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710.1853 | Engineering many-body quantum dynamics by disorder | Going beyond the currently investigated regimes in experiments on quantum
transport of ultracold atoms in disordered potentials, we predict a crossover
between regular and quantum-chaotic dynamics when varying the strength of
disorder. Our spectral approach is based on the Bose-Hubbard model describing
interacting atoms in deep random potentials. The predicted crossover from
localized to diffusive dynamics depends on the simultaneous presence of
interactions and disorder, and can be verified in the laboratory by monitoring
the evolution of typical experimental initial states.
| cond-mat.dis-nn cond-mat.stat-mech | going beyond the currently investigated regimes in experiments on quantum transport of ultracold atoms in disordered potentials we predict a crossover between regular and quantumchaotic dynamics when varying the strength of disorder our spectral approach is based on the bosehubbard model describing interacting atoms in deep random potentials the predicted crossover from localized to diffusive dynamics depends on the simultaneous presence of interactions and disorder and can be verified in the laboratory by monitoring the evolution of typical experimental initial states | [['going', 'beyond', 'the', 'currently', 'investigated', 'regimes', 'in', 'experiments', 'on', 'quantum', 'transport', 'of', 'ultracold', 'atoms', 'in', 'disordered', 'potentials', 'we', 'predict', 'a', 'crossover', 'between', 'regular', 'and', 'quantumchaotic', 'dynamics', 'when', 'varying', 'the', 'strength', 'of', 'disorder', 'our', 'spectral', 'approach', 'is', 'based', 'on', 'the', 'bosehubbard', 'model', 'describing', 'interacting', 'atoms', 'in', 'deep', 'random', 'potentials', 'the', 'predicted', 'crossover', 'from', 'localized', 'to', 'diffusive', 'dynamics', 'depends', 'on', 'the', 'simultaneous', 'presence', 'of', 'interactions', 'and', 'disorder', 'and', 'can', 'be', 'verified', 'in', 'the', 'laboratory', 'by', 'monitoring', 'the', 'evolution', 'of', 'typical', 'experimental', 'initial', 'states']] | [-0.11356917156458453, 0.2336665140234946, -0.061147490807343274, 0.05001976833259112, 0.06769725449245285, -0.19184981697572417, 0.05351679327460811, 0.35552285416166723, -0.24478035859395691, -0.24200446789877283, 0.006794046742818606, -0.31342908710149336, -0.14198151340616155, 0.17237007585469127, 0.07115117670899188, 0.051178486833785786, 0.041948011581912456, -0.00939649133655576, -0.062160369376709435, -0.2032326361808328, 0.31530307036721045, 0.04143804773497165, 0.3164613241628732, 0.09993661211711573, 0.030815281232612, 0.032190406068377656, 0.05641051668121859, 0.009829109695590572, -0.11959726745147764, 0.05925547906102751, 0.189389232672567, -0.01915466458318226, 0.2113768734773736, -0.4951869331438232, -0.2722194497071115, 0.04904334793833119, 0.17854203752825543, 0.16048100628073753, -0.03789323838398918, -0.3719489897750778, -0.040527731801072754, -0.12485781661809686, -0.13395775640153407, -0.07873615767392847, 0.030916020518490746, 0.08699293743910981, -0.28244449489140583, 0.11210910767535276, 0.006978955866846566, 0.11202300793921034, -0.10416377603685782, -0.016120108576020066, 0.005268725167017108, 0.11186826393693788, -0.021581988275068364, -0.027077559272494212, 0.17333916633930288, -0.1676099416512398, -0.08872728947877746, 0.3798524223262283, -0.11728928948143198, -0.1451885675850474, 0.2692610450163714, -0.16919149724582647, -0.0821863605617833, 0.1068378248953341, 0.18646113679134918, 0.10580392983845538, -0.12603987154948243, 0.1014334298073843, -0.013072663837652883, 0.16087801485857064, 0.003659564665415221, 0.03243269509187451, 0.2164061519742748, 0.23897926685009382, -0.021603251991356598, 0.148874898842122, -0.09777966617997506, -0.20771301530278574, -0.24190093894247655, -0.05504928236068399, -0.25414730994789686, 0.0511447136738786, -0.07139167439621545, -0.15771890179840503, 0.43133659469952557, 0.20382885519346153, 0.18752978089047068, -0.01849785356575416, 0.2167130828904057, 0.10295546850057342, 0.012850585255633902, 0.015052299569993292, 0.28495314967370144, 0.1285127672614001, 0.060983637629513754, -0.29411539065444636, 0.06876427013381028, 0.027310410695564415] |
710.1854 | Area distances of Convex Plane Curves and Improper Affine Spheres | The area distance to a convex plane curve is an important concept in computer
vision. In this paper we describe a strong link between area distances and
improper affine spheres. This link makes possible a better understanding of
both theories. The concepts of the theory of affine spheres lead to a new
definition of an area distance on the outer part of a convex plane arc. Also,
based on the theory of discrete affine spheres, we propose fast algorithms to
compute the area distances. On the other hand, area distances provide a good
geometrical understanding of improper affine spheres.
| math.DG | the area distance to a convex plane curve is an important concept in computer vision in this paper we describe a strong link between area distances and improper affine spheres this link makes possible a better understanding of both theories the concepts of the theory of affine spheres lead to a new definition of an area distance on the outer part of a convex plane arc also based on the theory of discrete affine spheres we propose fast algorithms to compute the area distances on the other hand area distances provide a good geometrical understanding of improper affine spheres | [['the', 'area', 'distance', 'to', 'a', 'convex', 'plane', 'curve', 'is', 'an', 'important', 'concept', 'in', 'computer', 'vision', 'in', 'this', 'paper', 'we', 'describe', 'a', 'strong', 'link', 'between', 'area', 'distances', 'and', 'improper', 'affine', 'spheres', 'this', 'link', 'makes', 'possible', 'a', 'better', 'understanding', 'of', 'both', 'theories', 'the', 'concepts', 'of', 'the', 'theory', 'of', 'affine', 'spheres', 'lead', 'to', 'a', 'new', 'definition', 'of', 'an', 'area', 'distance', 'on', 'the', 'outer', 'part', 'of', 'a', 'convex', 'plane', 'arc', 'also', 'based', 'on', 'the', 'theory', 'of', 'discrete', 'affine', 'spheres', 'we', 'propose', 'fast', 'algorithms', 'to', 'compute', 'the', 'area', 'distances', 'on', 'the', 'other', 'hand', 'area', 'distances', 'provide', 'a', 'good', 'geometrical', 'understanding', 'of', 'improper', 'affine', 'spheres']] | [-0.1743188619312614, 0.01869316710743611, -0.12366357420317152, 0.06983454681043937, -0.1201867653113423, -0.11798734676017604, 0.06349543303679299, 0.39588912647932467, -0.30050550695659234, -0.2571353018283844, 0.08336547873867205, -0.24333517096297005, -0.2086868200056029, 0.22812107401062745, -0.16732672523387304, 0.017155608542103584, 0.02074293005797598, 0.0539357277798123, -0.12717981193499225, -0.230687109572399, 0.30238703391843974, 0.043662537359679586, 0.28044165914050406, 0.08973182180444851, 0.11866923490294604, 0.043549124701795255, -0.04294681573531242, 0.0929212293051409, -0.19113923441806827, 0.2450489236907375, 0.26217195271241545, 0.10199454111150569, 0.2368267502710976, -0.40134455991739576, -0.20126204922644778, 0.11121932600596637, 0.09961142317589486, 0.03298034683584866, -0.02805562950364982, -0.22217766303719597, 0.004610861515193575, -0.12074358946634363, -0.1824055921211086, -0.0006394524919809868, 0.05465994037763037, 0.004319021787560272, -0.16497905673741392, 0.017634544478943383, 0.09269628547734082, 0.09520190532761391, -0.03547194078705753, -0.08659359756292719, 0.06588141934362927, 0.13661048341674184, 0.011336923706241779, 0.1062351793586982, 0.13197111807801207, -0.10545070495249496, -0.12971637548521311, 0.3803347172685946, 0.02476975361280369, -0.21988480877968472, 0.2189039079627643, -0.09085179789161141, -0.10348600588475514, 0.12569759941349426, 0.23760640077443437, 0.12664873215059438, -0.14286541399743521, 0.12023734569377878, -0.050143529124783745, 0.1348422827819983, 0.05177422082098671, 0.024885450386338763, 0.25911062105436516, 0.13653751315003393, 0.14799049523931862, 0.166952956158014, -0.11906974169900734, -0.13910966505816283, -0.3232633586822435, -0.20144096945384235, -0.16297227053931265, 0.030619816268991792, -0.13419723512138584, -0.21274049104087883, 0.33178362961049485, 0.053778934988635355, 0.21346406987633068, 0.09654442420361017, 0.30374464079399, 0.010542389960263413, 0.056349316837661194, 0.038502382222713544, 0.24567290914075618, 0.14360698951276565, 0.02176983319599219, -0.15869437898932534, 0.0051019313660534945, 0.13674390626920743] |
710.1855 | Divergent estimation error in portfolio optimization and in linear
regression | The problem of estimation error in portfolio optimization is discussed, in
the limit where the portfolio size N and the sample size T go to infinity such
that their ratio is fixed. The estimation error strongly depends on the ratio
N/T and diverges for a critical value of this parameter. This divergence is the
manifestation of an algorithmic phase transition, it is accompanied by a number
of critical phenomena, and displays universality. As the structure of a large
number of multidimensional regression and modelling problems is very similar to
portfolio optimization, the scope of the above observations extends far beyond
finance, and covers a large number of problems in operations research, machine
learning, bioinformatics, medical science, economics, and technology.
| q-fin.PM physics.soc-ph | the problem of estimation error in portfolio optimization is discussed in the limit where the portfolio size n and the sample size t go to infinity such that their ratio is fixed the estimation error strongly depends on the ratio nt and diverges for a critical value of this parameter this divergence is the manifestation of an algorithmic phase transition it is accompanied by a number of critical phenomena and displays universality as the structure of a large number of multidimensional regression and modelling problems is very similar to portfolio optimization the scope of the above observations extends far beyond finance and covers a large number of problems in operations research machine learning bioinformatics medical science economics and technology | [['the', 'problem', 'of', 'estimation', 'error', 'in', 'portfolio', 'optimization', 'is', 'discussed', 'in', 'the', 'limit', 'where', 'the', 'portfolio', 'size', 'n', 'and', 'the', 'sample', 'size', 't', 'go', 'to', 'infinity', 'such', 'that', 'their', 'ratio', 'is', 'fixed', 'the', 'estimation', 'error', 'strongly', 'depends', 'on', 'the', 'ratio', 'nt', 'and', 'diverges', 'for', 'a', 'critical', 'value', 'of', 'this', 'parameter', 'this', 'divergence', 'is', 'the', 'manifestation', 'of', 'an', 'algorithmic', 'phase', 'transition', 'it', 'is', 'accompanied', 'by', 'a', 'number', 'of', 'critical', 'phenomena', 'and', 'displays', 'universality', 'as', 'the', 'structure', 'of', 'a', 'large', 'number', 'of', 'multidimensional', 'regression', 'and', 'modelling', 'problems', 'is', 'very', 'similar', 'to', 'portfolio', 'optimization', 'the', 'scope', 'of', 'the', 'above', 'observations', 'extends', 'far', 'beyond', 'finance', 'and', 'covers', 'a', 'large', 'number', 'of', 'problems', 'in', 'operations', 'research', 'machine', 'learning', 'bioinformatics', 'medical', 'science', 'economics', 'and', 'technology']] | [-0.10514356544976976, 0.09247037335878586, -0.036819380184659, 0.07294586080639083, -0.0678926687511545, -0.12208075167126015, 0.08152234339851792, 0.30722194008466575, -0.2990937255510763, -0.32604889569318846, 0.15811588645016603, -0.2925946915193516, -0.1389014615282072, 0.20410535285765885, -0.10844935468953698, 0.09709507681844178, 0.023818202856771584, 0.021467350388117947, -0.046473353191380615, -0.23034025777812203, 0.26593314077579927, 0.06770757317323894, 0.31281687431976574, 0.054839574489272944, 0.06843079439757642, 0.016136966383538575, 0.004945300734688004, 0.0497110357758503, -0.13687867434146792, 0.09068007565968271, 0.31177136871744604, 0.1842540527553055, 0.3864489306691846, -0.31572948755399755, -0.19711879302332758, 0.12701783013655296, 0.13391148441416376, 0.0660351377074458, 0.008002019466777496, -0.2038498951098686, 0.0314957295297919, -0.12012144640095908, -0.10382469164739762, -0.021948678450298912, 0.05219111024566433, 0.01795030230296259, -0.28740724988385424, 0.07032738406868543, 0.04865617330084328, 0.09719128419152077, -0.00358362531899905, -0.16701285538709715, 0.04104254188939553, 0.11694615416839219, 0.11649997483209136, 0.05077647661962429, 0.17366561791350862, -0.19914804511711376, -0.11542975324002572, 0.38012420251464646, -0.02346862935727196, -0.15414674329266204, 0.1594413258957074, -0.12531557629088394, -0.16421387091028591, 0.14020043306303123, 0.20677571036234624, 0.11080546794506181, -0.09158815492870004, 0.1356773919322207, -0.029810695503955754, 0.1735015616932211, 0.024590671093774445, 0.0031253455887634714, 0.15906114367955998, 0.25501365906817197, 0.11961021610073932, 0.14929194665443496, -0.08822312734888069, -0.13048324575099876, -0.3029090574934703, -0.12707650497949002, -0.23322544886902788, 0.03569409335345155, -0.14968239791430102, -0.20782645834813349, 0.3493008707031733, 0.1695009490539625, 0.18597181210051753, 0.06058730270533564, 0.24819040618163823, 0.13383213263846339, 0.05291876792242484, 0.07685155346754845, 0.22100683597519116, 0.12286440497694709, 0.14515025657405997, -0.2061860956243795, 0.08901126765716477, 0.014688829233979477] |
710.1856 | Impact of Dark Matter Annihilation on the High-Redshift Intergalactic
Medium | We reexamine the impact of dark matter (DM) annihilation on the intergalactic
medium, taking into account the clumping of DM particles. We find that energy
injection from the annihilation of the thermal relic DM particles may
significantly raise the gas temperature at high redshifts and leave a strong
imprint on the cosmological 21-cm signal, provided the particle mass is below
~1 TeV. Further, we find that while the energy injection from DM annihilation
could not alone complete the reionization of the Universe, it could make a
significant contribution to the electron optical depth.
| astro-ph | we reexamine the impact of dark matter dm annihilation on the intergalactic medium taking into account the clumping of dm particles we find that energy injection from the annihilation of the thermal relic dm particles may significantly raise the gas temperature at high redshifts and leave a strong imprint on the cosmological 21cm signal provided the particle mass is below 1 tev further we find that while the energy injection from dm annihilation could not alone complete the reionization of the universe it could make a significant contribution to the electron optical depth | [['we', 'reexamine', 'the', 'impact', 'of', 'dark', 'matter', 'dm', 'annihilation', 'on', 'the', 'intergalactic', 'medium', 'taking', 'into', 'account', 'the', 'clumping', 'of', 'dm', 'particles', 'we', 'find', 'that', 'energy', 'injection', 'from', 'the', 'annihilation', 'of', 'the', 'thermal', 'relic', 'dm', 'particles', 'may', 'significantly', 'raise', 'the', 'gas', 'temperature', 'at', 'high', 'redshifts', 'and', 'leave', 'a', 'strong', 'imprint', 'on', 'the', 'cosmological', '21cm', 'signal', 'provided', 'the', 'particle', 'mass', 'is', 'below', '1', 'tev', 'further', 'we', 'find', 'that', 'while', 'the', 'energy', 'injection', 'from', 'dm', 'annihilation', 'could', 'not', 'alone', 'complete', 'the', 'reionization', 'of', 'the', 'universe', 'it', 'could', 'make', 'a', 'significant', 'contribution', 'to', 'the', 'electron', 'optical', 'depth']] | [-0.09879057698004369, 0.20748914874369098, -0.11689086255907852, 0.15556685663183892, -0.10133486790882965, -0.04601143787725158, 0.012309992470608284, 0.34356269472709267, -0.22704012445624797, -0.35065574715695075, -0.008744150991000796, -0.29103243704484677, 0.06542726960634032, 0.1823443552561765, 0.10978680248222043, -0.056006376891927695, 0.02087499732802552, -0.02225075475370852, 0.0018921643996270754, -0.28200745447138226, 0.3108978870635231, 0.14434402896672166, 0.18439537668300252, 0.1563209635305709, 0.09349191281944513, -0.036425989286433307, -0.09461493077137137, -0.050074610859155655, -0.1645137621147711, -0.001840572063160199, 0.13530251105386082, 0.09289327306893244, 0.14119591467052459, -0.4398540380981661, -0.26425830886689244, 0.21738602847401653, 0.21066142294195392, 0.12960079323089813, -0.12335386618681413, -0.3239217031677003, 0.050514003577371756, -0.21034840027731594, -0.06682413286699723, 0.023742794790255126, -0.02078096600129239, -0.03689507253390426, -0.21525805808543677, 0.14533534152833846, 0.021934747370460663, -0.10147323996149084, -0.09349797718146796, -0.10616726754233241, -0.06557830764100916, 0.0014272189088245875, 0.056038067445799866, -0.026191188983859554, 0.3114454106562921, -0.21872056521956, -0.0018797226610683625, 0.42948468974841536, -0.11578927796474227, -0.03484251217976693, 0.17763340528253266, -0.20248246546434137, -0.14413305379009694, 0.2090674774465902, 0.18590922482932606, -0.04627842140654402, -0.10694408865385158, 0.11923668785358689, -0.010240699545109784, 0.2388813425511402, 0.04205687170327511, 0.05660032090901207, 0.3891257047653198, 0.13000361498204932, 0.0858097500618427, 0.024985021981661037, -0.16342987971861037, 0.03906774753203956, -0.3089409573203934, -0.1559677079460153, -0.1405498116397329, 0.10050301393760012, -0.12101215936768654, -0.08477738342418145, 0.3616429682350367, 0.20137070863062057, 0.23909865647694598, 0.012183484335940692, 0.3794469322448456, 0.10264337081800125, 0.021160014719772403, 0.08136640057488474, 0.35580523155869975, 0.1233482058210078, 0.1170034020918832, -0.24854051447798928, 0.04200464821550795, -0.03336285441232625] |
710.1857 | Concentric Characterization and Classification of Complex Network Nodes:
Theory and Application to Institutional Collaboration | Differently from theoretical scale-free networks, most of real networks
present multi-scale behavior with nodes structured in different types of
functional groups and communities. While the majority of approaches for
classification of nodes in a complex network has relied on local measurements
of the topology/connectivity around each node, valuable information about node
functionality can be obtained by Concentric (or Hierarchical) Measurements. In
this paper we explore the possibility of using a set of Concentric Measurements
and agglomerative clustering methods in order to obtain a set of functional
groups of nodes. Concentric clustering coefficient and convergence ratio are
chosen as segregation parameters for the analysis of a institutional
collaboration network including various known communities (departments of the
University of S\~ao Paulo). A dendogram is obtained and the results are
analyzed and discussed. Among the interesting obtained findings, we emphasize
the scale-free nature of the obtained network, as well as the identification of
different patterns of authorship emerging from different areas (e.g. human and
exact sciences). Another interesting result concerns the relatively uniform
distribution of hubs along the concentric levels, contrariwise to the
non-uniform pattern found in theoretical scale free networks such as the BA
model.
| physics.soc-ph physics.data-an | differently from theoretical scalefree networks most of real networks present multiscale behavior with nodes structured in different types of functional groups and communities while the majority of approaches for classification of nodes in a complex network has relied on local measurements of the topologyconnectivity around each node valuable information about node functionality can be obtained by concentric or hierarchical measurements in this paper we explore the possibility of using a set of concentric measurements and agglomerative clustering methods in order to obtain a set of functional groups of nodes concentric clustering coefficient and convergence ratio are chosen as segregation parameters for the analysis of a institutional collaboration network including various known communities departments of the university of sao paulo a dendogram is obtained and the results are analyzed and discussed among the interesting obtained findings we emphasize the scalefree nature of the obtained network as well as the identification of different patterns of authorship emerging from different areas eg human and exact sciences another interesting result concerns the relatively uniform distribution of hubs along the concentric levels contrariwise to the nonuniform pattern found in theoretical scale free networks such as the ba model | [['differently', 'from', 'theoretical', 'scalefree', 'networks', 'most', 'of', 'real', 'networks', 'present', 'multiscale', 'behavior', 'with', 'nodes', 'structured', 'in', 'different', 'types', 'of', 'functional', 'groups', 'and', 'communities', 'while', 'the', 'majority', 'of', 'approaches', 'for', 'classification', 'of', 'nodes', 'in', 'a', 'complex', 'network', 'has', 'relied', 'on', 'local', 'measurements', 'of', 'the', 'topologyconnectivity', 'around', 'each', 'node', 'valuable', 'information', 'about', 'node', 'functionality', 'can', 'be', 'obtained', 'by', 'concentric', 'or', 'hierarchical', 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'exact', 'sciences', 'another', 'interesting', 'result', 'concerns', 'the', 'relatively', 'uniform', 'distribution', 'of', 'hubs', 'along', 'the', 'concentric', 'levels', 'contrariwise', 'to', 'the', 'nonuniform', 'pattern', 'found', 'in', 'theoretical', 'scale', 'free', 'networks', 'such', 'as', 'the', 'ba', 'model']] | [-0.13563484165933914, 0.04949064068690253, -0.06466566054829552, 0.06580751794778432, -0.04672513433130613, -0.11773705103208461, 0.07286488246753227, 0.36127501736821915, -0.2480681148426811, -0.3477975418851808, 0.07948887160879774, -0.3040839444292942, -0.1848842648705613, 0.16023956985979262, -0.03627838789786134, 0.039881418942362266, 0.06960768441300995, 0.05618601958849467, -0.014687520185058625, -0.21904496122988348, 0.3334525909934503, 0.07093610962450232, 0.32933813663354766, 0.022070896218792768, 0.06319341652366954, -0.006875778107011381, -0.08147694518993376, 0.06850120479369555, -0.11153799090122145, 0.15343799528394206, 0.2934308886263655, 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710.1858 | Traveling waves in a one-dimensional random medium | We consider solutions of a scalar reaction-diffusion equation of the ignition
type with a random, stationary and ergodic reaction rate. We show that
solutions of the Cauchy problem spread with a deterministic rate in the long
time limit. We also establish existence of generalized random traveling waves
and of transition fronts in general heterogeneous media.
| math.AP math.PR | we consider solutions of a scalar reactiondiffusion equation of the ignition type with a random stationary and ergodic reaction rate we show that solutions of the cauchy problem spread with a deterministic rate in the long time limit we also establish existence of generalized random traveling waves and of transition fronts in general heterogeneous media | [['we', 'consider', 'solutions', 'of', 'a', 'scalar', 'reactiondiffusion', 'equation', 'of', 'the', 'ignition', 'type', 'with', 'a', 'random', 'stationary', 'and', 'ergodic', 'reaction', 'rate', 'we', 'show', 'that', 'solutions', 'of', 'the', 'cauchy', 'problem', 'spread', 'with', 'a', 'deterministic', 'rate', 'in', 'the', 'long', 'time', 'limit', 'we', 'also', 'establish', 'existence', 'of', 'generalized', 'random', 'traveling', 'waves', 'and', 'of', 'transition', 'fronts', 'in', 'general', 'heterogeneous', 'media']] | [-0.19447396590628407, 0.1325942810032178, -0.04575365259026347, 0.06204451092264869, -0.03305279974910346, -0.13627034619619902, 0.07237985420718111, 0.30563368553465065, -0.3013681106946685, -0.1411857738921588, 0.1269606691996821, -0.2834795288233595, -0.18104236048053612, 0.1448652684688568, 0.014491401942954823, 0.1162829564037648, 0.06580020070753315, 0.03812728664753112, -0.04350725242614069, -0.2026234445289116, 0.36326307105747135, -0.03939188543749465, 0.27581245313313874, 0.027008400603451513, 0.15039890777658332, -0.027612209785729647, 0.0010070062856274572, 4.766230810094963e-05, -0.1922144170010473, 0.020520566778511485, 0.23658094758337195, 0.10351036732847041, 0.2914083101786673, -0.452467003735629, -0.30205232037061996, 0.16101987105794252, 0.16151544736190276, 0.16951262961903757, -0.10907083301042969, -0.28335038973865184, 0.059294421670281074, -0.13240006139332597, -0.22311055367939514, 0.05361999202180993, 0.0355298505926674, 0.1851722866635431, -0.3021482444960963, 0.15826206634995865, 0.07366450428962708, -0.027389432489871978, -0.14047238015654412, -0.0001016017875041474, 0.039274176548827776, 0.04942518886686726, 0.08484964527147398, -0.03760046036649411, 0.02399615120481361, -0.1221317291429097, -0.10665729836857116, 0.3720980950377204, -0.16858483546582811, -0.24881053570319306, 0.18643847825852308, -0.153550205684521, -0.09205818767236038, 0.16480217564173721, 0.24893191505900839, 0.17235377712852576, -0.16009323857724667, 0.06348220253659581, -0.07471225497058846, 0.13603383814069359, 0.13905174545943738, 0.0037382961303757674, 0.12330130675638264, 0.196299974467944, 0.1178139752285047, 0.15435639128766276, -0.03350189804861491, -0.16799645928496665, -0.2989415564320304, -0.1591042773290114, -0.09599796289747412, 0.15011971255933695, -0.15034237617827867, -0.2351908993314613, 0.3651926273988052, 0.11611748984591527, 0.1328023050319065, 0.13451729039238258, 0.16671940248290246, 0.1807606541974978, -0.0993158939294517, 0.139279107241468, 0.1816923722286116, 0.1582909639247439, 0.16892978345805948, -0.21088793602856723, 0.06647209922190417, 0.10309782780029557] |
710.1859 | Noether Charge and Black Hole Entropy in Modified Theories of Gravity | The entropy of black holes in modified theories of gravity is examined in the
Palatini formalism using the Noether Charge approach. It is shown that, if the
gravitational coupling constant is properly identified, the entropy of a black
hole is one-quarter of the horizon area in f(R) theories coupled to conformally
invariant matter. If matter is present that is not conformally invariant the
entropy is still proportional to the area of the black hole, but the
coefficient is generally not one-quarter. The entropy of black holes in
generalized dilaton theories and in theories with Lagrangians that depend on an
arbitrary function of the Ricci tensor are also examined.
| gr-qc | the entropy of black holes in modified theories of gravity is examined in the palatini formalism using the noether charge approach it is shown that if the gravitational coupling constant is properly identified the entropy of a black hole is onequarter of the horizon area in fr theories coupled to conformally invariant matter if matter is present that is not conformally invariant the entropy is still proportional to the area of the black hole but the coefficient is generally not onequarter the entropy of black holes in generalized dilaton theories and in theories with lagrangians that depend on an arbitrary function of the ricci tensor are also examined | [['the', 'entropy', 'of', 'black', 'holes', 'in', 'modified', 'theories', 'of', 'gravity', 'is', 'examined', 'in', 'the', 'palatini', 'formalism', 'using', 'the', 'noether', 'charge', 'approach', 'it', 'is', 'shown', 'that', 'if', 'the', 'gravitational', 'coupling', 'constant', 'is', 'properly', 'identified', 'the', 'entropy', 'of', 'a', 'black', 'hole', 'is', 'onequarter', 'of', 'the', 'horizon', 'area', 'in', 'fr', 'theories', 'coupled', 'to', 'conformally', 'invariant', 'matter', 'if', 'matter', 'is', 'present', 'that', 'is', 'not', 'conformally', 'invariant', 'the', 'entropy', 'is', 'still', 'proportional', 'to', 'the', 'area', 'of', 'the', 'black', 'hole', 'but', 'the', 'coefficient', 'is', 'generally', 'not', 'onequarter', 'the', 'entropy', 'of', 'black', 'holes', 'in', 'generalized', 'dilaton', 'theories', 'and', 'in', 'theories', 'with', 'lagrangians', 'that', 'depend', 'on', 'an', 'arbitrary', 'function', 'of', 'the', 'ricci', 'tensor', 'are', 'also', 'examined']] | [-0.16910575884415907, 0.16125074675410697, -0.09833699307852874, 0.1416739178950795, -0.0731362648377264, -0.1829297408004533, -0.09335784880763472, 0.27764712186978646, -0.16252580874909958, -0.26411372359359153, 0.0645694426698524, -0.33154090411995574, -0.13466554603763614, 0.1434730841709232, -0.09600812137230402, 0.0231462183356699, -0.07270420532828818, 0.11960060663383316, -0.101273246667848, -0.2927792706026661, 0.3931879960000515, 0.08597044898865365, 0.26606329981479104, 0.07860597296665353, 0.11584891123628174, -0.05000544301044472, 0.018755977257603296, 0.12091069954826876, -0.1621431953874519, 0.04972060782569719, 0.19692098475880576, 0.1254428571426413, 0.17522198990142593, -0.36181800264037317, -0.2481876527459395, 0.07567467072254254, 0.10912431274213034, 0.12610684909547368, -0.05600582421606372, -0.23344446375483163, 0.0946508235970719, -0.21092505364989242, -0.12028913965601802, -0.044456975435389685, 0.08298579762103381, -0.0753277648343808, -0.1800884776145082, 0.163636874344741, 0.04678281156898097, -0.09107968600949755, -0.11196884582534915, -0.0005384134775441554, -0.10145903335608265, 0.02488781194875224, 0.17236550348051996, 0.07640288351534831, 0.20104990835749992, -0.13181260010417276, -0.08622952014707995, 0.3662109528840692, -0.0987586762316318, -0.296340124077957, 0.10771888499665591, -0.21971133520343789, -0.14809659783969875, 0.07463999843673298, 0.08970828952819661, 0.24824321144088, -0.16788374254247174, 0.20635411615377827, -0.0020269293993435524, 0.19084679892424633, 0.06929695380730899, 0.050821779336763066, 0.37008345577244955, 0.057576723181194174, 0.051878659327350626, 0.14445194128159158, 0.009626838147933423, -0.12679953084982656, -0.3612537827273762, -0.1825647309152811, -0.20162348519941722, 0.08138365890530015, -0.15127454513963634, -0.19174923019939646, 0.327825533674547, 0.07985060262769737, 0.10237721444368449, 0.048745115692899736, 0.2181428771984631, 0.13900854921559114, 0.09693387355353614, 0.11913342303079036, 0.3626673585687833, 0.1717328086810152, 0.0928798924411509, -0.24498224998738063, -0.06391599547135195, 0.13398309731511054] |
710.186 | Spitzer Observations of NGC 1333: A Study of Structure and Evolution in
a Nearby Embedded Cluster | We present a comprehensive analysis of structure in the young, embedded
cluster, NGC 1333 using members identified with Spitzer and 2MASS photometry
based on their IR-excess emission. In total, 137 members are identified in this
way, composed of 39 protostars and 98 more evolved pre-main sequence stars with
disks. Of the latter class, four are transition/debris disk candidates. The
fraction of exposed pre-main sequence stars with disks is 83% +/- 11%, showing
that there is a measurable diskless pre-main sequence population. The sources
in each of the Class I and Class II evolutionary states are shown to have very
different spatial distributions relative to the distribution of the dense gas
in their natal cloud. However, the distribution of nearest neighbor spacings
among these two groups of sources are found to be quite similar, with a strong
peak at spacings of 0.045 pc. Radial and azimuthal density profiles and surface
density maps computed from the identified YSOs show that NGC 1333 is elongated
and not strongly centrally concentrated, confirming previous claims in the
literature. We interpret these new results as signs of a low velocity
dispersion, extremely young cluster that is not in virial equilibrium.
| astro-ph | we present a comprehensive analysis of structure in the young embedded cluster ngc 1333 using members identified with spitzer and 2mass photometry based on their irexcess emission in total 137 members are identified in this way composed of 39 protostars and 98 more evolved premain sequence stars with disks of the latter class four are transitiondebris disk candidates the fraction of exposed premain sequence stars with disks is 83 11 showing that there is a measurable diskless premain sequence population the sources in each of the class i and class ii evolutionary states are shown to have very different spatial distributions relative to the distribution of the dense gas in their natal cloud however the distribution of nearest neighbor spacings among these two groups of sources are found to be quite similar with a strong peak at spacings of 0045 pc radial and azimuthal density profiles and surface density maps computed from the identified ysos show that ngc 1333 is elongated and not strongly centrally concentrated confirming previous claims in the literature we interpret these new results as signs of a low velocity dispersion extremely young cluster that is not in virial equilibrium | [['we', 'present', 'a', 'comprehensive', 'analysis', 'of', 'structure', 'in', 'the', 'young', 'embedded', 'cluster', 'ngc', '1333', 'using', 'members', 'identified', 'with', 'spitzer', 'and', '2mass', 'photometry', 'based', 'on', 'their', 'irexcess', 'emission', 'in', 'total', '137', 'members', 'are', 'identified', 'in', 'this', 'way', 'composed', 'of', '39', 'protostars', 'and', '98', 'more', 'evolved', 'premain', 'sequence', 'stars', 'with', 'disks', 'of', 'the', 'latter', 'class', 'four', 'are', 'transitiondebris', 'disk', 'candidates', 'the', 'fraction', 'of', 'exposed', 'premain', 'sequence', 'stars', 'with', 'disks', 'is', '83', '11', 'showing', 'that', 'there', 'is', 'a', 'measurable', 'diskless', 'premain', 'sequence', 'population', 'the', 'sources', 'in', 'each', 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710.1861 | Dissociative electron attachment to the H2O molecule. II. Nuclear
dynamics on coupled electronic surfaces within the local complex potential
model | We report the results of a first-principles study of dissociative electron
attachment to H2O. The cross sections are obtained from nuclear dynamics
calculations carried out in full dimensionality within the local complex
potential model by using the multi-configuration time-dependent Hartree method.
The calculations employ our previously obtained global, complex-valued,
potential-energy surfaces for the three (doublet B1, doublet A1, and doublet
B2) electronic Feshbach resonances involved in this process. These three
metastable states of H2O- undergo several degeneracies, and we incorporate both
the Renner-Teller coupling between the B1 and A1 states as well as the conical
intersection between the A1 and B2 states into our treatment. The nuclear
dynamics are inherently multidimensional and involve branching between
different final product arrangements as well as extensive excitation of the
diatomic fragment. Our results successfully mirror the qualitative features of
the major fragment channels observed, but are less successful in reproducing
the available results for some of the minor channels. We comment on the
applicability of the local complex potential model to such a complicated
resonant system.
| physics.chem-ph | we report the results of a firstprinciples study of dissociative electron attachment to h2o the cross sections are obtained from nuclear dynamics calculations carried out in full dimensionality within the local complex potential model by using the multiconfiguration timedependent hartree method the calculations employ our previously obtained global complexvalued potentialenergy surfaces for the three doublet b1 doublet a1 and doublet b2 electronic feshbach resonances involved in this process these three metastable states of h2o undergo several degeneracies and we incorporate both the rennerteller coupling between the b1 and a1 states as well as the conical intersection between the a1 and b2 states into our treatment the nuclear dynamics are inherently multidimensional and involve branching between different final product arrangements as well as extensive excitation of the diatomic fragment our results successfully mirror the qualitative features of the major fragment channels observed but are less successful in reproducing the available results for some of the minor channels we comment on the applicability of the local complex potential model to such a complicated resonant system | [['we', 'report', 'the', 'results', 'of', 'a', 'firstprinciples', 'study', 'of', 'dissociative', 'electron', 'attachment', 'to', 'h2o', 'the', 'cross', 'sections', 'are', 'obtained', 'from', 'nuclear', 'dynamics', 'calculations', 'carried', 'out', 'in', 'full', 'dimensionality', 'within', 'the', 'local', 'complex', 'potential', 'model', 'by', 'using', 'the', 'multiconfiguration', 'timedependent', 'hartree', 'method', 'the', 'calculations', 'employ', 'our', 'previously', 'obtained', 'global', 'complexvalued', 'potentialenergy', 'surfaces', 'for', 'the', 'three', 'doublet', 'b1', 'doublet', 'a1', 'and', 'doublet', 'b2', 'electronic', 'feshbach', 'resonances', 'involved', 'in', 'this', 'process', 'these', 'three', 'metastable', 'states', 'of', 'h2o', 'undergo', 'several', 'degeneracies', 'and', 'we', 'incorporate', 'both', 'the', 'rennerteller', 'coupling', 'between', 'the', 'b1', 'and', 'a1', 'states', 'as', 'well', 'as', 'the', 'conical', 'intersection', 'between', 'the', 'a1', 'and', 'b2', 'states', 'into', 'our', 'treatment', 'the', 'nuclear', 'dynamics', 'are', 'inherently', 'multidimensional', 'and', 'involve', 'branching', 'between', 'different', 'final', 'product', 'arrangements', 'as', 'well', 'as', 'extensive', 'excitation', 'of', 'the', 'diatomic', 'fragment', 'our', 'results', 'successfully', 'mirror', 'the', 'qualitative', 'features', 'of', 'the', 'major', 'fragment', 'channels', 'observed', 'but', 'are', 'less', 'successful', 'in', 'reproducing', 'the', 'available', 'results', 'for', 'some', 'of', 'the', 'minor', 'channels', 'we', 'comment', 'on', 'the', 'applicability', 'of', 'the', 'local', 'complex', 'potential', 'model', 'to', 'such', 'a', 'complicated', 'resonant', 'system']] | [-0.08852383804088997, 0.09017167701130205, 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710.1862 | Primes, Pi, and Irrationality Measure | A folklore proof of Euclid's theorem on the infinitude of primes uses the
Euler product and the irrationality of $\zeta(2) = \pi^2/6$. A quantified form
of Euclid's Theorem is Bertrand's postulate $p_{n+1} < 2p_n$. By quantifying
the folklore proof using an irrationality measure for $6/\pi^2$, we give a
proof (communicated to Paulo Ribenboim in 2005) of a much weaker upper bound on
$p_{n+1}$.
| math.NT math.GM | a folklore proof of euclids theorem on the infinitude of primes uses the euler product and the irrationality of zeta2 pi26 a quantified form of euclids theorem is bertrands postulate p_n1 2p_n by quantifying the folklore proof using an irrationality measure for 6pi2 we give a proof communicated to paulo ribenboim in 2005 of a much weaker upper bound on p_n1 | [['a', 'folklore', 'proof', 'of', 'euclids', 'theorem', 'on', 'the', 'infinitude', 'of', 'primes', 'uses', 'the', 'euler', 'product', 'and', 'the', 'irrationality', 'of', 'zeta2', 'pi26', 'a', 'quantified', 'form', 'of', 'euclids', 'theorem', 'is', 'bertrands', 'postulate', 'p_n1', '2p_n', 'by', 'quantifying', 'the', 'folklore', 'proof', 'using', 'an', 'irrationality', 'measure', 'for', '6pi2', 'we', 'give', 'a', 'proof', 'communicated', 'to', 'paulo', 'ribenboim', 'in', '2005', 'of', 'a', 'much', 'weaker', 'upper', 'bound', 'on', 'p_n1']] | [-0.1957991926309963, 0.03989650270499017, -0.2315960801128919, 0.17611651073869627, -0.1043926575453952, -0.1428683182069411, 0.11713622317959865, 0.1285149884565423, -0.2171375018854936, -0.28995954788600403, 0.06628881435026415, -0.27112161786838745, -0.10465416862086083, 0.24697398606998225, -0.17099732522231836, -0.029643832872776936, 0.024701545926897477, 0.0473901371161143, 0.034143116301856936, -0.29171477872878315, 0.2905476194806397, -0.03136987288792928, 0.18702979881005982, 0.14528078474104406, 0.10709919721509019, 0.054789658034375556, -0.029024216718971728, -0.11990784007745485, -0.21550698231440038, 0.15392716006996732, 0.20336034725187346, 0.19818018445124228, 0.30888807512819766, -0.34453219290201864, -0.014220646993877987, 0.12630047660010557, 0.1187828563231354, 0.02692573262999455, 0.019795840524602683, -0.3175213430697719, 0.09057838623411954, -0.12184058791026472, -0.2063659007428214, -0.04630253944293751, 0.07468961840495467, -0.00769563444579641, -0.24485027313542862, 0.06604768155763546, 0.21824541538953782, 0.16331905182014453, 0.014181920296202103, -0.20950604217747848, 0.0810701224487275, 0.021369809610769154, 0.045924060617107895, 0.05601151084216933, 0.03195781730270634, -0.03968557920306921, -0.1549986985900129, 0.31493177398418387, -0.05623158460172514, -0.1614443230559118, 0.07845688563150664, -0.07538413097305845, -0.18412543941910067, 0.0797327237863404, 0.04919125260785222, 0.13034302446370324, -0.0344649953301996, 0.11391151932281597, -0.19850975254861017, 0.19578540134243666, 0.22822293404800195, 0.005181381634126107, 0.09217874699582657, 0.06963428063318133, 0.0662118754349649, 0.14076840000925586, 0.03476438917374859, -0.06664580780391892, -0.3576668106640379, -0.27171568243162864, -0.27137455218471584, 0.20247249578436216, -0.11916984198590702, -0.18023180891759694, 0.29798023919186867, 0.07007081524158518, 0.08865685514174401, 0.1676331384961183, 0.259428331698291, 0.1403958128556648, 0.01727746426477097, 0.027809369505848735, 0.18531267854074637, 0.23664065374759957, 0.03486163245203595, -0.03226032625728597, 0.10016183432502052, 0.27965719850423437] |
710.1863 | The Detection of Molecular Gas in the Outskirts of NGC 6946 | We present the results of a search for molecular gas emission via the CO line
in the far outer disk of the nearby spiral, NGC 6946. The positions targeted
were chosen to lie on or near previously-identified outer disk HII regions.
Molecular gas was clearly detected out to 1.3 R$_{25}$, with a further
tentative detection at 1.4 R$_{25}$. The CO detections show excellent agreement
with the HI velocities and imply beam-averaged column densities of $0.3-9\times
10^{20}$ cm$^{-2}$ and molecular gas masses of (2-70)$\times 10^{5}$ M$_{\sun}$
per 21$''$ beam (560pc). We find evidence for an abrupt decrease in the
molecular fraction at the edge of the optical disk, similar to that seen
previously in the azimuthally-averaged areal star formation rate. Our
observations provide new constraints on the factors that determine the presence
and detectability of molecular gas in the outskirts of galaxies, and suggest
that neither the HI column, the metallicity or the local heating rate alone
plays a dominant role.
| astro-ph | we present the results of a search for molecular gas emission via the co line in the far outer disk of the nearby spiral ngc 6946 the positions targeted were chosen to lie on or near previouslyidentified outer disk hii regions molecular gas was clearly detected out to 13 r_25 with a further tentative detection at 14 r_25 the co detections show excellent agreement with the hi velocities and imply beamaveraged column densities of 039times 1020 cm2 and molecular gas masses of 270times 105 m_sun per 21 beam 560pc we find evidence for an abrupt decrease in the molecular fraction at the edge of the optical disk similar to that seen previously in the azimuthallyaveraged areal star formation rate our observations provide new constraints on the factors that determine the presence and detectability of molecular gas in the outskirts of galaxies and suggest that neither the hi column the metallicity or the local heating rate alone plays a dominant role | [['we', 'present', 'the', 'results', 'of', 'a', 'search', 'for', 'molecular', 'gas', 'emission', 'via', 'the', 'co', 'line', 'in', 'the', 'far', 'outer', 'disk', 'of', 'the', 'nearby', 'spiral', 'ngc', '6946', 'the', 'positions', 'targeted', 'were', 'chosen', 'to', 'lie', 'on', 'or', 'near', 'previouslyidentified', 'outer', 'disk', 'hii', 'regions', 'molecular', 'gas', 'was', 'clearly', 'detected', 'out', 'to', '13', 'r_25', 'with', 'a', 'further', 'tentative', 'detection', 'at', '14', 'r_25', 'the', 'co', 'detections', 'show', 'excellent', 'agreement', 'with', 'the', 'hi', 'velocities', 'and', 'imply', 'beamaveraged', 'column', 'densities', 'of', '039times', '1020', 'cm2', 'and', 'molecular', 'gas', 'masses', 'of', '270times', '105', 'm_sun', 'per', '21', 'beam', '560pc', 'we', 'find', 'evidence', 'for', 'an', 'abrupt', 'decrease', 'in', 'the', 'molecular', 'fraction', 'at', 'the', 'edge', 'of', 'the', 'optical', 'disk', 'similar', 'to', 'that', 'seen', 'previously', 'in', 'the', 'azimuthallyaveraged', 'areal', 'star', 'formation', 'rate', 'our', 'observations', 'provide', 'new', 'constraints', 'on', 'the', 'factors', 'that', 'determine', 'the', 'presence', 'and', 'detectability', 'of', 'molecular', 'gas', 'in', 'the', 'outskirts', 'of', 'galaxies', 'and', 'suggest', 'that', 'neither', 'the', 'hi', 'column', 'the', 'metallicity', 'or', 'the', 'local', 'heating', 'rate', 'alone', 'plays', 'a', 'dominant', 'role']] | [-0.0840890115485853, 0.03837255487794273, 0.009270988105185283, 0.03925538092709271, -0.0074152038024833345, -0.021634714904087034, 0.08453082859554702, 0.4419753131616837, -0.1288448321673082, -0.3313299362921411, 0.06045848525508906, -0.27346381081185145, -0.016336011575760357, 0.15075162779925402, 0.04416026173835727, -0.04655636742912755, 0.021708872978972973, -0.09328126686511733, -0.06712004426825245, -0.2456203328362506, 0.2568335037642888, 0.11136071991685564, 0.1552896725701963, 0.041788201828436795, 0.0469199983865782, -0.146891834691855, -0.06264636122768413, -0.060386999634800445, -0.21289065749762442, 0.05439844359436138, 0.22208574170448409, 0.07616917902283418, 0.19711771819764262, -0.4062567148832189, -0.20679897100777384, 0.050310439209569714, 0.2145264934893745, 0.03624875617367779, -0.07493876666127211, -0.264977979906805, 0.04421348456155426, -0.1715314708684221, -0.2249223387809055, 0.09267548590477342, 0.04355931791601477, 0.034625810793464544, -0.22471280411407826, 0.19592337232901696, 0.005018481900945163, 0.10521792208740285, -0.11600489374606093, -0.1372300985559916, -0.09259216523741129, 0.045709621569046836, -0.03617520007426453, 0.10808563656855825, 0.30444726330720506, -0.1300819791663604, 0.006679137106866214, 0.38655991017059155, -0.10305333790772707, 0.0038067665511659185, 0.2716565246880648, -0.24746264565504708, -0.2075164936049871, 0.22882649158631826, 0.11345717633012564, 0.054789096122951644, -0.09779762152795958, -0.04048166445984393, -0.09607090887459363, 0.23765894981504532, 0.07761339697939386, 0.07200721144681956, 0.35515596677258515, 0.04127133017180452, 0.07528188579959, 0.09553237813880822, -0.2872241381259196, -0.048714432444209886, -0.2246295992999818, -0.1414537917508204, -0.10368753957434611, 0.0595949136033457, -0.13130255621838663, -0.06348555644523281, 0.2806904412817898, 0.09752336640658367, 0.2807228121873893, 0.021369668297695033, 0.3044991562866671, 0.08698583775716033, 0.11365854995218432, 0.15079606895536707, 0.3154635625315984, 0.16652867794897003, 0.05177957482656737, -0.2862545544174826, 0.08427158507754266, -0.0158639753023815] |
710.1864 | Reparameterization invariance of NRQED self-energy corrections and
improved theory for excited D states in hydrogenlike systems | Canonically, the quantum electrodynamic radiative corrections in bound
systems have been evaluated in photon energy regularization, i. e. using a
noncovariant overlapping parameter that separates the high-energy relativistic
scales of the virtual quanta from the nonrelativistic domain. Here, we
calculate the higher-order corrections to the one-photon self-energy
calculation with three different overlapping parameters (photon energy, photon
mass and dimensional regularization) and demonstrate the reparameterization
invariance of nonrelativistic quantum electrodynamics (NRQED) using this
particular example. We also present new techniques for the calculation of the
low-energy part of this correction, which lead to results for the Lamb shift of
highly excited states that are important for high-precision spectroscopy.
| hep-ph | canonically the quantum electrodynamic radiative corrections in bound systems have been evaluated in photon energy regularization i e using a noncovariant overlapping parameter that separates the highenergy relativistic scales of the virtual quanta from the nonrelativistic domain here we calculate the higherorder corrections to the onephoton selfenergy calculation with three different overlapping parameters photon energy photon mass and dimensional regularization and demonstrate the reparameterization invariance of nonrelativistic quantum electrodynamics nrqed using this particular example we also present new techniques for the calculation of the lowenergy part of this correction which lead to results for the lamb shift of highly excited states that are important for highprecision spectroscopy | [['canonically', 'the', 'quantum', 'electrodynamic', 'radiative', 'corrections', 'in', 'bound', 'systems', 'have', 'been', 'evaluated', 'in', 'photon', 'energy', 'regularization', 'i', 'e', 'using', 'a', 'noncovariant', 'overlapping', 'parameter', 'that', 'separates', 'the', 'highenergy', 'relativistic', 'scales', 'of', 'the', 'virtual', 'quanta', 'from', 'the', 'nonrelativistic', 'domain', 'here', 'we', 'calculate', 'the', 'higherorder', 'corrections', 'to', 'the', 'onephoton', 'selfenergy', 'calculation', 'with', 'three', 'different', 'overlapping', 'parameters', 'photon', 'energy', 'photon', 'mass', 'and', 'dimensional', 'regularization', 'and', 'demonstrate', 'the', 'reparameterization', 'invariance', 'of', 'nonrelativistic', 'quantum', 'electrodynamics', 'nrqed', 'using', 'this', 'particular', 'example', 'we', 'also', 'present', 'new', 'techniques', 'for', 'the', 'calculation', 'of', 'the', 'lowenergy', 'part', 'of', 'this', 'correction', 'which', 'lead', 'to', 'results', 'for', 'the', 'lamb', 'shift', 'of', 'highly', 'excited', 'states', 'that', 'are', 'important', 'for', 'highprecision', 'spectroscopy']] | [-0.08025075227161434, 0.1978981152707798, -0.09965153147301106, 0.10604319824275743, -0.02679578255792366, -0.13007743687969503, 0.01024713371793313, 0.34004818975368395, -0.2091056652210444, -0.308295789270479, -0.039930264637413844, -0.2943544705163374, -0.07170185520287568, 0.18848046085962625, 0.036179910222434, 0.0894842718490704, 0.05926838988072683, 2.5068453260671313e-05, -0.06583893004474099, -0.14129303503241913, 0.3629466080776999, 0.06458789450290535, 0.24196212791846455, 0.11726944827013344, 0.08381455223659211, 0.025914290119136606, -0.03139931050555728, -0.01247822481999609, -0.10975916421317787, 0.11141462195131527, 0.22996450206438931, 0.012058488735232815, 0.2203412325661107, -0.4002337811566959, -0.2108823803262176, 0.058927377433489976, 0.1524777035577066, 0.18148201831864524, -0.05554041341404108, -0.2853803888102558, -0.01891860958388963, -0.21063357835339608, -0.12310567816771636, -0.14931133790725024, 0.0031082588639632564, -0.04935927542454724, -0.2438093608671747, 0.087883622296074, -0.014367985904704188, -0.01894847729252042, -0.05836662832020878, -0.10937970462385739, 0.014838354681644624, 0.08707309612203563, 0.04426960145758691, 0.011704532246792985, 0.14037109114595245, -0.14164446290914529, -0.16684110175870429, 0.4080569852039079, -0.08203751820130883, -0.1885960960029581, 0.10312425594550566, -0.1483431360205618, -0.17488794852479003, 0.15906936412994863, 0.1603939342573633, 0.14977056866024283, -0.139805364274533, 0.13928529963650194, 0.022905030338121926, 0.14779978989684414, 0.06781838719176006, 0.1163601257455335, 0.14487660328953345, 0.07931872055796192, -0.03390913148340987, 0.11923900479233224, -0.13175955507469095, -0.11534169002949635, -0.37464608276419553, -0.15548424755503798, -0.18050125792239594, 0.07119895003422677, -0.07316303986454356, -0.16268557575574824, 0.39032629418630743, 0.15992690594681913, 0.13499997978133507, -0.009384610021060384, 0.35697030129833757, 0.20698015830940872, 0.08509626258686881, 0.0667786516388443, 0.3322009804025379, 0.13787894070183285, 0.04731945686964927, -0.30929670165723766, -0.09449082507238349, 0.08072972510480017] |
710.1865 | Invariant Yang-Mills connections over Non-Reductive Pseudo-Riemannian
Homogeneous Spaces | We study invariant gauge fields over the 4-dimensional non-reductive
pseudo-Riemannian homogeneous spaces G/K recently classified by Fels & Renner
(2006). Given H compact semi-simple, classification results are obtained for
principal H-bundles over G/K admitting: (1) a G-action (by bundle
automorphisms) projecting to left multiplication on the base, and (2) at least
one G-invariant connection. There are two cases which admit nontrivial examples
of such bundles and all G-invariant connections on these bundles are
Yang-Mills. The validity of the principle of symmetric criticality (PSC) is
investigated in the context of the bundle of connections and is shown to fail
for all but one of the Fels-Renner cases. This failure arises from degeneracy
of the scalar product on pseudo-tensorial forms restricted to the space of
symmetric variations of an invariant connection. In the exceptional case where
PSC is valid, there is a unique G-invariant connection which is moreover
universal, i.e. it is the solution of the Euler-Lagrange equations associated
to any G-invariant Lagrangian on the bundle of connections. This solution is a
canonical connection associated with a weaker notion of reductivity which we
introduce.
| math-ph math.MP | we study invariant gauge fields over the 4dimensional nonreductive pseudoriemannian homogeneous spaces gk recently classified by fels renner 2006 given h compact semisimple classification results are obtained for principal hbundles over gk admitting 1 a gaction by bundle automorphisms projecting to left multiplication on the base and 2 at least one ginvariant connection there are two cases which admit nontrivial examples of such bundles and all ginvariant connections on these bundles are yangmills the validity of the principle of symmetric criticality psc is investigated in the context of the bundle of connections and is shown to fail for all but one of the felsrenner cases this failure arises from degeneracy of the scalar product on pseudotensorial forms restricted to the space of symmetric variations of an invariant connection in the exceptional case where psc is valid there is a unique ginvariant connection which is moreover universal ie it is the solution of the eulerlagrange equations associated to any ginvariant lagrangian on the bundle of connections this solution is a canonical connection associated with a weaker notion of reductivity which we introduce | [['we', 'study', 'invariant', 'gauge', 'fields', 'over', 'the', '4dimensional', 'nonreductive', 'pseudoriemannian', 'homogeneous', 'spaces', 'gk', 'recently', 'classified', 'by', 'fels', 'renner', '2006', 'given', 'h', 'compact', 'semisimple', 'classification', 'results', 'are', 'obtained', 'for', 'principal', 'hbundles', 'over', 'gk', 'admitting', '1', 'a', 'gaction', 'by', 'bundle', 'automorphisms', 'projecting', 'to', 'left', 'multiplication', 'on', 'the', 'base', 'and', '2', 'at', 'least', 'one', 'ginvariant', 'connection', 'there', 'are', 'two', 'cases', 'which', 'admit', 'nontrivial', 'examples', 'of', 'such', 'bundles', 'and', 'all', 'ginvariant', 'connections', 'on', 'these', 'bundles', 'are', 'yangmills', 'the', 'validity', 'of', 'the', 'principle', 'of', 'symmetric', 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710.1866 | Can we see naked singularities? | We study singularities which can form in a spherically symmetric
gravitational collapse of a general matter field obeying weak energy condition.
We show that no energy can reach an outside observer from a null naked
singularity. That means they will not be a serious threat to the Cosmic
Censorship Conjecture (CCC). For the timelike naked singularities, where only
the central shell gets singular, the redshift is always finite and they can in
principle, carry energy to a faraway observer. Hence for proving or disproving
CCC the study of timelike naked singularities will be more important. Our
results are very general and are independent of initial data and the form of
the matter.
| gr-qc astro-ph hep-th | we study singularities which can form in a spherically symmetric gravitational collapse of a general matter field obeying weak energy condition we show that no energy can reach an outside observer from a null naked singularity that means they will not be a serious threat to the cosmic censorship conjecture ccc for the timelike naked singularities where only the central shell gets singular the redshift is always finite and they can in principle carry energy to a faraway observer hence for proving or disproving ccc the study of timelike naked singularities will be more important our results are very general and are independent of initial data and the form of the matter | [['we', 'study', 'singularities', 'which', 'can', 'form', 'in', 'a', 'spherically', 'symmetric', 'gravitational', 'collapse', 'of', 'a', 'general', 'matter', 'field', 'obeying', 'weak', 'energy', 'condition', 'we', 'show', 'that', 'no', 'energy', 'can', 'reach', 'an', 'outside', 'observer', 'from', 'a', 'null', 'naked', 'singularity', 'that', 'means', 'they', 'will', 'not', 'be', 'a', 'serious', 'threat', 'to', 'the', 'cosmic', 'censorship', 'conjecture', 'ccc', 'for', 'the', 'timelike', 'naked', 'singularities', 'where', 'only', 'the', 'central', 'shell', 'gets', 'singular', 'the', 'redshift', 'is', 'always', 'finite', 'and', 'they', 'can', 'in', 'principle', 'carry', 'energy', 'to', 'a', 'faraway', 'observer', 'hence', 'for', 'proving', 'or', 'disproving', 'ccc', 'the', 'study', 'of', 'timelike', 'naked', 'singularities', 'will', 'be', 'more', 'important', 'our', 'results', 'are', 'very', 'general', 'and', 'are', 'independent', 'of', 'initial', 'data', 'and', 'the', 'form', 'of', 'the', 'matter']] | [-0.18549067081585235, 0.11434804477812577, -0.1564203898971235, 0.16145161462502852, -0.11628097138184655, -0.16579197471063317, -0.017652887518384626, 0.3190243366906153, -0.19506843639205076, -0.23097736387613363, 0.10607666961108667, -0.2795262190359478, -0.0711726550923361, 0.1799983893870376, -0.0749698634525495, -0.004048665191346247, 0.0715883691612232, 0.07258352559957919, -0.07203982651623976, -0.23863816628831305, 0.420430758614592, 0.09661963194750049, 0.22147663652763835, 0.10464428002264217, 0.04639186540173666, -0.013665494398862523, 0.010105207163308347, 0.09606168409975778, -0.11608001354514792, 0.025219937543235055, 0.2569346813543234, 0.18311464766410218, 0.27640622920469987, -0.4354160728897633, -0.21558176205767918, 0.18579573244122521, 0.17475807913745353, 0.17292110083404363, -0.06548236295683248, -0.3094092126203967, 0.1293734776538713, -0.1593975871468761, -0.23008986286419844, -0.048695644826303966, 0.00042660688320341123, -0.005424958849159468, -0.2236077115189151, 0.10118357603537984, 0.0892794755387253, -0.016643128416035324, -0.08527849940998879, 0.023432715615074682, -0.04383300409660608, 0.0658941317046161, 0.07246915413790182, 0.03687243820500693, 0.13200713124907842, -0.14118971575434053, -0.05046792576571794, 0.36658411567207494, -0.04171032547518345, -0.19797344380224655, 0.15622651737898455, -0.21614058355667762, -0.10290544134789213, 0.14747504540303322, 0.11577529491790171, 0.13685360777058772, -0.12910901530579263, 0.09895583307713553, -0.030300027092120478, 0.1262111072589635, 0.1530504182862517, 0.006378482827650649, 0.3266616521369932, 0.05453655417243551, 0.07004111728747375, 0.058220700036534775, -0.0455819303377731, -0.08151091223615888, -0.39738843121033696, -0.19025971606398734, -0.14555669362640142, 0.1321997978064766, -0.12449883465745058, -0.1948799833189696, 0.2997109372559602, 0.08002075118929497, 0.1524608773678275, 0.028392588533668977, 0.2491481745289223, 0.06081034513148812, 0.03962055327221086, 0.11499465692239548, 0.31406298782011227, 0.06570854877645615, 0.06849411105005336, -0.13828167667088564, 0.01813415421825734, 0.014512160709793014] |
710.1867 | Impact of non-standard neutrino interactions on future oscillation
experiments | We study the performance of reactor and superbeam neutrino experiments in the
presence of non-standard interactions (NSI). We find that for some non-standard
terms, reactor and superbeam experiments would yield conflicting result in the
theta-13 determination, while in other cases, they may agree well with each
other, but the resulting value for theta-13 could be far from the true value.
Throughout our discussion, we pay special attention to the impact of the
complex phases of the NSI parameters and to the observations at the near
detector.
| hep-ph | we study the performance of reactor and superbeam neutrino experiments in the presence of nonstandard interactions nsi we find that for some nonstandard terms reactor and superbeam experiments would yield conflicting result in the theta13 determination while in other cases they may agree well with each other but the resulting value for theta13 could be far from the true value throughout our discussion we pay special attention to the impact of the complex phases of the nsi parameters and to the observations at the near detector | [['we', 'study', 'the', 'performance', 'of', 'reactor', 'and', 'superbeam', 'neutrino', 'experiments', 'in', 'the', 'presence', 'of', 'nonstandard', 'interactions', 'nsi', 'we', 'find', 'that', 'for', 'some', 'nonstandard', 'terms', 'reactor', 'and', 'superbeam', 'experiments', 'would', 'yield', 'conflicting', 'result', 'in', 'the', 'theta13', 'determination', 'while', 'in', 'other', 'cases', 'they', 'may', 'agree', 'well', 'with', 'each', 'other', 'but', 'the', 'resulting', 'value', 'for', 'theta13', 'could', 'be', 'far', 'from', 'the', 'true', 'value', 'throughout', 'our', 'discussion', 'we', 'pay', 'special', 'attention', 'to', 'the', 'impact', 'of', 'the', 'complex', 'phases', 'of', 'the', 'nsi', 'parameters', 'and', 'to', 'the', 'observations', 'at', 'the', 'near', 'detector']] | [-0.075161425746046, 0.16195353238605137, -0.011040005462682741, 0.0960790247461477, -0.08673092447827722, -0.13971639517694712, 0.08645013951544844, 0.34909084240017935, -0.22478973690615317, -0.32423524974390516, 0.12377741176033999, -0.33383748609150304, -0.09831759716968896, 0.24472809561560754, -0.026741398086901323, 0.0340682080795252, 0.12422272792427129, 0.037297288995496065, -0.13134356375193484, -0.24251618272581593, 0.27532053275337054, 0.13229197039550475, 0.22736272269448396, 0.12079056687003305, 0.031329075443060246, -0.0680826120349297, -0.024293169184306334, -0.02272346033293806, -0.1257579274571854, 0.027711188637239988, 0.2767548781906276, 0.1157782961354526, 0.1500806874097433, -0.40899845801813656, -0.1917299298667024, 0.1868974418693417, 0.07814581651067318, 0.09599218954776176, -0.04450125808199478, -0.31210003407715364, 0.04090126470640995, -0.17969489710535422, -0.13865289264250286, -0.05175748567616697, -0.06927529806920955, 0.007677422724745431, -0.3108094079896461, 0.03959733986858885, -0.021722107501646375, 0.0044684175775538005, -0.014989236697316343, -0.22726976392292525, 0.033939223985599225, 0.14037570096335786, 0.15294091844238167, -0.04976477591201749, 0.1035641866200062, -0.18729459486771807, -0.050014842945952404, 0.39972986193471266, -0.061155279621828436, -0.1748323640028058, 0.16225474733902617, -0.2172843906299149, -0.15558737818947668, 0.07225739183906076, 0.16604094995662225, 0.04866125010127245, -0.092786714965261, 0.05673988162185239, -0.07413052554177336, 0.13411762731604623, 0.06192510899529944, 0.03166164424768541, 0.25825044198968816, 0.1930379558890668, 0.09610505039711635, 0.007537897286373515, -0.13020106125622988, -0.08404530444030844, -0.33453029700619885, -0.08063926102138709, -0.08305297342540566, 0.026596906757372064, -0.07388435334977721, -0.10861878419771444, 0.4228147088961546, 0.18350217130500823, 0.19409438628205206, -0.00186640202869163, 0.26610538178275145, 0.0492608672573751, 0.05546343276753675, -0.02997124230294207, 0.3737764605500351, 0.06629416325974256, 0.13777192951948924, -0.23885554033818893, 0.13450203068164546, -0.004557440804620815] |
710.1868 | Non-perturbative microscopic theory of superconducting fluctuations near
a quantum critical point | We consider an inhomogeneous anisotropic gap superconductor in the vicinity
of the quantum critical point, where the transition temperature is suppressed
to zero by disorder. Starting with the BCS Hamiltonian, we derive the
Ginzburg-Landau action for the superconducting order parameter. It is shown
that the critical theory corresponds to the marginal case in two dimensions and
is formally equivalent to the theory of an antiferromagnetic quantum critical
point, which is a quantum critical theory with the dynamic critical exponent,
z=2. This allows us to use a parquet method to calculate the non-perturbative
effect of quantum superconducting fluctuations on thermodynamic properties. We
derive a general expression for the fluctuation magnetic susceptibility, which
exhibits a crossover from the logarithmic dependence, $\chi ~ ln(dn)$, valid
beyond the Ginzburg region to $\chi ~ ln^{1/5}(dn)$ valid in the immediate
vicinity of the transition (where $dn$ is the deviation from the critical
disorder concentration). We suggest that the obtained non-perturbative results
describe the low-temperature critical behavior of a variety of diverse
superconducting systems, which include overdoped high-temperature cuprates,
disordered p-wave superconductors, and conventional superconducting films with
magnetic impurities.
| cond-mat.supr-con cond-mat.dis-nn | we consider an inhomogeneous anisotropic gap superconductor in the vicinity of the quantum critical point where the transition temperature is suppressed to zero by disorder starting with the bcs hamiltonian we derive the ginzburglandau action for the superconducting order parameter it is shown that the critical theory corresponds to the marginal case in two dimensions and is formally equivalent to the theory of an antiferromagnetic quantum critical point which is a quantum critical theory with the dynamic critical exponent z2 this allows us to use a parquet method to calculate the nonperturbative effect of quantum superconducting fluctuations on thermodynamic properties we derive a general expression for the fluctuation magnetic susceptibility which exhibits a crossover from the logarithmic dependence chi lndn valid beyond the ginzburg region to chi ln15dn valid in the immediate vicinity of the transition where dn is the deviation from the critical disorder concentration we suggest that the obtained nonperturbative results describe the lowtemperature critical behavior of a variety of diverse superconducting systems which include overdoped hightemperature cuprates disordered pwave superconductors and conventional superconducting films with magnetic impurities | [['we', 'consider', 'an', 'inhomogeneous', 'anisotropic', 'gap', 'superconductor', 'in', 'the', 'vicinity', 'of', 'the', 'quantum', 'critical', 'point', 'where', 'the', 'transition', 'temperature', 'is', 'suppressed', 'to', 'zero', 'by', 'disorder', 'starting', 'with', 'the', 'bcs', 'hamiltonian', 'we', 'derive', 'the', 'ginzburglandau', 'action', 'for', 'the', 'superconducting', 'order', 'parameter', 'it', 'is', 'shown', 'that', 'the', 'critical', 'theory', 'corresponds', 'to', 'the', 'marginal', 'case', 'in', 'two', 'dimensions', 'and', 'is', 'formally', 'equivalent', 'to', 'the', 'theory', 'of', 'an', 'antiferromagnetic', 'quantum', 'critical', 'point', 'which', 'is', 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710.1869 | Flavor from Minimal Flavor Violation & a Viable Randall-Sundrum Model | We present a variant of the warped extra dimension, Randall-Sundrum (RS),
framework which is based on five dimensional (5D) minimal flavor violation
(MFV), in which the only sources of flavor breaking are two 5D anarchic Yukawa
matrices. The Yukawa matrices also control the bulk masses, which are
responsible for the resulting flavor structure and mass hierarchy in the low
energy theory. An interesting result of this set-up is that at low energies the
theory flows to next to MFV model where flavor violation is dominantly coming
from the third generation. Low energy flavor violation is further suppressed by
a single parameter that dials the amount of violation in the up or down sector.
There is therefore a sharp limit in which there is no flavor violation in the
down type quark sector which, remarkably, is favored when we fit for the flavor
parameters. This mechanism is used to eliminate the current RS flavor and CP
problem even with a Kaluza-Klein scale as low as 2 TeV! Our construction also
suggests that economic supersymmetric and non-supersymmetric, strong
dynamic-based, flavor models may be built based on the same concepts.
| hep-ph | we present a variant of the warped extra dimension randallsundrum rs framework which is based on five dimensional 5d minimal flavor violation mfv in which the only sources of flavor breaking are two 5d anarchic yukawa matrices the yukawa matrices also control the bulk masses which are responsible for the resulting flavor structure and mass hierarchy in the low energy theory an interesting result of this setup is that at low energies the theory flows to next to mfv model where flavor violation is dominantly coming from the third generation low energy flavor violation is further suppressed by a single parameter that dials the amount of violation in the up or down sector there is therefore a sharp limit in which there is no flavor violation in the down type quark sector which remarkably is favored when we fit for the flavor parameters this mechanism is used to eliminate the current rs flavor and cp problem even with a kaluzaklein scale as low as 2 tev our construction also suggests that economic supersymmetric and nonsupersymmetric strong dynamicbased flavor models may be built based on the same concepts | [['we', 'present', 'a', 'variant', 'of', 'the', 'warped', 'extra', 'dimension', 'randallsundrum', 'rs', 'framework', 'which', 'is', 'based', 'on', 'five', 'dimensional', '5d', 'minimal', 'flavor', 'violation', 'mfv', 'in', 'which', 'the', 'only', 'sources', 'of', 'flavor', 'breaking', 'are', 'two', '5d', 'anarchic', 'yukawa', 'matrices', 'the', 'yukawa', 'matrices', 'also', 'control', 'the', 'bulk', 'masses', 'which', 'are', 'responsible', 'for', 'the', 'resulting', 'flavor', 'structure', 'and', 'mass', 'hierarchy', 'in', 'the', 'low', 'energy', 'theory', 'an', 'interesting', 'result', 'of', 'this', 'setup', 'is', 'that', 'at', 'low', 'energies', 'the', 'theory', 'flows', 'to', 'next', 'to', 'mfv', 'model', 'where', 'flavor', 'violation', 'is', 'dominantly', 'coming', 'from', 'the', 'third', 'generation', 'low', 'energy', 'flavor', 'violation', 'is', 'further', 'suppressed', 'by', 'a', 'single', 'parameter', 'that', 'dials', 'the', 'amount', 'of', 'violation', 'in', 'the', 'up', 'or', 'down', 'sector', 'there', 'is', 'therefore', 'a', 'sharp', 'limit', 'in', 'which', 'there', 'is', 'no', 'flavor', 'violation', 'in', 'the', 'down', 'type', 'quark', 'sector', 'which', 'remarkably', 'is', 'favored', 'when', 'we', 'fit', 'for', 'the', 'flavor', 'parameters', 'this', 'mechanism', 'is', 'used', 'to', 'eliminate', 'the', 'current', 'rs', 'flavor', 'and', 'cp', 'problem', 'even', 'with', 'a', 'kaluzaklein', 'scale', 'as', 'low', 'as', '2', 'tev', 'our', 'construction', 'also', 'suggests', 'that', 'economic', 'supersymmetric', 'and', 'nonsupersymmetric', 'strong', 'dynamicbased', 'flavor', 'models', 'may', 'be', 'built', 'based', 'on', 'the', 'same', 'concepts']] | [-0.1014139402177145, 0.2339271436499732, -0.0029432950043343604, 0.1557789270001598, -0.08384385204392754, -0.1879150075302584, 0.08212161098014224, 0.27655748784153616, -0.22246130055095503, -0.30452170334059125, 0.09786585983907416, -0.22775395119184239, -0.06885863647093987, 0.10370707500696102, 0.00520802296468998, -0.00016327021347189492, -0.0019470314734321545, 0.004509235107225371, -0.09522032878426387, -0.21114545325215728, 0.3190464917470746, 0.04802099949889443, 0.2730596623418325, 0.09797025490103957, 0.05484459670459762, -0.07293174674181656, 0.013592337245709277, -0.03063695871316016, -0.061821684683883195, 0.09044610613142763, 0.18404550187565266, 0.0932125668950319, 0.09864513557478985, -0.3825819553299384, -0.19059435027028324, 0.1618463881537916, 0.1366829699637458, 0.1395559702659982, -0.08032145806747604, -0.26867916430520977, 0.09498348690439912, -0.20059966331566959, -0.14194909723495497, -0.06767196334988118, -0.047334144297827854, -0.1405571403709006, -0.3430426254894032, 0.1154569827320856, 0.0009643709521123114, -0.005441081062716278, 0.01968144337686506, -0.13111310325722325, -0.06503385732841882, 0.019021970307066, 0.18481349057510477, 0.029472357017625583, 0.10977291560546311, -0.16073393577419223, -0.14139589138657732, 0.4349879450861982, -0.06234378245395215, -0.21367316911424097, 0.18303311274531373, -0.16112168114084532, -0.20976295425521738, 0.100220551593528, 0.17159358695906432, 0.07406178791882759, -0.1714720955401949, 0.190445270906962, -0.0883785381628061, 0.19753795489668846, 0.07275596379556439, 0.07100153630437518, 0.24213806435684948, 0.205731910008459, 0.07871233687591664, 0.046820263052110206, -0.05657127609894795, -0.09110660592273356, -0.40380858039274253, -0.09655014235282909, -0.1208112473751513, 0.08018300402660501, -0.13057721964493554, -0.1015590524190743, 0.4081075209750729, 0.09938038192361962, 0.1891542457512276, 0.015607865196702514, 0.258575893099355, 0.08295505821772099, 0.11744751370347598, 0.05991868382907487, 0.28889809701813357, 0.09571680615476785, 0.12370429172200514, -0.2508818588884458, -0.014924181429768868, 0.10877822818767459] |
710.187 | Lossless Representation of Graphs using Distributions | We consider complete graphs with edge weights and/or node weights taking
values in some set. In the first part of this paper, we show that a large
number of graphs are completely determined, up to isomorphism, by the
distribution of their sub-triangles. In the second part, we propose graph
representations in terms of one-dimensional distributions (e.g., distribution
of the node weights, sum of adjacent weights, etc.). For the case when the
weights of the graph are real-valued vectors, we show that all graphs, except
for a set of measure zero, are uniquely determined, up to isomorphism, from
these distributions. The motivating application for this paper is the problem
of browsing through large sets of graphs.
| math.CO cs.CV | we consider complete graphs with edge weights andor node weights taking values in some set in the first part of this paper we show that a large number of graphs are completely determined up to isomorphism by the distribution of their subtriangles in the second part we propose graph representations in terms of onedimensional distributions eg distribution of the node weights sum of adjacent weights etc for the case when the weights of the graph are realvalued vectors we show that all graphs except for a set of measure zero are uniquely determined up to isomorphism from these distributions the motivating application for this paper is the problem of browsing through large sets of graphs | [['we', 'consider', 'complete', 'graphs', 'with', 'edge', 'weights', 'andor', 'node', 'weights', 'taking', 'values', 'in', 'some', 'set', 'in', 'the', 'first', 'part', 'of', 'this', 'paper', 'we', 'show', 'that', 'a', 'large', 'number', 'of', 'graphs', 'are', 'completely', 'determined', 'up', 'to', 'isomorphism', 'by', 'the', 'distribution', 'of', 'their', 'subtriangles', 'in', 'the', 'second', 'part', 'we', 'propose', 'graph', 'representations', 'in', 'terms', 'of', 'onedimensional', 'distributions', 'eg', 'distribution', 'of', 'the', 'node', 'weights', 'sum', 'of', 'adjacent', 'weights', 'etc', 'for', 'the', 'case', 'when', 'the', 'weights', 'of', 'the', 'graph', 'are', 'realvalued', 'vectors', 'we', 'show', 'that', 'all', 'graphs', 'except', 'for', 'a', 'set', 'of', 'measure', 'zero', 'are', 'uniquely', 'determined', 'up', 'to', 'isomorphism', 'from', 'these', 'distributions', 'the', 'motivating', 'application', 'for', 'this', 'paper', 'is', 'the', 'problem', 'of', 'browsing', 'through', 'large', 'sets', 'of', 'graphs']] | [-0.13667309247767148, 0.10765341999738112, -0.0055122675131196565, 0.00455226082779953, -0.06983555587332534, -0.07038638981757686, 0.06265752854271103, 0.4052829548311622, -0.3406556949991247, -0.29902063176926713, 0.10058474139431896, -0.30117987833269266, -0.1465187068461724, 0.12831142169787832, -0.07096699077595511, 0.04489006791580165, 0.11209205224624147, 0.0848362244139223, -0.015666284233979557, -0.27118716940091436, 0.4126462072134018, -0.028065150020563083, 0.21420192447612468, 0.04771111389703077, 0.08930807932679866, 0.024774606505651837, -0.05024952164081776, 0.04104364073794821, -0.11475359452749177, 0.14110932793852915, 0.25142826902801574, 0.12628024431836346, 0.25691918772240374, -0.37720508331675895, -0.1506174863356611, 0.20771031478500884, 0.11959126016527476, 0.0845419942603811, 0.02071607091828533, -0.24084833571889802, 0.15674831471912076, -0.149416673215835, -0.060885114319946455, -0.059319066507336884, 0.042404018046901276, 0.07260962050894032, -0.28368153485429026, 0.007689441262703875, 0.06389294238356144, 0.04634710662876782, -0.043353431702227045, -0.14818542947911698, -0.003079173584347186, 0.16877139593277168, -0.0019714448914822675, -0.013633223898384882, 0.042947513209250957, -0.1477205964817625, -0.13809560827465486, 0.37900153925723357, -0.017318007208244956, -0.217924447836982, 0.11449692038738209, -0.16871729744193348, -0.16645831716773302, 0.08299416063920312, 0.16957934856333812, 0.1388565712183228, -0.13018450859147024, 0.08409922675270101, -0.07236287397049043, 0.07112825113100647, 0.08347895292403257, 0.015292674578402353, 0.16317702898877146, 0.10542333184174546, 0.10814325422372507, 0.21515239506716963, -0.03883724985644221, -0.04009832761290929, -0.3276446179851242, -0.11853822810048967, -0.246538886479507, 0.022566826017978398, -0.15031912208170348, -0.1949108459379362, 0.4547852123561113, 0.13235232840980524, 0.28997888167024305, 0.14371310444143803, 0.22578415779153937, 0.11064173606776065, 0.06099539505135592, 0.12792429410569045, 0.13766574485394498, 0.11941297363044451, 0.014282664254753162, -0.11814887805705201, 0.07472970938391012, 0.08533272709211577] |
710.1871 | Entanglement entropy and multifractality at localization transitions | The von Neumann entanglement entropy is a useful measure to characterize a
quantum phase transition. We investigate the non-analyticity of this entropy at
disorder-dominated quantum phase transitions in non-interacting electronic
systems. At these critical points, the von Neumann entropy is determined by the
single particle wave function intensity which exhibits complex scale invariant
fluctuations. We find that the concept of multifractality is naturally suited
for studying von Neumann entropy of the critical wave functions. Our numerical
simulations of the three dimensional Anderson localization transition and the
integer quantum Hall plateau transition show that the entanglement at these
transitions is well described using multifractal analysis.
| cond-mat.mes-hall cond-mat.dis-nn | the von neumann entanglement entropy is a useful measure to characterize a quantum phase transition we investigate the nonanalyticity of this entropy at disorderdominated quantum phase transitions in noninteracting electronic systems at these critical points the von neumann entropy is determined by the single particle wave function intensity which exhibits complex scale invariant fluctuations we find that the concept of multifractality is naturally suited for studying von neumann entropy of the critical wave functions our numerical simulations of the three dimensional anderson localization transition and the integer quantum hall plateau transition show that the entanglement at these transitions is well described using multifractal analysis | [['the', 'von', 'neumann', 'entanglement', 'entropy', 'is', 'a', 'useful', 'measure', 'to', 'characterize', 'a', 'quantum', 'phase', 'transition', 'we', 'investigate', 'the', 'nonanalyticity', 'of', 'this', 'entropy', 'at', 'disorderdominated', 'quantum', 'phase', 'transitions', 'in', 'noninteracting', 'electronic', 'systems', 'at', 'these', 'critical', 'points', 'the', 'von', 'neumann', 'entropy', 'is', 'determined', 'by', 'the', 'single', 'particle', 'wave', 'function', 'intensity', 'which', 'exhibits', 'complex', 'scale', 'invariant', 'fluctuations', 'we', 'find', 'that', 'the', 'concept', 'of', 'multifractality', 'is', 'naturally', 'suited', 'for', 'studying', 'von', 'neumann', 'entropy', 'of', 'the', 'critical', 'wave', 'functions', 'our', 'numerical', 'simulations', 'of', 'the', 'three', 'dimensional', 'anderson', 'localization', 'transition', 'and', 'the', 'integer', 'quantum', 'hall', 'plateau', 'transition', 'show', 'that', 'the', 'entanglement', 'at', 'these', 'transitions', 'is', 'well', 'described', 'using', 'multifractal', 'analysis']] | [-0.1525909855084207, 0.23284722031810537, -0.1153969500043716, 0.09299657138203307, 0.058231676319757335, -0.1866171562780017, 0.003863036419856004, 0.2682535574780419, -0.273408075937858, -0.1832011206424795, 0.068442196369198, -0.34536047666691816, -0.16096065168340618, 0.15493521251594827, 0.010747667652769731, 0.1612837029567275, 0.015384284309290636, 0.047454858758450985, -0.12892561609959768, -0.15149400299056792, 0.3833893322242567, 0.026887271232016455, 0.33005342988942105, 0.08443157049791458, 0.045501991716894105, -0.014646560007419724, 0.0497665809145054, 0.06729517971353534, -0.21105723409052118, 0.014120786594083676, 0.2856536121712102, 0.028044925402634993, 0.2312666578218341, -0.3494103429928565, -0.24660306627181575, 0.09547715796865165, 0.10188353100182632, 0.10978122382724766, 0.0071280540701431725, -0.3368201900022821, 0.0047064160014717625, -0.15752758061549124, -0.1311124239090042, -0.11468961677858786, 0.024775286733459394, -0.04708062949626205, -0.2394905652506098, 0.183187545895075, 0.04218956237141706, 0.1046021603531419, -0.016119741149640713, -0.009860459777813118, -0.0385112226045189, 0.10423247292391562, -0.05322594603953453, 0.004197481401766149, 0.1754497082393545, -0.07776221714539133, -0.14868945912278902, 0.33499062919201184, -0.03546938967729847, -0.13224653084846347, 0.1902633083339494, -0.23067549641620225, -0.1164349160479525, 0.1101957641613598, 0.07287325133354618, 0.06151965928550523, -0.07107902311970694, 0.07637185713478035, -0.0010415791696756899, 0.14974369134870358, 0.03018582375191797, 0.06407711388937269, 0.23076235273709664, 0.1119949155075189, 0.05376525135132117, 0.23005037396573103, -0.07396300292412679, -0.1729855939092186, -0.31554154119490146, -0.2174725617537311, -0.30622154390528944, 0.09857746086261333, -0.10603273016959765, -0.23018777672237214, 0.4107428838839181, 0.14019123852295495, 0.16932879243260965, 0.03808098628808064, 0.22058280145015138, 0.23377862379801137, 0.007149451323829663, 0.0669656928243617, 0.21800285792694643, 0.14638175887431806, 0.1428528126830665, -0.3220572525841327, 0.01384620309377519, 0.13482432472161376] |
710.1872 | Constraining the Mass Profiles of Stellar Systems: Schwarzschild
Modeling of Discrete Velocity Datasets | (ABRIDGED) We present a new Schwarzschild orbit-superposition code designed
to model discrete datasets composed of velocities of individual kinematic
tracers in a dynamical system. This constitutes an extension of previous
implementations that can only address continuous data in the form of (the
moments of) velocity distributions, thus avoiding potentially important losses
of information due to data binning. Furthermore, the code can handle any
combination of available velocity components, i.e., only line-of-sight
velocities, only proper motions, or a combination of both. It can also handle a
combination of discrete and continuous data. The code finds the distribution
function (DF, a function of the three integrals of motion E, Lz, and I3) that
best reproduces the available kinematic and photometric observations in a given
axisymmetric gravitational potential. The fully numerical approach ensures
considerable freedom on the form of the DF f(E,Lz,I3). This allows a very
general modeling of the orbital structure, thus avoiding restrictive
assumptions about the degree of (an)isotropy of the orbits. We describe the
implementation of the discrete code and present a series of tests of its
performance based on the modeling of simulated datasets generated from a known
DF. We find that the discrete Schwarzschild code recovers the original orbital
structure, M/L ratios, and inclination of the input datasets to satisfactory
accuracy, as quantified by various statistics. The code will be valuable, e.g.,
for modeling stellar motions in Galactic globular clusters, and those of
individual stars, planetary nebulae, or globular clusters in nearby galaxies.
This can shed new light on the total mass distributions of these systems, with
central black holes and dark matter halos being of particular interest.
| astro-ph | abridged we present a new schwarzschild orbitsuperposition code designed to model discrete datasets composed of velocities of individual kinematic tracers in a dynamical system this constitutes an extension of previous implementations that can only address continuous data in the form of the moments of velocity distributions thus avoiding potentially important losses of information due to data binning furthermore the code can handle any combination of available velocity components ie only lineofsight velocities only proper motions or a combination of both it can also handle a combination of discrete and continuous data the code finds the distribution function df a function of the three integrals of motion e lz and i3 that best reproduces the available kinematic and photometric observations in a given axisymmetric gravitational potential the fully numerical approach ensures considerable freedom on the form of the df felzi3 this allows a very general modeling of the orbital structure thus avoiding restrictive assumptions about the degree of anisotropy of the orbits we describe the implementation of the discrete code and present a series of tests of its performance based on the modeling of simulated datasets generated from a known df we find that the discrete schwarzschild code recovers the original orbital structure ml ratios and inclination of the input datasets to satisfactory accuracy as quantified by various statistics the code will be valuable eg for modeling stellar motions in galactic globular clusters and those of individual stars planetary nebulae or globular clusters in nearby galaxies this can shed new light on the total mass distributions of these systems with central black holes and dark matter halos being of particular interest | [['abridged', 'we', 'present', 'a', 'new', 'schwarzschild', 'orbitsuperposition', 'code', 'designed', 'to', 'model', 'discrete', 'datasets', 'composed', 'of', 'velocities', 'of', 'individual', 'kinematic', 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710.1873 | The scalar perturbation spectral index n_s: WMAP sensitivity to
unresolved point sources | Precision measurement of the scalar perturbation spectral index, n_s, from
the Wilkinson Microwave Anisotropy Probe temperature angular power spectrum
requires the subtraction of unresolved point source power. Here we reconsider
this issue. First, we note a peculiarity in the WMAP temperature likelihood's
response to the source correction: Cosmological parameters do not respond to
increased source errors. An alternative and more direct method for treating
this error term acts more sensibly, and also shifts n_s by ~0.3 sigma closer to
unity. Second, we re-examine the source fit used to correct the power spectrum.
This fit depends strongly on the galactic cut and the weighting of the map,
indicating that either the source population or masking procedure is not
isotropic. Jackknife tests appear inconsistent, causing us to assign large
uncertainties to account for possible systematics. Third, we note that the WMAP
team's spectrum was computed with two different weighting schemes: uniform
weights transition to inverse noise variance weights at l = 500. The fit
depends on such weighting schemes, so different corrections apply to each
multipole range. For the Kp2 mask used in cosmological analysis, we prefer
source corrections A = 0.012 +/- 0.005 muK^2 for uniform weighting and A =
0.015 +/- 0.005 muK^2 for N_obs weighting. Correcting WMAP's spectrum
correspondingly, we compute cosmological parameters with our alternative
likelihood, finding n_s = 0.970 +/- 0.017 and sigma_8 = 0.778 +/- 0.045 . This
n_s is only 1.8 sigma from unity, compared to the ~2.6 sigma WMAP 3-year
result. Finally, an anomalous feature in the source spectrum at l<200 remains,
most strongly associated with W-band.
| astro-ph | precision measurement of the scalar perturbation spectral index n_s from the wilkinson microwave anisotropy probe temperature angular power spectrum requires the subtraction of unresolved point source power here we reconsider this issue first we note a peculiarity in the wmap temperature likelihoods response to the source correction cosmological parameters do not respond to increased source errors an alternative and more direct method for treating this error term acts more sensibly and also shifts n_s by 03 sigma closer to unity second we reexamine the source fit used to correct the power spectrum this fit depends strongly on the galactic cut and the weighting of the map indicating that either the source population or masking procedure is not isotropic jackknife tests appear inconsistent causing us to assign large uncertainties to account for possible systematics third we note that the wmap teams spectrum was computed with two different weighting schemes uniform weights transition to inverse noise variance weights at l 500 the fit depends on such weighting schemes so different corrections apply to each multipole range for the kp2 mask used in cosmological analysis we prefer source corrections a 0012 0005 muk2 for uniform weighting and a 0015 0005 muk2 for n_obs weighting correcting wmaps spectrum correspondingly we compute cosmological parameters with our alternative likelihood finding n_s 0970 0017 and sigma_8 0778 0045 this n_s is only 18 sigma from unity compared to the 26 sigma wmap 3year result finally an anomalous feature in the source spectrum at l200 remains most strongly associated with wband | [['precision', 'measurement', 'of', 'the', 'scalar', 'perturbation', 'spectral', 'index', 'n_s', 'from', 'the', 'wilkinson', 'microwave', 'anisotropy', 'probe', 'temperature', 'angular', 'power', 'spectrum', 'requires', 'the', 'subtraction', 'of', 'unresolved', 'point', 'source', 'power', 'here', 'we', 'reconsider', 'this', 'issue', 'first', 'we', 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710.1874 | Soft probes of high density QCD physics with CMS | The CMS heavy-ion program will probe QCD matter under extreme conditions. Its
capabilities for the study of global observables and soft probes are described.
| nucl-ex | the cms heavyion program will probe qcd matter under extreme conditions its capabilities for the study of global observables and soft probes are described | [['the', 'cms', 'heavyion', 'program', 'will', 'probe', 'qcd', 'matter', 'under', 'extreme', 'conditions', 'its', 'capabilities', 'for', 'the', 'study', 'of', 'global', 'observables', 'and', 'soft', 'probes', 'are', 'described']] | [-0.09819585511771341, 0.22603791688258448, -0.22033675534961125, 0.15836598739648858, -0.03191337554987209, -0.09403007219467933, -0.0907842389230306, 0.32935464459781844, -0.22504120118295154, -0.2936658753703038, 0.12887190266822776, -0.27491600896852714, 0.05048803969596823, 0.1670422504345576, 0.03725851816125214, 0.1604644484250457, 0.09450297655227284, -0.00963790287884573, -0.09795565588865429, -0.19306372051748136, 0.26183406556568417, 0.14998726802878082, 0.20749851193007393, 0.1322081891776179, 0.06695543051076432, 0.05681921369008099, -0.09501620184164494, 0.03938846535553845, -0.17601571538640806, -0.008938185560206572, 0.2695136605761945, 0.16294123968691565, 0.12559403707079278, -0.4632734525948763, -0.1592880696601545, 0.14795110277676335, 0.031593903491739184, 0.026128827904661495, -0.038061924007100366, -0.31597102837016183, 0.11064427144204576, -0.16823317230834314, -0.22288908658083528, -0.18584685458336025, -0.09822296413282554, -0.011206219554878771, -0.3062128942304601, 0.020916826867808897, -0.06941757972041766, 0.011354032593468824, -0.04795135866637187, -0.1035934694421788, -0.03721795064241936, 0.029966966258749988, 0.06614023835087816, 0.017365992719229933, 0.2851164429448545, -0.3046537732006982, -0.15583860129117966, 0.4099040193638454, 0.02509480311224858, -0.057003427374487124, 0.24788448169905072, -0.1992102258373052, -0.21150666783796623, 0.06423215987160802, 0.21029821754867348, 0.10147149992796282, -0.25777337797141325, 0.15520745919184264, -0.028421847557183355, 0.0950295429987212, 0.030273240236662485, 0.1722074597297857, 0.31859030767615576, 0.2275058034962664, 0.03278504820385327, 0.1079780258393536, -0.05515812166898589, -0.0442831959517207, -0.43978887957443175, -0.037641104155530535, -0.11670318944379687, -0.03889264818280935, -0.07424719196994072, -0.04913877292225758, 0.37985405065895367, 0.10835776594467461, 0.1599370694408814, -0.05794029990405155, 0.3052223133854568, 0.03730803328411033, -0.02648661380711322, 0.009389052206339935, 0.36098293696219724, 0.15814573247916996, 0.22873438448489955, -0.2803391572088003, 0.010374220262747258, 0.07965262727035831] |
710.1875 | Dissipative Strong-Field Electrodynamics | A dissipative Lorentz-covariant Ohm's law which uses only the electromagnetic
degrees of freedom is proposed. For large conductivity, Maxwell equations
equipped with this Ohm's law reduce to the equations of Force-Free
Electrodynamics (FFE) with small dissipative corrections, but only in the
regions where the ideal FFE 4-current is space-like. This might indicate that
the pulsar emission comes primarily from the magnetic separartrix.
| astro-ph | a dissipative lorentzcovariant ohms law which uses only the electromagnetic degrees of freedom is proposed for large conductivity maxwell equations equipped with this ohms law reduce to the equations of forcefree electrodynamics ffe with small dissipative corrections but only in the regions where the ideal ffe 4current is spacelike this might indicate that the pulsar emission comes primarily from the magnetic separartrix | [['a', 'dissipative', 'lorentzcovariant', 'ohms', 'law', 'which', 'uses', 'only', 'the', 'electromagnetic', 'degrees', 'of', 'freedom', 'is', 'proposed', 'for', 'large', 'conductivity', 'maxwell', 'equations', 'equipped', 'with', 'this', 'ohms', 'law', 'reduce', 'to', 'the', 'equations', 'of', 'forcefree', 'electrodynamics', 'ffe', 'with', 'small', 'dissipative', 'corrections', 'but', 'only', 'in', 'the', 'regions', 'where', 'the', 'ideal', 'ffe', '4current', 'is', 'spacelike', 'this', 'might', 'indicate', 'that', 'the', 'pulsar', 'emission', 'comes', 'primarily', 'from', 'the', 'magnetic', 'separartrix']] | [-0.18054450786916815, 0.14829845634884523, -0.03676503444792795, 0.013279138774168297, -0.15752875178166834, -0.16048589955679463, -0.038021965105979716, 0.22344675232641031, -0.2122192993973855, -0.2858125684843933, -0.016017648629981597, -0.2843871657110629, -0.08041418160571427, 0.18405952073822607, -0.04219548074436969, 0.007563119723660047, -0.01615600384290895, -0.02412460945913049, -0.022169857243930953, -0.14962543861450986, 0.312240587379478, 0.07611492045651205, 0.23856685814432432, -0.019062377084962657, 0.16652451070850013, -0.09224539399757738, 0.02328612340125637, 0.0879340223418396, -0.05274685355130923, 0.04180003891958565, 0.22490978106612064, -0.018328748059413227, 0.21375028572243746, -0.44192557249096087, -0.23323398333836776, 0.016766718504797728, 0.09447997688224204, 0.11455174624637442, 0.008530114533104857, -0.2620480025614627, 0.020725175585658825, -0.17693375331181727, -0.20257476756929374, -0.04029293715587405, 0.017823226505615672, 0.017874670848555742, -0.29064204513293795, 0.1447620196878666, 0.0824600138575541, 0.03019368825633018, -0.07888293546838228, -0.07177183196162347, -0.006312557625904923, 0.025057493701393974, 0.07887305720846673, 0.023909657537082178, 0.16775623265440104, -0.17304518998249388, -0.035925954336025676, 0.4216416724575836, -0.042624813672460495, -0.23455573575662786, 0.13395967597111327, -0.26009281920116456, -0.09975614687847736, 0.2110887409672599, 0.11802077130032856, 0.10964190855085064, -0.18961291459434834, 0.1442537754468742, -0.05971361302816477, 0.18420552126452572, 0.017824616603797576, 0.024272542222609102, 0.23157410702255907, 0.056795908108574995, -0.009768001490929087, 0.14185820852757478, -0.06424980677786421, -0.12254755162313337, -0.40629479768456983, -0.15003392397288662, -0.18007551292415525, 0.17436129593702612, -0.1131769859699101, -0.185023292964019, 0.2876752658220405, 0.13935498133507848, 0.03587399997183534, 0.039447176722489055, 0.3375949225709087, 0.18258989405375523, 0.1513281843518136, 0.19219570309229073, 0.37499435300954054, 0.19883863388209558, 0.1812848122408766, -0.28328208847841646, -0.029683493810598968, 0.049916256066472806] |
710.1876 | A Possible Periodicity in the Radio Lightcurves of 3C454.3 | During the period 1966.5 - 2006.2 the 15GHz and 8GHz lightcurves of 3C454.3
(z=0.859) show a qsasi-periodicity of ~12.8 yr (~6.9 yr in the rest frame of
the source) with a double-bump structure. This periodic behaviour is
interpreted in terms of a rotating double-jet model in which the two jets are
created from the black holes in a binary system and rotate with the period of
the orbital motion. The periodic variations in the radio fluxes of 3C454.3 are
suggested to be mainly due to the lighthouse effects (or the variation in
Doppler boosting) of the precessing jets which are caused by the orbital
motion. In addition, variations in the mass-flow rates accreting onto the black
holes may be also involved.
| astro-ph | during the period 19665 20062 the 15ghz and 8ghz lightcurves of 3c4543 z0859 show a qsasiperiodicity of 128 yr 69 yr in the rest frame of the source with a doublebump structure this periodic behaviour is interpreted in terms of a rotating doublejet model in which the two jets are created from the black holes in a binary system and rotate with the period of the orbital motion the periodic variations in the radio fluxes of 3c4543 are suggested to be mainly due to the lighthouse effects or the variation in doppler boosting of the precessing jets which are caused by the orbital motion in addition variations in the massflow rates accreting onto the black holes may be also involved | [['during', 'the', 'period', '19665', '20062', 'the', '15ghz', 'and', '8ghz', 'lightcurves', 'of', '3c4543', 'z0859', 'show', 'a', 'qsasiperiodicity', 'of', '128', 'yr', '69', 'yr', 'in', 'the', 'rest', 'frame', 'of', 'the', 'source', 'with', 'a', 'doublebump', 'structure', 'this', 'periodic', 'behaviour', 'is', 'interpreted', 'in', 'terms', 'of', 'a', 'rotating', 'doublejet', 'model', 'in', 'which', 'the', 'two', 'jets', 'are', 'created', 'from', 'the', 'black', 'holes', 'in', 'a', 'binary', 'system', 'and', 'rotate', 'with', 'the', 'period', 'of', 'the', 'orbital', 'motion', 'the', 'periodic', 'variations', 'in', 'the', 'radio', 'fluxes', 'of', '3c4543', 'are', 'suggested', 'to', 'be', 'mainly', 'due', 'to', 'the', 'lighthouse', 'effects', 'or', 'the', 'variation', 'in', 'doppler', 'boosting', 'of', 'the', 'precessing', 'jets', 'which', 'are', 'caused', 'by', 'the', 'orbital', 'motion', 'in', 'addition', 'variations', 'in', 'the', 'massflow', 'rates', 'accreting', 'onto', 'the', 'black', 'holes', 'may', 'be', 'also', 'involved']] | [-0.16166945681746664, 0.17201115925402927, -0.05632774972362877, 0.0818886442816463, -0.048630009630116926, -0.038558059315807344, 0.021377637324019753, 0.3879155193873007, -0.22727250840900273, -0.33011730182273635, 0.13573615958287927, -0.259059512152754, -0.04581183188289789, 0.22825208674024405, -0.07890949345290146, -0.021867692734492173, 0.08392497750023252, -0.01509700427112844, -0.06911168181626447, -0.18826038839399878, 0.2663006435212647, 0.08059140768480198, 0.1681920514072709, -0.06430694503822075, 0.06638570856864981, -0.03979880260584619, -0.04098133647920772, -0.004049935450392036, -0.043646796298381904, 0.0770585095301142, 0.16541026980648266, 0.081305175313148, 0.18109799212056557, -0.37787930754109705, -0.2115298175566091, 0.03844914436019186, 0.1345891211430767, 0.07715918943245799, -0.035804687758329616, -0.2835912222418019, 0.05857496400733061, -0.22432544021385498, -0.14172263506494848, 0.06751227118717186, 0.08778222007847568, 0.06682538661648166, -0.21028788827594513, 0.1215167308027017, 0.07843675968590481, 0.030483812479109598, -0.15352424728114095, -0.027268919430408177, -0.061501631099762845, 0.08459139433047123, 0.128342936751794, 0.0851826071578624, 0.12494866245281722, -0.08206015192815264, -0.1282091024010603, 0.4082903912820821, -0.092618142172357, -0.13870872131645165, 0.179961456351207, -0.23296279186415003, -0.11465829083342748, 0.2047240089560891, 0.1945961210475271, 0.14231858616654663, -0.15752132847987452, -0.00701595708057445, 0.017571877840713693, 0.19507851064052625, 0.09849838598968526, 0.06643788441754717, 0.352587982233421, 0.10066347251192602, -0.04435599423093914, 0.15343402007169188, -0.2211104596153432, -0.0693155038652235, -0.24054684536531568, -0.07574860403988638, -0.12233080220376623, 0.07395176267339687, -0.08472406109850171, -0.13076474964177107, 0.40989650961750285, 0.07900431571660788, 0.2423658562374526, -0.04442718514775183, 0.2531047926301559, 0.09808424377316159, 0.0696963137028245, 0.14221256720865594, 0.3417465064939561, 0.11239186306644616, 0.13980848035887525, -0.26544042944241764, 0.060539640570541134, 0.03358412564507332] |
710.1877 | Number of Bound States of Schroedinger Operators with Matrix-Valued
Potentials | We give a CLR type bound on the number of bound states of Schroedinger
operators with matrix-valued potentials using the functional integral method of
Lieb. This significantly improves the constant in this inequality obtained
earlier by Hundertmark.
| math-ph math.MP | we give a clr type bound on the number of bound states of schroedinger operators with matrixvalued potentials using the functional integral method of lieb this significantly improves the constant in this inequality obtained earlier by hundertmark | [['we', 'give', 'a', 'clr', 'type', 'bound', 'on', 'the', 'number', 'of', 'bound', 'states', 'of', 'schroedinger', 'operators', 'with', 'matrixvalued', 'potentials', 'using', 'the', 'functional', 'integral', 'method', 'of', 'lieb', 'this', 'significantly', 'improves', 'the', 'constant', 'in', 'this', 'inequality', 'obtained', 'earlier', 'by', 'hundertmark']] | [-0.11478105043942058, 0.08083550531316448, -0.0829995033406728, 0.03937179169214859, -0.03871263664945759, -0.15881043510209467, 0.09105464116342969, 0.272859184625181, -0.19352620120185451, -0.3225953774778424, 0.04466245247592294, -0.2553073301709987, -0.16955852271938646, 0.20144887258474892, -0.04710414514851731, 0.07506294996553176, 0.06523560329868987, 0.04673701464324384, -0.08611248504697673, -0.31359826103859656, 0.38426140816630544, 0.012444553846443022, 0.22014591641522743, 0.1072687805579925, 0.02240834231614261, 0.06101938725977733, 0.003928868452439437, -0.0424559142541241, -0.16883305766040813, 0.24959840363590047, 0.1599656160279001, 0.08820779489453982, 0.26412639857546705, -0.4207604236120509, -0.21694327489397414, 0.09507487792320349, 0.1313346494807283, 0.06945770946205468, -0.034594180027803255, -0.37524747566596883, -0.0132908054652649, -0.14545183447567192, -0.19456792785786092, -0.06417850077756353, -0.010820110101957579, 0.05250678304582834, -0.28657189801939437, 0.18820252263213735, 0.0780004879610764, 0.012663532400856147, -0.14754904331198918, -0.17477038250984372, 0.061054433469434045, -0.001467759267905274, -0.036918497952708115, 0.04680183080553606, 0.042918650446006575, -0.06258169146305001, -0.13343669172074343, 0.22811740443009781, -0.13244282104377006, -0.2579860690779783, 0.10935757379676844, -0.1434632193020268, -0.13801625695683667, 0.054550872838779074, 0.09088995710418031, 0.15730118061843756, -0.10726004780657161, 0.1974237719928292, -0.11785208490500981, 0.10548774541884258, 0.09224034352479754, 0.047214903046748274, -0.02786082661131749, 0.07237289246876498, 0.14297494952365555, 0.1744549436670904, 0.03270300052984542, -0.04904868501565746, -0.30894017400773793, -0.1451977687868969, -0.2583248991821263, 0.08586474258855388, -0.1206516325977203, -0.15754970283927144, 0.38200973034710495, 0.06457485787167742, 0.1861383471940015, 0.12814973508687438, 0.18573575245367513, 0.2006805904360639, 0.09423642513040151, 0.07477126049028861, 0.22685719200888196, 0.17626322433981742, 0.08866582361578539, -0.20446369749166676, -0.010185648347376971, 0.23772643101275773] |
710.1878 | \rho D^*D^* vertex from QCD sum rules | We calculate the form factors and the coupling constant in the $\rho D^* D^*$
vertex in the framework of QCD sum rules. We evaluate the three point
correlation functions of the vertex considering both $\rho$ and $D^*$ mesons
off--shell. The form factors obtained are very different but give the same
coupling constant: $g_{\rho D^* D^*} = 6.6 \pm 0.31$. This number is 50% larger
than what we would expect from SU(4) estimates.
| hep-ph | we calculate the form factors and the coupling constant in the rho d d vertex in the framework of qcd sum rules we evaluate the three point correlation functions of the vertex considering both rho and d mesons offshell the form factors obtained are very different but give the same coupling constant g_rho d d 66 pm 031 this number is 50 larger than what we would expect from su4 estimates | [['we', 'calculate', 'the', 'form', 'factors', 'and', 'the', 'coupling', 'constant', 'in', 'the', 'rho', 'd', 'd', 'vertex', 'in', 'the', 'framework', 'of', 'qcd', 'sum', 'rules', 'we', 'evaluate', 'the', 'three', 'point', 'correlation', 'functions', 'of', 'the', 'vertex', 'considering', 'both', 'rho', 'and', 'd', 'mesons', 'offshell', 'the', 'form', 'factors', 'obtained', 'are', 'very', 'different', 'but', 'give', 'the', 'same', 'coupling', 'constant', 'g_rho', 'd', 'd', '66', 'pm', '031', 'this', 'number', 'is', '50', 'larger', 'than', 'what', 'we', 'would', 'expect', 'from', 'su4', 'estimates']] | [-0.18121044197067304, 0.18293586204117032, -0.0671860251549474, 0.08616343109120786, -0.028676869905173357, -0.1841555604527534, 0.0904413466669724, 0.3357310761553301, -0.20549461200938257, -0.28024925627339053, -0.0030569816608732882, -0.3358559500373585, -0.08205622422482661, 0.06582468157817781, 0.07985818081758392, 0.012962989023768566, 0.023345463659981608, 0.09163654604795533, -0.10134160813127815, -0.24476764622655972, 0.2856758991912217, -0.0691760402356445, 0.21162561891259443, 0.1291737095256087, 0.016979797012795707, 0.009957814471087826, -0.06055623285052642, -0.01793416357979598, -0.17673379694387106, 0.07304532442268141, 0.18506996863862682, 0.10419328383524233, 0.19180499531433615, -0.33734018734695626, -0.100279227823911, 0.10625095703494801, 0.14888353965205836, 0.06890712568247823, 0.0852062661515575, -0.22030794469665893, 0.0933475297118183, -0.18658085945259098, -0.1355836043580317, -0.061891077584783794, 0.08515488826604166, -0.0799564479810881, -0.31459920247360856, 0.08773496122637266, -0.01919745416446051, 0.020815862539473554, -0.046829322821946004, -0.30284447800105724, 0.006617116017109701, 0.10308166336215718, 0.05623111262930636, 0.14291609110127032, 0.12155671119296425, -0.18010295796260142, -0.0738297002267053, 0.4160536869074887, -0.1004700679571817, -0.20980261987678603, 0.12191127980468978, -0.22848757129477362, -0.10056350986197801, 0.11575915155158391, 0.16155242217494778, 0.13056601923693653, -0.15113461224860708, 0.09842277552873473, -0.04604159861566945, 0.1390412337573829, 0.10254329123573613, 0.0661307915809079, 0.11004261667249908, 0.07923697297212104, -0.0037787093479238767, 0.09255823647787034, -0.06121923778415986, -0.04410153848748707, -0.36846366529943236, -0.07394249142396828, -0.13535377891196437, 0.13449578824072655, -0.2133902180542297, -0.05583164412003588, 0.34454982443778237, 0.07051557995720019, 0.27199725297150124, 0.07862605405053202, 0.20512514859175598, 0.12756534151627985, 0.09208629648922614, 0.12726330168833824, 0.26477495789803357, 0.15054511416598526, 0.019714564235854735, -0.23480647315048206, 0.02723822083560304, 0.07233235097004914] |
710.1879 | Cyclotomic FFTs with Reduced Additive Complexities Based on a Novel
Common Subexpression Elimination Algorithm | In this paper, we first propose a novel common subexpression elimination
(CSE) algorithm for matrix-vector multiplications over characteristic-2 fields.
As opposed to previously proposed CSE algorithms, which usually focus on
complexity savings due to recurrences of subexpressions, our CSE algorithm
achieves two types of complexity reductions, differential savings and
recurrence savings, by taking advantage of the cancelation property of
characteristic-2 fields. Using our CSE algorithm, we reduce the additive
complexities of cyclotomic fast Fourier transforms (CFFTs). Using a weighted
sum of the numbers of multiplications and additions as a metric, our CFFTs
achieve smaller total complexities than previously proposed CFFTs and other
FFTs, requiring both fewer multiplications and fewer additions in many cases.
| cs.IT cs.CC math.CO math.IT | in this paper we first propose a novel common subexpression elimination cse algorithm for matrixvector multiplications over characteristic2 fields as opposed to previously proposed cse algorithms which usually focus on complexity savings due to recurrences of subexpressions our cse algorithm achieves two types of complexity reductions differential savings and recurrence savings by taking advantage of the cancelation property of characteristic2 fields using our cse algorithm we reduce the additive complexities of cyclotomic fast fourier transforms cffts using a weighted sum of the numbers of multiplications and additions as a metric our cffts achieve smaller total complexities than previously proposed cffts and other ffts requiring both fewer multiplications and fewer additions in many cases | [['in', 'this', 'paper', 'we', 'first', 'propose', 'a', 'novel', 'common', 'subexpression', 'elimination', 'cse', 'algorithm', 'for', 'matrixvector', 'multiplications', 'over', 'characteristic2', 'fields', 'as', 'opposed', 'to', 'previously', 'proposed', 'cse', 'algorithms', 'which', 'usually', 'focus', 'on', 'complexity', 'savings', 'due', 'to', 'recurrences', 'of', 'subexpressions', 'our', 'cse', 'algorithm', 'achieves', 'two', 'types', 'of', 'complexity', 'reductions', 'differential', 'savings', 'and', 'recurrence', 'savings', 'by', 'taking', 'advantage', 'of', 'the', 'cancelation', 'property', 'of', 'characteristic2', 'fields', 'using', 'our', 'cse', 'algorithm', 'we', 'reduce', 'the', 'additive', 'complexities', 'of', 'cyclotomic', 'fast', 'fourier', 'transforms', 'cffts', 'using', 'a', 'weighted', 'sum', 'of', 'the', 'numbers', 'of', 'multiplications', 'and', 'additions', 'as', 'a', 'metric', 'our', 'cffts', 'achieve', 'smaller', 'total', 'complexities', 'than', 'previously', 'proposed', 'cffts', 'and', 'other', 'ffts', 'requiring', 'both', 'fewer', 'multiplications', 'and', 'fewer', 'additions', 'in', 'many', 'cases']] | [-0.1328251924926201, 0.00710679241868181, -0.04426198458068271, 0.03485976123823825, -0.10256901875434987, -0.1128389759739218, 0.1002394838796401, 0.3766403572089904, -0.28574877709925045, -0.3558376781329249, 0.11022171226074606, -0.1957793069459432, -0.21379253752859292, 0.2313616555266544, -0.13229791684059705, 0.08078501452650644, 0.05770150032121095, -0.001764806420171419, -0.14544705791497783, -0.40087395149439703, 0.21841304039632062, 0.055712658495732904, 0.22834635135692966, -0.07189630691489551, 0.10409867936596934, -0.025919629623536514, -0.07699504627359915, -0.03046216454811302, 0.02415063979714054, 0.15748721929843976, 0.25058956661434695, 0.16464010337202817, 0.28891251674663704, -0.45041185069367684, -0.17934040467160037, 0.1069683707957939, 0.19915569637102626, 0.0670355221501807, -0.01675899267563415, -0.2240235839014362, 0.08416692532631939, -0.1843027883668768, -0.006854109874044636, -0.16356155854254237, -0.0050736629873909785, 0.034214238512568766, -0.29302664602636896, 0.047652159182898765, 0.09682310710298474, 0.07370508380596881, 0.005888721615125516, -0.24424150431800667, 0.08377398092060688, 0.05970015344251178, 0.03789320670117715, 0.0005700421381527476, 0.06225337827396867, -0.0991117066180383, -0.19006201234312348, 0.3740828504489191, -0.013728705142749334, -0.20964135794974534, 0.15391004173315864, -0.06230485747955673, -0.1390695312612616, 0.22896212284181233, 0.17529270893572707, 0.13663573298949452, -0.06322566560774515, 0.08826426226044057, -0.003227987326681614, 0.1738718324299671, 0.1562222079662359, 0.10335727331879656, 0.027010557365364733, 0.09883857800303834, 0.07233007402062433, 0.17181000822745016, -0.0514934023665017, -0.1078395032719503, -0.2382638561333307, -0.2127376426571766, -0.18160294059538323, -0.008639724760324555, -0.14943323689420188, -0.14576531253524322, 0.37521787113056776, 0.1307357270188168, 0.14979910633765756, 0.16351016029093282, 0.3801738600848259, 0.08291714722640911, 0.1742252037670892, 0.12229738305364035, 0.10370474518070706, 0.16155405306521045, 0.09201482453422653, -0.19888779731566267, 0.02483430811805667, 0.12660426962955862] |
710.188 | Operator Theory and Complex Geometry | One approach to multivariate operator theory involves concepts and techniques
from algebraic and complex geometry and is formulated in terms of Hilbert
modules. In these notes we provide an introduction to this approach including
many proofs. We are particularly interested in examples related to hermitian
holomorphic vector bundles and we study submodules and reducing submodules in
such cases. We go into some detail concerning a problem of Zhu on the reducing
subspaces of powers of the Bergman shift as well as more recent work of the
author and J. Sarkar on proper submodules which are unitarily equivalent to the
orginal. Although the basic results are not new, there is some novelty in the
details and the organization of the material.
| math.FA math.SP | one approach to multivariate operator theory involves concepts and techniques from algebraic and complex geometry and is formulated in terms of hilbert modules in these notes we provide an introduction to this approach including many proofs we are particularly interested in examples related to hermitian holomorphic vector bundles and we study submodules and reducing submodules in such cases we go into some detail concerning a problem of zhu on the reducing subspaces of powers of the bergman shift as well as more recent work of the author and j sarkar on proper submodules which are unitarily equivalent to the orginal although the basic results are not new there is some novelty in the details and the organization of the material | [['one', 'approach', 'to', 'multivariate', 'operator', 'theory', 'involves', 'concepts', 'and', 'techniques', 'from', 'algebraic', 'and', 'complex', 'geometry', 'and', 'is', 'formulated', 'in', 'terms', 'of', 'hilbert', 'modules', 'in', 'these', 'notes', 'we', 'provide', 'an', 'introduction', 'to', 'this', 'approach', 'including', 'many', 'proofs', 'we', 'are', 'particularly', 'interested', 'in', 'examples', 'related', 'to', 'hermitian', 'holomorphic', 'vector', 'bundles', 'and', 'we', 'study', 'submodules', 'and', 'reducing', 'submodules', 'in', 'such', 'cases', 'we', 'go', 'into', 'some', 'detail', 'concerning', 'a', 'problem', 'of', 'zhu', 'on', 'the', 'reducing', 'subspaces', 'of', 'powers', 'of', 'the', 'bergman', 'shift', 'as', 'well', 'as', 'more', 'recent', 'work', 'of', 'the', 'author', 'and', 'j', 'sarkar', 'on', 'proper', 'submodules', 'which', 'are', 'unitarily', 'equivalent', 'to', 'the', 'orginal', 'although', 'the', 'basic', 'results', 'are', 'not', 'new', 'there', 'is', 'some', 'novelty', 'in', 'the', 'details', 'and', 'the', 'organization', 'of', 'the', 'material']] | [-0.09356782087561441, 0.06644462460984263, -0.034113807852069536, 0.07240984176751226, -0.09153401053044945, -0.1054877581904293, -0.014725102900411003, 0.3714168146097412, -0.2872363330175479, -0.2267934785108082, 0.14292396823390544, -0.2700940799317323, -0.21385670896464337, 0.22466333538953526, -0.15286349245579914, 0.03833775668172166, 0.055049450354029736, 0.03655948863815865, -0.07540389279602096, -0.2920865789996848, 0.4002514956247372, 0.040953084248273326, 0.2073024791270048, 0.08444011938214922, 0.09502418240493474, 0.028789989087575425, -0.09340497105925655, -0.010198933934725573, -0.12810684030215877, 0.16749667434390478, 0.30720344549044964, 0.13270768141373993, 0.27113761128857733, -0.4332231071700032, -0.14949859705132743, 0.13231985351691644, 0.12662403476812567, 0.05993544175653369, 0.017527161774705747, -0.2730253061949043, 0.06980487668188289, -0.13833976620808244, -0.106086542038247, -0.13692462798208, 0.011326980132920047, 0.02447251966195078, -0.2173396285972558, 0.014441682856219511, 0.1280453121881389, 0.10039094659053566, -0.08572274909359597, -0.14467921865386113, 0.019021052287037796, 0.1015295158373192, 0.053176209466376655, 0.00998025440882581, 0.09225086726267667, -0.10242612575530075, -0.12229059954794745, 0.3731139918478827, -0.02129587437520968, -0.24886527177877724, 0.18232612446105728, -0.11078447223408147, -0.16733269165852108, 0.06423437848376731, 0.12013111042324454, 0.12785690723297496, -0.10142801323284706, 0.13134760339792895, -0.07441156624469537, 0.054044828567809115, 0.0761267721070908, 0.07328745254781097, 0.12043252151537066, 0.11368667873903178, 0.041295994124084245, 0.13350652742859287, 0.028632987286740293, -0.10146303274668753, -0.3270774379527817, -0.20587457021077474, -0.1332825794039915, 0.05622630845961491, -0.03994171032985226, -0.14234126162336908, 0.4474308141041547, 0.12080931734332505, 0.2199051404837519, 0.04790826837318794, 0.24844452511363974, 0.07695269248409507, 0.04566610963617374, 0.05254446968513851, 0.1676417841076424, 0.21035239368211478, 0.06731021847420683, -0.10108898627610567, -0.008531516211223788, 0.15722573888876165] |
710.1881 | Descartes' Rule of Signs by an Easy Induction | If c is a positive number, Descartes' rule of signs implies that multiplying
a polynomial f(x) by c - x introduces an odd number of changes of sign in the
coefficients. We turn this around, proving this fact about sign changes
inductively and deriving Descartes' rule from it.
| math.GM | if c is a positive number descartes rule of signs implies that multiplying a polynomial fx by c x introduces an odd number of changes of sign in the coefficients we turn this around proving this fact about sign changes inductively and deriving descartes rule from it | [['if', 'c', 'is', 'a', 'positive', 'number', 'descartes', 'rule', 'of', 'signs', 'implies', 'that', 'multiplying', 'a', 'polynomial', 'fx', 'by', 'c', 'x', 'introduces', 'an', 'odd', 'number', 'of', 'changes', 'of', 'sign', 'in', 'the', 'coefficients', 'we', 'turn', 'this', 'around', 'proving', 'this', 'fact', 'about', 'sign', 'changes', 'inductively', 'and', 'deriving', 'descartes', 'rule', 'from', 'it']] | [-0.22517503615706524, 0.11405587058911902, -0.06685196489412734, -0.0089071431578672, -0.12244849628273477, -0.18155256181241983, 0.11731061165993835, 0.2928213039611248, -0.3378158875919403, -0.29674688749451267, 0.047107895556341935, -0.265413562851423, -0.17771114227659207, 0.15849956105205606, -0.058240156382956404, -0.06378608284161445, 0.020690217713250757, 0.056006312172146556, -0.08434024186150983, -0.2839641195939893, 0.2955816799101043, -0.029242606833577156, 0.16350353154492506, 0.05626118150440619, 0.13021296171590369, 0.03940094443672198, -0.05927368067204952, 0.023037972649499933, -0.03949715581086608, 0.08277250211865472, 0.2146481421399624, 0.14062465156646484, 0.25809309310577017, -0.3344655459390042, -0.07472264637893185, 0.195786372540479, 0.1227669999835656, 0.02574527323087479, -0.005396866596284065, -0.18230127467912563, 0.10307640356427812, -0.14840368950303565, -0.17902394593197932, -0.05968736034837809, 0.1370766780220289, 0.008486414407479001, -0.2958921067258145, 0.043120899951045816, 0.141782327713643, 0.11518490447246647, 0.03019367933194054, -0.18013085843004445, 0.01296057111207158, 0.07191559920047826, 0.08358230288734937, 0.08710291176945209, 0.08667533333472749, -0.11526367670678078, -0.06466843768399447, 0.3178332535589629, -0.0767171031577473, -0.21453508742629213, 0.07543077531884959, -0.18774737495968633, -0.16004569859224113, 0.14873784150373429, 0.01616316548291039, 0.12530131665791602, -0.0741140629026167, 0.12001651436204408, -0.12795922372668506, 0.1919732376774575, 0.1669040795693055, -0.06834328221157193, 0.22387954683855493, 0.0013126587430807822, 0.08176157120218937, 0.12101648692437943, -0.0041337769399298, -0.03366740143045466, -0.325762632837955, -0.18420970686612295, -0.17904495750058522, 0.1602186984877954, -0.10455681259732723, -0.16462829298874798, 0.35292481036579354, 0.12148715839027724, 0.2223343619521945, 0.034204171187779374, 0.20516107104560163, 0.17446196387383214, 0.07738370597461595, 0.0585069445053492, 0.13046725205284485, 0.12629134816791307, 0.08665575253519606, -0.2229145438598588, 0.16694432367233836, 0.1469946808597826] |
710.1882 | "Jet-Ridge" effect in heavy ion collisions as a back splash from stopped
parton | I propose a simple explanation of the ``ridge'' seen in the near-side jet
two-particle correlation function in heavy ion collisions at RHIC. This could
be a cumulative shock wave produced in liquid-like matter by an energetic
stopped parton. Splash of liquid in the direction opposite to the fast
penetrating object is a known effect. In nucleus-nucleus collision the trigger
is an escaped non-interacting parton. Partner parton could be stopped in the
medium forming a conical-like shock wave with density depletion behind the
stopped parton. In the proposed scenario shock waves will move in three
directions: two waves will form a correlation structure at angles differ from
phi = 3.14 radians and are usually called a Mach Cone. The other direction is
exactly opposite to the original direction of stopping parton. The wide
rapidity distribution of the ridge is caused by the rapidity swing of the
away-side jet and longitudinal expansion of the system along the beam
direction. The calculation of such a shock wave is very complicated, but some
phenomenological observables could be explained and predicted.
| hep-ph | i propose a simple explanation of the ridge seen in the nearside jet twoparticle correlation function in heavy ion collisions at rhic this could be a cumulative shock wave produced in liquidlike matter by an energetic stopped parton splash of liquid in the direction opposite to the fast penetrating object is a known effect in nucleusnucleus collision the trigger is an escaped noninteracting parton partner parton could be stopped in the medium forming a conicallike shock wave with density depletion behind the stopped parton in the proposed scenario shock waves will move in three directions two waves will form a correlation structure at angles differ from phi 314 radians and are usually called a mach cone the other direction is exactly opposite to the original direction of stopping parton the wide rapidity distribution of the ridge is caused by the rapidity swing of the awayside jet and longitudinal expansion of the system along the beam direction the calculation of such a shock wave is very complicated but some phenomenological observables could be explained and predicted | [['i', 'propose', 'a', 'simple', 'explanation', 'of', 'the', 'ridge', 'seen', 'in', 'the', 'nearside', 'jet', 'twoparticle', 'correlation', 'function', 'in', 'heavy', 'ion', 'collisions', 'at', 'rhic', 'this', 'could', 'be', 'a', 'cumulative', 'shock', 'wave', 'produced', 'in', 'liquidlike', 'matter', 'by', 'an', 'energetic', 'stopped', 'parton', 'splash', 'of', 'liquid', 'in', 'the', 'direction', 'opposite', 'to', 'the', 'fast', 'penetrating', 'object', 'is', 'a', 'known', 'effect', 'in', 'nucleusnucleus', 'collision', 'the', 'trigger', 'is', 'an', 'escaped', 'noninteracting', 'parton', 'partner', 'parton', 'could', 'be', 'stopped', 'in', 'the', 'medium', 'forming', 'a', 'conicallike', 'shock', 'wave', 'with', 'density', 'depletion', 'behind', 'the', 'stopped', 'parton', 'in', 'the', 'proposed', 'scenario', 'shock', 'waves', 'will', 'move', 'in', 'three', 'directions', 'two', 'waves', 'will', 'form', 'a', 'correlation', 'structure', 'at', 'angles', 'differ', 'from', 'phi', '314', 'radians', 'and', 'are', 'usually', 'called', 'a', 'mach', 'cone', 'the', 'other', 'direction', 'is', 'exactly', 'opposite', 'to', 'the', 'original', 'direction', 'of', 'stopping', 'parton', 'the', 'wide', 'rapidity', 'distribution', 'of', 'the', 'ridge', 'is', 'caused', 'by', 'the', 'rapidity', 'swing', 'of', 'the', 'awayside', 'jet', 'and', 'longitudinal', 'expansion', 'of', 'the', 'system', 'along', 'the', 'beam', 'direction', 'the', 'calculation', 'of', 'such', 'a', 'shock', 'wave', 'is', 'very', 'complicated', 'but', 'some', 'phenomenological', 'observables', 'could', 'be', 'explained', 'and', 'predicted']] | [-0.14588555613798754, 0.2446162471509472, -0.18512342424264977, 0.14142795207843717, -0.08254824038062777, -0.07951956222632102, -0.061244762180639165, 0.4162353623977729, -0.2757544606285436, -0.2230978208673852, -0.017187644030366624, -0.2951375035090106, 0.02151056418461459, 0.1193995143686022, 0.046290574337222744, 0.03992522273478764, 0.07100683377390461, -0.025161023692094855, -0.059083009787968224, -0.1268717566757862, 0.2758311350444066, 0.10559241836624486, 0.20669169159073913, 0.11595465830926384, 0.08620014993207795, 0.02632464668181326, -0.011025826736752476, 0.016301108268754822, -0.06399766343778797, 0.011693560080769072, 0.2308565124353793, 0.05959863517699497, 0.20781395165648844, -0.4451836328740631, -0.1817052976733872, 0.03557700861112348, 0.20317679140982883, 0.08743585261998565, -0.06413403288594315, -0.26896303301144925, 0.00953124228598816, -0.22729096973580973, -0.22193667066948755, 0.06009472656995058, -0.007889131193182299, 0.050424778418715246, -0.2532452749823486, 0.13112677014549262, 0.013068947785733533, -0.008408771323572312, 0.026916127634633864, -0.1430674983714042, -0.06809602125281734, -0.019211341970201048, 0.12252787805428463, 0.15082836416217366, 0.20212731482461094, -0.1853017983692033, -0.11175641790365003, 0.39549143617174454, 0.008809674205258489, -0.15232589519316597, 0.16152641608246734, -0.24796025151120765, -0.08476053411440392, 0.22505932041044746, 0.21823127874705409, 0.07895290112655078, -0.15302605846397846, -0.033300970820377446, -0.053859200709516046, 0.1125621089762717, 0.1445806630554476, 0.006147494691291026, 0.2571039960320507, 0.16775335454614834, 0.032618354814725796, 0.10094388339244428, -0.17071893987112813, -0.07201025486258524, -0.3524975028993296, -0.12349948953304972, -0.14711117511349064, 0.017867505303001963, -0.08171513993268101, -0.11365152820944786, 0.40737136042942956, 0.07438795955905723, 0.2311785164369004, -0.034014754513544694, 0.29218124891232167, 0.11980323422167982, 0.04762080631734404, 0.1181527297997049, 0.2928020390237881, 0.13604626956229499, 0.15874157213738987, -0.21808173047777799, 0.13789381797558495, 0.05696510916176651] |
710.1883 | R-invariant New Inflation Model vs Supersymmetric Standard Model | We revisit the implications of the R-invariant New Inflation model to the
supersymmetric standard model in light of recent discussion of gravitino
production processes by the decay of the inflaton or the supersymmetry breaking
field. We show that the models with supergravity mediation do not go well with
the R-invariant New Inflation model, where the gravitino abundance produced by
the decay of the inflaton or the supersymmetry breaking field significantly
exceeds the bounds from cosmological observations without fine-tuning. We also
show that the models with gauge mediation can go together with R-invariant New
Inflation model, where the dark matter and the baryon asymmetry are
consistently explained without severe fine-tuning.
| hep-ph | we revisit the implications of the rinvariant new inflation model to the supersymmetric standard model in light of recent discussion of gravitino production processes by the decay of the inflaton or the supersymmetry breaking field we show that the models with supergravity mediation do not go well with the rinvariant new inflation model where the gravitino abundance produced by the decay of the inflaton or the supersymmetry breaking field significantly exceeds the bounds from cosmological observations without finetuning we also show that the models with gauge mediation can go together with rinvariant new inflation model where the dark matter and the baryon asymmetry are consistently explained without severe finetuning | [['we', 'revisit', 'the', 'implications', 'of', 'the', 'rinvariant', 'new', 'inflation', 'model', 'to', 'the', 'supersymmetric', 'standard', 'model', 'in', 'light', 'of', 'recent', 'discussion', 'of', 'gravitino', 'production', 'processes', 'by', 'the', 'decay', 'of', 'the', 'inflaton', 'or', 'the', 'supersymmetry', 'breaking', 'field', 'we', 'show', 'that', 'the', 'models', 'with', 'supergravity', 'mediation', 'do', 'not', 'go', 'well', 'with', 'the', 'rinvariant', 'new', 'inflation', 'model', 'where', 'the', 'gravitino', 'abundance', 'produced', 'by', 'the', 'decay', 'of', 'the', 'inflaton', 'or', 'the', 'supersymmetry', 'breaking', 'field', 'significantly', 'exceeds', 'the', 'bounds', 'from', 'cosmological', 'observations', 'without', 'finetuning', 'we', 'also', 'show', 'that', 'the', 'models', 'with', 'gauge', 'mediation', 'can', 'go', 'together', 'with', 'rinvariant', 'new', 'inflation', 'model', 'where', 'the', 'dark', 'matter', 'and', 'the', 'baryon', 'asymmetry', 'are', 'consistently', 'explained', 'without', 'severe', 'finetuning']] | [-0.09042268311562136, 0.2440048717923565, -0.057796436216716374, 0.15774554408949995, -0.1240208818963857, -0.18614795628439532, -0.004241611065189226, 0.2875849113782543, -0.22768403735832063, -0.34212117349951093, 0.09170207207479916, -0.23451620058387246, -0.09206364717795898, 0.09339408678699011, -0.029698965934301734, 0.03445583098213436, 0.04111797657342405, 0.03091717476384082, -0.01331188446423466, -0.2799907593449595, 0.32964191305527996, 0.047280140599201714, 0.20270950333514345, 0.06259584286754284, 0.03761697663079708, -0.06361424237053943, -0.0050741929893057215, -0.06777971846248032, -0.13476368547868467, 0.09539681015143153, 0.07979421374269755, 0.1501724464955543, 0.12189691289276773, -0.437041968790763, -0.3090628733294546, 0.23018123623017872, 0.18033808128429799, 0.16635458110703513, -0.0916349402171722, -0.3309149524077363, 0.04796915470596847, -0.1800709646964155, -0.07729875918909258, -0.0643000077251174, -0.10295844352120585, -0.12832218875100307, -0.30313931890857326, 0.13071292440739135, -0.03634136883646609, -0.00233297710255677, -0.04623430140034526, -0.10138162384194177, -0.10515697833808532, -0.03579748458220461, 0.2424456854286783, 0.0018908992460971578, 0.17065922583991644, -0.2570246193694686, -0.1485327671863002, 0.4120574722391203, -0.1844936068887489, -0.13270917745016583, 0.12985534348243147, -0.13920955489808268, -0.1892957268282771, 0.08357922668107401, 0.11898258784700425, 0.10372680192386065, -0.10801558112811058, 0.2138781298732667, 0.012517350358427118, 0.1644102689455511, 0.04864719777940473, 0.005706061113523234, 0.3022405785132507, 0.18690625854998555, 0.014307515898082884, 0.06943882418018894, -0.01357976569358362, -0.10717321041151198, -0.4680214717369014, -0.09483747963511616, -0.06461011438946658, 0.05437855482426656, -0.13287181258102806, -0.10332907744738863, 0.39374878709930755, 0.18338288307412093, 0.2542411835753111, 0.10849612493307219, 0.27565053735065076, 0.08693082651994917, 0.1221475813883878, 0.012043810141947837, 0.32728438756061257, 0.07782674177951358, 0.10329081872136357, -0.24880853832545563, -0.06848900096486707, 0.04657178722245089] |
710.1884 | Charmonium Spectroscopy Below Open Flavor Threshold | Latest experimental results in the charmonium spectroscopy below D-barD
breakup threshold are reviewed.
| hep-ex | latest experimental results in the charmonium spectroscopy below dbard breakup threshold are reviewed | [['latest', 'experimental', 'results', 'in', 'the', 'charmonium', 'spectroscopy', 'below', 'dbard', 'breakup', 'threshold', 'are', 'reviewed']] | [-0.05250446795700835, 0.3634833632251964, -0.04030357931668942, 0.19726054313091132, 0.0026306832352509866, -0.164160950252643, 0.12904403458994168, 0.3519937047161735, -0.13535894166964751, -0.17135853563936856, -0.09122847447780749, -0.44460174441337585, 0.019145843716194995, 0.20053632786640754, 0.12688400990849075, 0.29568519665358156, 0.25639542546839666, 0.003256135548536594, -0.03593714610458566, -0.2077997398491089, 0.3320828401125394, 0.07615651892354855, 0.2087960564173185, 0.38450204466397947, -0.2057223807160671, -0.02569904375391511, 0.016597022875570334, -0.19566882201112235, -0.3077276942248528, -0.040551804865782075, 0.34774775688464826, 0.09388671013025138, 0.06784660720194761, -0.35102653001936585, -0.10083772828623366, -0.05331579280587343, 0.19475580848610172, 0.142191222224098, -0.0849792851278415, -0.42388961729235375, 0.18344060145318508, -0.16934236318159562, -0.1535597272360554, -0.12060116374721894, -0.04859574751641888, 0.03329487632100399, -0.1962685861553137, 0.1584746059603416, -0.13039569141199955, 0.10996086809497613, -0.22194569711931622, -0.3952942370222165, -0.029048693151428148, -0.10815014876425266, -0.01172710725894341, 0.13743765877846342, 0.32603862996284777, -0.17302557747237957, -0.24080152064561844, 0.27729682409419465, -0.03032223479105876, -0.0200629374728753, 0.11347012479717915, -0.20822480120337927, -0.17597510174919778, 0.20696114034105378, 0.13098764355079487, 0.01761271575322518, -0.14280062745540187, 0.019859666201787498, -0.06253216215051137, 0.16906558693601534, 0.10590946298235884, 0.1303091114745117, 0.1066225182551604, 0.34744733944535255, -0.14970251036664614, 0.035352407542702094, -0.15079645425654375, -0.20272673551852888, -0.420391525213535, 0.07154488262648766, -0.09196236557685412, 0.03152251871338544, 0.1308229139003043, 0.03950943267689301, 0.26303773351873344, 0.05156602237660151, 0.3168154482084971, -0.06669648722387277, 0.3906512569922667, 0.041578332535349406, -0.011322829585808974, -0.02232513204216957, 0.44712107800520384, 0.25391911206623685, 0.15772092571625343, -0.27535750143803084, 0.02064167672338394, -0.046090046588618025] |
710.1885 | Initial state dependence in multi-electron threshold ionization of atoms | It is shown that the geometry of multi-electron threshold ionization in atoms
depends on the initial configuration of bound electrons. The reason for this
behavior is found in the stability properties of the classical fixed point of
the equations of motion for multiple threshold fragmentation. Specifically for
three-electron break-up, apart from the symmetric triangular configuration also
a break-up of lower symmetry in the form of a T-shape can occur, as we
demonstrate by calculating triple photoionization for the lithium ground and
first excited states. We predict the electron break-up geometry for threshold
fragmentation experiments.
| physics.atom-ph | it is shown that the geometry of multielectron threshold ionization in atoms depends on the initial configuration of bound electrons the reason for this behavior is found in the stability properties of the classical fixed point of the equations of motion for multiple threshold fragmentation specifically for threeelectron breakup apart from the symmetric triangular configuration also a breakup of lower symmetry in the form of a tshape can occur as we demonstrate by calculating triple photoionization for the lithium ground and first excited states we predict the electron breakup geometry for threshold fragmentation experiments | [['it', 'is', 'shown', 'that', 'the', 'geometry', 'of', 'multielectron', 'threshold', 'ionization', 'in', 'atoms', 'depends', 'on', 'the', 'initial', 'configuration', 'of', 'bound', 'electrons', 'the', 'reason', 'for', 'this', 'behavior', 'is', 'found', 'in', 'the', 'stability', 'properties', 'of', 'the', 'classical', 'fixed', 'point', 'of', 'the', 'equations', 'of', 'motion', 'for', 'multiple', 'threshold', 'fragmentation', 'specifically', 'for', 'threeelectron', 'breakup', 'apart', 'from', 'the', 'symmetric', 'triangular', 'configuration', 'also', 'a', 'breakup', 'of', 'lower', 'symmetry', 'in', 'the', 'form', 'of', 'a', 'tshape', 'can', 'occur', 'as', 'we', 'demonstrate', 'by', 'calculating', 'triple', 'photoionization', 'for', 'the', 'lithium', 'ground', 'and', 'first', 'excited', 'states', 'we', 'predict', 'the', 'electron', 'breakup', 'geometry', 'for', 'threshold', 'fragmentation', 'experiments']] | [-0.10861509589433789, 0.1778134731377693, -0.0832235510758263, 0.08820457911698465, 0.03868007160316994, -0.09168326204761545, 0.0400198066849856, 0.32881948763029056, -0.23173600710690656, -0.27744593750685453, 0.00626841365567785, -0.2576828631275195, -0.1002508769445914, 0.16925747833274146, 0.058055866390783736, 0.07012531625978807, 0.06922819748015559, 0.037136335748227986, -0.0701471340589899, -0.18352913883504796, 0.3807377868351784, 0.048739883410892984, 0.2556147539512591, 0.11956857982527544, 0.05249657011293667, 0.01830051593145633, 0.08894673512723456, -0.026928414531210636, -0.15246358074217184, 0.06877121157594956, 0.2088179001931418, 0.05898877848534191, 0.2043213310473143, -0.4379986175038713, -0.17057139092580753, 0.022352122047797164, 0.15729544481183302, 0.17872182329363645, -0.0747985364832083, -0.25525892072139267, 0.04930577529197995, -0.17475553349829576, -0.17977609655800017, -0.02967079644131058, 0.06264954419469738, 0.06155046551894555, -0.2811497165524262, 0.06612026727568864, 0.0819670876062059, 0.014341669295855026, -0.11206928475269493, -0.10877513519780552, -0.06448726332251062, 0.09261043855246712, -0.024570622523513403, -0.03236318706594249, 0.17135141943606172, -0.14317296685878822, -0.10612969048583801, 0.39122088713214753, -0.03712857149026178, -0.180634970895629, 0.14162110146432322, -0.1812532427671187, -0.10875953911764032, 0.1998246999784432, 0.1609341916182336, 0.14499199634140475, -0.0906526787414592, 0.05450821239835622, -0.04492662098020949, 0.1605585004513256, 0.13507438658865445, 0.014279089179484452, 0.16707928240437933, 0.1765348745579336, 0.0551760634853247, 0.1591737157704824, -0.15359355676473377, -0.17118768579267124, -0.3013701375451266, -0.137625292714492, -0.16155384532473188, 0.06984471420613811, -0.02402685217028657, -0.16706829950147795, 0.3661896671797644, 0.0883353377879409, 0.21109446155481992, -0.04626675962688441, 0.2670803640751129, 0.1514384901495353, 0.011558315736499238, 0.04206079079526814, 0.3032540956095971, 0.13284703766917216, 0.018133898404367427, -0.27768231064150545, 0.09647097659019872, 0.06288249147907296] |
710.1886 | On the Spectrum of the Dirichlet Laplacian in a Narrow Strip, II | We consider the Dirichlet Laplacian in a family of narrow unbounded domains.
As the width of these domains goes to 0, we study the asymptotic behavior of
the eigenvalues that lie below the essential spectrum and the asymptotic
behavior of the corresponding eigenfunctions.
| math.SP | we consider the dirichlet laplacian in a family of narrow unbounded domains as the width of these domains goes to 0 we study the asymptotic behavior of the eigenvalues that lie below the essential spectrum and the asymptotic behavior of the corresponding eigenfunctions | [['we', 'consider', 'the', 'dirichlet', 'laplacian', 'in', 'a', 'family', 'of', 'narrow', 'unbounded', 'domains', 'as', 'the', 'width', 'of', 'these', 'domains', 'goes', 'to', '0', 'we', 'study', 'the', 'asymptotic', 'behavior', 'of', 'the', 'eigenvalues', 'that', 'lie', 'below', 'the', 'essential', 'spectrum', 'and', 'the', 'asymptotic', 'behavior', 'of', 'the', 'corresponding', 'eigenfunctions']] | [-0.16524398868340393, 0.07567303684854143, -0.0643764672324408, 0.07811837465783884, -0.08811494676656155, -0.05709390644373935, 0.02070186009933782, 0.33428378715071566, -0.2864759941260482, -0.22059405751006547, 0.152035930180424, -0.32702683137599814, -0.12372290915376398, 0.12396456446325363, -0.010046495232991007, 0.0934102804898176, 0.0496086060545992, 0.12794329047333017, -0.06626550157467813, -0.10309215481826213, 0.3944423289233169, -0.04014957003122152, 0.2446002595419021, 0.056727170586845906, 0.010845239295862442, -0.039634853352381046, 0.07739837908424264, -0.03982443740418137, -0.21973756738199965, 0.12976076492909774, 0.238812834111064, 0.024150482357241387, 0.2986802133016808, -0.3463637154376091, -0.1785074475053481, 0.16772929726298466, 0.23970817432327327, -0.0009848027879935364, 0.058765796251421754, -0.2921252977102995, 0.12619791780381875, -0.0999148121580135, -0.25278239677725145, -0.011756088389733504, -0.0008618833367214647, 0.058658646601035674, -0.23684635177947755, 0.11001180296460557, 0.16101609807201597, 0.04554493474059327, -0.1129547236703856, -0.15014319941618068, -0.014145499907520622, 0.15332734702848072, 0.08751842497338996, -0.12741069096617055, 0.05892213583425727, -0.11297811406557441, -0.06791426847840465, 0.29525907838386806, -0.09491794318134009, -0.19372657235971716, 0.14000609413135884, -0.23394911477699615, -0.08402933516041484, 0.09033826335744802, 0.18360805509308742, 0.17413059505092543, -0.05484527999231981, 0.20005588718489636, -0.04079153388738632, 0.09334074866113275, 0.10192560735916675, 0.05175734131575324, 0.11996275277505088, 0.12735870939701102, 0.09836611736479194, 0.19667446041523023, -0.06183523170346784, -0.1108688885605959, -0.3780122702551443, -0.14469947058404253, -0.2042198906934192, 0.09673211801537247, -0.13086925590441964, -0.272562934908756, 0.45611826728942784, 0.10229323441054412, 0.2986689286636795, 0.10540283120475537, 0.1880449978634715, 0.1759546829447107, 0.00973892850844666, 0.0743454241648663, 0.15315142256575962, 0.16771082240048535, 0.12391609005456747, -0.24332348075370455, -0.007201170093964699, 0.05701794481814601] |
710.1887 | The Hubble series: Convergence properties and redshift variables | In cosmography, cosmokinetics, and cosmology it is quite common to encounter
physical quantities expanded as a Taylor series in the cosmological redshift z.
Perhaps the most well-known exemplar of this phenomenon is the Hubble relation
between distance and redshift. However, we now have considerable high-z data
available, for instance we have supernova data at least back to redshift
z=1.75. This opens up the theoretical question as to whether or not the Hubble
series (or more generally any series expansion based on the z-redshift)
actually converges for large redshift? Based on a combination of mathematical
and physical reasoning, we argue that the radius of convergence of any series
expansion in z is less than or equal to 1, and that z-based expansions must
break down for z>1, corresponding to a universe less than half its current
size.
Furthermore, we shall argue on theoretical grounds for the utility of an
improved parameterization y=z/(1+z). In terms of the y-redshift we again argue
that the radius of convergence of any series expansion in y is less than or
equal to 1, so that y-based expansions are likely to be good all the way back
to the big bang y=1, but that y-based expansions must break down for y<-1, now
corresponding to a universe more than twice its current size.
| gr-qc | in cosmography cosmokinetics and cosmology it is quite common to encounter physical quantities expanded as a taylor series in the cosmological redshift z perhaps the most wellknown exemplar of this phenomenon is the hubble relation between distance and redshift however we now have considerable highz data available for instance we have supernova data at least back to redshift z175 this opens up the theoretical question as to whether or not the hubble series or more generally any series expansion based on the zredshift actually converges for large redshift based on a combination of mathematical and physical reasoning we argue that the radius of convergence of any series expansion in z is less than or equal to 1 and that zbased expansions must break down for z1 corresponding to a universe less than half its current size furthermore we shall argue on theoretical grounds for the utility of an improved parameterization yz1z in terms of the yredshift we again argue that the radius of convergence of any series expansion in y is less than or equal to 1 so that ybased expansions are likely to be good all the way back to the big bang y1 but that ybased expansions must break down for y1 now corresponding to a universe more than twice its current size | [['in', 'cosmography', 'cosmokinetics', 'and', 'cosmology', 'it', 'is', 'quite', 'common', 'to', 'encounter', 'physical', 'quantities', 'expanded', 'as', 'a', 'taylor', 'series', 'in', 'the', 'cosmological', 'redshift', 'z', 'perhaps', 'the', 'most', 'wellknown', 'exemplar', 'of', 'this', 'phenomenon', 'is', 'the', 'hubble', 'relation', 'between', 'distance', 'and', 'redshift', 'however', 'we', 'now', 'have', 'considerable', 'highz', 'data', 'available', 'for', 'instance', 'we', 'have', 'supernova', 'data', 'at', 'least', 'back', 'to', 'redshift', 'z175', 'this', 'opens', 'up', 'the', 'theoretical', 'question', 'as', 'to', 'whether', 'or', 'not', 'the', 'hubble', 'series', 'or', 'more', 'generally', 'any', 'series', 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710.1888 | Electric polarizability of the neutron in dynamical quark ensembles | The background field method for measuring the electric polarizability of the
neutron is adapted to the dynamical quark case, resulting in the calculation of
(certain space-time integrals over) three- and four-point functions. Particular
care is taken to disentangle polarizability effects from the effects of
subjecting the neutron to a constant background gauge field; such a field is
not a pure gauge on a finite lattice and engenders a mass shift of its own. At
a pion mass of m_pi = 759 MeV, a small, slightly negative electric
polarizability is found for the neutron.
| hep-lat | the background field method for measuring the electric polarizability of the neutron is adapted to the dynamical quark case resulting in the calculation of certain spacetime integrals over three and fourpoint functions particular care is taken to disentangle polarizability effects from the effects of subjecting the neutron to a constant background gauge field such a field is not a pure gauge on a finite lattice and engenders a mass shift of its own at a pion mass of m_pi 759 mev a small slightly negative electric polarizability is found for the neutron | [['the', 'background', 'field', 'method', 'for', 'measuring', 'the', 'electric', 'polarizability', 'of', 'the', 'neutron', 'is', 'adapted', 'to', 'the', 'dynamical', 'quark', 'case', 'resulting', 'in', 'the', 'calculation', 'of', 'certain', 'spacetime', 'integrals', 'over', 'three', 'and', 'fourpoint', 'functions', 'particular', 'care', 'is', 'taken', 'to', 'disentangle', 'polarizability', 'effects', 'from', 'the', 'effects', 'of', 'subjecting', 'the', 'neutron', 'to', 'a', 'constant', 'background', 'gauge', 'field', 'such', 'a', 'field', 'is', 'not', 'a', 'pure', 'gauge', 'on', 'a', 'finite', 'lattice', 'and', 'engenders', 'a', 'mass', 'shift', 'of', 'its', 'own', 'at', 'a', 'pion', 'mass', 'of', 'm_pi', '759', 'mev', 'a', 'small', 'slightly', 'negative', 'electric', 'polarizability', 'is', 'found', 'for', 'the', 'neutron']] | [-0.12168895916851319, 0.23338967110232814, -0.10029465834225487, 0.08734668085083325, -0.08108939024342639, -0.06536263085360153, 0.05439319843730039, 0.33348076843211183, -0.1733755976488085, -0.25616030565098574, 0.01330241279388049, -0.2927778268880818, -0.0376246512827018, 0.16293180304700913, 0.03860255712946958, 0.0026927736389157158, 0.017623895384452266, 0.10698471598215806, -0.11205048954181383, -0.19815489403149317, 0.35542578893490945, 0.024917273503809196, 0.23871932963526848, 0.1381643402653382, 0.10631246656260412, 0.03465435680244928, -0.009815749276996306, 0.03209644699793147, -0.06275188019556124, 0.028868875375179494, 0.17839508550431396, 0.006629989598877728, 0.19412716717104797, -0.35474175125684426, -0.18416621114896692, 0.09994123113827537, 0.08828870836979426, 0.1559836634374021, -0.05348655510233189, -0.27568284755967476, 0.049181219737004976, -0.19281515896664528, -0.18138534255052471, -0.08897079386161236, 0.029890340326465262, -0.03505337124933367, -0.3348594043535464, 0.06278690398144333, -0.02008742422691759, 0.029441916748233463, -0.12305040362053146, -0.18327026432076388, -0.009648054476280737, 0.08952161733000337, 0.12341577054568283, 0.11558289848187048, 0.21044836309738457, -0.15775604685262332, -0.051469223452327045, 0.4420060895120158, -0.0857866525589286, -0.21137236662047065, 0.09327819966711104, -0.20501155932636364, -0.07957545136931636, 0.15898145251381007, 0.16765599833224373, 0.14496935489486254, -0.16997227527241668, 0.10805399606444711, 0.0024791597793607607, 0.2017328082178922, 0.09540281492366415, 0.0011117150095979805, 0.26422408289268473, 0.133650464390445, 0.0033045291353988905, 0.10112084107190046, -0.08828392361402107, -0.06546124578048677, -0.3120461468048313, -0.08963738890040827, -0.15481684554074687, 0.12008611643930477, -0.12000474578709817, -0.20525124326409044, 0.3844348429196069, 0.10165478988378511, 0.15077876564844148, -0.0028951121291712575, 0.30502900019612, 0.11715827662619235, 0.12414959530376465, -0.0005338806418560283, 0.2717546997996776, 0.24423404970287305, 0.12963847161913494, -0.31381566495300556, -0.04486027918249855, 0.03466895076385497] |
710.1889 | Understanding Transcriptional Regulation Using De-novo Sequence Motif
Discovery, Network Inference and Interactome Data | Gene regulation is a complex process involving the role of several genomic
elements which work in concert to drive spatio-temporal expression. The
experimental characterization of gene regulatory elements is a very complex and
resource-intensive process. One of the major goals in computational biology is
the \textit{in-silico} annotation of previously uncharacterized elements using
results from the subset of known, previously annotated, regulatory elements.
The recent results of the ENCODE project (\emph{http://encode.nih.gov})
presented in-depth analysis of such functional (regulatory) non-coding elements
for 1% of the human genome. It is hoped that the results obtained on this
subset can be scaled to the rest of the genome. This is an extremely important
effort which will enable faster dissection of other functional elements in key
biological processes such as disease progression and organ development
(\cite{Kleinjan2005},\cite{Lieb2006}. The computational annotation of these
hitherto uncharacterized regions would require an identification of features
that have good predictive value.
In this work, we study transcriptional regulation as a problem in
heterogeneous data integration, across sequence, expression and interactome
level attributes. Using the example of the \textit{Gata2} gene and its recently
discovered urogenital enhancers \cite{Khandekar2004} as a case study, we
examine the predictive value of various high throughput functional genomic
assays (from projects like ENCODE and SymAtlas) in characterizing these
enhancers and their regulatory role. Observing results from the application of
modern statistical learning methodologies for each of these data modalities, we
propose a set of features that are most discriminatory to find these enhancers.
| q-bio.GN | gene regulation is a complex process involving the role of several genomic elements which work in concert to drive spatiotemporal expression the experimental characterization of gene regulatory elements is a very complex and resourceintensive process one of the major goals in computational biology is the textitinsilico annotation of previously uncharacterized elements using results from the subset of known previously annotated regulatory elements the recent results of the encode project emphhttpencodenihgov presented indepth analysis of such functional regulatory noncoding elements for 1 of the human genome it is hoped that the results obtained on this subset can be scaled to the rest of the genome this is an extremely important effort which will enable faster dissection of other functional elements in key biological processes such as disease progression and organ development citekleinjan2005citelieb2006 the computational annotation of these hitherto uncharacterized regions would require an identification of features that have good predictive value in this work we study transcriptional regulation as a problem in heterogeneous data integration across sequence expression and interactome level attributes using the example of the textitgata2 gene and its recently discovered urogenital enhancers citekhandekar2004 as a case study we examine the predictive value of various high throughput functional genomic assays from projects like encode and symatlas in characterizing these enhancers and their regulatory role observing results from the application of modern statistical learning methodologies for each of these data modalities we propose a set of features that are most discriminatory to find these enhancers | [['gene', 'regulation', 'is', 'a', 'complex', 'process', 'involving', 'the', 'role', 'of', 'several', 'genomic', 'elements', 'which', 'work', 'in', 'concert', 'to', 'drive', 'spatiotemporal', 'expression', 'the', 'experimental', 'characterization', 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710.189 | Majorana spinors and extended Lorentz symmetry in four-dimensional
theory | An extended local Lorentz symmetry in four-dimensional (4D) theory is
considered. A source of this symmetry is a group of general linear
transformations of four-component Majorana spinors GL(4,M) which is isomorphic
to GL(4,R) and is the covering of an extended Lorentz group in a 6D Minkowski
space M(3,3) including superluminal and scaling transformations. Physical
space-time is assumed to be a 4D pseudo-Riemannian manifold. To connect the
extended Lorentz symmetry in the M(3,3) space with the physical space-time, a
fiber bundle over the 4D manifold is introduced with M(3,3) as a typical fiber.
The action is constructed which is invariant with respect to both general 4D
coordinate and local GL(4,M) spinor transformations. The components of the
metric on the 6D fiber are expressed in terms of the 4D pseudo-Riemannian
metric and two extra complex fields: 4D vector and scalar ones. These extra
fields describe in the general case massive particles interacting with an extra
U(1) gauge field and weakly interacting with ordinary particles, i.e.
possessing properties of invisible (dark) matter.
| gr-qc | an extended local lorentz symmetry in fourdimensional 4d theory is considered a source of this symmetry is a group of general linear transformations of fourcomponent majorana spinors gl4m which is isomorphic to gl4r and is the covering of an extended lorentz group in a 6d minkowski space m33 including superluminal and scaling transformations physical spacetime is assumed to be a 4d pseudoriemannian manifold to connect the extended lorentz symmetry in the m33 space with the physical spacetime a fiber bundle over the 4d manifold is introduced with m33 as a typical fiber the action is constructed which is invariant with respect to both general 4d coordinate and local gl4m spinor transformations the components of the metric on the 6d fiber are expressed in terms of the 4d pseudoriemannian metric and two extra complex fields 4d vector and scalar ones these extra fields describe in the general case massive particles interacting with an extra u1 gauge field and weakly interacting with ordinary particles ie possessing properties of invisible dark matter | [['an', 'extended', 'local', 'lorentz', 'symmetry', 'in', 'fourdimensional', '4d', 'theory', 'is', 'considered', 'a', 'source', 'of', 'this', 'symmetry', 'is', 'a', 'group', 'of', 'general', 'linear', 'transformations', 'of', 'fourcomponent', 'majorana', 'spinors', 'gl4m', 'which', 'is', 'isomorphic', 'to', 'gl4r', 'and', 'is', 'the', 'covering', 'of', 'an', 'extended', 'lorentz', 'group', 'in', 'a', '6d', 'minkowski', 'space', 'm33', 'including', 'superluminal', 'and', 'scaling', 'transformations', 'physical', 'spacetime', 'is', 'assumed', 'to', 'be', 'a', '4d', 'pseudoriemannian', 'manifold', 'to', 'connect', 'the', 'extended', 'lorentz', 'symmetry', 'in', 'the', 'm33', 'space', 'with', 'the', 'physical', 'spacetime', 'a', 'fiber', 'bundle', 'over', 'the', '4d', 'manifold', 'is', 'introduced', 'with', 'm33', 'as', 'a', 'typical', 'fiber', 'the', 'action', 'is', 'constructed', 'which', 'is', 'invariant', 'with', 'respect', 'to', 'both', 'general', '4d', 'coordinate', 'and', 'local', 'gl4m', 'spinor', 'transformations', 'the', 'components', 'of', 'the', 'metric', 'on', 'the', '6d', 'fiber', 'are', 'expressed', 'in', 'terms', 'of', 'the', '4d', 'pseudoriemannian', 'metric', 'and', 'two', 'extra', 'complex', 'fields', '4d', 'vector', 'and', 'scalar', 'ones', 'these', 'extra', 'fields', 'describe', 'in', 'the', 'general', 'case', 'massive', 'particles', 'interacting', 'with', 'an', 'extra', 'u1', 'gauge', 'field', 'and', 'weakly', 'interacting', 'with', 'ordinary', 'particles', 'ie', 'possessing', 'properties', 'of', 'invisible', 'dark', 'matter']] | [-0.17168748011522575, 0.19225418710658357, -0.06315118653844752, 0.06999874762559176, -0.13400218481599482, -0.15038295820199266, -0.10079404027047002, 0.35036097821628975, -0.19614334377142306, -0.26138027471770436, 0.04963924919469784, -0.24460891505959861, -0.15782812901934284, 0.08322082950125732, -0.05730250096269242, 0.0008556252926822283, -0.06272616147336935, 0.10922276001133605, -0.14877730701676387, -0.2671054668270029, 0.38071440478429913, 0.013908828527828355, 0.26354270204232483, -0.06695562108938476, 0.15556266568991506, 0.001586704063201379, -0.016827360308634305, 0.0003763792006728312, -0.03954362285652471, 0.12410770145295087, 0.20156823225461593, 0.057613252507366555, 0.10991405015239704, -0.3982249890526612, -0.2514499913912244, 0.10342202155466029, 0.15816871499821186, 0.06987140287678621, -0.033450830829591896, -0.3597048696529254, 0.012864089908334845, -0.14162624206862406, -0.19928739593618042, -0.05888923277944594, 0.006944669335996899, -0.10573206279527195, -0.24396541212479064, 0.05268204923786089, 0.022335241430210408, 0.07357016096622153, -0.09226742972101191, 0.0015987941910217175, -0.08079045004640778, 0.03751114505750244, 0.09695235140688584, 0.084290390496817, 0.14666874225956839, -0.14107109941291193, -0.09993679812916939, 0.47834160489212824, -0.09111783810762945, -0.29733099699477683, 0.17722015294753862, -0.12012640870222265, -0.1432955736687552, 0.13098407317856384, 0.13379220032094125, 0.1356070884322179, -0.12686787138575922, 0.21268873862869211, -0.07773147864981059, 0.11515978027224362, 0.05603816618579635, 0.07158476703982901, 0.2112582594345876, 0.08329732054468066, 0.08301782993766901, 0.09581143791511276, -0.01352476682597604, -0.12570509832062407, -0.39279970161973715, -0.2387666205692936, -0.12188479155274164, 0.1304237905800521, -0.16423453819191414, -0.14693629543623235, 0.3762246713845316, 0.012484214738468656, 0.1688911708735465, 0.005408672879388679, 0.21075587318290004, 0.07326127975150207, 0.11351234113384863, 0.07340214796737952, 0.24890139186475985, 0.1948681441344834, 0.01869135099521721, -0.17995174255809038, -0.14053121873339314, 0.12256121285772788] |
710.1891 | What makes the Crab pulsar shine? | Our high time resolution observations of individual pulses from the Crab
pulsar show that the main pulse and interpulse differ in temporal behavior,
spectral behavior, polarization and dispersion. The main pulse properties are
consistent with one current model of pulsar radio emission, namely, soliton
collapse in strong plasma turbulence. The high-frequency interpulse is quite
another story. Its dynamic spectrum cannot easily be explained by any current
emission model; its excess dispersion must come from propagation through the
star's magnetosphere. We suspect the high-frequency interpulse does not follow
the ``standard model'', but rather comes from some unexpected region within the
star's magnetosphere. Similar observations of other pulsars will reveal whether
the radio emission mechanisms operating in the Crab pulsar are unique to that
star, or can be identified in the general population.
| astro-ph | our high time resolution observations of individual pulses from the crab pulsar show that the main pulse and interpulse differ in temporal behavior spectral behavior polarization and dispersion the main pulse properties are consistent with one current model of pulsar radio emission namely soliton collapse in strong plasma turbulence the highfrequency interpulse is quite another story its dynamic spectrum cannot easily be explained by any current emission model its excess dispersion must come from propagation through the stars magnetosphere we suspect the highfrequency interpulse does not follow the standard model but rather comes from some unexpected region within the stars magnetosphere similar observations of other pulsars will reveal whether the radio emission mechanisms operating in the crab pulsar are unique to that star or can be identified in the general population | [['our', 'high', 'time', 'resolution', 'observations', 'of', 'individual', 'pulses', 'from', 'the', 'crab', 'pulsar', 'show', 'that', 'the', 'main', 'pulse', 'and', 'interpulse', 'differ', 'in', 'temporal', 'behavior', 'spectral', 'behavior', 'polarization', 'and', 'dispersion', 'the', 'main', 'pulse', 'properties', 'are', 'consistent', 'with', 'one', 'current', 'model', 'of', 'pulsar', 'radio', 'emission', 'namely', 'soliton', 'collapse', 'in', 'strong', 'plasma', 'turbulence', 'the', 'highfrequency', 'interpulse', 'is', 'quite', 'another', 'story', 'its', 'dynamic', 'spectrum', 'can', 'not', 'easily', 'be', 'explained', 'by', 'any', 'current', 'emission', 'model', 'its', 'excess', 'dispersion', 'must', 'come', 'from', 'propagation', 'through', 'the', 'stars', 'magnetosphere', 'we', 'suspect', 'the', 'highfrequency', 'interpulse', 'does', 'not', 'follow', 'the', 'standard', 'model', 'but', 'rather', 'comes', 'from', 'some', 'unexpected', 'region', 'within', 'the', 'stars', 'magnetosphere', 'similar', 'observations', 'of', 'other', 'pulsars', 'will', 'reveal', 'whether', 'the', 'radio', 'emission', 'mechanisms', 'operating', 'in', 'the', 'crab', 'pulsar', 'are', 'unique', 'to', 'that', 'star', 'or', 'can', 'be', 'identified', 'in', 'the', 'general', 'population']] | [-0.11046019909818741, 0.1508453031719634, -0.10220042673454648, 0.13385584127867, -0.15459800916582797, -0.12376894366179565, 0.012570061015360283, 0.4604623836719177, -0.2622897295337735, -0.2992353461908572, 0.05394578178256228, -0.2556886635756007, -0.03966376711226379, 0.24625632861826682, -0.053623752197767535, -0.061126579935344955, 0.09169038368925227, -0.033305183061836004, 0.012356618507483014, -0.11594022454493935, 0.2468323603582879, 0.07512820861302316, 0.2191351227229461, -0.0009614292101821665, 0.0307707872636842, -0.10691600298918219, 0.013597301648449942, -0.04529175648084757, -0.022686652291502633, 0.015342787260923422, 0.21561885896759728, 0.15493777542283307, 0.15422087316542413, -0.4426590598710446, -0.2799545818953916, 0.058789936453456794, 0.1952261527097135, 0.051035249856244205, -0.017743316658941858, -0.27866094532973046, 0.05688787342197346, -0.18851906276364444, -0.1783670283621177, 0.06353120298378846, -0.02465915397007131, 0.09576964094374103, -0.16655650770178798, 0.09892128397901119, 0.08667353648166737, 0.02334674616400717, -0.0942645163282357, -0.07368396157240072, -0.019220677604828255, 0.08664123882066854, 0.10385104378413719, 0.020239064129506885, 0.1482955903541579, -0.12093097873025038, -0.10676879850022185, 0.3991751028224826, -0.07025217338973148, -0.03633215260042837, 0.1892795954005454, -0.30024414567808644, -0.1492053008617156, 0.1962850479740706, 0.11556320929913923, 0.061651410894807086, -0.1615040514893322, -0.004507427548312328, -0.01507573840067242, 0.25006468279576494, 0.07117592515318062, 0.07535526406056968, 0.32955367355184123, 0.12341179152038724, -0.003791977460919456, 0.11328827592263803, -0.189553712861556, -0.055740903399771814, -0.2608264557396372, -0.0011673947499895637, -0.15701744251771632, 0.09942107675548566, -0.10345391268382434, -0.10861700293996061, 0.4440758145012131, 0.15650928154531302, 0.1328506920924128, 0.026322000561225595, 0.3251264828229041, 0.16286280271191517, 0.05261811331817598, 0.13397378727236312, 0.33944961766356946, 0.11950384498656301, 0.13583376111505044, -0.2402871395655287, 0.12378661174355357, -0.051682456509407726] |
710.1892 | Conjugacy classes of solutions to equations and inequations over
hyperbolic groups | We study conjugacy classes of solutions to systems of equations and
inequations over torsion-free hyperbolic groups, and describe an algorithm to
recognize whether or not there are finitely many conjugacy classes of solutions
to such a system. The class of immutable subgroups of hyperbolic groups is
introduced, which is fundamental to the study of equations in this context. We
apply our results to enumerate the immutable subgroups of a torsion-free
hyperbolic group.
| math.GR | we study conjugacy classes of solutions to systems of equations and inequations over torsionfree hyperbolic groups and describe an algorithm to recognize whether or not there are finitely many conjugacy classes of solutions to such a system the class of immutable subgroups of hyperbolic groups is introduced which is fundamental to the study of equations in this context we apply our results to enumerate the immutable subgroups of a torsionfree hyperbolic group | [['we', 'study', 'conjugacy', 'classes', 'of', 'solutions', 'to', 'systems', 'of', 'equations', 'and', 'inequations', 'over', 'torsionfree', 'hyperbolic', 'groups', 'and', 'describe', 'an', 'algorithm', 'to', 'recognize', 'whether', 'or', 'not', 'there', 'are', 'finitely', 'many', 'conjugacy', 'classes', 'of', 'solutions', 'to', 'such', 'a', 'system', 'the', 'class', 'of', 'immutable', 'subgroups', 'of', 'hyperbolic', 'groups', 'is', 'introduced', 'which', 'is', 'fundamental', 'to', 'the', 'study', 'of', 'equations', 'in', 'this', 'context', 'we', 'apply', 'our', 'results', 'to', 'enumerate', 'the', 'immutable', 'subgroups', 'of', 'a', 'torsionfree', 'hyperbolic', 'group']] | [-0.18022193010741225, 0.07126941834758327, -0.08571727615263727, 0.06371068771598705, -0.13438467482208377, -0.10707570207563953, -0.006056704927080621, 0.3567779393763178, -0.367077734010915, -0.26989872267909554, 0.1342724229277034, -0.282329464240724, -0.1429682327337408, 0.2544293299595463, -0.15865370384805524, 0.024188291397877038, 0.03819877438298944, 0.07695986396154492, -0.0625011349717776, -0.28547030050928396, 0.41617998279010254, -0.11248150579113927, 0.23053349998210454, 0.0027249596120479205, 0.13064577116812062, -0.06983499961400715, -0.030577552705330566, 0.0257074443054282, -0.1227429328719154, 0.11405470015274154, 0.3413416964467615, 0.09513775651026259, 0.24436964364010944, -0.3442424687349962, -0.16887713159020576, 0.25006143572843736, 0.13918807633712682, 0.059514699456889905, -0.07274245097586471, -0.3036903982671599, 0.1368562912878891, -0.1760236102854833, -0.16924086227340418, -0.09517388353641662, 0.07231544297085041, 0.03511211703557314, -0.17237551557546896, -0.01736341837224447, 0.09212373140164548, 0.0561659446813994, -0.09832618648134586, 0.0028474408075756705, 0.008598154711459452, 0.16624537097717015, 0.07314952027000901, -0.0660414272505376, 0.056986820256699704, -0.06922757225563853, -0.15147166625441363, 0.4738411657098267, 0.010375102713523019, -0.25824208257512915, 0.23396112280897796, -0.14475840472409296, -0.22181629802798852, 0.13277218021297207, 0.22366928697253266, 0.173521052470379, -0.10375974897114146, 0.14550635095575773, -0.15596012189053, 0.15138070999334255, 0.049948347645113245, -0.03790868689409561, 0.10077518509286973, 0.10728621271684663, 0.06767305245335188, 0.14078219065817799, 0.12647269342819023, 0.0033740573045280245, -0.32255179359991515, -0.2193137106951326, -0.0681477290571719, 0.07522167966837717, -0.02719752033873293, -0.26162543782265857, 0.4542154144081805, 0.09869648253596905, 0.06615394659133421, 0.12844877160872178, 0.1770885877550528, 0.03486593724179935, 0.09147106513329264, 0.12515112874098122, 0.1051893844269216, 0.20159796893130988, -0.09894398473099703, -0.154977986537334, -0.026271858291390043, 0.18578224278624272] |
710.1893 | Quasistatically varying log-normal distribution in the middle scale
region of Japanese land prices | Employing data on the assessed value of land in 1974--2007 Japan, we exhibit
a quasistatically varying log-normal distribution in the middle scale region.
In the derivation, a Non-Gibrat's law under the detailed quasi-balance is
adopted together with two approximations. The resultant distribution is
power-law with the varying exponent in the large scale region and the
quasistatic log-normal distribution with the varying standard deviation in the
middle scale region. In the distribution, not only the change of the exponent
but also the change of the standard deviation depends on the parameter of the
detailed quasi-balance. These results are consistently confirmed by the
empirical data.
| q-fin.ST physics.soc-ph | employing data on the assessed value of land in 19742007 japan we exhibit a quasistatically varying lognormal distribution in the middle scale region in the derivation a nongibrats law under the detailed quasibalance is adopted together with two approximations the resultant distribution is powerlaw with the varying exponent in the large scale region and the quasistatic lognormal distribution with the varying standard deviation in the middle scale region in the distribution not only the change of the exponent but also the change of the standard deviation depends on the parameter of the detailed quasibalance these results are consistently confirmed by the empirical data | [['employing', 'data', 'on', 'the', 'assessed', 'value', 'of', 'land', 'in', '19742007', 'japan', 'we', 'exhibit', 'a', 'quasistatically', 'varying', 'lognormal', 'distribution', 'in', 'the', 'middle', 'scale', 'region', 'in', 'the', 'derivation', 'a', 'nongibrats', 'law', 'under', 'the', 'detailed', 'quasibalance', 'is', 'adopted', 'together', 'with', 'two', 'approximations', 'the', 'resultant', 'distribution', 'is', 'powerlaw', 'with', 'the', 'varying', 'exponent', 'in', 'the', 'large', 'scale', 'region', 'and', 'the', 'quasistatic', 'lognormal', 'distribution', 'with', 'the', 'varying', 'standard', 'deviation', 'in', 'the', 'middle', 'scale', 'region', 'in', 'the', 'distribution', 'not', 'only', 'the', 'change', 'of', 'the', 'exponent', 'but', 'also', 'the', 'change', 'of', 'the', 'standard', 'deviation', 'depends', 'on', 'the', 'parameter', 'of', 'the', 'detailed', 'quasibalance', 'these', 'results', 'are', 'consistently', 'confirmed', 'by', 'the', 'empirical', 'data']] | [-0.07954216735105556, 0.13180293323066417, -0.13631724613248417, 0.07857069030800594, -0.004287566218552834, -0.07819548329237, 0.0659080206550252, 0.33548990104089277, -0.2541214122464604, -0.33542789020898317, 0.10297516935348215, -0.2721895269385659, -0.06847037147214212, 0.19048913657702138, -0.044908752562051714, 0.041977481888883776, 0.001996889300091137, 0.02136718206992834, -0.07317190085270323, -0.18427711819289344, 0.3334943913476597, 0.09526809365811324, 0.3397864943167361, 0.024288802072843813, 0.05648401038638215, -0.03662558546345128, -0.05219961615685042, 0.026502377593355015, -0.14166227542209706, 0.07188825525970448, 0.12979270676427548, 0.04953372724686224, 0.2283652378153978, -0.36139345406969586, -0.22433390585465893, 0.0870230401235651, 0.12333756026415395, 0.011316679418087006, -0.005416855603308961, -0.24994794313915739, 0.06226407809846914, -0.17116345553013432, -0.16598500890915494, 0.021043110924708373, 0.001148754140675658, 0.07266057555628296, -0.28719833143295187, 0.15537382643364397, 0.020607946606555787, 0.1008109910515054, -0.05116176078013043, -0.11918278619425722, -0.005353166984560171, 0.14133179994152473, 0.08626821821573938, -0.006718211904131245, 0.17157202642318783, -0.13312842487357557, -0.0035901747201338855, 0.3450765636943207, -0.10754361554131944, -0.19881409643642087, 0.11959816442253898, -0.24541852682699808, -0.1136717491340593, 0.1328547143672436, 0.1371083307624011, 0.0709211511073068, -0.11822152340618691, 0.10204569040970544, -0.037023913225915174, 0.19651614885666582, 0.030856506064497302, -0.03858939358632606, 0.1696518811000751, 0.1670365143788628, 0.02005875726590062, 0.11797156982760101, -0.16047058512207749, -0.19906179759983378, -0.3252880482860647, -0.07421813353822374, -0.21775381116307166, 0.005795322527035859, -0.16046326772968567, -0.1671223096033134, 0.4042078006717533, 0.1028738910203228, 0.23344835555088697, 0.09001994814428657, 0.23317311356526496, 0.14328503401691814, 0.07122698090601676, 0.07563446295254006, 0.2764534871093929, 0.06339666296469768, 0.11853590798979201, -0.19876227213881245, 0.1363091231248858, -0.03722172106689967] |
710.1894 | Deriving confinement via RG decimations | We present the general framework and building blocks of a recent derivation
of the fact that the SU(2) LGT is in a confining phase for all values of the
coupling $0 < \beta < \infty$, for space-time dimension $d \leq 4$. The method
employs approximate but explicitly computable RG decimations that are shown to
constrain the exact partition function and order parameters from above and
below, and flow from the weak to the strong coupling regime without
encountering a fixed point.
| hep-lat | we present the general framework and building blocks of a recent derivation of the fact that the su2 lgt is in a confining phase for all values of the coupling 0 beta infty for spacetime dimension d leq 4 the method employs approximate but explicitly computable rg decimations that are shown to constrain the exact partition function and order parameters from above and below and flow from the weak to the strong coupling regime without encountering a fixed point | [['we', 'present', 'the', 'general', 'framework', 'and', 'building', 'blocks', 'of', 'a', 'recent', 'derivation', 'of', 'the', 'fact', 'that', 'the', 'su2', 'lgt', 'is', 'in', 'a', 'confining', 'phase', 'for', 'all', 'values', 'of', 'the', 'coupling', '0', 'beta', 'infty', 'for', 'spacetime', 'dimension', 'd', 'leq', '4', 'the', 'method', 'employs', 'approximate', 'but', 'explicitly', 'computable', 'rg', 'decimations', 'that', 'are', 'shown', 'to', 'constrain', 'the', 'exact', 'partition', 'function', 'and', 'order', 'parameters', 'from', 'above', 'and', 'below', 'and', 'flow', 'from', 'the', 'weak', 'to', 'the', 'strong', 'coupling', 'regime', 'without', 'encountering', 'a', 'fixed', 'point']] | [-0.1236345934743486, 0.1429256599048695, -0.0626422273808548, 0.05522078011756692, -0.03927287380682611, -0.16098489458495868, 0.06622867290773488, 0.3362782633144267, -0.2419136084757651, -0.26959137570207253, 0.0872782560675464, -0.2637463318820618, -0.1361780980590118, 0.14169873482594855, 0.03495729338566336, 0.03846829656759849, -0.025425236324390657, 0.058941788393768325, -0.11505509393077486, -0.18503348329517094, 0.3188484851506692, -0.010579897220470483, 0.25204342894721776, 0.07458017933877963, 0.11470488836705874, 0.00031468224611510583, 0.018779445716616095, 0.014341324999563018, -0.17093936730521772, 0.0581014058243224, 0.20414552974950853, 0.06977725810890051, 0.21287930693147303, -0.3664144751721922, -0.20819146650448395, 0.11504302677238666, 0.16312385195441828, 0.12835587244009292, -0.02419627121284227, -0.250725956633687, 0.10823040957160329, -0.14125298469362757, -0.17732548703074077, -0.07493112787392132, 0.04646384363840747, -0.017451464404835353, -0.34368093795131277, 0.07809539169921906, 0.07368909799835727, 0.01821692774803201, -0.02571018660570719, -0.12716491015692818, -0.01752878146104609, 0.14762344220623705, 0.07882441221029038, 0.09900271208202348, 0.08228628821317342, -0.1517119131793704, -0.029541782670082596, 0.3393306391537661, -0.06152827064713015, -0.1831727270567436, 0.17400565771739693, -0.15162920841617109, -0.144752511477593, 0.1228939508429811, 0.1223007162290189, 0.15185257265509305, -0.09917568146616598, 0.19509509540328024, -0.02597201630897537, 0.1720188247836401, 0.05835647028104603, 0.0038207097935395997, 0.173678569601778, 0.09190066065639257, 0.0679024146174234, 0.10963422769704197, -0.0354663399107094, -0.10535999729970022, -0.3749809215151811, -0.12027807932942398, -0.18708228539304125, 0.07270353328719546, -0.1658681755217936, -0.13288543616308052, 0.3434549934419367, 0.17145495838190936, 0.20481481681330294, 0.11343492854598768, 0.2449874565288236, 0.12105194658418245, 0.04825381842689424, 0.09837362129547739, 0.24362132533252995, 0.13221799463469866, 0.03005463170267854, -0.20848612265684938, -0.006239141778183417, 0.13825450002958503] |
710.1895 | Measurement of correlated b-bbar production in p-pbar collisions at
sqrt(s)=1960GeV | We present a measurement of the correlated $b\bar{b}$ production cross
section. The data used in this analysis were taken with the upgraded CDF
detector (CDF II) at the Fermilab Tevatron collider, and correspond to an
integrated luminosity of 742 pb$^{-1}$. We utilize muon pairs with invariant
mass $5 \leq m_{\mu\mu} \leq 80
\gevcc$ produced by $b\bar{b}$ double semileptonic decays. For muons with
$p_T \geq 3 \gevc$ and $|\eta| \leq 0.7$, that are produced by $b$ and
$\bar{b}$ quarks with $p_T \geq 2 \gevc$ and $|y| \leq 1.3$, we measure
$\sigma_{b\to\mu,\bar{b}\to \mu}= 1549 \pm 133$ pb. We compare this result with
theoretical predictions and previous measurements. We also report the
measurement of $\sigma_{c\to\mu,\bar{c}\to \mu}$, a by-product of the study of
the background to $b\bar{b}$ production.
| hep-ex | we present a measurement of the correlated bbarb production cross section the data used in this analysis were taken with the upgraded cdf detector cdf ii at the fermilab tevatron collider and correspond to an integrated luminosity of 742 pb1 we utilize muon pairs with invariant mass 5 leq m_mumu leq 80 gevcc produced by bbarb double semileptonic decays for muons with p_t geq 3 gevc and eta leq 07 that are produced by b and barb quarks with p_t geq 2 gevc and y leq 13 we measure sigma_btomubarbto mu 1549 pm 133 pb we compare this result with theoretical predictions and previous measurements we also report the measurement of sigma_ctomubarcto mu a byproduct of the study of the background to bbarb production | [['we', 'present', 'a', 'measurement', 'of', 'the', 'correlated', 'bbarb', 'production', 'cross', 'section', 'the', 'data', 'used', 'in', 'this', 'analysis', 'were', 'taken', 'with', 'the', 'upgraded', 'cdf', 'detector', 'cdf', 'ii', 'at', 'the', 'fermilab', 'tevatron', 'collider', 'and', 'correspond', 'to', 'an', 'integrated', 'luminosity', 'of', '742', 'pb1', 'we', 'utilize', 'muon', 'pairs', 'with', 'invariant', 'mass', '5', 'leq', 'm_mumu', 'leq', '80', 'gevcc', 'produced', 'by', 'bbarb', 'double', 'semileptonic', 'decays', 'for', 'muons', 'with', 'p_t', 'geq', '3', 'gevc', 'and', 'eta', 'leq', '07', 'that', 'are', 'produced', 'by', 'b', 'and', 'barb', 'quarks', 'with', 'p_t', 'geq', '2', 'gevc', 'and', 'y', 'leq', '13', 'we', 'measure', 'sigma_btomubarbto', 'mu', '1549', 'pm', '133', 'pb', 'we', 'compare', 'this', 'result', 'with', 'theoretical', 'predictions', 'and', 'previous', 'measurements', 'we', 'also', 'report', 'the', 'measurement', 'of', 'sigma_ctomubarcto', 'mu', 'a', 'byproduct', 'of', 'the', 'study', 'of', 'the', 'background', 'to', 'bbarb', 'production']] | [-0.016455050029211722, 0.23895378301378634, -0.04065654258488021, 0.07774723381315526, 0.020656326648275384, -0.1555875500083947, 0.03227476124579209, 0.35367592927984526, -0.13517851380203835, -0.3391374251118205, -0.0629232822197917, -0.449835494496539, 0.14426468330298048, 0.13756779421952967, 0.06283382363006716, 0.10313265559217724, 0.1387052666930268, -0.045405307331420175, -0.08349760980765167, -0.23819982392530217, 0.20825235732281427, 0.034283116364424104, 0.17582561865403148, 0.12134420548061856, 0.061066581382412374, 0.033296926952822166, -0.07808064871952396, -0.093471846652034, -0.2189464473157103, 0.027672312878927248, 0.24946102054148425, 0.12743145099184552, 0.08635338493928191, -0.25495796216380795, 0.018087282227199585, 0.16581420948896863, 0.16242273267908175, -0.03727862793097242, -0.06004250522886143, -0.33918428379034654, 0.20205974122738374, -0.2341407883538269, -0.09293835737635611, 0.019940633966098922, 0.042143784436687336, -0.06187885592225939, -0.3769612027347454, 0.13626048927072276, -0.03305493130016553, 0.11497246139285872, 0.017453878783987315, -0.2925684614618477, -0.0567675692556029, -0.060884686385388256, 0.05962312409318373, 0.14869703746068705, 0.16516124272287716, -0.08451407377466895, -0.18585576401111198, 0.27817915088390227, -0.08033918954248799, -0.12536028998552776, 0.15192229520590578, -0.26055675919824206, -0.13645486797580159, 0.1872918032888384, 0.27499511333365667, 0.0859501859932741, -0.21458061758932642, 0.104431815500291, -0.008445350294856385, 0.21541848834833038, 0.09115723854495732, 0.0428277843815015, 0.12100994625876917, 0.209966941061048, -0.019484422207794717, 0.03509002871578559, -0.22099749016438108, 0.05454186554311118, -0.47394747340471527, -0.1328899698011333, -0.045344736053012924, 0.1626769718780854, -0.04129314614919331, 0.02637168495595211, 0.30555236825078236, 0.09020788440114406, 0.356546971717941, 0.044076049767175045, 0.25185826544451423, 0.06781667993751309, 0.028275794241544944, 0.10280297595669313, 0.28218443668829124, 0.20513460394872932, 0.1769706591597346, -0.19420674565385598, -0.033033443817135986, -0.007857019272556559] |
710.1896 | The Long-term Radiative Evolution of Anomalous X-ray Pulsar 1E 2259+586
after its 2002 Outburst | We present an analysis of five X-ray Multi-Mirror Mission (XMM) observations
of the anomalous X-ray pulsar (AXP) 1E 2259+586 taken in 2004 and 2005 during
its relaxation following its 2002 outburst. We compare these data with those of
five previous XMM observations taken in 2002 and 2003, and find the observed
flux decay is well described by a power-law of index -0.69+/-0.03. As of
mid-2005, the source may still have been brighter than preoutburst, and was
certainly hotter. We find a strong correlation between hardness and flux, as
seen in other AXP outbursts. We discuss the implications of these results for
the magnetar model.
| astro-ph | we present an analysis of five xray multimirror mission xmm observations of the anomalous xray pulsar axp 1e 2259586 taken in 2004 and 2005 during its relaxation following its 2002 outburst we compare these data with those of five previous xmm observations taken in 2002 and 2003 and find the observed flux decay is well described by a powerlaw of index 069003 as of mid2005 the source may still have been brighter than preoutburst and was certainly hotter we find a strong correlation between hardness and flux as seen in other axp outbursts we discuss the implications of these results for the magnetar model | [['we', 'present', 'an', 'analysis', 'of', 'five', 'xray', 'multimirror', 'mission', 'xmm', 'observations', 'of', 'the', 'anomalous', 'xray', 'pulsar', 'axp', '1e', '2259586', 'taken', 'in', '2004', 'and', '2005', 'during', 'its', 'relaxation', 'following', 'its', '2002', 'outburst', 'we', 'compare', 'these', 'data', 'with', 'those', 'of', 'five', 'previous', 'xmm', 'observations', 'taken', 'in', '2002', 'and', '2003', 'and', 'find', 'the', 'observed', 'flux', 'decay', 'is', 'well', 'described', 'by', 'a', 'powerlaw', 'of', 'index', '069003', 'as', 'of', 'mid2005', 'the', 'source', 'may', 'still', 'have', 'been', 'brighter', 'than', 'preoutburst', 'and', 'was', 'certainly', 'hotter', 'we', 'find', 'a', 'strong', 'correlation', 'between', 'hardness', 'and', 'flux', 'as', 'seen', 'in', 'other', 'axp', 'outbursts', 'we', 'discuss', 'the', 'implications', 'of', 'these', 'results', 'for', 'the', 'magnetar', 'model']] | [-0.06195508723951949, 0.09636473019273377, -0.10325376654170382, 0.13444155292445342, -0.10682623567358021, -0.10132979158565257, 0.044854858806537626, 0.4654739734906595, -0.15159626233219667, -0.405538806366255, 0.1335208754188571, -0.3473440275518495, -0.0774047669131779, 0.262339282561618, -0.06995164886912675, 0.009526671117253024, 0.08297929804301957, -0.07516083104120007, -0.04286791926738128, -0.2784089197807898, 0.20182453430013605, 0.08601775350392733, 0.1575111256306539, -0.009924806681579178, 0.04539050443156722, -0.03715082439503551, -0.10319171242361654, -0.011668927732457235, -0.09483569029049532, 0.009085620150480925, 0.17463795430234913, 0.13539574293700019, 0.15816064213303108, -0.40049435460524074, -0.24120541418748861, 0.04416117606485642, 0.11044592399475645, -0.049113374533475314, 0.02596582918093332, -0.2916671389903765, -0.00987824958577318, -0.24101986169127873, -0.15629513075719903, 0.026709006077528578, 0.11333493167733394, 0.005399675822807747, -0.16903812185978717, 0.12373051254386172, 0.05699311011104655, 0.051878293555736255, -0.19635020300194403, -0.11741741380012295, 0.0025592388074338725, 0.07495192049559458, 0.12152560080234323, 0.0639617735151545, 0.051485742059156514, -0.11150069527545022, -0.17776536721752015, 0.31856198899574506, -0.0734654650374969, 0.12519886125855653, 0.18584995069857507, -0.20862060036166635, -0.23888837005400543, 0.14564923265749968, 0.08762195321857857, 0.059438977815500164, -0.14855645162062447, 0.017448480007675526, -0.05626073759275226, 0.20993342625827177, 0.047872959717529494, 0.03567325997446637, 0.24952911180037174, 0.11340671746360897, -0.05303087064010787, 0.19948361633465292, -0.27415908835104946, -0.008767742962006804, -0.22161525893658038, -0.054510167872225776, -0.13643490882065978, 0.13401954087035423, -0.08250423854607433, -0.10442615808575477, 0.39200374845740865, 0.0926397218633425, 0.1955781876769604, 0.006604907132092653, 0.24712172939071378, 0.138591357540719, 0.002073384240468584, 0.17004509882784438, 0.39273172494892067, 0.12070411535486289, 0.1792015501126213, -0.21842580979002765, 0.09410146467423844, -0.003410046646660827] |
710.1897 | Gravitational-Wave Astronomy with Inspiral Signals of Spinning
Compact-Object Binaries | Inspiral signals from binary compact objects (black holes and neutron stars)
are primary targets of the ongoing searches by ground-based gravitational-wave
interferometers (LIGO, Virgo, GEO-600 and TAMA-300). We present
parameter-estimation simulations for inspirals of black-hole--neutron-star
binaries using Markov-chain Monte-Carlo methods. For the first time, we have
both estimated the parameters of a binary inspiral source with a spinning
component and determined the accuracy of the parameter estimation, for
simulated observations with ground-based gravitational-wave detectors. We
demonstrate that we can obtain the distance, sky position, and binary
orientation at a higher accuracy than previously suggested in the literature.
For an observation of an inspiral with sufficient spin and two or three
detectors we find an accuracy in the determination of the sky position of
typically a few tens of square degrees.
| astro-ph gr-qc | inspiral signals from binary compact objects black holes and neutron stars are primary targets of the ongoing searches by groundbased gravitationalwave interferometers ligo virgo geo600 and tama300 we present parameterestimation simulations for inspirals of blackholeneutronstar binaries using markovchain montecarlo methods for the first time we have both estimated the parameters of a binary inspiral source with a spinning component and determined the accuracy of the parameter estimation for simulated observations with groundbased gravitationalwave detectors we demonstrate that we can obtain the distance sky position and binary orientation at a higher accuracy than previously suggested in the literature for an observation of an inspiral with sufficient spin and two or three detectors we find an accuracy in the determination of the sky position of typically a few tens of square degrees | [['inspiral', 'signals', 'from', 'binary', 'compact', 'objects', 'black', 'holes', 'and', 'neutron', 'stars', 'are', 'primary', 'targets', 'of', 'the', 'ongoing', 'searches', 'by', 'groundbased', 'gravitationalwave', 'interferometers', 'ligo', 'virgo', 'geo600', 'and', 'tama300', 'we', 'present', 'parameterestimation', 'simulations', 'for', 'inspirals', 'of', 'blackholeneutronstar', 'binaries', 'using', 'markovchain', 'montecarlo', 'methods', 'for', 'the', 'first', 'time', 'we', 'have', 'both', 'estimated', 'the', 'parameters', 'of', 'a', 'binary', 'inspiral', 'source', 'with', 'a', 'spinning', 'component', 'and', 'determined', 'the', 'accuracy', 'of', 'the', 'parameter', 'estimation', 'for', 'simulated', 'observations', 'with', 'groundbased', 'gravitationalwave', 'detectors', 'we', 'demonstrate', 'that', 'we', 'can', 'obtain', 'the', 'distance', 'sky', 'position', 'and', 'binary', 'orientation', 'at', 'a', 'higher', 'accuracy', 'than', 'previously', 'suggested', 'in', 'the', 'literature', 'for', 'an', 'observation', 'of', 'an', 'inspiral', 'with', 'sufficient', 'spin', 'and', 'two', 'or', 'three', 'detectors', 'we', 'find', 'an', 'accuracy', 'in', 'the', 'determination', 'of', 'the', 'sky', 'position', 'of', 'typically', 'a', 'few', 'tens', 'of', 'square', 'degrees']] | [-0.13243125619080204, 0.11623376106178442, -0.033950205215324575, 0.06620845532743261, -0.0851730786765424, -0.028839299430211005, 0.010219728024318241, 0.4059850573969575, -0.1324997985878816, -0.370360352170582, 0.1070002058467183, -0.3268040465047726, -0.0736300648494552, 0.29020634316301974, 0.013243410686174264, 0.06421558778965845, 0.17502590258104297, -0.017748095729173376, -0.14375256809871645, -0.2456916685296724, 0.26895157395271013, 0.12435830262704538, 0.10506391287064897, -0.10605307336932478, 0.1334959033016975, 0.017064105751566017, -0.0744038150466692, -0.03922194868982143, -0.13194567358435821, 0.03454039732280832, 0.2907101075147064, 0.18804041150724515, 0.18546388864947053, -0.3799011140417021, -0.21397613685649747, 0.08077244056173816, 0.11566032392259401, 0.12208130889787124, -0.06261415981974167, -0.3564322528706935, 0.06839489467227115, -0.2669339378292744, -0.12411828290026349, -0.0009457862864320095, 0.05462187875348788, 0.08512510550924791, -0.23485244571302946, 0.06947959351371258, 0.025025073109337916, -0.003634544418981442, -0.10144785694831696, -0.12497365735471248, 0.01895919842287325, 0.10235271666897461, 0.012954597963163486, 0.0705813327159446, 0.13657740978524088, -0.13177668565454392, -0.14873315690156932, 0.3307651833819154, -0.087063990324364, -0.13418609180125013, 0.18353152731970812, -0.219369228116165, -0.15729196726774367, 0.13400536527355703, 0.21153365943151026, 0.19335376462684228, -0.16143846473871515, -0.019797221032562307, 0.09808077734465209, 0.26661996010404365, 0.10355735286138952, 0.04933965057134628, 0.3529532898038339, 0.18958838475294984, 0.05406837457110389, 0.11338839262114982, -0.30270881271347977, 0.002416522163324631, -0.25210409750938056, -0.058780953875975685, -0.190076399458429, 0.03334513143636286, -0.14280347414616978, -0.11547102868700257, 0.3455548666632519, 0.14269719642873566, 0.14553259427730852, 0.06346127436353037, 0.32961891891869666, 0.05709824267228564, 0.02382492440251204, 0.04327210051079209, 0.38668222803210556, 0.10270931445277082, 0.03390735624931179, -0.1794748172826635, 0.026093598727423412, 0.010324742904720971] |
710.1898 | On moduli spaces of quiver representations associated with dimer models | We give a sufficient condition for the moduli space of quiver representations
associated with a dimer model to be smooth for a general stability parameter.
We also show that the moduli space in this case is a crepant resolution of the
toric variety determined by the Newton polygon of the characteristic
polynomial.
| math.AG | we give a sufficient condition for the moduli space of quiver representations associated with a dimer model to be smooth for a general stability parameter we also show that the moduli space in this case is a crepant resolution of the toric variety determined by the newton polygon of the characteristic polynomial | [['we', 'give', 'a', 'sufficient', 'condition', 'for', 'the', 'moduli', 'space', 'of', 'quiver', 'representations', 'associated', 'with', 'a', 'dimer', 'model', 'to', 'be', 'smooth', 'for', 'a', 'general', 'stability', 'parameter', 'we', 'also', 'show', 'that', 'the', 'moduli', 'space', 'in', 'this', 'case', 'is', 'a', 'crepant', 'resolution', 'of', 'the', 'toric', 'variety', 'determined', 'by', 'the', 'newton', 'polygon', 'of', 'the', 'characteristic', 'polynomial']] | [-0.15653668374467927, 0.05861883875555717, -0.12145513392841586, 0.07627810811838852, -0.10451122043797603, -0.13787799351848662, -0.023184014743982025, 0.33947193941387993, -0.33930070289912134, -0.20662293661063394, 0.12399814536463684, -0.128063755396467, -0.17988537721192607, 0.1899210340477741, -0.14365609806890672, -0.006941004512974849, 0.08156656318057615, 0.039813619205513254, -0.11580956264739282, -0.33923050979725444, 0.41868174171003586, -0.000270598353101657, 0.2258672987182553, 0.057114943056009136, 0.15226219474481276, -0.004353099878734121, 0.06390829925658181, 0.04821762637696408, -0.20576893653378647, 0.12985759124589655, 0.28471123394914544, 0.07725673730377682, 0.14667263239747486, -0.3647193474910007, -0.1810192828729319, 0.22260012690765926, 0.10596992124695905, 0.08606467589449424, -0.00730265062660552, -0.22504055309736243, 0.10513573537509029, -0.12287080637179315, -0.21766600563513258, -0.10567505064850244, 0.03671373348109997, 0.03216159054472183, -0.2837422924237147, -0.010619936068206489, 0.03237125098418731, 0.11971123921326719, -0.0996013400503076, -0.04981385836547885, -0.061233301826107964, 0.013099206754794488, -0.037976400640148386, 0.07216335660240684, 0.025165921739804056, -0.17318184121708888, -0.07060009187373978, 0.3854847876355052, -0.05915232361831631, -0.2778347548955935, 0.11390501167625189, -0.15856186281710577, -0.1357778927597862, 0.17670384659252775, 0.09634471958718048, 0.18068536994262382, 0.0009711525367143062, 0.16413669053536767, -0.11421700500739881, 0.10648548222245434, 0.07852062509538463, -0.000505314167150153, 0.1721471044091651, 0.14015169966464433, 0.08551785844163252, 0.17349964242133026, -0.05830183589513091, -0.07528953877492593, -0.40002467232541394, -0.21429510978766933, -0.14559673343767196, 0.09954233111168903, -0.17957084595512313, -0.15378646040335298, 0.42811261455958277, 0.04614209109702362, 0.27886144757772297, 0.12348629254847765, 0.21618060516909912, 0.07149011119998669, 0.0116399171618888, -0.0016781665080298597, 0.1622343894201689, 0.13346618238854438, 0.008540378865570976, -0.2052247585469069, -0.02085343360578498, 0.20118528081534] |
710.1899 | Additional Constants of Motion for a Discretization of the
Calogero--Moser Model | The maximal super-integrability of a discretization of the Calogero--Moser
model introduced by Nijhoff and Pang is presented. An explicit formula for the
additional constants of motion is given.
| nlin.SI | the maximal superintegrability of a discretization of the calogeromoser model introduced by nijhoff and pang is presented an explicit formula for the additional constants of motion is given | [['the', 'maximal', 'superintegrability', 'of', 'a', 'discretization', 'of', 'the', 'calogeromoser', 'model', 'introduced', 'by', 'nijhoff', 'and', 'pang', 'is', 'presented', 'an', 'explicit', 'formula', 'for', 'the', 'additional', 'constants', 'of', 'motion', 'is', 'given']] | [-0.15830256590353592, 0.10699621154396612, -0.07388071220235101, 0.03434037128629695, -0.09078144514933228, -0.1481921548921881, -0.004302752345600831, 0.2547775711864233, -0.2594365637217249, -0.2506384262482503, 0.09486528647227845, -0.2557866493007168, -0.1407627958937415, 0.19412369450687297, -0.12965472751030965, 0.08428673259913921, 0.03480517587325137, 0.030417956145746366, -0.05045046574170036, -0.22337365809029766, 0.29227502360923346, 0.06568286754190922, 0.17626228067092597, 0.08861130456041012, 0.22467565489932895, 0.05067264706095947, -0.05825858616403171, -0.09064499315406595, -0.20449926155353232, 0.18476946715132467, 0.15572836423026665, 0.0600162916816771, 0.17030333168804646, -0.3168470047946487, -0.14522086539571838, 0.07575470631543015, 0.13556252396665514, 0.09699146788833397, -0.027700565655582716, -0.30888308014255017, 0.02854715204531593, -0.2001995545412813, -0.2317736249450328, -0.08663621864148549, 0.12205262149551085, 0.02841542295313307, -0.30023710802197456, 0.08657581013228212, 0.14421736162954144, 0.12188151704945735, -0.11277016990685038, -0.11320293952095588, -0.058919890384588926, 0.07345114606765232, 0.009475245152965986, -0.00460511351203812, -0.024312873237899373, -0.07649004326335021, -0.14400579540857247, 0.39981603037033764, -0.038628146019099016, -0.33965850102582146, 0.07834646065852471, -0.05687923418424491, -0.07197918154166214, 0.10284941937840943, 0.061782184056937695, 0.12707779450075968, -0.16679889908326523, 0.18397975313668471, -0.08316657176640417, 0.09887692338920065, 0.07130820793099701, -0.03849780985287258, 0.03601964297039168, 0.11129917929481183, 0.051131312286348214, 0.14687006854053056, 0.014612931891211442, -0.12635339606952453, -0.40171056234144736, -0.20472810271063022, -0.17887124971353582, 0.046991779535476653, -0.126310169430196, -0.12797458044120244, 0.3711940521108253, 0.06531800043636135, 0.1691047099551984, 0.04313327678080116, 0.23448502871906385, 0.19209393416531384, 0.04194274212100676, 0.024200460075267723, 0.18209819153084286, 0.20116607546307413, 0.011844347447289951, -0.2639132447906637, 0.022050242555061623, 0.2650010293083532] |
710.19 | Experimentally scalable protocol for identification of correctable codes | The task of finding a correctable encoding that protects against some
physical quantum process is in general hard. Two main obstacles are that an
exponential number of experiments are needed to gain complete information about
the quantum process, and known algorithmic methods for finding correctable
encodings involve operations on exponentially large matrices. However, we show
that in some cases it is possible to find such encodings with only partial
information about the quantum process. Such useful partial information can be
systematically extracted by averaging the channel under the action of a set of
unitaries in a process known as "twirling". In this paper we prove that
correctable encodings for a twirled channel are also correctable for the
original channel. We investigate the particular case of twirling over the set
of Pauli operators and qubit permutations, and show that the resulting quantum
operation can be characterized experimentally in a scalable manner. We also
provide a postprocessing scheme for finding unitarily correctable codes for
these twirled channels which does not involve exponentially large matrices.
| quant-ph | the task of finding a correctable encoding that protects against some physical quantum process is in general hard two main obstacles are that an exponential number of experiments are needed to gain complete information about the quantum process and known algorithmic methods for finding correctable encodings involve operations on exponentially large matrices however we show that in some cases it is possible to find such encodings with only partial information about the quantum process such useful partial information can be systematically extracted by averaging the channel under the action of a set of unitaries in a process known as twirling in this paper we prove that correctable encodings for a twirled channel are also correctable for the original channel we investigate the particular case of twirling over the set of pauli operators and qubit permutations and show that the resulting quantum operation can be characterized experimentally in a scalable manner we also provide a postprocessing scheme for finding unitarily correctable codes for these twirled channels which does not involve exponentially large matrices | [['the', 'task', 'of', 'finding', 'a', 'correctable', 'encoding', 'that', 'protects', 'against', 'some', 'physical', 'quantum', 'process', 'is', 'in', 'general', 'hard', 'two', 'main', 'obstacles', 'are', 'that', 'an', 'exponential', 'number', 'of', 'experiments', 'are', 'needed', 'to', 'gain', 'complete', 'information', 'about', 'the', 'quantum', 'process', 'and', 'known', 'algorithmic', 'methods', 'for', 'finding', 'correctable', 'encodings', 'involve', 'operations', 'on', 'exponentially', 'large', 'matrices', 'however', 'we', 'show', 'that', 'in', 'some', 'cases', 'it', 'is', 'possible', 'to', 'find', 'such', 'encodings', 'with', 'only', 'partial', 'information', 'about', 'the', 'quantum', 'process', 'such', 'useful', 'partial', 'information', 'can', 'be', 'systematically', 'extracted', 'by', 'averaging', 'the', 'channel', 'under', 'the', 'action', 'of', 'a', 'set', 'of', 'unitaries', 'in', 'a', 'process', 'known', 'as', 'twirling', 'in', 'this', 'paper', 'we', 'prove', 'that', 'correctable', 'encodings', 'for', 'a', 'twirled', 'channel', 'are', 'also', 'correctable', 'for', 'the', 'original', 'channel', 'we', 'investigate', 'the', 'particular', 'case', 'of', 'twirling', 'over', 'the', 'set', 'of', 'pauli', 'operators', 'and', 'qubit', 'permutations', 'and', 'show', 'that', 'the', 'resulting', 'quantum', 'operation', 'can', 'be', 'characterized', 'experimentally', 'in', 'a', 'scalable', 'manner', 'we', 'also', 'provide', 'a', 'postprocessing', 'scheme', 'for', 'finding', 'unitarily', 'correctable', 'codes', 'for', 'these', 'twirled', 'channels', 'which', 'does', 'not', 'involve', 'exponentially', 'large', 'matrices']] | [-0.14628134790786304, 0.15037420229131132, -0.04861525614031179, 0.09354592796888367, -0.018609020218718797, -0.18471361288995763, 0.08406678340492532, 0.402683948578183, -0.31278678637571894, -0.26443920046805813, 0.13369747664343545, -0.2377948850057586, -0.16773838777775973, 0.2382595881909067, -0.10133084182649157, 0.11343802970111218, 0.10857079833269466, 0.05423195539248788, -0.08660173444733901, -0.2893877038244851, 0.3172904478553899, 0.02770777856173037, 0.2335038390064742, 0.027471333228763693, 0.09031071774878127, 0.015108509779756153, -0.031055330931849312, 0.0032657203055456445, -0.08352866832429691, 0.07746439465987605, 0.29767500275345304, 0.1952999354120842, 0.2272060971360567, -0.41688135915522484, -0.1920454147661668, 0.12121164878264482, 0.15423303383110135, 0.19100001003514694, -0.05654730185322182, -0.27492024023139977, 0.12219427807830534, -0.1603316103303155, -0.030069017433561385, -0.12563858371292955, 0.0002462987322360277, -0.03141241013627434, -0.306542836305642, 0.033362967664373196, 0.12474118760038373, 0.010018313438956475, 0.029227385951238576, -0.08439754173200209, 0.043556209160881335, 0.14056029783421045, -0.0304715110301744, -0.010893004989051151, 0.11452262556494408, -0.0950994735900421, -0.13938332368960865, 0.3479762738570571, -0.006939671767149987, -0.23331845086609382, 0.1413624767132163, -0.11272248146828091, -0.12615105778325436, 0.10861427359402093, 0.15209716171849258, 0.11084201784674512, -0.16184523924819713, 0.07235268782316653, -0.06640128024344788, 0.19117048649160667, 0.06022589008166823, 0.15035944592057413, 0.13587116675862912, 0.08540556715567174, 0.11496427908017257, 0.17388659914776813, -0.030791501594479954, -0.11372742068521992, -0.31648485500062273, -0.15666526443119225, -0.18847228730703855, 0.0790473682526533, -0.08666584307206375, -0.16005134556529133, 0.35393166778612795, 0.16682651056231237, 0.18390201975802653, 0.08629134895759201, 0.27770429595135326, 0.09559490314368727, 0.07873238888562407, 0.11815522772680155, 0.17553380046677397, 0.12737731833341207, 0.00027229765979681426, -0.18001501418130342, 0.1050011745307508, 0.024094814190987583] |
710.1901 | Robin functions for complex manifolds and applications | We prove a generalization of the second variation formula of the Robin
function associated to a smooth variation of domains in C^N to the case of the
c-Robin function associated to a smooth variation of domains in a complex
manifold M equipped with a Hermitian metric and a smooth, nonnegative function
c. Our purpose is that, with this added flexibility, we are able to give a
criterion for a bounded, smoothly bounded, pseudoconvex domain D in a complex
homogeneous space to be Stein.
| math.CV | we prove a generalization of the second variation formula of the robin function associated to a smooth variation of domains in cn to the case of the crobin function associated to a smooth variation of domains in a complex manifold m equipped with a hermitian metric and a smooth nonnegative function c our purpose is that with this added flexibility we are able to give a criterion for a bounded smoothly bounded pseudoconvex domain d in a complex homogeneous space to be stein | [['we', 'prove', 'a', 'generalization', 'of', 'the', 'second', 'variation', 'formula', 'of', 'the', 'robin', 'function', 'associated', 'to', 'a', 'smooth', 'variation', 'of', 'domains', 'in', 'cn', 'to', 'the', 'case', 'of', 'the', 'crobin', 'function', 'associated', 'to', 'a', 'smooth', 'variation', 'of', 'domains', 'in', 'a', 'complex', 'manifold', 'm', 'equipped', 'with', 'a', 'hermitian', 'metric', 'and', 'a', 'smooth', 'nonnegative', 'function', 'c', 'our', 'purpose', 'is', 'that', 'with', 'this', 'added', 'flexibility', 'we', 'are', 'able', 'to', 'give', 'a', 'criterion', 'for', 'a', 'bounded', 'smoothly', 'bounded', 'pseudoconvex', 'domain', 'd', 'in', 'a', 'complex', 'homogeneous', 'space', 'to', 'be', 'stein']] | [-0.16042161417170997, 0.023058755899688636, -0.08372789812160701, 0.055894284395546445, -0.13448776721545472, -0.1389169340169557, 0.00519320652706594, 0.3789061487697792, -0.2937424350529909, -0.20833155716110657, 0.09362182343838646, -0.2329850008870225, -0.1791651282720722, 0.17160101318107238, -0.14052017590757915, 0.02169584396590547, 0.04478757942759818, 0.06231464918634695, -0.13477899258808665, -0.23992455907438587, 0.41762045070120113, -0.09183327021168136, 0.17452379889649952, 0.09556642708527606, 0.11729880128183229, -0.04471902131307416, 0.015438789070197722, 0.05327979391745984, -0.14440842166235288, 0.18063615532535152, 0.2523393592706359, 0.08367045786765563, 0.27679643141696364, -0.33889790676625037, -0.23249221310905385, 0.2011730143823093, 0.08618559406661405, -0.020872162325625738, 0.0011214506883378617, -0.27247469020132886, 0.1298039330158201, -0.10830894688416909, -0.21146791619135114, -0.03790345810717199, 0.060455120532069265, 0.0348906181355166, -0.33067813215822706, 0.018861261389513568, 0.09782564691154332, 0.035660157105977724, -0.10788657731467449, -0.06516212795111465, -0.020395280682572688, 0.06714605240764596, -0.02180634266072203, 0.1729546405897453, 0.05378388560081764, -0.05720456010128212, -0.0445432323712583, 0.3339806172837753, -0.15482880911085664, -0.3566125068222968, 0.18339041162781963, -0.15683548813742562, -0.09851754658923643, 0.12561556019979278, 0.18392948443126841, 0.19444104563444853, -0.0755184776740285, 0.14132491801794414, -0.03559570064450183, 0.13349114406127027, 0.06352761854054179, -0.04216491521290708, 0.08772041276097298, 0.13120572205928221, 0.1804388212948674, 0.18802262410924703, -0.012016120981481835, -0.07986195974915129, -0.35237180341671154, -0.19188770005002437, -0.2183807863876587, 0.10008983224312343, -0.11094766356623817, -0.23474527963596145, 0.39034057587453325, -0.031152098916652726, 0.2841845440973596, 0.11769210490420824, 0.2280204137332919, 0.07402576261523702, 0.05505401569151706, 0.04937215081824944, 0.09832438749329346, 0.1670953692362939, 0.11198734721486889, -0.15722065059100448, 0.02215766776409909, 0.06061881258281618] |
710.1902 | Decompositions of Laurent polynomials | In the 1920's, Ritt studied the operation of functional composition g o h(x)
= g(h(x)) on complex rational functions. In the case of polynomials, he
described all the ways in which a polynomial can have multiple `prime
factorizations' with respect to this operation. Despite significant effort by
Ritt and others, little progress has been made towards solving the analogous
problem for rational functions. In this paper we use results of Avanzi--Zannier
and Bilu--Tichy to prove analogues of Ritt's results for decompositions of
Laurent polynomials, i.e., rational functions with denominator a power of x.
| math.NT math.AG | in the 1920s ritt studied the operation of functional composition g o hx ghx on complex rational functions in the case of polynomials he described all the ways in which a polynomial can have multiple prime factorizations with respect to this operation despite significant effort by ritt and others little progress has been made towards solving the analogous problem for rational functions in this paper we use results of avanzizannier and bilutichy to prove analogues of ritts results for decompositions of laurent polynomials ie rational functions with denominator a power of x | [['in', 'the', '1920s', 'ritt', 'studied', 'the', 'operation', 'of', 'functional', 'composition', 'g', 'o', 'hx', 'ghx', 'on', 'complex', 'rational', 'functions', 'in', 'the', 'case', 'of', 'polynomials', 'he', 'described', 'all', 'the', 'ways', 'in', 'which', 'a', 'polynomial', 'can', 'have', 'multiple', 'prime', 'factorizations', 'with', 'respect', 'to', 'this', 'operation', 'despite', 'significant', 'effort', 'by', 'ritt', 'and', 'others', 'little', 'progress', 'has', 'been', 'made', 'towards', 'solving', 'the', 'analogous', 'problem', 'for', 'rational', 'functions', 'in', 'this', 'paper', 'we', 'use', 'results', 'of', 'avanzizannier', 'and', 'bilutichy', 'to', 'prove', 'analogues', 'of', 'ritts', 'results', 'for', 'decompositions', 'of', 'laurent', 'polynomials', 'ie', 'rational', 'functions', 'with', 'denominator', 'a', 'power', 'of', 'x']] | [-0.14289298398653044, 0.0288223823118541, -0.09214127857445015, 0.02999465907147775, -0.060525642707943916, -0.10778446786312593, 0.01769139118001072, 0.35583658105590277, -0.31061323049167794, -0.24328554528571356, 0.08152785127361616, -0.26055974097301565, -0.17002387781523995, 0.20462529371596044, -0.11107452344984065, 0.07857942235811304, 0.01170317775880297, 0.034828855852699944, -0.10305799481769402, -0.3172110674695836, 0.34625808343084324, 0.0021534691875179607, 0.1744897093416916, 0.034822078830459055, 0.09673564861683796, 0.001615821916816963, -0.0548980989959091, -0.031125830945610587, -0.11719157121195975, 0.1342908780129316, 0.33901824189556967, 0.11690680822357535, 0.302621727105644, -0.4232853632627262, -0.13137757846464712, 0.19391784063385178, 0.15832558343083494, -0.020947366804143205, -0.04105528454399771, -0.19127893023348103, 0.0738499142229557, -0.16563365165558125, -0.18193782469154232, -0.08732335002989405, 0.08288905591083069, 0.06654526661667559, -0.2418526692729857, -0.02177464047757288, 0.07871889761752553, 0.114020411680556, -0.0168464627996501, -0.19996463319079744, 0.02431753969544338, 0.07334852004423738, 0.012111175577673647, 0.06164636385057949, 0.018363115853733486, -0.13902919971798028, -0.14002236919477581, 0.34688661865269144, -0.04129775433361323, -0.21799415276618675, 0.14145618765097526, -0.1947081833405213, -0.22077494737588696, 0.10967203192412853, 0.10320695739032494, 0.13885233919653628, -0.0672287048254576, 0.17121254105206593, -0.11289738491177559, 0.08630691717909132, 0.15676997560076417, 0.01646385070837116, 0.1354623129280905, 0.040127916414187184, 0.04448095714518179, 0.13282149581031666, 0.07011859719382806, -0.05944274563031892, -0.24858649036290847, -0.17049369770554929, -0.13052764616829032, 0.08988456790102646, -0.05966435910377186, -0.15596582031705314, 0.40517760515213014, 0.05209344453178346, 0.15906097134575248, 0.08458401012143844, 0.24024015934103066, 0.1456109885333313, 0.06308446107432246, 0.020964999352064397, 0.161523922946718, 0.1966876476459826, 0.07551034178921125, -0.13986170340989096, 0.08434885498136283, 0.15380342461479207] |
710.1903 | Cosmic Strings and Weak Gravitational Lensing | We study the deflection of light in the background of a "wiggly" cosmic
string, and investigate whether it is possible to detect cosmic strings by
means of weak gravitational lensing. For straight strings without small-scale
structure there are no signals. In the case of strings with small-scale
structure leading to a local gravitational attractive force towards the string,
there is a small signal, namely a preferential elliptical distortion of the
shape of background galaxies in the direction corresponding to the projection
of the string onto the sky. The signal can be statistically distinguished from
the signal produced by a linear distribution of black holes by employing an
ellipticity axis distribution statistic.
| astro-ph | we study the deflection of light in the background of a wiggly cosmic string and investigate whether it is possible to detect cosmic strings by means of weak gravitational lensing for straight strings without smallscale structure there are no signals in the case of strings with smallscale structure leading to a local gravitational attractive force towards the string there is a small signal namely a preferential elliptical distortion of the shape of background galaxies in the direction corresponding to the projection of the string onto the sky the signal can be statistically distinguished from the signal produced by a linear distribution of black holes by employing an ellipticity axis distribution statistic | [['we', 'study', 'the', 'deflection', 'of', 'light', 'in', 'the', 'background', 'of', 'a', 'wiggly', 'cosmic', 'string', 'and', 'investigate', 'whether', 'it', 'is', 'possible', 'to', 'detect', 'cosmic', 'strings', 'by', 'means', 'of', 'weak', 'gravitational', 'lensing', 'for', 'straight', 'strings', 'without', 'smallscale', 'structure', 'there', 'are', 'no', 'signals', 'in', 'the', 'case', 'of', 'strings', 'with', 'smallscale', 'structure', 'leading', 'to', 'a', 'local', 'gravitational', 'attractive', 'force', 'towards', 'the', 'string', 'there', 'is', 'a', 'small', 'signal', 'namely', 'a', 'preferential', 'elliptical', 'distortion', 'of', 'the', 'shape', 'of', 'background', 'galaxies', 'in', 'the', 'direction', 'corresponding', 'to', 'the', 'projection', 'of', 'the', 'string', 'onto', 'the', 'sky', 'the', 'signal', 'can', 'be', 'statistically', 'distinguished', 'from', 'the', 'signal', 'produced', 'by', 'a', 'linear', 'distribution', 'of', 'black', 'holes', 'by', 'employing', 'an', 'ellipticity', 'axis', 'distribution', 'statistic']] | [-0.17232305509707396, 0.12525156107618418, -0.09373810043273208, 0.12732748819204667, -0.07889961519672929, -0.041635383950412136, -0.01402871992422251, 0.3628776354362836, -0.2752402220592574, -0.28825504868920593, 0.04525990083264103, -0.2929415767257278, -0.08371165778219432, 0.17931102229668214, 0.007507225390056831, 0.01206424244603998, -0.009382360266639037, 0.031102351427942446, -0.0362886105258194, -0.21005562323497962, 0.33006870064062177, 0.13378879082439518, 0.26789266263713707, -0.04881549752023709, 0.09369114402320806, 0.0016147755422033705, -0.07256975253154566, 0.0683992825477879, -0.08790044052220108, 0.0630476440576761, 0.17920393840334303, 0.15289661446418445, 0.15451565046316465, -0.4399479704128729, -0.21774037569962643, 0.15489065707954872, 0.1419418755570544, 0.16848668820635826, -0.11216398346372083, -0.2935730455137017, 0.11414628876540978, -0.10062871998394127, -0.1337022612627537, 0.03532139540373071, 0.0431923809071147, 0.034740190581745795, -0.21480900370243197, 0.11977492593363062, 0.07617766128880232, 0.002973800382434248, -0.014767559710890055, -0.001943816388915251, -0.008974558682189332, 0.086085014745828, 0.11617630541425299, 0.12030288755163751, 0.15487807964788633, -0.17099395630092504, -0.0896453768107201, 0.4095076642057917, -0.09984732690573511, -0.19827509570975896, 0.11618238880492009, -0.185103066836123, -0.11322015181796306, 0.16228363821534691, 0.1649466833217187, 0.07541552777475519, -0.15331215572387172, 0.10377588380612685, 0.01796344746961384, 0.189949528993787, 0.14067014669244354, 0.016450724773201253, 0.37534498309229947, 0.09913668099388077, 0.09080948152050779, 0.1590173454390973, -0.17043888026026185, -0.01694806310744654, -0.29384188000941314, -0.06622254705006206, -0.17574965442648274, 0.07317916126732991, -0.14188077473509028, -0.21268598815879305, 0.3718210841436778, 0.08070981920789089, 0.2255225339065398, 0.011598633405089646, 0.28432786353273964, 0.05103122966305294, 0.044323530413109706, 0.043841453516637686, 0.31378440338665164, 0.15778879720407227, 0.05081316429874146, -0.20097450951118492, 0.027906282985297678, 0.03959099417300643] |
710.1904 | Relativistic generalization of Brownian Motion | The relativistic generalization of the Brownian motion is discussed. We show
that the transformation property of the noise term is determined by requiring
for the equilibrium distribution function to be Lorentz invariant, such as the
J\"uttner distribution function. It is shown that this requirement generates an
entanglement between the force term and the noise so that the noise itself
should not be a covariant quantity.
| hep-th cond-mat.stat-mech hep-ph | the relativistic generalization of the brownian motion is discussed we show that the transformation property of the noise term is determined by requiring for the equilibrium distribution function to be lorentz invariant such as the juttner distribution function it is shown that this requirement generates an entanglement between the force term and the noise so that the noise itself should not be a covariant quantity | [['the', 'relativistic', 'generalization', 'of', 'the', 'brownian', 'motion', 'is', 'discussed', 'we', 'show', 'that', 'the', 'transformation', 'property', 'of', 'the', 'noise', 'term', 'is', 'determined', 'by', 'requiring', 'for', 'the', 'equilibrium', 'distribution', 'function', 'to', 'be', 'lorentz', 'invariant', 'such', 'as', 'the', 'juttner', 'distribution', 'function', 'it', 'is', 'shown', 'that', 'this', 'requirement', 'generates', 'an', 'entanglement', 'between', 'the', 'force', 'term', 'and', 'the', 'noise', 'so', 'that', 'the', 'noise', 'itself', 'should', 'not', 'be', 'a', 'covariant', 'quantity']] | [-0.11717289028366884, 0.16514713598903305, -0.16676853903784203, 0.09481712521340412, -0.05750116377782363, -0.09754836436790916, -0.035278828671345346, 0.35759165023381895, -0.3394672555848956, -0.26649740524590015, 0.042122705674801884, -0.2512104818955637, -0.18558252300493994, 0.14724290418223693, -0.08225454787293879, 0.06085707728679363, 0.015191870046636233, 0.062293127960023974, -0.03690290721849753, -0.20075401339966517, 0.32398593223725375, 0.1103580062205975, 0.2767822234676434, 0.04539155129773113, 0.16420585002320318, -0.010616315915607489, -0.005642445623659744, 0.04052975743722457, -0.07157432468274447, 0.010797533579170704, 0.13208170599805621, 0.10623789280653, 0.23756506190850185, -0.3373441875267487, -0.2400797489600686, 0.12670967320983226, 0.08723163940012454, 0.10407919814953437, -0.032612505125311705, -0.28234982459017866, 0.05119014375198346, -0.1831884164470606, -0.15306981950281903, -0.11513720222104054, 0.05002068726775738, 0.006534332294876759, -0.3179408587013873, 0.10805200039999013, 0.12466916324427495, -0.0037940919746268682, -0.02751439710219319, -0.0577669257692133, -0.021686991948920948, 0.11910067808885987, 0.09598621862510649, 0.09471077157471042, 0.1848520140378521, -0.14589205521445434, -0.04073578524582375, 0.4130332670819301, -0.09642603382324944, -0.33478746519629987, 0.10186562474745398, -0.1539289642143278, -0.10972593799233436, 0.10038794508347144, 0.03790299438226682, 0.07929698684467719, -0.22331779854228864, 0.07895473006736631, -0.028944453267523877, 0.1691458738194062, 0.042229363295392924, 0.06877232651727704, 0.17214485984295608, 0.08489962445142177, 0.11792634258476588, 0.16912162226911348, -0.06747250935206046, -0.10465313413968454, -0.3647991198616532, -0.17204530789301944, -0.27423917772248385, 0.08880753275387598, -0.05590707687549114, -0.15920486166634454, 0.3342770653848465, 0.1317824563727929, 0.17604809208558156, 0.05505915227561043, 0.2908055897802114, 0.2341503831038538, 0.086024130279055, 0.07643587419476647, 0.26577535185676354, 0.10805162629470802, 0.06461542972829193, -0.2425273525976361, 0.09339722334765471, 0.06745554924799273] |
710.1905 | Nonextensive hydrodynamics for relativistic heavy-ion collisions | The nonextensive one-dimensional version of a hydrodynamical model for
multiparticle production processes is proposed and discussed. It is based on
nonextensive statistics assumed in the form proposed by Tsallis and
characterized by a nonextensivity parameter $q$. In this formulation the
parameter $q$ characterizes some specific form of local equilibrium which is
characteristic for the nonextensive thermodynamics and which replaces the usual
local thermal equilibrium assumption of the usual hydrodynamical models. We
argue that there is correspondence between the perfect nonextensive
hydrodynamics and the usual dissipative hydrodynamics. It leads to simple
expression for dissipative entropy current and allows for predictions for the
ratio of bulk and shear viscosities to entropy density, $\zeta/s$ and $\eta/s$,
to be made.
| nucl-th hep-ph | the nonextensive onedimensional version of a hydrodynamical model for multiparticle production processes is proposed and discussed it is based on nonextensive statistics assumed in the form proposed by tsallis and characterized by a nonextensivity parameter q in this formulation the parameter q characterizes some specific form of local equilibrium which is characteristic for the nonextensive thermodynamics and which replaces the usual local thermal equilibrium assumption of the usual hydrodynamical models we argue that there is correspondence between the perfect nonextensive hydrodynamics and the usual dissipative hydrodynamics it leads to simple expression for dissipative entropy current and allows for predictions for the ratio of bulk and shear viscosities to entropy density zetas and etas to be made | [['the', 'nonextensive', 'onedimensional', 'version', 'of', 'a', 'hydrodynamical', 'model', 'for', 'multiparticle', 'production', 'processes', 'is', 'proposed', 'and', 'discussed', 'it', 'is', 'based', 'on', 'nonextensive', 'statistics', 'assumed', 'in', 'the', 'form', 'proposed', 'by', 'tsallis', 'and', 'characterized', 'by', 'a', 'nonextensivity', 'parameter', 'q', 'in', 'this', 'formulation', 'the', 'parameter', 'q', 'characterizes', 'some', 'specific', 'form', 'of', 'local', 'equilibrium', 'which', 'is', 'characteristic', 'for', 'the', 'nonextensive', 'thermodynamics', 'and', 'which', 'replaces', 'the', 'usual', 'local', 'thermal', 'equilibrium', 'assumption', 'of', 'the', 'usual', 'hydrodynamical', 'models', 'we', 'argue', 'that', 'there', 'is', 'correspondence', 'between', 'the', 'perfect', 'nonextensive', 'hydrodynamics', 'and', 'the', 'usual', 'dissipative', 'hydrodynamics', 'it', 'leads', 'to', 'simple', 'expression', 'for', 'dissipative', 'entropy', 'current', 'and', 'allows', 'for', 'predictions', 'for', 'the', 'ratio', 'of', 'bulk', 'and', 'shear', 'viscosities', 'to', 'entropy', 'density', 'zetas', 'and', 'etas', 'to', 'be', 'made']] | [-0.0960387836776449, 0.15304324513397596, -0.17563827681066146, 0.08470753809850631, -0.022840048531712644, -0.14788640565881184, -0.022020476216907968, 0.23337750612147923, -0.2569883337228334, -0.24305235759901075, -0.01479136103820377, -0.27938317412177827, -0.08233913483403238, 0.16519349171772021, -0.02727054263432992, 0.10156102049774651, 8.566859118030246e-05, 0.0417179638030136, -0.06283347887300147, -0.19511087163720794, 0.33588920453370646, 0.08571932991115569, 0.3071659825308698, 0.06811432880128669, 0.08127405065721993, -0.0028649237496649912, -0.014866242170683108, 0.0934909996024638, -0.24776933903652615, 0.04178694562569003, 0.20990232390428493, 0.09638065982465471, 0.2029192390096984, -0.3732017283167305, -0.27261696209938363, 0.10721412315515094, 0.0788177622184619, 0.08313493473567711, 0.003504803852812419, -0.19618333707531466, 0.045688246585557174, -0.2482232822201632, -0.11347355003115432, -0.11766998578015522, 0.04883018144855982, -0.01078885003266021, -0.3268988909970584, 0.19853896539806837, 0.09508623357798004, 0.02683726621285916, -0.05460421638894457, -0.08719077895812948, -0.039383301579650365, -0.006268624469220382, 0.05501647413094078, -0.00470409489935264, 0.15659203220977738, -0.17014959307411556, -0.04635414044404852, 0.3926252834017164, -0.034154535098611535, -0.24341033749956767, 0.1946374105333736, -0.1448415564453422, -0.1076499392872612, 0.08206666663192727, 0.08769570421106343, 0.09414464514451663, -0.1627954737451891, 0.0905012402022137, -0.023420742966820774, 0.14363558782873764, 0.042582766361663055, -0.004761010035069595, 0.22737309284877547, 0.11132998623210809, -0.02264059949184543, 0.15508090702170538, -0.052948649071462066, -0.21584263509380278, -0.3462841610327877, -0.18407135977056518, -0.2305302985608658, 0.07650755014238429, -0.1301955168190912, -0.1652391375492102, 0.32377814287159207, 0.16864063352928998, 0.18648226202590037, 0.0358382226871166, 0.275366656373833, 0.18076777554534632, 0.004932211772217576, 0.09768678672643828, 0.25424178556969657, 0.18505946881988825, 0.1072164692590816, -0.23672938194318577, 0.07105318607224537, 0.1307230252764541] |
710.1906 | The interrelation between the generation of large-scale electric fields
and that of large-scale magnetic fields during inflation | The interrelation between the generation of large-scale electric fields and
that of large-scale magnetic fields due to the breaking of the conformal
invariance of the electromagnetic field in inflationary cosmology is studied.
It is shown that if large-scale magnetic fields with a sufficiently large
amplitude are generated during inflation, the generation of large-scale
electric fields is suppressed, and vice versa. Furthermore, a physical
interpretation of the result and its cosmological significance are considered.
| astro-ph hep-ph hep-th | the interrelation between the generation of largescale electric fields and that of largescale magnetic fields due to the breaking of the conformal invariance of the electromagnetic field in inflationary cosmology is studied it is shown that if largescale magnetic fields with a sufficiently large amplitude are generated during inflation the generation of largescale electric fields is suppressed and vice versa furthermore a physical interpretation of the result and its cosmological significance are considered | [['the', 'interrelation', 'between', 'the', 'generation', 'of', 'largescale', 'electric', 'fields', 'and', 'that', 'of', 'largescale', 'magnetic', 'fields', 'due', 'to', 'the', 'breaking', 'of', 'the', 'conformal', 'invariance', 'of', 'the', 'electromagnetic', 'field', 'in', 'inflationary', 'cosmology', 'is', 'studied', 'it', 'is', 'shown', 'that', 'if', 'largescale', 'magnetic', 'fields', 'with', 'a', 'sufficiently', 'large', 'amplitude', 'are', 'generated', 'during', 'inflation', 'the', 'generation', 'of', 'largescale', 'electric', 'fields', 'is', 'suppressed', 'and', 'vice', 'versa', 'furthermore', 'a', 'physical', 'interpretation', 'of', 'the', 'result', 'and', 'its', 'cosmological', 'significance', 'are', 'considered']] | [-0.2252530568225105, 0.24046349714267745, -0.022312709277061974, 0.09895039250123736, -0.09004577688158374, -0.05103889422185005, -0.06976255703054063, 0.3557333802319553, -0.2635578109487279, -0.32342800755717166, 0.10801136535624271, -0.177605934450658, -0.16537544169552523, 0.20044842598105028, 0.05079897317065768, -0.022344529655066715, 0.004301188921887581, 0.051401404638404716, -0.0013539120427345577, -0.23283071541673925, 0.32320350730051733, 0.08693378116323115, 0.31925502664741284, 0.05527139841004798, 0.08839378599077463, -0.06189179813412771, -0.03834176937449876, 0.05933647276195761, -0.045158737266718485, 0.09251615888604971, 0.1521534207851103, 0.11938933786068572, 0.23553747543427225, -0.42895189307834186, -0.21002947208662964, 0.13128879330159254, 0.0900949232714021, 0.1440868695100693, -0.10562960167849207, -0.28936544137254155, 0.11009229516151221, -0.09245775553257499, -0.11839754470585756, -0.10617526838785574, 0.03838415218880783, 0.004955433334593903, -0.31626055181051976, 0.10999969592037266, 0.05196137249801461, 0.06831002365542602, -0.0737466919698357, -0.015220641024563818, -0.06209975140398904, 0.07237381301820278, 0.16237254967523918, 0.09014311168113187, 0.16068645173600837, -0.2485006383735023, -0.09961258640436277, 0.4174302926427391, -0.08434466589186404, -0.14186775105150595, 0.16345961422544636, -0.1950975221339358, -0.11121973811253293, 0.09400379934590565, 0.15150267019714803, 0.07860554441210035, -0.085363030089193, 0.165147569697918, 0.0307088586922786, 0.11286446048992954, 0.0675511847135343, 0.03174655718652353, 0.3164061794746412, 0.11574768991375418, 0.02924802297190444, 0.1345437327782585, -0.07673696415141633, -0.08776768187877454, -0.32721585331306063, -0.11708907206376938, -0.18899236486790932, 0.07846588165537544, -0.09891654803076351, -0.1865753807802844, 0.4076588555583603, 0.18484082022161152, 0.14543452345421665, -0.02976862734107122, 0.31027318203617654, 0.11151956816599386, 0.08424367866644712, 0.05634158837596235, 0.31606403927076354, 0.2308473171385592, 0.1616493810194685, -0.22916232234772857, -0.026033259328607828, -0.0176425166683246] |
710.1907 | Cross sections for meson-meson nonresonant reactions | Meson-meson nonresonant reactions governed by the quark-interchange mechanism
are studied in a potential that is derived from QCD. S-wave elastic phase
shifts for I=2 \pi\pi and I=3/2 K \pi scattering are obtained with wave
functions determined by the central spin-independent term of the potential. The
reactions include inelastic scatterings of two mesons in the ground-state
pseudoscalar octet and the ground-state vector nonet. Cross sections for
reactions involving pion, rho, K and K^* indicate that mesonic interactions in
matter consisting of only K and K^* can be stronger than mesonic interactions
in matter consisting of only pions and rhos and the reaction of I=3/2 \pi K^*
\to \rho K is most important among the endothermic nonresonant reactions. By
the quark-interchange mechanism we can offer \sqrt s-dependences of phi
absorption cross sections in collisions with pion and rho and relevant average
cross sections what are very small for the reaction of I=1 \pi \phi \to K^* K^*
and remarkably large for the reaction of I=1 \rho \phi \to K^* K^*. It is found
from the \sqrt s-dependences of cross sections that rho and K^* creation cross
sections can be larger than their absorption cross sections, respectively.
| nucl-th | mesonmeson nonresonant reactions governed by the quarkinterchange mechanism are studied in a potential that is derived from qcd swave elastic phase shifts for i2 pipi and i32 k pi scattering are obtained with wave functions determined by the central spinindependent term of the potential the reactions include inelastic scatterings of two mesons in the groundstate pseudoscalar octet and the groundstate vector nonet cross sections for reactions involving pion rho k and k indicate that mesonic interactions in matter consisting of only k and k can be stronger than mesonic interactions in matter consisting of only pions and rhos and the reaction of i32 pi k to rho k is most important among the endothermic nonresonant reactions by the quarkinterchange mechanism we can offer sqrt sdependences of phi absorption cross sections in collisions with pion and rho and relevant average cross sections what are very small for the reaction of i1 pi phi to k k and remarkably large for the reaction of i1 rho phi to k k it is found from the sqrt sdependences of cross sections that rho and k creation cross sections can be larger than their absorption cross sections respectively | [['mesonmeson', 'nonresonant', 'reactions', 'governed', 'by', 'the', 'quarkinterchange', 'mechanism', 'are', 'studied', 'in', 'a', 'potential', 'that', 'is', 'derived', 'from', 'qcd', 'swave', 'elastic', 'phase', 'shifts', 'for', 'i2', 'pipi', 'and', 'i32', 'k', 'pi', 'scattering', 'are', 'obtained', 'with', 'wave', 'functions', 'determined', 'by', 'the', 'central', 'spinindependent', 'term', 'of', 'the', 'potential', 'the', 'reactions', 'include', 'inelastic', 'scatterings', 'of', 'two', 'mesons', 'in', 'the', 'groundstate', 'pseudoscalar', 'octet', 'and', 'the', 'groundstate', 'vector', 'nonet', 'cross', 'sections', 'for', 'reactions', 'involving', 'pion', 'rho', 'k', 'and', 'k', 'indicate', 'that', 'mesonic', 'interactions', 'in', 'matter', 'consisting', 'of', 'only', 'k', 'and', 'k', 'can', 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710.1908 | Pseudo-random number generator based on asymptotic deterministic
randomness | An approach to generate the pseudorandom-bit sequence from the asymptotic
deterministic randomness system is proposed in this Letter. We study the
characteristic of multi-value correspondence of the asymptotic deterministic
randomness constructed by the piecewise linear map and the noninvertible
nonlinearity transform, and then give the discretized systems in the finite
digitized state space. The statistic characteristics of the asymptotic
deterministic randomness are investigated numerically, such as stationary
probability density function and random-like behavior. Furthermore, we analyze
the dynamics of the symbolic sequence. Both theoretical and experimental
results show that the symbolic sequence of the asymptotic deterministic
randomness possesses very good cryptographic properties, which improve the
security of chaos based PRBGs and increase the resistance against entropy
attacks and symbolic dynamics attacks.
| nlin.CD | an approach to generate the pseudorandombit sequence from the asymptotic deterministic randomness system is proposed in this letter we study the characteristic of multivalue correspondence of the asymptotic deterministic randomness constructed by the piecewise linear map and the noninvertible nonlinearity transform and then give the discretized systems in the finite digitized state space the statistic characteristics of the asymptotic deterministic randomness are investigated numerically such as stationary probability density function and randomlike behavior furthermore we analyze the dynamics of the symbolic sequence both theoretical and experimental results show that the symbolic sequence of the asymptotic deterministic randomness possesses very good cryptographic properties which improve the security of chaos based prbgs and increase the resistance against entropy attacks and symbolic dynamics attacks | [['an', 'approach', 'to', 'generate', 'the', 'pseudorandombit', 'sequence', 'from', 'the', 'asymptotic', 'deterministic', 'randomness', 'system', 'is', 'proposed', 'in', 'this', 'letter', 'we', 'study', 'the', 'characteristic', 'of', 'multivalue', 'correspondence', 'of', 'the', 'asymptotic', 'deterministic', 'randomness', 'constructed', 'by', 'the', 'piecewise', 'linear', 'map', 'and', 'the', 'noninvertible', 'nonlinearity', 'transform', 'and', 'then', 'give', 'the', 'discretized', 'systems', 'in', 'the', 'finite', 'digitized', 'state', 'space', 'the', 'statistic', 'characteristics', 'of', 'the', 'asymptotic', 'deterministic', 'randomness', 'are', 'investigated', 'numerically', 'such', 'as', 'stationary', 'probability', 'density', 'function', 'and', 'randomlike', 'behavior', 'furthermore', 'we', 'analyze', 'the', 'dynamics', 'of', 'the', 'symbolic', 'sequence', 'both', 'theoretical', 'and', 'experimental', 'results', 'show', 'that', 'the', 'symbolic', 'sequence', 'of', 'the', 'asymptotic', 'deterministic', 'randomness', 'possesses', 'very', 'good', 'cryptographic', 'properties', 'which', 'improve', 'the', 'security', 'of', 'chaos', 'based', 'prbgs', 'and', 'increase', 'the', 'resistance', 'against', 'entropy', 'attacks', 'and', 'symbolic', 'dynamics', 'attacks']] | [-0.14185241404726792, 0.05714332612806174, -0.1389756845019292, 0.09044344070134684, -0.0047454492188990114, -0.14588329988376547, 0.07392148591170553, 0.3190271327815329, -0.3294228035180519, -0.21196504064525168, 0.10774079299493072, -0.24957979331569125, -0.2040625791453446, 0.19078965504498532, -0.0892266371869482, 0.15450811619230082, 0.022619953943649306, 0.034292039459493634, -0.03058185792178847, -0.2479522442406354, 0.3177915268577635, 0.03749826589676862, 0.3344111629082666, -0.03094812510535121, 0.1186613213038072, -0.020035636430839075, -0.02576510844034298, -0.009075540565390838, -0.1347169695987759, 0.0682748536618116, 0.2361064324543501, 0.16009952466314037, 0.26082513911339145, -0.4060757088940591, -0.18081542695484434, 0.10634668637843182, 0.11860577662397796, 0.13378534728641778, -0.04410414264323966, -0.3022055720289548, 0.12158042289471875, -0.17029638166325942, -0.11723439258688208, -0.11533508761785924, 0.0025050475475533554, 0.08793954222880226, -0.26691699646568545, 0.02738042362810423, 0.12217521297861822, 0.10399312221561559, -0.00976527900978302, -0.047093552644946614, -0.02866711950240036, 0.14772536910216635, 0.03572895147954114, -0.007622024217077221, 0.10253838021308184, -0.09459558105202935, -0.13243759741114142, 0.2927912294088552, -0.08042106732997732, -0.21222034262027592, 0.17287402278161607, -0.1126351867375585, -0.12137393131658124, 0.11671568607368196, 0.1597655439788165, 0.10051253585455318, -0.12771169720217584, 0.08809944715370269, -0.03405500963660112, 0.2005115965536485, 0.07278081899276004, 0.10695601511979476, 0.11865587363330027, 0.12593200471310412, 0.036199676563652854, 0.19636377013327244, -0.048205959742578366, -0.15625924115302042, -0.28030772181227803, -0.14450317325924214, -0.22281058692218114, 0.04131468251774398, -0.14483022059939685, -0.20573392912046984, 0.4099789023360548, 0.17482767396140844, 0.15406714305669691, 0.13722176168327374, 0.32337664457348486, 0.1348961957216185, -0.07708535658506056, 0.09008336160331964, 0.18304656813852488, 0.1311914842769814, 0.08171040638505171, -0.2638539397996889, 0.1334423834263968, 0.09961331346033452] |
710.1909 | In which Financial Markets do Mutual Fund Theorems hold true? | The Mutual Fund Theorem (MFT) is considered in a general semimartingale
financial market S with a finite time horizon T, where agents maximize expected
utility of terminal wealth. It is established that:
1) Let N be the wealth process of the num\'eraire portfolio (i.e. the optimal
portfolio for the log utility). If any path-independent option with maturity T
written on the num\'eraire portfolio can be replicated by trading \emph{only}
in N, then the (MFT) holds true for general utility functions, and the
num\'eraire portfolio may serve as mutual fund. This generalizes Merton's
classical result on Black-Scholes markets.
Conversely, under a supplementary weak completeness assumption, we show that
the validity of the (MFT) for general utility functions implies the same
replicability property for options on the num\'eraire portfolio described
above.
2) If for a given class of utility functions (i.e. investors) the (MFT) holds
true in all complete Brownian financial markets S, then all investors use the
same utility function U, which must be of HARA type. This is a result in the
spirit of the classical work by Cass and Stiglitz.
| q-fin.TR math.OC | the mutual fund theorem mft is considered in a general semimartingale financial market s with a finite time horizon t where agents maximize expected utility of terminal wealth it is established that 1 let n be the wealth process of the numeraire portfolio ie the optimal portfolio for the log utility if any pathindependent option with maturity t written on the numeraire portfolio can be replicated by trading emphonly in n then the mft holds true for general utility functions and the numeraire portfolio may serve as mutual fund this generalizes mertons classical result on blackscholes markets conversely under a supplementary weak completeness assumption we show that the validity of the mft for general utility functions implies the same replicability property for options on the numeraire portfolio described above 2 if for a given class of utility functions ie investors the mft holds true in all complete brownian financial markets s then all investors use the same utility function u which must be of hara type this is a result in the spirit of the classical work by cass and stiglitz | [['the', 'mutual', 'fund', 'theorem', 'mft', 'is', 'considered', 'in', 'a', 'general', 'semimartingale', 'financial', 'market', 's', 'with', 'a', 'finite', 'time', 'horizon', 't', 'where', 'agents', 'maximize', 'expected', 'utility', 'of', 'terminal', 'wealth', 'it', 'is', 'established', 'that', '1', 'let', 'n', 'be', 'the', 'wealth', 'process', 'of', 'the', 'numeraire', 'portfolio', 'ie', 'the', 'optimal', 'portfolio', 'for', 'the', 'log', 'utility', 'if', 'any', 'pathindependent', 'option', 'with', 'maturity', 't', 'written', 'on', 'the', 'numeraire', 'portfolio', 'can', 'be', 'replicated', 'by', 'trading', 'emphonly', 'in', 'n', 'then', 'the', 'mft', 'holds', 'true', 'for', 'general', 'utility', 'functions', 'and', 'the', 'numeraire', 'portfolio', 'may', 'serve', 'as', 'mutual', 'fund', 'this', 'generalizes', 'mertons', 'classical', 'result', 'on', 'blackscholes', 'markets', 'conversely', 'under', 'a', 'supplementary', 'weak', 'completeness', 'assumption', 'we', 'show', 'that', 'the', 'validity', 'of', 'the', 'mft', 'for', 'general', 'utility', 'functions', 'implies', 'the', 'same', 'replicability', 'property', 'for', 'options', 'on', 'the', 'numeraire', 'portfolio', 'described', 'above', '2', 'if', 'for', 'a', 'given', 'class', 'of', 'utility', 'functions', 'ie', 'investors', 'the', 'mft', 'holds', 'true', 'in', 'all', 'complete', 'brownian', 'financial', 'markets', 's', 'then', 'all', 'investors', 'use', 'the', 'same', 'utility', 'function', 'u', 'which', 'must', 'be', 'of', 'hara', 'type', 'this', 'is', 'a', 'result', 'in', 'the', 'spirit', 'of', 'the', 'classical', 'work', 'by', 'cass', 'and', 'stiglitz']] | [-0.08734195129186924, 0.031776503659784794, -0.09472783373987806, 0.1610954050589418, -0.09059617058399715, -0.1625138819603589, 0.11602717392578803, 0.3566805870112711, -0.3111210984296232, -0.19824120582940663, 0.1293353587932478, -0.26386784400484775, -0.1051713906393196, 0.1718544211516476, -0.1529578682439124, 0.013458498565799129, 0.019176074010397188, 0.02980902109768509, 0.06188877593360594, -0.353825228484296, 0.2898392801845796, 0.02483955017761816, 0.2693544943644588, 0.05829092224857909, 0.13346022101201488, 0.09065801630089913, 0.024048965900894562, 0.05516683691417932, -0.14602334861869046, 0.09236649222072543, 0.32519808037011005, 0.1586648361191079, 0.3992243634886751, -0.38364856537863695, -0.1453524573567164, 0.16573701311249828, 0.001918826041259489, -0.0024021665638991893, 0.03795858719244661, -0.22959577588451954, 0.05759357293882505, -0.2133833852478236, -0.16917168519727227, -0.05813705539125023, 0.04778478059979434, 0.060840324416386156, -0.36473371984838454, 0.05294477840813484, 0.0795039220781256, 0.028774808766191713, -0.05787530389179615, -0.12686411791818103, -0.05984138952599046, 0.09325753552684797, 0.11786583911493106, -0.0036345831586758076, 0.12917582992752447, -0.09866651268778832, -0.1759611459234112, 0.36220792865699664, -0.10693934504251454, -0.19425259938062225, 0.07793108745380331, -0.18049202202587744, -0.11844532647509724, 0.07191578492661166, 0.11984298190935541, 0.0756443009135514, -0.20106363252258103, 0.16378249457490776, -0.11167408320383884, 0.14222391716009058, 0.08881592579849723, 0.020507693254370858, 0.15010345862144142, 0.13586595768072945, 0.16383681515262602, 0.10997889592062723, 0.036849760963679264, -0.15892162493003006, -0.35367659933720996, -0.16605710680757324, -0.20868344291226518, 0.12259907604617103, -0.18343040790876441, -0.1326137070958271, 0.3153220690601603, 0.12699260565745568, 0.06972579205298066, 0.1892110051501038, 0.21145512119388382, 0.1805334232164835, -0.02378648429985534, 0.11573371287301512, 0.16343130593224126, 0.0023411156938318678, 0.1298410950398371, -0.14350778095100014, 0.20021466137738436, 0.05308658547328981] |
710.191 | Rationalization of EPR Coincidence Experiments | Coincidence experiments on EPR pairs show strong violations of Bell's
Inequalities at certain filter settings which is widely believed to mean that
local hidden variable models cannot explain these results. In this paper it is
shown that the 'non-separable' singlet density matrix can be represented as a
sum of separable density matrices which are products of individual
non-hermitian spin operator states. This decomposition is consistent with the
intuitive notion that after separation from the singlet the two physical
systems should be described by a product state. In spite of the
non-hermiticity, the values of the relevant spin observables are real. A new
local hidden variable model inspired by this decomposition is discussed.
| physics.gen-ph | coincidence experiments on epr pairs show strong violations of bells inequalities at certain filter settings which is widely believed to mean that local hidden variable models cannot explain these results in this paper it is shown that the nonseparable singlet density matrix can be represented as a sum of separable density matrices which are products of individual nonhermitian spin operator states this decomposition is consistent with the intuitive notion that after separation from the singlet the two physical systems should be described by a product state in spite of the nonhermiticity the values of the relevant spin observables are real a new local hidden variable model inspired by this decomposition is discussed | [['coincidence', 'experiments', 'on', 'epr', 'pairs', 'show', 'strong', 'violations', 'of', 'bells', 'inequalities', 'at', 'certain', 'filter', 'settings', 'which', 'is', 'widely', 'believed', 'to', 'mean', 'that', 'local', 'hidden', 'variable', 'models', 'can', 'not', 'explain', 'these', 'results', 'in', 'this', 'paper', 'it', 'is', 'shown', 'that', 'the', 'nonseparable', 'singlet', 'density', 'matrix', 'can', 'be', 'represented', 'as', 'a', 'sum', 'of', 'separable', 'density', 'matrices', 'which', 'are', 'products', 'of', 'individual', 'nonhermitian', 'spin', 'operator', 'states', 'this', 'decomposition', 'is', 'consistent', 'with', 'the', 'intuitive', 'notion', 'that', 'after', 'separation', 'from', 'the', 'singlet', 'the', 'two', 'physical', 'systems', 'should', 'be', 'described', 'by', 'a', 'product', 'state', 'in', 'spite', 'of', 'the', 'nonhermiticity', 'the', 'values', 'of', 'the', 'relevant', 'spin', 'observables', 'are', 'real', 'a', 'new', 'local', 'hidden', 'variable', 'model', 'inspired', 'by', 'this', 'decomposition', 'is', 'discussed']] | [-0.10134606961618317, 0.1843928334270233, -0.08807946606003474, 0.10227572059658546, -0.03736680083438358, -0.14789592075384164, -0.014789805021260627, 0.3563732216711593, -0.29092012377933857, -0.27055272056548074, 0.09107513382899023, -0.24426985023217687, -0.15126714812575187, 0.14391268361607087, -0.04366592283616156, 0.03901541877892878, 0.04860537536277444, 0.05393213020489279, -0.102815592243229, -0.2278996999025246, 0.3340221467320766, 0.004800541186293142, 0.27837610911099914, 0.042537150577955214, 0.08165394762877078, 0.031375899432902844, 0.0014530225673410218, 0.0255481129742961, -0.03171716232270783, 0.10946068695933862, 0.2533560674075118, 0.13181688017994825, 0.2492041141866187, -0.3782926842496129, -0.22022492474818653, 0.14988089228395077, 0.12141203983332467, 0.09187249145552978, 0.000412260296556736, -0.32669931336973623, 0.04573987672245542, -0.17201705188778912, -0.11867504834766145, -0.1333073274360195, -0.012245624478642655, -0.012058082601236822, -0.30517597000868746, 0.11776648442244438, 0.052538525618085294, -0.003951807793814986, -0.038662520029161755, -0.13013550893205786, -0.021614203668422007, 0.035572328856132464, 0.030167719043288545, -0.0010326588567577104, 0.12688611864021657, -0.09000821553574528, -0.15460287530255395, 0.3335765330450593, -0.03455420485409224, -0.2258657352397202, 0.17843346994172418, -0.13648696069449054, -0.1365259863164243, 0.08764149621541126, 0.10009012602071847, 0.10786470593637333, -0.17504743791589167, 0.07268922274065075, -0.12640259756533578, 0.17457134176078623, 0.02840102085456318, 0.08236070272751746, 0.2238593784127945, 0.09153795010715196, 0.06573452466719709, 0.11531117588767897, -0.007365225911123958, -0.13865259207220568, -0.3448130724935141, -0.13876129925020236, -0.25022967108648964, 0.06968154081370603, -0.08841659514793912, -0.1253635030972825, 0.4016418270807944, 0.11361915913237407, 0.21734383455436446, -0.00989991993503233, 0.24664730068906088, 0.15117361697685633, 0.09919620895412117, 0.022135625232785807, 0.2500936202972765, 0.18312677391186621, 0.045837728937148256, -0.1942089528352253, 0.11380377797970334, 0.05038528743331873] |
710.1911 | Triangulated categories of Gorenstein cyclic quotient singularities | We prove an equivalence of triangulated categories between Orlov's
triangulated category of singularities for a Gorenstein cyclic quotient
singularity and the derived category of representations of a quiver with
relations which is obtained from the McKay quiver by removing one vertex and
half of the arrows.
| math.AG | we prove an equivalence of triangulated categories between orlovs triangulated category of singularities for a gorenstein cyclic quotient singularity and the derived category of representations of a quiver with relations which is obtained from the mckay quiver by removing one vertex and half of the arrows | [['we', 'prove', 'an', 'equivalence', 'of', 'triangulated', 'categories', 'between', 'orlovs', 'triangulated', 'category', 'of', 'singularities', 'for', 'a', 'gorenstein', 'cyclic', 'quotient', 'singularity', 'and', 'the', 'derived', 'category', 'of', 'representations', 'of', 'a', 'quiver', 'with', 'relations', 'which', 'is', 'obtained', 'from', 'the', 'mckay', 'quiver', 'by', 'removing', 'one', 'vertex', 'and', 'half', 'of', 'the', 'arrows']] | [-0.14718983482326503, -0.02775692355372366, -0.1137083966244498, 0.10412816137692932, -0.08136633289572985, -0.21909206585310723, -0.03654585147033567, 0.3198425607026919, -0.4533781604740121, -0.20216544130412134, 0.06155177427496275, -0.22496878849747387, -0.11736893637672714, 0.09929971477907637, -0.2578991813504178, -0.13153221987633276, 0.15288610428915886, 0.11249640669025805, -0.09042028790218351, -0.29275489436543506, 0.5436563946954582, -0.05572169213353292, 0.24477693908240483, 0.03885608761692825, 0.17898379276385126, 0.058249276890621884, -0.013424939293738293, 0.044951883752060974, -0.16799382951981184, 0.16069681745063027, 0.33343650291309407, 0.08176867004342216, 0.09650367138016483, -0.36949563994193857, -0.06428179189400829, 0.17834208482552483, 0.12709554861826095, 0.072788031303587, -0.00841330269695786, -0.3448123864262648, 0.11046494283389462, -0.23403442243073622, -0.12328376018685168, 0.05793575429276604, 0.12862325739115477, -0.009382389455466815, -0.22641213537882204, -0.03911124405187919, 0.0824953560595927, 0.18980709279118024, -0.11642860524032426, -0.04813993930735666, -0.18570646653761683, 0.12970177159118262, -0.06972582345200784, 0.0007878957700956126, 0.04878986349491322, -0.20028147638937377, -0.17905196395662168, 0.3369904604295026, -0.003255741367035586, -0.1727179296962593, 0.11112833518595637, -0.10977909470017513, -0.12435098004061729, 0.13341957275026842, -0.09843752407671316, 0.16371840147463523, -0.008265163061087545, 0.18794848915422335, -0.13566588812872118, -0.019543362915536145, 0.19260713099704488, -7.755588740110397e-07, 0.19672085297212977, 0.11167013078280118, -0.02079607819652428, 0.18439625302815568, 0.002943025405883141, -0.012211327389788652, -0.3968342518352944, -0.1641138592613456, -0.07618798883935518, 0.15060868976718705, -0.2007251458398178, -0.1662045618843125, 0.39410022476121137, 0.07594271897054884, 0.2090501622765062, 0.21689248597502467, 0.18913656230206075, 0.003989353831654981, 0.10272529139183462, 0.014567590450220134, 0.1470987475932697, 0.2922463555384994, -0.10661523643395175, -0.07472455034376649, -0.059447702152006655, 0.357683626367994] |
710.1912 | Logarithmic vector fields along smooth plane cubic curves | We study the sheaves of logarithmic vector fields along smooth cubic curves
in the projective plane, and prove a Torelli-type theorem in the sense of
Dolgachev-Kapranov for those with non-vanishing j-invariants.
| math.AG | we study the sheaves of logarithmic vector fields along smooth cubic curves in the projective plane and prove a torellitype theorem in the sense of dolgachevkapranov for those with nonvanishing jinvariants | [['we', 'study', 'the', 'sheaves', 'of', 'logarithmic', 'vector', 'fields', 'along', 'smooth', 'cubic', 'curves', 'in', 'the', 'projective', 'plane', 'and', 'prove', 'a', 'torellitype', 'theorem', 'in', 'the', 'sense', 'of', 'dolgachevkapranov', 'for', 'those', 'with', 'nonvanishing', 'jinvariants']] | [-0.2640512591047633, 0.05403575715759108, -0.09328333192294644, 0.07186154474414164, -0.06524268057077162, -0.1157854834361182, -0.01703537609559604, 0.33312016929830274, -0.30421096507099366, -0.15509473307118302, 0.06317029245227816, -0.25617010209469065, -0.1466072035893317, 0.2692229014731223, -0.14290872624804896, 0.014252560573720163, 0.010628750179744056, 0.06475042269354866, -0.1116633903866093, -0.3289585567169612, 0.4224532853751894, -0.13428188265571672, 0.25606453190407447, 0.052818747117154057, 0.12418872319282062, 0.0964276818483467, -0.013543331514923804, -0.020556289402227246, -0.17440563617574592, 0.14422282354245264, 0.2823256448121561, -0.0011842717677580132, 0.1435542459930143, -0.36499263829882106, -0.17336813781049945, 0.24347141778637324, 0.06641523588088251, 0.060268633112671874, -0.003510008656209515, -0.22504601864925317, 0.12341715524634046, -0.0462156762819617, -0.27228645088091014, -0.0661679542653503, 0.011399182956665754, 0.10146479265794399, -0.1887444535029992, 0.04515395514787205, 0.11524141464577688, 0.18481481425283897, -0.10305451069988551, -0.05390380911769405, -0.11818553747669343, -0.02084534086527363, 0.031237197439036062, 0.11459901412918923, 0.026571372418754523, -0.1512486080849363, -0.11917054650538991, 0.3422448870635802, -0.14890650088988966, -0.21029340704121896, 0.053837209549402035, -0.20600833130940313, -0.0994837204475076, 0.13065089790090437, 0.15000929575293295, 0.1891199092440788, 0.003290959258353518, 0.1924874421731088, -0.10352989132966726, 0.041018044673687505, 0.13549524948241248, -0.002158765425725329, 0.12404100416648772, -0.021835832856595516, 0.0753416306819887, 0.128927837294947, -0.03646488357034902, -0.09160898439586163, -0.3963864488947776, -0.22445486990674848, -0.07390105232010566, 0.11790671959639556, -0.15594248643338365, -0.19692223843547604, 0.3858698308467865, -0.0010962674484377908, 0.2521042749586125, 0.1432134508185329, 0.22811258656363334, 0.03834907118711741, 0.02866005015769793, 0.07543872525134394, 0.22504395048224157, 0.23829165071008668, 0.006215286411104664, -0.07644041249858996, -0.04090734541175827, 0.17956394551982802] |
710.1913 | JVN observations of H2O masers around the evolved star IRAS 22480+6002 | We report on the H2O maser distributions around IRAS 22480+6002 (=IRC+60370)
observed with the Japanese VLBI Network (JVN) at three epochs spanning 2
months. This object was identified as a K-type supergiant in 1970s, which was
unusual as a stellar maser source. The spectrum of H2O masers consists of 5
peaks separated roughly equally by a few km/s each. The H2O masers were
spatially resolved into more than 15 features, which spread about 50 mas along
the east--west direction. However, no correlation was found between the proper
motion vectors and their spatial distributions; the velocity field of the
envelope seems random. A statistical parallax method applied to the observed
proper-motion data set gives a distance of 1.0+-0.4 kpc for this object, that
is considerably smaller than previously thought. The distance indicates that
this is an evolved star with L~5800 Lsun. This star shows radio, infrared, and
optical characteristics quite similar to those of the population II post-AGB
stars such as RV Tau variables.
| astro-ph | we report on the h2o maser distributions around iras 224806002 irc60370 observed with the japanese vlbi network jvn at three epochs spanning 2 months this object was identified as a ktype supergiant in 1970s which was unusual as a stellar maser source the spectrum of h2o masers consists of 5 peaks separated roughly equally by a few kms each the h2o masers were spatially resolved into more than 15 features which spread about 50 mas along the eastwest direction however no correlation was found between the proper motion vectors and their spatial distributions the velocity field of the envelope seems random a statistical parallax method applied to the observed propermotion data set gives a distance of 1004 kpc for this object that is considerably smaller than previously thought the distance indicates that this is an evolved star with l5800 lsun this star shows radio infrared and optical characteristics quite similar to those of the population ii postagb stars such as rv tau variables | [['we', 'report', 'on', 'the', 'h2o', 'maser', 'distributions', 'around', 'iras', '224806002', 'irc60370', 'observed', 'with', 'the', 'japanese', 'vlbi', 'network', 'jvn', 'at', 'three', 'epochs', 'spanning', '2', 'months', 'this', 'object', 'was', 'identified', 'as', 'a', 'ktype', 'supergiant', 'in', '1970s', 'which', 'was', 'unusual', 'as', 'a', 'stellar', 'maser', 'source', 'the', 'spectrum', 'of', 'h2o', 'masers', 'consists', 'of', '5', 'peaks', 'separated', 'roughly', 'equally', 'by', 'a', 'few', 'kms', 'each', 'the', 'h2o', 'masers', 'were', 'spatially', 'resolved', 'into', 'more', 'than', '15', 'features', 'which', 'spread', 'about', '50', 'mas', 'along', 'the', 'eastwest', 'direction', 'however', 'no', 'correlation', 'was', 'found', 'between', 'the', 'proper', 'motion', 'vectors', 'and', 'their', 'spatial', 'distributions', 'the', 'velocity', 'field', 'of', 'the', 'envelope', 'seems', 'random', 'a', 'statistical', 'parallax', 'method', 'applied', 'to', 'the', 'observed', 'propermotion', 'data', 'set', 'gives', 'a', 'distance', 'of', '1004', 'kpc', 'for', 'this', 'object', 'that', 'is', 'considerably', 'smaller', 'than', 'previously', 'thought', 'the', 'distance', 'indicates', 'that', 'this', 'is', 'an', 'evolved', 'star', 'with', 'l5800', 'lsun', 'this', 'star', 'shows', 'radio', 'infrared', 'and', 'optical', 'characteristics', 'quite', 'similar', 'to', 'those', 'of', 'the', 'population', 'ii', 'postagb', 'stars', 'such', 'as', 'rv', 'tau', 'variables']] | [-0.07937538648032878, 0.09581277210358313, -0.08082136006516792, 0.051954751265935184, -0.09973710987309098, -0.0919283391160873, 0.025075599319816375, 0.46278725146830824, -0.17650226623930546, -0.3331812405843079, 0.048028116826667966, -0.27694748313114137, -0.02046091061863493, 0.17785106998794534, -0.04790976243411763, -0.050926110699631114, 0.10255552373514858, -0.044109996026439696, -0.041275295553300874, -0.2146371317751162, 0.25130832804690884, 0.06383324571399261, 0.16614523866200842, -0.07437277944492442, 0.0988486672047329, -0.1480373491197593, -0.1022518965855287, -0.029169546255859206, -0.08140844520897625, 0.07737235939245879, 0.2546160723146352, 0.1169996571008359, 0.2320108834693139, -0.28393667782454385, -0.23670538454999865, 0.03163393532209422, 0.1747099166643453, 0.03909954670324968, 0.04130773694912096, -0.31185483450926144, 0.06086927024150117, -0.1669866285685982, -0.1753204842821134, 0.1015356292496927, 0.12874894394750436, 0.016526790011113058, -0.20157439615403921, 0.13132999582369437, 0.011078442081733844, 0.15414724502457966, -0.11748626372076987, -0.18337937933826667, -0.07609424325463982, 0.07777917487778185, 0.013248002732184178, 0.15072426586035895, 0.1401715252970733, -0.08084923501259514, -0.07094589207771158, 0.3977947718122546, -0.08475510645328778, -0.019731123665613786, 0.23953678949464183, -0.2143836877632724, -0.18790249805029782, 0.19317066912128597, 0.09569052475510362, 0.15433366999380083, -0.19661312126583472, -0.10309519191628311, -0.045012841147214454, 0.2536432733571284, 0.11454857841585271, 0.06744257443922902, 0.3092063848472993, 0.10126866261266543, 0.08173504273366669, 0.12260638255776363, -0.2955765710631675, -0.04833919323564316, -0.21578107135058006, -0.0719063260147105, -0.13676615911015302, 0.09523750705823811, -0.14542226121100735, -0.09370109189000929, 0.36598686502829936, 0.07617662332500823, 0.20664908234839854, 0.026673741839675708, 0.2623319473482382, 0.04354199804794058, 0.12747939891378562, 0.15779004656703946, 0.29402469788672203, 0.16228757509007263, 0.14736125527690194, -0.19760175611858505, 0.13150035427675022, -0.012089155027237923] |
710.1914 | Euler Incognito | The nonlinear flow equations discussed recently by Bender and Feinberg are
all reduced to the well-known Euler equation after change of variables.
| hep-th math-ph math.MP physics.flu-dyn | the nonlinear flow equations discussed recently by bender and feinberg are all reduced to the wellknown euler equation after change of variables | [['the', 'nonlinear', 'flow', 'equations', 'discussed', 'recently', 'by', 'bender', 'and', 'feinberg', 'are', 'all', 'reduced', 'to', 'the', 'wellknown', 'euler', 'equation', 'after', 'change', 'of', 'variables']] | [-0.12024857590652326, 0.11487582529133017, -0.07535747311670672, 0.017110459771091966, -0.1063092370221222, -0.15670209657400846, -0.07157789712602441, 0.21994553963569077, -0.3009828213940967, -0.2844947993078015, 0.10259986304762689, -0.27447081021752884, -0.19721811601299455, 0.20782167769291185, -0.09313607888973573, 0.16773606138303876, 0.03272288631309162, -0.06704853610558943, -0.11332907625050707, -0.32852383264848456, 0.3242336214435371, 0.002515106885270639, 0.23044618710198186, -0.0352577603506771, 0.20290204510092735, 0.0380590524609116, -0.07833285012880382, 0.08563748484646733, -0.1512203498066149, -0.01072963047772646, 0.2177728339394724, 0.048044437034563583, 0.22293081261556258, -0.43910168077458034, -0.3024552582593804, 0.017229433298449625, 0.07921094817786732, 0.10108813372525302, 0.019298017829317938, -0.3244259770620953, 0.07879651134664362, -0.13903238166081297, -0.19699293046935715, -0.07474462493238124, 0.13405387128957294, 0.1407000706107779, -0.19788382622011175, 0.14598220197314565, 0.08064041746018286, 0.017523218708282166, -0.05951629754748534, -0.14667474089021032, -0.10261349435049025, 0.009219191629778255, 0.06683438007762148, -0.016168265222487124, 0.02318501751869917, -0.11722576825625518, -0.0633829409383576, 0.36721619201654737, -0.038331489502028984, -0.2572530706159093, 0.09408015249805017, -0.05813357007520443, -0.08590231558562002, 0.16359014191072097, 0.10179197466508909, 0.10512415772642601, -0.18901984668760138, 0.07869541119858199, -0.0507917867931114, 0.04227764303372665, 0.13629459964365445, -0.10481555002148855, 0.02003141458738934, 0.0573141278529709, -0.009486551057885994, 0.09859104051297023, 0.05429316633804278, -0.17882423226679253, -0.2544976675364358, -0.16602998040616512, -0.11782977180237966, 0.068298921412365, -0.05668592239155921, -0.0772983544421467, 0.39263017543337564, 0.08142062687230381, 0.12958714517299086, -0.025632489387961952, 0.23882192864336751, 0.2839188617230816, -0.00487372414632277, 0.11322074431121688, 0.27105327213013714, 0.25529707994693046, 0.17690864247693258, -0.2610913624733009, 0.037876317129385745, 0.19326883820097215] |
710.1915 | Nonperturbative quark-gluon dynamics | We summarize recent results on the nonperturbative quark-gluon interaction in
Landau gauge QCD. Our analytical analysis of the infrared behaviour of the
quark-gluon vertex reveals infrared singularities, which lead to an infrared
divergent running coupling and a linear rising quark-antiquark potential when
chiral symmetry is broken. In the chirally symmetric case we find an infrared
fixed point of the coupling and, correspondingly, a Coulomb potential. These
findings provide a new link betwen dynamical chiral symmetry breaking and
confinement.
| hep-ph | we summarize recent results on the nonperturbative quarkgluon interaction in landau gauge qcd our analytical analysis of the infrared behaviour of the quarkgluon vertex reveals infrared singularities which lead to an infrared divergent running coupling and a linear rising quarkantiquark potential when chiral symmetry is broken in the chirally symmetric case we find an infrared fixed point of the coupling and correspondingly a coulomb potential these findings provide a new link betwen dynamical chiral symmetry breaking and confinement | [['we', 'summarize', 'recent', 'results', 'on', 'the', 'nonperturbative', 'quarkgluon', 'interaction', 'in', 'landau', 'gauge', 'qcd', 'our', 'analytical', 'analysis', 'of', 'the', 'infrared', 'behaviour', 'of', 'the', 'quarkgluon', 'vertex', 'reveals', 'infrared', 'singularities', 'which', 'lead', 'to', 'an', 'infrared', 'divergent', 'running', 'coupling', 'and', 'a', 'linear', 'rising', 'quarkantiquark', 'potential', 'when', 'chiral', 'symmetry', 'is', 'broken', 'in', 'the', 'chirally', 'symmetric', 'case', 'we', 'find', 'an', 'infrared', 'fixed', 'point', 'of', 'the', 'coupling', 'and', 'correspondingly', 'a', 'coulomb', 'potential', 'these', 'findings', 'provide', 'a', 'new', 'link', 'betwen', 'dynamical', 'chiral', 'symmetry', 'breaking', 'and', 'confinement']] | [-0.17037145170168236, 0.2121009720128943, -0.16741957439658925, 0.05867435220324506, -0.0991298467046223, -0.11263982188822223, 0.02955577979222513, 0.3811102478693311, -0.16470500530722815, -0.1825978188082958, 0.018008907083780147, -0.3054929413379003, -0.16670929396954867, 0.037575910948455714, 0.040663679190075554, 0.046046054981744446, -0.032827564443533234, -0.003475813448461943, -0.07171264246892697, -0.21533980363836655, 0.3355790405558088, -0.012828301154793454, 0.2673478502159317, 0.22478780539658588, 0.012175504098801563, 0.019354792581930853, -0.028487220406532288, -0.033012026347793065, -0.11742711297642344, 0.02004605553035314, 0.1989570286801049, -0.05290003239105527, 0.15547706477511197, -0.40897493859609735, -0.19550895332716978, 0.02412419407389676, 0.16221406100652155, 0.15595378380907604, -0.11504205742415088, -0.28967810421883583, 0.01589504687879712, -0.19293952132694614, -0.23190182275049245, -0.1085006629761595, -0.04452459698017591, -0.07399673247038244, -0.31711792064687383, 0.05614420526231138, -0.017633869511579785, 0.08056679001758592, -0.021715518003568437, -0.09356017611347713, -0.07888463929068679, 0.0834995445975204, 0.12284781410394666, 0.09964984173599917, 0.12429353571198402, -0.25786505705074003, -0.14118370822614404, 0.4012448479875158, -0.05149126730602569, -0.10367504725805841, 0.20123259047380623, -0.11155816424303712, -0.1620061193079425, 0.15499353010016373, 0.12129822062053837, 0.08803147842916541, -0.13780337565922543, 0.15265495040325616, -0.018882830519802295, 0.12945352303414928, 0.07667753963659589, 0.09067928350458924, 0.2877884487120005, 0.1325274947165058, 0.03465718312117343, 0.12544519164396498, -0.013517851126380265, -0.1513018638898547, -0.41021757071407944, -0.03796323424635025, -0.14572908439172003, 0.09446683809167156, -0.16145064744397622, -0.1889059416925869, 0.40219015794550966, 0.12320595084188077, 0.1908335127025986, 0.013214261499412645, 0.2532226538870675, 0.14629304616335922, 0.07094124968772611, 0.04620811577814703, 0.30787057465372175, 0.12086770358310343, 0.10138635166610281, -0.3725039744331764, -0.14234513111669236, 0.12239893607628079] |
710.1916 | Evaluate the Word Error Rate of Binary Block Codes with Square Radius
Probability Density Function | The word error rate (WER) of soft-decision-decoded binary block codes rarely
has closed-form. Bounding techniques are widely used to evaluate the
performance of maximum-likelihood decoding algorithm. But the existing bounds
are not tight enough especially for low signal-to-noise ratios and become
looser when a suboptimum decoding algorithm is used. This paper proposes a new
concept named square radius probability density function (SR-PDF) of decision
region to evaluate the WER. Based on the SR-PDF, The WER of binary block codes
can be calculated precisely for ML and suboptimum decoders. Furthermore, for a
long binary block code, SR-PDF can be approximated by Gamma distribution with
only two parameters that can be measured easily. Using this property, two
closed-form approximative expressions are proposed which are very close to the
simulation results of the WER of interesting.
| cs.IT math.IT | the word error rate wer of softdecisiondecoded binary block codes rarely has closedform bounding techniques are widely used to evaluate the performance of maximumlikelihood decoding algorithm but the existing bounds are not tight enough especially for low signaltonoise ratios and become looser when a suboptimum decoding algorithm is used this paper proposes a new concept named square radius probability density function srpdf of decision region to evaluate the wer based on the srpdf the wer of binary block codes can be calculated precisely for ml and suboptimum decoders furthermore for a long binary block code srpdf can be approximated by gamma distribution with only two parameters that can be measured easily using this property two closedform approximative expressions are proposed which are very close to the simulation results of the wer of interesting | [['the', 'word', 'error', 'rate', 'wer', 'of', 'softdecisiondecoded', 'binary', 'block', 'codes', 'rarely', 'has', 'closedform', 'bounding', 'techniques', 'are', 'widely', 'used', 'to', 'evaluate', 'the', 'performance', 'of', 'maximumlikelihood', 'decoding', 'algorithm', 'but', 'the', 'existing', 'bounds', 'are', 'not', 'tight', 'enough', 'especially', 'for', 'low', 'signaltonoise', 'ratios', 'and', 'become', 'looser', 'when', 'a', 'suboptimum', 'decoding', 'algorithm', 'is', 'used', 'this', 'paper', 'proposes', 'a', 'new', 'concept', 'named', 'square', 'radius', 'probability', 'density', 'function', 'srpdf', 'of', 'decision', 'region', 'to', 'evaluate', 'the', 'wer', 'based', 'on', 'the', 'srpdf', 'the', 'wer', 'of', 'binary', 'block', 'codes', 'can', 'be', 'calculated', 'precisely', 'for', 'ml', 'and', 'suboptimum', 'decoders', 'furthermore', 'for', 'a', 'long', 'binary', 'block', 'code', 'srpdf', 'can', 'be', 'approximated', 'by', 'gamma', 'distribution', 'with', 'only', 'two', 'parameters', 'that', 'can', 'be', 'measured', 'easily', 'using', 'this', 'property', 'two', 'closedform', 'approximative', 'expressions', 'are', 'proposed', 'which', 'are', 'very', 'close', 'to', 'the', 'simulation', 'results', 'of', 'the', 'wer', 'of', 'interesting']] | [-0.11290242058528362, 0.022257046855167682, -0.07001174792336921, 0.12226507625327389, -0.07521178716066942, -0.24368366063219693, 0.07364700990817227, 0.41582527520332596, -0.24823860740500756, -0.29290950300425966, 0.1318256064939002, -0.20046699504988888, -0.15487109394179602, 0.24987758393575804, -0.10223189650555882, 0.11945602512622083, 0.10727223445781309, 0.08005472008054229, -0.145089889292704, -0.32552611681625643, 0.21229788382223694, 0.17043533735682792, 0.3030173711789151, 0.010290202386165744, 0.0782756493726717, -0.034209996035012104, 0.004337865252499328, 0.001823173285546628, -0.14634141204447643, 0.10864052594865137, 0.3085249649399581, 0.18914893826568555, 0.22971111867280508, -0.328598538237257, -0.1767667784835353, 0.10259228036738932, 0.19315178718446105, 0.12761230641626753, -0.021190369749533464, -0.24904578074611808, 0.15915840025109268, -0.22226576399848316, 0.009985068915050237, -0.04053196979238595, -0.02236903014691603, 0.05924003032939226, -0.3352307136572728, 0.0489078589360526, 0.042964539525917535, 0.006240579313739683, -0.005307151260432985, -0.2013718911418409, 0.062996465024877, 0.12290427224136445, 0.03684191269426127, 0.05654468596207373, 0.08706910216432968, -0.0448383951980125, -0.09953203404791455, 0.33820246584769903, -0.07652630887318854, -0.258327328578823, 0.1548787564176812, -0.05682882329688944, -0.10073111100108222, 0.18978084836536172, 0.2487137786740663, 0.11047959773956488, -0.18916203954248692, 0.036718462150461026, -0.03297744072606844, 0.2164799158768305, 0.09722183228498607, 0.05876948784641696, 0.18345083795297382, 0.139398325711778, 0.0071961261247369375, 0.15224122973405896, -0.14676140398704307, -0.08289122236116479, -0.20248420165047387, -0.10932182107177196, -0.20824163585943592, -0.025190781644844472, -0.14127917643826082, -0.15381485033889697, 0.3218894393260901, 0.11569159934261927, 0.16496545716301736, 0.1733684352427989, 0.3180788243048345, 0.1392212414754216, 0.07899936433232417, 0.1596846850236144, 0.22563511965475327, 0.10596573805069608, -0.01787143403833563, -0.17502362477490818, 0.15045141761198244, 0.11137835103418735] |
710.1917 | The heating of the cooling flow (The feedback effervescent heating
model) | The standard cooling flow model has predicted a large amount of cool gas in
the clusters of galaxies. The failure of the Chandra and XXM-Newton telescopes
to detect cooling gas (below 1-2 keV) in clusters of galaxies has suggested
that some heating process must work to suppress the cooling. The most likely
heating source is the heating by AGNs. There are many heating mechanisms, but
we will adopt the effervescent heating model which is a result of the
interaction of the bubbles inflated by AGN with the intra-cluster medium(ICM).
Using the FLASH code, we have carried out time dependent simulations to
investigate the effect of the heating on the suppression of the cooling in
cooling flow clusters. We have found that the effervescent heating model can
not balance the radiative cooling and it is an artificial model. Furthermore,
the effervescent heating is a function of the ICM pressure gradient but the
cooling is proportional to the gas density square and square root of the gas
temperature.
| astro-ph | the standard cooling flow model has predicted a large amount of cool gas in the clusters of galaxies the failure of the chandra and xxmnewton telescopes to detect cooling gas below 12 kev in clusters of galaxies has suggested that some heating process must work to suppress the cooling the most likely heating source is the heating by agns there are many heating mechanisms but we will adopt the effervescent heating model which is a result of the interaction of the bubbles inflated by agn with the intracluster mediumicm using the flash code we have carried out time dependent simulations to investigate the effect of the heating on the suppression of the cooling in cooling flow clusters we have found that the effervescent heating model can not balance the radiative cooling and it is an artificial model furthermore the effervescent heating is a function of the icm pressure gradient but the cooling is proportional to the gas density square and square root of the gas temperature | [['the', 'standard', 'cooling', 'flow', 'model', 'has', 'predicted', 'a', 'large', 'amount', 'of', 'cool', 'gas', 'in', 'the', 'clusters', 'of', 'galaxies', 'the', 'failure', 'of', 'the', 'chandra', 'and', 'xxmnewton', 'telescopes', 'to', 'detect', 'cooling', 'gas', 'below', '12', 'kev', 'in', 'clusters', 'of', 'galaxies', 'has', 'suggested', 'that', 'some', 'heating', 'process', 'must', 'work', 'to', 'suppress', 'the', 'cooling', 'the', 'most', 'likely', 'heating', 'source', 'is', 'the', 'heating', 'by', 'agns', 'there', 'are', 'many', 'heating', 'mechanisms', 'but', 'we', 'will', 'adopt', 'the', 'effervescent', 'heating', 'model', 'which', 'is', 'a', 'result', 'of', 'the', 'interaction', 'of', 'the', 'bubbles', 'inflated', 'by', 'agn', 'with', 'the', 'intracluster', 'mediumicm', 'using', 'the', 'flash', 'code', 'we', 'have', 'carried', 'out', 'time', 'dependent', 'simulations', 'to', 'investigate', 'the', 'effect', 'of', 'the', 'heating', 'on', 'the', 'suppression', 'of', 'the', 'cooling', 'in', 'cooling', 'flow', 'clusters', 'we', 'have', 'found', 'that', 'the', 'effervescent', 'heating', 'model', 'can', 'not', 'balance', 'the', 'radiative', 'cooling', 'and', 'it', 'is', 'an', 'artificial', 'model', 'furthermore', 'the', 'effervescent', 'heating', 'is', 'a', 'function', 'of', 'the', 'icm', 'pressure', 'gradient', 'but', 'the', 'cooling', 'is', 'proportional', 'to', 'the', 'gas', 'density', 'square', 'and', 'square', 'root', 'of', 'the', 'gas', 'temperature']] | [-0.07552888690031867, 0.18621772253175026, -0.06621803690002045, 0.07243499178127394, -0.046755980470245984, -0.05469609447896029, 0.050800079446652845, 0.3911483191123063, -0.24272204510599488, -0.32146262614564464, 0.09034641063278259, -0.3056928737032594, -0.008071795766326514, 0.1941360245374116, 0.009204808633887406, -0.03067572590626889, -0.0013058718463236636, -0.05536490802399137, -0.02105949582588492, -0.2985741949499105, 0.2850403044147022, 0.172704506067164, 0.21214588245546276, 0.07020668113660632, 0.07041305825678688, -0.1379268223532673, -0.03157719081183049, -0.011729664344227675, -0.13770085951413916, -0.018746396384526496, 0.1583144766521979, 0.08218977342211557, 0.28376668323621607, -0.4262619500133124, -0.29891880082926064, 0.10517994761749198, 0.17542266198575046, 0.07440105903766711, -0.07997436817994723, -0.16433307575344136, 0.001391234974179304, -0.20346188139960622, -0.12113146153701977, 0.01310334008638606, -0.011046063236779336, 0.026260652487998772, -0.25242489237959187, 0.12420257913569609, 0.0799637228419835, 0.028825099568701152, -0.10795100516159878, -0.04586622999190833, -0.0360261886070172, 0.06655766347627805, 0.03452369521467269, 0.05426787496403311, 0.2556770183117778, -0.1394413973063682, -0.013424570564970826, 0.4090954071644581, -0.04257043938462933, -0.05239012009943977, 0.22942198522699375, -0.17911067349892673, -0.10284801680086689, 0.18179825319711007, 0.15297832680499238, 0.05984724558551203, -0.15005271347296056, -0.01560035708790758, -0.04237065978390588, 0.18339222673834724, -0.0011334659955040975, -0.019096487191872614, 0.25490606326722737, 0.16449083094626213, 0.030644752646471853, 0.1577090077497291, -0.1874575216704133, -0.051469233730864344, -0.24757829134662945, -0.10323294380849057, -0.14069062530373533, 0.06585298234210561, -0.06450622842592456, -0.14696145561721288, 0.31929842020688354, 0.16796173172805345, 0.16469419042043615, -0.004456027053211901, 0.3450875949594333, 0.131837632673595, 0.13797601569923712, 0.14465095350293047, 0.3024126995194379, 0.17384749426026688, 0.06487749066824715, -0.3388138143091717, 0.0851476611484858, 0.02166095936783787] |
710.1918 | Lithium production on a low-mass secondary in a black hole soft X-ray
transient | We examine production of Li on the surface of a low-mass secondary in a black
hole soft X-ray transient (BHSXT) through the spallation of CNO nuclei by
neutrons which are ejected from a hot (> 10 MeV) advection-dominated accretion
flow (ADAF) around the black hole. Using updated binary parameters, cross
sections of neutron-induced spallation reactions, and mass accretion rates in
ADAF derived from the spectrum fitting of multi-wavelength observations of
quiescent BHSXTs, we obtain the equilibrium abundances of Li by equating the
production rate of Li and the mass transfer rate through accretion to the black
hole. The resulting abundances are found to be in good agreement with the
observed values in seven BHSXTs. We note that the abundances vary in a
timescale longer than a few months in our model. Moreover, the isotopic ratio
Li6/Li7 is calculated to be about 0.7--0.8 on the secondaries, which is much
higher than the ratio measured in meteorites. Detection of such a high value is
favorable to the production of Li via spallation and the existence of a hot
accretion flow, rather than an accretion disk corona system in quiescent BHSXT.
| astro-ph | we examine production of li on the surface of a lowmass secondary in a black hole soft xray transient bhsxt through the spallation of cno nuclei by neutrons which are ejected from a hot 10 mev advectiondominated accretion flow adaf around the black hole using updated binary parameters cross sections of neutroninduced spallation reactions and mass accretion rates in adaf derived from the spectrum fitting of multiwavelength observations of quiescent bhsxts we obtain the equilibrium abundances of li by equating the production rate of li and the mass transfer rate through accretion to the black hole the resulting abundances are found to be in good agreement with the observed values in seven bhsxts we note that the abundances vary in a timescale longer than a few months in our model moreover the isotopic ratio li6li7 is calculated to be about 0708 on the secondaries which is much higher than the ratio measured in meteorites detection of such a high value is favorable to the production of li via spallation and the existence of a hot accretion flow rather than an accretion disk corona system in quiescent bhsxt | [['we', 'examine', 'production', 'of', 'li', 'on', 'the', 'surface', 'of', 'a', 'lowmass', 'secondary', 'in', 'a', 'black', 'hole', 'soft', 'xray', 'transient', 'bhsxt', 'through', 'the', 'spallation', 'of', 'cno', 'nuclei', 'by', 'neutrons', 'which', 'are', 'ejected', 'from', 'a', 'hot', '10', 'mev', 'advectiondominated', 'accretion', 'flow', 'adaf', 'around', 'the', 'black', 'hole', 'using', 'updated', 'binary', 'parameters', 'cross', 'sections', 'of', 'neutroninduced', 'spallation', 'reactions', 'and', 'mass', 'accretion', 'rates', 'in', 'adaf', 'derived', 'from', 'the', 'spectrum', 'fitting', 'of', 'multiwavelength', 'observations', 'of', 'quiescent', 'bhsxts', 'we', 'obtain', 'the', 'equilibrium', 'abundances', 'of', 'li', 'by', 'equating', 'the', 'production', 'rate', 'of', 'li', 'and', 'the', 'mass', 'transfer', 'rate', 'through', 'accretion', 'to', 'the', 'black', 'hole', 'the', 'resulting', 'abundances', 'are', 'found', 'to', 'be', 'in', 'good', 'agreement', 'with', 'the', 'observed', 'values', 'in', 'seven', 'bhsxts', 'we', 'note', 'that', 'the', 'abundances', 'vary', 'in', 'a', 'timescale', 'longer', 'than', 'a', 'few', 'months', 'in', 'our', 'model', 'moreover', 'the', 'isotopic', 'ratio', 'li6li7', 'is', 'calculated', 'to', 'be', 'about', '0708', 'on', 'the', 'secondaries', 'which', 'is', 'much', 'higher', 'than', 'the', 'ratio', 'measured', 'in', 'meteorites', 'detection', 'of', 'such', 'a', 'high', 'value', 'is', 'favorable', 'to', 'the', 'production', 'of', 'li', 'via', 'spallation', 'and', 'the', 'existence', 'of', 'a', 'hot', 'accretion', 'flow', 'rather', 'than', 'an', 'accretion', 'disk', 'corona', 'system', 'in', 'quiescent', 'bhsxt']] | [-0.049946750612714544, 0.17402686708381945, -0.0458661436287502, 0.12200307920715864, -0.010733081398379559, -0.06802458061509162, 0.06294756928704433, 0.3642249985260295, -0.18704728561883363, -0.341283563561584, 0.05532039340411487, -0.32744163617102817, 0.049727488919365945, 0.23885365728938768, -0.0368159756750114, 0.00823521081322694, 0.08219736730705456, -0.007541076907028372, -0.08256226726027288, -0.21508054121059703, 0.30193815310229805, 0.14056560081419545, 0.15962261522884716, 0.01806853526875704, 0.0186141495782227, -0.09330160484091471, -0.014491613729470562, -0.04106795311915678, -0.17500155063616757, 0.08049857199376265, 0.22793827642006084, 0.1122100876451081, 0.13995843691812768, -0.38166486495430324, -0.24477905177275885, 0.05802747654948629, 0.15769191344708697, 0.05022630930026215, -0.11063363610454681, -0.18380032476117056, 0.08287223496290108, -0.271460062272816, -0.10240424382193321, 0.05991734973165196, 0.04831249911880509, 0.0189541050490084, -0.2528408496630388, 0.13442567269609484, 0.026553296965065892, 0.0356478996275525, -0.16053828611268897, -0.09991484438772774, -0.12364811429134724, 0.054236404958518815, 0.12110046990174841, 0.03029461174046846, 0.23942791388861343, -0.10595300379453884, -0.03077612883554628, 0.384145462624524, -0.11824349458398141, -0.038667915864837366, 0.190613543096633, -0.23178055586682245, -0.12683026509866077, 0.22809533205824895, 0.1747362865442103, 0.18657855097982254, -0.1754265119894766, -0.03254525969924334, -0.02689070198403487, 0.21928591732764718, 0.095633112620767, 0.004495714501639928, 0.3171462585182431, 0.1778088774798172, -0.005587140885616683, 0.09214127848531212, -0.16713003046135164, -0.07196840843451875, -0.22242583741259936, -0.1292754938304015, -0.10426020773849194, 0.1352448816472603, -0.11884549315124916, -0.10081528732041409, 0.31453049288049423, 0.06923871744388285, 0.26718989712733693, -0.020332703226153832, 0.30984823252227933, 0.10637790622422472, 0.04078215991075222, 0.1546559295294663, 0.363688175812118, 0.17966661862466116, 0.11851488635875285, -0.2684158274985768, 0.12873069560257616, 0.06296688688590811] |
710.1919 | Increasing power of the test through pre-test - a robust method | This paper develops robust test procedures for testing the intercept of a
simple regression model when it is \textit{apriori} suspected that the slope
has a specified value. Defining unrestricted test (UT), restricted test (RT)
and pre-test test (PTT) corresponding to the unrestricted (UE), restricted
(RE), and preliminary test estimators (PTE) in the estimation case, the
M-estimation methodology is used to formulate the M-tests and derive their
asymptotic power functions. Analytical and graphical comparisons of the three
tests are obtained by studying the power functions with respect to size and
power of the tests. It is shown that PTT achieves a reasonable dominance over
the others asymptotically.
| math.ST stat.TH | this paper develops robust test procedures for testing the intercept of a simple regression model when it is textitapriori suspected that the slope has a specified value defining unrestricted test ut restricted test rt and pretest test ptt corresponding to the unrestricted ue restricted re and preliminary test estimators pte in the estimation case the mestimation methodology is used to formulate the mtests and derive their asymptotic power functions analytical and graphical comparisons of the three tests are obtained by studying the power functions with respect to size and power of the tests it is shown that ptt achieves a reasonable dominance over the others asymptotically | [['this', 'paper', 'develops', 'robust', 'test', 'procedures', 'for', 'testing', 'the', 'intercept', 'of', 'a', 'simple', 'regression', 'model', 'when', 'it', 'is', 'textitapriori', 'suspected', 'that', 'the', 'slope', 'has', 'a', 'specified', 'value', 'defining', 'unrestricted', 'test', 'ut', 'restricted', 'test', 'rt', 'and', 'pretest', 'test', 'ptt', 'corresponding', 'to', 'the', 'unrestricted', 'ue', 'restricted', 're', 'and', 'preliminary', 'test', 'estimators', 'pte', 'in', 'the', 'estimation', 'case', 'the', 'mestimation', 'methodology', 'is', 'used', 'to', 'formulate', 'the', 'mtests', 'and', 'derive', 'their', 'asymptotic', 'power', 'functions', 'analytical', 'and', 'graphical', 'comparisons', 'of', 'the', 'three', 'tests', 'are', 'obtained', 'by', 'studying', 'the', 'power', 'functions', 'with', 'respect', 'to', 'size', 'and', 'power', 'of', 'the', 'tests', 'it', 'is', 'shown', 'that', 'ptt', 'achieves', 'a', 'reasonable', 'dominance', 'over', 'the', 'others', 'asymptotically']] | [-0.06653291569645739, -0.0013991333865782335, -0.11861239447302761, 0.11824895807076245, -0.06680890045439204, -0.22915078792277546, 0.06695268800415631, 0.3509602132829882, -0.20229302381963601, -0.2818016285237501, 0.11612219141153175, -0.24079937275853894, -0.09573475852874773, 0.20602830855087156, -0.0629374737806973, 0.12490339681195715, 0.03481381225976206, 0.0394278967132171, -0.08979388074949383, -0.25946520257386424, 0.23396608024791238, 0.11390766282344149, 0.33501415871793316, -0.01776422123823847, 0.09365661329634133, 0.02891908819964599, -0.05126771158760502, 0.06604642451386011, -0.14920652783766855, 0.07443480828244771, 0.23521874015707345, 0.16908926376185957, 0.30763939800007, -0.3264921944411028, -0.16253332121386416, 0.10353420692540351, 0.08241339749434874, 0.028835228945882547, 0.001170050503597373, -0.22315510490110943, 0.12861000559115338, -0.18559989948047415, -0.13777624231089639, -0.07629939162482818, -0.004495071466191716, 0.028586807563191367, -0.38378965485441896, 0.09130515376371996, 0.04544000994591486, 0.06925877692798774, -0.03497549840027378, -0.13394204486338865, 0.01775898410096055, 0.11185917938266704, 0.1040205615228929, 0.008962816691824369, 0.0887072724157146, -0.10486694969946429, -0.07800915854583894, 0.3586342504070628, 0.005710130155785009, -0.24281876222895724, 0.18126836223971277, -0.12986278875863977, -0.11018787100467653, 0.06509737598313396, 0.17290182723885492, 0.11072063471323677, -0.15380011975080596, 0.0875813360165228, -0.07510224349708075, 0.15983069844189143, 0.06058456667565874, -0.06629507198397602, 0.13689534688656707, 0.1462544594079234, 0.03439293692686728, 0.15314736000838733, -0.1018963213677385, -0.07200149188172959, -0.3146505302350436, -0.12030893668831726, -0.16319104162976145, -0.010540476840521609, -0.13423832823408746, -0.17004099010262594, 0.3985086334248384, 0.1615514812281444, 0.1471416853856118, 0.16545848414202088, 0.29265697790043693, 0.16850652307981537, 0.03231267022368099, 0.10506345397748408, 0.23407767306835878, 0.1270634574372144, 0.03273110237981503, -0.20017373403534294, 0.10799668076270748, 0.00821078918829915] |
710.192 | The Secrecy Capacity of the MIMO Wiretap Channel | We consider the MIMO wiretap channel, that is a MIMO broadcast channel where
the transmitter sends some confidential information to one user which is a
legitimate receiver, while the other user is an eavesdropper. Perfect secrecy
is achieved when the the transmitter and the legitimate receiver can
communicate at some positive rate, while insuring that the eavesdropper gets
zero bits of information. In this paper, we compute the perfect secrecy
capacity of the multiple antenna MIMO broadcast channel, where the number of
antennas is arbitrary for both the transmitter and the two receivers.
| cs.IT cs.CR math.IT | we consider the mimo wiretap channel that is a mimo broadcast channel where the transmitter sends some confidential information to one user which is a legitimate receiver while the other user is an eavesdropper perfect secrecy is achieved when the the transmitter and the legitimate receiver can communicate at some positive rate while insuring that the eavesdropper gets zero bits of information in this paper we compute the perfect secrecy capacity of the multiple antenna mimo broadcast channel where the number of antennas is arbitrary for both the transmitter and the two receivers | [['we', 'consider', 'the', 'mimo', 'wiretap', 'channel', 'that', 'is', 'a', 'mimo', 'broadcast', 'channel', 'where', 'the', 'transmitter', 'sends', 'some', 'confidential', 'information', 'to', 'one', 'user', 'which', 'is', 'a', 'legitimate', 'receiver', 'while', 'the', 'other', 'user', 'is', 'an', 'eavesdropper', 'perfect', 'secrecy', 'is', 'achieved', 'when', 'the', 'the', 'transmitter', 'and', 'the', 'legitimate', 'receiver', 'can', 'communicate', 'at', 'some', 'positive', 'rate', 'while', 'insuring', 'that', 'the', 'eavesdropper', 'gets', 'zero', 'bits', 'of', 'information', 'in', 'this', 'paper', 'we', 'compute', 'the', 'perfect', 'secrecy', 'capacity', 'of', 'the', 'multiple', 'antenna', 'mimo', 'broadcast', 'channel', 'where', 'the', 'number', 'of', 'antennas', 'is', 'arbitrary', 'for', 'both', 'the', 'transmitter', 'and', 'the', 'two', 'receivers']] | [-0.37711273816724616, 0.043609449651338894, 0.004841452549582207, -0.008428875634181363, -0.12360822147519518, -0.4534808949777676, 0.12319515121885405, 0.3347985075426198, -0.2788402974124878, -0.19041438712187672, 0.10378384529437709, -0.34496623574085133, -0.11260723178675498, 0.02760231382994642, -0.13175893775237504, 0.014880756016380043, -0.017210350006378147, 0.191754647560658, 0.034807981768002115, -0.3337712958279837, 0.33978191444710376, 0.13965369062998922, 0.3223699628906224, 0.02550856945335224, 0.1275010224061227, 0.03685266258175014, 0.04317894975544624, -0.15890032785033348, -0.07952486781321431, -0.02903457199253382, 0.41615744952553063, 0.25127882292113635, 0.2341433753890376, -0.3757836318184291, -0.2732322959890289, 0.08423937482619158, 0.16253461310594913, 0.11565648154380621, -0.05618852277296365, -0.3052078966271653, 0.15845094707112112, -0.25644488907068647, 0.0728933072538786, 0.1797211757831035, -0.18745453645705537, 0.016544128877050694, -0.44047104100626644, -0.047662183111633664, 0.0018013359438027105, 0.04586926133682331, -0.011054669561926075, -0.10775649690780267, 0.03557707148513967, 0.26962527425325056, 0.04250298729241495, -0.0005996913025756517, 0.06186316117784509, -0.12920522270974533, -0.05076719136027399, 0.30790788715615147, 0.03706468613718145, -0.2938779205163961, 0.08965242798978423, -0.16154113962184838, -0.01598355874309056, 0.20891296455977104, 0.23638987024464914, 0.02255556521116085, -0.18468046806059824, 0.02411693595825464, -0.07373088088527482, 0.24662435286107562, 0.12068908791788803, 0.2117031674571736, 0.13711784046984488, 0.08194054673946592, 0.1790175991112827, 0.1998447292360417, -0.1448059620145428, -0.13707573759690006, -0.23041049480721135, -0.19762979765292457, -0.32365133290890086, 0.027547523354290313, -0.12669711878932563, 0.026691226328733147, 0.3140846100105073, 0.13431356952185192, 0.06794521343764118, 0.14779755670542238, 0.5133056114277532, 0.06077735475640023, -0.018666747416700085, 0.20079845587112088, 0.19525105165009718, 0.16715040641726667, 0.0989761447123382, -0.182737831289189, 0.1023679832397129, -0.12429120801188932] |
710.1921 | Spin Order in Paired Quantum Hall States | We consider quantum Hall states at even-denominator filling fractions,
especially $\nu=5/2$, in the limit of small Zeeman energy. Assuming that a
paired quantum Hall state forms, we study spin ordering and its interplay with
pairing. We give numerical evidence that at $\nu = 5/2$ an incompressible
ground state will exhibit spontaneous ferromagnetism. The Ginzburg-Landau
theory for the spin degrees of freedom of paired Hall states is a perturbed
CP$^2$ model. We compute the coefficients in the Ginzburg-Landau theory by a
BCS-Stoner mean field theory for coexisting order parameters, and show that
even if repulsion is smaller than that required for a Stoner instability,
ferromagnetic fluctuations can induce a partially or fully polarized
superconducting state.
| cond-mat.mes-hall | we consider quantum hall states at evendenominator filling fractions especially nu52 in the limit of small zeeman energy assuming that a paired quantum hall state forms we study spin ordering and its interplay with pairing we give numerical evidence that at nu 52 an incompressible ground state will exhibit spontaneous ferromagnetism the ginzburglandau theory for the spin degrees of freedom of paired hall states is a perturbed cp2 model we compute the coefficients in the ginzburglandau theory by a bcsstoner mean field theory for coexisting order parameters and show that even if repulsion is smaller than that required for a stoner instability ferromagnetic fluctuations can induce a partially or fully polarized superconducting state | [['we', 'consider', 'quantum', 'hall', 'states', 'at', 'evendenominator', 'filling', 'fractions', 'especially', 'nu52', 'in', 'the', 'limit', 'of', 'small', 'zeeman', 'energy', 'assuming', 'that', 'a', 'paired', 'quantum', 'hall', 'state', 'forms', 'we', 'study', 'spin', 'ordering', 'and', 'its', 'interplay', 'with', 'pairing', 'we', 'give', 'numerical', 'evidence', 'that', 'at', 'nu', '52', 'an', 'incompressible', 'ground', 'state', 'will', 'exhibit', 'spontaneous', 'ferromagnetism', 'the', 'ginzburglandau', 'theory', 'for', 'the', 'spin', 'degrees', 'of', 'freedom', 'of', 'paired', 'hall', 'states', 'is', 'a', 'perturbed', 'cp2', 'model', 'we', 'compute', 'the', 'coefficients', 'in', 'the', 'ginzburglandau', 'theory', 'by', 'a', 'bcsstoner', 'mean', 'field', 'theory', 'for', 'coexisting', 'order', 'parameters', 'and', 'show', 'that', 'even', 'if', 'repulsion', 'is', 'smaller', 'than', 'that', 'required', 'for', 'a', 'stoner', 'instability', 'ferromagnetic', 'fluctuations', 'can', 'induce', 'a', 'partially', 'or', 'fully', 'polarized', 'superconducting', 'state']] | [-0.2403193278236618, 0.2906840917557929, -0.0691334479238971, 0.0830886889951736, -0.018813269115136273, -0.14794433787964018, 0.0564902655678452, 0.29504605625489994, -0.24233902116040035, -0.2636237933641366, 0.01739414444663063, -0.3024703785444477, -0.1234034701753574, 0.12928147917097835, 0.06791484714735166, -0.017895581760447903, -0.011675953736162878, -0.007714489840769342, -0.10840319780046619, -0.21560376718116459, 0.32115300361017163, -0.045735855929836235, 0.27312420373657786, 0.04555142853288479, 0.07365038393930133, -0.0025186760114073487, 0.16128502475580067, 0.052254426334651986, -0.1677099123701607, 0.02485290002680683, 0.26256529783131555, -0.1016118791885674, 0.21059850725578144, -0.4431969537981786, -0.19322420265338483, 0.06402374768263794, 0.11403251573418467, 0.19339220846138364, -0.02229719057296669, -0.29891088483938283, 0.07114774098694657, -0.21273528429030972, -0.16744882486636925, -0.13419935343387937, 0.005449147234945225, -0.07692762585273678, -0.27135589747090955, 0.1470203358330764, 0.07587592469021079, 0.09726494033488312, -0.10099148800301398, -0.1391594739647449, -0.0676265817434926, 0.030036350231966935, -0.008288096904704747, 0.04852613180784309, 0.093327512498945, -0.22035998794932052, -0.17262138161874777, 0.3230139583174605, -0.07264931987616105, -0.18931386195721903, 0.158629413644251, -0.2114586690066582, -0.0680819961333847, 0.17859890599668557, 0.1167151307288025, 0.06144792693001883, -0.04049250230725322, 0.09248894829735425, -0.05372622033714184, 0.21275526374353962, 0.0020200179839905885, 0.0743686687637819, 0.25968118447677363, 0.1470758684465961, 0.09402028165641241, 0.14967931594167436, -0.12873425098119437, -0.12439884380520587, -0.3043694387670257, -0.172526461704235, -0.21191298430286615, 0.13482148914551675, -0.009207145198420872, -0.15173977722380577, 0.3592918224998617, 0.13853991195771545, 0.15390978225124335, -0.0047017971581746155, 0.22488532924242982, 0.16198254557093605, 0.0013442817476711103, 0.07551419933172708, 0.23163598476873762, 0.19740171424720238, 0.05217823782835954, -0.3032609618634784, 0.027432381058523397, 0.045524455813262775] |
710.1922 | On the anomalous dimensions of the multiple pomeron exchanges | High energy hard scattering in large $N_{c}$ limit can be described by the
QCD dipole model. In this paper, single, double and triple BFKL pomeron
exchange amplitudes are computed explicitly within the dipole model. Based on
the calculation, the general formula
$\gamma^{(k)*}_{0}=\chi^{-1}(k\chi({1/2}))$ which governs the anomalous
dimension of $1\Rightarrow k$ amplitude is conjectured. As far as the unitarity
problem is concerned, we find that the anomalous dimension $\gamma$ varies from
graph to graph due to the DGLAP evolution. In the end, a comparison between
this computation and reggeon field theory is provided.
| hep-ph | high energy hard scattering in large n_c limit can be described by the qcd dipole model in this paper single double and triple bfkl pomeron exchange amplitudes are computed explicitly within the dipole model based on the calculation the general formula gammak_0chi1kchi12 which governs the anomalous dimension of 1rightarrow k amplitude is conjectured as far as the unitarity problem is concerned we find that the anomalous dimension gamma varies from graph to graph due to the dglap evolution in the end a comparison between this computation and reggeon field theory is provided | [['high', 'energy', 'hard', 'scattering', 'in', 'large', 'n_c', 'limit', 'can', 'be', 'described', 'by', 'the', 'qcd', 'dipole', 'model', 'in', 'this', 'paper', 'single', 'double', 'and', 'triple', 'bfkl', 'pomeron', 'exchange', 'amplitudes', 'are', 'computed', 'explicitly', 'within', 'the', 'dipole', 'model', 'based', 'on', 'the', 'calculation', 'the', 'general', 'formula', 'gammak_0chi1kchi12', 'which', 'governs', 'the', 'anomalous', 'dimension', 'of', '1rightarrow', 'k', 'amplitude', 'is', 'conjectured', 'as', 'far', 'as', 'the', 'unitarity', 'problem', 'is', 'concerned', 'we', 'find', 'that', 'the', 'anomalous', 'dimension', 'gamma', 'varies', 'from', 'graph', 'to', 'graph', 'due', 'to', 'the', 'dglap', 'evolution', 'in', 'the', 'end', 'a', 'comparison', 'between', 'this', 'computation', 'and', 'reggeon', 'field', 'theory', 'is', 'provided']] | [-0.11840976763946506, 0.1541958861871735, -0.09510676749050617, 0.1297823062158896, -0.059727756275826105, -0.10593659112966813, 0.030430622905451846, 0.32676711029649436, -0.24916090314777997, -0.2869498749048664, 0.014768190299426871, -0.2804572543968539, -0.1418926165654109, 0.12375468510499858, 0.015167732587772431, 0.034748439462139055, 0.02690297612091424, 0.07132022748036045, -0.03030217743662933, -0.16511771422465443, 0.32122759865392203, 0.019434824028144497, 0.2500701946625998, 0.12831491434046036, 0.057365772764679496, 0.07911852930076319, -0.019131066789338878, 0.00197770646619764, -0.1230476489396936, 0.08129680686077656, 0.23530656467754762, 0.022939096327748272, 0.1328977978286835, -0.396487449252323, -0.156343856660117, 0.08988825449269715, 0.19336284802980966, 0.110882100949811, 0.06898558762431103, -0.2131598723110753, 0.06843133922282524, -0.18713385402992533, -0.17281672525843914, -0.07117163575929845, 0.005729654196209714, -0.052344926192865265, -0.2914258634548757, 0.06275664758420764, 0.004012888072283714, -0.0014795695359890277, 0.005972502133962544, -0.1269995947483579, -0.026699035889008543, 0.0868941793540636, 0.07825042288955096, 0.10833507604323901, 0.10017882676406221, -0.17685803599594221, -0.14565208618808026, 0.36318345962266263, -0.07167558640159749, -0.14949082969022648, 0.10653011390560685, -0.18833372256831155, -0.1560860487356127, 0.16146530551774488, 0.14387102595755605, 0.10552324940563067, -0.16798618401063012, 0.21572971877081967, -0.010140944128999343, 0.1570913152446827, 0.08116075156766993, 0.002207108214881353, 0.1753791932472038, 0.16197713780738823, -0.022815278526600244, 0.12439407774178148, -0.06533083027730194, -0.1178703315576518, -0.3694650018997081, -0.06374082348186645, -0.2099088890641764, 0.07249871923864543, -0.13985043050750712, -0.16178973961703397, 0.31637046340812036, 0.10454775173994867, 0.20569031453271816, 0.0479859837451131, 0.3120042724064091, 0.22492219494133778, 0.06607244409886855, 0.08962874647721157, 0.2664538334318242, 0.1935036622811682, 0.12111676642466541, -0.260978930422545, 0.019367251642416795, 0.13390136842748948] |
710.1923 | Omni-Lie algebroids | A generalized Courant algebroid structure is defined on the direct sum bundle
D(E) +J(E), where D(E) and J(E) are the gauge Lie algebroid and the jet bundle
of a vector bundle E respectively. Such a structure is called an omni-Lie
algebroid since it is reduced to the omni-Lie algebra introduced by A.Weinstein
if the base manifold is a point. We prove that any Lie algebroid structure on E
is characterized by a Dirac structure as the graph of a bundle map from J(E) to
D(E).
| math-ph math.MP math.SG | a generalized courant algebroid structure is defined on the direct sum bundle de je where de and je are the gauge lie algebroid and the jet bundle of a vector bundle e respectively such a structure is called an omnilie algebroid since it is reduced to the omnilie algebra introduced by aweinstein if the base manifold is a point we prove that any lie algebroid structure on e is characterized by a dirac structure as the graph of a bundle map from je to de | [['a', 'generalized', 'courant', 'algebroid', 'structure', 'is', 'defined', 'on', 'the', 'direct', 'sum', 'bundle', 'de', 'je', 'where', 'de', 'and', 'je', 'are', 'the', 'gauge', 'lie', 'algebroid', 'and', 'the', 'jet', 'bundle', 'of', 'a', 'vector', 'bundle', 'e', 'respectively', 'such', 'a', 'structure', 'is', 'called', 'an', 'omnilie', 'algebroid', 'since', 'it', 'is', 'reduced', 'to', 'the', 'omnilie', 'algebra', 'introduced', 'by', 'aweinstein', 'if', 'the', 'base', 'manifold', 'is', 'a', 'point', 'we', 'prove', 'that', 'any', 'lie', 'algebroid', 'structure', 'on', 'e', 'is', 'characterized', 'by', 'a', 'dirac', 'structure', 'as', 'the', 'graph', 'of', 'a', 'bundle', 'map', 'from', 'je', 'to', 'de']] | [-0.25026798344710294, 0.036912281710058725, -0.09538022613919833, 0.0794351434787078, -0.24036284333971494, -0.12435539839241434, -0.026271165000713047, 0.36190898234353347, -0.3530719239264727, -0.2175635522341027, 0.044556522583041124, -0.19949528466471855, -0.21814771621652385, 0.13809433576157865, -0.12640139052425237, -0.08597003792357795, 0.05866523901110186, 0.1433110816459007, -0.07843769022592288, -0.15033794651527013, 0.45655744601698484, 0.1089816609822104, 0.26848995959495797, 0.006583982328062548, 0.1882136234904037, 0.015338684777345728, 0.055913835046265056, -0.006817024069673875, -0.11071078670253937, 0.06602580420782461, 0.27236874546198286, 0.06425546292927774, 0.17762983766220072, -0.3230633718673797, -0.14055893091375338, 0.14211053924963754, 0.08929369629853788, -0.0689577693996184, 0.03257625196950839, -0.31887902880416197, 0.12035105186788475, -0.18562505148789463, -0.07305992359213312, -0.05547284041257466, 0.060372154020211274, -0.06412685396259322, -0.20208686862743513, -0.03870056333458599, 0.07217845807180685, 0.09723007795126999, -0.05916692871764741, -0.07405999696210903, -0.19063754261416546, -0.047119181778501065, -0.06956345528528532, 0.11113899337292156, 0.172948213644764, -0.041963891389177124, -0.14128033650272032, 0.39898523718995205, -0.08526623329038129, -0.2643972152405802, 0.04636131768827053, -0.10223536176935714, -0.1581373111180523, 0.1264823574134532, 0.017563961999600426, 0.1369285134598613, -0.016000383448622684, 0.23665070182999925, -0.10782449210870683, 0.009566700076752836, 0.09715848968857352, -0.10501853771617307, 0.14954822239849497, 0.14933466868584647, 0.09861043238026254, -0.010649848203448688, -0.0026627466027789254, -0.056742313530241305, -0.34143470146638505, -0.29628496865796694, -0.1334414981853436, 0.19023526145473998, -0.05144927802783273, -0.17798279508510056, 0.37967004182145875, 0.02189529103172176, 0.28449775212280015, 0.06381087325075094, 0.18869058464872926, 0.10905612583189983, 0.09279388927799814, 0.10952738014542882, 0.18171338159864878, 0.27193239459987073, 0.05079429471207892, -0.09093079753494, -0.10513856177875662, 0.20795068022082833] |
710.1924 | A Heuristic Routing Mechanism Using a New Addressing Scheme | Current methods of routing are based on network information in the form of
routing tables, in which routing protocols determine how to update the tables
according to the network changes. Despite the variability of data in routing
tables, node addresses are constant. In this paper, we first introduce the new
concept of variable addresses, which results in a novel framework to cope with
routing problems using heuristic solutions. Then we propose a heuristic routing
mechanism based on the application of genes for determination of network
addresses in a variable address network and describe how this method flexibly
solves different problems and induces new ideas in providing integral solutions
for variety of problems. The case of ad-hoc networks is where simulation
results are more supportive and original solutions have been proposed for
issues like mobility.
| cs.NI cs.AI | current methods of routing are based on network information in the form of routing tables in which routing protocols determine how to update the tables according to the network changes despite the variability of data in routing tables node addresses are constant in this paper we first introduce the new concept of variable addresses which results in a novel framework to cope with routing problems using heuristic solutions then we propose a heuristic routing mechanism based on the application of genes for determination of network addresses in a variable address network and describe how this method flexibly solves different problems and induces new ideas in providing integral solutions for variety of problems the case of adhoc networks is where simulation results are more supportive and original solutions have been proposed for issues like mobility | [['current', 'methods', 'of', 'routing', 'are', 'based', 'on', 'network', 'information', 'in', 'the', 'form', 'of', 'routing', 'tables', 'in', 'which', 'routing', 'protocols', 'determine', 'how', 'to', 'update', 'the', 'tables', 'according', 'to', 'the', 'network', 'changes', 'despite', 'the', 'variability', 'of', 'data', 'in', 'routing', 'tables', 'node', 'addresses', 'are', 'constant', 'in', 'this', 'paper', 'we', 'first', 'introduce', 'the', 'new', 'concept', 'of', 'variable', 'addresses', 'which', 'results', 'in', 'a', 'novel', 'framework', 'to', 'cope', 'with', 'routing', 'problems', 'using', 'heuristic', 'solutions', 'then', 'we', 'propose', 'a', 'heuristic', 'routing', 'mechanism', 'based', 'on', 'the', 'application', 'of', 'genes', 'for', 'determination', 'of', 'network', 'addresses', 'in', 'a', 'variable', 'address', 'network', 'and', 'describe', 'how', 'this', 'method', 'flexibly', 'solves', 'different', 'problems', 'and', 'induces', 'new', 'ideas', 'in', 'providing', 'integral', 'solutions', 'for', 'variety', 'of', 'problems', 'the', 'case', 'of', 'adhoc', 'networks', 'is', 'where', 'simulation', 'results', 'are', 'more', 'supportive', 'and', 'original', 'solutions', 'have', 'been', 'proposed', 'for', 'issues', 'like', 'mobility']] | [-0.14679824556276175, 0.0029062409815725997, -0.05383352443937268, 0.03705484898493333, -0.11041931942480603, -0.18297005589676105, 0.09390459047307247, 0.4133040892488476, -0.2763988950790198, -0.3235441001563041, 0.11312056169975479, -0.23373192567517287, -0.20188294530415268, 0.18531959098694262, -0.159367792822643, 0.08591354169549226, 0.08314335798504137, -0.007675774475392788, -0.03691456973232996, -0.23130448810832657, 0.38111054604706257, 0.02717192958407938, 0.31211875971239894, 0.08245524686914105, 0.11505355130717743, -0.007896900673938998, -0.07643543250177667, 0.023114216796662434, -0.1301699052530049, 0.17072637044480843, 0.29183447066131535, 0.20622350820235963, 0.3013572552199684, -0.4463344486048028, -0.24614047189938154, 0.08122213079885983, 0.15044396875579077, 0.13502894486335398, -0.024871364142593697, -0.2582179845654781, 0.14145690382722376, -0.1758216263781955, -0.06703615328470773, -0.10639387659064786, -0.010279701018372356, 0.07014950610864074, -0.25050522908637884, 0.01550452584233969, -0.025962576395206487, -0.0021417229227832894, -0.08386202681281452, -0.09459213779738812, 0.08985973310086932, 0.12120477041688317, 0.03989681999595252, -0.0003307300816123276, 0.1047580752716358, -0.1291264830706224, -0.2189189765216616, 0.3982999935023375, 0.012398086962595915, -0.23064507880428833, 0.10809763944568808, 0.035941935835906595, -0.2007902796595677, 0.08075165796552354, 0.24357923406085916, 0.12759414072315306, -0.19009796912962598, 0.023418484702654212, -0.03754095354902822, 0.13926032729057677, 0.027938696950215346, 0.028225793329470637, 0.12498521423419076, 0.2373532586285337, 0.12413970939988798, 0.13029996896815946, -0.06561610365543626, -0.12790301780619506, -0.22794146785675895, -0.13384450179717586, -0.15727419978695742, -0.03233944523971834, -0.09120142661391692, -0.16059387442412607, 0.4325730384782707, 0.2210050643571138, 0.20240624350801445, 0.06026557014400223, 0.30930770379699657, 0.05547550271279109, 0.05357532869191943, 0.1521864558201728, 0.16470013538187842, 0.05263267955117261, 0.16225646662094922, -0.16388921096309353, 0.13200226510395366, 0.07690626046439605] |
710.1925 | Chalker-Coddington model described by an S-matrix with odd dimensions | The Chalker-Coddington network model is often used to describe the transport
properties of quantum Hall systems. By adding an extra channel to this model,
we introduce an asymmetric model with profoundly different transport
properties. We present a numerical analysis of these transport properties and
consider the relevance for realistic systems.
| cond-mat.mes-hall cond-mat.dis-nn | the chalkercoddington network model is often used to describe the transport properties of quantum hall systems by adding an extra channel to this model we introduce an asymmetric model with profoundly different transport properties we present a numerical analysis of these transport properties and consider the relevance for realistic systems | [['the', 'chalkercoddington', 'network', 'model', 'is', 'often', 'used', 'to', 'describe', 'the', 'transport', 'properties', 'of', 'quantum', 'hall', 'systems', 'by', 'adding', 'an', 'extra', 'channel', 'to', 'this', 'model', 'we', 'introduce', 'an', 'asymmetric', 'model', 'with', 'profoundly', 'different', 'transport', 'properties', 'we', 'present', 'a', 'numerical', 'analysis', 'of', 'these', 'transport', 'properties', 'and', 'consider', 'the', 'relevance', 'for', 'realistic', 'systems']] | [-0.15265472354367376, 0.08203496176342014, -0.08326846297830343, 0.04246602145954967, -0.015203531915321946, -0.16780813419260085, -0.004646726967766881, 0.3671716302190907, -0.3410821946710348, -0.3017915992392227, 0.07195256249979139, -0.25627563051879404, -0.22532409593462943, 0.17929668402764945, -0.02045184200629592, 0.08373497269814834, 0.029400545349344612, -0.037273090481758114, -0.05074869615957141, -0.18656867174431682, 0.3470786231942475, 0.08044136638520286, 0.28970441544428466, 0.03163360283244401, 0.06905318992212414, 0.03469718263484538, 0.013214819692075252, 0.038125233890023084, -0.19747262788936495, 0.13669824223034083, 0.14570086628198622, 0.030437965877354145, 0.19313807480037212, -0.4680015243962407, -0.32791457857936623, 0.05083131706342101, 0.1140451169386506, 0.1522196852369234, -0.0713491845317185, -0.2569776788912714, 0.0651775388745591, -0.23457464069128037, -0.12071786848362535, -0.12589445643126965, -0.035753401778638366, -0.009913037605583668, -0.235876696575433, 0.06644702572375535, 0.053666147366166116, 0.04387189168483019, -0.048314865650609135, -0.1117949329689145, 0.007727138912305236, 0.1436206005141139, -0.02064245698042214, -0.09511549568735063, 0.12344353476539255, -0.1928758981777355, -0.1725791812222451, 0.3965785098075867, -0.03255267939530313, -0.25759137481451033, 0.2441633426689077, -0.08277195601724088, -0.09291105546057224, 0.05158969149924815, 0.238371113371104, 0.10247456471435726, -0.21995327062904835, 0.03362358790705912, -0.07709490543231368, 0.1543440449796617, -0.10659712378401309, 0.0705923735164106, 0.22147229816764594, 0.22526616264134647, 0.0030238155461847784, 0.19874449461698532, -0.08574628169648349, -0.11734210263937711, -0.28737314134836195, -0.14831097869202495, -0.11909907789435238, 0.07065995716722683, -0.05034474050597055, -0.16889452854171394, 0.4230256977677345, 0.24965888177976012, 0.21287271875888109, -0.004959143633022904, 0.27955857610329987, 0.1575993075966835, 0.026174968713894485, 0.07681496533565223, 0.19306741088628768, 0.13715610385406762, 0.12016233531758189, -0.26397182929329577, 0.08085727006196976, 0.025495471358299257] |
710.1926 | Eradication of singularities in the next-to-leading order RG evolution
for the \Delta S = 1 effective Hamiltonian with 3 quark flavours | We consider the renormalization group evolution for the operators in the
$\Delta S=1$ effective Hamiltonian with 3 active quark flavors, which is needed
in the numerical analysis of data sets for $\epsilon'/\epsilon$ calculated in
lattice QCD. Singularities are present in the original solution of Buras et al.
at next-to-leading order. We show how these can be eradicated through a method
of analytic continuation to obtain the correct finite solution in this case.
Furthermore, we trace the origin of the singularities to a breakdown of the
approach of Buras et al. in the 3 flavour case, and show how it can be
rectified so that singularitites are absent from the beginning.
| hep-lat | we consider the renormalization group evolution for the operators in the delta s1 effective hamiltonian with 3 active quark flavors which is needed in the numerical analysis of data sets for epsilonepsilon calculated in lattice qcd singularities are present in the original solution of buras et al at nexttoleading order we show how these can be eradicated through a method of analytic continuation to obtain the correct finite solution in this case furthermore we trace the origin of the singularities to a breakdown of the approach of buras et al in the 3 flavour case and show how it can be rectified so that singularitites are absent from the beginning | [['we', 'consider', 'the', 'renormalization', 'group', 'evolution', 'for', 'the', 'operators', 'in', 'the', 'delta', 's1', 'effective', 'hamiltonian', 'with', '3', 'active', 'quark', 'flavors', 'which', 'is', 'needed', 'in', 'the', 'numerical', 'analysis', 'of', 'data', 'sets', 'for', 'epsilonepsilon', 'calculated', 'in', 'lattice', 'qcd', 'singularities', 'are', 'present', 'in', 'the', 'original', 'solution', 'of', 'buras', 'et', 'al', 'at', 'nexttoleading', 'order', 'we', 'show', 'how', 'these', 'can', 'be', 'eradicated', 'through', 'a', 'method', 'of', 'analytic', 'continuation', 'to', 'obtain', 'the', 'correct', 'finite', 'solution', 'in', 'this', 'case', 'furthermore', 'we', 'trace', 'the', 'origin', 'of', 'the', 'singularities', 'to', 'a', 'breakdown', 'of', 'the', 'approach', 'of', 'buras', 'et', 'al', 'in', 'the', '3', 'flavour', 'case', 'and', 'show', 'how', 'it', 'can', 'be', 'rectified', 'so', 'that', 'singularitites', 'are', 'absent', 'from', 'the', 'beginning']] | [-0.0927754922710154, 0.10594510700587832, -0.10973148217527282, 0.06723363054574492, -0.042807241950884735, -0.07326633088000187, 0.052641833681664474, 0.35151332403199936, -0.22303694857438222, -0.27369164148721536, 0.09306460392763924, -0.30372556903903636, -0.15889667801627325, 0.14118318142659894, -0.03558023611015273, 0.05024864724110983, 0.03893789358505415, 0.015030339475584412, -0.08500818639711707, -0.2673409754226685, 0.30649715808963557, 0.017103332005133597, 0.19855044326753518, 0.0865999306338506, 0.040789167312349814, -0.020633427315143817, -0.035360455906035704, 0.015409517375359295, -0.12947725619376613, 0.05740610019244049, 0.2507990655257503, 0.08181029488546175, 0.1954471424623572, -0.4077325924855033, -0.1981970228814443, 0.08866515589895052, 0.1591137248142665, 0.1439929624214136, -0.029007007846386608, -0.24596921967581734, 0.12082007388827827, -0.1827464795440709, -0.16327191720964437, -0.10056302091533985, -0.004058177758076596, -0.011094333074235041, -0.286917849341322, 0.09319664929740328, 0.017880474883687058, 0.020359822061903978, -0.023746640993914474, -0.10084285150034301, -0.020568475357914735, 0.08848113934893947, 0.0439185890114926, 0.050616616900121675, 0.051917711037869026, -0.11613711658566164, -0.11549067710645906, 0.3989125651973855, -0.08259948663340899, -0.19376320210755418, 0.14004716880132503, -0.17550050121210858, -0.15025350964978473, 0.09657783852462921, 0.14603281130911697, 0.13974435878234034, -0.1345519919232508, 0.14692147130759672, -0.05387583391211175, 0.12433644601169529, 0.053002777665323755, -0.022787975937709076, 0.1442587702714522, 0.13190724976828594, 0.037616911002460424, 0.08754262290766822, -0.03715603709340506, -0.07908336100181343, -0.36575255500272325, -0.12412193139006786, -0.15506476922165774, 0.07403757565530923, -0.08681628640104029, -0.12361668927782993, 0.3979267710494091, 0.19329807586506556, 0.2289298590904939, 0.023443981442267264, 0.24914027864984964, 0.12917897617017185, 0.04455563597917266, 0.11165332052121879, 0.262506551237418, 0.10310210390529091, 0.09054906534270273, -0.26446150105079175, -0.011256396385986325, 0.14150128249557467] |
710.1927 | Diquarks and \Lambda_{b}\to\Lambda_c weak decays | In this work we investigate the weak $\Lambda_{b}\to\Lambda_c$ semi-leptonic
and non-leptonic decays. The light-front quark model and diquark picture for
heavy baryons are adopted to evaluate the $\Lambda_{b}\to\Lambda_c$ transition
form factors. In the heavy quark limit we study the Isgur-Wise function. By
fitting the data of the semi-leptonic process we obtain the mass of the light
scalar diquark as 817 MeV. The numerical predictions on the branching ratios of
non-leptonic decay modes $\Lambda_{b}\to\Lambda_c M$ and various polarization
asymmetries are made. A comparison with other approaches is discussed.
| hep-ph | in this work we investigate the weak lambda_btolambda_c semileptonic and nonleptonic decays the lightfront quark model and diquark picture for heavy baryons are adopted to evaluate the lambda_btolambda_c transition form factors in the heavy quark limit we study the isgurwise function by fitting the data of the semileptonic process we obtain the mass of the light scalar diquark as 817 mev the numerical predictions on the branching ratios of nonleptonic decay modes lambda_btolambda_c m and various polarization asymmetries are made a comparison with other approaches is discussed | [['in', 'this', 'work', 'we', 'investigate', 'the', 'weak', 'lambda_btolambda_c', 'semileptonic', 'and', 'nonleptonic', 'decays', 'the', 'lightfront', 'quark', 'model', 'and', 'diquark', 'picture', 'for', 'heavy', 'baryons', 'are', 'adopted', 'to', 'evaluate', 'the', 'lambda_btolambda_c', 'transition', 'form', 'factors', 'in', 'the', 'heavy', 'quark', 'limit', 'we', 'study', 'the', 'isgurwise', 'function', 'by', 'fitting', 'the', 'data', 'of', 'the', 'semileptonic', 'process', 'we', 'obtain', 'the', 'mass', 'of', 'the', 'light', 'scalar', 'diquark', 'as', '817', 'mev', 'the', 'numerical', 'predictions', 'on', 'the', 'branching', 'ratios', 'of', 'nonleptonic', 'decay', 'modes', 'lambda_btolambda_c', 'm', 'and', 'various', 'polarization', 'asymmetries', 'are', 'made', 'a', 'comparison', 'with', 'other', 'approaches', 'is', 'discussed']] | [-0.0697453078852656, 0.21287437017750124, -0.05351911508210603, 0.15058826309727555, -0.04993300129098807, -0.11122223418527122, 0.09758782226875981, 0.3226044794822904, -0.15390146150649792, -0.19626553060122948, -0.041499272936248575, -0.34489267736930274, -0.00044155967068569416, 0.0778448140494868, 0.11747184411312143, 0.12703808454860901, 0.07743021445723529, -0.023290819681153214, -0.09861202200810457, -0.1941255022953639, 0.3379846006289296, -0.04657275381701431, 0.2300012514112924, 0.15325862959685638, -0.06104169039714054, -0.008318115284682476, -0.07728501749706679, -0.09045538242007124, -0.16593347260749888, 0.04201959144195606, 0.1409397636227117, 0.1014578561920769, 0.12836654090333258, -0.35185691604026775, -0.09948702743705148, 0.11051380713256183, 0.1842118444178125, 0.12615209445491132, -0.038992010684544755, -0.32739636289148494, 0.0811924476446798, -0.19228904016166068, -0.11382752777366288, -0.138708285248742, 0.01806613753667508, -0.02515286811220663, -0.36163077960540163, 0.09660838389482841, -0.07519602497247443, 0.0022669392691432744, -0.009060726795431184, -0.2723549559562542, -0.0012482818839643364, 0.04098904262907032, 0.1782740488626336, 0.08383304233684194, 0.1689069476781477, -0.16831277654666504, -0.12968218882284502, 0.42433317716436825, -0.10674350513627046, -0.20001661888826852, 0.11296086924300454, -0.20015241193381705, -0.13738856200214433, 0.06806086540628953, 0.24303080683210115, 0.09647705621653418, -0.20515520344541846, 0.09908337174746176, -0.05053691638248234, 0.1267027996919364, 0.07153725866014245, 0.08123594535322025, 0.20226655772020077, 0.2043412029422049, -0.14442435640242252, 0.07450999368059759, -0.06928525852499766, -0.07477939804887464, -0.34858265836005925, -0.12544208905731874, -0.075545158601184, 0.06275644698501404, -0.09936759558264782, -0.10331188910908398, 0.3978589193055128, 0.07314915314380979, 0.27828316808003806, 0.04683523186503899, 0.3306078082325215, 0.12189529366100785, 0.03729415827313031, 0.07458623280901269, 0.3268974666944009, 0.25573469867030607, 0.14309644920687223, -0.3201892835237942, 0.015618656389950508, 0.0634617971540054] |
710.1928 | A Witness of Multipartite Entanglement Strata | We describe an entanglement witness for $N$-qubit mixed states based on the
properties of $N$-point correlation functions. Depending on the degree of
violation, this witness can guarantee that no more than $M$ qubits are
separable from the rest of the state for any $M\leq N$, or that there is some
genuine $M$-party or greater multipartite entanglement present. We illustrate
the use our criterion by investigating the existence of entanglement in thermal
stabilizer states, where we demonstrate that the witness is capable of
witnessing bound-entangled states. Intriguingly, this entanglement can be shown
to persist in the thermodynamic limit at arbitrary temperature.
| quant-ph | we describe an entanglement witness for nqubit mixed states based on the properties of npoint correlation functions depending on the degree of violation this witness can guarantee that no more than m qubits are separable from the rest of the state for any mleq n or that there is some genuine mparty or greater multipartite entanglement present we illustrate the use our criterion by investigating the existence of entanglement in thermal stabilizer states where we demonstrate that the witness is capable of witnessing boundentangled states intriguingly this entanglement can be shown to persist in the thermodynamic limit at arbitrary temperature | [['we', 'describe', 'an', 'entanglement', 'witness', 'for', 'nqubit', 'mixed', 'states', 'based', 'on', 'the', 'properties', 'of', 'npoint', 'correlation', 'functions', 'depending', 'on', 'the', 'degree', 'of', 'violation', 'this', 'witness', 'can', 'guarantee', 'that', 'no', 'more', 'than', 'm', 'qubits', 'are', 'separable', 'from', 'the', 'rest', 'of', 'the', 'state', 'for', 'any', 'mleq', 'n', 'or', 'that', 'there', 'is', 'some', 'genuine', 'mparty', 'or', 'greater', 'multipartite', 'entanglement', 'present', 'we', 'illustrate', 'the', 'use', 'our', 'criterion', 'by', 'investigating', 'the', 'existence', 'of', 'entanglement', 'in', 'thermal', 'stabilizer', 'states', 'where', 'we', 'demonstrate', 'that', 'the', 'witness', 'is', 'capable', 'of', 'witnessing', 'boundentangled', 'states', 'intriguingly', 'this', 'entanglement', 'can', 'be', 'shown', 'to', 'persist', 'in', 'the', 'thermodynamic', 'limit', 'at', 'arbitrary', 'temperature']] | [-0.14959795095724984, 0.218245430841489, -0.10475412992294877, 0.07414320765994489, 0.05676542889792472, -0.17877018954604865, 0.03435880789766088, 0.3335170452110469, -0.188415048699826, -0.24468583991285414, 0.059920368145685646, -0.267993300203234, -0.09231942700920627, 0.19641201387392357, -0.010856331787072121, 0.0592096033366397, 0.05116422639228404, 0.07501132832840085, -0.0977471546200104, -0.25671350908465684, 0.37622157329227773, -0.005057329970877617, 0.2525955295562744, 0.10432818508706987, 0.0753873181295785, -0.006663167290389538, 0.061802274538204076, 0.012163536000880413, -0.11048551549080003, 0.07045976971334313, 0.2592684775404632, 0.1922084303200245, 0.23972055290825664, -0.41317311643157156, -0.17710776909254491, 0.20165912923403084, 0.10151263382751495, 0.1589261744916439, -0.011504059457947732, -0.29036817924119535, 0.06464597293175757, -0.1589912546648702, -0.14077771619427948, -0.13596523588523268, 0.04541376822860912, -0.07982752709882333, -0.2645350319053978, 0.10755699591711164, 0.0739112482429482, 0.05716530739271548, -0.004077050117775798, -0.061634908886626365, -0.04989811653038487, 0.0962587225297466, -0.09093115102499723, -0.015996617991477252, 0.09909589238697664, -0.1013428850332275, -0.15633244777971414, 0.30565614768769594, -0.0370434062446293, -0.20485068744979798, 0.2033196695987135, -0.16048778216354548, -0.13976429859147174, 0.04214271288132295, 0.10796636022627354, 0.12089066706597805, -0.0977505399659276, 0.05915946737397462, -0.07724902283400298, 0.23956763229507488, 0.08182780242757871, 0.1737308095570188, 0.17830823471973417, 0.059665383733808995, 0.139942671287572, 0.2407084839406889, -0.011237953063100577, -0.08479844729416072, -0.34794936133548615, -0.21455075583420694, -0.26968667934415863, 0.12392681832425297, -0.11823051188141108, -0.10859711118362611, 0.40648270174860957, 0.15810441404697484, 0.14245234778150917, 0.05671084454283118, 0.21267624883912503, 0.10906711742398328, 0.0528427963051945, 0.1412316918838769, 0.2673922845409834, 0.12214443654520438, -0.007284729927778244, -0.27886938605224715, 0.10734129150863737, 0.01880386813543737] |
710.1929 | Polynomial splittings of metabelian von Neumann rho-invariants | We show that if the connected sum of two knots with coprime Alexander
polynomials has vanishing von Neumann rho-invariants associated with certain
metabelian representations then so do both knots. As an application, we give a
new example of an infinite family of knots which are linearly independent in
the knot concordance group.
| math.GT | we show that if the connected sum of two knots with coprime alexander polynomials has vanishing von neumann rhoinvariants associated with certain metabelian representations then so do both knots as an application we give a new example of an infinite family of knots which are linearly independent in the knot concordance group | [['we', 'show', 'that', 'if', 'the', 'connected', 'sum', 'of', 'two', 'knots', 'with', 'coprime', 'alexander', 'polynomials', 'has', 'vanishing', 'von', 'neumann', 'rhoinvariants', 'associated', 'with', 'certain', 'metabelian', 'representations', 'then', 'so', 'do', 'both', 'knots', 'as', 'an', 'application', 'we', 'give', 'a', 'new', 'example', 'of', 'an', 'infinite', 'family', 'of', 'knots', 'which', 'are', 'linearly', 'independent', 'in', 'the', 'knot', 'concordance', 'group']] | [-0.24809581954748586, 0.1557588410578319, -0.11406738663880298, 0.013434720986809295, -0.1283348832691375, -0.20094136498832646, -0.07656643779661793, 0.3853841910738713, -0.31885572093037456, -0.20500613225158304, 0.11258498635456468, -0.25080078170419884, -0.1565507919026109, 0.20806279572738837, -0.1296682249253186, -0.01604892332285929, 0.07023298814713669, 0.12770628625562844, -0.07350123289059131, -0.30302687576757026, 0.3877461937506898, -0.05882798984216956, 0.1562953082164033, 0.056941751623526216, 0.10695047292392701, -0.05557440907264558, -0.03718937364800905, 0.02501432751663602, -0.19732847310618895, 0.0708213140292523, 0.2698203888721764, 0.045228464462735034, 0.18448754105842313, -0.362940512845783, -0.11467571077474321, 0.2355772375057523, 0.21258110936301258, -0.037525274605006695, -0.025877835175309043, -0.24881582151955137, 0.07649882287324335, -0.2941834722609761, -0.1420705581191354, -0.08141822285520342, 0.03390863641666678, 0.09458639356307685, -0.17520540557765904, 0.023765478041381217, 0.03881836387042243, 0.11482646173009506, -0.006625984808824097, -0.11492212064779149, -0.01903834004098406, 0.1186109448227888, 0.03265062210938105, 0.010978716566639308, 0.019107234404565625, -0.12900117660263696, -0.2018148351657706, 0.3407889836089453, -0.07639200200971502, -0.2551393655773539, 0.1827036954704314, -0.157501648269737, -0.2281832291583459, 0.1761783327584943, 0.00952850803374671, 0.10546135888076745, -0.006541393912182405, 0.10773737714267693, -0.23822987935720727, 0.09980198095078006, 0.09083669257457726, -0.015534563428865602, 0.1399044972136975, -0.02882205630437686, 0.1019070065410163, 0.21517245028203782, 0.022320820662291505, 0.0230438331177888, -0.38232859965557087, -0.2579728558372993, -0.16967410980634248, 0.11441077943891287, -0.1301494805419889, -0.2290106853649307, 0.3856999280396849, 0.03459277999802278, 0.16706079506995872, 0.17607248401887213, 0.2229501108209101, 0.06316096467959981, 0.061493343682601474, 0.1379059949495758, 0.07744635991268577, 0.2047683779293528, -0.11113846611876327, -0.09371560360663213, -0.019034219135601934, 0.22038462500159556] |
710.193 | General properties of logarithmically divergent one-loop lattice Feynman
integrals | We prove that logarithmically divergent one-loop lattice Feynman integrals
have the general form I(p,a) = f(p)log(aM)+g(p,M) up to terms which vanish for
lattice spacing a -> 0. Here p denotes collectively the external momenta and M
is an arbitrary mass scale. The f(p) is shown to be universal and to coincide
with the analogous quantity in the corresponding continuum integral
(regularized, e.g., by momentum cut-off). This is essential for universality of
the lattice QCD beta-function and anomalous dimensions of renormalized lattice
operators at one loop. The result and argument presented here are simplified
versions of ones given in arXiv:0709.0781. A noteworthy feature of the argument
here is that it does not involve Taylor expansion in external momenta, hence
infra-red divergences associated with that expansion do not arise.
| hep-lat | we prove that logarithmically divergent oneloop lattice feynman integrals have the general form ipa fplogamgpm up to terms which vanish for lattice spacing a 0 here p denotes collectively the external momenta and m is an arbitrary mass scale the fp is shown to be universal and to coincide with the analogous quantity in the corresponding continuum integral regularized eg by momentum cutoff this is essential for universality of the lattice qcd betafunction and anomalous dimensions of renormalized lattice operators at one loop the result and argument presented here are simplified versions of ones given in arxiv07090781 a noteworthy feature of the argument here is that it does not involve taylor expansion in external momenta hence infrared divergences associated with that expansion do not arise | [['we', 'prove', 'that', 'logarithmically', 'divergent', 'oneloop', 'lattice', 'feynman', 'integrals', 'have', 'the', 'general', 'form', 'ipa', 'fplogamgpm', 'up', 'to', 'terms', 'which', 'vanish', 'for', 'lattice', 'spacing', 'a', '0', 'here', 'p', 'denotes', 'collectively', 'the', 'external', 'momenta', 'and', 'm', 'is', 'an', 'arbitrary', 'mass', 'scale', 'the', 'fp', 'is', 'shown', 'to', 'be', 'universal', 'and', 'to', 'coincide', 'with', 'the', 'analogous', 'quantity', 'in', 'the', 'corresponding', 'continuum', 'integral', 'regularized', 'eg', 'by', 'momentum', 'cutoff', 'this', 'is', 'essential', 'for', 'universality', 'of', 'the', 'lattice', 'qcd', 'betafunction', 'and', 'anomalous', 'dimensions', 'of', 'renormalized', 'lattice', 'operators', 'at', 'one', 'loop', 'the', 'result', 'and', 'argument', 'presented', 'here', 'are', 'simplified', 'versions', 'of', 'ones', 'given', 'in', 'arxiv07090781', 'a', 'noteworthy', 'feature', 'of', 'the', 'argument', 'here', 'is', 'that', 'it', 'does', 'not', 'involve', 'taylor', 'expansion', 'in', 'external', 'momenta', 'hence', 'infrared', 'divergences', 'associated', 'with', 'that', 'expansion', 'do', 'not', 'arise']] | [-0.14463295158646183, 0.21313476486605254, -0.11054005607587808, 0.08526856533906657, -0.08952013991311253, -0.11816541783367776, 0.019765441555802416, 0.3596202148260867, -0.23203949731721626, -0.2279239282451146, 0.07737959280507867, -0.2872436496361, -0.13535913150015522, 0.1471529651586557, -0.03197756127598203, 0.04642126223875013, 0.025164333923636536, 0.05941562782745899, -0.06100674166071524, -0.22997171581037554, 0.3479367912391095, 0.020844367947012974, 0.21878445312395933, 0.09931488817073102, 0.08644055767454267, 0.0024887254741800023, -0.03431533495479119, 0.017048767544480602, -0.1193040995526755, 0.08003279149846544, 0.21512245653363748, -0.014411630818802045, 0.205006985715969, -0.35530082872364577, -0.1598797931716346, 0.08793415028102151, 0.18708642875400422, 0.08678655515186398, 0.05302075749997625, -0.1786384577900777, 0.05912415867262497, -0.1581045008317484, -0.21373693682101927, -0.13300701777253876, 0.02660809559520425, -0.025254536651044598, -0.2913363585286448, 0.10651586554959659, 0.06661115699813028, 0.04753085120762812, -0.024648300071087915, -0.12602702330521542, -0.018761875232817922, 0.09683553390659211, 0.07557667194812642, 0.08939304927030836, 0.09607614587416978, -0.13083128796746515, -0.12409538256072598, 0.38880647122254214, -0.047139776807195104, -0.22280562890133238, 0.14195183176183845, -0.19586017063905947, -0.13972029137250974, 0.15420013133860458, 0.09002805264038223, 0.11785008409628417, -0.1331902204641724, 0.17651766200731622, -0.02762961683688852, 0.12453854634479536, 0.10941413196742655, 0.058684352746070555, 0.16177458603624104, 0.02175629125696009, 0.039807261936972295, 0.11187150366736834, -0.0043903877509084, -0.13147437310876037, -0.40475178254026223, -0.11874096059217686, -0.21496562224366073, 0.09499552675614671, -0.1122333814756286, -0.2102287855542102, 0.29331140525873783, 0.14857597927358457, 0.20823385138765008, 0.07878207612301912, 0.2485056747417382, 0.20049138136995517, 0.1566171448571774, 0.07705350505278968, 0.2241495944090127, 0.10255408527261418, 0.0757447562248605, -0.25205087647356883, -0.03785922366944028, 0.16475998462230815] |
710.1931 | Strangeness Enhancement: Challenges and Successes | Highly effective conversion of kinetic energy into abundant particle
multiplicity is the remarkable feature discovered in high energy heavy ion
collisions. This short and pedagogic review addresses topical issues related to
the understanding of this phenomenon, originating in the creation of the
deconfined quark--gluon plasma phase. I consider in depth the apparently
simple, yet sometimes misunderstood, intricate issues: a) statistical
hadro-chemistry, chemical parameters, b) strange flavor chemical equilibration
in quark--gluon plasma, and c) particle yields and sudden hadronization, in the
historic perspective of work and competition with my friend Jozsef Zimanyi.
| nucl-th hep-ph nucl-ex physics.hist-ph | highly effective conversion of kinetic energy into abundant particle multiplicity is the remarkable feature discovered in high energy heavy ion collisions this short and pedagogic review addresses topical issues related to the understanding of this phenomenon originating in the creation of the deconfined quarkgluon plasma phase i consider in depth the apparently simple yet sometimes misunderstood intricate issues a statistical hadrochemistry chemical parameters b strange flavor chemical equilibration in quarkgluon plasma and c particle yields and sudden hadronization in the historic perspective of work and competition with my friend jozsef zimanyi | [['highly', 'effective', 'conversion', 'of', 'kinetic', 'energy', 'into', 'abundant', 'particle', 'multiplicity', 'is', 'the', 'remarkable', 'feature', 'discovered', 'in', 'high', 'energy', 'heavy', 'ion', 'collisions', 'this', 'short', 'and', 'pedagogic', 'review', 'addresses', 'topical', 'issues', 'related', 'to', 'the', 'understanding', 'of', 'this', 'phenomenon', 'originating', 'in', 'the', 'creation', 'of', 'the', 'deconfined', 'quarkgluon', 'plasma', 'phase', 'i', 'consider', 'in', 'depth', 'the', 'apparently', 'simple', 'yet', 'sometimes', 'misunderstood', 'intricate', 'issues', 'a', 'statistical', 'hadrochemistry', 'chemical', 'parameters', 'b', 'strange', 'flavor', 'chemical', 'equilibration', 'in', 'quarkgluon', 'plasma', 'and', 'c', 'particle', 'yields', 'and', 'sudden', 'hadronization', 'in', 'the', 'historic', 'perspective', 'of', 'work', 'and', 'competition', 'with', 'my', 'friend', 'jozsef', 'zimanyi']] | [-0.0873608398432326, 0.26723558952411014, -0.11771478397357794, 0.11909747612533263, -0.05684738258520762, -0.15071637762400011, 0.02877221210963196, 0.3061058177716202, -0.23948183783536983, -0.3008135719431771, -0.03639231807319447, -0.29236197642878525, -0.035296954587101935, 0.07114663214629723, -0.06611164174973964, 0.0065617277183466485, 0.10603217029323181, -0.0014543375414278771, -0.03949205590534904, -0.1843105288733366, 0.2842942409269098, 0.10839972382624789, 0.2795640645859142, 0.1958694026236319, 0.0592416786071327, -0.019165047811758186, -0.09681930379010736, -0.011437176830238767, -0.12496971502130488, 0.04918440222099889, 0.25805065473541616, 0.10875600039855474, 0.22450639328194988, -0.41326396215914024, -0.22197963688522576, 0.06159182878521582, 0.16209747285271683, 0.11874578520655632, -0.11489243089324898, -0.22742131207552221, -0.020584404152921506, -0.20136038159123726, -0.16163617396830685, -0.04937201081257728, 0.05645895205024216, 0.0026812103059556747, -0.1986521047591749, 0.13309671832862982, 0.07207520509966546, 0.09184375090990216, 0.02745447287129031, -0.16144650050749382, -0.0007349539418808288, 0.028637993144285348, 0.11585941200998301, 0.06318211614464721, 0.169078402635124, -0.21099786947403723, -0.08983353742708762, 0.44003567873603766, -0.0006205413387053543, -0.07650296440810457, 0.25616044553203715, -0.15443999834565653, -0.18149700668743915, 0.13721265617964995, 0.17795617578861614, 0.06743836857947624, -0.21601647771894933, 0.03599375802764876, 0.018493556562397213, 0.101303507221625, 0.06577127026911411, 0.08938174060442382, 0.2792650966801577, 0.23605701240400473, -0.06737062805849645, 0.10368797354571548, -0.0031967907885296475, -0.12065589526771671, -0.3002618841102554, -0.1214180875569582, -0.12966252920838695, 0.07166010059623254, -0.05217614698986937, -0.16093768971558248, 0.4290608410206106, 0.1527395000991722, 0.2057492820546031, -0.14029036200501852, 0.27179701750477153, 0.0495110920112994, -0.04238965588996911, 0.08184551230062627, 0.21249564026171963, 0.13795433953507907, 0.24212692621060544, -0.2745995466687923, 0.05765573033293347, 0.10176779772413688] |
710.1932 | A mechanism for Fermi-surface-topology tuned superconductivity in the
cuprates | Based on recent magnetic-quantum-oscillation, ARPES, neutron-scattering and
other data, we propose that superconductivity in the cuprates occurs via a
convenient matching of the spatial distribution of incommensurate spin
fluctuations to the amplitude and phase of the $d_{x^2-y^2}$ Cooper-pair
wavefunction; this establishes a robust causal relationship between the
lengthscale of the fluctuations and the superconducting coherence length. It is
suggested that the spin fluctuations are driven by the Fermi surface, which is
prone to nesting; they couple to the itinerant holes via the on-site Coulomb
correlation energy, which inhibits double occupancy of spins or holes. The
maximum energy of the fluctuations gives an appropriate energy scale for the
superconducting $T_{\rm c}$. Based on this model, one can specify the design of
solids that will exhibit ``high $T_{\rm c}$'' superconductivity.
| cond-mat.supr-con cond-mat.str-el | based on recent magneticquantumoscillation arpes neutronscattering and other data we propose that superconductivity in the cuprates occurs via a convenient matching of the spatial distribution of incommensurate spin fluctuations to the amplitude and phase of the d_x2y2 cooperpair wavefunction this establishes a robust causal relationship between the lengthscale of the fluctuations and the superconducting coherence length it is suggested that the spin fluctuations are driven by the fermi surface which is prone to nesting they couple to the itinerant holes via the onsite coulomb correlation energy which inhibits double occupancy of spins or holes the maximum energy of the fluctuations gives an appropriate energy scale for the superconducting t_rm c based on this model one can specify the design of solids that will exhibit high t_rm c superconductivity | [['based', 'on', 'recent', 'magneticquantumoscillation', 'arpes', 'neutronscattering', 'and', 'other', 'data', 'we', 'propose', 'that', 'superconductivity', 'in', 'the', 'cuprates', 'occurs', 'via', 'a', 'convenient', 'matching', 'of', 'the', 'spatial', 'distribution', 'of', 'incommensurate', 'spin', 'fluctuations', 'to', 'the', 'amplitude', 'and', 'phase', 'of', 'the', 'd_x2y2', 'cooperpair', 'wavefunction', 'this', 'establishes', 'a', 'robust', 'causal', 'relationship', 'between', 'the', 'lengthscale', 'of', 'the', 'fluctuations', 'and', 'the', 'superconducting', 'coherence', 'length', 'it', 'is', 'suggested', 'that', 'the', 'spin', 'fluctuations', 'are', 'driven', 'by', 'the', 'fermi', 'surface', 'which', 'is', 'prone', 'to', 'nesting', 'they', 'couple', 'to', 'the', 'itinerant', 'holes', 'via', 'the', 'onsite', 'coulomb', 'correlation', 'energy', 'which', 'inhibits', 'double', 'occupancy', 'of', 'spins', 'or', 'holes', 'the', 'maximum', 'energy', 'of', 'the', 'fluctuations', 'gives', 'an', 'appropriate', 'energy', 'scale', 'for', 'the', 'superconducting', 't_rm', 'c', 'based', 'on', 'this', 'model', 'one', 'can', 'specify', 'the', 'design', 'of', 'solids', 'that', 'will', 'exhibit', 'high', 't_rm', 'c', 'superconductivity']] | [-0.21877729710866148, 0.2496976394557594, -0.07137656289952125, 0.11490073051637288, -0.04648031958371518, -0.1341196350738641, 0.08164667955592392, 0.34214755865620583, -0.25329091980701357, -0.2618536315711699, -0.0072350045748597646, -0.32771286713032743, -0.09024612132027217, 0.14712446481062788, 0.02947679186958497, 0.01023483735657715, -0.048919017195672265, -0.005179887842826956, -0.1392210009865331, -0.21074047933083292, 0.3479592704110344, 0.08219456506937038, 0.3444851162572076, 0.10092870966626669, 0.05797942085869933, 0.03190486464194778, 0.10150508321895022, -0.0007472769320597799, -0.14732462861367793, 0.09169448786745156, 0.24951050443736117, -0.010387999659191495, 0.21167072185909186, -0.45127996268469517, -0.22507716175356668, 0.03907250090846865, 0.1226345898105037, 0.13624221984275037, -0.024858023498324663, -0.25669272287976086, 0.01040991872373059, -0.14747263081958445, -0.10009167168480088, -0.09874345136139043, 0.003938209764131411, 0.0013848981292053002, -0.2585809949462808, 0.15505353754430307, 0.0852535804733634, 0.024937286012344004, -0.042421711621600695, -0.0594099574231022, -0.08409929452243987, 0.03067695111307631, 0.06178500106114542, 0.08981566912839263, 0.134445313884928, -0.0821284271857342, -0.09116901643161743, 0.32040629376048646, -0.03144093855892814, -0.10795170911331112, 0.1666216939031403, -0.15909831796765445, -0.061933754763646626, 0.15790947388347026, 0.08956350334076665, 0.05495265344025817, -0.11512751829641776, 0.060237057117000954, 0.013114160784762206, 0.21887722564494516, 0.008208178858250731, 0.10278230987298559, 0.30222376221864244, 0.20545726622579488, 0.05490308557820367, 0.09919373363698283, -0.17188764082297214, -0.06160406151595782, -0.25772416075383586, -0.13791579223883257, -0.2391561573539956, 0.02927904656912222, -0.08647468729335613, -0.20056279328483062, 0.40244491123635595, 0.1914011390373756, 0.21413018583965407, -0.041356061970243066, 0.23134576460635556, 0.11965740428812156, 0.07916612816263195, 0.0663426178837503, 0.2432125657980191, 0.14089883504871747, 0.09189144471398093, -0.3365242098674442, 0.07298489091056216, 0.029309286887887646] |
710.1933 | Intermediate energy spectrum of five colour QCD at one loop | I consider the monopole condensate of five colour QCD. The naive lowest
energy state is unobtainable at one-loop for five or more colours due to simple
geometry. The consequent adjustment of the vacuum condensate generates a
hierarchy of confinement scales in a natural Higgs-free manner. QCD and
QED-like forces emerge naturally, acting upon matter fields that may be
interpreted as down quarks, up quarks and electrons.
| hep-th | i consider the monopole condensate of five colour qcd the naive lowest energy state is unobtainable at oneloop for five or more colours due to simple geometry the consequent adjustment of the vacuum condensate generates a hierarchy of confinement scales in a natural higgsfree manner qcd and qedlike forces emerge naturally acting upon matter fields that may be interpreted as down quarks up quarks and electrons | [['i', 'consider', 'the', 'monopole', 'condensate', 'of', 'five', 'colour', 'qcd', 'the', 'naive', 'lowest', 'energy', 'state', 'is', 'unobtainable', 'at', 'oneloop', 'for', 'five', 'or', 'more', 'colours', 'due', 'to', 'simple', 'geometry', 'the', 'consequent', 'adjustment', 'of', 'the', 'vacuum', 'condensate', 'generates', 'a', 'hierarchy', 'of', 'confinement', 'scales', 'in', 'a', 'natural', 'higgsfree', 'manner', 'qcd', 'and', 'qedlike', 'forces', 'emerge', 'naturally', 'acting', 'upon', 'matter', 'fields', 'that', 'may', 'be', 'interpreted', 'as', 'down', 'quarks', 'up', 'quarks', 'and', 'electrons']] | [-0.093372526795561, 0.3108619811069785, -0.11133440724348254, 0.14786914031367016, -0.07399562915617769, -0.10506208725696937, 0.0431209709495306, 0.34398769495909975, -0.19083165738618735, -0.28927538069811737, -7.723311710199624e-06, -0.26599483609651076, -0.020815808033203764, 0.07477453819151517, 0.014402942791948039, -0.021567122927852764, -0.006260914415840737, 0.02034875236903176, -0.05112638990183107, -0.22479923819826747, 0.33501919198103924, -0.028711161470379342, 0.24162909745549163, 0.10850276451586097, 0.10498382424879255, -0.02142174356744032, -0.005577959073090107, 0.005661313732465108, -0.03168061287479676, 0.00875403447549395, 0.16727451667556484, 0.02326368154238232, 0.17855961238400955, -0.44752928719742957, -0.18097450541840357, 0.08284139980660808, 0.16386240205699296, 0.162858921900448, -0.021502891736445512, -0.24027244769262546, 0.025764634800990196, -0.20243708419641762, -0.17587846980401964, -0.1279717995714622, -0.018944179783857457, -0.08830333715586951, -0.29525588674357894, 0.09713620386283958, 0.01616091926575102, 0.014100214410008806, -0.02009496467089224, -0.15288281023050798, -0.08239249726334079, 0.060601706309667366, 0.0775511607432484, 0.10546182905972908, 0.18483399529235833, -0.24186596347752845, -0.14326194958817778, 0.4729467042806474, -0.08211515225279568, -0.1328661128963259, 0.17075076275222906, -0.11834983516371611, -0.06964194562963465, 0.14166374402967366, 0.15685406457068343, 0.09356437120445524, -0.14071178145593766, 0.10777374857747363, -0.007356553416078289, 0.15030412916376285, 0.13654033952590192, 0.07430071778115675, 0.30950651396856166, 0.1449254606709336, 0.04553419341700095, 0.08813793826530772, -0.006416732473581126, -0.11750225330858181, -0.35902661960007565, -0.0810665087492177, -0.1369239051374748, 0.06942729106892577, -0.11643304915659511, -0.1733129697174511, 0.3867654017204503, 0.09228589292086492, 0.21196159764870323, 0.003997357597461704, 0.27220510840980394, 0.1250267761008052, 0.12876769002160113, 0.04268449080480037, 0.2705731654370373, 0.13847048196828726, 0.09772903353653171, -0.26758388187171833, -0.09982545896800178, 0.10593155779960481] |
710.1934 | Quantum states with strong positive partial transpose | We construct a large class of bipartite M x N quantum states which defines a
proper subset of states with positive partial transposes (PPT). Any state from
this class is PPT but the positivity of its partial transposition is recognized
with respect to canonical factorization of the original density operator. We
propose to call elements from this class states with strong positive partial
transposes (SPPT). We conjecture that all SPPT states are separable.
| quant-ph | we construct a large class of bipartite m x n quantum states which defines a proper subset of states with positive partial transposes ppt any state from this class is ppt but the positivity of its partial transposition is recognized with respect to canonical factorization of the original density operator we propose to call elements from this class states with strong positive partial transposes sppt we conjecture that all sppt states are separable | [['we', 'construct', 'a', 'large', 'class', 'of', 'bipartite', 'm', 'x', 'n', 'quantum', 'states', 'which', 'defines', 'a', 'proper', 'subset', 'of', 'states', 'with', 'positive', 'partial', 'transposes', 'ppt', 'any', 'state', 'from', 'this', 'class', 'is', 'ppt', 'but', 'the', 'positivity', 'of', 'its', 'partial', 'transposition', 'is', 'recognized', 'with', 'respect', 'to', 'canonical', 'factorization', 'of', 'the', 'original', 'density', 'operator', 'we', 'propose', 'to', 'call', 'elements', 'from', 'this', 'class', 'states', 'with', 'strong', 'positive', 'partial', 'transposes', 'sppt', 'we', 'conjecture', 'that', 'all', 'sppt', 'states', 'are', 'separable']] | [-0.17136576406542875, 0.17100625903639075, -0.03416424170646765, 0.008575299218909382, -0.04772532162932704, -0.1789786926700338, 0.03738274511702563, 0.3313542832046339, -0.2886794775035487, -0.19396772872009124, 0.08346197910109306, -0.31059120271087, -0.10839431169315254, 0.04490281217603957, -0.06215103331647099, 0.10003640156873973, 0.08665258432291958, 0.06858781674136855, -0.15332782347303853, -0.2522118048047111, 0.4256136013730748, -0.09609022309321094, 0.19621836229814343, 0.05902350170869533, 0.14253625317081198, -0.01825373225577482, 0.026913712547505148, 0.045811991424184954, -0.09354789122950671, 0.10946620536062306, 0.3053115603580994, 0.2209608178483705, 0.25512960544557706, -0.326928354187371, -0.13993142698636304, 0.18486423070912492, -0.0012869375298590693, 0.1358287286775646, -0.022993858852615096, -0.33978870039014786, 0.14541359369827223, -0.17307133741089947, -0.13588242315725513, -0.11244917584404554, 0.07630329267823532, -0.06624581391782794, -0.3076827352075544, 0.06081547970845275, 0.09107152718655152, -0.00498858368190082, -0.00932688292670893, -0.17001237259692933, -0.07246947662317998, 0.06567492147856584, -0.08101186552403929, 0.019724818983128015, 0.035914910115199546, -0.0393395179767825, -0.13868084825154342, 0.3086683592465642, -0.06234695288641315, -0.24390085738101233, 0.15850969247539107, -0.17292791761917203, -0.17561251544457387, 0.1397274840648656, 0.0956983398008224, 0.17188759805787712, -0.050282218761435925, 0.11048763074389059, -0.19054378379831627, 0.19186768734393872, 0.07392305693882581, 0.1414611860280474, 0.1322239954790024, -0.005853531044136018, 0.1850098907973056, 0.1981375421308083, 0.016595333757210676, -0.07390798126946982, -0.3566323014563077, -0.21314481065340646, -0.17943045368245866, 0.18618385961968198, -0.007703240230051188, -0.22168565123048548, 0.39259886281717926, 0.035237727680383885, 0.1982255033919052, 0.09195372711210065, 0.1484185579449755, 0.12436743366391692, 0.038247206933279716, 0.10868412632597228, 0.11119347407916332, 0.23731745937392626, -0.009775993529043785, -0.18983244275265973, 0.09324444707942335, 0.09814276273540948] |
710.1935 | Classification of local realistic theories | Recently, it has shown that an explicit local realistic model for the values
of a correlation function, given in a two-setting Bell experiment (two-setting
model), works only for the specific set of settings in the given experiment,
but cannot construct a local realistic model for the values of a correlation
function, given in a {\it continuous-infinite} settings Bell experiment
(infinite-setting model), even though there exist two-setting models for all
directions in space. Hence, two-setting model does not have the property which
infinite-setting model has. Here, we show that an explicit two-setting model
cannot construct a local realistic model for the values of a correlation
function, given in a {\it only discrete-three} settings Bell experiment
(three-setting model), even though there exist two-setting models for the three
measurement directions chosen in the given three-setting experiment. Hence,
two-setting model does not have the property which three-setting model has.
| quant-ph | recently it has shown that an explicit local realistic model for the values of a correlation function given in a twosetting bell experiment twosetting model works only for the specific set of settings in the given experiment but cannot construct a local realistic model for the values of a correlation function given in a it continuousinfinite settings bell experiment infinitesetting model even though there exist twosetting models for all directions in space hence twosetting model does not have the property which infinitesetting model has here we show that an explicit twosetting model cannot construct a local realistic model for the values of a correlation function given in a it only discretethree settings bell experiment threesetting model even though there exist twosetting models for the three measurement directions chosen in the given threesetting experiment hence twosetting model does not have the property which threesetting model has | [['recently', 'it', 'has', 'shown', 'that', 'an', 'explicit', 'local', 'realistic', 'model', 'for', 'the', 'values', 'of', 'a', 'correlation', 'function', 'given', 'in', 'a', 'twosetting', 'bell', 'experiment', 'twosetting', 'model', 'works', 'only', 'for', 'the', 'specific', 'set', 'of', 'settings', 'in', 'the', 'given', 'experiment', 'but', 'can', 'not', 'construct', 'a', 'local', 'realistic', 'model', 'for', 'the', 'values', 'of', 'a', 'correlation', 'function', 'given', 'in', 'a', 'it', 'continuousinfinite', 'settings', 'bell', 'experiment', 'infinitesetting', 'model', 'even', 'though', 'there', 'exist', 'twosetting', 'models', 'for', 'all', 'directions', 'in', 'space', 'hence', 'twosetting', 'model', 'does', 'not', 'have', 'the', 'property', 'which', 'infinitesetting', 'model', 'has', 'here', 'we', 'show', 'that', 'an', 'explicit', 'twosetting', 'model', 'can', 'not', 'construct', 'a', 'local', 'realistic', 'model', 'for', 'the', 'values', 'of', 'a', 'correlation', 'function', 'given', 'in', 'a', 'it', 'only', 'discretethree', 'settings', 'bell', 'experiment', 'threesetting', 'model', 'even', 'though', 'there', 'exist', 'twosetting', 'models', 'for', 'the', 'three', 'measurement', 'directions', 'chosen', 'in', 'the', 'given', 'threesetting', 'experiment', 'hence', 'twosetting', 'model', 'does', 'not', 'have', 'the', 'property', 'which', 'threesetting', 'model', 'has']] | [-0.09190662578155345, 0.08921712929553066, -0.10052187363063539, 0.10877280430282121, -0.01576244811221332, -0.2515619357696155, 0.02271827829389514, 0.3776550338818477, -0.2027076263074015, -0.31617430209384095, 0.05872936192020722, -0.24378572123034017, -0.14072672187813096, 0.22024462122789265, -0.02379365078779263, 0.059635962321650124, 0.0762401237250208, 0.06430890407230887, -0.07597498055807986, -0.2583466239820619, 0.2753091021603742, 0.04524300719604834, 0.2941646476575805, 0.028547235194697873, 0.13382581188962175, -0.007472577127074445, 0.039120549870120896, 0.05881821122195513, -0.1036438333377172, 0.025191785383422476, 0.22604779502071834, 0.1772778955991608, 0.2631952836197781, -0.3904498328643662, -0.25194997664775465, 0.23303665038054952, 0.09529547219106055, 0.1536132865797051, -0.07139541601951045, -0.24043857831169257, 0.03226946541466392, -0.19815576277100122, -0.10263751799865932, -0.11045087391341274, 0.04412611786250051, -0.053289665524698014, -0.3500087078322064, 0.07547880289424862, 0.08009952969093631, 0.036949645539003234, -0.05456576614080557, -0.0687834697130781, 0.015259482430528614, 0.0879113677648137, -0.02475140395759885, 0.047232147185718054, 0.0317284208201393, -0.13568105588999244, -0.13831602298154763, 0.34597719604006183, -0.027934157074644014, -0.29116875790808533, 0.16666434470147312, -0.17895824157053253, -0.15849386283255124, 0.02673439497544945, 0.09607597635863545, 0.0890149890568915, -0.13898858334217873, 0.09681442642415111, -0.1810526252965202, 0.20896625718088835, 0.021616156900080143, 0.01686502251305155, 0.16388450019465356, 0.09131631907726918, 0.07858906124256082, 0.08238623842883569, -0.016961632146649846, -0.09860263702661529, -0.3717253027887611, -0.12186800379801047, -0.22027605514846404, 0.014749655800047688, -0.05809963120056407, -0.1491710037337795, 0.38524770849690465, 0.15988801553744866, 0.20262170208526867, 0.04208534693026303, 0.24696787978177304, 0.10232950130184881, 0.10535731763168649, 0.04734568867402581, 0.2911063782883795, 0.04389218429683128, 0.05749511002348019, -0.11763145116734208, 0.16276885334636781, 0.010870602307515544] |
710.1936 | Regular integers modulo n | Let $n=p_1^{\nu_1}... p_r^{\nu_r} >1$ be an integer. An integer $a$ is called
regular (mod $n$) if there is an integer $x$ such that $a^2x\equiv a$ (mod
$n$). Let $\varrho(n)$ denote the number of regular integers $a$ (mod $n$) such
that $1\le a\le n$. Here $\varrho(n)=(\phi(p_1^{\nu_1})+1)...
(\phi(p_r^{\nu_r})+1)$, where $\phi(n)$ is the Euler function. In this paper we
first summarize some basic properties of regular integers (mod $n$). Then in
order to compare the rates of growth of the functions $\varrho(n)$ and
$\phi(n)$ we investigate the average orders and the extremal orders of the
functions $\varrho(n)/\phi(n)$, $\phi(n)/\varrho(n)$ and $1/\varrho(n)$.
| math.NT | let np_1nu_1 p_rnu_r 1 be an integer an integer a is called regular mod n if there is an integer x such that a2xequiv a mod n let varrhon denote the number of regular integers a mod n such that 1le ale n here varrhonphip_1nu_11 phip_rnu_r1 where phin is the euler function in this paper we first summarize some basic properties of regular integers mod n then in order to compare the rates of growth of the functions varrhon and phin we investigate the average orders and the extremal orders of the functions varrhonphin phinvarrhon and 1varrhon | [['let', 'np_1nu_1', 'p_rnu_r', '1', 'be', 'an', 'integer', 'an', 'integer', 'a', 'is', 'called', 'regular', 'mod', 'n', 'if', 'there', 'is', 'an', 'integer', 'x', 'such', 'that', 'a2xequiv', 'a', 'mod', 'n', 'let', 'varrhon', 'denote', 'the', 'number', 'of', 'regular', 'integers', 'a', 'mod', 'n', 'such', 'that', '1le', 'ale', 'n', 'here', 'varrhonphip_1nu_11', 'phip_rnu_r1', 'where', 'phin', 'is', 'the', 'euler', 'function', 'in', 'this', 'paper', 'we', 'first', 'summarize', 'some', 'basic', 'properties', 'of', 'regular', 'integers', 'mod', 'n', 'then', 'in', 'order', 'to', 'compare', 'the', 'rates', 'of', 'growth', 'of', 'the', 'functions', 'varrhon', 'and', 'phin', 'we', 'investigate', 'the', 'average', 'orders', 'and', 'the', 'extremal', 'orders', 'of', 'the', 'functions', 'varrhonphin', 'phinvarrhon', 'and', '1varrhon']] | [-0.23762268248652474, 0.1639388481021291, -0.050938363145157865, -0.007105029112230358, -0.00019301405553235097, -0.14876452382926023, -0.03805834890913553, 0.2778940765616181, -0.3143783649534322, -0.22164716101722437, 0.0483639015988813, -0.3432312765854589, -0.18052193724675877, 0.1291189328296466, -0.05765366686633631, 0.00862944708467367, -0.049812183014295075, 0.1315323646714011, -0.06362957100833902, -0.3302560814896996, 0.32823830286271116, -0.06713467195964931, 0.11249809873844968, 0.02513142177060749, 0.08505512430761637, 0.01731291103367746, 0.05320747528392612, 0.010300457474953506, -0.21219728147860203, 0.07312324518609918, 0.29505514780980313, 0.11527102618488703, 0.28928750119266217, -0.4208105065430818, -0.09233649243506488, 0.26012664726736506, 0.20283714724244195, -0.06296854965248815, 0.01813063072563892, -0.15604091233448283, 0.22392969799824478, -0.15069181624841824, -0.12003727511534196, -0.05130884834052472, 0.20659065288962442, 0.07889786416866157, -0.3820187327546183, -0.04661826616718193, 0.09171816735957446, 0.07734303156782486, -0.022209392724495926, -0.20670156371308845, 0.0005594894834113924, 0.08158855340600515, -0.011453319537149889, 0.09584913360415383, -0.009295877377931656, -0.10040186080830486, -0.12953297198446614, 0.3241853134162473, -0.034858862143480794, -0.22863141769606077, 0.07505784537957123, -0.18414466271930363, -0.1481208751145541, 0.08366888426139615, 0.13153441070338315, 0.23351045231219758, 0.02084223148569967, 0.2031235471819109, -0.11033180325940838, 0.22907972593237175, 0.08713460758621439, 0.002411059606192487, 0.12858171360253284, 0.08523407094494513, 0.05362302637292763, 0.14063207432235267, -0.03912302527283685, 0.04554033140766989, -0.3493676237720117, -0.21317417907078615, -0.22017070902720765, 0.1935473892215137, -0.15437092638808025, -0.13293465615114133, 0.3555798008410114, 0.11367479933614141, 0.2063440331833416, 0.1584613053546695, 0.22467547240719365, 0.11920219581323059, -0.03202125061763806, 0.10108463051781226, 0.03180679375092562, 0.10496551014242296, -0.056338612932000265, -0.16713762913799185, -0.017919758653917005, 0.16028823534005812] |
710.1937 | Hirzebruch-Riemann-Roch theorem for DG algebras | For an arbitrary proper DG algebra A (i.e. DG algebra with finite dimensional
total cohomology) we introduce a pairing on the Hochschild homology of A and
present an explicit formula for a Chern-type character of an arbitrary perfect
A-module (the Chern characters take values in the Hochschild homology of A).
The Hirzebruch-Riemann-Roch formula in this context expresses the Euler
characteristic of the Hom-complex between two perfect A-modules in terms of the
pairing of their Chern characters. We mention two examples of proper DG
algebras and the HRR formulas for them. The first example is Ringel's formula
for quivers with relations. The second example is related to orbifold
singularities of the form V/G where V is a complex vector space and G is a
finite subgroup of SL(V). Furthermore, we prove that the above pairing on the
Hochschild homology is non-degenerate when the DG algebra is smooth. We also
formulate the conjecture that for a Calabi-Yau DG algebra A the pairing
coincides with the one coming from the Topological Field Theory associated with
A and verify it in the case of Frobenius algebras.
| math.KT math.AG | for an arbitrary proper dg algebra a ie dg algebra with finite dimensional total cohomology we introduce a pairing on the hochschild homology of a and present an explicit formula for a cherntype character of an arbitrary perfect amodule the chern characters take values in the hochschild homology of a the hirzebruchriemannroch formula in this context expresses the euler characteristic of the homcomplex between two perfect amodules in terms of the pairing of their chern characters we mention two examples of proper dg algebras and the hrr formulas for them the first example is ringels formula for quivers with relations the second example is related to orbifold singularities of the form vg where v is a complex vector space and g is a finite subgroup of slv furthermore we prove that the above pairing on the hochschild homology is nondegenerate when the dg algebra is smooth we also formulate the conjecture that for a calabiyau dg algebra a the pairing coincides with the one coming from the topological field theory associated with a and verify it in the case of frobenius algebras | [['for', 'an', 'arbitrary', 'proper', 'dg', 'algebra', 'a', 'ie', 'dg', 'algebra', 'with', 'finite', 'dimensional', 'total', 'cohomology', 'we', 'introduce', 'a', 'pairing', 'on', 'the', 'hochschild', 'homology', 'of', 'a', 'and', 'present', 'an', 'explicit', 'formula', 'for', 'a', 'cherntype', 'character', 'of', 'an', 'arbitrary', 'perfect', 'amodule', 'the', 'chern', 'characters', 'take', 'values', 'in', 'the', 'hochschild', 'homology', 'of', 'a', 'the', 'hirzebruchriemannroch', 'formula', 'in', 'this', 'context', 'expresses', 'the', 'euler', 'characteristic', 'of', 'the', 'homcomplex', 'between', 'two', 'perfect', 'amodules', 'in', 'terms', 'of', 'the', 'pairing', 'of', 'their', 'chern', 'characters', 'we', 'mention', 'two', 'examples', 'of', 'proper', 'dg', 'algebras', 'and', 'the', 'hrr', 'formulas', 'for', 'them', 'the', 'first', 'example', 'is', 'ringels', 'formula', 'for', 'quivers', 'with', 'relations', 'the', 'second', 'example', 'is', 'related', 'to', 'orbifold', 'singularities', 'of', 'the', 'form', 'vg', 'where', 'v', 'is', 'a', 'complex', 'vector', 'space', 'and', 'g', 'is', 'a', 'finite', 'subgroup', 'of', 'slv', 'furthermore', 'we', 'prove', 'that', 'the', 'above', 'pairing', 'on', 'the', 'hochschild', 'homology', 'is', 'nondegenerate', 'when', 'the', 'dg', 'algebra', 'is', 'smooth', 'we', 'also', 'formulate', 'the', 'conjecture', 'that', 'for', 'a', 'calabiyau', 'dg', 'algebra', 'a', 'the', 'pairing', 'coincides', 'with', 'the', 'one', 'coming', 'from', 'the', 'topological', 'field', 'theory', 'associated', 'with', 'a', 'and', 'verify', 'it', 'in', 'the', 'case', 'of', 'frobenius', 'algebras']] | [-0.2321635436670916, 0.048933506141281044, -0.09770691277495083, 0.08862745215167077, -0.10783484953476095, -0.1489221773463414, -0.029099980445327953, 0.32192557831653035, -0.3491922140448958, -0.19802537115782007, 0.07690628633097552, -0.2201051456370176, -0.15403828966165228, 0.17859261061939932, -0.13961974446619235, -0.0738773425038524, 0.05107068398117937, 0.13287915836426092, -0.12074024618633993, -0.244016632543887, 0.44990297525885753, -0.05214734898098478, 0.21833208548467975, 0.07535289988372025, 0.13815623067401267, -0.004381811021120994, 0.0072160628624260426, -0.008508393605102806, -0.1443145747049769, 0.1366308632838939, 0.3147680589182118, -0.01297087351673866, 0.18696694472896774, -0.36137987230136825, -0.09752318218566611, 0.161543240816752, 0.08670274190640506, 0.06932269236978635, -0.013797642349695357, -0.24660532036156568, 0.1451777804944828, -0.27920918651743903, -0.11403192153870854, -0.054772856298598696, 0.10600865443792337, -0.001119900187784499, -0.2607802675248912, 9.104466065124782e-05, 0.08137426607228898, 0.1403722669711787, -0.10987581002428759, -0.07708988968375047, -0.08729548557600068, 0.0961710297073056, -0.03006509126286831, 0.02666454883944755, 0.02786264328188826, -0.144336401970277, -0.16123919394941857, 0.38844468551022665, -0.05229919274583213, -0.23228721859529716, 0.09571750595868862, -0.14383884544796463, -0.15619064893210205, 0.10758236828797425, 0.00505818239321093, 0.1828524607622607, 0.022735269623408785, 0.19565716512363077, -0.11089900386734651, 0.053938903858639545, 0.04310628487907637, -0.010408338799926831, 0.14712793722359852, 0.0880996372811701, 0.07169321590937305, 0.16120331496598997, -0.034538349281749585, -0.04135059740568337, -0.386848699976946, -0.266644787848006, -0.15479205351241015, 0.12162984732620336, -0.13584914196834, -0.18671147804195573, 0.4251367689563207, 0.09220024403843487, 0.1900148948470315, 0.1295553295525139, 0.25515614535946113, 0.12439151118499236, 0.08201213493805051, 0.029766149632121017, 0.09307665922576663, 0.2572296384445668, -0.001730880101344415, -0.17087080311634614, -0.019521636621013364, 0.24126473103220072] |
710.1938 | Stripe Formation in Fermionic Atoms on 2-D Optical Lattice inside a Box
Trap: DMRG Studies for Repulsive Hubbard Model with Open Boundary Condition | We suggest that box shape trap enables to observe intrinsic properties of the
repulsive Hubbard model in a fixed doping in contrast to the harmonic trap
bringing about spatial variations of atom density profiles. In order to predict
atomic density profile under the box trap, we apply the directly-extended
density-matrix renormalization group method to 4-leg repulsive Hubbard model
with the open boundary condition. Consequently, we find that stripe formation
is universal in a low hole doping range and the stripe sensitively changes its
structure with variations of $U/t$ and the doping rate. A remarkable change is
that a stripe formed by a hole pair turns to one by a bi-hole pair when
entering a limited strong $U/t$ range. Furthermore, a systematic calculation
reveals that the Hubbard model shows a change from the stripe to the Friedel
like oscillation with increasing the doping rate.
| cond-mat.str-el | we suggest that box shape trap enables to observe intrinsic properties of the repulsive hubbard model in a fixed doping in contrast to the harmonic trap bringing about spatial variations of atom density profiles in order to predict atomic density profile under the box trap we apply the directlyextended densitymatrix renormalization group method to 4leg repulsive hubbard model with the open boundary condition consequently we find that stripe formation is universal in a low hole doping range and the stripe sensitively changes its structure with variations of ut and the doping rate a remarkable change is that a stripe formed by a hole pair turns to one by a bihole pair when entering a limited strong ut range furthermore a systematic calculation reveals that the hubbard model shows a change from the stripe to the friedel like oscillation with increasing the doping rate | [['we', 'suggest', 'that', 'box', 'shape', 'trap', 'enables', 'to', 'observe', 'intrinsic', 'properties', 'of', 'the', 'repulsive', 'hubbard', 'model', 'in', 'a', 'fixed', 'doping', 'in', 'contrast', 'to', 'the', 'harmonic', 'trap', 'bringing', 'about', 'spatial', 'variations', 'of', 'atom', 'density', 'profiles', 'in', 'order', 'to', 'predict', 'atomic', 'density', 'profile', 'under', 'the', 'box', 'trap', 'we', 'apply', 'the', 'directlyextended', 'densitymatrix', 'renormalization', 'group', 'method', 'to', '4leg', 'repulsive', 'hubbard', 'model', 'with', 'the', 'open', 'boundary', 'condition', 'consequently', 'we', 'find', 'that', 'stripe', 'formation', 'is', 'universal', 'in', 'a', 'low', 'hole', 'doping', 'range', 'and', 'the', 'stripe', 'sensitively', 'changes', 'its', 'structure', 'with', 'variations', 'of', 'ut', 'and', 'the', 'doping', 'rate', 'a', 'remarkable', 'change', 'is', 'that', 'a', 'stripe', 'formed', 'by', 'a', 'hole', 'pair', 'turns', 'to', 'one', 'by', 'a', 'bihole', 'pair', 'when', 'entering', 'a', 'limited', 'strong', 'ut', 'range', 'furthermore', 'a', 'systematic', 'calculation', 'reveals', 'that', 'the', 'hubbard', 'model', 'shows', 'a', 'change', 'from', 'the', 'stripe', 'to', 'the', 'friedel', 'like', 'oscillation', 'with', 'increasing', 'the', 'doping', 'rate']] | [-0.13809517394513526, 0.13248460711448962, -0.0694605161217933, 0.059546591342486285, -0.03536695025114884, -0.1550906846920649, 0.11793347480145434, 0.3865634784472327, -0.25417768835017446, -0.2770477935229263, 0.02334884556129258, -0.31632682962792247, -0.09619314905837284, 0.13943410262709865, 0.014195827641755554, -0.016551231164551268, -0.0020762035253305807, -0.011334663828346112, -0.1511579701596052, -0.22879696836206295, 0.29565706289148763, 0.029442554240689634, 0.27836775561259625, 0.09891497480958793, 0.04585652325064165, 0.03553724133720001, 0.08769940131786444, 0.04599930399183369, -0.17797182608789647, 0.051525760520918784, 0.19191472869736295, -0.04560307408798592, 0.25053064360164423, -0.3893198459442203, -0.23577559363519682, 0.014270544593950654, 0.15304561402543004, 0.17500547900241106, -0.06765476204719104, -0.2781432372260284, 0.02796546890728955, -0.20131677822441074, -0.1647402916717878, -0.0600312448945557, 0.04864366778588675, 0.05381454042561933, -0.2895113032708334, 0.1289709757068954, 0.0341475303449952, 0.04536578020556493, -0.09511873308413972, -0.04094207210958348, -0.08196867151839778, 0.07098652455061576, 0.043521262901002895, 0.09193895209798629, 0.18534032292730102, -0.11149775464143868, -0.023931489874285165, 0.3627879812732233, -0.09853953851555336, -0.11288358593452061, 0.16505237757921853, -0.2374504401236244, -0.07257463359967509, 0.16346803099471838, 0.10564239429027596, 0.03461714140932135, -0.10387616489234905, 0.089798846682707, -0.03181976983769539, 0.27185769836461265, 0.06129503046023719, 0.02171112369277006, 0.25667179658586253, 0.17877108996555685, 0.11780497273892587, 0.1471282268960214, -0.14977624792529678, -0.09187622700573493, -0.24021856869234048, -0.07171887422231495, -0.17853781032204258, 0.0254654388227467, -0.07322237195413236, -0.21484417013876828, 0.3988918660254819, 0.15748641792196014, 0.23424170408001604, -0.03715809017868964, 0.1950019183865887, 0.1318125047304846, 0.07626390648371678, 0.034065689757822995, 0.21184413665443236, 0.129339571550145, 0.10044034947195347, -0.31550941736179783, 0.014585392713110814, 0.058563281303099915] |
710.1939 | MARCOS, a numerical tool for the simulation of multiple time-dependent
non-linear diffusive shock acceleration | We present a new code aimed at the simulation of diffusive shock acceleration
(DSA), and discuss various test cases which demonstrate its ability to study
DSA in its full time-dependent and non-linear developments. We present the
numerical methods implemented, coupling the hydrodynamical evolution of a
parallel shock (in one space dimension) and the kinetic transport of the
cosmic-rays (CR) distribution function (in one momentum dimension), as first
done by Falle. Following Kang and Jones and collaborators, we show how the
adaptive mesh refinement technique (AMR) greatly helps accommodating the
extremely demanding numerical resolution requirements of realistic (Bohm-like)
CR diffusion coefficients. We also present the paral lelization of the code,
which allows us to run many successive shocks at the cost of a single shock,
and thus to present the first direct numerical simulations of linear and
non-linear multiple DSA, a mechanism of interest in various astrophysical
environments such as superbubbles, galaxy clusters and early cosmological
flows.
| astro-ph | we present a new code aimed at the simulation of diffusive shock acceleration dsa and discuss various test cases which demonstrate its ability to study dsa in its full timedependent and nonlinear developments we present the numerical methods implemented coupling the hydrodynamical evolution of a parallel shock in one space dimension and the kinetic transport of the cosmicrays cr distribution function in one momentum dimension as first done by falle following kang and jones and collaborators we show how the adaptive mesh refinement technique amr greatly helps accommodating the extremely demanding numerical resolution requirements of realistic bohmlike cr diffusion coefficients we also present the paral lelization of the code which allows us to run many successive shocks at the cost of a single shock and thus to present the first direct numerical simulations of linear and nonlinear multiple dsa a mechanism of interest in various astrophysical environments such as superbubbles galaxy clusters and early cosmological flows | [['we', 'present', 'a', 'new', 'code', 'aimed', 'at', 'the', 'simulation', 'of', 'diffusive', 'shock', 'acceleration', 'dsa', 'and', 'discuss', 'various', 'test', 'cases', 'which', 'demonstrate', 'its', 'ability', 'to', 'study', 'dsa', 'in', 'its', 'full', 'timedependent', 'and', 'nonlinear', 'developments', 'we', 'present', 'the', 'numerical', 'methods', 'implemented', 'coupling', 'the', 'hydrodynamical', 'evolution', 'of', 'a', 'parallel', 'shock', 'in', 'one', 'space', 'dimension', 'and', 'the', 'kinetic', 'transport', 'of', 'the', 'cosmicrays', 'cr', 'distribution', 'function', 'in', 'one', 'momentum', 'dimension', 'as', 'first', 'done', 'by', 'falle', 'following', 'kang', 'and', 'jones', 'and', 'collaborators', 'we', 'show', 'how', 'the', 'adaptive', 'mesh', 'refinement', 'technique', 'amr', 'greatly', 'helps', 'accommodating', 'the', 'extremely', 'demanding', 'numerical', 'resolution', 'requirements', 'of', 'realistic', 'bohmlike', 'cr', 'diffusion', 'coefficients', 'we', 'also', 'present', 'the', 'paral', 'lelization', 'of', 'the', 'code', 'which', 'allows', 'us', 'to', 'run', 'many', 'successive', 'shocks', 'at', 'the', 'cost', 'of', 'a', 'single', 'shock', 'and', 'thus', 'to', 'present', 'the', 'first', 'direct', 'numerical', 'simulations', 'of', 'linear', 'and', 'nonlinear', 'multiple', 'dsa', 'a', 'mechanism', 'of', 'interest', 'in', 'various', 'astrophysical', 'environments', 'such', 'as', 'superbubbles', 'galaxy', 'clusters', 'and', 'early', 'cosmological', 'flows']] | [-0.11218926887594018, 0.05893850360017002, -0.06024850602413899, 0.08207305580274099, -0.08951659901585016, -0.10646122496185545, -0.007000665713004233, 0.3726000371693445, -0.3016099377742244, -0.3212336446310765, 0.050467148213190774, -0.19329479494859889, -0.10173779841530703, 0.21143443043666338, 0.04591479146658303, 0.07425398271746958, 0.08277342288931405, -0.08519929516573552, -0.036351513496282045, -0.25962013154734975, 0.3076842286817279, 0.1806302247812448, 0.22028701088019934, 0.0367542512568773, 0.12224773994610444, -0.030350136728896426, -0.08571395226236847, 0.024274696894126525, -0.13905874721468517, 0.07612899114306274, 0.20989597658626735, 0.13556174079589303, 0.28257859442261307, -0.49161048233509064, -0.27863127975633334, 0.014425138131794489, 0.18469920969915157, 0.10909364315121149, -0.0963270434975819, -0.2280511364730355, 0.05722469721732089, -0.21298059431099473, -0.1418302490686377, -0.03983535088166546, -0.03892643446729707, 0.04880185784266811, -0.27378364320040915, 0.07518312199101357, 0.029931103034565847, 0.01985329717817698, -0.031773604524513596, -0.05703843362611152, -0.0023418823546224755, 0.10509132312875533, 0.03414208071878533, -0.01906988534199841, 0.10749365405173474, -0.13475063109612154, -0.12821736982171394, 0.42570703373795826, -0.03924851133670731, -0.15881849259284198, 0.2768483475167183, -0.1684272209931092, -0.14255164644766136, 0.12999685507365108, 0.19808229835235264, 0.11939710432213116, -0.11788069435358778, 0.0837514012522411, 0.01988613358972704, 0.10266093298141522, 0.028620208041389393, -0.03088784631584418, 0.15802679153378396, 0.1708842082850002, 0.03712179121489825, 0.11691472188453951, -0.11473206428390946, -0.052564718719462264, -0.29025034569667996, -0.1859924222230059, -0.14485945632023847, 0.03518855167260649, -0.13862083705421385, -0.1208549265390615, 0.39551429042982217, 0.20181547854935714, 0.16367899044873377, 0.03850720697569545, 0.3306199492417958, 0.07826562504454522, -0.01489570010088238, 0.12718795914829897, 0.20009444584899577, 0.12612235541851108, 0.1647399964078871, -0.28116530136454826, 0.0372445707086145, 0.0771825808629978] |
710.194 | Spatio-temporal scaling for out-of-equilibrium relaxation dynamics of an
elastic manifold in random media: crossover between the Larkin regime and
thermally activated regime | We study relaxation dynamics of a three dimensional elastic manifold in
random potential from a uniform initial condition by numerically solving the
Langevin equation.We observe growth of roughness of the system up to larger
wavelengths with time.We analyze structure factor in detail and find a compact
scaling ansatz describing two distinct time regimes and crossover between them.
We find short time regime corresponding to length scale smaller than the Larkin
length $L_c$ is well described by the Larkin model which predicts a power law
growth of domain size $L(t)$. Longer time behavior exhibits the random manifold
regime with slower growth of $L(t)$.
| cond-mat.dis-nn cond-mat.stat-mech | we study relaxation dynamics of a three dimensional elastic manifold in random potential from a uniform initial condition by numerically solving the langevin equationwe observe growth of roughness of the system up to larger wavelengths with timewe analyze structure factor in detail and find a compact scaling ansatz describing two distinct time regimes and crossover between them we find short time regime corresponding to length scale smaller than the larkin length l_c is well described by the larkin model which predicts a power law growth of domain size lt longer time behavior exhibits the random manifold regime with slower growth of lt | [['we', 'study', 'relaxation', 'dynamics', 'of', 'a', 'three', 'dimensional', 'elastic', 'manifold', 'in', 'random', 'potential', 'from', 'a', 'uniform', 'initial', 'condition', 'by', 'numerically', 'solving', 'the', 'langevin', 'equationwe', 'observe', 'growth', 'of', 'roughness', 'of', 'the', 'system', 'up', 'to', 'larger', 'wavelengths', 'with', 'timewe', 'analyze', 'structure', 'factor', 'in', 'detail', 'and', 'find', 'a', 'compact', 'scaling', 'ansatz', 'describing', 'two', 'distinct', 'time', 'regimes', 'and', 'crossover', 'between', 'them', 'we', 'find', 'short', 'time', 'regime', 'corresponding', 'to', 'length', 'scale', 'smaller', 'than', 'the', 'larkin', 'length', 'l_c', 'is', 'well', 'described', 'by', 'the', 'larkin', 'model', 'which', 'predicts', 'a', 'power', 'law', 'growth', 'of', 'domain', 'size', 'lt', 'longer', 'time', 'behavior', 'exhibits', 'the', 'random', 'manifold', 'regime', 'with', 'slower', 'growth', 'of', 'lt']] | [-0.16191206951899564, 0.20438054774308065, -0.11077128924137238, 0.060613236258801655, -0.024510244852589333, -0.18500615104658566, 0.0039714396333175835, 0.35045328746805443, -0.28452012735400717, -0.2703805796313556, 0.06673047809140283, -0.23908210788652592, -0.13053894269407965, 0.1918042254994861, 0.056962557283102296, 0.03667733499634208, -0.017368599585275733, -0.00522146399781181, -0.07428845496592569, -0.18824879111786025, 0.3004640782430001, 0.05278522448440758, 0.2968990835452489, -0.003951887536209588, 0.08990834844663885, -0.026838059238085122, 0.02361203386795287, 0.06332590399474344, -0.22095437189929334, -0.007319232455783468, 0.16961583133681915, -0.001063455736228064, 0.24848301288005256, -0.4060203189158118, -0.2303886348278919, 0.06265730254224264, 0.15166111276758945, 0.12069163340885436, 0.024355850336552763, -0.22845337885276726, 0.05588358958416125, -0.11820663342836733, -0.19261508351009266, -0.022619775679035514, 0.11102941438701808, -0.00021307619217801474, -0.24566257434529618, 0.15034141290165923, 0.06133738894120553, 0.04261017308710828, -0.04648118766992554, -0.06454426596539241, 0.03208683325233413, 0.07243864033736434, 0.08120244763010893, 0.021681142690153244, 0.1210585476821471, -0.10110574454166436, -0.07185897377191805, 0.3454539406423767, -0.0887952156728145, -0.13281102520505003, 0.18291597149572245, -0.2102179735415049, -0.02657582116422846, 0.16433684236150892, 0.16640722264499203, 0.09474319770771555, -0.13450250010446682, 0.09295575413517665, 0.010010004631362344, 0.22223429155408167, 0.0966894251235085, 0.029659015181310037, 0.13381258661256118, 0.2523898038666184, 0.041865757990665005, 0.17683332203887403, -0.07946208340153509, -0.172189696911065, -0.26376442027771296, -0.08887000570950263, -0.1766061700844005, 0.11630977814396222, -0.17326233299037067, -0.15623226061499879, 0.3725140546631141, 0.08442884238662801, 0.252184160514826, 0.15530665560429185, 0.20779537730028524, 0.13980526374150798, 0.06952574553296846, 0.1294970284216106, 0.16921108688100003, 0.09403694994227194, 0.09725101184392092, -0.2805620645967257, 0.030894454045896875, 0.09326661470364414] |
710.1941 | Gamma-Ray Astronomy around 100 TeV with a large Muon Detector operated
at Very High Altitude | Measurements at 100 TeV and above are an important goal for the next
generation of high energy gamma-ray astronomy experiments to solve the still
open problem of the origin of galactic cosmic rays. The most natural
experimental solution to detect very low radiation fluxes is provided by the
Extensive Air Shower (EAS) arrays. They benefit from a close to 90% duty cycle
and a very large field of view (about 2 sr), but the sensitivity is limited by
their angular resolution and their poor cosmic ray background discrimination.
Above 10 TeV the standard technique for rejecting the hadronic background
consists in looking for "muon-poor" showers.
In this paper we discuss the capability of a large muon detector (A=2500 m2)
operated with an EAS array at very high altitude (>4000 m a.s.l.) to detect
gamma-ray fluxes around 100 TeV. Simulation-based estimates of energy ranges
and sensitivities are presented.
| astro-ph | measurements at 100 tev and above are an important goal for the next generation of high energy gammaray astronomy experiments to solve the still open problem of the origin of galactic cosmic rays the most natural experimental solution to detect very low radiation fluxes is provided by the extensive air shower eas arrays they benefit from a close to 90 duty cycle and a very large field of view about 2 sr but the sensitivity is limited by their angular resolution and their poor cosmic ray background discrimination above 10 tev the standard technique for rejecting the hadronic background consists in looking for muonpoor showers in this paper we discuss the capability of a large muon detector a2500 m2 operated with an eas array at very high altitude 4000 m asl to detect gammaray fluxes around 100 tev simulationbased estimates of energy ranges and sensitivities are presented | [['measurements', 'at', '100', 'tev', 'and', 'above', 'are', 'an', 'important', 'goal', 'for', 'the', 'next', 'generation', 'of', 'high', 'energy', 'gammaray', 'astronomy', 'experiments', 'to', 'solve', 'the', 'still', 'open', 'problem', 'of', 'the', 'origin', 'of', 'galactic', 'cosmic', 'rays', 'the', 'most', 'natural', 'experimental', 'solution', 'to', 'detect', 'very', 'low', 'radiation', 'fluxes', 'is', 'provided', 'by', 'the', 'extensive', 'air', 'shower', 'eas', 'arrays', 'they', 'benefit', 'from', 'a', 'close', 'to', '90', 'duty', 'cycle', 'and', 'a', 'very', 'large', 'field', 'of', 'view', 'about', '2', 'sr', 'but', 'the', 'sensitivity', 'is', 'limited', 'by', 'their', 'angular', 'resolution', 'and', 'their', 'poor', 'cosmic', 'ray', 'background', 'discrimination', 'above', '10', 'tev', 'the', 'standard', 'technique', 'for', 'rejecting', 'the', 'hadronic', 'background', 'consists', 'in', 'looking', 'for', 'muonpoor', 'showers', 'in', 'this', 'paper', 'we', 'discuss', 'the', 'capability', 'of', 'a', 'large', 'muon', 'detector', 'a2500', 'm2', 'operated', 'with', 'an', 'eas', 'array', 'at', 'very', 'high', 'altitude', '4000', 'm', 'asl', 'to', 'detect', 'gammaray', 'fluxes', 'around', '100', 'tev', 'simulationbased', 'estimates', 'of', 'energy', 'ranges', 'and', 'sensitivities', 'are', 'presented']] | [-0.07778553842157447, 0.19169026559463637, 0.01613022878380685, 0.15634348629893544, -0.05121897969812412, -0.06723959564456138, 0.0057760109233766285, 0.4109855470215452, -0.2104669626713891, -0.4520725729008173, 0.08664386977826984, -0.3413236148077352, 0.033026600240504946, 0.22858547444358981, -0.019410008500362265, 0.018519407615531235, 0.11083793266563965, -0.01887381562625925, -0.030857113730322953, -0.18651528303944986, 0.19339970780761334, 0.26269979877718563, 0.251844937970926, 0.08798269397149601, 0.15875571225448673, -0.06639488268772076, -0.06675657432783266, -0.027830375907621507, -0.07386881972438303, 0.0899921639641779, 0.3142434954900166, 0.1524277021739118, 0.16409852236573552, -0.39248618272871805, -0.15968767459151045, 0.12344196018088481, 0.11155499307968622, 0.01550352028731642, -0.07362852415134166, -0.27656824055994894, 0.14378952340961532, -0.14750389151339388, -0.16489881857715805, 0.028379312591177635, -0.038497776675423416, 0.008137736411700989, -0.1937882621355098, -0.0003402844456763103, -0.013237197597607456, 0.08861996029856904, -0.04512421197563025, -0.14578412726264575, 0.06983671195419698, 0.08547681216150523, 0.0802826849346306, 0.07095829100299883, 0.15061777119067143, -0.16837576796975115, -0.08780578359447677, 0.3693308401724388, -0.06568147516327685, -0.10067357042611673, 0.22315125807734398, -0.20721986631638017, -0.14589350701084938, 0.25494385747046305, 0.18058139352922745, 0.09776775320542269, -0.19745289515703918, 0.06217897497137591, 0.04687540239236992, 0.18751937972044508, 0.08793925727749693, 0.021961174031783794, 0.2858954772610089, 0.21787765168681228, 0.1304586947116808, 0.06514240920800587, -0.2253270731917743, 0.03801900718907087, -0.29319983944617983, -0.07681859823200723, -0.16106334267473169, 0.09194962957889997, -0.09204305385295623, -0.08973877709358931, 0.3934716644343631, 0.15549850362385143, 0.17574038085495602, 0.03162982118444453, 0.3072670492375719, 0.033702308741590845, 0.01423694734453577, 0.07011991966001946, 0.321191660269838, 0.1130443078032213, 0.1587847884134229, -0.1855487689809424, -0.010311911062433801, -0.03844719947925929] |
710.1942 | Spatial confinement effects on quantum field theory using nonlinear
coherent states approach | We study some basic quantum confinement effects through investigation a
deformed harmonic oscillator algebra. We show that spatial confinement effects
on a quantum harmonic oscillator can be represented by a deformation function
within the framework of nonlinear coherent states theory. Using the deformed
algebra, we construct a quantum field theory in confined space. In particular,
we find that the confinement influences on some physical properties of the
electromagnetic field and it gives rise to nonlinear interaction. Furthermore,
we propose a physical scheme to generate the nonlinear coherent states
associated with the electromagnetic field in a confined region.
| quant-ph | we study some basic quantum confinement effects through investigation a deformed harmonic oscillator algebra we show that spatial confinement effects on a quantum harmonic oscillator can be represented by a deformation function within the framework of nonlinear coherent states theory using the deformed algebra we construct a quantum field theory in confined space in particular we find that the confinement influences on some physical properties of the electromagnetic field and it gives rise to nonlinear interaction furthermore we propose a physical scheme to generate the nonlinear coherent states associated with the electromagnetic field in a confined region | [['we', 'study', 'some', 'basic', 'quantum', 'confinement', 'effects', 'through', 'investigation', 'a', 'deformed', 'harmonic', 'oscillator', 'algebra', 'we', 'show', 'that', 'spatial', 'confinement', 'effects', 'on', 'a', 'quantum', 'harmonic', 'oscillator', 'can', 'be', 'represented', 'by', 'a', 'deformation', 'function', 'within', 'the', 'framework', 'of', 'nonlinear', 'coherent', 'states', 'theory', 'using', 'the', 'deformed', 'algebra', 'we', 'construct', 'a', 'quantum', 'field', 'theory', 'in', 'confined', 'space', 'in', 'particular', 'we', 'find', 'that', 'the', 'confinement', 'influences', 'on', 'some', 'physical', 'properties', 'of', 'the', 'electromagnetic', 'field', 'and', 'it', 'gives', 'rise', 'to', 'nonlinear', 'interaction', 'furthermore', 'we', 'propose', 'a', 'physical', 'scheme', 'to', 'generate', 'the', 'nonlinear', 'coherent', 'states', 'associated', 'with', 'the', 'electromagnetic', 'field', 'in', 'a', 'confined', 'region']] | [-0.13491302551029577, 0.19403294562218115, -0.10826077258463987, 0.0692838911692007, -0.05183874028398819, -0.12040447055832627, -0.014877997271562974, 0.39880041079115625, -0.27458518136715154, -0.22325890777709403, 0.012230275454450898, -0.2083359578163507, -0.23627258398445303, 0.18250272977981985, -0.02547302548371534, 0.012351221407970087, 0.02740047257585624, 0.050893516673408835, -0.07252595267383401, -0.1380797362041458, 0.34022090584999815, 0.014074418243721664, 0.26628560037112115, 0.04749595956185583, 0.11606713329662674, 0.03253323402851052, 0.05077832392368888, 0.05778135674658769, -0.14120268363811042, 0.128512841189693, 0.18444192155861996, 0.026292186987720737, 0.2728732066977884, -0.45583565323853614, -0.24833513004225247, 0.04837440403139929, 0.12435552829302866, 0.17130307810106218, -0.07375593018026773, -0.3013230107302211, -0.010528411821836663, -0.17919004938958846, -0.1635636810270935, -0.12095835901912033, -0.010723203805889743, 0.002190356687090561, -0.25644174477411913, 0.05752942111996031, 0.03925793211830338, 0.047265616303175384, -0.09064813705218822, 0.01835011793108484, -0.002143629101709914, 0.07394776021888883, -0.04489458350407094, 0.02901517909221812, 0.17763906028409748, -0.15219946377298593, -0.11826353824034948, 0.38986247182660494, -0.07493404539052359, -0.2552002384375358, 0.1440235086303857, -0.17023555282503366, -0.10210168125472732, 0.09564243889288958, 0.20395438742737487, 0.08642090542107514, -0.08875507066391178, 0.13245068228330714, -0.039465568686076966, 0.1437740407178428, 0.04608022102116386, 0.10168391854031798, 0.22289275938702613, 0.13934796917751507, 0.007520293020019212, 0.201572453553942, -0.03552270560710182, -0.15044996580205014, -0.3740548758009045, -0.13234817439248575, -0.13912671481825642, 0.10026735372207675, -0.03667161023900148, -0.18714224705568602, 0.44420966045514976, 0.13290400665311008, 0.1679905903994912, -0.0376042036973324, 0.22847358996682254, 0.1653295758506763, 0.07337884220880331, 0.028575107263228327, 0.28417657457169665, 0.23669484898582407, 0.050623556853454446, -0.258892364895989, -0.0923086729227114, 0.07723249703376871] |
710.1943 | Fano Resonances in Stubbed Quantum Waveguides with Impurities | We consider T--shaped, two--dimensional quantum waveguides containing
attractive or repulsive impurities with a smooth, realistic shape, and study
how the resonance behavior of the total conductance depends upon the strength
of the defect potential and the geometry of the device. The resonance
parameters are determined locating the relevant S-matrix poles in the Riemann
energy surface. The total scattering operator is obtained from the S-matrices
of the various constituent segments of the device through the *-product
composition rule. This allows for a numerically stable evaluation of the
scattering matrix and of the resonance parameters.
| cond-mat.mes-hall | we consider tshaped twodimensional quantum waveguides containing attractive or repulsive impurities with a smooth realistic shape and study how the resonance behavior of the total conductance depends upon the strength of the defect potential and the geometry of the device the resonance parameters are determined locating the relevant smatrix poles in the riemann energy surface the total scattering operator is obtained from the smatrices of the various constituent segments of the device through the product composition rule this allows for a numerically stable evaluation of the scattering matrix and of the resonance parameters | [['we', 'consider', 'tshaped', 'twodimensional', 'quantum', 'waveguides', 'containing', 'attractive', 'or', 'repulsive', 'impurities', 'with', 'a', 'smooth', 'realistic', 'shape', 'and', 'study', 'how', 'the', 'resonance', 'behavior', 'of', 'the', 'total', 'conductance', 'depends', 'upon', 'the', 'strength', 'of', 'the', 'defect', 'potential', 'and', 'the', 'geometry', 'of', 'the', 'device', 'the', 'resonance', 'parameters', 'are', 'determined', 'locating', 'the', 'relevant', 'smatrix', 'poles', 'in', 'the', 'riemann', 'energy', 'surface', 'the', 'total', 'scattering', 'operator', 'is', 'obtained', 'from', 'the', 'smatrices', 'of', 'the', 'various', 'constituent', 'segments', 'of', 'the', 'device', 'through', 'the', 'product', 'composition', 'rule', 'this', 'allows', 'for', 'a', 'numerically', 'stable', 'evaluation', 'of', 'the', 'scattering', 'matrix', 'and', 'of', 'the', 'resonance', 'parameters']] | [-0.1662998615553783, 0.13272257034055968, -0.051975112333292925, 0.04109034456452856, -0.030223509569662393, -0.11976947390063795, 0.03452009563234144, 0.3381940242183465, -0.24835837924832938, -0.2670753502477241, 0.03276305263247078, -0.3044177811639446, -0.16390863917417503, 0.16966780025501965, 0.05378223357782248, 0.08888790647183815, 0.04900478480273597, 0.07478397408179858, -0.08502889477888183, -0.17269531231103163, 0.38038056205597615, 0.02648398856336992, 0.27280185503825066, 0.12270524719810133, 0.04890906940945374, 0.08902057278550841, 0.04041269467642871, -0.02796811420690789, -0.1292820380780325, 0.13157760322103979, 0.18910491512587635, 0.01202940724549755, 0.1438962993192016, -0.45650925813743504, -0.17911925195886563, 0.05394654491195275, 0.13177536792241998, 0.08410071357784252, -0.019486809742727106, -0.2889458327403953, 0.02101862426817177, -0.1186840609892682, -0.17482955027772215, -0.01791667195928273, 0.012708972373436536, 0.03323181422667638, -0.24762408002730338, 0.06117357291100967, 0.01767384579345103, 0.028435221712996242, -0.08304933199761635, -0.1231369610515333, -0.04700526345636375, 0.12744583922778807, 0.016143982920805693, -0.04355472265442292, 0.20909481241758313, -0.15074956793868813, -0.052585339699421196, 0.3545649279589935, -0.04582139445088243, -0.2037605658653618, 0.14967441788163557, -0.14635040366180962, -0.014670273889937708, 0.15555577099783927, 0.14289477943212434, 0.13518921302891868, -0.14723373785294513, 0.1432886228387204, -0.024875447399393524, 0.14611079399874535, 0.07624873051780366, 0.019944213821442538, 0.23313091430933244, 0.1652766410286428, 0.015500719258461589, 0.17002957414895778, -0.13997397891756508, -0.090639740302811, -0.31526640261853894, -0.14488765974879586, -0.19418288152464616, 0.039237938590988675, -0.12101325573933547, -0.2179547704265563, 0.4544748923470897, 0.10181706290321565, 0.22590069343606312, -0.019175371485612085, 0.2763078262008006, 0.16458341104268867, 0.10322117014858191, -0.0034594745024718264, 0.24914094291987918, 0.17751255912846456, 0.04548726238370422, -0.3253071514178588, 0.02358788186283682, 0.045262632653698] |
710.1944 | Laser-interferometric Detectors for Gravitational Wave Background at 100
MHz : Detector Design and Sensitivity | Recently, observational searches for gravitational wave background (GWB) have
developed and given direct and indirect constraints on the energy density of
GWB in a broad range of frequencies. These constraints have already rejected
some theoretical models of large GWB spectra. However, at 100 MHz, there is no
strict upper limit from direct observation, though the indirect limit by He4
abundance due to big-bang nucleosynthesis exists. In this paper, we propose an
experiment with laser interferometers searching GWB at 100 MHz. We considered
three detector designs and evaluated the GW response functions of a single
detector. As a result, we found that, at 100 MHz, the most sensitive detector
is the design, a so-called synchronous recycling interferometer, which has
better sensitivity than an ordinary Fabry-Perot Michelson interferometer by a
factor of 3.3 at 100 MHz. We also give the best sensitivity achievable at 100
MHz with realistic experimental parameters.
| gr-qc | recently observational searches for gravitational wave background gwb have developed and given direct and indirect constraints on the energy density of gwb in a broad range of frequencies these constraints have already rejected some theoretical models of large gwb spectra however at 100 mhz there is no strict upper limit from direct observation though the indirect limit by he4 abundance due to bigbang nucleosynthesis exists in this paper we propose an experiment with laser interferometers searching gwb at 100 mhz we considered three detector designs and evaluated the gw response functions of a single detector as a result we found that at 100 mhz the most sensitive detector is the design a socalled synchronous recycling interferometer which has better sensitivity than an ordinary fabryperot michelson interferometer by a factor of 33 at 100 mhz we also give the best sensitivity achievable at 100 mhz with realistic experimental parameters | [['recently', 'observational', 'searches', 'for', 'gravitational', 'wave', 'background', 'gwb', 'have', 'developed', 'and', 'given', 'direct', 'and', 'indirect', 'constraints', 'on', 'the', 'energy', 'density', 'of', 'gwb', 'in', 'a', 'broad', 'range', 'of', 'frequencies', 'these', 'constraints', 'have', 'already', 'rejected', 'some', 'theoretical', 'models', 'of', 'large', 'gwb', 'spectra', 'however', 'at', '100', 'mhz', 'there', 'is', 'no', 'strict', 'upper', 'limit', 'from', 'direct', 'observation', 'though', 'the', 'indirect', 'limit', 'by', 'he4', 'abundance', 'due', 'to', 'bigbang', 'nucleosynthesis', 'exists', 'in', 'this', 'paper', 'we', 'propose', 'an', 'experiment', 'with', 'laser', 'interferometers', 'searching', 'gwb', 'at', '100', 'mhz', 'we', 'considered', 'three', 'detector', 'designs', 'and', 'evaluated', 'the', 'gw', 'response', 'functions', 'of', 'a', 'single', 'detector', 'as', 'a', 'result', 'we', 'found', 'that', 'at', '100', 'mhz', 'the', 'most', 'sensitive', 'detector', 'is', 'the', 'design', 'a', 'socalled', 'synchronous', 'recycling', 'interferometer', 'which', 'has', 'better', 'sensitivity', 'than', 'an', 'ordinary', 'fabryperot', 'michelson', 'interferometer', 'by', 'a', 'factor', 'of', '33', 'at', '100', 'mhz', 'we', 'also', 'give', 'the', 'best', 'sensitivity', 'achievable', 'at', '100', 'mhz', 'with', 'realistic', 'experimental', 'parameters']] | [-0.11791818971254837, 0.1440904194135549, -0.026697547524236143, 0.06434846294782678, -0.07450996916756865, -0.12493310493064692, 0.0691134098884209, 0.3758560107278361, -0.1595301910380619, -0.3755115480602694, 0.07344424747547286, -0.27772689498709263, -0.07335002471793543, 0.2529886932021032, 0.060426459974936536, 0.050897656968241, 0.08811672303724934, -0.0067351145223034795, -0.062444303233516275, -0.16940135564466283, 0.2337103927109982, 0.18887931200505764, 0.2681306569457111, 0.014475027986525281, 0.11303399129443474, -0.08730900563721268, -0.022592725251121697, -0.047639422357787155, -0.15858655306063255, 0.023993790571300966, 0.3101115418558775, 0.1399011082812649, 0.22043522475350247, -0.413713568223741, -0.19081116846221424, 0.11640323871885098, 0.07545213242426414, 0.10020912611916838, -0.0757421798716186, -0.3165551039541291, 0.07156176530328151, -0.21306616089910874, -0.08616162120912073, 0.02788508223779531, 0.019975890503209904, -0.006108776711846223, -0.23968282727071563, 0.0676238078895777, -0.017289560346398503, 0.03974245045459168, -0.036315406387910955, -0.15457668773691496, 0.06380565902941886, -0.012497158916163686, -0.012581235556108123, 0.05154149792459164, 0.14592290746765463, -0.08657720603671781, -0.11573574314447674, 0.34533266747068314, -0.1461489431288076, -0.09072176166778631, 0.18958871968946345, -0.21431998450724357, -0.14262358882980472, 0.18392133056437848, 0.14730933765767495, 0.06144174686129633, -0.14417514450709662, 0.05654021306396022, 0.017042863889966266, 0.24431211200567918, 0.1608959513927206, 0.08569365623013771, 0.26212474245678735, 0.2044051736310074, 0.09493846995787494, 0.0803723962902016, -0.18825468764092923, 0.017542297303726948, -0.2892613146875708, -0.020716804372716217, -0.14514968447966148, 0.07367191414025887, -0.07760402310501573, -0.08492535843539077, 0.375813320109218, 0.1594630812870565, 0.15057029224604973, 0.061158702085014886, 0.34386726155030745, 0.13623708655516542, 0.0610144379064189, 0.013126795513656092, 0.3822916137486007, 0.11777826870250441, 0.07458965738014495, -0.15405527100508176, 0.0261568054682701, -0.0677677567063428] |
710.1945 | Measurement of the angular resolution of the ARGO-YBJ detector | The ARGO-YBJ experiment is a full coverage EAS-array installed at the
YangBaJing Cosmic Ray Laboratory (4300 m a.s.l., Tibet, P.R. China). We present
the results on the angular resolution measured with different methods with the
full central carpet. The comparison of experimental results with MC simulations
is discussed.
| astro-ph | the argoybj experiment is a full coverage easarray installed at the yangbajing cosmic ray laboratory 4300 m asl tibet pr china we present the results on the angular resolution measured with different methods with the full central carpet the comparison of experimental results with mc simulations is discussed | [['the', 'argoybj', 'experiment', 'is', 'a', 'full', 'coverage', 'easarray', 'installed', 'at', 'the', 'yangbajing', 'cosmic', 'ray', 'laboratory', '4300', 'm', 'asl', 'tibet', 'pr', 'china', 'we', 'present', 'the', 'results', 'on', 'the', 'angular', 'resolution', 'measured', 'with', 'different', 'methods', 'with', 'the', 'full', 'central', 'carpet', 'the', 'comparison', 'of', 'experimental', 'results', 'with', 'mc', 'simulations', 'is', 'discussed']] | [-0.11825939746415044, 0.12565465917454122, -0.028634773220549872, 0.07825985357185151, -0.014466867276883505, -0.025933178092174707, -0.05135275647935874, 0.3777833864033381, -0.12970293647153897, -0.40543454964744285, 0.04432183277218583, -0.4162836266146537, 0.008151043127191828, 0.2551425367623488, 0.026470769295825602, 0.04649455599645351, 0.1346166529395479, -0.005147779994505517, -0.07530218061614544, -0.2044368227349317, 0.16437288127998087, 0.34831717065436407, 0.37604691224925696, 0.061521540821946046, 0.1851636172331711, -0.042272038870500996, -0.09568653757030025, 0.044776713535031105, -0.20954948808363777, 0.03339083483343587, 0.3162519961119966, 0.1378362804472922, 0.11951117463251378, -0.3885625737144592, -0.16932358349019544, 0.02692974200274082, 0.0187288756739903, -0.047490953923539914, -0.09048631901486202, -0.31938343574392036, 0.1467583354468398, -0.16494070801963198, -0.13460026425804864, 0.11365458494091922, -0.09576126649737993, 0.0468301867169546, -0.22593997073597571, -0.0586384716679025, -0.03827175886390057, 0.1838285621612313, -0.047929583625134796, -0.18025255623332997, 0.055423495805564715, 0.11706137040164322, 0.01752580796427866, 0.07433557077410057, 0.0975213199160359, -0.01084827843736461, -0.07744545746158729, 0.3833510847960381, -0.06033673412860074, -0.09561007077548098, 0.2057698809571485, -0.33550769903082794, -0.10086954627656675, 0.16283510030901177, 0.11684437682653995, 0.06216347015443, -0.11236833662111709, 0.13488219047282288, -0.10255693398574565, 0.16697670436127388, 0.10283708863673692, -0.07969455397192468, 0.21207941795124652, 0.26692069440515354, 0.05034035462588864, 0.026926275469025873, -0.29235629294998944, -0.009792677235809412, -0.29052277591000214, -0.1303886738903028, -0.16759980414459047, 0.03362395476668756, -0.05386755241952995, -0.0357574989741787, 0.3633577594176886, 0.12425210978835821, 0.12550926521579, 0.023470159917277224, 0.3554146321530038, -0.020344058111151482, 0.03927818158681088, 0.061592874473872336, 0.24867796677813686, 0.10112974134848472, 0.2370616064922131, -0.2274686146646421, -0.0007934940562761844, 0.021812093924691387] |
710.1946 | A deep, high resolution survey of the low frequency radio sky | We report on the first wide-field, very long baseline interferometry (VLBI)
survey at 90 cm. The survey area consists of two overlapping 28 deg^2 fields
centred on the quasar J0226+3421 and the gravitational lens B0218+357. A total
of 618 sources were targeted in these fields, based on identifications from
Westerbork Northern Sky Survey (WENSS) data. Of these sources, 272 had flux
densities that, if unresolved, would fall above the sensitivity limit of the
VLBI observations. A total of 27 sources were detected as far as 2 arcdegrees
from the phase centre. The results of the survey suggest that at least 10% of
moderately faint (S~100 mJy) sources found at 90 cm contain compact components
smaller than ~0.1 to 0.3 arcsec and stronger than 10% of their total flux
densities. A ~90 mJy source was detected in the VLBI data that was not seen in
the WENSS and NRAO VLA Sky Survey (NVSS) data and may be a transient or highly
variable source that has been serendipitously detected. This survey is the
first systematic (and non-biased), deep, high-resolution survey of the
low-frequency radio sky. It is also the widest field of view VLBI survey with a
single pointing to date, exceeding the total survey area of previous higher
frequency surveys by two orders of magnitude. These initial results suggest
that new low frequency telescopes, such as LOFAR, should detect many compact
radio sources and that plans to extend these arrays to baselines of several
thousand kilometres are warranted.
| astro-ph | we report on the first widefield very long baseline interferometry vlbi survey at 90 cm the survey area consists of two overlapping 28 deg2 fields centred on the quasar j02263421 and the gravitational lens b0218357 a total of 618 sources were targeted in these fields based on identifications from westerbork northern sky survey wenss data of these sources 272 had flux densities that if unresolved would fall above the sensitivity limit of the vlbi observations a total of 27 sources were detected as far as 2 arcdegrees from the phase centre the results of the survey suggest that at least 10 of moderately faint s100 mjy sources found at 90 cm contain compact components smaller than 01 to 03 arcsec and stronger than 10 of their total flux densities a 90 mjy source was detected in the vlbi data that was not seen in the wenss and nrao vla sky survey nvss data and may be a transient or highly variable source that has been serendipitously detected this survey is the first systematic and nonbiased deep highresolution survey of the lowfrequency radio sky it is also the widest field of view vlbi survey with a single pointing to date exceeding the total survey area of previous higher frequency surveys by two orders of magnitude these initial results suggest that new low frequency telescopes such as lofar should detect many compact radio sources and that plans to extend these arrays to baselines of several thousand kilometres are warranted | [['we', 'report', 'on', 'the', 'first', 'widefield', 'very', 'long', 'baseline', 'interferometry', 'vlbi', 'survey', 'at', '90', 'cm', 'the', 'survey', 'area', 'consists', 'of', 'two', 'overlapping', '28', 'deg2', 'fields', 'centred', 'on', 'the', 'quasar', 'j02263421', 'and', 'the', 'gravitational', 'lens', 'b0218357', 'a', 'total', 'of', '618', 'sources', 'were', 'targeted', 'in', 'these', 'fields', 'based', 'on', 'identifications', 'from', 'westerbork', 'northern', 'sky', 'survey', 'wenss', 'data', 'of', 'these', 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710.1947 | Results from Droxo. I. The variability of fluorescent Fe 6.4 keV
emission in the young star Elias 29: High-energy electrons in the star's
accretion tubes? | AIMS. We study the variability of the Fe 6.4 KeV emission line from the Class
I young stellar object Elias 29 in the Rho-Oph cloud. METHODS. We analysed the
data from Elias 29 collected by XMM during a nine-day, nearly continuous
observation of the Rho-Oph star-forming region (the Deep Rho-Oph X-ray
Observation, named Droxo). The data were subdivided into six homogeneous time
intervals, and the six resulting spectra were individually analysed. RESULTS.
We detect significant variability in the equivalent width of the Fe 6.4 keV
emission line from Elias 29. The 6.4 keV line is absent during the first time
interval of observation and appears at its maximum strength during the second
time interval (90 ks after Elias 29 undergoes a strong flare). The X-ray
thermal emission is unchanged between the two observation segments, while line
variability is present at a 99.9% confidence level. Given the significant line
variability in the absence of variations in the X-ray ionising continuum and
the weakness of the photoionising continuum from the star's thermal X-ray
emission, we suggest that the fluorescence may be induced by collisional
ionisation from an (unseen) population of non-thermal electrons. We speculate
on the possibility that the electrons are accelerated in a reconnection event
of a magnetically confined accretion loop, connecting the young star to its
circumstellar disk.
| astro-ph | aims we study the variability of the fe 64 kev emission line from the class i young stellar object elias 29 in the rhooph cloud methods we analysed the data from elias 29 collected by xmm during a nineday nearly continuous observation of the rhooph starforming region the deep rhooph xray observation named droxo the data were subdivided into six homogeneous time intervals and the six resulting spectra were individually analysed results we detect significant variability in the equivalent width of the fe 64 kev emission line from elias 29 the 64 kev line is absent during the first time interval of observation and appears at its maximum strength during the second time interval 90 ks after elias 29 undergoes a strong flare the xray thermal emission is unchanged between the two observation segments while line variability is present at a 999 confidence level given the significant line variability in the absence of variations in the xray ionising continuum and the weakness of the photoionising continuum from the stars thermal xray emission we suggest that the fluorescence may be induced by collisional ionisation from an unseen population of nonthermal electrons we speculate on the possibility that the electrons are accelerated in a reconnection event of a magnetically confined accretion loop connecting the young star to its circumstellar disk | [['aims', 'we', 'study', 'the', 'variability', 'of', 'the', 'fe', '64', 'kev', 'emission', 'line', 'from', 'the', 'class', 'i', 'young', 'stellar', 'object', 'elias', '29', 'in', 'the', 'rhooph', 'cloud', 'methods', 'we', 'analysed', 'the', 'data', 'from', 'elias', '29', 'collected', 'by', 'xmm', 'during', 'a', 'nineday', 'nearly', 'continuous', 'observation', 'of', 'the', 'rhooph', 'starforming', 'region', 'the', 'deep', 'rhooph', 'xray', 'observation', 'named', 'droxo', 'the', 'data', 'were', 'subdivided', 'into', 'six', 'homogeneous', 'time', 'intervals', 'and', 'the', 'six', 'resulting', 'spectra', 'were', 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710.1948 | Selection of Surviving Primary Protons at 4300 m a.s.l. with the
ARGO-YBJ experiment | The primary proton spectrum up to 100 TeV has been investigated by balloon-
and satellite-borne instruments. Above this energy range only ground-based air
shower arrays can measure the cosmic ray spectrum with a technique moderately
sensitive to nuclear composition. An array which exploits the full coverage
approach at very high altitude can achieve an energy threshold well below the
TeV region, thus allowing, in principle, the inter-calibration of the measured
proton content in the primary cosmic ray flux with the existing direct
measurements from balloons/satellites.
The capability of the ARGO-YBJ experiment, located at the YangBaJing Cosmic
Ray Laboratory (4300 m a.s.l., Tibet, P.R. China), in selecting the surviving
primary cosmic ray protons is discussed. A procedure looking for
quasi-unaccompanied events with a very steep lateral distribution is also
presented.
| astro-ph | the primary proton spectrum up to 100 tev has been investigated by balloon and satelliteborne instruments above this energy range only groundbased air shower arrays can measure the cosmic ray spectrum with a technique moderately sensitive to nuclear composition an array which exploits the full coverage approach at very high altitude can achieve an energy threshold well below the tev region thus allowing in principle the intercalibration of the measured proton content in the primary cosmic ray flux with the existing direct measurements from balloonssatellites the capability of the argoybj experiment located at the yangbajing cosmic ray laboratory 4300 m asl tibet pr china in selecting the surviving primary cosmic ray protons is discussed a procedure looking for quasiunaccompanied events with a very steep lateral distribution is also presented | [['the', 'primary', 'proton', 'spectrum', 'up', 'to', '100', 'tev', 'has', 'been', 'investigated', 'by', 'balloon', 'and', 'satelliteborne', 'instruments', 'above', 'this', 'energy', 'range', 'only', 'groundbased', 'air', 'shower', 'arrays', 'can', 'measure', 'the', 'cosmic', 'ray', 'spectrum', 'with', 'a', 'technique', 'moderately', 'sensitive', 'to', 'nuclear', 'composition', 'an', 'array', 'which', 'exploits', 'the', 'full', 'coverage', 'approach', 'at', 'very', 'high', 'altitude', 'can', 'achieve', 'an', 'energy', 'threshold', 'well', 'below', 'the', 'tev', 'region', 'thus', 'allowing', 'in', 'principle', 'the', 'intercalibration', 'of', 'the', 'measured', 'proton', 'content', 'in', 'the', 'primary', 'cosmic', 'ray', 'flux', 'with', 'the', 'existing', 'direct', 'measurements', 'from', 'balloonssatellites', 'the', 'capability', 'of', 'the', 'argoybj', 'experiment', 'located', 'at', 'the', 'yangbajing', 'cosmic', 'ray', 'laboratory', '4300', 'm', 'asl', 'tibet', 'pr', 'china', 'in', 'selecting', 'the', 'surviving', 'primary', 'cosmic', 'ray', 'protons', 'is', 'discussed', 'a', 'procedure', 'looking', 'for', 'quasiunaccompanied', 'events', 'with', 'a', 'very', 'steep', 'lateral', 'distribution', 'is', 'also', 'presented']] | [-0.07567731621785193, 0.23620864683161782, -0.03776199035493173, 0.13671859094642072, -0.0344241694253906, -0.05213494196545157, -0.018220941607627696, 0.39686121985198947, -0.21728340821986006, -0.44319592545351644, 0.021831223195763378, -0.3508568843019994, 0.039803673073238746, 0.22770980460840592, 0.02041661838875299, 0.032459381287165835, 0.08368109134768363, -0.0014531510537416916, -0.02461192009174888, -0.16270959283423236, 0.2056470296719647, 0.34903015051125075, 0.3108523051423116, 0.10399297209031234, 0.1431113195158248, -0.013558739359952568, -0.06346488373920571, -0.02512280429955425, -0.09629083429023212, 0.053313941225468175, 0.3121726452849629, 0.13125873194809445, 0.13454839346681055, -0.3772380971679772, -0.22955324134870073, 0.1142274887249695, 0.08845821993909483, -0.032747342464822075, -0.06922083524033779, -0.28661996390905203, 0.11565447010569216, -0.19130403733093615, -0.18193153781068372, 0.08694714985377207, -0.07117973678693996, 0.035897243129067474, -0.21768030034392838, -0.0051654807943209095, -0.04378147316843594, 0.07181204934641132, -0.04370499632915291, -0.12869879813483498, 0.027057261880868533, 0.0897054705277496, 0.0830504233494225, 0.08422313768445976, 0.15442577082531775, -0.07720013171265738, -0.041134026332384374, 0.36434190811985356, -0.07528211936303304, -0.044154155918756335, 0.17696406431386144, -0.26003354924591626, -0.11736394222926598, 0.24273833211357376, 0.15063050960916585, 0.07388807013337537, -0.21150040321096075, 0.09710180400054917, 0.012928840922426403, 0.19070115720662545, 0.1170190988973839, -0.013011244063331621, 0.2741942020411801, 0.21771029676182385, 0.13304303165737863, 0.03211719782080677, -0.2544957541083316, 0.06683200761294505, -0.2746710855161815, -0.08369761471467929, -0.17341159373030476, 0.049013793874553985, -0.05826407637849072, -0.07674406965145857, 0.3738324926271448, 0.05828239506213215, 0.15551633179906432, 0.0029305536235778, 0.33241990111826913, 0.012244454998427665, 0.04516645032989492, 0.07095077212195931, 0.31083100264860813, 0.11541447261033037, 0.20178344121246827, -0.19345891782757277, 0.04533506254848885, -0.0037169670191131475] |
710.1949 | Distributed Source Coding Using Continuous-Valued Syndromes | This paper addresses the problem of coding a continuous random source
correlated with another source which is only available at the decoder. The
proposed approach is based on the extension of the channel coding concept of
syndrome from the discrete into the continuous domain. If the correlation
between the sources can be described by an additive Gaussian backward channel
and capacity-achieving linear codes are employed, it is shown that the
performance of the system is asymptotically close to the Wyner-Ziv bound. Even
if such an additive channel is not Gaussian, the design procedure can fit the
desired correlation and transmission rate. Experiments based on trellis-coded
quantization show that the proposed system achieves a performance within 3-4 dB
of the theoretical bound in the 0.5-3 bit/sample rate range for any Gaussian
correlation, with a reasonable computational complexity.
| cs.IT math.IT | this paper addresses the problem of coding a continuous random source correlated with another source which is only available at the decoder the proposed approach is based on the extension of the channel coding concept of syndrome from the discrete into the continuous domain if the correlation between the sources can be described by an additive gaussian backward channel and capacityachieving linear codes are employed it is shown that the performance of the system is asymptotically close to the wynerziv bound even if such an additive channel is not gaussian the design procedure can fit the desired correlation and transmission rate experiments based on trelliscoded quantization show that the proposed system achieves a performance within 34 db of the theoretical bound in the 053 bitsample rate range for any gaussian correlation with a reasonable computational complexity | [['this', 'paper', 'addresses', 'the', 'problem', 'of', 'coding', 'a', 'continuous', 'random', 'source', 'correlated', 'with', 'another', 'source', 'which', 'is', 'only', 'available', 'at', 'the', 'decoder', 'the', 'proposed', 'approach', 'is', 'based', 'on', 'the', 'extension', 'of', 'the', 'channel', 'coding', 'concept', 'of', 'syndrome', 'from', 'the', 'discrete', 'into', 'the', 'continuous', 'domain', 'if', 'the', 'correlation', 'between', 'the', 'sources', 'can', 'be', 'described', 'by', 'an', 'additive', 'gaussian', 'backward', 'channel', 'and', 'capacityachieving', 'linear', 'codes', 'are', 'employed', 'it', 'is', 'shown', 'that', 'the', 'performance', 'of', 'the', 'system', 'is', 'asymptotically', 'close', 'to', 'the', 'wynerziv', 'bound', 'even', 'if', 'such', 'an', 'additive', 'channel', 'is', 'not', 'gaussian', 'the', 'design', 'procedure', 'can', 'fit', 'the', 'desired', 'correlation', 'and', 'transmission', 'rate', 'experiments', 'based', 'on', 'trelliscoded', 'quantization', 'show', 'that', 'the', 'proposed', 'system', 'achieves', 'a', 'performance', 'within', '34', 'db', 'of', 'the', 'theoretical', 'bound', 'in', 'the', '053', 'bitsample', 'rate', 'range', 'for', 'any', 'gaussian', 'correlation', 'with', 'a', 'reasonable', 'computational', 'complexity']] | [-0.12560151670455794, 0.05415488684192058, -0.09567086094024557, 0.04820963024955105, -0.018558154124076718, -0.21071463960257394, 0.07470035556341625, 0.3875216110437005, -0.3044688953431668, -0.2544033371325996, 0.12468125435946233, -0.24269676557569592, -0.1616937583450366, 0.2103706891682965, -0.1076070244010124, 0.10837678703031055, 0.05359713707671121, 0.08118984588352894, -0.07797607130164073, -0.2792898948683783, 0.29026114441178463, 0.12359386828762514, 0.3386774477928325, 0.03066467489288361, 0.12446331348684099, 0.015496098103014649, -0.016808262377701423, -0.0462130482584514, -0.06776628496903599, 0.08399634308405911, 0.2430468023116528, 0.1430547592540582, 0.2634676581662562, -0.32806478053745297, -0.250914795572559, 0.07732245054751359, 0.13746564980527318, 0.09889948451115439, -0.042358394399181834, -0.2675565236144596, 0.12577778863272182, -0.16973470493599221, -0.007968904378099575, 0.009050127863021637, -0.05758309303955347, 0.009690825287597599, -0.3465114218355329, 0.07314136021218642, 0.08317610454159202, -0.009369111026602763, -0.046227852825972214, -0.1256756476799233, 0.022884189251258416, 0.12359872962934551, -0.0008402456770892497, 0.07381063167316218, 0.07952091051265597, -0.08070459772867185, -0.11750561676238215, 0.3453981161945396, -0.07760852712241036, -0.26352992380658785, 0.1408281080851642, -0.09904828719725764, -0.06154152785764179, 0.17484241539129505, 0.18952646460384132, 0.06437893463643612, -0.1651952677992759, 0.07063942092079539, -0.05869526442968183, 0.26310671159514676, 0.04863530607997543, 0.0728510848660436, 0.14867038173876979, 0.1665095961963137, 0.0772750794818556, 0.1695463933042009, -0.1288357947340787, -0.10388993932003224, -0.3035075823948891, -0.09699512658278561, -0.23656215626332494, -0.002869627960953275, -0.10420963810735244, -0.1328363861580362, 0.3594412196841505, 0.11668454295507184, 0.14187779000235928, 0.1178880475194159, 0.32794214874781946, 0.1356351315561268, 0.028617864553989084, 0.15284117863479035, 0.2187861959139506, 0.13909507911755806, 0.027595622972499026, -0.20833789575672537, 0.10565301887346086, 0.008479214645922184] |
710.195 | A radiation condition for uniqueness in a wave propagation problem for
2-D open waveguides | We study the uniqueness of solutions of Helmholtz equation for a problem that
concerns wave propagation in waveguides. The classical radiation condition does
not apply to our problem because the inhomogeneity of the index of refraction
extends to infinity in one direction. Also, because of the presence of a
waveguide, some waves propagate in one direction with different propagation
constants and without decaying in amplitude.
Our main result provides an explicit condition for uniqueness which takes
into account the physically significant components, corresponding to guided and
non-guided waves; this condition reduces to the classical Sommerfeld-Rellich
condition in the relevant cases.
Finally, we also show that our condition is satisfied by a solution, already
present in literature, of the problem under consideration.
| math.AP | we study the uniqueness of solutions of helmholtz equation for a problem that concerns wave propagation in waveguides the classical radiation condition does not apply to our problem because the inhomogeneity of the index of refraction extends to infinity in one direction also because of the presence of a waveguide some waves propagate in one direction with different propagation constants and without decaying in amplitude our main result provides an explicit condition for uniqueness which takes into account the physically significant components corresponding to guided and nonguided waves this condition reduces to the classical sommerfeldrellich condition in the relevant cases finally we also show that our condition is satisfied by a solution already present in literature of the problem under consideration | [['we', 'study', 'the', 'uniqueness', 'of', 'solutions', 'of', 'helmholtz', 'equation', 'for', 'a', 'problem', 'that', 'concerns', 'wave', 'propagation', 'in', 'waveguides', 'the', 'classical', 'radiation', 'condition', 'does', 'not', 'apply', 'to', 'our', 'problem', 'because', 'the', 'inhomogeneity', 'of', 'the', 'index', 'of', 'refraction', 'extends', 'to', 'infinity', 'in', 'one', 'direction', 'also', 'because', 'of', 'the', 'presence', 'of', 'a', 'waveguide', 'some', 'waves', 'propagate', 'in', 'one', 'direction', 'with', 'different', 'propagation', 'constants', 'and', 'without', 'decaying', 'in', 'amplitude', 'our', 'main', 'result', 'provides', 'an', 'explicit', 'condition', 'for', 'uniqueness', 'which', 'takes', 'into', 'account', 'the', 'physically', 'significant', 'components', 'corresponding', 'to', 'guided', 'and', 'nonguided', 'waves', 'this', 'condition', 'reduces', 'to', 'the', 'classical', 'sommerfeldrellich', 'condition', 'in', 'the', 'relevant', 'cases', 'finally', 'we', 'also', 'show', 'that', 'our', 'condition', 'is', 'satisfied', 'by', 'a', 'solution', 'already', 'present', 'in', 'literature', 'of', 'the', 'problem', 'under', 'consideration']] | [-0.1482515260420677, 0.09068028383877054, -0.08146008380352199, 0.04304285467985798, -0.121301900935868, -0.1022262820668769, 0.011162104208351058, 0.33376315560880576, -0.2707296237153854, -0.25491279241151543, 0.1023574184368075, -0.23575637009979947, -0.14049231075630875, 0.2160421862274784, -0.03902969356164524, 0.03919190556562247, 0.08589164876308636, 0.018017626312725684, -0.035618945357522795, -0.19705226532371417, 0.347332115919024, 0.017714492141214365, 0.2927887603530989, 0.11383313068703302, 0.10193160298219764, 0.023426197277491585, 0.022262600900120093, 0.000618586734537316, -0.14065701669503194, 0.0647846861368734, 0.20692422819918632, 0.10876473854363167, 0.28603685743511975, -0.4540551407653995, -0.25883541614631145, 0.09454809850817468, 0.16742038238449258, 0.15291111976076543, -0.05266596116869077, -0.2682159431474362, 0.09714896728073348, -0.07922894218858301, -0.21045348194952146, 0.009838583722648, -0.0027841520495712757, 0.0018590483364469114, -0.27970890768514084, 0.09953217351165436, 0.1283299788879622, -0.03333279709996922, -0.12589425131279444, -0.058026412143880705, 0.003326706257609635, 0.08406498513239272, 0.11850281975999036, -0.01635077625254811, 0.033892082909372546, -0.13376585217075376, -0.06262455609071405, 0.3941764137198945, -0.06380085374019305, -0.26873222111622574, 0.14556207076231598, -0.13375748846310137, -0.10345966984838748, 0.13719738279508442, 0.16330925781600678, 0.10739730319649983, -0.11889531477080549, 0.07353477026903298, -0.047738151425107365, 0.1625625079951617, 0.11919517939550285, 0.023921872144799773, 0.1356297469377017, 0.09665944281292438, 0.10754226141225522, 0.18413763986743925, -0.023097789408091235, -0.07194414702361497, -0.3641123168733941, -0.17171087870843896, -0.13097483520356923, 0.025800272194813435, -0.09019056048626746, -0.17585687959926719, 0.4120661073732151, 0.19996471196596957, 0.16539034424271404, 0.042421387603404706, 0.2944797782399574, 0.16097461629733287, 0.02793301237324456, 0.08120597469690843, 0.2872124710132489, 0.16257991681380213, 0.11713178107170623, -0.1968147577287457, 0.04655282655261269, 0.054782298256588334] |
710.1951 | Simulation of Tau Decays in the Herwig++ Event Generator | We describe the simulation of tau decays in the Herwig++ event generator,
which includes sophisticated modelling of the hadronic currents and full
treatment of spin correlation effects. The structure of the simulation makes it
easy to add new models of tau decay,change the parameters of the existing
models, and use the models from tau decay for the decay of other particles. The
results are compared in detail with an existing simulation, and the benefits of
the new structure are illustrated by considering the decay of the lightest
chargino to the lightest neutralino in Anomaly-Mediated SUSY-Breaking models.
| hep-ph | we describe the simulation of tau decays in the herwig event generator which includes sophisticated modelling of the hadronic currents and full treatment of spin correlation effects the structure of the simulation makes it easy to add new models of tau decaychange the parameters of the existing models and use the models from tau decay for the decay of other particles the results are compared in detail with an existing simulation and the benefits of the new structure are illustrated by considering the decay of the lightest chargino to the lightest neutralino in anomalymediated susybreaking models | [['we', 'describe', 'the', 'simulation', 'of', 'tau', 'decays', 'in', 'the', 'herwig', 'event', 'generator', 'which', 'includes', 'sophisticated', 'modelling', 'of', 'the', 'hadronic', 'currents', 'and', 'full', 'treatment', 'of', 'spin', 'correlation', 'effects', 'the', 'structure', 'of', 'the', 'simulation', 'makes', 'it', 'easy', 'to', 'add', 'new', 'models', 'of', 'tau', 'decaychange', 'the', 'parameters', 'of', 'the', 'existing', 'models', 'and', 'use', 'the', 'models', 'from', 'tau', 'decay', 'for', 'the', 'decay', 'of', 'other', 'particles', 'the', 'results', 'are', 'compared', 'in', 'detail', 'with', 'an', 'existing', 'simulation', 'and', 'the', 'benefits', 'of', 'the', 'new', 'structure', 'are', 'illustrated', 'by', 'considering', 'the', 'decay', 'of', 'the', 'lightest', 'chargino', 'to', 'the', 'lightest', 'neutralino', 'in', 'anomalymediated', 'susybreaking', 'models']] | [-0.050868979606189225, 0.1710850259621542, -0.05549432492667907, 0.15508988074664223, -0.052385856956243516, -0.12085919565472164, -0.020621349095170827, 0.3406477783316452, -0.25619523021894947, -0.29627362317160555, 0.054645413423790354, -0.29098415864925636, -0.0377123534287277, 0.18184300341128715, 0.06786273656118857, 0.08110722446520077, 0.11837356494935719, 0.004777516365835541, -0.08600095084770337, -0.2140220580573537, 0.28976240597273173, 0.09230710052345928, 0.19173790480647432, 0.04613448179474002, 0.0259617247275616, -0.006391110869222566, -0.08773327683049598, -0.08599251641058608, -0.14282499122384348, 0.08686371752502102, 0.12936598557295695, 0.1284060606953541, 0.12048767737946228, -0.40252811619644296, -0.17544943371689634, 0.10951048678865558, 0.13532391980682548, 0.09225232013176489, -0.040200137219538815, -0.3190809087729768, 0.07937243795512539, -0.2372359002352153, -0.07980918350482458, -0.07751008197910299, -0.032562508394843655, -0.01210298211754937, -0.32263548183622526, 0.10255746050296645, -0.006716554479575471, -0.012087740680496943, -0.023536326255845397, -0.17926554636735664, -0.06950828038940304, 0.11801940327216136, 0.16614521145820618, -0.04512869820586945, 0.13671412230714372, -0.18462482129076593, -0.18965349999979433, 0.39735772299923394, -0.0637396501181157, -0.20838091009492546, 0.20021907844041523, -0.11899879761530381, -0.14124689086487419, 0.15234757489279696, 0.19166865063537109, 0.12644278923735808, -0.14508923189837095, 0.15198100447274843, 0.004445445655207885, 0.15189647984347845, -0.03331106492122145, 0.03128560154061569, 0.20347856838060052, 0.25870811625530843, -0.021898166923538635, 0.12814327559103014, -0.09432246831711381, -0.11821231477354702, -0.3908244280438674, -0.14440405784468902, -0.08048951848115968, 0.0071814131469612845, -0.07139415259574124, -0.13078784222077383, 0.4534567146709091, 0.17952523062887946, 0.20294035136895744, 0.06198520237751501, 0.3410414496632783, 0.06560312637961224, 0.09624753904675967, 0.03928063483418603, 0.27263928316533564, 0.14317015367069919, 0.08447596183242767, -0.2597999340683026, 0.05399223841775797, 0.026888204233622863] |
710.1952 | Global neutrino parameter estimation using Markov Chain Monte Carlo | We present a Markov Chain Monte Carlo global analysis of neutrino parameters
using both cosmological and experimental data. Results are presented for the
combination of all presently available data from oscillation experiments,
cosmology, and neutrinoless double beta decay. In addition we explicitly study
the interplay between cosmological, tritium decay and neutrinoless double beta
decay data in determining the neutrino mass parameters. We furthermore discuss
how the inference of non-neutrino cosmological parameters can benefit from
future neutrino mass experiments such as the KATRIN tritium decay experiment or
neutrinoless double beta decay experiments.
| hep-ph astro-ph | we present a markov chain monte carlo global analysis of neutrino parameters using both cosmological and experimental data results are presented for the combination of all presently available data from oscillation experiments cosmology and neutrinoless double beta decay in addition we explicitly study the interplay between cosmological tritium decay and neutrinoless double beta decay data in determining the neutrino mass parameters we furthermore discuss how the inference of nonneutrino cosmological parameters can benefit from future neutrino mass experiments such as the katrin tritium decay experiment or neutrinoless double beta decay experiments | [['we', 'present', 'a', 'markov', 'chain', 'monte', 'carlo', 'global', 'analysis', 'of', 'neutrino', 'parameters', 'using', 'both', 'cosmological', 'and', 'experimental', 'data', 'results', 'are', 'presented', 'for', 'the', 'combination', 'of', 'all', 'presently', 'available', 'data', 'from', 'oscillation', 'experiments', 'cosmology', 'and', 'neutrinoless', 'double', 'beta', 'decay', 'in', 'addition', 'we', 'explicitly', 'study', 'the', 'interplay', 'between', 'cosmological', 'tritium', 'decay', 'and', 'neutrinoless', 'double', 'beta', 'decay', 'data', 'in', 'determining', 'the', 'neutrino', 'mass', 'parameters', 'we', 'furthermore', 'discuss', 'how', 'the', 'inference', 'of', 'nonneutrino', 'cosmological', 'parameters', 'can', 'benefit', 'from', 'future', 'neutrino', 'mass', 'experiments', 'such', 'as', 'the', 'katrin', 'tritium', 'decay', 'experiment', 'or', 'neutrinoless', 'double', 'beta', 'decay', 'experiments']] | [-0.009972472870236284, 0.24298735727955187, -0.010235733117212306, 0.19867482626872077, -0.06342975507173074, -0.15859670578348603, 0.053596005332400345, 0.34231609122438744, -0.2623448319282833, -0.2875320654167988, 0.09274712382754373, -0.33170456698184814, -0.04679589025973046, 0.2772855468652119, 0.16047421148927002, 0.12290989006818323, 0.1502905971882593, -0.019121690663498836, -0.12018732421719315, -0.21359162251618538, 0.2893969453666564, 0.19982947737162748, 0.20453360959744224, 0.03740780942326227, 0.01733111174505941, -0.036427961876052996, -0.10769783956725355, -0.1417494569802759, -0.2707454317430377, -0.006135807916327574, 0.22024593058881442, 0.18638861899847511, 0.11897379500730025, -0.38374743798931876, -0.13084212613834456, 0.19422116897140557, 0.17841608824904312, 0.06939667499122712, -0.17040406354283402, -0.31226780052695957, 0.005664773481759846, -0.217607254561569, -0.08727848843497397, -0.10160676408354398, -0.0941477960262161, 0.039457273145032286, -0.35714715918792145, 0.08664118483979869, -0.12564329235497249, -0.03337379193936403, -0.027826275405279554, -0.19888367301242038, 0.08777679355589899, 0.126799810961769, 0.17028563304747976, -0.052640678271507986, 0.19277146476279985, -0.10521425298609577, -0.15622120565583847, 0.32296718205683506, -0.1248319558773681, -0.13183962005692032, 0.05352455628575287, -0.21734892410625303, -0.18368823030595105, 0.09525491786445235, 0.12689049145882272, 0.04616570865714943, -0.18690467612551792, 0.1638485479947681, -0.03145693430349558, 0.2175309112049885, 0.019211145616801723, 0.0021605609690995664, 0.26966068916186525, 0.28520306284733854, 0.018820452304290875, -0.018926366782429944, -0.19498540806535447, -0.060428899441651265, -0.402376763850123, -0.12942044757393567, -0.0866541774894858, 0.0780449635106149, -0.07034659964895351, -0.14147478071870384, 0.38589586048376756, 0.119894237007769, 0.13741414166045385, 0.02635413922041982, 0.28597133709015427, 0.011651833847441435, 0.03201821387571457, -0.04931291668665606, 0.28915693965013867, 0.14308120502711652, 0.07841227611956689, -0.34672100451559973, 0.030828935599496978, 0.03544662460418684] |
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