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709.4335 | Localization of an impurity particle on a boson Mott insulator
background | We investigate the behavior of a single particle hopping on a three
dimensional cubic optical lattice in the presence of a Mott insulator of bosons
in the same lattice. We calculate the critical interaction strength between the
impurity and background bosons, beyond which there is bound state (polaron)
formation. We give exact results in the limit of a perfect Mott insulator,
where polaron formation is equivalent to impurity localization. We calculate
the effects of lattice anisotropy, higher impurity bands, and fluctuations of
the Mott insulator on the localization threshold. We argue that our results can
be checked experimentally by RF spectroscopy of impurity particles.
| cond-mat.other | we investigate the behavior of a single particle hopping on a three dimensional cubic optical lattice in the presence of a mott insulator of bosons in the same lattice we calculate the critical interaction strength between the impurity and background bosons beyond which there is bound state polaron formation we give exact results in the limit of a perfect mott insulator where polaron formation is equivalent to impurity localization we calculate the effects of lattice anisotropy higher impurity bands and fluctuations of the mott insulator on the localization threshold we argue that our results can be checked experimentally by rf spectroscopy of impurity particles | [['we', 'investigate', 'the', 'behavior', 'of', 'a', 'single', 'particle', 'hopping', 'on', 'a', 'three', 'dimensional', 'cubic', 'optical', 'lattice', 'in', 'the', 'presence', 'of', 'a', 'mott', 'insulator', 'of', 'bosons', 'in', 'the', 'same', 'lattice', 'we', 'calculate', 'the', 'critical', 'interaction', 'strength', 'between', 'the', 'impurity', 'and', 'background', 'bosons', 'beyond', 'which', 'there', 'is', 'bound', 'state', 'polaron', 'formation', 'we', 'give', 'exact', 'results', 'in', 'the', 'limit', 'of', 'a', 'perfect', 'mott', 'insulator', 'where', 'polaron', 'formation', 'is', 'equivalent', 'to', 'impurity', 'localization', 'we', 'calculate', 'the', 'effects', 'of', 'lattice', 'anisotropy', 'higher', 'impurity', 'bands', 'and', 'fluctuations', 'of', 'the', 'mott', 'insulator', 'on', 'the', 'localization', 'threshold', 'we', 'argue', 'that', 'our', 'results', 'can', 'be', 'checked', 'experimentally', 'by', 'rf', 'spectroscopy', 'of', 'impurity', 'particles']] | [-0.16154593310784549, 0.2323259402462729, -0.051296223140805244, 0.09847094284486957, 0.013332768688157488, -0.18549421323069298, 0.10892270453489171, 0.37594811668476236, -0.20265624723665845, -0.22472503137004635, 0.007298217362124258, -0.32960164231749683, -0.11271899422102322, 0.10052570876723621, 0.06665551255439194, -6.90020567092758e-05, 0.005528406338551297, -0.014266720928180102, -0.10638550843353957, -0.2636309703252314, 0.3088193273288198, 7.015769369900227e-07, 0.28273557644122493, 0.1665793010750069, 0.03591524836911748, 0.06721969055853641, 0.14656434795604303, 0.016518816741434142, -0.208421071635712, 0.056484138315471895, 0.20666834131798867, -0.11755729295635739, 0.18471389059693769, -0.41055763899706876, -0.19943196919764608, 0.02191682749141294, 0.18686367279867858, 0.21246041078456285, -0.0730763655267835, -0.3131831812654407, 0.016348882452943005, -0.19832525993339145, -0.11777558562327893, -0.051574411738189295, -0.01228608143551705, -0.0040043172842930425, -0.26737614293009615, 0.10919198606615492, 0.03402105907578236, 0.06959854103983022, -0.11002220451169145, -0.05007977603683965, -0.04468023419030942, 0.07058828049160254, 0.02861756044204902, 0.03598475985032005, 0.14731291596455356, -0.17586856687424957, -0.1274548611836508, 0.41412695578765124, -0.12297178792337385, -0.13561801120298556, 0.20540730291171572, -0.20567959467790878, -0.06069064067784124, 0.16321227701980837, 0.11623817392123434, 0.06481365515635563, -0.10030716243020904, 0.11225504616763479, -0.05576477682468696, 0.19441087499189263, -0.015022778346274909, 0.09343893240796976, 0.25345970759651837, 0.1906727269703809, 0.05995191287141866, 0.21181141666938158, -0.13464861747790843, -0.08224013381942104, -0.24693754512386826, -0.1514071944441709, -0.28557513372148746, 0.06585748135582364, -0.07863872916445522, -0.19977375532751188, 0.4167037699013375, 0.19444874792008285, 0.18776442567244744, -0.038684832007185414, 0.20051403872919485, 0.17582133865149585, 0.0170176424121914, 0.017231672729114786, 0.2781793139516734, 0.13434283749666065, 0.04983261614464796, -0.31887574054193324, -0.020350458400431447, 0.12320718785318044] |
709.4336 | Universal properties of the confining string in the random percolation
model | Random percolation can be fully interpreted as a confining pure gauge theory.
With numerical high-precision measurements of Polyakov-Polyakov correlators at
finite temperature, we could well observe the presence of shape effects due to
rough fluctuations of the confining string, in complete agreement with the
universality predictions up to the next-to-leading order.
| hep-lat | random percolation can be fully interpreted as a confining pure gauge theory with numerical highprecision measurements of polyakovpolyakov correlators at finite temperature we could well observe the presence of shape effects due to rough fluctuations of the confining string in complete agreement with the universality predictions up to the nexttoleading order | [['random', 'percolation', 'can', 'be', 'fully', 'interpreted', 'as', 'a', 'confining', 'pure', 'gauge', 'theory', 'with', 'numerical', 'highprecision', 'measurements', 'of', 'polyakovpolyakov', 'correlators', 'at', 'finite', 'temperature', 'we', 'could', 'well', 'observe', 'the', 'presence', 'of', 'shape', 'effects', 'due', 'to', 'rough', 'fluctuations', 'of', 'the', 'confining', 'string', 'in', 'complete', 'agreement', 'with', 'the', 'universality', 'predictions', 'up', 'to', 'the', 'nexttoleading', 'order']] | [-0.08134580527432263, 0.23790004612877966, -0.11162910032318905, 0.05028661478310823, -0.02696268688887358, -0.10786620625294745, 0.01952986677410081, 0.3492765722051263, -0.21850031981244683, -0.3035252641141415, 0.05412552748573944, -0.31677726870402695, -0.07033172403462232, 0.08685372414067388, -0.005537986028939485, 0.11691350817680358, 0.00795767824864015, 0.02231248941272497, -0.12370815713657066, -0.22781146923080087, 0.24311193198896944, 0.05416015842929482, 0.2631122136861086, 0.15262430576607586, 0.01824839601293206, 0.005281090717762709, -0.028763281367719173, 0.10716791475191713, -0.14310388309881092, 0.03246930208057165, 0.23829106532037259, -0.07622395630925893, 0.13701774259097874, -0.44363376721739767, -0.24868725143373013, 0.09495314970612526, 0.14785268984735012, 0.20672316532582044, -0.012569147069007159, -0.294229259416461, 0.0757050327770412, -0.1600850720331073, -0.22162095996784045, -0.11592902027070523, -0.0385458355396986, -0.009191177282482386, -0.3017413224838674, 0.11632244789041579, -0.029535854931455104, 0.03844710068777204, -0.00805313367396593, -0.05109033260494471, -0.03706010264810175, 0.12281112543307245, 0.05453027132898569, 0.09862941512838005, 0.13147540264762939, -0.1657959161535837, -0.18132924678735435, 0.41831857614219187, -0.15169914704980328, -0.1491465377435088, 0.18531149363145233, -0.21315699987113476, -0.12019392734393478, 0.14174896884243934, 0.16657189141958953, 0.07945084134116769, -0.1067765564378351, 0.10928996516391636, 0.020144256576895715, 0.14802950030192732, 0.04271383604034781, 0.028234505298169097, 0.26498630579560994, 0.14548630952835084, -0.01648255324922502, 0.1511277517094277, -0.03914399949833751, -0.15043409267440438, -0.42475328292697667, -0.018849926758557557, -0.13955976486671717, 0.08459371908567846, -0.16157387763261796, -0.224391566272825, 0.3191065247356892, 0.14765749624930322, 0.2123580816015601, 0.07952411863021552, 0.23615190852433443, 0.1243880776828155, 0.08938157519325614, 0.033210268318653105, 0.25006076076999306, 0.22947805639356375, 0.0806402843631804, -0.25009533563628794, 0.034359948220662774, 0.07292880421504379] |
709.4337 | Gravitation, Cosmology and Space-Time Torsion | Poincar\'e gauge theory of gravity offers opportunities to solve some
principal problems of general relativity theory and modern cosmology. In the
frame of this theory the gravitational interaction can have the repulsion
character in the case of usual gravitating matter with positive values of
energy density and pressure satisfying energy dominance condition. Cosmological
consequences of gravitational repulsion are considered in the case of
homogeneous isotropic models in connection with the problem of cosmological
singularity and dark energy problem of general relativity theory. Regular Big
Bang inflationary scenario with accelerating stage of cosmological expansion at
asymptotics and the principal role of space-time torsion in this scenario are
discussed.
| gr-qc | poincare gauge theory of gravity offers opportunities to solve some principal problems of general relativity theory and modern cosmology in the frame of this theory the gravitational interaction can have the repulsion character in the case of usual gravitating matter with positive values of energy density and pressure satisfying energy dominance condition cosmological consequences of gravitational repulsion are considered in the case of homogeneous isotropic models in connection with the problem of cosmological singularity and dark energy problem of general relativity theory regular big bang inflationary scenario with accelerating stage of cosmological expansion at asymptotics and the principal role of spacetime torsion in this scenario are discussed | [['poincare', 'gauge', 'theory', 'of', 'gravity', 'offers', 'opportunities', 'to', 'solve', 'some', 'principal', 'problems', 'of', 'general', 'relativity', 'theory', 'and', 'modern', 'cosmology', 'in', 'the', 'frame', 'of', 'this', 'theory', 'the', 'gravitational', 'interaction', 'can', 'have', 'the', 'repulsion', 'character', 'in', 'the', 'case', 'of', 'usual', 'gravitating', 'matter', 'with', 'positive', 'values', 'of', 'energy', 'density', 'and', 'pressure', 'satisfying', 'energy', 'dominance', 'condition', 'cosmological', 'consequences', 'of', 'gravitational', 'repulsion', 'are', 'considered', 'in', 'the', 'case', 'of', 'homogeneous', 'isotropic', 'models', 'in', 'connection', 'with', 'the', 'problem', 'of', 'cosmological', 'singularity', 'and', 'dark', 'energy', 'problem', 'of', 'general', 'relativity', 'theory', 'regular', 'big', 'bang', 'inflationary', 'scenario', 'with', 'accelerating', 'stage', 'of', 'cosmological', 'expansion', 'at', 'asymptotics', 'and', 'the', 'principal', 'role', 'of', 'spacetime', 'torsion', 'in', 'this', 'scenario', 'are', 'discussed']] | [-0.19317897660309605, 0.11815194809965998, -0.11538370540441736, 0.11766273009799699, -0.09036943191122786, -0.15455070387345748, -0.1008399012759676, 0.27364610429748754, -0.25104042940781773, -0.2931339420099682, 0.03200596672260838, -0.24822445626361905, -0.10297941310313817, 0.12295263368314324, 0.0015259178303112493, 0.01641326626911259, 0.016163433292689166, 0.06804545160174091, -0.07437891802080324, -0.260874963060857, 0.4010012273755029, 0.12574285304469762, 0.22047611660210886, 0.041989604159145155, 0.06669705260026042, -0.028750221791163644, -0.027273012368687403, 0.035301798963310003, -0.16308476523470097, 0.0796717477888391, 0.2432044609383504, 0.11347121221805427, 0.27167553731640715, -0.45283435055307136, -0.2798192573223855, 0.1517006948189897, 0.09288317111329497, 0.14550256254543142, -0.07471367178014784, -0.2686897974470021, 0.027391992132919273, -0.19617463469453086, -0.19996489813033422, -0.011350357774471012, 0.008488962949018613, -0.03974972184851905, -0.22001868761449217, 0.190581523001664, -0.0033329753270459786, -0.019418421218815807, -0.13545976542632712, -0.053987190044685225, 0.033368779899047636, 0.008351592821391108, 0.1624233866824168, 0.010417313335646187, 0.10480517957568447, -0.16699488775230178, -0.08234212842604546, 0.46095205148873486, -0.07710437910091654, -0.18507507823790623, 0.12667545636193217, -0.1691310531416229, -0.16691377626679768, 0.06655424786731601, 0.11732954739823624, 0.09575137417659024, -0.07468320763556757, 0.23579808463621013, 0.043202472453562665, 0.06709425031668811, 0.13220791166178256, 0.031093607522834476, 0.3209408959809029, 0.12224731592583322, 0.026193523581496604, 0.04757932611854277, -0.004106317124564514, -0.14648729999697654, -0.4022066618759777, -0.12569577662082754, -0.1277147108802102, 0.06933430157967399, -0.19212923738528825, -0.19212425581971618, 0.3285769931188671, 0.10862796205731336, 0.09050752751302914, 0.045218092119582345, 0.2621767497403878, 0.06879086054591724, -0.031079675024701717, 0.025541636405216755, 0.3098701232335439, 0.19383640233949523, 0.12820397894263755, -0.2078112719262837, -0.059812561395604195, 0.09400916106511499] |
709.4338 | Decay of Scalar Condensation in Quantum Field Theory | We consider decay processes of scalar-field condensation in the framework of
well-established quantum field theory. We postulate that the quantum state
corresponding to the scalar-field condensation is so-called coherent state with
discussing the validity of such a treatment. We show that, by using the
unitarity relation of the scattering matrix, decay rate of the coherent state
is systematically calculated. We apply our procedure to derive explicit
formulae of decay rates for two cases: (i) we study the case where the scalar
condensation decays into a pair of scalar particles and show that our formalism
reproduces the results obtained from the parametric-resonance analysis, and
(ii) we also calculate the decay rate when the coherent state decays via
anomaly.
| hep-ph | we consider decay processes of scalarfield condensation in the framework of wellestablished quantum field theory we postulate that the quantum state corresponding to the scalarfield condensation is socalled coherent state with discussing the validity of such a treatment we show that by using the unitarity relation of the scattering matrix decay rate of the coherent state is systematically calculated we apply our procedure to derive explicit formulae of decay rates for two cases i we study the case where the scalar condensation decays into a pair of scalar particles and show that our formalism reproduces the results obtained from the parametricresonance analysis and ii we also calculate the decay rate when the coherent state decays via anomaly | [['we', 'consider', 'decay', 'processes', 'of', 'scalarfield', 'condensation', 'in', 'the', 'framework', 'of', 'wellestablished', 'quantum', 'field', 'theory', 'we', 'postulate', 'that', 'the', 'quantum', 'state', 'corresponding', 'to', 'the', 'scalarfield', 'condensation', 'is', 'socalled', 'coherent', 'state', 'with', 'discussing', 'the', 'validity', 'of', 'such', 'a', 'treatment', 'we', 'show', 'that', 'by', 'using', 'the', 'unitarity', 'relation', 'of', 'the', 'scattering', 'matrix', 'decay', 'rate', 'of', 'the', 'coherent', 'state', 'is', 'systematically', 'calculated', 'we', 'apply', 'our', 'procedure', 'to', 'derive', 'explicit', 'formulae', 'of', 'decay', 'rates', 'for', 'two', 'cases', 'i', 'we', 'study', 'the', 'case', 'where', 'the', 'scalar', 'condensation', 'decays', 'into', 'a', 'pair', 'of', 'scalar', 'particles', 'and', 'show', 'that', 'our', 'formalism', 'reproduces', 'the', 'results', 'obtained', 'from', 'the', 'parametricresonance', 'analysis', 'and', 'ii', 'we', 'also', 'calculate', 'the', 'decay', 'rate', 'when', 'the', 'coherent', 'state', 'decays', 'via', 'anomaly']] | [-0.08047480426000383, 0.17999385474838017, -0.09688697151121341, 0.1144116832019013, -0.004966653113325055, -0.1165324668917391, 0.05603493305229638, 0.30893389805036986, -0.23398580527307195, -0.21298047083899632, 0.050211087950807795, -0.26797305391783005, -0.12685212935918036, 0.1795978393011655, 0.07223185977269696, 0.038430695258813284, 0.055096516075233616, 0.05884483967645046, -0.06730094410550709, -0.20185110711444837, 0.37700901441992474, 0.0040244172928202105, 0.27885217807040763, 0.07758821720559882, 0.06340633310441278, 0.035962159566294685, -0.006020829698437044, -0.027616070130627637, -0.18907050116868981, 0.07469188059186642, 0.15508020714395002, 0.1550536177909145, 0.17449764386774638, -0.41242607103453743, -0.19264464186998004, 0.10839074064428225, 0.14644085268891002, 0.18196290558498576, -0.07263078887620543, -0.30560140245649803, 0.06852693466716406, -0.18644557517563176, -0.134983555927204, -0.10069068614194472, -0.012580149539380183, -0.032411715590880595, -0.30067180975889546, 0.12548120723988535, 0.03861554757031238, -0.02737853005846851, -0.08659567752391355, -0.0853857662385473, 0.027534714318875574, 0.08105106344849516, 0.0988395243204541, -0.03794765574499392, 0.13777847273641416, -0.1637182643549501, -0.1198126680086343, 0.344671551273483, -0.14114945511031163, -0.15533255925004044, 0.13630103666741306, -0.15845404259967977, -0.09031143632486589, 0.11180488399874705, 0.13897135566659352, 0.13883974805920044, -0.14021265019852228, 0.1020666398257256, -0.025678358506411314, 0.13870096305966315, 0.021170364768427406, 0.04448067348920064, 0.16623669640264577, 0.12165678174107566, -0.024762328838507652, 0.17787764326303115, -0.08841661830695394, -0.17008747828280568, -0.39945844439869255, -0.1972027633607631, -0.12884907877375174, 0.07280171954204352, -0.03846180948809896, -0.1270211114305366, 0.3721943612719894, 0.1282411058091073, 0.217896281200278, 0.08033944580815414, 0.2748097281616468, 0.1837513100380241, 0.02066569905489301, 0.05405178888199421, 0.29407541542990595, 0.1870900763091273, 0.04838196913108257, -0.30488306107039315, -0.00608119786852318, 0.09002197856226793] |
709.4339 | Transference of bilinear multiplier operators on Lorentz spaces | We prove a DeLeeuw type theorem of transference of boundedness for modulation
invariant multiplier operators between the groups defined by the real line and
the torus.
| math.CA | we prove a deleeuw type theorem of transference of boundedness for modulation invariant multiplier operators between the groups defined by the real line and the torus | [['we', 'prove', 'a', 'deleeuw', 'type', 'theorem', 'of', 'transference', 'of', 'boundedness', 'for', 'modulation', 'invariant', 'multiplier', 'operators', 'between', 'the', 'groups', 'defined', 'by', 'the', 'real', 'line', 'and', 'the', 'torus']] | [-0.21256284769624473, 0.07329539928585291, -0.06021445261314511, 0.1160182799398899, -0.04353644453920424, -0.1275697953812778, 0.06269173055887223, 0.30277719736099246, -0.31605941712856295, -0.2188183630257845, 0.1400968643836677, -0.21275386376306415, -0.10989348914474249, 0.24742393324151635, -0.09007642220705747, 0.0005551206320524216, -0.011895359586924314, -0.013268973734229804, -0.1582543919235468, -0.21795785509049892, 0.4659477651119232, -0.05743203088641167, 0.22147436708211898, 0.08832618527114391, 0.10390124652534723, 0.08068406589329243, -0.08928212217986584, -0.07914715908467769, -0.13955928262323142, 0.172108538383618, 0.18982811018824577, 0.057421625358983874, 0.1918366400897503, -0.33614672243595123, -0.18084868263453246, 0.1958764285966754, 0.07860062949359417, -0.0908129245787859, -0.04370508872903883, -0.33833823665976526, 0.12013235803693532, -0.1193994353711605, -0.21714306185021998, -0.023548317477107047, 0.046591058224439624, 0.13140535458922387, -0.28251824021339417, 0.05752086503431201, 0.17540632605552672, 0.15280797239392996, -0.14028710164129735, -0.026947593837976454, -0.03616448752582073, 0.09705079896375537, 0.007309086546301842, -0.03093281829729676, 0.12549510473385453, -0.003180924654006958, -0.15288284331560134, 0.3197851645946503, -0.11911331158131361, -0.2503216743469238, 0.09722835525870323, -0.15779555871151388, -0.11523266106843949, 0.04219503283500672, 0.08519096873700618, 0.15352577805519105, -0.0390207464620471, 0.16056660792557523, -0.1323764494806528, 0.10700482688844204, 0.11731450136750937, 0.04682015761733055, 0.08997086059302091, 0.009898345097899436, 0.20852067556232215, 0.1351748047582805, -0.02164051041007042, -0.04536633923649788, -0.37887061059474947, -0.21315015524625777, -0.15466668212786316, 0.12791316784918308, -0.11471682935894932, -0.17479044289328158, 0.39651025101542475, 0.03505386242642999, 0.18903632521629332, 0.10109555416624062, 0.18755320459604263, 0.1788560900837183, 0.09740591298788787, 0.025926693491637707, 0.15075736716389657, 0.2750327703449875, 0.06739375412464142, -0.15930665794759988, -0.05518746139481664, 0.3021191643178463] |
709.434 | Pyrolysis of secondary raw material from used frying oils | A totally green chemistry alternative that would lead both to energy
production from renewable feedstocks and to solutions of parts of ecological
problems related to waste disposals would be very attractive. Pyrolysis of used
frying oils seems to be one option for this attractive alternative as we
propose to demonstrate in this study. Since 2002, the whole production of waste
edible oils (around 100 000 tons per year in France) must be collected and
transformed into secondary raw material by specific companies. The general aim
of the present work is to produce one of the following target sources of
energy: (i) H2 for fuel cells, (ii) H2/CO in satisfactory ratios to produce
biodiesel by Fischer-Tropsch (FT) reaction, or (iii) hydrocarbon mixtures with
high added value. Therefore, in this work, the conversion of a crude used
frying oil, named VEGETAMIXOIL^(r); from Ecogras Company (France), was
investigated (weight composition: C 73.6%; O 9.7%; H 12.2%). In support of our
knowledge related to fatty acids and methyl esters, a laboratory pilot plant
was built to study the pyrolysis of used frying oils. Effects of temperature
(700-800 degrees C), residence time, addition of reaction initiator (H2O2) or
inhibitor (thiophene), and diluent (water or nitrogen) were analysed with
regard to the nature and amounts of pyrolysis products. Results led to the
conclusion that the best operating conditions of pyrolysis are 800 degrees C
with water as diluent, leading to the production of dihydrogen (40%) and
hydrocarbons from methane to propylene, essentially. CO and CO2 are also
produced but with low molar fractions. Furthermore, a ratio H2/CO favourable
for low temperature FT is obtained.
| physics.chem-ph | a totally green chemistry alternative that would lead both to energy production from renewable feedstocks and to solutions of parts of ecological problems related to waste disposals would be very attractive pyrolysis of used frying oils seems to be one option for this attractive alternative as we propose to demonstrate in this study since 2002 the whole production of waste edible oils around 100 000 tons per year in france must be collected and transformed into secondary raw material by specific companies the general aim of the present work is to produce one of the following target sources of energy i h2 for fuel cells ii h2co in satisfactory ratios to produce biodiesel by fischertropsch ft reaction or iii hydrocarbon mixtures with high added value therefore in this work the conversion of a crude used frying oil named vegetamixoilr from ecogras company france was investigated weight composition c 736 o 97 h 122 in support of our knowledge related to fatty acids and methyl esters a laboratory pilot plant was built to study the pyrolysis of used frying oils effects of temperature 700800 degrees c residence time addition of reaction initiator h2o2 or inhibitor thiophene and diluent water or nitrogen were analysed with regard to the nature and amounts of pyrolysis products results led to the conclusion that the best operating conditions of pyrolysis are 800 degrees c with water as diluent leading to the production of dihydrogen 40 and hydrocarbons from methane to propylene essentially co and co2 are also produced but with low molar fractions furthermore a ratio h2co favourable for low temperature ft is obtained | [['a', 'totally', 'green', 'chemistry', 'alternative', 'that', 'would', 'lead', 'both', 'to', 'energy', 'production', 'from', 'renewable', 'feedstocks', 'and', 'to', 'solutions', 'of', 'parts', 'of', 'ecological', 'problems', 'related', 'to', 'waste', 'disposals', 'would', 'be', 'very', 'attractive', 'pyrolysis', 'of', 'used', 'frying', 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'furthermore', 'a', 'ratio', 'h2co', 'favourable', 'for', 'low', 'temperature', 'ft', 'is', 'obtained']] | [-0.010482826227054378, 0.14033592224411695, -0.02583516528632989, 0.012908893381332965, -0.012494866165535566, -0.13055789035165513, 0.07861638996361482, 0.36658247608579414, -0.21548010494395448, -0.3189881926138108, 0.0918271181316297, -0.30255675619762196, -0.02737718539512051, 0.15590848719886735, -0.06899533735735244, 0.00011436458190384888, 0.03790615885115852, -0.03622095665677374, 0.024341666404441475, -0.23904097794565632, 0.19954052895458094, 0.12714158322073912, 0.2582565398249579, 0.10494744625967521, 0.07981547909522695, -0.10635497142854881, -0.020860685344787203, -0.05653563073549168, -0.12948699726022236, 0.1238834420534173, 0.3245604597347179, 0.09984053919595995, 0.199214046113425, -0.44340321539964217, -0.19149838635501892, 0.0940266765454518, 0.06986677217957235, 0.05256207942651039, -0.05803929939095799, -0.21178810909929635, 0.052446177749652975, 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709.4341 | On three approaches to conjugacy in semigroups | We compare three approaches to the notion of conjugacy for semigroups, the
first one via the transitive closure of the $uv\sim vu$ relation, the second
one via an action of inverse semigroups on themselves by partial
transformations, and the third one via characters of finite-dimensional
representations.
| math.GR | we compare three approaches to the notion of conjugacy for semigroups the first one via the transitive closure of the uvsim vu relation the second one via an action of inverse semigroups on themselves by partial transformations and the third one via characters of finitedimensional representations | [['we', 'compare', 'three', 'approaches', 'to', 'the', 'notion', 'of', 'conjugacy', 'for', 'semigroups', 'the', 'first', 'one', 'via', 'the', 'transitive', 'closure', 'of', 'the', 'uvsim', 'vu', 'relation', 'the', 'second', 'one', 'via', 'an', 'action', 'of', 'inverse', 'semigroups', 'on', 'themselves', 'by', 'partial', 'transformations', 'and', 'the', 'third', 'one', 'via', 'characters', 'of', 'finitedimensional', 'representations']] | [-0.094198913677879, 0.0979372097328609, -0.030364840615378773, 0.0769268505923126, -0.11019564610298561, -0.0655261543781861, 0.04503172702844376, 0.3053067857602044, -0.3893580037452605, -0.19923417816829422, 0.1438549136965657, -0.3448959929949563, -0.13451898146582686, 0.227887740176495, -0.03585082260162934, 0.04697933495449631, 0.004571877217487148, 0.1250224547136737, -0.16156884094538249, -0.2485870009581761, 0.4660501800801443, -0.04517521813471356, 0.22632244711174912, -0.0041674439309407835, 0.15922507749991896, 0.011937332342115595, -0.058292102438154754, -0.055954265306987196, -0.08450393506285289, 0.14316090633687767, 0.2213829059113303, 0.09718204535538857, 0.2623059403343612, -0.38669168349841365, -0.11449726887614183, 0.13730976295293026, 0.09381696638529716, 0.011555724210389282, 0.013995697810415826, -0.33111466131294554, 0.08926164219155908, -0.19853524946729126, -0.05660152114401369, -0.07674466267876003, 0.04516065274567708, 0.0013423354729362156, -0.21680471262611126, 0.02271843891914772, 0.16513762110844254, 0.08604941315159363, -0.06501916096464772, -0.035349815719477505, -0.018123863330718294, 0.15329704482270323, 0.027633533367644184, -0.05250757059041897, 0.05554525109777308, -0.09028348939128868, -0.19848058121683804, 0.3861505735422606, -0.0529558552712526, -0.23369483949373598, 0.18532940457858468, -0.1279865781189469, -0.1785749296617249, 0.10134284041376541, 0.08935422118267287, 0.15671235808859701, -0.12735666207078358, 0.09898527703404872, -0.09054084098391721, 0.0794892075810703, 0.059203279609589474, -0.06668806298757377, 0.1000910558960522, 0.09871968515622227, 0.06713588266511974, 0.1754280853530635, 0.05439299335399562, -0.03150919168863608, -0.32391042229921924, -0.15563460973941762, -0.1104702511549239, 0.011301035263940044, -0.10414474999877553, -0.1453034351579845, 0.43510910573051026, 0.11790341506307216, 0.1999233349773061, 0.11512271840246799, 0.2314494584646562, 0.12814921555716707, 0.08976450036077396, 0.022738155119283045, 0.15484564899183487, 0.23540590116855406, -0.040373558532851545, -0.235078921142343, 0.011876830775493188, 0.28544718634499155] |
709.4342 | A search for various double beta decay modes of tin isotopes | For the first time an extensive search for various double beta decay modes of
124Sn and 112Sn has been performed. A total exposure of 43.29 kg.days has been
accumulated. New half-life limits of 124Sn into excited states of 124Te have
been obtained; the lower half-life limit for the first excited 2+ state at
602.7keV is T_1/2 > 3.1 *10^{18}yrs (90 % CL) and for the first excited 0+
state T_1/2 > 7.7 *10^{18}yrs (90 % CL). For the very first time, ground state
and excited state transitions of 112Sn have been experimentally explored. The
obtained half-life limits for ECEC and beta+/EC into the first excited 2+ state
of 112Cd are both T_1/2 >1.4 *10^{18}yrs (90 % CL). A resonance enhancement in
the decay rate for 0nuECEC might be expected for the 0+-state at 1870.9keV due
to degeneracy with the 112Sn ground state. No signal was found resulting in a
lower half-life limit of T_1/2 > 1.6 *10^{18} yrs (90 % CL) for this decay. As
all the excited state searches are based on gamma-lines, all half-life limits
apply for both neutrino and neutrino-less modes. Neutrinoless ground state
transitions were searched for in the ECEC and beta+/EC mode and a limit of
T_1/2 > 1.5 *10^{18} yrs (90 % CL) was obtained for ECEC decays of 112Sn,
whilst the beta+/EC mode results are inconclusive.
| nucl-ex | for the first time an extensive search for various double beta decay modes of 124sn and 112sn has been performed a total exposure of 4329 kgdays has been accumulated new halflife limits of 124sn into excited states of 124te have been obtained the lower halflife limit for the first excited 2 state at 6027kev is t_12 31 1018yrs 90 cl and for the first excited 0 state t_12 77 1018yrs 90 cl for the very first time ground state and excited state transitions of 112sn have been experimentally explored the obtained halflife limits for ecec and betaec into the first excited 2 state of 112cd are both t_12 14 1018yrs 90 cl a resonance enhancement in the decay rate for 0nuecec might be expected for the 0state at 18709kev due to degeneracy with the 112sn ground state no signal was found resulting in a lower halflife limit of t_12 16 1018 yrs 90 cl for this decay as all the excited state searches are based on gammalines all halflife limits apply for both neutrino and neutrinoless modes neutrinoless ground state transitions were searched for in the ecec and betaec mode and a limit of t_12 15 1018 yrs 90 cl was obtained for ecec decays of 112sn whilst the betaec mode results are inconclusive | [['for', 'the', 'first', 'time', 'an', 'extensive', 'search', 'for', 'various', 'double', 'beta', 'decay', 'modes', 'of', '124sn', 'and', '112sn', 'has', 'been', 'performed', 'a', 'total', 'exposure', 'of', '4329', 'kgdays', 'has', 'been', 'accumulated', 'new', 'halflife', 'limits', 'of', '124sn', 'into', 'excited', 'states', 'of', '124te', 'have', 'been', 'obtained', 'the', 'lower', 'halflife', 'limit', 'for', 'the', 'first', 'excited', '2', 'state', 'at', '6027kev', 'is', 't_12', '31', '1018yrs', '90', 'cl', 'and', 'for', 'the', 'first', 'excited', '0', 'state', 't_12', '77', '1018yrs', '90', 'cl', 'for', 'the', 'very', 'first', 'time', 'ground', 'state', 'and', 'excited', 'state', 'transitions', 'of', '112sn', 'have', 'been', 'experimentally', 'explored', 'the', 'obtained', 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'betaec', 'mode', 'results', 'are', 'inconclusive']] | [-0.04813212658309395, 0.2759636830992778, 0.007658624931519746, 0.09923690137506094, 0.08544438429844547, -0.11312954918314475, 0.14454895127586634, 0.30624205269411486, -0.10190096377715785, -0.30880814176689797, 0.1024164425440897, -0.32473362123874844, 0.10795661600807435, 0.21649306588520664, 0.13959758029426975, 0.09069258516175532, 0.07883331009443796, 0.07244918579378447, -0.026917106826830312, -0.19972405704573007, 0.13740197996683595, 0.08549298421987157, 0.2348015961689734, 0.09567031594661046, 0.05070865520645144, -0.08141443824927094, 0.06744688707140256, -0.17324305291041592, -0.1658487359571429, 0.018609108349235886, 0.2541479651359314, 0.12244169098294322, 0.18180015743797961, -0.3915948562064858, -0.10653164680555181, 0.10724791934832333, 0.19292736012941086, 0.07156340366246987, -0.0275660882959854, -0.42316165943366457, 0.08700874829027837, -0.21250637071119305, -0.06455548066768865, -0.03449670515761201, 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709.4343 | D0 - D0bar mixing: theory basics | I discuss how the novel experimental data on D0 - D0bar mixing can be
combined to provide information on the fundamental theoretical quantities
describing the mixing itself. I then discuss the theoretical impact of the new
data, focusing in particular on the MSSM.
| hep-ph | i discuss how the novel experimental data on d0 d0bar mixing can be combined to provide information on the fundamental theoretical quantities describing the mixing itself i then discuss the theoretical impact of the new data focusing in particular on the mssm | [['i', 'discuss', 'how', 'the', 'novel', 'experimental', 'data', 'on', 'd0', 'd0bar', 'mixing', 'can', 'be', 'combined', 'to', 'provide', 'information', 'on', 'the', 'fundamental', 'theoretical', 'quantities', 'describing', 'the', 'mixing', 'itself', 'i', 'then', 'discuss', 'the', 'theoretical', 'impact', 'of', 'the', 'new', 'data', 'focusing', 'in', 'particular', 'on', 'the', 'mssm']] | [-0.06137066872213923, 0.15293344748871668, -0.08428763057149592, 0.1047354438785641, -0.11823729019878167, -0.11383361391545761, 0.0878523116975668, 0.30144331768332494, -0.28629155253015814, -0.23735194888320707, 0.09702673528642793, -0.2977237368689939, -0.09401258904420372, 0.19018319173760356, -0.06266952676343776, 0.04735081821369628, 0.08938592202251866, 0.010099007244293932, -0.07805515929413516, -0.20175656401330516, 0.3453669064633903, 0.024385446993013222, 0.2729622991312118, 0.1420161502347106, 0.003592346645226436, -0.022077432700565884, -0.09931098589939731, -0.049218786880373955, -0.2450332935189917, 0.13740284071259556, 0.17375299907732933, 0.21515445071937783, 0.1448184647375629, -0.45847667274730547, -0.1613739924061866, 0.05680936088208996, 0.1437166405265175, 0.1059705029197392, -0.09382342835167601, -0.3368916976309958, 0.028707768723723433, -0.12061113527133352, -0.03152884365547271, -0.13165670464791002, -0.036107256254624756, -0.030508138416778473, -0.272318121755407, 0.03310931899717876, -0.026811303881307442, 0.06343248914137282, 0.014729814603924751, -0.18691953209539255, -0.029294422339825404, 0.11078471703720945, 0.09395336118038922, -0.023069348599251714, 0.10746774374828896, -0.10450940907356285, -0.14474183441849336, 0.3916089863826831, -0.08313273012615918, -0.21761189268103667, 0.147157548882422, -0.15427645788128888, -0.19350551512269748, 0.03144412257132076, 0.27150663635915234, 0.01859271147155336, -0.147847552384649, 0.11533457853476561, -0.07490511792933657, 0.16114175749853962, -0.0280701840252039, 0.0750234210641966, 0.1963213627182302, 0.255876360056434, -0.006272992740074794, 0.0656261194602675, -0.11494811068266808, -0.0929855006702599, -0.4190900349058211, -0.12328120489560422, -0.1288568720310217, 0.023442662054938928, -0.10821672284648576, -0.05848323640280536, 0.44506016391373815, 0.22375141743881008, 0.2749179306417881, -0.014758105079332987, 0.31947884593336356, 0.08854939875059895, -0.02196676947087759, -0.0019467010029724666, 0.3344577002738203, 0.12560635215292373, 0.09655846889308166, -0.29981289042292963, 0.07594425148064536, -0.008283072428423025] |
709.4344 | Emergence of Scale-Free Syntax Networks | The evolution of human language allowed the efficient propagation of
nongenetic information, thus creating a new form of evolutionary change.
Language development in children offers the opportunity of exploring the
emergence of such complex communication system and provides a window to
understanding the transition from protolanguage to language. Here we present
the first analysis of the emergence of syntax in terms of complex networks. A
previously unreported, sharp transition is shown to occur around two years of
age from a (pre-syntactic) tree-like structure to a scale-free, small world
syntax network. The nature of such transition supports the presence of an
innate component pervading the emergence of full syntax. This observation is
difficult to interpret in terms of any simple model of network growth, thus
suggesting that some internal, perhaps innate component was at work. We explore
this problem by using a minimal model that is able to capture several
statistical traits. Our results provide evidence for adaptive traits, but it
also indicates that some key features of syntax might actually correspond to
non-adaptive phenomena.
| q-bio.NC | the evolution of human language allowed the efficient propagation of nongenetic information thus creating a new form of evolutionary change language development in children offers the opportunity of exploring the emergence of such complex communication system and provides a window to understanding the transition from protolanguage to language here we present the first analysis of the emergence of syntax in terms of complex networks a previously unreported sharp transition is shown to occur around two years of age from a presyntactic treelike structure to a scalefree small world syntax network the nature of such transition supports the presence of an innate component pervading the emergence of full syntax this observation is difficult to interpret in terms of any simple model of network growth thus suggesting that some internal perhaps innate component was at work we explore this problem by using a minimal model that is able to capture several statistical traits our results provide evidence for adaptive traits but it also indicates that some key features of syntax might actually correspond to nonadaptive phenomena | [['the', 'evolution', 'of', 'human', 'language', 'allowed', 'the', 'efficient', 'propagation', 'of', 'nongenetic', 'information', 'thus', 'creating', 'a', 'new', 'form', 'of', 'evolutionary', 'change', 'language', 'development', 'in', 'children', 'offers', 'the', 'opportunity', 'of', 'exploring', 'the', 'emergence', 'of', 'such', 'complex', 'communication', 'system', 'and', 'provides', 'a', 'window', 'to', 'understanding', 'the', 'transition', 'from', 'protolanguage', 'to', 'language', 'here', 'we', 'present', 'the', 'first', 'analysis', 'of', 'the', 'emergence', 'of', 'syntax', 'in', 'terms', 'of', 'complex', 'networks', 'a', 'previously', 'unreported', 'sharp', 'transition', 'is', 'shown', 'to', 'occur', 'around', 'two', 'years', 'of', 'age', 'from', 'a', 'presyntactic', 'treelike', 'structure', 'to', 'a', 'scalefree', 'small', 'world', 'syntax', 'network', 'the', 'nature', 'of', 'such', 'transition', 'supports', 'the', 'presence', 'of', 'an', 'innate', 'component', 'pervading', 'the', 'emergence', 'of', 'full', 'syntax', 'this', 'observation', 'is', 'difficult', 'to', 'interpret', 'in', 'terms', 'of', 'any', 'simple', 'model', 'of', 'network', 'growth', 'thus', 'suggesting', 'that', 'some', 'internal', 'perhaps', 'innate', 'component', 'was', 'at', 'work', 'we', 'explore', 'this', 'problem', 'by', 'using', 'a', 'minimal', 'model', 'that', 'is', 'able', 'to', 'capture', 'several', 'statistical', 'traits', 'our', 'results', 'provide', 'evidence', 'for', 'adaptive', 'traits', 'but', 'it', 'also', 'indicates', 'that', 'some', 'key', 'features', 'of', 'syntax', 'might', 'actually', 'correspond', 'to', 'nonadaptive', 'phenomena']] | [-0.11705915385728023, 0.090631867638561, -0.10687090199026199, 0.09080455320109371, -0.1433813588080034, -0.12374481273212098, 0.062329900062560895, 0.36396383810680727, -0.27049644568105996, -0.3283804386875705, 0.055544727380290586, -0.227055842980118, -0.23869767631108016, 0.15677879398387207, -0.06521487853226031, -0.005126069601345269, 0.05349424900756234, 0.04402279288584038, -0.013914018469012067, -0.18485843913287808, 0.32458355950361195, 0.06517264238730977, 0.2589720363857903, 0.03989155288931047, 0.07310594060603594, -0.05388046836687758, -0.02286373186961484, -0.01048654536555139, -0.1098118848092918, 0.15863198355160588, 0.2786970677034596, 0.19433801149010033, 0.299122263296545, -0.4171040754636071, -0.2478430154060439, 0.08379362544012552, 0.15025834970087396, 0.12787350950792237, -0.04485359986250779, -0.2831135799548443, 0.07445586154592691, -0.173140233277607, -0.12184230408582815, -0.09023555744684307, 0.02790082543899946, -0.04624114524017255, -0.23352653357958034, 0.045998359269784184, 0.10566889262903546, 0.10373374485717601, -0.05341247434329478, -0.04888249575389237, -0.009899060252644767, 0.16706481480949445, 0.031660823522921586, 0.018457955363168882, 0.09880168375564534, -0.14578480153705256, -0.14125503542983764, 0.38372840252678003, -0.03217691154962115, -0.1211613346149639, 0.24887830103516062, -0.1297833078056022, -0.16017579361850212, 0.13822812835868944, 0.17971631857658052, 0.050475506628782765, -0.16421189148421803, 0.02333834624917898, -0.012269706052130444, 0.19936305501180662, 0.038060967013713594, 0.05492093869299235, 0.21975688187868436, 0.2494634308743242, 0.014722964672554779, 0.13299828173721887, -0.04945346873221284, -0.12521295147447314, -0.2552088382653892, -0.16145833748469474, -0.12342138386821386, 0.03204903660834675, -0.08966144112689418, -0.19926668263785408, 0.4191125757518531, 0.1912138861458684, 0.20457172753946112, 0.06544300762538104, 0.25305988346737934, 0.03618371420246522, 0.09615045185120119, 0.05864208284900066, 0.1781735264933722, 0.08485936018842881, 0.11672687265386729, -0.19071075075031446, 0.1805789435492301, -0.004179249263255496] |
709.4345 | Three-frame Algorithm of Car Path Reconstruction from Airborne Traffic
Data | The airborne traffic monitoring system forms a novel technology of detecting
vehicle motion. An optical digital camera located on an airborne platform
produces a series of images which then are processed to recognized the fixed
vehicles. In this way the video data are converted into the time sequence of
frames containing the vehicle coordinates. In the present work a three-frame
algorithm is developed to identify the succeeding vehicle positions. It is
based on finding the neighboring points in the frame sequence characterized by
minimal acceleration. To verify and optimize the developed algorithm a
``Virtual Road'' simulator was created. Finally available empirical data are
analyzed using the created algorithm.
| physics.ins-det physics.data-an | the airborne traffic monitoring system forms a novel technology of detecting vehicle motion an optical digital camera located on an airborne platform produces a series of images which then are processed to recognized the fixed vehicles in this way the video data are converted into the time sequence of frames containing the vehicle coordinates in the present work a threeframe algorithm is developed to identify the succeeding vehicle positions it is based on finding the neighboring points in the frame sequence characterized by minimal acceleration to verify and optimize the developed algorithm a virtual road simulator was created finally available empirical data are analyzed using the created algorithm | [['the', 'airborne', 'traffic', 'monitoring', 'system', 'forms', 'a', 'novel', 'technology', 'of', 'detecting', 'vehicle', 'motion', 'an', 'optical', 'digital', 'camera', 'located', 'on', 'an', 'airborne', 'platform', 'produces', 'a', 'series', 'of', 'images', 'which', 'then', 'are', 'processed', 'to', 'recognized', 'the', 'fixed', 'vehicles', 'in', 'this', 'way', 'the', 'video', 'data', 'are', 'converted', 'into', 'the', 'time', 'sequence', 'of', 'frames', 'containing', 'the', 'vehicle', 'coordinates', 'in', 'the', 'present', 'work', 'a', 'threeframe', 'algorithm', 'is', 'developed', 'to', 'identify', 'the', 'succeeding', 'vehicle', 'positions', 'it', 'is', 'based', 'on', 'finding', 'the', 'neighboring', 'points', 'in', 'the', 'frame', 'sequence', 'characterized', 'by', 'minimal', 'acceleration', 'to', 'verify', 'and', 'optimize', 'the', 'developed', 'algorithm', 'a', 'virtual', 'road', 'simulator', 'was', 'created', 'finally', 'available', 'empirical', 'data', 'are', 'analyzed', 'using', 'the', 'created', 'algorithm']] | [-0.16180330906585555, 0.05194851108549259, -0.10303877075757639, 0.0030183262533342867, -0.048104674381282284, -0.13677060707672456, 0.030800068661762037, 0.4371056069498098, -0.26592502719940286, -0.3515118350683947, 0.10011518230796661, -0.26669156245417264, -0.11906590476788789, 0.22703212287242167, -0.10825358363190474, 0.0678425064565022, 0.10289895385079452, 0.06176684697367529, 0.027350976632333525, -0.2416089621381225, 0.2387956090959085, 0.04106459256139732, 0.3274589041422043, -0.04067923888677261, 0.155540370480288, 0.0032695206796106335, -0.08306068865251597, -0.005229376709071276, -0.0644230519021017, 0.16219977464387628, 0.2627831842537064, 0.18975390179657212, 0.2685773854761898, -0.45182115205119705, -0.1898542734420049, 0.07882706608153253, 0.11993339899698899, 0.06984724553419434, -0.09124631262340835, -0.3815954782103545, 0.08500874016399139, -0.14015199596423517, -0.11636823381375626, -0.03175705807092034, 0.007519306415892163, 0.035911383918947846, -0.2500381146635965, -0.049931746476686724, -0.043185328157340115, 0.09029649539685278, -0.0894784505618301, -0.023824406532074596, -0.005683195455191291, 0.2140797404006611, -0.007978945030508755, 0.0528351557919773, 0.14420458163509023, -0.07976800798891094, -0.09953519526137927, 0.419410904727998, -0.020320065814031237, -0.15632609816955698, 0.13816404549152564, -0.038235249306797704, -0.08192359287483252, 0.15359549778165452, 0.2307769307936324, 0.12424212510079563, -0.23122085113008725, -0.019247712964022307, -0.03059988380105139, 0.15495039630141633, 0.05981968073000279, -0.037985049601574644, 0.20203393777814982, 0.2161126486504468, 0.07177210623990292, 0.15877808674856603, -0.1766338001439053, -0.07240397931363816, -0.26175121232762794, -0.15299608205036025, -0.23856993707192836, -0.04968653527245134, -0.025385993698075475, -0.12761557499103457, 0.37654428027361353, 0.16999592803523084, 0.1745204831686776, 0.02236240176227222, 0.3797906222535628, 0.07651407835639526, 0.06850428632504055, 0.11609670737427528, 0.171116492298658, -0.008901664314826375, 0.14635874189123094, -0.17431673761370164, 0.0619076069087556, 0.10182510877994246] |
709.4346 | Flux Distribution in Superconducting Films with Holes | Flux penetration into type-II superconducing films is simulated for
transverse applied magnetic field and flux creep dynamics. The films contain
macroscopic, non-conducting holes and we suggest a new method to introduce the
holes in the simulation formalism. The method implies reconstruction of the
magnetic field change inside the hole. We find that in the region between the
hole and the edge the current density is compressed so that the flux density is
slightly reduced, but the traffic of flux is significantly increased. The
results are in good agreement with magneto-optical studies of flux
distributions in YBCO films.
| cond-mat.supr-con | flux penetration into typeii superconducing films is simulated for transverse applied magnetic field and flux creep dynamics the films contain macroscopic nonconducting holes and we suggest a new method to introduce the holes in the simulation formalism the method implies reconstruction of the magnetic field change inside the hole we find that in the region between the hole and the edge the current density is compressed so that the flux density is slightly reduced but the traffic of flux is significantly increased the results are in good agreement with magnetooptical studies of flux distributions in ybco films | [['flux', 'penetration', 'into', 'typeii', 'superconducing', 'films', 'is', 'simulated', 'for', 'transverse', 'applied', 'magnetic', 'field', 'and', 'flux', 'creep', 'dynamics', 'the', 'films', 'contain', 'macroscopic', 'nonconducting', 'holes', 'and', 'we', 'suggest', 'a', 'new', 'method', 'to', 'introduce', 'the', 'holes', 'in', 'the', 'simulation', 'formalism', 'the', 'method', 'implies', 'reconstruction', 'of', 'the', 'magnetic', 'field', 'change', 'inside', 'the', 'hole', 'we', 'find', 'that', 'in', 'the', 'region', 'between', 'the', 'hole', 'and', 'the', 'edge', 'the', 'current', 'density', 'is', 'compressed', 'so', 'that', 'the', 'flux', 'density', 'is', 'slightly', 'reduced', 'but', 'the', 'traffic', 'of', 'flux', 'is', 'significantly', 'increased', 'the', 'results', 'are', 'in', 'good', 'agreement', 'with', 'magnetooptical', 'studies', 'of', 'flux', 'distributions', 'in', 'ybco', 'films']] | [-0.136052773418097, 0.17284491577080077, -0.051028800945844235, 0.06036944412290282, 0.00316364471752619, -0.07489275719644022, 0.03333198620947366, 0.39980175138748797, -0.19604599093730302, -0.3436467432100134, 0.030066289209290265, -0.2889189685493247, -0.06656285664594742, 0.2246934243996349, -0.039822938722695135, 0.02339909192097863, 0.009234979623909463, -0.025005221117249468, -0.08382134796744309, -0.17842247947503226, 0.2907552051252311, 0.05246404898784978, 0.3889305696813102, 0.07261634107256673, 0.026868564524380585, -0.0443059958027887, 0.04400946861421017, 0.11062400267680281, -0.1491577431288627, 0.06280737031568034, 0.1796202110942722, 0.011254163391734521, 0.16517211594282813, -0.49757093193067103, -0.25891393332828566, 0.029011308791634348, 0.15193208308468006, 0.11999425740154057, -0.08802960756398046, -0.23344623577809825, 0.06607032758987884, -0.12015896784045647, -0.1059493882432772, -0.04224405125906864, 0.0012207816657370206, 0.02378510449504115, -0.27298189347283436, 0.14551267302931123, 0.029595703090608272, 0.015431784343012829, -0.12541701314615605, -0.0843468397956572, -0.08450165735173625, 0.038556531119669224, 0.10209804118284475, 0.09787192628670906, 0.21420385176315904, -0.1569007300992602, -0.053809080133694655, 0.2896886062760329, -0.04635306757865185, -0.13641111802348158, 0.11615205025924466, -0.24699619149347557, -0.07311249913956211, 0.2119580578711844, 0.13242949019234204, 0.11502040287998226, -0.11483063448950187, 0.05550973419611314, -0.03872542247925069, 0.18329636045952433, 0.02023988557480199, 0.009072691086273444, 0.2782119621274292, 0.20692982328767628, 0.04400838914413735, 0.15969109738704068, -0.1838147987049918, -0.04663425078855578, -0.25053477292573173, -0.1725531686814853, -0.18502742322833882, 0.03235438903889705, -0.08919548138735466, -0.19218957520176455, 0.3756329368454279, 0.18456750086835133, 0.18253251593367956, -0.020229613518860844, 0.27490671542054584, 0.1210173108643785, 0.07642316833599326, 0.10518747194641337, 0.29998229764709156, 0.16755825929228485, 0.16333672728391901, -0.2624806754732716, 0.03661124568346158, 0.016173632520241375] |
709.4347 | Boundedness from H^1 to L^1 of Riesz transforms on a Lie group of
exponential growth | Let $G$ be the Lie group given by the semidirect product of $R^2$ and $R^+$
endowed with the Riemannian symmetric space structure. Let $X_0, X_1, X_2$ be a
distinguished basis of left-invariant vector fields of the Lie algebra of $G$
and define the Laplacian $\Delta=-(X_0^2+X_1^2+X_2^2)$. In this paper we
consider the first order Riesz transforms $R_i=X_i\Delta^{-1/2}$ and
$S_i=\Delta^{-1/2}X_i$, for $i=0,1,2$. We prove that the operators $R_i$, but
not the $S_i$, are bounded from the Hardy space $H^1$ to $L^1$. We also show
that the second order Riesz transforms $T_{ij}=X_i\Delta^{-1}X_j$ are bounded
from $H^1$ to $L^1$, while the Riesz transforms $S_{ij}=\Delta^{-1}X_iX_j$ and
$R_{ij}=X_iX_j\Delta^{-1}$ are not.
| math.CA | let g be the lie group given by the semidirect product of r2 and r endowed with the riemannian symmetric space structure let x_0 x_1 x_2 be a distinguished basis of leftinvariant vector fields of the lie algebra of g and define the laplacian deltax_02x_12x_22 in this paper we consider the first order riesz transforms r_ix_idelta12 and s_idelta12x_i for i012 we prove that the operators r_i but not the s_i are bounded from the hardy space h1 to l1 we also show that the second order riesz transforms t_ijx_idelta1x_j are bounded from h1 to l1 while the riesz transforms s_ijdelta1x_ix_j and r_ijx_ix_jdelta1 are not | [['let', 'g', 'be', 'the', 'lie', 'group', 'given', 'by', 'the', 'semidirect', 'product', 'of', 'r2', 'and', 'r', 'endowed', 'with', 'the', 'riemannian', 'symmetric', 'space', 'structure', 'let', 'x_0', 'x_1', 'x_2', 'be', 'a', 'distinguished', 'basis', 'of', 'leftinvariant', 'vector', 'fields', 'of', 'the', 'lie', 'algebra', 'of', 'g', 'and', 'define', 'the', 'laplacian', 'deltax_02x_12x_22', 'in', 'this', 'paper', 'we', 'consider', 'the', 'first', 'order', 'riesz', 'transforms', 'r_ix_idelta12', 'and', 's_idelta12x_i', 'for', 'i012', 'we', 'prove', 'that', 'the', 'operators', 'r_i', 'but', 'not', 'the', 's_i', 'are', 'bounded', 'from', 'the', 'hardy', 'space', 'h1', 'to', 'l1', 'we', 'also', 'show', 'that', 'the', 'second', 'order', 'riesz', 'transforms', 't_ijx_idelta1x_j', 'are', 'bounded', 'from', 'h1', 'to', 'l1', 'while', 'the', 'riesz', 'transforms', 's_ijdelta1x_ix_j', 'and', 'r_ijx_ix_jdelta1', 'are', 'not']] | [-0.1610875861904565, 0.14211655681838795, -0.05568318495678962, 0.018277751123865267, -0.14147065217578214, -0.07884290542130415, -0.06440405994154778, 0.4006174195994984, -0.3639266052644472, -0.1463447626661129, 0.14225598052975588, -0.30191756904657396, -0.0946605559438467, 0.1304274861444244, -0.07441785847007924, -0.02757248641656978, 0.01911689053118533, 0.16344439509628836, -0.1512110301397969, -0.24672868872555542, 0.41815356826599764, -0.0885408748967611, 0.145749187410562, -0.02424214057130169, 0.10692003742810718, -0.02614237739923125, -6.339260928180753e-06, -0.0447787217070035, -0.17671370492581093, 0.13736042277697397, 0.26594609667414, 0.08026269984631133, 0.28781595084179495, -0.4076810365789855, -0.12666568753062463, 0.2600191318933681, 0.1587830244763089, -0.12363837003869442, -0.011052172205753016, -0.3618838299322417, 0.12336562924343636, -0.12596101762384784, -0.10170595266628174, -0.09744902841784821, 0.06140709074917344, 0.05496196085717814, -0.34273826928479045, 0.0603013859360303, 0.11866065474792517, 0.03597875008281149, -0.10742925306810636, -0.16468559059181384, -0.09053343285483365, 0.05426042193394839, -0.02452462973971186, 0.13889453208967284, 0.0601035855206832, 0.030801778984712248, -0.09052718037321252, 0.40131546165414, -0.07550603587760077, -0.2845017413741776, 0.03648798518376995, -0.26898655717318154, -0.1146489046371485, 0.017427714142416204, 0.13194039679721606, 0.15934432088872608, -0.04695874610850445, 0.21687970957386174, -0.08024824672967804, 0.07902927452826644, 0.07069706079093929, 0.03677117228698062, 0.0793089621358228, 0.042320633482910236, 0.1560401158616403, 0.11520609357726894, 0.015484129658535512, -0.0007020089851350201, -0.418188172354534, -0.16495006882148433, -0.21235736236166286, 0.10963515294460362, -0.14403081536518733, -0.13405439147383583, 0.3325191669033042, 0.06744832524611634, 0.19943964233911804, 0.12182475840292718, 0.16659168783408693, 0.10896016623140597, 0.0607836551736204, 0.12202781527208126, 0.10809804859799238, 0.2211453872091346, -0.009716482840155308, -0.13130369555111263, -0.06148913691333514, 0.19227122121142481] |
709.4348 | The Hall algebra of a cyclic quiver at $q=0$ | We show that the generic Hall algebra of nilpotent representations of an
oriented cycle specialised at $q=0$ is isomorphic to the generic extension
monoid in the sense of Reineke. This continues the work of Reineke.
| math.RT math.RA | we show that the generic hall algebra of nilpotent representations of an oriented cycle specialised at q0 is isomorphic to the generic extension monoid in the sense of reineke this continues the work of reineke | [['we', 'show', 'that', 'the', 'generic', 'hall', 'algebra', 'of', 'nilpotent', 'representations', 'of', 'an', 'oriented', 'cycle', 'specialised', 'at', 'q0', 'is', 'isomorphic', 'to', 'the', 'generic', 'extension', 'monoid', 'in', 'the', 'sense', 'of', 'reineke', 'this', 'continues', 'the', 'work', 'of', 'reineke']] | [-0.17486342000109809, 0.10581258239066561, -0.06492668998294643, -0.007976390639253492, -0.11099253946116992, -0.08224387647850173, -0.07971249861376627, 0.3289916721837861, -0.37877965355291965, -0.1451865378767252, 0.08565596645099244, -0.23310297195400512, -0.19329878709145953, 0.16643369269690345, -0.19698435131327383, -0.08389569324042116, 0.058613305326019015, 0.12674642048243964, -0.09694608541072479, -0.28769054476703915, 0.38901736118963787, 0.02089677367891584, 0.26569542437791827, 0.013518078159540892, 0.08838837612420321, 0.03185389294688191, -0.009911150831196988, -0.03334879297763109, -0.16305050982399344, 0.12766246612050702, 0.3039419443479606, 0.0326648253282266, 0.16745262539479883, -0.3612851519137621, -0.05204787970786648, 0.16577991428119795, 0.17513707764446734, 0.057022975305361406, -0.016756852556552206, -0.22464541755616665, 0.13064312131277153, -0.26243730658399206, -0.1690100185839193, -0.03893485288800938, 0.08752029878752572, -0.097755359432527, -0.22169889830318945, -0.022414618251579147, 0.18421479649841785, 0.14827569065881627, -0.08503014444307025, -0.07391364021501172, -0.0715786694549024, 0.0657855285597699, -0.026594868415434444, 0.09361431497548307, 0.09711274737492204, -0.12742878602418517, -0.20927937648458672, 0.347081639191934, -0.03208770988775151, -0.1683890184653657, 0.14714288567858083, -0.20085549963904278, -0.23124311012881144, 0.10537348959062781, 0.036124754484210694, 0.1439882434372391, -0.0096050685670759, 0.20610379898654563, -0.17898913164223942, 0.025568343961744438, 0.06844629512301513, -0.06980972379179938, 0.1676998215594462, 0.1280023656785488, 0.05393220391124487, 0.1520496481497373, 0.08428589744227273, 0.026728223051343647, -0.350129615329206, -0.23772583587893417, -0.13364220038056374, 0.12116666241948093, -0.06052895047302757, -0.14647331728733012, 0.43982953099267824, 0.1902332975129996, 0.1362926987132856, 0.12244335734950644, 0.208690197127206, 0.0983313680759498, 0.09881115417727934, 0.08130268368071743, 0.14333457411932093, 0.21530075147747993, 0.02935452594288758, -0.18419113231024573, -0.020607236267200537, 0.1988393535837531] |
709.4349 | Bose-Einstein condensate in a harmonic trap with an eccentric dimple
potential | We investigate Bose-Einstein condensation of noninteracting gases in a
harmonic trap with an off-center dimple potential. We specifically consider the
case of a tight and deep dimple potential which is modelled by a point
interaction. This point interaction is represented by a Dirac delta function.
The atomic density, chemical potential, critical temperature and condensate
fraction, the role of the relative depth and the position of the dimple
potential are analyzed by performing numerical calculations.
| quant-ph cond-mat.other | we investigate boseeinstein condensation of noninteracting gases in a harmonic trap with an offcenter dimple potential we specifically consider the case of a tight and deep dimple potential which is modelled by a point interaction this point interaction is represented by a dirac delta function the atomic density chemical potential critical temperature and condensate fraction the role of the relative depth and the position of the dimple potential are analyzed by performing numerical calculations | [['we', 'investigate', 'boseeinstein', 'condensation', 'of', 'noninteracting', 'gases', 'in', 'a', 'harmonic', 'trap', 'with', 'an', 'offcenter', 'dimple', 'potential', 'we', 'specifically', 'consider', 'the', 'case', 'of', 'a', 'tight', 'and', 'deep', 'dimple', 'potential', 'which', 'is', 'modelled', 'by', 'a', 'point', 'interaction', 'this', 'point', 'interaction', 'is', 'represented', 'by', 'a', 'dirac', 'delta', 'function', 'the', 'atomic', 'density', 'chemical', 'potential', 'critical', 'temperature', 'and', 'condensate', 'fraction', 'the', 'role', 'of', 'the', 'relative', 'depth', 'and', 'the', 'position', 'of', 'the', 'dimple', 'potential', 'are', 'analyzed', 'by', 'performing', 'numerical', 'calculations']] | [-0.15454273417944442, 0.15735045706753373, -0.0495867953459556, 0.025670740006151736, 0.06494794855196331, -0.15230180834092805, 0.07499475887901075, 0.3866794306684185, -0.2342507149269049, -0.2518083577774264, -0.007168608876511555, -0.3026578922982554, -0.13660065035927235, 0.09900219083096631, 0.06026759434717934, 0.04757263165319691, 0.01620067611361879, 0.02030061454688375, -0.05185290492718687, -0.1996182269586653, 0.36473856924252734, 0.08521560684902077, 0.19929816387593746, 0.12216787307044945, 0.029491639173765842, 0.03529306075762253, 0.050454109259000096, 0.026509507565532584, -0.15943142274595998, 0.07856191370032124, 0.14920530988161476, -0.012200007913634181, 0.28197892269472014, -0.4232977414251985, -0.25356242419346364, 0.1221299163015509, 0.1592769271983589, 0.14662372892741365, -0.14071932496704362, -0.2817783362477565, -0.06678262306062656, -0.16860349797266158, -0.2434585439985165, -0.07025717288205349, 0.0563052169273834, 0.10006279412128434, -0.2683915245548092, 0.09294162367193683, 0.04112585700430508, 0.08555972828076305, -0.10844988873813653, -0.09078822738012753, -0.04138253203819733, 0.05185789813765803, -0.06314879406803615, 0.10064228008362792, 0.18887129198835306, -0.18088483053725213, 0.0012283747861589734, 0.42218804882990346, -0.1279075240741509, -0.17094005654389793, 0.16699691608271286, -0.1309764969250741, -0.004376533598563558, 0.09744348865304445, 0.15540452758275047, 0.06988464238600352, -0.15770364374023033, 0.10067031113194881, -0.02652132396139456, 0.13868987930992088, 0.09750963020692202, -0.04484250557583731, 0.307961981095424, 0.21366195923120185, 0.028432989807648433, 0.17227050712382472, -0.1342648260383489, -0.12108633531622488, -0.27441049170227266, -0.14249875611071852, -0.22275028715061174, 0.005767919293076203, -0.08152866121825944, -0.1623934413419684, 0.37367630313226097, 0.09656625267470607, 0.24560805792114823, -0.023035042678521998, 0.2916770286203639, 0.18974673068245268, 0.027602654919531698, 0.011299476650467998, 0.2573574259877205, 0.13076478868370522, 0.059506378953055654, -0.26277840789250173, -0.029649111983441823, 0.06633283773978316] |
709.435 | Which 3-manifold groups are K\"ahler groups? | The question in the title, first raised by Goldman and Donaldson, was
partially answered by Reznikov. We give a complete answer, as follows: if G can
be realized as both the fundamental group of a closed 3-manifold and of a
compact K\"ahler manifold, then G must be finite, and thus belongs to the
well-known list of finite subgroups of O(4).
| math.AG math.GT | the question in the title first raised by goldman and donaldson was partially answered by reznikov we give a complete answer as follows if g can be realized as both the fundamental group of a closed 3manifold and of a compact kahler manifold then g must be finite and thus belongs to the wellknown list of finite subgroups of o4 | [['the', 'question', 'in', 'the', 'title', 'first', 'raised', 'by', 'goldman', 'and', 'donaldson', 'was', 'partially', 'answered', 'by', 'reznikov', 'we', 'give', 'a', 'complete', 'answer', 'as', 'follows', 'if', 'g', 'can', 'be', 'realized', 'as', 'both', 'the', 'fundamental', 'group', 'of', 'a', 'closed', '3manifold', 'and', 'of', 'a', 'compact', 'kahler', 'manifold', 'then', 'g', 'must', 'be', 'finite', 'and', 'thus', 'belongs', 'to', 'the', 'wellknown', 'list', 'of', 'finite', 'subgroups', 'of', 'o4']] | [-0.13825173342290023, 0.13295327608163157, -0.09257442779683818, 0.07233262124937027, -0.1593415530708929, -0.16211196177173406, 0.04802536318505493, 0.3323997334887584, -0.2881616017470757, -0.29704253165982664, 0.1279642144974787, -0.22117027764519057, -0.12235337096111228, 0.1812496103423958, -0.17647804470422368, -0.026789731854417673, 0.043081475499396525, 0.11323815882205963, -0.055636535740147035, -0.324737469976147, 0.4207279376685619, -0.02303166127918909, 0.16123741315677761, 0.12649553377802172, 0.10164771070703864, -0.036999730548510947, -0.00408164095133543, 0.07802719683386386, -0.11664129590305189, 0.05828523512852068, 0.3162083391410609, 0.10746979225174678, 0.22324763735135397, -0.35324141855041186, -0.20675259885611014, 0.13888132525607944, 0.13170382167057446, 0.015352755350371202, -0.03899259260700395, -0.3128745616724094, 0.15069489639718087, -0.13128700249362737, -0.17191472654618944, -0.06486111079187443, 0.09090550896556428, -0.05733994859425972, -0.1766978284654518, -0.01797130376410981, 0.13872392267609637, 0.0613155923007677, -0.030100990913342684, -0.07773992953977236, -0.060592471171791354, 0.15490507639478893, -0.013737195702454604, 0.12779536821569007, 0.03749640222328405, -0.02732884678989649, -0.14482404108469685, 0.45007913236816727, -0.13131466805934905, -0.20027333041653037, 0.07595213048625737, -0.13789461255364585, -0.15952961157696943, 0.0986702171775202, 0.08802491207607091, 0.15347672129670778, -0.10415165183755258, 0.20972280510759447, -0.16459205116455752, 0.06794809255128105, 0.08936017782737811, -0.09926674865807096, 0.16784825855866076, 0.11435160127584823, 0.06747920089401305, 0.13889089483224476, 0.08021626053377987, 0.06263515341949338, -0.32759010602991717, -0.21529678497463464, -0.16603275856468827, 0.18868029781539614, -0.03562980313557394, -0.14323486536741256, 0.38866004155327877, -0.014285157442403336, 0.18939231938372056, 0.03791810922945539, 0.17034682502732418, 0.054222141741774976, 0.0071672044422787925, 0.11016179068634907, 0.10623852654049794, 0.21764499496202916, -0.05678107462202509, -0.14856867041283597, -0.00772662260569632, 0.17936787873040885] |
709.4351 | Dissociation energy of the water dimer from Quantum Monte Carlo
calculations | We report a study of the electronic dissociation energy of the water dimer
using quantum Monte Carlo (QMC) techniques. We have performed variational
quantum Monte Carlo (VMC) and diffusion quantum Monte Carlo (DMC) calculations
of the electronic ground state of the water monomer and dimer using
all-electron and pseudopotential approaches. We have used Slater-Jastrow trial
wave functions with B3LYP-like single-particle orbitals, into which we have
incorporated backflow correlations. When backflow correlations are introduced,
the total energy of the water monomer decreases by about 4-5 mHa, yielding a
DMC energy of -76.42830(5) Ha, which is only 10 mHa above the experimental
value. In our pseudopotential DMC calculations, we have compared the total
energies of the water monomer and dimer obtained using the locality
approximation with those from the variational scheme recently proposed by
Casula [Phys. Rev. B 74, 161102(R) (2006)]. The time step errors in the Casula
scheme are larger and the extrapolation of the energy to zero time step always
lies above the result obtained with the locality approximation. However, the
errors cancel when energy differences are taken, yielding electronic
dissociation energies within error bars of each other. The dissociation
energies obtained in our various all-electron and pseudopotential calculations
range between 5.03(7) and 5.47(9) kcal/mol and are in good agreement with
experiment. Our calculations give monomer dipole moments which range between
1.897(2) and 1.909(4) Debye and dimer dipole moments which range between
2.628(6) and 2.672(5) Debye.
| cond-mat.other | we report a study of the electronic dissociation energy of the water dimer using quantum monte carlo qmc techniques we have performed variational quantum monte carlo vmc and diffusion quantum monte carlo dmc calculations of the electronic ground state of the water monomer and dimer using allelectron and pseudopotential approaches we have used slaterjastrow trial wave functions with b3lyplike singleparticle orbitals into which we have incorporated backflow correlations when backflow correlations are introduced the total energy of the water monomer decreases by about 45 mha yielding a dmc energy of 76428305 ha which is only 10 mha above the experimental value in our pseudopotential dmc calculations we have compared the total energies of the water monomer and dimer obtained using the locality approximation with those from the variational scheme recently proposed by casula phys rev b 74 161102r 2006 the time step errors in the casula scheme are larger and the extrapolation of the energy to zero time step always lies above the result obtained with the locality approximation however the errors cancel when energy differences are taken yielding electronic dissociation energies within error bars of each other the dissociation energies obtained in our various allelectron and pseudopotential calculations range between 5037 and 5479 kcalmol and are in good agreement with experiment our calculations give monomer dipole moments which range between 18972 and 19094 debye and dimer dipole moments which range between 26286 and 26725 debye | [['we', 'report', 'a', 'study', 'of', 'the', 'electronic', 'dissociation', 'energy', 'of', 'the', 'water', 'dimer', 'using', 'quantum', 'monte', 'carlo', 'qmc', 'techniques', 'we', 'have', 'performed', 'variational', 'quantum', 'monte', 'carlo', 'vmc', 'and', 'diffusion', 'quantum', 'monte', 'carlo', 'dmc', 'calculations', 'of', 'the', 'electronic', 'ground', 'state', 'of', 'the', 'water', 'monomer', 'and', 'dimer', 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0.07717896695657257] |
709.4352 | Uniqueness of spacelike hypersurfaces with constant higher order mean
curvature in generalized Robertson-Walker spacetimes | In this paper we study the problem of uniqueness for spacelike hypersurfaces
with constant higher order mean curvature in generalized Robertson-Walker (GRW)
spacetimes. In particular, we consider the following question: Under what
conditions must a compact spacelike hypersurface with constant higher order
mean curvature in a spatially closed GRW spacetime be a spacelike slice? We
prove that this happens, esentially, under the so called convergence condition.
Our approach is based on the use of the Newton transformations (and their
associated differential operators) and the Minkowski formulae for spacelike
hypersurfaces.
| math.DG math-ph math.MP | in this paper we study the problem of uniqueness for spacelike hypersurfaces with constant higher order mean curvature in generalized robertsonwalker grw spacetimes in particular we consider the following question under what conditions must a compact spacelike hypersurface with constant higher order mean curvature in a spatially closed grw spacetime be a spacelike slice we prove that this happens esentially under the so called convergence condition our approach is based on the use of the newton transformations and their associated differential operators and the minkowski formulae for spacelike hypersurfaces | [['in', 'this', 'paper', 'we', 'study', 'the', 'problem', 'of', 'uniqueness', 'for', 'spacelike', 'hypersurfaces', 'with', 'constant', 'higher', 'order', 'mean', 'curvature', 'in', 'generalized', 'robertsonwalker', 'grw', 'spacetimes', 'in', 'particular', 'we', 'consider', 'the', 'following', 'question', 'under', 'what', 'conditions', 'must', 'a', 'compact', 'spacelike', 'hypersurface', 'with', 'constant', 'higher', 'order', 'mean', 'curvature', 'in', 'a', 'spatially', 'closed', 'grw', 'spacetime', 'be', 'a', 'spacelike', 'slice', 'we', 'prove', 'that', 'this', 'happens', 'esentially', 'under', 'the', 'so', 'called', 'convergence', 'condition', 'our', 'approach', 'is', 'based', 'on', 'the', 'use', 'of', 'the', 'newton', 'transformations', 'and', 'their', 'associated', 'differential', 'operators', 'and', 'the', 'minkowski', 'formulae', 'for', 'spacelike', 'hypersurfaces']] | [-0.17781644501838456, 0.10829819994365464, -0.10560267146551207, 0.12592163094805994, -0.10012129153219167, -0.13757926062942388, -0.05841348178846908, 0.36101938417872015, -0.19700633533550113, -0.1629227680687824, 0.11425447527298264, -0.23270057188870197, -0.15385338863922973, 0.12264497580236933, -0.14583496589297323, 0.054989223713787755, 0.024101855714669388, 0.11508918702183815, -0.12704035602353012, -0.27414311290969756, 0.4719895407390059, -0.001887600807462599, 0.257759663684482, 0.07808039347991724, 0.1640876368985752, -0.008087150815330195, 0.027482344219565726, 0.0788895526921816, -0.2385367147649509, 0.10434260279636076, 0.19321927458592011, 0.1182494453635862, 0.26526199261856714, -0.4275480567613679, -0.21307473518791492, 0.17198921753658672, 0.1297702874590674, 0.09017676218632567, -0.014234672927067437, -0.29539593934929104, 0.0720556679409353, -0.08069096212641577, -0.2189929366237327, -0.05106318776569005, -0.03893764492835891, -0.05354786578701872, -0.20476624299379673, 0.13467565313337393, 0.09215998063596446, 0.06353689863063981, -0.12445680251386895, -0.006217042120236359, 0.008763077933069192, 0.024854039344308753, 0.07498390235012041, 0.056365670141858164, 0.051050835629150776, -0.06786452557661393, -0.0899133237047393, 0.3743224795489164, -0.12443327262547663, -0.33543363956504324, 0.048931813024486716, -0.1987996543705296, -0.13299267879279142, 0.07425385802523808, 0.1762238837166407, 0.2315920524382859, -0.13265991454755657, 0.1544981259339897, -0.02452666736260224, 0.04875555147908712, 0.1506691582375363, 0.010250316035483828, 0.15304050937797245, 0.050941778448923086, 0.10980176897405573, 0.12301390092647269, -0.017450319576270752, -0.11836917549463281, -0.4250705541854494, -0.2354611093413838, -0.10326693592373323, 0.13531857246553966, -0.17836938839205646, -0.19686814513727185, 0.33965375733802494, 0.07792813725392805, 0.17210409380076977, 0.1331890407070685, 0.24614448772136416, 0.07267456242600141, 0.012855754853906423, 0.15916365759154216, 0.20856936504080725, 0.14934105547066526, 0.11186769081647847, -0.13954396273292016, -0.017498791076535923, 0.13199164672346597] |
709.4353 | Bayesian Nash Equilibria and Bell Inequalities | Games with incomplete information are formulated in a multi-sector
probability matrix formalism that can cope with quantum as well as classical
strategies. An analysis of classical and quantum strategy in a multi-sector
extension of the game of Battle of Sexes clarifies the two distinct roles of
nonlocal strategies, and establish the direct link between the true quantum
gain of game's payoff and the breaking of Bell inequalities.
| quant-ph | games with incomplete information are formulated in a multisector probability matrix formalism that can cope with quantum as well as classical strategies an analysis of classical and quantum strategy in a multisector extension of the game of battle of sexes clarifies the two distinct roles of nonlocal strategies and establish the direct link between the true quantum gain of games payoff and the breaking of bell inequalities | [['games', 'with', 'incomplete', 'information', 'are', 'formulated', 'in', 'a', 'multisector', 'probability', 'matrix', 'formalism', 'that', 'can', 'cope', 'with', 'quantum', 'as', 'well', 'as', 'classical', 'strategies', 'an', 'analysis', 'of', 'classical', 'and', 'quantum', 'strategy', 'in', 'a', 'multisector', 'extension', 'of', 'the', 'game', 'of', 'battle', 'of', 'sexes', 'clarifies', 'the', 'two', 'distinct', 'roles', 'of', 'nonlocal', 'strategies', 'and', 'establish', 'the', 'direct', 'link', 'between', 'the', 'true', 'quantum', 'gain', 'of', 'games', 'payoff', 'and', 'the', 'breaking', 'of', 'bell', 'inequalities']] | [-0.11138015405844841, 0.0986058334144503, -0.1214428463978554, 0.13005993069052252, -0.01324371627789102, -0.22253346190885154, 0.0849836374626064, 0.32660697700817193, -0.27187799946211694, -0.3004778103847335, 0.07087647267130774, -0.23741252853799222, -0.21787969471970156, 0.11356536463709242, -0.11634810446455741, 0.04501118431729612, 0.022633161924000996, 0.03920416921766391, -0.03093745735640735, -0.2362140418211026, 0.33578054929402334, 0.00734413002527305, 0.23563310678408883, 0.05851024600552089, 0.11371865250003427, 0.0634650074348632, -0.05044690166502746, 0.0567984196232326, -0.12393337115352199, 0.09162942411503129, 0.3115060830405399, 0.19220654548270932, 0.3475136827510684, -0.44086491860060106, -0.17262040943935958, 0.131397221028916, 0.06475171825584414, 0.12224023864229223, -0.0017222266143827297, -0.326340603572664, 0.01787999746347986, -0.19559648731695628, -0.09574563218864487, -0.03308588326491638, -0.042798911596634494, 0.00016060201868192475, -0.305811721289447, 0.08181041352921721, 0.07075527442598355, 0.06615531150036172, 0.0001220711274072528, -0.10789638269803863, 0.011134947382553077, 0.17799968052127246, 0.006930143344772062, -0.052286156406278594, 0.0864474296434296, -0.17559275852599696, -0.309536807294657, 0.3612683752426572, -0.029730307671533368, -0.17102660116419863, 0.15021689198633184, -0.05552732600976449, -0.07431079885651316, 0.03190076449858164, 0.11749642052507, 0.09728045992330829, -0.11905107070316574, 0.0699536160803956, -0.0716760662704039, 0.15209154597024865, 0.06612733169980069, 0.14017006980755659, 0.17444975975789687, 0.1035358249696333, 0.1411819822057637, 0.12097507661708923, 0.013816503752300988, -0.28269169357285573, -0.2993118802585931, -0.20389338020447498, -0.1680911392696313, 0.049295719259474145, -0.12456045968092304, -0.13540055781408256, 0.3339506696020044, 0.06472442318414297, 0.11562877696758109, 0.062130838326776204, 0.2568948039604323, 0.08899597553605798, 0.006919505630633724, -0.01018673147477988, 0.2091831228793112, 0.19235219489505043, 0.11578563007234192, -0.23586516496516877, 0.10605313170027099, 0.049901790166301516] |
709.4354 | Two-proton correlation function: a gentle introduction | The recent COSY-11 collaboration measurement of the two-proton correlation
function in the pp -> ppeta reaction, reported at this meeting [1], arouse some
interest in a simple theoretical description of the correlation function. In
these notes we present a pedagogical introduction to the practical methods that
can be used for calculating the correlation function.
| hep-ph | the recent cosy11 collaboration measurement of the twoproton correlation function in the pp ppeta reaction reported at this meeting 1 arouse some interest in a simple theoretical description of the correlation function in these notes we present a pedagogical introduction to the practical methods that can be used for calculating the correlation function | [['the', 'recent', 'cosy11', 'collaboration', 'measurement', 'of', 'the', 'twoproton', 'correlation', 'function', 'in', 'the', 'pp', 'ppeta', 'reaction', 'reported', 'at', 'this', 'meeting', '1', 'arouse', 'some', 'interest', 'in', 'a', 'simple', 'theoretical', 'description', 'of', 'the', 'correlation', 'function', 'in', 'these', 'notes', 'we', 'present', 'a', 'pedagogical', 'introduction', 'to', 'the', 'practical', 'methods', 'that', 'can', 'be', 'used', 'for', 'calculating', 'the', 'correlation', 'function']] | [-0.059471824751147685, 0.07920568520730396, -0.14097623094391376, 0.11943961090171042, -0.01008207904491222, -0.08861672221067941, 0.008571664811516146, 0.3384609250307856, -0.20212807373653324, -0.28944655033355615, -0.00858723856113359, -0.3351398684295281, -0.13737054613752747, 0.16842017958889594, 0.009941208756194924, 0.10476568692697669, 0.06858630900113087, -0.007697701137864364, -0.12163462690769625, -0.22088472246420834, 0.27023789927995995, 0.13480817705814568, 0.26566426130890286, 0.16620763212020667, 0.041470527306269364, 0.0641122403783056, -0.08835063806190244, -0.025579288742452296, -0.18059700436273454, 0.12710985804046943, 0.3419467872711566, 0.14026253253994686, 0.25535637692038743, -0.38172211561281727, -0.14773109249489488, 0.09711268712889473, 0.12383037201076183, 0.10049128616755863, -0.1211943676308641, -0.2649860535748303, 0.0432198343201066, -0.22277207078658184, -0.0858008881925412, -0.03854702019466544, 0.049491584186776065, 0.04272032632791209, -0.26151735791585073, 0.055688523564417405, -4.3813033767466276e-05, 0.13004044294005856, -0.04184525282361615, -0.2079819878563285, 0.07522300183597319, 0.11391722930173548, 0.030773466206946463, 0.11896598931535955, 0.12223297920745779, -0.11042511670516347, -0.12124074666589534, 0.326177868816369, -0.03737432948085216, -0.1885892383683965, 0.1569125214734396, -0.17838078215366826, -0.2050412658312059, 0.09696756412257564, 0.2035712035337709, 0.08217483966277456, -0.21207328061002112, 0.01624068797056405, -0.0025211819263618825, 0.1275690775891801, 0.045847887621384184, 0.015883486236902482, 0.16155537249485277, 0.16724499231555834, -0.0424481771078031, 0.07936849082899192, -0.05367895901062578, -0.07750461176740674, -0.39257378623170675, -0.11759693415413769, -0.19978125530453222, 0.060020678659092705, -0.015572599601000547, -0.08244798900032381, 0.43765475910227253, 0.1442152606411222, 0.20899516217551142, 0.01820830998278908, 0.27918306128385495, 0.16061054409551873, 0.02760683203375248, -0.016812145661668113, 0.28855354837328634, 0.12411410801710104, 0.14620503398396498, -0.1750152304698274, 0.10094494302537432, 0.03639825435249873] |
709.4355 | Agent Simulation of Chain Bankruptcy | We have conducted an agent-based simulation of chain bankruptcy. The
propagation of credit risk on a network, i.e., chain bankruptcy, is the key to
nderstanding largesized bankruptcies. In our model, decrease of revenue by the
loss of accounts payable is modeled by an interaction term, and bankruptcy is
defined as a capital deficit. Model parameters were estimated using financial
data for 1,077 listed Japanese firms. Simulations of chain bankruptcy on the
real transaction network consisting of those 1,077 firms were made with the
estimated model parameters. Given an initial bankrupt firm, a list of chain
bankrupt firms was obtained. This model can be used to detect high-risk links
in a transaction network, for the management of chain bankruptcy.
| q-fin.GN physics.soc-ph | we have conducted an agentbased simulation of chain bankruptcy the propagation of credit risk on a network ie chain bankruptcy is the key to nderstanding largesized bankruptcies in our model decrease of revenue by the loss of accounts payable is modeled by an interaction term and bankruptcy is defined as a capital deficit model parameters were estimated using financial data for 1077 listed japanese firms simulations of chain bankruptcy on the real transaction network consisting of those 1077 firms were made with the estimated model parameters given an initial bankrupt firm a list of chain bankrupt firms was obtained this model can be used to detect highrisk links in a transaction network for the management of chain bankruptcy | [['we', 'have', 'conducted', 'an', 'agentbased', 'simulation', 'of', 'chain', 'bankruptcy', 'the', 'propagation', 'of', 'credit', 'risk', 'on', 'a', 'network', 'ie', 'chain', 'bankruptcy', 'is', 'the', 'key', 'to', 'nderstanding', 'largesized', 'bankruptcies', 'in', 'our', 'model', 'decrease', 'of', 'revenue', 'by', 'the', 'loss', 'of', 'accounts', 'payable', 'is', 'modeled', 'by', 'an', 'interaction', 'term', 'and', 'bankruptcy', 'is', 'defined', 'as', 'a', 'capital', 'deficit', 'model', 'parameters', 'were', 'estimated', 'using', 'financial', 'data', 'for', '1077', 'listed', 'japanese', 'firms', 'simulations', 'of', 'chain', 'bankruptcy', 'on', 'the', 'real', 'transaction', 'network', 'consisting', 'of', 'those', '1077', 'firms', 'were', 'made', 'with', 'the', 'estimated', 'model', 'parameters', 'given', 'an', 'initial', 'bankrupt', 'firm', 'a', 'list', 'of', 'chain', 'bankrupt', 'firms', 'was', 'obtained', 'this', 'model', 'can', 'be', 'used', 'to', 'detect', 'highrisk', 'links', 'in', 'a', 'transaction', 'network', 'for', 'the', 'management', 'of', 'chain', 'bankruptcy']] | [-0.12439425102197246, 0.04067673876373651, -0.01591617268565883, 0.10714440781057963, -0.04982160744615472, -0.14064953051921394, 0.11958417581378394, 0.4023698154741373, -0.2540715655041301, -0.31231993549845666, 0.1614349123237766, -0.35647784444129366, -0.07697337779463229, 0.12745950682263854, -0.09793472603166428, 0.046829395942413844, 0.08438832176307964, 0.023423273267590593, 0.11212114129279159, -0.3022021440645823, 0.26281660162788045, 0.11414190452609561, 0.274427684613018, 0.020002635299331613, 0.11368371415823603, 0.003319151150301481, -0.02427335391736502, -0.01606283631697138, -0.13984432483776513, 0.13323399527635202, 0.2589366479610634, 0.1613203975188936, 0.35475495362128967, -0.43290237103326196, -0.19464186444265658, 0.1510580231029636, 0.0488685982572472, 0.04204084562997405, 0.08483515896149871, -0.3130024785860481, 0.013274516774994185, -0.33025662082796675, -0.11561487359591784, -0.016045416243629068, -0.003038700924724595, 0.04760515928650514, -0.3117657439448895, 0.038606758205554426, -0.05103939676131958, 0.07719654622925524, -0.05688322785620888, -0.1269890072866956, -0.08568035523232041, 0.19459327509025764, 0.1140633467803749, -0.03006845560227322, 0.14889104320054763, -0.1060647082925002, -0.1889714368292664, 0.3502848249836228, -0.05317532349950992, -0.13722470103619763, 0.0844781416046441, -0.05016044976312118, -0.10105440953077796, 0.12390773020223038, 0.2172516938776542, -1.0735196117152516e-05, -0.22901947743808612, -0.0017464007534540426, -0.06738062121963656, 0.2040499474407516, 0.03622707184881736, -0.11860909695044541, 0.17518695340885854, 0.27024492199540645, 0.034276129866942256, 0.1675765348999347, -0.06331715656993672, -0.15659382726806095, -0.2369257263902925, -0.11778783458324833, -0.19016927268563044, 0.05787820690789093, -0.12124176187285035, -0.1775168194077336, 0.3529546923425972, 0.15301867379411827, 0.12254548040726103, 0.11219325410620047, 0.23305822670077667, 0.09589740822219059, 0.06442964799566847, 0.06302482145042437, 0.16108951579110745, -0.015363069283019783, 0.11119018889103945, -0.15144478927493796, 0.21781979145633423, -0.007197631949869295] |
709.4356 | City Space Syntax as a Complex Network | The encoding of cities into non-planar dual graphs reveals their complex
structure. We investigate the statistics of the typical space syntax measures
for the five different compact urban patterns. Universal statistical behavior
of space syntax measures uncovers the universality of the city creation
mechanism.
| physics.soc-ph physics.data-an | the encoding of cities into nonplanar dual graphs reveals their complex structure we investigate the statistics of the typical space syntax measures for the five different compact urban patterns universal statistical behavior of space syntax measures uncovers the universality of the city creation mechanism | [['the', 'encoding', 'of', 'cities', 'into', 'nonplanar', 'dual', 'graphs', 'reveals', 'their', 'complex', 'structure', 'we', 'investigate', 'the', 'statistics', 'of', 'the', 'typical', 'space', 'syntax', 'measures', 'for', 'the', 'five', 'different', 'compact', 'urban', 'patterns', 'universal', 'statistical', 'behavior', 'of', 'space', 'syntax', 'measures', 'uncovers', 'the', 'universality', 'of', 'the', 'city', 'creation', 'mechanism']] | [-0.16551043229727921, 0.1413759506434541, -0.12530104035183534, 0.20610792346468026, -0.10529429101469842, -0.06040115392798642, 0.06019951051778414, 0.3417907218364152, -0.26567696331238205, -0.2751710931347175, 0.0025547478792511606, -0.24937928455289116, -0.18830252972177483, 0.17790857846425337, -0.06995498748834837, 0.04206764249300415, 0.0023527295879003677, 0.01830210923005573, -0.06557770162312822, -0.163803309580544, 0.4014885572674261, -0.013615466484969313, 0.38343210238963366, 0.025490722703662785, 0.09440791659819131, -0.02630129441703585, -0.09817199378316714, 0.002675835848838853, -0.13245303589131005, 0.18315834270536221, 0.26478313574228773, 0.23306978366930375, 0.2099925814334049, -0.38944508304650133, -0.22628828383643518, 0.08963218236088076, 0.09444698871282692, 0.04279208068989895, 0.05019303982738744, -0.3552244410807775, 0.03831928490068425, -0.15044665404341437, -0.13466786986894227, -0.08616708669896153, 0.06138940085656941, -0.020670286321546882, -0.1285885057838062, 0.009707639650018378, 0.0921196626837958, 0.12861747682009908, -0.022605255034498194, -0.06339878714855084, -0.05729093501047993, 0.21729816897475923, -0.035057743418623104, -0.0625001635952768, 0.16396375575145197, -0.1350674525284293, -0.1850106674987315, 0.39858099132437597, 0.050393272323576224, -0.16703468586572193, 0.19315697758627887, -0.2054259406656704, -0.19517501974901694, 0.09802027508108453, 0.2150363946195946, 0.049897383051839744, -0.1538964165811194, 0.08353875952624631, -0.037014380838214, 0.1269336799159646, 0.07406859927472066, 0.09201388895003633, 0.1912862581666559, 0.24886689068410883, 0.04140146548690444, 0.2050376791528172, -0.0646314200924032, -0.1830173295562748, -0.2629644832658497, -0.14688956053842875, -0.11555005345408889, -0.014626084530556744, -0.2599902651484378, -0.25204404767348687, 0.476730009265752, 0.09872137039730494, 0.17284217112782327, 0.1018769684967331, 0.1936019231480631, 0.023632006037091327, 0.08310357277514413, 0.07343243570490317, 0.08151095953177322, 0.052473078058524567, 0.11542234921150586, -0.1984824821966785, 0.11053332756273448, 0.09855382834476503] |
709.4357 | Collective excitations of BEC under anharmonic trap position jittering | Collective excitations of a Bose-Einstein condensate under periodic
oscillations of a quadratic plus quartic trap position has been studied. A
coupled set of variational equations is derived for the width and the
condensate wave function center. Analytical expressions for the growth of
oscillation amplitudes in the resonance case are derived. It is shown that
jittering of an anharmonic trap position can cause double resonance of the BEC
width and the center of mass oscillation in the wide range of the BEC
parameters values. The predictions of variational approach are confirmed by
full numerical simulations of the 1D GP equation.
| cond-mat.other | collective excitations of a boseeinstein condensate under periodic oscillations of a quadratic plus quartic trap position has been studied a coupled set of variational equations is derived for the width and the condensate wave function center analytical expressions for the growth of oscillation amplitudes in the resonance case are derived it is shown that jittering of an anharmonic trap position can cause double resonance of the bec width and the center of mass oscillation in the wide range of the bec parameters values the predictions of variational approach are confirmed by full numerical simulations of the 1d gp equation | [['collective', 'excitations', 'of', 'a', 'boseeinstein', 'condensate', 'under', 'periodic', 'oscillations', 'of', 'a', 'quadratic', 'plus', 'quartic', 'trap', 'position', 'has', 'been', 'studied', 'a', 'coupled', 'set', 'of', 'variational', 'equations', 'is', 'derived', 'for', 'the', 'width', 'and', 'the', 'condensate', 'wave', 'function', 'center', 'analytical', 'expressions', 'for', 'the', 'growth', 'of', 'oscillation', 'amplitudes', 'in', 'the', 'resonance', 'case', 'are', 'derived', 'it', 'is', 'shown', 'that', 'jittering', 'of', 'an', 'anharmonic', 'trap', 'position', 'can', 'cause', 'double', 'resonance', 'of', 'the', 'bec', 'width', 'and', 'the', 'center', 'of', 'mass', 'oscillation', 'in', 'the', 'wide', 'range', 'of', 'the', 'bec', 'parameters', 'values', 'the', 'predictions', 'of', 'variational', 'approach', 'are', 'confirmed', 'by', 'full', 'numerical', 'simulations', 'of', 'the', '1d', 'gp', 'equation']] | [-0.170487301272453, 0.1494012880340428, -0.055485039648383555, 0.06251976518383758, -0.03920809496570416, -0.1260876563810414, 0.006850776443671849, 0.31579992638411697, -0.2239473612433431, -0.24638887728103484, 0.033290127024167414, -0.26775808800764456, -0.08449265230541127, 0.22494372840726165, 0.06892887230097043, 0.1066838246289549, 0.08612718067668153, 0.062021475144182193, -0.0650515394623984, -0.19127619468766932, 0.2969080457896596, 0.015784031241153827, 0.2737289658474802, 0.05193762151192817, 0.09021093959760185, 0.013655307095949396, 0.0676209158593356, -0.023865012320304156, -0.1948338022256109, 0.049709333200948405, 0.1652474036872989, 0.034655131331428585, 0.23811803647138255, -0.3846939457862666, -0.23907873158653578, 0.07819342711056122, 0.22305814168331298, 0.20111557477238504, -0.034561968690743954, -0.3150013129525545, -0.004138044790703465, -0.17337087640595256, -0.22989764121934922, -0.06858638003750732, 0.052070873356753526, 0.07868698581105399, -0.29101169512917596, 0.14056526967371352, 0.017693489159673753, 0.061204523205606626, -0.11350790848673294, -0.10940662088023141, -0.040969202022134055, 0.03067935694295988, 0.010726062686775218, 0.0049471452049064365, 0.12595018659803, -0.13231826311617037, -0.061396501476246146, 0.3673560680148916, -0.11464686208696227, -0.1867601644116068, 0.11620313479010054, -0.18154726945559937, -0.018570584734205645, 0.19188951509016933, 0.1574357822002382, 0.07061112806144537, -0.15871043206013816, 0.0986926702469719, -0.057523973991552305, 0.15138007566859626, 0.10180252486595301, 0.005440385057355719, 0.24771431180639097, 0.17145303409132692, 0.004606757936246618, 0.13082907803714125, -0.1293306646849772, -0.15930072635393402, -0.30177351404828107, -0.05854618462799775, -0.18807921772164227, -0.0013433565590542393, -0.043557422376423606, -0.1781524459586239, 0.41199355201814514, 0.06329823948555824, 0.18832976266628865, 0.012145637575715705, 0.2589990770293757, 0.23042367821964413, 0.07655873708897318, -0.012380594876830023, 0.2976156742984636, 0.22714465453214192, 0.06188953508895756, -0.3170489121623563, -0.025660328764581318, 0.039635459939488256] |
709.4358 | Projective Market Model Approach to AHP Decision-Making | In this paper we describe market in projective geometry language and give
definition of a matrix of market rate, which is related to the matrix rate of
return and the matrix of judgements in the Analytic Hierarchy Process (AHP). We
use these observations to extend the AHP model to projective geometry formalism
and generalise it to intransitive case. We give financial interpretations of
such generalised model and propose its simplification. The unification of the
AHP model and projective aspect of portfolio theory suggests a wide spectrum of
new applications such extended model.
| q-fin.PM physics.data-an physics.soc-ph | in this paper we describe market in projective geometry language and give definition of a matrix of market rate which is related to the matrix rate of return and the matrix of judgements in the analytic hierarchy process ahp we use these observations to extend the ahp model to projective geometry formalism and generalise it to intransitive case we give financial interpretations of such generalised model and propose its simplification the unification of the ahp model and projective aspect of portfolio theory suggests a wide spectrum of new applications such extended model | [['in', 'this', 'paper', 'we', 'describe', 'market', 'in', 'projective', 'geometry', 'language', 'and', 'give', 'definition', 'of', 'a', 'matrix', 'of', 'market', 'rate', 'which', 'is', 'related', 'to', 'the', 'matrix', 'rate', 'of', 'return', 'and', 'the', 'matrix', 'of', 'judgements', 'in', 'the', 'analytic', 'hierarchy', 'process', 'ahp', 'we', 'use', 'these', 'observations', 'to', 'extend', 'the', 'ahp', 'model', 'to', 'projective', 'geometry', 'formalism', 'and', 'generalise', 'it', 'to', 'intransitive', 'case', 'we', 'give', 'financial', 'interpretations', 'of', 'such', 'generalised', 'model', 'and', 'propose', 'its', 'simplification', 'the', 'unification', 'of', 'the', 'ahp', 'model', 'and', 'projective', 'aspect', 'of', 'portfolio', 'theory', 'suggests', 'a', 'wide', 'spectrum', 'of', 'new', 'applications', 'such', 'extended', 'model']] | [-0.06735133850926776, -0.005614342276796537, -0.08407486472076373, 0.10945269365554297, -0.11301721929086615, -0.12337750388289113, 0.0650469908926069, 0.35150380244316615, -0.3079869784212307, -0.267786160354381, 0.11597938123083187, -0.21295933104525117, -0.20238098894934292, 0.16229417600223553, -0.12561825803562027, 0.03825806551448414, 0.033055785063998366, 0.006816591212080549, -0.04822102840989828, -0.26055810978109745, 0.3418215257862239, 0.047705832291799394, 0.2683663827736619, 0.07957524304662872, 0.12408097096435401, 0.037544920812765864, -0.06950987209363477, -0.017774518224937114, -0.14656743775729253, 0.17945106181888032, 0.30746437103042135, 0.21012477189019, 0.22230761250197564, -0.4179205859343157, -0.17136554351157468, 0.12475782186400307, 0.076318054875035, 0.07617220075411277, 0.03429039331841404, -0.24745892414205667, 0.03428909687689789, -0.26984079109261866, -0.14570768976219647, -0.10001779333232781, -0.005169006833887618, -0.03447606671176365, -0.2652690511325921, 0.048312537336681526, 0.08453042363828939, 0.03853688633028904, -0.047918070554378966, -0.07725799731080137, 0.022182371948197808, 0.06943081278839837, 0.06566238590818577, -0.029639685639109382, 0.11253829218406716, -0.10178314230111225, -0.1533506601775551, 0.3736645816217946, -0.05099235868850804, -0.22331478260457516, 0.15156490466071534, -0.13868389399620987, -0.13788886380422374, 0.055898864328375326, 0.18743785468699492, 0.09639580054309867, -0.11392936146939578, 0.12102714481285226, -0.08886530300926256, 0.14398475691838108, 0.04531813078590304, -0.015042177037052486, 0.17453235807529974, 0.19110459003233068, 0.04647625681093853, 0.13412474082155235, -0.0027166775873173838, -0.15743598685113955, -0.31834799610078335, -0.1861563798995279, -0.10477960691281149, 0.07943160953152034, -0.12691767567325177, -0.2126715348074314, 0.41998731786304194, 0.20504136146653607, 0.22222113610326272, 0.09121424166369252, 0.24424098849640755, 0.1137136649036699, 0.002583884725185192, -0.017174450306059873, 0.16550452861448992, 0.14982033798309125, 0.10525480863314284, -0.13132854678121436, 0.06433541836905414, 0.11046178476016907] |
709.4359 | On the mechanical quality factors of cryogenic test masses from fused
silica and crystalline quartz | Current interferometric gravitational wave detectors (IGWDs) are operated at
room temperature with test masses made from fused silica. Fused silica shows
very low absorption at the laser wavelength of 1064 nm. It is also well suited
to realize low thermal noise floors in the detector signal band since it offers
low mechanical loss, i. e. high quality factors (Q factors) at room
temperature. However, for a further reduction of thermal noise, cooling the
test masses to cryogenic temperatures may prove an interesting technique. Here
we compare the results of Q factor measurements at cryogenic temperatures of
acoustic eigenmodes of test masses from fused silica and its crystalline
counterpart. Our results show that the mechanical loss of fused silica
increases with lower temperature and reaches a maximum at 30 K for frequencies
of slightly above 10 kHz. The losses of crystalline quartz generally show lower
values and even fall below the room temperature values of fused silica below 10
K. Our results show that in comparison to fused silica, crystalline quartz has
a considerably narrower and lower dissipation peak on cooling and thus has more
promise as a test mass material for IGDWs operated at cryogenic temperatures.
The origin of the different Q factor versus temperature behavior of the two
materials is discussed.
| gr-qc | current interferometric gravitational wave detectors igwds are operated at room temperature with test masses made from fused silica fused silica shows very low absorption at the laser wavelength of 1064 nm it is also well suited to realize low thermal noise floors in the detector signal band since it offers low mechanical loss i e high quality factors q factors at room temperature however for a further reduction of thermal noise cooling the test masses to cryogenic temperatures may prove an interesting technique here we compare the results of q factor measurements at cryogenic temperatures of acoustic eigenmodes of test masses from fused silica and its crystalline counterpart our results show that the mechanical loss of fused silica increases with lower temperature and reaches a maximum at 30 k for frequencies of slightly above 10 khz the losses of crystalline quartz generally show lower values and even fall below the room temperature values of fused silica below 10 k our results show that in comparison to fused silica crystalline quartz has a considerably narrower and lower dissipation peak on cooling and thus has more promise as a test mass material for igdws operated at cryogenic temperatures the origin of the different q factor versus temperature behavior of the two materials is discussed | [['current', 'interferometric', 'gravitational', 'wave', 'detectors', 'igwds', 'are', 'operated', 'at', 'room', 'temperature', 'with', 'test', 'masses', 'made', 'from', 'fused', 'silica', 'fused', 'silica', 'shows', 'very', 'low', 'absorption', 'at', 'the', 'laser', 'wavelength', 'of', '1064', 'nm', 'it', 'is', 'also', 'well', 'suited', 'to', 'realize', 'low', 'thermal', 'noise', 'floors', 'in', 'the', 'detector', 'signal', 'band', 'since', 'it', 'offers', 'low', 'mechanical', 'loss', 'i', 'e', 'high', 'quality', 'factors', 'q', 'factors', 'at', 'room', 'temperature', 'however', 'for', 'a', 'further', 'reduction', 'of', 'thermal', 'noise', 'cooling', 'the', 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709.436 | Electrical networks on $n$-simplex fractals | The decimation map $\mathcal{D}$ for a network of admittances on an
$n$-simplex lattice fractal is studied. The asymptotic behaviour of
$\mathcal{D}$ for large-size fractals is examined. It is found that in the
vicinity of the isotropic point the eigenspaces of the linearized map are
always three for $n \geq 4$; they are given a characterization in terms of
graph theory. A new anisotropy exponent, related to the third eigenspace, is
found, with a value crossing over from $\ln[(n+2)/3]/\ln 2$ to
$\ln[(n+2)^3/n(n+1)^2]/\ln 2$.
| cond-mat.dis-nn | the decimation map mathcald for a network of admittances on an nsimplex lattice fractal is studied the asymptotic behaviour of mathcald for largesize fractals is examined it is found that in the vicinity of the isotropic point the eigenspaces of the linearized map are always three for n geq 4 they are given a characterization in terms of graph theory a new anisotropy exponent related to the third eigenspace is found with a value crossing over from lnn23ln 2 to lnn23nn12ln 2 | [['the', 'decimation', 'map', 'mathcald', 'for', 'a', 'network', 'of', 'admittances', 'on', 'an', 'nsimplex', 'lattice', 'fractal', 'is', 'studied', 'the', 'asymptotic', 'behaviour', 'of', 'mathcald', 'for', 'largesize', 'fractals', 'is', 'examined', 'it', 'is', 'found', 'that', 'in', 'the', 'vicinity', 'of', 'the', 'isotropic', 'point', 'the', 'eigenspaces', 'of', 'the', 'linearized', 'map', 'are', 'always', 'three', 'for', 'n', 'geq', '4', 'they', 'are', 'given', 'a', 'characterization', 'in', 'terms', 'of', 'graph', 'theory', 'a', 'new', 'anisotropy', 'exponent', 'related', 'to', 'the', 'third', 'eigenspace', 'is', 'found', 'with', 'a', 'value', 'crossing', 'over', 'from', 'lnn23ln', '2', 'to', 'lnn23nn12ln', '2']] | [-0.1678165952267591, 0.09235564352293295, -0.07396019065054134, 0.04298069528886117, -0.008866159935860197, -0.10947229267330841, -0.016414293421257754, 0.3466238347114995, -0.28778590901056306, -0.22169098033336923, 0.11704745270253625, -0.33129839557223023, -0.18278781867411453, 0.17892109430686104, -0.013315079058520496, 0.02723810791503638, 0.005548490321962163, 0.13271882471453864, -0.07423551010870141, -0.21646269914526783, 0.342763131466927, 0.011845938063925133, 0.24678231276193402, 0.01875075699572335, 0.07742574081057682, -0.03421560633869376, 0.00032403776422142985, 0.029551446494588164, -0.1574980373760809, 0.09592429487966, 0.21494443230330945, 0.06297672968939878, 0.2212144147255458, -0.320700987521559, -0.18437412787461654, 0.13447294927900658, 0.16799679993418976, 0.045814229210373016, 0.020643909572390838, -0.24415484711062163, 0.160627724789083, -0.10562643564480823, -0.17603256105212495, -0.02345459860516712, 0.07786494619213044, -0.009430027683265507, -0.2849392856587656, 0.033283471618779, 0.08428870050265687, 0.080761903594248, -0.031029205466620625, -0.12531812883680687, -0.052933523582760246, 0.11760369929252193, -0.01500868363364134, 0.0542836056149099, 0.07547233947552741, -0.10806099073379301, -0.09300354002043605, 0.38052106318064033, -0.027881383837666363, -0.2178017077036202, 0.11736911626067012, -0.1708535375422798, -0.13382481573498808, 0.16848491996061057, 0.12132070962688886, 0.08359587768791243, -0.11913876271573827, 0.1267436053021811, -0.08242045927327127, 0.15277122017178044, 0.08049231117474846, -0.02387785825994797, 0.15351403938839212, 0.16703498866409064, 0.11800948135205544, 0.15540482110809534, -0.06152850581274834, -0.08538779849768616, -0.3102547001675703, -0.13790114484145305, -0.25493949932279064, 0.08032207462238147, -0.171109903982142, -0.19783836413989775, 0.39009649415966124, 0.07992558731348254, 0.22201604867586866, 0.06520398322027177, 0.1755087906960398, 0.1217134400154464, 0.0323948441829998, 0.10364391726325266, 0.19216163154924287, 0.12848804901586847, 0.06035562991601182, -0.16655161258240697, 0.016043309893575497, 0.14144329743576237] |
709.4361 | Interest rates mapping | The present study deals with the analysis and mapping of Swiss franc interest
rates. Interest rates depend on time and maturity, defining term structure of
the interest rate curves (IRC). In the present study IRC are considered in a
two-dimensional feature space - time and maturity. Geostatistical models and
machine learning algorithms (multilayer perceptron and Support Vector Machines)
were applied to produce interest rate maps. IR maps can be used for the
visualisation and patterns perception purposes, to develop and to explore
economical hypotheses, to produce dynamic asses-liability simulations and for
the financial risk assessments. The feasibility of an application of interest
rates mapping approach for the IRC forecasting is considered as well.
| q-fin.ST physics.data-an | the present study deals with the analysis and mapping of swiss franc interest rates interest rates depend on time and maturity defining term structure of the interest rate curves irc in the present study irc are considered in a twodimensional feature space time and maturity geostatistical models and machine learning algorithms multilayer perceptron and support vector machines were applied to produce interest rate maps ir maps can be used for the visualisation and patterns perception purposes to develop and to explore economical hypotheses to produce dynamic assesliability simulations and for the financial risk assessments the feasibility of an application of interest rates mapping approach for the irc forecasting is considered as well | [['the', 'present', 'study', 'deals', 'with', 'the', 'analysis', 'and', 'mapping', 'of', 'swiss', 'franc', 'interest', 'rates', 'interest', 'rates', 'depend', 'on', 'time', 'and', 'maturity', 'defining', 'term', 'structure', 'of', 'the', 'interest', 'rate', 'curves', 'irc', 'in', 'the', 'present', 'study', 'irc', 'are', 'considered', 'in', 'a', 'twodimensional', 'feature', 'space', 'time', 'and', 'maturity', 'geostatistical', 'models', 'and', 'machine', 'learning', 'algorithms', 'multilayer', 'perceptron', 'and', 'support', 'vector', 'machines', 'were', 'applied', 'to', 'produce', 'interest', 'rate', 'maps', 'ir', 'maps', 'can', 'be', 'used', 'for', 'the', 'visualisation', 'and', 'patterns', 'perception', 'purposes', 'to', 'develop', 'and', 'to', 'explore', 'economical', 'hypotheses', 'to', 'produce', 'dynamic', 'assesliability', 'simulations', 'and', 'for', 'the', 'financial', 'risk', 'assessments', 'the', 'feasibility', 'of', 'an', 'application', 'of', 'interest', 'rates', 'mapping', 'approach', 'for', 'the', 'irc', 'forecasting', 'is', 'considered', 'as', 'well']] | [-0.06560108014843888, 0.012153248358355323, -0.041213125443539105, 0.10513576044730406, -0.06870135899448583, -0.12384205415156914, 0.05744082465986008, 0.4329137947443906, -0.23667361624203287, -0.25759388145629886, 0.18554976387662594, -0.23176896768445904, -0.16010871977620833, 0.23540052315136334, -0.09388160452179543, 0.07977024406228247, 0.05627630609884724, -0.0006121621123171068, -0.005184197580223685, -0.2655036467807116, 0.286216579713263, 0.08702208154818027, 0.35375263460551026, 0.01059288998042141, 0.0957214292768087, 0.010582082124577986, -0.09015927386998727, -0.021140768297849357, -0.13940579531848565, 0.15163858997979546, 0.33495244190982687, 0.19674551621633204, 0.3113054616380953, -0.4088908126661638, -0.2565954493291609, 0.10568411365940093, 0.08217223133338061, 0.046878426126256874, -0.03793650470896381, -0.2758072920852584, 0.022171624468404566, -0.17269564112900077, -0.10903207054529507, -0.14512618101696978, -0.005245683316208489, 0.0502729776256659, -0.29834026048591294, 0.0118633777633108, -0.007589252452735227, 0.10046329715935227, -0.09393256946743743, -0.09794416848721134, -0.002713557766951822, 0.18982593334795958, 0.0926187328704809, 0.026754114697141958, 0.13133147423499608, -0.1671135577484378, -0.15000556064517917, 0.3666328954282804, -0.102619533808818, -0.17463128970147254, 0.226496416222732, -0.07344980074327674, -0.13338613832319104, 0.10449712089187391, 0.2624930190006355, 0.1031336464524806, -0.16445963469025604, 0.05492662412307418, 0.02237276212303891, 0.16112387765131825, 0.015537188333870322, 0.02897545050196182, 0.20253169703452537, 0.20762985043630405, 0.01734607559440003, 0.15668970145922792, -0.13335422578536243, -0.12646610650594706, -0.231872898333513, -0.16197142599838543, -0.11660577226870668, -0.011564234927137223, -0.09143030576235908, -0.13884619828145783, 0.38299166326838974, 0.16675092821504484, 0.19150542379734484, 0.07082841331390916, 0.27961256323164113, 0.10269553667282569, 0.05612559503296743, 0.05791355724035351, 0.19531184316272973, 0.07796411754286571, 0.13428619338266617, -0.1370059646212974, 0.14362716138664935, 0.07090832683182247] |
709.4362 | Functional treatment of quantum scattering via the dynamical principle | A careful functional treatment of quantum scattering is given using
Schwinger's dynamical principle which involves a functional differentiation
operation applied to a generating functional written in closed form. For long
range interactions, such as for the Coulomb one, it is shown that this
expression may be used to obtain explicitly the asymptotic "free" modified
Green function near the energy shell.
| hep-th | a careful functional treatment of quantum scattering is given using schwingers dynamical principle which involves a functional differentiation operation applied to a generating functional written in closed form for long range interactions such as for the coulomb one it is shown that this expression may be used to obtain explicitly the asymptotic free modified green function near the energy shell | [['a', 'careful', 'functional', 'treatment', 'of', 'quantum', 'scattering', 'is', 'given', 'using', 'schwingers', 'dynamical', 'principle', 'which', 'involves', 'a', 'functional', 'differentiation', 'operation', 'applied', 'to', 'a', 'generating', 'functional', 'written', 'in', 'closed', 'form', 'for', 'long', 'range', 'interactions', 'such', 'as', 'for', 'the', 'coulomb', 'one', 'it', 'is', 'shown', 'that', 'this', 'expression', 'may', 'be', 'used', 'to', 'obtain', 'explicitly', 'the', 'asymptotic', 'free', 'modified', 'green', 'function', 'near', 'the', 'energy', 'shell']] | [-0.11186878513350772, 0.08649416112651427, -0.14314387643729182, 0.1602111938118469, -0.06505390888002391, -0.08931237662715527, 0.028350447968114166, 0.3247586818722387, -0.27237208966786663, -0.26984279543782275, 0.05032059597433545, -0.2050930299020062, -0.18041155675891787, 0.2161590904307862, 0.00657419521206369, 0.04964073155230532, 0.04094298302273577, 0.07950570643879473, -0.05744918346172199, -0.18000917006283998, 0.28171203907113523, 0.0149866940434246, 0.2611269064092388, 0.08681893707253038, 0.11464874277201792, 0.11438401012176959, 0.032851623425570624, 0.03390623066419115, -0.11185732343838026, 0.11790833128422189, 0.28861626841050264, 0.08112727905002733, 0.2826869233511388, -0.4535473220050335, -0.2497949390206486, 0.04470491528239411, 0.133291357755661, 0.1166310366766993, -0.06039333183628817, -0.21506750194045404, 0.03999579845306774, -0.21962551828473806, -0.1739009911660105, -0.11491180344019085, 0.029360281645009915, 0.012755935592576862, -0.32157514250526825, 0.07401001215718377, -0.00873011282577257, 0.016153336611265938, -0.06608292196178808, -0.08366038450816025, 0.006802714228009184, 0.15474418905408432, 0.027071897181061406, 0.06026715524494648, 0.14392942749739934, -0.08329661855241284, -0.02175002338772174, 0.3576127803574006, -0.08135876738427518, -0.25267139909168085, 0.1618716647072385, -0.0932438425719738, -0.12381775028382738, 0.12882299677779277, 0.07810347488460441, 0.12913910519176472, -0.2431398504568885, 0.1102564583842953, 0.038277273159474136, 0.1293010343797505, 0.11353619379612306, 0.015361475036479532, 0.17458045724779367, 0.13098167199641467, 0.03817225007805973, 0.13074802602447258, -0.04261850726325065, -0.12466722936369479, -0.3607115548104048, -0.16549771938783428, -0.21432407811904947, 0.12733566905371846, -0.0474908924040695, -0.2307301623450864, 0.3554902465417399, 0.05796957302566928, 0.11851767488212014, 0.03027745017510218, 0.23365314332768322, 0.2398025290245035, 0.15003915981700022, 0.019658085354603828, 0.18892076251407464, 0.13456793611791606, 0.05600961862752835, -0.23362070565150742, 0.04347299213986844, 0.11416234909556806] |
709.4363 | Calabi-Bernstein results for maximal surfaces in Lorentzian product
spaces | In this paper we establish new Calabi-Bernstein results for maximal surfaces
immersed into a Lorentzian product space of the form $M^2\times\mathbb{R}_1$,
where $M^2$ is a connected Riemannian surface and $M^2\times\mathbb{R}_1$ is
endowed with the Lorentzian metric $<,>=<,>_{M}-dt^2$. In particular, when $M$
is a Riemannian surface with non-negative Gaussian curvature $K_M$, we prove
that any complete maximal surface in $M^2\times\mathbb{R}_1$ must be totally
geodesic. Besides, if $M$ is non-flat we conclude that it must be a slice
$M\times\{t_0\}$, $t_0\in\mathbb{R}$ (here by "complete" it is meant, as usual,
that the induced Riemannian metric on the maximal surface from the ambient
Lorentzian metric is complete). We prove that the same happens if the maximal
surface is complete with respect to the metric induced from the Riemannian
product $M^2\times\mathbb{R}$. This allows us to give also a non-parametric
version of the Calabi-Bernstein theorem for entire maximal graphs in
$M^2\times\mathbb{R}_1$, under the same assumptions on $K_M$. Moreover, we also
construct counterexamples which show that our Calabi-Bernstein results are no
longer true without the hypothesis $K_M\geq 0$. These examples are constructed
via a duality result between minimal and maximal graphs.
| math.DG math-ph math.MP | in this paper we establish new calabibernstein results for maximal surfaces immersed into a lorentzian product space of the form m2timesmathbbr_1 where m2 is a connected riemannian surface and m2timesmathbbr_1 is endowed with the lorentzian metric _mdt2 in particular when m is a riemannian surface with nonnegative gaussian curvature k_m we prove that any complete maximal surface in m2timesmathbbr_1 must be totally geodesic besides if m is nonflat we conclude that it must be a slice mtimest_0 t_0inmathbbr here by complete it is meant as usual that the induced riemannian metric on the maximal surface from the ambient lorentzian metric is complete we prove that the same happens if the maximal surface is complete with respect to the metric induced from the riemannian product m2timesmathbbr this allows us to give also a nonparametric version of the calabibernstein theorem for entire maximal graphs in m2timesmathbbr_1 under the same assumptions on k_m moreover we also construct counterexamples which show that our calabibernstein results are no longer true without the hypothesis k_mgeq 0 these examples are constructed via a duality result between minimal and maximal graphs | [['in', 'this', 'paper', 'we', 'establish', 'new', 'calabibernstein', 'results', 'for', 'maximal', 'surfaces', 'immersed', 'into', 'a', 'lorentzian', 'product', 'space', 'of', 'the', 'form', 'm2timesmathbbr_1', 'where', 'm2', 'is', 'a', 'connected', 'riemannian', 'surface', 'and', 'm2timesmathbbr_1', 'is', 'endowed', 'with', 'the', 'lorentzian', 'metric', '_mdt2', 'in', 'particular', 'when', 'm', 'is', 'a', 'riemannian', 'surface', 'with', 'nonnegative', 'gaussian', 'curvature', 'k_m', 'we', 'prove', 'that', 'any', 'complete', 'maximal', 'surface', 'in', 'm2timesmathbbr_1', 'must', 'be', 'totally', 'geodesic', 'besides', 'if', 'm', 'is', 'nonflat', 'we', 'conclude', 'that', 'it', 'must', 'be', 'a', 'slice', 'mtimest_0', 't_0inmathbbr', 'here', 'by', 'complete', 'it', 'is', 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709.4364 | A topos for algebraic quantum theory | The aim of this paper is to relate algebraic quantum mechanics to topos
theory, so as to construct new foundations for quantum logic and quantum
spaces. Motivated by Bohr's idea that the empirical content of quantum physics
is accessible only through classical physics, we show how a C*-algebra of
observables A induces a topos T(A) in which the amalgamation of all of its
commutative subalgebras comprises a single commutative C*-algebra. According to
the constructive Gelfand duality theorem of Banaschewski and Mulvey, the latter
has an internal spectrum S(A) in T(A), which in our approach plays the role of
a quantum phase space of the system. Thus we associate a locale (which is the
topos-theoretical notion of a space and which intrinsically carries the
intuitionistic logical structure of a Heyting algebra) to a C*-algebra (which
is the noncommutative notion of a space). In this setting, states on A become
probability measures (more precisely, valuations) on S(A), and self-adjoint
elements of A define continuous functions (more precisely, locale maps) from
S(A) to Scott's interval domain. Noting that open subsets of S(A) correspond to
propositions about the system, the pairing map that assigns a (generalized)
truth value to a state and a proposition assumes an extremely simple
categorical form. Formulated in this way, the quantum theory defined by A is
essentially turned into a classical theory, internal to the topos T(A).
| quant-ph math.CT math.OA | the aim of this paper is to relate algebraic quantum mechanics to topos theory so as to construct new foundations for quantum logic and quantum spaces motivated by bohrs idea that the empirical content of quantum physics is accessible only through classical physics we show how a calgebra of observables a induces a topos ta in which the amalgamation of all of its commutative subalgebras comprises a single commutative calgebra according to the constructive gelfand duality theorem of banaschewski and mulvey the latter has an internal spectrum sa in ta which in our approach plays the role of a quantum phase space of the system thus we associate a locale which is the topostheoretical notion of a space and which intrinsically carries the intuitionistic logical structure of a heyting algebra to a calgebra which is the noncommutative notion of a space in this setting states on a become probability measures more precisely valuations on sa and selfadjoint elements of a define continuous functions more precisely locale maps from sa to scotts interval domain noting that open subsets of sa correspond to propositions about the system the pairing map that assigns a generalized truth value to a state and a proposition assumes an extremely simple categorical form formulated in this way the quantum theory defined by a is essentially turned into a classical theory internal to the topos ta | [['the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'relate', 'algebraic', 'quantum', 'mechanics', 'to', 'topos', 'theory', 'so', 'as', 'to', 'construct', 'new', 'foundations', 'for', 'quantum', 'logic', 'and', 'quantum', 'spaces', 'motivated', 'by', 'bohrs', 'idea', 'that', 'the', 'empirical', 'content', 'of', 'quantum', 'physics', 'is', 'accessible', 'only', 'through', 'classical', 'physics', 'we', 'show', 'how', 'a', 'calgebra', 'of', 'observables', 'a', 'induces', 'a', 'topos', 'ta', 'in', 'which', 'the', 'amalgamation', 'of', 'all', 'of', 'its', 'commutative', 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709.4365 | Interplay between Bonding and Magnetism in the Adsorption of NO on Rh
Clusters | We have studied the adsorption of NO on small Rh clusters, containing one to
five atoms, using density functional theory in both spin-polarized and
non-spin-polarized forms. We find that NO bonds more strongly to Rh clusters
than it does to Rh(100) or Rh(111); however, it also quenches the magnetism of
the clusters. This (local) effect results in reducing the magnitude of the
adsorption energy, and also washes out the clear size-dependent trend observed
in the non-magnetic case. Our results illustrate the competition present
between the tendencies to bond and to magnetize, in small clusters.
| cond-mat.mtrl-sci cond-mat.other | we have studied the adsorption of no on small rh clusters containing one to five atoms using density functional theory in both spinpolarized and nonspinpolarized forms we find that no bonds more strongly to rh clusters than it does to rh100 or rh111 however it also quenches the magnetism of the clusters this local effect results in reducing the magnitude of the adsorption energy and also washes out the clear sizedependent trend observed in the nonmagnetic case our results illustrate the competition present between the tendencies to bond and to magnetize in small clusters | [['we', 'have', 'studied', 'the', 'adsorption', 'of', 'no', 'on', 'small', 'rh', 'clusters', 'containing', 'one', 'to', 'five', 'atoms', 'using', 'density', 'functional', 'theory', 'in', 'both', 'spinpolarized', 'and', 'nonspinpolarized', 'forms', 'we', 'find', 'that', 'no', 'bonds', 'more', 'strongly', 'to', 'rh', 'clusters', 'than', 'it', 'does', 'to', 'rh100', 'or', 'rh111', 'however', 'it', 'also', 'quenches', 'the', 'magnetism', 'of', 'the', 'clusters', 'this', 'local', 'effect', 'results', 'in', 'reducing', 'the', 'magnitude', 'of', 'the', 'adsorption', 'energy', 'and', 'also', 'washes', 'out', 'the', 'clear', 'sizedependent', 'trend', 'observed', 'in', 'the', 'nonmagnetic', 'case', 'our', 'results', 'illustrate', 'the', 'competition', 'present', 'between', 'the', 'tendencies', 'to', 'bond', 'and', 'to', 'magnetize', 'in', 'small', 'clusters']] | [-0.09641994708192911, 0.1464544569261055, -0.057955043519193186, 0.09532070507052691, 0.008705857910830131, -0.09806872872596091, 0.1193330301717419, 0.4073026582321271, -0.23390481969994303, -0.320940846854702, 0.0027934694811305467, -0.358844283849318, -0.13536892208379714, 0.14010533595091088, 0.06390858873566414, -0.07154257009994794, 0.011552757791619985, -0.030004411995252396, -0.07884806305160151, -0.3111061762840031, 0.27470964155694905, 0.059698972747007265, 0.27203172542392573, 0.10764761064746516, -0.010582446784494406, -0.0036643756964699703, 0.041867677305646715, 0.06716046226706276, -0.144384618192565, 0.08858915375535713, 0.22134342625925435, -0.02690476533322734, 0.238423971855577, -0.4873330723890599, -0.19582806634617614, 0.0922311363058125, 0.1190680463233606, 0.1420250783892388, -0.08960303782805568, -0.2298668277761998, 0.06631774969022483, -0.11673234726867064, -0.11257480596132735, -0.05232324096017537, 0.04010242697822445, 0.005860506729074219, -0.2112479147679628, 0.13623021268025734, 0.05712865763393409, 0.058573651622901575, -0.09879990134566546, -0.13728821635285907, -0.11131048774188186, 0.07729812727081886, 0.08020036952926758, 0.009940203789270487, 0.1535696690862483, -0.09783947935199087, -0.051259694838936026, 0.38751966177307545, -0.061644242158279745, -0.12055809250190616, 0.2589029011618782, -0.19446949964944035, -0.16579874306719036, 0.10704025893690104, 0.08934277485055413, 0.11131791424679946, -0.12342104790831342, 0.02304733715062228, -0.021296900267306556, 0.21046303739731617, 0.0620377701905338, 0.004513365352783907, 0.19477248464294888, 0.1447062775879068, 0.0987364688164931, 0.13993673108300156, -0.11258317995073393, -0.1199672483254541, -0.19640648179747006, -0.14906302075139544, -0.1660476592988608, 0.014332949238373562, -0.07338921359614493, -0.18570832452399932, 0.34495866946638265, 0.1604391258962928, 0.17634033271795177, -0.01611585468995048, 0.21160198106093608, 0.07561879006259024, 0.12528254739702382, 0.04239326255752685, 0.25797765737676875, 0.1376939116125094, 0.07821091195627888, -0.26682402292623164, 0.08480241044642443, -0.02947489806559888] |
709.4366 | X-Ray Eclipse Time Delays in 4U2129+47 | 4U 2129+47 was discovered in the early 80's and classified as an accretion
disk corona source due to its broad and partial X-ray eclipses. The 5.24 hr
binary orbital period was inferred from the X-ray and optical light curve
modulation, implying a late K or M spectral type companion star.
The source entered a low state in 1983, during which the optical modulation
disappeared and an F8 IV star was revealed, suggesting that 4U 2129+47 might be
part of a triple system. The nature of 4U 2129+47 has since been investigated,
but no definitive conclusion has been reached.
Here, we present timing and spectral analyses of two XMM-Newton observations
of this source, carried out in May and June, 2005. We find evidence for a delay
between two mid-eclipse epochs measured ~22 days apart, and we show that this
delay can be naturally explained as being due to the orbital motion of the
binary 4U 2129+47 around the center of mass of a triple system. This result
thus provides further support in favor of the triple nature of 4U 2129+47.
| astro-ph | 4u 212947 was discovered in the early 80s and classified as an accretion disk corona source due to its broad and partial xray eclipses the 524 hr binary orbital period was inferred from the xray and optical light curve modulation implying a late k or m spectral type companion star the source entered a low state in 1983 during which the optical modulation disappeared and an f8 iv star was revealed suggesting that 4u 212947 might be part of a triple system the nature of 4u 212947 has since been investigated but no definitive conclusion has been reached here we present timing and spectral analyses of two xmmnewton observations of this source carried out in may and june 2005 we find evidence for a delay between two mideclipse epochs measured 22 days apart and we show that this delay can be naturally explained as being due to the orbital motion of the binary 4u 212947 around the center of mass of a triple system this result thus provides further support in favor of the triple nature of 4u 212947 | [['4u', '212947', 'was', 'discovered', 'in', 'the', 'early', '80s', 'and', 'classified', 'as', 'an', 'accretion', 'disk', 'corona', 'source', 'due', 'to', 'its', 'broad', 'and', 'partial', 'xray', 'eclipses', 'the', '524', 'hr', 'binary', 'orbital', 'period', 'was', 'inferred', 'from', 'the', 'xray', 'and', 'optical', 'light', 'curve', 'modulation', 'implying', 'a', 'late', 'k', 'or', 'm', 'spectral', 'type', 'companion', 'star', 'the', 'source', 'entered', 'a', 'low', 'state', 'in', '1983', 'during', 'which', 'the', 'optical', 'modulation', 'disappeared', 'and', 'an', 'f8', 'iv', 'star', 'was', 'revealed', 'suggesting', 'that', '4u', '212947', 'might', 'be', 'part', 'of', 'a', 'triple', 'system', 'the', 'nature', 'of', '4u', '212947', 'has', 'since', 'been', 'investigated', 'but', 'no', 'definitive', 'conclusion', 'has', 'been', 'reached', 'here', 'we', 'present', 'timing', 'and', 'spectral', 'analyses', 'of', 'two', 'xmmnewton', 'observations', 'of', 'this', 'source', 'carried', 'out', 'in', 'may', 'and', 'june', '2005', 'we', 'find', 'evidence', 'for', 'a', 'delay', 'between', 'two', 'mideclipse', 'epochs', 'measured', '22', 'days', 'apart', 'and', 'we', 'show', 'that', 'this', 'delay', 'can', 'be', 'naturally', 'explained', 'as', 'being', 'due', 'to', 'the', 'orbital', 'motion', 'of', 'the', 'binary', '4u', '212947', 'around', 'the', 'center', 'of', 'mass', 'of', 'a', 'triple', 'system', 'this', 'result', 'thus', 'provides', 'further', 'support', 'in', 'favor', 'of', 'the', 'triple', 'nature', 'of', '4u', '212947']] | [-0.15218534989818389, 0.10013167194481654, -0.13269640951204068, 0.05648420975665827, -0.11409291474268299, -0.13703681856872482, 0.09783154172047598, 0.40984296900293055, -0.19106778637219907, -0.3505486973129504, 0.15536492995595216, -0.2742866315155722, -0.08135746713004507, 0.21945226913598995, -0.08995990578719941, -0.009355592263365612, 0.12690349084431796, -0.013736293523692052, -0.061447901574194996, -0.2423726586942358, 0.24131172460532493, 0.06308506130157611, 0.12268476237220347, 0.00976510650306607, 0.06847915044343801, -0.017345732428502895, -0.05139805404739272, -0.06616481735927765, -0.08953464744190162, 0.0001393227367115587, 0.23305834781940424, 0.12953419509921327, 0.17809807687123727, -0.330606670914915, -0.2423870975214093, 0.054683943422899485, 0.15602108229123388, -0.0031249491353493248, -0.033492932452523674, -0.2731810417195376, 0.0641432465940217, -0.2539479980549603, -0.14991571447505048, 0.05786358684759233, 0.12284641248803566, -0.01736186310524048, -0.18571899885405374, 0.09025960179129043, 0.08512237070352047, 0.0758901642903415, -0.165666692368309, -0.07128043900967143, -0.04228345147079096, 0.05470119969393829, 0.057431582794602774, 0.08337583908597893, 0.054042958683079345, -0.04170939634429218, -0.10352183645851286, 0.346063799542172, -0.06961354036560521, 0.07216031573369433, 0.20544540524800106, -0.19565344248851502, -0.19229944757648937, 0.1764384315728975, 0.1100576593535406, 0.09335627949109832, -0.16328831488922155, 0.008137506432018332, -0.01198455559378542, 0.2859829021051953, 0.11546427979753171, 0.037895937998487755, 0.37012654837928505, 0.11013147376761277, -0.04817451640063449, 0.13354026228540666, -0.23441999198806435, -0.026965265852976695, -0.18364084361956126, -0.09518978126638429, -0.1455927189405716, 0.12100336976042382, -0.04230092273784122, -0.10942676888685153, 0.35487017114308544, 0.03749099973258797, 0.21224635051480134, -0.07199900902940387, 0.21924273490739268, 0.14697659781135036, 0.04292642069154864, 0.10949025680467112, 0.3544771435082625, 0.14823611862775377, 0.17160530750998737, -0.2441076824100761, 0.10248002275439531, 0.00641342964772572] |
709.4367 | Are biological neurons that vicious ? Or only their models ? | This paper has been withdrawn. Its main conclusions have been published in
"On dynamics of integrate-and-fi re neural networks with conductance based
synapses", arXiv:0709.4370 and
http://www.frontiersin.org/computational_neuroscience/10.3389/neuro.10/002.2008/abstract
| physics.bio-ph nlin.AO physics.comp-ph q-bio.NC | this paper has been withdrawn its main conclusions have been published in on dynamics of integrateandfi re neural networks with conductance based synapses arxiv07094370 and httpwwwfrontiersinorgcomputational_neuroscience103389neuro100022008abstract | [['this', 'paper', 'has', 'been', 'withdrawn', 'its', 'main', 'conclusions', 'have', 'been', 'published', 'in', 'on', 'dynamics', 'of', 'integrateandfi', 're', 'neural', 'networks', 'with', 'conductance', 'based', 'synapses', 'arxiv07094370', 'and', 'httpwwwfrontiersinorgcomputational_neuroscience103389neuro100022008abstract']] | [-0.11504398375425649, -0.03674933642310941, -0.11579506107322547, -0.08466296289217375, -0.06258764688897392, -0.1632894521943577, -0.010795675658458926, 0.45031566845010157, -0.1898935080870338, -0.3056173395851384, 0.0673621055295529, -0.31615649754910363, -0.2609746184038079, 0.14469169363703416, -0.162936401836898, 0.15188012239472617, 0.08227231823231863, 0.011012407181703526, 0.03956501926902844, -0.3345441073179245, 0.29072040558347234, 0.09470258345422537, 0.3042754882885872, 0.14806588079132463, 0.05728915418781664, -0.16087407145001317, -0.03486165651322707, 0.02123763647092425, -0.10979208216557036, 0.11727647518779596, 0.2161666874004447, 0.07930071000009775, 0.38101261837974837, -0.5192485853381779, -0.281734813126209, 0.08048797076891946, 0.2066288115861623, 0.13821225564764894, -0.05570482639292174, -0.31762122929744097, 0.18214117768018143, -0.2173257928908519, 0.01463010874779328, -0.052761966119641845, 0.1381688603281003, 0.05996567116665613, -0.10789984812879044, 0.03722104744013885, 0.10936844680944215, 0.21195536414566246, 0.016231180042149903, -0.2487341181739517, -0.001080014702418576, 0.1641824507235509, 0.1025169289306454, 0.04503403450159923, 0.07391516281210858, -0.07926101123144769, -0.1596277585334104, 0.2862028440703516, 0.03907817318711592, -0.17398900506289108, 0.18315339810214937, -0.06932071377725704, -0.21035305625232664, 0.09812775468858688, 0.21967337082099656, 0.05524790011670278, -0.2500017766800264, 0.12149768788114433, -0.04105187195312718, 0.17887153055356897, 0.06894144428003093, -0.018734812574542088, 0.17835248164508655, 0.3311206997250733, -0.06296334021886729, 0.10179663417132004, -0.11008146693727569, -0.06320621380987375, -0.10010006888162183, -0.07355026767143737, -0.23497814280183418, 0.10957090459440065, 0.10239260321870224, -0.14074117682226325, 0.4408541704001634, 0.2244689975986662, 0.19935101319266402, 0.04798132881684148, 0.2844171689256378, 0.1363285509818841, 0.14832298155954998, 0.038052872471187424, 0.31459743100339954, 0.22100756216146375, 0.23170660980774657, -0.1251753144290136, 0.22070681297665704, 0.053402375551345554] |
709.4368 | QCD with overlap fermions: Running coupling and the 3-loop beta-function | We calculate the relation between the bare coupling constant g_0 and the
MSbar-renormalized coupling g_MS: g_0 = Z_g(g_0,a \mu) g_MS, to 2 loops in
perturbation theory. We employ the standard Wilson action for gluons and the
overlap action for fermions. For convenience, we have worked with the
background field technique, which only requires evaluation of 2-point Green's
function for the problem at hand. Our results depend explicitly on the number
of fermion flavors (N_f) and colors (N). Since the dependence of Z_g on the
overlap parameter rho cannot be extracted analytically, we tabulate our results
for different values in the allowed range of rho (0 < rho < 2), focusing on
values which are being used most frequently in simulations. Knowledge of Z_g
allows us to derive the 3-loop coefficient of the bare beta-function
(beta_L(g_0)) which, unlike the 1- and 2-loop coefficients, is
regularization-dependent. The nontrivial dependence of Z_g and of beta_L(g_0)
on rho is plotted for various choices of N, N_f.
| hep-lat | we calculate the relation between the bare coupling constant g_0 and the msbarrenormalized coupling g_ms g_0 z_gg_0a mu g_ms to 2 loops in perturbation theory we employ the standard wilson action for gluons and the overlap action for fermions for convenience we have worked with the background field technique which only requires evaluation of 2point greens function for the problem at hand our results depend explicitly on the number of fermion flavors n_f and colors n since the dependence of z_g on the overlap parameter rho cannot be extracted analytically we tabulate our results for different values in the allowed range of rho 0 rho 2 focusing on values which are being used most frequently in simulations knowledge of z_g allows us to derive the 3loop coefficient of the bare betafunction beta_lg_0 which unlike the 1 and 2loop coefficients is regularizationdependent the nontrivial dependence of z_g and of beta_lg_0 on rho is plotted for various choices of n n_f | [['we', 'calculate', 'the', 'relation', 'between', 'the', 'bare', 'coupling', 'constant', 'g_0', 'and', 'the', 'msbarrenormalized', 'coupling', 'g_ms', 'g_0', 'z_gg_0a', 'mu', 'g_ms', 'to', '2', 'loops', 'in', 'perturbation', 'theory', 'we', 'employ', 'the', 'standard', 'wilson', 'action', 'for', 'gluons', 'and', 'the', 'overlap', 'action', 'for', 'fermions', 'for', 'convenience', 'we', 'have', 'worked', 'with', 'the', 'background', 'field', 'technique', 'which', 'only', 'requires', 'evaluation', 'of', '2point', 'greens', 'function', 'for', 'the', 'problem', 'at', 'hand', 'our', 'results', 'depend', 'explicitly', 'on', 'the', 'number', 'of', 'fermion', 'flavors', 'n_f', 'and', 'colors', 'n', 'since', 'the', 'dependence', 'of', 'z_g', 'on', 'the', 'overlap', 'parameter', 'rho', 'can', 'not', 'be', 'extracted', 'analytically', 'we', 'tabulate', 'our', 'results', 'for', 'different', 'values', 'in', 'the', 'allowed', 'range', 'of', 'rho', '0', 'rho', '2', 'focusing', 'on', 'values', 'which', 'are', 'being', 'used', 'most', 'frequently', 'in', 'simulations', 'knowledge', 'of', 'z_g', 'allows', 'us', 'to', 'derive', 'the', '3loop', 'coefficient', 'of', 'the', 'bare', 'betafunction', 'beta_lg_0', 'which', 'unlike', 'the', '1', 'and', '2loop', 'coefficients', 'is', 'regularizationdependent', 'the', 'nontrivial', 'dependence', 'of', 'z_g', 'and', 'of', 'beta_lg_0', 'on', 'rho', 'is', 'plotted', 'for', 'various', 'choices', 'of', 'n', 'n_f']] | [-0.1271222185673593, 0.17848228897215634, -0.08003696558490113, 0.047787651273752035, -0.06622088039175997, -0.11654466916394385, 0.044810564247626056, 0.3639119098823565, -0.13749857225876796, -0.303901580368652, 0.032631151479097155, -0.31096058693514395, -0.10152203293481865, 0.17042577164277103, 0.05154777469726492, 0.04411342856787363, -0.0044620273814571995, 0.08729584533072819, -0.09596191147118335, -0.24057156220078468, 0.3607499547261462, -0.03679295107899116, 0.22765152959176635, 0.13380442538499077, 0.058162625602010305, 0.039211134046840755, -0.043726031808845725, -0.022171204635590504, -0.1593963755221, 0.05129148561324735, 0.19642922029052448, 0.03522197142703152, 0.1718504970445286, -0.34670825165260255, -0.15432219845287007, 0.08426786047595117, 0.14284946084983316, 0.04923802222894458, 0.043364063745270236, -0.21012168099714704, 0.08297708840625172, -0.16343351732202677, -0.1337142906113398, -0.09863701598760023, 0.03957887701587044, -0.039259919792095414, -0.33936511083134696, 0.07468869599006787, -0.06306064094098497, 0.02717885712185238, -0.004582955163411348, -0.20937543589315272, -0.023348927959841028, 0.18778868862560397, 0.10142629699201947, 0.06897227774385976, 0.129061960830365, -0.18797796096982836, -0.05235098145608908, 0.3744446604713043, -0.10528449330750052, -0.22686864902512938, 0.1408398862503752, -0.18062220514999539, -0.14887797958630172, 0.09902732539567412, 0.12567055455255735, 0.14642988536153226, -0.0909585572625923, 0.18182975258435052, -0.030986693322281295, 0.18988256545256987, 0.09402125833638578, 0.02559562618225294, 0.12814094046649488, 0.06665276490369977, 0.0001802954968666257, 0.06690591234121401, -0.04213358909834789, -0.06918428008904375, -0.34770540728033345, -0.10506931995631114, -0.1768144254566795, 0.06987123107812088, -0.17078209780641063, -0.1455044233338919, 0.3774380920737793, 0.1632342120732735, 0.21651639710062573, 0.08585424175636278, 0.2339566668180183, 0.14276973743881746, 0.09695345675130669, 0.058904037062267336, 0.21421571017266547, 0.15641927143376133, 0.050846665782288095, -0.28051762800086055, -0.04238009550372917, 0.10447372439983478] |
709.4369 | Fermionic Zero Modes in Gauge and Gravity Backgrounds on a Sphere | In this letter we study fermionic zero modes in gauge and gravity backgrounds
taking a two dimensional compact manifold $S^2$ as extra dimensions. The result
is that there exist massless Dirac fermions which have normalizable zero modes
under quite general assumptions about these backgrounds on the bulk. Several
special cases of gauge background on the sphere are discussed and some simple
fermionic zero modes are obtained.
| hep-th | in this letter we study fermionic zero modes in gauge and gravity backgrounds taking a two dimensional compact manifold s2 as extra dimensions the result is that there exist massless dirac fermions which have normalizable zero modes under quite general assumptions about these backgrounds on the bulk several special cases of gauge background on the sphere are discussed and some simple fermionic zero modes are obtained | [['in', 'this', 'letter', 'we', 'study', 'fermionic', 'zero', 'modes', 'in', 'gauge', 'and', 'gravity', 'backgrounds', 'taking', 'a', 'two', 'dimensional', 'compact', 'manifold', 's2', 'as', 'extra', 'dimensions', 'the', 'result', 'is', 'that', 'there', 'exist', 'massless', 'dirac', 'fermions', 'which', 'have', 'normalizable', 'zero', 'modes', 'under', 'quite', 'general', 'assumptions', 'about', 'these', 'backgrounds', 'on', 'the', 'bulk', 'several', 'special', 'cases', 'of', 'gauge', 'background', 'on', 'the', 'sphere', 'are', 'discussed', 'and', 'some', 'simple', 'fermionic', 'zero', 'modes', 'are', 'obtained']] | [-0.1939687145676351, 0.24879189339381727, -0.06134529770210837, 0.11032246713611213, -0.0774645023047924, -0.21031099653125487, -0.014885772527618841, 0.34517091495746915, -0.10003406608787675, -0.19935425150800834, 0.09612505668844802, -0.2949418456498251, -0.1469116820354071, 0.1557772089162785, -0.034437693443826654, 0.009547714128116653, 0.033221845754958464, 0.0870211818819922, -0.11178620877520491, -0.29706347682936624, 0.39534410190853203, -0.04171070936277057, 0.2820475378609968, 0.020620168143509407, 0.07808788630151839, -0.02848404022215894, 0.025489027682466036, 0.008191979827312356, -0.14035064889751744, 0.026806426756648405, 0.23794213138436052, 0.006439377200987303, 0.13024784745930723, -0.43277975355246756, -0.2664162604222921, 0.09532954307470584, 0.15528878960476228, 0.12590495412851768, -0.060718935155874176, -0.2896768298479869, 0.048971401689799895, -0.11962068722950238, -0.1712346741061827, -0.12337494556523973, -0.031394608304694746, -0.1512041624501404, -0.19612808390097183, 0.0761379234168227, 0.08473290747144457, 0.05042381452001406, -0.05268748549596322, -0.1486125508319784, -0.05029177760959349, 0.05379921928838347, 0.20062485950730855, -0.003328181372842554, 0.10092067807404832, -0.1198960465188782, -0.10838797347704796, 0.3838078969609783, -0.09758973000288913, -0.3307572291655974, 0.26297904058557114, -0.16052574701395564, -0.17535548478322613, 0.11049047253045226, 0.11866987259550528, 0.12570551963466586, -0.12617261778337485, 0.2160083422363228, -0.08164070499355369, 0.07105223419652744, 0.160289752946207, 0.12022464917566994, 0.2702777612333496, 0.04583407415493363, 0.06250665873945267, 0.093921388845157, -0.026736807325064685, -0.09011702109339902, -0.41658758891351294, -0.1405956151641228, -0.1570048825638933, 0.10979287056464025, -0.09260574513719996, -0.17099855148769688, 0.3803210238305231, 0.07988182164174787, 0.13954101584033307, 0.02493904320925305, 0.22372656287343212, 0.11797443860048203, 0.03538481600469712, 0.054758346106885285, 0.26102726349376043, 0.15863207906879712, 0.024742681233240575, -0.18993893758108077, -0.2035518138366046, 0.061790141301709366] |
709.437 | On Dynamics of Integrate-and-Fire Neural Networks with Conductance Based
Synapses | We present a mathematical analysis of a networks with Integrate-and-Fire
neurons and adaptive conductances. Taking into account the realistic fact that
the spike time is only known within some \textit{finite} precision, we propose
a model where spikes are effective at times multiple of a characteristic time
scale $\delta$, where $\delta$ can be \textit{arbitrary} small (in particular,
well beyond the numerical precision). We make a complete mathematical
characterization of the model-dynamics and obtain the following results. The
asymptotic dynamics is composed by finitely many stable periodic orbits, whose
number and period can be arbitrary large and can diverge in a region of the
synaptic weights space, traditionally called the "edge of chaos", a notion
mathematically well defined in the present paper. Furthermore, except at the
edge of chaos, there is a one-to-one correspondence between the membrane
potential trajectories and the raster plot. This shows that the neural code is
entirely "in the spikes" in this case. As a key tool, we introduce an order
parameter, easy to compute numerically, and closely related to a natural notion
of entropy, providing a relevant characterization of the computational
capabilities of the network. This allows us to compare the computational
capabilities of leaky and Integrate-and-Fire models and conductance based
models. The present study considers networks with constant input, and without
time-dependent plasticity, but the framework has been designed for both
extensions.
| physics.bio-ph math.DS nlin.CD q-bio.NC | we present a mathematical analysis of a networks with integrateandfire neurons and adaptive conductances taking into account the realistic fact that the spike time is only known within some textitfinite precision we propose a model where spikes are effective at times multiple of a characteristic time scale delta where delta can be textitarbitrary small in particular well beyond the numerical precision we make a complete mathematical characterization of the modeldynamics and obtain the following results the asymptotic dynamics is composed by finitely many stable periodic orbits whose number and period can be arbitrary large and can diverge in a region of the synaptic weights space traditionally called the edge of chaos a notion mathematically well defined in the present paper furthermore except at the edge of chaos there is a onetoone correspondence between the membrane potential trajectories and the raster plot this shows that the neural code is entirely in the spikes in this case as a key tool we introduce an order parameter easy to compute numerically and closely related to a natural notion of entropy providing a relevant characterization of the computational capabilities of the network this allows us to compare the computational capabilities of leaky and integrateandfire models and conductance based models the present study considers networks with constant input and without timedependent plasticity but the framework has been designed for both extensions | [['we', 'present', 'a', 'mathematical', 'analysis', 'of', 'a', 'networks', 'with', 'integrateandfire', 'neurons', 'and', 'adaptive', 'conductances', 'taking', 'into', 'account', 'the', 'realistic', 'fact', 'that', 'the', 'spike', 'time', 'is', 'only', 'known', 'within', 'some', 'textitfinite', 'precision', 'we', 'propose', 'a', 'model', 'where', 'spikes', 'are', 'effective', 'at', 'times', 'multiple', 'of', 'a', 'characteristic', 'time', 'scale', 'delta', 'where', 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709.4371 | The Gradient Mechanism in a Communication Network | We study the efficiency of the gradient mechanism of message transfer in a
$2-d$ communication network of regular nodes and randomly distributed hubs.
Each hub on the network is assigned some randomly chosen capacity and hubs with
lower capacities are connected to the hubs with maximum capacity. The average
travel time of single messages traveling on this lattice, plotted as a function
of hub density, shows q-exponential behavior. At high hub densities, this
distribution can be fitted well by a power law. We also study the relaxation
behavior of the network when a large number of messages are created
simultaneously at random locations, and travel on the network towards their
designated destinations. For this situation, in the absence of the gradient
mechanism, the network can show congestion effects due to the formation of
transport traps. We show that if hubs of high betweenness centrality are
connected by the gradient mechanism, efficient decongestion can be achieved.
The gradient mechanism is less prone to the formation of traps than other
decongestion schemes. We also study the spatial configurations of transport
traps, and propose minimal strategies for their elimination.
| physics.soc-ph cond-mat.stat-mech nlin.AO | we study the efficiency of the gradient mechanism of message transfer in a 2d communication network of regular nodes and randomly distributed hubs each hub on the network is assigned some randomly chosen capacity and hubs with lower capacities are connected to the hubs with maximum capacity the average travel time of single messages traveling on this lattice plotted as a function of hub density shows qexponential behavior at high hub densities this distribution can be fitted well by a power law we also study the relaxation behavior of the network when a large number of messages are created simultaneously at random locations and travel on the network towards their designated destinations for this situation in the absence of the gradient mechanism the network can show congestion effects due to the formation of transport traps we show that if hubs of high betweenness centrality are connected by the gradient mechanism efficient decongestion can be achieved the gradient mechanism is less prone to the formation of traps than other decongestion schemes we also study the spatial configurations of transport traps and propose minimal strategies for their elimination | [['we', 'study', 'the', 'efficiency', 'of', 'the', 'gradient', 'mechanism', 'of', 'message', 'transfer', 'in', 'a', '2d', 'communication', 'network', 'of', 'regular', 'nodes', 'and', 'randomly', 'distributed', 'hubs', 'each', 'hub', 'on', 'the', 'network', 'is', 'assigned', 'some', 'randomly', 'chosen', 'capacity', 'and', 'hubs', 'with', 'lower', 'capacities', 'are', 'connected', 'to', 'the', 'hubs', 'with', 'maximum', 'capacity', 'the', 'average', 'travel', 'time', 'of', 'single', 'messages', 'traveling', 'on', 'this', 'lattice', 'plotted', 'as', 'a', 'function', 'of', 'hub', 'density', 'shows', 'qexponential', 'behavior', 'at', 'high', 'hub', 'densities', 'this', 'distribution', 'can', 'be', 'fitted', 'well', 'by', 'a', 'power', 'law', 'we', 'also', 'study', 'the', 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709.4372 | Photon lasing in a GaAs microcavity: similarities with a polariton
condensate | We study experimentally the lasing regime of a GaAs based microcavity sample
under strong optical pumping. The very same sample exhibits the strong coupling
regime at low excitation power with a Rabi splitting as large as 15 meV. We
show that some features which may be considered as experimental evidence of
polariton Bose Einstein condensation are also observed in the weak coupling
regime when the cavity is behaving as a regular photon laser. In particular,
the emission pattern in the lasing regime displays a sharp peak near the energy
minimum followed by a Boltzmann distribution at higher energies.
| cond-mat.mtrl-sci | we study experimentally the lasing regime of a gaas based microcavity sample under strong optical pumping the very same sample exhibits the strong coupling regime at low excitation power with a rabi splitting as large as 15 mev we show that some features which may be considered as experimental evidence of polariton bose einstein condensation are also observed in the weak coupling regime when the cavity is behaving as a regular photon laser in particular the emission pattern in the lasing regime displays a sharp peak near the energy minimum followed by a boltzmann distribution at higher energies | [['we', 'study', 'experimentally', 'the', 'lasing', 'regime', 'of', 'a', 'gaas', 'based', 'microcavity', 'sample', 'under', 'strong', 'optical', 'pumping', 'the', 'very', 'same', 'sample', 'exhibits', 'the', 'strong', 'coupling', 'regime', 'at', 'low', 'excitation', 'power', 'with', 'a', 'rabi', 'splitting', 'as', 'large', 'as', '15', 'mev', 'we', 'show', 'that', 'some', 'features', 'which', 'may', 'be', 'considered', 'as', 'experimental', 'evidence', 'of', 'polariton', 'bose', 'einstein', 'condensation', 'are', 'also', 'observed', 'in', 'the', 'weak', 'coupling', 'regime', 'when', 'the', 'cavity', 'is', 'behaving', 'as', 'a', 'regular', 'photon', 'laser', 'in', 'particular', 'the', 'emission', 'pattern', 'in', 'the', 'lasing', 'regime', 'displays', 'a', 'sharp', 'peak', 'near', 'the', 'energy', 'minimum', 'followed', 'by', 'a', 'boltzmann', 'distribution', 'at', 'higher', 'energies']] | [-0.13388186701982074, 0.2185626650717328, -0.05966128321953726, 0.061981938120063244, 0.007486597315006775, -0.19196928219812714, 0.06060142587152861, 0.41768866352385325, -0.20271164718160065, -0.2839837242583079, 0.019010926959133347, -0.2783727845063015, -0.06793098753242165, 0.21613686660076586, 0.05108147013780414, 0.02635835776549802, 0.029492504552614932, -0.014104074304353217, -0.012138241281903977, -0.12225789718486711, 0.2751331479735292, 0.08859949374609456, 0.3580490891745656, 0.10216321369659212, 0.08869889928313086, -0.056801450080048214, 0.1669252093083092, -0.007935936308503911, -0.10332117790668996, -0.012613382983990774, 0.24507348951218383, -0.061557183151456474, 0.28544464511606765, -0.3610847759129164, -0.21152560624450786, 0.064229883795262, 0.178260668313929, 0.17402206317935026, -0.10312132674212358, -0.2585944290634017, 0.014064559309116128, -0.12179115559069478, -0.14286317222523598, -0.02961476326787046, -0.014532036523391701, 0.02724164311669539, -0.2767449689278265, 0.09266949109750923, 0.06255168761293005, 0.06278211560233363, -0.05092165001420951, -0.04559494292468061, -0.026946815733360698, 0.01329929104261338, -0.0006335168454453958, 0.008430752854518669, 0.1586318436715448, -0.17266727116301048, -0.06972600780284907, 0.3840519025997848, -0.18305763350894713, -0.03632676002702543, 0.17708182490991467, -0.24269155366821404, -0.05680051120592053, 0.19839625317859938, 0.1346972938716098, 0.09750978452419597, -0.08742252393576379, 0.03403562633587969, -0.06537298636739047, 0.19073949494798267, 0.11676610411116284, 0.15552355905481596, 0.22087819422405136, 0.18885240630170672, 0.024996518071892918, 0.1872085202782301, -0.14011443270921556, -0.05521784899566246, -0.3004545067931164, -0.055611638238235395, -0.21672701402757394, 0.08904442615445932, -0.0849311461776723, -0.13491219455110176, 0.3908883257464943, 0.08259915895593752, 0.22098193705386046, 0.04067220510701098, 0.26127169613859486, 0.21237194361830397, 0.06492504936034735, 0.05145071703484472, 0.35217068444347077, 0.13877782397855987, 0.11705565530502675, -0.2952976920475651, -0.011550296981799968, -0.027176366757829577] |
709.4373 | The pre-cataclysmic variable, LTT560 | System parameters of the object LTT560 are determined in order to clarify its
nature and evolutionary status. We apply time-series photometry to reveal
orbital modulations of the light curve, time-series spectroscopy to measure
radial velocities of features from both the primary and the secondary star, and
flux-calibrated spectroscopy to derive temperatures of both components. We find
that LTT560 is composed of a low temperature T~7500K DA white dwarf as the
primary and an M5.5+-1 main-sequence star as the secondary component. The
current orbital period is Porb=3.54(07)h. We derive a mass ratio Msec/Mwd =
0.36(03) and estimate the distance to d=25-40pc. Long-term variation of the
orbital light curve and an additional H-alpha emission component on the white
dwarf indicate activity in the system, probably in the form of flaring and/or
accretion events.
| astro-ph | system parameters of the object ltt560 are determined in order to clarify its nature and evolutionary status we apply timeseries photometry to reveal orbital modulations of the light curve timeseries spectroscopy to measure radial velocities of features from both the primary and the secondary star and fluxcalibrated spectroscopy to derive temperatures of both components we find that ltt560 is composed of a low temperature t7500k da white dwarf as the primary and an m551 mainsequence star as the secondary component the current orbital period is porb35407h we derive a mass ratio msecmwd 03603 and estimate the distance to d2540pc longterm variation of the orbital light curve and an additional halpha emission component on the white dwarf indicate activity in the system probably in the form of flaring andor accretion events | [['system', 'parameters', 'of', 'the', 'object', 'ltt560', 'are', 'determined', 'in', 'order', 'to', 'clarify', 'its', 'nature', 'and', 'evolutionary', 'status', 'we', 'apply', 'timeseries', 'photometry', 'to', 'reveal', 'orbital', 'modulations', 'of', 'the', 'light', 'curve', 'timeseries', 'spectroscopy', 'to', 'measure', 'radial', 'velocities', 'of', 'features', 'from', 'both', 'the', 'primary', 'and', 'the', 'secondary', 'star', 'and', 'fluxcalibrated', 'spectroscopy', 'to', 'derive', 'temperatures', 'of', 'both', 'components', 'we', 'find', 'that', 'ltt560', 'is', 'composed', 'of', 'a', 'low', 'temperature', 't7500k', 'da', 'white', 'dwarf', 'as', 'the', 'primary', 'and', 'an', 'm551', 'mainsequence', 'star', 'as', 'the', 'secondary', 'component', 'the', 'current', 'orbital', 'period', 'is', 'porb35407h', 'we', 'derive', 'a', 'mass', 'ratio', 'msecmwd', '03603', 'and', 'estimate', 'the', 'distance', 'to', 'd2540pc', 'longterm', 'variation', 'of', 'the', 'orbital', 'light', 'curve', 'and', 'an', 'additional', 'halpha', 'emission', 'component', 'on', 'the', 'white', 'dwarf', 'indicate', 'activity', 'in', 'the', 'system', 'probably', 'in', 'the', 'form', 'of', 'flaring', 'andor', 'accretion', 'events']] | [-0.12457523935428652, 0.10853325767794693, -0.1257313927940902, 0.0747401504347971, -0.10153105228444653, -0.06674688438060464, 0.07010129435354324, 0.3953579721025756, -0.23156920846047827, -0.3512534909599201, 0.08975812714817918, -0.3078746330222023, -0.07484240379789463, 0.19741913627405636, -0.08572131448394818, -0.04196015175968241, 0.09628980188653423, 0.004533907733036999, -0.050925218773104984, -0.21446774061500873, 0.3120082873186921, 0.05001827609939043, 0.14542923444981273, -0.02237270336376778, 0.06407743769881057, -0.02058287321773098, -0.08202688429303291, -0.09421168124211617, -0.1233218385188265, 0.042115387281586154, 0.1763548841547282, 0.12328494433313608, 0.13227187968088222, -0.3337924050274076, -0.24546952400600813, 0.04542042316151325, 0.1485088276247433, 0.018007812441372482, -0.022967755553106487, -0.22835690590751465, 0.06164865202144491, -0.16175576845245038, -0.17578596461251317, -0.0012065191203575643, 0.0846624114077355, 0.05882472301390572, -0.26909912762339, 0.09138255647276758, 0.049422773741544454, 0.12339990568293839, -0.17138720773347485, -0.10757888870153454, -0.09065783703241681, 0.11894229630038874, 0.06599450486112905, 0.05794191347496187, 0.1364588929057793, -0.1075182362749684, -0.020724424756452687, 0.363416166847274, -0.14390033361460006, -0.020435415062104872, 0.22168415945908818, -0.1902650549824609, -0.09670265712851628, 0.13189019297524432, 0.2057139506166587, 0.1252994935131311, -0.19711247757916933, -0.060278624411410894, 0.05657861650478645, 0.22062075037325993, 0.010233748120209966, 0.08847948855369306, 0.3448608722537756, 0.12994871985121462, 0.02042739561392275, 0.08484047074176249, -0.2832654434023425, -0.04854796474158275, -0.21712560935678785, -0.11645143403152584, -0.14041992352004393, 0.04682903931682288, -0.08440075970954285, -0.1458939110257159, 0.40594940878198954, 0.10195980508922461, 0.24410792714992507, -0.002583559342950094, 0.3136717642917008, 0.13684888210863405, 0.0523471472195405, 0.09824327705809693, 0.2822550855172401, 0.2227861513689038, 0.10777177339129639, -0.318480199849859, 0.06615032069003363, 0.004074097340010473] |
709.4374 | Lubricated friction between incommensurate substrates | This paper is part of a study of the frictional dynamics of a confined solid
lubricant film - modelled as a one-dimensional chain of interacting particles
confined between two ideally incommensurate substrates, one of which is driven
relative to the other through an attached spring moving at constant velocity.
This model system is characterized by three inherent length scales; depending
on the precise choice of incommensurability among them it displays a strikingly
different tribological behavior. Contrary to two length-scale systems such as
the standard Frenkel-Kontorova (FK) model, for large chain stiffness one finds
that here the most favorable (lowest friction) sliding regime is achieved by
chain-substrate incommensurabilities belonging to the class of non-quadratic
irrational numbers (e.g., the spiral mean). The well-known golden mean
(quadratic) incommensurability which slides best in the standard FK model shows
instead higher kinetic-friction values. The underlying reason lies in the
pinning properties of the lattice of solitons formed by the chain with the
substrate having the closest periodicity, with the other slider.
| cond-mat.mtrl-sci | this paper is part of a study of the frictional dynamics of a confined solid lubricant film modelled as a onedimensional chain of interacting particles confined between two ideally incommensurate substrates one of which is driven relative to the other through an attached spring moving at constant velocity this model system is characterized by three inherent length scales depending on the precise choice of incommensurability among them it displays a strikingly different tribological behavior contrary to two lengthscale systems such as the standard frenkelkontorova fk model for large chain stiffness one finds that here the most favorable lowest friction sliding regime is achieved by chainsubstrate incommensurabilities belonging to the class of nonquadratic irrational numbers eg the spiral mean the wellknown golden mean quadratic incommensurability which slides best in the standard fk model shows instead higher kineticfriction values the underlying reason lies in the pinning properties of the lattice of solitons formed by the chain with the substrate having the closest periodicity with the other slider | [['this', 'paper', 'is', 'part', 'of', 'a', 'study', 'of', 'the', 'frictional', 'dynamics', 'of', 'a', 'confined', 'solid', 'lubricant', 'film', 'modelled', 'as', 'a', 'onedimensional', 'chain', 'of', 'interacting', 'particles', 'confined', 'between', 'two', 'ideally', 'incommensurate', 'substrates', 'one', 'of', 'which', 'is', 'driven', 'relative', 'to', 'the', 'other', 'through', 'an', 'attached', 'spring', 'moving', 'at', 'constant', 'velocity', 'this', 'model', 'system', 'is', 'characterized', 'by', 'three', 'inherent', 'length', 'scales', 'depending', 'on', 'the', 'precise', 'choice', 'of', 'incommensurability', 'among', 'them', 'it', 'displays', 'a', 'strikingly', 'different', 'tribological', 'behavior', 'contrary', 'to', 'two', 'lengthscale', 'systems', 'such', 'as', 'the', 'standard', 'frenkelkontorova', 'fk', 'model', 'for', 'large', 'chain', 'stiffness', 'one', 'finds', 'that', 'here', 'the', 'most', 'favorable', 'lowest', 'friction', 'sliding', 'regime', 'is', 'achieved', 'by', 'chainsubstrate', 'incommensurabilities', 'belonging', 'to', 'the', 'class', 'of', 'nonquadratic', 'irrational', 'numbers', 'eg', 'the', 'spiral', 'mean', 'the', 'wellknown', 'golden', 'mean', 'quadratic', 'incommensurability', 'which', 'slides', 'best', 'in', 'the', 'standard', 'fk', 'model', 'shows', 'instead', 'higher', 'kineticfriction', 'values', 'the', 'underlying', 'reason', 'lies', 'in', 'the', 'pinning', 'properties', 'of', 'the', 'lattice', 'of', 'solitons', 'formed', 'by', 'the', 'chain', 'with', 'the', 'substrate', 'having', 'the', 'closest', 'periodicity', 'with', 'the', 'other', 'slider']] | [-0.17028975855835057, 0.1903380303778204, -0.06183969376631725, 0.014007745711650286, -0.057437971993177024, -0.19443386471485374, 0.01655283924404181, 0.35818762198826415, -0.311766935582129, -0.2823180644068706, 0.04810296877913959, -0.2729991649357993, -0.1364788795651776, 0.1867971503129804, 0.022919673119085254, 0.017187553883424564, 0.006929045731351239, 0.05351054809993294, -0.03868831353072353, -0.20952569558802578, 0.28398516912286004, 0.010797387098226651, 0.2797317580624633, -0.004827409125735155, 0.09094460092967858, 0.009024926865139954, 0.07388730710918474, 0.0249720305595317, -0.16876718526251397, 0.08874773849980377, 0.16825951286429902, -0.07396150858969325, 0.24961145534927462, -0.40124909910890794, -0.19893545068995913, 0.07986943159298396, 0.13350017915685003, 0.08498888769773422, 0.007297886766918739, -0.22428494217779693, 0.024107217493346305, -0.11726153375836733, -0.1868936675025817, 0.013767257871761642, 0.03652516295156085, 0.06264468112868475, -0.2044674372990374, 0.11622506111032432, 0.07737150792210157, 0.0930776957885641, -0.054952813841310545, -0.11012738565612515, -0.0381850685024588, 0.10736065611737654, 0.0848496940150788, 0.04775464747900166, 0.1721684058415301, -0.12417860084894562, -0.0849854403425491, 0.417943937290046, -0.07221116195504704, -0.1843030479043883, 0.242505125139472, -0.14155137202886428, -0.06909470253244594, 0.1528344381885189, 0.11584858966554389, 0.07511946864865927, -0.127886328857714, 0.040429367430876065, -0.048896531033671725, 0.1958022608856863, 0.079891119606471, -0.008468179477746656, 0.2382821857319846, 0.23245730953302557, 0.0352765446310334, 0.16907012655563583, -0.09494409372726093, -0.1571085695083897, -0.2547047368306839, -0.13475979847350605, -0.21657620793651144, 0.010680176331345452, -0.10872917956482896, -0.22320753871750684, 0.3658450170259141, 0.10210144103748574, 0.21062746749153177, 0.03183164446971115, 0.24080215822215434, 0.08479917301066266, 0.07155140542373475, 0.03438379572141042, 0.24592733630956506, 0.12103338883887907, 0.056490886354255546, -0.25094107547372485, 0.07734803050859934, 0.06406848167804398] |
709.4375 | Scaling and Universality in City Space Syntax: between Zipf and Matthew | We report about universality of rank-integration distributions of open spaces
in city space syntax similar to the famous rank-size distributions of cities
(Zipf's law). We also demonstrate that the degree of choice an open space
represents for other spaces directly linked to it in a city follows a power law
statistic. Universal statistical behavior of space syntax measures uncovers the
universality of the city creation mechanism. We suggest that the observed
universality may help to establish the international definition of a city as a
specific land use pattern.
| physics.soc-ph physics.data-an | we report about universality of rankintegration distributions of open spaces in city space syntax similar to the famous ranksize distributions of cities zipfs law we also demonstrate that the degree of choice an open space represents for other spaces directly linked to it in a city follows a power law statistic universal statistical behavior of space syntax measures uncovers the universality of the city creation mechanism we suggest that the observed universality may help to establish the international definition of a city as a specific land use pattern | [['we', 'report', 'about', 'universality', 'of', 'rankintegration', 'distributions', 'of', 'open', 'spaces', 'in', 'city', 'space', 'syntax', 'similar', 'to', 'the', 'famous', 'ranksize', 'distributions', 'of', 'cities', 'zipfs', 'law', 'we', 'also', 'demonstrate', 'that', 'the', 'degree', 'of', 'choice', 'an', 'open', 'space', 'represents', 'for', 'other', 'spaces', 'directly', 'linked', 'to', 'it', 'in', 'a', 'city', 'follows', 'a', 'power', 'law', 'statistic', 'universal', 'statistical', 'behavior', 'of', 'space', 'syntax', 'measures', 'uncovers', 'the', 'universality', 'of', 'the', 'city', 'creation', 'mechanism', 'we', 'suggest', 'that', 'the', 'observed', 'universality', 'may', 'help', 'to', 'establish', 'the', 'international', 'definition', 'of', 'a', 'city', 'as', 'a', 'specific', 'land', 'use', 'pattern']] | [-0.09701517545457544, 0.11381405450275901, -0.16936114340908184, 0.18726284187501188, -0.12067444496199317, -0.11527525972917504, 0.1163058019746309, 0.31320447979987354, -0.2867560200286151, -0.3076303756913577, 0.03330769249901775, -0.27117412985869865, -0.16160392399406295, 0.20319044917564968, -0.13642141313945083, 0.046596379244122015, -0.010214028558854399, 0.006258532576177312, -0.017069089563627696, -0.19393277928318786, 0.35501632933644045, 0.041450369310961376, 0.36349013539823305, 0.0536046182581534, 0.08795353597372599, -0.057255521416664124, -0.05353632881894879, -0.0019517182650167666, -0.13200514147612774, 0.1472117089339928, 0.27475380946764316, 0.20136066421266946, 0.2488086817828917, -0.31944911560209616, -0.21027695565837726, 0.10380756799880972, 0.11970604145257123, 0.015828542240049648, 0.0036095936525741526, -0.2925021284977081, 0.026788501921993006, -0.19471322843452366, -0.22635930300564452, -0.04879867031784921, 0.07235917801722541, 0.02754961387869827, -0.20461688890796284, 0.06484574361820705, 0.08972619519429817, 0.10980479970531559, -0.039867284201920546, -0.07791794943034477, -0.013443822287365624, 0.17185536072985536, 0.03564751883647565, -0.0031436123863804615, 0.13736147557160464, -0.1003990484717377, -0.1649320737576519, 0.4003963270278155, -0.0011166902151943624, -0.1432465177200649, 0.1541858953798468, -0.2234866539680067, -0.19970088944524184, 0.008748675444987655, 0.1876251238061051, 0.004552541748418516, -0.1382140919309238, 0.04305915771073651, -0.10151616591711304, 0.1720001911289519, 0.04910926527247347, 0.0034066910866176947, 0.20346164732272254, 0.2081089840944985, 0.08287732497970948, 0.16550162812526306, -0.059241958390707256, -0.15548383410693542, -0.31859829297139386, -0.18737634922238602, -0.18158957860486089, 0.03641424755747805, -0.1361495971347837, -0.1992206250868695, 0.40214177596265044, 0.16236690671504983, 0.18869237868307992, 0.1066897491116248, 0.15294967339127913, 0.04515984581499735, 0.07837010998193217, 0.05991955913185816, 0.11921393588699143, 0.0413137380590384, 0.17521174829292657, -0.15291762692939448, 0.132710262571044, 0.07911482008024194] |
709.4376 | On Gauss-Bonnet Curvatures | The $(2k)$-th Gauss-Bonnet curvature is a generalization to higher dimensions
of the $(2k)$-dimensional Gauss-Bonnet integrand, it coincides with the usual
scalar curvature for $k=1$. The Gauss-Bonnet curvatures are used in theoretical
physics to describe gravity in higher dimensional space times where they are
known as the Lagrangian of Lovelock gravity, Gauss-Bonnet Gravity and Lanczos
gravity. In this paper we present various aspects of these curvature invariants
and review their variational properties. In particular, we discuss natural
generalizations of the Yamabe problem, Einstein metrics and minimal
submanifolds.
| math.DG gr-qc math-ph math.MP | the 2kth gaussbonnet curvature is a generalization to higher dimensions of the 2kdimensional gaussbonnet integrand it coincides with the usual scalar curvature for k1 the gaussbonnet curvatures are used in theoretical physics to describe gravity in higher dimensional space times where they are known as the lagrangian of lovelock gravity gaussbonnet gravity and lanczos gravity in this paper we present various aspects of these curvature invariants and review their variational properties in particular we discuss natural generalizations of the yamabe problem einstein metrics and minimal submanifolds | [['the', '2kth', 'gaussbonnet', 'curvature', 'is', 'a', 'generalization', 'to', 'higher', 'dimensions', 'of', 'the', '2kdimensional', 'gaussbonnet', 'integrand', 'it', 'coincides', 'with', 'the', 'usual', 'scalar', 'curvature', 'for', 'k1', 'the', 'gaussbonnet', 'curvatures', 'are', 'used', 'in', 'theoretical', 'physics', 'to', 'describe', 'gravity', 'in', 'higher', 'dimensional', 'space', 'times', 'where', 'they', 'are', 'known', 'as', 'the', 'lagrangian', 'of', 'lovelock', 'gravity', 'gaussbonnet', 'gravity', 'and', 'lanczos', 'gravity', 'in', 'this', 'paper', 'we', 'present', 'various', 'aspects', 'of', 'these', 'curvature', 'invariants', 'and', 'review', 'their', 'variational', 'properties', 'in', 'particular', 'we', 'discuss', 'natural', 'generalizations', 'of', 'the', 'yamabe', 'problem', 'einstein', 'metrics', 'and', 'minimal', 'submanifolds']] | [-0.20154789104234688, 0.09199795425804548, -0.051862529706383165, 0.14301069294167465, -0.14762013732065815, -0.17416304541037006, -0.11796279492122012, 0.26640075356916115, -0.19387234841625012, -0.25970885670895494, 0.08805226101973203, -0.29165209938100606, -0.2037503088954403, 0.1321149205918922, -0.15136663415360935, 0.039575497435709074, -0.054749947788497046, 0.09367928083249649, -0.13034914069684483, -0.31539701826350636, 0.41789389906321156, 0.022649231577985162, 0.1771837611152076, 0.09255420235202236, 0.0835271221856305, -0.08863129562070203, 0.014161623386276323, 0.08481501540213791, -0.2530833788752166, 0.11396747988751592, 0.21224834791622882, 0.0646626761340168, 0.18347926894852587, -0.38789891951912364, -0.27989514754695255, 0.1034222490189402, 0.08064905563531834, 0.09868832414043895, -0.006419516385121401, -0.27749164886556044, 0.04094976486724823, -0.13118728862663862, -0.13612546332093867, -0.13126141733359978, 0.004579724484058314, -0.08805038387952156, -0.1505589799489826, 0.09772362043474649, 0.046054661068198985, 0.000800179188487629, -0.06987356412939208, -0.14392746088289937, -0.03737528578020892, 0.03875348548036675, 0.16530024523164558, 0.04251726241890601, 0.08289227139497132, -0.13699282214715927, -0.11551323461178474, 0.4202960902868315, -0.16942821159352398, -0.2967707570750526, 0.1375573963132622, -0.17356632849158243, -0.19325844532008782, 0.036617352778828424, 0.14378375650470165, 0.22847586153833152, -0.10644776580941885, 0.20756291998022366, 0.04544102487175963, 0.05353951447664998, 0.16625361635923647, 0.07231349154202224, 0.21794130949866633, 0.043601476118986515, 0.0814951837528497, 0.1538204923272133, -0.013080149723844992, -0.11133771889496508, -0.3984373694632289, -0.2722820177685123, -0.14393882482410084, 0.09780138658175548, -0.22503282414525233, -0.16472782318610266, 0.3724673087113039, 0.11233179742500164, 0.08519347420308826, 0.14769224760794017, 0.25929718283763115, 0.07477992854140655, 0.03995759271594241, 0.082092291951656, 0.2851880754203384, 0.22222368823104474, 0.10226993702438682, -0.2055665132424491, -0.11891203447310038, 0.19914175356673294] |
709.4377 | Importance of hydrodynamic shielding for the dynamic behavior of short
polyelectrolyte chains | The dynamic behavior of polyelectrolyte chains in the oligomer range is
investigated with coarse-grained molecular dynamics simulation and compared to
data obtained by two different experimental methods, namely capillary
electrophoresis and electrophoresis NMR. We find excellent agreement of
experiments and simulations when hydrodynamic interactions are accounted for in
the simulations. We show that the electrophoretic mobility exhibits a maximum
in the oligomer range and for the first time illustrate that this maximum is
due to the hydrodynamical shielding between the chain monomers. Our findings
demonstrate convincingly that it is possible to model dynamic behavior of
polyelectrolytes using coarse grained models for both, the polyelectrolyte
chains and the solvent induced hydrodynamic interactions.
| cond-mat.soft | the dynamic behavior of polyelectrolyte chains in the oligomer range is investigated with coarsegrained molecular dynamics simulation and compared to data obtained by two different experimental methods namely capillary electrophoresis and electrophoresis nmr we find excellent agreement of experiments and simulations when hydrodynamic interactions are accounted for in the simulations we show that the electrophoretic mobility exhibits a maximum in the oligomer range and for the first time illustrate that this maximum is due to the hydrodynamical shielding between the chain monomers our findings demonstrate convincingly that it is possible to model dynamic behavior of polyelectrolytes using coarse grained models for both the polyelectrolyte chains and the solvent induced hydrodynamic interactions | [['the', 'dynamic', 'behavior', 'of', 'polyelectrolyte', 'chains', 'in', 'the', 'oligomer', 'range', 'is', 'investigated', 'with', 'coarsegrained', 'molecular', 'dynamics', 'simulation', 'and', 'compared', 'to', 'data', 'obtained', 'by', 'two', 'different', 'experimental', 'methods', 'namely', 'capillary', 'electrophoresis', 'and', 'electrophoresis', 'nmr', 'we', 'find', 'excellent', 'agreement', 'of', 'experiments', 'and', 'simulations', 'when', 'hydrodynamic', 'interactions', 'are', 'accounted', 'for', 'in', 'the', 'simulations', 'we', 'show', 'that', 'the', 'electrophoretic', 'mobility', 'exhibits', 'a', 'maximum', 'in', 'the', 'oligomer', 'range', 'and', 'for', 'the', 'first', 'time', 'illustrate', 'that', 'this', 'maximum', 'is', 'due', 'to', 'the', 'hydrodynamical', 'shielding', 'between', 'the', 'chain', 'monomers', 'our', 'findings', 'demonstrate', 'convincingly', 'that', 'it', 'is', 'possible', 'to', 'model', 'dynamic', 'behavior', 'of', 'polyelectrolytes', 'using', 'coarse', 'grained', 'models', 'for', 'both', 'the', 'polyelectrolyte', 'chains', 'and', 'the', 'solvent', 'induced', 'hydrodynamic', 'interactions']] | [-0.11804508438400992, 0.12805891973344055, -0.0682306927639303, 0.03986477706925356, 0.046661425393435534, -0.14248065012381286, -0.01005220809649374, 0.42091720653613945, -0.24658530758932937, -0.2995520852808211, 0.03131611405364196, -0.3053912220539542, -0.1571663208977059, 0.167661235284958, 0.06748267738903696, 0.060192986173337105, 0.11182432415316233, -0.05075827959992059, -0.01889011322841602, -0.1685296837282409, 0.21685271105217235, 0.1033948550864987, 0.29433301742280926, 0.13573080722897038, 0.11026021339280347, -0.02052041089900576, 0.031254731624194225, 0.09541710700235657, -0.21964987703311406, 0.07678162458830991, 0.23485936403111582, -0.0071662646626030006, 0.19572115434451146, -0.48292681730041903, -0.26510705734259105, 0.043422518319005635, 0.1618798066052264, 0.1724292419070529, -0.06063241099619919, -0.2479163238543782, 0.10341309251783935, -0.16530251444258667, -0.07496457228537749, -0.10350301232700748, 0.0009431038135746578, 0.10997371820298754, -0.274608587904892, 0.1297260293430808, 0.014478179445775511, 0.09689907194324979, -0.09383868332532747, -0.08208647783140878, -0.03810982064444672, 0.13223688331404324, 0.08217570664969939, -0.04576059037752382, 0.21379934594471445, -0.1269820440866825, -0.08230461385772303, 0.40400418483123585, -0.0726073016894998, -0.18794147664395808, 0.2735742288180166, -0.1415917998775504, -0.07942157385866619, 0.15500908895387305, 0.10072398484424427, 0.10960504951727418, -0.15118240038636205, 0.023529681827566745, -0.036170989486833546, 0.21907256267805425, 0.025731062579497293, -0.08354849115005948, 0.1759299362992851, 0.24773074584794944, -0.039354574812055974, 0.1564128249715846, -0.09722448699386069, -0.17850014380324078, -0.19843218020983627, -0.14257418863508883, -0.19475060461407845, -0.02586576200786743, -0.13595618544550725, -0.13577326744173965, 0.33632268179375846, 0.19514282364981136, 0.1639004497167965, 0.11320607033600141, 0.25912776676652666, 0.008930427346353393, 0.018965398355781496, -0.0033999337932212395, 0.23692442740204636, 0.11042928771820625, 0.10927491375824085, -0.33082272392185824, 0.08222185589817797, 0.023339142427184024] |
709.4378 | Lepton Mass Effects in Single Pion Production by Neutrinos | We reconsider the Feynman-Kislinger-Ravndal model applied to
neutrino-excitation of baryon resonances. The effects of lepton mass are
included, using the formalism of Kuzmin, Lyubushkin and Naumov. In addition we
take account of the pion-pole contribution to the hadronic axial vector
current. Application of this new formalism to the reaction nu(mu) + p --> mu +
Delta at E(nu) approx 1 GeV gives a suppressed cross section at small angles,
in agreement with the screening correction in Adler's forward scattering
theorem. Application to the process nu(tau) + p --> tau + Delta at E(nu) approx
7 GeV leads to the prediction of right-handed tau polarization for
forward-going leptons, in line with a calculation based on an isobar model. Our
formalism represents an improved version of the Rein-Sehgal model,
incorporating lepton mass effects in a manner consistent with PCAC.
| hep-ph | we reconsider the feynmankislingerravndal model applied to neutrinoexcitation of baryon resonances the effects of lepton mass are included using the formalism of kuzmin lyubushkin and naumov in addition we take account of the pionpole contribution to the hadronic axial vector current application of this new formalism to the reaction numu p mu delta at enu approx 1 gev gives a suppressed cross section at small angles in agreement with the screening correction in adlers forward scattering theorem application to the process nutau p tau delta at enu approx 7 gev leads to the prediction of righthanded tau polarization for forwardgoing leptons in line with a calculation based on an isobar model our formalism represents an improved version of the reinsehgal model incorporating lepton mass effects in a manner consistent with pcac | [['we', 'reconsider', 'the', 'feynmankislingerravndal', 'model', 'applied', 'to', 'neutrinoexcitation', 'of', 'baryon', 'resonances', 'the', 'effects', 'of', 'lepton', 'mass', 'are', 'included', 'using', 'the', 'formalism', 'of', 'kuzmin', 'lyubushkin', 'and', 'naumov', 'in', 'addition', 'we', 'take', 'account', 'of', 'the', 'pionpole', 'contribution', 'to', 'the', 'hadronic', 'axial', 'vector', 'current', 'application', 'of', 'this', 'new', 'formalism', 'to', 'the', 'reaction', 'numu', 'p', 'mu', 'delta', 'at', 'enu', 'approx', '1', 'gev', 'gives', 'a', 'suppressed', 'cross', 'section', 'at', 'small', 'angles', 'in', 'agreement', 'with', 'the', 'screening', 'correction', 'in', 'adlers', 'forward', 'scattering', 'theorem', 'application', 'to', 'the', 'process', 'nutau', 'p', 'tau', 'delta', 'at', 'enu', 'approx', '7', 'gev', 'leads', 'to', 'the', 'prediction', 'of', 'righthanded', 'tau', 'polarization', 'for', 'forwardgoing', 'leptons', 'in', 'line', 'with', 'a', 'calculation', 'based', 'on', 'an', 'isobar', 'model', 'our', 'formalism', 'represents', 'an', 'improved', 'version', 'of', 'the', 'reinsehgal', 'model', 'incorporating', 'lepton', 'mass', 'effects', 'in', 'a', 'manner', 'consistent', 'with', 'pcac']] | [-0.07665331888165383, 0.18254632771845536, -0.063655225123739, 0.11932199308792235, -0.0327872194829979, -0.12618660716179875, 0.06301607277146104, 0.2973923386671231, -0.17915432010340737, -0.28726704790460644, -0.0846418026203537, -0.3202033727629896, 0.01276381233765278, 0.13574617840458814, 0.04913168555503944, 0.04236010109525523, 0.056921396924735745, -0.0035816107993014157, -0.048543053002504166, -0.16249877283166825, 0.26811226653080666, 0.0640110809035832, 0.19899843923485605, 0.13544059543755793, 0.05067397688117126, 0.05822484022428398, -0.06501300409331634, -0.0804149984032847, -0.149998161727126, 0.044567489698238205, 0.1741847308276192, 0.029410432676684195, 0.1116407877743768, -0.3531130707997363, -0.10384218284889357, 0.11758204780562664, 0.14162211627080978, 0.09065725221807952, -0.02473906107206858, -0.2945316642326361, 0.10373869298564387, -0.21952554225572385, -0.16523763854638673, -0.043118605975905666, 0.010857299204417359, -0.10361215357625042, -0.37766857978385815, 0.13130329352497938, 0.010628577305396902, -0.0033271633874392137, -0.036792509719816735, -0.22932968376699137, -0.0021710446180804865, 0.0009027012310980354, 0.13137773435551026, 0.10816699140127639, 0.13467096766726172, -0.11439807184797246, -0.13149850842455635, 0.39261187760712346, -0.10389213857342838, -0.19052298794849776, 0.06532471603168233, -0.17555666141379334, -0.16500179945251148, 0.1650156855248497, 0.20156894636420475, 0.061677143143242574, -0.16250884438341018, 0.13279391380046945, -0.02150130479094514, 0.13814766665745992, 0.0653693287877104, -0.014392165489482522, 0.1798458200028108, 0.21113849901303183, -0.012632591065994347, 0.03570979136202368, -0.13882198183819128, -0.035125556169077754, -0.41694234948954545, -0.10009785001906835, -0.07042424481005582, 0.09932341909916431, -0.07024243504554306, -0.08497957630288511, 0.3648089510606951, 0.12853281624484225, 0.26741542493982706, 0.04332556693225342, 0.3119894927222049, 0.13195167343337744, 0.07687727785378229, 0.028150664507847978, 0.2741070170086459, 0.22288671776186675, 0.1463411906715919, -0.25719949049562274, 0.008680004397319863, 0.06115601578130736] |
709.4379 | Spin-liquid dynamics of pyrochlore magnets Gd2Ti2O7 and Gd2Sn2O7 | The spin-liquid phase of two highly frustrated pyrochlore magnets Gd2Ti2O7
and Gd2Sn2O7 is probed using electron spin resonance in the temperature range
1.3 - 30 K. The deviation of the absorption line from the paramagnetic position
\nu =\gamma H observed in both compounds below the Curie-Weiss temperature
\Theta_CW ~ 10 K, suggests an opening up of a gap in the excitation spectra. On
cooling to 1.3 K (which is above the ordering transition T_N ~ 1.0 K) the
resonance spectrum is transformed into a wide band of excitations with the gap
amounting to \Delta ~ 26 GHz (1.2 K) in Gd2Ti2O7 and 18 GHz (0.8 K) in
Gd2Sn2O7. The gaps increase linearly with the external magnetic field. For
Gd2Ti2O7 this branch co-exists with an additional nearly paramagnetic line
absent in Gd2Sn2O7. These low lying excitations with gaps, which are preformed
in the spin-liquid state, may be interpreted as collective spin modes split by
the single-ion anisotropy.
| cond-mat.str-el cond-mat.mtrl-sci | the spinliquid phase of two highly frustrated pyrochlore magnets gd2ti2o7 and gd2sn2o7 is probed using electron spin resonance in the temperature range 13 30 k the deviation of the absorption line from the paramagnetic position nu gamma h observed in both compounds below the curieweiss temperature theta_cw 10 k suggests an opening up of a gap in the excitation spectra on cooling to 13 k which is above the ordering transition t_n 10 k the resonance spectrum is transformed into a wide band of excitations with the gap amounting to delta 26 ghz 12 k in gd2ti2o7 and 18 ghz 08 k in gd2sn2o7 the gaps increase linearly with the external magnetic field for gd2ti2o7 this branch coexists with an additional nearly paramagnetic line absent in gd2sn2o7 these low lying excitations with gaps which are preformed in the spinliquid state may be interpreted as collective spin modes split by the singleion anisotropy | [['the', 'spinliquid', 'phase', 'of', 'two', 'highly', 'frustrated', 'pyrochlore', 'magnets', 'gd2ti2o7', 'and', 'gd2sn2o7', 'is', 'probed', 'using', 'electron', 'spin', 'resonance', 'in', 'the', 'temperature', 'range', '13', '30', 'k', 'the', 'deviation', 'of', 'the', 'absorption', 'line', 'from', 'the', 'paramagnetic', 'position', 'nu', 'gamma', 'h', 'observed', 'in', 'both', 'compounds', 'below', 'the', 'curieweiss', 'temperature', 'theta_cw', '10', 'k', 'suggests', 'an', 'opening', 'up', 'of', 'a', 'gap', 'in', 'the', 'excitation', 'spectra', 'on', 'cooling', 'to', '13', 'k', 'which', 'is', 'above', 'the', 'ordering', 'transition', 't_n', '10', 'k', 'the', 'resonance', 'spectrum', 'is', 'transformed', 'into', 'a', 'wide', 'band', 'of', 'excitations', 'with', 'the', 'gap', 'amounting', 'to', 'delta', '26', 'ghz', '12', 'k', 'in', 'gd2ti2o7', 'and', '18', 'ghz', '08', 'k', 'in', 'gd2sn2o7', 'the', 'gaps', 'increase', 'linearly', 'with', 'the', 'external', 'magnetic', 'field', 'for', 'gd2ti2o7', 'this', 'branch', 'coexists', 'with', 'an', 'additional', 'nearly', 'paramagnetic', 'line', 'absent', 'in', 'gd2sn2o7', 'these', 'low', 'lying', 'excitations', 'with', 'gaps', 'which', 'are', 'preformed', 'in', 'the', 'spinliquid', 'state', 'may', 'be', 'interpreted', 'as', 'collective', 'spin', 'modes', 'split', 'by', 'the', 'singleion', 'anisotropy']] | [-0.18828818504698575, 0.29157276742185595, 0.0195598244731388, -0.0029179832184270615, -0.019750350976353633, -0.1460421874959904, 0.10170160422460053, 0.39042045010596904, -0.25091703612959365, -0.360509764688016, 0.024688254543243124, -0.35639073123150555, 0.024124490311614386, 0.14779247455360173, 0.13266556914957045, -0.05082788310736712, -0.07163829339735553, 0.01993995882405311, -0.0910055460714686, -0.15762957026814356, 0.2215217876517655, 0.01758575241557848, 0.25268699903972447, 0.06705691088848796, -0.00549370295668364, -0.024622317944273452, 0.16770692446612215, -0.007540416041401362, -0.14946532162139192, 0.009237714163885502, 0.30682206063035045, -0.0942359780877412, 0.16096270941259144, -0.3022754962531556, -0.1815417077649679, 0.033604808799665126, 0.15768930841372103, 0.06973536963127308, -0.0012515463550746638, -0.2854925194926756, 0.038384166670240166, -0.12871879222190105, -0.13489282349933332, -0.053036801544581784, -0.021050450847772146, -0.050419425444775505, -0.24023592534573063, 0.14547432534163818, 0.09573560722300929, 0.1774163709487766, -0.11648442346210543, -0.21894034693985687, -0.07020745890545904, 0.005592921007375576, 0.03072618128345838, 0.1128864734254373, 0.13916848632997195, -0.09418005167083864, -0.11742692242535811, 0.3370606170195204, -0.11129296455213702, 0.013253493079805355, 0.15589478488178238, -0.24612573582654526, -0.07990019804090384, 0.29853253889412273, 0.08581852372184298, 0.06877675057866757, -0.10131347643235993, 0.08962169671710733, -0.00276741388523461, 0.2402157243547998, 0.041293756567603465, 0.053992438097913306, 0.27381660319913764, 0.13688380559937, 0.04829090181431782, 0.1527296206630509, -0.1753858282953795, -0.047669938629137744, -0.2315692538709539, -0.10802763992136247, -0.21997852967806944, 0.09270699443234327, -0.08170903558321267, -0.12938773440883347, 0.36064198836615297, 0.09483180020546761, 0.24646787698944345, -0.06214441970070383, 0.16730638985877463, 0.08821962496777384, 0.07816023086075131, 0.09079324113094787, 0.26893787761218846, 0.2193300388523647, 0.12798301035256468, -0.280623595979322, -0.021082343720512365, -0.08089594902642268] |
709.438 | Discovery of the candidate pulsar wind nebula HESS J1718-385 in
very-high-energy gamma-rays | Motivated by recent detections of pulsar wind nebulae in very-high-energy
(VHE) gamma rays, a systematic search for VHE gamma-ray sources associated with
energetic pulsars was performed, using data obtained with the H.E.S.S. (High
Energy Stereoscopic System) instrument. The search for VHE gamma-ray sources
near the pulsar PSR J1718-3825 revealed the new VHE gamma-ray source HESS
J1718-385. We report on the results from the HESS data analysis of this source
and on possible associations with the pulsar and at other wavelengths. We
investigate the energy spectrum of HESS J1718-385 that shows a clear peak. This
is only the second time a VHE gamma-ray spectral maximum from a cosmic source
was observed, the first being the Vela X pulsar wind nebula.
| astro-ph | motivated by recent detections of pulsar wind nebulae in veryhighenergy vhe gamma rays a systematic search for vhe gammaray sources associated with energetic pulsars was performed using data obtained with the hess high energy stereoscopic system instrument the search for vhe gammaray sources near the pulsar psr j17183825 revealed the new vhe gammaray source hess j1718385 we report on the results from the hess data analysis of this source and on possible associations with the pulsar and at other wavelengths we investigate the energy spectrum of hess j1718385 that shows a clear peak this is only the second time a vhe gammaray spectral maximum from a cosmic source was observed the first being the vela x pulsar wind nebula | [['motivated', 'by', 'recent', 'detections', 'of', 'pulsar', 'wind', 'nebulae', 'in', 'veryhighenergy', 'vhe', 'gamma', 'rays', 'a', 'systematic', 'search', 'for', 'vhe', 'gammaray', 'sources', 'associated', 'with', 'energetic', 'pulsars', 'was', 'performed', 'using', 'data', 'obtained', 'with', 'the', 'hess', 'high', 'energy', 'stereoscopic', 'system', 'instrument', 'the', 'search', 'for', 'vhe', 'gammaray', 'sources', 'near', 'the', 'pulsar', 'psr', 'j17183825', 'revealed', 'the', 'new', 'vhe', 'gammaray', 'source', 'hess', 'j1718385', 'we', 'report', 'on', 'the', 'results', 'from', 'the', 'hess', 'data', 'analysis', 'of', 'this', 'source', 'and', 'on', 'possible', 'associations', 'with', 'the', 'pulsar', 'and', 'at', 'other', 'wavelengths', 'we', 'investigate', 'the', 'energy', 'spectrum', 'of', 'hess', 'j1718385', 'that', 'shows', 'a', 'clear', 'peak', 'this', 'is', 'only', 'the', 'second', 'time', 'a', 'vhe', 'gammaray', 'spectral', 'maximum', 'from', 'a', 'cosmic', 'source', 'was', 'observed', 'the', 'first', 'being', 'the', 'vela', 'x', 'pulsar', 'wind', 'nebula']] | [-0.07778783815623332, 0.12382495275281855, -0.04641342897774229, 0.16931233816377098, -0.20536742789843002, -0.07915992558221607, 0.06978796201781566, 0.46069761909575774, -0.19183024790058764, -0.3844566603637293, -0.02876819028937798, -0.35889153487729925, 0.050589346643850334, 0.326323261167541, 0.009011309243691694, -0.017622909500819295, 0.22089541155625791, -0.07339526693524495, 0.032580084395849244, -0.16098070570156214, 0.22207281371273352, 0.2525017466709143, 0.13783096606616213, 0.05560268364658877, 0.14717284455981514, -0.11776697719880544, -0.05011247037841445, -0.12107151184434525, -0.07107418302688484, 0.09376517348891485, 0.2416259098715861, 0.15002918651155314, 0.1024839512283812, -0.2901790026544022, -0.28643694836274575, 0.10509739219829314, 0.11291471837741957, -0.10340103035902276, -0.05961939197291909, -0.40760878269255413, 0.015746978909841607, -0.2514845941356626, -0.1894007999833454, 0.16012128587311306, -0.00469908636345082, 0.10763898774778016, -0.10408965407424614, 0.05839499293928262, -0.048754063419246374, 0.09208929037847438, -0.19881340529096603, -0.08814456726584834, 0.062062708547479715, -0.01600858974544441, 0.10624533940689686, 0.0934154764365624, 0.05300197488419954, -0.1313931453002601, -0.16185639172541996, 0.3816255744891006, -0.0041566422001748276, 0.04667823476826444, 0.1940013472883015, -0.27876536152521225, -0.3169510527318265, 0.23670973249969363, 0.12234426171620603, 0.05862631072571987, -0.20277497735062316, 0.07322771190920015, -0.00998521180228651, 0.24887280579863758, 0.03800490338104863, 0.01683303861714461, 0.3038332686219521, 0.16550661825199275, 0.07236701008245475, 0.1860623476159086, -0.4039508754181081, 0.0807603724851633, -0.28038367719835594, -0.04390359931320202, -0.23772699931174704, 0.16659902754736705, -0.09138988388849993, -0.09083842990837772, 0.43992484636416956, 0.06507855048794456, 0.12789213379547626, -0.02867951599818443, 0.3140036079312573, 0.11904707726310282, -0.02952769904655694, 0.17432172326058024, 0.40043945918877083, 0.07977404590195217, 0.19833465946540862, -0.1700222987758422, 0.09375881704310064, -0.04903379815607136] |
709.4381 | Un th\'eor\`eme de Helson pour des s\'eries de Walsh | Extension to Walsh series of theorems of Helson and Katznelson on
trigonometric series, saying that a trigonometric series whose partial sums are
positive has its coefficients tend to zero but is not necessarily a
Fourier-Lebesgue series
| math.CA | extension to walsh series of theorems of helson and katznelson on trigonometric series saying that a trigonometric series whose partial sums are positive has its coefficients tend to zero but is not necessarily a fourierlebesgue series | [['extension', 'to', 'walsh', 'series', 'of', 'theorems', 'of', 'helson', 'and', 'katznelson', 'on', 'trigonometric', 'series', 'saying', 'that', 'a', 'trigonometric', 'series', 'whose', 'partial', 'sums', 'are', 'positive', 'has', 'its', 'coefficients', 'tend', 'to', 'zero', 'but', 'is', 'not', 'necessarily', 'a', 'fourierlebesgue', 'series']] | [-0.18181213655690145, 0.009695869171991944, -0.17202673780007494, 0.022401346323830593, -0.1431007526245796, -0.11875147735958712, 0.024162818176490772, 0.34730215339610976, -0.3255017577515294, -0.1340369371076425, 0.2075811040122062, -0.3374079927388165, -0.13277665649851164, 0.2682624240923259, -0.12786495118376073, 0.06817331348591121, 0.015104665304534137, 0.06870941484036545, -0.09323641664943555, -0.36504021224876243, 0.2565497084934678, -0.039909697603434324, 0.12872429971402097, -0.002348245328499211, 0.10826792381703854, -0.05765563364709831, -0.11902862339694467, -0.044144497666921884, -0.07543315264471555, 0.1358961280590544, 0.2593700683210045, 0.041245094953208335, 0.3082203450095322, -0.33664276147545835, -0.12407851851053743, 0.16444105634258854, 0.16374064597766846, -0.02877888326636619, 0.06650508761069635, -0.24352851228064132, 0.054364509544231825, -0.16537673504919642, -0.13485458035332462, -0.16625736376995015, 0.09232837810284561, 0.10627804872476393, -0.3430314857331622, 0.10592928611569935, 0.16401156162222227, 0.1111310108163808, -0.02240933476261691, -0.17414550853168798, 0.050769308232702315, 0.0656581038945458, 0.05121497734216973, 0.022985446431751672, -0.021409982815384865, 0.03806905326847401, -0.12160088022291246, 0.33487748010601437, -0.13114983993647103, -0.2732466434439023, 0.1800947301865866, -0.2927108980560054, -0.195803591916855, 0.14635340952210957, 0.09605259130087991, 0.11741418841605385, -0.08128383520266248, 0.12319254321401887, -0.1337682905399965, 0.11466031309424175, 0.18761597800120297, -0.0003282793978643086, 0.17087563706768882, -0.07792396910695566, 0.0732104957698741, 0.06429766226857384, 0.08353345942709388, -0.05921109491545293, -0.3049034407983224, -0.16834406482262743, -0.25436041690409184, 0.1399898882247928, -0.04600335446472551, -0.3112091582734138, 0.3520194587504698, -0.03322905907407403, 0.18555663853314602, 0.15846654356250334, 0.1462614788259897, 0.189979162093045, 0.06865442848195219, -0.012753599543227918, 0.07097764156707045, 0.23371065094316792, 0.10153999227461302, -0.10101457958161417, 0.0626402772937177, 0.20446002040989697] |
709.4382 | Hasard et d\'eterminisme chez Laplace | Laplace's views on randomness and determinism. The paper was written for
"Cahiers rationalistes" and addresses a rather wide audience. It contains large
quotations of Laplace, most of them coming from his introduction to the book
"Analytical theory of probabilities".
| math.HO | laplaces views on randomness and determinism the paper was written for cahiers rationalistes and addresses a rather wide audience it contains large quotations of laplace most of them coming from his introduction to the book analytical theory of probabilities | [['laplaces', 'views', 'on', 'randomness', 'and', 'determinism', 'the', 'paper', 'was', 'written', 'for', 'cahiers', 'rationalistes', 'and', 'addresses', 'a', 'rather', 'wide', 'audience', 'it', 'contains', 'large', 'quotations', 'of', 'laplace', 'most', 'of', 'them', 'coming', 'from', 'his', 'introduction', 'to', 'the', 'book', 'analytical', 'theory', 'of', 'probabilities']] | [-0.09251252673321257, 0.03233858509644817, -0.1114665207845208, 0.10709338312000527, -0.17962390297141514, -0.14306289096068786, 0.08111487420913029, 0.26768541654669925, -0.25165112543618307, -0.3121932984182709, 0.09456726371947873, -0.3263223711401224, -0.13724639938261948, 0.19390887426408498, -0.17420779033809117, 0.0003655785112641752, 0.04820309491141846, 0.036592228387139346, -0.020542348171339223, -0.27064641584691246, 0.326034153480769, 0.03287872549844906, 0.24509648478737003, 0.058519743885354775, 0.11322461579823682, 0.06973841356260604, -0.13759786096833473, -0.00017268877280385872, -0.12833975900062605, 0.18755450697713777, 0.3129801133059357, 0.22723520036762287, 0.32493963739589643, -0.4294003268801852, -0.13349297284883888, 0.003484415435722392, 0.054933244656575356, 0.13541397435198488, 0.032355283518738454, -0.32970960497071866, 0.008406778258320532, -0.18194737403016342, -0.1096835141315272, -0.040400986509140285, 0.039324674105094014, -0.003948980893351529, -0.16338643916931592, 0.03707199024134561, 0.08294720386498068, 0.11760979033026256, 0.003915607067603177, -0.14478783918495633, 0.05834657551818773, 0.1571660227583427, 0.10387876718059967, 0.009601503046915719, 0.076800558127855, -0.12192939398856222, -0.08959367023290772, 0.40252180466134296, -0.019284086032329423, -0.17367008350495444, 0.1679440767406241, -0.10894571920538224, -0.12080508645464617, 0.12137089547161993, 0.14791038553659364, 0.10848449121572469, -0.20768007256188675, 0.10743571222012274, -0.043970865810191946, 0.1612738652497922, 0.15544720770987241, -0.0016006700768086471, 0.21458797720506004, 0.09811344724393596, -0.0247107036901932, 0.10151706790355475, 0.004024843353698471, -0.16501515040076092, -0.31692164886350693, -0.15736889777901142, -0.22283562091424278, 0.11454684708242942, -0.03916256393131334, -0.21329039374464437, 0.37755797979863065, 0.14874763689065157, 0.09668682272987146, 0.07039936604958616, 0.24875185601903418, 0.07253912608384301, 0.013755845118889977, 0.04114398546516895, 0.13327923294548927, 0.12380844570304218, 0.1723323915962522, -0.05470251151679182, 0.0996533110860343, 0.11499803040274664] |
709.4383 | Mailles et ensembles de Sidon | Grid condition and Sidon sets. The grid condition stated by the author in
1957 as a necessary condition for a set of integers to be a Sidon set is
neither improvable nor sufficient ; explanations and stronger statements are
provided.
| math.CA | grid condition and sidon sets the grid condition stated by the author in 1957 as a necessary condition for a set of integers to be a sidon set is neither improvable nor sufficient explanations and stronger statements are provided | [['grid', 'condition', 'and', 'sidon', 'sets', 'the', 'grid', 'condition', 'stated', 'by', 'the', 'author', 'in', '1957', 'as', 'a', 'necessary', 'condition', 'for', 'a', 'set', 'of', 'integers', 'to', 'be', 'a', 'sidon', 'set', 'is', 'neither', 'improvable', 'nor', 'sufficient', 'explanations', 'and', 'stronger', 'statements', 'are', 'provided']] | [-0.17379295345968926, 0.09996826903751263, -0.0714320943523676, 0.15425785794818345, -0.12165012759849048, -0.1808838960953439, 0.10300815113199253, 0.3062156275487863, -0.20411826371669006, -0.30236087795585775, 0.1601791124737177, -0.23103745619599253, -0.04439518868159025, 0.15433424724659955, -0.1262338794529056, 0.050141337781380385, 0.10059847470181875, 0.02869499692072471, 0.03623283976832262, -0.33936261705672127, 0.33984391357845223, 0.012404994203303104, 0.20391109934410986, 0.11071042802471381, 0.06507156817958905, -0.07613615433757122, -0.0047822761862801435, 0.08444531995038955, -0.19315909329228675, 0.04270603008663807, 0.2341335469092696, 0.2293912238584688, 0.313437502258099, -0.40869016739993524, -0.12130514575311771, 0.17763068254750508, 0.06059094600809308, 0.06273855908940999, 0.009317547345581727, -0.26568056299136233, 0.1938371503343567, -0.10241542021051431, -0.15054843883412197, -0.10558751879785305, 0.09338087330643947, 0.036013873580556646, -0.4217973586458426, 0.013647342052979346, 0.17293780602705786, 0.15625419620520029, -0.08113589347937168, -0.11909168075101498, -0.043300813099799246, 0.06836072001486826, -0.025341492605944857, 0.04741600473435261, 0.004342361950339415, 0.007167349521739361, -0.06928086849168325, 0.385467882339771, 0.03142489192004387, -0.2650859054560081, 0.12907457062735772, -0.10290726344698133, -0.10636903704382861, 0.08444877705560663, 0.022912287845825538, 0.10301037443180878, -0.17107598125958481, 0.09918958683892225, -0.13731931818601412, 0.15029947450145698, 0.18182865674726856, 0.006721162452147557, 0.13992589253645676, 0.04830200590479832, 0.13647077473787925, 0.10048998072922516, 0.11654148594691204, 0.007196083258932982, -0.3950441278135165, -0.08995117951566592, -0.2575563861009402, 0.07178120969202166, -0.022504247640683435, -0.19094747553269067, 0.3064962350882781, 0.10675293168960473, 0.15216016823661704, 0.07113365762126751, 0.23456157887211213, 0.11674778500962883, 0.03223644908613119, 0.08289446871584424, 0.09377347110794523, 0.21824458132211405, 0.03989754029764579, -0.03991765481157181, 0.07968016726991688, 0.1989073584883068] |
709.4384 | Correspondance de Howe: paires duales de type II | In this article, we give a new method for proving Howe correspondence in the
case of dual pairs of type $({\rm GL}_n, {\rm GL}_m)$ over a non-Archimedean
locally compact field $F$. The proof consists in combining a study on Kudla's
filtration with the results of a previous article of the autor about the
irreducibility of a parabolically induced representation. The proof is valid
for $F$ of any characteristic and allows us to make the correspondence explicit
in terms of Langlands parameters.
| math.RT | in this article we give a new method for proving howe correspondence in the case of dual pairs of type rm gl_n rm gl_m over a nonarchimedean locally compact field f the proof consists in combining a study on kudlas filtration with the results of a previous article of the autor about the irreducibility of a parabolically induced representation the proof is valid for f of any characteristic and allows us to make the correspondence explicit in terms of langlands parameters | [['in', 'this', 'article', 'we', 'give', 'a', 'new', 'method', 'for', 'proving', 'howe', 'correspondence', 'in', 'the', 'case', 'of', 'dual', 'pairs', 'of', 'type', 'rm', 'gl_n', 'rm', 'gl_m', 'over', 'a', 'nonarchimedean', 'locally', 'compact', 'field', 'f', 'the', 'proof', 'consists', 'in', 'combining', 'a', 'study', 'on', 'kudlas', 'filtration', 'with', 'the', 'results', 'of', 'a', 'previous', 'article', 'of', 'the', 'autor', 'about', 'the', 'irreducibility', 'of', 'a', 'parabolically', 'induced', 'representation', 'the', 'proof', 'is', 'valid', 'for', 'f', 'of', 'any', 'characteristic', 'and', 'allows', 'us', 'to', 'make', 'the', 'correspondence', 'explicit', 'in', 'terms', 'of', 'langlands', 'parameters']] | [-0.1842988782711787, 0.015004107354921692, -0.14060246865667494, 0.037599502614250886, -0.10303334522716424, -0.06915604973349858, -0.00026006222254148234, 0.28077753099762365, -0.26458706911423324, -0.22690429874224427, 0.05644433211282263, -0.17900421038103997, -0.1405025581990219, 0.2575184601922462, -0.116621345097636, -0.05680861740867481, 0.021991242447661027, 0.09176411593539847, -0.12372247971893277, -0.25702596766971925, 0.3722927093298899, -0.0275888403210743, 0.23716161918630937, 0.06078698173924177, 0.1167623995239904, 0.0725744666106263, -0.03602981759396232, -0.05070529368499087, -0.17369746107516099, 0.20611261612344764, 0.28632373581237996, 0.08079885081445545, 0.2285626321502122, -0.37196199754597964, -0.12160286798866259, 0.16800348605546686, 0.11114745162841347, 0.07327923855893774, -0.02785041936052342, -0.2876859685595803, 0.10675225187851875, -0.16391070764281868, -0.15717491224684096, -0.03789132654115006, 0.0430631216307872, 0.002646641584435179, -0.3150195558612913, 0.029004968116404833, 0.1407701838761568, 0.14104847836503645, -0.08340690032087474, -0.06464091543522146, 0.01703391474798138, 0.05705932815800662, -0.0012001072395776892, 0.09968475643602878, 0.04542073126261433, -0.12485992340773436, -0.0940193424614313, 0.33557222726651365, -0.09988994737742124, -0.16418515280303028, 0.16925978728420574, -0.13880081269545136, -0.16314419074972838, 0.09292400005147045, 0.09694619442301768, 0.1672901023225284, -0.06365092141111094, 0.18980417321766668, -0.13760189937404643, 0.08104984098930418, 0.08746292898546398, 0.012677445984732957, 0.14771281548971196, 0.10038379821236487, 0.07483697119226426, 0.16152093673044424, 0.005907077839552069, -0.024226623374600836, -0.39754897146773194, -0.24265003559628018, -0.11930721141340464, 0.10986134669754977, -0.08690447090635577, -0.12890294844997519, 0.44850735024859506, 0.11182270750955299, 0.1981608389566342, 0.12995474083050165, 0.19153701422023184, 0.0719889931604956, 0.040155468597709215, 0.022855639952108448, 0.15052916538430217, 0.25005264375588776, -0.020002435043419677, -0.15913679182276497, -0.008090842891783441, 0.1976207028384562] |
709.4385 | Exotic Non-relativistic String | We construct a classical non-relativistic string model in 3+1 dimensions. The
model contains a spurion tensor field that is responsible for the
non-commutative structure of the model. Under double dimensional reduction the
model reduces to the exotic non-relativistic particle in 2+1 dimensions.
| hep-th | we construct a classical nonrelativistic string model in 31 dimensions the model contains a spurion tensor field that is responsible for the noncommutative structure of the model under double dimensional reduction the model reduces to the exotic nonrelativistic particle in 21 dimensions | [['we', 'construct', 'a', 'classical', 'nonrelativistic', 'string', 'model', 'in', '31', 'dimensions', 'the', 'model', 'contains', 'a', 'spurion', 'tensor', 'field', 'that', 'is', 'responsible', 'for', 'the', 'noncommutative', 'structure', 'of', 'the', 'model', 'under', 'double', 'dimensional', 'reduction', 'the', 'model', 'reduces', 'to', 'the', 'exotic', 'nonrelativistic', 'particle', 'in', '21', 'dimensions']] | [-0.10365259744936511, 0.17516224033481972, -0.06606127060062829, 0.10559166352807854, -0.013765144738413039, -0.18054497057926797, -0.04930749358165832, 0.2563867270059529, -0.18919314965162248, -0.2724939687177539, 0.008008192379271523, -0.2252315618541269, -0.15050905228902897, 0.1165223905201336, -0.011630358307489328, 0.0017539892966548603, -0.016324187340658335, 0.10131731069469381, -0.09396895570569627, -0.2453321349263812, 0.32613355245086406, 0.03338202701083252, 0.2902886782262829, -0.009437505827961667, 0.12613849368478572, 0.03273249647602262, -0.01235733593681029, 0.04639866356072681, -0.09674220040549353, 0.09692424067872621, 0.13574982297030233, 0.02741218097729697, 0.1264192529876406, -0.40689380400414976, -0.25711561484439743, 0.09016702497111899, 0.11532627700251483, 0.17540827397966668, -0.01939143742146414, -0.22802677790501288, 0.07349184312902036, -0.2203283169905522, -0.21642783389515466, -0.06797876599289122, 0.008799480864711638, -0.13747208139726094, -0.27871897610020824, 0.12800929260750613, 0.071665600751571, 0.0007024419582670643, -0.10906332054929364, -0.07086132859279003, -0.0007723957921067873, 0.032018281231146486, 0.05247384163972345, 0.03490978151482219, 0.09231231872746277, -0.2062329177571796, -0.1869475237936491, 0.4521086506900333, -0.10943829116322809, -0.24923906016296574, 0.16674806279618115, -0.1365085274779371, -0.16209577068331696, 0.1330992553072671, 0.1597923679343824, 0.09196401396322818, -0.12020791936360876, 0.2795057799223633, -0.0928008644176381, 0.15649904563490832, 0.05043549197060721, -0.0039390572235875184, 0.2072037463298156, 0.17493189272603818, -0.007345001279775586, 0.16827327718159982, -0.11148398952736031, -0.20617730210402183, -0.3853147601974862, -0.17851794328141427, -0.09040443978405424, 0.11492543084369529, -0.16578487741450468, -0.1716589524543711, 0.39567485952838544, 0.1494765634886876, 0.1605216746587151, -0.031110820382656085, 0.24323400879456175, 0.12976168654859066, 0.09366871026300248, 0.06788877908894349, 0.22336420443441188, 0.17846338377733315, 0.07372915585126195, -0.17476211654554522, -0.14683873874933592, 0.1774616362083526] |
709.4386 | Ensembles quasi-ind\'ependants et ensembles de Sidon, th\'eorie de
Bourgain (d'apr\`es Myriam D\'echamps, Li et Queffelec) | Exposition of the relation between quasi-independent and Sidon sets, theorems
of Pisier according to the method of Bourgain
| math.CA | exposition of the relation between quasiindependent and sidon sets theorems of pisier according to the method of bourgain | [['exposition', 'of', 'the', 'relation', 'between', 'quasiindependent', 'and', 'sidon', 'sets', 'theorems', 'of', 'pisier', 'according', 'to', 'the', 'method', 'of', 'bourgain']] | [-0.06092129083764222, 0.08147980129837783, -0.1928693506245812, 0.10291970065898365, -0.056586006863249674, -0.10761853669666582, 0.12863256921344954, 0.23572914416177404, -0.27888185686121386, -0.2932935789382706, 0.08194512047339231, -0.34501803128255737, -0.08099214691254827, 0.22364130409227478, -0.17267919859538475, 0.01937030266142554, 0.026479314391811688, -0.02906569993744294, -0.04687089431616995, -0.33384232305818135, 0.4213042083299822, -0.007186138601456251, 0.2655493441141314, 0.07108113935424222, 0.0736979713353018, 0.005457486388170057, -0.18548580127147338, -0.061437818341801176, -0.23765471743212807, 0.21280540634567538, 0.26368858520355487, 0.15789946686062548, 0.30195575373040306, -0.3398778573092487, -0.03214158329905735, 0.1225558618704478, 0.044042320715056524, 0.029317117399639554, 0.08307721553784278, -0.3499576908846696, 0.0734305592874686, -0.0809195321182617, -0.13354659052048293, -0.05585931365688642, 0.09312459681597021, 0.10552831534813675, -0.20774916471499535, 0.12563752734826672, 0.26415327274137074, 0.08266429189178678, -0.11032751699288686, -0.11880637250012821, -0.03435730357240471, 0.06075320392847061, 0.10173710270060433, 0.06230780642686619, -0.03047682148300939, 0.07560527366068628, -0.14515260472479793, 0.3015000522136688, -0.0037828036066558626, -0.15861907756576935, 0.15012013415495554, -0.10268203458852238, -0.11602748951150312, 0.0461720769914488, 0.06804080366984838, 0.0878710254198975, -0.09671012503612372, 0.10750584668777366, -0.10170277818623516, 0.11674810945987701, 0.24353023416673145, 0.02174117685192161, 0.0359660138686498, 0.10044252882815069, 0.10010466383149226, 0.17575075063440534, 0.0763848852366209, -0.03587152829600705, -0.3258865045176612, -0.10547386482357979, -0.25450901521576774, 0.08903059673806031, -0.1462640930735183, -0.18421021931701237, 0.3182515592003862, 0.15534241683781147, 0.1345637006064256, 0.12653444107207987, 0.19348664519687495, -0.005928991672893365, -0.01774079425053464, 0.010956009125543965, 0.14785275194380018, 0.4072648622095585, 0.03115343405968613, -0.1118521786087917, -0.07509036043969293, 0.3055092319846153] |
709.4387 | Graph-different permutations | We strengthen and put in a broader perspective previous results of the first
two authors on colliding permutations. The key to the present approach is a new
non-asymptotic invariant for graphs.
| math.CO | we strengthen and put in a broader perspective previous results of the first two authors on colliding permutations the key to the present approach is a new nonasymptotic invariant for graphs | [['we', 'strengthen', 'and', 'put', 'in', 'a', 'broader', 'perspective', 'previous', 'results', 'of', 'the', 'first', 'two', 'authors', 'on', 'colliding', 'permutations', 'the', 'key', 'to', 'the', 'present', 'approach', 'is', 'a', 'new', 'nonasymptotic', 'invariant', 'for', 'graphs']] | [-0.12566869038217252, 0.05326036512551288, -0.1383277068455373, 0.08002432063597464, -0.10699096454247352, -0.1174156928074456, 0.08887439662019812, 0.342396869294105, -0.20968671046918438, -0.27544113729269276, 0.04781023569540271, -0.23329125933589473, -0.12661723516160442, 0.2180539277652579, -0.12897257170369547, 0.07383274022609956, 0.04356470230906721, 0.0030820381136671187, -0.08634449244146386, -0.2669464753820531, 0.3907332409533762, 0.0444356266469244, 0.25432707738852306, 0.102039591409266, 0.032442485372866356, -0.003203015609253799, -0.0838253358679433, -0.0003151326410232052, -0.21001654538896777, 0.21453153340506456, 0.21313704321942023, 0.13752400996013275, 0.2826967145646772, -0.38481640757902735, -0.19534390032171242, 0.054824556704730756, 0.13268354444974853, 0.14571883835859836, -0.0849505933189404, -0.3278636285854924, 0.0671136753573533, -0.16423197841692355, -0.09018988396611906, -0.020107915685061487, 0.015671015807217168, 0.029705065993532058, -0.2569676284347811, -0.004568005596557932, 0.13567099756290835, 0.04790820388664161, -0.026512679643929005, -0.1641713654051625, 0.10047112071826574, 0.12723807562443037, 0.06116015406235332, 0.029099394372033495, 0.027108610869618133, -0.04035482207132924, -0.18278914245386277, 0.3503943761029551, -0.037794458094022924, -0.17327125100118498, 0.19258316320877883, -0.15509231658952852, -0.29232403359586195, 0.053174171176168225, 0.23047662222938192, 0.15259419658011006, -0.12753221732113632, 0.030938705172194467, -0.1558951546828593, 0.10145158424312549, 0.04718283500762716, 0.0023768674882669602, 0.13712974015863671, 0.1888365910779084, 0.09844448636736601, 0.2106739432295604, -0.025620256963696693, -0.09591959875016924, -0.3372638881687195, -0.1486901097119816, -0.16198795061979082, -0.005971402410537966, -0.08828093243655824, -0.06206688602293481, 0.43192571197305957, 0.21162279563084727, 0.2098496800153366, 0.10140578595981482, 0.2820364363761919, 0.06247926800842247, 0.013318880971881652, 0.06629511487159517, 0.24352906283832365, 0.15636014815179572, 0.07942534882515188, -0.09200343599302634, 0.033161188520851634, 0.12623537378385663] |
709.4388 | One-loop Electroweak and QCD corrections to vector boson scattering into
top pairs and application to ILC | We calculate the electroweak and QCD corrections to W-W+ -> tt and ZZ -> tt.
We also consider the interplay of these corrections with the effect of
anomalous interactions that affect the massive weak bosons and the top. The
results at the VV level fusion are convoluted with the help of the effective
vector boson approximation to give predictions for a high energy e+e- collider.
| hep-ph | we calculate the electroweak and qcd corrections to ww tt and zz tt we also consider the interplay of these corrections with the effect of anomalous interactions that affect the massive weak bosons and the top the results at the vv level fusion are convoluted with the help of the effective vector boson approximation to give predictions for a high energy ee collider | [['we', 'calculate', 'the', 'electroweak', 'and', 'qcd', 'corrections', 'to', 'ww', 'tt', 'and', 'zz', 'tt', 'we', 'also', 'consider', 'the', 'interplay', 'of', 'these', 'corrections', 'with', 'the', 'effect', 'of', 'anomalous', 'interactions', 'that', 'affect', 'the', 'massive', 'weak', 'bosons', 'and', 'the', 'top', 'the', 'results', 'at', 'the', 'vv', 'level', 'fusion', 'are', 'convoluted', 'with', 'the', 'help', 'of', 'the', 'effective', 'vector', 'boson', 'approximation', 'to', 'give', 'predictions', 'for', 'a', 'high', 'energy', 'ee', 'collider']] | [-0.07000778902262922, 0.20728057310990397, -0.07108614285243675, 0.1842117797110289, -0.052563921297116886, -0.1461777339452907, 0.050983619454893325, 0.31449613554610145, -0.2517495345442541, -0.23662355304178265, 0.023522321083065536, -0.3536593316063758, -0.04819123922211547, 0.11111959096576486, 0.14385195021768885, 0.06146096526127723, 0.10890100992447327, 0.030161393096759206, -0.08161297423158964, -0.2786735845618837, 0.32830771357412375, 0.11126917642023829, 0.22205993818444392, 0.15668030626450977, 0.060110833791513295, 0.07127994073865314, -0.061672244708807694, -0.05208335595116729, -0.13882214876526083, 0.0983769343001768, 0.1804673465353156, -0.01589349779995188, 0.12432228424955928, -0.3468962333032063, -0.0767480926329477, 0.1050789678646695, 0.13528452444052885, 0.13717069049617128, -0.04517653841702711, -0.2861775487868322, 0.16078163942484747, -0.22485307256676376, -0.07823140098757687, -0.10100266360677779, -0.03081121908441659, -0.03396568559701481, -0.36320593966437237, 0.0800492067697517, -0.011113164000331409, -0.014644821691844199, -0.013236552787323793, -0.1561303866494979, -0.07699899410548074, 0.05628954081810893, 0.09464565750824967, 0.05360747871057515, 0.14455609563146793, -0.22052356374583074, -0.18253401802882316, 0.4136216873450885, -0.12600305615850385, -0.19210052437015943, 0.21841762214899063, -0.1964794426328606, -0.15601072150711265, 0.13946446166595533, 0.2738289013652811, 0.021303968740597604, -0.11284105637894264, 0.1791121701253504, 0.07849718456614822, 0.0762486498995078, -0.005886713493733652, 0.09781869000474376, 0.21417215372627926, 0.14010504789886966, -0.04393858271872714, 0.10358345572511474, -0.10962417766097046, -0.041941569822411685, -0.4083323897941718, -0.13775544761428757, -0.015794940802845218, 0.01759121942496489, -0.07908483304657109, -0.1344198991899334, 0.36784590192375677, 0.16013053112796374, 0.2639951178774474, 0.038034702665985576, 0.30792825095473775, 0.18190642563064421, 0.05562753635985289, 0.05163344699175223, 0.35731835529533407, 0.14709672251982348, 0.12085265296673964, -0.2714574870372575, -0.022713800700056175, 0.07917628109100319] |
709.4389 | Simulation of ratio of old to young people in countries like Poland | Countries like Poland with a recent sharp drop in birth rates still have some
time to prepare for the problems of an ageing society. Ater the year 2030 they
can become increasingly serious.
| physics.soc-ph | countries like poland with a recent sharp drop in birth rates still have some time to prepare for the problems of an ageing society ater the year 2030 they can become increasingly serious | [['countries', 'like', 'poland', 'with', 'a', 'recent', 'sharp', 'drop', 'in', 'birth', 'rates', 'still', 'have', 'some', 'time', 'to', 'prepare', 'for', 'the', 'problems', 'of', 'an', 'ageing', 'society', 'ater', 'the', 'year', '2030', 'they', 'can', 'become', 'increasingly', 'serious']] | [-0.040525148338929284, 0.1887219166860632, -0.10165884002344683, 0.11549451388418674, -0.04072819470820832, -0.15833929988730233, 0.03204996121348813, 0.370863264775835, -0.24827505875146016, -0.3339020672137849, 0.23839452825995977, -0.3316245661408175, -0.07884167047450319, 0.27688123119150987, -0.1806945980351884, 0.02545407076831907, 0.10580106184352189, 0.031239096191711724, 0.0066136912755609956, -0.35149830096634105, 0.21375139243900776, 0.09594835637835786, 0.2801935389870778, 0.09066344230086543, 0.002709884924115613, -0.1043050573389337, -0.034697822760790586, -0.04030630720080808, -0.09509424719726667, 0.0781347563406598, 0.3563314092461951, 0.13317807560088113, 0.45463401870802045, -0.5168380883987993, -0.20838654594263062, 0.15071847368380986, 0.1310705528012477, 0.13086589868180454, -0.06934874347643927, -0.2554761036954005, -0.01814687580917962, -0.2345215635286877, -0.17563659988809377, 0.002838545886334032, 0.11294972884934396, -0.021229945996310562, -0.14894347282825038, 0.11720438479096629, -0.022167928254930303, 0.09285664030176122, -0.047196722007356584, -0.13841006772054243, 0.01588228791661095, 0.17792530677979812, 0.10034513525897637, 0.032108196701301495, 0.1377787688979879, -0.195307778660208, -0.117071975604631, 0.36399144856841303, 0.01279166855965741, -0.021542941103689373, 0.24164428986841813, -0.19300435707555152, -0.19118530736886896, 0.08650321103050373, 0.25424149481114, 0.029741101643594448, -0.16177444549975917, -0.04932681801437866, 0.025257696048356593, 0.15311744209611788, 0.1221888926520478, -0.007214923505671322, 0.2425744115607813, 0.17003810266032815, 0.0939607833752234, -0.001465197914512828, -0.05462605634238571, -0.13970031602366362, -0.16319423928507604, -0.13294469432730693, -0.06277645680529531, 0.08723520977218868, -0.0523108263296308, -0.17375642206025077, 0.3493554280139506, 0.11071987544710282, 0.19277313287602738, 0.029592006176244467, 0.19346779359329958, 0.08315511525688635, 0.08603836427209899, 0.07574331646901555, 0.24446880211053212, 0.043830510665429756, 0.2489663193700835, -0.08658543054480106, 0.17113588257416268, -0.059453568974277005] |
709.439 | A Detailed Analysis of the Dust Formation Zone of IRC+10216 Derived from
Mid-IR Bands of C2H2 and HCN | A spectral survey of IRC+10216 has been carried out in the range 11 to 14 um
with a spectral resolution of about 4 km s^-1. We have identified a forest of
lines in six bands of C2H2 involving the vibrational states from the ground to
3nu5 and in two bands of HCN, involving the vibrational states from the ground
up to 2nu2. Some of these transitions are observed also in H13CCH and H13CN. We
have estimated the kinetic, vibrational, and rotational temperatures, and the
abundances and column densities of C2H2 and HCN between 1 and 300 R* (1.5E16
cm) by fitting about 300 of these ro-vibrational lines. The envelope can be
divided into three regions with approximate boundaries at 0.019 arcsec (the
stellar photosphere), 0.1 arcsec (the inner dust formation zone), and 0.4
arcsec (outer dust formation zone). Most of the lines might require a large
microturbulence broadening. The derived abundances of C2H2 and HCN increase by
factors of 10 and 4, respectively, from the innermost envelope outwards. The
derived column densities for both C2H2 and HCN are 1.6E19 cm^-2. Vibrational
states up to 3000 K above ground are populated, suggesting pumping by
near-infrared radiation from the star and innermost envelope. Low rotational
levels can be considered under LTE while those with J>20-30 are not
thermalized. A few lines require special analysis to deal with effects like
overlap with lines of other molecules.
| astro-ph | a spectral survey of irc10216 has been carried out in the range 11 to 14 um with a spectral resolution of about 4 km s1 we have identified a forest of lines in six bands of c2h2 involving the vibrational states from the ground to 3nu5 and in two bands of hcn involving the vibrational states from the ground up to 2nu2 some of these transitions are observed also in h13cch and h13cn we have estimated the kinetic vibrational and rotational temperatures and the abundances and column densities of c2h2 and hcn between 1 and 300 r 15e16 cm by fitting about 300 of these rovibrational lines the envelope can be divided into three regions with approximate boundaries at 0019 arcsec the stellar photosphere 01 arcsec the inner dust formation zone and 04 arcsec outer dust formation zone most of the lines might require a large microturbulence broadening the derived abundances of c2h2 and hcn increase by factors of 10 and 4 respectively from the innermost envelope outwards the derived column densities for both c2h2 and hcn are 16e19 cm2 vibrational states up to 3000 k above ground are populated suggesting pumping by nearinfrared radiation from the star and innermost envelope low rotational levels can be considered under lte while those with j2030 are not thermalized a few lines require special analysis to deal with effects like overlap with lines of other molecules | [['a', 'spectral', 'survey', 'of', 'irc10216', 'has', 'been', 'carried', 'out', 'in', 'the', 'range', '11', 'to', '14', 'um', 'with', 'a', 'spectral', 'resolution', 'of', 'about', '4', 'km', 's1', 'we', 'have', 'identified', 'a', 'forest', 'of', 'lines', 'in', 'six', 'bands', 'of', 'c2h2', 'involving', 'the', 'vibrational', 'states', 'from', 'the', 'ground', 'to', '3nu5', 'and', 'in', 'two', 'bands', 'of', 'hcn', 'involving', 'the', 'vibrational', 'states', 'from', 'the', 'ground', 'up', 'to', '2nu2', 'some', 'of', 'these', 'transitions', 'are', 'observed', 'also', 'in', 'h13cch', 'and', 'h13cn', 'we', 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'to', '3000', 'k', 'above', 'ground', 'are', 'populated', 'suggesting', 'pumping', 'by', 'nearinfrared', 'radiation', 'from', 'the', 'star', 'and', 'innermost', 'envelope', 'low', 'rotational', 'levels', 'can', 'be', 'considered', 'under', 'lte', 'while', 'those', 'with', 'j2030', 'are', 'not', 'thermalized', 'a', 'few', 'lines', 'require', 'special', 'analysis', 'to', 'deal', 'with', 'effects', 'like', 'overlap', 'with', 'lines', 'of', 'other', 'molecules']] | [-0.04877286426224664, 0.14463434761222616, 0.032168488710579514, 0.0094566327160257, 0.03113292734927024, -0.0887020912630026, 0.0575482004706078, 0.4554599606914021, -0.18168565519654453, -0.35694050338127437, 0.09131967875567314, -0.2891288843269362, 0.02767204989479005, 0.12384998282262434, 0.021388192963377947, -0.030516180570039228, 0.029710274822335986, -0.0919036858691119, -0.05427271010672772, -0.1533339407045819, 0.2724861329316219, 0.05604196628637351, 0.14353443935346022, 0.06056582562706082, 0.026043069548904896, 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709.4391 | Modified Gravity: living without Birkhoff I. DGP | We consider the consequences of the absence of Birkhoff's theorem in theories
of modified gravity. As an example, we calculate the gravitational force on a
test particle due to a spherical mass shell in the Dvali-Gabadaze-Porrati model
(DGP). We show that unlike in General Relativity, the force depends on the mass
distribution. In particular, the gravitational force within a spherical mass
shell depends on the geometric structure of the bulk, and is likely non-zero.
| gr-qc astro-ph | we consider the consequences of the absence of birkhoffs theorem in theories of modified gravity as an example we calculate the gravitational force on a test particle due to a spherical mass shell in the dvaligabadazeporrati model dgp we show that unlike in general relativity the force depends on the mass distribution in particular the gravitational force within a spherical mass shell depends on the geometric structure of the bulk and is likely nonzero | [['we', 'consider', 'the', 'consequences', 'of', 'the', 'absence', 'of', 'birkhoffs', 'theorem', 'in', 'theories', 'of', 'modified', 'gravity', 'as', 'an', 'example', 'we', 'calculate', 'the', 'gravitational', 'force', 'on', 'a', 'test', 'particle', 'due', 'to', 'a', 'spherical', 'mass', 'shell', 'in', 'the', 'dvaligabadazeporrati', 'model', 'dgp', 'we', 'show', 'that', 'unlike', 'in', 'general', 'relativity', 'the', 'force', 'depends', 'on', 'the', 'mass', 'distribution', 'in', 'particular', 'the', 'gravitational', 'force', 'within', 'a', 'spherical', 'mass', 'shell', 'depends', 'on', 'the', 'geometric', 'structure', 'of', 'the', 'bulk', 'and', 'is', 'likely', 'nonzero']] | [-0.12941482996668768, 0.11266820572770508, -0.10163779899075225, 0.11268785624368419, -0.06839262642520103, -0.06282287018650488, -0.02652650320826954, 0.2763892869981056, -0.18355875859993534, -0.2774301887162634, 0.029052941053098923, -0.22206310995829268, -0.1436963206364748, 0.17639236340167103, -0.06889989883229891, -0.03573797002585756, -0.008387552989596451, 0.09654512297915849, -0.1105262583870491, -0.16560722287819796, 0.39389995136927514, 0.08769858096147308, 0.2418664066574058, 0.09192781779770362, 0.09580152063957743, 0.03364393291869075, -0.005749766186282442, 0.02765512262546533, -0.18014216885913392, 0.03579715376317098, 0.06550480609734517, 0.07203127779192417, 0.23439283082828027, -0.44807474594563246, -0.21818355454534694, 0.10095147118979209, 0.08654984656872379, 0.16421097871922963, -0.08021542198194594, -0.24087497237062938, 0.0065646223579155834, -0.20780057183189973, -0.19812160595697728, 0.004333426062068021, 0.03180524457648799, 0.0019398671071473006, -0.23158138761111233, 0.14195205026142602, 0.06421013572882558, -0.012703898174033777, -0.11721874732599669, -0.05986781927719209, -0.03333680904029894, 0.042638282033589645, 0.11232922219897847, 0.019103336321013804, 0.19416707104097145, -0.14778615449353852, -0.052611051983124504, 0.4667120374537803, -0.1154417261619725, -0.23636950889753328, 0.16304309688810562, -0.18406312755384557, -0.1465057531636007, 0.06393926484963379, 0.18675514961265632, 0.15126114779126806, -0.10694133550812793, 0.1552717578967064, -0.05450340242099923, 0.16016607644741196, 0.09470295419324995, -0.012484290079383582, 0.2879789786891559, 0.14737162533581155, 0.022341335444031534, 0.12182590044481126, -0.13282913239232289, -0.11377414927591344, -0.3428485386476323, -0.16037821477732142, -0.20657098601018456, 0.05120033353277658, -0.14079876388781043, -0.19975375134271342, 0.34210811920363354, 0.12615570470665557, 0.135862191925077, 0.05107153864967561, 0.2736675700776883, 0.08800852326581858, 0.07668151493763199, 0.053329245130707685, 0.36104414872573437, 0.1596906334665176, 0.030718014868152503, -0.2595211645726719, -0.003041702671907842, 0.08380417702593715] |
709.4392 | Ordinary-derivative formulation of conformal totally symmetric arbitrary
spin bosonic fields | Conformal totally symmetric arbitrary spin bosonic fields in flat space-time
of even dimension greater than or equal to four are studied. Second-derivative
(ordinary-derivative) formulation for such fields is developed. We obtain gauge
invariant Lagrangian and the corresponding gauge transformations. Gauge
symmetries are realized by involving the Stueckelberg and auxiliary fields.
Realization of global conformal boost symmetries on conformal gauge fields is
obtained. Modified de Donder gauge condition and de Donder-Stueckelberg gauge
condition are introduced. Using the de Donder-Stueckelberg gauge frame,
equivalence of the ordinary-derivative and higher-derivative approaches is
demonstrated. On-shell degrees of freedom of the arbitrary spin conformal field
are analyzed. Ordinary-derivative light-cone gauge Lagrangian of conformal
fields is also presented. Interrelations between the ordinary-derivative gauge
invariant formulation of conformal fields and the gauge invariant formulation
of massive fields are discussed.
| hep-th | conformal totally symmetric arbitrary spin bosonic fields in flat spacetime of even dimension greater than or equal to four are studied secondderivative ordinaryderivative formulation for such fields is developed we obtain gauge invariant lagrangian and the corresponding gauge transformations gauge symmetries are realized by involving the stueckelberg and auxiliary fields realization of global conformal boost symmetries on conformal gauge fields is obtained modified de donder gauge condition and de donderstueckelberg gauge condition are introduced using the de donderstueckelberg gauge frame equivalence of the ordinaryderivative and higherderivative approaches is demonstrated onshell degrees of freedom of the arbitrary spin conformal field are analyzed ordinaryderivative lightcone gauge lagrangian of conformal fields is also presented interrelations between the ordinaryderivative gauge invariant formulation of conformal fields and the gauge invariant formulation of massive fields are discussed | [['conformal', 'totally', 'symmetric', 'arbitrary', 'spin', 'bosonic', 'fields', 'in', 'flat', 'spacetime', 'of', 'even', 'dimension', 'greater', 'than', 'or', 'equal', 'to', 'four', 'are', 'studied', 'secondderivative', 'ordinaryderivative', 'formulation', 'for', 'such', 'fields', 'is', 'developed', 'we', 'obtain', 'gauge', 'invariant', 'lagrangian', 'and', 'the', 'corresponding', 'gauge', 'transformations', 'gauge', 'symmetries', 'are', 'realized', 'by', 'involving', 'the', 'stueckelberg', 'and', 'auxiliary', 'fields', 'realization', 'of', 'global', 'conformal', 'boost', 'symmetries', 'on', 'conformal', 'gauge', 'fields', 'is', 'obtained', 'modified', 'de', 'donder', 'gauge', 'condition', 'and', 'de', 'donderstueckelberg', 'gauge', 'condition', 'are', 'introduced', 'using', 'the', 'de', 'donderstueckelberg', 'gauge', 'frame', 'equivalence', 'of', 'the', 'ordinaryderivative', 'and', 'higherderivative', 'approaches', 'is', 'demonstrated', 'onshell', 'degrees', 'of', 'freedom', 'of', 'the', 'arbitrary', 'spin', 'conformal', 'field', 'are', 'analyzed', 'ordinaryderivative', 'lightcone', 'gauge', 'lagrangian', 'of', 'conformal', 'fields', 'is', 'also', 'presented', 'interrelations', 'between', 'the', 'ordinaryderivative', 'gauge', 'invariant', 'formulation', 'of', 'conformal', 'fields', 'and', 'the', 'gauge', 'invariant', 'formulation', 'of', 'massive', 'fields', 'are', 'discussed']] | [-0.23288640618872966, 0.283092914224068, -0.07295710380259511, 0.11413552414611444, -0.14373067128219347, -0.17180858398679383, -0.1434864580068131, 0.33669690741587055, -0.11110315844416618, -0.2635121571230377, 0.03525765442610682, -0.190248651523865, -0.15869712038146144, 0.06144088896374081, -0.01527675566472864, 0.056151291019781384, -0.06619834562027177, 0.08140271265319614, -0.14092886216339273, -0.3191331743854712, 0.3572831500408261, 0.0020693409790884156, 0.3141836295077621, -0.009245135803353186, 0.22361404435752436, 0.07915948707133878, -0.06877169520919059, 0.007906682135956002, -0.10234444877565947, 0.0770929729306074, 0.20615559852999715, 0.040621685519338, 0.07484322949132138, -0.3883796910892508, -0.21305917436617983, 0.061019585366801236, 0.12678882682898132, 0.15294206151810957, -0.01697844223303417, -0.37866034298817547, 0.052459254297752715, -0.11179569638659094, -0.1847134004870444, -0.14111376622720628, -0.0635766269045326, -0.14436503426106864, -0.27132365026496813, 0.09382740453823267, 0.020521319060687465, 0.15648360927986313, -0.04814906459114002, -0.07626330905933251, -0.12390378943839392, -0.006379487306103399, 0.16427291712052253, 0.09166903394931393, 0.15836503495310628, -0.1859187519560431, -0.1535933244424735, 0.4035485971163121, -0.09089977624557656, -0.3380080630728441, 0.17096680170286072, -0.06958363840154322, -0.17201533773553002, 0.0806882726931006, 0.10153070136240518, 0.15698692894201408, -0.17045416903155025, 0.30832099624099063, -0.020344912879486646, 0.0203042617094768, 0.16952570058159935, 0.07439711097223584, 0.21178970538267447, -0.04321664750085089, 0.05540750948206861, 0.11361713333113134, 0.062363659058311274, -0.18614848636004122, -0.43428993129077575, -0.17723066669116302, -0.12412484299550339, 0.1193753013408981, -0.15161920755741984, -0.11108144494712122, 0.3712039975478321, 0.10458567782504621, 0.06479654157021653, 0.05663216498846463, 0.16368046984285867, 0.12709734133127065, 0.1399425689253754, 0.039658778765809165, 0.24087831561359785, 0.2759278816037429, 0.02344005150489677, -0.21740852169288222, -0.24121618728503555, 0.20351422336782768] |
709.4393 | Magnus subgroups of one-relator surface groups | A one-relator surface group is the quotient of an orientable surface group by
the normal closure of a single relator. A Magnus subgroup is the fundamental
group of a suitable incompressible sub-surface. A number of results are proved
about the intersections of such subgroups and their conjugates, analogous to
results of Bagherzadeh, Brodskii, and Collins in classical one-relator group
theory.
| math.GR | a onerelator surface group is the quotient of an orientable surface group by the normal closure of a single relator a magnus subgroup is the fundamental group of a suitable incompressible subsurface a number of results are proved about the intersections of such subgroups and their conjugates analogous to results of bagherzadeh brodskii and collins in classical onerelator group theory | [['a', 'onerelator', 'surface', 'group', 'is', 'the', 'quotient', 'of', 'an', 'orientable', 'surface', 'group', 'by', 'the', 'normal', 'closure', 'of', 'a', 'single', 'relator', 'a', 'magnus', 'subgroup', 'is', 'the', 'fundamental', 'group', 'of', 'a', 'suitable', 'incompressible', 'subsurface', 'a', 'number', 'of', 'results', 'are', 'proved', 'about', 'the', 'intersections', 'of', 'such', 'subgroups', 'and', 'their', 'conjugates', 'analogous', 'to', 'results', 'of', 'bagherzadeh', 'brodskii', 'and', 'collins', 'in', 'classical', 'onerelator', 'group', 'theory']] | [-0.22003068563785275, 0.1478107528671209, -0.15205243062870255, 0.05929364930790175, -0.12248151359180438, -0.06071133859423471, 0.0316241694562105, 0.3283463621768972, -0.33269476235426704, -0.23619665907182055, 0.10373849774197001, -0.27257987195304756, -0.1259289364298356, 0.2539666853202828, -0.17409069730964458, 0.0039649486445404334, 0.03970428196520641, 0.1410205139425294, -0.08993810151928458, -0.24022219509914003, 0.3568531737727081, -0.07616281936523216, 0.2635164138828886, 0.020573848633673685, 0.05932614021003246, -0.009454576362823618, -0.04473357065580785, 0.013687938355423254, -0.09384449589034093, 0.11558094774854594, 0.26135402333376734, -0.0029976815085633306, 0.23345869250499227, -0.41645644881345073, -0.20151908737446728, 0.12800464385735064, 0.09605545434169471, 0.030799378416147726, -0.08190084942054518, -0.2886300441519967, 0.11388062578947122, -0.18520623295375244, -0.17288102136507374, -0.01946417908665949, 0.09191533332240992, -0.0035551220563978985, -0.17110781522531962, 0.03226024989873685, 0.11085952930794708, 0.15808692824994697, -0.02073388981054826, -0.10551070350479207, -0.09065587908543389, 0.16278132223042435, 0.0389461532989838, 0.05092343581631651, 0.1316556588938291, -0.1419641294452394, -0.10434717495508235, 0.44631912286297, -0.05309760069538807, -0.19913381466577793, 0.15336173069502773, -0.1910377483702554, -0.1386472546768471, 0.1552494515118928, 0.0738059440988983, 0.14577014567651625, -0.05294701102157605, 0.1526994329118491, -0.2126211541512146, 0.08299620272109992, 0.05173015529450414, -0.07986826163812957, 0.0901735080646929, 0.1334458493691837, 0.097573174211871, 0.09137473554864269, 0.030150481922238872, 0.05931640484777745, -0.34599778313061286, -0.2711440532123028, -0.1090952801389684, 0.1068743733239585, -0.10191586958836556, -0.18418527012369756, 0.39997678706101303, -0.02860667487176874, 0.08641786089745061, 0.07402236231377926, 0.20651637597194197, 0.028430078082300466, 0.05718061722542063, 0.09757991518889522, 0.07817501248791814, 0.2943466443544382, -0.1634939657524228, -0.21253161355531935, -0.01209633020234519, 0.23008003020016798] |
709.4394 | Effect of internal friction on transformation twin dynamics in
SrxBa1-xSnO3 perovskite | The dynamics of transformation twins in SrxBa1-xSnO3 (x=0.6,0.8) perovskite
has been studied by dynamical mechanical analysis in three-point bend geometry.
This material undergoes phase transitions from orthorhombic to tetragonal and
cubic structures on heating. The mechanical loss signatures of the
transformation twins include relaxation and frequency-independent peaks in the
orthorhombic and tetragonal phases, with no observed energy dissipation in the
cubic phase. The macroscopic shape, orientation and relative displacements of
twin walls have been calculated from bending and anisotropy energies. The
mechanical loss angle and distribution of relaxation time are discussed in term
of bending modes of domain walls.
| cond-mat.mtrl-sci | the dynamics of transformation twins in srxba1xsno3 x0608 perovskite has been studied by dynamical mechanical analysis in threepoint bend geometry this material undergoes phase transitions from orthorhombic to tetragonal and cubic structures on heating the mechanical loss signatures of the transformation twins include relaxation and frequencyindependent peaks in the orthorhombic and tetragonal phases with no observed energy dissipation in the cubic phase the macroscopic shape orientation and relative displacements of twin walls have been calculated from bending and anisotropy energies the mechanical loss angle and distribution of relaxation time are discussed in term of bending modes of domain walls | [['the', 'dynamics', 'of', 'transformation', 'twins', 'in', 'srxba1xsno3', 'x0608', 'perovskite', 'has', 'been', 'studied', 'by', 'dynamical', 'mechanical', 'analysis', 'in', 'threepoint', 'bend', 'geometry', 'this', 'material', 'undergoes', 'phase', 'transitions', 'from', 'orthorhombic', 'to', 'tetragonal', 'and', 'cubic', 'structures', 'on', 'heating', 'the', 'mechanical', 'loss', 'signatures', 'of', 'the', 'transformation', 'twins', 'include', 'relaxation', 'and', 'frequencyindependent', 'peaks', 'in', 'the', 'orthorhombic', 'and', 'tetragonal', 'phases', 'with', 'no', 'observed', 'energy', 'dissipation', 'in', 'the', 'cubic', 'phase', 'the', 'macroscopic', 'shape', 'orientation', 'and', 'relative', 'displacements', 'of', 'twin', 'walls', 'have', 'been', 'calculated', 'from', 'bending', 'and', 'anisotropy', 'energies', 'the', 'mechanical', 'loss', 'angle', 'and', 'distribution', 'of', 'relaxation', 'time', 'are', 'discussed', 'in', 'term', 'of', 'bending', 'modes', 'of', 'domain', 'walls']] | [-0.17170652935339004, 0.22611870841343992, -0.08080834581891132, -0.021298984158064055, -0.07158773715041347, -0.07811713719994944, 0.03299369380722955, 0.45382345287302106, -0.3005794351392416, -0.29690788759245085, 0.03371838988981104, -0.2860362307485385, -0.15063906065188348, 0.11570007361702084, 0.033577203568186345, 0.047519142139395794, -0.002931442399768485, -0.04161176456080884, -0.12030831987479913, -0.13145466425369695, 0.2221938976297904, 0.01430539900350586, 0.32100174052775216, 0.016346119017791504, 0.06586124178636626, -0.029983930886598884, 0.11266937158214524, 0.031769542887653275, -0.18964751944253125, 0.010034292725097272, 0.18735768220665835, -0.05693577903025236, 0.14305455053282767, -0.454160894776128, -0.24397241841214373, 0.03690632163863821, 0.07075474421330488, 0.11297281136371426, -0.07360687963760544, -0.2279940042308695, -0.014442686346172327, -0.06872054404751926, -0.12360841929240479, -0.08171934006524455, 0.017497911492420228, 0.011581816777740558, -0.17520947657410324, 0.19154680158831022, 0.06695576391511983, 0.11035262608838257, -0.15675995199336218, -0.11220981376533656, -0.12179772545266704, 0.050441194354489294, 0.11494549128140524, 0.050334262061556896, 0.16807828576678469, -0.08111047367181283, -0.12009784598479566, 0.4577954507135239, 0.01090286230997269, -0.10430274857688196, 0.15151202021953986, -0.21581924695911045, -0.08245795294546436, 0.2387952722378613, 0.16276835558513544, 0.05028081033858903, -0.12984725305829772, 0.07486912793091009, 0.10848860354786835, 0.18111032190655849, 0.14317795520734772, 0.0504280776589552, 0.21576807121794248, 0.1520018017629987, -0.025826982940191923, 0.21446719938785933, -0.11084741459362515, -0.08388901548220094, -0.24101193529582515, -0.12938674546048506, -0.20283245730223423, 0.013873688229743737, -0.12980069977515762, -0.1911011219082266, 0.40655008714991747, 0.022721786113196658, 0.17306963259296626, -0.05544484080506738, 0.23516031143437957, 0.05058249992020812, 0.1238584593802537, -0.010669105278193643, 0.34955233770912303, 0.20137099939225644, 0.11355448027439032, -0.32202432701632994, 0.08281731414464638, 0.03303378111606022] |
709.4395 | The Spatial String Tension in the Deconfined Phase of SU(N) Gauge Theory
and Gauge/String Duality | The spatial string tension of a SU(N) gauge theory without quarks is
calculated using gauge/string duality for 1.2T_c<T<3T_c. The result is
remarkably consistent with the available lattice data for N=2,3. Some evidence
is found that to leading order the large distance physics of a string can be
described by a five-dimensional geometry without a need for an internal space.
| hep-ph hep-lat hep-th nucl-th | the spatial string tension of a sun gauge theory without quarks is calculated using gaugestring duality for 12t_ct3t_c the result is remarkably consistent with the available lattice data for n23 some evidence is found that to leading order the large distance physics of a string can be described by a fivedimensional geometry without a need for an internal space | [['the', 'spatial', 'string', 'tension', 'of', 'a', 'sun', 'gauge', 'theory', 'without', 'quarks', 'is', 'calculated', 'using', 'gaugestring', 'duality', 'for', '12t_ct3t_c', 'the', 'result', 'is', 'remarkably', 'consistent', 'with', 'the', 'available', 'lattice', 'data', 'for', 'n23', 'some', 'evidence', 'is', 'found', 'that', 'to', 'leading', 'order', 'the', 'large', 'distance', 'physics', 'of', 'a', 'string', 'can', 'be', 'described', 'by', 'a', 'fivedimensional', 'geometry', 'without', 'a', 'need', 'for', 'an', 'internal', 'space']] | [-0.10801437689023542, 0.20521776640917183, -0.09646686951650893, 0.14146400645881058, -0.09300137820236128, -0.11770568055839374, 0.019615362982410168, 0.3395190157381625, -0.20523631388064603, -0.31201801738091584, 0.0946387600370458, -0.24265430051158984, -0.07772396408535283, 0.1502716363375557, -0.03187064341558465, 0.02391489159721271, 0.045395827884304116, 0.07312532886862755, -0.09310040140829595, -0.21969987928128704, 0.3208255700391701, 0.051564358458939565, 0.2756757030648918, 0.08297086661231928, 0.07641533598632969, -0.01394661274489722, -0.022440360810864587, 0.07288901229210375, -0.10843285445010005, 0.13942108802690073, 0.21644036509979772, 0.0723050160730932, 0.14034082681133314, -0.4469965846309888, -0.2542582951999944, 0.0483724412684939, 0.15220083056844708, 0.17665209858838854, -0.0665712184754425, -0.26545692760304646, 0.07913782556766066, -0.1575634734833549, -0.19342336013856953, -0.08704614256315961, 0.00634879349120732, -0.08996411329456444, -0.30048381704194793, 0.052173155231465554, 0.006145585424684245, 0.059817841597672165, -0.03266432985727643, -0.05452734479632486, -0.05795741999714539, 0.09123559128332498, 0.09647276421511096, 0.15752349748147715, 0.053961841774911715, -0.1710675148903553, -0.14861099616271153, 0.4260171603026061, -0.07285046554371265, -0.20640663319299446, 0.16195206285317845, -0.11861508133307357, -0.11555328080430627, 0.11763413995504379, 0.0890199779773709, 0.07723217298465396, -0.17669091054142036, 0.18365995681471822, -0.06257005862024581, 0.2042386056293316, 0.06663361400494287, 0.006239974774934095, 0.24329562883438735, 0.14714787079117678, 0.025876850708676822, 0.10854961280309564, -0.07218815634781815, -0.10981881415375092, -0.3901044685907405, -0.09749559531839372, -0.19282602858408515, 0.061983402991057215, -0.17542154320258777, -0.1191984710990098, 0.2776341246328606, 0.06708244137176923, 0.21033042190789147, 0.04574510032824915, 0.20273198492439656, 0.08658114992531724, 0.09605686100007131, 0.06914805392092414, 0.23586874547793835, 0.1334697948808878, 0.07588457296088595, -0.22693475808723476, -0.031794625832217524, 0.13172165247419015] |
709.4396 | Dressing the inflaton with the Standard Model gauge group | In this talk we will discuss how inflation can be embedded within a minimal
extension of the Standard Model where the inflaton carries the Standard Model
charges. There is no need of an ad-hoc scalar field to be introduced in order
to explain the temperature anisotropy of the cosmic microwave background
radiation, all the ingredients are present within a minimal supersymmetric
Standard Model. The model is robust enough to provide a successful exit from
inflation with all observed matter in the universe. This is a triumph for an
inflationary paradigm which has always begged a simple question: can we
identify the inflaton in a laboratory. We will briefly discuss how LHC can shed
some insight into the inflaton.
| hep-ph | in this talk we will discuss how inflation can be embedded within a minimal extension of the standard model where the inflaton carries the standard model charges there is no need of an adhoc scalar field to be introduced in order to explain the temperature anisotropy of the cosmic microwave background radiation all the ingredients are present within a minimal supersymmetric standard model the model is robust enough to provide a successful exit from inflation with all observed matter in the universe this is a triumph for an inflationary paradigm which has always begged a simple question can we identify the inflaton in a laboratory we will briefly discuss how lhc can shed some insight into the inflaton | [['in', 'this', 'talk', 'we', 'will', 'discuss', 'how', 'inflation', 'can', 'be', 'embedded', 'within', 'a', 'minimal', 'extension', 'of', 'the', 'standard', 'model', 'where', 'the', 'inflaton', 'carries', 'the', 'standard', 'model', 'charges', 'there', 'is', 'no', 'need', 'of', 'an', 'adhoc', 'scalar', 'field', 'to', 'be', 'introduced', 'in', 'order', 'to', 'explain', 'the', 'temperature', 'anisotropy', 'of', 'the', 'cosmic', 'microwave', 'background', 'radiation', 'all', 'the', 'ingredients', 'are', 'present', 'within', 'a', 'minimal', 'supersymmetric', 'standard', 'model', 'the', 'model', 'is', 'robust', 'enough', 'to', 'provide', 'a', 'successful', 'exit', 'from', 'inflation', 'with', 'all', 'observed', 'matter', 'in', 'the', 'universe', 'this', 'is', 'a', 'triumph', 'for', 'an', 'inflationary', 'paradigm', 'which', 'has', 'always', 'begged', 'a', 'simple', 'question', 'can', 'we', 'identify', 'the', 'inflaton', 'in', 'a', 'laboratory', 'we', 'will', 'briefly', 'discuss', 'how', 'lhc', 'can', 'shed', 'some', 'insight', 'into', 'the', 'inflaton']] | [-0.11094871683953664, 0.1987158962553785, -0.13211025259433648, 0.13583547552414715, -0.10838269053472795, -0.1483569740373482, -0.046828391828423, 0.33555809574790746, -0.23254744743562153, -0.2853035494271252, 0.07629639997881335, -0.22948369726092896, -0.12761803733933175, 0.17015763589690447, -0.06843412207622622, -0.021578129325221237, 0.003583859717950989, 0.06873361480399433, -0.0005195703771379259, -0.2634752583391487, 0.2747728241892118, 0.0929641629366252, 0.1942104823473427, 0.0743524670584971, 0.06370523794848695, -0.07717313112205483, 0.0013218307867646217, -0.01077277597008098, -0.1550179499332817, 0.09775654036396493, 0.2094599351557529, 0.15391495110642198, 0.23175610571852925, -0.45384885454311585, -0.2577777748975234, 0.21624971704127696, 0.1549960262556043, 0.16512996446178096, -0.09007524937275861, -0.23599864440596002, 0.09176243988908508, -0.17528955184687406, -0.13453703832167846, -0.07130221573389176, -0.04760825438484645, -0.08553309974252668, -0.26865743058455044, 0.030755797592111122, 0.004707089495948619, -0.01713885027023717, -0.031990120166506715, -0.03997625499112038, 0.0004907003643675747, 0.042415363805639185, 0.09377600408445758, 0.06187278425527944, 0.14260853635959136, -0.14485726834266868, -0.10800198322006811, 0.4278205877496328, -0.13167522959590244, -0.17335246672901589, 0.1130777349223932, -0.13617353452942693, -0.13654103798744005, 0.06502543578648733, 0.14625246837958056, 0.04063576151782042, -0.1882878969399593, 0.18702363662628663, -0.00919800502463029, 0.17427552771619242, 0.013733323886353746, 0.011558404649034716, 0.3336574853772027, 0.20073403868601364, 0.031234159182088498, 0.12455585948191583, -0.044648945753454655, -0.10528313339504804, -0.4236095392774058, -0.13897258806655294, -0.1007561826119279, 0.060139160165483624, -0.09609936315836942, -0.1419182201513113, 0.4503522692168625, 0.21217845808157426, 0.22844261506524605, 0.004267046979278263, 0.297394601864995, 0.0759030914085352, 0.055385447616696865, 0.052743159970825806, 0.3064946152767839, 0.0866309413447594, 0.12293245320996413, -0.1615585223552731, -0.0037881445505807544, 0.029916133226142224] |
709.4397 | The Parallel-Sequential Duality : Matrices and Graphs | Usually, mathematical objects have highly parallel interpretations. In this
paper, we consider them as sequential constructors of other objects. In
particular, we prove that every reflexive directed graph can be interpreted as
a program that builds another and is itself builded by another. That leads to
some optimal memory computations, codings similar to modular decompositions and
other strange dynamical phenomenons.
| math.CO cs.IT math.IT | usually mathematical objects have highly parallel interpretations in this paper we consider them as sequential constructors of other objects in particular we prove that every reflexive directed graph can be interpreted as a program that builds another and is itself builded by another that leads to some optimal memory computations codings similar to modular decompositions and other strange dynamical phenomenons | [['usually', 'mathematical', 'objects', 'have', 'highly', 'parallel', 'interpretations', 'in', 'this', 'paper', 'we', 'consider', 'them', 'as', 'sequential', 'constructors', 'of', 'other', 'objects', 'in', 'particular', 'we', 'prove', 'that', 'every', 'reflexive', 'directed', 'graph', 'can', 'be', 'interpreted', 'as', 'a', 'program', 'that', 'builds', 'another', 'and', 'is', 'itself', 'builded', 'by', 'another', 'that', 'leads', 'to', 'some', 'optimal', 'memory', 'computations', 'codings', 'similar', 'to', 'modular', 'decompositions', 'and', 'other', 'strange', 'dynamical', 'phenomenons']] | [-0.13537538959644735, 0.13405765839076292, -0.14720271206460894, 0.10020722585419814, -0.17065580375492573, -0.18480656401758702, 0.03636300855238612, 0.3878285808643947, -0.3437674891203642, -0.2640095718282585, 0.11763352395889039, -0.21757700006322314, -0.19384224262709418, 0.18476612700615078, -0.16754375961609186, -0.007131321184958021, 0.09270590783368486, 0.04241574415937066, -0.04089753951023643, -0.23909216328999416, 0.33136088111011003, -0.011196341117223103, 0.17980025081584852, -0.007420549933643391, 0.0711697978200391, 0.0024987113817284503, -0.023326913764079412, 0.08412653926449518, -0.06902045942636809, 0.1154210978653282, 0.30988086040597407, 0.16677943301619963, 0.23343658000230788, -0.4325739461671522, -0.18421995527266213, 0.12202809353669485, 0.147641335396717, 0.0898232705735912, -0.009927707301297535, -0.2273058822688957, 0.09960553477673481, -0.1746816985309124, -0.08506091090384871, -0.12951738635698953, 0.05671752743752829, 0.022461248096078634, -0.2144616904358069, -0.0063083478676465654, 0.13792682020527233, 0.0310273099069794, -0.02022610798012465, -0.11994928961309294, -0.02894106792130818, 0.09834105706928918, 0.0168767336812986, 0.04518312043898429, 0.10738852783785356, -0.09524380331470941, -0.22713464573025705, 0.38627437899510064, -0.019436417510344958, -0.20878252191469074, 0.2338542356233423, -0.07562049750704318, -0.22718258257955312, 0.05319745450591048, 0.14452792185669144, 0.1329301386140287, -0.1668342960998416, 0.074808953141716, -0.14684154160010318, 0.14614999345503749, 0.10398048140729467, 0.06291064912608514, 0.1784069935946415, 0.1382086590824959, 0.08018055451490606, 0.18856572636092703, 0.0379784098782693, -0.08153204419650137, -0.27876372368385394, -0.17975992677578082, -0.10974802140844986, 0.03809885111404583, -0.08786210946709616, -0.18674800635005037, 0.33905335878953335, 0.14081790452667822, 0.2248015338710199, 0.07099524391815067, 0.265281665045768, 0.08451503671628112, 0.0873555340183278, 0.09676744216897835, 0.1648733953581541, 0.10265930241051441, 0.07716176233564814, -0.09934961143881083, 0.09006692133455847, 0.08965395491880675] |
709.4398 | Spacelike hypersurfaces with constant mean curvature in the steady state
space | We consider complete spacelike hypersurfaces with constant mean curvature in
the open region of de Sitter space known as the steady state space. We prove
that if the hypersurface is bounded away from the infinity of the ambient
space, then the mean curvature must be H=1. Moreover, in the 2-dimensional case
we obtain that the only complete spacelike surfaces with constant mean
curvature which are bounded away from the infinity are the totally umbilical
flat surfaces. We also derive some other consequences for hypersurfaces which
are bounded away from the future infinity. Finally, using an isometrically
equivalent model for the steady state space, we extend our results to a wider
family of spacetimes.
| math.DG math-ph math.MP | we consider complete spacelike hypersurfaces with constant mean curvature in the open region of de sitter space known as the steady state space we prove that if the hypersurface is bounded away from the infinity of the ambient space then the mean curvature must be h1 moreover in the 2dimensional case we obtain that the only complete spacelike surfaces with constant mean curvature which are bounded away from the infinity are the totally umbilical flat surfaces we also derive some other consequences for hypersurfaces which are bounded away from the future infinity finally using an isometrically equivalent model for the steady state space we extend our results to a wider family of spacetimes | [['we', 'consider', 'complete', 'spacelike', 'hypersurfaces', 'with', 'constant', 'mean', 'curvature', 'in', 'the', 'open', 'region', 'of', 'de', 'sitter', 'space', 'known', 'as', 'the', 'steady', 'state', 'space', 'we', 'prove', 'that', 'if', 'the', 'hypersurface', 'is', 'bounded', 'away', 'from', 'the', 'infinity', 'of', 'the', 'ambient', 'space', 'then', 'the', 'mean', 'curvature', 'must', 'be', 'h1', 'moreover', 'in', 'the', '2dimensional', 'case', 'we', 'obtain', 'that', 'the', 'only', 'complete', 'spacelike', 'surfaces', 'with', 'constant', 'mean', 'curvature', 'which', 'are', 'bounded', 'away', 'from', 'the', 'infinity', 'are', 'the', 'totally', 'umbilical', 'flat', 'surfaces', 'we', 'also', 'derive', 'some', 'other', 'consequences', 'for', 'hypersurfaces', 'which', 'are', 'bounded', 'away', 'from', 'the', 'future', 'infinity', 'finally', 'using', 'an', 'isometrically', 'equivalent', 'model', 'for', 'the', 'steady', 'state', 'space', 'we', 'extend', 'our', 'results', 'to', 'a', 'wider', 'family', 'of', 'spacetimes']] | [-0.12936907301170636, 0.14617151039381063, -0.08871415794406713, 0.06783965572537608, -0.08808446487626143, -0.13195327298089335, -0.034895165287683494, 0.3586816495300922, -0.2754774820533441, -0.16964214276501793, 0.1538830053543392, -0.2901684750959409, -0.10198469140228972, 0.18453306681682577, -0.09786152486525583, 0.01236743645215061, 0.04338937508049462, 0.11629751629599955, -0.10579977855415998, -0.28033524062443294, 0.43842514580428865, -0.01586680935151809, 0.21149619145368317, 0.06533653308550902, 0.10155662123177744, -0.030213174467856905, 0.056194204598071826, 0.07192144696538921, -0.25066584492948596, 0.07941428433477352, 0.20611757657952212, 0.1072376211590043, 0.22579981399848398, -0.3928435834174135, -0.2632109493396319, 0.193477011583457, 0.16319292721511647, 0.11782699760535847, -0.004791306696453058, -0.34148736724803075, 0.08271721323933534, -0.06602997280063883, -0.23689867725051875, -0.04103093026453151, -0.02225793969397128, -0.01369595675177015, -0.1575836741934176, 0.08393195658624461, 0.07991329318044328, 0.042049915793524906, -0.1555356973806907, -0.10871585769026615, -0.10873495183052677, 0.11516390970405356, 0.05175971782115181, 0.08522877768423837, 0.08826784487088433, -0.04819715755736142, -0.04397243919444427, 0.31048429275366307, -0.12424313264901016, -0.29133941185355716, 0.1076848493740622, -0.21519478601691996, -0.06830678547246266, 0.13619853741596494, 0.172028616721849, 0.18752530588051386, -0.06914186501562332, 0.1984060450253052, -0.05300509713722014, 0.07682209805919236, 0.1016838387998266, -0.0036403118144407603, 0.1676401104242335, 0.0548621754499927, 0.1675598384828958, 0.160741580124281, -0.05484063380224779, -0.1046154806447067, -0.44491127509195194, -0.21188850658822111, -0.15363299128789026, 0.12160381356015208, -0.14211256271928746, -0.18928589825501688, 0.30979676459363736, 0.037386877709521656, 0.23305686830287486, 0.15598951530049399, 0.24230668370702627, 0.02367648976418165, -0.014193457044430275, 0.19488598302056173, 0.2596712405311739, 0.11211619958841959, 0.05726490215917604, -0.10494615173016765, -0.04572859561829045, 0.06674047231180202] |
709.4399 | Stability of the decagonal quasicrystal in the Lennard-Jones-Gauss
system | Although quasicrystals have been studied for 25 years, there are many open
questions concerning their stability: What is the role of phason fluctuations?
Do quasicrystals transform into periodic crystals at low temperature? If yes,
by what mechanisms? We address these questions here for a simple
two-dimensional model system, a monatomic decagonal quasicrystal, which is
stabilized by the Lennard-Jones-Gauss potential in thermodynamic equilibrium.
It is known to transform to the approximant Xi, when cooled below a critical
temperature. We show that the decagonal phase is an entropically stabilized
random tiling. By determining the average particle energy for a series of
approximants, it is found that the approximant Xi is the one with lowest
potential energy.
| cond-mat.other | although quasicrystals have been studied for 25 years there are many open questions concerning their stability what is the role of phason fluctuations do quasicrystals transform into periodic crystals at low temperature if yes by what mechanisms we address these questions here for a simple twodimensional model system a monatomic decagonal quasicrystal which is stabilized by the lennardjonesgauss potential in thermodynamic equilibrium it is known to transform to the approximant xi when cooled below a critical temperature we show that the decagonal phase is an entropically stabilized random tiling by determining the average particle energy for a series of approximants it is found that the approximant xi is the one with lowest potential energy | [['although', 'quasicrystals', 'have', 'been', 'studied', 'for', '25', 'years', 'there', 'are', 'many', 'open', 'questions', 'concerning', 'their', 'stability', 'what', 'is', 'the', 'role', 'of', 'phason', 'fluctuations', 'do', 'quasicrystals', 'transform', 'into', 'periodic', 'crystals', 'at', 'low', 'temperature', 'if', 'yes', 'by', 'what', 'mechanisms', 'we', 'address', 'these', 'questions', 'here', 'for', 'a', 'simple', 'twodimensional', 'model', 'system', 'a', 'monatomic', 'decagonal', 'quasicrystal', 'which', 'is', 'stabilized', 'by', 'the', 'lennardjonesgauss', 'potential', 'in', 'thermodynamic', 'equilibrium', 'it', 'is', 'known', 'to', 'transform', 'to', 'the', 'approximant', 'xi', 'when', 'cooled', 'below', 'a', 'critical', 'temperature', 'we', 'show', 'that', 'the', 'decagonal', 'phase', 'is', 'an', 'entropically', 'stabilized', 'random', 'tiling', 'by', 'determining', 'the', 'average', 'particle', 'energy', 'for', 'a', 'series', 'of', 'approximants', 'it', 'is', 'found', 'that', 'the', 'approximant', 'xi', 'is', 'the', 'one', 'with', 'lowest', 'potential', 'energy']] | [-0.12091390518349056, 0.22606724124565708, -0.08590971849237879, 0.09360687742459081, -0.020799315650947392, -0.15903386731811783, 0.046988463014968784, 0.37666610814630985, -0.30342767369655665, -0.25260985145557735, 0.1361387735835211, -0.3044242875225711, -0.15352757073317966, 0.17069202887400853, 0.004977674317431816, 0.0633041798627298, -0.01270376899963977, 0.03870752312267493, -0.055986505834050806, -0.273002769561125, 0.2716323046744883, 0.08675352455394571, 0.23923204730166808, 0.038482668041660076, 0.06671396255689233, -0.05802832382706631, 0.10308344521674148, 0.006793720749811384, -0.20472062845255368, 0.018061301508918916, 0.2292714102373442, 0.010658174832841675, 0.2631631812668945, -0.378366920435311, -0.23644310655072331, 0.10954488064070526, 0.14888084015253475, 0.0953152552114293, -0.08238439334621817, -0.19684271328151226, 0.11075685292343494, -0.11004136183315463, -0.18700973664741277, -0.13014351504777247, 0.06661392676055823, 0.013943007750959512, -0.19699479822118424, 0.0799573783664719, 0.10335964456265956, 0.0760066735051703, -0.09169382461869534, -0.11147738824569899, -0.027460159100755527, 0.04659211025660114, 0.034292049431282896, 0.055447976517474705, 0.12009097109221968, -0.09061338896291297, -0.08733818910427783, 0.4277642570076543, 0.0002524349613834107, -0.16814170504528048, 0.16549035675594942, -0.14915154534882227, -0.1375945106581703, 0.1844203828981048, 0.06374248690707118, 0.07401844970228379, -0.13828185800191836, 0.09284185923522607, -0.03611910584170306, 0.2209716840931051, 0.11566388925227027, -0.007137658719888381, 0.2680984171630259, 0.19044225283882074, 0.026377195953452764, 0.1477061264960324, -0.02659759313080525, -0.11032330249681284, -0.20234527269770441, -0.12949189274947634, -0.21631563907048026, 0.045035366156841054, -0.04833978615505131, -0.20064033851386948, 0.36304008127435256, 0.11998005563458591, 0.16107563493087104, -0.03316034168605447, 0.22662442070922176, 0.12045582289921872, 0.03310868771248415, 0.02814485727025098, 0.2414936127872288, 0.11316396698372014, 0.08140651871891398, -0.1963017065682563, 0.032165899770661144, 0.091705866345907] |
709.44 | MMT Extremely Metal Poor Galaxy Survey I. An Efficient Technique to
Identify Metal Poor Galaxies | We demonstrate a successful strategy for identifying extremely metal poor
galaxies. Our preliminary survey of 24 candidates contains 10 metal poor
galaxies of which 4 have 12+log(O/H)<7.65, some of the lowest metallicity blue
compact galaxies known to date. Interestingly, our sample of metal poor
galaxies have systematically lower metallicity for their luminosity than
comparable samples of blue compact galaxies, dIrrs, and normal star-forming
galaxies. Our metal poor galaxies share very similar properties, however, with
the host galaxies of nearby long-duration gamma-ray bursts (GRBs), including
similar metallicity, stellar ages, and star formation rates. We use H\beta to
measure the number of OB stars present in our galaxies and estimate a
core-collapse supernova rate of ~10^-3 yr^-1. A larger sample of metal poor
galaxies may provide new clues into the environment where GRBs form and may
provide a list of potential GRB hosts.
| astro-ph | we demonstrate a successful strategy for identifying extremely metal poor galaxies our preliminary survey of 24 candidates contains 10 metal poor galaxies of which 4 have 12logoh765 some of the lowest metallicity blue compact galaxies known to date interestingly our sample of metal poor galaxies have systematically lower metallicity for their luminosity than comparable samples of blue compact galaxies dirrs and normal starforming galaxies our metal poor galaxies share very similar properties however with the host galaxies of nearby longduration gammaray bursts grbs including similar metallicity stellar ages and star formation rates we use hbeta to measure the number of ob stars present in our galaxies and estimate a corecollapse supernova rate of 103 yr1 a larger sample of metal poor galaxies may provide new clues into the environment where grbs form and may provide a list of potential grb hosts | [['we', 'demonstrate', 'a', 'successful', 'strategy', 'for', 'identifying', 'extremely', 'metal', 'poor', 'galaxies', 'our', 'preliminary', 'survey', 'of', '24', 'candidates', 'contains', '10', 'metal', 'poor', 'galaxies', 'of', 'which', '4', 'have', '12logoh765', 'some', 'of', 'the', 'lowest', 'metallicity', 'blue', 'compact', 'galaxies', 'known', 'to', 'date', 'interestingly', 'our', 'sample', 'of', 'metal', 'poor', 'galaxies', 'have', 'systematically', 'lower', 'metallicity', 'for', 'their', 'luminosity', 'than', 'comparable', 'samples', 'of', 'blue', 'compact', 'galaxies', 'dirrs', 'and', 'normal', 'starforming', 'galaxies', 'our', 'metal', 'poor', 'galaxies', 'share', 'very', 'similar', 'properties', 'however', 'with', 'the', 'host', 'galaxies', 'of', 'nearby', 'longduration', 'gammaray', 'bursts', 'grbs', 'including', 'similar', 'metallicity', 'stellar', 'ages', 'and', 'star', 'formation', 'rates', 'we', 'use', 'hbeta', 'to', 'measure', 'the', 'number', 'of', 'ob', 'stars', 'present', 'in', 'our', 'galaxies', 'and', 'estimate', 'a', 'corecollapse', 'supernova', 'rate', 'of', '103', 'yr1', 'a', 'larger', 'sample', 'of', 'metal', 'poor', 'galaxies', 'may', 'provide', 'new', 'clues', 'into', 'the', 'environment', 'where', 'grbs', 'form', 'and', 'may', 'provide', 'a', 'list', 'of', 'potential', 'grb', 'hosts']] | [-0.015340392780490219, 0.07070187248796823, -0.037956549140757745, 0.18559812926604147, -0.14897276935101086, -0.0708458099622346, 0.13380974209035879, 0.4840845355231847, 0.0008934303120310817, -0.36436651588550634, -0.02718818350445612, -0.32018778292861366, 0.009319744722701476, 0.24488413466439982, -0.06247975097628244, -0.0907360198574939, 0.08594054554954969, -0.15217844394459723, -0.07591284306254238, -0.35619250236694433, 0.27151353898557967, 0.04868150119270597, 0.1898256171176659, -0.11591573988220522, 0.030689148829385105, -0.2136961791797408, -0.06771744483682726, -0.08145416645732309, -0.16946526676682488, -0.014091847158436263, 0.28669856700216767, 0.12360472676477262, 0.25541410511193263, -0.35267129906268174, -0.19545061267479988, 0.10733236691760664, 0.24271550994100316, 0.027251322377040716, -0.2052089500839689, -0.2873846029064485, 0.0992907026283709, -0.19094053343869746, -0.17542006971613902, 0.10815037241471666, 0.030352318970316056, 0.0831796536479877, -0.1842184138351253, 0.18661444277053565, 0.021810134763031133, 0.11138033793706979, -0.071721933898516, -0.11220076143675084, -0.06330321501674396, 0.07959025668512498, -0.008159358194097877, 0.08308624444013861, 0.20278487509578033, -0.16336927609996305, 0.057388729781710675, 0.4680062233403857, -0.03753662218358451, 0.09510660468201552, 0.30257202539526457, -0.23761328290150102, -0.1912047040116574, 0.11394125588121824, 0.18987197046933163, 0.141127698778707, -0.19354996957450307, -0.07534037002062957, -0.005890021406646286, 0.19768859326307262, -0.027791750085140978, 0.17060183810935997, 0.31746342400355, 0.1259627178377871, 0.05275286236179194, 0.059480584003696484, -0.19977035245059857, 0.04608873016467052, -0.17793638655400304, -0.1406409144002412, -0.11976525886316917, 0.1725050788988093, -0.21802521541186642, -0.1514433479003076, 0.3506740649812855, 0.07142125082900748, 0.240431021747645, 0.11136879411476132, 0.262596435490663, 0.021829891304618546, 0.14696051800773213, 0.11339983502735516, 0.304836310670154, 0.1834399377794138, 0.016075595588024173, -0.21955271267964105, 0.1280448618877147, -0.023301877726667693] |
709.4401 | Classification of interest rate curves using Self-Organising Maps | The present study deals with the analysis and classification of interest rate
curves. Interest rate curves (IRC) are the basic financial curves in many
different fields of economics and finance. They are extremely important tools
in banking and financial risk management problems. Interest rates depend on
time and maturity which defines term structure of the interest rate curves. IRC
are composed of interest rates at different maturities (usually fixed number)
which move coherently in time. In the present study machine learning
algorithms, namely Self-Organising maps - SOM (Kohonen maps), are used to find
clusters and to classify Swiss franc (CHF) interest rate curves.
| physics.data-an | the present study deals with the analysis and classification of interest rate curves interest rate curves irc are the basic financial curves in many different fields of economics and finance they are extremely important tools in banking and financial risk management problems interest rates depend on time and maturity which defines term structure of the interest rate curves irc are composed of interest rates at different maturities usually fixed number which move coherently in time in the present study machine learning algorithms namely selforganising maps som kohonen maps are used to find clusters and to classify swiss franc chf interest rate curves | [['the', 'present', 'study', 'deals', 'with', 'the', 'analysis', 'and', 'classification', 'of', 'interest', 'rate', 'curves', 'interest', 'rate', 'curves', 'irc', 'are', 'the', 'basic', 'financial', 'curves', 'in', 'many', 'different', 'fields', 'of', 'economics', 'and', 'finance', 'they', 'are', 'extremely', 'important', 'tools', 'in', 'banking', 'and', 'financial', 'risk', 'management', 'problems', 'interest', 'rates', 'depend', 'on', 'time', 'and', 'maturity', 'which', 'defines', 'term', 'structure', 'of', 'the', 'interest', 'rate', 'curves', 'irc', 'are', 'composed', 'of', 'interest', 'rates', 'at', 'different', 'maturities', 'usually', 'fixed', 'number', 'which', 'move', 'coherently', 'in', 'time', 'in', 'the', 'present', 'study', 'machine', 'learning', 'algorithms', 'namely', 'selforganising', 'maps', 'som', 'kohonen', 'maps', 'are', 'used', 'to', 'find', 'clusters', 'and', 'to', 'classify', 'swiss', 'franc', 'chf', 'interest', 'rate', 'curves']] | [-0.12264477258876842, 0.046231561988665196, -0.03614762065219967, 0.10699168282250564, -0.059997898088220286, -0.13386994344638845, 0.04599947509282798, 0.40858444944024086, -0.272820225204615, -0.2623139399231649, 0.18634754060037143, -0.2888486181550166, -0.154153369074943, 0.28601557816214424, -0.14387567019930073, 0.044775540705350246, 0.03489412823760444, 0.026509421087764933, 0.030850049974533784, -0.3248134124384937, 0.27999800765046884, 0.017971696800040994, 0.36035716921711963, -0.025962657313428672, 0.07844363118284474, -0.006361715052751642, -0.10098484019274075, -0.040129759303275864, -0.1609146770674224, 0.16773478365697278, 0.37767372636453195, 0.17340947187268266, 0.3197284955371573, -0.38918150177992444, -0.23372319581754067, 0.1639007235598732, 0.08709006232446899, 0.03790375891520514, -0.025440715478194476, -0.22570547594588397, -0.004258703462112987, -0.147073393034767, -0.11609280124927561, -0.09338201874611425, 0.03730708200886261, 0.11411699983656552, -0.21239022974338034, 0.042714452307086946, -0.01902174242594115, 0.13805453630858192, -0.057483244819712696, -0.12376735849059461, -0.033076632854656556, 0.18716428976268598, 0.12830937024680714, 0.0004659724335058355, 0.16262682555608599, -0.17254850012364378, -0.12030566576868296, 0.34965861665071263, -0.05915017257554128, -0.11686450743696232, 0.21404775605861134, -0.09675887373604757, -0.17652157722406236, 0.1534845474833513, 0.2738468059265584, 0.10263899544838305, -0.20021437096703962, 0.07343181658835224, 0.029419792249944864, 0.15384071713824773, 0.06287704652869235, 0.033112073262386466, 0.21988971442139396, 0.13975160702259518, 0.027265250601225952, 0.12640493912462547, -0.08583994626350627, -0.16936587588405053, -0.22397427450792462, -0.1003451366844934, -0.08388615197812517, 0.0024886730768462167, -0.10908872577491303, -0.15165905103854396, 0.37569434725332496, 0.10777640155534826, 0.18008832893717816, 0.050528911255099174, 0.24727200473859615, 0.06967833916903199, 0.030361841661015562, 0.09263374097645283, 0.17534804675618515, 0.06663275883286535, 0.140748928533867, -0.13541098780856997, 0.12847136891008737, 0.06057378649711609] |
709.4402 | Operators on superspaces and generalizations of the Gelfand-Kolmogorov
theorem | (Write-up of a talk at the Bialowieza meeting, July 2007.)
Gelfand and Kolmogorov in 1939 proved that a compact Hausdorff topological
space $X$ can be canonically embedded into the infinite-dimensional vector
space $C(X)^* $, the dual space of the algebra of continuous functions $C(X)$
as an "algebraic variety" specified by an infinite system of quadratic
equations.
Buchstaber and Rees have recently extended this to all symmetric powers
$\Sym^n(X)$ using their notion of the Frobenius $n$-homomorphisms.
We give a simplification and a further extension of this theory, which is
based, rather unexpectedly, on results from super linear lgebra.
| math-ph math.MP math.RA | writeup of a talk at the bialowieza meeting july 2007 gelfand and kolmogorov in 1939 proved that a compact hausdorff topological space x can be canonically embedded into the infinitedimensional vector space cx the dual space of the algebra of continuous functions cx as an algebraic variety specified by an infinite system of quadratic equations buchstaber and rees have recently extended this to all symmetric powers symnx using their notion of the frobenius nhomomorphisms we give a simplification and a further extension of this theory which is based rather unexpectedly on results from super linear lgebra | [['writeup', 'of', 'a', 'talk', 'at', 'the', 'bialowieza', 'meeting', 'july', '2007', 'gelfand', 'and', 'kolmogorov', 'in', '1939', 'proved', 'that', 'a', 'compact', 'hausdorff', 'topological', 'space', 'x', 'can', 'be', 'canonically', 'embedded', 'into', 'the', 'infinitedimensional', 'vector', 'space', 'cx', 'the', 'dual', 'space', 'of', 'the', 'algebra', 'of', 'continuous', 'functions', 'cx', 'as', 'an', 'algebraic', 'variety', 'specified', 'by', 'an', 'infinite', 'system', 'of', 'quadratic', 'equations', 'buchstaber', 'and', 'rees', 'have', 'recently', 'extended', 'this', 'to', 'all', 'symmetric', 'powers', 'symnx', 'using', 'their', 'notion', 'of', 'the', 'frobenius', 'nhomomorphisms', 'we', 'give', 'a', 'simplification', 'and', 'a', 'further', 'extension', 'of', 'this', 'theory', 'which', 'is', 'based', 'rather', 'unexpectedly', 'on', 'results', 'from', 'super', 'linear', 'lgebra']] | [-0.12078607711760748, 0.09858007954154414, -0.13213305155526325, 0.07255590782545868, -0.11966823872118708, -0.09941734970417074, -0.009180230755729461, 0.29656077308520196, -0.31196279311051933, -0.21983628325484772, 0.12471124704461545, -0.2348007010696556, -0.1524306129944581, 0.1910286401899191, -0.11517094614194526, -0.005774707783774663, 0.01962385376695023, 0.0789141673769962, -0.13515209266164852, -0.30746026656099706, 0.3875560647387418, 0.025213232704548425, 0.22158852036321355, 0.013100135140120983, 0.16284235702547176, 0.026630089620769185, -0.0373328742070464, 0.020871748420802916, -0.10695022677851564, 0.15873506405861468, 0.290495649107822, 0.11096927928688224, 0.24483844488909248, -0.381986194210107, -0.15310437771521748, 0.1258633811632672, 0.10556024254389829, -0.011782283931019245, -0.01624087044613696, -0.319796670323378, 0.08375392417218136, -0.220503789953567, -0.11862587910245663, -0.045279688231887355, 0.10382502766886867, -0.0076705218667993125, -0.22881170230547107, -0.03360649653940752, 0.1313476716819149, 0.10605278750380842, -0.07439753205655643, -0.07208790381999827, -0.06897902368788197, 0.014441984590463421, -0.03977203487308435, 0.10568062058820199, 0.045469036561146536, -0.03518622676511445, -0.14815378278714195, 0.3536157464828863, -0.060880818401753745, -0.20750200572193309, 0.14852879760456422, -0.16190714774132575, -0.15685990190644178, 0.15111972507770344, 0.15603311752439827, 0.12605905689058766, -0.08403370376195639, 0.23574751832645127, -0.1466786997913513, 0.0930163489031275, 0.07527683490026062, 0.05864131351512286, 0.1607014892362459, 0.09310520139913406, 0.048441378061749765, 0.1450419444202756, 0.0338896941719076, -0.07872667855092434, -0.35921039484361167, -0.18095960899040864, -0.14732968176449698, 0.12003871384802806, -0.07468650154021483, -0.16300533866129255, 0.36523143378817424, 0.04592739339537358, 0.18148834696440128, 0.058219476223682926, 0.1989394313034912, 0.14220157611779669, 0.004064969941272691, 0.08490953444733575, 0.1520554164264311, 0.199202961150697, 0.08010968125815834, -0.12990357970971594, -0.022911351825040515, 0.2055827528038012] |
709.4403 | Minimal Affine Coordinates for SL(3,C) Character Varieties of Free
Groups | Let X be the moduli of SL(3,C) representations of a rank r free group. In
this paper we determine minimal generators of the coordinate ring of X. This at
once gives explicit global coordinates for the moduli and determines the
dimension of the moduli's minimal affine embedding. Along the way, we utilize
results concerning the moduli of r-tuples of matrices in gl(3,C). Consequently,
we also state general invariant theoretic correspondences between the
coordinate rings of the moduli of r-tuples of elements in gl(n,C), sl(n,C), and
SL(n,C).
| math.AG math.AC | let x be the moduli of sl3c representations of a rank r free group in this paper we determine minimal generators of the coordinate ring of x this at once gives explicit global coordinates for the moduli and determines the dimension of the modulis minimal affine embedding along the way we utilize results concerning the moduli of rtuples of matrices in gl3c consequently we also state general invariant theoretic correspondences between the coordinate rings of the moduli of rtuples of elements in glnc slnc and slnc | [['let', 'x', 'be', 'the', 'moduli', 'of', 'sl3c', 'representations', 'of', 'a', 'rank', 'r', 'free', 'group', 'in', 'this', 'paper', 'we', 'determine', 'minimal', 'generators', 'of', 'the', 'coordinate', 'ring', 'of', 'x', 'this', 'at', 'once', 'gives', 'explicit', 'global', 'coordinates', 'for', 'the', 'moduli', 'and', 'determines', 'the', 'dimension', 'of', 'the', 'modulis', 'minimal', 'affine', 'embedding', 'along', 'the', 'way', 'we', 'utilize', 'results', 'concerning', 'the', 'moduli', 'of', 'rtuples', 'of', 'matrices', 'in', 'gl3c', 'consequently', 'we', 'also', 'state', 'general', 'invariant', 'theoretic', 'correspondences', 'between', 'the', 'coordinate', 'rings', 'of', 'the', 'moduli', 'of', 'rtuples', 'of', 'elements', 'in', 'glnc', 'slnc', 'and', 'slnc']] | [-0.21161277175252868, 0.10715206382731192, -0.10749569233658529, 0.008366554214749052, -0.05805832439990238, -0.08967230962264504, 0.01734045833527912, 0.3261403200909669, -0.33964213434346885, -0.18548269422053423, 0.0711468187591256, -0.23644751603823416, -0.137363072593025, 0.13363714433859947, -0.13900746096488695, -0.045661751050935236, 0.0034722816930044184, 0.12008400741141549, -0.18331268337165374, -0.3013928375791672, 0.4090422831454076, -0.015706030413681685, 0.2337896362120329, 0.004515137166044739, 0.17289679475127973, 0.06042078724889041, -0.051612221018606144, -0.031003612724436056, -0.16300128576843892, 0.19903903471869092, 0.3073379624835324, 0.08059549921592914, 0.10534661028501686, -0.4005372936317567, -0.10846001450188977, 0.22606477363381622, 0.15892877895385027, 0.03053164633998084, 0.014384915023435687, -0.21824140227291472, 0.11160156325177224, -0.16731726428017366, -0.18902857094829859, -0.07731252378069384, 0.07866556640459918, 0.000602088186370079, -0.23164208702266562, -0.00944843485194724, 0.053495219329285415, 0.13580251497021595, -0.08000446674021416, -0.09615950686938324, -0.08191142647613793, 0.09970497293803884, 0.02711160949344725, 0.03810013955740561, 0.07938274011275796, -0.10873299329487476, -0.0625159704169735, 0.39022885600299856, -0.03411755378650458, -0.2399937664700109, 0.11085144429586741, -0.14363564099902612, -0.14134901939609715, 0.09843761152262952, 0.13834552799329855, 0.16339211059269917, -0.026761958971186432, 0.25434955341476123, -0.14713992558549657, 0.08554658503136273, 0.074957066843676, 0.027684283928084728, 0.13212869290349094, 0.057657347017422665, 0.08597425703902804, 0.13539352013017483, 0.005234921426203665, -0.025716317882544772, -0.4170830569468265, -0.24193440781646344, -0.0894262776466433, 0.1282629916217005, -0.18028857138212284, -0.13775078065390156, 0.4528615515419217, 0.07439572254715618, 0.22646240720005575, 0.06978668223221808, 0.1869715185684347, 0.007446089477906394, 0.05257064380228173, 0.0670932834090795, 0.11673349230333643, 0.19685270033538516, -0.06325274890120856, -0.1840064277179366, -0.03447802990490874, 0.23630528300350837] |
709.4404 | Theory of Relaxation Dynamics in Glass-Forming Hydrogen-Bonded Liquids | We address the relaxation dynamics in hydrogen-bonded super-cooled liquids
near the glass transition, measured via Broad-Band Dielectric Spectroscopy
(BDS). We propose a theory based on decomposing the relaxation of the
macroscopic dipole moment into contributions from hydrogen bonded clusters of
$s$ molecules, with $s_{min}\le s \le s_{max}$. The existence of $s_{max}$ is
due to dynamical arrest and its value may depend on the cooling protocol and on
the aging time. The existence of $s_{max}$ is translated into a sum-rule on the
concentrations of clusters of size $s$. We construct the statistical mechanics
of the super-cooled liquid subject to this sum-rule as a constraint, to
estimate the temperature-dependent density of clusters of size $s$. With a
theoretical estimate of the relaxation time of each cluster we provide
predictions for the real and imaginary part of the frequency dependent
dielectric response. The predicted spectra and their temperature dependence are
in accord with measurements, explaining a host of phenomenological fits like
the Vogel-Fulcher fit and the stretched exponential fit. Using glycerol as a
particular example we demonstrate quantitative correspondence between theory
and experiments. The theory also demonstrates that the $\alpha$ peak and the
"excess wing" stem from the same physics in this material. The theory also
shows that in other hydrogen -bonded glass formers the "excess wing" can
develop into a $\beta$ peak, depending on the molecular material parameters
(predominantly the surface energy of the clusters). We thus argue that $\alpha$
and $\beta$ peaks can stem from the same physics. Finally we address the BDS in
constrained geometries (pores) and explain why recent experiments on glycerol
did not show a deviation from bul k spectra.
| cond-mat.soft cond-mat.stat-mech | we address the relaxation dynamics in hydrogenbonded supercooled liquids near the glass transition measured via broadband dielectric spectroscopy bds we propose a theory based on decomposing the relaxation of the macroscopic dipole moment into contributions from hydrogen bonded clusters of s molecules with s_minle s le s_max the existence of s_max is due to dynamical arrest and its value may depend on the cooling protocol and on the aging time the existence of s_max is translated into a sumrule on the concentrations of clusters of size s we construct the statistical mechanics of the supercooled liquid subject to this sumrule as a constraint to estimate the temperaturedependent density of clusters of size s with a theoretical estimate of the relaxation time of each cluster we provide predictions for the real and imaginary part of the frequency dependent dielectric response the predicted spectra and their temperature dependence are in accord with measurements explaining a host of phenomenological fits like the vogelfulcher fit and the stretched exponential fit using glycerol as a particular example we demonstrate quantitative correspondence between theory and experiments the theory also demonstrates that the alpha peak and the excess wing stem from the same physics in this material the theory also shows that in other hydrogen bonded glass formers the excess wing can develop into a beta peak depending on the molecular material parameters predominantly the surface energy of the clusters we thus argue that alpha and beta peaks can stem from the same physics finally we address the bds in constrained geometries pores and explain why recent experiments on glycerol did not show a deviation from bul k spectra | [['we', 'address', 'the', 'relaxation', 'dynamics', 'in', 'hydrogenbonded', 'supercooled', 'liquids', 'near', 'the', 'glass', 'transition', 'measured', 'via', 'broadband', 'dielectric', 'spectroscopy', 'bds', 'we', 'propose', 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709.4405 | Exciting gauge unstable modes of the quark-gluon plasma by relativistic
jets | We present a study of the properties of the collective modes of a system
composed by a thermalized quark-gluon plasma traversed by a relativistic jet of
partons. We find that when the jet traverses the system unstable gauge field
modes are excited and grow on very short time scales. The aim is to provide a
novel mechanism for the description of the jet quenching phenomenon, where the
jet crossing the plasma loses energy exciting colored unstable modes. In order
to simplify the analysis we employ a linear response approximation, valid for
short time scales. We assume that the partons in the jet can be described with
a tsunami-like distribution function, whereas we treat the quark-gluon plasma
employing two different approaches. In the first approach we adopt a Vlasov
approximation for the kinetic equations, in the second approach we solve a set
of fluid equations. In both cases we derive the expressions of the dispersion
law of the collective unstable modes and compare the results obtained.
| hep-ph nucl-th | we present a study of the properties of the collective modes of a system composed by a thermalized quarkgluon plasma traversed by a relativistic jet of partons we find that when the jet traverses the system unstable gauge field modes are excited and grow on very short time scales the aim is to provide a novel mechanism for the description of the jet quenching phenomenon where the jet crossing the plasma loses energy exciting colored unstable modes in order to simplify the analysis we employ a linear response approximation valid for short time scales we assume that the partons in the jet can be described with a tsunamilike distribution function whereas we treat the quarkgluon plasma employing two different approaches in the first approach we adopt a vlasov approximation for the kinetic equations in the second approach we solve a set of fluid equations in both cases we derive the expressions of the dispersion law of the collective unstable modes and compare the results obtained | [['we', 'present', 'a', 'study', 'of', 'the', 'properties', 'of', 'the', 'collective', 'modes', 'of', 'a', 'system', 'composed', 'by', 'a', 'thermalized', 'quarkgluon', 'plasma', 'traversed', 'by', 'a', 'relativistic', 'jet', 'of', 'partons', 'we', 'find', 'that', 'when', 'the', 'jet', 'traverses', 'the', 'system', 'unstable', 'gauge', 'field', 'modes', 'are', 'excited', 'and', 'grow', 'on', 'very', 'short', 'time', 'scales', 'the', 'aim', 'is', 'to', 'provide', 'a', 'novel', 'mechanism', 'for', 'the', 'description', 'of', 'the', 'jet', 'quenching', 'phenomenon', 'where', 'the', 'jet', 'crossing', 'the', 'plasma', 'loses', 'energy', 'exciting', 'colored', 'unstable', 'modes', 'in', 'order', 'to', 'simplify', 'the', 'analysis', 'we', 'employ', 'a', 'linear', 'response', 'approximation', 'valid', 'for', 'short', 'time', 'scales', 'we', 'assume', 'that', 'the', 'partons', 'in', 'the', 'jet', 'can', 'be', 'described', 'with', 'a', 'tsunamilike', 'distribution', 'function', 'whereas', 'we', 'treat', 'the', 'quarkgluon', 'plasma', 'employing', 'two', 'different', 'approaches', 'in', 'the', 'first', 'approach', 'we', 'adopt', 'a', 'vlasov', 'approximation', 'for', 'the', 'kinetic', 'equations', 'in', 'the', 'second', 'approach', 'we', 'solve', 'a', 'set', 'of', 'fluid', 'equations', 'in', 'both', 'cases', 'we', 'derive', 'the', 'expressions', 'of', 'the', 'dispersion', 'law', 'of', 'the', 'collective', 'unstable', 'modes', 'and', 'compare', 'the', 'results', 'obtained']] | [-0.1514662258651559, 0.19252020766619932, -0.16275973551709091, 0.09183638910692411, -0.043856444850451114, -0.0902330834220982, -0.010366500616355828, 0.3371029221932545, -0.2364204110168485, -0.24713020505327166, 0.01612003523729403, -0.2590483381554033, -0.0656898435543884, 0.14022611223133, 0.04952117438907876, 0.03310122075067325, 0.06663502530251263, 0.003209031843333364, -0.03925912490407372, -0.15181031932518113, 0.32344225787092, 0.047064161229575276, 0.24511930000488505, 0.04424548637912129, 0.128886188659817, 0.0013438042860026613, -0.020866294227766268, 0.04181269846906644, -0.14215308494043932, 0.0459894704378464, 0.20109856069426646, 0.06431826107683733, 0.26117900606583466, -0.46063688366927885, -0.21165603513575412, 0.009428155682557686, 0.18106006423688747, 0.13319893395810417, -0.012512294803199245, -0.2072141102486939, 0.06117344481912865, -0.207275590032452, -0.1872487862629703, -0.06261232527763103, -0.011877365082248369, 0.020751823641529138, -0.28124290706138266, 0.09413042663399017, 0.05881096080058452, -0.016408562885992455, -0.06966130404422681, -0.056584684815342456, -0.0004847435605232463, 0.0794237795252367, 0.08157878783531487, 0.01897255612226824, 0.13878571362037098, -0.17695261546777505, -0.08882525045086037, 0.41203979976249466, -0.08371043110223995, -0.19155451319009334, 0.18254450995079946, -0.1625067202713002, -0.12066636761847996, 0.14895619104870342, 0.21942001243940357, 0.1670493297683248, -0.1254371151995711, 0.03577027354661947, -0.02881466751833531, 0.1388590835881504, 0.0562021213357873, 0.037085850618666774, 0.20020705692357185, 0.17899956945188794, 0.003119289267554202, 0.1785927200471192, -0.06592314750746345, -0.09165922026855476, -0.3484971833330664, -0.1162890467891526, -0.1558277773981293, 0.022983436416975703, -0.06370576406585646, -0.15362591394082165, 0.43931559590679226, 0.13012455605591336, 0.20196420199830423, 0.035506856351187735, 0.31250189123957445, 0.16015001052195052, 0.012577809063562503, 0.14926494392425274, 0.277121411088967, 0.14455565964012887, 0.11666204229731, -0.25897717290349787, 0.009813527038998224, 0.0890559772325849] |
709.4406 | Small x gluon from exclusive J/psi production | Exclusive J/psi production, gamma* p -> J/psi p, offers a unique opportunity
to determine the gluon density of the proton in the small x domain. We use the
available HERA data to determine the gluon distribution in the region 10^{-4}
<~ x <~ 10^{-2} and 2 <~ Q^2 <~ 10 GeV^2, where the uncertainty on the gluon
extracted from the global parton analyses is large. The gluon density is found
to be approximately flat at the lower scale; it is compared with those of
recent global analyses.
| hep-ph | exclusive jpsi production gamma p jpsi p offers a unique opportunity to determine the gluon density of the proton in the small x domain we use the available hera data to determine the gluon distribution in the region 104 x 102 and 2 q2 10 gev2 where the uncertainty on the gluon extracted from the global parton analyses is large the gluon density is found to be approximately flat at the lower scale it is compared with those of recent global analyses | [['exclusive', 'jpsi', 'production', 'gamma', 'p', 'jpsi', 'p', 'offers', 'a', 'unique', 'opportunity', 'to', 'determine', 'the', 'gluon', 'density', 'of', 'the', 'proton', 'in', 'the', 'small', 'x', 'domain', 'we', 'use', 'the', 'available', 'hera', 'data', 'to', 'determine', 'the', 'gluon', 'distribution', 'in', 'the', 'region', '104', 'x', '102', 'and', '2', 'q2', '10', 'gev2', 'where', 'the', 'uncertainty', 'on', 'the', 'gluon', 'extracted', 'from', 'the', 'global', 'parton', 'analyses', 'is', 'large', 'the', 'gluon', 'density', 'is', 'found', 'to', 'be', 'approximately', 'flat', 'at', 'the', 'lower', 'scale', 'it', 'is', 'compared', 'with', 'those', 'of', 'recent', 'global', 'analyses']] | [-0.038360518154194126, 0.18956286672548187, -0.1501263734861845, 0.1369882496286797, -0.031310972910965, -0.0374577126399012, 0.038981242826571914, 0.3384549854459559, -0.2089103128897344, -0.24010869225049847, 0.0043297070781302795, -0.328803480125782, 0.07441895164367629, 0.12190921796576643, 0.05307078130206763, 0.09862290290553441, 0.05569857212419554, 0.030183801904502438, -0.049047607281131715, -0.22075457364411616, 0.3040607125702791, 0.04149150964236114, 0.27312399401533893, 0.12935593961056593, 0.06815804627570664, 0.02109138841354629, -0.0810783505063538, -0.0777492129084904, -0.20328747383574386, 0.07822279341337157, 0.2810025582141129, 0.0996990246789121, 0.156993192631933, -0.33049896200437373, -0.10315030729170979, 0.09239088098813848, 0.10738569433607797, 0.04549234666259641, 0.031980232156744996, -0.23774492035324618, 0.14337301662010027, -0.216347356440454, -0.1391101219469863, -0.0598202039623951, 0.04435063606673261, -0.0334475420120104, -0.3672201310443442, 0.08531698735612558, -0.09264460965854729, -0.0008481199790655476, -0.014812545541378602, -0.22620306157211706, -0.07064658440592722, 0.034404356401731694, 0.10593390244729363, 0.21072260035974225, 0.17761518566573903, -0.17378246125469848, -0.084055128984335, 0.36693602941203407, -0.016711410123673155, -0.14992544369590355, 0.1314373215739956, -0.3080705373729693, -0.1255357514487625, 0.22390769186668188, 0.2142103326438767, 0.08471150852302543, -0.1576774387347807, 0.14822775321918902, -0.04723685594536818, 0.21528369792248692, 0.08830952406974464, 0.05014177482779615, 0.1393103612723147, 0.21200584238622247, 0.00022712155676833014, 0.05809571495046839, -0.14829855031623482, -0.027634583913334985, -0.3709170263169742, -0.05989206866247625, -0.1186281938514695, 0.13129825687899097, -0.132512375774684, -0.054766134336227325, 0.3276286957808202, 0.08596642758901708, 0.28573768024855273, -0.009273793625009314, 0.31296698621860364, 0.10582075215785242, 0.07254637393350827, 0.11971425231568879, 0.24341693586419996, 0.1585206286697762, 0.14352483594812815, -0.2026896276312494, 0.036613801336654164, -0.023191798506758926] |
709.4407 | Computing twisted conjugacy classes in free groups using nilpotent
quotients | There currently exists no algebraic algorithm for computing twisted conjugacy
classes in free groups. We propose a new technique for deciding twisted
conjugacy relations using nilpotent quotients. Our technique is generalization
of the common abelianization method, but admits significantly greater rates of
success. We present experimental results demonstrating the efficacy of the
technique, and detail how it can be applied the related settings of surface
groups and doubly twisted conjugacy.
| math.GR math.GN | there currently exists no algebraic algorithm for computing twisted conjugacy classes in free groups we propose a new technique for deciding twisted conjugacy relations using nilpotent quotients our technique is generalization of the common abelianization method but admits significantly greater rates of success we present experimental results demonstrating the efficacy of the technique and detail how it can be applied the related settings of surface groups and doubly twisted conjugacy | [['there', 'currently', 'exists', 'no', 'algebraic', 'algorithm', 'for', 'computing', 'twisted', 'conjugacy', 'classes', 'in', 'free', 'groups', 'we', 'propose', 'a', 'new', 'technique', 'for', 'deciding', 'twisted', 'conjugacy', 'relations', 'using', 'nilpotent', 'quotients', 'our', 'technique', 'is', 'generalization', 'of', 'the', 'common', 'abelianization', 'method', 'but', 'admits', 'significantly', 'greater', 'rates', 'of', 'success', 'we', 'present', 'experimental', 'results', 'demonstrating', 'the', 'efficacy', 'of', 'the', 'technique', 'and', 'detail', 'how', 'it', 'can', 'be', 'applied', 'the', 'related', 'settings', 'of', 'surface', 'groups', 'and', 'doubly', 'twisted', 'conjugacy']] | [-0.14445253685449383, 0.08642588604374656, -0.09212869246756392, 0.09859622363832646, -0.0920052002184093, -0.15503617503148104, 0.06501962378554578, 0.4109942489436695, -0.2975773299379008, -0.2803099323064089, 0.10584539043816871, -0.20612526313800897, -0.19230562521676933, 0.29885817273919074, -0.1322971053022359, 0.040724996610411575, 0.11207445074937174, 0.04292463109429393, -0.10454564612757947, -0.295285145512649, 0.3796337275965405, -0.03228535537408399, 0.3113021489033209, 0.07227231824238385, 0.09505230325407216, -0.0217428419805531, -0.03152756177421127, 0.009411789423653057, -0.140111467222284, 0.15141544572210738, 0.28093244777659754, 0.15068188361973237, 0.21997099053114652, -0.3481265700023089, -0.14393427672662906, 0.18813725050006594, 0.1680112091159182, 0.06115603984466621, -0.1301225222381098, -0.2309101168631709, 0.10789096372734223, -0.20631142613877143, -0.1367895089755101, -0.12732276603845613, 0.02469190967801426, -0.04311926954292825, -0.21341212053251055, 0.05021747057991369, 0.04112481478202556, 0.08352063480602477, -0.04349333250429481, -0.09641215198644204, 0.013546185265295208, 0.1367349293748183, 0.02516973005341632, -0.008224955846422485, 0.10794489182797926, -0.07337735541430968, -0.17525457525625826, 0.4056969256672476, -0.02524152597678559, -0.2213882011427943, 0.18877392624105727, -0.1131684386271185, -0.21328904394592557, 0.1422945732782994, 0.1035585132959698, 0.1845444731414318, -0.03826239585344281, 0.12495450451803793, -0.13846424919153963, 0.11584262583138687, 0.07363806389538305, -0.03482845500943118, 0.11206767405383289, 0.14399679516042982, 0.07426807662206036, 0.1906092620005698, 0.020006566388266426, 0.01004216383610453, -0.2908233075003539, -0.18054255053866655, -0.08673781463876366, 0.04089434308864708, -0.08293872304618292, -0.14588536397287888, 0.43565752910716193, 0.1437035251309031, 0.09280970592184791, 0.10147082478340183, 0.24480894051458954, 0.08744144254264288, 0.10175251221018178, 0.0867319176705288, 0.13533680378459395, 0.19985597267347788, -0.06445794363639185, -0.2092122276928941, 0.019586244744381736, 0.18736085776638772] |
709.4408 | SUSY Higgs bosons at the LHC | Recent results on MSSM Higgs physics at the LHC are reviewed. The dependence
of the LHC discovery reach in the b\bar b H/A, H/A \to \tau^+\tau^- channel on
the underlying SUSY scenario is analysed. This is done by combining the latest
results for the prospective CMS experimental sensitivities for an integrated
luminosity of 30 or 60 fb^-1 with state-of-the-art theoretical predictions of
MSSM Higgs-boson properties. The results are interpreted in terms of the
parameters governing the MSSM Higgs sector at lowest order, M_A and tan_beta.
While the higgsino mass parameter \mu has a significant impact on the
prospective discovery reach (and correspondingly the ``LHC wedge'' region), it
is found that the discovery reach is rather stable with respect to variations
of other supersymmetric parameters. Within the discovery region a determination
of the masses of the heavy neutral Higgs bosons with an accuracy of 1-4% seems
feasible. It is furthermore shown that Higgs-boson production in central
exclusive diffractive channels can provide important information on the
properties of the neutral MSSM Higgs bosons.
| hep-ph | recent results on mssm higgs physics at the lhc are reviewed the dependence of the lhc discovery reach in the bbar b ha ha to tautau channel on the underlying susy scenario is analysed this is done by combining the latest results for the prospective cms experimental sensitivities for an integrated luminosity of 30 or 60 fb1 with stateoftheart theoretical predictions of mssm higgsboson properties the results are interpreted in terms of the parameters governing the mssm higgs sector at lowest order m_a and tan_beta while the higgsino mass parameter mu has a significant impact on the prospective discovery reach and correspondingly the lhc wedge region it is found that the discovery reach is rather stable with respect to variations of other supersymmetric parameters within the discovery region a determination of the masses of the heavy neutral higgs bosons with an accuracy of 14 seems feasible it is furthermore shown that higgsboson production in central exclusive diffractive channels can provide important information on the properties of the neutral mssm higgs bosons | [['recent', 'results', 'on', 'mssm', 'higgs', 'physics', 'at', 'the', 'lhc', 'are', 'reviewed', 'the', 'dependence', 'of', 'the', 'lhc', 'discovery', 'reach', 'in', 'the', 'bbar', 'b', 'ha', 'ha', 'to', 'tautau', 'channel', 'on', 'the', 'underlying', 'susy', 'scenario', 'is', 'analysed', 'this', 'is', 'done', 'by', 'combining', 'the', 'latest', 'results', 'for', 'the', 'prospective', 'cms', 'experimental', 'sensitivities', 'for', 'an', 'integrated', 'luminosity', 'of', '30', 'or', '60', 'fb1', 'with', 'stateoftheart', 'theoretical', 'predictions', 'of', 'mssm', 'higgsboson', 'properties', 'the', 'results', 'are', 'interpreted', 'in', 'terms', 'of', 'the', 'parameters', 'governing', 'the', 'mssm', 'higgs', 'sector', 'at', 'lowest', 'order', 'm_a', 'and', 'tan_beta', 'while', 'the', 'higgsino', 'mass', 'parameter', 'mu', 'has', 'a', 'significant', 'impact', 'on', 'the', 'prospective', 'discovery', 'reach', 'and', 'correspondingly', 'the', 'lhc', 'wedge', 'region', 'it', 'is', 'found', 'that', 'the', 'discovery', 'reach', 'is', 'rather', 'stable', 'with', 'respect', 'to', 'variations', 'of', 'other', 'supersymmetric', 'parameters', 'within', 'the', 'discovery', 'region', 'a', 'determination', 'of', 'the', 'masses', 'of', 'the', 'heavy', 'neutral', 'higgs', 'bosons', 'with', 'an', 'accuracy', 'of', '14', 'seems', 'feasible', 'it', 'is', 'furthermore', 'shown', 'that', 'higgsboson', 'production', 'in', 'central', 'exclusive', 'diffractive', 'channels', 'can', 'provide', 'important', 'information', 'on', 'the', 'properties', 'of', 'the', 'neutral', 'mssm', 'higgs', 'bosons']] | [-0.06360057754542853, 0.19718861609458385, -0.009720771687856893, 0.121918134394031, -0.07717346945881015, -0.1502484674973969, 0.041709474372345276, 0.33240693700853846, -0.17532516831848008, -0.293257212483158, 0.06204858474768372, -0.2970212547664057, 0.036909812248491665, 0.1741634103924319, 0.037828095095253915, 0.09518858303767982, 0.11392788946143848, 0.024907274355693877, -0.05200009606982859, -0.30026275115033163, 0.24639226442845594, 0.0783223090584428, 0.20908069252771766, 0.11658949958302124, 0.03295899594300672, -0.009575284903117438, -0.04565409978692371, -0.10342409999017217, -0.1534902952773645, 0.11226875393730397, 0.21594711356082855, 0.09313055622964629, 0.14587224648492028, -0.2846272214539131, -0.11878314686391764, 0.13043452265988273, 0.1752202706792724, 0.04140543526893602, -0.0720848075021603, -0.34080136522966603, 0.13064660223974298, -0.2148323458927814, -0.11514271879010447, -0.022088705450405328, 0.00042187478611169503, -0.1341043035475924, -0.3359692799069031, 0.08818466829854929, -0.08989338900850356, 0.04097101990438518, -0.008986658168880389, -0.21242837793988922, -0.10824449765033017, -0.017571196634028303, 0.130606506469153, 0.027807398145059833, 0.21944856144792851, -0.23718036233981232, -0.1952360535029605, 0.37838184990653256, -0.0811016625521857, -0.14110756982853145, 0.20425988378905968, -0.17943766919286017, -0.13941838506238852, 0.1643320706928944, 0.21038435864648972, 0.048127084844527844, -0.177134047071749, 0.20540134382110134, -0.02880467958094781, 0.17266735794398477, 0.025902482764032935, 0.09851083351157562, 0.25886045841701677, 0.24731156775150556, 0.03741802811916722, 0.04634477342077264, -0.10780976170929944, -0.09723236661251874, -0.4412005460168894, -0.11411126021687922, -0.03510281627681869, 0.007088441900740111, -0.06644969199064503, -0.050383995728783736, 0.389222152547486, 0.14839046493946026, 0.28731988840164585, -0.0018117978449976235, 0.2897561216170012, 0.09422038752062802, 0.08525074263033866, 0.009517294580419139, 0.3963852825340385, 0.13675356411364212, 0.14086400976333746, -0.21468415224859327, 0.04584174796840862, 0.029662310930066986] |
709.4409 | Comparison between high-energy proton and charged pion induced damage in
Lead Tungstate calorimeter crystals | A Lead Tungstate crystal produced for the electromagnetic calorimeter of the
CMS experiment at the LHC was cut into three equal-length sections. The central
one was irradiated with 290 MeV/c positive pions up to a fluence of (5.67 +-
0.46)x10^13 /cm^2, while the other two were exposed to a 24 GeV/c proton
fluence of (1.17 +- 0.11) x 10^13/ cm^2. The damage recovery in these crystals,
stored in the dark at room temperature, has been followed over two years. The
comparison of the radiation-induced changes in light transmission for these
crystals shows that damage is proportional to the star densities produced by
the irradiation.
| physics.ins-det | a lead tungstate crystal produced for the electromagnetic calorimeter of the cms experiment at the lhc was cut into three equallength sections the central one was irradiated with 290 mevc positive pions up to a fluence of 567 046x1013 cm2 while the other two were exposed to a 24 gevc proton fluence of 117 011 x 1013 cm2 the damage recovery in these crystals stored in the dark at room temperature has been followed over two years the comparison of the radiationinduced changes in light transmission for these crystals shows that damage is proportional to the star densities produced by the irradiation | [['a', 'lead', 'tungstate', 'crystal', 'produced', 'for', 'the', 'electromagnetic', 'calorimeter', 'of', 'the', 'cms', 'experiment', 'at', 'the', 'lhc', 'was', 'cut', 'into', 'three', 'equallength', 'sections', 'the', 'central', 'one', 'was', 'irradiated', 'with', '290', 'mevc', 'positive', 'pions', 'up', 'to', 'a', 'fluence', 'of', '567', '046x1013', 'cm2', 'while', 'the', 'other', 'two', 'were', 'exposed', 'to', 'a', '24', 'gevc', 'proton', 'fluence', 'of', '117', '011', 'x', '1013', 'cm2', 'the', 'damage', 'recovery', 'in', 'these', 'crystals', 'stored', 'in', 'the', 'dark', 'at', 'room', 'temperature', 'has', 'been', 'followed', 'over', 'two', 'years', 'the', 'comparison', 'of', 'the', 'radiationinduced', 'changes', 'in', 'light', 'transmission', 'for', 'these', 'crystals', 'shows', 'that', 'damage', 'is', 'proportional', 'to', 'the', 'star', 'densities', 'produced', 'by', 'the', 'irradiation']] | [-0.04399737693360167, 0.2616886339048938, -0.0594315846533616, 0.0025813251164382195, 0.035405287841832875, -0.09808960240414956, -0.007381022801751843, 0.4150754108582393, -0.15697955019601464, -0.38396754178522835, 0.01579888370049435, -0.4296723855382735, 0.09059118105117048, 0.18405382163675116, 0.0037997420076142517, 0.07323179847680696, 0.007998041827047225, 0.003967620672123267, -0.0686338559729001, -0.2554248187617205, 0.18490656083541931, 0.09651261905558628, 0.2850595014815283, 0.1316207392270317, 0.11490129730157038, -0.014801502169575542, 0.015057398587243982, -0.04653304151379236, -0.0997608104426936, 0.02976931101767321, 0.2884284393898774, 0.01547480733156905, 0.18039385676337866, -0.42515295659108915, -0.17713183540813993, 0.08305218942592492, 0.06565574689832802, 0.005814202885964129, -0.09708392036396384, -0.2183730041995497, 0.10951273870022765, -0.19384680155406495, -0.09812145170728022, 0.06281776848770125, 0.0041974804774479995, 0.00122850707278006, -0.24175365703493948, 0.05772882155292566, -0.016563803219181106, 0.07258010726643375, -0.09032770805521914, -0.1825276525059512, -0.04734378245873561, -0.002419177820850717, 0.06821322415973807, 0.10102565057165368, 0.22697055135106686, -0.09175672408857263, -0.07868610466553802, 0.3510326542292196, -0.015316422862729223, -0.031774087615384916, 0.13778379499926094, -0.21923396278560014, -0.09213497364746019, 0.335340080709003, 0.15144769768956773, 0.07067555876098353, -0.19918800266644004, -0.011437015183786354, 0.010370135631200185, 0.2177162263081363, 0.18856495283175223, -0.009194227350451568, 0.2217496173009092, 0.21195969682666335, -0.0028422773990890767, 0.1209530796179096, -0.18742630551430847, 0.036559033592644785, -0.28674795899060695, -0.13252038356506884, -0.08554208486589908, 0.10828490337439914, -0.05511349291263475, -0.06756389598445137, 0.40712140043183126, 0.07544097770927566, 0.2065513903219806, -0.04332658824842829, 0.2307712918350307, 0.06044216812265539, 0.09979370410904509, 0.011512994484994377, 0.32121951786782776, 0.16776412469046745, 0.14899310211093156, -0.20473831765224584, 0.054089482633931804, -0.03163834083087669] |
709.441 | On the formalism of dark energy accretion onto black- and worm-holes | In this work a general formalism for the accretion of dark energy onto
astronomical objects, black holes and wormholes, is considered. It is shown
that in models with four dimensions or more, any singularity with a divergence
in the Hubble parameter may be avoided by a big trip, if it is assumed that
there is no coupling between the bulk and this accreting object. If this is not
the case in more than four dimensions, the evolution of the cosmological object
depends on the particular model.
| astro-ph | in this work a general formalism for the accretion of dark energy onto astronomical objects black holes and wormholes is considered it is shown that in models with four dimensions or more any singularity with a divergence in the hubble parameter may be avoided by a big trip if it is assumed that there is no coupling between the bulk and this accreting object if this is not the case in more than four dimensions the evolution of the cosmological object depends on the particular model | [['in', 'this', 'work', 'a', 'general', 'formalism', 'for', 'the', 'accretion', 'of', 'dark', 'energy', 'onto', 'astronomical', 'objects', 'black', 'holes', 'and', 'wormholes', 'is', 'considered', 'it', 'is', 'shown', 'that', 'in', 'models', 'with', 'four', 'dimensions', 'or', 'more', 'any', 'singularity', 'with', 'a', 'divergence', 'in', 'the', 'hubble', 'parameter', 'may', 'be', 'avoided', 'by', 'a', 'big', 'trip', 'if', 'it', 'is', 'assumed', 'that', 'there', 'is', 'no', 'coupling', 'between', 'the', 'bulk', 'and', 'this', 'accreting', 'object', 'if', 'this', 'is', 'not', 'the', 'case', 'in', 'more', 'than', 'four', 'dimensions', 'the', 'evolution', 'of', 'the', 'cosmological', 'object', 'depends', 'on', 'the', 'particular', 'model']] | [-0.10713709960014797, 0.14060531650821484, -0.10664406018656526, 0.09331043921735917, -0.08331978940513245, -0.14753179182298481, -0.03853239703836829, 0.3557202064778742, -0.18152741056347135, -0.2885189293342274, 0.10789029845199007, -0.27259067532628084, -0.12480655273011085, 0.20947484319574786, -0.062305520775966176, -0.02651665207448004, 0.050512921866462675, 0.05321645096680799, -0.06130279479331748, -0.2734238593460082, 0.3978491494442921, 0.0456045316017861, 0.1944094748171263, 0.003864809589157271, 0.08076353576900654, -0.05050629911521926, 0.01008756049139815, 0.042240387900884066, -0.13606142369183566, 0.07281563948666633, 0.22661860332863037, 0.12572332609141634, 0.250487472323246, -0.3823577406664574, -0.2646958376389257, 0.15237288452078437, 0.15135097407281053, 0.11460976360560676, -0.05627432450155327, -0.2285280287195387, 0.08366470162886692, -0.18796636180432383, -0.09862368036776262, 0.016871252340849404, 0.07734505567959575, -0.0755428166323623, -0.22367181474624506, 0.08114197309843676, 0.06577876714318125, -0.03577349684201181, -0.09557493659126204, -0.005001533417800051, -0.051562497652200764, 0.06643786470589856, 0.10347429918109027, 0.047222452387105415, 0.10843803205115851, -0.16110875879057013, -0.05949017169701239, 0.4248429068559131, -0.04206784166815978, -0.24993268006242986, 0.20430550135152284, -0.2024507733754987, -0.12153321994078714, 0.08079316906717628, 0.07800541148753837, 0.16916830884428088, -0.13853937972250374, 0.12484207078895726, -0.028271023129914388, 0.2115116368730141, 0.09625877777850905, 7.698875730099199e-05, 0.30457834314641563, 0.16891915917797232, 0.06785543336597986, 0.09089313865893758, -0.08511298447360047, -0.07362174038601996, -0.31018895963423476, -0.1565373559035432, -0.20633510443880115, 0.07972077699665787, -0.13113740091936305, -0.16121864612424086, 0.32717377583084756, 0.12455519527700448, 0.2075321354367229, -0.010038141984232637, 0.3020388428469105, 0.09753823202904748, 0.09781135868302784, 0.13276502114807276, 0.31232855340119364, 0.0494589178070296, 0.10260607134875689, -0.1779421651979562, 0.05563357136981172, 0.029589375684059463] |
709.4411 | Nested set complexes for posets and the Bier construction | We generalize the concept of combinatorial nested set complexes to posets and
exhibit the topological relationship between the arising nested set complexes
and the order complex of the underlying poset. In particular, a sufficient
condition is given so that this relationship is actually a subdivision. We use
the results to generalize the proof method of \v{C}uki\'c and Delucchi, so far
restricted to semilattices, for a result of Bj\"orner, Paffenholz, Sj\"ostrand
and Ziegler on the Bier construction on posets.
| math.CO math.AT | we generalize the concept of combinatorial nested set complexes to posets and exhibit the topological relationship between the arising nested set complexes and the order complex of the underlying poset in particular a sufficient condition is given so that this relationship is actually a subdivision we use the results to generalize the proof method of vcukic and delucchi so far restricted to semilattices for a result of bjorner paffenholz sjostrand and ziegler on the bier construction on posets | [['we', 'generalize', 'the', 'concept', 'of', 'combinatorial', 'nested', 'set', 'complexes', 'to', 'posets', 'and', 'exhibit', 'the', 'topological', 'relationship', 'between', 'the', 'arising', 'nested', 'set', 'complexes', 'and', 'the', 'order', 'complex', 'of', 'the', 'underlying', 'poset', 'in', 'particular', 'a', 'sufficient', 'condition', 'is', 'given', 'so', 'that', 'this', 'relationship', 'is', 'actually', 'a', 'subdivision', 'we', 'use', 'the', 'results', 'to', 'generalize', 'the', 'proof', 'method', 'of', 'vcukic', 'and', 'delucchi', 'so', 'far', 'restricted', 'to', 'semilattices', 'for', 'a', 'result', 'of', 'bjorner', 'paffenholz', 'sjostrand', 'and', 'ziegler', 'on', 'the', 'bier', 'construction', 'on', 'posets']] | [-0.10660095411156745, 0.060713896871005237, -0.06567998387311634, 0.13069128988488382, -0.14014610524387344, -0.05780574448382188, 0.07571117893032926, 0.3553946959344964, -0.33682066535479144, -0.2536900790016118, 0.09397483364476725, -0.23678909622034744, -0.19838069327861854, 0.16474743078364745, -0.15955276930655696, -0.01727908029830647, 0.043932713384396936, 0.014624986135841985, -0.04787616146026458, -0.2696127385624047, 0.4153246403867869, 0.010155075964959044, 0.2401139728945533, 0.10090503631478273, 0.09696020127127045, 0.008567524430538086, -0.01853784578423457, 0.04576025009890528, -0.2305091172614706, 0.17707758467938556, 0.2326844559590283, 0.1292030997696872, 0.2134707101447834, -0.3518939613070535, -0.09559188960510685, 0.1616356327063649, 0.08634815153690349, 0.07423492886224076, 0.0048638740278731446, -0.2531887396532846, 0.11076554841067839, -0.1507177030986273, -0.1263655281723722, -0.07967060816123481, 0.017429498195844263, 0.05448304211083604, -0.25837516863095134, -0.03917359133591067, 0.17317209316197, 0.10056532909603495, -0.021171376314381825, -0.08690300945952338, -0.04058480444731877, 0.08000122351988562, -0.078547043364348, 0.0014293192224086898, 0.019158260308598216, -0.039787896072467493, -0.17630219501198122, 0.3446793310638321, 0.040760694284568, -0.22799106059890045, 0.1973778053101054, -0.1565837978238338, -0.19441210171575413, 0.12416820890441733, 0.07726725862410508, 0.14402310015927805, -0.058436003182769605, 0.1265835339405672, -0.17228572156378313, 0.07307715750740547, 0.1588447862304747, 0.036769082199929186, 0.09510144764499273, 0.13700604822645945, 0.08881821990086648, 0.19853306522801226, 0.019917694594416963, -0.07284054361700423, -0.2806488150289576, -0.1503702109517977, -0.187091209165948, 0.05696050139139468, -0.06763869831200664, -0.2213020412692506, 0.37901067525442494, 0.12582978317023893, 0.17843166219168588, 0.13057784408968137, 0.22072893626510018, 0.030528822168937614, 0.07295006032616488, -0.00631806343842886, 0.1254333681672027, 0.23706113014180263, 0.024322396989813762, -0.14153679774608463, 0.06271548510994762, 0.21887950136595846] |
709.4412 | How long will a bubble be ? | A soap bubble is a metastable object that eventually breaks. Indeed, the
soapy water film thins until rupture, due to drainage and evaporation. In our
experimental investigations, floating bubbles at the surface of a liquid bath
have been considered. Their lifetime has been measured and reported with
respect to their radius. Large bubbles last longer than small ones. Moreover,
small bubbles have more predictable lifetimes than large ones. We propose a
general equation for that lifetime, based on the lubrication theory. The
evaporation is shown to be an essential process which determines the bubble
lifetime.
| physics.flu-dyn | a soap bubble is a metastable object that eventually breaks indeed the soapy water film thins until rupture due to drainage and evaporation in our experimental investigations floating bubbles at the surface of a liquid bath have been considered their lifetime has been measured and reported with respect to their radius large bubbles last longer than small ones moreover small bubbles have more predictable lifetimes than large ones we propose a general equation for that lifetime based on the lubrication theory the evaporation is shown to be an essential process which determines the bubble lifetime | [['a', 'soap', 'bubble', 'is', 'a', 'metastable', 'object', 'that', 'eventually', 'breaks', 'indeed', 'the', 'soapy', 'water', 'film', 'thins', 'until', 'rupture', 'due', 'to', 'drainage', 'and', 'evaporation', 'in', 'our', 'experimental', 'investigations', 'floating', 'bubbles', 'at', 'the', 'surface', 'of', 'a', 'liquid', 'bath', 'have', 'been', 'considered', 'their', 'lifetime', 'has', 'been', 'measured', 'and', 'reported', 'with', 'respect', 'to', 'their', 'radius', 'large', 'bubbles', 'last', 'longer', 'than', 'small', 'ones', 'moreover', 'small', 'bubbles', 'have', 'more', 'predictable', 'lifetimes', 'than', 'large', 'ones', 'we', 'propose', 'a', 'general', 'equation', 'for', 'that', 'lifetime', 'based', 'on', 'the', 'lubrication', 'theory', 'the', 'evaporation', 'is', 'shown', 'to', 'be', 'an', 'essential', 'process', 'which', 'determines', 'the', 'bubble', 'lifetime']] | [-0.08440437253907715, 0.22440889761675958, -0.13115247200292193, 0.05686685926425286, -0.03165970008918329, -0.11445001602466953, 0.045175041487489485, 0.3732813110280978, -0.22118936570263223, -0.28535099620624493, 0.1333865644888168, -0.2788889735348915, -0.057518574482712304, 0.18367433060254706, -0.046884574015673836, 0.03325198719670114, 0.054261457371084315, -0.0002447894921428279, -0.012683541401240386, -0.2281650112084064, 0.22932853370806888, 0.0896265872423292, 0.29389158208903515, 0.11624593492597342, 0.05187941529837094, -0.09589574716887192, 0.02257743585168531, 0.05705389143703015, -0.19509947624036086, 0.0526425754262738, 0.18495411080994495, -0.004139047513078702, 0.2581581812155874, -0.516774091085321, -0.24794347700050198, 0.08831429380531373, 0.15992657969656743, 0.15434174736299994, -0.055327801059128864, -0.2520005242212823, 0.09423887366551514, -0.1939093178236171, -0.15798983046490894, -0.03521584285129058, 0.12128331483782906, -0.0306208039220349, -0.17376569508525885, 0.08626940438621923, 0.03151090512738416, -0.0051212467093902985, -0.0708149963646735, -0.08511680095383015, -0.05882049068857573, 0.08405880072693292, 0.11469931537744982, 0.023834323721300614, 0.22873842842680844, -0.10761810109803552, -0.031919394208020285, 0.3631873687631206, -0.06614358384609467, -0.12536451602844814, 0.23308432872015003, -0.1869684578029831, -0.0415597558903851, 0.271629507624005, 0.14008676107776794, 0.14877810070879366, -0.13476790268170205, -0.00648191604689744, -0.04562723759537269, 0.18962839544799767, 0.12669163553142235, -0.010191160922649463, 0.2413610085060722, 0.26169097332259345, 0.04599527437730055, 0.13900694475313158, -0.11390289067976961, -0.13294855365039487, -0.22264597808059894, -0.16321455885558145, -0.16515813962507406, 0.05117304319221722, -0.046381988943444176, -0.18690004000581165, 0.30576480524124283, 0.09196934470612751, 0.1881601962812343, 0.04741350006630742, 0.26293860964084925, 0.07137740541274022, 0.13722324638480418, 0.08210129604527824, 0.2919774545846801, 0.08991146162274832, 0.11374116529661574, -0.19606610530448196, 0.145406583417207, 0.009864315172461302] |
709.4413 | Lepton Flavor Violation in the LHT - A Clear Distinction from
Supersymmetry | The Littlest Higgs Model with T-Parity (LHT) contains new sources of flavor
and CP violation both in the quark and lepton sector. These have their origin
in interactions of ordinary fermions with mirror fermions mediated by new heavy
gauge bosons. Large deviations from the Standard Model (SM) are to be expected
in the lepton sector where tiny neutrino masses suppress the SM predictions by
many orders of magnitude below the experimentally accessible level. Here we
give a brief summary of LFV processes relevant for the foreseeable future and
point out that correlations between branching ratios of LFV decays in the LHT
exhibit a structure vastly different from their analogues in the MSSM, thus
allowing for a transparent distinction between these two models.
| hep-ph | the littlest higgs model with tparity lht contains new sources of flavor and cp violation both in the quark and lepton sector these have their origin in interactions of ordinary fermions with mirror fermions mediated by new heavy gauge bosons large deviations from the standard model sm are to be expected in the lepton sector where tiny neutrino masses suppress the sm predictions by many orders of magnitude below the experimentally accessible level here we give a brief summary of lfv processes relevant for the foreseeable future and point out that correlations between branching ratios of lfv decays in the lht exhibit a structure vastly different from their analogues in the mssm thus allowing for a transparent distinction between these two models | [['the', 'littlest', 'higgs', 'model', 'with', 'tparity', 'lht', 'contains', 'new', 'sources', 'of', 'flavor', 'and', 'cp', 'violation', 'both', 'in', 'the', 'quark', 'and', 'lepton', 'sector', 'these', 'have', 'their', 'origin', 'in', 'interactions', 'of', 'ordinary', 'fermions', 'with', 'mirror', 'fermions', 'mediated', 'by', 'new', 'heavy', 'gauge', 'bosons', 'large', 'deviations', 'from', 'the', 'standard', 'model', 'sm', 'are', 'to', 'be', 'expected', 'in', 'the', 'lepton', 'sector', 'where', 'tiny', 'neutrino', 'masses', 'suppress', 'the', 'sm', 'predictions', 'by', 'many', 'orders', 'of', 'magnitude', 'below', 'the', 'experimentally', 'accessible', 'level', 'here', 'we', 'give', 'a', 'brief', 'summary', 'of', 'lfv', 'processes', 'relevant', 'for', 'the', 'foreseeable', 'future', 'and', 'point', 'out', 'that', 'correlations', 'between', 'branching', 'ratios', 'of', 'lfv', 'decays', 'in', 'the', 'lht', 'exhibit', 'a', 'structure', 'vastly', 'different', 'from', 'their', 'analogues', 'in', 'the', 'mssm', 'thus', 'allowing', 'for', 'a', 'transparent', 'distinction', 'between', 'these', 'two', 'models']] | [-0.07377761056728768, 0.33003127168182694, -0.004060110575843938, 0.19836952018582063, -0.07628257053171392, -0.21386081487566355, 0.07478652343814277, 0.2915623758110355, -0.22615485606699814, -0.29717192394643654, -0.007712372121607244, -0.3247140086271235, -0.03893745022245729, 0.12728093818715605, 0.06658197126778789, 0.03775522412854384, 0.021293594673672905, -0.04705142054218249, -0.055895062253169224, -0.24237841714104852, 0.2776719376246338, 0.016003743306443583, 0.2015191274084395, 0.08275818702245712, 0.0022229062141392564, -0.04181421689734962, -0.03215977204505537, -0.07183633625247805, -0.08180053993401387, 0.08062577624347245, 0.1796388042103139, 0.05169194189022432, 0.059624524972187815, -0.3997701163266282, -0.13207233391060938, 0.20134598828974318, 0.13618974300620498, 0.09813781947920434, -0.09062835516133269, -0.3580251015278083, 0.06416592067899564, -0.22093722314123432, -0.09812853037719385, -0.0972322602221956, -0.061689982805248414, -0.10221160628038962, -0.3152800763286383, 0.08968884289478425, -0.04976428895578033, 0.05699380477661359, 0.062203091741005176, -0.1958549750556589, -0.05842925892898538, 0.04315053271969444, 0.19723443944364039, -0.045342398324330555, 0.13296498036676194, -0.23573635054201644, -0.20931657593025535, 0.4501464235153599, -0.10852630335463546, -0.18233277459941866, 0.20713266587079518, -0.21715902639400275, -0.176146383292078, 0.12044390138299739, 0.21567436552331706, 0.04340664004586393, -0.2014499008812995, 0.18665730581307768, -0.058225431227598524, 0.11932016385181952, 0.02483306291368103, 0.10940552052476855, 0.331407649572328, 0.20448735192204354, 0.03532901073597967, 0.03029378775228578, -0.0557825674119665, -0.09419604240664754, -0.4245892907111127, -0.13042923720690924, -0.04003416054469884, 0.04244611563435832, -0.08710328453627404, -0.0825070076976086, 0.43089970406984573, 0.184723983125639, 0.24385438279294577, 0.035532764899620754, 0.26761485700358134, 0.04344967114128417, 0.1035516444921921, -0.008824521316917704, 0.3251060724685915, 0.12706211078377655, 0.10642966356693355, -0.2207675618005031, 0.0349665408931123, 0.05701784042977407] |
709.4414 | The Cauchy problem of f(R) gravity | The initial value problem of metric and Palatini f(R)gravity is studied by
using the dynamical equivalence between these theories and Brans-Dicke gravity.
The Cauchy problem is well-formulated for metric f(R)gravity in the presence of
matter and well-posed in vacuo. For Palatini f(R)gravity, instead, the Cauchy
problem is not well-formulated.
| gr-qc astro-ph hep-th | the initial value problem of metric and palatini frgravity is studied by using the dynamical equivalence between these theories and bransdicke gravity the cauchy problem is wellformulated for metric frgravity in the presence of matter and wellposed in vacuo for palatini frgravity instead the cauchy problem is not wellformulated | [['the', 'initial', 'value', 'problem', 'of', 'metric', 'and', 'palatini', 'frgravity', 'is', 'studied', 'by', 'using', 'the', 'dynamical', 'equivalence', 'between', 'these', 'theories', 'and', 'bransdicke', 'gravity', 'the', 'cauchy', 'problem', 'is', 'wellformulated', 'for', 'metric', 'frgravity', 'in', 'the', 'presence', 'of', 'matter', 'and', 'wellposed', 'in', 'vacuo', 'for', 'palatini', 'frgravity', 'instead', 'the', 'cauchy', 'problem', 'is', 'not', 'wellformulated']] | [-0.16839676306640006, 0.07378350702893673, -0.09829357834722922, 0.1747269452886884, -0.13572791059102332, -0.15723515983566413, -0.11079787246274705, 0.2665771374250857, -0.2330380804380592, -0.3039510383897898, 0.07493681750944531, -0.24081549223284332, -0.13586462140843578, 0.09459761170936483, -0.12415371314451402, 0.08764957545363174, 0.012702400434990319, 0.03491195215254414, -0.10662944491344448, -0.2716457405298644, 0.47018894614005574, 0.025804746325831025, 0.20039474728460216, 0.005697287543087589, 0.12772140644338667, -0.041903060072158674, 0.07144583408169601, 0.10880671893911702, -0.17764647492701757, 0.011309938327105222, 0.27544206046803416, 0.1806328228807875, 0.26537106593842713, -0.3920458224126879, -0.29232779968225836, 0.15524298625485022, 0.07715957661216356, 0.11575119147951506, -0.049078542035909334, -0.3661832512945545, 0.054977846664509604, -0.12429473889820582, -0.06989378943012989, 0.0007520781316775448, 0.044231051465078275, -0.10285644864245337, -0.23350594923546425, 0.19991029932505774, -0.016091864587553795, -0.0255172854403452, -0.22838566246993688, -0.002325254834580178, 0.02496662195201735, -0.02196113075300747, 0.19640860022805937, 0.04880939378422134, 0.0546740647405386, -0.1407997825239994, -0.02347334571258754, 0.4865803197786516, -0.11674022637972874, -0.3210962896748465, 0.060435758713556796, -0.09126979966971036, -0.1116618129367731, -0.01624628213443318, 0.05549069912153847, 0.22360006478444047, -0.1688460385692971, 0.27345185420518664, -0.03583004110853891, 0.10858091544740055, 0.17018452560415073, -0.04956432880491626, 0.30943184856287376, 0.09680451847118687, 0.04162710725462863, 0.10121274146498466, 0.056955507443267474, -0.15773636174901406, -0.382200763769904, -0.13968594817026536, -0.15915791215185, 0.03706910927828677, -0.21834066322896564, -0.1606753009029341, 0.2824051084890201, 0.1403278865072192, 0.0067063370073328216, 0.12001457837011133, 0.21599042590479461, 0.1254139791138242, -0.06436573393756942, 0.07734130069195312, 0.3568591120443782, 0.16597229372044758, 0.13782031442114742, -0.26542677877622906, -0.028584712755163104, 0.1639015534227448] |
709.4415 | Discovering Important Nodes Through Graph Entropy Encoded in Urban Space
Syntax | Potentially influential spaces in the spatial networks of cities can be
detected by means of the entropy participation ratios. Local (connectivity) and
global (centrality) entropies are considered. While the connectivity entropy
has a tendency to increase with the city size, the centrality entropy is
decreasing that reflects the global connectedness of cities. In urban networks,
the local and global properties of nodes are positively correlated that
indicates the intelligibility of cities. Correlations between entropy
participation ratios can be used in purpose of intelligibility measurements and
city networks comparisons.
| physics.soc-ph physics.comp-ph | potentially influential spaces in the spatial networks of cities can be detected by means of the entropy participation ratios local connectivity and global centrality entropies are considered while the connectivity entropy has a tendency to increase with the city size the centrality entropy is decreasing that reflects the global connectedness of cities in urban networks the local and global properties of nodes are positively correlated that indicates the intelligibility of cities correlations between entropy participation ratios can be used in purpose of intelligibility measurements and city networks comparisons | [['potentially', 'influential', 'spaces', 'in', 'the', 'spatial', 'networks', 'of', 'cities', 'can', 'be', 'detected', 'by', 'means', 'of', 'the', 'entropy', 'participation', 'ratios', 'local', 'connectivity', 'and', 'global', 'centrality', 'entropies', 'are', 'considered', 'while', 'the', 'connectivity', 'entropy', 'has', 'a', 'tendency', 'to', 'increase', 'with', 'the', 'city', 'size', 'the', 'centrality', 'entropy', 'is', 'decreasing', 'that', 'reflects', 'the', 'global', 'connectedness', 'of', 'cities', 'in', 'urban', 'networks', 'the', 'local', 'and', 'global', 'properties', 'of', 'nodes', 'are', 'positively', 'correlated', 'that', 'indicates', 'the', 'intelligibility', 'of', 'cities', 'correlations', 'between', 'entropy', 'participation', 'ratios', 'can', 'be', 'used', 'in', 'purpose', 'of', 'intelligibility', 'measurements', 'and', 'city', 'networks', 'comparisons']] | [-0.15386456768035053, 0.14908460357268763, -0.08904404163529928, 0.13346284671967046, 0.047321301859814084, -0.09900897437579591, 0.03397569711986845, 0.3637581220298836, -0.2252981850655157, -0.3094627381492914, 0.041962022270044225, -0.3769085221627558, -0.13086178625764494, 0.11365954530298371, -0.11176399202932688, 0.05247953081495573, 0.03444028464384081, 0.05423710990395524, -0.03329135921508582, -0.25400390691885893, 0.3141857130236035, 0.09761910200838676, 0.38083338720554655, 0.1350693178193813, -0.0013553547059101138, -0.051707822443321755, -0.05064996430354023, 0.16300190757663752, -0.07882404870658567, 0.18430740622253242, 0.32440921347270807, 0.19900568376099478, 0.2944691506722434, -0.3658907170703804, -0.21705052607946776, 0.1653483317879198, 0.14719275699462742, -0.006967969283736734, 0.08111446620552504, -0.3171757237102032, 0.06283549998294223, -0.17060533706733788, -0.11402011996621943, -0.08277269333220003, 0.04621111320408421, 0.08811292442194164, -0.22771601569680075, 0.16283435105684807, 0.0019299462860958142, 0.12166751966684718, -0.02089577891324139, -0.06203261122573167, -0.13837662000547757, 0.2118266633743505, 0.08135900050877932, -0.029064697689715435, 0.2050208240662786, -0.10253733639944006, -0.14203064474383031, 0.31734083260578866, -0.0026627248047258367, -0.17082945081214843, 0.1908281752310524, -0.13625427564362658, -0.14655865832570603, 0.06789759102238432, 0.23899972492125182, 0.05011202548948032, -0.16578293760010804, -0.018980441765134772, -0.028972548951225526, 0.17482347970574416, 0.05413155897986144, 0.08371611376589333, 0.18525267225182193, 0.1763278020926836, 0.15977549980479208, 0.11222380700002593, -0.07942717896168522, -0.09869378842400196, -0.18077229534868489, -0.15652643257371066, -0.20097130156037482, 0.017923459484749896, -0.20861593997770714, -0.09822504311292009, 0.40985659895126114, 0.12891441920179536, 0.2086992377245968, 0.08749726413093, 0.2108957526401024, 0.07501523856031285, 0.10326839972880077, 0.1142141710892743, 0.21107265806164255, 0.09969581610957076, 0.1871140570067589, -0.2007308586378878, 0.20948515850415622, 0.08297848460179838] |
709.4416 | The eigenvalue spectrum for dynamical Chirally Improved fermions | We study the eigenvalues of Dirac operators in QCD with two mass degenerate
dynamical fermions. The gauge configurations have been obtained with HMC and
the so-called Chirally Improved fermionic action. We compare eigenvalues
obtained for the overlap Dirac operator on these configurations with those for
the Chirally Improved (CI) operator (studied earlier). Results of Random Matrix
Theory allow us to determine the chiral condensate.
| hep-lat | we study the eigenvalues of dirac operators in qcd with two mass degenerate dynamical fermions the gauge configurations have been obtained with hmc and the socalled chirally improved fermionic action we compare eigenvalues obtained for the overlap dirac operator on these configurations with those for the chirally improved ci operator studied earlier results of random matrix theory allow us to determine the chiral condensate | [['we', 'study', 'the', 'eigenvalues', 'of', 'dirac', 'operators', 'in', 'qcd', 'with', 'two', 'mass', 'degenerate', 'dynamical', 'fermions', 'the', 'gauge', 'configurations', 'have', 'been', 'obtained', 'with', 'hmc', 'and', 'the', 'socalled', 'chirally', 'improved', 'fermionic', 'action', 'we', 'compare', 'eigenvalues', 'obtained', 'for', 'the', 'overlap', 'dirac', 'operator', 'on', 'these', 'configurations', 'with', 'those', 'for', 'the', 'chirally', 'improved', 'ci', 'operator', 'studied', 'earlier', 'results', 'of', 'random', 'matrix', 'theory', 'allow', 'us', 'to', 'determine', 'the', 'chiral', 'condensate']] | [-0.13360174730041763, 0.22083948669751408, -0.08220479661395075, 0.06685636058682576, -0.027234265002334723, -0.12086895210995863, 0.030170138144967495, 0.40086763477302156, -0.09853035068954341, -0.24706888510263525, 0.04527567301374802, -0.3108981692348607, -0.11605927660639281, 0.05738199930055998, 0.045138316199881956, 0.13530661494587548, 0.07660531497822376, 0.0551734441651206, -0.17934564425377175, -0.24122897082997952, 0.3845087175795925, -0.027004488780221436, 0.22780252884695074, 0.09019625961082056, 0.009541921805066522, 0.0017795529129216447, -0.022493044176371768, -0.04739101437735371, -0.11642202083021402, 0.09963270512889721, 0.15795925004931632, -0.017119894375355216, 0.10862014043959789, -0.4172240024781786, -0.2121642198326299, 0.10487674984324258, 0.14988934832217637, 0.10477648316373234, -0.019081982247371343, -0.3861185226996895, 0.0787762449181173, -0.19494650590058882, -0.23196092714533734, -0.13473696669461788, -0.1048403824242996, -0.07617922625286155, -0.31433981757436413, 0.06111712706479011, -0.0478034212815146, 0.033943521870241966, -0.04723276992717729, -0.21371105505386367, -0.0379579355212627, 0.09160868090111762, 0.050094066944438964, -0.01353103774090414, 0.08064461940375622, -0.1107761154853506, -0.15020091130281799, 0.39305969839915633, -0.08269503079463902, -0.23752596843405627, 0.17286397819407284, -0.1578427944186842, -0.16678718010371085, 0.08348974894033745, 0.11570866891997866, 0.11718726471735863, -0.1425649804295972, 0.14629602944387443, -0.0825237778662995, 0.074664393947387, 0.07313189265551046, 0.03971012523834361, 0.2049493784434162, 0.042861522917519324, 0.08649396019245614, 0.10579039318326977, 0.018003383996983757, -0.20477945969469147, -0.22494163969531655, -0.0906513744739641, -0.18498991231899709, 0.07133561105729314, -0.1263726791873978, -0.19627251316705951, 0.4445376618823502, 0.172893572729663, 0.1977578840815113, 0.037351573580963304, 0.19650728185661137, 0.19063531422580127, 0.07919096315890783, 0.014268461602114257, 0.2394845905873808, 0.21288157062372193, 0.09786586342670489, -0.3042692679009633, -0.15926552888413426, 0.18519716268929187] |
709.4417 | The New Horizons Pluto Kuiper belt Mission: An Overview with Historical
Context | NASA's New Horizons (NH) Pluto-Kuiper belt (PKB) mission was launched on 19
January 2006 on a Jupiter Gravity Assist (JGA) trajectory toward the Pluto
system for a 14 July 2015 closest approach; Jupiter closest approach occurred
on 28 February 2007. It was competitively selected by NASA for development on
29 November 2001. New Horizons is the first mission to the Pluto system and the
Kuiper belt; and will complete the reconnaissance of the classical planets. The
~400 kg spacecraft carries seven scientific instruments, including imagers,
spectrometers, radio science, a plasma and particles suite, and a dust counter
built by university students. NH will study the Pluto system over a 5-month
period beginning in early 2015. Following Pluto, NH will go on to reconnoiter
one or two 30-50 kilometer diameter Kuiper belt Objects (KBOs), if NASA
approves an extended mission. If successful, NH will represent a watershed
development in the scientific exploration of a new class of bodies in the solar
system - dwarf planets, of worlds with exotic volatiles on their surfaces, of
rapidly (possibly hydrodynamically) escaping atmospheres, and of giant impact
derived satellite systems. It will also provide the first dust density
measurements beyond 18 AU, cratering records that shed light on both the
ancient and present-day KB impactor population down to tens of meters, and a
key comparator to the puzzlingly active, former dwarf planet (now satellite of
Neptune) called Triton, which is as large as Eris and Pluto.
| astro-ph | nasas new horizons nh plutokuiper belt pkb mission was launched on 19 january 2006 on a jupiter gravity assist jga trajectory toward the pluto system for a 14 july 2015 closest approach jupiter closest approach occurred on 28 february 2007 it was competitively selected by nasa for development on 29 november 2001 new horizons is the first mission to the pluto system and the kuiper belt and will complete the reconnaissance of the classical planets the 400 kg spacecraft carries seven scientific instruments including imagers spectrometers radio science a plasma and particles suite and a dust counter built by university students nh will study the pluto system over a 5month period beginning in early 2015 following pluto nh will go on to reconnoiter one or two 3050 kilometer diameter kuiper belt objects kbos if nasa approves an extended mission if successful nh will represent a watershed development in the scientific exploration of a new class of bodies in the solar system dwarf planets of worlds with exotic volatiles on their surfaces of rapidly possibly hydrodynamically escaping atmospheres and of giant impact derived satellite systems it will also provide the first dust density measurements beyond 18 au cratering records that shed light on both the ancient and presentday kb impactor population down to tens of meters and a key comparator to the puzzlingly active former dwarf planet now satellite of neptune called triton which is as large as eris and pluto | [['nasas', 'new', 'horizons', 'nh', 'plutokuiper', 'belt', 'pkb', 'mission', 'was', 'launched', 'on', '19', 'january', '2006', 'on', 'a', 'jupiter', 'gravity', 'assist', 'jga', 'trajectory', 'toward', 'the', 'pluto', 'system', 'for', 'a', '14', 'july', '2015', 'closest', 'approach', 'jupiter', 'closest', 'approach', 'occurred', 'on', '28', 'february', '2007', 'it', 'was', 'competitively', 'selected', 'by', 'nasa', 'for', 'development', 'on', '29', 'november', '2001', 'new', 'horizons', 'is', 'the', 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709.4418 | Periodic solutions for planar autonomous systems with nonsmooth periodic
perturbations | In this paper we consider a class of planar autonomous systems having an
isolated limit cycle x_0 of smallest period T>0 such that the associated
linearized system around it has only one characteristic multiplier with
absolute value 1. We consider two functions, defined by means of the
eigenfunctions of the adjoint of the linearized system, and we formulate
conditions in terms of them in order to have the existence of two geometrically
distinct families of T-periodic solutions of the autonomous system when it is
perturbed by nonsmooth T-periodic nonlinear terms of small amplitude. We also
show the convergence of these periodic solutions to x_0 as the perturbation
disappears and we provide an estimation of the rate of convergence. The
employed methods are mainly based on the theory of topological degree and its
properties that allow less regularity on the data than that required by the
approach, commonly employed in the existing literature on this subject, based
on various versions of the implicit function theorem.
| math.CA | in this paper we consider a class of planar autonomous systems having an isolated limit cycle x_0 of smallest period t0 such that the associated linearized system around it has only one characteristic multiplier with absolute value 1 we consider two functions defined by means of the eigenfunctions of the adjoint of the linearized system and we formulate conditions in terms of them in order to have the existence of two geometrically distinct families of tperiodic solutions of the autonomous system when it is perturbed by nonsmooth tperiodic nonlinear terms of small amplitude we also show the convergence of these periodic solutions to x_0 as the perturbation disappears and we provide an estimation of the rate of convergence the employed methods are mainly based on the theory of topological degree and its properties that allow less regularity on the data than that required by the approach commonly employed in the existing literature on this subject based on various versions of the implicit function theorem | [['in', 'this', 'paper', 'we', 'consider', 'a', 'class', 'of', 'planar', 'autonomous', 'systems', 'having', 'an', 'isolated', 'limit', 'cycle', 'x_0', 'of', 'smallest', 'period', 't0', 'such', 'that', 'the', 'associated', 'linearized', 'system', 'around', 'it', 'has', 'only', 'one', 'characteristic', 'multiplier', 'with', 'absolute', 'value', '1', 'we', 'consider', 'two', 'functions', 'defined', 'by', 'means', 'of', 'the', 'eigenfunctions', 'of', 'the', 'adjoint', 'of', 'the', 'linearized', 'system', 'and', 'we', 'formulate', 'conditions', 'in', 'terms', 'of', 'them', 'in', 'order', 'to', 'have', 'the', 'existence', 'of', 'two', 'geometrically', 'distinct', 'families', 'of', 'tperiodic', 'solutions', 'of', 'the', 'autonomous', 'system', 'when', 'it', 'is', 'perturbed', 'by', 'nonsmooth', 'tperiodic', 'nonlinear', 'terms', 'of', 'small', 'amplitude', 'we', 'also', 'show', 'the', 'convergence', 'of', 'these', 'periodic', 'solutions', 'to', 'x_0', 'as', 'the', 'perturbation', 'disappears', 'and', 'we', 'provide', 'an', 'estimation', 'of', 'the', 'rate', 'of', 'convergence', 'the', 'employed', 'methods', 'are', 'mainly', 'based', 'on', 'the', 'theory', 'of', 'topological', 'degree', 'and', 'its', 'properties', 'that', 'allow', 'less', 'regularity', 'on', 'the', 'data', 'than', 'that', 'required', 'by', 'the', 'approach', 'commonly', 'employed', 'in', 'the', 'existing', 'literature', 'on', 'this', 'subject', 'based', 'on', 'various', 'versions', 'of', 'the', 'implicit', 'function', 'theorem']] | [-0.16768857489127761, 0.05113436015221296, -0.06662398441581101, 0.029916102540815566, -0.016478076385527212, -0.09063348266091652, -0.0019284816495733473, 0.3276797951789709, -0.2745790024197138, -0.25273829910949597, 0.16620965802931317, -0.2698300822933273, -0.16223735292016234, 0.21248704852627182, -0.06521257553703902, 0.10022776041757712, 0.04394064033858296, 0.09107064130796239, -0.07746031466678421, -0.25131636311402317, 0.3933699184591405, -0.026951546931253154, 0.2237135892202964, 0.0006165920001477366, 0.11731898354539624, 0.002649209736108144, 0.02368685282059099, 0.01866091356226584, -0.16518142616312217, 0.12343161007696081, 0.2037814694212568, 0.09939232700867806, 0.3007216255475835, -0.4194473205702152, -0.17557886646912865, 0.13672916433296917, 0.13236940781431125, 0.060363465372086846, -0.016325713660590713, -0.2535703329783978, 0.1363458157596519, -0.14044182374869352, -0.1785268035700272, -0.07082760260758422, 0.008150618123004168, 0.0741867153598677, -0.24598274901282133, 0.0795589437885366, 0.09272318722384913, 0.07225122187349083, -0.08757727862997321, -0.0994542676099383, -0.016336239894948583, 0.10981158168206315, 0.07589552727266692, 0.005552641323358729, 0.06162388810444987, -0.1124447498771521, -0.08928424140109067, 0.35212234537707776, -0.08592661436359333, -0.2398685245808759, 0.20510173709949525, -0.12747712711173267, -0.11718173025505299, 0.12360815572688674, 0.1633533828994032, 0.17176201078393383, -0.13636782393897615, 0.10786985984908291, -0.03459427800319135, 0.15057396848981336, 0.07106055308803462, 0.04394184985118577, 0.1430714479420425, 0.1486321678981412, 0.13402970551183765, 0.1265159655708774, -0.05350230922890549, -0.09696853903644695, -0.3245682429136118, -0.10582306533313651, -0.172389223258772, 0.0514555674716376, -0.09416646062491942, -0.18606013989518966, 0.4177649442401783, 0.1584729589408309, 0.18066245753022775, 0.04858363273874935, 0.2686296437168494, 0.19380631207462923, 0.029161486803520636, 0.06603714831389214, 0.23600207741809553, 0.12878218409747294, 0.08492426641807868, -0.22022483566287543, 0.04260351405892146, 0.1270410283170527] |
709.4419 | Reply to comment on ``Competing Interactions, the Renormalization Group
and the Isotropic-Nematic Phase Transition'' | The focus of our work is to identify conditions for the presence of an
isotropic-nematic phase transition in the context of a generic system with
isotropic competing interactions. The comment 0709.4205 criticizes our results
by showing that the low temperature fluctuations of a stripe phase in 2d
diverge linearly in the thermodynamic limit. The analysis is restricted to the
stripe phase and does not apply to the central result of our letter. We show,
contrary to what is suggested in the comment, that the model introduced by D.
G. Barci and D. A. Stariolo in PRL98, 200604 (2007) undergoes an
isotropic-nematic phase transition in the Kosterlitz-Thouless universality
class.
| cond-mat.soft cond-mat.stat-mech | the focus of our work is to identify conditions for the presence of an isotropicnematic phase transition in the context of a generic system with isotropic competing interactions the comment 07094205 criticizes our results by showing that the low temperature fluctuations of a stripe phase in 2d diverge linearly in the thermodynamic limit the analysis is restricted to the stripe phase and does not apply to the central result of our letter we show contrary to what is suggested in the comment that the model introduced by d g barci and d a stariolo in prl98 200604 2007 undergoes an isotropicnematic phase transition in the kosterlitzthouless universality class | [['the', 'focus', 'of', 'our', 'work', 'is', 'to', 'identify', 'conditions', 'for', 'the', 'presence', 'of', 'an', 'isotropicnematic', 'phase', 'transition', 'in', 'the', 'context', 'of', 'a', 'generic', 'system', 'with', 'isotropic', 'competing', 'interactions', 'the', 'comment', '07094205', 'criticizes', 'our', 'results', 'by', 'showing', 'that', 'the', 'low', 'temperature', 'fluctuations', 'of', 'a', 'stripe', 'phase', 'in', '2d', 'diverge', 'linearly', 'in', 'the', 'thermodynamic', 'limit', 'the', 'analysis', 'is', 'restricted', 'to', 'the', 'stripe', 'phase', 'and', 'does', 'not', 'apply', 'to', 'the', 'central', 'result', 'of', 'our', 'letter', 'we', 'show', 'contrary', 'to', 'what', 'is', 'suggested', 'in', 'the', 'comment', 'that', 'the', 'model', 'introduced', 'by', 'd', 'g', 'barci', 'and', 'd', 'a', 'stariolo', 'in', 'prl98', '200604', '2007', 'undergoes', 'an', 'isotropicnematic', 'phase', 'transition', 'in', 'the', 'kosterlitzthouless', 'universality', 'class']] | [-0.14610372202542538, 0.1699464701794988, -0.08930454947123788, 0.0026923930261266204, -0.020802962571346704, -0.09462627483299002, 0.0767446999760488, 0.31194995831734, -0.20512897554838744, -0.2600002886655812, 0.07444017112273006, -0.28341148128339017, -0.17868505510537383, 0.1191673611510151, -0.03695219829499435, -0.0005472843141223376, -0.03257053396597397, 0.021873643861349244, -0.10676695008721883, -0.2294925728526253, 0.3316687194433493, 0.027922272216528654, 0.30736355440547836, 0.07142055002399363, 0.01769043296091975, -0.0184397713985443, 0.03106643821900854, 0.029634228638874795, -0.18123215788490107, -0.0029132461103682336, 0.2264728759540818, 0.03261853670343184, 0.20655514897169688, -0.36853236094332087, -0.23753732938964206, 0.11117610286992903, 0.1122669025342195, 0.1380102775605897, -0.01973678653415006, -0.2855643780113986, 0.04867505775025795, -0.15610500561216703, -0.14980392208627352, -0.061073333638397835, 0.03848433576954099, -0.0038253698954716898, -0.2550078654133428, 0.1074175699076687, 0.15164935922859094, 0.030215212027542293, -0.04975245142794357, -0.052948233786782324, -0.034762840039687805, 0.08445608164094245, 0.05185651037810693, 0.10294090012589899, 0.09194547100923955, -0.1275744167729639, -0.10972687996064241, 0.40207613164630646, -0.08037348575397538, -0.11448239653075759, 0.20862913189026025, -0.19460869148875085, -0.15581520039659852, 0.15054747103176153, 0.12851226440789804, 0.1064892617152789, -0.09264199296460272, 0.08421116267793248, -0.03618058124825788, 0.1967428252683021, -0.016080998656644415, -0.02740899960582073, 0.1929484195229284, 0.18532236506647537, 0.020255061502281863, 0.1936318177859693, -0.09518270774816091, -0.13165541864761438, -0.29801731191288966, -0.1452574246795848, -0.21150493437576537, -0.011725795176411898, -0.0699012994790302, -0.1843648782859628, 0.3525465475843073, 0.2273352576795822, 0.23865455810804492, 0.012777862853209417, 0.1977740029755156, 0.09630208103268299, 0.0021344191672352073, 0.05417387003902919, 0.30166180682135746, 0.11762535624438897, 0.12752623094890553, -0.24428268667543307, 0.04391505697724195, 0.07096273670546137] |
709.442 | Confirmation of Shannon's Mistake about Perfect Secrecy of One-time-pad | This paper has been withdrawn
| cs.CR | 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] |
709.4421 | Isometry classes of generalized associahedra | Let $(W,S)$ be a finite Coxeter system acting by reflections on an $\mathbb
R$-Euclidean space with simple roots $\Delta=\{\a_s | s\in S\}$ of the same
length and fundamental weights $\Delta^*=\{v_s | s\in S\}$. We set
$M(e)=\sum_{s\in S}\kappa_s v_s$, $\kappa_s>0$, and for $w\in W$ we set
$M(w)=w(M(e))$. The permutahedron $Perm(W)$ is the convex hull of the set
$\{M(w) | w\in W\}$. Given a Coxeter element $c\in W$, we have defined in a
previous work a generalized associahedron $Asso_c(W)$ whose normal fan is the
corresponding $c$-Cambrian fan $F_c$ defined by N. Reading. By construction,
$Asso_c(W)$ is obtained from $Perm(W)$ by removing some halfspaces according to
a rule prescribed by $c$. In this work, we classify the isometry classes of
these realizations. More precisely, for $(W,S)$ an irreducible finite Coxeter
system and $c,c'$ two Coxeter elements in $W$, we have that $Asso_{c}(W)$ and
$Asso_{c'}(W)$ are isometric if and only if $\mu(c') = c$ or
$\mu(c')=w_0c^{-1}w_0$ for $\mu$ an automorphism of the Coxeter graph of $W$
such that $\kappa_s=\kappa_{\mu(s)}$ for all $s\in S$. As a byproduct, we
classify the isometric Cambrian fans of $W$.
| math.CO | let ws be a finite coxeter system acting by reflections on an mathbb reuclidean space with simple roots deltaa_s sin s of the same length and fundamental weights deltav_s sin s we set mesum_sin skappa_s v_s kappa_s0 and for win w we set mwwme the permutahedron permw is the convex hull of the set mw win w given a coxeter element cin w we have defined in a previous work a generalized associahedron asso_cw whose normal fan is the corresponding ccambrian fan f_c defined by n reading by construction asso_cw is obtained from permw by removing some halfspaces according to a rule prescribed by c in this work we classify the isometry classes of these realizations more precisely for ws an irreducible finite coxeter system and cc two coxeter elements in w we have that asso_cw and asso_cw are isometric if and only if muc c or mucw_0c1w_0 for mu an automorphism of the coxeter graph of w such that kappa_skappa_mus for all sin s as a byproduct we classify the isometric cambrian fans of w | [['let', 'ws', 'be', 'a', 'finite', 'coxeter', 'system', 'acting', 'by', 'reflections', 'on', 'an', 'mathbb', 'reuclidean', 'space', 'with', 'simple', 'roots', 'deltaa_s', 'sin', 's', 'of', 'the', 'same', 'length', 'and', 'fundamental', 'weights', 'deltav_s', 'sin', 's', 'we', 'set', 'mesum_sin', 'skappa_s', 'v_s', 'kappa_s0', 'and', 'for', 'win', 'w', 'we', 'set', 'mwwme', 'the', 'permutahedron', 'permw', 'is', 'the', 'convex', 'hull', 'of', 'the', 'set', 'mw', 'win', 'w', 'given', 'a', 'coxeter', 'element', 'cin', 'w', 'we', 'have', 'defined', 'in', 'a', 'previous', 'work', 'a', 'generalized', 'associahedron', 'asso_cw', 'whose', 'normal', 'fan', 'is', 'the', 'corresponding', 'ccambrian', 'fan', 'f_c', 'defined', 'by', 'n', 'reading', 'by', 'construction', 'asso_cw', 'is', 'obtained', 'from', 'permw', 'by', 'removing', 'some', 'halfspaces', 'according', 'to', 'a', 'rule', 'prescribed', 'by', 'c', 'in', 'this', 'work', 'we', 'classify', 'the', 'isometry', 'classes', 'of', 'these', 'realizations', 'more', 'precisely', 'for', 'ws', 'an', 'irreducible', 'finite', 'coxeter', 'system', 'and', 'cc', 'two', 'coxeter', 'elements', 'in', 'w', 'we', 'have', 'that', 'asso_cw', 'and', 'asso_cw', 'are', 'isometric', 'if', 'and', 'only', 'if', 'muc', 'c', 'or', 'mucw_0c1w_0', 'for', 'mu', 'an', 'automorphism', 'of', 'the', 'coxeter', 'graph', 'of', 'w', 'such', 'that', 'kappa_skappa_mus', 'for', 'all', 'sin', 's', 'as', 'a', 'byproduct', 'we', 'classify', 'the', 'isometric', 'cambrian', 'fans', 'of', 'w']] | [-0.11640840777334847, 0.17993813301659264, -0.009465515173141318, -0.04066072720669614, -0.09514621443799641, -0.18071713421426444, 0.07634711679960433, 0.3620537799300559, -0.33508178230980973, -0.19376863668643285, 0.06248643252499267, -0.31375184991812133, -0.10531292667862095, 0.17630960689492928, -0.13290335295486252, -0.0052522431514843045, 0.07121038289056215, 0.08992165856831988, -0.06929595934238329, -0.28689976151368485, 0.344615980275873, -0.0835874388394148, 0.17653636352708899, -0.021831433706726116, 0.08696261621399429, 0.018636222442062235, -0.016706619627706438, 0.02096337499881566, -0.17319322679605945, 0.08119080231962614, 0.24088805633125804, 0.12860372252145177, 0.20695598346057786, -0.3120903740216226, -0.11558856339742996, 0.19649776737822824, 0.13612680853883097, -0.01171568981848702, -0.010338836127674033, -0.26527367692429527, 0.1442096810872072, -0.17756827183752263, -0.15258480100022875, 0.005163892194718482, 0.15844090894027332, 0.005818962705804102, -0.2800358140684036, -0.03346477862986096, 0.12748875217975106, 0.09024334338729281, 0.0005060900451548128, -0.1684184515419562, -0.08480147279501635, 0.07205994331617335, -0.08745622144119972, 0.09644158119518108, 0.0623499213811501, -0.036980073143032394, -0.12370811931856246, 0.4114851482234985, -0.046611882558272005, -0.2638613455872758, 0.1214245692967067, -0.15005084848962724, -0.09976046581763819, 0.10909882051370903, 0.1250872248379585, 0.10678361805649586, -0.07112563156287174, 0.18013064859046443, -0.14997796177252543, 0.07116994246172842, 0.13523752827769572, -0.03457611763053181, 0.10143304089959486, 0.08174557657351336, 0.055170593640194776, 0.09779359900170105, 0.01933100128810045, 0.07351962878391237, -0.36917737432676984, -0.19107411869858387, -0.16906111313840824, 0.1272138564522008, -0.1231691769336691, -0.15351650011950138, 0.35954479345524437, 0.028812494746083956, 0.2168027027671405, 0.06672753936313766, 0.1486947837577437, 0.051682364047173246, 0.05383703437793708, 0.09022941636718008, 0.09341046439447996, 0.1649724834266186, -0.05094603625482442, -0.17110313293215515, 0.020574695305865122, 0.20463247174756174] |
709.4422 | Towards $B \to V \gamma$ Decays at NNLO in SCET | We compute NNLO (${\cal O}(\alpha_s^2)$) corrections to the hard-scattering
kernels entering the QCD factorization formula for $B\to V\gamma$ decays, where
$V$ is a light vector meson. We give complete NNLO results for the dipole
operators $Q_7$ and $Q_8$, and partial results for $Q_1$ valid in the
large-$\beta_0$ limit and neglecting the NNLO correction from hard spectator
scattering. Large perturbative logarithms in the hard-scattering kernels are
identified and resummed using soft-collinear effective theory. We use our
results to estimate the branching fractions for $B\to K^*\gamma$ and $B_s\to
\phi\gamma$ decays at NNLO and compare them with the current experimental data.
| hep-ph hep-ex | we compute nnlo cal oalpha_s2 corrections to the hardscattering kernels entering the qcd factorization formula for bto vgamma decays where v is a light vector meson we give complete nnlo results for the dipole operators q_7 and q_8 and partial results for q_1 valid in the largebeta_0 limit and neglecting the nnlo correction from hard spectator scattering large perturbative logarithms in the hardscattering kernels are identified and resummed using softcollinear effective theory we use our results to estimate the branching fractions for bto kgamma and b_sto phigamma decays at nnlo and compare them with the current experimental data | [['we', 'compute', 'nnlo', 'cal', 'oalpha_s2', 'corrections', 'to', 'the', 'hardscattering', 'kernels', 'entering', 'the', 'qcd', 'factorization', 'formula', 'for', 'bto', 'vgamma', 'decays', 'where', 'v', 'is', 'a', 'light', 'vector', 'meson', 'we', 'give', 'complete', 'nnlo', 'results', 'for', 'the', 'dipole', 'operators', 'q_7', 'and', 'q_8', 'and', 'partial', 'results', 'for', 'q_1', 'valid', 'in', 'the', 'largebeta_0', 'limit', 'and', 'neglecting', 'the', 'nnlo', 'correction', 'from', 'hard', 'spectator', 'scattering', 'large', 'perturbative', 'logarithms', 'in', 'the', 'hardscattering', 'kernels', 'are', 'identified', 'and', 'resummed', 'using', 'softcollinear', 'effective', 'theory', 'we', 'use', 'our', 'results', 'to', 'estimate', 'the', 'branching', 'fractions', 'for', 'bto', 'kgamma', 'and', 'b_sto', 'phigamma', 'decays', 'at', 'nnlo', 'and', 'compare', 'them', 'with', 'the', 'current', 'experimental', 'data']] | [-0.057109499799814646, 0.17415410742562795, -0.10036261670994667, 0.16417254088090125, -0.07901484165483211, -0.05425844430015898, 0.054673073472388624, 0.3302702734018771, -0.1731805278615532, -0.11424451568211448, -0.01251050324074696, -0.39670932635056727, -0.009874334290970534, 0.10270115305498546, 0.09804422817459064, 0.1721854598489495, 0.08049793516960452, -0.039552603981324604, -0.0785741975759061, -0.2119423079266384, 0.2943623486801754, -0.03955284392993365, 0.14083420236747027, 0.21451648989958422, -0.0046347485681786675, 0.06893176881225818, -0.10754074029890555, -0.0805055080741948, -0.1800780029140641, 0.05667227389747087, 0.2921361759642367, 0.04179360593041899, 0.05154382651529218, -0.3683519255564719, 0.010509959609741916, 0.07862667110273425, 0.1748269290701315, 0.1168165073387933, 0.04336520496337694, -0.3040914835636409, 0.12199512336460151, -0.2724343676652227, -0.09206752963031509, -0.24185131824271258, 0.025261183858525996, -0.09411408911858286, -0.453077548810718, 0.06366926688571432, -0.08812136363656241, -0.02307968823552816, 0.026539210230112076, -0.2615361406220769, -0.011035520310171557, 0.03970760735683143, 0.12359047040808946, 0.1323729082846976, 0.16495258940326774, -0.20147702491329034, -0.20916665870962398, 0.4047364035279167, -0.09971821950558497, -0.16862029661376943, 0.03225713826202768, -0.24689336521170882, -0.20249969289847175, 0.16678638076552246, 0.22783726908988794, 0.12497098971994555, -0.1452204280779982, 0.2195248859043575, 0.038335081396567425, 0.10822023476512001, 0.0843274084404491, 0.05864468827007376, 0.06364959362438138, 0.09485248255790496, -0.09460279829229931, 0.04307105625761026, -0.03624197622857351, -0.08710885858068204, -0.47825374251245806, -0.04959878545938706, -0.04945169887695538, 0.08185536182979691, -0.18433129343463164, -0.13512033780523558, 0.29963990165471877, 0.11612591346516749, 0.2878905247459758, 0.14009039572021942, 0.3656088921184443, 0.18633781018671675, 0.08206613132806152, 0.1262313310741162, 0.2810573244315325, 0.21850585045140922, 0.11025382512325078, -0.2726615245943433, -0.019569132343998978, 0.1368139017781965] |
709.4423 | Effects of CMB temperature uncertainties on cosmological parameter
estimation | We estimate the effect of the experimental uncertainty in the measurement of
the temperature of the cosmic microwave background (CMB) on the extraction of
cosmological parameters from future CMB surveys. We find that even for an ideal
experiment limited only by cosmic variance up to l = 2500 for both the
temperature and polarisation measurements, the projected cosmological parameter
errors are remarkably robust against the uncertainty of 1 mK in the FIRAS
instrument's CMB temperature monopole measurement. The maximum degradation in
sensitivity is 20%, for the baryon density estimate, relative to the case in
which the monopole is known infinitely well. While this degradation is
acceptable, we note that reducing the uncertainty in the current temperature
measurement by a factor of five will bring it down to the per cent level. We
also estimate the effect of the uncertainty in the dipole temperature
measurement. Assuming the overall calibration of the data to be dominated by
the dipole error of 0.2% from FIRAS, the sensitivity degradation is
insignificant and does not exceed 10% in any parameter direction.
| astro-ph | we estimate the effect of the experimental uncertainty in the measurement of the temperature of the cosmic microwave background cmb on the extraction of cosmological parameters from future cmb surveys we find that even for an ideal experiment limited only by cosmic variance up to l 2500 for both the temperature and polarisation measurements the projected cosmological parameter errors are remarkably robust against the uncertainty of 1 mk in the firas instruments cmb temperature monopole measurement the maximum degradation in sensitivity is 20 for the baryon density estimate relative to the case in which the monopole is known infinitely well while this degradation is acceptable we note that reducing the uncertainty in the current temperature measurement by a factor of five will bring it down to the per cent level we also estimate the effect of the uncertainty in the dipole temperature measurement assuming the overall calibration of the data to be dominated by the dipole error of 02 from firas the sensitivity degradation is insignificant and does not exceed 10 in any parameter direction | [['we', 'estimate', 'the', 'effect', 'of', 'the', 'experimental', 'uncertainty', 'in', 'the', 'measurement', 'of', 'the', 'temperature', 'of', 'the', 'cosmic', 'microwave', 'background', 'cmb', 'on', 'the', 'extraction', 'of', 'cosmological', 'parameters', 'from', 'future', 'cmb', 'surveys', 'we', 'find', 'that', 'even', 'for', 'an', 'ideal', 'experiment', 'limited', 'only', 'by', 'cosmic', 'variance', 'up', 'to', 'l', '2500', 'for', 'both', 'the', 'temperature', 'and', 'polarisation', 'measurements', 'the', 'projected', 'cosmological', 'parameter', 'errors', 'are', 'remarkably', 'robust', 'against', 'the', 'uncertainty', 'of', '1', 'mk', 'in', 'the', 'firas', 'instruments', 'cmb', 'temperature', 'monopole', 'measurement', 'the', 'maximum', 'degradation', 'in', 'sensitivity', 'is', '20', 'for', 'the', 'baryon', 'density', 'estimate', 'relative', 'to', 'the', 'case', 'in', 'which', 'the', 'monopole', 'is', 'known', 'infinitely', 'well', 'while', 'this', 'degradation', 'is', 'acceptable', 'we', 'note', 'that', 'reducing', 'the', 'uncertainty', 'in', 'the', 'current', 'temperature', 'measurement', 'by', 'a', 'factor', 'of', 'five', 'will', 'bring', 'it', 'down', 'to', 'the', 'per', 'cent', 'level', 'we', 'also', 'estimate', 'the', 'effect', 'of', 'the', 'uncertainty', 'in', 'the', 'dipole', 'temperature', 'measurement', 'assuming', 'the', 'overall', 'calibration', 'of', 'the', 'data', 'to', 'be', 'dominated', 'by', 'the', 'dipole', 'error', 'of', '02', 'from', 'firas', 'the', 'sensitivity', 'degradation', 'is', 'insignificant', 'and', 'does', 'not', 'exceed', '10', 'in', 'any', 'parameter', 'direction']] | [-0.08977728408362184, 0.15285768543311862, -0.024211136932883945, 0.06645134240588439, -0.03685425046299185, -0.05528053103280919, 0.0663304101855361, 0.3298521129148347, -0.23246002869946616, -0.37358509578076854, 0.10420826085776623, -0.3310135985192444, -0.00159358910384721, 0.22008968720478672, -0.03376249459705182, 0.02895127919103418, 0.028611846890832696, 0.031097432698256204, -0.07612838839712951, -0.24215042240252452, 0.2630330426578543, 0.17930795134444322, 0.2886222050977605, 0.05615770328257765, 0.09956322077462183, -0.05264964400790632, -0.0667249712055283, 0.042019946772073, -0.13145314419667037, 0.053367496321776085, 0.21662692397300687, 0.10372703665335263, 0.1914273400019322, -0.3437442541441747, -0.202265193151044, 0.14829702447368098, 0.10885798297223769, 0.147513963018095, -0.00041946452709713155, -0.2407313641998917, 0.05062930241859119, -0.14907430614743913, -0.11465033318581326, -0.03016698664719505, -0.0007731547246554068, -0.013953670110620027, -0.27383147517219186, 0.15600954979242357, 0.029702179798665122, 0.05317794505373708, -0.06221254689885037, -0.15076268510626895, -0.0077505987736263444, 0.09690012256215726, 0.05003990475886634, 0.06946185457204203, 0.17751674952517663, -0.1254549613422049, -0.04539437529165298, 0.36408684780022926, -0.13569913123069066, -0.14611639188735612, 0.06837944301111358, -0.23447121371980756, -0.129532647116908, 0.13612246045576676, 0.13583061969406637, 0.03502573249861598, -0.14190168056104865, 0.06425148538114236, 0.0569145255076832, 0.23573657466896944, 0.06464015365977373, 0.027354170930172717, 0.23711170699979578, 0.15826840532610992, 0.10268996833424483, 0.08134280584885606, -0.19242391953377852, 0.0153326523969216, -0.32806398891444716, -0.0968917670553284, -0.17309686193774854, 0.07547780709216438, -0.14489545203329596, -0.10601095281142209, 0.36992035639605353, 0.23070138636444296, 0.20481275395623275, 0.03188063247062798, 0.3701646687516144, 0.08923897163077657, 0.07166374837713582, 0.03510689955204725, 0.37064955146451084, 0.12536576187903328, 0.07297232466483755, -0.26129406306892633, 0.06220513175640787, -0.06157181270985997] |
709.4424 | Fermi-Fermi Mixtures in the Strong Attraction Limit | The phase diagrams of low density Fermi-Fermi mixtures with equal or unequal
masses and equal or unequal populations are described at zero and finite
temperatures in the strong attraction limit. In this limit, the Fermi-Fermi
mixture can be described by a weakly interacting Bose-Fermi mixture, where the
bosons correspond to Feshbach molecules and the fermions correspond to excess
atoms. First, we discuss the three and four fermion scattering processes, and
use the exact boson-fermion and boson-boson scattering lengths to generate the
phase diagrams in terms of the underlying fermion-fermion scattering length. In
three dimensions, in addition to the normal and uniform superfluid phases, we
find two stable non-uniform states corresponding to (1) phase separation
between pure unpaired (excess) and pure paired fermions (molecular bosons); and
(2) phase separation between pure excess fermions and a mixture of excess
fermions and molecular bosons. Lastly, we also discuss the effects of the
trapping potential in the density profiles of condensed and non-condensed
molecular bosons, and excess fermions at zero and finite temperatures, and
discuss possible implications of our findings to experiments involving mixtures
of ultracold fermions.
| cond-mat.supr-con cond-mat.other | the phase diagrams of low density fermifermi mixtures with equal or unequal masses and equal or unequal populations are described at zero and finite temperatures in the strong attraction limit in this limit the fermifermi mixture can be described by a weakly interacting bosefermi mixture where the bosons correspond to feshbach molecules and the fermions correspond to excess atoms first we discuss the three and four fermion scattering processes and use the exact bosonfermion and bosonboson scattering lengths to generate the phase diagrams in terms of the underlying fermionfermion scattering length in three dimensions in addition to the normal and uniform superfluid phases we find two stable nonuniform states corresponding to 1 phase separation between pure unpaired excess and pure paired fermions molecular bosons and 2 phase separation between pure excess fermions and a mixture of excess fermions and molecular bosons lastly we also discuss the effects of the trapping potential in the density profiles of condensed and noncondensed molecular bosons and excess fermions at zero and finite temperatures and discuss possible implications of our findings to experiments involving mixtures of ultracold fermions | [['the', 'phase', 'diagrams', 'of', 'low', 'density', 'fermifermi', 'mixtures', 'with', 'equal', 'or', 'unequal', 'masses', 'and', 'equal', 'or', 'unequal', 'populations', 'are', 'described', 'at', 'zero', 'and', 'finite', 'temperatures', 'in', 'the', 'strong', 'attraction', 'limit', 'in', 'this', 'limit', 'the', 'fermifermi', 'mixture', 'can', 'be', 'described', 'by', 'a', 'weakly', 'interacting', 'bosefermi', 'mixture', 'where', 'the', 'bosons', 'correspond', 'to', 'feshbach', 'molecules', 'and', 'the', 'fermions', 'correspond', 'to', 'excess', 'atoms', 'first', 'we', 'discuss', 'the', 'three', 'and', 'four', 'fermion', 'scattering', 'processes', 'and', 'use', 'the', 'exact', 'bosonfermion', 'and', 'bosonboson', 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709.4425 | Probabilistic annotation of protein sequences based on functional
classifications | BACKGROUND: One of the most evident achievements of bioinformatics is the
development of methods that transfer biological knowledge from characterised
proteins to uncharacterised sequences. This mode of protein function assignment
is mostly based on the detection of sequence similarity and the premise that
functional properties are conserved during evolution. Most automatic approaches
developed to date rely on the identification of clusters of homologous proteins
and the mapping of new proteins onto these clusters, which are expected to
share functional characteristics. RESULTS: Here, we inverse the logic of this
process, by considering the mapping of sequences directly to a functional
classification instead of mapping functions to a sequence clustering. In this
mode, the starting point is a database of labelled proteins according to a
functional classification scheme, and the subsequent use of sequence similarity
allows defining the membership of new proteins to these functional classes. In
this framework, we define the Correspondence Indicators as measures of
relationship between sequence and function and further formulate two Bayesian
approaches to estimate the probability for a sequence of unknown function to
belong to a functional class. This approach allows the parametrisation of
different sequence search strategies and provides a direct measure of
annotation error rates. We validate this approach with a database of enzymes
labelled by their corresponding four-digit EC numbers and analyse specific
cases. CONCLUSION: The performance of this method is significantly higher than
the simple strategy consisting in transferring the annotation from the highest
scoring BLAST match and is expected to find applications in automated
functional annotation pipelines.
| q-bio.QM | background one of the most evident achievements of bioinformatics is the development of methods that transfer biological knowledge from characterised proteins to uncharacterised sequences this mode of protein function assignment is mostly based on the detection of sequence similarity and the premise that functional properties are conserved during evolution most automatic approaches developed to date rely on the identification of clusters of homologous proteins and the mapping of new proteins onto these clusters which are expected to share functional characteristics results here we inverse the logic of this process by considering the mapping of sequences directly to a functional classification instead of mapping functions to a sequence clustering in this mode the starting point is a database of labelled proteins according to a functional classification scheme and the subsequent use of sequence similarity allows defining the membership of new proteins to these functional classes in this framework we define the correspondence indicators as measures of relationship between sequence and function and further formulate two bayesian approaches to estimate the probability for a sequence of unknown function to belong to a functional class this approach allows the parametrisation of different sequence search strategies and provides a direct measure of annotation error rates we validate this approach with a database of enzymes labelled by their corresponding fourdigit ec numbers and analyse specific cases conclusion the performance of this method is significantly higher than the simple strategy consisting in transferring the annotation from the highest scoring blast match and is expected to find applications in automated functional annotation pipelines | [['background', 'one', 'of', 'the', 'most', 'evident', 'achievements', 'of', 'bioinformatics', 'is', 'the', 'development', 'of', 'methods', 'that', 'transfer', 'biological', 'knowledge', 'from', 'characterised', 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709.4426 | Precision measurements of alphas at HERA | Recent determinations of alphas(Mz) from the H1 and ZEUS Collaborations using
inclusive-jet cross-section measurements in neutral current deep inelastic
scattering at high Q2 are presented. A combined value of alphas(mz)=0.1198 +-
0.0019 (exp.) +- 0.0026 (th.) was obtained from these measurements. The
determinations of alphas at various scales clearly show the running of the
coupling from HERA jet data alone and in agreement with the prediction of QCD.
| hep-ex | recent determinations of alphasmz from the h1 and zeus collaborations using inclusivejet crosssection measurements in neutral current deep inelastic scattering at high q2 are presented a combined value of alphasmz01198 00019 exp 00026 th was obtained from these measurements the determinations of alphas at various scales clearly show the running of the coupling from hera jet data alone and in agreement with the prediction of qcd | [['recent', 'determinations', 'of', 'alphasmz', 'from', 'the', 'h1', 'and', 'zeus', 'collaborations', 'using', 'inclusivejet', 'crosssection', 'measurements', 'in', 'neutral', 'current', 'deep', 'inelastic', 'scattering', 'at', 'high', 'q2', 'are', 'presented', 'a', 'combined', 'value', 'of', 'alphasmz01198', '00019', 'exp', '00026', 'th', 'was', 'obtained', 'from', 'these', 'measurements', 'the', 'determinations', 'of', 'alphas', 'at', 'various', 'scales', 'clearly', 'show', 'the', 'running', 'of', 'the', 'coupling', 'from', 'hera', 'jet', 'data', 'alone', 'and', 'in', 'agreement', 'with', 'the', 'prediction', 'of', 'qcd']] | [-0.04989753129820411, 0.14423135285838865, -0.0820544266106131, 0.05329534958761472, 0.029791356211241623, -0.06741706925050284, 0.0325836337207315, 0.3497828905399029, -0.18895704498371252, -0.3085276203373304, 0.04506145561474394, -0.4324701786614381, 0.06686453018337488, 0.20517545171225302, 0.11004871998268824, 0.13513393240192761, 0.12447490683541848, -0.03512909597932146, -0.09501201324164868, -0.19147686317491416, 0.2653058583346697, 0.08842881674690244, 0.25036751794127315, 0.13598554781996286, 0.06166954999968696, 0.033529629135647644, -0.14536123467752568, -0.00857070184384401, -0.1950563792927334, 0.08501126029743598, 0.2628005331919457, 0.051069025083695756, 0.09011750355756913, -0.37260611034356633, -0.0879377011782848, 0.008907912943798762, 0.12001503893317511, 0.06620017318055034, -0.04262308981627799, -0.30290329828858376, 0.05124912391631649, -0.18256570039531933, -0.08042043065294051, -0.03968760061006133, -0.005729615802948292, 0.011610807320819452, -0.3420273977690018, 0.13285661692946002, -0.13883983984303017, 0.07943964720023079, -0.05221459267374415, -0.25759342981215855, -0.041045996938975385, 0.03013072471635846, 0.09173311906365247, 0.1657669945118519, 0.1259435749702299, -0.1806222088402137, -0.12438051404718023, 0.3202768978018027, -0.1167445024762016, -0.04375490557688933, 0.12894463436678053, -0.27673033515994366, -0.1662942402637922, 0.15568415867881133, 0.16987879918171808, 0.035155186623943825, -0.15625415169992127, 0.11357406552415342, -0.030477663709853706, 0.19510484552727295, 0.07040016663332398, -0.00253664712844721, 0.1385184379437795, 0.20336176298845274, -0.09725624788552523, -0.052812036055211835, -0.14372423087748198, -0.03377993191377475, -0.35981134050167524, -0.002060885817851298, -0.10915180774262319, 0.07710283958496382, -0.13528029008795364, -0.003527506197301241, 0.26610797758285815, 0.12546665634995757, 0.31413213518949656, 0.06347393708733412, 0.32442264505303825, 0.07072983284910711, 0.11390207997308327, 0.0472441536696771, 0.3845992196637851, 0.16049837849747675, 0.196287214053938, -0.24574988801390507, 0.045293942983978645, -0.0033997233957052233] |
709.4427 | Dynamical Electron Mass in a Strong Magnetic Field | Motivated by recent interest in understanding properties of strongly
magnetized matter, we study the dynamical electron mass generated through
approximate chiral symmetry breaking in QED in a strong magnetic field. We
reliably calculate the dynamical electron mass by numerically solving the
nonperturbative Schwinger-Dyson equations in a consistent truncation within the
lowest Landau level approximation. It is shown that the generation of dynamical
electron mass in a strong magnetic field is significantly enhanced by the
perturbative electron mass that explicitly breaks chiral symmetry in the
absence of a magnetic field.
| hep-ph astro-ph | motivated by recent interest in understanding properties of strongly magnetized matter we study the dynamical electron mass generated through approximate chiral symmetry breaking in qed in a strong magnetic field we reliably calculate the dynamical electron mass by numerically solving the nonperturbative schwingerdyson equations in a consistent truncation within the lowest landau level approximation it is shown that the generation of dynamical electron mass in a strong magnetic field is significantly enhanced by the perturbative electron mass that explicitly breaks chiral symmetry in the absence of a magnetic field | [['motivated', 'by', 'recent', 'interest', 'in', 'understanding', 'properties', 'of', 'strongly', 'magnetized', 'matter', 'we', 'study', 'the', 'dynamical', 'electron', 'mass', 'generated', 'through', 'approximate', 'chiral', 'symmetry', 'breaking', 'in', 'qed', 'in', 'a', 'strong', 'magnetic', 'field', 'we', 'reliably', 'calculate', 'the', 'dynamical', 'electron', 'mass', 'by', 'numerically', 'solving', 'the', 'nonperturbative', 'schwingerdyson', 'equations', 'in', 'a', 'consistent', 'truncation', 'within', 'the', 'lowest', 'landau', 'level', 'approximation', 'it', 'is', 'shown', 'that', 'the', 'generation', 'of', 'dynamical', 'electron', 'mass', 'in', 'a', 'strong', 'magnetic', 'field', 'is', 'significantly', 'enhanced', 'by', 'the', 'perturbative', 'electron', 'mass', 'that', 'explicitly', 'breaks', 'chiral', 'symmetry', 'in', 'the', 'absence', 'of', 'a', 'magnetic', 'field']] | [-0.1713636918084989, 0.2479383729063393, -0.04394322878607873, 0.11998167670896967, -0.02994594168378396, -0.043373808702924864, 0.008592855561985059, 0.3278491360271412, -0.20048330305667406, -0.3076388526189905, 0.003558722662142991, -0.20923651260418002, -0.10449376348092147, 0.13516082099816773, 0.05303913525180117, 0.05034609855246845, -0.030421718329798137, 0.012815333337763721, -0.12548786074739327, -0.1642954311794026, 0.3326007332495843, 0.03316550877656829, 0.2754400016091178, 0.1192056692330941, 0.06375398259777366, 0.015894041548409822, 0.0334530585141999, 0.03511535227194094, -0.10189797788458808, 0.019870956458433876, 0.1780202490057838, -0.0351362040140823, 0.2356935835160901, -0.44715804280189986, -0.22746665599714086, -0.0024160598927920455, 0.1810935168118959, 0.15544237359688523, -0.15287111730974043, -0.2871325897638885, 0.06345741985512249, -0.1899977442546842, -0.21668356798819444, -0.11050729014063149, -0.026353298708681396, -0.045446946549888574, -0.2942105589874005, 0.14862240459560677, 0.02481871090987645, 0.025077345900059667, -0.07305203777936738, -0.02004666988518131, -0.08358056169249159, 0.022189682485598525, 0.1190678815074851, 0.0830632721095508, 0.171148887659512, -0.22072261637809237, -0.10223015231470148, 0.38456235294429103, -0.09644601984980275, -0.16309024670077593, 0.12881893175392506, -0.22126697195861278, -0.15715521594948983, 0.19164408579615227, 0.14139602234158036, 0.10634661846783723, -0.18965741336931674, 0.16282941674907808, -0.06651712477918756, 0.1627232087462136, 0.027297979218131874, 0.025177581884552925, 0.28689963575661853, 0.16184918676356502, 0.00045224412061860053, 0.06456465499077955, -0.04015825917483883, -0.1291679682293802, -0.25405034681342625, -0.07757166682041428, -0.1848420991321628, 0.08783599814881435, -0.07541495938837696, -0.13975236967848248, 0.42179009124762223, 0.20484817371274647, 0.15984512590332312, -0.0626379326142873, 0.31902176299226587, 0.19839342413574793, 0.08481880835403971, 0.061707077600229324, 0.3165128324756378, 0.22937100810087757, 0.0366993504576385, -0.36942614536481294, -0.051665983281851735, 0.12454350256057603] |
709.4428 | The Pluto Energetic Particle Spectrometer Science Investigation (PEPSSI)
on the New Horizons Mission | The Pluto Energetic Particle Spectrometer Science Investigation (PEPSSI)
comprises the hardware and accompanying science investigation on the New
Horizons spacecraft to measure pick-up ions from Pluto's outgassing atmosphere.
To the extent that Pluto retains its characteristics similar to those of a
"heavy comet" as detected in stellar occultations since the early 1980s, these
measurements will characterize the neutral atmosphere of Pluto while providing
a consistency check on the atmospheric escape rate at the encounter epoch with
that deduced from the atmospheric structure at lower altitudes by the ALICE,
REX, and SWAP experiments on New Horizons. In addition, PEPSSI will
characterize any extended ionosphere and solar wind interaction while also
characterizing the energetic particle environment of Pluto, Charon, and their
associated system. First proposed for development for the Pluto Express mission
in September 1993, what became the PEPSSI instrument went through a number of
development stages to meet the requirements of such an instrument for a mission
to Pluto while minimizing the required spacecraft resources. The PEPSSI
instrument provides for measurements of ions (with compositional information)
and electrons from 10s of keV to ~1 MeV in a 120 deg x 12 deg fan-shaped beam
in six sectors for 1.5 kg and ~2.5 W.
| astro-ph | the pluto energetic particle spectrometer science investigation pepssi comprises the hardware and accompanying science investigation on the new horizons spacecraft to measure pickup ions from plutos outgassing atmosphere to the extent that pluto retains its characteristics similar to those of a heavy comet as detected in stellar occultations since the early 1980s these measurements will characterize the neutral atmosphere of pluto while providing a consistency check on the atmospheric escape rate at the encounter epoch with that deduced from the atmospheric structure at lower altitudes by the alice rex and swap experiments on new horizons in addition pepssi will characterize any extended ionosphere and solar wind interaction while also characterizing the energetic particle environment of pluto charon and their associated system first proposed for development for the pluto express mission in september 1993 what became the pepssi instrument went through a number of development stages to meet the requirements of such an instrument for a mission to pluto while minimizing the required spacecraft resources the pepssi instrument provides for measurements of ions with compositional information and electrons from 10s of kev to 1 mev in a 120 deg x 12 deg fanshaped beam in six sectors for 15 kg and 25 w | [['the', 'pluto', 'energetic', 'particle', 'spectrometer', 'science', 'investigation', 'pepssi', 'comprises', 'the', 'hardware', 'and', 'accompanying', 'science', 'investigation', 'on', 'the', 'new', 'horizons', 'spacecraft', 'to', 'measure', 'pickup', 'ions', 'from', 'plutos', 'outgassing', 'atmosphere', 'to', 'the', 'extent', 'that', 'pluto', 'retains', 'its', 'characteristics', 'similar', 'to', 'those', 'of', 'a', 'heavy', 'comet', 'as', 'detected', 'in', 'stellar', 'occultations', 'since', 'the', 'early', '1980s', 'these', 'measurements', 'will', 'characterize', 'the', 'neutral', 'atmosphere', 'of', 'pluto', 'while', 'providing', 'a', 'consistency', 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709.4429 | A converse approach to the calculation of NMR shielding tensors | We introduce an alternative approach to the first-principles calculation of
NMR shielding tensors. These are obtained from the derivative of the orbital
magnetization with respect to the application of a microscopic, localized
magnetic dipole. The approach is simple, general, and can be applied to either
isolated or periodic systems. Calculated results for simple hydrocarbons,
crystalline diamond, and liquid water show very good agreement with established
methods and experimental results.
| cond-mat.mtrl-sci | we introduce an alternative approach to the firstprinciples calculation of nmr shielding tensors these are obtained from the derivative of the orbital magnetization with respect to the application of a microscopic localized magnetic dipole the approach is simple general and can be applied to either isolated or periodic systems calculated results for simple hydrocarbons crystalline diamond and liquid water show very good agreement with established methods and experimental results | [['we', 'introduce', 'an', 'alternative', 'approach', 'to', 'the', 'firstprinciples', 'calculation', 'of', 'nmr', 'shielding', 'tensors', 'these', 'are', 'obtained', 'from', 'the', 'derivative', 'of', 'the', 'orbital', 'magnetization', 'with', 'respect', 'to', 'the', 'application', 'of', 'a', 'microscopic', 'localized', 'magnetic', 'dipole', 'the', 'approach', 'is', 'simple', 'general', 'and', 'can', 'be', 'applied', 'to', 'either', 'isolated', 'or', 'periodic', 'systems', 'calculated', 'results', 'for', 'simple', 'hydrocarbons', 'crystalline', 'diamond', 'and', 'liquid', 'water', 'show', 'very', 'good', 'agreement', 'with', 'established', 'methods', 'and', 'experimental', 'results']] | [-0.08417790098979637, 0.09799382852688196, -0.07065717490437184, 0.04057908178462336, -0.05197562109948932, -0.12859728308124602, 0.023619715735127313, 0.43732451204804407, -0.2299676075361777, -0.2870437179032403, 0.06004499361269932, -0.2798936267423889, -0.13250871708927056, 0.2306239133451026, 0.005013417938481207, 0.0503346665451924, 0.05745299210420985, 0.015292478570093712, -0.10841251350939274, -0.1925986278228516, 0.24523681162289626, 0.03291763153359078, 0.2703336010403607, 0.09553621583145813, 0.06507939325672561, -0.03470662206519341, 0.03513817682835287, 0.07911997489577187, -0.16234212872180817, 0.1717142406716079, 0.2616434523538835, -0.029784117649862732, 0.12778958249027314, -0.49549539973014506, -0.18589383371147342, 0.029204724478008953, 0.08039574974985875, 0.18906716749652464, -0.08239057312544057, -0.27504738984440547, 0.09214686393818777, -0.1706623641261156, -0.18622903249469464, -0.19476158493130968, -0.054019047851687756, 0.028220132141343682, -0.2971999893450867, 0.08600887108216251, 0.03882787509929335, 0.09118508161518021, -0.1577609891908756, -0.1564756883426394, -0.01179891683674161, 0.05251789116975514, 0.050154864955296995, 0.058195499278119074, 0.17800961503678042, -0.05313395361915447, -0.14114986281788003, 0.3992174180170548, -0.08325523976236582, -0.1617695636021486, 0.23307618579786757, -0.12617128870139518, -0.10081855088904285, 0.15847704588381073, 0.09623169330407635, 0.1380088580367358, -0.15136117008565317, 0.022938661922639964, -0.023760830064429025, 0.15696538638903934, 0.03770086634229275, 0.014018831345943592, 0.21684772822587495, 0.15955741926217856, 0.01506393477725594, 0.13350369869495163, -0.09320130485339441, -0.07433871894170517, -0.2450515516338519, -0.14253550888025673, -0.2360343403061447, 0.03722847923568949, -0.08410067932509001, -0.17900868293329858, 0.35871432695969724, 0.10436466064277118, 0.1315245474823683, 0.01619220042830684, 0.28940576562603965, 0.1040546162377881, 0.046058708153989006, 0.011826681411838617, 0.24635616188153517, 0.18145890613221496, 0.06901687897903763, -0.2638539666262712, 0.05266125199209521, 0.017095948663958603] |
709.443 | Fast-ion conduction and flexibility of glassy networks | We observe two thresholds in the variations of electrical conductivity of dry
solid electrolyte (AgI)x(AgPO3)1-x glasses, when the AgI additive concentration
x increases to 9.5% and to 37.8%. Raman scattering complemented by calorimetric
measurements confirm that these thresholds are signatures of the rigidity phase
transitions; at x = 9.5% from a stressed rigid to an isostatically (stress
free) rigid phase, and at x = 37.8% from isostatically rigid to a flexible
phase. In the flexible phase, the electrical conductivity seems to increase as
a power of x, this is in good agreement with the theoretical prediction based
on 3d percolation.
| cond-mat.soft | we observe two thresholds in the variations of electrical conductivity of dry solid electrolyte agixagpo31x glasses when the agi additive concentration x increases to 95 and to 378 raman scattering complemented by calorimetric measurements confirm that these thresholds are signatures of the rigidity phase transitions at x 95 from a stressed rigid to an isostatically stress free rigid phase and at x 378 from isostatically rigid to a flexible phase in the flexible phase the electrical conductivity seems to increase as a power of x this is in good agreement with the theoretical prediction based on 3d percolation | [['we', 'observe', 'two', 'thresholds', 'in', 'the', 'variations', 'of', 'electrical', 'conductivity', 'of', 'dry', 'solid', 'electrolyte', 'agixagpo31x', 'glasses', 'when', 'the', 'agi', 'additive', 'concentration', 'x', 'increases', 'to', '95', 'and', 'to', '378', 'raman', 'scattering', 'complemented', 'by', 'calorimetric', 'measurements', 'confirm', 'that', 'these', 'thresholds', 'are', 'signatures', 'of', 'the', 'rigidity', 'phase', 'transitions', 'at', 'x', '95', 'from', 'a', 'stressed', 'rigid', 'to', 'an', 'isostatically', 'stress', 'free', 'rigid', 'phase', 'and', 'at', 'x', '378', 'from', 'isostatically', 'rigid', 'to', 'a', 'flexible', 'phase', 'in', 'the', 'flexible', 'phase', 'the', 'electrical', 'conductivity', 'seems', 'to', 'increase', 'as', 'a', 'power', 'of', 'x', 'this', 'is', 'in', 'good', 'agreement', 'with', 'the', 'theoretical', 'prediction', 'based', 'on', '3d', 'percolation']] | [-0.1052808689107139, 0.20445456909458032, -0.05571847067925042, -0.04252438408505056, 0.006301344674771901, -0.15282575134668, 0.13176176641328433, 0.4220290503551051, -0.24647625922657473, -0.2556038040706177, 0.07415328744784497, -0.3329329023272106, -0.11473106627938212, 0.1614448797418592, -0.068150098627606, 0.06603325535687282, -0.012391623966491868, 0.006695370103434189, -0.09416168057071717, -0.16581000943581775, 0.19853798467089834, 0.05007154942422952, 0.3172498477296424, 0.08562768346716448, 0.08040923273824539, -1.1943592737937711e-05, 0.05779001031301378, 0.05601368289556086, -0.17688129497873512, 0.07706548497272828, 0.296309087847926, -0.07321150716605414, 0.1322100186701288, -0.4294065100323294, -0.22453311405423068, 0.058995646491800384, 0.05803782580727615, 0.06161452352174932, -0.04179654758394763, -0.22161326140703, 0.0834101305352812, -0.12600104635600576, -0.1065236862374412, -0.06458310298525642, 0.05207892387538918, -0.003164839402762885, -0.26804608202625796, 0.12481024324625116, 0.018176633137345466, 0.08852744547016535, -0.1011336885690305, -0.13096230518380084, -0.07847679345916535, 0.07215431219683335, 0.022210446409593076, 0.07068752788232889, 0.20861473682902984, -0.11568065785404448, -0.046413227666131, 0.37055997308535676, -0.05713495015425934, -0.12085723556270919, 0.21358729882367417, -0.18628984397354045, -0.12002505826404962, 0.2424614931908004, 0.14011232159340503, 0.06635306471689921, -0.13339711659778145, 0.017555793971735408, 0.023433975385713207, 0.22228681544782883, 0.0604164290347511, -0.03268962765429661, 0.22161622739099351, 0.20587482495286225, 0.01325561448970099, 0.14011424469771153, -0.11330642805377156, -0.023859615168851062, -0.26283358036511645, -0.15097767442042373, -0.1590601187403381, 0.08891207672302737, -0.10948654337151255, -0.1701164612181715, 0.3142004400376499, 0.11345668334859549, 0.22527148202061653, 0.03779347921654429, 0.25707897163697124, 0.04179742207184203, -0.010225039537151143, 0.006855566841886216, 0.289412213662236, 0.1774012295639661, 0.10155820418821321, -0.20542209163384953, 0.057077360668306036, 0.0033212756958895737] |
709.4431 | On the rate of convergence of periodic solutions in perturbed autonomous
systems as the perturbation vanishes | We consider an autonomous system in R^n having a limit cycle x_0 of period
T>0 which is nondegenerate in a suitable sense. We then consider the perturbed
system obtained by adding to the autonomous system a T-periodic, not
necessarily differentiable, term whose amplitude tends to 0 as a small
parameter e>0 tends to 0. Assuming the existence of a T-periodic solution x_e
of the perturbed system and its convergence to x_0 as e->0, the paper
establishes the existence of d_e->0 as e->0 such that \|x_e(t+d_e)-x_0(t)\|<=eM
for some M>0 and any e>0 sufficiently small.
| math.CA | we consider an autonomous system in rn having a limit cycle x_0 of period t0 which is nondegenerate in a suitable sense we then consider the perturbed system obtained by adding to the autonomous system a tperiodic not necessarily differentiable term whose amplitude tends to 0 as a small parameter e0 tends to 0 assuming the existence of a tperiodic solution x_e of the perturbed system and its convergence to x_0 as e0 the paper establishes the existence of d_e0 as e0 such that x_etd_ex_0tem for some m0 and any e0 sufficiently small | [['we', 'consider', 'an', 'autonomous', 'system', 'in', 'rn', 'having', 'a', 'limit', 'cycle', 'x_0', 'of', 'period', 't0', 'which', 'is', 'nondegenerate', 'in', 'a', 'suitable', 'sense', 'we', 'then', 'consider', 'the', 'perturbed', 'system', 'obtained', 'by', 'adding', 'to', 'the', 'autonomous', 'system', 'a', 'tperiodic', 'not', 'necessarily', 'differentiable', 'term', 'whose', 'amplitude', 'tends', 'to', '0', 'as', 'a', 'small', 'parameter', 'e0', 'tends', 'to', '0', 'assuming', 'the', 'existence', 'of', 'a', 'tperiodic', 'solution', 'x_e', 'of', 'the', 'perturbed', 'system', 'and', 'its', 'convergence', 'to', 'x_0', 'as', 'e0', 'the', 'paper', 'establishes', 'the', 'existence', 'of', 'd_e0', 'as', 'e0', 'such', 'that', 'x_etd_ex_0tem', 'for', 'some', 'm0', 'and', 'any', 'e0', 'sufficiently', 'small']] | [-0.2667760412710217, 0.10094479226477183, -0.03440808220305941, -0.0013051119026635865, -0.004871829059793727, -0.18167220677279836, 0.03005971952218685, 0.28762331236522276, -0.2963277633086993, -0.19175103182935124, 0.15617404549873873, -0.27540856773919004, -0.11601629083628183, 0.1448074968961569, -0.07305167445524054, 0.061666767813321616, 0.07733209767880347, 0.1427439741155767, -0.05797360460964738, -0.166741513775068, 0.3626784175061263, -0.032615679367394235, 0.12497499528095372, -0.022215441104720582, 0.14346622409565107, -0.013977075138917336, 0.1266346345614043, 0.0058994787632600295, -0.17567320651373797, 0.0026816101233055304, 0.2331322357058525, 0.07790361690222398, 0.3255057068807738, -0.32614103421200435, -0.160718123541101, 0.211068253810671, 0.18211832077109388, 0.06828894688118413, 0.005256579396990384, -0.29100692421607266, 0.16757610528781028, -0.1459611985054645, -0.28078009515161534, -0.06669404205180458, 0.08923989667168276, 0.07069475624638681, -0.3459449419495905, 0.046450769989290736, 0.148270735803705, -0.00040719946744022787, -0.14252553013496225, -0.08741990457913214, -0.06824833956025131, 0.1409021065734163, 0.06928048953465135, 0.1078509442421229, 0.06687317409419588, -0.07349329598882533, -0.007973043755935197, 0.352443512570072, -0.15141213533806278, -0.204335633102436, 0.16008113693077486, -0.17766881942401055, -0.1137344179736389, 0.12493659291866717, 0.11435487273834892, 0.14721883518191484, -0.1074606541871697, 0.17926654207218273, -0.0073750891446412266, 0.16678307557499017, 0.0865090948908211, 0.013150925231217355, 0.14350582024717068, 0.13912401037229286, 0.19599812454032292, 0.09440325913889396, -0.04897699705683268, -0.03564111434005119, -0.38064707136088677, -0.0899786393818251, -0.22131826581464117, 0.1608073291508545, -0.08438076737437879, -0.2157181645385348, 0.3132416775839014, 0.09414096270779987, 0.2598620227405003, 0.09086439867150857, 0.24062532375842988, 0.18316829449799077, -0.034797915246479655, 0.09098334682614102, 0.1930346560864684, 0.11802143237686583, 0.12130208814946505, -0.19573232908170302, 0.018978843690602334, 0.07089582813269162] |
709.4432 | On the maximal number of three-term arithmetic progressions in subsets
of Z/pZ | Let a be a real number between 0 and 1. Ernie Croot showed that the quantity
\max_A #(3-term arithmetic progressions in A)/p^2, where A ranges over all
subsets of Z/pZ of size at most a*p, tends to a limit as p tends to infinity
through primes. Writing c(a) for this limit, we show that c(a) = a^2/2 provided
that a is smaller than some absolute constant. In fact we prove rather more,
establishing a structure theorem for sets having the maximal number of 3-term
progressions amongst all subsets of Z/pZ of cardinality m, provided that m <
c*p.
| math.NT math.CO | let a be a real number between 0 and 1 ernie croot showed that the quantity max_a 3term arithmetic progressions in ap2 where a ranges over all subsets of zpz of size at most ap tends to a limit as p tends to infinity through primes writing ca for this limit we show that ca a22 provided that a is smaller than some absolute constant in fact we prove rather more establishing a structure theorem for sets having the maximal number of 3term progressions amongst all subsets of zpz of cardinality m provided that m cp | [['let', 'a', 'be', 'a', 'real', 'number', 'between', '0', 'and', '1', 'ernie', 'croot', 'showed', 'that', 'the', 'quantity', 'max_a', '3term', 'arithmetic', 'progressions', 'in', 'ap2', 'where', 'a', 'ranges', 'over', 'all', 'subsets', 'of', 'zpz', 'of', 'size', 'at', 'most', 'ap', 'tends', 'to', 'a', 'limit', 'as', 'p', 'tends', 'to', 'infinity', 'through', 'primes', 'writing', 'ca', 'for', 'this', 'limit', 'we', 'show', 'that', 'ca', 'a22', 'provided', 'that', 'a', 'is', 'smaller', 'than', 'some', 'absolute', 'constant', 'in', 'fact', 'we', 'prove', 'rather', 'more', 'establishing', 'a', 'structure', 'theorem', 'for', 'sets', 'having', 'the', 'maximal', 'number', 'of', '3term', 'progressions', 'amongst', 'all', 'subsets', 'of', 'zpz', 'of', 'cardinality', 'm', 'provided', 'that', 'm', 'cp']] | [-0.20698298025067505, 0.13142840390240676, -0.0779032550605112, 0.05008802388451601, -0.03215354857966304, -0.1435587338907154, 0.11553516477150352, 0.2890962449882768, -0.2659117352964945, -0.25484414266814526, 0.04960851150956985, -0.3161325705923924, -0.06225697942274182, 0.22252510971830863, -0.09614574589619511, -0.03033239426164839, 0.034309302661322844, 0.09339488348188368, -0.01249948430585822, -0.299055080118246, 0.27423454392456303, -0.07520919651969483, 0.176001119069559, 0.010086917213323575, 0.04675869651837274, -0.006643592958387575, 0.02264274596726816, 0.04735295452103999, -0.15132917831559958, 0.08697220154694821, 0.2878691203647146, 0.14701905016738334, 0.3388025973800962, -0.34547518179997017, -0.13740614503622056, 0.23590452223280936, 0.1796209183080416, -0.007428478439779658, 0.026548334225050273, -0.1833790886240374, 0.22043966366664358, -0.10029249602536622, -0.13462720705980533, -0.03603883960137242, 0.1513803610259569, 0.03884648715979175, -0.31060395310203986, -0.025186211855984048, 0.09918130446029337, 0.14538375189723937, 0.0050660911555352964, -0.22220404495142007, 0.0015497048728560147, 0.0708109913736974, 0.05940703568048775, 0.06255913175838558, 0.00965532483042855, -0.05101112166272574, -0.05633770953863859, 0.3609270746770658, -0.07168015214188735, -0.18472055126177636, 0.1135678822909923, -0.21806589126782983, -0.14620835826438117, 0.10912413139288363, 0.06228510802121539, 0.12336896716764098, -0.0019750406604113154, 0.15554931566155958, -0.14721926534670945, 0.21703112821682896, 0.19037357825589807, 0.06367437805441258, 0.11740398669713421, 0.0816779468992823, 0.12315654903650283, 0.0812799758755749, -0.029440767352322216, 0.027215318666084818, -0.35501296049670167, -0.15834001038517606, -0.1918391086332696, 0.16028538700193168, -0.14765151110707514, -0.1852343105171856, 0.29482904617723665, 0.09579646327091675, 0.22022744804914846, 0.16064598949528056, 0.20697293614870624, 0.04717779986829938, 0.05273227907570177, 0.12255475875480394, 0.08135830789075331, 0.16008947268128396, -0.003213378053011471, -0.135906141099373, 0.027927605584753972, 0.12969570057466626] |
709.4433 | Isolated Leptons and Missing P_{T} at HERA | The search for events containing isolated leptons (electrons or muons) and
missing transverse momentum produced in e^{\pm}p collisions is performed
individually and in a common phase space with the H1 and ZEUS detectors at HERA
in the period 1994--2007. The analysed H1+ZEUS data sample corresponds to an
integrated luminosity of 0.97 fb^{-1}, and composes of the complete high energy
data from the HERA programme. A total of 87 events are observed in the data,
compared to a Standard Model (SM) prediction of 92.7 \pm 11.2. At large
hadronic transverse momentum P_{T}^{X} > 25 GeV in the e^{+}p data, luminosity
0.58 fb^{-1}, 23 data events are observed compared to a SM prediction of 14.6
\pm 1.9. Production cross section measurements of events containing isolated
leptons and missing transverse momentum and single W production, as well as W
polarisation fractions performed by the H1 Collaboration are also presented.
The H1 isolated lepton events are also examined in the context of a search for
single top production.
| hep-ex | the search for events containing isolated leptons electrons or muons and missing transverse momentum produced in epmp collisions is performed individually and in a common phase space with the h1 and zeus detectors at hera in the period 19942007 the analysed h1zeus data sample corresponds to an integrated luminosity of 097 fb1 and composes of the complete high energy data from the hera programme a total of 87 events are observed in the data compared to a standard model sm prediction of 927 pm 112 at large hadronic transverse momentum p_tx 25 gev in the ep data luminosity 058 fb1 23 data events are observed compared to a sm prediction of 146 pm 19 production cross section measurements of events containing isolated leptons and missing transverse momentum and single w production as well as w polarisation fractions performed by the h1 collaboration are also presented the h1 isolated lepton events are also examined in the context of a search for single top production | [['the', 'search', 'for', 'events', 'containing', 'isolated', 'leptons', 'electrons', 'or', 'muons', 'and', 'missing', 'transverse', 'momentum', 'produced', 'in', 'epmp', 'collisions', 'is', 'performed', 'individually', 'and', 'in', 'a', 'common', 'phase', 'space', 'with', 'the', 'h1', 'and', 'zeus', 'detectors', 'at', 'hera', 'in', 'the', 'period', '19942007', 'the', 'analysed', 'h1zeus', 'data', 'sample', 'corresponds', 'to', 'an', 'integrated', 'luminosity', 'of', '097', 'fb1', 'and', 'composes', 'of', 'the', 'complete', 'high', 'energy', 'data', 'from', 'the', 'hera', 'programme', 'a', 'total', 'of', '87', 'events', 'are', 'observed', 'in', 'the', 'data', 'compared', 'to', 'a', 'standard', 'model', 'sm', 'prediction', 'of', '927', 'pm', '112', 'at', 'large', 'hadronic', 'transverse', 'momentum', 'p_tx', '25', 'gev', 'in', 'the', 'ep', 'data', 'luminosity', '058', 'fb1', '23', 'data', 'events', 'are', 'observed', 'compared', 'to', 'a', 'sm', 'prediction', 'of', '146', 'pm', '19', 'production', 'cross', 'section', 'measurements', 'of', 'events', 'containing', 'isolated', 'leptons', 'and', 'missing', 'transverse', 'momentum', 'and', 'single', 'w', 'production', 'as', 'well', 'as', 'w', 'polarisation', 'fractions', 'performed', 'by', 'the', 'h1', 'collaboration', 'are', 'also', 'presented', 'the', 'h1', 'isolated', 'lepton', 'events', 'are', 'also', 'examined', 'in', 'the', 'context', 'of', 'a', 'search', 'for', 'single', 'top', 'production']] | [-0.06297764413207313, 0.18448254994362767, -0.04068257946926712, 0.1563895990342856, 0.0025270795449614525, -0.06740508444087318, 0.014051930760347678, 0.3507953643158901, -0.16043525378996837, -0.39082047760349475, 0.009631386896641067, -0.4359070447679221, 0.14536964848631867, 0.15592177065683563, 0.0881059903571485, 0.10536868446020901, 0.1524054243692134, -0.002664789291772923, -0.05810425972688852, -0.234495625482655, 0.21258998464398726, 0.08771973138709376, 0.2591092782037938, 0.00798703118425971, 0.10980919862674561, 0.045267597610770836, -0.10565315753037961, -0.06324275639611639, -0.09395181134548838, 0.04248967482954795, 0.2670480958157522, 0.07541971079622356, 0.12426626274899288, -0.3312420000954145, -0.04724372320299957, 0.1244141741718617, 0.13423575016961325, 0.003008122855877401, -0.06901343469579413, -0.2946516666104274, 0.1100917282611406, -0.20568180566173663, -0.10891471522505984, 0.027814708895798474, 0.0433250917607427, -0.03828551065165298, -0.3150905302698593, 0.1547280130875754, -0.07382476316126452, 0.0823048510363017, -0.03561651061768958, -0.18764803114638556, -0.13723713129136048, -0.03235455224878995, 0.061628169023740374, 0.12851014857800347, 0.15678673327194836, -0.11690871133911852, -0.21513455250997532, 0.3422236983761466, -0.06535365706183976, -0.12950170723767093, 0.16208151077238866, -0.23285117559992005, -0.11020262854475887, 0.21925279550665727, 0.2847449469374367, 0.05341334067152219, -0.2285593061942173, 0.0549774447811676, 0.008470083105140738, 0.19176927502581312, 0.06142573845944156, 0.048876517218040545, 0.18430903251425712, 0.23878118721482577, -0.06112638110026397, 0.037144374024505766, -0.2022872331546494, -0.01707221775035734, -0.4043118929500446, -0.10879024152181174, -0.08424107352145976, 0.0786700577930793, -0.044761332322770526, -0.044530569741422416, 0.33855727278096087, 0.057401947712488584, 0.3395423362734356, -0.030161850460079367, 0.290394533598407, 0.05102408333592962, 0.0922447918208803, 0.07235273284633341, 0.3125191943782833, 0.12866837277071425, 0.17984957176266364, -0.15051655180072354, 0.0016115862494791668, -0.024735842534323777] |
709.4434 | Stout Smearing for Twisted Mass Fermions | The effect of Stout smearing is investigated in numerical simulations with
twisted mass Wilson quarks. The phase transition near zero quark mass is
studied on 12^3x24, 16^3x32 and 24^3x48 lattices at lattice spacings a = 0.1 -
0.125 fm.
| hep-lat | the effect of stout smearing is investigated in numerical simulations with twisted mass wilson quarks the phase transition near zero quark mass is studied on 123x24 163x32 and 243x48 lattices at lattice spacings a 01 0125 fm | [['the', 'effect', 'of', 'stout', 'smearing', 'is', 'investigated', 'in', 'numerical', 'simulations', 'with', 'twisted', 'mass', 'wilson', 'quarks', 'the', 'phase', 'transition', 'near', 'zero', 'quark', 'mass', 'is', 'studied', 'on', '123x24', '163x32', 'and', '243x48', 'lattices', 'at', 'lattice', 'spacings', 'a', '01', '0125', 'fm']] | [-0.1447925060685422, 0.36831475401649605, -0.051973111990436506, 0.07926147474554947, 0.03987839027635149, -0.11615412078822988, 0.13839838224324724, 0.46646444439082535, -0.10190810293361947, -0.21663230952706086, 0.09220437477405712, -0.32546932250261307, 0.03071003223492487, 0.04622947597228041, 0.052085582292764575, 0.08280464732465712, 0.06099859952951807, -0.03787432667623098, -0.2343083847364461, -0.23068447546983087, 0.29886691775676366, 0.012022079050389899, 0.24966662377119064, 0.21601699796077367, 0.011634821147733444, -0.03776305352614538, 0.014688913383193919, -0.07538963026190931, -0.20562939212430972, -0.09722332583230643, 0.0586057539598236, -0.22323905130395214, 0.11320614833007189, -0.24155745020992048, -0.19615982419408456, 0.016465720462587638, 0.13679846417712602, 0.047628553584218025, -0.02480663640135144, -0.24489112744560917, 0.08353017746294672, -0.1716550731074971, -0.214923575822566, -0.056977976742829825, -0.023391064284746913, -0.09447126231483512, -0.3707091369842355, 0.10840670721655762, -0.09312471314459234, 0.17838484898360596, 0.04792054755160132, -0.2524341807977573, -0.12750592773679542, 0.04624777686517887, 0.03390494234406868, 0.1318556008155684, 0.10964192253713673, -0.07852544434167244, -0.11997840123729327, 0.4499714739771711, -0.050087998545653115, -0.15492258311526194, 0.11576699031315543, -0.23724065227685748, -0.09254497797480105, 0.14685764977754867, 0.17091046738347063, 0.07867756849658247, -0.09494155116781995, 0.07801836441944328, -0.08628138335975441, 0.2108657897223492, 0.15434606914484017, -0.031091267117173284, 0.29081927614940983, 0.2070294491116058, -0.02860508063757742, 0.06635365448892117, -0.07913930485704662, -0.16800093157468615, -0.211137918780583, 0.025195670012082602, -0.19670410937554128, 0.10078105988685747, -0.16135916485084612, -0.17252625519963535, 0.3043745084590203, 0.13219156422073375, 0.1811174897200151, 0.0038594022091176057, 0.2274607228291397, 0.08562285349880522, 0.11294362599634238, 0.040659202693810535, 0.19791362192985174, 0.2448963820430878, 0.1395344134747378, -0.33655997166863166, -0.19360308748090993, 0.18587933032697923] |
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