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711.1608 | In Ehresmann's footsteps: from Group Geometries to Groupoid Geometries | For a smooth (locally trivial) principal bundle in Ehresmann's sense, the
relation between the commuting vertical and horizontal actions of the
structural Lie group and the structural Lie groupoid (isomorphisms between
vertical fibers) is regarded as a special case of a symmetrical concept of
conjugation between "principal" Lie groupoid actions, allowing possibly
non-locally trivial bundles. A diagrammatic description of this concept via a
symmetric "butterfly diagram" allows its "internalization" in a wide class of
categories (used by "working mathematicians") whenever they are endowed with
two distinguished classes of monomorphisms and epimorphisms mimicking the
properties of embeddings and surjective submersions. As an application, a
general theorem of "universal activation" encompasses in a unified way such
various situations as Palais' theory of globalization for partial action laws,
the realization of non-abelian cocycles (including Haefliger cocycles for
foliations) or the description of the "homogeneous space" attached to an
embedding of Lie groups (still valid for Lie groupoids).
| math.DG math.CT | for a smooth locally trivial principal bundle in ehresmanns sense the relation between the commuting vertical and horizontal actions of the structural lie group and the structural lie groupoid isomorphisms between vertical fibers is regarded as a special case of a symmetrical concept of conjugation between principal lie groupoid actions allowing possibly nonlocally trivial bundles a diagrammatic description of this concept via a symmetric butterfly diagram allows its internalization in a wide class of categories used by working mathematicians whenever they are endowed with two distinguished classes of monomorphisms and epimorphisms mimicking the properties of embeddings and surjective submersions as an application a general theorem of universal activation encompasses in a unified way such various situations as palais theory of globalization for partial action laws the realization of nonabelian cocycles including haefliger cocycles for foliations or the description of the homogeneous space attached to an embedding of lie groups still valid for lie groupoids | [['for', 'a', 'smooth', 'locally', 'trivial', 'principal', 'bundle', 'in', 'ehresmanns', 'sense', 'the', 'relation', 'between', 'the', 'commuting', 'vertical', 'and', 'horizontal', 'actions', 'of', 'the', 'structural', 'lie', 'group', 'and', 'the', 'structural', 'lie', 'groupoid', 'isomorphisms', 'between', 'vertical', 'fibers', 'is', 'regarded', 'as', 'a', 'special', 'case', 'of', 'a', 'symmetrical', 'concept', 'of', 'conjugation', 'between', 'principal', 'lie', 'groupoid', 'actions', 'allowing', 'possibly', 'nonlocally', 'trivial', 'bundles', 'a', 'diagrammatic', 'description', 'of', 'this', 'concept', 'via', 'a', 'symmetric', 'butterfly', 'diagram', 'allows', 'its', 'internalization', 'in', 'a', 'wide', 'class', 'of', 'categories', 'used', 'by', 'working', 'mathematicians', 'whenever', 'they', 'are', 'endowed', 'with', 'two', 'distinguished', 'classes', 'of', 'monomorphisms', 'and', 'epimorphisms', 'mimicking', 'the', 'properties', 'of', 'embeddings', 'and', 'surjective', 'submersions', 'as', 'an', 'application', 'a', 'general', 'theorem', 'of', 'universal', 'activation', 'encompasses', 'in', 'a', 'unified', 'way', 'such', 'various', 'situations', 'as', 'palais', 'theory', 'of', 'globalization', 'for', 'partial', 'action', 'laws', 'the', 'realization', 'of', 'nonabelian', 'cocycles', 'including', 'haefliger', 'cocycles', 'for', 'foliations', 'or', 'the', 'description', 'of', 'the', 'homogeneous', 'space', 'attached', 'to', 'an', 'embedding', 'of', 'lie', 'groups', 'still', 'valid', 'for', 'lie', 'groupoids']] | [-0.20199668255344325, 0.1056407603868752, -0.08046803714453497, 0.07788382334537901, -0.15055617540107144, -0.15091270080453098, 0.0035633034059209387, 0.3878750089471313, -0.3495552503661095, -0.19953610337424008, 0.07494364102755056, -0.20095318446531907, -0.17887352244450722, 0.22591027839626368, -0.14857777530877767, -0.041555512388457554, 0.031019472260052312, 0.11084892996586859, -0.13064922865097678, -0.17149444507561962, 0.41640701491760646, -0.030543187152376618, 0.270295689125884, -0.006519428517838771, 0.1348644176773219, 0.016927124439533075, -0.013641389494296163, 0.025223939458638513, -0.11155265175991437, 0.13579123157761422, 0.3351885654249942, 0.02965657783947377, 0.2094395288701665, -0.3583645411621924, -0.16192453204013116, 0.16066550993808099, 0.09270788527731844, 0.008983444023345197, -0.014523034718782678, -0.3363347769754201, 0.05344889025119218, -0.20031042653135955, -0.14780367084464371, -0.09512707266123896, 0.06506527629499505, 0.0009955884284013278, -0.18879468923180617, 0.013442650779041571, 0.14531821921996374, 0.15547066064122098, -0.0897535466677479, -0.015593433912916036, -0.1011670856568781, 0.16207447578350395, -0.02370080096169387, 0.0025465827784501016, 0.16248329430999983, -0.08694241972422445, -0.15137761439477976, 0.41759345980433676, -0.04124426228060786, -0.23188958239632768, 0.17678980439615605, -0.10409106816431242, -0.18661761669755397, 0.10310616080918313, 0.07593365057292939, 0.14730944373499746, -0.07736553012543848, 0.1481718075228855, -0.09678736711888537, 0.0212631029093505, 0.08783069168604524, 0.013631832040921943, 0.17769261436422004, 0.12094280659825868, 0.10611276093918781, 0.1094388187161417, 0.06519145565107465, -0.07967652044525105, -0.3785959336310988, -0.20641150126874738, -0.03955381494106169, 0.14014247153710283, -0.10317674805708804, -0.21808046734190317, 0.40354527864762424, 0.026740691821127163, 0.19675743982026522, 0.10878304576266151, 0.20265949932199165, 0.020807575936392916, 0.0763383738726057, 0.02048757308549792, 0.12764084830883188, 0.2986067484039209, -0.01626283604071125, -0.08854220567313446, -0.04568120019809742, 0.19753112448016544] |
711.1609 | A conjugate prior for discrete hierarchical log-linear models | In Bayesian analysis of multi-way contingency tables, the selection of a
prior distribution for either the log-linear parameters or the cell
probabilities parameters is a major challenge. In this paper, we define a
flexible family of conjugate priors for the wide class of discrete hierarchical
log-linear models, which includes the class of graphical models. These priors
are defined as the Diaconis--Ylvisaker conjugate priors on the log-linear
parameters subject to "baseline constraints" under multinomial sampling. We
also derive the induced prior on the cell probabilities and show that the
induced prior is a generalization of the hyper Dirichlet prior. We show that
this prior has several desirable properties and illustrate its usefulness by
identifying the most probable decomposable, graphical and hierarchical
log-linear models for a six-way contingency table.
| math.ST stat.TH | in bayesian analysis of multiway contingency tables the selection of a prior distribution for either the loglinear parameters or the cell probabilities parameters is a major challenge in this paper we define a flexible family of conjugate priors for the wide class of discrete hierarchical loglinear models which includes the class of graphical models these priors are defined as the diaconisylvisaker conjugate priors on the loglinear parameters subject to baseline constraints under multinomial sampling we also derive the induced prior on the cell probabilities and show that the induced prior is a generalization of the hyper dirichlet prior we show that this prior has several desirable properties and illustrate its usefulness by identifying the most probable decomposable graphical and hierarchical loglinear models for a sixway contingency table | [['in', 'bayesian', 'analysis', 'of', 'multiway', 'contingency', 'tables', 'the', 'selection', 'of', 'a', 'prior', 'distribution', 'for', 'either', 'the', 'loglinear', 'parameters', 'or', 'the', 'cell', 'probabilities', 'parameters', 'is', 'a', 'major', 'challenge', 'in', 'this', 'paper', 'we', 'define', 'a', 'flexible', 'family', 'of', 'conjugate', 'priors', 'for', 'the', 'wide', 'class', 'of', 'discrete', 'hierarchical', 'loglinear', 'models', 'which', 'includes', 'the', 'class', 'of', 'graphical', 'models', 'these', 'priors', 'are', 'defined', 'as', 'the', 'diaconisylvisaker', 'conjugate', 'priors', 'on', 'the', 'loglinear', 'parameters', 'subject', 'to', 'baseline', 'constraints', 'under', 'multinomial', 'sampling', 'we', 'also', 'derive', 'the', 'induced', 'prior', 'on', 'the', 'cell', 'probabilities', 'and', 'show', 'that', 'the', 'induced', 'prior', 'is', 'a', 'generalization', 'of', 'the', 'hyper', 'dirichlet', 'prior', 'we', 'show', 'that', 'this', 'prior', 'has', 'several', 'desirable', 'properties', 'and', 'illustrate', 'its', 'usefulness', 'by', 'identifying', 'the', 'most', 'probable', 'decomposable', 'graphical', 'and', 'hierarchical', 'loglinear', 'models', 'for', 'a', 'sixway', 'contingency', 'table']] | [-0.041388297746852626, 0.026162501395218016, -0.049163709218635804, 0.0937288671027957, -0.15809950924764468, -0.13500884739960742, 0.09179099060422705, 0.421148594586164, -0.2975683307420008, -0.302163172733244, 0.09859416572795081, -0.1923199924026198, -0.16609721492396623, 0.14110868942637847, -0.10077042939273391, 0.10005285196954121, 0.0778157521629574, 0.032294417947794744, -0.1140669664811695, -0.24547089969255323, 0.34044032742628666, 0.06436306330206709, 0.2889773310290459, -0.06462468478808502, 0.13350228232874234, 0.026561215490572096, -0.0771370912484062, -0.023165343695972847, -0.17584577196620965, 0.14793465585689844, 0.22001701668584897, 0.19299066335872167, 0.2925616517721668, -0.3432779529784608, -0.2901983165849499, 0.17083346207926828, 0.08637132338710188, 0.05352745495102273, -0.009152296875552164, -0.2497701400993612, 0.05034474122858658, -0.21827726596695973, -0.035899609719645086, -0.1006583751978602, -0.017028553341698692, 0.07384819050565157, -0.36764401997124235, 0.06742378950323433, 0.13146464916782116, 0.050686913051694725, -0.031654443332419444, -0.20976760839735428, -0.0163751128569656, 0.05811082357430728, 0.018127671490592048, -0.054620672189667235, 0.09612008425458445, -0.13605279068088555, -0.10896250749498194, 0.3548859263322037, -0.014608562395973938, -0.2804871873020774, 0.14787888623715387, -0.040389714065909854, -0.2306766474626841, 0.044105237331763865, 0.19677624065707636, 0.10632308919760068, -0.1815140401856519, 0.09353397863112228, -0.0698403242726143, 0.12377627628056083, 0.04156651080578683, -0.05162000499929734, 0.21889233358908355, 0.18353855031300484, 0.04647423047205712, 0.15802277384443195, -0.13720013910453532, -0.12649616616682743, -0.29447188817228626, -0.11352472384936932, -0.17470758147244378, -0.0444640345774283, -0.16854729998903073, -0.23537014839862744, 0.41133692953002265, 0.14315907997409189, 0.23238923911401255, 0.10853926471790196, 0.24764157356841004, 0.07375074046623607, 0.05073462317763703, 0.052726259550417036, 0.12397684543723549, 0.1146534279751496, -0.009178611193233587, -0.12655371194063708, 0.16931496245977212, -0.004296195528315981] |
711.161 | Sums of dilates | The lambda-dilate of a set A is lambda*A={lambda a : a \in A}. We give an
asymptotically sharp lower bound on the size of sumsets of the form
lambda_1*A+...+lambda_k*A for arbitrary integers lambda_1,...,lambda_k and
integer sets A. We also establish an upper bound for such sums, which is
similar to, but often stronger than Plunnecke's inequality.
| math.NT math.CO | the lambdadilate of a set a is lambdaalambda a a in a we give an asymptotically sharp lower bound on the size of sumsets of the form lambda_1alambda_ka for arbitrary integers lambda_1lambda_k and integer sets a we also establish an upper bound for such sums which is similar to but often stronger than plunneckes inequality | [['the', 'lambdadilate', 'of', 'a', 'set', 'a', 'is', 'lambdaalambda', 'a', 'a', 'in', 'a', 'we', 'give', 'an', 'asymptotically', 'sharp', 'lower', 'bound', 'on', 'the', 'size', 'of', 'sumsets', 'of', 'the', 'form', 'lambda_1alambda_ka', 'for', 'arbitrary', 'integers', 'lambda_1lambda_k', 'and', 'integer', 'sets', 'a', 'we', 'also', 'establish', 'an', 'upper', 'bound', 'for', 'such', 'sums', 'which', 'is', 'similar', 'to', 'but', 'often', 'stronger', 'than', 'plunneckes', 'inequality']] | [-0.1708604372380411, 0.1111196676941415, -0.1133172856004653, 0.12589407296321703, -0.03929031169151559, -0.11955345978996917, 0.09526571839609567, 0.2706324077740896, -0.21467920677626834, -0.29083343287564667, 0.1263788024890328, -0.2866605721395828, -0.12481967680265799, 0.270534363356145, -0.06425012082920648, 0.014238131506478085, -0.0030727202355788617, 0.1330362320421081, -0.06947288335775774, -0.27834753984329746, 0.290769618310436, -0.0042564810125851164, 0.21131176654906833, 0.10750630134534017, 0.04816537987733004, -0.039718305427288894, 0.07193093757857294, 0.03466395641147506, -0.1953867828181269, 0.1865368602322597, 0.19025098521481543, 0.11108929754289634, 0.2962895584310971, -0.39115267648708585, -0.10587931211636055, 0.17200422064200335, 0.15519390343779735, 0.10893933227349657, -0.059949892803606596, -0.22968443467135669, 0.1094179221374147, -0.110387593288632, -0.11265639538931496, -0.030760987241770708, 0.08892273307577067, 0.00832662322357589, -0.40267395673721446, 0.029958534907599838, 0.1507722383693737, 0.06213697260097308, -0.0755510271718616, -0.17207124154996492, 0.07244222744952376, 0.04766640142884617, -0.02710450010593323, 0.036467727778169014, -0.007723165539038532, -0.09557299535064136, -0.08776316651161395, 0.30423716977969106, -0.07405482868888807, -0.24111811341900452, 0.17168021443135598, -0.13929974988979452, -0.143594273201683, 0.09470918839774552, 0.17458963039897235, 0.1662939925331111, -0.08433207579632747, 0.08534317456217774, -0.18212584533966056, 0.1812360157057935, 0.10524598291764657, 0.08770996843482934, 0.12805619708024987, 0.10239965808303918, 0.2221681445508319, 0.21217682840777377, -0.010952362402652701, -0.0020637342012396046, -0.33363398644780995, -0.20451014048155106, -0.21273755915828196, 0.12517886261875724, -0.1592609387746551, -0.24804989993572235, 0.3119236306953883, 0.06074174353852868, 0.25575883998295895, 0.15779038571853043, 0.25726914515390115, 0.18002672124381278, 0.043492721941541225, 0.11930932157545113, 0.16053176831965352, 0.12938972566203744, -0.04864288538730904, -0.09583369296445858, 0.08248467200125258, 0.11474184142243044] |
711.1611 | The alternative approach to QCD analysis of the structure function
F2gamma | The alternative approach to QCD analysis of the structure function F2gamma is
presented. It differs from the conventional one by the presence of the terms,
which in conventional approach appear in higher orders. The numerical results
show that this difference is nonnegligible and may play an important role in
the analysis on photon data of the future experiments.
| hep-ph | the alternative approach to qcd analysis of the structure function f2gamma is presented it differs from the conventional one by the presence of the terms which in conventional approach appear in higher orders the numerical results show that this difference is nonnegligible and may play an important role in the analysis on photon data of the future experiments | [['the', 'alternative', 'approach', 'to', 'qcd', 'analysis', 'of', 'the', 'structure', 'function', 'f2gamma', 'is', 'presented', 'it', 'differs', 'from', 'the', 'conventional', 'one', 'by', 'the', 'presence', 'of', 'the', 'terms', 'which', 'in', 'conventional', 'approach', 'appear', 'in', 'higher', 'orders', 'the', 'numerical', 'results', 'show', 'that', 'this', 'difference', 'is', 'nonnegligible', 'and', 'may', 'play', 'an', 'important', 'role', 'in', 'the', 'analysis', 'on', 'photon', 'data', 'of', 'the', 'future', 'experiments']] | [-0.09073485666885972, 0.07158650618210934, -0.1107068668658796, 0.06691328602181257, -0.019732318655179257, -0.021379039606504273, -0.0032203702680897294, 0.3197403752097958, -0.2275486834216536, -0.3197053163802545, 0.0932866592928277, -0.306148416052262, -0.194024176124418, 0.24389467473354257, 0.003222981435165071, 0.001757050423245681, 0.075645336750568, 0.03351995988601917, -0.07319449762029476, -0.2290571118876534, 0.32921611588333916, 0.09449844238789458, 0.34408014849351165, 0.09580096400653322, 0.03942271137585569, 0.011744293016626647, -0.08532266420099818, 0.00432416956806392, -0.07546812974403126, 0.13798231118473045, 0.2500936179993707, 0.07463167554682545, 0.2608662698001258, -0.4094767930280221, -0.22961556602661548, 0.07877331436203237, 0.14325388787281618, 0.10666803872466021, -0.05555618576615591, -0.23664510635691777, 0.10597721258435693, -0.1587407955115563, -0.12005831382907274, -0.08551233189932086, -0.044632293055193464, -0.027605899952744182, -0.2537518549320419, 0.10605810275056253, 0.08432991163837805, -0.0023795078394182943, -0.02623726362199114, -0.15037594019974532, 0.018387269490120702, 0.11698442655043644, 0.08887162164932019, 0.06696798399156123, 0.10592754900030661, -0.15018958186224235, -0.14396192991223775, 0.4151567621973523, -0.08749810385664827, -0.19366179431151404, 0.1865787338955622, -0.13946641962811873, -0.10695545921886437, 0.12280165583810262, 0.14537844623912843, 0.12315425663990409, -0.0814191843801701, 0.04731719125482956, -0.03809118502887718, 0.15562629764246053, -0.0015625920056839262, 0.05440564532845951, 0.1994321046707531, 0.1860825632649817, 0.034458915082116924, 0.12222691828368656, -0.07072532298288454, -0.14317280498513005, -0.337503501197748, -0.140761925168989, -0.15418241197537436, 0.0030465629079436327, -0.11296931253884013, -0.11054202460013983, 0.3738444040349701, 0.2055099914442715, 0.18433851668643847, -0.058031469189333156, 0.3420495754271223, 0.18128848909972267, 0.10291780720938716, -0.0008705234351126771, 0.2994745568323292, 0.060082753572874424, 0.0943508278170045, -0.2469857647451327, 0.06900154022201732, 0.03235921221545268] |
711.1612 | Enhancing Sparsity by Reweighted L1 Minimization | It is now well understood that (1) it is possible to reconstruct sparse
signals exactly from what appear to be highly incomplete sets of linear
measurements and (2) that this can be done by constrained L1 minimization. In
this paper, we study a novel method for sparse signal recovery that in many
situations outperforms L1 minimization in the sense that substantially fewer
measurements are needed for exact recovery. The algorithm consists of solving a
sequence of weighted L1-minimization problems where the weights used for the
next iteration are computed from the value of the current solution. We present
a series of experiments demonstrating the remarkable performance and broad
applicability of this algorithm in the areas of sparse signal recovery,
statistical estimation, error correction and image processing. Interestingly,
superior gains are also achieved when our method is applied to recover signals
with assumed near-sparsity in overcomplete representations--not by reweighting
the L1 norm of the coefficient sequence as is common, but by reweighting the L1
norm of the transformed object. An immediate consequence is the possibility of
highly efficient data acquisition protocols by improving on a technique known
as compressed sensing.
| stat.ME math.ST stat.TH | it is now well understood that 1 it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements and 2 that this can be done by constrained l1 minimization in this paper we study a novel method for sparse signal recovery that in many situations outperforms l1 minimization in the sense that substantially fewer measurements are needed for exact recovery the algorithm consists of solving a sequence of weighted l1minimization problems where the weights used for the next iteration are computed from the value of the current solution we present a series of experiments demonstrating the remarkable performance and broad applicability of this algorithm in the areas of sparse signal recovery statistical estimation error correction and image processing interestingly superior gains are also achieved when our method is applied to recover signals with assumed nearsparsity in overcomplete representationsnot by reweighting the l1 norm of the coefficient sequence as is common but by reweighting the l1 norm of the transformed object an immediate consequence is the possibility of highly efficient data acquisition protocols by improving on a technique known as compressed sensing | [['it', 'is', 'now', 'well', 'understood', 'that', '1', 'it', 'is', 'possible', 'to', 'reconstruct', 'sparse', 'signals', 'exactly', 'from', 'what', 'appear', 'to', 'be', 'highly', 'incomplete', 'sets', 'of', 'linear', 'measurements', 'and', '2', 'that', 'this', 'can', 'be', 'done', 'by', 'constrained', 'l1', 'minimization', 'in', 'this', 'paper', 'we', 'study', 'a', 'novel', 'method', 'for', 'sparse', 'signal', 'recovery', 'that', 'in', 'many', 'situations', 'outperforms', 'l1', 'minimization', 'in', 'the', 'sense', 'that', 'substantially', 'fewer', 'measurements', 'are', 'needed', 'for', 'exact', 'recovery', 'the', 'algorithm', 'consists', 'of', 'solving', 'a', 'sequence', 'of', 'weighted', 'l1minimization', 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711.1613 | Weak Basis Transformations and Texture Zeros in the Leptonic Sector | We investigate the physical meaning of some of the texture zeros which appear
in most of the Ansatze on leptonic masses and their mixing. It is shown that
starting from arbitrary lepton mass matrices and making suitable weak basis
transformations one can obtain some of these sets of zeros, which therefore
have no physical content. We then analyse four-zero texture Ansatze where the
charged lepton and neutrino mass matrices have the same structure. The four
texture zeros cannot be obtained simultaneously through weak basis
transformations, so these Ansatze do have physical content. We show that they
can be separated into four classes and study the physical implications of each
class.
| hep-ph | we investigate the physical meaning of some of the texture zeros which appear in most of the ansatze on leptonic masses and their mixing it is shown that starting from arbitrary lepton mass matrices and making suitable weak basis transformations one can obtain some of these sets of zeros which therefore have no physical content we then analyse fourzero texture ansatze where the charged lepton and neutrino mass matrices have the same structure the four texture zeros cannot be obtained simultaneously through weak basis transformations so these ansatze do have physical content we show that they can be separated into four classes and study the physical implications of each class | [['we', 'investigate', 'the', 'physical', 'meaning', 'of', 'some', 'of', 'the', 'texture', 'zeros', 'which', 'appear', 'in', 'most', 'of', 'the', 'ansatze', 'on', 'leptonic', 'masses', 'and', 'their', 'mixing', 'it', 'is', 'shown', 'that', 'starting', 'from', 'arbitrary', 'lepton', 'mass', 'matrices', 'and', 'making', 'suitable', 'weak', 'basis', 'transformations', 'one', 'can', 'obtain', 'some', 'of', 'these', 'sets', 'of', 'zeros', 'which', 'therefore', 'have', 'no', 'physical', 'content', 'we', 'then', 'analyse', 'fourzero', 'texture', 'ansatze', 'where', 'the', 'charged', 'lepton', 'and', 'neutrino', 'mass', 'matrices', 'have', 'the', 'same', 'structure', 'the', 'four', 'texture', 'zeros', 'can', 'not', 'be', 'obtained', 'simultaneously', 'through', 'weak', 'basis', 'transformations', 'so', 'these', 'ansatze', 'do', 'have', 'physical', 'content', 'we', 'show', 'that', 'they', 'can', 'be', 'separated', 'into', 'four', 'classes', 'and', 'study', 'the', 'physical', 'implications', 'of', 'each', 'class']] | [-0.10005619431959113, 0.18148499344651764, -0.06338733405311096, 0.1287377203388878, -0.07480548298288439, -0.14328549631980356, 0.02232081629755395, 0.38255441075543295, -0.22950766132913764, -0.3016465286942417, 0.11691532335726561, -0.25759818120482, -0.13848143345718314, 0.1402965659235797, 0.03176381893304957, 0.07175022414948388, 0.03171694717529389, 0.02242062206858316, -0.17437101542416894, -0.25339197219550813, 0.37124661236649026, -0.05240018774654616, 0.2419054726021247, 0.052638260861607014, 0.07386436828974265, -0.049160745903128036, -0.057141105304598004, -0.032483432356998125, -0.06586453995338604, 0.05101441458572407, 0.2015744990392311, 0.1635459148501222, 0.1286429387815129, -0.41307860470234276, -0.17534666880126204, 0.1690068622581191, 0.1743787924154989, 0.10770282540512313, -0.05513635607172005, -0.2765614661463612, 0.0976919318918508, -0.14763203523801388, -0.11745074120778087, -0.1379261701074135, -0.016250397684891615, 0.011457423820068036, -0.28352690466967, 0.02974696278672766, 0.028003678354015155, 0.0059238090305715, -0.0504171367659158, -0.19077702202238478, -0.08601514230113107, 0.14696562353118853, 0.11332687379599356, -0.07427896145596966, 0.10638379840272572, -0.11116425372945431, -0.08570916110414777, 0.40760354556747386, 0.012203702659069284, -0.2867151766864432, 0.20072214413425876, -0.18760486440061852, -0.1715754919500837, 0.06789912832355513, 0.15459752419275474, 0.09482948640613137, -0.21097643035810087, 0.09316768417311078, -0.1270967497960203, 0.14423751506560087, 0.10924872319709074, 0.08731635120751856, 0.28610519301314075, 0.08373493798127449, 0.02726625203918498, 0.05237444944948227, -0.06105269750303312, -0.04498724058807433, -0.3045621826774902, -0.14206737190954857, -0.14219003491342772, 0.0831508558299361, -0.11257359790269637, -0.15271044550290508, 0.4566745168554622, 0.16096464634730337, 0.2551486065258851, 0.003924845061306884, 0.21416476582017568, 0.0936546618080077, 0.11866995272528683, 0.042417607010082084, 0.23993764773508333, 0.11688446724233595, 0.06055498349706869, -0.16497880792421465, 0.056167467907889165, 0.09467400983814989] |
711.1614 | Microlensing Searches for Planets: Results and Future Prospects | Microlensing is potentially sensitive to multiple-planet systems containing
analogs of all the solar system planets except Mercury, as well as to free
floating planets. I review the landscape of microlensing planet searches,
beginning with an outline of the method itself, and continuing with an overview
of the results that have been obtained to date. Four planets have been detected
with microlensing. I discuss what these detections have taught us about the
frequency of terrestrial and giant planets with separations beyond the ``snow
line.'' I then discuss the near and long-term prospects for microlensing planet
searches, and in particular speculate on the expected returns of
next-generation microlensing experiments both from the ground and from space.
When combined with the results from other complementary surveys, next
generation microlensing surveys can yield an accurate and complete census of
the frequency and properties of essentially all planets with masses greater
than that of Mars.
| astro-ph | microlensing is potentially sensitive to multipleplanet systems containing analogs of all the solar system planets except mercury as well as to free floating planets i review the landscape of microlensing planet searches beginning with an outline of the method itself and continuing with an overview of the results that have been obtained to date four planets have been detected with microlensing i discuss what these detections have taught us about the frequency of terrestrial and giant planets with separations beyond the snow line i then discuss the near and longterm prospects for microlensing planet searches and in particular speculate on the expected returns of nextgeneration microlensing experiments both from the ground and from space when combined with the results from other complementary surveys next generation microlensing surveys can yield an accurate and complete census of the frequency and properties of essentially all planets with masses greater than that of mars | [['microlensing', 'is', 'potentially', 'sensitive', 'to', 'multipleplanet', 'systems', 'containing', 'analogs', 'of', 'all', 'the', 'solar', 'system', 'planets', 'except', 'mercury', 'as', 'well', 'as', 'to', 'free', 'floating', 'planets', 'i', 'review', 'the', 'landscape', 'of', 'microlensing', 'planet', 'searches', 'beginning', 'with', 'an', 'outline', 'of', 'the', 'method', 'itself', 'and', 'continuing', 'with', 'an', 'overview', 'of', 'the', 'results', 'that', 'have', 'been', 'obtained', 'to', 'date', 'four', 'planets', 'have', 'been', 'detected', 'with', 'microlensing', 'i', 'discuss', 'what', 'these', 'detections', 'have', 'taught', 'us', 'about', 'the', 'frequency', 'of', 'terrestrial', 'and', 'giant', 'planets', 'with', 'separations', 'beyond', 'the', 'snow', 'line', 'i', 'then', 'discuss', 'the', 'near', 'and', 'longterm', 'prospects', 'for', 'microlensing', 'planet', 'searches', 'and', 'in', 'particular', 'speculate', 'on', 'the', 'expected', 'returns', 'of', 'nextgeneration', 'microlensing', 'experiments', 'both', 'from', 'the', 'ground', 'and', 'from', 'space', 'when', 'combined', 'with', 'the', 'results', 'from', 'other', 'complementary', 'surveys', 'next', 'generation', 'microlensing', 'surveys', 'can', 'yield', 'an', 'accurate', 'and', 'complete', 'census', 'of', 'the', 'frequency', 'and', 'properties', 'of', 'essentially', 'all', 'planets', 'with', 'masses', 'greater', 'than', 'that', 'of', 'mars']] | [-0.07047855364779632, 0.12272625638744405, -0.046073926224683724, 0.06053279470885173, -0.12596589473541825, -0.06354262800266346, 0.036290909863697984, 0.33130377776455133, -0.15779551416635512, -0.3566294338278628, 0.13589745603113745, -0.3276450688702365, -0.13219718221885463, 0.2820402058803787, -0.04003146672000488, 0.049961440246552226, 0.1448941726765285, -0.028625633836102983, -0.03505630641981649, -0.2847077481324474, 0.27715426807291804, 0.093598824099948, 0.07006862598781784, 0.004575663122038046, 0.026358926442141335, -0.041018901729645826, -0.07821834940463304, -0.01910619571824403, -0.19711603710165945, 0.0824342303040127, 0.2493529242835939, 0.19707537757543225, 0.18861034230329096, -0.3958778723826011, -0.19824568089097738, 0.08625699651117126, 0.142123666331172, 0.07028093839064241, -0.04070779561336773, -0.328484819411921, 0.07288979272202899, -0.18470837672396254, -0.16504707748846462, -0.015417173653841019, 0.07640530017515024, 0.06703388378024101, -0.2088875812664628, 0.00127531996772935, 0.03765265602385625, 0.13426404300301026, -0.10593373105861247, -0.17286926844079667, -0.03849685691297054, 0.1224485874635866, 0.056504176151550685, 0.004744619450842341, 0.12787917196789447, -0.12193370649901529, -0.12049623561091721, 0.43893826415141424, -0.10811408775945892, -0.03201482401539882, 0.25731886620633304, -0.25220040558682133, -0.14492579839192332, 0.13101649889412026, 0.1897603814327158, 0.13072742973764737, -0.16065438302592763, 0.00480867371467563, 0.0008454866552104552, 0.18131040757521988, 0.08610637088461469, 0.08588440063099066, 0.4065402137115598, 0.1669308954818795, 0.11773441033903509, 0.03980845813678267, -0.2291622958285734, -0.05967013512427608, -0.22836723099462689, -0.14495631996610125, -0.14407202487501006, 0.04967065623961389, -0.04745667106442852, -0.11451723373805484, 0.35808466193266214, 0.20568469625276825, 0.17258901828279097, 0.0477896290513066, 0.30504965339399254, 0.06884709428840627, 0.11698434413410723, 0.032520608745981006, 0.3439307308445374, 0.06772045421103637, 0.08256798720918596, -0.18945825145424655, 0.08217413662622372, -0.030796775091439486] |
711.1615 | Homomorphisms of abelian varieties over finite fields | These are notes of my lectures at the summer school "Higher-dimensional
geometry over finite fields" in Goettingen, June--July 2007.
We present a proof of Tate's theorem on homomorphisms of abelian varieties
over finite fields (including the $\ell=p$ case) that is based on a "quaternion
trick". In fact, a a slightly stronger version of those theorems with "finite
coefficients" is proven.
| math.AG math.NT | these are notes of my lectures at the summer school higherdimensional geometry over finite fields in goettingen junejuly 2007 we present a proof of tates theorem on homomorphisms of abelian varieties over finite fields including the ellp case that is based on a quaternion trick in fact a a slightly stronger version of those theorems with finite coefficients is proven | [['these', 'are', 'notes', 'of', 'my', 'lectures', 'at', 'the', 'summer', 'school', 'higherdimensional', 'geometry', 'over', 'finite', 'fields', 'in', 'goettingen', 'junejuly', '2007', 'we', 'present', 'a', 'proof', 'of', 'tates', 'theorem', 'on', 'homomorphisms', 'of', 'abelian', 'varieties', 'over', 'finite', 'fields', 'including', 'the', 'ellp', 'case', 'that', 'is', 'based', 'on', 'a', 'quaternion', 'trick', 'in', 'fact', 'a', 'a', 'slightly', 'stronger', 'version', 'of', 'those', 'theorems', 'with', 'finite', 'coefficients', 'is', 'proven']] | [-0.12774544383088748, 0.14830088871531188, -0.19124506392981858, 0.07339059737278149, -0.10320629688600699, -0.12621550774977852, -0.02526080203630651, 0.2979662851740917, -0.1937876964608828, -0.24051299983014662, 0.16055255479101713, -0.2442267221941923, -0.12105232276953756, 0.2718610746785998, -0.1960107731943329, -0.0843106754667436, 0.06254619516742727, 0.058503863184402385, -0.10890746989753097, -0.40864449233631606, 0.33185531022027137, 0.007132572370270888, 0.2721775031493356, 0.08855104760732502, 0.1389475611659388, 0.0602608173697566, -0.07814963931838671, -0.016290906283150736, -0.1308360910864091, 0.1397975387206922, 0.32914396887645125, 0.02917149114461305, 0.2664694110086809, -0.38637178589900334, -0.13701589102856815, 0.11215612244171401, 0.024974528055948516, 0.08662069455410043, -0.022502312300881993, -0.28762509629984073, 0.08384135311158995, -0.15947848074138166, -0.13126039338919024, -0.009827609251563748, -0.0005313455612243463, 0.01889850040897727, -0.1866806098415206, 0.030945568287279457, 0.16793416874716058, 0.2365483944537118, -0.04217180688089381, -0.14820916359312833, 0.010087629850022494, -0.0072686583346997695, 0.004956189162718753, 0.031986721558496356, 0.06899095939006657, -0.07727205619836847, -0.1662510337928931, 0.33927881171305974, -0.0741890458855778, -0.13891460644081235, 0.16066669575326767, -0.13843111610040068, -0.17847125239204614, 0.10580061630656322, 0.1864480541087687, 0.18824068507722888, -0.05666635879703487, 0.2105475678962345, -0.12370793986992794, 0.10454917168244719, 0.11452343463121603, -0.03702773469655464, 0.15469062751023255, 0.01800657225151857, 0.027982565543303885, 0.12170889425712327, 0.014458994608624683, -0.1150672444763283, -0.3818408961097399, -0.1192341299339508, -0.1466702676184165, 0.11735102056215206, -0.050341673133273916, -0.1533693576309209, 0.4052633475822707, 0.06440278146474157, 0.10558989401470172, 0.10103932960579792, 0.21347300643101336, 0.07293927089000742, 0.044357494191111374, 0.04335658612350623, 0.13109340909868478, 0.24909636231604965, 0.10206052682284887, -0.027402602966564396, -0.06060097378989061, 0.27427922692149875] |
711.1616 | Weak Charm Decays with Lattice QCD | In this paper I review the status of lattice QCD calculations of $D$ and
$D_s$ meson decay constants and of $D$ meson semileptonic decay form factors. I
restrict my discussion to results obtained from simulations with $n_f = 2+1$
sea quarks.
| hep-ph | in this paper i review the status of lattice qcd calculations of d and d_s meson decay constants and of d meson semileptonic decay form factors i restrict my discussion to results obtained from simulations with n_f 21 sea quarks | [['in', 'this', 'paper', 'i', 'review', 'the', 'status', 'of', 'lattice', 'qcd', 'calculations', 'of', 'd', 'and', 'd_s', 'meson', 'decay', 'constants', 'and', 'of', 'd', 'meson', 'semileptonic', 'decay', 'form', 'factors', 'i', 'restrict', 'my', 'discussion', 'to', 'results', 'obtained', 'from', 'simulations', 'with', 'n_f', '21', 'sea', 'quarks']] | [-0.04726987371686846, 0.3131092152209021, -0.04795915489085019, 0.027544212838984096, -0.04295198329491541, -0.15595090901479125, 0.15328989962872583, 0.28231395934708414, -0.11396034201607108, -0.13130259923636914, -0.026334080219385214, -0.38769785771146414, -0.05200479140039534, 0.00423359556007199, 0.09892291631549596, 0.09221837625373155, 0.15749901873641647, -0.008345931768417358, -0.0992089003091678, -0.27149440119974316, 0.3325065068900585, -0.06624995708698407, 0.1436978427693248, 0.21342704771086574, -0.10437851464375854, -0.014301011676434428, -0.17521939892321825, -0.09785777095239609, -0.26068793879821894, 0.08584312535822392, 0.16744688898324966, 0.11750599783845246, 0.09519768096506595, -0.35942753199487926, -0.06678336993791163, 0.04531658398918807, 0.20808645728975533, 0.11794865960255266, 0.041435987362638114, -0.3147004434023984, 0.10285813619848341, -0.20270931574050338, -0.16481760134920478, -0.12789035516325384, 0.04649934214539826, -0.07044465942308306, -0.3330737005453557, 0.04585154817905277, -0.07773885441711173, 0.1300343049266303, -0.040349932404933495, -0.36547742811962963, 0.06917955158278347, 0.03747889596561436, 0.23466360177844764, 0.1661556959967129, 0.14274631575681268, -0.18068386348313653, -0.18860426432220265, 0.4795988379046321, -0.08727919477969408, -0.17051558434031905, 0.08533712204080075, -0.24953233858104795, -0.17402211657026784, 0.10644776355475187, 0.24632999435998498, 0.033383156079798935, -0.16976558845490217, 0.14209104526962618, -0.0628461824846454, 0.18218935625627636, 0.0763297745026648, 0.0977096936898306, 0.14661025358363985, 0.1784113932866603, -0.17111025443300604, -0.034631221712334084, 0.02274256548844278, -0.07322075541596859, -0.4373577029444277, -0.1048178399563767, -0.12143246112391352, 0.20587062633130698, -0.05616128959154594, -0.053092905203811824, 0.38776342884521, 0.031624403072055426, 0.21954461210407317, 0.017120947840157896, 0.24141107043251395, -0.008960290905088186, -0.028957865154370665, 0.1295467859134078, 0.23353226613253356, 0.2575539020472206, 0.1973219809238799, -0.3506202912365552, -0.13805910224327816, 0.1279077993473038] |
711.1617 | Eclipsing binary stars in the Large and Small Magellanic Clouds from the
MACHO project: The Sample | We present a new sample of 4634 eclipsing binary stars in the Large
Magellanic Cloud (LMC), expanding on a previous sample of 611 objects and a new
sample of 1509 eclipsing binary stars in the Small Magellanic Cloud (SMC), that
were identified in the light curve database of the MACHO project. We perform a
cross correlation with the OGLE-II LMC sample, finding 1236 matches. A cross
correlation with the OGLE-II SMC sample finds 698 matches. We then compare the
LMC subsamples corresponding to center and the periphery of the LMC and find
only minor differences between the two populations. These samples are
sufficiently large and complete that statistical studies of the binary star
populations are possible.
| astro-ph | we present a new sample of 4634 eclipsing binary stars in the large magellanic cloud lmc expanding on a previous sample of 611 objects and a new sample of 1509 eclipsing binary stars in the small magellanic cloud smc that were identified in the light curve database of the macho project we perform a cross correlation with the ogleii lmc sample finding 1236 matches a cross correlation with the ogleii smc sample finds 698 matches we then compare the lmc subsamples corresponding to center and the periphery of the lmc and find only minor differences between the two populations these samples are sufficiently large and complete that statistical studies of the binary star populations are possible | [['we', 'present', 'a', 'new', 'sample', 'of', '4634', 'eclipsing', 'binary', 'stars', 'in', 'the', 'large', 'magellanic', 'cloud', 'lmc', 'expanding', 'on', 'a', 'previous', 'sample', 'of', '611', 'objects', 'and', 'a', 'new', 'sample', 'of', '1509', 'eclipsing', 'binary', 'stars', 'in', 'the', 'small', 'magellanic', 'cloud', 'smc', 'that', 'were', 'identified', 'in', 'the', 'light', 'curve', 'database', 'of', 'the', 'macho', 'project', 'we', 'perform', 'a', 'cross', 'correlation', 'with', 'the', 'ogleii', 'lmc', 'sample', 'finding', '1236', 'matches', 'a', 'cross', 'correlation', 'with', 'the', 'ogleii', 'smc', 'sample', 'finds', '698', 'matches', 'we', 'then', 'compare', 'the', 'lmc', 'subsamples', 'corresponding', 'to', 'center', 'and', 'the', 'periphery', 'of', 'the', 'lmc', 'and', 'find', 'only', 'minor', 'differences', 'between', 'the', 'two', 'populations', 'these', 'samples', 'are', 'sufficiently', 'large', 'and', 'complete', 'that', 'statistical', 'studies', 'of', 'the', 'binary', 'star', 'populations', 'are', 'possible']] | [-0.11516072993279146, 0.04413655972216632, -0.12286176224809205, 0.09712828483817906, -0.09022429662933253, -0.02822555322601492, 0.16170095360299958, 0.4059111012210106, -0.16650519841190042, -0.3792632955431553, 0.013191630097371045, -0.36679228128672675, -0.020232320145467008, 0.2162613982398962, -0.0578709932301065, -0.002124664779142316, 0.1819017685443998, -0.09065285801148877, -0.0210652243278736, -0.3303345908683821, 0.2860175893352977, -0.009586172363046428, 0.15004680026824394, -0.14554115278437604, 0.06031380668944872, -0.08729692485488566, -0.10767189245911893, 0.00532995501998812, -0.10645262633336423, 0.10354553733888114, 0.2245934597971239, 0.13376670266132287, 0.17691357563859944, -0.28467715901551227, -0.12243916680394061, 0.07931454401013666, 0.19089810588951062, 0.05997547040985002, -0.07420780193080709, -0.25978273008689123, 0.09825775256091408, -0.18935017485336145, -0.16017686975477585, 0.05580423264121958, 0.13040905893812405, 0.1041035102600039, -0.2056495990922297, 0.10852020146558061, -0.021657100053712856, 0.12870104504139002, -0.10039509859353561, -0.17046715357694134, -0.027432578097996783, 0.10816824151572355, -0.001920720364633498, 0.09384212235855902, 0.1237985378026898, -0.11096504685501087, -0.010792532128358163, 0.3703118125458473, -0.07149169182180073, 0.036882519344638647, 0.2181369261454855, -0.19607430922895155, -0.20732527379657079, 0.09370699569036992, 0.20966259822056726, 0.15979237220619388, -0.22886491695354724, 0.0379562175547672, -0.06602623178182042, 0.23837349407679947, 0.0415408015336464, 0.03517820519507574, 0.27210203864900717, 0.12370329576239375, -0.02227343445049663, 0.18602920744311194, -0.3245337629622523, -0.12895826622893922, -0.23959088063766731, -0.09761289082836874, -0.11438163958393552, 0.03237236812630476, -0.18973815488450405, -0.156081996846077, 0.2673970745507114, 0.08413563756240082, 0.24946241676486258, 0.07170858201249664, 0.2899239194290391, 0.0017828851263841678, 0.1230737780188692, 0.13556429419610327, 0.32646236706782006, 0.15001547171389043, 0.04467638860183672, -0.2301929842736893, 0.10371177411509742, -0.029592450011666094] |
711.1618 | Conformal blocks related to the R-R states in the \hat c =1 SCFT | We derive an explicit form of a family of four-point Neveu-Schwarz blocks
with $\hat c =1,$ external weights $\Delta_i = 1/8$ and arbitrary intermediate
weight. The derivation is based on a set of identities obeyed in the free
superscalar theory by correlation functions of fields satisfying Ramond
condition with respect to the bosonic (dimension 1) and the fermionic
(dimension 1/2) currents.
| hep-th | we derive an explicit form of a family of fourpoint neveuschwarz blocks with hat c 1 external weights delta_i 18 and arbitrary intermediate weight the derivation is based on a set of identities obeyed in the free superscalar theory by correlation functions of fields satisfying ramond condition with respect to the bosonic dimension 1 and the fermionic dimension 12 currents | [['we', 'derive', 'an', 'explicit', 'form', 'of', 'a', 'family', 'of', 'fourpoint', 'neveuschwarz', 'blocks', 'with', 'hat', 'c', '1', 'external', 'weights', 'delta_i', '18', 'and', 'arbitrary', 'intermediate', 'weight', 'the', 'derivation', 'is', 'based', 'on', 'a', 'set', 'of', 'identities', 'obeyed', 'in', 'the', 'free', 'superscalar', 'theory', 'by', 'correlation', 'functions', 'of', 'fields', 'satisfying', 'ramond', 'condition', 'with', 'respect', 'to', 'the', 'bosonic', 'dimension', '1', 'and', 'the', 'fermionic', 'dimension', '12', 'currents']] | [-0.18810792566121867, 0.19225060253156698, -0.003377774675997595, 0.038303956476738676, -0.04956048495757083, -0.17543095789539317, 0.019341254028646896, 0.311919289190943, -0.20087053360960758, -0.2657082306812905, 0.0664645565887137, -0.2833222462873285, -0.11979662905602405, 0.13137835949116075, 0.019768696130874255, 0.029266612976789473, -0.04457421998570984, 0.09956223162201544, -0.12097313742463787, -0.27137738385548194, 0.3833853539157038, -0.056176912908752756, 0.2448859758519878, 0.022239456636210284, 0.14050620217603865, 0.05819914061576128, -0.02454436644135664, -0.04931985914396743, -0.1425157081646224, 0.14876837336147825, 0.17566861050824326, 0.07297476718279844, 0.17485432249183455, -0.41024790285155177, -0.10761539033070827, 0.08380263821842769, 0.12046016744958858, 0.05245338811849554, 0.028909519956990457, -0.2191800321297099, 0.0728920533011357, -0.1845134225053092, -0.20383414244279266, -0.06792709196924988, 0.03954119721117119, -0.008854937351619204, -0.34218461004008227, 0.0727159625540177, 0.05336894511904878, 0.10960813344766697, -0.09440956951099604, -0.16936188695641854, -0.05340582773787901, 0.08921161061540867, -0.010495447045347344, 0.08382720074926814, 0.09300125619241346, -0.20089587069426973, -0.10291092418968523, 0.26998406631852656, -0.04557357905432582, -0.2806545277669405, 0.13932810589127864, -0.11006874261268725, -0.1390077547247832, 0.059225091811579963, 0.0692215668115144, 0.09966662380999575, -0.13709170538932086, 0.21353336366786, -0.03907309455486636, 0.14123128019273282, 0.12804661210005483, 0.05515418881550431, 0.15817115819081665, -0.0008319824313124021, 0.04985480934847146, 0.1817354437817509, -0.018595576701530565, -0.06797046849193672, -0.4186557707687219, -0.15090905247877043, -0.15865151366839805, 0.14124824260361493, -0.15850475472737646, -0.17307044013092915, 0.39719079826415205, 0.06718987704565128, 0.1960714306992789, 0.12707304194627794, 0.19169357349164784, 0.16796888029033047, 0.12106123943231069, 0.08808165455702692, 0.08460915653655926, 0.19699827637135361, 0.0034874751174356787, -0.19167304075478267, -0.06973578022007132, 0.16018191974920531] |
711.1619 | Elliptic recurrence representation of the N=1 Neveu-Schwarz blocks | We apply a suitably generalized method of Al. Zamolodchikov to derive an
elliptic recurrence representation of the Neveu-Schwarz superconformal blocks
| hep-th | we apply a suitably generalized method of al zamolodchikov to derive an elliptic recurrence representation of the neveuschwarz superconformal blocks | [['we', 'apply', 'a', 'suitably', 'generalized', 'method', 'of', 'al', 'zamolodchikov', 'to', 'derive', 'an', 'elliptic', 'recurrence', 'representation', 'of', 'the', 'neveuschwarz', 'superconformal', 'blocks']] | [-0.10879378914833068, 0.042861742183595196, -0.12544228341430425, 0.05472502782940865, -0.1501765510533005, -0.1444339106557891, -0.03936461979756132, 0.29198097884655, -0.2539918083115481, -0.23901464755181223, 0.058951257891021666, -0.23457750538364053, -0.26265889790374786, 0.15636654378613457, -0.14588392148725687, 0.09841358549892902, -0.006175492331385613, 0.03442413453012705, -0.18074121566023676, -0.327205784805119, 0.3032975034788251, -0.0402372429438401, 0.2779015900800005, -0.03972185766324401, 0.14405167871154845, 0.08420491779688746, -0.03633654015138745, -0.10672471486032009, -0.14405639437027276, 0.23183687981218098, 0.2302663942798972, 0.046568052098155024, 0.1009219529107213, -0.4448104489594698, -0.16901777288876474, 0.08077366086654365, 0.21445328677073122, 0.1279093044809997, 0.05528145264834165, -0.27672537891194227, 0.04063008183147758, -0.23463100894005037, -0.2711953152436763, -0.11951799703529105, 0.04657865203917026, -0.008591547189280391, -0.36504528634250166, 0.08309244681149722, 0.07290520183742047, 0.07361803562380373, -0.06768835848197341, -0.049015296762809156, -0.045262088812887666, 0.05152113873045892, -0.03008441140409559, -0.0037518027471378445, 0.020877968217246235, -0.08861256763339043, -0.1530644933693111, 0.24593115058960394, -0.03728768150322139, -0.22657086548861116, 0.0028830189257860184, -0.0029269407037645578, -0.23840312529355287, 0.02020057262852788, 0.13131186310201884, 0.1929362751543522, -0.17074390433263034, 0.20677768324967474, -0.14234288330189884, 0.08575390055775642, 0.1636634378693998, -0.0839039450045675, 0.18452829383313657, 0.03656813818961382, 0.018296421272680163, 0.20909079518169166, -0.0005287455511279404, -0.06205520442745183, -0.3900500620249659, -0.20233621448278427, -0.1526921946555376, 0.12531097419559956, -0.21497058579698206, -0.2110223600640893, 0.41321802958846093, 0.133377867564559, 0.20155452573671936, 0.15742030550900382, 0.06819602027535439, 0.2116293353959918, 0.07443118956871331, 0.08856059461832047, 0.11604303559288383, 0.30384953022003175, 0.09803093182854354, -0.23709881249815226, -0.17664937876397743, 0.39689540714025495] |
711.162 | NASA tests of Einstein's Universe call for non-empty space physics of
nonlocal classical matter | LLR and GPB geodetic precessions have tested flatness for
Einsten-Infeld-Hoffmann dynamics of distributed relativistic matter
| physics.gen-ph | llr and gpb geodetic precessions have tested flatness for einsteninfeldhoffmann dynamics of distributed relativistic matter | [['llr', 'and', 'gpb', 'geodetic', 'precessions', 'have', 'tested', 'flatness', 'for', 'einsteninfeldhoffmann', 'dynamics', 'of', 'distributed', 'relativistic', 'matter']] | [-0.2061731731519103, 0.10112041461148433, -0.18995623702981643, 0.08785677791040923, -0.08490209760410446, -0.1901945397257805, -0.13797609727563603, 0.28461996732013567, -0.19063826198024408, -0.3756318124277251, 0.07038545914526496, -0.16529819981328078, 0.018639480370828614, 0.26666959415056873, -0.059141370467841625, 0.18838902935385704, 0.02976273532424654, 0.0316620422527194, -0.0977185274740415, -0.24350680956350906, 0.23380224387593834, 0.19910848034279688, 0.15838374077741588, -0.10815937437915377, 0.14187233921672618, 0.06472156469577126, -0.025927789775388583, 0.11265891790390015, -0.11974464277071613, 0.012447645887732506, 0.15696080002401555, 0.18197213492489286, 0.11049559393099376, -0.5189586857200733, -0.2863968630055232, 0.016298783211303607, -0.005440042088074344, 0.08547601529530116, -0.127551025777523, -0.3622897226679405, -0.0031157165233578, -0.25613790644066675, -0.1692777712430273, -0.12209107939686094, 0.17335460441453115, 0.0722943414002657, -0.2358686068494405, 0.09086303891880172, -0.05889888200908899, 0.0714864249540759, -0.01964891528976815, -0.15682613171104873, 0.05966400208749941, 0.024452698017869676, 0.16272640281489917, 0.01744577900639602, 0.20188760225261962, 0.012613981430019652, -0.21150268667510577, 0.5262575181467193, -0.11214431880840234, -0.17903402261435986, 0.08550519735685416, -0.2133302530273795, -0.16569599881768227, 0.04372975243521588, 0.24794557797057287, 0.1395162590779364, -0.16921353213755147, 0.18409407138408693, 0.08656516085777964, 0.023807111512204365, 0.20917656445609673, 0.00922566412815026, 0.4047989949051823, 0.10633002767073256, 0.02248990841742073, -0.09253548005861896, -0.261020122894219, -0.1443973200345811, -0.23913904391728075, -0.08220493041777185, -0.1520331386210663, 0.04025449723537479, -0.13465468691824103, -0.06736835557967424, 0.29321606137922834, 0.1762409746380789, -0.0029509051902485745, 0.05899806719805513, 0.3463336394301483, -0.039489325135946274, -0.031007534292127405, 0.10204907553270459, 0.49322202395913856, 0.19540063996932336, 0.08176204881497792, -0.300817931403539, 0.029926392948254943, -0.025700280498962717] |
711.1621 | Arens Regularity of Module Actions and the Second Adjoit of a Derivation | In this paper, first we give a simple criterion for the Arens regularity of a
bilinear mapping on normed spaces, which applies in particular to Banach module
actions and then we investigate those conditions under which the second adjoint
of a derivation into a dual Banach module is again a derivation. As a
consequence of the main result, a simple and direct proof for several older
results is also included.
| math.FA | in this paper first we give a simple criterion for the arens regularity of a bilinear mapping on normed spaces which applies in particular to banach module actions and then we investigate those conditions under which the second adjoint of a derivation into a dual banach module is again a derivation as a consequence of the main result a simple and direct proof for several older results is also included | [['in', 'this', 'paper', 'first', 'we', 'give', 'a', 'simple', 'criterion', 'for', 'the', 'arens', 'regularity', 'of', 'a', 'bilinear', 'mapping', 'on', 'normed', 'spaces', 'which', 'applies', 'in', 'particular', 'to', 'banach', 'module', 'actions', 'and', 'then', 'we', 'investigate', 'those', 'conditions', 'under', 'which', 'the', 'second', 'adjoint', 'of', 'a', 'derivation', 'into', 'a', 'dual', 'banach', 'module', 'is', 'again', 'a', 'derivation', 'as', 'a', 'consequence', 'of', 'the', 'main', 'result', 'a', 'simple', 'and', 'direct', 'proof', 'for', 'several', 'older', 'results', 'is', 'also', 'included']] | [-0.09285729482903012, 0.045257094269618395, -0.11481436231572713, 0.1048491269832344, -0.12287251805287919, -0.09627199401147664, 0.032883857042595215, 0.36683354285944786, -0.29674388468265533, -0.13850126482014144, 0.16241818176515932, -0.17476227129144328, -0.18516288136265108, 0.2357758650822299, -0.13609985204945718, -0.0356964192419712, 0.093671285261267, 0.0971919638370829, -0.10709359188164984, -0.2517242251762322, 0.40601847805082797, -0.007096942806882518, 0.18639387932739088, 0.08202151587216316, 0.14469136313657924, 0.04085397151564913, -0.035089482819395404, 0.0224902649410069, -0.17271195353407945, 0.12971157210080753, 0.2516065352596343, 0.09445144548746091, 0.31709779908082314, -0.3726087133267096, -0.12745886014641394, 0.12585864003215516, 0.08879945437157792, 0.053549479862808114, -0.10113229053926522, -0.27281157661761557, 0.11538606798276305, -0.20213212369542036, -0.10167359164250749, -0.09295903552057487, 0.012834060990384647, -0.020585899321096283, -0.35453167610934805, -0.0022414285327873327, 0.1800345032741981, 0.0791123171536518, -0.1498627068807504, -0.05989487504453531, 0.004510677858654942, 0.06661335097492806, -0.021227958844974637, 0.03741059120345328, 0.05981944319126861, -0.06785461810483996, -0.09835626603370266, 0.38115399232400315, -0.05282026033050247, -0.2234407757408917, 0.21131604090332984, -0.1271898834566985, -0.17774470851623586, 0.026553231264863697, 0.13715991428388016, 0.14769551322928498, -0.14619185774187957, 0.11057907096609207, -0.1611357276327908, 0.1101951484435371, 0.05051468258191432, 0.054596489295363426, 0.10322912602984746, 0.15468067674831087, 0.1434175422015999, 0.17800537825761628, 0.04342569944648338, -0.06279610629842085, -0.4027106917330197, -0.23469295566901566, -0.1342752179130912, 0.08120391038911683, -0.07804335697437637, -0.16059755346338664, 0.4252947419482682, 0.10532964171642172, 0.2094233211129904, 0.13066798391685422, 0.27914167208863155, 0.11930331941527714, 0.03438857332803309, 0.008281841707815017, 0.18284012922751053, 0.20759249149954745, 0.061663554695301825, -0.08192664373907194, -0.015581296104937793, 0.23459344591413225] |
711.1622 | The weighted fusion category algebra and the q-Schur algebra for
\mathrm{GL}_2(q) | We show that the weighted fusion category algebra of the principal 2-block
$b_0$ of $\mathrm{GL}_2(q)$ is the quotient of the $q$-Schur algebra
$\mathcal{S}_2(q)$ by its socle, for $q$ an odd prime power. As a consequence,
we get a canonical bijection between the set of isomorphism classes of simple
$k\mathrm{GL}_2(q)b_0$-modules and the set of conjugacy classes of
$b_0$-weights in this case.
| math.RT | we show that the weighted fusion category algebra of the principal 2block b_0 of mathrmgl_2q is the quotient of the qschur algebra mathcals_2q by its socle for q an odd prime power as a consequence we get a canonical bijection between the set of isomorphism classes of simple kmathrmgl_2qb_0modules and the set of conjugacy classes of b_0weights in this case | [['we', 'show', 'that', 'the', 'weighted', 'fusion', 'category', 'algebra', 'of', 'the', 'principal', '2block', 'b_0', 'of', 'mathrmgl_2q', 'is', 'the', 'quotient', 'of', 'the', 'qschur', 'algebra', 'mathcals_2q', 'by', 'its', 'socle', 'for', 'q', 'an', 'odd', 'prime', 'power', 'as', 'a', 'consequence', 'we', 'get', 'a', 'canonical', 'bijection', 'between', 'the', 'set', 'of', 'isomorphism', 'classes', 'of', 'simple', 'kmathrmgl_2qb_0modules', 'and', 'the', 'set', 'of', 'conjugacy', 'classes', 'of', 'b_0weights', 'in', 'this', 'case']] | [-0.18837762406162387, 0.0513882931993846, -0.04414435777081443, 0.03736455282861633, -0.0891365323082677, -0.09560421732021496, -0.004161666945687362, 0.3322829335728394, -0.44292829079287394, -0.23352509815179343, 0.05345341487346949, -0.2349882711423561, -0.11991050260673676, 0.19655221896911307, -0.13193120368357217, -0.057892723305225706, 0.057473785950735747, 0.17131092994739966, -0.08323497289841596, -0.2579314861380096, 0.4299471822201407, -0.015052136075350322, 0.22355744906651256, -0.01693973449125354, 0.1203480572107115, 0.01358320248047156, 0.031051292067526708, -0.003110408234143896, -0.11977722624955536, 0.1153191965422593, 0.30106761294882745, 0.12747826475554444, 0.22683899805789615, -0.3230168803628268, -0.024551587503602996, 0.24816599632945976, 0.15486189726340985, -0.02776334564467626, -0.022077201333429133, -0.1924441967650117, 0.13025177555781348, -0.25533390949879375, -0.09055575215357489, -0.06762192950866718, 0.1215098750544712, 0.0022860626673458944, -0.30309398558789064, -0.01488152114740972, 0.14072211705414311, 0.15827501911137784, -0.06315764804977723, -0.10983841737366415, -0.06752016827730196, 0.08592343993950635, -0.014840121285357912, 0.014976771498498107, 0.08001830596809409, -0.1267595358617005, -0.15478927701977746, 0.3832084343302995, 0.01820663347773786, -0.19045324021551227, 0.11168098153679498, -0.16275830798882193, -0.16705069843945758, 0.07412010723991054, 0.051519903054993064, 0.13776476747755492, 0.0031131283742849647, 0.18984162416537792, -0.20204419145427113, 0.044275891210418195, 0.07906654794766967, -0.032838605801641406, 0.13188826532236167, 0.12014773862756556, 0.07468309625983238, 0.20432342310336285, 0.014374360974345888, 0.0679581212877695, -0.4104878222403516, -0.19296381951841926, -0.13307804679996998, 0.12470270987666611, -0.1563227963464929, -0.18263313543450618, 0.4536367453069293, 0.08084123150079645, 0.1994348603600104, 0.1442566159447389, 0.2179944525871958, 0.0733741626385641, 0.08648885679264952, 0.03000103109453838, 0.12896128200061088, 0.2674187690925984, -0.08042762714571186, -0.16719668678706512, -0.06817552631088931, 0.2337412271881476] |
711.1623 | Chevalley's ambiguous class number formula for an arbitrary torus | This version is a significant improvement of the original paper. It includes
a new section where we discuss norm tori in some detail. The new abstract is
the following: In this paper we obtain Chevalley's ambiguous class number
formula for an arbitrary torus T over a global field. The classical formula of
C.Chevalley may be recovered by setting T=G_{m} in our formula. As an
illustration of the general result, we discuss norm tori in detail. A key
ingredient of the proof of our main theorem is the work of X.Xarles on groups
of components of Neron-Raynaud models of tori.
| math.NT math.AG | this version is a significant improvement of the original paper it includes a new section where we discuss norm tori in some detail the new abstract is the following in this paper we obtain chevalleys ambiguous class number formula for an arbitrary torus t over a global field the classical formula of cchevalley may be recovered by setting tg_m in our formula as an illustration of the general result we discuss norm tori in detail a key ingredient of the proof of our main theorem is the work of xxarles on groups of components of neronraynaud models of tori | [['this', 'version', 'is', 'a', 'significant', 'improvement', 'of', 'the', 'original', 'paper', 'it', 'includes', 'a', 'new', 'section', 'where', 'we', 'discuss', 'norm', 'tori', 'in', 'some', 'detail', 'the', 'new', 'abstract', 'is', 'the', 'following', 'in', 'this', 'paper', 'we', 'obtain', 'chevalleys', 'ambiguous', 'class', 'number', 'formula', 'for', 'an', 'arbitrary', 'torus', 't', 'over', 'a', 'global', 'field', 'the', 'classical', 'formula', 'of', 'cchevalley', 'may', 'be', 'recovered', 'by', 'setting', 'tg_m', 'in', 'our', 'formula', 'as', 'an', 'illustration', 'of', 'the', 'general', 'result', 'we', 'discuss', 'norm', 'tori', 'in', 'detail', 'a', 'key', 'ingredient', 'of', 'the', 'proof', 'of', 'our', 'main', 'theorem', 'is', 'the', 'work', 'of', 'xxarles', 'on', 'groups', 'of', 'components', 'of', 'neronraynaud', 'models', 'of', 'tori']] | [-0.13426480200723745, 0.030439879534545373, -0.09811534402312343, 0.09269233261996608, -0.03218520475881329, -0.06819162458608237, 0.009491307459635815, 0.30205509272248793, -0.2415672800319347, -0.2721565819859582, 0.12349967552654562, -0.19407300671931202, -0.17912758220821465, 0.2559547097965454, -0.17586274357745424, -0.013747328911752751, 0.04133586581883719, 0.05155659451459845, -0.06885721434324903, -0.2642570275250667, 0.39039087794177857, 0.020870560052571818, 0.177309735280384, 0.08252158240550973, 0.07760977827031941, 0.03716524427970095, -0.05263114211750993, -0.014656032299778113, -0.1539107230200898, 0.16643726895563304, 0.23168591743331035, 0.10053053247975186, 0.2612830877187662, -0.3624005734260815, -0.17990064706342915, 0.13745632556189472, 0.13291416798407832, 0.13081542723618136, -0.044230723900303325, -0.2374788686671915, 0.08477595167520728, -0.20120375362360696, -0.1951418452905879, -0.06941729623334443, 0.035485561487197025, 0.006638666382059455, -0.23941417901854342, 0.059385419410925046, 0.18183813956663167, 0.07719424924774405, -0.08107842820269677, -0.09780134588921403, 0.05744939827369914, 0.09884780751114401, 0.06796375148163254, 0.05637989141299234, 0.06839986177510582, -0.10219938583031762, -0.11786192134362257, 0.36051591181118664, -0.07945167101570405, -0.19600736691306034, 0.12256309455551673, -0.11138775775422498, -0.18887371814344078, 0.06878144878525443, 0.1568538655677306, 0.17796672462282004, -0.11951750660470377, 0.1351498743655005, -0.15809493633181168, 0.13292787350656, 0.036870645553184055, 0.03245017089708805, 0.1208516551463011, 0.1500480080643077, 0.08225241766854197, 0.20806587856956563, -0.03701679449113726, -0.08949802884308156, -0.40418700873851776, -0.23732004550887117, -0.14759314378655594, 0.08786493271084812, -0.10292155838881929, -0.14802776779833948, 0.41570219372321543, 0.1284158795442636, 0.21507091678601378, 0.08176581371147525, 0.2923625692880402, 0.13015934479699354, 0.030236230165731588, 0.05582732041269386, 0.18075094901390307, 0.17255535285463944, 0.0479038162532864, -0.12027876892049487, -0.0003413355104081954, 0.1535161023202818] |
711.1624 | Intermediate to low-mass stellar content of Westerlund 1 | We have analysed near-infrared NTT/SofI observations of the starburst cluster
Westerlund 1, which is among the most massive young clusters in the Milky Way.
A comparison of colour-magnitude diagrams with theoretical main-sequence and
pre-main sequence evolutionary tracks yields improved extinction and distance
estimates of A_Ks = 1.13+-0.03 mag and d = 3.55+-0.17 kpc (DM = 12.75+-0.10
mag). The pre-main sequence population is best fit by a Palla & Stahler
isochrone for an age of 3.2 Myr, while the main sequence population is in
agreement with a cluster age of 3 to 5 Myr. An analysis of the structural
parameters of the cluster yields that the half-mass radius of the cluster
population increases towards lower mass, indicative of the presence of mass
segregation. The cluster is clearly elongated with an eccentricity of 0.20 for
stars with masses between 10 and 32 Msun, and 0.15 for stars with masses in the
range 3 to 10 Msun. We derive the slope of the stellar mass function for stars
with masses between 3.4 and 27 Msun. In an annulus with radii between 0.75 and
1.5 pc from the cluster centre, we obtain a slope of Gamma = -1.3. Closer in,
the mass function of Westerlund 1 is shallower with Gamma = -0.6. The
extrapolation of the mass function for stars with masses from 0.08 to 120 Msun
yields an initial total stellar mass of ~52,000 Msun, and a present-day mass of
20,000 to 45,000 Msun (about 10 times the stellar mass of the Orion Nebula
Cluster, and 2 to 4 times the mass of the NGC 3603 young cluster), indicating
that Westerlund 1 is the most massive starburst cluster identified to date in
the Milky Way.
| astro-ph | we have analysed nearinfrared nttsofi observations of the starburst cluster westerlund 1 which is among the most massive young clusters in the milky way a comparison of colourmagnitude diagrams with theoretical mainsequence and premain sequence evolutionary tracks yields improved extinction and distance estimates of a_ks 113003 mag and d 355017 kpc dm 1275010 mag the premain sequence population is best fit by a palla stahler isochrone for an age of 32 myr while the main sequence population is in agreement with a cluster age of 3 to 5 myr an analysis of the structural parameters of the cluster yields that the halfmass radius of the cluster population increases towards lower mass indicative of the presence of mass segregation the cluster is clearly elongated with an eccentricity of 020 for stars with masses between 10 and 32 msun and 015 for stars with masses in the range 3 to 10 msun we derive the slope of the stellar mass function for stars with masses between 34 and 27 msun in an annulus with radii between 075 and 15 pc from the cluster centre we obtain a slope of gamma 13 closer in the mass function of westerlund 1 is shallower with gamma 06 the extrapolation of the mass function for stars with masses from 008 to 120 msun yields an initial total stellar mass of 52000 msun and a presentday mass of 20000 to 45000 msun about 10 times the stellar mass of the orion nebula cluster and 2 to 4 times the mass of the ngc 3603 young cluster indicating that westerlund 1 is the most massive starburst cluster identified to date in the milky way | [['we', 'have', 'analysed', 'nearinfrared', 'nttsofi', 'observations', 'of', 'the', 'starburst', 'cluster', 'westerlund', '1', 'which', 'is', 'among', 'the', 'most', 'massive', 'young', 'clusters', 'in', 'the', 'milky', 'way', 'a', 'comparison', 'of', 'colourmagnitude', 'diagrams', 'with', 'theoretical', 'mainsequence', 'and', 'premain', 'sequence', 'evolutionary', 'tracks', 'yields', 'improved', 'extinction', 'and', 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711.1625 | Color transparency: 33 years and still running | I review history of the color transparency (CT) which started with discovery
of the $J/\psi$ meson, discovery of high energy CT phenomena and the recent
progress in the investigations of CT at intermediate energies.
| hep-ph | i review history of the color transparency ct which started with discovery of the jpsi meson discovery of high energy ct phenomena and the recent progress in the investigations of ct at intermediate energies | [['i', 'review', 'history', 'of', 'the', 'color', 'transparency', 'ct', 'which', 'started', 'with', 'discovery', 'of', 'the', 'jpsi', 'meson', 'discovery', 'of', 'high', 'energy', 'ct', 'phenomena', 'and', 'the', 'recent', 'progress', 'in', 'the', 'investigations', 'of', 'ct', 'at', 'intermediate', 'energies']] | [-0.008686077671454233, 0.17608940321952105, -0.09258339137715452, 0.032289010791025835, -0.04250613008351887, -0.06894223852192655, 0.08557372488191023, 0.3551357631188105, -0.2040417623185717, -0.2867975401253823, 0.07804650973241009, -0.3206669944612419, -0.035496251000201, 0.10865294040345094, 0.0119622457662926, 0.03572172181242529, 0.08406344456050326, 0.026553014841149834, -0.09643019787857637, -0.23390091062687776, 0.2733356574659838, 0.06163256692097468, 0.2903132375110598, 0.17830000872559407, 0.06859681209521916, 0.046051287674345076, -0.09981300013468546, -0.029606534712537026, -0.16440977720434174, 0.108006802141972, 0.2971965577453375, 0.14629218894440463, 0.2552727524410276, -0.364189020358026, -0.2109143994474674, 0.07792399851057459, 0.11234578084858025, 0.09784089214757413, -0.15075088300577857, -0.28318812133853927, 0.07306286720011164, -0.13942677264704423, -0.09420799825559645, -0.04248520789448829, 0.07460174624643781, -0.02255289618145017, -0.20372553942177227, 0.09874343455714338, -0.004760639988543356, 0.08699722379884299, -0.09586858735693728, -0.1768331175450893, 0.016922512406702426, 0.05339777579202371, 0.07930052302339498, 0.14867020181982832, 0.12662902000524542, -0.31197177536566467, -0.17604374148718574, 0.3208806818789419, 0.01868885596666266, 0.05552189875914551, 0.2144348369911313, -0.2405625372467672, -0.17906257480054216, 0.20537533764453494, 0.20216384979293628, 0.12463783801478498, -0.15608069697833238, 0.08095523386145942, 0.045528041253633356, 0.09207911663414801, 0.0033520454650416095, 0.13104945081560052, 0.2171868707108147, 0.22416090305127642, -0.11785404992235057, 0.03651255018570844, -0.1448620351113598, -0.032536844010738766, -0.3342205856598037, -0.18393343695275047, -0.1205579337924171, 0.10537985098712585, 0.008608241387906567, -0.09264017564847189, 0.4627692540011862, 0.09874418073826853, 0.2815758573877461, -0.09743215129642255, 0.3065848239861867, 0.05159298278500929, 0.06800747688804917, 0.01819098006714793, 0.27609779937740636, 0.12563547448200338, 0.23120596714536934, -0.27784704751170736, 0.05164141836918562, 0.020428289960631552] |
711.1626 | Poincar\'e's inequality and diffusive evolution equations | This paper addresses the question of change of decay rate from exponential to
algebraic for diffusive evolution equations. We show how the behaviour of the
spectrum of the Dirichlet Laplacian in the two cases yields the passage from
exponential decay in bounded domains to algebraic decay or no decay at all in
the case of unbounded domains. It is well known that such rates of decay exist:
the purpose of this paper is to explain what makes the change in decay happen.
We also discuss what kind of data is needed to obtain various decay rates.
| math.AP math.HO | this paper addresses the question of change of decay rate from exponential to algebraic for diffusive evolution equations we show how the behaviour of the spectrum of the dirichlet laplacian in the two cases yields the passage from exponential decay in bounded domains to algebraic decay or no decay at all in the case of unbounded domains it is well known that such rates of decay exist the purpose of this paper is to explain what makes the change in decay happen we also discuss what kind of data is needed to obtain various decay rates | [['this', 'paper', 'addresses', 'the', 'question', 'of', 'change', 'of', 'decay', 'rate', 'from', 'exponential', 'to', 'algebraic', 'for', 'diffusive', 'evolution', 'equations', 'we', 'show', 'how', 'the', 'behaviour', 'of', 'the', 'spectrum', 'of', 'the', 'dirichlet', 'laplacian', 'in', 'the', 'two', 'cases', 'yields', 'the', 'passage', 'from', 'exponential', 'decay', 'in', 'bounded', 'domains', 'to', 'algebraic', 'decay', 'or', 'no', 'decay', 'at', 'all', 'in', 'the', 'case', 'of', 'unbounded', 'domains', 'it', 'is', 'well', 'known', 'that', 'such', 'rates', 'of', 'decay', 'exist', 'the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'explain', 'what', 'makes', 'the', 'change', 'in', 'decay', 'happen', 'we', 'also', 'discuss', 'what', 'kind', 'of', 'data', 'is', 'needed', 'to', 'obtain', 'various', 'decay', 'rates']] | [-0.1028546122154997, 0.1332976889971178, -0.07873217590289035, 0.1344751591544385, -0.07881346150437214, -0.09412622220891838, 0.01566029585713598, 0.3257754126874109, -0.33902307287886896, -0.2480388015974313, 0.13049610954719051, -0.274282732832944, -0.11918008652719436, 0.20147859545492489, -0.03472624588660741, 0.059763017731408276, 0.052284650989652924, 0.09559506945758282, -0.050618977079769444, -0.24512637784937397, 0.367922418610154, -0.0023579280168632977, 0.23902668061782606, 0.0769642099912744, 0.00796188701375892, -0.053562782636921234, -0.02493495861805665, -0.07347643589902948, -0.18828280513882115, 0.08364276590873487, 0.21820261084940284, 0.1398926272522658, 0.2142294894826288, -0.42270814986356225, -0.16166849938842157, 0.18708600632695985, 0.20686024754589502, 0.1078758349904092, -0.03373083990785138, -0.21643534547426194, 0.10834522479005197, -0.14110843456971148, -0.1569709233493389, -0.024165542068658397, 0.031247281496083208, 0.0273842971570654, -0.2880104163583989, 0.11341666680255003, 0.11093910480000584, 0.02174996429433425, -0.07494519441388547, -0.06385354930777491, 0.07390649530983258, 0.14394068999051038, 0.16012045133781308, -0.03008288009732496, 0.08371907052545187, -0.11260631515081816, -0.10349366499576718, 0.351349573485398, -0.09420764656776252, -0.19014579179687038, 0.1746664380383057, -0.20940972839889582, -0.13136303893406875, 0.1409233345038956, 0.16496100597820865, 0.1190002218694038, -0.12191257788920969, 0.11505393149855081, 0.0019013322695779304, 0.13903622408785546, 0.1016688997624442, 0.0625584870952783, 0.10742093300602089, 0.15487085905624554, 0.06825098245826666, 0.15923521151610961, -0.03616179923119489, -0.12126678180356976, -0.3430602367928562, -0.16669517610959397, -0.14566493439512365, 0.11075179971036657, -0.01659462458095125, -0.1764068365446292, 0.4101532570105822, 0.12178404901108782, 0.2422495630744379, 0.0799251237573723, 0.2419840297322177, 0.13326988111657556, 0.021501464672231425, 0.0706013990206884, 0.2458231423709852, 0.11913089619095747, 0.13022810137772467, -0.23725839137174867, 0.11343701109581161, 0.03336012855334047] |
711.1627 | Pulsating B-type stars in the young open cluster h Persei (NGC 869) | We announce the discovery of six Beta Cephei stars and many other variable
stars in the young open cluster h Persei (NGC 869). The cluster seems to be
very rich in variable B-type stars, similarly to its twin, Chi Persei (NGC
884).
| astro-ph | we announce the discovery of six beta cephei stars and many other variable stars in the young open cluster h persei ngc 869 the cluster seems to be very rich in variable btype stars similarly to its twin chi persei ngc 884 | [['we', 'announce', 'the', 'discovery', 'of', 'six', 'beta', 'cephei', 'stars', 'and', 'many', 'other', 'variable', 'stars', 'in', 'the', 'young', 'open', 'cluster', 'h', 'persei', 'ngc', '869', 'the', 'cluster', 'seems', 'to', 'be', 'very', 'rich', 'in', 'variable', 'btype', 'stars', 'similarly', 'to', 'its', 'twin', 'chi', 'persei', 'ngc', '884']] | [-0.062465231388895995, 0.1529391506198971, -0.0885595184684332, 0.09448808380624368, -0.23796030320227146, -0.15145827939600817, 0.13958086847283302, 0.42535538718636545, -0.16469443376575196, -0.3465958334328163, 0.05566739043154355, -0.2797291829871635, 0.016777776658446306, 0.24554728318582333, -0.10202786886310648, -0.07823576328172792, 0.19651043790924763, 0.03662314056418836, 0.06912937458781969, -0.36578065072674126, 0.24719695026163077, -0.039823656236486774, -0.03745508111370284, -0.17914404598109068, -0.07759055246909459, -0.16010399117866264, -0.07665157526554096, -0.15532375573890195, -0.13422336879496774, 0.006285732944629022, 0.23959394792715707, 0.1444617495650337, 0.21081333951137604, -0.16953723927560663, -0.14107302632848068, 0.043150804249481076, 0.2958132880074637, -0.10840648239744562, -0.05345833379154404, -0.3207376280666462, 0.10252608871087432, -0.19795389925794943, -0.2943161088263705, 0.0834706858898114, 0.1542280468025378, 0.03679900168485585, -0.21518060726867544, 0.11493132408941165, -0.006421898979516257, 0.11969671014785058, -0.16475240036102368, -0.2135751506402379, 0.04276360252073833, 0.05451095219524134, 0.006921602146966117, 0.17077701167380882, 0.09080495246286903, -0.19335786757680276, 0.012873999996199495, 0.40742227734465686, -0.10776968821578305, 0.06956973813828968, 0.2837345153536825, -0.2599214342910619, -0.36154291016005335, 0.011003314872227964, 0.02761786781151646, 0.2061143325242613, -0.24043050561366336, 0.05646900415636732, -0.04102154211362913, 0.2128318120320771, 0.06981865828856826, 0.0569116053437548, 0.28491059353663806, 0.08245848026126623, -0.039039740118563974, 0.14537875302041703, -0.32732388102227733, -0.05362730628500382, -0.17118643250848567, -0.14481333009011688, -0.03136255331559196, 0.07544082270136901, -0.18462302104446626, -0.19095760420896113, 0.3233463176126991, -0.011119600385427475, 0.15211050019466452, -0.13064519500005103, 0.13535090087957324, 0.014462376451341524, 0.13270891932049944, 0.1519681224821224, 0.26155699848286096, 0.3203184251296556, 0.08163092928450733, -0.2901593510593687, 0.03968531377835288, -0.059420818385357656] |
711.1628 | Combined macro- and micro-rheometer for use with Langmuir monolayers | A Langmuir monolayer trough that is equipped for simultaneous microrheology
and standard rheology measurements has been constructed. The central elements
are the trough itself with a full range of optical tools accessing the
air-water interface from below the trough and a portable knife-edge torsion
pendulum that can access the interface from above. The ability to
simultaneously measure the mechanical response of Langmuir monolayers on very
different lengths scales is an important step in for our understanding of the
mechanical response of such systems.
| cond-mat.soft | a langmuir monolayer trough that is equipped for simultaneous microrheology and standard rheology measurements has been constructed the central elements are the trough itself with a full range of optical tools accessing the airwater interface from below the trough and a portable knifeedge torsion pendulum that can access the interface from above the ability to simultaneously measure the mechanical response of langmuir monolayers on very different lengths scales is an important step in for our understanding of the mechanical response of such systems | [['a', 'langmuir', 'monolayer', 'trough', 'that', 'is', 'equipped', 'for', 'simultaneous', 'microrheology', 'and', 'standard', 'rheology', 'measurements', 'has', 'been', 'constructed', 'the', 'central', 'elements', 'are', 'the', 'trough', 'itself', 'with', 'a', 'full', 'range', 'of', 'optical', 'tools', 'accessing', 'the', 'airwater', 'interface', 'from', 'below', 'the', 'trough', 'and', 'a', 'portable', 'knifeedge', 'torsion', 'pendulum', 'that', 'can', 'access', 'the', 'interface', 'from', 'above', 'the', 'ability', 'to', 'simultaneously', 'measure', 'the', 'mechanical', 'response', 'of', 'langmuir', 'monolayers', 'on', 'very', 'different', 'lengths', 'scales', 'is', 'an', 'important', 'step', 'in', 'for', 'our', 'understanding', 'of', 'the', 'mechanical', 'response', 'of', 'such', 'systems']] | [-0.1132927618651505, 0.11297188559704859, -0.08922298358057637, -0.02699980546765209, -0.05664461630071143, -0.1751161325296544, 0.010604864244450288, 0.36464072171464024, -0.2831062278429787, -0.2666952151535864, 0.06320710789765714, -0.29529388238260723, -0.13511677426061627, 0.2510192550533642, 0.017816058242222273, 0.08445802599146783, 0.0202724392559514, -0.020414767371692573, 0.007790638596739575, -0.10362928015101387, 0.2419892428162317, 0.09479907602745008, 0.3143224373280284, 0.05373462564480233, 0.11569178673292858, 0.03408042763371066, 0.04119024179449462, 0.03501238406871457, -0.12511958485467117, 0.09693463597199824, 0.2664967264968857, 0.010858007776831468, 0.24569260792705758, -0.4528764996632754, -0.24792724459555493, 0.011908990880811071, 0.12850831406954003, 0.12429074708551886, -0.05140551980388497, -0.26637428682521885, 0.06714570072706766, -0.10830276352016771, -0.11020821246531713, -0.03021264021251216, 0.029698997197380984, 0.041882854544120024, -0.23190638876845499, 0.05078097874107939, 0.009882736284529835, 0.0947337830186743, -0.06135303451937724, -0.04910753404227904, -0.06188955024187734, 0.16569996556177377, 0.011060488595436496, -0.0055290534026382196, 0.21048301135201053, -0.12836986536676265, -0.059131586854065575, 0.4203744355634034, -0.07127653024193034, -0.14095231253339582, 0.2620993553582265, -0.15455243123852344, -0.05835467971390091, 0.1847567999937448, 0.18895015877346139, 0.06214070860969733, -0.158250341595835, 0.06463463433754507, -0.043477683036352494, 0.221712408520012, 0.08392676960744233, 0.0034151648238570577, 0.2652386216648731, 0.219066748586315, 0.03574829728725501, 0.10646791094970183, -0.08326153543284051, -0.005169958998280835, -0.27813658670309077, -0.17748178605618606, -0.1803849606202489, 0.03536136833255191, -0.061302406924106295, -0.1488473485953298, 0.4013130762936907, 0.10303024526303971, 0.1608268690172089, 0.03828550753722259, 0.3261312087661172, 0.07304562375802233, 0.10230344681052424, -0.004057960102267294, 0.2748117518263409, 0.14971847174666733, 0.14703319386119046, -0.20995386706241576, 0.06715468669601951, 0.01826561227755015] |
711.1629 | Boron in copper: a perfect misfit in the bulk and cohesion enhancer at a
grain boundary | Our ab initio study suggests that boron segregation to the Sigma 5(310)[001]
grain boundary should strengthen the boundary up to 1.5 ML coverage (15.24
at/nm^2). The maximal effect is observed at 0.5 ML and corresponds to boron
atoms filling exclusively grain boundary interstices. In copper bulk, B causes
significant distortion both in interstitial and regular lattice sites for which
boron atoms are either too big or too small. The distortion is compensated to
large extent when the interstitial and substitutional boron combine together to
form a strongly bound dumbell. Our prediction is that bound boron impurities
should appear in sizable proportion if not dominate in most experimental
conditions. A large discrepancy between calculated heats of solution and
experimental terminal solubility of B in Cu is found, indicating either a sound
failure of the local density approximation or, more likely, strongly
overestimated solubility limits in the existing B-Cu phase diagram.
| cond-mat.mtrl-sci | our ab initio study suggests that boron segregation to the sigma 5310001 grain boundary should strengthen the boundary up to 15 ml coverage 1524 atnm2 the maximal effect is observed at 05 ml and corresponds to boron atoms filling exclusively grain boundary interstices in copper bulk b causes significant distortion both in interstitial and regular lattice sites for which boron atoms are either too big or too small the distortion is compensated to large extent when the interstitial and substitutional boron combine together to form a strongly bound dumbell our prediction is that bound boron impurities should appear in sizable proportion if not dominate in most experimental conditions a large discrepancy between calculated heats of solution and experimental terminal solubility of b in cu is found indicating either a sound failure of the local density approximation or more likely strongly overestimated solubility limits in the existing bcu phase diagram | [['our', 'ab', 'initio', 'study', 'suggests', 'that', 'boron', 'segregation', 'to', 'the', 'sigma', '5310001', 'grain', 'boundary', 'should', 'strengthen', 'the', 'boundary', 'up', 'to', '15', 'ml', 'coverage', '1524', 'atnm2', 'the', 'maximal', 'effect', 'is', 'observed', 'at', '05', 'ml', 'and', 'corresponds', 'to', 'boron', 'atoms', 'filling', 'exclusively', 'grain', 'boundary', 'interstices', 'in', 'copper', 'bulk', 'b', 'causes', 'significant', 'distortion', 'both', 'in', 'interstitial', 'and', 'regular', 'lattice', 'sites', 'for', 'which', 'boron', 'atoms', 'are', 'either', 'too', 'big', 'or', 'too', 'small', 'the', 'distortion', 'is', 'compensated', 'to', 'large', 'extent', 'when', 'the', 'interstitial', 'and', 'substitutional', 'boron', 'combine', 'together', 'to', 'form', 'a', 'strongly', 'bound', 'dumbell', 'our', 'prediction', 'is', 'that', 'bound', 'boron', 'impurities', 'should', 'appear', 'in', 'sizable', 'proportion', 'if', 'not', 'dominate', 'in', 'most', 'experimental', 'conditions', 'a', 'large', 'discrepancy', 'between', 'calculated', 'heats', 'of', 'solution', 'and', 'experimental', 'terminal', 'solubility', 'of', 'b', 'in', 'cu', 'is', 'found', 'indicating', 'either', 'a', 'sound', 'failure', 'of', 'the', 'local', 'density', 'approximation', 'or', 'more', 'likely', 'strongly', 'overestimated', 'solubility', 'limits', 'in', 'the', 'existing', 'bcu', 'phase', 'diagram']] | [-0.1021844736636897, 0.1820367179804622, -0.0011422193644262137, 0.047310704966586035, -0.01859767566122472, -0.16962400319099374, 0.15026000876630313, 0.40299311211996086, -0.25933622633831016, -0.3056145000450109, 0.028570192748017302, -0.35629643182180926, -0.07166728594863456, 0.09263422410641733, -0.021817331648852727, -0.0238865587297406, 0.07321707108887295, -0.026931615999249155, -0.07792692471750891, -0.27410626508716546, 0.23121983634008172, 0.056323438822228004, 0.3108691816371291, 0.13412721876743927, -0.053701084161381404, -0.06508303537314171, 0.05829422289748, 0.07168386780261381, -0.1575638982695599, 0.08684523646113357, 0.23912281743314576, -0.0328471371457491, 0.2112294996846212, -0.46288633601076595, -0.19220768627136536, 0.07209702265410595, 0.16451850252334438, 0.11883092949355072, -0.06850045672524162, -0.20168532022715177, 0.0971512826333422, -0.11249071706647742, -0.10808891445248427, -0.0015646856113126475, 0.04961784733842089, -0.018153270631582057, -0.2700609548419255, 0.1282111266117594, 0.04417279919079977, 0.04867605054320461, -0.12301676425834071, -0.18191232393202308, -0.11201738143078217, 0.02502301289665685, 0.036847562073053765, 0.07210583988360245, 0.17758024541648385, -0.08771797471475622, -0.0017658934756245924, 0.4262060498538083, -0.05918617904734836, -0.11751253442035044, 0.22295432222037487, -0.21521999615512483, -0.11252321176588127, 0.196988843076014, 0.11970402435830169, 0.06993070289182432, -0.13935401820952842, 0.06686348558247268, 0.004225977229222349, 0.19989075385869723, 0.10870131375331891, 0.0007200935881023538, 0.2294840045171241, 0.16424357431640926, 0.08477696594590806, 0.09644500390077902, -0.11360289947901636, -0.05081631394090411, -0.2047126976109735, -0.15332331284896586, -0.18429640488864932, 0.06000228696480817, -0.12468260498231035, -0.2255755987158683, 0.2520254803422762, 0.10787331976621628, 0.20623138737035532, -0.05072793689291694, 0.19531883061735902, 0.062176158305653054, 0.0946489137012116, 0.05597725478901962, 0.25803568471886523, 0.13610080564402566, 0.03376027966262645, -0.23639969932145044, 0.1372036959362784, 0.017755149354941328] |
711.163 | Coherent electron-phonon states in suspended quantum dots: decoherence
and dissipation effects | The dynamics of coherent electron-phonon (el-ph) states is investigated for a
suspended nanostructure. Exact quantum dynamics calculations reveal that
electron and phonons (comprising a thermal bath) couple quantum mechanically to
perform coherent oscillations with periods in the range of tens of nanoseconds,
despite the finite temperature of the phonon bath. Mechanical energy
dissipation due to clamping loss is taken into account in the calculations.
Although the lifetime of the coupled el-ph states decreases with the
temperature, well defined Rabi oscillations are obtained for temperatures up to
100 mK. The dynamics of the coupled electron-phonon state is susceptible to
various forms of external control. For instance, a weak external magnetic field
can be used to control the dynamics of the system, by decoupling the electron
from the phonon bath. The results cast light upon the underlying physics of a
yet unexplored system that could be suitable for novel quantum device
applications.
| quant-ph | the dynamics of coherent electronphonon elph states is investigated for a suspended nanostructure exact quantum dynamics calculations reveal that electron and phonons comprising a thermal bath couple quantum mechanically to perform coherent oscillations with periods in the range of tens of nanoseconds despite the finite temperature of the phonon bath mechanical energy dissipation due to clamping loss is taken into account in the calculations although the lifetime of the coupled elph states decreases with the temperature well defined rabi oscillations are obtained for temperatures up to 100 mk the dynamics of the coupled electronphonon state is susceptible to various forms of external control for instance a weak external magnetic field can be used to control the dynamics of the system by decoupling the electron from the phonon bath the results cast light upon the underlying physics of a yet unexplored system that could be suitable for novel quantum device applications | [['the', 'dynamics', 'of', 'coherent', 'electronphonon', 'elph', 'states', 'is', 'investigated', 'for', 'a', 'suspended', 'nanostructure', 'exact', 'quantum', 'dynamics', 'calculations', 'reveal', 'that', 'electron', 'and', 'phonons', 'comprising', 'a', 'thermal', 'bath', 'couple', 'quantum', 'mechanically', 'to', 'perform', 'coherent', 'oscillations', 'with', 'periods', 'in', 'the', 'range', 'of', 'tens', 'of', 'nanoseconds', 'despite', 'the', 'finite', 'temperature', 'of', 'the', 'phonon', 'bath', 'mechanical', 'energy', 'dissipation', 'due', 'to', 'clamping', 'loss', 'is', 'taken', 'into', 'account', 'in', 'the', 'calculations', 'although', 'the', 'lifetime', 'of', 'the', 'coupled', 'elph', 'states', 'decreases', 'with', 'the', 'temperature', 'well', 'defined', 'rabi', 'oscillations', 'are', 'obtained', 'for', 'temperatures', 'up', 'to', '100', 'mk', 'the', 'dynamics', 'of', 'the', 'coupled', 'electronphonon', 'state', 'is', 'susceptible', 'to', 'various', 'forms', 'of', 'external', 'control', 'for', 'instance', 'a', 'weak', 'external', 'magnetic', 'field', 'can', 'be', 'used', 'to', 'control', 'the', 'dynamics', 'of', 'the', 'system', 'by', 'decoupling', 'the', 'electron', 'from', 'the', 'phonon', 'bath', 'the', 'results', 'cast', 'light', 'upon', 'the', 'underlying', 'physics', 'of', 'a', 'yet', 'unexplored', 'system', 'that', 'could', 'be', 'suitable', 'for', 'novel', 'quantum', 'device', 'applications']] | [-0.1622525959260141, 0.26326438421693943, -0.059984640618786216, 0.03235612262583648, -0.01801751147955656, -0.1549860590075453, 0.05418494980006168, 0.34872255408515535, -0.2906152177974582, -0.29914105974758665, 0.0183399357755358, -0.281659126583836, -0.0501734018449982, 0.24950675797027846, 0.03798033587634563, 0.03967612593357141, 0.04929548676358536, 0.006673102111478026, -0.02057546753125886, -0.17345805627075606, 0.2586212647520006, 0.06939369314117357, 0.29431096065789464, 0.09445879540716608, 0.10411218986225625, 0.014634932388241092, 0.10885516404329489, 0.009106764495372772, -0.09657772874682753, 0.04562901618812854, 0.25825968766584995, -0.05105174124240875, 0.27107611794335146, -0.4900998396178087, -0.26860110767185685, 0.010321250272293886, 0.11902850855646345, 0.17169219556419799, -0.03310981437563896, -0.2747895243267218, 0.013140044274429481, -0.14782169827570518, -0.1330179294757545, -0.10821267569437623, -0.01644532898363347, -0.00771887504030019, -0.2338776770924839, 0.10685860373079777, 0.02410659742464001, 0.03819474402417351, -0.0879498895839788, -0.06071170252282172, -0.016774413164627428, 0.11696075377364953, 0.0159820740763098, -0.0038194806802008922, 0.24501137094727407, -0.10041935204528273, -0.09163299319644769, 0.37223572575797637, -0.10000299443490804, -0.1187318637346228, 0.18776461427410443, -0.12325700455345213, -0.03206029266739885, 0.18654741971753538, 0.14614909986034036, 0.08319056395751735, -0.1794879054153959, 0.07584128684946335, 0.04490948272248109, 0.19183333963931848, 0.020548292957246302, 0.12260580863182743, 0.23653282470380266, 0.19082974050349247, 0.004173435064343115, 0.15550671001275382, -0.07937472348256658, -0.11238428044443328, -0.25322920917222896, -0.10918259238707834, -0.1930605567743381, 0.12567531991361952, -0.03979857548130288, -0.15275786105232933, 0.4258610752783716, 0.14591553678076405, 0.15215541407155495, -0.03215352426593503, 0.26895847138017415, 0.1479752212141951, 0.08564868457925816, 0.026552743431335936, 0.3003610450277726, 0.2223062092764303, 0.0910507764108479, -0.3482969888439402, 0.01396629591472447, -0.04572449323449594] |
711.1631 | Boundary S matrix of an open XXZ spin chain with nondiagonal boundary
terms | Using a recently proposed solution for an open antiferromagnetic spin-1/2 XXZ
quantum spin chain with N (even) spins and two arbitrary boundary parameters at
roots of unity, we compute the boundary scattering amplitudes for one-hole
states. We also deduce the relations between the lattice boundary parameters
appearing in the spin-chain Hamiltonian and the IR (infrared) parameters that
appear in the boundary sine-Gordon S matrix.
| hep-th | using a recently proposed solution for an open antiferromagnetic spin12 xxz quantum spin chain with n even spins and two arbitrary boundary parameters at roots of unity we compute the boundary scattering amplitudes for onehole states we also deduce the relations between the lattice boundary parameters appearing in the spinchain hamiltonian and the ir infrared parameters that appear in the boundary sinegordon s matrix | [['using', 'a', 'recently', 'proposed', 'solution', 'for', 'an', 'open', 'antiferromagnetic', 'spin12', 'xxz', 'quantum', 'spin', 'chain', 'with', 'n', 'even', 'spins', 'and', 'two', 'arbitrary', 'boundary', 'parameters', 'at', 'roots', 'of', 'unity', 'we', 'compute', 'the', 'boundary', 'scattering', 'amplitudes', 'for', 'onehole', 'states', 'we', 'also', 'deduce', 'the', 'relations', 'between', 'the', 'lattice', 'boundary', 'parameters', 'appearing', 'in', 'the', 'spinchain', 'hamiltonian', 'and', 'the', 'ir', 'infrared', 'parameters', 'that', 'appear', 'in', 'the', 'boundary', 'sinegordon', 's', 'matrix']] | [-0.20343562024936546, 0.23182842976007123, -0.02773578470078064, 0.04713961730885785, -0.04831640323391184, -0.18290630020055687, -0.0041752625729714055, 0.35959106832160614, -0.2362582957430277, -0.21209355329847313, 0.09027629682896077, -0.31711534783244133, -0.10288300693719066, 0.13984606464146054, 0.09001326936413534, 0.09816686762496829, 0.05261907347448869, 0.06381906392925885, -0.13141061019268818, -0.22620218267547898, 0.3280164631794378, -0.0643567843017081, 0.21730515392846428, 0.06401360972449766, 0.07840223843231797, 0.07969410868827254, 0.12349986734625418, -0.04595452160720015, -0.18598703526060945, 0.07513600531729026, 0.2779643430512806, -0.06241519167087972, 0.08096792273863684, -0.44009727105731145, -0.17654825074714608, 0.06034956177609274, 0.1717720120359445, 0.14939528101240285, 0.01686285271489396, -0.2778853096460807, -0.02374037505069282, -0.15641595619672444, -0.22281103780642297, -0.0436382590305584, 0.02512886541080661, -0.05881578091066331, -0.3048374090431025, 0.0762741126122819, 0.022833788592834026, 0.08193441381445155, -0.10013479687768267, -0.13996671592758503, -0.0551756452259724, 0.11767130342923338, 0.012593836945598014, 0.025754230740858475, 0.05629212020721752, -0.13391809261520393, -0.13751565956044942, 0.2906566226411087, -0.043492019842233276, -0.23028650919150095, 0.15384145020652795, -0.15631515688437503, -0.13698668920551427, 0.09118683281121776, 0.04760206439823378, 0.07106553690391593, -0.1685433308884967, 0.18867086415230006, -0.04953090679919114, 0.16290235115411633, 0.07274614591733553, 0.036837911371549126, 0.2098639917676337, 0.05038785592478234, 0.04324436132446863, 0.20281289580452722, -0.07761777216001065, -0.1532754948202637, -0.2961683018220356, -0.14711112332588527, -0.23509754191036336, 0.08269429745996604, -0.17474389053631967, -0.20707965930341743, 0.37361277526360936, 0.18032021418322586, 0.22031171272101346, 0.016860831005033106, 0.1648328942246735, 0.156756997705088, 0.038070652502938174, 0.1266762075613883, 0.17966122331563383, 0.20384579666642821, 0.03403367381542921, -0.3308987743948819, -0.058721131318634434, 0.14983800656773383] |
711.1632 | Reusable Vernam Cipher with Quantum Media | A revised version will be uploaded later.
In this Letter, it is shown that the one-time-pad key in the Vernam cipher
can be repeatedly used with unconditional security using quantum media. The
security proof is given with two explicit protocols, and the error rate
threshold is analyzed.
| quant-ph | a revised version will be uploaded later in this letter it is shown that the onetimepad key in the vernam cipher can be repeatedly used with unconditional security using quantum media the security proof is given with two explicit protocols and the error rate threshold is analyzed | [['a', 'revised', 'version', 'will', 'be', 'uploaded', 'later', 'in', 'this', 'letter', 'it', 'is', 'shown', 'that', 'the', 'onetimepad', 'key', 'in', 'the', 'vernam', 'cipher', 'can', 'be', 'repeatedly', 'used', 'with', 'unconditional', 'security', 'using', 'quantum', 'media', 'the', 'security', 'proof', 'is', 'given', 'with', 'two', 'explicit', 'protocols', 'and', 'the', 'error', 'rate', 'threshold', 'is', 'analyzed']] | [-0.15190085835824224, 0.05526515554161148, -0.14699906857803147, 0.08329328881239796, -0.003920105226496433, -0.22184436277862876, 0.050096948626153964, 0.3414621392780162, -0.26645150009859747, -0.2559437388950523, 0.17086253407847216, -0.21849227992897022, -0.1466236724221009, 0.24180947022235139, -0.18670533625210853, 0.12277640124901812, 0.029211400324439116, 0.054560818233864106, 0.02878251603923421, -0.3797777345839967, 0.2775816387160027, 0.09629661538588637, 0.30399807102661186, 0.055853158364349856, 0.037269132073096775, -0.0013457282961524548, -0.015661046503389134, -0.02796862696475805, -0.13772365949788512, 0.09556884839734499, 0.27633017925248343, 0.16382410377264023, 0.313526090710087, -0.3827845887181924, -0.15322984529143951, 0.0719001554745309, 0.18628466525610457, 0.17639410899991684, -0.07822862261549589, -0.32199161719689345, 0.13673020078939327, -0.23978573862621758, -0.08809396888109598, -0.019477537694446583, -0.011129854266789365, 0.028426240693698538, -0.2529240597653738, 0.004601591504476172, 0.04321259198749953, 0.0400757995889859, 0.03830086796524677, -0.04469224738274166, 0.01100756065484057, 0.12408811594062347, 0.002971580732574171, 0.06172800661520438, 0.12817269631047198, -0.033324838898323, -0.116987397270079, 0.35797320976060754, -0.04294331309365782, -0.21533127612573036, 0.09225165129619393, -0.021167986530889856, -0.12005070248182784, 0.08749388285139774, 0.1276887266678696, 0.03858690350217388, -0.19086189475901266, 0.027133426885368263, -0.08503154427447218, 0.28002130077715887, 0.0976763583640469, 0.06689604292524622, 0.12305347191447273, 0.12425637882985571, 0.03976113132220951, 0.15362003740378993, -0.0304564893879789, -0.10743293919144793, -0.29143806301215863, -0.19849260147423187, -0.22010695040126907, 0.06702290208604028, -0.038240128186558614, -0.05138799814603965, 0.32201521035204544, 0.18776864644655206, 0.10862353051755022, 0.0028546366176785943, 0.33179416796786987, 0.14571740754701673, 0.0668712751741739, 0.1390576941218782, 0.23067232958496886, 0.10645892552318091, 0.135006110362233, -0.07784523798073543, 0.1884367714160459, 0.12668759853361136] |
711.1633 | Post Main Sequence Orbital Circularization of Binary Stars in the Large
and Small Magellanic Clouds | We present results from a study of the orbits of eclipsing binary stars (EBs)
in the Magellanic Clouds. The samples comprise 4510 EBs found in the Large
Magellanic Cloud (LMC) by the MACHO project, 2474 LMC EBs found by the OGLE-II
project (of which 1182 are also in the MACHO sample), 1380 in the Small
Magellanic Cloud (SMC) found by the MACHO project, and 1317 SMC EBs found by
the OGLE-II project (of which 677 are also in the MACHO sample); we also
consider the EROS sample of 79 EBs in the bar of the LMC. Statistics of the
phase differences between primary and secondary minima allow us to infer the
statistics of orbital eccentricities within these samples. We confirm the
well-known absence of eccentric orbit in close binary stars. We also find
evidence for rapid circularization in longer period systems when one member
evolves beyond the main sequence, as also found by previous studies.
| astro-ph | we present results from a study of the orbits of eclipsing binary stars ebs in the magellanic clouds the samples comprise 4510 ebs found in the large magellanic cloud lmc by the macho project 2474 lmc ebs found by the ogleii project of which 1182 are also in the macho sample 1380 in the small magellanic cloud smc found by the macho project and 1317 smc ebs found by the ogleii project of which 677 are also in the macho sample we also consider the eros sample of 79 ebs in the bar of the lmc statistics of the phase differences between primary and secondary minima allow us to infer the statistics of orbital eccentricities within these samples we confirm the wellknown absence of eccentric orbit in close binary stars we also find evidence for rapid circularization in longer period systems when one member evolves beyond the main sequence as also found by previous studies | [['we', 'present', 'results', 'from', 'a', 'study', 'of', 'the', 'orbits', 'of', 'eclipsing', 'binary', 'stars', 'ebs', 'in', 'the', 'magellanic', 'clouds', 'the', 'samples', 'comprise', '4510', 'ebs', 'found', 'in', 'the', 'large', 'magellanic', 'cloud', 'lmc', 'by', 'the', 'macho', 'project', '2474', 'lmc', 'ebs', 'found', 'by', 'the', 'ogleii', 'project', 'of', 'which', '1182', 'are', 'also', 'in', 'the', 'macho', 'sample', '1380', 'in', 'the', 'small', 'magellanic', 'cloud', 'smc', 'found', 'by', 'the', 'macho', 'project', 'and', '1317', 'smc', 'ebs', 'found', 'by', 'the', 'ogleii', 'project', 'of', 'which', '677', 'are', 'also', 'in', 'the', 'macho', 'sample', 'we', 'also', 'consider', 'the', 'eros', 'sample', 'of', '79', 'ebs', 'in', 'the', 'bar', 'of', 'the', 'lmc', 'statistics', 'of', 'the', 'phase', 'differences', 'between', 'primary', 'and', 'secondary', 'minima', 'allow', 'us', 'to', 'infer', 'the', 'statistics', 'of', 'orbital', 'eccentricities', 'within', 'these', 'samples', 'we', 'confirm', 'the', 'wellknown', 'absence', 'of', 'eccentric', 'orbit', 'in', 'close', 'binary', 'stars', 'we', 'also', 'find', 'evidence', 'for', 'rapid', 'circularization', 'in', 'longer', 'period', 'systems', 'when', 'one', 'member', 'evolves', 'beyond', 'the', 'main', 'sequence', 'as', 'also', 'found', 'by', 'previous', 'studies']] | [-0.12623189282152922, 0.0987164463006681, -0.10823969470577374, 0.10910179301976196, -0.05496906216995417, -0.007313837360350355, 0.14380255937501188, 0.3559013410891977, -0.18124819744318243, -0.3868809880027848, 0.022221248828235174, -0.2888456813750728, -0.06990885143769124, 0.24680913857695075, -0.07566051464077206, -0.009013747101679685, 0.18286618485205597, -0.07432921569448926, -0.003100008652695725, -0.33735108635268146, 0.2648378957378408, 0.0052281141160957275, 0.1234343520936466, -0.13567359890308112, -0.011350894464750684, -0.07225532949659898, -0.09533667073889275, -0.05076273801462394, -0.14891507200175716, 0.060917748997528706, 0.23842658083285054, 0.10259400248046845, 0.19818607872472174, -0.29559519457590444, -0.12551904322819846, 0.05510227780699009, 0.2246427198856949, 0.03417336388431009, -0.030328394145885063, -0.3192497206085752, 0.126442756126785, -0.20909275517859047, -0.19664928019948064, 0.046666699966355675, 0.1403786803205167, 0.10965691875636337, -0.19683708292713778, 0.09873342459867408, 0.011574894919871322, 0.14645848286248023, -0.10963620463566434, -0.15517180754893248, -0.044641511230879734, 0.07638370677952715, 0.06628759348231758, 0.07541092682719952, 0.09713751753611911, -0.06410926383349204, -0.03184019947244275, 0.3894259262469507, -0.07368670767173172, 0.05996669738763763, 0.1959634004761615, -0.2037338988585097, -0.21058392768365242, 0.11713788555033745, 0.18638289385745602, 0.13327648463178307, -0.2168995660539123, 0.022481913525881546, -0.03543064489119476, 0.2164949331973349, 0.050081429595968896, 0.0323968511825848, 0.32901431094318057, 0.09176061200428634, 0.010404922736568315, 0.16283105059767203, -0.2908173580774136, -0.14287453595128272, -0.20432615998696776, -0.08233868133862533, -0.11282649396490606, 0.016452028844205123, -0.12710268784956555, -0.12083202170268181, 0.2718589812517166, 0.13467986496285567, 0.21949484475678013, 0.0093626017441913, 0.27492974284555644, 0.0008816302596260944, 0.12686002544970476, 0.14887761108937764, 0.3581887028360319, 0.14097082750841736, 0.09383242355599519, -0.24411928779746014, 0.0906258885147831, -0.013902770478706507] |
711.1634 | High-energy hadron physics at future facilities | We outline several directions for future investigations of the
three-dimensional structure of nucleon, including multiparton correlations,
color transparency, and branching processes at hadron colliders and at hadron
factories. We also find evidence that pQCD regime for non-vacuum Regge
trajectories sets in for $-t\ge 1 {GeV}^2$ leading to nearly t-independent
trajectories.
| hep-ph | we outline several directions for future investigations of the threedimensional structure of nucleon including multiparton correlations color transparency and branching processes at hadron colliders and at hadron factories we also find evidence that pqcd regime for nonvacuum regge trajectories sets in for tge 1 gev2 leading to nearly tindependent trajectories | [['we', 'outline', 'several', 'directions', 'for', 'future', 'investigations', 'of', 'the', 'threedimensional', 'structure', 'of', 'nucleon', 'including', 'multiparton', 'correlations', 'color', 'transparency', 'and', 'branching', 'processes', 'at', 'hadron', 'colliders', 'and', 'at', 'hadron', 'factories', 'we', 'also', 'find', 'evidence', 'that', 'pqcd', 'regime', 'for', 'nonvacuum', 'regge', 'trajectories', 'sets', 'in', 'for', 'tge', '1', 'gev2', 'leading', 'to', 'nearly', 'tindependent', 'trajectories']] | [-0.06265402869903483, 0.25857501063495875, -0.1394354486092925, 0.1600536320824176, -0.0032522651180624963, -0.11056959420442582, 0.013866226971149444, 0.40443002235144376, -0.1946526826173067, -0.15027638725936412, -0.030724630032200367, -0.36864085257053375, 0.013864843621850014, 0.1837922041863203, 0.11607316970825195, 0.13428364887833596, 0.11801490033045411, -0.06729160497896373, -0.007402070867829025, -0.17560856438940392, 0.3129537260904908, 0.048792975284159185, 0.20435705814510585, 0.1692300179414451, 0.10668014042079449, 0.0795635234285146, 0.002508867017459124, -0.0254426453076303, -0.1656831108640472, 0.025930931997208972, 0.33274414263665675, 0.07072574401274323, 0.13020027418155222, -0.35443261738866566, -0.11348113108426333, 0.07689652700908482, 0.20238992802798747, 0.13671085014007986, -0.05378194073215127, -0.25372371308505537, 0.1065494920720812, -0.17629995063878595, -0.21177585556171835, -0.18073281295597554, 0.05821558992378414, -0.06929601872339845, -0.34923293234431185, 0.07600509020907338, -0.027408906714990734, 0.038897021785378454, -0.007761111622676254, -0.2336606883071363, -0.0015477416850626468, 0.03625448441132903, 0.0781422613747418, 0.056131598693318664, 0.1400389247946441, -0.23467589342966677, -0.2468596800416708, 0.3634427201002836, 0.024695412600412966, -0.11474319472908974, 0.15492884455248712, -0.3296413300931454, -0.20543704204261304, 0.11958771770820022, 0.282453160174191, 0.05235791250015609, -0.1875104882020969, 0.12288331917254254, 0.03425517776049673, 0.08839574840851128, 0.13114563727751374, 0.11266018745489419, 0.2157730534579605, 0.21219811229035257, 0.021013191370293498, 0.02373030362650752, -0.0973094396200031, -0.10172549549490213, -0.46690726920962333, -0.09830818079411983, -0.03491159220226109, 0.043669815924949944, -0.10351151937560645, -0.07794174619019031, 0.34417644842527806, 0.13752138685435056, 0.27503184355795385, 0.06303949976339936, 0.2858308995515108, 0.030479994174093007, 0.022499089278280735, 0.1290229575149715, 0.27021729983389375, 0.11617939956486226, 0.17938214587513357, -0.22694987947121262, -0.017475933098903624, 0.024774814750999213] |
711.1635 | Three-body scattering in Poincar\'e invariant quantum mechanics | The relativistic three-nucleon problem is formulated by constructing a
dynamical unitary representation of the Poincar\'e group on the three-nucleon
Hilbert space. Two-body interactions are included that preserve the Poincar\'e
symmetry, lead to the same invariant two-body S-matrix as the corresponding
non-relativistic problem, and result in a three-body S-matrix satisfying
cluster properties. The resulting Faddeev equations are solved by direct
integration, without partial waves for both elastic and breakup reactions at
laboratory energies up to 2 Gev.
| nucl-th | the relativistic threenucleon problem is formulated by constructing a dynamical unitary representation of the poincare group on the threenucleon hilbert space twobody interactions are included that preserve the poincare symmetry lead to the same invariant twobody smatrix as the corresponding nonrelativistic problem and result in a threebody smatrix satisfying cluster properties the resulting faddeev equations are solved by direct integration without partial waves for both elastic and breakup reactions at laboratory energies up to 2 gev | [['the', 'relativistic', 'threenucleon', 'problem', 'is', 'formulated', 'by', 'constructing', 'a', 'dynamical', 'unitary', 'representation', 'of', 'the', 'poincare', 'group', 'on', 'the', 'threenucleon', 'hilbert', 'space', 'twobody', 'interactions', 'are', 'included', 'that', 'preserve', 'the', 'poincare', 'symmetry', 'lead', 'to', 'the', 'same', 'invariant', 'twobody', 'smatrix', 'as', 'the', 'corresponding', 'nonrelativistic', 'problem', 'and', 'result', 'in', 'a', 'threebody', 'smatrix', 'satisfying', 'cluster', 'properties', 'the', 'resulting', 'faddeev', 'equations', 'are', 'solved', 'by', 'direct', 'integration', 'without', 'partial', 'waves', 'for', 'both', 'elastic', 'and', 'breakup', 'reactions', 'at', 'laboratory', 'energies', 'up', 'to', '2', 'gev']] | [-0.13141382018128703, 0.18063937841246738, -0.11288967945285167, 0.11693849265851129, -0.047253291790471656, -0.10034318304602302, -0.055629606597664714, 0.29351967304797943, -0.2729149440818123, -0.25656020721592204, -0.030896541180003335, -0.27403595876929004, -0.06486769575674675, 0.11379470714171858, 0.0899135135114193, 0.14447181821359614, 0.09753376972788062, 0.04571613784585344, -0.14581790772622058, -0.21240682218922302, 0.3666167682722995, 0.03039543442183027, 0.14644643603088825, 0.08138827742445037, 0.09912622605425943, 0.08804273347394835, 0.014787974130166205, -0.0899224937958551, -0.08843028222834523, 0.08160107183012817, 0.30170456582900923, 0.01903555210753295, 0.16031064765870964, -0.48292915652947205, -0.17354028993041107, 0.076754479895738, 0.15182134060274907, 0.12731335091551668, -0.006341712606004684, -0.38802134846092057, 0.01547430272483708, -0.20865331418616206, -0.2005428387538383, -0.12041965433347382, 0.039993195917065204, -0.060881479787272645, -0.24104966414406112, 0.11079501967239928, 0.01196210317146707, 0.03365676176403404, -0.1502580414648707, -0.10630859095774788, -0.02854778049329884, 0.05744458339789784, 0.034098992706276476, 0.056145642007897165, 0.14161314890340068, -0.1229570947685524, -0.10539450924108296, 0.47905786423698854, 0.022638758848954336, -0.2540754224786437, 0.15634234210990958, -0.09831890205264483, -0.15516483512903123, 0.18518736273797817, 0.16583029751812942, 0.07165964274961305, -0.19306105046876168, 0.1830472749838679, -0.06451911645126529, 0.08410658395702117, 0.14199814222458945, 0.00035011044115220244, 0.10211761841415673, 0.08445333203876783, 0.04796421489874391, 0.04765949359065608, -0.004377050892033271, -0.15460256585165075, -0.39137674990649285, -0.07593350097733109, -0.12442173007998224, 0.06298000850151048, -0.07902384575381323, -0.08839492426302872, 0.306756720786277, 0.03867600762322055, 0.1538179014368277, 0.07284319576023049, 0.24266765977403051, 0.17095965947067415, 0.0863913705229367, 0.05345078046115017, 0.3020468102032809, 0.20747189866501445, 0.016273564175016395, -0.30360011458029285, -0.030270309674578083, 0.20742217776990546] |
711.1636 | The future of charm physics: a discussion | We closed the CHARM 2007 workshop with a lively panel discussion on the
future of the field. This document presents a summary of the key points, and a
lightly edited transcript of the discussion itself.
| hep-ex hep-ph | we closed the charm 2007 workshop with a lively panel discussion on the future of the field this document presents a summary of the key points and a lightly edited transcript of the discussion itself | [['we', 'closed', 'the', 'charm', '2007', 'workshop', 'with', 'a', 'lively', 'panel', 'discussion', 'on', 'the', 'future', 'of', 'the', 'field', 'this', 'document', 'presents', 'a', 'summary', 'of', 'the', 'key', 'points', 'and', 'a', 'lightly', 'edited', 'transcript', 'of', 'the', 'discussion', 'itself']] | [-0.12211823165416717, 0.10196447800844907, -0.06376329330461365, 0.023953019810973534, -0.12662936870640676, -0.09895946134680084, 0.10512010071958815, 0.2702581022466932, -0.19288888793172582, -0.29095054030684486, 0.1006127660162747, -0.32123672339533055, -0.10284852256466236, 0.17471884627427373, -0.14596470602388892, 0.00671308430443917, 0.13333706355520658, 0.06070910420800958, -0.02479057782329619, -0.339294523107154, 0.3340078884469611, 0.13097626300794737, 0.27466346366064887, 0.0984933172485658, 0.06969176373843636, 0.034837681094982795, -0.16278172768652438, -0.021227853186428548, -0.1674676290305797, 0.2015686470749123, 0.27862624527354324, 0.18115461215243808, 0.3209590044138687, -0.4111945703625679, -0.12449940445699863, -0.026779232706342426, 0.07599000020750932, 0.11527078502944538, -0.09342382996276553, -0.3504506408636059, -0.024594118041984206, -0.17088987529277802, -0.09492877753717559, -0.00651726307613509, 0.02240438203526927, 0.0004361071756907872, -0.1368887432052621, 0.03512727711349726, 0.09737054982355663, 0.19969951518412146, 0.014967901392706803, -0.1896060276244368, 0.047996999456414155, 0.08936477009337977, 0.07795364350978551, 0.15163665295445494, 0.12540747987638626, -0.1149165748418974, -0.09542029715542283, 0.37844870952623233, -0.03548054503543036, -0.10021871004719288, 0.10568204186856747, -0.15109088223959719, -0.16425949284540756, 0.03285923038742372, 0.2409380722258772, 0.0574994440123971, -0.21455760803073645, 0.08717492730855676, -0.07055695470688599, 0.18942873138003052, 0.010696787413741861, -0.053699539921113426, 0.29411192089319227, 0.27819871439465454, -0.05273212252983025, 0.10039057843387127, -0.07153689450850444, -0.0875460274251444, -0.39191881119539695, -0.2135166295271899, -0.07336156079545617, 0.03379425097789083, -0.004532968526889038, -0.20065161500658307, 0.4922076130551951, 0.12400345828916345, 0.20565833023616245, -0.06717835393335138, 0.27467847407928536, 0.025592702590594336, -0.04606316765504224, 0.07480747444289071, 0.11520879239376103, 0.08478858997779233, 0.1765671242161521, -0.1336570796689817, 0.036666537089539424, 0.04375195811901774] |
711.1637 | Recent star formation in high-redshift early-type galaxies: insights
from the rest-frame UV | We combine deep UBVRIzJK photometry from the MUSYC survey with redshifts from
the COMBO-17 survey to study the rest-frame ultraviolet (UV) properties of 674
high-redshift (0.5<z<1) early-type galaxies, drawn from the Extended Chandra
Deep Field South (E-CDFS). Galaxy morphologies are determined through visual
inspection of Hubble Space Telescope (HST) images taken from the GEMS survey.
We harness the sensitivity of the UV to young (<1 Gyrs old) stars to quantify
the recent star formation history of the early-type population. We find
compelling evidence that early-types of all luminosities form stars over the
lifetime of the Universe, although the bulk of their star formation is already
complete at high redshift. Luminous (-23<M(V)<-20.5) early-types form 10-15
percent of their mass after z=1, while their less luminous (M(V)>-20.5)
counterparts form 30-60 percent of their mass in the same redshift range.
| astro-ph | we combine deep ubvrizjk photometry from the musyc survey with redshifts from the combo17 survey to study the restframe ultraviolet uv properties of 674 highredshift 05z1 earlytype galaxies drawn from the extended chandra deep field south ecdfs galaxy morphologies are determined through visual inspection of hubble space telescope hst images taken from the gems survey we harness the sensitivity of the uv to young 1 gyrs old stars to quantify the recent star formation history of the earlytype population we find compelling evidence that earlytypes of all luminosities form stars over the lifetime of the universe although the bulk of their star formation is already complete at high redshift luminous 23mv205 earlytypes form 1015 percent of their mass after z1 while their less luminous mv205 counterparts form 3060 percent of their mass in the same redshift range | [['we', 'combine', 'deep', 'ubvrizjk', 'photometry', 'from', 'the', 'musyc', 'survey', 'with', 'redshifts', 'from', 'the', 'combo17', 'survey', 'to', 'study', 'the', 'restframe', 'ultraviolet', 'uv', 'properties', 'of', '674', 'highredshift', '05z1', 'earlytype', 'galaxies', 'drawn', 'from', 'the', 'extended', 'chandra', 'deep', 'field', 'south', 'ecdfs', 'galaxy', 'morphologies', 'are', 'determined', 'through', 'visual', 'inspection', 'of', 'hubble', 'space', 'telescope', 'hst', 'images', 'taken', 'from', 'the', 'gems', 'survey', 'we', 'harness', 'the', 'sensitivity', 'of', 'the', 'uv', 'to', 'young', '1', 'gyrs', 'old', 'stars', 'to', 'quantify', 'the', 'recent', 'star', 'formation', 'history', 'of', 'the', 'earlytype', 'population', 'we', 'find', 'compelling', 'evidence', 'that', 'earlytypes', 'of', 'all', 'luminosities', 'form', 'stars', 'over', 'the', 'lifetime', 'of', 'the', 'universe', 'although', 'the', 'bulk', 'of', 'their', 'star', 'formation', 'is', 'already', 'complete', 'at', 'high', 'redshift', 'luminous', '23mv205', 'earlytypes', 'form', '1015', 'percent', 'of', 'their', 'mass', 'after', 'z1', 'while', 'their', 'less', 'luminous', 'mv205', 'counterparts', 'form', '3060', 'percent', 'of', 'their', 'mass', 'in', 'the', 'same', 'redshift', 'range']] | [0.0023418599739670753, 0.07057403170489776, -0.0826414844139354, 0.11864552922536438, -0.160570186297861, 0.027982758538825297, 0.05763626259181704, 0.497368294801285, -0.07630807207549797, -0.37523182114558434, 0.03169866557903727, -0.3318290253206323, 0.011466666267239559, 0.18884996873965798, -0.03367843279100732, -0.06697984710474734, 0.06219189111386606, -0.13957147809343218, -0.058742907040521375, -0.41085200167413966, 0.287736209415233, 0.054968675452114237, 0.1634296152824119, -0.12237960599196046, 0.07507010031345565, -0.10891479555753741, -0.15208798795660486, -0.044053627814230535, -0.21990870562263237, 0.01525549444308289, 0.26752124523827386, 0.19527643541830422, 0.2795796899416887, -0.3089278740530361, -0.17408335104640296, 0.08023388245240298, 0.22429718754476688, 0.008159724614103395, -0.07757202642031515, -0.3155402996292366, 0.05155093289751893, -0.16960565091819682, -0.1642513677704586, 0.10400949873433296, 0.007346473752911708, 0.020247427650654355, -0.13597553999184062, 0.1857947947182901, -0.05994051282725005, 0.15001068700716566, -0.18330054496998774, -0.09592829120637321, -0.11741952551615689, 0.0874601978662688, -0.017082148997822025, 0.11963705098909784, 0.18785100300629526, -0.25313897669635044, 0.0414045017365533, 0.39862998444308984, -0.05544828325892284, 0.15795736586429185, 0.23057348585562476, -0.26035485863546604, -0.19183707538533457, 0.14504428457298468, 0.17450904829250372, 0.12397811111799482, -0.21551484898177545, 0.035461642219921326, 0.006025713308950636, 0.2369945185943576, 0.04761664667027766, 0.15119869146791873, 0.36041168521033295, 0.0898947300886346, 0.015027978320244644, 0.07821718554026377, -0.23653492608816543, 0.0016092638999446116, -0.21132476889674287, -0.05678560524925228, -0.10784752911856788, 0.16928104999989493, -0.18564499994573086, -0.08547350161086852, 0.33323082960134287, 0.11814932040644309, 0.2149878683996929, 0.1550776118051205, 0.2887706052713485, 0.013572210734432091, 0.20366302372387318, 0.0699195182906575, 0.3582467384525199, 0.17113326788087613, 0.09262128267176588, -0.19654663095125624, -0.012408071697112728, -0.021306674677267004] |
711.1638 | The Classification of Spun Torus Knots | S. Satoh has defined a construction to obtain a ribbon torus knot given a
welded knot. This construction is known to be surjective. We show that it is
not injective. Using the invariant of the peripheral structure, it is possible
to provide a restriction on this failure of injectivity. In particular we also
provide an algebraic classification of the construction when restricted to
classical knots, where it is equivalent to the torus spinning construction.
| math.GT | s satoh has defined a construction to obtain a ribbon torus knot given a welded knot this construction is known to be surjective we show that it is not injective using the invariant of the peripheral structure it is possible to provide a restriction on this failure of injectivity in particular we also provide an algebraic classification of the construction when restricted to classical knots where it is equivalent to the torus spinning construction | [['s', 'satoh', 'has', 'defined', 'a', 'construction', 'to', 'obtain', 'a', 'ribbon', 'torus', 'knot', 'given', 'a', 'welded', 'knot', 'this', 'construction', 'is', 'known', 'to', 'be', 'surjective', 'we', 'show', 'that', 'it', 'is', 'not', 'injective', 'using', 'the', 'invariant', 'of', 'the', 'peripheral', 'structure', 'it', 'is', 'possible', 'to', 'provide', 'a', 'restriction', 'on', 'this', 'failure', 'of', 'injectivity', 'in', 'particular', 'we', 'also', 'provide', 'an', 'algebraic', 'classification', 'of', 'the', 'construction', 'when', 'restricted', 'to', 'classical', 'knots', 'where', 'it', 'is', 'equivalent', 'to', 'the', 'torus', 'spinning', 'construction']] | [-0.1551560671068728, 0.05962743407065785, -0.12073724684179635, 0.09203997190500535, -0.13958951769824568, -0.1835920956942278, -0.010204279895972562, 0.3753081755964337, -0.3085450679567215, -0.23410027340130024, 0.1249356705418511, -0.161540912721476, -0.1731914098475229, 0.20288870649135396, -0.1673425526383358, -0.023707906690401, 0.05466583222024948, 0.1058902371166639, -0.0923790396796854, -0.2636473332374432, 0.3286179887583932, 0.041474980365082216, 0.17411724806486353, 0.09479012490703247, 0.08933633903192507, -0.017212055875240145, -0.007764010224491358, 0.006544590562682699, -0.19096080861669867, 0.11779921081206585, 0.26911801468215985, 0.1108842197604276, 0.12276654980283834, -0.3268184232450015, -0.1538274784909083, 0.15903762184284828, 0.12013831754793992, 0.05495738479736689, 0.005242692827360352, -0.23671245884553, 0.11621815158129745, -0.1892640182207263, -0.15936303343875585, -0.051361569782366626, 0.0971776122365751, -0.023004707892903604, -0.20766977515666293, -0.03956160458108423, 0.1473105760240877, 0.0530407349830745, 0.0008555949363555457, -0.015092700491722271, -0.03997610607562033, 0.12111493891515655, 0.014217475982936652, 0.13170085289213504, 0.11644894023098655, -0.08365135931888142, -0.10296521859394538, 0.399763101762211, -0.024100118927103845, -0.27076886873692274, 0.18550947214778815, -0.12547324758929176, -0.19608824523920948, 0.19037294509896152, 0.04436200421706245, 0.12384867987192764, -0.057791223987265224, 0.11585886903560243, -0.19620913375370405, 0.133848779608269, 0.0797150835671739, -0.015827997203765286, 0.1326691305958603, 0.1343716641044798, 0.10884735738934093, 0.23667536281848428, -0.03277862624177155, -0.017080185205732297, -0.3410058990120888, -0.18828344241420208, -0.16059941369914324, 0.16489000919584115, -0.03363060822232148, -0.21954461603702322, 0.36765770473190257, 0.08189279630361754, 0.18867380377156912, 0.11327782019617262, 0.2689097346234563, 0.09471593865797527, 0.09238281257047846, 0.10137448935593302, 0.18264121499315306, 0.18024391449383786, -0.031841614101132426, -0.12753896895997427, -0.006299144141627727, 0.169407521299011] |
711.1639 | The Kolkata Paise Restaurant Problem and Resource Utilization | We study the dynamics of the "Kolkata Paise Restaurant problem". The problem
is the following: In each period, N agents have to choose between N
restaurants. Agents have a common ranking of the restaurants. Restaurants can
only serve one customer. When more than one customer arrives at the same
restaurant, one customer is chosen at random and is served; the others do not
get the service. We first introduce the one-shot versions of the Kolkata Paise
Restaurant problem which we call one-shot KPR games. We then study the dynamics
of the Kolkata Paise Restaurant problem (which is a repeated game version of
any given one shot KPR game) for large N. For statistical analysis, we explore
the long time steady state behavior. In many such models with myopic agents we
get under-utilization of resources, that is, we get a lower aggregate payoff
compared to the social optimum. We study a number of myopic strategies,
focusing on the average occupation fraction of restaurants.
| physics.soc-ph | we study the dynamics of the kolkata paise restaurant problem the problem is the following in each period n agents have to choose between n restaurants agents have a common ranking of the restaurants restaurants can only serve one customer when more than one customer arrives at the same restaurant one customer is chosen at random and is served the others do not get the service we first introduce the oneshot versions of the kolkata paise restaurant problem which we call oneshot kpr games we then study the dynamics of the kolkata paise restaurant problem which is a repeated game version of any given one shot kpr game for large n for statistical analysis we explore the long time steady state behavior in many such models with myopic agents we get underutilization of resources that is we get a lower aggregate payoff compared to the social optimum we study a number of myopic strategies focusing on the average occupation fraction of restaurants | [['we', 'study', 'the', 'dynamics', 'of', 'the', 'kolkata', 'paise', 'restaurant', 'problem', 'the', 'problem', 'is', 'the', 'following', 'in', 'each', 'period', 'n', 'agents', 'have', 'to', 'choose', 'between', 'n', 'restaurants', 'agents', 'have', 'a', 'common', 'ranking', 'of', 'the', 'restaurants', 'restaurants', 'can', 'only', 'serve', 'one', 'customer', 'when', 'more', 'than', 'one', 'customer', 'arrives', 'at', 'the', 'same', 'restaurant', 'one', 'customer', 'is', 'chosen', 'at', 'random', 'and', 'is', 'served', 'the', 'others', 'do', 'not', 'get', 'the', 'service', 'we', 'first', 'introduce', 'the', 'oneshot', 'versions', 'of', 'the', 'kolkata', 'paise', 'restaurant', 'problem', 'which', 'we', 'call', 'oneshot', 'kpr', 'games', 'we', 'then', 'study', 'the', 'dynamics', 'of', 'the', 'kolkata', 'paise', 'restaurant', 'problem', 'which', 'is', 'a', 'repeated', 'game', 'version', 'of', 'any', 'given', 'one', 'shot', 'kpr', 'game', 'for', 'large', 'n', 'for', 'statistical', 'analysis', 'we', 'explore', 'the', 'long', 'time', 'steady', 'state', 'behavior', 'in', 'many', 'such', 'models', 'with', 'myopic', 'agents', 'we', 'get', 'underutilization', 'of', 'resources', 'that', 'is', 'we', 'get', 'a', 'lower', 'aggregate', 'payoff', 'compared', 'to', 'the', 'social', 'optimum', 'we', 'study', 'a', 'number', 'of', 'myopic', 'strategies', 'focusing', 'on', 'the', 'average', 'occupation', 'fraction', 'of', 'restaurants']] | [-0.10798182647982842, 0.07728673732856771, -0.10065919261448729, 0.10441784456122184, -0.0821874728138892, -0.19985598368271265, 0.14039583558814578, 0.38703025549788167, -0.26946409482416916, -0.2876601973958141, 0.09530659861874158, -0.34136892116433126, -0.09221819854186226, 0.09714274013624814, -0.11726908889645135, -0.018643642462399086, 0.0690939794725704, 0.13677446259024703, 0.047948767863685425, -0.3307276399731406, 0.2869236453861734, 0.024467264526282197, 0.2570196128404343, -0.00902752144791094, 0.10315412134262676, 0.059861797365118506, 0.026767498666074207, -0.014579067219416668, -0.12976106290475006, 0.06463834364829515, 0.2916537099930411, 0.19860143666328103, 0.43075143129645305, -0.4169952388001997, -0.12503615866076018, 0.1680628874419648, 0.10493013994117198, 0.10147751795909839, 0.032637755828029275, -0.27834743290656694, 0.06979112167279293, -0.23662956575230684, -0.04595577608891705, 0.005303351059096095, -0.015089485555726253, 0.037524141635699775, -0.28482799964416544, -0.01220069730063614, 0.01496388452604735, 0.022990490407625467, -0.046487137824756865, -0.14067807016365322, 0.030218666614849628, 0.24524339870783288, 0.05650928719572861, -0.03504220616319619, 0.13812052879344533, -0.15093316891472097, -0.17869081986021756, 0.4005643246051522, -0.038714078728294285, -0.16024498582852106, 0.1411341895165359, -0.11255848602561372, -0.16559760320793698, 0.05287017018597481, 0.22121855833159507, 0.14745163696496116, -0.14844067031303837, 0.0025825557053911234, -0.1338822800827063, 0.1623548013733033, 0.09527062090332217, 0.005309266927163404, 0.13611143286825722, 0.23054164067272925, 0.15014042138706973, 0.14824565585967106, -0.015020778832416752, -0.14380686112714033, -0.19019966980982803, -0.14156888443171795, -0.17349837519613634, 0.07674324419358415, -0.08594279268023164, -0.12703965563488043, 0.36437701439645925, 0.15393769315351952, 0.16102550367617774, 0.12445977054224465, 0.25932560974939, 0.10304527308570544, -0.014883430861781012, 0.11576641691463459, 0.11521712487942919, -0.033597909184287726, 0.1688412826782794, -0.16786326764059473, 0.13800802781177615, 0.08053963543720727] |
711.164 | Decay Rate Statistics of Unstable Classically Chaotic Systems | Decay law of a complicated unstable state formed in a high energy collision
is described by the Fourier transform of the two-point correlation function of
the scattering matrix. Although each constituent resonance state decays
exponentially the decay of a state composed of a large number of such
interfering resonances is not, generally, exponential. We introduce the decay
rates distribution function by representing the decay law in the form of the
mean-weighted decay exponent. In the framework of the random matrix approach we
investigate the properties of the new distribution function and its relation to
the more conventional statistics of the decay widths. The latter is not in fact
conclusive as concerns the evolution during the time shorter than the
characteristic Heisenberg time. Exact analytical consideration is presented for
the case of systems without time reversal symmetry.
| cond-mat.mes-hall cond-mat.dis-nn | decay law of a complicated unstable state formed in a high energy collision is described by the fourier transform of the twopoint correlation function of the scattering matrix although each constituent resonance state decays exponentially the decay of a state composed of a large number of such interfering resonances is not generally exponential we introduce the decay rates distribution function by representing the decay law in the form of the meanweighted decay exponent in the framework of the random matrix approach we investigate the properties of the new distribution function and its relation to the more conventional statistics of the decay widths the latter is not in fact conclusive as concerns the evolution during the time shorter than the characteristic heisenberg time exact analytical consideration is presented for the case of systems without time reversal symmetry | [['decay', 'law', 'of', 'a', 'complicated', 'unstable', 'state', 'formed', 'in', 'a', 'high', 'energy', 'collision', 'is', 'described', 'by', 'the', 'fourier', 'transform', 'of', 'the', 'twopoint', 'correlation', 'function', 'of', 'the', 'scattering', 'matrix', 'although', 'each', 'constituent', 'resonance', 'state', 'decays', 'exponentially', 'the', 'decay', 'of', 'a', 'state', 'composed', 'of', 'a', 'large', 'number', 'of', 'such', 'interfering', 'resonances', 'is', 'not', 'generally', 'exponential', 'we', 'introduce', 'the', 'decay', 'rates', 'distribution', 'function', 'by', 'representing', 'the', 'decay', 'law', 'in', 'the', 'form', 'of', 'the', 'meanweighted', 'decay', 'exponent', 'in', 'the', 'framework', 'of', 'the', 'random', 'matrix', 'approach', 'we', 'investigate', 'the', 'properties', 'of', 'the', 'new', 'distribution', 'function', 'and', 'its', 'relation', 'to', 'the', 'more', 'conventional', 'statistics', 'of', 'the', 'decay', 'widths', 'the', 'latter', 'is', 'not', 'in', 'fact', 'conclusive', 'as', 'concerns', 'the', 'evolution', 'during', 'the', 'time', 'shorter', 'than', 'the', 'characteristic', 'heisenberg', 'time', 'exact', 'analytical', 'consideration', 'is', 'presented', 'for', 'the', 'case', 'of', 'systems', 'without', 'time', 'reversal', 'symmetry']] | [-0.14883825014711713, 0.1831749291261932, -0.11625380122089102, 0.11749195979278096, -0.029529596728988347, -0.10004087741253898, 0.01514879945299232, 0.31287730479722514, -0.2798732514219249, -0.24962319885654485, 0.06610147170003448, -0.26537614981862134, -0.08108055904963027, 0.15582067889900988, 0.0671857513302444, 0.09507798204867868, 0.033757323017412355, 0.061493958195890576, -0.08048954073284917, -0.1889332315117559, 0.31190300159676765, 0.04369554695029579, 0.2924463290032958, 0.02061689196168171, 0.025110595462405506, 0.04222618013120476, -0.012878920177600402, -0.052130589696496504, -0.10717009962193996, 0.06993565796052709, 0.14358391354942476, 0.11316033978672589, 0.23608871261411182, -0.40388366738882137, -0.1743508571799954, 0.12523354306775966, 0.1958930614637211, 0.08436965711435358, -0.04435369768511651, -0.28358015975476625, 0.073452949143008, -0.1699142188333687, -0.16068276189445682, -0.019587910453350666, 0.05299913480549174, 0.015630343429032054, -0.2735401794917005, 0.15890054105822107, 0.06346170053481781, 0.02213127414271345, -0.06168448909182403, -0.10450951047310167, 0.027144318718723404, 0.11320578789352165, 0.08907988749150023, -0.01593012101126506, 0.11898464512769887, -0.13681205451447406, -0.07537085921392324, 0.3461397108784534, -0.0825446928935408, -0.2006448919487679, 0.13742300778668484, -0.20089901114047012, -0.08382299789638423, 0.18670730213018352, 0.15230967650217386, 0.1255873023856111, -0.13386488523717752, 0.07793225671182025, -0.0034886666655759603, 0.1848957048564711, 0.027416487306575563, 0.08188457614468302, 0.15506409082616515, 0.1623787657607703, 0.022723301074138898, 0.15514251455555067, -0.06115619718398461, -0.13681000320117592, -0.332466826760484, -0.17003299799484117, -0.2305628761429997, 0.07968490428538644, -0.06512015030763424, -0.16743730976218907, 0.4226140730093261, 0.04490690594128169, 0.2386193969697856, 0.08823830390396967, 0.28735457726425545, 0.1938766708917683, 0.08223785031997763, 0.04281268815563689, 0.2404556172379457, 0.1540152444564121, 0.09720689029884799, -0.2666534462409532, 0.11438308561029022, 0.05014730789287783] |
711.1641 | Features of holographic dark energy under the combined cosmological
constraints | We investigate the observational signatures of the holographic dark energy
models in this paper, including both the original model and a model with an
interaction term between the dark energy and dark matter. We first delineate
the dynamical behavior of such models, especially whether they would have "Big
Rip" for different parameters, then we use several recent observations,
including 182 high-quality type Ia supernovae data observed with the Hubble
Space Telescope, the SNLS and ESSENCE surveys, 42 latest Chandra X-ray cluster
gas mass fraction, 27 high-redshift gamma-ray burst samples, the baryon
acoustic oscillation measurement from the Sloan Digital Sky Survey, and the CMB
shift parameter from WMAP three years result to give more reliable and tighter
constraints on the holographic dark energy models. The results of our
constraints for the holographic dark energy model without interaction is
$c=0.748^{+0.108}_{-0.009}$, $\Omega_{\mathrm{m0}}=0.276^{+0.017}_{-0.016}$,
and for model with interaction ($c=0.692^{+0.135}_{-0.107}$,
$\Omega_{\mathrm{m0}}=0.281^{+0.017}_{-0.017}$ ,$\alpha=-0.006
^{+0.021}_{-0.024}$, where $\alpha$ is an interacting parameter). As these
models have more parameters than the $\Lambda$CDM model, we use the Bayesian
evidence as a model selection criterion to make comparison. We found that the
holographic dark energy models are mildly favored by the observations compared
with the $\mathrm{\Lambda CDM}$ model.
| astro-ph hep-th | we investigate the observational signatures of the holographic dark energy models in this paper including both the original model and a model with an interaction term between the dark energy and dark matter we first delineate the dynamical behavior of such models especially whether they would have big rip for different parameters then we use several recent observations including 182 highquality type ia supernovae data observed with the hubble space telescope the snls and essence surveys 42 latest chandra xray cluster gas mass fraction 27 highredshift gammaray burst samples the baryon acoustic oscillation measurement from the sloan digital sky survey and the cmb shift parameter from wmap three years result to give more reliable and tighter constraints on the holographic dark energy models the results of our constraints for the holographic dark energy model without interaction is c07480108_0009 omega_mathrmm002760017_0016 and for model with interaction c06920135_0107 omega_mathrmm002810017_0017 alpha0006 0021_0024 where alpha is an interacting parameter as these models have more parameters than the lambdacdm model we use the bayesian evidence as a model selection criterion to make comparison we found that the holographic dark energy models are mildly favored by the observations compared with the mathrmlambda cdm model | [['we', 'investigate', 'the', 'observational', 'signatures', 'of', 'the', 'holographic', 'dark', 'energy', 'models', 'in', 'this', 'paper', 'including', 'both', 'the', 'original', 'model', 'and', 'a', 'model', 'with', 'an', 'interaction', 'term', 'between', 'the', 'dark', 'energy', 'and', 'dark', 'matter', 'we', 'first', 'delineate', 'the', 'dynamical', 'behavior', 'of', 'such', 'models', 'especially', 'whether', 'they', 'would', 'have', 'big', 'rip', 'for', 'different', 'parameters', 'then', 'we', 'use', 'several', 'recent', 'observations', 'including', '182', 'highquality', 'type', 'ia', 'supernovae', 'data', 'observed', 'with', 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711.1642 | The Symplectic Geometry of Penrose Rhombus Tilings | The purpose of this article is to view Penrose rhombus tilings from the
perspective of symplectic geometry. We show that each thick rhombus in such a
tiling can be naturally associated to a highly singular 4-dimensional compact
symplectic space, while each thin rhombus can be associated to another such
space; both spaces are invariant under the Hamiltonian action of a
2-dimensional quasitorus, and the images of the corresponding moment mappings
give the rhombuses back. These two spaces are diffeomorphic but not
symplectomorphic.
| math.SG math-ph math.GT math.MP | the purpose of this article is to view penrose rhombus tilings from the perspective of symplectic geometry we show that each thick rhombus in such a tiling can be naturally associated to a highly singular 4dimensional compact symplectic space while each thin rhombus can be associated to another such space both spaces are invariant under the hamiltonian action of a 2dimensional quasitorus and the images of the corresponding moment mappings give the rhombuses back these two spaces are diffeomorphic but not symplectomorphic | [['the', 'purpose', 'of', 'this', 'article', 'is', 'to', 'view', 'penrose', 'rhombus', 'tilings', 'from', 'the', 'perspective', 'of', 'symplectic', 'geometry', 'we', 'show', 'that', 'each', 'thick', 'rhombus', 'in', 'such', 'a', 'tiling', 'can', 'be', 'naturally', 'associated', 'to', 'a', 'highly', 'singular', '4dimensional', 'compact', 'symplectic', 'space', 'while', 'each', 'thin', 'rhombus', 'can', 'be', 'associated', 'to', 'another', 'such', 'space', 'both', 'spaces', 'are', 'invariant', 'under', 'the', 'hamiltonian', 'action', 'of', 'a', '2dimensional', 'quasitorus', 'and', 'the', 'images', 'of', 'the', 'corresponding', 'moment', 'mappings', 'give', 'the', 'rhombuses', 'back', 'these', 'two', 'spaces', 'are', 'diffeomorphic', 'but', 'not', 'symplectomorphic']] | [-0.1379667245726124, 0.10348750444600449, -0.06099725171934995, 0.09472252652844096, -0.1243767728063664, -0.12004859487117245, -0.04524559733988831, 0.4068171811636492, -0.343123263338717, -0.20475511070874677, 0.15904315925208942, -0.2795719669041474, -0.17584431991435406, 0.16803590165133156, -0.1789308209653671, -0.005471382943186455, 0.04601719149774531, 0.04648220012668611, -0.14483362460997318, -0.24881973776330307, 0.3976404231450543, -0.025276765127938878, 0.23224649455386964, -0.009570525451591693, 0.11570499055428295, -0.033749974645083634, 0.03544536969346199, 0.05973560829212458, -0.11949255271211746, 0.1405568956283898, 0.24484364491910104, 0.048133735113391064, 0.1543636068122507, -0.40642631746737695, -0.14310285956144514, 0.15155178788345217, 0.1438455748678435, 0.044379157261218785, -0.021627768726519694, -0.31053960672011827, 0.06529253937883257, -0.08442036793907969, -0.1467236008313371, -0.0955957420704114, -0.01752867332017958, 0.0032900085143188424, -0.20876873018029826, -0.037428832346028305, 0.13645830111032942, 0.02393629282667506, -0.08744854226469903, -0.05550676476346647, -0.09038596045475726, 0.11018214088285387, 0.007915310115871451, 0.09702385717821194, 0.1082039323533181, -0.01820578078296399, -0.10971510009385826, 0.41702849394357877, 0.010199452429532824, -0.30774038925585223, 0.16038272402635434, -0.17396392624700305, -0.16371693870154913, 0.18747352181774815, 0.12154237808739175, 0.14448689856770924, -0.11938986098166646, 0.14823325249727065, -0.12187421566625012, 0.0863770389952129, 0.12538705486804247, -0.007272137436879481, 0.23969716676397296, 0.10025969235135651, 0.13631619547107598, 0.175929934697839, -0.05485235915161533, -0.11923922345513568, -0.3212450253436478, -0.18909209702027643, -0.1426237067491634, 0.13488420508195015, -0.14054780828794208, -0.2013661825302534, 0.3566616163816212, 0.04701263272407942, 0.24097393136812237, 0.04905446769851374, 0.22261116222092292, 0.03704917694089889, 0.06738980452916245, 0.03510911706494304, 0.1496499444971361, 0.1206652096404535, -0.00676102852203923, -0.10166243908120455, -0.05151887263864188, 0.16954999695327588] |
711.1643 | A Measurable-Group-Theoretic Solution to von Neumann's Problem | We give a positive answer, in the measurable-group-theory context, to von
Neumann's problem of knowing whether a non-amenable countable discrete group
contains a non-cyclic free subgroup. We also get an embedding result of the
free-group von Neumann factor into restricted wreath product factors.
| math.GR math.DS math.OA math.PR | we give a positive answer in the measurablegrouptheory context to von neumanns problem of knowing whether a nonamenable countable discrete group contains a noncyclic free subgroup we also get an embedding result of the freegroup von neumann factor into restricted wreath product factors | [['we', 'give', 'a', 'positive', 'answer', 'in', 'the', 'measurablegrouptheory', 'context', 'to', 'von', 'neumanns', 'problem', 'of', 'knowing', 'whether', 'a', 'nonamenable', 'countable', 'discrete', 'group', 'contains', 'a', 'noncyclic', 'free', 'subgroup', 'we', 'also', 'get', 'an', 'embedding', 'result', 'of', 'the', 'freegroup', 'von', 'neumann', 'factor', 'into', 'restricted', 'wreath', 'product', 'factors']] | [-0.09959038697360527, 0.1385055884370342, -0.11364366504408065, 0.05893344476464249, -0.1486727675933036, -0.17153973050326818, 0.08730496461724951, 0.3352790132907796, -0.3684066147321746, -0.1464973237099392, 0.1154935895991955, -0.276433218447935, -0.03654336126609927, 0.1714362532823413, -0.1968721034049633, -0.027724761493681443, 0.1243395972664335, 0.2079665232893257, -0.0945041770381587, -0.27683221646362827, 0.4083360226913577, -0.04338092419008414, 0.24937802852530563, 0.06694788495743913, 0.06890722685715273, 0.0313128382632775, -0.055266930566479765, 0.027920597011134737, -0.2258735378882626, 0.0354719160185639, 0.27456848314475446, 0.1705064716793242, 0.3253409604408911, -0.377661571793613, -0.15823001233816503, 0.23997226374090783, 0.11893131160953392, 0.004169985518923828, -0.05767733126967436, -0.31888187071308494, 0.027261813902961358, -0.3090683315836248, -0.07564204966738111, -0.032416014621655144, 0.0694462067137162, -0.161202999075786, -0.24872735834547452, 0.11291866365285214, 0.1681259802232186, 0.08414265287241765, -0.07764494128059596, -0.05346326176298871, 0.06925713179433453, 0.1704859826381185, -0.03529636968131031, -0.03536117522578154, 0.09885874867350572, -0.04791098883461451, -0.1483179765443007, 0.42389707054410664, -0.041983455181166175, -0.25363489479890894, 0.08665446262984049, -0.18456262933267725, -0.21545009323883624, 0.06224048705328079, 0.06506074348553306, 0.07832460899260782, -0.013872571245190642, 0.17845239995845727, -0.2081510437918561, 0.14560401331566805, 0.10056118888869173, -0.06387175706082157, 0.03826098347642636, 0.04982102023703711, 0.11780372625660329, 0.21642190439715273, 0.16250865780914733, 0.019961974450520108, -0.3373587854383957, -0.22969025204933824, -0.1455470428669027, 0.19751034708072743, -0.11621247067870129, -0.27663500726755175, 0.3707155551583994, 0.019029253472884495, 0.1062322825060359, 0.07982366933443007, 0.15569014485836738, 0.09437968045295704, 0.03451118143718867, 0.13112312934494444, 0.03481663157054711, 0.2608625592020828, -0.10840783314779401, -0.15637890506713165, 0.0015239498101263529, 0.28299245817054597] |
711.1644 | Local Conservation Laws and the Hamiltonian Formalism for the
Ablowitz-Ladik Hierarchy | We derive a systematic and recursive approach to local conservation laws and
the Hamiltonian formalism for the Ablowitz-Ladik (AL) hierarchy. Our methods
rely on a recursive approach to the AL hierarchy using Laurent polynomials and
on asymptotic expansions of the Green's function of the AL Lax operator, a
five-diagonal finite difference operator.
| nlin.SI math-ph math.MP | we derive a systematic and recursive approach to local conservation laws and the hamiltonian formalism for the ablowitzladik al hierarchy our methods rely on a recursive approach to the al hierarchy using laurent polynomials and on asymptotic expansions of the greens function of the al lax operator a fivediagonal finite difference operator | [['we', 'derive', 'a', 'systematic', 'and', 'recursive', 'approach', 'to', 'local', 'conservation', 'laws', 'and', 'the', 'hamiltonian', 'formalism', 'for', 'the', 'ablowitzladik', 'al', 'hierarchy', 'our', 'methods', 'rely', 'on', 'a', 'recursive', 'approach', 'to', 'the', 'al', 'hierarchy', 'using', 'laurent', 'polynomials', 'and', 'on', 'asymptotic', 'expansions', 'of', 'the', 'greens', 'function', 'of', 'the', 'al', 'lax', 'operator', 'a', 'fivediagonal', 'finite', 'difference', 'operator']] | [-0.10276163516279596, -0.0035986275447962377, -0.14495163787908566, 0.09424386819143994, -0.13010546640278056, -0.0674942603173594, 0.08547881079049638, 0.2687392661240525, -0.28386985905952034, -0.2843339276106025, 0.039206662421258025, -0.27513134950557006, -0.20849544340028212, 0.14483158783360311, -0.04138542903372301, 0.1260789129166649, 0.033125696766476795, -0.06374692791499771, -0.1664442967516012, -0.25186449244546777, 0.3533288221089886, 0.019360475367508255, 0.26853903422418696, 0.025186090551030178, 0.19739994968180186, 0.030172649099348255, -0.06041819364047395, -0.03918030002834992, -0.12878684207904512, 0.1148957958122572, 0.1957258870243095, 0.10700246872595297, 0.2264994103461504, -0.4054600678455944, -0.12765560823922548, 0.06486864876933396, 0.172477659404439, 0.11656177147793081, 0.009056414374544356, -0.2927009941239913, 0.02677342883991794, -0.2280427206021089, -0.1691019184385928, -0.11853699407024229, 0.031494676565321594, 0.06547082965978636, -0.3443654327151867, 0.12855548125942454, 0.11046292260289192, 0.06122325269433741, -0.028920913285289247, -0.1292136067775293, -0.023070604858311035, 0.010981168678531853, -0.08894438461328928, -0.041041339586417265, 0.028717746967091583, -0.012692799415582648, -0.11384688579262449, 0.31057175162893075, -0.04753953288533152, -0.28655361687728703, 0.13752665505028114, -0.0841220491565764, -0.16200276999734342, 0.020071430973565348, 0.1307686555933637, 0.18437100656760427, -0.16707185874334896, 0.1923551335180841, -0.08409515700231378, 0.09592044243338303, 0.0836228342511906, -0.006734305698326073, 0.09556195931509137, 0.07667312402134904, 0.06109007339602193, 0.0601879072894987, 0.052656325578797035, -0.15153477468881577, -0.31590506121014744, -0.13603136759166562, -0.19887750602972049, 0.02580511890566693, -0.12832440759974326, -0.24665657273278788, 0.4292113488683334, 0.14231475145341113, 0.15721567575327264, 0.15605850644911137, 0.24059480134970868, 0.26178962690084095, 0.056634395060917504, 0.05152303490859385, 0.13836290418671873, 0.2370543926461743, 0.12616998893925205, -0.28513901967268723, -0.019394689776863042, 0.3182104601023289] |
711.1645 | Light-Front Quantization of the Nielsen-Olesen (Bogomol'nyi) Model | In this work, I consider the light-front quantization of a class of
Nielsen-Olesen (Bogomol'nyi) models in two-space one-time dimensions in the
so-called symmetry phase using the Hamiltonian, path integral and BRST
formulations.
| hep-th | in this work i consider the lightfront quantization of a class of nielsenolesen bogomolnyi models in twospace onetime dimensions in the socalled symmetry phase using the hamiltonian path integral and brst formulations | [['in', 'this', 'work', 'i', 'consider', 'the', 'lightfront', 'quantization', 'of', 'a', 'class', 'of', 'nielsenolesen', 'bogomolnyi', 'models', 'in', 'twospace', 'onetime', 'dimensions', 'in', 'the', 'socalled', 'symmetry', 'phase', 'using', 'the', 'hamiltonian', 'path', 'integral', 'and', 'brst', 'formulations']] | [-0.17716753209242597, 0.159713915491011, -0.08838646928779781, 0.06809537041044678, -0.10115225776098669, -0.13656170909234788, -0.017038502846844494, 0.31105549015046563, -0.2193632327398518, -0.21876024412085826, 0.033582683998247376, -0.20398651345749386, -0.19020856195129454, 0.0319442410254851, -0.11279365295195021, 0.0692920332076028, 0.01774886273778975, 0.022795636497903615, -0.18288407156796893, -0.20793598524323897, 0.3760192831978202, -0.052014780580066144, 0.2590914686443284, -0.02909700085001532, 0.1290993387810886, 0.0650712506758282, 0.012859272654168308, 0.0006413408555090427, -0.1519892191136023, 0.06247559073381126, 0.23076845357502407, 0.05640474008396268, 0.16370529009145685, -0.45126791088841856, -0.24429673416307196, 0.060285724262939766, 0.1600425494252704, 0.1875339768594131, -0.01778243087755982, -0.2789233463117853, -0.01891931742284214, -0.21242097331560217, -0.18644292780663818, -0.07943943521240726, -0.023822120390832424, -0.103459385514725, -0.21453415596624836, 0.07456144333991688, 0.06675452133640647, 0.030231052543967962, -0.10251750628231093, -0.06456558388890699, -0.0038698120770277455, -0.018426647191517986, 0.05739006331350538, 0.055099592529586516, 0.03216262470596121, -0.17395466332527576, -0.20007140975212678, 0.38928682362166, -0.023267915137694217, -0.30250524677103385, 0.06590024594333954, -0.10052914568223059, -0.22893773956457153, 0.08630679922862328, 0.10776588902808726, 0.20680244712275453, -0.17919141965103336, 0.23113198784812994, -0.020531042595393956, 0.06590808714099694, 0.07882071801577695, 0.05378711123557878, 0.1528252164055175, 0.08083981479285285, 0.03662689379416406, 0.14418672739702743, -0.039924027034430765, -0.22076090131304227, -0.437209959840402, -0.2229438425401895, -0.19604275876190513, 0.07222884046495892, -0.08167732259926197, -0.1527449394343421, 0.40907650924054906, 0.153151880716905, 0.11727667653758544, 0.07726457747048698, 0.2573654846055433, 0.16486633362364955, 0.08601732860552147, 0.0641726657631807, 0.2063741364981979, 0.14364623901201412, 0.13874355351435952, -0.274648927297676, -0.14532828103983775, 0.27635755398659967] |
711.1646 | Nonlocal Nondegenerate Optical Parametric Amplifier Based on Genuine
Multipartite Entanglement | We propose a new scheme for realizing nonlocal nondegenerate optical
parametric amplifier by means of genuine four-mode entanglement. The
nondegenerate optical parametric amplifier is regarded as a unitary
transformation from two input fields to two outputs. Two inputs and two outputs
are located at the remote stations respectively. Employing off-line four-mode
entanglement, homodyne detection, classical communication and local
displacement, the nonlocal nondegenerate optical parametric amplifier can be
achieved. This scheme can be implemented with a setup that is experimentally
accessible at present.
| quant-ph | we propose a new scheme for realizing nonlocal nondegenerate optical parametric amplifier by means of genuine fourmode entanglement the nondegenerate optical parametric amplifier is regarded as a unitary transformation from two input fields to two outputs two inputs and two outputs are located at the remote stations respectively employing offline fourmode entanglement homodyne detection classical communication and local displacement the nonlocal nondegenerate optical parametric amplifier can be achieved this scheme can be implemented with a setup that is experimentally accessible at present | [['we', 'propose', 'a', 'new', 'scheme', 'for', 'realizing', 'nonlocal', 'nondegenerate', 'optical', 'parametric', 'amplifier', 'by', 'means', 'of', 'genuine', 'fourmode', 'entanglement', 'the', 'nondegenerate', 'optical', 'parametric', 'amplifier', 'is', 'regarded', 'as', 'a', 'unitary', 'transformation', 'from', 'two', 'input', 'fields', 'to', 'two', 'outputs', 'two', 'inputs', 'and', 'two', 'outputs', 'are', 'located', 'at', 'the', 'remote', 'stations', 'respectively', 'employing', 'offline', 'fourmode', 'entanglement', 'homodyne', 'detection', 'classical', 'communication', 'and', 'local', 'displacement', 'the', 'nonlocal', 'nondegenerate', 'optical', 'parametric', 'amplifier', 'can', 'be', 'achieved', 'this', 'scheme', 'can', 'be', 'implemented', 'with', 'a', 'setup', 'that', 'is', 'experimentally', 'accessible', 'at', 'present']] | [-0.17998899680614847, 0.1508132591786817, -0.07335836391487136, 0.00029097164259860064, -0.023568870249863077, -0.31264177835319285, 0.04423738606330916, 0.4544776834365798, -0.27279582904174743, -0.22203188842423716, 0.06551593223092624, -0.22184108642906677, -0.13477560296291258, 0.25554334420551794, -0.03686172960939386, 0.11121821760131818, 0.04829539738030445, -0.01321457723927934, -0.03998457693683676, -0.20291250917447232, 0.2858655027329649, -0.02095199386566514, 0.3175066419953066, -0.06261246453788949, 0.18218421315910613, -0.0032014616640148367, 0.026872299241027, -0.04609883903730207, -0.02911388624657198, 0.0864973231502695, 0.3060903722795135, 0.09883012795798117, 0.26199471627975385, -0.3906561136756819, -0.2201809042882992, 0.14193649082331034, 0.09693737480812138, 0.17182975089768085, -0.022443837988780947, -0.3265814378448739, -0.000254041146168985, -0.20312736818862215, -0.09813947954623983, -0.11594099499762239, -0.10513532138429582, -0.010190983018951445, -0.3445070226245174, 0.06637897868029363, 0.013970517492342013, 0.06137177153922072, 0.06942646384307342, -0.009516804569923296, -0.0176878091879189, 0.09368464253592963, -0.1852730255767067, -0.018635685390951794, 0.13902608453432416, -0.08932798279437987, -0.1656779112555541, 0.3042015026574784, -0.1131190871479126, -0.1808039497657929, 0.15859505674438323, -0.07006232485334139, -0.03676719986265752, 0.10234075478596114, 0.14130906898119464, 0.05834017285123104, -0.19898056531915578, -0.002988675604971898, -0.02133581828235126, 0.1733942433010514, 0.12305436250980853, 0.1434763315823724, 0.2178176093829523, 0.1371015034297981, 0.060691461307791676, 0.22381417767042522, -0.10528038060519754, -0.07128123422834749, -0.3536224418345316, -0.08354840229731053, -0.2371339130601505, 0.06363044521862232, -0.04578337388321837, -0.07108001640384518, 0.38358308286035203, 0.09901627658784003, 0.12898380925208786, -0.003253442473800444, 0.3915334409329949, 0.16985737371525342, 0.0441994548877474, 0.054630369379571296, 0.3235309850609089, 0.13360682318821868, 0.02983510079680056, -0.21881686617540785, -0.021043986840196316, 0.06521381954264986] |
711.1647 | Controllable density of states in molecular devices: the magnetic effect
on cyclic molecules | Through the analysis of density of states (DOS), we study two different kinds
of cyclic molecules, a sodium atomic circle and a Polycyclic Aromatic
Hydrocarbons (PAH) molecule respectively under an external magnetic field. The
results of calculation show that original DOS peaks split into two and the
positions of peaks can be modulated periodically by controlling the magnetic
field. We attribute this phenomenon to the interaction between the molecular
orbital magnetic momentum and the magnetic field. Generally, this effect is
obscure for a usual structure but obvious for the cyclic molecules.
| physics.comp-ph physics.chem-ph | through the analysis of density of states dos we study two different kinds of cyclic molecules a sodium atomic circle and a polycyclic aromatic hydrocarbons pah molecule respectively under an external magnetic field the results of calculation show that original dos peaks split into two and the positions of peaks can be modulated periodically by controlling the magnetic field we attribute this phenomenon to the interaction between the molecular orbital magnetic momentum and the magnetic field generally this effect is obscure for a usual structure but obvious for the cyclic molecules | [['through', 'the', 'analysis', 'of', 'density', 'of', 'states', 'dos', 'we', 'study', 'two', 'different', 'kinds', 'of', 'cyclic', 'molecules', 'a', 'sodium', 'atomic', 'circle', 'and', 'a', 'polycyclic', 'aromatic', 'hydrocarbons', 'pah', 'molecule', 'respectively', 'under', 'an', 'external', 'magnetic', 'field', 'the', 'results', 'of', 'calculation', 'show', 'that', 'original', 'dos', 'peaks', 'split', 'into', 'two', 'and', 'the', 'positions', 'of', 'peaks', 'can', 'be', 'modulated', 'periodically', 'by', 'controlling', 'the', 'magnetic', 'field', 'we', 'attribute', 'this', 'phenomenon', 'to', 'the', 'interaction', 'between', 'the', 'molecular', 'orbital', 'magnetic', 'momentum', 'and', 'the', 'magnetic', 'field', 'generally', 'this', 'effect', 'is', 'obscure', 'for', 'a', 'usual', 'structure', 'but', 'obvious', 'for', 'the', 'cyclic', 'molecules']] | [-0.2101895336322691, 0.1671851528311151, -0.05820856667072563, 0.054732149762388035, 0.004778582357115798, -0.08967270852056342, 0.04295791609847283, 0.42495219237529314, -0.2858114398831686, -0.29693997632916813, -0.010803993699232956, -0.2278624708958707, -0.1259641735558654, 0.13049064951201717, 0.03304247862076039, -0.07560715377126094, -0.012488137456015326, -0.010304606043743891, -0.022080420493404126, -0.18714261148892508, 0.32634368117202767, 0.033354996134601224, 0.26369985405887875, 0.10654266596871562, 0.023632809130863828, -0.012287623627663969, 0.043071885130132784, 0.02440343248647648, -0.09954138981617519, 0.11403324156884452, 0.20404764212179252, -0.025653064302117615, 0.20952125870530586, -0.460581786448269, -0.19442261727833812, 0.07594754387225423, 0.12768192100082779, 0.1697908229895632, -0.0507193324563879, -0.28093756397592495, 0.035544247120864444, -0.11471345907737307, -0.1371922331125281, -0.056708732197716175, 0.03566507119966855, 0.0577790465405477, -0.2231811492039904, 0.08774078682392508, 0.07292848556548111, 0.1279841650400188, -0.14132657556815054, -0.12712221978498356, -0.062190310118699466, 0.07875596607042538, 0.07264008197759451, 0.020713888231542084, 0.23157809283277328, -0.09893402594888767, -0.08496133976738778, 0.38794110066533743, -0.11765475933194407, -0.10614291412783351, 0.18605905464226072, -0.14750553364097907, -0.14413921261758922, 0.20473367663530204, 0.09348503816719321, 0.10623926739975974, -0.13111587657892546, 0.027699044289625156, -0.05710843799681822, 0.20665705180087302, 0.10246676778686899, 0.09025669331754466, 0.2668490777467633, 0.06591471633809916, 0.02099025698767586, 0.1719610600100298, -0.16127902767518637, -0.07434125804946154, -0.21299049000327402, -0.17411791407861388, -0.16245916744714584, 0.04660978021770511, -0.0590706679781011, -0.18557798819473156, 0.4198912037587674, 0.10046919817002592, 0.1974993379540987, -0.0642093879958758, 0.30632935290398833, 0.10027203907432793, 0.08666151817465856, 0.026481612480583262, 0.20407924720516, 0.17186374962585724, 0.03491554049529381, -0.30308465699020487, 0.04288560851569195, 0.003711335087235976] |
711.1648 | The Parisi formula completed | The Parisi formula for the free energy of the Sherrington-Kirkpatrick model
is completed to a closed-form generating functional. We first find an integral
representation for a solution of the Parisi differential equation and represent
the free energy as a functional of order parameters. Then we set stationarity
equations for local maxima of the free energy determining the order-parameter
function on interval $[0,1]$. Finally we show without resorting to the replica
trick that the solution of the stationarity equations leads to a marginally
stable thermodynamic state.
| cond-mat.dis-nn cond-mat.stat-mech | the parisi formula for the free energy of the sherringtonkirkpatrick model is completed to a closedform generating functional we first find an integral representation for a solution of the parisi differential equation and represent the free energy as a functional of order parameters then we set stationarity equations for local maxima of the free energy determining the orderparameter function on interval 01 finally we show without resorting to the replica trick that the solution of the stationarity equations leads to a marginally stable thermodynamic state | [['the', 'parisi', 'formula', 'for', 'the', 'free', 'energy', 'of', 'the', 'sherringtonkirkpatrick', 'model', 'is', 'completed', 'to', 'a', 'closedform', 'generating', 'functional', 'we', 'first', 'find', 'an', 'integral', 'representation', 'for', 'a', 'solution', 'of', 'the', 'parisi', 'differential', 'equation', 'and', 'represent', 'the', 'free', 'energy', 'as', 'a', 'functional', 'of', 'order', 'parameters', 'then', 'we', 'set', 'stationarity', 'equations', 'for', 'local', 'maxima', 'of', 'the', 'free', 'energy', 'determining', 'the', 'orderparameter', 'function', 'on', 'interval', '01', 'finally', 'we', 'show', 'without', 'resorting', 'to', 'the', 'replica', 'trick', 'that', 'the', 'solution', 'of', 'the', 'stationarity', 'equations', 'leads', 'to', 'a', 'marginally', 'stable', 'thermodynamic', 'state']] | [-0.12727700895903743, 0.06754301239287837, -0.14357799333246316, 0.12009532431496636, -0.0797804344445467, -0.05333445940495414, 0.07747543657554642, 0.2946279585142346, -0.2717599227969699, -0.2971142354804803, 0.08201252014431007, -0.260329769759932, -0.09875464421861312, 0.13814226975938415, 0.015924350279109444, 0.09888760624453426, 0.010145480773601723, 0.10501093043781379, -0.1316720337853493, -0.18625043170690975, 0.3043098878224983, 0.025596309957258843, 0.26835160481140896, 0.04325881303452393, 0.17747735880753573, 0.042922826207188125, 0.050733958776382836, -0.012534152135691222, -0.2183026803908219, 0.10140506013789598, 0.20729560803841143, 0.0757662769735736, 0.27430164345047053, -0.4289520276600824, -0.22267957962090698, 0.13734032166026094, 0.0816526198759675, 0.11925677915706354, -0.020701092403546412, -0.24418233262703698, 0.0784772566629245, -0.18395774903851014, -0.19443424548405935, -0.11315353896249743, -0.014584248195237973, 0.030544703475692693, -0.3179852475905243, 0.12855905036935034, 0.035819791462820244, 0.018333952791769716, -0.16758616425316122, -0.07205998397925321, -0.056617268446065926, 0.06766828653019141, 0.05384395964142373, 0.005316485815188464, 0.06508242443532627, -0.12159164902918479, -0.05797402867225601, 0.33045527231605615, -0.08439578880651799, -0.23997950310928418, 0.10852623815264772, -0.09878561389358605, -0.12689226293826805, 0.14411276397021378, 0.07554065605509094, 0.13892733835998702, -0.20307742047178395, 0.15213424409945112, -0.025196235210579985, 0.1592214992379441, 0.059147395927678134, -0.040405713249107494, 0.13036273322342073, 0.12132699811721549, 0.12125601268866483, 0.16127017287208753, -0.07349217101924724, -0.1659597413504825, -0.3733191257013994, -0.20349773291279288, -0.224716237625655, 0.061827742675428884, -0.12747069089930257, -0.20175335718428386, 0.4194674829240231, 0.1350536504883648, 0.13549944256596705, 0.12191563955891659, 0.21515000326668515, 0.23704647821500924, 0.00392436147941386, 0.07565458737423315, 0.15556771635790081, 0.1340616368880386, 0.08163888969951692, -0.23486540241386084, 0.03305915415780071, 0.149028117165846] |
711.1649 | Systematic study of multi-quark states I. qq-qq-\bar{q} configuration | Group theoretic method for the systematic study of multi-quark states is
developed. The calculation of matrix elements of many body Hamiltonian is
simplified by transforming the physical bases (quark cluster bases) to symmetry
bases (group chain classified bases), where the fractional parentage expansion
method can be used. Five quark system is taken as example in this study. The
Jaffe-Wilczek $qq-qq-\bar{q}$ configuration is chosen as one of examples to
construct the physical bases and the transformation coefficients between
physical bases and symmetry ones are shown to be related to the
${SU}_{mn}\supset{SU}_m\times{SU}_n$ isoscalar factors and a complete
transformation coefficients table is given. The needed isoscalar factors and
fractional parentage coefficients had been calculated with our new group
representation theory and published before. Three quark models, the naive
Glashow-Isgur, Salamanca and quark delocalization color screening, are used to
show the general applicability of the new multi-quark calculation method and
general results of constituent quark models for five-quark states are given.
| hep-ph | group theoretic method for the systematic study of multiquark states is developed the calculation of matrix elements of many body hamiltonian is simplified by transforming the physical bases quark cluster bases to symmetry bases group chain classified bases where the fractional parentage expansion method can be used five quark system is taken as example in this study the jaffewilczek qqqqbarq configuration is chosen as one of examples to construct the physical bases and the transformation coefficients between physical bases and symmetry ones are shown to be related to the su_mnsupsetsu_mtimessu_n isoscalar factors and a complete transformation coefficients table is given the needed isoscalar factors and fractional parentage coefficients had been calculated with our new group representation theory and published before three quark models the naive glashowisgur salamanca and quark delocalization color screening are used to show the general applicability of the new multiquark calculation method and general results of constituent quark models for fivequark states are given | [['group', 'theoretic', 'method', 'for', 'the', 'systematic', 'study', 'of', 'multiquark', 'states', 'is', 'developed', 'the', 'calculation', 'of', 'matrix', 'elements', 'of', 'many', 'body', 'hamiltonian', 'is', 'simplified', 'by', 'transforming', 'the', 'physical', 'bases', 'quark', 'cluster', 'bases', 'to', 'symmetry', 'bases', 'group', 'chain', 'classified', 'bases', 'where', 'the', 'fractional', 'parentage', 'expansion', 'method', 'can', 'be', 'used', 'five', 'quark', 'system', 'is', 'taken', 'as', 'example', 'in', 'this', 'study', 'the', 'jaffewilczek', 'qqqqbarq', 'configuration', 'is', 'chosen', 'as', 'one', 'of', 'examples', 'to', 'construct', 'the', 'physical', 'bases', 'and', 'the', 'transformation', 'coefficients', 'between', 'physical', 'bases', 'and', 'symmetry', 'ones', 'are', 'shown', 'to', 'be', 'related', 'to', 'the', 'su_mnsupsetsu_mtimessu_n', 'isoscalar', 'factors', 'and', 'a', 'complete', 'transformation', 'coefficients', 'table', 'is', 'given', 'the', 'needed', 'isoscalar', 'factors', 'and', 'fractional', 'parentage', 'coefficients', 'had', 'been', 'calculated', 'with', 'our', 'new', 'group', 'representation', 'theory', 'and', 'published', 'before', 'three', 'quark', 'models', 'the', 'naive', 'glashowisgur', 'salamanca', 'and', 'quark', 'delocalization', 'color', 'screening', 'are', 'used', 'to', 'show', 'the', 'general', 'applicability', 'of', 'the', 'new', 'multiquark', 'calculation', 'method', 'and', 'general', 'results', 'of', 'constituent', 'quark', 'models', 'for', 'fivequark', 'states', 'are', 'given']] | [-0.06634006147838331, 0.15694396741016975, -0.1002004827650917, 0.07661400530668726, -0.08335761178901734, -0.10177150114391048, 0.034726993112020536, 0.3571680185880947, -0.2184427910720228, -0.2591531862649922, 0.04989499811539668, -0.26066108509994945, -0.11063846934877046, 0.12617514544928615, 0.008763792767346679, 0.07684652886184101, 0.0456002812844689, 0.05000977417871404, -0.09755088887237884, -0.25535167726255686, 0.3294290263162678, -0.027023078256903532, 0.24653490454520932, 0.041269392419195215, 0.06110285741334491, -0.010293833247700392, -0.06707380387883682, -0.04263155731408821, -0.08143275355097729, 0.13212417505527302, 0.24363257140156475, 0.08812017208600248, 0.1666801797903397, -0.3885068877467087, -0.17880508837943243, 0.08426526410190703, 0.1316699182914038, 0.14776884944649873, -0.008062335299690823, -0.2877419179656192, 0.08350112330011249, -0.2356797383082184, -0.17319881445849195, -0.17648632049578689, 0.03098678992238718, -0.02236427666994368, -0.31176003216850484, 0.05609414753723888, 0.0044696561057822074, 0.055960833259809814, -0.05355008221049974, -0.2398209026357002, -0.026723619409861017, 0.13191328621348486, 0.039762133168504125, 0.03925104355046453, 0.12582703292303318, -0.1007651373904271, -0.1460457792303029, 0.4293653771474764, -0.009122775305159293, -0.2468942848787123, 0.15175774820789986, -0.12100287519286496, -0.1344689854281628, 0.06883583833499775, 0.1405742221826373, 0.1005659830293848, -0.18765054567635372, 0.07848001206210549, -0.055214515578775825, 0.15018875525459985, 0.06769230315014237, 0.046181679271651406, 0.15424207970046427, 0.11860835685261659, -0.029355196935780856, 0.10374929819425399, 0.0020836641461673107, -0.11942038997741682, -0.3341135571335817, -0.13007242629280338, -0.16972023964399932, 0.011158148747530173, -0.09754337133416777, -0.1401998979739116, 0.42025140292909263, 0.08328581942217984, 0.1605658977921423, -0.024849674331822565, 0.23764135925834032, 0.12766343034280755, 0.10545611786111803, 0.042425604385940674, 0.20032338025471705, 0.2284513532392705, 0.02941194349633796, -0.21120554026724261, 0.022333459990619163, 0.15959931991453125] |
711.165 | On the possible induced charge on a graphitic nanocone at finite
temperature | Electronic excitations in a graphitic monolayer (graphene) in the
long-wavelength approximation are characterized by the linear dispersion law,
representing a unique example of the really two-dimensional "ultrarelativistic"
fermionic system which in the presence of topological defects possesses rather
unusual properties. A disclination that rolls up a graphitic sheet into a
nanocone is described by a pointlike pseudomagnetic vortex at the apex of the
cone, and the flux of the vortex is related to the deficit angle of the conical
surface. A general theory of planar relativistic fermionic systems in the
singular vortex background is employed, and we derive the analytical expression
for the charge which is induced at finite temperature on some graphitic
nanocones.
| cond-mat.str-el cond-mat.mtrl-sci hep-th | electronic excitations in a graphitic monolayer graphene in the longwavelength approximation are characterized by the linear dispersion law representing a unique example of the really twodimensional ultrarelativistic fermionic system which in the presence of topological defects possesses rather unusual properties a disclination that rolls up a graphitic sheet into a nanocone is described by a pointlike pseudomagnetic vortex at the apex of the cone and the flux of the vortex is related to the deficit angle of the conical surface a general theory of planar relativistic fermionic systems in the singular vortex background is employed and we derive the analytical expression for the charge which is induced at finite temperature on some graphitic nanocones | [['electronic', 'excitations', 'in', 'a', 'graphitic', 'monolayer', 'graphene', 'in', 'the', 'longwavelength', 'approximation', 'are', 'characterized', 'by', 'the', 'linear', 'dispersion', 'law', 'representing', 'a', 'unique', 'example', 'of', 'the', 'really', 'twodimensional', 'ultrarelativistic', 'fermionic', 'system', 'which', 'in', 'the', 'presence', 'of', 'topological', 'defects', 'possesses', 'rather', 'unusual', 'properties', 'a', 'disclination', 'that', 'rolls', 'up', 'a', 'graphitic', 'sheet', 'into', 'a', 'nanocone', 'is', 'described', 'by', 'a', 'pointlike', 'pseudomagnetic', 'vortex', 'at', 'the', 'apex', 'of', 'the', 'cone', 'and', 'the', 'flux', 'of', 'the', 'vortex', 'is', 'related', 'to', 'the', 'deficit', 'angle', 'of', 'the', 'conical', 'surface', 'a', 'general', 'theory', 'of', 'planar', 'relativistic', 'fermionic', 'systems', 'in', 'the', 'singular', 'vortex', 'background', 'is', 'employed', 'and', 'we', 'derive', 'the', 'analytical', 'expression', 'for', 'the', 'charge', 'which', 'is', 'induced', 'at', 'finite', 'temperature', 'on', 'some', 'graphitic', 'nanocones']] | [-0.19284961788032792, 0.17514679845618575, -0.0810193590117259, 0.03257420566341464, -0.015759108128565315, -0.12441098169227571, 0.02120374700385391, 0.34910206913359854, -0.23334089404159927, -0.23219538301948392, 0.02431971306060931, -0.2975881158194521, -0.1523691499442385, 0.1469111492228158, 0.01820411269242565, 0.021566888971025485, -0.03692483391792497, 0.00015208856692831767, -0.07632824159104769, -0.15678916791486636, 0.3174560815381834, 0.035380115462957246, 0.298414299673025, 0.09387877048401717, 0.07882275602273774, -0.029479893024504315, 0.06737924990930448, 0.09020510419647683, -0.13794974451140438, 0.09378597009600255, 0.19498409023365462, -0.09727029848369982, 0.16814356896487115, -0.4664870916228545, -0.2002250207261297, -0.00345753676364231, 0.13390705389330132, 0.15683990188163557, -0.05892050078673811, -0.28051496015273425, 0.05497261537815926, -0.10270700758433361, -0.23089412467456177, -0.03376796185406611, 0.011158909387232964, 0.00728617023202803, -0.19742292366725833, 0.08716376609446709, 0.07622688338405599, 0.0501156885323948, -0.07966076772100407, -0.057369934280582686, -0.12307246940275818, 0.028950862994973073, 0.02220625840454248, 0.028847426968512304, 0.18614409597623244, -0.1762336131528412, -0.06917563968403428, 0.42277531761455495, -0.0657751750376631, -0.1808401582631887, 0.12493012455014284, -0.17207353390148727, -0.05610486818273274, 0.22110109133727587, 0.12508679858026944, 0.11213387171218321, -0.13225171604732933, 0.10244285108491201, -0.07732842707794094, 0.10634282825253251, 0.12488749673541047, 0.057617539628265886, 0.3340024694784038, 0.17618308865808344, 0.057301688804536274, 0.17490735037146105, -0.12832590348797998, -0.07283055412239935, -0.30539862071409035, -0.16861498665080912, -0.21176522903209716, 0.1025216281168947, -0.0866456843650667, -0.2606313546890752, 0.41844212964867455, 0.052921993461878675, 0.14801494013482352, -0.042892328957749304, 0.2536687009616575, 0.1309399815733757, 0.06705811504977183, 0.04947821865789592, 0.25213331896571745, 0.17528549680617034, 0.08335902606823335, -0.26714027696697595, -0.0024102200884698775, 0.08104974666218225] |
711.1651 | Deterministic generation of polarization-entangled photon pairs in a
cavity-QED system | We propose a cavity-QED scheme that can deterministically generate
Einstein-Podosky-Rosen polarization-entangled photon pairs. A four-level tripod
atom successively couples to two high-Q optical cavities possessing
polarization degeneracy, assisted by a classical $\pi$-polarized pump field.
The stimulated Raman adiabatic passage process in the atom-cavity system is
used to produce the polarization-entangled photon pairs. The proposal is
particularly robust against atomic spontaneous decay, which should have
potential applications in quantum information processing.
| quant-ph | we propose a cavityqed scheme that can deterministically generate einsteinpodoskyrosen polarizationentangled photon pairs a fourlevel tripod atom successively couples to two highq optical cavities possessing polarization degeneracy assisted by a classical pipolarized pump field the stimulated raman adiabatic passage process in the atomcavity system is used to produce the polarizationentangled photon pairs the proposal is particularly robust against atomic spontaneous decay which should have potential applications in quantum information processing | [['we', 'propose', 'a', 'cavityqed', 'scheme', 'that', 'can', 'deterministically', 'generate', 'einsteinpodoskyrosen', 'polarizationentangled', 'photon', 'pairs', 'a', 'fourlevel', 'tripod', 'atom', 'successively', 'couples', 'to', 'two', 'highq', 'optical', 'cavities', 'possessing', 'polarization', 'degeneracy', 'assisted', 'by', 'a', 'classical', 'pipolarized', 'pump', 'field', 'the', 'stimulated', 'raman', 'adiabatic', 'passage', 'process', 'in', 'the', 'atomcavity', 'system', 'is', 'used', 'to', 'produce', 'the', 'polarizationentangled', 'photon', 'pairs', 'the', 'proposal', 'is', 'particularly', 'robust', 'against', 'atomic', 'spontaneous', 'decay', 'which', 'should', 'have', 'potential', 'applications', 'in', 'quantum', 'information', 'processing']] | [-0.15409208375258723, 0.27447323434972676, -0.07105017896147742, 0.005948753286102674, -0.008274590293708108, -0.2867373457731868, 0.046903271305685244, 0.4913277731857438, -0.2662153815769631, -0.2424152209760918, -0.06053165005405258, -0.2735988276173779, -0.05004211048177187, 0.25662735752437427, 0.003810758958908095, 0.1037895913856725, 0.05961911302005899, -0.047425894920403756, 0.08675020307882865, -0.17027263867034428, 0.26686779186939413, 0.02686225167185446, 0.382911891878947, -0.029082252677746008, 0.1334777139397203, 0.014319080859422684, 0.0844637264052163, -0.14181392809943014, -0.026865222674066477, 0.11378736418428952, 0.2413781525540179, 0.0519364741647724, 0.2766497849986173, -0.4306293659560058, -0.20098572586109673, 0.1206970086078281, 0.16979328869585542, 0.2655553462100479, -0.11495674473058054, -0.3453092680623134, -0.05174448693414097, -0.16389689956913175, -0.07807003498158377, -0.10727031709815281, -0.04675893824837724, -0.018598270583121728, -0.32789665380614286, -0.00479382443903149, 0.01590052072930595, -0.015248923069810953, 0.053065876915133085, 0.11398408655245937, -0.01020950474438892, -0.01274611184751426, -0.12561475917523174, 0.023526743218046275, 0.2551031593989203, -0.08512471351634199, -0.22133391148046308, 0.37547574937681033, -0.124601391731235, -0.1183304720679703, 0.14386897963350234, -0.09215697712278452, -0.04354346928227207, 0.16411178379549066, 0.12743422096811127, 0.09965724468339181, -0.12163215900595853, 0.017221305708306423, 0.014433563545184292, 0.23156572304720033, 0.152352641026179, 0.19471272648703578, 0.24213002442611734, 0.10442456855452147, 0.012085134976718953, 0.23258522528804082, -0.14279349129377067, -0.1130506593356098, -0.25385911176925985, -0.14212382002058777, -0.22561881460411393, 0.1103193494659997, -0.02709707682547362, -0.07801419361561969, 0.38528350022455055, 0.12925654043278156, 0.10937257341203699, -0.11578957455576924, 0.36432529011390347, 0.18047451009245022, 0.05810292070542557, -0.023750433131404545, 0.3152042300966771, 0.1661821866468729, 0.06593707851741624, -0.2964863744294406, -0.03817258202943249, 0.0055123274956924324] |
711.1652 | Cooperation enhanced by the difference between interaction and learning
neighborhoods for evolutionary spatial prisoner's dilemma games | We study an evolutionary prisoner's dilemma game with two layered graphs,
where the lower layer is the physical infrastructure on which the interactions
are taking place and the upper layer represents the connections for the
strategy adoption (learning) mechanism. This system is investigated by means of
Monte Carlo simulations and an extended pair-approximation method. We consider
the average density of cooperators in the stationary state for a fixed
interaction graph, while varying the number of edges in the learning graph.
According to the Monte Carlo simulations, the cooperation is modified
substantially in a way resembling a coherence-resonance-like behavior when the
number of learning edges is increased. This behavior is reproduced by the
analytical results.
| physics.soc-ph | we study an evolutionary prisoners dilemma game with two layered graphs where the lower layer is the physical infrastructure on which the interactions are taking place and the upper layer represents the connections for the strategy adoption learning mechanism this system is investigated by means of monte carlo simulations and an extended pairapproximation method we consider the average density of cooperators in the stationary state for a fixed interaction graph while varying the number of edges in the learning graph according to the monte carlo simulations the cooperation is modified substantially in a way resembling a coherenceresonancelike behavior when the number of learning edges is increased this behavior is reproduced by the analytical results | [['we', 'study', 'an', 'evolutionary', 'prisoners', 'dilemma', 'game', 'with', 'two', 'layered', 'graphs', 'where', 'the', 'lower', 'layer', 'is', 'the', 'physical', 'infrastructure', 'on', 'which', 'the', 'interactions', 'are', 'taking', 'place', 'and', 'the', 'upper', 'layer', 'represents', 'the', 'connections', 'for', 'the', 'strategy', 'adoption', 'learning', 'mechanism', 'this', 'system', 'is', 'investigated', 'by', 'means', 'of', 'monte', 'carlo', 'simulations', 'and', 'an', 'extended', 'pairapproximation', 'method', 'we', 'consider', 'the', 'average', 'density', 'of', 'cooperators', 'in', 'the', 'stationary', 'state', 'for', 'a', 'fixed', 'interaction', 'graph', 'while', 'varying', 'the', 'number', 'of', 'edges', 'in', 'the', 'learning', 'graph', 'according', 'to', 'the', 'monte', 'carlo', 'simulations', 'the', 'cooperation', 'is', 'modified', 'substantially', 'in', 'a', 'way', 'resembling', 'a', 'coherenceresonancelike', 'behavior', 'when', 'the', 'number', 'of', 'learning', 'edges', 'is', 'increased', 'this', 'behavior', 'is', 'reproduced', 'by', 'the', 'analytical', 'results']] | [-0.1444583973485206, 0.11292968202300939, -0.10064133669433094, 0.0689233817083893, -0.03588732758710012, -0.12360909012912781, 0.08575834020296424, 0.3919348327970478, -0.26001289008861095, -0.34164033218624845, 0.06580747881249022, -0.28801696949053257, -0.16713766686090853, 0.1016829085857731, -0.019477055028938088, -0.000841857931387108, 0.08130716560490892, 0.013864727070621025, 0.003277356600372401, -0.2349222879655931, 0.3209126681765228, 0.08785155952899856, 0.2759413482143288, 0.010212539674534433, 0.06954773278923425, 0.027342327324409797, 0.015127556115199309, 0.04333265413126065, -0.15696090451581815, 0.07657952666018916, 0.22700769326956613, 0.09290358783940958, 0.3310272213467191, -0.44594865218134583, -0.2294796668940875, 0.09717543896666803, 0.1701760144813596, 0.11243242729327485, -0.052611207874879176, -0.27943746071407755, 0.06412784561753866, -0.1962097871067843, -0.09070123954154798, -0.008309594512117647, -0.02893373432396128, 0.01878816442537344, -0.295116060421662, -0.013494644874492577, 0.02028255231587826, 0.05686082103082589, -0.025128042016310238, -0.11289033243758193, -0.027274400601575596, 0.12963081110166838, 0.011603284659136119, 0.011918143894671735, 0.11964211286564844, -0.1810143454705027, -0.14034076173072763, 0.3388881321947, -0.038757021069131065, -0.18156791630044447, 0.1658467249903597, -0.08835287800932352, -0.10978744537116283, 0.12466024495743677, 0.15162730259013124, 0.12891595710513998, -0.14339261166444894, 0.07028204938953132, -0.05768697322820173, 0.13985064203760264, -0.01481119504989644, -0.03131476697816917, 0.14887654126119032, 0.2561943627609583, 0.0765574486963286, 0.15281089140819304, -0.06111918019122584, -0.20686338859634984, -0.21969208177343935, -0.1369927802351839, -0.21508097858786318, 0.0109781654164261, -0.15960805254356844, -0.1410234027822395, 0.37825801224340644, 0.1658075884132918, 0.17597600793367071, 0.0867606106644859, 0.28872549929037955, 0.12616907488101417, 0.03981397004254096, 0.09455258723562665, 0.2130680195703913, 0.11329442593145424, 0.0779125969280052, -0.23713699357781923, 0.14420303682986219, 0.07041609423457587] |
711.1653 | Effects of inhomogeneous influence of individuals on an order-disorder
transition in opinion dynamics | We study the effects of inhomogeneous influence of individuals on collective
phenomena. We focus analytically on a typical model of the majority rule,
applied to the completely connected agents. Two types of individuals $A$ and
$B$ with different influence activity are introduced. The individuals $A$ and
$B$ are distributed randomly with concentrations $\nu$ and $1-\nu$ at the
beginning and fixed further on. Our main result is that the location of the
order-disorder transition is affected due to the introduction of the
inhomogeneous influence. This result highlights the importance of inhomogeneous
influence between different types of individuals during the process of opinion
updating.
| physics.soc-ph | we study the effects of inhomogeneous influence of individuals on collective phenomena we focus analytically on a typical model of the majority rule applied to the completely connected agents two types of individuals a and b with different influence activity are introduced the individuals a and b are distributed randomly with concentrations nu and 1nu at the beginning and fixed further on our main result is that the location of the orderdisorder transition is affected due to the introduction of the inhomogeneous influence this result highlights the importance of inhomogeneous influence between different types of individuals during the process of opinion updating | [['we', 'study', 'the', 'effects', 'of', 'inhomogeneous', 'influence', 'of', 'individuals', 'on', 'collective', 'phenomena', 'we', 'focus', 'analytically', 'on', 'a', 'typical', 'model', 'of', 'the', 'majority', 'rule', 'applied', 'to', 'the', 'completely', 'connected', 'agents', 'two', 'types', 'of', 'individuals', 'a', 'and', 'b', 'with', 'different', 'influence', 'activity', 'are', 'introduced', 'the', 'individuals', 'a', 'and', 'b', 'are', 'distributed', 'randomly', 'with', 'concentrations', 'nu', 'and', '1nu', 'at', 'the', 'beginning', 'and', 'fixed', 'further', 'on', 'our', 'main', 'result', 'is', 'that', 'the', 'location', 'of', 'the', 'orderdisorder', 'transition', 'is', 'affected', 'due', 'to', 'the', 'introduction', 'of', 'the', 'inhomogeneous', 'influence', 'this', 'result', 'highlights', 'the', 'importance', 'of', 'inhomogeneous', 'influence', 'between', 'different', 'types', 'of', 'individuals', 'during', 'the', 'process', 'of', 'opinion', 'updating']] | [-0.12387845309122521, 0.1800228800880266, -0.052573217394049555, 0.028449798723676055, -0.04035143727007523, -0.11387968633561303, 0.1250979321775958, 0.37289187934834, -0.24494410832138622, -0.28274293291364233, 0.059122696149108166, -0.27705396938607935, -0.17546099727498551, 0.10543798847242679, -0.016663732011711188, -0.041796068464606706, 0.024824086485394074, 0.0472646690300191, 0.017938607538977237, -0.2840387175069647, 0.3773417693263778, 0.0344682180907066, 0.3046901180025409, 0.04308750837420424, 0.07027221815295372, 0.03015592051030812, -0.07865949760204838, 0.04516949537484085, -0.13181902903998693, 0.08609611752863024, 0.21246720120018603, 0.07281763231217422, 0.3196090232014802, -0.4142042986646879, -0.18411402358655252, 0.11754124533321124, 0.10423783066353816, 0.1085685081871263, -4.322377522019487e-05, -0.3143078492698716, 0.07582491360988249, -0.1476264394929304, -0.1170912638429881, 0.026732410523383057, 0.042730703821529034, 0.10053812789584637, -0.26177453946815255, 0.0994368578015151, 0.08310528863312713, 0.08822052407662805, -0.08331451170042604, -0.11087451297241975, -0.013095397002282827, 0.1956481713272047, 0.09067587619492591, -0.0239107615894218, 0.18231200232334874, -0.12085343349277608, -0.08361290663699894, 0.36406088341369897, -0.018906892450782014, -0.1737057275741416, 0.23222404199780203, -0.13117114499247834, -0.1237518342517718, 0.0929126958271452, 0.21500445454947503, 0.1076444110230488, -0.12158113828969791, 0.02077201067917414, -0.002355632043498404, 0.11971427700208391, 0.023504392079570714, -0.00862999060921663, 0.2030180203180541, 0.1740691803964129, 0.03134046447481595, 0.13728415072603406, -0.059760371134068596, -0.1530053630270356, -0.26418478051017896, -0.08353915797802162, -0.14861253177856698, 0.054436220515829824, -0.09957738609598749, -0.14144255011798998, 0.43943456714224144, 0.1821949947808011, 0.21658914737567744, -0.002469924301383834, 0.21382194576447136, 0.07901756154651772, 0.013825908160024304, 0.031171818284372634, 0.20401296878744865, 0.10614036550681454, 0.0901586975783621, -0.26029225724393174, 0.15748370805408293, 0.021185747790606876] |
711.1654 | Effects of inhomogeneous activity of players and noise on cooperation in
spatial public goods games | We study the public goods game in the noisy case by considering the players
with inhomogeneous activity teaching on a square lattice. It is shown that the
introduction of the inhomogeneous activity of teaching of the players can
remarkably promote cooperation. By investigating the effects of noise on
cooperative behavior in detail, we find that the variation of cooperator
density $\rho_C$ with the noise parameter $\kappa$ displays several different
behaviors: $\rho_C$ monotonically increases (decreases) with $\kappa$; $\rho_C$
firstly increases (decreases) with $\kappa$ and then it decreases (increases)
monotonically after reaching its maximum (minimum) value, which depends on the
amount of the multiplication factor $r$, on whether the system is homogeneous
or inhomogeneous, and on whether the adopted updating is synchronous or
asynchronous. These results imply that the noise plays an important and
nontrivial role in the evolution of cooperation.
| physics.soc-ph | we study the public goods game in the noisy case by considering the players with inhomogeneous activity teaching on a square lattice it is shown that the introduction of the inhomogeneous activity of teaching of the players can remarkably promote cooperation by investigating the effects of noise on cooperative behavior in detail we find that the variation of cooperator density rho_c with the noise parameter kappa displays several different behaviors rho_c monotonically increases decreases with kappa rho_c firstly increases decreases with kappa and then it decreases increases monotonically after reaching its maximum minimum value which depends on the amount of the multiplication factor r on whether the system is homogeneous or inhomogeneous and on whether the adopted updating is synchronous or asynchronous these results imply that the noise plays an important and nontrivial role in the evolution of cooperation | [['we', 'study', 'the', 'public', 'goods', 'game', 'in', 'the', 'noisy', 'case', 'by', 'considering', 'the', 'players', 'with', 'inhomogeneous', 'activity', 'teaching', 'on', 'a', 'square', 'lattice', 'it', 'is', 'shown', 'that', 'the', 'introduction', 'of', 'the', 'inhomogeneous', 'activity', 'of', 'teaching', 'of', 'the', 'players', 'can', 'remarkably', 'promote', 'cooperation', 'by', 'investigating', 'the', 'effects', 'of', 'noise', 'on', 'cooperative', 'behavior', 'in', 'detail', 'we', 'find', 'that', 'the', 'variation', 'of', 'cooperator', 'density', 'rho_c', 'with', 'the', 'noise', 'parameter', 'kappa', 'displays', 'several', 'different', 'behaviors', 'rho_c', 'monotonically', 'increases', 'decreases', 'with', 'kappa', 'rho_c', 'firstly', 'increases', 'decreases', 'with', 'kappa', 'and', 'then', 'it', 'decreases', 'increases', 'monotonically', 'after', 'reaching', 'its', 'maximum', 'minimum', 'value', 'which', 'depends', 'on', 'the', 'amount', 'of', 'the', 'multiplication', 'factor', 'r', 'on', 'whether', 'the', 'system', 'is', 'homogeneous', 'or', 'inhomogeneous', 'and', 'on', 'whether', 'the', 'adopted', 'updating', 'is', 'synchronous', 'or', 'asynchronous', 'these', 'results', 'imply', 'that', 'the', 'noise', 'plays', 'an', 'important', 'and', 'nontrivial', 'role', 'in', 'the', 'evolution', 'of', 'cooperation']] | [-0.16667122438486343, 0.19046336387565926, -0.04408631112305916, 0.02515416203331363, -0.02777194878314253, -0.15234082462199086, 0.07923684567514566, 0.37074489946972927, -0.25753754583730115, -0.3071383847620526, 0.09752959149417287, -0.2975056643526383, -0.1602049148440522, 0.12071777713022751, -0.05979201332297471, -0.051934642027544275, 0.010158938561773878, 0.08969281448165237, -0.0441741342103551, -0.2873066687996653, 0.35382846241696275, 0.09066376120535483, 0.31721910793608954, 0.044787761666510495, 0.06823707340459387, 0.028677513117721078, -0.022145132596182417, 0.06490000724296668, -0.15439678995827968, 0.020308966309555785, 0.19202814775137164, 0.12330258497298299, 0.32440476236813, -0.36702767256379343, -0.20338661862510465, 0.10035600790271548, 0.142948612730729, 0.059505185094769215, -0.01404827565922931, -0.22912970806217398, 0.055535892577399666, -0.16077460523815357, -0.13078416753627306, -0.02503573578923083, 0.05278491325803744, 0.038545835108275146, -0.2839535810413482, 0.11151194102432338, 0.06435910888056424, 0.06765852528858743, -0.06660303885406955, -0.14477538253371638, -0.05340580724970364, 0.15821162187293333, 0.07641354827846823, 0.044547788033315494, 0.17849478087465032, -0.192536102514044, -0.06409280324059961, 0.3379963806716444, -0.08303738353780651, -0.14528051660590463, 0.16927941910346314, -0.12901110031889926, -0.09131709550714234, 0.10290774208093197, 0.13330706958022479, 0.07398988091949668, -0.037361021987799045, 0.06425337062808585, -0.019174542855102863, 0.23153687781686125, 0.04063535530602546, 0.03651929524452459, 0.17160422771435446, 0.1986734428494941, 0.1298296966208078, 0.15714127942668474, -0.04905785034450857, -0.15097963492044333, -0.23598947241339538, -0.1024090367379404, -0.16148874737161525, 0.060026426544989187, -0.1531711395109858, -0.1295381546187593, 0.3516360144030383, 0.1414400200265721, 0.1723867933024659, 0.03673016656066204, 0.24786685517714394, 0.14312041139819745, 0.027494953849383046, 0.0813089174473082, 0.22087967170657014, 0.10343995455505071, 0.12403169219053799, -0.2995002036177212, 0.13887883449080501, -0.022596268829212878] |
711.1655 | Congestion diffusion and decongestion strategy in networked traffic | We study the information traffic in Barab\'asi-Albert scale free networks
wherein each node has finite queue length to store the packets. It is found
that in the case of shortest path routing strategy the networks undergo a first
order phase transition i.e., from a free flow state to full congestion sate,
with the increasing of the packet generation rate. We also incorporate random
effect (namely random selection of a neighbor to deliver packets) as well as a
control method (namely the packet-dropping strategy of the congested nodes
after some delay time $T$) into the routing protocol to test the traffic
capacity of the heterogeneous networks. It is shown that there exists optimal
value of $T$ for the networks to achieve the best handling ability, and the
presence of appropriate random effect also attributes to the performance of the
networks.
| physics.soc-ph | we study the information traffic in barabasialbert scale free networks wherein each node has finite queue length to store the packets it is found that in the case of shortest path routing strategy the networks undergo a first order phase transition ie from a free flow state to full congestion sate with the increasing of the packet generation rate we also incorporate random effect namely random selection of a neighbor to deliver packets as well as a control method namely the packetdropping strategy of the congested nodes after some delay time t into the routing protocol to test the traffic capacity of the heterogeneous networks it is shown that there exists optimal value of t for the networks to achieve the best handling ability and the presence of appropriate random effect also attributes to the performance of the networks | [['we', 'study', 'the', 'information', 'traffic', 'in', 'barabasialbert', 'scale', 'free', 'networks', 'wherein', 'each', 'node', 'has', 'finite', 'queue', 'length', 'to', 'store', 'the', 'packets', 'it', 'is', 'found', 'that', 'in', 'the', 'case', 'of', 'shortest', 'path', 'routing', 'strategy', 'the', 'networks', 'undergo', 'a', 'first', 'order', 'phase', 'transition', 'ie', 'from', 'a', 'free', 'flow', 'state', 'to', 'full', 'congestion', 'sate', 'with', 'the', 'increasing', 'of', 'the', 'packet', 'generation', 'rate', 'we', 'also', 'incorporate', 'random', 'effect', 'namely', 'random', 'selection', 'of', 'a', 'neighbor', 'to', 'deliver', 'packets', 'as', 'well', 'as', 'a', 'control', 'method', 'namely', 'the', 'packetdropping', 'strategy', 'of', 'the', 'congested', 'nodes', 'after', 'some', 'delay', 'time', 't', 'into', 'the', 'routing', 'protocol', 'to', 'test', 'the', 'traffic', 'capacity', 'of', 'the', 'heterogeneous', 'networks', 'it', 'is', 'shown', 'that', 'there', 'exists', 'optimal', 'value', 'of', 't', 'for', 'the', 'networks', 'to', 'achieve', 'the', 'best', 'handling', 'ability', 'and', 'the', 'presence', 'of', 'appropriate', 'random', 'effect', 'also', 'attributes', 'to', 'the', 'performance', 'of', 'the', 'networks']] | [-0.19258563027610862, 0.10746844401650077, -0.05408885744366822, 0.03036878719128561, -0.06280006635800112, -0.18873048234871662, 0.1432918552359526, 0.4058418424545432, -0.31033238938761704, -0.2640882478021889, 0.08860771174261199, -0.2828756239593511, -0.1519046874512523, 0.12345369808081029, -0.05460570418701353, 0.1005411323649045, 0.06806169111422337, 0.12537330301920716, 0.016187559267197796, -0.2699929824092244, 0.29118194581150153, 0.07323418157644195, 0.35075547002095114, 0.050448660472015974, 0.11548973966168789, 0.022803195082187224, 0.014273887768173388, 0.02895217196741175, -0.09671411753212111, 0.04841547558191333, 0.25025623729586494, 0.13487569645395597, 0.2955125567885183, -0.4170663988740324, -0.2873197099488738, 0.15519558059942754, 0.1140273667456542, 0.13518246006733142, 0.0005922036646637503, -0.2636796936992449, 0.12236948846336856, -0.1922642906054456, -0.0771394002539434, -0.01143057346544999, 0.016215231584505642, 0.058974982227580686, -0.28578326494764644, 0.011832475498496227, 0.021948460123515118, -0.039399058574797224, -0.022836261327133896, -0.0574875044127216, -0.04551515878779519, 0.19208046007841129, 0.03957894698066784, 0.028085562390469606, 0.09964936837954312, -0.12921451369179882, -0.14716038818926744, 0.4137924375186721, -0.03365390307501146, -0.16238768159398448, 0.11854306304083614, -0.0537648845745398, -0.10079839224290611, 0.14668660474230918, 0.21671574993608453, 0.08561614763641583, -0.15060620665175023, -0.010167955243775768, -0.010214761442256918, 0.16027299682911245, 0.060331356698285335, 0.06616032716236915, 0.10558451534980252, 0.2276923317301402, 0.16594483298015036, 0.1520375770000781, -0.11031411791541915, -0.1568193531816276, -0.23613594172911034, -0.12524532579662775, -0.2040601568966568, 0.02547539459045628, -0.12875573640584984, -0.16052254525297188, 0.3883159273495, 0.1769996797146691, 0.20646740382590847, 0.10578162236500988, 0.32522735230058514, 0.08668311709276796, 0.07878219136606446, 0.15679567945256775, 0.14101196574017894, 0.08213035734923115, 0.16123330097967128, -0.2327089964214498, 0.13142195904774845, 0.045298503309809904] |
711.1656 | The Arrow Of Time In The Landscape | We argue that an understanding of the Arrow of Time is urgently required if
recent string-theoretic ideas about cosmology are to be made to function. In
the string Landscape, the nucleation of baby universes is postulated to
"populate" the multiverse. Here we argue that baby universes can only have an
Arrow if they \emph{inherit} one; the problem of explaining the Arrow is thus
reduced to explaining it in the case of the original universe. Motivated by the
Ooguri-Vafa-Verlinde formulation of "creation from nothing" in the context of
string theory, we propose that the original universe was created along a
spacelike surface with the topology of a torus. Using deep results in global
differential geometry, we are able to show that the geometry of this surface
had to be non-generic. This geometric "specialness" is communicated to matter
through the inflaton. Thus we have a theory of the Arrow which is intrinsically
geometric, which incorporates Inflation, and which allows universes in the
Landscape to begin with physically acceptable initial conditions.
| hep-th gr-qc | we argue that an understanding of the arrow of time is urgently required if recent stringtheoretic ideas about cosmology are to be made to function in the string landscape the nucleation of baby universes is postulated to populate the multiverse here we argue that baby universes can only have an arrow if they emphinherit one the problem of explaining the arrow is thus reduced to explaining it in the case of the original universe motivated by the oogurivafaverlinde formulation of creation from nothing in the context of string theory we propose that the original universe was created along a spacelike surface with the topology of a torus using deep results in global differential geometry we are able to show that the geometry of this surface had to be nongeneric this geometric specialness is communicated to matter through the inflaton thus we have a theory of the arrow which is intrinsically geometric which incorporates inflation and which allows universes in the landscape to begin with physically acceptable initial conditions | [['we', 'argue', 'that', 'an', 'understanding', 'of', 'the', 'arrow', 'of', 'time', 'is', 'urgently', 'required', 'if', 'recent', 'stringtheoretic', 'ideas', 'about', 'cosmology', 'are', 'to', 'be', 'made', 'to', 'function', 'in', 'the', 'string', 'landscape', 'the', 'nucleation', 'of', 'baby', 'universes', 'is', 'postulated', 'to', 'populate', 'the', 'multiverse', 'here', 'we', 'argue', 'that', 'baby', 'universes', 'can', 'only', 'have', 'an', 'arrow', 'if', 'they', 'emphinherit', 'one', 'the', 'problem', 'of', 'explaining', 'the', 'arrow', 'is', 'thus', 'reduced', 'to', 'explaining', 'it', 'in', 'the', 'case', 'of', 'the', 'original', 'universe', 'motivated', 'by', 'the', 'oogurivafaverlinde', 'formulation', 'of', 'creation', 'from', 'nothing', 'in', 'the', 'context', 'of', 'string', 'theory', 'we', 'propose', 'that', 'the', 'original', 'universe', 'was', 'created', 'along', 'a', 'spacelike', 'surface', 'with', 'the', 'topology', 'of', 'a', 'torus', 'using', 'deep', 'results', 'in', 'global', 'differential', 'geometry', 'we', 'are', 'able', 'to', 'show', 'that', 'the', 'geometry', 'of', 'this', 'surface', 'had', 'to', 'be', 'nongeneric', 'this', 'geometric', 'specialness', 'is', 'communicated', 'to', 'matter', 'through', 'the', 'inflaton', 'thus', 'we', 'have', 'a', 'theory', 'of', 'the', 'arrow', 'which', 'is', 'intrinsically', 'geometric', 'which', 'incorporates', 'inflation', 'and', 'which', 'allows', 'universes', 'in', 'the', 'landscape', 'to', 'begin', 'with', 'physically', 'acceptable', 'initial', 'conditions']] | [-0.10715484690392413, 0.1481946071314258, -0.1736656317812761, 0.11557243452954431, -0.11671631328666202, -0.10937453421247921, -0.003373583580973188, 0.3327791202611413, -0.27054108055981707, -0.30474669795977066, 0.08318921871881663, -0.20974552882311048, -0.13668777453376496, 0.14303998772268106, -0.11403484385971159, -0.024032867293389715, 0.014602074355408773, 0.058442372228411664, -0.02936865443978122, -0.2990369007176529, 0.3534716529496777, 0.06711952340282802, 0.23976110756475794, 0.035160346305929124, 0.10134758932953589, -0.04918613242467933, -0.01460409809061023, 0.03996599384258131, -0.1519587012170884, 0.14372017373490786, 0.21351137226419412, 0.1735278876029875, 0.2285775378941143, -0.4867607665729305, -0.23774337765749498, 0.13385729679097252, 0.14472460163285933, 0.18465928943676618, -0.015090915570119733, -0.27485745448579857, 0.10232347727988858, -0.13928075125777578, -0.1545814731064211, -0.05225498409358313, 0.036166620892416464, -0.06559893848789654, -0.176332949849718, 0.06341115063679102, 0.02769993726971997, -0.027658163710127037, -0.08101782781746608, -0.00666894820092403, -0.029113321926610276, 0.07676503117370184, 0.09283277601514191, 0.05293918111226914, 0.11407097365078797, -0.1627905707138714, -0.12015908662824476, 0.38387052150420753, -0.03895174472379577, -0.18031384017560786, 0.1379423357002123, -0.14398424285085287, -0.14375446940469275, 0.09416991015840097, 0.06410051816625588, 0.08963958140327988, -0.13451722621951387, 0.13325301740642537, -0.03636157641703465, 0.13781934960447925, 0.07103929010567715, 0.00968614161605049, 0.2891952973869012, 0.1598510726331172, 0.040426672001492726, 0.11564149321000798, -0.007552381104205669, -0.14494669639241758, -0.3614787476204605, -0.16424353451871998, -0.1498597884124302, 0.08663866439334914, -0.06591662003072077, -0.17654376214998493, 0.3720369388767327, 0.15521635780817863, 0.21757732764873877, 0.008265485746346987, 0.2322713037705924, 0.06393731244929494, 0.05631875994275829, 0.06600222656088152, 0.24990816080679062, 0.08630514413353998, 0.10981747082501919, -0.18238147482358716, 0.049670708439374586, 0.06991714871059318] |
711.1657 | Two-dimensional discrete wavelet analysis of multiparticle event
topology in heavy ion collisions | The event-by-event analysis of multiparticle production in high energy hadron
and nuclei collisions can be performed using the discrete wavelet
transformation. The ring-like and jet-like structures in two-dimensional
angular histograms are well extracted by wavelet analysis. For the first time
the method is applied to the jet-like events with background simulated by event
generators, which are developed to describe nucleus-nucleus collisions at LHC
energies. The jet positions are located quite well by the discrete wavelet
transformation of angular particle distribution even in presence of strong
background.
| nucl-ex astro-ph hep-ph nucl-th | the eventbyevent analysis of multiparticle production in high energy hadron and nuclei collisions can be performed using the discrete wavelet transformation the ringlike and jetlike structures in twodimensional angular histograms are well extracted by wavelet analysis for the first time the method is applied to the jetlike events with background simulated by event generators which are developed to describe nucleusnucleus collisions at lhc energies the jet positions are located quite well by the discrete wavelet transformation of angular particle distribution even in presence of strong background | [['the', 'eventbyevent', 'analysis', 'of', 'multiparticle', 'production', 'in', 'high', 'energy', 'hadron', 'and', 'nuclei', 'collisions', 'can', 'be', 'performed', 'using', 'the', 'discrete', 'wavelet', 'transformation', 'the', 'ringlike', 'and', 'jetlike', 'structures', 'in', 'twodimensional', 'angular', 'histograms', 'are', 'well', 'extracted', 'by', 'wavelet', 'analysis', 'for', 'the', 'first', 'time', 'the', 'method', 'is', 'applied', 'to', 'the', 'jetlike', 'events', 'with', 'background', 'simulated', 'by', 'event', 'generators', 'which', 'are', 'developed', 'to', 'describe', 'nucleusnucleus', 'collisions', 'at', 'lhc', 'energies', 'the', 'jet', 'positions', 'are', 'located', 'quite', 'well', 'by', 'the', 'discrete', 'wavelet', 'transformation', 'of', 'angular', 'particle', 'distribution', 'even', 'in', 'presence', 'of', 'strong', 'background']] | [-0.03827376867005558, 0.16788840598729982, -0.17184425042508994, 0.1522253466144659, 0.009184377506202044, -0.06567832907705112, -0.12963700988654828, 0.41391367385120587, -0.24291699766831168, -0.32152142315063365, 0.03981277841646874, -0.30508445378739474, 0.002025637689024903, 0.16419485332254796, 0.06810199036154636, 0.12016583127538176, 0.11656007609332825, -0.01628257560023908, -0.03541740655173482, -0.15252462307500197, 0.28105278067063366, 0.17436723003900328, 0.27153170598280985, 0.03161059088225281, 0.1005841714308359, 0.05026624788432707, -0.10603771751494753, 0.011406670324504375, -0.05629590076264427, 0.05078786918094793, 0.2833422802491547, 0.04905956194649429, 0.13520429071125595, -0.4167698440900029, -0.17204348790610946, 0.08157496675199201, 0.15995882272308823, 0.08817178835289628, -0.07687002089047848, -0.3283658689646007, 0.09783883731227455, -0.1656236035835951, -0.13192367988508627, -0.08590507968112307, -0.006886645989102679, 0.07558919908478856, -0.25412712473595556, 0.1650949993043384, 0.006867504678666592, 0.08442257078591907, -0.03310445129470683, -0.09632638720578926, -0.09042378042846225, 0.028948905228009057, 0.07205057023688717, 0.04447468786587029, 0.21023855475860453, -0.0748397727350726, -0.15777930912431762, 0.3990358126371406, 0.0008366695052922465, -0.1765530841901552, 0.1941946284266102, -0.21738498037962548, -0.15933804292513362, 0.20690624816559774, 0.25277775201166786, 0.07766829597287227, -0.1964459686734995, 0.02725313030329511, 0.00610934387415994, 0.13630432221594505, 0.10800771387889548, 0.051368770449487275, 0.21427587091619538, 0.14477539429614364, -0.02898340702035226, 0.12664878232875665, -0.19926925401235823, -0.069749015729961, -0.3534421917419274, -0.04866421714338452, -0.20000095282908703, -0.035996546737340734, -0.09654909036045103, -0.1078974275178341, 0.4012655254269322, 0.07345369503140277, 0.2559712593941841, -0.039172913520434484, 0.2778893836210807, 0.12293499385461558, 0.0516700484156392, 0.1030213747817893, 0.24367741982690816, 0.12125810975111415, 0.16543827506410347, -0.19583681685481827, 0.015104627171747907, 0.09830672502907556] |
711.1658 | Semiclassical symmetry of the Gross-Pitaevskii equation with quadratic
nonlocal Hamiltonian | The Cauchy problem for the Gross--Pitaevsky equation with quadratic nonlocal
nonlinearity is reduced to a similar problem for the correspondent linear
equation. The relation between symmetry operators of the linear and nonlinear
Gross--Pitaevsky equations is considered.
| math-ph math.MP | the cauchy problem for the grosspitaevsky equation with quadratic nonlocal nonlinearity is reduced to a similar problem for the correspondent linear equation the relation between symmetry operators of the linear and nonlinear grosspitaevsky equations is considered | [['the', 'cauchy', 'problem', 'for', 'the', 'grosspitaevsky', 'equation', 'with', 'quadratic', 'nonlocal', 'nonlinearity', 'is', 'reduced', 'to', 'a', 'similar', 'problem', 'for', 'the', 'correspondent', 'linear', 'equation', 'the', 'relation', 'between', 'symmetry', 'operators', 'of', 'the', 'linear', 'and', 'nonlinear', 'grosspitaevsky', 'equations', 'is', 'considered']] | [-0.14155598998897606, 0.035864613872642316, -0.04571556214553615, 0.08460478033197837, -0.16392536881095213, -0.1762329742907443, -0.09053541637129253, 0.21001786852462423, -0.37659909141560394, -0.217235688223607, 0.09268958007709847, -0.34627494691974586, -0.17122736264071944, 0.17933295054050782, 0.00994776290220519, 0.1893947480453385, -0.003556022989667124, 0.010840879184090428, -0.14890494731824017, -0.21056055329326126, 0.3757639976425303, -0.04163215337838563, 0.23873359451277387, -0.0001474505988880992, 0.19092039976062047, 0.011293881327017315, 0.022991053915272158, 0.00935943155652947, -0.1133832961657188, 0.07127111399313435, 0.2648836998657013, 0.00933861379356434, 0.28135598586717, -0.42568487994786763, -0.19691551650046474, 0.1300210248058041, 0.06702410812593168, 0.12256746832281351, 0.003544932541747888, -0.27326235278613037, 0.06440215421025641, -0.09302996559482482, -0.1889422164660775, 0.0431295508880996, 0.06105158798810509, 0.011607704166736867, -0.3090375350374315, 0.21161728837372115, 0.09191602719430295, -0.005352831342154079, -0.17566796011912325, -0.03650723946177297, -0.05670142235855261, -8.51225858140323e-05, 0.023800088694163907, -0.03328503659253733, -0.052495001786155626, -0.161942381463531, -0.04616861045360565, 0.40667916275560856, -0.09601734609653552, -0.34349507393522394, 0.08435190644943052, -0.07051280184855892, -0.0551199205349096, 0.056879878561529845, 0.17636702485227337, 0.12618310638289484, -0.17459864270252487, 0.1863939143287199, -0.07510902824449456, 0.15298532937756842, 0.05259100226168004, -0.02461045512205197, 0.07026247892321812, 0.11564301828750306, 0.1377304126249833, 0.16082446794543, 0.07412999516559972, -0.15737885140374097, -0.31747197411540484, -0.13195703789177868, -0.12012487543850309, 0.06010987858947677, -0.12744486162450308, -0.16210379539471534, 0.3657011743634939, 0.05727718449715111, 0.13293012588595352, 0.07786413985821936, 0.2038493731783496, 0.35362233635452056, 0.054660993731684156, 0.031525226309895515, 0.22169966969846022, 0.2257656908283631, 0.13460049529870352, -0.3608131671984059, 0.009354341461504292, 0.16869405970080859] |
711.1659 | Effective elastic theory of smectic-A and smectic-C liquid crystals | We analytically derive the effective layer elastic energy of smectic-A and
smectic-C liquid crystals by adiabatic elimination of the orientational degree
of freedom from the generalized Chen-Lubensky model. In the smectic-A phase,
the effective layer bending elastic modulus is calculated as a function of the
wavelength of the layer undulation mode. It turns out that an unlocking of the
layer normal and the director reduces the layer bending rigidity for
wavelengths smaller than the director penetration length. In the achiral
smectic-C phase, an anisotropic bending elasticity appears due to the coupling
between the layer displacement and director. The effective layer bending
rigidity is calculated as a function of the angle $\vartheta$ between the layer
undulation wave-vector and the director field. We compute the free energy
minimizer $\vartheta=\theta$. It turns out that $\theta$ varies from $0\deg$ to
$90\deg$ depending on the tilt angle, undulation wave-length and other elastic
constants. We also discover a new important characteristic length and the
discontinuous change of $\theta$. Using the elastic constants of Chen-Lubensky
model, we determine the parameters of the more macroscopic model [Y. Hatwalne
and T. C. Lubensky, Phys. Rev. E {\bf 52}, 6240 (1995)]. We then discuss the
hydrodynamics, and demonstrate the alignment of director and the propagation of
the anisotropic layer displacement wave in the presence of an oscillatory wall
and a vibrating cylindrical source respectively.
| cond-mat.soft | we analytically derive the effective layer elastic energy of smectica and smecticc liquid crystals by adiabatic elimination of the orientational degree of freedom from the generalized chenlubensky model in the smectica phase the effective layer bending elastic modulus is calculated as a function of the wavelength of the layer undulation mode it turns out that an unlocking of the layer normal and the director reduces the layer bending rigidity for wavelengths smaller than the director penetration length in the achiral smecticc phase an anisotropic bending elasticity appears due to the coupling between the layer displacement and director the effective layer bending rigidity is calculated as a function of the angle vartheta between the layer undulation wavevector and the director field we compute the free energy minimizer varthetatheta it turns out that theta varies from 0deg to 90deg depending on the tilt angle undulation wavelength and other elastic constants we also discover a new important characteristic length and the discontinuous change of theta using the elastic constants of chenlubensky model we determine the parameters of the more macroscopic model y hatwalne and t c lubensky phys rev e bf 52 6240 1995 we then discuss the hydrodynamics and demonstrate the alignment of director and the propagation of the anisotropic layer displacement wave in the presence of an oscillatory wall and a vibrating cylindrical source respectively | [['we', 'analytically', 'derive', 'the', 'effective', 'layer', 'elastic', 'energy', 'of', 'smectica', 'and', 'smecticc', 'liquid', 'crystals', 'by', 'adiabatic', 'elimination', 'of', 'the', 'orientational', 'degree', 'of', 'freedom', 'from', 'the', 'generalized', 'chenlubensky', 'model', 'in', 'the', 'smectica', 'phase', 'the', 'effective', 'layer', 'bending', 'elastic', 'modulus', 'is', 'calculated', 'as', 'a', 'function', 'of', 'the', 'wavelength', 'of', 'the', 'layer', 'undulation', 'mode', 'it', 'turns', 'out', 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'discontinuous', 'change', 'of', 'theta', 'using', 'the', 'elastic', 'constants', 'of', 'chenlubensky', 'model', 'we', 'determine', 'the', 'parameters', 'of', 'the', 'more', 'macroscopic', 'model', 'y', 'hatwalne', 'and', 't', 'c', 'lubensky', 'phys', 'rev', 'e', 'bf', '52', '6240', '1995', 'we', 'then', 'discuss', 'the', 'hydrodynamics', 'and', 'demonstrate', 'the', 'alignment', 'of', 'director', 'and', 'the', 'propagation', 'of', 'the', 'anisotropic', 'layer', 'displacement', 'wave', 'in', 'the', 'presence', 'of', 'an', 'oscillatory', 'wall', 'and', 'a', 'vibrating', 'cylindrical', 'source', 'respectively']] | [-0.1837049548369717, 0.197719466727453, -0.0713658650376339, -0.029643603289071972, -0.07232902583305363, -0.12348367477272142, 0.028226884847574005, 0.3660206906623333, -0.3448657143288418, -0.25631869084260483, 0.016440946181401243, -0.2555835551950925, -0.15438724655095856, 0.11322538272964323, 0.029555352903936093, 0.030185343143907754, -0.04793642136805296, 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711.166 | The Hamiltonian Mean Field model: anomalous or normal diffusion? | We consider the out-of-equilibrium dynamics of the Hamiltonian Mean Field
(HMF) model, by focusing in particular on the properties of single-particle
diffusion. As we shall here demonstrate analytically, if the autocorrelation of
momenta in the so-called quasi-stationary states can be fitted by a
q-exponential, then diffusion ought to be normal for q<2, at variance with the
interpretation of the numerical experiments proposed in Refs. A. Pluchino, A.
Rapisarda, Progress in Theoretical Physics Supplement 162, 18 (2006); A.
Pluchino, V. Latora, A. Rapisarda, Physica A 338, 60 (2004); A. Rapisarda, A.
Pluchino, Europhysics News 36, 202 (2005).
| cond-mat.stat-mech | we consider the outofequilibrium dynamics of the hamiltonian mean field hmf model by focusing in particular on the properties of singleparticle diffusion as we shall here demonstrate analytically if the autocorrelation of momenta in the socalled quasistationary states can be fitted by a qexponential then diffusion ought to be normal for q2 at variance with the interpretation of the numerical experiments proposed in refs a pluchino a rapisarda progress in theoretical physics supplement 162 18 2006 a pluchino v latora a rapisarda physica a 338 60 2004 a rapisarda a pluchino europhysics news 36 202 2005 | [['we', 'consider', 'the', 'outofequilibrium', 'dynamics', 'of', 'the', 'hamiltonian', 'mean', 'field', 'hmf', 'model', 'by', 'focusing', 'in', 'particular', 'on', 'the', 'properties', 'of', 'singleparticle', 'diffusion', 'as', 'we', 'shall', 'here', 'demonstrate', 'analytically', 'if', 'the', 'autocorrelation', 'of', 'momenta', 'in', 'the', 'socalled', 'quasistationary', 'states', 'can', 'be', 'fitted', 'by', 'a', 'qexponential', 'then', 'diffusion', 'ought', 'to', 'be', 'normal', 'for', 'q2', 'at', 'variance', 'with', 'the', 'interpretation', 'of', 'the', 'numerical', 'experiments', 'proposed', 'in', 'refs', 'a', 'pluchino', 'a', 'rapisarda', 'progress', 'in', 'theoretical', 'physics', 'supplement', '162', '18', '2006', 'a', 'pluchino', 'v', 'latora', 'a', 'rapisarda', 'physica', 'a', '338', '60', '2004', 'a', 'rapisarda', 'a', 'pluchino', 'europhysics', 'news', '36', '202', '2005']] | [-0.0769308009086863, 0.14656945494444748, -0.11437571174710205, 0.06300523596276578, -0.025093617907872325, -0.09018823165250452, 0.05790719661592065, 0.32569338671470943, -0.18160495250853464, -0.32305783845092123, 0.058694462711604216, -0.28647796940916265, -0.13139863570073718, 0.17842986384945872, -0.039674721491572106, 0.028278760234580227, 0.042929412512794925, -0.009282705383865457, -0.048142285635204694, -0.24108501185761078, 0.1870651909885438, 0.0645161575196605, 0.2331293435669259, 0.0476079803242005, 0.07750574824596314, 0.010003458259406647, -0.01724231433809588, 0.021778497321678227, -0.18041751217097043, 0.046645369210991224, 0.22232178773142788, 0.061037024826203524, 0.2912636241655012, -0.3285068506669057, -0.19360364639249286, 0.024212288797685975, 0.11344135428631777, 0.06695349145876733, -0.01009201632052856, -0.30075084090624987, 0.013499395679192323, -0.22132248004016122, -0.15021110334874768, -0.04335353765146513, 0.09957955795413766, 0.01997748342048573, -0.26728113683822907, 0.13791978929044776, 0.037138360968521356, 0.10381895644639276, -0.029035588835464105, -0.15386113650900754, -0.028351268709000003, -0.008466791988987673, -0.01563956948034741, 0.05733996593932572, 0.0751070813922285, -0.10762639485887791, -0.16482704244063873, 0.3390083946679768, -0.10704411234412538, -0.15822538691572846, 0.12288814882600778, -0.13775395995103998, -0.13003582323068066, 0.11434860741474519, 0.1711450923920462, 0.0879061248949974, -0.19164803426124546, 0.12389688396728353, -0.0904724432008439, 0.14351579729761732, 0.04348175169556941, -0.05656571944587325, 0.16520492601710812, 0.14661356433735867, -0.05414559446079166, 0.0880451247561723, -0.14147198359040838, -0.07518365263546768, -0.28967937183027204, -0.14823393980041147, -0.18370226906416448, 0.1401611004269829, -0.03255972710291022, -0.07934039015518991, 0.4112183586939385, 0.13231468781534778, 0.22566599304738796, 0.022505728351442437, 0.18365788645062006, 0.09730875539029703, -0.039599147272345266, 0.10338461502014022, 0.2685398164058202, 0.16499388639226947, 0.13631934877975208, -0.2020915456949488, 0.003292271239977134, 0.04170379971742238] |
711.1661 | LHCb status and charm physics program | LHCb is a dedicated flavor physics experiment that will observe the 14 TeV
proton-proton collisions at CERN's Large Hadron Collider (LHC). Construction of
the LHCb detector is near completion, commissioning of the detector is well
underway, and LHCb will be fully operational and ready to take data in advance
of the projected May 2008 turn-on date for the LHC. The LHCb software trigger
will feature a dedicated channel for events containing D* mesons that will
dramatically enhance the statistical reach of LHCb in many charm physics
measurements. The LHCb charm physics program is initially focused on mixing and
CP violation measurements in two body decay modes of D0. A much broader program
is possible and will be explored as manpower allows. We intend to use both
promptly produced charm and secondary charm from B meson decays in
measurements. Initial studies have focused on using secondary D*+ mesons for
mixing measurements in two body decays. Preliminary Monte Carlo studies
indicate that LHCb may obtain a statistical precision of \sigma(x'^2) = +/-
0.064 x 10^{-3} (stat) and \sigma(y') = +/- 0.87 x 10^{-3} (stat) from a time
dependent mixing analysis of wrong sign two body D0 --> pi- K+ decays and a
statistical precision of \sigma(y_{CP}) = +/- 0.5 x 10^{-3} (stat) from a ratio
of the lifetimes of D0 decays to the final states K- K+ and K- pi+ in 10
fb^{-1} of data.
| hep-ex | lhcb is a dedicated flavor physics experiment that will observe the 14 tev protonproton collisions at cerns large hadron collider lhc construction of the lhcb detector is near completion commissioning of the detector is well underway and lhcb will be fully operational and ready to take data in advance of the projected may 2008 turnon date for the lhc the lhcb software trigger will feature a dedicated channel for events containing d mesons that will dramatically enhance the statistical reach of lhcb in many charm physics measurements the lhcb charm physics program is initially focused on mixing and cp violation measurements in two body decay modes of d0 a much broader program is possible and will be explored as manpower allows we intend to use both promptly produced charm and secondary charm from b meson decays in measurements initial studies have focused on using secondary d mesons for mixing measurements in two body decays preliminary monte carlo studies indicate that lhcb may obtain a statistical precision of sigmax2 0064 x 103 stat and sigmay 087 x 103 stat from a time dependent mixing analysis of wrong sign two body d0 pi k decays and a statistical precision of sigmay_cp 05 x 103 stat from a ratio of the lifetimes of d0 decays to the final states k k and k pi in 10 fb1 of data | [['lhcb', 'is', 'a', 'dedicated', 'flavor', 'physics', 'experiment', 'that', 'will', 'observe', 'the', '14', 'tev', 'protonproton', 'collisions', 'at', 'cerns', 'large', 'hadron', 'collider', 'lhc', 'construction', 'of', 'the', 'lhcb', 'detector', 'is', 'near', 'completion', 'commissioning', 'of', 'the', 'detector', 'is', 'well', 'underway', 'and', 'lhcb', 'will', 'be', 'fully', 'operational', 'and', 'ready', 'to', 'take', 'data', 'in', 'advance', 'of', 'the', 'projected', 'may', '2008', 'turnon', 'date', 'for', 'the', 'lhc', 'the', 'lhcb', 'software', 'trigger', 'will', 'feature', 'a', 'dedicated', 'channel', 'for', 'events', 'containing', 'd', 'mesons', 'that', 'will', 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711.1662 | Topological entropy and blocking cost for geodesics in riemannian
manifolds | For a pair of points $x,y$ in a compact, riemannian manifold $M$ let
$n_t(x,y)$ (resp. $s_t(x,y)$) be the number of geodesic segments with length
$\leq t$ joining these points (resp. the minimal number of point obstacles
needed to block them). We study relationships between the growth rates of
$n_t(x,y)$ and $s_t(x,y)$ as $t\to\infty$. We derive lower bounds on $s_t(x,y)$
in terms of the topological entropy $h(M)$ and its fundamental group. This
strengthens the results of Burns-Gutkin \cite{BG06} and Lafont-Schmidt
\cite{LS}. For instance, by \cite{BG06,LS}, $h(M)>0$ implies that $s$ is
unbounded; we show that $s$ grows exponentially, with the rate at least
$h(M)/2$.
| math.DS math.DG | for a pair of points xy in a compact riemannian manifold m let n_txy resp s_txy be the number of geodesic segments with length leq t joining these points resp the minimal number of point obstacles needed to block them we study relationships between the growth rates of n_txy and s_txy as ttoinfty we derive lower bounds on s_txy in terms of the topological entropy hm and its fundamental group this strengthens the results of burnsgutkin citebg06 and lafontschmidt citels for instance by citebg06ls hm0 implies that s is unbounded we show that s grows exponentially with the rate at least hm2 | [['for', 'a', 'pair', 'of', 'points', 'xy', 'in', 'a', 'compact', 'riemannian', 'manifold', 'm', 'let', 'n_txy', 'resp', 's_txy', 'be', 'the', 'number', 'of', 'geodesic', 'segments', 'with', 'length', 'leq', 't', 'joining', 'these', 'points', 'resp', 'the', 'minimal', 'number', 'of', 'point', 'obstacles', 'needed', 'to', 'block', 'them', 'we', 'study', 'relationships', 'between', 'the', 'growth', 'rates', 'of', 'n_txy', 'and', 's_txy', 'as', 'ttoinfty', 'we', 'derive', 'lower', 'bounds', 'on', 's_txy', 'in', 'terms', 'of', 'the', 'topological', 'entropy', 'hm', 'and', 'its', 'fundamental', 'group', 'this', 'strengthens', 'the', 'results', 'of', 'burnsgutkin', 'citebg06', 'and', 'lafontschmidt', 'citels', 'for', 'instance', 'by', 'citebg06ls', 'hm0', 'implies', 'that', 's', 'is', 'unbounded', 'we', 'show', 'that', 's', 'grows', 'exponentially', 'with', 'the', 'rate', 'at', 'least', 'hm2']] | [-0.20719507961621275, 0.15594719128663806, -0.027228346235157613, 0.0393595230949965, -0.025058179157592047, -0.14386679187009577, 0.08292266646943365, 0.3175297076619851, -0.2699140819774281, -0.2525149053350712, 0.09886676026750744, -0.3356398106116103, -0.09465985857726385, 0.19506008099900404, -0.06702853209571913, 0.016593211873138596, 0.04266622009163257, 0.11297099528019316, -0.07274882215036389, -0.24727972641509646, 0.32119745715560083, -0.02797472899934898, 0.19985454790730728, 0.06029906836920418, 0.09586574380712894, 0.011717166402377188, 0.012891341611975804, 0.03236844487400958, -0.19736182976900332, 0.11924034487553097, 0.2299438775614059, 0.11392224151980675, 0.21978393931810083, -0.37628924910677597, -0.1645066107060605, 0.19099406058861254, 0.1476757163181901, 0.0016909482243742484, 0.0010259536150745892, -0.23189225174185898, 0.18061013345982246, -0.08344340304999302, -0.15773523969983216, -0.006037948459076385, 0.10236093874361056, 0.0385321950410192, -0.2626717942378794, 0.043015454071185864, 0.12180957760817061, 0.04467293167302463, -0.00823916891264768, -0.11936650316541393, -0.07660639707076673, 0.1034551241803759, 0.07300521127520672, 0.0765231563297372, 0.05041212701568535, -0.0698004784717341, -0.08855343190468072, 0.3150439409170455, -0.11421866088251893, -0.1913608138759931, 0.17307021392722768, -0.17366326371605587, -0.09820471182077502, 0.09683853932074271, 0.14636391775275115, 0.15332099747805236, -0.05182334897229642, 0.15616548984144174, -0.05655059838318266, 0.11125604381625938, 0.0918310138125283, 0.050058609524664156, 0.1588582327046121, 0.12421448685927317, 0.15257333674526308, 0.1442139264254365, -0.06388409865060869, -0.03392788201017538, -0.3469117336110988, -0.21066960300474116, -0.18531921340036206, 0.10541706019284902, -0.1616192043652518, -0.13561977350885476, 0.3166563608683646, 0.06496762489405228, 0.2587033878274572, 0.1476155541507372, 0.1998940750878925, 0.08601413759970455, 0.018353107904355664, 0.16105257264886555, 0.12947463053569663, 0.13795496450499437, -0.012174711242550984, -0.19639164107987503, 0.0347067972276515, 0.1612740080357374] |
711.1663 | Electrical control of surface-wave propagation at the planar interface
of a linear electro-optic materials and an isotropic dielectric material | Surface waves can propagate on the planar interface of a linear electro-optic
(EO) material and an isotropic dielectric material, for restricted ranges of
the orientation angles of the EO material and the refractive index of the
isotropic material. These ranges can be controlled by the application of a dc
electric field, and depend on both the magnitude and the direction of the dc
field. Thus, surface-wave propagation can be electrically controlled by
exploiting the Pockels effect.
| physics.optics physics.class-ph | surface waves can propagate on the planar interface of a linear electrooptic eo material and an isotropic dielectric material for restricted ranges of the orientation angles of the eo material and the refractive index of the isotropic material these ranges can be controlled by the application of a dc electric field and depend on both the magnitude and the direction of the dc field thus surfacewave propagation can be electrically controlled by exploiting the pockels effect | [['surface', 'waves', 'can', 'propagate', 'on', 'the', 'planar', 'interface', 'of', 'a', 'linear', 'electrooptic', 'eo', 'material', 'and', 'an', 'isotropic', 'dielectric', 'material', 'for', 'restricted', 'ranges', 'of', 'the', 'orientation', 'angles', 'of', 'the', 'eo', 'material', 'and', 'the', 'refractive', 'index', 'of', 'the', 'isotropic', 'material', 'these', 'ranges', 'can', 'be', 'controlled', 'by', 'the', 'application', 'of', 'a', 'dc', 'electric', 'field', 'and', 'depend', 'on', 'both', 'the', 'magnitude', 'and', 'the', 'direction', 'of', 'the', 'dc', 'field', 'thus', 'surfacewave', 'propagation', 'can', 'be', 'electrically', 'controlled', 'by', 'exploiting', 'the', 'pockels', 'effect']] | [-0.19293409963383487, 0.2343727579284046, -0.024804562219957773, -0.10264459065480255, -0.1079554328308931, -0.09912875465632073, 0.011094836701982115, 0.45941576538117307, -0.30855345485829994, -0.32577243378680004, 0.1109917608432864, -0.21987034975992223, -0.11449325821166367, 0.26382857504741924, 0.019346732266345305, 0.02204512571915984, -0.06049075130814392, -0.04855902614929762, -0.05226822864068182, -0.10887322125123128, 0.2789036514801218, 0.021212697739859943, 0.33041273253528697, 0.06116747773500576, 0.09056499809038972, 0.04741301778458843, 0.0481909784292312, 0.10652294049137517, -0.09293964424623961, 0.11149971840878654, 0.17998275053871207, -0.06750131902088852, 0.17470360610413513, -0.4628252948781377, -0.23081801650359443, 0.02535066821024214, 0.09960505594254325, 0.11024013828290136, -0.07250735410305328, -0.2822221789852177, 0.03679175291357464, -0.10371390342602115, -0.1397292314734506, -0.008549964349520834, -0.01160098088439554, 0.0727290052822546, -0.2674957351317923, 0.0473954512042263, 0.06421069177112688, 0.053367596248311826, -0.08608972861456048, -0.08356697296748232, -0.06559688279919915, 0.07542477247893419, 0.02623117799674602, 0.019226082245280083, 0.24457745277629184, -0.1546553005464375, -0.06705012804779567, 0.3773826292078746, -0.07717548387580264, -0.21625245871224538, 0.10508319216866144, -0.14373617264017843, 0.09792009770171717, 0.15356743109020354, 0.23419831040021227, 0.10612513614499844, -0.10035149965092148, 0.08722992896678318, -0.0013399761764479703, 0.20268730527574294, 0.12484717651539923, 0.00809293447405492, 0.27237195549241733, 0.12533968676641388, 0.04104667034545472, 0.14945603659266213, -0.11266442282909625, 0.05890407801397439, -0.25956951759412494, -0.20669003357914717, -0.21393773231753394, 0.023016568052729492, -0.19035888121901448, -0.17327961704301598, 0.44586174493949665, 0.10999628921701132, 0.11163194416286915, -0.06339776484099657, 0.2808992271556666, 0.14453385733558158, 0.06359420872391447, 0.03540306126907174, 0.3752353334015137, 0.1635549322420143, 0.11196632085270003, -0.24883595981488102, 0.10893191046105992, -0.02072179868455829] |
711.1664 | Some comparison theorems in Finsler-Hadamard manifolds | We give upper and lower bounds for the ratio of the volume of metric ball to
the area of the metric sphere in Finsler-Hadamard manifolds with pinched
S-curvature. We apply these estimates to find the limit at the infinity for
this ratio. Derived estimates are the generalization of the well-known result
in Riemannian geometry. We also estimate the volume growth entropy for the
balls in such manifolds.
| math.DG math.CV | we give upper and lower bounds for the ratio of the volume of metric ball to the area of the metric sphere in finslerhadamard manifolds with pinched scurvature we apply these estimates to find the limit at the infinity for this ratio derived estimates are the generalization of the wellknown result in riemannian geometry we also estimate the volume growth entropy for the balls in such manifolds | [['we', 'give', 'upper', 'and', 'lower', 'bounds', 'for', 'the', 'ratio', 'of', 'the', 'volume', 'of', 'metric', 'ball', 'to', 'the', 'area', 'of', 'the', 'metric', 'sphere', 'in', 'finslerhadamard', 'manifolds', 'with', 'pinched', 'scurvature', 'we', 'apply', 'these', 'estimates', 'to', 'find', 'the', 'limit', 'at', 'the', 'infinity', 'for', 'this', 'ratio', 'derived', 'estimates', 'are', 'the', 'generalization', 'of', 'the', 'wellknown', 'result', 'in', 'riemannian', 'geometry', 'we', 'also', 'estimate', 'the', 'volume', 'growth', 'entropy', 'for', 'the', 'balls', 'in', 'such', 'manifolds']] | [-0.10238203142227521, 0.06192313418932148, -0.0632613665326985, 0.11679664934436276, -0.024743864340568657, -0.06966370301070943, 0.048559514388664446, 0.2999572815971254, -0.20975575501571841, -0.27973643015486316, 0.16485728022691085, -0.3221414721529208, -0.11787387294739958, 0.22657587318750683, -0.15253077576687532, 0.03593703394116306, 0.02615624461531528, 0.08940208711272189, -0.09407488836336937, -0.27081493500953735, 0.40168066849626266, 0.05155234380778092, 0.27034541369596526, 0.1346170622994428, 0.08585629411086913, -0.042090544046194694, -0.01589039809751644, 0.05849018496975525, -0.28852767675225416, 0.1596692094662741, 0.18745910679337693, 0.08977400120903752, 0.16675630465511287, -0.3612652041796428, -0.1786562626861703, 0.15425121825911217, 0.10259735303472227, 0.041495372999959916, -0.02647907371674456, -0.23743709599349036, 0.08337612691293679, -0.07528096915278305, -0.19720530899158165, -0.043539480226281194, 0.02492672934391494, 0.014141336289310911, -0.23655904826722038, 0.07567628027494204, 0.11738383769989014, -0.012170335878452995, -0.11621078546506478, -0.1346950215259706, 0.02354542737298492, 0.13613513710477682, 0.06516182486579489, 0.028028933831782482, 0.12278331192071314, -0.05817128543797603, -0.036760725456276046, 0.30402600795809015, -0.1381811675295901, -0.29366824192120067, 0.12835965141195305, -0.21176148934373215, -0.13154257601822045, 0.09497298401043709, 0.22556525574468855, 0.14175382419141816, -0.06031208943381016, 0.10894405312137678, -0.036172613425096915, 0.056651709020944005, 0.10603435564813997, 0.034803413382884285, 0.12249074495439209, 0.10489288936438623, 0.1801789346109353, 0.1898869215562912, -0.09822836047761253, -0.09232912763758604, -0.3424721214861206, -0.2144898282530815, -0.17422740398767167, 0.0994199541077685, -0.22823927361051616, -0.20014180167779716, 0.27954803388426774, 0.035498520345496595, 0.2488662313336312, 0.17390551572359764, 0.24930813975298582, 0.11100008294208726, 0.037176936767550545, 0.1216288116802253, 0.2883766227829228, 0.19070990344704086, 0.0786741596938514, -0.14541080780501076, -0.020215805258546302, 0.17258863082961806] |
711.1665 | Unparticle Physics in the Moller Scattering | We investigate the virtual effects of vector unparticles in the Moller
scattering. We derive the analytic expression for scattering amplitudes with
unpolarized beams. We obtain 95% confidence level limits on the unparticle
couplings $\lambda_{V}$ and $\lambda_{A}$ with integrated luminosity of
$L_{int}=50, 500 fb^{-1}$ and $\sqrt{s}=100, 300$ and 500 GeV energies. We show
that limits on $\lambda_{V}$ are more sensitive than $\lambda_{A}$.
| hep-ph | we investigate the virtual effects of vector unparticles in the moller scattering we derive the analytic expression for scattering amplitudes with unpolarized beams we obtain 95 confidence level limits on the unparticle couplings lambda_v and lambda_a with integrated luminosity of l_int50 500 fb1 and sqrts100 300 and 500 gev energies we show that limits on lambda_v are more sensitive than lambda_a | [['we', 'investigate', 'the', 'virtual', 'effects', 'of', 'vector', 'unparticles', 'in', 'the', 'moller', 'scattering', 'we', 'derive', 'the', 'analytic', 'expression', 'for', 'scattering', 'amplitudes', 'with', 'unpolarized', 'beams', 'we', 'obtain', '95', 'confidence', 'level', 'limits', 'on', 'the', 'unparticle', 'couplings', 'lambda_v', 'and', 'lambda_a', 'with', 'integrated', 'luminosity', 'of', 'l_int50', '500', 'fb1', 'and', 'sqrts100', '300', 'and', '500', 'gev', 'energies', 'we', 'show', 'that', 'limits', 'on', 'lambda_v', 'are', 'more', 'sensitive', 'than', 'lambda_a']] | [-0.09152804152690805, 0.2292834620301922, -0.023206177252965667, 0.23299518671507638, -0.06889887113745014, -0.08612877982668579, 0.07049979113896067, 0.4161160236224532, -0.11475817057071254, -0.30602184767679624, 0.009449465338063116, -0.36562925927961865, 0.012156200284759203, 0.20508806898336238, 0.1447279696740831, 0.052480090376532944, 0.04709241949021816, 0.01789178140461445, -0.05223357607222472, -0.18190549050923438, 0.31003084224648775, 0.05721761480284234, 0.26079335107157625, 0.15192812109986942, 0.11113762268796563, 0.07064362824894488, -0.04160234327428043, -0.1358205314958468, -0.1825951339100963, 0.13320203886833043, 0.20455198710163433, 0.05699561683771511, 0.06531992793704072, -0.3607145092760523, -0.05046484738510723, 0.10171293204184621, 0.11848217861261219, 0.061174732997703055, 0.03311275907205224, -0.3269252280704677, 0.06491769496351481, -0.1931717380260428, -0.13217116536106915, -0.07371763486880809, 0.04710958786308765, -0.09543954388548931, -0.3201925933981935, 0.09254400842667868, -0.09619217168074101, 0.06658932149099807, -0.08427109941840172, -0.22696129817826052, -0.03849678786549096, -0.07648322813523313, 0.048114775617917376, 0.01674794891587226, 0.18567719149092834, -0.1214599936424444, -0.11785815476129452, 0.3319331435137428, -0.1479256431623071, -0.17691442885746558, 0.16469179932028055, -0.21445754198357464, -0.07738968040018032, 0.1367738808815678, 0.2404147774601976, 0.05381566011346876, -0.18875595421995967, 0.15668279804619184, 0.00611407522422572, 0.1790942810010165, 0.13998839615378528, 0.10357251233266046, 0.1476347384043038, 0.15881391800940037, 0.02862674572194616, 0.07454155638503532, -0.17951085328434904, -0.0005423464191456636, -0.3720301385968924, -0.09630005458990733, -0.02436982225626707, 0.11469385623931885, -0.13141284848801055, -0.03401505661507447, 0.3160136263817549, 0.2120797210528205, 0.2793431602534838, 0.12079874287980298, 0.26399882036882144, 0.21104328779814144, 0.07099904203011344, 0.09302972975807886, 0.3384397234379624, 0.15833574264931183, 0.061319523972148696, -0.1575505769190689, -0.048531752188379566, -0.01632417441966633] |
711.1666 | Compression of the current sheet and its impact into the reconnection
rate | Numerical simulations of strongly compressible MHD corresponding to a stellar
atmosphere with substantial gravity and near force-free magnetic fields show
that the current sheet collapses (its width decreasing substantially). As a
result, the reconnection rate increases dramatically.
| astro-ph | numerical simulations of strongly compressible mhd corresponding to a stellar atmosphere with substantial gravity and near forcefree magnetic fields show that the current sheet collapses its width decreasing substantially as a result the reconnection rate increases dramatically | [['numerical', 'simulations', 'of', 'strongly', 'compressible', 'mhd', 'corresponding', 'to', 'a', 'stellar', 'atmosphere', 'with', 'substantial', 'gravity', 'and', 'near', 'forcefree', 'magnetic', 'fields', 'show', 'that', 'the', 'current', 'sheet', 'collapses', 'its', 'width', 'decreasing', 'substantially', 'as', 'a', 'result', 'the', 'reconnection', 'rate', 'increases', 'dramatically']] | [-0.16314021578511675, 0.20668836768301255, 0.04501239537588648, 0.06199539756100323, -0.048162399451374203, -0.08273881768203668, 0.013563931894463461, 0.29948316967567884, -0.2645467439213315, -0.3438781715451261, 0.06725862166668112, -0.206050968033614, -0.07258037117788115, 0.26208163782752847, 0.029537695283825334, 0.014855198412693131, 0.15429774544050767, -0.049304792468712944, -0.1093164432000973, -0.21064476172968344, 0.2495014347085679, 0.16398512001929655, 0.2437412326815664, 0.025282050055023784, 0.0026788121542415102, -0.14229722794275526, 0.01861892079280035, 0.12116221120782397, -0.19839759244732214, -0.04542196451409443, 0.12672859199999556, 0.0594525825534318, 0.26072296560616104, -0.48920541961450836, -0.2809803838010978, -0.05165166620517502, 0.2081149023630329, 0.10561970831524278, -0.059069248643149996, -0.22154792972110413, 0.054461550219236196, -0.19130339548998587, -0.16172024841747573, 0.007465190474397024, 0.001741993530477221, 0.03569576124081741, -0.29536089905210444, 0.10882780655614428, 0.1110153536696138, 0.03239781595766544, -0.13708276634192648, -0.06695871335781507, -0.16588701438662168, -0.000374737469403929, 0.15094154982550725, 0.1693469560579271, 0.23965034261345863, -0.24956564157194383, -0.060655187513377215, 0.33944176862368713, -0.11331317312008626, -0.1453300950595656, 0.26182293154399944, -0.28605388658674985, 0.00012250815603152119, 0.253865619869651, 0.1488411984330899, 0.06528380149472002, -0.0014981621171574334, 0.04976175543443124, -0.07988508926654184, 0.17460319291598894, 0.05600543023162597, -0.07412796431044871, 0.31007625749082984, 0.14385673091621012, 0.08574790062030425, 0.11090517873133256, -0.13572304527199752, -0.0863446011585561, -0.23919295660547307, -0.13830792812026432, -0.11436011914063145, 0.09544296624340318, -0.14103999669385156, -0.27015930006431566, 0.37314019664316567, 0.20837004711801135, 0.1438469075270601, 0.0647365745861788, 0.3290448762677811, 0.1909274133394246, 0.0279303779448005, 0.17253669469642477, 0.3136184212021731, 0.23605100450584213, 0.17950925207696855, -0.3230590693451263, 0.014820305995542455, 0.03083343688096549] |
711.1667 | Diophantine Approximation of non-algebraic points on varieties II:
Explicit estimates for arithmetic Hilbert Functions | Because of its ineffectiveness, the usual arithmetic Hilbert-Samuel formula
is not applicable in the context of Diophantine Approximation. In order to
overcome this difficulty, the present paper presents explicit estimates for
arithmetic Hilbert Functions of closed subvarieties in projective space.
| math.AG math.NT | because of its ineffectiveness the usual arithmetic hilbertsamuel formula is not applicable in the context of diophantine approximation in order to overcome this difficulty the present paper presents explicit estimates for arithmetic hilbert functions of closed subvarieties in projective space | [['because', 'of', 'its', 'ineffectiveness', 'the', 'usual', 'arithmetic', 'hilbertsamuel', 'formula', 'is', 'not', 'applicable', 'in', 'the', 'context', 'of', 'diophantine', 'approximation', 'in', 'order', 'to', 'overcome', 'this', 'difficulty', 'the', 'present', 'paper', 'presents', 'explicit', 'estimates', 'for', 'arithmetic', 'hilbert', 'functions', 'of', 'closed', 'subvarieties', 'in', 'projective', 'space']] | [-0.17955889427103103, -0.007389976223930716, -0.08426565449917689, 0.15917841121554374, -0.1151663581840694, -0.08519615562399849, 0.034821263534831816, 0.2763255559839308, -0.29539041514508424, -0.2069056282751262, 0.08680507319804746, -0.18078300236957148, -0.13991276597371324, 0.22686115041724406, -0.24774186057038605, 0.08052309939521365, 0.017905145300755976, 0.03904788512736559, -0.12637525189493318, -0.319277972728014, 0.4233688506297767, -0.04251687061041594, 0.22287533148773947, 0.0826250143814832, 0.11636665484402328, 0.012295884173363447, -0.018029194313567132, -0.05910141767308232, -0.13354905594605954, 0.20358576260041444, 0.3935071874409914, 0.09324385048821568, 0.2902657231781632, -0.43641375391744075, -0.14955483158119023, 0.20343535017454997, 0.22106708721257745, 0.04425837308517657, 0.008786144817713648, -0.18925381579902023, 0.04406697869999334, -0.14884247188456357, -0.21193344406783582, -0.13542386125773193, 0.019972562411567196, 0.024603272206149995, -0.22410118157276884, 0.03806762471795082, 0.12696500972379, 0.15340672342572362, -0.04744266709603835, -0.0844769093208015, 0.10661192022962496, 0.025081783114001156, 0.01735671662609093, 0.06646850944962353, 0.02992327339015901, -0.07979238733532838, -0.08000624945852905, 0.40969339886214584, -0.031029898569977378, -0.2884125244891038, 0.05580121392849833, -0.19663660356309265, -0.17649208772927522, 0.14679957646876574, 0.12156060425622854, 0.14645783910527826, -0.06224826667457819, 0.2223039441392757, -0.051281946850940584, 0.09282516855746507, 0.0951483226614073, 0.06129241064190864, 0.07112754262052476, 0.08287595231086016, 0.04423706674715504, 0.17334767202846707, 0.006752044986933469, -0.08917021977249533, -0.37617231756448744, -0.20002012510522035, -0.18599942959845067, 0.0819363463033369, -0.09095063431886956, -0.23585240566171706, 0.37592591791180896, 0.15333688901737333, 0.14187213401310145, 0.1440263625001535, 0.34564432231709363, 0.12219286764739082, 0.00022531315917149187, 0.025512484775390476, 0.15956133323488758, 0.18349144402891399, 0.023645892227068543, -0.13106207179953344, 0.11461554140551015, 0.23899117603432388] |
711.1668 | On Optimal 4-Dimensional Metrics | We completely determine, up to homeomorphism, which simply connected compact
oriented 4-manifolds admit scalar-flat, anti-self-dual Riemannian metrics. The
key new ingredient is a proof that the connected sum of five reverse-oriented
complex projective planes admits such metrics.
| math.DG math.CV | we completely determine up to homeomorphism which simply connected compact oriented 4manifolds admit scalarflat antiselfdual riemannian metrics the key new ingredient is a proof that the connected sum of five reverseoriented complex projective planes admits such metrics | [['we', 'completely', 'determine', 'up', 'to', 'homeomorphism', 'which', 'simply', 'connected', 'compact', 'oriented', '4manifolds', 'admit', 'scalarflat', 'antiselfdual', 'riemannian', 'metrics', 'the', 'key', 'new', 'ingredient', 'is', 'a', 'proof', 'that', 'the', 'connected', 'sum', 'of', 'five', 'reverseoriented', 'complex', 'projective', 'planes', 'admits', 'such', 'metrics']] | [-0.28115295251417494, 0.0737580256536603, -0.04483476255296005, 0.058309259633663006, -0.20898088093640077, -0.23084335025244704, -0.05876150199522575, 0.38601075061079526, -0.21654409490939644, -0.21809307051201662, 0.10195345087494287, -0.2687909143925127, -0.18497251874456802, 0.19594372316108397, -0.1809266194468364, -0.034976938222017556, 0.058487962899056986, 0.044480139286153846, -0.1046554299731118, -0.3166829614589612, 0.5499384101066325, -0.14803329731027284, 0.25560487454964054, 0.1592604177357215, 0.21908794758686176, -0.07018839909384648, -0.059410706533526536, 0.06516599179142052, -0.1807421695050127, 0.12290325740145312, 0.33748257007553345, 0.09936871296829647, 0.04278681996381945, -0.3423954209364537, -0.15127800855164728, 0.25129048122713965, 0.14769223342753118, -0.0768770070895294, -0.006203066661126084, -0.28634439206992585, 0.09222108225286421, -0.060523954634037286, -0.21243920169460276, -0.15666516766779953, -0.006550306234405273, -0.04029254040991267, -0.11850925630682872, -0.06282654799158788, 0.13723802825229037, 0.007810309710395005, -0.024116309598967847, -0.04879891580074198, -0.05791844131373283, 0.1468331407328757, -0.04144819813599396, 0.2062754267050574, 0.11315880589083666, 0.05309450220536544, -0.1633858796234967, 0.3562332766078826, -0.07458801329549816, -0.33618648381282884, 0.12425483944308427, -0.04061248696719607, -0.2069181327501105, 0.19735581399355498, 0.11688605582134591, 0.23333724086276358, -0.09355625184252858, 0.13849419673594335, -0.06971798405154711, 0.08375376823823899, 0.10319137001513606, -0.045632945257239044, 0.18169551393172392, 0.13575267659810683, 0.228753183528574, 0.07560751381485413, 0.08965919885991348, -0.058443127639798656, -0.37884606827153927, -0.2331985335590111, -0.1042484674964928, 0.28776291453848696, -0.22452741021859562, -0.27851651050150394, 0.4038224583491683, -0.10100966050393051, 0.13255576821716708, 0.11497053672469014, 0.26075690806222457, -0.05429681096251847, 0.13290037481217748, 0.1363395658037108, 0.16378745341595882, 0.24514004050029647, -0.11629409255045983, -0.026579239438029215, -0.08583070861641318, 0.20642268863351396] |
711.1669 | Applying Software Defect Estimations: Using a Risk Matrix for Tuning
Test Effort | Applying software defect esimation techniques and presenting this information
in a compact and impactful decision table can clearly illustrate to
collaborative groups how critical this position is in the overall development
cycle. The Test Risk Matrix described here has proven to be a valuable addition
to the management tools and approaches used in developing large scale software
on several releases. Use of this matrix in development planning meetings can
clarify the attendant risks and possible consequences of carrying out or
bypassing specific test activities.
| cs.SE cs.OH | applying software defect esimation techniques and presenting this information in a compact and impactful decision table can clearly illustrate to collaborative groups how critical this position is in the overall development cycle the test risk matrix described here has proven to be a valuable addition to the management tools and approaches used in developing large scale software on several releases use of this matrix in development planning meetings can clarify the attendant risks and possible consequences of carrying out or bypassing specific test activities | [['applying', 'software', 'defect', 'esimation', 'techniques', 'and', 'presenting', 'this', 'information', 'in', 'a', 'compact', 'and', 'impactful', 'decision', 'table', 'can', 'clearly', 'illustrate', 'to', 'collaborative', 'groups', 'how', 'critical', 'this', 'position', 'is', 'in', 'the', 'overall', 'development', 'cycle', 'the', 'test', 'risk', 'matrix', 'described', 'here', 'has', 'proven', 'to', 'be', 'a', 'valuable', 'addition', 'to', 'the', 'management', 'tools', 'and', 'approaches', 'used', 'in', 'developing', 'large', 'scale', 'software', 'on', 'several', 'releases', 'use', 'of', 'this', 'matrix', 'in', 'development', 'planning', 'meetings', 'can', 'clarify', 'the', 'attendant', 'risks', 'and', 'possible', 'consequences', 'of', 'carrying', 'out', 'or', 'bypassing', 'specific', 'test', 'activities']] | [-0.0802948295520282, 0.0719067363478019, -0.08993030195853796, 0.10094233316997717, -0.11525680536561343, -0.12154567222873938, 0.07963597450225827, 0.385305878178901, -0.24056814899331475, -0.3027769053826131, 0.1840267924042082, -0.2466593239882804, -0.1740495773307216, 0.21460812895962722, -0.13254929811368327, 0.05037797828126384, 0.08569411250639213, 0.0053449340321751965, -0.06925542337934947, -0.25214561324072887, 0.2920930962224143, 0.11890703043058874, 0.3134878704672208, 0.09485770030093031, 0.02954632040472275, 0.013928258909383812, -0.11516822695013988, 0.018776735105742532, -0.10048808838543763, 0.1612085753165365, 0.3833051080175911, 0.2212100180191358, 0.35109164835099715, -0.44372988766036836, -0.18592309697071113, 0.0793395362940269, 0.15668021522305278, 0.07369670987757573, -0.04072410927619785, -0.29181482113269436, 0.054888210220105316, -0.20498812347874942, -0.16797351997614984, -0.14035297077884112, -0.011469759821263423, -0.020336991551904434, -0.20865194932613745, -0.027120046418564147, 0.02578305177031511, 0.09442729718354811, -0.0017073269602449902, -0.1173779275829354, 0.019319049037813424, 0.20866935003790107, 0.07449076543926789, 0.007353698339661112, 0.18337485524096403, -0.11058741237081766, -0.1726049203145127, 0.37536175336958055, 0.011152316959215754, -0.1830665039414742, 0.1945399805056268, -0.07501373755330422, -0.19915905451200094, 0.07037650578352342, 0.20766981884119023, 0.053416731015565884, -0.20215110837605343, 0.030361634339798518, 0.0694112542522959, 0.1718499426903899, 0.035401059223439946, -0.035101502724216284, 0.21852559452674475, 0.22735403798217604, 0.05917986990120935, 0.12794517876484982, -0.03667392025993441, -0.0843085189054002, -0.25821026998112, -0.17357624576887093, -0.1352152071685631, 0.04272543748908014, -0.06163336213114279, -0.1345968068975686, 0.38354511087737886, 0.20296717879761442, 0.10664482742929494, -0.016704698654273188, 0.298562045242772, 0.0648180961984782, 0.10863661526909929, 0.08312149735795984, 0.1663189310908699, 0.06077009739062513, 0.12692501256803432, -0.1772903933691938, 0.10585937905686357, -0.00026547492492988884] |
711.167 | Length of parallel curves | We prove that the length difference between a closed periodic curve and its
parallel curve at a sufficiently small distance is proportional to the rotation
index. As an application, the rotation index of a curve could be estimated by
means of Cauchy-Crofton formula.
| math.DG | we prove that the length difference between a closed periodic curve and its parallel curve at a sufficiently small distance is proportional to the rotation index as an application the rotation index of a curve could be estimated by means of cauchycrofton formula | [['we', 'prove', 'that', 'the', 'length', 'difference', 'between', 'a', 'closed', 'periodic', 'curve', 'and', 'its', 'parallel', 'curve', 'at', 'a', 'sufficiently', 'small', 'distance', 'is', 'proportional', 'to', 'the', 'rotation', 'index', 'as', 'an', 'application', 'the', 'rotation', 'index', 'of', 'a', 'curve', 'could', 'be', 'estimated', 'by', 'means', 'of', 'cauchycrofton', 'formula']] | [-0.19778578030825375, 0.14017206826010384, -0.16420804818572346, 0.08367585478794523, -0.06357183114647172, -0.133991404804726, 0.058718029144328346, 0.38047893951798595, -0.3381620577948038, -0.27860132734789406, 0.12629224345911033, -0.2469553292057542, -0.12791084172204137, 0.29661727540714794, -0.11050639457480851, -0.01758896051716536, 0.024113736399665995, 0.07901458072930921, -0.0848198137949979, -0.1912433428711496, 0.2551520924235499, 0.0033889711336341014, 0.24477910552022242, 0.048525333404541016, 0.10860856222855143, 0.0052173736201989096, 0.027264860068816087, 0.05974953405039255, -0.15297809278482144, 0.13372470529446767, 0.1720364357691345, 0.08585657163653089, 0.177649557113994, -0.3131603298838748, -0.17534048884543915, 0.13509515005835268, 0.11430219214864422, 0.031662895560784395, -0.022906665175849963, -0.16569892065816147, 0.1354264937947656, -0.1525131740369076, -0.2601271055877035, 0.01758539351786292, 0.15274140585300533, 0.030005288851815602, -0.2529405487571345, 0.03813035339983397, 0.03222717290614233, 0.13922370210030052, -0.03273003154466752, -0.024855191732735135, -0.02972036854602223, 0.1077141898337665, 0.07814446513454408, 0.0934992635211106, 0.07314811357795152, -0.04185293259662251, -0.05120756688289518, 0.341812081461729, -0.16418580024308244, -0.18264275771933933, 0.07017375130292981, -0.09684206760856648, 0.0011510140760693439, 0.14944083269598873, 0.14357002124970042, 0.11991039191394351, -0.08123335690605779, 0.08498279845509894, -0.03474197157680295, 0.21857702792730443, 0.10333360761923846, -0.052250635582780425, 0.2397434615345975, 0.06427602228427003, 0.08585329098237116, 0.16462116339514682, -0.14661837083309195, -0.04525928866378097, -0.33399823671856593, -0.18713000143856504, -0.2023640729833481, 0.08635757267908302, -0.18762337242836555, -0.1670517584872107, 0.35191063751834767, -0.013592895640190257, 0.2460113037377596, 0.0701791195112259, 0.2937958047638626, 0.18585573992053003, 0.07270235337620211, 0.11270760663590113, 0.1800353878426777, 0.17186383475538689, 0.006083945353883643, -0.24103407830346463, 0.09422350293675134, 0.09135444904136103] |
711.1671 | Wavelet-Based Quantum Field Theory | The Euclidean quantum field theory for the fields $\phi_{\Delta x}(x)$, which
depend on both the position $x$ and the resolution $\Delta x$, constructed in
SIGMA 2 (2006), 046, hep-th/0604170, on the base of the continuous wavelet
transform, is considered. The Feynman diagrams in such a theory become finite
under the assumption there should be no scales in internal lines smaller than
the minimal of scales of external lines. This regularisation agrees with the
existing calculations of radiative corrections to the electron magnetic moment.
The transition from the newly constructed theory to a standard Euclidean field
theory is achieved by integration over the scale arguments.
| hep-th | the euclidean quantum field theory for the fields phi_delta xx which depend on both the position x and the resolution delta x constructed in sigma 2 2006 046 hepth0604170 on the base of the continuous wavelet transform is considered the feynman diagrams in such a theory become finite under the assumption there should be no scales in internal lines smaller than the minimal of scales of external lines this regularisation agrees with the existing calculations of radiative corrections to the electron magnetic moment the transition from the newly constructed theory to a standard euclidean field theory is achieved by integration over the scale arguments | [['the', 'euclidean', 'quantum', 'field', 'theory', 'for', 'the', 'fields', 'phi_delta', 'xx', 'which', 'depend', 'on', 'both', 'the', 'position', 'x', 'and', 'the', 'resolution', 'delta', 'x', 'constructed', 'in', 'sigma', '2', '2006', '046', 'hepth0604170', 'on', 'the', 'base', 'of', 'the', 'continuous', 'wavelet', 'transform', 'is', 'considered', 'the', 'feynman', 'diagrams', 'in', 'such', 'a', 'theory', 'become', 'finite', 'under', 'the', 'assumption', 'there', 'should', 'be', 'no', 'scales', 'in', 'internal', 'lines', 'smaller', 'than', 'the', 'minimal', 'of', 'scales', 'of', 'external', 'lines', 'this', 'regularisation', 'agrees', 'with', 'the', 'existing', 'calculations', 'of', 'radiative', 'corrections', 'to', 'the', 'electron', 'magnetic', 'moment', 'the', 'transition', 'from', 'the', 'newly', 'constructed', 'theory', 'to', 'a', 'standard', 'euclidean', 'field', 'theory', 'is', 'achieved', 'by', 'integration', 'over', 'the', 'scale', 'arguments']] | [-0.12929761710857013, 0.15644505671994055, -0.07766717352714499, 0.10050643320100436, -0.026718787125592093, -0.0853938360730168, 0.025962327245862487, 0.35562703496713227, -0.25059889157153487, -0.26737546064502116, 0.07552392391411099, -0.27340218433386926, -0.07750850518966473, 0.1970071458479263, -0.010451492243129941, 0.004850908390526633, -0.008092158761110555, 0.07691231366355443, -0.12330537058810875, -0.21807117834325554, 0.3022922978881132, 0.04465204633397132, 0.26678452317069457, 0.021519571567040152, 0.08948951918921134, 0.01487642409420093, -0.04274113643100684, 0.04435383799729995, -0.1344910389020388, 0.10866214774404336, 0.19083992200135028, 0.050464864151136386, 0.21127252960668028, -0.4143088879515824, -0.24702460332253712, 0.0644927187031587, 0.10341702563489236, 0.06440939576912093, 0.01816804258342724, -0.2649678222075539, 0.07995882734330823, -0.11026338882997487, -0.13239990639979543, -0.021292523010769514, 0.024277359412223535, -0.02387240322903522, -0.2669529458959994, 0.048525128169979864, 0.03141037197173257, 0.11393592730598259, -0.04459195284487101, -0.12408495810814202, -0.039524632610055135, 0.08771311053192442, 0.052107505396334006, 0.12833358261969338, 0.12310712146617979, -0.1208436118949711, -0.10799382964727804, 0.37538012500526835, -0.09362439311505634, -0.2108448579979753, 0.13213755287121512, -0.18168425881891576, -0.11286646661628942, 0.16084749009844496, 0.09010003763929154, 0.1351843660118655, -0.08208232118919925, 0.19386180937776198, -0.014554444519640173, 0.17824274326846437, 0.06251233570205356, 0.020174096644747532, 0.17752968451207124, 0.10498387577211105, 0.031507718992799305, 0.06002380800189324, -0.10705227011507287, -0.1392040863018302, -0.3422608825115903, -0.12094037481176767, -0.18575480208252965, 0.09651686903541383, -0.12887918586078104, -0.1942963372391549, 0.3386173277451358, 0.12301475782562228, 0.18615657681665945, 0.024941683751960438, 0.267794830168516, 0.15218173878864177, 0.11785158777193537, 0.06057059432117684, 0.2371781085961435, 0.17502311155317551, 0.07369678681693718, -0.21008904914493737, -0.011755282893433298, 0.09674800525518876] |
711.1672 | Physics of Atmospheric Electric Discharges in Gases: An Informal
Introduction | A short account of the physics of electrical discharges in gases is given in
view of its historical evolution and application to planetary atmospheres. As
such it serves as an introduction to the articles on particular aspects of
electric discharges contained in this book, in particular in the chapters on
lightning and the violent discharges which in the recent two decades have been
observed to take place in Earth's upper atmosphere. In addition of briefly
reviewing the early history of gas discharge physics we discuss the main
parameters affecting violent atmospheric discharges like collision frequency,
mean free path and critical electric field strength. Any discharge current in
the atmosphere is clearly carried only by electrons. Above the lower bound of
the mesosphere the electrons must be considered magnetized with the
conductivity becoming a tensor. Moreover, the collisional mean free path in the
upper atmosphere becomes relatively large which lowers the critical electric
field there and more easily enables discharges than at lower altitudes. Finally
we briefly mention the relation of such discharges as sources for wave
emission.
| physics.space-ph physics.geo-ph | a short account of the physics of electrical discharges in gases is given in view of its historical evolution and application to planetary atmospheres as such it serves as an introduction to the articles on particular aspects of electric discharges contained in this book in particular in the chapters on lightning and the violent discharges which in the recent two decades have been observed to take place in earths upper atmosphere in addition of briefly reviewing the early history of gas discharge physics we discuss the main parameters affecting violent atmospheric discharges like collision frequency mean free path and critical electric field strength any discharge current in the atmosphere is clearly carried only by electrons above the lower bound of the mesosphere the electrons must be considered magnetized with the conductivity becoming a tensor moreover the collisional mean free path in the upper atmosphere becomes relatively large which lowers the critical electric field there and more easily enables discharges than at lower altitudes finally we briefly mention the relation of such discharges as sources for wave emission | [['a', 'short', 'account', 'of', 'the', 'physics', 'of', 'electrical', 'discharges', 'in', 'gases', 'is', 'given', 'in', 'view', 'of', 'its', 'historical', 'evolution', 'and', 'application', 'to', 'planetary', 'atmospheres', 'as', 'such', 'it', 'serves', 'as', 'an', 'introduction', 'to', 'the', 'articles', 'on', 'particular', 'aspects', 'of', 'electric', 'discharges', 'contained', 'in', 'this', 'book', 'in', 'particular', 'in', 'the', 'chapters', 'on', 'lightning', 'and', 'the', 'violent', 'discharges', 'which', 'in', 'the', 'recent', 'two', 'decades', 'have', 'been', 'observed', 'to', 'take', 'place', 'in', 'earths', 'upper', 'atmosphere', 'in', 'addition', 'of', 'briefly', 'reviewing', 'the', 'early', 'history', 'of', 'gas', 'discharge', 'physics', 'we', 'discuss', 'the', 'main', 'parameters', 'affecting', 'violent', 'atmospheric', 'discharges', 'like', 'collision', 'frequency', 'mean', 'free', 'path', 'and', 'critical', 'electric', 'field', 'strength', 'any', 'discharge', 'current', 'in', 'the', 'atmosphere', 'is', 'clearly', 'carried', 'only', 'by', 'electrons', 'above', 'the', 'lower', 'bound', 'of', 'the', 'mesosphere', 'the', 'electrons', 'must', 'be', 'considered', 'magnetized', 'with', 'the', 'conductivity', 'becoming', 'a', 'tensor', 'moreover', 'the', 'collisional', 'mean', 'free', 'path', 'in', 'the', 'upper', 'atmosphere', 'becomes', 'relatively', 'large', 'which', 'lowers', 'the', 'critical', 'electric', 'field', 'there', 'and', 'more', 'easily', 'enables', 'discharges', 'than', 'at', 'lower', 'altitudes', 'finally', 'we', 'briefly', 'mention', 'the', 'relation', 'of', 'such', 'discharges', 'as', 'sources', 'for', 'wave', 'emission']] | [-0.0996629469419598, 0.2199908821629972, -0.02184162601975903, 0.08404993546119033, -0.024541797274250095, -0.06616265689927853, 0.015600585741764409, 0.3440702729200744, -0.19321873051898375, -0.3185115138773864, 0.10419009651825632, -0.27357849155521113, -0.09465613790740401, 0.23711902355659478, -0.04408687419037066, -0.021680216887363334, 0.034878150499452136, 0.03346962480947881, -0.016233673198201227, -0.21799356260699992, 0.2661862910993524, 0.11410262162591946, 0.22214808011569587, 0.1314353535259616, 0.05199021607741653, -0.05006389491165341, -0.0203059119630163, 0.005602113760502661, -0.1321444871051416, 0.03940651598938946, 0.23789268887817522, 0.09110512736905893, 0.24319020923395446, -0.5155580916078919, -0.25943006066694896, 0.0622003134155888, 0.13943277590245134, 0.06852977880076795, -0.05532562873488368, -0.21691692719962133, 0.004771993135096832, -0.18845462113997694, -0.12601735201101266, 0.01880024295921127, 0.065114269284321, 0.047085836043023625, -0.22164009548565847, 0.05920307971977781, 0.07171455501874062, 0.107885435360055, -0.10822044562572734, -0.14247481098614295, -0.0015007081957228777, 0.1171200359029706, 0.09355135456958817, 0.029671429340743412, 0.20263035311416255, -0.15700205502173953, -0.050677851184487005, 0.399646820447876, -0.09048867742947006, -0.09014347048823611, 0.2166507379493892, -0.2211035067704901, -0.10096224203132262, 0.14818572666033009, 0.1653044946441732, 0.06560436824184059, -0.1614712234711443, 0.04935184136851254, -0.0010395639464699817, 0.09852530306868129, 0.1110763015149235, 0.017037163898980214, 0.28270443008351337, 0.18685377193193903, 0.0586422126527118, 0.13275139725117255, -0.12045544369072564, -0.054688440246433864, -0.2915284809061868, -0.15519168569297281, -0.13081381954568422, 0.05249410667507659, -0.024741866475557855, -0.1904433260505393, 0.4157166551130345, 0.20242246494123364, 0.12794073206000292, -0.045820648445205836, 0.3385125734017225, 0.13850136423591355, 0.03074079479888676, 0.11263517482537713, 0.2635997178106658, 0.15667790625938924, 0.15951897038178423, -0.17667246612293994, 0.07493539654194656, 0.024980188621008127] |
711.1673 | Universal relaxation times for electron and nucleon gases | In this paper we calculate the universal relaxation times for electron and
nucleon fermionic gases. We argue that the universal relaxation time tau(i) is
equal tau(i)=h/m square v(i) where v(i)=alpha(i)c and alpha(1)=0.15 for nucleon
gas and alpha(2)=1/137 for electron gas, c=light velocity. With the universal
relaxation time we formulate the thermal Proca equation for fermionic gases.
Key words: universal relaxation time, thermal universal Proca equation.
| physics.gen-ph | in this paper we calculate the universal relaxation times for electron and nucleon fermionic gases we argue that the universal relaxation time taui is equal tauihm square vi where vialphaic and alpha1015 for nucleon gas and alpha21137 for electron gas clight velocity with the universal relaxation time we formulate the thermal proca equation for fermionic gases key words universal relaxation time thermal universal proca equation | [['in', 'this', 'paper', 'we', 'calculate', 'the', 'universal', 'relaxation', 'times', 'for', 'electron', 'and', 'nucleon', 'fermionic', 'gases', 'we', 'argue', 'that', 'the', 'universal', 'relaxation', 'time', 'taui', 'is', 'equal', 'tauihm', 'square', 'vi', 'where', 'vialphaic', 'and', 'alpha1015', 'for', 'nucleon', 'gas', 'and', 'alpha21137', 'for', 'electron', 'gas', 'clight', 'velocity', 'with', 'the', 'universal', 'relaxation', 'time', 'we', 'formulate', 'the', 'thermal', 'proca', 'equation', 'for', 'fermionic', 'gases', 'key', 'words', 'universal', 'relaxation', 'time', 'thermal', 'universal', 'proca', 'equation']] | [-0.09323085947156264, 0.25847346666269005, -0.08249423826734224, 0.10076815346255899, -0.02205152187962085, -0.17801986581956347, 0.006543340889038518, 0.2864829619725545, -0.2609676801910003, -0.18043888930696994, -0.016023555430971708, -0.2440253458917141, -0.07136326959977547, 0.15992236401361878, 0.06639251542898515, 0.09569770175342758, -0.05155801842920482, 0.02386789449180166, -0.13310335552863156, -0.2549550250793497, 0.3349742899027964, 0.01196777814378341, 0.2195967071224004, 0.11885961673300093, 0.17196608882707853, 0.03451994063022236, 0.04468434921000153, -0.04030708695451419, -0.2083788860944575, 0.016696173558011652, 0.23320957430017492, -0.014475271354118984, 0.16583938160911202, -0.46465833655868966, -0.19355163346044718, 0.08008335577324033, 0.19636420016176998, 0.14445785800926386, -0.016886885347776114, -0.1872656168260922, -0.04334993061299126, -0.21013092181334894, -0.16660457726878425, -0.1265083868832638, 0.11653388012200594, -0.00370337402758499, -0.22010347684457277, 0.23718133639583053, 0.061974845454096796, -0.009870666762193043, -0.139278743530546, -0.11773350547688703, 0.09236043931062644, -0.01037950161844492, 0.03596037528089558, 0.051823775315036374, 0.20516156603116542, -0.12353383724500115, -0.08060921601330241, 0.40790547368427116, -0.13087560295437772, -0.14182754799257963, 0.16495630676702908, -0.17774439126563568, -0.10815875516273081, 0.11857089408052464, 0.13625445243669673, 0.07731745649750034, -0.2020893029247721, 0.09720546860868733, -0.1182078603344659, 0.1863159961455191, 0.06766980731238921, 0.09787575764736782, 0.23312544208019972, 0.14018478781605762, 0.01883175972228249, 0.09205381227657199, -0.10313249242802461, -0.12236587069928646, -0.288042417075485, -0.24576264501083642, -0.1976776674389839, 0.11849204245954752, -0.07647235274707782, -0.11922288524607817, 0.37505096482733885, 0.11165322169351082, 0.1335723382110397, 0.10496124344257017, 0.3021158580901101, 0.23117513712786603, 0.02534043456738194, 0.16296124348882585, 0.15695041778186958, 0.16020551963398855, 0.11965402448549867, -0.38055984136493254, -0.03510189958227177, 0.13139557076307634] |
711.1674 | Kicked rotor quantum resonances in position space | We present an approach of the kicked rotor quantum resonances in
position-space, based on its analogy with the optical Talbot effect. This
approach leads to a very simple picture of the physical mechanism underlying
the dynamics and to analytical expressions for relevant physical quantities,
such as mean momentum or kinetic energy. The ballistic behavior, which is
closely associated to quantum resonances, is analyzed and shown to emerge from
a coherent adding of successive kicks applied to the rotor thanks to a periodic
reconstruction of the spatial wavepacket.
| quant-ph nlin.CD physics.atom-ph physics.optics | we present an approach of the kicked rotor quantum resonances in positionspace based on its analogy with the optical talbot effect this approach leads to a very simple picture of the physical mechanism underlying the dynamics and to analytical expressions for relevant physical quantities such as mean momentum or kinetic energy the ballistic behavior which is closely associated to quantum resonances is analyzed and shown to emerge from a coherent adding of successive kicks applied to the rotor thanks to a periodic reconstruction of the spatial wavepacket | [['we', 'present', 'an', 'approach', 'of', 'the', 'kicked', 'rotor', 'quantum', 'resonances', 'in', 'positionspace', 'based', 'on', 'its', 'analogy', 'with', 'the', 'optical', 'talbot', 'effect', 'this', 'approach', 'leads', 'to', 'a', 'very', 'simple', 'picture', 'of', 'the', 'physical', 'mechanism', 'underlying', 'the', 'dynamics', 'and', 'to', 'analytical', 'expressions', 'for', 'relevant', 'physical', 'quantities', 'such', 'as', 'mean', 'momentum', 'or', 'kinetic', 'energy', 'the', 'ballistic', 'behavior', 'which', 'is', 'closely', 'associated', 'to', 'quantum', 'resonances', 'is', 'analyzed', 'and', 'shown', 'to', 'emerge', 'from', 'a', 'coherent', 'adding', 'of', 'successive', 'kicks', 'applied', 'to', 'the', 'rotor', 'thanks', 'to', 'a', 'periodic', 'reconstruction', 'of', 'the', 'spatial', 'wavepacket']] | [-0.13550912233299695, 0.14886351326502587, -0.15269808821904007, 0.08853634170272612, -0.06758082810061417, -0.13580671841300082, 0.03520742021420778, 0.3543881319634531, -0.27373062635118933, -0.27124915055759335, 0.017757889963204748, -0.2313050997454202, -0.18219459823322023, 0.20899938405009694, -0.025217329157280855, 0.08362165758461189, 0.02802201219293792, 0.057358855617114866, -0.039959245339978015, -0.13119490780792703, 0.2837839052081108, 0.08956969475598428, 0.2542289425378087, 0.05656291981998446, 0.14601973446364375, 0.012657641312749735, 0.025282270408867078, -0.005017159313991152, -0.12816047130002714, 0.10503838187747302, 0.16012980598132073, 0.01995552900573774, 0.217535058453936, -0.4387373912694125, -0.20823947072628585, 0.025615067809991454, 0.16668336962693606, 0.19459323929060765, -0.03993765031517451, -0.298444753448511, 0.00587188427861052, -0.1643554043431563, -0.18724468727221436, -0.07685076524557054, 0.01402800041518506, 0.019464289435003508, -0.2583783809630864, 0.09355820843885684, 0.06344762264654555, 0.03208251710413773, -0.04012792588388226, -0.04256445141080981, -0.00765277009361006, 0.11611651011806881, 0.027230668829047476, 0.01278550941604136, 0.13711823367824158, -0.10390120010084376, -0.1515339083605628, 0.4267402346534976, -0.03247742116151527, -0.22676625970387082, 0.20944058272356017, -0.15238167098241634, -0.03725210968512057, 0.14950564502599253, 0.17080683766425342, 0.08315275114928854, -0.15318761123130206, 0.01600791713966849, 0.010934995492684773, 0.12226584096754976, 0.051183097300001944, 0.0951848560301908, 0.22369703473844404, 0.15424801650103823, 0.009205688743841374, 0.15812753215191308, -0.11468309556714784, -0.19185760459894763, -0.2848226299145441, -0.09146442304996924, -0.20193393801435314, 0.1082302146302215, -0.0424943451295291, -0.18209097859946122, 0.42873615103548973, 0.15617610726655387, 0.22375890719650807, 0.0006051849073398558, 0.3072369367087624, 0.16908318513399526, 0.05776128914721053, 0.021660152719698674, 0.24420469855065405, 0.19512187302829806, 0.10886358325744326, -0.2920032119212522, 0.001344290765366335, 0.05745300356213046] |
711.1675 | Darboux transformation of boundary conditions of regular Dirac
Sturm--Liouville problem | It is shown that boundary conditions of the Darboux transformed Dirac
Sturm--Liouville problem are always zero-valued independently on boundary
conditions of initial problem.
| hep-th | it is shown that boundary conditions of the darboux transformed dirac sturmliouville problem are always zerovalued independently on boundary conditions of initial problem | [['it', 'is', 'shown', 'that', 'boundary', 'conditions', 'of', 'the', 'darboux', 'transformed', 'dirac', 'sturmliouville', 'problem', 'are', 'always', 'zerovalued', 'independently', 'on', 'boundary', 'conditions', 'of', 'initial', 'problem']] | [-0.1821152613974055, 0.1069233117868071, -0.11829517409205437, 0.04663627451467935, -0.12697577037160163, -0.2322497644826122, -0.06571541005826514, 0.3998880528885385, -0.32816956953509996, -0.20468182958986447, 0.20653356137968923, -0.2456449654115283, -0.19050103992871617, 0.15629043179037777, -0.10431595130459122, 0.19907372116880573, 0.20579399569364992, 0.08682102126919705, -0.11922808840830365, -0.2997468292065289, 0.44851233583429584, -0.06997233078531596, 0.2684883021790048, 0.04994562910059872, 0.08051085180562476, -0.055058139983726585, 0.0695931908229123, -0.01434551219901313, -0.12212326303889985, -0.03622964689629558, 0.21831024891656378, 0.07730578872091744, 0.2590127302252728, -0.43149754267347895, -0.21640384796520937, 0.0924345767935333, 0.13444712480692111, 0.039015962357592325, -0.003191662304427313, -0.33810002899364283, 0.08180602890965731, 0.030383925075116364, -0.18492986719407464, 0.06506566104033719, 0.0004409998655319214, -0.05837673796644515, -0.33344950640331145, 0.0557787222382815, 0.032962600984003235, -0.04401098442790301, -0.23885466281891518, -0.12162173308594071, -0.12078133403607037, 0.04601068341213724, 0.03427860573055628, -0.030529559286230284, 0.032836967431332756, -0.05181187249558127, 0.02883652557173501, 0.37876825933547126, 0.062323220195653645, -0.3679240835101708, 0.13769147642280744, -0.08380542472814737, -0.09793718707869234, 0.12554303386613078, 0.056416277814170586, 0.17941358523524326, -0.23161279669274454, 0.15191036040746636, -0.10837907942376383, 0.07273162933795349, 0.23401008163700285, -0.07887526571183749, 0.16557774638109232, 0.04145178069239077, 0.22727768532121959, 0.14481502172091734, 0.06755636534248681, -0.08990993716187128, -0.3319685970959456, -0.0866432273760438, -0.2583145392734719, 0.03981387813616058, -0.09805923639594213, -0.23740075820545747, 0.3674264556687811, 0.1593369941186646, 0.1455217257708959, -0.010309752562771673, 0.16723846838526105, 0.2628655322300999, -0.003909404187098793, 0.029164733425916536, 0.17702784360912832, 0.15746042391528253, 0.1274168502903827, -0.27043335660077306, 0.007079224183183649, 0.2176749017899451] |
711.1676 | Gibbsian theory of power law distributions | It is shown that power law phase space distributions describe marginally
stable Gibbsian equilibria far from thermal equilibrium which are expected to
occur in collisionless plasmas containing fully developed quasi-stationary
turbulence. Gibbsian theory is extended on the fundamental level to
statistically dependent subsystems introducing an `ordering parameter'
$\kappa$. Particular forms for the entropy and partition functions are derived
with super-additive (non-extensive) entropy, and a redefinition of temperature
in such systems is given.
| physics.plasm-ph | it is shown that power law phase space distributions describe marginally stable gibbsian equilibria far from thermal equilibrium which are expected to occur in collisionless plasmas containing fully developed quasistationary turbulence gibbsian theory is extended on the fundamental level to statistically dependent subsystems introducing an ordering parameter kappa particular forms for the entropy and partition functions are derived with superadditive nonextensive entropy and a redefinition of temperature in such systems is given | [['it', 'is', 'shown', 'that', 'power', 'law', 'phase', 'space', 'distributions', 'describe', 'marginally', 'stable', 'gibbsian', 'equilibria', 'far', 'from', 'thermal', 'equilibrium', 'which', 'are', 'expected', 'to', 'occur', 'in', 'collisionless', 'plasmas', 'containing', 'fully', 'developed', 'quasistationary', 'turbulence', 'gibbsian', 'theory', 'is', 'extended', 'on', 'the', 'fundamental', 'level', 'to', 'statistically', 'dependent', 'subsystems', 'introducing', 'an', 'ordering', 'parameter', 'kappa', 'particular', 'forms', 'for', 'the', 'entropy', 'and', 'partition', 'functions', 'are', 'derived', 'with', 'superadditive', 'nonextensive', 'entropy', 'and', 'a', 'redefinition', 'of', 'temperature', 'in', 'such', 'systems', 'is', 'given']] | [-0.12694198583711921, 0.25275606593337824, -0.1269298938439331, 0.10423898317741179, -0.0008155388738183925, -0.1616565427975729, 0.012050608850485232, 0.31131706377750057, -0.28511000114182633, -0.2347668356055187, 0.026027784922108468, -0.28109904357956517, -0.08346768619958311, 0.156084623595234, -0.022181830161975488, 0.09134872818443303, -0.005574584120444747, 0.03752171650477168, -0.024096454011871375, -0.20431557771128914, 0.3424747158294647, 0.0842528414990132, 0.29328463181284153, 0.0005624654069025484, 0.08698369604018, -0.0630416651450408, 0.031712200900074095, 0.1111917207078174, -0.19204513457356776, 0.026265547901857644, 0.2760154809156019, 0.10798772266005269, 0.1971651929222086, -0.36672030159065294, -0.2775422522067351, 0.1161376846074644, 0.10925407099744512, 0.051377295779982686, -0.004325573263081929, -0.2151486336434674, 0.030904782043459516, -0.1943704613206339, -0.13834968919400126, -0.14452868595253676, 0.060791166547763474, 0.012071752018528059, -0.28986412519589067, 0.12442392439051117, 0.08590145748975272, 0.05766738068390017, -0.09573270645665212, -0.0915925313020125, -0.07774402225428882, 0.04966301926874116, 0.01615169144093266, 0.010063224810437532, 0.17477150497466531, -0.10261355037800968, -0.059669181219457336, 0.36807611231536913, -0.02103785302541736, -0.238411544666936, 0.19383171021925388, -0.18622678604960027, -0.14870204344495302, 0.1377482608400492, 0.09499791047225396, 0.10395308693488106, -0.1488794864465793, 0.10250150209079341, -0.017078192833448864, 0.17967165755302025, 0.047367665654746816, 0.03479738764387245, 0.24336047511961725, 0.10713042780278353, 0.07799709249391323, 0.1653904779555483, -0.007311849256641128, -0.22276466517036575, -0.32029351236350423, -0.11019878106728559, -0.1799888441487888, 0.06813482898804876, -0.0678146933007358, -0.2367357897532606, 0.3104775009560399, 0.11171137960951051, 0.14011491200007084, 0.042976516061268434, 0.25043436685033765, 0.22487340786675405, -0.027258541706639033, 0.12901866013675722, 0.24029460795766985, 0.18241774338659728, 0.07208282993977061, -0.16145157401721613, 0.06746660614670771, 0.07694827995470001] |
711.1677 | Testing the general relativistic ''no-hair'' theorems using the galactic
center black hole SgrA* | If a class of stars orbits the central black hole in our galaxy in short
period (~ 0.1 year), high eccentricity (~ 0.9) orbits, they will experience
precessions of their orbital planes induced by both relativistic frame-dragging
and the quadrupolar gravity of the hole, at levels that could be as large as 10
microarcseconds per year, if the black hole is rotating faster than 1/2 of its
maximum rotation rate. Astrometric observations of the orbits of at least two
such stars can in principle lead to a determination of the angular momentum
vector J of the black hole and its quadrupole moment Q_2. This could lead to a
test of the general relativistic no-hair theorems, which demand that Q_2 = -
J^2/M. Future high-precision adaptive infrared optics instruments make make
such a fundamental test of the black-hole paradigm possible.
| astro-ph gr-qc | if a class of stars orbits the central black hole in our galaxy in short period 01 year high eccentricity 09 orbits they will experience precessions of their orbital planes induced by both relativistic framedragging and the quadrupolar gravity of the hole at levels that could be as large as 10 microarcseconds per year if the black hole is rotating faster than 12 of its maximum rotation rate astrometric observations of the orbits of at least two such stars can in principle lead to a determination of the angular momentum vector j of the black hole and its quadrupole moment q_2 this could lead to a test of the general relativistic nohair theorems which demand that q_2 j2m future highprecision adaptive infrared optics instruments make make such a fundamental test of the blackhole paradigm possible | [['if', 'a', 'class', 'of', 'stars', 'orbits', 'the', 'central', 'black', 'hole', 'in', 'our', 'galaxy', 'in', 'short', 'period', '01', 'year', 'high', 'eccentricity', '09', 'orbits', 'they', 'will', 'experience', 'precessions', 'of', 'their', 'orbital', 'planes', 'induced', 'by', 'both', 'relativistic', 'framedragging', 'and', 'the', 'quadrupolar', 'gravity', 'of', 'the', 'hole', 'at', 'levels', 'that', 'could', 'be', 'as', 'large', 'as', '10', 'microarcseconds', 'per', 'year', 'if', 'the', 'black', 'hole', 'is', 'rotating', 'faster', 'than', '12', 'of', 'its', 'maximum', 'rotation', 'rate', 'astrometric', 'observations', 'of', 'the', 'orbits', 'of', 'at', 'least', 'two', 'such', 'stars', 'can', 'in', 'principle', 'lead', 'to', 'a', 'determination', 'of', 'the', 'angular', 'momentum', 'vector', 'j', 'of', 'the', 'black', 'hole', 'and', 'its', 'quadrupole', 'moment', 'q_2', 'this', 'could', 'lead', 'to', 'a', 'test', 'of', 'the', 'general', 'relativistic', 'nohair', 'theorems', 'which', 'demand', 'that', 'q_2', 'j2m', 'future', 'highprecision', 'adaptive', 'infrared', 'optics', 'instruments', 'make', 'make', 'such', 'a', 'fundamental', 'test', 'of', 'the', 'blackhole', 'paradigm', 'possible']] | [-0.18779690207361624, 0.16321470500142485, -0.07325914977118372, 0.10264875511121418, -0.09897839275913106, -0.12092573233638648, 0.027375537145417184, 0.3141090586367581, -0.19650463772316773, -0.34183954078773104, 0.08936003018256829, -0.2886545674668418, -0.003933713357481692, 0.24997069854116827, -0.07445059718771113, 0.027445553093976168, 0.08576478421498367, 0.03914258257848107, -0.10732936123860311, -0.2417492156986285, 0.26250853135629937, 0.11812868345942762, 0.1324565128899714, -0.0321851665602514, 0.09313899199823263, 0.0040280440451439335, 0.01740232751148546, 0.004033660902469247, -0.1399335872109212, 0.07588140336037785, 0.22731222527239608, 0.1300853661744407, 0.25994475762170083, -0.3675937302151902, -0.1511343689152488, 0.05266729854047299, 0.13256051337812097, 0.11955498877343618, -0.05566350839066285, -0.23262578246908056, 0.07131720125390631, -0.2599684798296679, -0.21357107388407545, -0.04233373464257629, 0.10761385966368296, 0.030861809001200727, -0.2347053032454655, 0.12901037449396593, 0.11936609269016318, 0.012729773387588836, -0.09058436682206338, -0.1040437916285117, -0.08532406360221406, 0.07791061494499445, 0.12267369485494715, 0.09814582732678563, 0.1524372138393422, -0.06755982057743326, -0.1280719594616029, 0.4116110680762816, -0.05337602227669709, -0.11602978367116992, 0.15891631865804945, -0.31370211066678166, -0.12062226561484514, 0.11032782160952963, 0.1967651257332397, 0.18743987385554378, -0.13373686305626675, 0.025509004832107437, 0.044394710625487346, 0.18274355399663803, 0.1289680546852415, 0.0828456814613202, 0.430070067052212, 0.09031502357856543, 0.06257311639341491, 0.032422714472610366, -0.19806831895753188, -0.023359221542961207, -0.2519288690553771, -0.11793729185851085, -0.14791981893833037, 0.10944872687018856, -0.17313395227387512, -0.10504128198070382, 0.3313542202115059, 0.12191160406434426, 0.1552628534535567, -0.010831686306779307, 0.26769001649830626, 0.06427281917917922, 0.06585182644291004, 0.08315174758166971, 0.3764019191265106, 0.12975253233237674, 0.101320838574665, -0.23576053350956905, -0.017500851558590377, 0.050728891620895375] |
711.1678 | Mars Express/ASPERA-3/NPI and IMAGE/LENA observations of energetic
neutral atoms in Earth and Mars orbit | The low energy neutral atom imagers on Mars Express and IMAGE have revealed
that the neutral atom populations in interplanetary space come from a variety
of sources and challenge our current understanding of heliospheric physics. For
example, both in cruise phase and at Mars, the neutral particle instrument NPD
on Mars Express observed "unexplained neutral beams" unrelated to Mars which
appear to be either of heliospheric or solar wind origin. Likewise, the NPI
instrument on Mars Express has revealed streams of neutral atoms with different
properties than those observed by NPD. Independently, IMAGE/LENA has reported
neutral atom observations that may be interpreted as a "secondary stream"
having different characteristics and flowing from a higher ecliptic longitude
than the nominal upstream direction. Both sets of observations do not appear to
fit in easily with the neutral atom environment from 1.0-1.57 AU as it is
currently understood. In this paper we examine some highly suggestive
similarities in the IMAGE/LENA and Mars Express/ASPERA-3/NPI data to try to
determine potential origins for the observed signal.
| astro-ph | the low energy neutral atom imagers on mars express and image have revealed that the neutral atom populations in interplanetary space come from a variety of sources and challenge our current understanding of heliospheric physics for example both in cruise phase and at mars the neutral particle instrument npd on mars express observed unexplained neutral beams unrelated to mars which appear to be either of heliospheric or solar wind origin likewise the npi instrument on mars express has revealed streams of neutral atoms with different properties than those observed by npd independently imagelena has reported neutral atom observations that may be interpreted as a secondary stream having different characteristics and flowing from a higher ecliptic longitude than the nominal upstream direction both sets of observations do not appear to fit in easily with the neutral atom environment from 10157 au as it is currently understood in this paper we examine some highly suggestive similarities in the imagelena and mars expressaspera3npi data to try to determine potential origins for the observed signal | [['the', 'low', 'energy', 'neutral', 'atom', 'imagers', 'on', 'mars', 'express', 'and', 'image', 'have', 'revealed', 'that', 'the', 'neutral', 'atom', 'populations', 'in', 'interplanetary', 'space', 'come', 'from', 'a', 'variety', 'of', 'sources', 'and', 'challenge', 'our', 'current', 'understanding', 'of', 'heliospheric', 'physics', 'for', 'example', 'both', 'in', 'cruise', 'phase', 'and', 'at', 'mars', 'the', 'neutral', 'particle', 'instrument', 'npd', 'on', 'mars', 'express', 'observed', 'unexplained', 'neutral', 'beams', 'unrelated', 'to', 'mars', 'which', 'appear', 'to', 'be', 'either', 'of', 'heliospheric', 'or', 'solar', 'wind', 'origin', 'likewise', 'the', 'npi', 'instrument', 'on', 'mars', 'express', 'has', 'revealed', 'streams', 'of', 'neutral', 'atoms', 'with', 'different', 'properties', 'than', 'those', 'observed', 'by', 'npd', 'independently', 'imagelena', 'has', 'reported', 'neutral', 'atom', 'observations', 'that', 'may', 'be', 'interpreted', 'as', 'a', 'secondary', 'stream', 'having', 'different', 'characteristics', 'and', 'flowing', 'from', 'a', 'higher', 'ecliptic', 'longitude', 'than', 'the', 'nominal', 'upstream', 'direction', 'both', 'sets', 'of', 'observations', 'do', 'not', 'appear', 'to', 'fit', 'in', 'easily', 'with', 'the', 'neutral', 'atom', 'environment', 'from', '10157', 'au', 'as', 'it', 'is', 'currently', 'understood', 'in', 'this', 'paper', 'we', 'examine', 'some', 'highly', 'suggestive', 'similarities', 'in', 'the', 'imagelena', 'and', 'mars', 'expressaspera3npi', 'data', 'to', 'try', 'to', 'determine', 'potential', 'origins', 'for', 'the', 'observed', 'signal']] | [-0.06412802757360711, 0.18207325622952447, -0.04213971195151349, 0.08917379238667848, -0.05506758771775413, -0.11686390839952106, 0.020248728671144627, 0.39246003256140355, -0.22784044908660794, -0.37518576312319424, 0.061152059935496196, -0.3093635318717155, -0.09653501474845061, 0.1783527669766611, -0.04106826283327655, -0.018296677992863213, 0.08211864316334089, -0.015730588420846327, -0.012319262025175158, -0.17934121919829332, 0.23823199611056797, 0.10662768895788018, 0.17979714939716512, 0.021767868236554955, 0.09577401957549936, -0.06227883301580514, -0.03075799197767175, -0.0002829509950730905, -0.10009312744903821, 0.08921198011375964, 0.2545170346344682, 0.14710770110170285, 0.16365916618113935, -0.49418830301634925, -0.21987923216297775, 0.049896436665363295, 0.13779139476911928, 0.019721288594394967, -0.07005388650716934, -0.30183979706046826, 0.000810413935060005, -0.14496056826974818, -0.15804833416899522, -0.007658471054994239, 0.018490569065129775, 0.01971728418128353, -0.22878557283843973, 0.016817769564097067, -0.008166930479315404, 0.12056678346243915, -0.13549550296181065, -0.14711795308945064, -0.0547950631969547, 0.10409793298005567, 0.08609150522346692, 0.06319703143347936, 0.19859416093844587, -0.1044638283441992, -0.0726491890883932, 0.42549142005022417, -0.09314686699068414, -0.100373343115639, 0.26761232096768783, -0.27032953515247315, -0.12769263470266573, 0.15872410760877353, 0.17420459456440662, 0.04407548153714394, -0.15445108168540958, 0.03825587985328187, -0.0570467874312963, 0.15429863806055513, 0.11074372932933896, 0.048360968418530895, 0.30809117309068756, 0.0941901643395223, 0.0651620278597815, 0.07692908102640893, -0.17670213725574002, -0.07042007664675841, -0.18931735861868024, -0.13754967152291608, -0.1281818836693189, 0.03313815833111559, -0.026292074652521837, -0.12279387004917465, 0.35891653469367746, 0.19306608545524206, 0.21714688915045496, -0.07264566486826847, 0.3170627689680564, 0.0458374948479224, 0.08014944580127067, 0.04651420959689749, 0.29132936329216264, 0.06915562945265744, 0.1577675434102689, -0.1801652763705299, 0.14270521992954152, -0.007971522292334162] |
711.1679 | Measurements of K+/-, Ks, Lambda and Lambda-bar and Bose-Einstein
Correlations between Kaons at ZEUS | Measurements of production of the neutral and charged strange hadrons in ep
collisions with the ZEUS detector are presented. The data on differential cross
sections, baryon-to-meson ratios, baryon-antibaryon asymmetry and Bose-Einstein
correlations in deep inelastic scattering and photoproduction are summarized.
| hep-ex hep-ph | measurements of production of the neutral and charged strange hadrons in ep collisions with the zeus detector are presented the data on differential cross sections baryontomeson ratios baryonantibaryon asymmetry and boseeinstein correlations in deep inelastic scattering and photoproduction are summarized | [['measurements', 'of', 'production', 'of', 'the', 'neutral', 'and', 'charged', 'strange', 'hadrons', 'in', 'ep', 'collisions', 'with', 'the', 'zeus', 'detector', 'are', 'presented', 'the', 'data', 'on', 'differential', 'cross', 'sections', 'baryontomeson', 'ratios', 'baryonantibaryon', 'asymmetry', 'and', 'boseeinstein', 'correlations', 'in', 'deep', 'inelastic', 'scattering', 'and', 'photoproduction', 'are', 'summarized']] | [-0.07849229359417223, 0.23033261969685553, -0.12046457577962429, 0.18222928531467913, 0.06763736552093177, -0.09284421557094902, -0.08891424370958703, 0.32681937450543047, -0.1582817978458479, -0.207676308369264, -0.15112619789433665, -0.5433989091776311, 0.10865981513634324, 0.08563648512936198, 0.17223723751958459, 0.2084004139760509, 0.13169249445199965, -0.03868450733134523, 0.017639829567633568, -0.22761174631887116, 0.38778883931227026, 0.06917678433164838, 0.2860937480814755, 0.2331323693972081, 0.04838632876344491, 0.12341844349866733, -0.10277957792131928, -0.04710847153328359, -0.10725940960692242, 0.07472510474690353, 0.3306222864426672, 0.07209353599464521, -0.06346938507631421, -0.40405888345558194, -0.03282577525824308, 0.11535647343844176, 0.19021735347341745, 0.08265104601159692, -0.13564379710296634, -0.36224009916186334, 0.0038783870404586196, -0.19893303113058208, -0.06573076728382148, -0.11871590783066495, 0.05497753485688008, 0.0855895183281973, -0.3083173796068877, 0.10565880335634574, -0.07987445164471865, 0.07637287811667193, -0.06428613848402165, -0.23640149892307818, -0.07279161526821554, -0.08193536443577613, 0.0832857826957479, 0.023974673275370152, 0.22488082889467478, -0.19411812410980928, -0.17560532484203578, 0.31512020830996335, -0.07238253192044794, -0.15900117276469244, 0.12993749012239278, -0.2965214063413441, -0.10900791758322156, 0.19189268790069036, 0.34350207829847934, 0.07318717134185135, -0.2656508533051237, 0.034503497155674266, -0.011534800892695785, 0.128086008928949, 0.1215719259576872, 0.09000070769398008, 0.15946607005316765, 0.30070107001811264, -0.17744436387438328, -0.026029290282167494, -0.17449167183949613, -0.10278484974987805, -0.4252530324156396, -0.10050889973063022, 0.01750133968889713, 0.06562598459422589, -0.004981365484491107, -0.023121826199349015, 0.2360811550868675, 0.008136201510205865, 0.3907267182134092, -0.0759837806923315, 0.35822506510303354, 0.09786728426988703, 0.04219457893632352, 0.03328998025972396, 0.38724159840494393, 0.25236707357689736, 0.2581364126759581, -0.2709291978739202, 0.06614667251778883, -0.009783129079733045] |
711.168 | Zeon Algebra, Fock Space, and Markov Chains | Fock spaces over zeons are introduced. Trace identities and a noncommutative
"integration-by-parts" formula are developed. As an application, we find a new
criterion, without involving powers of the transition matrix, for a Markov
chain to be ergodic.
| math-ph math.MP | fock spaces over zeons are introduced trace identities and a noncommutative integrationbyparts formula are developed as an application we find a new criterion without involving powers of the transition matrix for a markov chain to be ergodic | [['fock', 'spaces', 'over', 'zeons', 'are', 'introduced', 'trace', 'identities', 'and', 'a', 'noncommutative', 'integrationbyparts', 'formula', 'are', 'developed', 'as', 'an', 'application', 'we', 'find', 'a', 'new', 'criterion', 'without', 'involving', 'powers', 'of', 'the', 'transition', 'matrix', 'for', 'a', 'markov', 'chain', 'to', 'be', 'ergodic']] | [-0.10698281037243637, 0.14692552026866218, -0.08932137902121286, 0.14047419652342796, -0.10158482511099931, -0.13030054057772095, 0.023452634092521022, 0.3845290889762141, -0.2897300782135209, -0.20654364277583523, 0.1557216141624628, -0.21521658926094706, -0.15453574524537936, 0.2312164205453686, -0.056181175030163816, 0.04240283108240849, 0.015572583063732128, 0.05741120491025818, -0.14927926093239235, -0.20931239147368516, 0.37305382870741793, 0.005914791059252378, 0.20369882236008305, 0.027005715295672417, 0.14585959357567402, 0.05986501443879427, -0.04492345094882153, -0.04077104839018068, -0.12889077798840967, 0.10504211194032954, 0.26894681558415695, 0.10601412880272176, 0.2455129672244594, -0.36057371263568466, -0.17408594619986173, 0.15796118325906228, 0.1183648392105022, 0.09751258921381589, -0.023899588280835667, -0.32794417722805125, 0.05935792846454156, -0.2849851822530901, -0.1375253064104834, -0.17536206077155028, -0.030528189312364604, 0.014439628950345356, -0.3759375179589197, 0.013733636172538673, 0.06817707222433307, 0.08756142238003982, -0.03907667170908, -0.08828572246774628, 0.038468337945035985, 0.09795395545409741, -0.006807843122530628, -0.014724523898818204, 0.08200618729146349, -0.05718603845987771, -0.17315188226466244, 0.28624646436121015, -0.0690722969687871, -0.25018694966628746, 0.09892711797225717, -0.05937561772864412, -0.1546091649026887, 0.1390327128103456, 0.08843505709759288, 0.15026076430001775, -0.17819607743641008, 0.13118907950057118, -0.06624620468229861, 0.0662997564854654, 0.09054106791075822, 0.058272019692545605, 0.1139339689429648, 0.011280162864037463, 0.09019371753910908, 0.21173163123013503, -0.0030352538199843585, -0.16265443577022115, -0.32516745583632506, -0.2710169226535269, -0.17715695998757272, 0.12484326515648816, -0.12981105856306385, -0.20547665627924977, 0.2955858986824751, 0.06396981427130684, 0.16949099448282975, 0.12556033105765646, 0.19223300090084808, 0.20716474781354033, 0.06859025628482168, 0.019012039351100858, 0.07274988863768207, 0.2681086703732207, 0.05541062927364397, -0.11171300755813718, 0.0168982214495741, 0.23877364700358059] |
711.1681 | Quasiisometries between negatively curved Hadamard manifolds | Let X, Y be the universal covers of two compact Riemannian manifolds (with
dimension not equal to 4) with negative sectional curvature. Then every
quasiisometry between them lies at a finite distance from a bilipschitz
homeomorphism.
| math.GR math.GT | let x y be the universal covers of two compact riemannian manifolds with dimension not equal to 4 with negative sectional curvature then every quasiisometry between them lies at a finite distance from a bilipschitz homeomorphism | [['let', 'x', 'y', 'be', 'the', 'universal', 'covers', 'of', 'two', 'compact', 'riemannian', 'manifolds', 'with', 'dimension', 'not', 'equal', 'to', '4', 'with', 'negative', 'sectional', 'curvature', 'then', 'every', 'quasiisometry', 'between', 'them', 'lies', 'at', 'a', 'finite', 'distance', 'from', 'a', 'bilipschitz', 'homeomorphism']] | [-0.17342509155989522, 0.14339002201126683, -0.091089199258325, 0.04506145027052197, -0.10318607476074249, -0.284323066395397, -0.03110415307391021, 0.4267108624594079, -0.3293016153636725, -0.17378261982877222, 0.05834326916374266, -0.363667500205338, -0.04746412258181307, 0.15869496806084904, -0.17718984965338475, -0.04934722742634929, 0.018378335232329037, 0.1173256787781914, -0.16919418760678834, -0.2759578959602449, 0.5055989308489693, -0.1329559115692973, 0.16134638830489065, 0.13546722998014754, 0.18676504439726058, -0.0893290800223541, 0.04801124122200741, 0.08515774304073097, -0.19617811509346617, 0.12117469326282541, 0.29725062909225625, 0.03941519634099677, 0.23597737386848572, -0.2586431555642371, -0.18843343292569947, 0.2794830228926407, 0.11132568228317218, -0.12470932395404412, 0.0005878941932072242, -0.2947935481756253, 0.15239813020970258, -0.004671980251765085, -0.15464201564383176, -0.004237934132106602, 0.12290144665166736, -0.06462478337602483, -0.1841077893687826, -0.016201860452484753, 0.1265867276945048, 0.10314349358426018, -0.02590512260535939, -0.09533119129223956, -0.12009914197389865, 0.15353516747644688, -0.02235397318792012, 0.1930070230607978, 0.09979413481940153, 0.09096949961450365, -0.08754160451806253, 0.32637371276763993, -0.1118955051060766, -0.32348896925234133, 0.14481698292204076, -0.23285749932337138, -0.10182972121725066, 0.178629131289199, 0.13253525082513484, 0.1529240341236194, -0.032887503763453826, 0.21689533080077833, -0.036569413237480655, 0.1718836573159529, 0.12456544941394693, -0.05222294536522693, 0.17838584331588614, 0.08433350630932385, 0.2349834505779048, 0.0858084323861274, 0.0024274959958145497, 0.05173666180214948, -0.41553479350275463, -0.17536532890517265, -0.16530510841564844, 0.2642870952650911, -0.23918992881145743, -0.16536305842196775, 0.2972158898806406, -0.05781720123357243, 0.2546217678528693, 0.20376968590749633, 0.22824221963269842, -0.08458938318330587, 0.07254699922891127, 0.1840215613030725, 0.11545607354491949, 0.2525154175495522, -0.056600913094977535, -0.05102461478802272, -0.06479785150279188, 0.1870382979977876] |
711.1682 | Data Structures for Mergeable Trees | Motivated by an application in computational topology, we consider a novel
variant of the problem of efficiently maintaining dynamic rooted trees. This
variant requires merging two paths in a single operation. In contrast to the
standard problem, in which only one tree arc changes at a time, a single merge
operation can change many arcs. In spite of this, we develop a data structure
that supports merges on an n-node forest in O(log^2 n) amortized time and all
other standard tree operations in O(log n) time (amortized, worst-case, or
randomized depending on the underlying data structure). For the special case
that occurs in the motivating application, in which arbitrary arc deletions
(cuts) are not allowed, we give a data structure with an O(log n) time bound
per operation. This is asymptotically optimal under certain assumptions. For
the even-more special case in which both cuts and parent queries are
disallowed, we give an alternative O(log n)-time solution that uses standard
dynamic trees as a black box. This solution also applies to the motivating
application. Our methods use previous work on dynamic trees in various ways,
but the analysis of each algorithm requires novel ideas. We also investigate
lower bounds for the problem under various assumptions.
| cs.DS | motivated by an application in computational topology we consider a novel variant of the problem of efficiently maintaining dynamic rooted trees this variant requires merging two paths in a single operation in contrast to the standard problem in which only one tree arc changes at a time a single merge operation can change many arcs in spite of this we develop a data structure that supports merges on an nnode forest in olog2 n amortized time and all other standard tree operations in olog n time amortized worstcase or randomized depending on the underlying data structure for the special case that occurs in the motivating application in which arbitrary arc deletions cuts are not allowed we give a data structure with an olog n time bound per operation this is asymptotically optimal under certain assumptions for the evenmore special case in which both cuts and parent queries are disallowed we give an alternative olog ntime solution that uses standard dynamic trees as a black box this solution also applies to the motivating application our methods use previous work on dynamic trees in various ways but the analysis of each algorithm requires novel ideas we also investigate lower bounds for the problem under various assumptions | [['motivated', 'by', 'an', 'application', 'in', 'computational', 'topology', 'we', 'consider', 'a', 'novel', 'variant', 'of', 'the', 'problem', 'of', 'efficiently', 'maintaining', 'dynamic', 'rooted', 'trees', 'this', 'variant', 'requires', 'merging', 'two', 'paths', 'in', 'a', 'single', 'operation', 'in', 'contrast', 'to', 'the', 'standard', 'problem', 'in', 'which', 'only', 'one', 'tree', 'arc', 'changes', 'at', 'a', 'time', 'a', 'single', 'merge', 'operation', 'can', 'change', 'many', 'arcs', 'in', 'spite', 'of', 'this', 'we', 'develop', 'a', 'data', 'structure', 'that', 'supports', 'merges', 'on', 'an', 'nnode', 'forest', 'in', 'olog2', 'n', 'amortized', 'time', 'and', 'all', 'other', 'standard', 'tree', 'operations', 'in', 'olog', 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'we', 'also', 'investigate', 'lower', 'bounds', 'for', 'the', 'problem', 'under', 'various', 'assumptions']] | [-0.15489280780460776, 0.09698239831154101, -0.05165062972523382, 0.07490773502510188, -0.09459346147217407, -0.15007313523267216, 0.14272011799870857, 0.37946090027873447, -0.2810453757118397, -0.3349719426498331, 0.11685074347225041, -0.24460588220571136, -0.14697497515145488, 0.17528875283392265, -0.0940882135320253, 0.056603014032159164, 0.08258621821270595, 0.05733793005897787, -0.04831041421470567, -0.2982609425304375, 0.27886524083832737, 0.04267835268622328, 0.25605867140848426, 0.00857092378135734, 0.06531833218848745, 0.08063824078196595, -0.0037852390462835435, 0.02705681290055437, -0.12043316660988979, 0.06695711087889819, 0.25874989369673096, 0.17634611661096328, 0.2745975259808466, -0.4782106194535059, -0.1586696951182128, 0.12250338760697801, 0.15453760321091475, 0.13746330130150258, -0.049141772898267315, -0.18643891105079666, 0.07583258111658392, 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711.1683 | Fra\"iss\'e sequences: category-theoretic approach to universal
homogeneous structures | We develop category-theoretic framework for universal homogeneous objects,
with some applications in the theory of Banach spaces, linear orderings, and in
topology of compact spaces.
| math.CT math.FA math.GN | we develop categorytheoretic framework for universal homogeneous objects with some applications in the theory of banach spaces linear orderings and in topology of compact spaces | [['we', 'develop', 'categorytheoretic', 'framework', 'for', 'universal', 'homogeneous', 'objects', 'with', 'some', 'applications', 'in', 'the', 'theory', 'of', 'banach', 'spaces', 'linear', 'orderings', 'and', 'in', 'topology', 'of', 'compact', 'spaces']] | [-0.11459419252350926, 0.1145417596772313, -0.08956884190440179, 0.16770903199911116, -0.11987322375178337, -0.06241074725985527, 0.00793619470205158, 0.4325158817321062, -0.32449660301208494, -0.1789662742614746, 0.08581701503135264, -0.19071523793041706, -0.20546597123146057, 0.20769925326108932, -0.155247223675251, 0.037816004380583766, -0.010365455448627471, 0.053561399281024935, -0.1792353441938758, -0.26975599009543655, 0.5000126812048257, -0.07863413151353597, 0.21755562350153923, -0.029825418591499328, 0.1132441571354866, 0.05039022086188197, -0.02025342483073473, 0.1002263829112053, -0.1842256574332714, 0.23894001424312591, 0.4023330327868462, 0.10965998870320619, 0.27303881585597994, -0.4192351585626602, -0.22624130729585887, 0.10704017158597708, 0.015045866332948209, 0.01281617134809494, -0.06647326800972224, -0.32322903055697677, 0.10225894562900066, -0.17701150752604008, -0.12714267790317535, -0.19080646093934775, 0.07352607909590006, 0.03235300064086914, -0.24459381237626077, -0.020715860980562866, 0.14818857975304126, 0.09793903324753046, -0.1806038885191083, -0.031539379581809045, 0.03594876702874899, 0.07423863107338548, -0.07862909831106663, 0.010061287451535464, 0.07727110978215933, -0.09213984787464141, -0.21227400427684187, 0.3600299745053053, -0.029870918169617653, -0.24662386164069175, 0.20721165087074042, -0.16179841555655003, -0.2286261388938874, 0.042850453704595566, 0.18443219537846745, 0.18812514297664165, -0.050350405685603616, 0.25071513749426233, -0.06852369353175164, 0.07798597276210785, 0.016009445264935494, 0.17032109072431922, 0.1518068577349186, 0.1928319127857685, 0.127294588573277, 0.1333140849135816, 0.07000989988446235, -0.1280213960399851, -0.3597318547964096, -0.17436424028128386, -0.07523903712630271, 0.03232473410665989, -0.15835189990641083, -0.26062855422496795, 0.3294607007130981, 0.059813202656805516, 0.17568603709340094, 0.08113468203693629, 0.19174767561256886, 0.014162584533914923, -0.013701753616333008, 0.07897657938301564, 0.13564921631128526, 0.25150536000728607, 0.07303534515202045, -0.0324032083991915, -0.04285538580268621, 0.20315438978374004] |
711.1684 | Saturated absorption spectroscopy: elimination of crossover resonances
by use of a nanocell | It is demonstrated that velocity selective optical pumping/saturation
resonances of reduced absorption in a Rb vapor nanocell with thickness
\textit{L=} $\lambda $, 2$\lambda $, and 3$\lambda $ (resonant wavelength
$\lambda $ = 780 nm) allow the complete elimination of crossover (CO)
resonances. We observe well pronounced resonances corresponding to the
F$_{g}=3$ $\to $ F$_{e}=2,3,4$ hyperfine transitions of the $^{85}$Rb D$_{2}$
line with linewidths close to the natural width. A small CO resonance located
midway between F$_{g}=3$ $\to $ F$_{e}=3$ and F$_{g}=3$ $\to$ F$_{e}=4$
transitions appears only for \textit{L} = 4$\lambda $. The D$_{2}$ line
($\lambda $ = 852 nm) in a Cs nanocell exhibits a similar behavior. From the
amplitude ratio of the CO and VSOP resonances it is possible to determine the
thickness of the column of alkali vapor in the range of 1 - 1000 $\mu $m. The
absence of CO resonances for nanocells with $L \sim \lambda $ is attractive for
frequency reference application and for studying transitions between Zeeman
sublevels in external magnetic fields.
| physics.class-ph | it is demonstrated that velocity selective optical pumpingsaturation resonances of reduced absorption in a rb vapor nanocell with thickness textitl lambda 2lambda and 3lambda resonant wavelength lambda 780 nm allow the complete elimination of crossover co resonances we observe well pronounced resonances corresponding to the f_g3 to f_e234 hyperfine transitions of the 85rb d_2 line with linewidths close to the natural width a small co resonance located midway between f_g3 to f_e3 and f_g3 to f_e4 transitions appears only for textitl 4lambda the d_2 line lambda 852 nm in a cs nanocell exhibits a similar behavior from the amplitude ratio of the co and vsop resonances it is possible to determine the thickness of the column of alkali vapor in the range of 1 1000 mu m the absence of co resonances for nanocells with l sim lambda is attractive for frequency reference application and for studying transitions between zeeman sublevels in external magnetic fields | [['it', 'is', 'demonstrated', 'that', 'velocity', 'selective', 'optical', 'pumpingsaturation', 'resonances', 'of', 'reduced', 'absorption', 'in', 'a', 'rb', 'vapor', 'nanocell', 'with', 'thickness', 'textitl', 'lambda', '2lambda', 'and', '3lambda', 'resonant', 'wavelength', 'lambda', '780', 'nm', 'allow', 'the', 'complete', 'elimination', 'of', 'crossover', 'co', 'resonances', 'we', 'observe', 'well', 'pronounced', 'resonances', 'corresponding', 'to', 'the', 'f_g3', 'to', 'f_e234', 'hyperfine', 'transitions', 'of', 'the', '85rb', 'd_2', 'line', 'with', 'linewidths', 'close', 'to', 'the', 'natural', 'width', 'a', 'small', 'co', 'resonance', 'located', 'midway', 'between', 'f_g3', 'to', 'f_e3', 'and', 'f_g3', 'to', 'f_e4', 'transitions', 'appears', 'only', 'for', 'textitl', '4lambda', 'the', 'd_2', 'line', 'lambda', '852', 'nm', 'in', 'a', 'cs', 'nanocell', 'exhibits', 'a', 'similar', 'behavior', 'from', 'the', 'amplitude', 'ratio', 'of', 'the', 'co', 'and', 'vsop', 'resonances', 'it', 'is', 'possible', 'to', 'determine', 'the', 'thickness', 'of', 'the', 'column', 'of', 'alkali', 'vapor', 'in', 'the', 'range', 'of', '1', '1000', 'mu', 'm', 'the', 'absence', 'of', 'co', 'resonances', 'for', 'nanocells', 'with', 'l', 'sim', 'lambda', 'is', 'attractive', 'for', 'frequency', 'reference', 'application', 'and', 'for', 'studying', 'transitions', 'between', 'zeeman', 'sublevels', 'in', 'external', 'magnetic', 'fields']] | [-0.1246513742070913, 0.18940316453755657, 0.059784584357616265, -0.003729615781267533, -0.009599357566437105, -0.1764549056548942, 0.07889866013098143, 0.43732932908764854, -0.20052658481632962, -0.2735277677161826, -0.030369661527752778, -0.27598450346880293, -0.008092980960450968, 0.12060467732211977, 0.07944450448906305, -0.01740354562506956, -0.011102012908725324, -0.01766863473374518, -0.007875710420289193, -0.09749674624632176, 0.2607754946996768, 0.008591217207996285, 0.21027366294726438, 0.0936399449691712, 0.02954967316313117, -0.08382835571906755, 0.09441759943558067, -0.07556287753182689, -0.19444814854130504, 0.03279068186008706, 0.2631426927651845, 0.0016869626744510301, 0.18181199644953985, -0.2992639851518998, -0.1346333343474791, 0.0777598839622977, 0.16344806394886738, 0.10608897663293759, 0.04977753835431988, -0.31214011074393816, 0.03787378947938384, -0.0590426094976126, -0.167845397438927, -0.007979994313810416, 0.12037278403485425, -0.0015858138859685925, -0.32488831198542967, 0.06833439986879658, 0.036022254136494465, 0.15561428738551009, -0.04954432516535318, -0.18187740649662765, -0.05345112783461029, 0.021953813600798254, -0.04964398555427157, 0.03401482358325297, 0.18988449134395208, -0.05550973412574701, -0.029369648349672265, 0.38090577567364486, -0.1905523692425097, -0.04060591697035467, 0.18411112627245826, -0.21032955304847337, -0.04253000090525674, 0.2554350289595283, 0.06955098599085913, 0.10852567045766787, -0.03495293438512211, 0.06785166327646794, 0.0026982126976637278, 0.25924027754371265, 0.19790351597647018, 0.08216181039213648, 0.1935395302838384, 0.12637783392420757, 0.01341527318764551, 0.11144218021955073, -0.1989707627259134, -0.04295439025565215, -0.21550790549201124, -0.1348992744552008, -0.13900904192701835, 0.07331137734867048, -0.06988979511083183, -0.12045284424637584, 0.3057274744188523, 0.08003309610135415, 0.26325698185931234, -0.05185136610188969, 0.27481347684036284, 0.10881050110618079, 0.08663466436411041, -0.01744985212480613, 0.2773686733851635, 0.24399290547334876, 0.11557510967390745, -0.3019306517550052, -0.02610093327026108, -0.046240206142838775] |
711.1685 | The decomposition of Global Conformal Invariants I: On a conjecture of
Deser and Schwimmer | This is the first in a series of papers where we prove a conjecture of Deser
and Schwimmer regarding the algebraic structure of ``global confor- mal
invariants"; these are defined to be conformally invariant integrals of
geometric scalars. The conjecture asserts that the integrand of any such
integral can be expressed as a linear combination of a local conformal
invariant, a divergence and of the Chern-Gauss-Bonnet integrand.
In this paper we set up an iterative procedure that proves the decom-
position. We then derive the iterative step in the first of two cases, subject
to a purely algebraic result which is proven in [6, 7, 8].
| math.DG | this is the first in a series of papers where we prove a conjecture of deser and schwimmer regarding the algebraic structure of global confor mal invariants these are defined to be conformally invariant integrals of geometric scalars the conjecture asserts that the integrand of any such integral can be expressed as a linear combination of a local conformal invariant a divergence and of the cherngaussbonnet integrand in this paper we set up an iterative procedure that proves the decom position we then derive the iterative step in the first of two cases subject to a purely algebraic result which is proven in 6 7 8 | [['this', 'is', 'the', 'first', 'in', 'a', 'series', 'of', 'papers', 'where', 'we', 'prove', 'a', 'conjecture', 'of', 'deser', 'and', 'schwimmer', 'regarding', 'the', 'algebraic', 'structure', 'of', 'global', 'confor', 'mal', 'invariants', 'these', 'are', 'defined', 'to', 'be', 'conformally', 'invariant', 'integrals', 'of', 'geometric', 'scalars', 'the', 'conjecture', 'asserts', 'that', 'the', 'integrand', 'of', 'any', 'such', 'integral', 'can', 'be', 'expressed', 'as', 'a', 'linear', 'combination', 'of', 'a', 'local', 'conformal', 'invariant', 'a', 'divergence', 'and', 'of', 'the', 'cherngaussbonnet', 'integrand', 'in', 'this', 'paper', 'we', 'set', 'up', 'an', 'iterative', 'procedure', 'that', 'proves', 'the', 'decom', 'position', 'we', 'then', 'derive', 'the', 'iterative', 'step', 'in', 'the', 'first', 'of', 'two', 'cases', 'subject', 'to', 'a', 'purely', 'algebraic', 'result', 'which', 'is', 'proven', 'in', '6', '7', '8']] | [-0.17773318017134443, 0.0484317449466159, -0.1552812324570758, 0.07253471278541145, -0.06802651457754628, -0.10075131216574283, -0.009178473524350141, 0.28696360098464146, -0.29577542687322766, -0.27249857767352037, 0.11768216384308679, -0.2301746105642191, -0.20703896174783862, 0.16476922182676693, -0.10221927270204538, 0.07236368457032812, 0.022174388454073952, 0.052934821987790724, -0.09909850383354794, -0.3095764258588176, 0.34160978654843, -0.032502567448786324, 0.1962353989614972, 0.07247838082257659, 0.150362444677878, 0.01479831976549966, -0.05914431185505929, 0.019349165335197108, -0.11889506355440799, 0.14390902297482605, 0.2542969414609529, 0.10602538735783171, 0.23827288716898432, -0.3766100301629021, -0.12665227432957007, 0.10318808275319281, 0.14157978281644837, 0.09009393373216014, 0.015991273014584466, -0.24766775926663762, 0.12081860245338508, -0.14068334790922346, -0.167163482232995, -0.07768802891174952, 0.002710712275334767, -0.03389406648597547, -0.29260186815822853, 0.05669302778052432, 0.12544519638731366, 0.0874700792311203, -0.04894336804836279, -0.06194270743012783, -0.002917664952664858, 0.07444939149454946, 0.050439518073662405, 0.08505995548551991, 0.06985209520817512, -0.09844796942280871, -0.1353274916010421, 0.3360871490091085, -0.0716243849878776, -0.23559855107617164, 0.11273345035012988, -0.11710153172413508, -0.214084437899735, 0.10145293200122459, 0.10176590177274886, 0.17629310115284863, -0.15130766876806903, 0.15786941672253998, -0.07907659248227165, 0.09327297988569452, 0.12069094927449311, -0.007396822249782937, 0.13415268377090495, 0.05529890067964083, 0.09168246292087825, 0.1527013673280765, -0.00954904496459113, -0.04961898113334817, -0.38648140909859824, -0.2219102161803416, -0.17217856268620207, 0.1210790527541013, -0.08905475787968109, -0.17824350750694673, 0.395254887445342, 0.07438729583615593, 0.19764906392166656, 0.08694752177023994, 0.23756163012058962, 0.159082663134766, 0.039931815563301956, 0.08280860126195919, 0.21743012413914714, 0.15220556256494353, 0.04005570999191453, -0.15359438440008533, -0.003550538296500842, 0.17427943831398374] |
711.1686 | Adiabatic information transport in the presence of decoherence | We study adiabatic population transfer between discrete positions. Being
closely related to STIRAP in optical systems, this transport is coherent and
robust against variations of experimental parameters. Thanks to these
properties the scheme is a promising candidate for transport of quantum
information in quantum computing. We study the effects of spatially registered
noise sources on the quantum transport and in particular model Markovian
decoherence via non-local coupling to nearby quantum point contacts which serve
as information readouts. We find that the rate of decoherence experienced by a
spatial superposition initially grows with spatial separation but surprisingly
then plateaus. In addition we include non-Markovian effects due to couplings to
nearby two level systems and we find that although the population transport
exhibits robustness in the presence of both types of noise sources, the
transport of a spatial superposition exhibits severe fragility.
| quant-ph | we study adiabatic population transfer between discrete positions being closely related to stirap in optical systems this transport is coherent and robust against variations of experimental parameters thanks to these properties the scheme is a promising candidate for transport of quantum information in quantum computing we study the effects of spatially registered noise sources on the quantum transport and in particular model markovian decoherence via nonlocal coupling to nearby quantum point contacts which serve as information readouts we find that the rate of decoherence experienced by a spatial superposition initially grows with spatial separation but surprisingly then plateaus in addition we include nonmarkovian effects due to couplings to nearby two level systems and we find that although the population transport exhibits robustness in the presence of both types of noise sources the transport of a spatial superposition exhibits severe fragility | [['we', 'study', 'adiabatic', 'population', 'transfer', 'between', 'discrete', 'positions', 'being', 'closely', 'related', 'to', 'stirap', 'in', 'optical', 'systems', 'this', 'transport', 'is', 'coherent', 'and', 'robust', 'against', 'variations', 'of', 'experimental', 'parameters', 'thanks', 'to', 'these', 'properties', 'the', 'scheme', 'is', 'a', 'promising', 'candidate', 'for', 'transport', 'of', 'quantum', 'information', 'in', 'quantum', 'computing', 'we', 'study', 'the', 'effects', 'of', 'spatially', 'registered', 'noise', 'sources', 'on', 'the', 'quantum', 'transport', 'and', 'in', 'particular', 'model', 'markovian', 'decoherence', 'via', 'nonlocal', 'coupling', 'to', 'nearby', 'quantum', 'point', 'contacts', 'which', 'serve', 'as', 'information', 'readouts', 'we', 'find', 'that', 'the', 'rate', 'of', 'decoherence', 'experienced', 'by', 'a', 'spatial', 'superposition', 'initially', 'grows', 'with', 'spatial', 'separation', 'but', 'surprisingly', 'then', 'plateaus', 'in', 'addition', 'we', 'include', 'nonmarkovian', 'effects', 'due', 'to', 'couplings', 'to', 'nearby', 'two', 'level', 'systems', 'and', 'we', 'find', 'that', 'although', 'the', 'population', 'transport', 'exhibits', 'robustness', 'in', 'the', 'presence', 'of', 'both', 'types', 'of', 'noise', 'sources', 'the', 'transport', 'of', 'a', 'spatial', 'superposition', 'exhibits', 'severe', 'fragility']] | [-0.15365310851817152, 0.1440861632249185, -0.08272967297723101, 0.06148732645711529, 0.003865218934203897, -0.1821924554683002, 0.05985294717829674, 0.37490591617035013, -0.291539536709232, -0.30227961816292787, 0.054531352014912826, -0.27721890207113964, -0.1552571962820366, 0.19452669558813795, -0.05204532756137529, 0.03969609055826108, 0.03731866647223277, -0.03204691726049142, -0.03775058148229229, -0.2024425746041483, 0.3123136068162109, 0.07310462735227442, 0.308371013363025, 0.03546558143571019, 0.09595404442599309, -0.004411980849025505, -0.0001739440656300368, 0.014057387547966625, -0.08416281559090878, 0.06875938804587349, 0.22222500295112177, 0.01717541931346724, 0.2480406444320189, -0.4207221424656122, -0.25750770124972666, 0.09623510787163728, 0.13065143360810388, 0.18385147376767627, -0.06623985536945319, -0.29635784928021686, 0.026488335922892604, -0.1311003244748073, -0.10702652569328036, -0.07992952100799552, 0.019155117576675755, 0.030028303829021753, -0.2392311498905266, 0.1595378799962678, 0.03316853962688973, 0.019945510538361435, -0.02849882614100352, -0.039362463521371995, -0.005681660593420799, 0.14896293041612288, 0.013036404988296064, -0.037199034532490516, 0.16061390547214874, -0.14576232355986057, -0.14868109575805388, 0.36372142564339033, -0.07549190061067097, -0.1767140089268131, 0.2374379925429821, -0.13454686899203808, -0.11016731761462455, 0.10724378155344831, 0.1713754193790789, 0.07784518673683384, -0.18224586000932114, 0.008750133740665791, 0.034528411445873125, 0.17107194706519036, 0.028612408743772123, 0.19053690557235053, 0.22223666712109533, 0.15419075319077818, 0.056805396119930913, 0.17861571933275888, -0.1585138616509669, -0.17373974262404124, -0.26420226396128005, -0.12091084622245814, -0.17076507835050247, 0.11411149597302678, -0.05423614498130129, -0.15499833872059493, 0.3888849240454095, 0.19805022332750793, 0.17436332685340727, -0.01308560818683223, 0.2831387362542695, 0.12668214058420355, 0.047187279058354244, 0.08091619523641254, 0.237512619770132, 0.1552061483912569, 0.06315862033516169, -0.2974219167372212, 0.07760031019986074, -0.03461999414555196] |
711.1687 | Naturalness and the Neutrino Matrix | The observed pattern of neutrino mass splittings and mixing angles indicates
that their family structure is significantly different from that of the charged
fermions. We investigate the implications of these data for the fermion mass
matrices in grand unified theories with a type-I seesaw mechanism. We show
that, with simple assumptions, naturalness leads to a strongly hierarchical
Majorana mass matrix for heavy right-handed neutrinos and a partially cascade
form for the Dirac neutrino matrix. We consider various model building
scenarios which could alter this conclusion, and discuss their consequences for
the construction of a natural model. We find that including partially lopsided
matrices can aid us in generating a satisfying model.
| hep-ph | the observed pattern of neutrino mass splittings and mixing angles indicates that their family structure is significantly different from that of the charged fermions we investigate the implications of these data for the fermion mass matrices in grand unified theories with a typei seesaw mechanism we show that with simple assumptions naturalness leads to a strongly hierarchical majorana mass matrix for heavy righthanded neutrinos and a partially cascade form for the dirac neutrino matrix we consider various model building scenarios which could alter this conclusion and discuss their consequences for the construction of a natural model we find that including partially lopsided matrices can aid us in generating a satisfying model | [['the', 'observed', 'pattern', 'of', 'neutrino', 'mass', 'splittings', 'and', 'mixing', 'angles', 'indicates', 'that', 'their', 'family', 'structure', 'is', 'significantly', 'different', 'from', 'that', 'of', 'the', 'charged', 'fermions', 'we', 'investigate', 'the', 'implications', 'of', 'these', 'data', 'for', 'the', 'fermion', 'mass', 'matrices', 'in', 'grand', 'unified', 'theories', 'with', 'a', 'typei', 'seesaw', 'mechanism', 'we', 'show', 'that', 'with', 'simple', 'assumptions', 'naturalness', 'leads', 'to', 'a', 'strongly', 'hierarchical', 'majorana', 'mass', 'matrix', 'for', 'heavy', 'righthanded', 'neutrinos', 'and', 'a', 'partially', 'cascade', 'form', 'for', 'the', 'dirac', 'neutrino', 'matrix', 'we', 'consider', 'various', 'model', 'building', 'scenarios', 'which', 'could', 'alter', 'this', 'conclusion', 'and', 'discuss', 'their', 'consequences', 'for', 'the', 'construction', 'of', 'a', 'natural', 'model', 'we', 'find', 'that', 'including', 'partially', 'lopsided', 'matrices', 'can', 'aid', 'us', 'in', 'generating', 'a', 'satisfying', 'model']] | [-0.1087849894910841, 0.2511105334201643, -0.026982496417052037, 0.17262109469303544, -0.07106861869829732, -0.14730496450352507, 0.05012378128568499, 0.34017952061719725, -0.24086690152080747, -0.30899037470252394, 0.03878824896732899, -0.22637400637708, -0.1498416892068276, 0.142413542977207, 0.002977237617177469, 0.01827397154274959, 0.06436973871130429, -0.0258936984086963, -0.13961620041513229, -0.17919939825927989, 0.3888516332031236, 0.04587254544871079, 0.25817984111002973, 0.0661523789419113, 0.07737167158294134, -0.03153883309841894, -0.0006548714161187679, -0.06832582936496348, -0.07152912708294058, 0.08516304117317001, 0.1537222363440706, 0.12736089544807067, 0.1410024772578565, -0.41421416145120116, -0.214015979686624, 0.15966224942675178, 0.1411495256250271, 0.11996809349433091, -0.1530003930181936, -0.26030726839897333, 0.10190441599325487, -0.23297719756426574, -0.16394042670055553, -0.05710677308793943, -0.07665633961038144, -0.08245062588101572, -0.35656422424300044, 0.08073721439493736, 0.025096761167619948, -0.028674904609451424, -0.03317036712961691, -0.15968024697330957, -0.0195910536216337, 0.0615300765546324, 0.12241646117606275, -0.10029474823727264, 0.10143550882233424, -0.14183817075372482, -0.11299682805432124, 0.4329875057682747, -0.0704379673430545, -0.19799835739976113, 0.17649119802087815, -0.14266203712202138, -0.1712752418500279, 0.06398476222697813, 0.1829589274082635, 0.07220960537659692, -0.16746896600218591, 0.11256160115800076, -0.14900559022171037, 0.13676143085651166, 0.02856515227137385, 0.03593027494377918, 0.315254676583651, 0.17910127640861245, 0.05765158297527615, 0.04558607239511099, -0.04864856745074461, -0.08361741268445176, -0.29982155905449176, -0.1495982768322941, -0.09135784286804297, 0.051221140001707514, -0.09472744272319654, -0.1581026519657121, 0.4649790765608552, 0.17402567279416029, 0.2642909721932835, 0.07611532270937722, 0.2069397421725732, 0.0796651769406372, 0.0863328962754626, 0.017964994333483076, 0.23089356012726286, 0.1352599339584845, 0.055634279249798135, -0.23851248258011634, 0.015079894942139183, 0.078738152653583] |
711.1688 | Recent advances of NMR and NQR studies of YBa2Cu3O7-d and YBa2Cu4O8 | Some of recent advances in the NMR and NQR studies of high-Tc superconductors
YBa2Cu3O7-d and YBa2Cu4O8 are presented. The topics concerned are the
understanding of magnetic phase diagram, impurity substitution effects and
vortex core states in the mixed states.
| cond-mat.supr-con cond-mat.str-el | some of recent advances in the nmr and nqr studies of hightc superconductors yba2cu3o7d and yba2cu4o8 are presented the topics concerned are the understanding of magnetic phase diagram impurity substitution effects and vortex core states in the mixed states | [['some', 'of', 'recent', 'advances', 'in', 'the', 'nmr', 'and', 'nqr', 'studies', 'of', 'hightc', 'superconductors', 'yba2cu3o7d', 'and', 'yba2cu4o8', 'are', 'presented', 'the', 'topics', 'concerned', 'are', 'the', 'understanding', 'of', 'magnetic', 'phase', 'diagram', 'impurity', 'substitution', 'effects', 'and', 'vortex', 'core', 'states', 'in', 'the', 'mixed', 'states']] | [-0.19675773384574896, 0.24713937097635025, -0.010895663233569417, 0.050645798683548585, -0.05831124442510116, -0.12381379924810086, 0.08882402867460862, 0.35470277567704517, -0.20727219002751204, -0.2343167615815615, 0.0449257413796985, -0.396022227127105, -0.1174549255758906, 0.1863617580384016, 0.02043215214059903, 0.07277888666169766, -0.011157629247277211, -0.022434734775183294, -0.14893781625403044, -0.24606487193168738, 0.32533979512607825, -0.018464944892539047, 0.3807511523557015, 0.10632888867686956, -0.0801235894457652, -0.03224963642274722, 0.04825379478578002, 0.0380120527667877, -0.17939469214075077, 0.0949158144917769, 0.35533775365314424, -0.030633913012794577, 0.1743682787920802, -0.4803388169369636, -0.2649213544642314, -0.030975074244615357, 0.12857568493256202, 0.17462442075021756, -0.13333463422858563, -0.3372272251126094, 0.008703943676291367, -0.08895815608020012, -0.09479655417351004, -0.11480573442979501, -0.02283312260913543, 0.04390058962580485, -0.17609242628961325, 0.10043854557741912, 0.1129674728697118, 0.1958727934039556, -0.13888777742305627, -0.2285663563376054, 0.00027344246896413656, 0.023778298642868415, 0.034044536284338206, 0.04991537120002203, 0.14098478648333979, -0.15135113349279913, -0.15694504283750668, 0.30234052794866073, 0.04690345604784596, -0.018835902500611085, 0.140707208269025, -0.1995435806039052, -0.1645771433861974, 0.09525294138643986, 0.09513482661583485, 0.1277843677940277, -0.10269691084678738, 0.07590975360019514, -0.010174631069485959, 0.16067177291290882, -0.029215765931906227, 0.12356929721024174, 0.2612740396319005, 0.21189384998228306, -0.05663010931740969, 0.13598449654781666, -0.1201835658807212, -0.1067850110718073, -0.206684035463975, -0.1654903777421285, -0.16880412466633013, -0.05537406450662857, 0.036470111663593575, -0.18752556285844782, 0.4081691938141982, 0.11400739199075943, 0.17784816775850068, -0.20471117339837244, 0.1800036174364579, 0.034557145566512376, 0.02827616862188547, -0.016815789139423616, 0.21921009595807378, 0.29340689123058933, 0.18496967097505546, -0.3692385882903368, 0.10634387028105079, 0.02595520301316029] |
711.1689 | Extraction of alpha_s and m_Q from Onia | We briefly review how precise determinations of the strong coupling constant
and of the heavy quark masses may be obtained from heavy quarkonium. Such
determinations are competitive with heavy quark masses extraction from other
systems and give an accurate value for the strong coupling constant at a
relatively low energy scale. In particular we report about a recent
determination of $\als$ from $\Gamma(\Upsilon(1S) \to \gamma
X)/\Gamma(\Upsilon(1S) \to X)$ with CLEO data which includes color octet
contributions and avoids model dependence in the extraction. The obtained value
is $\als (M_{\Upsilon(1S)})= 0.184^{+0.015}_{-0.014}$, which corresponds to
$\als(M_Z) = 0.119^{+0.006}_{-0.005}$. Future prospects for more precise
extractions of the heavy quark masses and $\als$ are discussed.
| hep-ph hep-ex hep-lat | we briefly review how precise determinations of the strong coupling constant and of the heavy quark masses may be obtained from heavy quarkonium such determinations are competitive with heavy quark masses extraction from other systems and give an accurate value for the strong coupling constant at a relatively low energy scale in particular we report about a recent determination of als from gammaupsilon1s to gamma xgammaupsilon1s to x with cleo data which includes color octet contributions and avoids model dependence in the extraction the obtained value is als m_upsilon1s 01840015_0014 which corresponds to alsm_z 01190006_0005 future prospects for more precise extractions of the heavy quark masses and als are discussed | [['we', 'briefly', 'review', 'how', 'precise', 'determinations', 'of', 'the', 'strong', 'coupling', 'constant', 'and', 'of', 'the', 'heavy', 'quark', 'masses', 'may', 'be', 'obtained', 'from', 'heavy', 'quarkonium', 'such', 'determinations', 'are', 'competitive', 'with', 'heavy', 'quark', 'masses', 'extraction', 'from', 'other', 'systems', 'and', 'give', 'an', 'accurate', 'value', 'for', 'the', 'strong', 'coupling', 'constant', 'at', 'a', 'relatively', 'low', 'energy', 'scale', 'in', 'particular', 'we', 'report', 'about', 'a', 'recent', 'determination', 'of', 'als', 'from', 'gammaupsilon1s', 'to', 'gamma', 'xgammaupsilon1s', 'to', 'x', 'with', 'cleo', 'data', 'which', 'includes', 'color', 'octet', 'contributions', 'and', 'avoids', 'model', 'dependence', 'in', 'the', 'extraction', 'the', 'obtained', 'value', 'is', 'als', 'm_upsilon1s', '01840015_0014', 'which', 'corresponds', 'to', 'alsm_z', '01190006_0005', 'future', 'prospects', 'for', 'more', 'precise', 'extractions', 'of', 'the', 'heavy', 'quark', 'masses', 'and', 'als', 'are', 'discussed']] | [-0.05988674718066163, 0.2063988653733672, -0.04620458329806015, 0.0753187440745976, -0.07050232311843761, -0.1503560763850276, 0.07744391804472321, 0.34634016610327223, -0.18972898208580558, -0.30621053239862833, 0.05362450637233754, -0.3206919235044292, 0.031847688192058174, 0.1917931643658362, -0.004351125360422191, 0.057820492109195105, 0.08402414798647875, 0.023272933726686807, -0.11988350915988641, -0.2019267376645335, 0.32489374813047195, 0.05486104509660176, 0.21885151004507428, 0.15932396717724345, 0.019237102791001753, 0.02974333928321444, -0.08480220739064472, -0.04465142602899245, -0.13397884720110423, 0.1215947995938006, 0.16932537306011433, 0.06760001879994802, 0.16320528157853653, -0.3353939700694311, -0.13779030854902452, 0.07021285227189461, 0.10392359049015101, 0.16888855281285942, -0.11392433679998032, -0.26845695862457863, 0.08392946257067489, -0.18454889238678984, -0.15846247890232398, -0.11878663104559695, 0.03336176181744252, -0.014275037461803072, -0.35176523260417436, 0.13004344488006261, -0.06359615266056998, 0.009441760102553027, -0.01580007819880155, -0.27904712722769803, -0.0060762858328719934, 0.0764834257907101, 0.10676765304080965, 0.08762813688566287, 0.11261209203373818, -0.17525048043490166, -0.10065659388367619, 0.42329585426265287, -0.09872668616118885, -0.10369379448793119, 0.18493045211902687, -0.14027742655681713, -0.16056140208439457, 0.06420856084497202, 0.18470250062999272, 0.11494072524947115, -0.16867762767665442, 0.05894851131126329, -0.004409206241724037, 0.17793212424786317, 0.05401232306446348, 0.09856781556847549, 0.2471316268933671, 0.19635157684263374, -0.022328975654783704, 0.002313296957540193, -0.07313740490713999, -0.05089386653687273, -0.3397721709240051, -0.06836898208116292, -0.08677278738912372, 0.047064072802840244, -0.10746082485198886, -0.12347606486153034, 0.34828868971339294, 0.17620446531745118, 0.27585412130824155, 0.015574156113767198, 0.3021406952114332, 0.08019303495862655, 0.07016959946070399, 0.07249948082635889, 0.3141564501272071, 0.16314155279348294, 0.11969770282684337, -0.23112192080090088, 0.04809134071360209, 0.059639741078994814] |
711.169 | The effect of temperature and gas flow on the physical vapour growth of
mm-scale rubrene crystals for organic FETs | There has recently been significant interest in rubrene single-crystals grown
using physical vapour transport techniques due to their application in
high-mobility organic field-effect transistor (OFET) devices. Despite numerous
studies of the electrical properties of such crystals, there has only been one
study to date focussing on characterising and optimising the crystal growth as
a function of the relevant growth parameters. Here we present a study of the
dependence of the yield of useful crystals (defined as crystals with at least
one dimension of order 1 mm) on the temperature and volume flow of carrier gas
used in the physical vapour growth process.
| cond-mat.soft | there has recently been significant interest in rubrene singlecrystals grown using physical vapour transport techniques due to their application in highmobility organic fieldeffect transistor ofet devices despite numerous studies of the electrical properties of such crystals there has only been one study to date focussing on characterising and optimising the crystal growth as a function of the relevant growth parameters here we present a study of the dependence of the yield of useful crystals defined as crystals with at least one dimension of order 1 mm on the temperature and volume flow of carrier gas used in the physical vapour growth process | [['there', 'has', 'recently', 'been', 'significant', 'interest', 'in', 'rubrene', 'singlecrystals', 'grown', 'using', 'physical', 'vapour', 'transport', 'techniques', 'due', 'to', 'their', 'application', 'in', 'highmobility', 'organic', 'fieldeffect', 'transistor', 'ofet', 'devices', 'despite', 'numerous', 'studies', 'of', 'the', 'electrical', 'properties', 'of', 'such', 'crystals', 'there', 'has', 'only', 'been', 'one', 'study', 'to', 'date', 'focussing', 'on', 'characterising', 'and', 'optimising', 'the', 'crystal', 'growth', 'as', 'a', 'function', 'of', 'the', 'relevant', 'growth', 'parameters', 'here', 'we', 'present', 'a', 'study', 'of', 'the', 'dependence', 'of', 'the', 'yield', 'of', 'useful', 'crystals', 'defined', 'as', 'crystals', 'with', 'at', 'least', 'one', 'dimension', 'of', 'order', '1', 'mm', 'on', 'the', 'temperature', 'and', 'volume', 'flow', 'of', 'carrier', 'gas', 'used', 'in', 'the', 'physical', 'vapour', 'growth', 'process']] | [-0.10771037815378376, 0.1209554984599498, -0.048769655168357795, -0.07430809016465241, -0.002914341454229811, -0.1208025203908191, 0.057778248104595524, 0.3909311497848773, -0.21323534769608693, -0.28686963655419795, 0.1272200620196778, -0.28507557631853747, -0.1331953655462712, 0.2613039439653649, -0.006012215717312168, 0.13062868091533436, -0.06032650658002525, -0.049413914920068254, -0.048712748248933575, -0.2362956817754928, 0.2695757685156137, 0.05617744509614639, 0.3256298604412187, 0.10468549606408559, 0.13368939846187977, -0.042407066931071526, 0.04102867323101735, 0.03362587848495619, -0.219419426873655, 0.09836663586411662, 0.2500914988842994, -0.012431459028876442, 0.25147944031392827, -0.46383471483839495, -0.3011041297212097, 0.050778559746914635, 0.13139588051525802, 0.1037746182829484, -0.14985906896318363, -0.17167934798407278, 0.08400319580801342, -0.1348753068139594, -0.09930145335437926, -0.04590483883614926, 0.005364753675701863, 0.026690933400851803, -0.17408606795338438, 0.051076667575056064, 0.0032777839891530353, 0.11859537236502066, -0.05066931074871522, -0.15257791188481612, -0.059391352160852035, 0.1179121367361707, 0.04265712143130847, 0.005883590003256412, 0.21879942405183672, -0.1436363774370037, -0.1161736766168592, 0.3917367421227562, -0.04313415621964298, -0.12380257674821597, 0.2308885638542729, -0.20387708087104792, -0.12733366924758052, 0.14770752169630108, 0.18257784049937448, 0.12300258834718489, -0.15398545634439764, 0.09510512185150612, -0.020255944413114704, 0.1954350759293519, 0.12239679981333514, 0.11876641307026148, 0.22648745281484856, 0.2715149150029117, 0.008532066144706571, 0.12454758091845695, -0.09076942745413558, -0.026014092725281622, -0.17637999515122205, -0.22501653393527365, -0.20927889712666178, 0.10385014106834527, -0.05699748160544664, -0.1958701421196262, 0.3982119178764668, 0.12822564726001492, 0.17339445656968974, -0.0897414311492706, 0.2456945913168145, 0.10924907275429908, 0.133002404984105, -0.017526270602555835, 0.22826712764457197, 0.1737329440634223, 0.12514719136022762, -0.21844199146303878, 0.14813638550192848, -0.019873026340706822] |
711.1691 | Bounding Multiplicity by Shifts in the Taylor Resolution | A weaker form of the multiplicity conjecture of Herzog, Huneke, and
Srinivasan is proven for two classes of monomial ideals: quadratic monomial
ideals and squarefree monomial ideals with sufficiently many variables relative
to the Krull dimension. It is also shown that tensor products, as well as
Stanley-Reisner ideals of certain unions, satisfy the multiplicity conjecture
if all the components do. Conditions under which the bounds are achieved are
also studied.
| math.AC | a weaker form of the multiplicity conjecture of herzog huneke and srinivasan is proven for two classes of monomial ideals quadratic monomial ideals and squarefree monomial ideals with sufficiently many variables relative to the krull dimension it is also shown that tensor products as well as stanleyreisner ideals of certain unions satisfy the multiplicity conjecture if all the components do conditions under which the bounds are achieved are also studied | [['a', 'weaker', 'form', 'of', 'the', 'multiplicity', 'conjecture', 'of', 'herzog', 'huneke', 'and', 'srinivasan', 'is', 'proven', 'for', 'two', 'classes', 'of', 'monomial', 'ideals', 'quadratic', 'monomial', 'ideals', 'and', 'squarefree', 'monomial', 'ideals', 'with', 'sufficiently', 'many', 'variables', 'relative', 'to', 'the', 'krull', 'dimension', 'it', 'is', 'also', 'shown', 'that', 'tensor', 'products', 'as', 'well', 'as', 'stanleyreisner', 'ideals', 'of', 'certain', 'unions', 'satisfy', 'the', 'multiplicity', 'conjecture', 'if', 'all', 'the', 'components', 'do', 'conditions', 'under', 'which', 'the', 'bounds', 'are', 'achieved', 'are', 'also', 'studied']] | [-0.19953535470413045, 0.08099096279724367, -0.03121959918311664, 0.10882002947120262, -0.05086937598285398, -0.205865515921531, -0.16386715817664352, 0.2867462045912232, -0.3746320632352893, -0.1825923254713416, 0.11341628834073032, -0.2430441517316337, -0.07371153247409633, 0.21048754332420816, -0.13627421982320292, 0.06140202160126396, 0.08068781187425235, 0.0682756684454424, -0.023580753726751676, -0.45610472525336915, 0.41159401573240756, 0.023690317424812486, 0.2246494386212102, 0.10658396534605084, 0.051591185094522575, -0.02882470427347081, 0.005703027160572154, 0.04494598211188402, -0.20795762422213945, 0.09166885883148228, 0.3270473714917898, 0.1309503140360383, 0.23270761437181917, -0.36265962042920624, -0.03147960180815842, 0.28166581796748297, 0.1279137025853353, -0.049168991172752745, 0.044954197428056175, -0.1525915509755058, 0.16199887130974924, -0.20302765893616848, -0.19705189877588833, -0.15850174911320208, 0.09159224403223822, 0.07314344410801173, -0.3552078228244292, -0.019769058690040506, 0.21763003684599036, 0.19228191342470902, -0.030552254697041852, -0.1690978684795222, -0.12618919640579926, -0.027944798296916165, 0.003935867887256401, -0.05520982198816325, 0.03472704137675464, -0.13261883850874645, -0.16324122389778495, 0.336849124722981, 0.010299742767321212, -0.2279972576203623, 0.1574780930365835, -0.20943362710199187, -0.16836360464138644, 0.10087635630874761, -0.03188216688909701, 0.1603010260766106, -0.01661409485552992, 0.17898199789591931, -0.2129001376751278, 0.001621882537645953, 0.22096001195854376, 0.10327062030056758, 0.12378661440618868, -0.009113223546280226, 0.06720161630728398, 0.16493968210582222, 0.06264144232762711, 0.025271069386508315, -0.31012129304664476, -0.1597777571595673, -0.15966087486428607, 0.11180814942843946, -0.13007606597176555, -0.1671474475209834, 0.3898777230343382, 0.0778307803374316, 0.15318934370713708, 0.15811765356421736, 0.22431378766362156, 0.03417665628117642, 0.05833112037674125, 0.10628520261629351, 0.14594662810143616, 0.2814198193007282, -0.037543713527598555, -0.09415198288458798, 0.08710864319998239, 0.2282640380784869] |
711.1692 | Penumbral models in the light of Hinode spectropolarimetric observations | The realism of current models of the penumbra is assessed by comparing their
predictions with the plasma properties of penumbral filaments as retrieved from
spectropolarimetric observations. The spectropolarimeter onboard Hinode allows
us to distinguish for the first time the fine structure of the penumbra.
Therefore, we can use one-component inversions to obtain the stratifications of
plasma parameters in each pixel. The correlations between the plasma parameters
and the continuum intensity are studied. We find that, in the outer penumbra,
the stronger flows and higher values of magnetic field inclination tend to be
located in dark filaments. This finding does not seem to be compatible with the
scenario of a field-free gappy penumbra.
| astro-ph | the realism of current models of the penumbra is assessed by comparing their predictions with the plasma properties of penumbral filaments as retrieved from spectropolarimetric observations the spectropolarimeter onboard hinode allows us to distinguish for the first time the fine structure of the penumbra therefore we can use onecomponent inversions to obtain the stratifications of plasma parameters in each pixel the correlations between the plasma parameters and the continuum intensity are studied we find that in the outer penumbra the stronger flows and higher values of magnetic field inclination tend to be located in dark filaments this finding does not seem to be compatible with the scenario of a fieldfree gappy penumbra | [['the', 'realism', 'of', 'current', 'models', 'of', 'the', 'penumbra', 'is', 'assessed', 'by', 'comparing', 'their', 'predictions', 'with', 'the', 'plasma', 'properties', 'of', 'penumbral', 'filaments', 'as', 'retrieved', 'from', 'spectropolarimetric', 'observations', 'the', 'spectropolarimeter', 'onboard', 'hinode', 'allows', 'us', 'to', 'distinguish', 'for', 'the', 'first', 'time', 'the', 'fine', 'structure', 'of', 'the', 'penumbra', 'therefore', 'we', 'can', 'use', 'onecomponent', 'inversions', 'to', 'obtain', 'the', 'stratifications', 'of', 'plasma', 'parameters', 'in', 'each', 'pixel', 'the', 'correlations', 'between', 'the', 'plasma', 'parameters', 'and', 'the', 'continuum', 'intensity', 'are', 'studied', 'we', 'find', 'that', 'in', 'the', 'outer', 'penumbra', 'the', 'stronger', 'flows', 'and', 'higher', 'values', 'of', 'magnetic', 'field', 'inclination', 'tend', 'to', 'be', 'located', 'in', 'dark', 'filaments', 'this', 'finding', 'does', 'not', 'seem', 'to', 'be', 'compatible', 'with', 'the', 'scenario', 'of', 'a', 'fieldfree', 'gappy', 'penumbra']] | [-0.11372998965297094, 0.15620710482887393, -0.07040881126886234, 0.0882540760680318, -0.10039812561340763, -0.08308606689180513, -0.01756217514671984, 0.4367055046771254, -0.22573465641055787, -0.35171889224355773, 0.06313145591515681, -0.21700022016856174, -0.054668776175406365, 0.16067002638426078, -0.03189229087937357, -0.003113061603211723, 0.06742185056594151, -0.022048431818672855, -0.03882034712296445, -0.18366464156549359, 0.2841774396116047, 0.13550881292654335, 0.2259601993220193, -0.010387159476522356, 0.018688600053012903, -0.12496504028760162, -0.04616752812372787, 0.06362064393968987, -0.14567695769431208, 0.09644346359917629, 0.19832236709917847, 0.09622181320238658, 0.19973890996750146, -0.5060377349977249, -0.21268007787044294, 0.039351718159325956, 0.16218209060025401, 0.03401232518704741, 0.04020621464587748, -0.2963432200735302, 0.06472991147477712, -0.07554985226930253, -0.1438525167717931, 0.0024790545493098243, -0.021667611023336315, 0.030778040693673705, -0.2929883848851854, 0.06858410600606087, -0.012674092947106277, 0.08703643965626336, -0.11516373516860767, -0.06022108824773958, -0.09860566812234797, 0.14718750346634937, 0.08037826425321068, 0.019978262367658317, 0.18050319410342905, -0.16445524522194838, -0.06686099131184164, 0.37146468376574504, -0.07571033939685938, -0.0886160804267482, 0.1671385574487171, -0.25440514705925515, -0.11783126789876926, 0.15605422396661847, 0.11078928796840566, 0.08312401276115063, -0.07985884994403543, 0.0037590215849507202, -0.1059635393820437, 0.18059000838547945, 0.0711456370731217, 0.010181004293761882, 0.28946056047529317, 0.084101142336814, 0.04474044313454734, 0.1259891036960263, -0.23608084299745055, -0.07648567009683964, -0.28408919459408416, -0.13535171588383882, -0.09983986506371625, -0.02402228348767364, -0.08096989207608983, -0.16399728683921108, 0.40495443232690115, 0.21793855528397085, 0.23634543169022695, 0.014667631821274492, 0.3189401246407734, 0.0833343401640637, 0.10224629185436893, 0.1026164415317388, 0.3139466274296865, 0.2121046220522008, 0.16969885968137532, -0.21996568238370987, 0.07585338413731993, 0.03241563060769944] |
711.1693 | Anomalous Transport Phenomena in Fermi Liquids with Strong Magnetic
Fluctuations | In many strongly correlated electron systems, remarkable violation of the
relaxation time approximation (RTA) is observed. The most famous example would
be high-Tc superconductors (HTSCs), and similar anomalous transport phenomena
have been observed in metals near their antiferromagnetic (AF) quantum critical
point (QCP). Here, we develop a transport theory involving resistivity and Hall
coefficient on the basis of the microscopic Fermi liquid theory, by considering
the current vertex correction (CVC). In nearly AF Fermi liquids, the CVC
accounts for the significant enhancements in the Hall coefficient,
magnetoresistance, thermoelectric power, and Nernst coefficient in nearly AF
metals. According to the numerical study, aspects of anomalous transport
phenomena in HTSC are explained in a unified way by considering the CVC,
without introducing any fitting parameters; this strongly supports the idea
that HTSCs are Fermi liquids with strong AF fluctuations. In addition, the
striking \omega-dependence of the AC Hall coefficient and the remarkable
effects of impurities on the transport coefficients in HTSCs appear to fit
naturally into the present theory. The present theory also explains very
similar anomalous transport phenomena occurring in CeCoIn5 and CeRhIn5, which
is a heavy-fermion system near the AF QCP, and in the organic superconductor
\kappa-(BEDT-TTF).
| cond-mat.str-el cond-mat.supr-con | in many strongly correlated electron systems remarkable violation of the relaxation time approximation rta is observed the most famous example would be hightc superconductors htscs and similar anomalous transport phenomena have been observed in metals near their antiferromagnetic af quantum critical point qcp here we develop a transport theory involving resistivity and hall coefficient on the basis of the microscopic fermi liquid theory by considering the current vertex correction cvc in nearly af fermi liquids the cvc accounts for the significant enhancements in the hall coefficient magnetoresistance thermoelectric power and nernst coefficient in nearly af metals according to the numerical study aspects of anomalous transport phenomena in htsc are explained in a unified way by considering the cvc without introducing any fitting parameters this strongly supports the idea that htscs are fermi liquids with strong af fluctuations in addition the striking omegadependence of the ac hall coefficient and the remarkable effects of impurities on the transport coefficients in htscs appear to fit naturally into the present theory the present theory also explains very similar anomalous transport phenomena occurring in cecoin5 and cerhin5 which is a heavyfermion system near the af qcp and in the organic superconductor kappabedtttf | [['in', 'many', 'strongly', 'correlated', 'electron', 'systems', 'remarkable', 'violation', 'of', 'the', 'relaxation', 'time', 'approximation', 'rta', 'is', 'observed', 'the', 'most', 'famous', 'example', 'would', 'be', 'hightc', 'superconductors', 'htscs', 'and', 'similar', 'anomalous', 'transport', 'phenomena', 'have', 'been', 'observed', 'in', 'metals', 'near', 'their', 'antiferromagnetic', 'af', 'quantum', 'critical', 'point', 'qcp', 'here', 'we', 'develop', 'a', 'transport', 'theory', 'involving', 'resistivity', 'and', 'hall', 'coefficient', 'on', 'the', 'basis', 'of', 'the', 'microscopic', 'fermi', 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711.1694 | Symmetry in quantum walks | A discrete-time quantum walk on a graph is the repeated application of a
unitary evolution operator to a Hilbert space corresponding to the graph.
Hitting times for discrete quantum walks on graphs give an average time before
the walk reaches an ending condition. We derive an expression for hitting time
using superoperators, and numerically evaluate it for the walk on the hypercube
for various coins and decoherence models. We show that, by contrast to
classical walks, quantum walks can have infinite hitting times for some initial
states. We seek criteria to determine if a given walk on a graph will have
infinite hitting times, and find a sufficient condition for their existence.
The phenomenon of infinite hitting times is in general a consequence of the
symmetry of the graph and its automorphism group. Symmetries of a graph, given
by its automorphism group, can be inherited by the evolution operator. Using
the irreducible representations of the automorphism group, we derive conditions
such that quantum walks defined on this graph must have infinite hitting times
for some initial states. Symmetry can also cause the walk to be confined to a
subspace of the original Hilbert space for certain initial states. We show that
a quantum walk confined to the subspace corresponding to this symmetry group
can be seen as a different quantum walk on a smaller quotient graph and we give
an explicit construction of the quotient graph. We conjecture that the
existence of a small quotient graph with finite hitting times is necessary for
a walk to exhibit a quantum speed-up. Finally, we use symmetry and the theory
of decoherence-free subspaces to determine when the subspace of the quotient
graph is a decoherence-free subspace of the dynamics.
| quant-ph | a discretetime quantum walk on a graph is the repeated application of a unitary evolution operator to a hilbert space corresponding to the graph hitting times for discrete quantum walks on graphs give an average time before the walk reaches an ending condition we derive an expression for hitting time using superoperators and numerically evaluate it for the walk on the hypercube for various coins and decoherence models we show that by contrast to classical walks quantum walks can have infinite hitting times for some initial states we seek criteria to determine if a given walk on a graph will have infinite hitting times and find a sufficient condition for their existence the phenomenon of infinite hitting times is in general a consequence of the symmetry of the graph and its automorphism group symmetries of a graph given by its automorphism group can be inherited by the evolution operator using the irreducible representations of the automorphism group we derive conditions such that quantum walks defined on this graph must have infinite hitting times for some initial states symmetry can also cause the walk to be confined to a subspace of the original hilbert space for certain initial states we show that a quantum walk confined to the subspace corresponding to this symmetry group can be seen as a different quantum walk on a smaller quotient graph and we give an explicit construction of the quotient graph we conjecture that the existence of a small quotient graph with finite hitting times is necessary for a walk to exhibit a quantum speedup finally we use symmetry and the theory of decoherencefree subspaces to determine when the subspace of the quotient graph is a decoherencefree subspace of the dynamics | [['a', 'discretetime', 'quantum', 'walk', 'on', 'a', 'graph', 'is', 'the', 'repeated', 'application', 'of', 'a', 'unitary', 'evolution', 'operator', 'to', 'a', 'hilbert', 'space', 'corresponding', 'to', 'the', 'graph', 'hitting', 'times', 'for', 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711.1695 | Minimum de Bruijn Sequence in a Language with Forbidden Substrings | Let be the following strategy to construct a walk in a labeled digraph: at
each vertex, we follow the unvisited arc of minimum label. In this work we
study for which languages, applying the previous strategy over the
corresponding de Bruijn graph, we finish with an Eulerian cycle, in order to
obtain the minimal de Bruijn sequence of the language.
| math.CO | let be the following strategy to construct a walk in a labeled digraph at each vertex we follow the unvisited arc of minimum label in this work we study for which languages applying the previous strategy over the corresponding de bruijn graph we finish with an eulerian cycle in order to obtain the minimal de bruijn sequence of the language | [['let', 'be', 'the', 'following', 'strategy', 'to', 'construct', 'a', 'walk', 'in', 'a', 'labeled', 'digraph', 'at', 'each', 'vertex', 'we', 'follow', 'the', 'unvisited', 'arc', 'of', 'minimum', 'label', 'in', 'this', 'work', 'we', 'study', 'for', 'which', 'languages', 'applying', 'the', 'previous', 'strategy', 'over', 'the', 'corresponding', 'de', 'bruijn', 'graph', 'we', 'finish', 'with', 'an', 'eulerian', 'cycle', 'in', 'order', 'to', 'obtain', 'the', 'minimal', 'de', 'bruijn', 'sequence', 'of', 'the', 'language']] | [-0.10405524775075416, 0.0983600496937773, -0.10870982092649986, 0.029034122364828364, -0.13477741222983847, -0.12201848672702909, 0.07102406934718601, 0.3790227745232793, -0.2890142369316891, -0.31398443166787426, 0.05109488786547445, -0.27397061375280224, -0.1308375207396845, 0.09897999279201031, -0.16331057383989295, -0.03186937166998784, 0.10764459494967013, 0.1296470288497706, 0.032263856606247525, -0.2866395439123153, 0.3033582531536619, 0.029928758546399575, 0.18172564559305707, -0.05128386498739322, 0.09785692720518759, 0.059635953069664537, -0.04257297375394652, 0.0338391974917613, -0.21990575060869258, 0.1268318301687638, 0.29500126547257727, 0.17379942806437612, 0.26056054756045344, -0.4016669362783432, -0.16195572200231254, 0.19818018747804064, 0.12176657831296325, 0.1623001608978181, 0.03988062385469675, -0.2521060397227605, 0.17074595463151734, -0.16779515214536028, -0.07558342140788833, 0.03790741766182085, 0.034063994977623226, 0.0007450154943702121, -0.24652387647074647, -0.04564096311417719, 0.09183750771917402, 0.06465677685725192, 0.013890141986000042, -0.09578785250584285, -0.016589715882825356, 0.12835613819158123, -0.07062884642121693, 0.12999073516499873, 0.007945654975871245, -0.06824397332578276, -0.2261932457331568, 0.32147604937199503, -0.07661155893195731, -0.15297959869106612, 0.10758106924283008, -0.11743915469075243, -0.20763116963207723, 0.07775931015203241, 0.13276310780008013, 0.1472843040712178, -0.10127601803590854, 0.10059116027938823, -0.04211521715236207, 0.12559748803420615, 0.17418471767256657, -0.05608742859524985, 0.17725596468274793, 0.17230332316830754, 0.16008528711584707, 0.17508179452076245, 0.00023183277808129786, -0.057735557792087396, -0.28792287670075895, -0.17024588999338447, -0.20679764561743166, 0.033419253944884986, -0.15718140250537543, -0.22379496709133187, 0.460192546248436, 0.16255766665562987, 0.2002549742969374, 0.17867450587024603, 0.19435260860870282, 0.09187723556533456, 0.03430032447989409, 0.11438629350159317, 0.05214362142141908, 0.07907363548874854, 0.08217623001546599, -0.2120499811756114, 0.019795382484638444, 0.1988654859829694] |
711.1696 | Cosmic Microwave Background--Weak Lensing Correlation: Analytical and
Numerical Study of Non-linearity and Implications for Dark Energy | Non-linear evolution of density fluctuations yields secondary anisotropies in
the cosmic microwave background (CMB), which are correlated with the same
density fluctuations that can be measured by weak lensing (WL) surveys. We
study the CMB-WL correlation using analytical models as well as $N$-body
simulations. We show that an analytical model based upon the time derivative of
non-linear matter power spectrum agrees with simulations. All-sky
cosmic-variance limited CMB and WL surveys allow us to measure the correlation
from non-linearity with high significance ($50\sigma$) for $l_{\rm max}=10^4$,
whereas the forthcoming missions such as Planck and LSST are expected to yield
only marginal detections. The CMB-WL correlation is sensitive to the time
derivative of structure growth. We study how this property may be used to
constrain the nature of dark energy. While the expected constraints are not
very strong, they may provide a cross check of results from other observations.
| astro-ph | nonlinear evolution of density fluctuations yields secondary anisotropies in the cosmic microwave background cmb which are correlated with the same density fluctuations that can be measured by weak lensing wl surveys we study the cmbwl correlation using analytical models as well as nbody simulations we show that an analytical model based upon the time derivative of nonlinear matter power spectrum agrees with simulations allsky cosmicvariance limited cmb and wl surveys allow us to measure the correlation from nonlinearity with high significance 50sigma for l_rm max104 whereas the forthcoming missions such as planck and lsst are expected to yield only marginal detections the cmbwl correlation is sensitive to the time derivative of structure growth we study how this property may be used to constrain the nature of dark energy while the expected constraints are not very strong they may provide a cross check of results from other observations | [['nonlinear', 'evolution', 'of', 'density', 'fluctuations', 'yields', 'secondary', 'anisotropies', 'in', 'the', 'cosmic', 'microwave', 'background', 'cmb', 'which', 'are', 'correlated', 'with', 'the', 'same', 'density', 'fluctuations', 'that', 'can', 'be', 'measured', 'by', 'weak', 'lensing', 'wl', 'surveys', 'we', 'study', 'the', 'cmbwl', 'correlation', 'using', 'analytical', 'models', 'as', 'well', 'as', 'nbody', 'simulations', 'we', 'show', 'that', 'an', 'analytical', 'model', 'based', 'upon', 'the', 'time', 'derivative', 'of', 'nonlinear', 'matter', 'power', 'spectrum', 'agrees', 'with', 'simulations', 'allsky', 'cosmicvariance', 'limited', 'cmb', 'and', 'wl', 'surveys', 'allow', 'us', 'to', 'measure', 'the', 'correlation', 'from', 'nonlinearity', 'with', 'high', 'significance', '50sigma', 'for', 'l_rm', 'max104', 'whereas', 'the', 'forthcoming', 'missions', 'such', 'as', 'planck', 'and', 'lsst', 'are', 'expected', 'to', 'yield', 'only', 'marginal', 'detections', 'the', 'cmbwl', 'correlation', 'is', 'sensitive', 'to', 'the', 'time', 'derivative', 'of', 'structure', 'growth', 'we', 'study', 'how', 'this', 'property', 'may', 'be', 'used', 'to', 'constrain', 'the', 'nature', 'of', 'dark', 'energy', 'while', 'the', 'expected', 'constraints', 'are', 'not', 'very', 'strong', 'they', 'may', 'provide', 'a', 'cross', 'check', 'of', 'results', 'from', 'other', 'observations']] | [-0.10053367223207878, 0.10419246435497508, -0.10982868502918018, 0.14581287855422762, -0.10095420741310267, -0.0814372603466562, -0.0364989218882553, 0.359367756833233, -0.23446269463492583, -0.35180515466155865, 0.08962659150352446, -0.34767317917351037, -0.08418872024647076, 0.21928976491980307, 0.045939175721436534, 0.055267201490183555, 0.039414419027121915, -0.05225726773253521, -0.06101672557957649, -0.2461260529952634, 0.25570587584372506, 0.21096669309708763, 0.25488672507544086, 0.030385918578783637, 0.039003572598967244, -0.04810535673160514, -0.11014681055261562, 0.07462718634394137, -0.15719694969587567, 0.046317865946074975, 0.2351304119103638, 0.13021974671912723, 0.16809275629292306, -0.40671803678022317, -0.2381270307958228, 0.13128690937954984, 0.12734738397268477, 0.09345948390027968, -0.02125624070352275, -0.28289290009806417, 0.05172808307174383, -0.16209362416642986, -0.11260908130518071, -0.0874664525625819, -0.03400258034824917, 0.08732569033809466, -0.27899170457903766, 0.1647603085538857, -0.016425134485734193, -0.011742150174989684, -0.07270005557284219, -0.07329947145796087, -0.04758094041289328, 0.07825312709391168, 0.0455685996271874, 0.04946052333761058, 0.12716629254083112, -0.15164605840523918, -0.08030242853509326, 0.3825339188620652, -0.15753369528340966, -0.11258520644432418, 0.1652709582664251, -0.21917549436688677, -0.16899788032496374, 0.10166346533701907, 0.16631242904249158, 0.04047983269992983, -0.14448057961600755, 0.07545419844833828, 0.03920182519215988, 0.24583049210375302, 0.03336619503703606, 0.08175137576213336, 0.3037958577696285, 0.09516065120330233, 0.09453444448235916, 0.0807061426158937, -0.16068095689294987, -0.014674577916245142, -0.28101362229631066, -0.06319596493706005, -0.1882488302414446, 0.09424859594263867, -0.10143752131361533, -0.1334890619028768, 0.3326572997731552, 0.1858010358250483, 0.20332793957132794, 0.10128675065121345, 0.32006228586965024, 0.13283159416758977, 0.06132236827716665, 0.005337466007379228, 0.3272385447005397, 0.1296859253644433, 0.08623204545408156, -0.21020627543904297, 0.07424465200723443, -0.026590931908648512] |
711.1697 | Bethe Ansatz Equations for General Orbifolds of N=4 SYM | We consider the Bethe Ansatz Equations for orbifolds of N =4 SYM w.r.t. an
arbitrary discrete group. Techniques used for the Abelian orbifolds can be
extended to the generic non-Abelian case with minor modifications. We show how
to make a transition between the different notations in the quiver gauge
theory.
| hep-th | we consider the bethe ansatz equations for orbifolds of n 4 sym wrt an arbitrary discrete group techniques used for the abelian orbifolds can be extended to the generic nonabelian case with minor modifications we show how to make a transition between the different notations in the quiver gauge theory | [['we', 'consider', 'the', 'bethe', 'ansatz', 'equations', 'for', 'orbifolds', 'of', 'n', '4', 'sym', 'wrt', 'an', 'arbitrary', 'discrete', 'group', 'techniques', 'used', 'for', 'the', 'abelian', 'orbifolds', 'can', 'be', 'extended', 'to', 'the', 'generic', 'nonabelian', 'case', 'with', 'minor', 'modifications', 'we', 'show', 'how', 'to', 'make', 'a', 'transition', 'between', 'the', 'different', 'notations', 'in', 'the', 'quiver', 'gauge', 'theory']] | [-0.12375675023533404, 0.1544291574813542, -0.10065676813945174, 0.13039479615166782, -0.10255172373726965, -0.17551072406582535, -0.03403194637270644, 0.3759296633861959, -0.2304839784093201, -0.2655396763980389, 0.06819880843861029, -0.2320819653570652, -0.16881442922633141, 0.09741171183530241, -0.07899774285033345, -0.0005647904425859451, -0.007120915288105607, 0.06294389466289431, -0.16945573817472906, -0.296659716819413, 0.3360706145036966, -0.06908265247941017, 0.2764604491344653, 0.055513536632061, 0.06692267749458551, 0.04512003517709672, -0.008255697824060916, 0.008889652006328106, -0.11633999267593026, 0.09482169740833342, 0.31367553643882273, 0.058540690522640944, 0.08073816390708088, -0.4860460178554058, -0.1907336424663663, 0.15069162517320364, 0.16697375426068903, 0.1471061329357326, 0.027022841684520245, -0.271027170708403, 0.07501957044878509, -0.24347952477633952, -0.20633373788790776, -0.09918749263510108, 0.02366858229972422, -0.024022510163486003, -0.2628773686476052, -0.019087042137980462, 0.03014820525422692, 0.06792922221124172, -0.013100686352699994, -0.0717162973806262, -0.038437111359089615, 0.0921349069941789, 0.04621497053885833, 0.020208459440618755, 0.07475446408614517, -0.1405046049132943, -0.18115690395236014, 0.3905810044705868, -0.09717715637758374, -0.3007283763214946, 0.15379645144566895, -0.0907141476124525, -0.2358441217429936, 0.07967554643750191, 0.10934562999755144, 0.16825949598103762, -0.05879941495135427, 0.20124648964032532, -0.06442973889410496, 0.12720431407913566, 0.07272981325164438, -0.045951178083196285, 0.13901876902207733, 0.06339744688943029, 0.0355372083093971, 0.16499904707772658, 0.043993114044424145, -0.09708474218845367, -0.38664126124233006, -0.13385132331168278, -0.06566339464858174, 0.13592254089191555, -0.16866712518502028, -0.1701482970826328, 0.3467859891243279, 0.15381090116687118, 0.14812481483444573, 0.08307126868516207, 0.16746592665091156, 0.10672381339594722, 0.063440365139395, 0.05099093869328499, 0.13845661479281263, 0.2219888409227133, -0.012839174885302783, -0.2187775165750645, -0.12669012327678503, 0.2100282343290746] |
711.1698 | On dual quadri-algebras | This paper has been withdrawn
| math.QA math.CO | this paper has been withdrawn | [['this', 'paper', 'has', 'been', 'withdrawn']] | [-0.14966976195573806, -0.11479587350040674, -0.26925536394119265, -0.2174653896363452, -0.24278417900204657, -0.06483052410185337, -0.18645338097121567, 0.4360402226448059, -0.2831330731511116, -0.34362963438034055, 0.12004837393760681, -0.3683081828057766, -0.1602430183440447, -0.10558439195156097, -0.49794104844331744, 0.22114052325487138, 0.020489710569381713, -0.13509191051125527, -0.003394755348563194, -0.4261150062084198, 0.24723864942789078, 0.20099691897630692, 0.29493145644664764, 0.43429074883461, 0.01915901619940996, -0.230447637476027, -0.11513714343309403, 0.020372361689805985, -0.20633925572037698, 0.044814842939376834, 0.2428473174571991, 0.019041498890146613, 0.6547030150890351, -0.4033622771501541, -0.3201997369527817, 0.3520198702812195, 0.42603884935379027, 0.23336923271417617, -0.27920777946710584, -0.36215683072805405, 0.36309435218572617, -0.5702161848545074, -0.1315121427178383, 0.06789367422461509, 0.22953803576529025, -0.3321428090333939, 0.017446409910917282, -0.028199871815741063, 0.24563229084014893, 0.3347385682165623, 0.15144075378775596, -0.2489987626671791, 0.17282117679715156, 0.24701693132519723, 0.3440325528383255, 0.20867147911339998, -0.13285142406821251, 0.07563621033914388, -0.044104534387588504, 0.3356690138578415, 0.23557274155318736, -0.24962785169482232, 0.046857850253582, 0.04556192234158516, -0.26518367901444434, 0.15704565420746802, 0.21749483253806828, 0.11799136139452457, -0.5040611356496811, 0.422764346562326, -0.18172579109668732, 0.19774497151374817, 0.28551970086991785, -0.06363286226987838, 0.07455872595310212, 0.30426284223794936, -0.09061564113944769, 0.28927659466862676, -0.06672459170222282, 0.09313873648643493, -0.03926684409379959, -0.2222803145647049, -0.3248200133442879, 0.10310854855924845, 0.5389873318374157, -0.09992984607815743, 0.42208007872104647, 0.27619058787822726, 0.03591356128454208, -0.16131918579339982, 0.3660829946398735, 0.27453771883156153, 0.06713124886155128, -0.09843106493353844, 0.49104041904211043, 0.10996200516819954, 0.28820077180862425, 0.10187920853495598, 0.42227696925401687, 0.2043190725147724] |
711.1699 | Remote extraction and destruction of spread qubit information | Necessary and sufficient conditions for deterministic remote extraction and
destruction of qubit information encoded in bipartite states using only local
operations and classical communications (LOCC) are presented. The conditions
indicate that there is a way to asymmetrically spread qubit information between
two parties such that it can be remotely extracted with unit probability at one
of the parties but not at the other as long as they are using LOCC. Remote
destruction can also be asymmetric between the two parties, but the conditions
are incompatible with those for remote extraction.
| quant-ph | necessary and sufficient conditions for deterministic remote extraction and destruction of qubit information encoded in bipartite states using only local operations and classical communications locc are presented the conditions indicate that there is a way to asymmetrically spread qubit information between two parties such that it can be remotely extracted with unit probability at one of the parties but not at the other as long as they are using locc remote destruction can also be asymmetric between the two parties but the conditions are incompatible with those for remote extraction | [['necessary', 'and', 'sufficient', 'conditions', 'for', 'deterministic', 'remote', 'extraction', 'and', 'destruction', 'of', 'qubit', 'information', 'encoded', 'in', 'bipartite', 'states', 'using', 'only', 'local', 'operations', 'and', 'classical', 'communications', 'locc', 'are', 'presented', 'the', 'conditions', 'indicate', 'that', 'there', 'is', 'a', 'way', 'to', 'asymmetrically', 'spread', 'qubit', 'information', 'between', 'two', 'parties', 'such', 'that', 'it', 'can', 'be', 'remotely', 'extracted', 'with', 'unit', 'probability', 'at', 'one', 'of', 'the', 'parties', 'but', 'not', 'at', 'the', 'other', 'as', 'long', 'as', 'they', 'are', 'using', 'locc', 'remote', 'destruction', 'can', 'also', 'be', 'asymmetric', 'between', 'the', 'two', 'parties', 'but', 'the', 'conditions', 'are', 'incompatible', 'with', 'those', 'for', 'remote', 'extraction']] | [-0.1480801960401651, 0.17954487779902087, -0.06460787271563377, 0.06140992606912429, 0.01976192185603496, -0.28957709886858035, 0.0661462748138648, 0.4285814252992471, -0.28961420806331767, -0.31172910230234263, 0.14460758399735724, -0.27340692796020044, -0.08676907749225696, 0.21364553552120924, -0.07482838701560265, 0.04657827016199008, 0.08337269693406092, 0.05710681191542082, -0.03881254876161822, -0.26650600410583947, 0.30268167813515495, 0.00656612529936764, 0.28350929917974604, 0.028289556539514, 0.045955618512299325, 0.018108686266673935, 0.00186276161370592, -0.023479407309140596, -0.04215543612194273, 0.08145583969114038, 0.32106088254497284, 0.18608757773828175, 0.22770265678150786, -0.4869332463170091, -0.18750230127738582, 0.1674451350337929, 0.11822008041975399, 0.14558889320534135, -0.024533937770562866, -0.33091778774849245, 0.03832742877097593, -0.1539554219175544, -0.03694591839771925, -0.09051798888378673, 0.0018897409447365338, 0.005261702310397394, -0.3096411561645154, 0.10915696778845611, 0.0236030460231834, 0.050761192907682724, 0.002648797346692946, -0.0038413372511665028, -0.07275397516787052, 0.23814153844594127, -0.07083698073660748, -0.012155374064524141, 0.16072165503477057, -0.07426128454454657, -0.13211767670388022, 0.3266166158589638, 0.012286348459828232, -0.20548446936170675, 0.24414461592807332, -0.13249699927659497, -0.11779791400767863, 0.02109621155800091, 0.08711240160175496, 0.0673809152484561, -0.19415247180602616, -0.042099850098990525, -0.0344577072498699, 0.17573999841180113, 0.11390649616821773, 0.17990912387613206, 0.21741779403398848, 0.049057042976427406, 0.1496990137319598, 0.12242135778910274, -0.04180050568862094, -0.1320675124362525, -0.30892864532846337, -0.1591015384791212, -0.23566858991980552, 0.033000877885206135, -0.05575623715558322, -0.05834139732954403, 0.32289142600364157, 0.10801743157401991, 0.17046683594170545, -0.03529189287477897, 0.3350244095859428, 0.05770460550815591, 0.09223811469661693, 0.14049741392955184, 0.2325324977023734, 0.10919006691805812, 0.059050013362947434, -0.16463377593706052, 0.137850845253302, -0.013980979136087828] |
711.17 | Edge Effects on the Electronic Structures of Chemically Modified
Armchair Graphene Nanoribbons | In this paper, we apply the first-principle theory to explore how the
electronic structures of armchair graphene nanoribbons (AGNRs) are affected by
chemical modifications. The edge addends include H, F, N, NH$_{2}$, and
NO$_{2}$. Our theoretical results show that the energy gaps are highly tunable
by controlling the widths of AGNRs and addends. The most interesting finding is
that N-passivated AGNRs with various widths are metallic due to the unique
electronic features of N-N bonds. This property change of AGNRs (from
semiconducting to metallic) is important in developing graphene-based devices.
| cond-mat.mtrl-sci cond-mat.other | in this paper we apply the firstprinciple theory to explore how the electronic structures of armchair graphene nanoribbons agnrs are affected by chemical modifications the edge addends include h f n nh_2 and no_2 our theoretical results show that the energy gaps are highly tunable by controlling the widths of agnrs and addends the most interesting finding is that npassivated agnrs with various widths are metallic due to the unique electronic features of nn bonds this property change of agnrs from semiconducting to metallic is important in developing graphenebased devices | [['in', 'this', 'paper', 'we', 'apply', 'the', 'firstprinciple', 'theory', 'to', 'explore', 'how', 'the', 'electronic', 'structures', 'of', 'armchair', 'graphene', 'nanoribbons', 'agnrs', 'are', 'affected', 'by', 'chemical', 'modifications', 'the', 'edge', 'addends', 'include', 'h', 'f', 'n', 'nh_2', 'and', 'no_2', 'our', 'theoretical', 'results', 'show', 'that', 'the', 'energy', 'gaps', 'are', 'highly', 'tunable', 'by', 'controlling', 'the', 'widths', 'of', 'agnrs', 'and', 'addends', 'the', 'most', 'interesting', 'finding', 'is', 'that', 'npassivated', 'agnrs', 'with', 'various', 'widths', 'are', 'metallic', 'due', 'to', 'the', 'unique', 'electronic', 'features', 'of', 'nn', 'bonds', 'this', 'property', 'change', 'of', 'agnrs', 'from', 'semiconducting', 'to', 'metallic', 'is', 'important', 'in', 'developing', 'graphenebased', 'devices']] | [-0.1564348438241927, 0.13966851636343583, -0.029444877921572226, -0.011198398343214159, -0.022891616736528245, -0.1924198666440972, 0.062349102423222884, 0.49136817934556626, -0.2824791746718935, -0.28604483466825625, -0.0405805058380997, -0.33684109443317306, -0.1887846497761274, 0.1430778257611595, 0.00894580781198201, 0.04202448441781067, 0.07883734265446998, -0.13833271762293375, -0.06438267274414387, -0.1882238699531371, 0.2708829219421644, 0.012178968763753269, 0.27862788037805075, 0.1787495372837849, -0.09477037815063187, -0.0417853719711806, 0.0735716453512733, 0.024019188048799385, -0.17975959545501713, 0.18676845741908202, 0.2927365848151025, -0.1123722033219391, 0.24195015230059122, -0.47238152294179026, -0.17395812200821853, 0.002779632576563385, 0.13723371431932607, 0.14085807113939625, -0.04995010191511907, -0.27068020555902317, 0.141115413878958, -0.09660211141650261, -0.13178353310609106, -0.08619571710528617, 0.03733114052166262, 0.03752429546851121, -0.1652187563458018, 0.05179037570984762, 0.01058329409249964, 0.02802819595737592, -0.0583642224038577, -0.21338784399578412, -0.12350346631857075, 0.06188288831225272, 0.029406061028444282, -0.03830490487868364, 0.2237753421120513, -0.12659239677942535, -0.1029418348975668, 0.4146717129212417, -0.021760282739787626, -0.10944981087166607, 0.1536737200463965, -0.1280378798190295, -0.11898774317769187, 0.1521712769649588, 0.0801991777745693, 0.07507019082419156, -0.13768507944671124, 0.10212915323627589, -0.019031278736721932, 0.12662872615050566, 0.0713949005872932, 0.15098280406928505, 0.18726152564357088, 0.1465165726003352, 0.05835730114721515, 0.12398376275282981, -0.06026474041524186, 0.010010919355776873, -0.20656266485163, -0.1836442599449767, -0.19160356159123143, 0.06591539699688889, -0.07851796593023935, -0.21561525705573933, 0.45505763626960893, 0.1738683051780243, 0.20025378455188167, -0.0362224593088868, 0.2075956453558769, 0.09925693040321257, 0.07352639332392745, 0.023084068704877843, 0.23617640769716058, 0.19010681243550576, 0.05171151002450438, -0.2598252347905942, 0.10706838834612223, -0.03305289475770479] |
711.1701 | On the de Rham and p-adic realizations of the Elliptic Polylogarithm for
CM elliptic curves | In this paper, we give an explicit description of the de Rham and p-adic
polylogarithms for elliptic curves using the Kronecker theta function. We prove
in particular that when the elliptic curve has complex multiplication and good
reduction at p, then the specializations to torsion points of the p-adic
elliptic polylogarithm are related to p-adic Eisenstein-Kronecker numbers,
proving a p-adic analogue of the result of Beilinson and Levin expressing the
complex elliptic polylogarithm in terms of Eisenstein-Kronecker-Lerch series.
Our result is valid even if the elliptic curve has supersingular reduction at
p.
| math.NT math.AG | in this paper we give an explicit description of the de rham and padic polylogarithms for elliptic curves using the kronecker theta function we prove in particular that when the elliptic curve has complex multiplication and good reduction at p then the specializations to torsion points of the padic elliptic polylogarithm are related to padic eisensteinkronecker numbers proving a padic analogue of the result of beilinson and levin expressing the complex elliptic polylogarithm in terms of eisensteinkroneckerlerch series our result is valid even if the elliptic curve has supersingular reduction at p | [['in', 'this', 'paper', 'we', 'give', 'an', 'explicit', 'description', 'of', 'the', 'de', 'rham', 'and', 'padic', 'polylogarithms', 'for', 'elliptic', 'curves', 'using', 'the', 'kronecker', 'theta', 'function', 'we', 'prove', 'in', 'particular', 'that', 'when', 'the', 'elliptic', 'curve', 'has', 'complex', 'multiplication', 'and', 'good', 'reduction', 'at', 'p', 'then', 'the', 'specializations', 'to', 'torsion', 'points', 'of', 'the', 'padic', 'elliptic', 'polylogarithm', 'are', 'related', 'to', 'padic', 'eisensteinkronecker', 'numbers', 'proving', 'a', 'padic', 'analogue', 'of', 'the', 'result', 'of', 'beilinson', 'and', 'levin', 'expressing', 'the', 'complex', 'elliptic', 'polylogarithm', 'in', 'terms', 'of', 'eisensteinkroneckerlerch', 'series', 'our', 'result', 'is', 'valid', 'even', 'if', 'the', 'elliptic', 'curve', 'has', 'supersingular', 'reduction', 'at', 'p']] | [-0.230948999800443, 0.018272289153153928, -0.22879428782878997, 0.0886520480015571, -0.11920652569240921, -0.11186857414585384, -0.033018427927835055, 0.23195540139472093, -0.34128676015617593, -0.2417058161777127, 0.027642812540212256, -0.2628752472578576, -0.1674276593468756, 0.29995801366845165, -0.17770561949442049, 0.08093994068606132, 0.01828135632408353, 0.09975883665822119, -0.0774369019615863, -0.3710528111678886, 0.41384671014416347, -0.061481073836458254, 0.16866182367436353, 0.06689154116211685, 0.0820340873049265, 0.09198338429412835, -0.000852218000115929, -0.1455542081148251, -0.13370983176495288, 0.1703888144200811, 0.4091972691380511, -0.017579264532017348, 0.16895288950507784, -0.3509888447780203, -0.12608883865075288, 0.22155428886577322, 0.1552507591198434, -0.0013476202371888435, 0.014487384278634255, -0.16779750946827315, 0.1034613132456338, -0.15388103152860652, -0.21273213087652737, -0.1213156527578626, 0.07134841609193565, 0.07319397958773342, -0.27643644911554327, 0.05042791707123947, 0.07643901679030322, 0.2396832846186973, -0.07100662135181356, -0.15028212858097895, -0.014560150535224558, 0.01013060155545955, 0.03836694580072967, 0.0899970194191805, 0.024597058308075417, -0.1106511911321022, -0.10601798627668849, 0.3415294297981066, -0.08511141352457824, -0.18864608977685918, 0.06178716444256869, -0.1807765098145375, -0.18233478750399018, 0.11903942620975304, 0.09828593348572542, 0.17469240933308725, 0.04423841357325168, 0.18395019344957342, -0.11693332354016192, 0.06973561184521723, 0.21006721805187537, -0.08682843353496966, 0.09190684669538514, -0.0012267000389868741, 0.00021156871302442236, 0.13510836081727726, 0.04266747779079846, -0.07205405250155869, -0.3751043715094636, -0.2326696717518044, -0.11718564619729807, 0.1287833648518874, -0.15684940819938764, -0.1792342603554601, 0.406940461310384, 0.035094277743905125, 0.19508757220918907, 0.13469652388408615, 0.21121465938759373, 0.1952041475617859, 0.0030780933224237883, 0.025104149295897275, 0.0907369673195817, 0.1982406869372046, 0.03502565093215678, -0.1632794477864281, -0.02353461196768906, 0.23177468183112668] |
711.1702 | Predominant Magnetic States in Hubbard Model on Anisotropic Triangular
Lattices | Using an optimization variational Monte Carlo method, we study the
half-filled-band Hubbard model on anisotropic triangular lattices, as a
continuation of the preceding study [J. Phys. Soc. Jpn 75, 074707 (2006)]. We
introduce two new trial states: (i) A coexisting state of
(\pi,\pi)-antiferromagnetic (AF) and a d-wave singlet gaps, in which we allow
for a band renormalization effect, and (ii) a state with an AF order of
120^\circ spin structure. In both states, a first-order metal-to-insulator
transition occurs at smaller U/t than that of the pure d-wave state. In
insulating regimes, magnetic orders always exist; an ordinary (\pi,\pi)-AF
order survives up to t'/t\sim 0.9 (U/t=12), and a 120^\circ-AF order becomes
dominant for t'/t \gsim 0.9. The regimes of the robust superconductor and of
the nonmagnetic insulator the preceding study proposed give way to these
magnetic domains.
| cond-mat.supr-con | using an optimization variational monte carlo method we study the halffilledband hubbard model on anisotropic triangular lattices as a continuation of the preceding study j phys soc jpn 75 074707 2006 we introduce two new trial states i a coexisting state of pipiantiferromagnetic af and a dwave singlet gaps in which we allow for a band renormalization effect and ii a state with an af order of 120circ spin structure in both states a firstorder metaltoinsulator transition occurs at smaller ut than that of the pure dwave state in insulating regimes magnetic orders always exist an ordinary pipiaf order survives up to ttsim 09 ut12 and a 120circaf order becomes dominant for tt gsim 09 the regimes of the robust superconductor and of the nonmagnetic insulator the preceding study proposed give way to these magnetic domains | [['using', 'an', 'optimization', 'variational', 'monte', 'carlo', 'method', 'we', 'study', 'the', 'halffilledband', 'hubbard', 'model', 'on', 'anisotropic', 'triangular', 'lattices', 'as', 'a', 'continuation', 'of', 'the', 'preceding', 'study', 'j', 'phys', 'soc', 'jpn', '75', '074707', '2006', 'we', 'introduce', 'two', 'new', 'trial', 'states', 'i', 'a', 'coexisting', 'state', 'of', 'pipiantiferromagnetic', 'af', 'and', 'a', 'dwave', 'singlet', 'gaps', 'in', 'which', 'we', 'allow', 'for', 'a', 'band', 'renormalization', 'effect', 'and', 'ii', 'a', 'state', 'with', 'an', 'af', 'order', 'of', '120circ', 'spin', 'structure', 'in', 'both', 'states', 'a', 'firstorder', 'metaltoinsulator', 'transition', 'occurs', 'at', 'smaller', 'ut', 'than', 'that', 'of', 'the', 'pure', 'dwave', 'state', 'in', 'insulating', 'regimes', 'magnetic', 'orders', 'always', 'exist', 'an', 'ordinary', 'pipiaf', 'order', 'survives', 'up', 'to', 'ttsim', '09', 'ut12', 'and', 'a', '120circaf', 'order', 'becomes', 'dominant', 'for', 'tt', 'gsim', '09', 'the', 'regimes', 'of', 'the', 'robust', 'superconductor', 'and', 'of', 'the', 'nonmagnetic', 'insulator', 'the', 'preceding', 'study', 'proposed', 'give', 'way', 'to', 'these', 'magnetic', 'domains']] | [-0.19034596009336355, 0.18370225867698634, -0.04577115761784424, 0.039543025259582594, -0.016070980412480316, -0.1523532283293325, 0.09918607101697503, 0.36353402377909605, -0.2324218453869636, -0.2756526313921195, 0.04285328091168421, -0.30663511597458987, -0.09682707393271778, 0.11415622135062652, 0.078574534765985, -0.015159117811508761, -0.009563378141908586, -0.042031706109970014, -0.16508569437761628, -0.2237389253431092, 0.2954378754668336, -0.01751033717211876, 0.27082903734306124, 0.02593704810693064, 0.034257677908034155, 0.0028461721114359283, 0.14620139864308915, 0.005825412054439537, -0.2045710950946895, 0.021842520284992537, 0.2517374473488854, -0.07434980514395328, 0.24416706097696175, -0.40249692455275365, -0.17528165131362994, 0.04766761450246261, 0.11043239496150659, 0.14787134200508728, -0.006371453767002539, -0.3342274053889604, 0.05637217398896415, -0.25015904264567235, -0.10299862526136784, -0.1182875674935982, 0.0005425302265567407, -0.08163443832473388, -0.32535338335899805, 0.12432437615810346, 0.08993588491940145, 0.07320103501431814, -0.05929859629512288, -0.1446186222121802, -0.05261663589288857, 0.025724966509111283, 0.006161372467008142, 0.10093382280497662, 0.03749723699057603, -0.11114902546067672, -0.15644658646965756, 0.3152702170182446, -0.05387231107511938, -0.06975194081692522, 0.19791846201605812, -0.13424541589178374, -0.0730872361152966, 0.17090912951149387, 0.12721288557526947, 0.12039469817710173, -0.09206872651014007, 0.07930434885690742, -0.024902981442918304, 0.18937752463406962, -0.011729103840091301, 0.023987245045687635, 0.17647920116846172, 0.1776495854093032, 0.0914042626457815, 0.1514156000859296, -0.14391854345151542, -0.13258075210059644, -0.26958407812133317, -0.17794729692449096, -0.1824305820063766, 0.050686739363800026, -0.0675431476343416, -0.18343177986978235, 0.416901525230865, 0.16993680020673413, 0.18846241066957475, -0.050749941031405885, 0.18089367301764947, 0.11118093104091054, -0.00032555181106538265, 0.1145194050383164, 0.23680574192713505, 0.15943668933073415, 0.10933192755728391, -0.2438244933812552, 0.01697945129481777, 0.06614433955898835] |
711.1703 | Probing the nucleon structure with CLAS | An overview of recent results with CLAS is presented with emphasis on nucleon
resonance studies, nucleon spin structure, and generalized parton
distributions.
| nucl-ex hep-lat hep-ph nucl-th | an overview of recent results with clas is presented with emphasis on nucleon resonance studies nucleon spin structure and generalized parton distributions | [['an', 'overview', 'of', 'recent', 'results', 'with', 'clas', 'is', 'presented', 'with', 'emphasis', 'on', 'nucleon', 'resonance', 'studies', 'nucleon', 'spin', 'structure', 'and', 'generalized', 'parton', 'distributions']] | [-0.04253961145877838, 0.21457857821224025, -0.11823672902855006, 0.08079342855754393, -0.1586385847661983, -0.018353062893517992, -0.10223535135049712, 0.4175864608789032, -0.04314069788564335, -0.23051035836000333, -0.06266569837250492, -0.36202884689820086, -0.059865048324519936, 0.17454980030147868, 0.08460304369641976, 0.14506408792327752, 0.18175933306867426, 0.0045668871184303, -0.07055904966017063, -0.16464398529338228, 0.42720102705061436, 0.14803953178290447, 0.2606000082398003, 0.23531119186769833, 0.09988681701096622, 0.16191076690500433, -0.11212269199842756, -0.09438920291987332, -0.19504245175895366, 0.13806351066821002, 0.2876723946114494, 0.04564575569450178, 0.061918974335474726, -0.4561936453154141, -0.1141865474849262, -0.07341433248736641, 0.07514173512093046, 0.10219572848555716, -0.11110661126440391, -0.37430557574738155, 0.012937891551039436, -0.3062489463270388, -0.18745236285030842, -0.15934099557555534, -0.02927560325373303, 0.09098237617449327, -0.2710647731516722, 0.016108609312637287, 0.016230812423269857, 0.1190163988027383, -0.06921430624259467, -0.4077642089263959, 0.05685849098319357, -0.07431800815869462, 0.1256013373653828, 0.1690802163529125, 0.15822363170710477, -0.19167318576100198, -0.2552611455321312, 0.2915870134126056, 0.04330548368902369, -0.2552921052344821, 0.04430144142613492, -0.2698150937953456, -0.18415341365405105, 0.08497155508534475, 0.20191894433545796, 0.047779025340622124, -0.20164912698039023, 0.08917598447243852, -0.08663382624614645, 0.1892263741994446, 0.02958408146249977, 0.09372577782381665, 0.15833459980785847, 0.29401523171162064, -0.046570363200523636, 0.05663712099406191, -0.10393212685911832, -0.18303261053833095, -0.3077273544940082, -0.01029990359463475, -0.15111864087256519, 0.07499955378642137, 0.0004473666413105093, -0.031245747200128706, 0.4267651670697061, 0.011937512137757783, 0.3085689080709761, -0.0613490246574987, 0.3221055419946259, 0.09798874820328572, 0.02488697885366326, 0.01602052222006023, 0.1530733070420948, 0.3193139422854239, 0.08937271813523363, -0.24454815247604114, 0.009897925155448982, -0.013134141960604624] |
711.1704 | New ammonia masers towards NGC6334I | We report the detection of new ammonia masers in the non-metastable (8,6) and
(11,9) transitions towards the massive star forming region NGC6334I.
Observations were made with the ATCA interferometer and the emitting region
appears unresolved in the 2.7" x 0.8" beam, with deconvolved sizes less than an
arcsecond. We estimate peak brightness temperatures of 7.8 x 10^5 and 1.2 x
10^5 K for the (8,6) and (11,9) transitions, respectively. The masers appear
coincident both spatially and in velocity with a previously detected ammonia
(6,6) maser. We also suggest that emission in the (10,9), (9,9) and (7,6)
transitions may also be masers, based on their narrow line widths and
overlapping velocity ranges with the above masers, as observed with the
single-dish Mopra radiotelescope.
| astro-ph | we report the detection of new ammonia masers in the nonmetastable 86 and 119 transitions towards the massive star forming region ngc6334i observations were made with the atca interferometer and the emitting region appears unresolved in the 27 x 08 beam with deconvolved sizes less than an arcsecond we estimate peak brightness temperatures of 78 x 105 and 12 x 105 k for the 86 and 119 transitions respectively the masers appear coincident both spatially and in velocity with a previously detected ammonia 66 maser we also suggest that emission in the 109 99 and 76 transitions may also be masers based on their narrow line widths and overlapping velocity ranges with the above masers as observed with the singledish mopra radiotelescope | [['we', 'report', 'the', 'detection', 'of', 'new', 'ammonia', 'masers', 'in', 'the', 'nonmetastable', '86', 'and', '119', 'transitions', 'towards', 'the', 'massive', 'star', 'forming', 'region', 'ngc6334i', 'observations', 'were', 'made', 'with', 'the', 'atca', 'interferometer', 'and', 'the', 'emitting', 'region', 'appears', 'unresolved', 'in', 'the', '27', 'x', '08', 'beam', 'with', 'deconvolved', 'sizes', 'less', 'than', 'an', 'arcsecond', 'we', 'estimate', 'peak', 'brightness', 'temperatures', 'of', '78', 'x', '105', 'and', '12', 'x', '105', 'k', 'for', 'the', '86', 'and', '119', 'transitions', 'respectively', 'the', 'masers', 'appear', 'coincident', 'both', 'spatially', 'and', 'in', 'velocity', 'with', 'a', 'previously', 'detected', 'ammonia', '66', 'maser', 'we', 'also', 'suggest', 'that', 'emission', 'in', 'the', '109', '99', 'and', '76', 'transitions', 'may', 'also', 'be', 'masers', 'based', 'on', 'their', 'narrow', 'line', 'widths', 'and', 'overlapping', 'velocity', 'ranges', 'with', 'the', 'above', 'masers', 'as', 'observed', 'with', 'the', 'singledish', 'mopra', 'radiotelescope']] | [-0.0927815593024773, 0.12736138876121525, 0.04878825643176182, -0.026378623038133393, -0.01664141439603733, -0.10623144661839747, 0.10673754436315083, 0.485859883933893, -0.07135303211627436, -0.38269881550108126, 0.0948252056291867, -0.2820048162133479, 0.025959677942246046, 0.12667503688087473, 0.036065206635925516, -0.045428892250218594, 0.02369447013546453, -0.12387033282601671, -0.06866979499759733, -0.17357765249984308, 0.17612473242229126, 0.07825741344360543, 0.19510906837025627, 0.041167769599448296, 0.08381805228848072, -0.22343182671799888, -0.07434820520432024, -0.0595309669342747, -0.13270584324256232, 0.04133292590649646, 0.2789592103246355, 0.07862303988840126, 0.16858747380510827, -0.28696025376299733, -0.17359869566948352, 0.03985512786789141, 0.16870172568367886, 0.02565901409300258, 0.027982073468652356, -0.3976005845346305, 0.03732518761058063, -0.13201459506373914, -0.190588776491674, 0.10302633976553792, 0.1028878304489018, 0.05533966356239541, -0.19064736292987575, 0.1538165029148823, -0.051568122169376944, 0.12402949244028232, -0.13203067499495372, -0.205719605782909, -0.05021653840409928, -0.005947063425097798, -0.09764030197116196, 0.15375133793129295, 0.19085311930870913, -0.06977446638017577, -0.07555193302878102, 0.3769355069265747, -0.13230170969735378, -0.012457435683454157, 0.2393566057044005, -0.30268826293110174, -0.239456707539159, 0.307553135270833, 0.11202104698072692, 0.1440923666489906, -0.10954019562990146, -0.09985427203403069, -0.03100573212255678, 0.2458753354816896, 0.12670151282056066, 0.09998197862344077, 0.28637349909385207, 0.04245322719063671, 0.033884730277827284, 0.13844372791173243, -0.39209333311606076, -0.04328316083506177, -0.2441500284562086, -0.10144092421549311, -0.0787416826876369, 0.09456631448215301, -0.10405304396563672, -0.03235559932292118, 0.3280738984925489, 0.10126228157533944, 0.2501059938851958, 0.01500289502255924, 0.21506154776901984, 0.03919579313025947, 0.0706194762777934, 0.1450183749853511, 0.3217564269854519, 0.18880855831218366, 0.11738169446495003, -0.1842198558075384, 0.01867379914906227, -0.07911324337292767] |
711.1705 | Fluid Motion Physics: The Total Head Vector of the Real Fluid Stream | The overcoming of a mechanics problem on origin of secondary jet flows, on
dynamics of its development and interaction with the main stream of the viscous
fluid is reached by means of elucidation of the energy distribution in the
stream at its interaction with the flow system walls and a body surface. In
contrast to a traditional conception on a total head of a fluid stream in a
pipe as a sum of a velocity head and a static pressure, it is ascertained that
this sum is only longitudinal component of the stream total head vector. It is
stated a new conception and it is produced the expressions for quantitative
evaluation of radial and tangential components of the stream total head vector
and for angle of its deflection from the stream axis. The new approach has
allowed rationally to explain the causes of origin of the secondary jet flows
and dynamics of its interaction with the main stream in various cases. Thereby
with the taking into account of previous articles of the author the necessary
theoretical preconditions has been created for a working out of the modern
physically valuable apparatus for mathematical modeling of the real - viscous -
fluid motion in any problems of hydromechanics and gas dynamics.
| physics.flu-dyn | the overcoming of a mechanics problem on origin of secondary jet flows on dynamics of its development and interaction with the main stream of the viscous fluid is reached by means of elucidation of the energy distribution in the stream at its interaction with the flow system walls and a body surface in contrast to a traditional conception on a total head of a fluid stream in a pipe as a sum of a velocity head and a static pressure it is ascertained that this sum is only longitudinal component of the stream total head vector it is stated a new conception and it is produced the expressions for quantitative evaluation of radial and tangential components of the stream total head vector and for angle of its deflection from the stream axis the new approach has allowed rationally to explain the causes of origin of the secondary jet flows and dynamics of its interaction with the main stream in various cases thereby with the taking into account of previous articles of the author the necessary theoretical preconditions has been created for a working out of the modern physically valuable apparatus for mathematical modeling of the real viscous fluid motion in any problems of hydromechanics and gas dynamics | [['the', 'overcoming', 'of', 'a', 'mechanics', 'problem', 'on', 'origin', 'of', 'secondary', 'jet', 'flows', 'on', 'dynamics', 'of', 'its', 'development', 'and', 'interaction', 'with', 'the', 'main', 'stream', 'of', 'the', 'viscous', 'fluid', 'is', 'reached', 'by', 'means', 'of', 'elucidation', 'of', 'the', 'energy', 'distribution', 'in', 'the', 'stream', 'at', 'its', 'interaction', 'with', 'the', 'flow', 'system', 'walls', 'and', 'a', 'body', 'surface', 'in', 'contrast', 'to', 'a', 'traditional', 'conception', 'on', 'a', 'total', 'head', 'of', 'a', 'fluid', 'stream', 'in', 'a', 'pipe', 'as', 'a', 'sum', 'of', 'a', 'velocity', 'head', 'and', 'a', 'static', 'pressure', 'it', 'is', 'ascertained', 'that', 'this', 'sum', 'is', 'only', 'longitudinal', 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'motion', 'in', 'any', 'problems', 'of', 'hydromechanics', 'and', 'gas', 'dynamics']] | [-0.15388969773331607, 0.08491683938621503, -0.13669300501815218, 0.00027886225958917167, -0.07705009403832005, -0.07302917518589988, 0.01512005976356278, 0.3231796664163326, -0.2842226130100516, -0.3012295887031669, 0.07839654842425353, -0.2565075039823094, -0.07668524235262027, 0.19263943166647485, -0.039906784158721925, 0.03999132095332199, 0.07119171004652401, 0.06370646227038677, -0.003117197483400072, -0.1712300053095796, 0.3079386779932746, 0.04790635645088114, 0.2423707621379031, 0.0713077164929954, 0.14053867073380388, 0.015424621241405641, -0.04155720032274651, 0.04355593499843927, -0.09254163119887539, 0.1249585180281288, 0.1677205628557423, 0.12083796138092336, 0.27788073077779896, -0.4360302548657581, -0.24415812976118448, 0.027526608272343153, 0.12243390204874205, 0.07745316121412288, -0.04520063844041512, -0.2562710006725817, 0.07081260190430831, -0.18567239749470302, 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711.1706 | Identification of a New Form of Electron Coupling in Bi2Sr2CaCu2O8
Superconductor by Laser-Based Angle-Resolved Photoemission | Laser-based angle-resolved photoemission measurements with super-high
resolution have been carried out on an optimally-doped
Bi$_2$Sr$_2$CaCu$_2$O$_8$ high temperature superconductor. New high energy
features at $\sim$115 meV and $\sim$150 meV, besides the prominent $\sim$70 meV
one, are found to develop in the nodal electron self-energy in the
superconducting state. These high energy features, which can not be attributed
to electron coupling with single phonon or magnetic resonance mode, point to
the existence of a new form of electron coupling in high temperature
superconductors.
| cond-mat.supr-con cond-mat.str-el | laserbased angleresolved photoemission measurements with superhigh resolution have been carried out on an optimallydoped bi_2sr_2cacu_2o_8 high temperature superconductor new high energy features at sim115 mev and sim150 mev besides the prominent sim70 mev one are found to develop in the nodal electron selfenergy in the superconducting state these high energy features which can not be attributed to electron coupling with single phonon or magnetic resonance mode point to the existence of a new form of electron coupling in high temperature superconductors | [['laserbased', 'angleresolved', 'photoemission', 'measurements', 'with', 'superhigh', 'resolution', 'have', 'been', 'carried', 'out', 'on', 'an', 'optimallydoped', 'bi_2sr_2cacu_2o_8', 'high', 'temperature', 'superconductor', 'new', 'high', 'energy', 'features', 'at', 'sim115', 'mev', 'and', 'sim150', 'mev', 'besides', 'the', 'prominent', 'sim70', 'mev', 'one', 'are', 'found', 'to', 'develop', 'in', 'the', 'nodal', 'electron', 'selfenergy', 'in', 'the', 'superconducting', 'state', 'these', 'high', 'energy', 'features', 'which', 'can', 'not', 'be', 'attributed', 'to', 'electron', 'coupling', 'with', 'single', 'phonon', 'or', 'magnetic', 'resonance', 'mode', 'point', 'to', 'the', 'existence', 'of', 'a', 'new', 'form', 'of', 'electron', 'coupling', 'in', 'high', 'temperature', 'superconductors']] | [-0.13175478811019364, 0.24425775248627035, -0.05287495619950839, 0.04178095278962527, -0.06536284008855288, -0.19166196119845097, 0.09377477294477968, 0.4126918516021199, -0.2175955864382379, -0.35432934066004773, -0.031740164141354645, -0.37934562214362766, 0.06068323072862386, 0.19151695478236141, 0.07420347373426696, 0.04502791392812391, -0.017381445105176096, -0.023831939663921976, -0.11095270138509848, -0.1506039647753408, 0.2880656584683392, 0.12870565309177762, 0.34107064909911083, 0.17552404194771323, 0.0802374424205886, -0.05922433703470929, 0.15202446740672546, -0.017699150615774185, -0.13874336918471036, 0.015846522391290852, 0.3372283549864351, -0.13292048281392105, 0.2232876320105092, -0.42496897013467033, -0.25100657562897716, -0.007350096157119598, 0.1598677550856438, 0.08276975057576495, -0.08096422669104082, -0.2535373489429921, 0.0688547173825403, -0.12866252903355124, -0.14832665172784967, -0.1558907825016865, -0.10784318053198082, -0.02764894420074092, -0.1842045234573752, 0.11975284898078736, -0.06607206653010238, 0.113118866228579, -0.09080500406914471, -0.13236085638219927, -0.043911220592067195, -0.04437385993020862, 0.04259310974911959, 0.08208741878883706, 0.12557695583543843, -0.08624857182350056, -0.09655292649511937, 0.3015490528885965, -0.07462289525816838, -0.04064121971159806, 0.1610098805675214, -0.23026736225518915, -0.0971952717906485, 0.2523130869239937, 0.08493564586603532, 0.09373641809747543, -0.14329377886620753, 0.02833944365862228, 0.009372292937319955, 0.222506178613755, 0.08084434590641593, 0.1317022455062855, 0.29002650294820836, 0.1803574014144639, 0.004469622009905216, 0.04383434809278697, -0.23011842108745542, 0.041927736057083546, -0.20138485545729412, -0.12203553686044927, -0.20115710517936272, 0.10300601332431895, -0.02776196184780098, -0.1488235795893419, 0.4176056365925175, 0.13139964235094262, 0.22224212437868118, -0.1372767852972848, 0.2609047698328433, 0.1722842095359401, 0.1167229624281143, 0.056285781509898325, 0.29828532851864525, 0.15349830967592604, 0.13594740567107996, -0.3050949563168817, -0.011978401986445173, -0.03733987043278269] |
711.1707 | Colored dark matter | The idea is considered that a classical non-Abelian gauge field can be
considered as a dark matter candidate. It is shown that Yang-Mills equations
have solutions with such distribution of the mass density that allows to
describe a rotational curve of spiral galaxies. The conditions necessary for
such consideration are considered. One parameter is estimated from Yang-Mills
equations and from astrophysical observations (stars rotation curve). The
agreement is to within 1%.
| astro-ph gr-qc hep-ph | the idea is considered that a classical nonabelian gauge field can be considered as a dark matter candidate it is shown that yangmills equations have solutions with such distribution of the mass density that allows to describe a rotational curve of spiral galaxies the conditions necessary for such consideration are considered one parameter is estimated from yangmills equations and from astrophysical observations stars rotation curve the agreement is to within 1 | [['the', 'idea', 'is', 'considered', 'that', 'a', 'classical', 'nonabelian', 'gauge', 'field', 'can', 'be', 'considered', 'as', 'a', 'dark', 'matter', 'candidate', 'it', 'is', 'shown', 'that', 'yangmills', 'equations', 'have', 'solutions', 'with', 'such', 'distribution', 'of', 'the', 'mass', 'density', 'that', 'allows', 'to', 'describe', 'a', 'rotational', 'curve', 'of', 'spiral', 'galaxies', 'the', 'conditions', 'necessary', 'for', 'such', 'consideration', 'are', 'considered', 'one', 'parameter', 'is', 'estimated', 'from', 'yangmills', 'equations', 'and', 'from', 'astrophysical', 'observations', 'stars', 'rotation', 'curve', 'the', 'agreement', 'is', 'to', 'within', '1']] | [-0.11465264083391291, 0.15623292502697925, -0.15209214624778275, 0.11628459514000676, -0.1113330589338455, -0.11022494413929296, -0.05237021580876284, 0.34708009450368477, -0.16736503746885228, -0.31955533716040596, 0.09494276113421198, -0.23411172432935645, -0.11002155618978218, 0.1856588983619717, -0.03243758048350647, 0.056748863801517536, 0.026541147971342147, 0.04650394092510703, -0.0451150077598458, -0.25048099210302177, 0.30678988728200046, -0.027242110373163726, 0.2128093546440064, -0.03579110332804037, 0.11192528740830825, -0.08304002855471532, 0.0001553194531777375, 0.014805108098916605, -0.15484860265112244, 0.00420942809432745, 0.2682987207573065, 0.1239636783081461, 0.16892359432318366, -0.38710713738077124, -0.2723608193000857, 0.09335396598867128, 0.15427559706657915, 0.11657845884771414, -0.06347315477758227, -0.2614876219386261, 0.08810753647474126, -0.15781568858975834, -0.20537431815042304, -0.055996796916383255, 0.03406240820760091, 0.026358316317987695, -0.29221172588811795, 0.08869768953455848, 0.00043186752624075177, -0.008295106321153507, -0.10670742961909281, -0.09015292045988248, -0.08208279709108698, 0.04471643224135566, 0.10865889323226005, 0.08793956823778194, 0.13654268585460286, -0.17491115599503398, -0.04556079563015784, 0.4735300632744608, -0.08744213261812085, -0.19109922820623493, 0.16769327847680576, -0.12935890044859596, -0.1325176034030885, 0.12619298400068787, 0.10147262630249623, 0.11637392116736778, -0.15523627490251207, 0.10104621433190555, -0.0738738374538641, 0.1712975896973635, 0.031778010428214154, 0.006767366375691343, 0.28160490609810385, 0.10139525519080565, 0.07452025609812371, 0.06906468491889799, -0.10816963347540774, -0.12799432040126602, -0.34272922937509037, -0.14452545472066586, -0.1587054040512516, 0.10001514109694333, -0.09879965605652845, -0.10065749702232392, 0.33892793908820185, 0.11952359648667354, 0.16863101657847285, 0.008185422743185304, 0.25210563194426433, 0.14741982556190866, 0.10453235237321383, 0.0771265146716065, 0.27993793229401953, 0.22330135410868, 0.04052024212678973, -0.20894854333133658, 0.006084982174592958, 0.05662383906982682] |
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