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711.2808 | The growth at infinity of a sequence of entire functions of bounded
orders | In this paper we shall consider the growth at infinity of a sequence $(P_n)$
of entire functions of bounded orders. Our results extend the results in
\cite{trong-tuyen2} for the growth of entire functions of genus zero. Given a
sequence of entire functions of bounded orders $P_n(z)$, we found a nearly
optimal condition, given in terms of zeros of $P_n$, for which $(k_n)$ that we
have \begin{eqnarray*} \limsup_{n\to\infty}|P_n(z)|^{1/k_n}\leq 1
\end{eqnarray*} for all $z\in \mathbb C$ (see Theorem \ref{theo5}). Exploring
the growth of a sequence of entire functions of bounded orders lead naturally
to an extremal function which is similar to the Siciak's extremal function (See
Section 6).
| math.CV | in this paper we shall consider the growth at infinity of a sequence p_n of entire functions of bounded orders our results extend the results in citetrongtuyen2 for the growth of entire functions of genus zero given a sequence of entire functions of bounded orders p_nz we found a nearly optimal condition given in terms of zeros of p_n for which k_n that we have begineqnarray limsup_ntoinftyp_nz1k_nleq 1 endeqnarray for all zin mathbb c see theorem reftheo5 exploring the growth of a sequence of entire functions of bounded orders lead naturally to an extremal function which is similar to the siciaks extremal function see section 6 | [['in', 'this', 'paper', 'we', 'shall', 'consider', 'the', 'growth', 'at', 'infinity', 'of', 'a', 'sequence', 'p_n', 'of', 'entire', 'functions', 'of', 'bounded', 'orders', 'our', 'results', 'extend', 'the', 'results', 'in', 'citetrongtuyen2', 'for', 'the', 'growth', 'of', 'entire', 'functions', 'of', 'genus', 'zero', 'given', 'a', 'sequence', 'of', 'entire', 'functions', 'of', 'bounded', 'orders', 'p_nz', 'we', 'found', 'a', 'nearly', 'optimal', 'condition', 'given', 'in', 'terms', 'of', 'zeros', 'of', 'p_n', 'for', 'which', 'k_n', 'that', 'we', 'have', 'begineqnarray', 'limsup_ntoinftyp_nz1k_nleq', '1', 'endeqnarray', 'for', 'all', 'zin', 'mathbb', 'c', 'see', 'theorem', 'reftheo5', 'exploring', 'the', 'growth', 'of', 'a', 'sequence', 'of', 'entire', 'functions', 'of', 'bounded', 'orders', 'lead', 'naturally', 'to', 'an', 'extremal', 'function', 'which', 'is', 'similar', 'to', 'the', 'siciaks', 'extremal', 'function', 'see', 'section', '6']] | [-0.1544813296929436, 0.09602232455195141, -0.06357110369932449, 0.03503237746981452, 0.009170261905946796, -0.042122337677814425, 0.013805534328939845, 0.29892898895958603, -0.29320786636575913, -0.20380457883103958, 0.09012420155510342, -0.30280204272819955, -0.1340628541391162, 0.20503454832631407, -0.054701909630839686, 0.07561987507251969, 0.01483845641018226, 0.061448045228653166, -0.10366250977634443, -0.3171615898631766, 0.33987202331676936, -0.09179986018723654, 0.18202696810702532, 0.07095556103769075, 0.10738902483689282, 0.015361199607548205, 0.009921064202501936, -0.042917720860467086, -0.2632151747745314, 0.10225485321767266, 0.2616291325358511, 0.13559588393901736, 0.2854375588409241, -0.3423782534788824, -0.14609740394194728, 0.19558235403439664, 0.19736200448089433, -0.010777774956348596, -0.0077544896302799, -0.18248507261131575, 0.15220945032801733, -0.13613207413231754, -0.2030554289649268, -0.0004916915950338239, 0.050251403479900175, 0.08639494935446193, -0.3330578093317527, 0.06545040516851885, 0.13855668904205548, 0.04171462445655494, -0.06404549913205097, -0.15381120835222956, -0.04307549298306909, 0.11882630222504145, 0.027044997433001556, 0.10810523139746878, 0.0427977736650523, -0.10489209809394788, -0.10901273070445773, 0.31101560879281714, -0.0644082884729198, -0.2153571171740305, 0.08256259169972059, -0.261255787812101, -0.1425361564039316, 0.12019362511764307, 0.1364991403211957, 0.20731555240328234, -0.0709110791207228, 0.16352527457045266, -0.08505938773595013, 0.14497294542786565, 0.1543762896806725, 0.022737293119894936, 0.12450152363411142, 0.08935099602021386, 0.12862729149400393, 0.17446825292992216, 0.04450107807546709, -0.05095809886968939, -0.3781029071875857, -0.1441898202812932, -0.16916905642482588, 0.1287016933738679, -0.14546635207150457, -0.22672273354261246, 0.4238560097789374, 0.0884381658397615, 0.2381636727583206, 0.14842794243544702, 0.18536776492317902, 0.1559716601001587, 0.04433556148913481, 0.06906093223906547, 0.12204573670564925, 0.11652938014764375, 0.05431752455267079, -0.12575923102157352, 0.04436173384050721, 0.0936356179691112] |
711.2809 | Root Systems for Levi Factors and Borel-de Siebenthal Theory | Let $\frak{m}$ be a Levi factor of a proper parabolic subalgebra $\frak{q}$
of a complex semisimple Lie algebra $\frak{g}$. Let $\frak{t} = cent \frak{m}$.
A nonzero element $\nu \in \frak{t}^*$ is called a $\frak {t}$-root if the
corresponding adjoint weight space $\frak{g}_{nu}$ is not zero. If $\nu$ is a
$\frak{t}$-root, some time ago we proved that $\frak{g}_{\nu}$ is $ad \frak{m}$
irreducible. Based on this result we develop in the present paper a theory of
$\frak{t}$-roots which replicates much of the structure of classical root
theory (case where $\frak{t}$ is a Cartan subalgebra). The results are applied
to obtain new reults about the structure of the nilradical $\frak{n}$ of
$\frak{q}$. Also applications in the case where $dim \frak{t}=1$ are used in
Borel-de Siebenthal theory to determine irreducibility theorems for certain
equal rank subalgebras of $\frak{g}$. In fact the irreducibility results
readily yield a proof of the main assertions of the Borel-de Siebenthal theory.
| math.RT math.GR | let frakm be a levi factor of a proper parabolic subalgebra frakq of a complex semisimple lie algebra frakg let frakt cent frakm a nonzero element nu in frakt is called a frak troot if the corresponding adjoint weight space frakg_nu is not zero if nu is a fraktroot some time ago we proved that frakg_nu is ad frakm irreducible based on this result we develop in the present paper a theory of fraktroots which replicates much of the structure of classical root theory case where frakt is a cartan subalgebra the results are applied to obtain new reults about the structure of the nilradical frakn of frakq also applications in the case where dim frakt1 are used in borelde siebenthal theory to determine irreducibility theorems for certain equal rank subalgebras of frakg in fact the irreducibility results readily yield a proof of the main assertions of the borelde siebenthal theory | [['let', 'frakm', 'be', 'a', 'levi', 'factor', 'of', 'a', 'proper', 'parabolic', 'subalgebra', 'frakq', 'of', 'a', 'complex', 'semisimple', 'lie', 'algebra', 'frakg', 'let', 'frakt', 'cent', 'frakm', 'a', 'nonzero', 'element', 'nu', 'in', 'frakt', 'is', 'called', 'a', 'frak', 'troot', 'if', 'the', 'corresponding', 'adjoint', 'weight', 'space', 'frakg_nu', 'is', 'not', 'zero', 'if', 'nu', 'is', 'a', 'fraktroot', 'some', 'time', 'ago', 'we', 'proved', 'that', 'frakg_nu', 'is', 'ad', 'frakm', 'irreducible', 'based', 'on', 'this', 'result', 'we', 'develop', 'in', 'the', 'present', 'paper', 'a', 'theory', 'of', 'fraktroots', 'which', 'replicates', 'much', 'of', 'the', 'structure', 'of', 'classical', 'root', 'theory', 'case', 'where', 'frakt', 'is', 'a', 'cartan', 'subalgebra', 'the', 'results', 'are', 'applied', 'to', 'obtain', 'new', 'reults', 'about', 'the', 'structure', 'of', 'the', 'nilradical', 'frakn', 'of', 'frakq', 'also', 'applications', 'in', 'the', 'case', 'where', 'dim', 'frakt1', 'are', 'used', 'in', 'borelde', 'siebenthal', 'theory', 'to', 'determine', 'irreducibility', 'theorems', 'for', 'certain', 'equal', 'rank', 'subalgebras', 'of', 'frakg', 'in', 'fact', 'the', 'irreducibility', 'results', 'readily', 'yield', 'a', 'proof', 'of', 'the', 'main', 'assertions', 'of', 'the', 'borelde', 'siebenthal', 'theory']] | [-0.1559933814027443, 0.08390446760900447, -0.09988778652302151, 0.030356782035709455, -0.1389617053470735, -0.1545975793345735, -0.025575576460085295, 0.29870346334987674, -0.29584669897268556, -0.14595783441488086, 0.118356337904898, -0.23023648554266526, -0.13983997527253011, 0.19136400118084818, -0.13594388088596793, -0.06432248027674083, 0.068826707012566, 0.15613698358808098, -0.08522716114650769, -0.2530767984078105, 0.3390335239983838, -0.029013598408421565, 0.20294093185843065, 0.01842018237401699, 0.09982964548699814, -0.010020877912255196, 0.013539049324804339, -0.03728934985139921, -0.15933462770777185, 0.10807535804884412, 0.31403548722315966, 0.07753637288054772, 0.254248942604995, -0.32659856878092575, -0.10806033274656611, 0.20103588549034862, 0.15147623467933516, -0.007191976528325728, 0.005608385733071843, -0.25743046155327864, 0.16423950600919537, -0.20459377379317223, -0.17767714134192672, -0.03800610541366041, 0.0838401669901314, -0.058009484018488176, -0.28564069867856673, 0.06146777815743478, 0.08654790906042888, 0.12111519745245962, -0.059667868250659825, -0.13123326640704583, -0.044417556516569236, 0.028066762411517315, -0.038038268648409125, 0.06277603708079149, 0.08277680942917179, -0.05540244665221664, -0.13786337172997923, 0.40469376602820284, -0.03647605756506954, -0.23541450102267594, 0.10420967959798873, -0.19930867931709206, -0.16215571540183035, 0.08203218455972343, 0.08088843280706426, 0.13056669150788242, -0.054231803306249965, 0.20482799410498861, -0.14492462808587428, 0.08798145648284719, 0.05261042940205541, -0.022501987523945242, 0.09466383805948085, 0.10921762378179821, 0.04742227461478063, 0.08214369604669126, 0.05058939023232409, 0.010904426211571514, -0.36420997140993333, -0.1961005539986594, -0.1493060810170297, 0.172999755554965, -0.08837169824039627, -0.16454626357760924, 0.3854589063899013, 0.09974318715896265, 0.1620227178944082, 0.08478492751219792, 0.20060476473018785, 0.11473129225156174, 0.09026362279044657, 0.08257773985728975, 0.1430841349043225, 0.27977453559508614, -0.030967155656102915, -0.13308505842397952, -0.021632239101093326, 0.20391959101925122] |
711.281 | The Lie module structure on the Hochschild cohomology groups of monomial
algebras with radical square zero | We study the Lie module structure given by the Gerstenhaber bracket on the
Hochschild cohomology groups of a monomial algebra with radical square zero.
The description of such Lie module structure will be given in terms of the
combinatorics of the quiver. The Lie module structure will be related to the
classification of finite dimensional modules over simple Lie algebras when the
quiver is given by the two loops and the ground field is the complex numbers.
| math.RT | we study the lie module structure given by the gerstenhaber bracket on the hochschild cohomology groups of a monomial algebra with radical square zero the description of such lie module structure will be given in terms of the combinatorics of the quiver the lie module structure will be related to the classification of finite dimensional modules over simple lie algebras when the quiver is given by the two loops and the ground field is the complex numbers | [['we', 'study', 'the', 'lie', 'module', 'structure', 'given', 'by', 'the', 'gerstenhaber', 'bracket', 'on', 'the', 'hochschild', 'cohomology', 'groups', 'of', 'a', 'monomial', 'algebra', 'with', 'radical', 'square', 'zero', 'the', 'description', 'of', 'such', 'lie', 'module', 'structure', 'will', 'be', 'given', 'in', 'terms', 'of', 'the', 'combinatorics', 'of', 'the', 'quiver', 'the', 'lie', 'module', 'structure', 'will', 'be', 'related', 'to', 'the', 'classification', 'of', 'finite', 'dimensional', 'modules', 'over', 'simple', 'lie', 'algebras', 'when', 'the', 'quiver', 'is', 'given', 'by', 'the', 'two', 'loops', 'and', 'the', 'ground', 'field', 'is', 'the', 'complex', 'numbers']] | [-0.20950959612881498, 0.06979713140224869, -0.04118329891330236, 0.036484573148311925, -0.14634468116156465, -0.09824716468498886, -0.0776936753665085, 0.3622852914132081, -0.42250209152335666, -0.2128892471263935, 0.13794157105987867, -0.15767528491651084, -0.1813502064603683, 0.1589200569879167, -0.12551844737480405, -0.10571969546038996, 0.1002905941447364, 0.20150193150530193, -0.09527965624175676, -0.3069141211453825, 0.46781453019757935, 0.06701913660138169, 0.2256306762166031, 0.005795569609632933, 0.12324494670157309, 0.017119522418149492, -0.00013414565352843955, -0.008614166506699153, -0.12185910901707875, 0.14273616161149044, 0.32098548234041246, 0.03549740408462557, 0.16101705626124976, -0.3708087383442885, -0.06304071537618126, 0.15989582633672209, 0.12935986208983444, 0.033909651970902045, 0.018172099803840474, -0.2687407271065689, 0.0936690718661268, -0.24458851374976046, -0.11245737969875336, -0.047548884259802957, 0.041884439593701105, 0.021890217507887003, -0.1859629822089095, -0.002986047368545037, 0.027986448633109593, 0.189016715212205, -0.1116836771562502, -0.09448743784534079, -0.1045845234706127, 0.11446938574103965, -0.1179735935414089, 0.028020567439085285, 0.14239314443419698, -0.14666374024223347, -0.19945883266506836, 0.39262393972074444, 0.007433531606303794, -0.23915828964612507, 0.13615076575283105, -0.24165417071335116, -0.154201381743051, 0.13218625042248855, 0.030706918121061542, 0.09386261089934737, -0.01915841529092165, 0.210474304007457, -0.11527498731655735, 0.0034912929616191172, 0.05071922360205805, -0.03492454371669076, 0.20670805634422737, 0.15509666706580524, 0.0228265434346319, 0.10394403778391516, 0.0185326169299373, -0.02870770456464417, -0.3577647629835002, -0.22391528474747555, -0.10979264148498898, 0.11545108638510301, -0.13342264201473172, -0.1736897128579727, 0.48512885475821504, 0.09796406421432417, 0.18784843126384468, 0.09704456145137355, 0.2075801378769147, 0.1069815345834215, 0.17248591947574893, 0.00514961856375025, 0.09836559533443931, 0.30001116662540217, -0.03665364972866056, -0.13990443254300913, -0.06631869437511671, 0.23767470264831533] |
711.2811 | Une approche par les mod\`eles pour le suivi de l'activit\'e de
construction d'un b\^atiment. Bat'iViews : une interface multi-vues
orient\'ee gestion de chantier | Cooperation between actors in design and construction activities in
architecture is an essential stake nowadays. In professional practices the
actors involved in construction projects use numerous tools. The project is
unique but the "views" that actors manipulate are various and sometimes
fundamentally different. Their common characteristic is that they partially
represent the cooperation context through a specific point of view.
"Bat'iViews" suggests to the actors a multi-view interface of the context and
enables to navigate through the different views. This proposition is based on a
model-driven approach. We distinguish between "context modelling" and modelling
of concepts represented in each "businessview". A model integrative
infrastructure allows us to develop the prototype and to manage user
interaction through the definition of models' transformations.
| cs.HC | cooperation between actors in design and construction activities in architecture is an essential stake nowadays in professional practices the actors involved in construction projects use numerous tools the project is unique but the views that actors manipulate are various and sometimes fundamentally different their common characteristic is that they partially represent the cooperation context through a specific point of view bativiews suggests to the actors a multiview interface of the context and enables to navigate through the different views this proposition is based on a modeldriven approach we distinguish between context modelling and modelling of concepts represented in each businessview a model integrative infrastructure allows us to develop the prototype and to manage user interaction through the definition of models transformations | [['cooperation', 'between', 'actors', 'in', 'design', 'and', 'construction', 'activities', 'in', 'architecture', 'is', 'an', 'essential', 'stake', 'nowadays', 'in', 'professional', 'practices', 'the', 'actors', 'involved', 'in', 'construction', 'projects', 'use', 'numerous', 'tools', 'the', 'project', 'is', 'unique', 'but', 'the', 'views', 'that', 'actors', 'manipulate', 'are', 'various', 'and', 'sometimes', 'fundamentally', 'different', 'their', 'common', 'characteristic', 'is', 'that', 'they', 'partially', 'represent', 'the', 'cooperation', 'context', 'through', 'a', 'specific', 'point', 'of', 'view', 'bativiews', 'suggests', 'to', 'the', 'actors', 'a', 'multiview', 'interface', 'of', 'the', 'context', 'and', 'enables', 'to', 'navigate', 'through', 'the', 'different', 'views', 'this', 'proposition', 'is', 'based', 'on', 'a', 'modeldriven', 'approach', 'we', 'distinguish', 'between', 'context', 'modelling', 'and', 'modelling', 'of', 'concepts', 'represented', 'in', 'each', 'businessview', 'a', 'model', 'integrative', 'infrastructure', 'allows', 'us', 'to', 'develop', 'the', 'prototype', 'and', 'to', 'manage', 'user', 'interaction', 'through', 'the', 'definition', 'of', 'models', 'transformations']] | [-0.11165115472610194, 0.04442099037205022, -0.11741025602648489, 0.0752947925454976, -0.1535905079931772, -0.14930478696312224, 0.05580590059589438, 0.4103068643633057, -0.2869616452479312, -0.3378696588783705, 0.03545648209650868, -0.24753710147232588, -0.2141469796388723, 0.15388525803495168, -0.11095443312000453, -0.03992827580419972, 0.044936409004877845, -0.0049064254105490234, -0.02199923518375971, -0.20529856274937505, 0.33695451599866655, 0.05251714781889332, 0.3486983034478015, 0.02986866223211048, 0.0793850965985731, 0.021884116598506684, -0.08521875713246546, -0.021933771231595206, -0.06593231087956018, 0.19169718799369112, 0.37498495941033355, 0.2504100887175305, 0.3524353851861626, -0.4491393595871304, -0.17016417080460178, 0.04124363212055769, 0.1165145916312526, 0.06708244438588369, -0.00726080484817415, -0.3101020160702472, 0.03453647358609097, -0.2012973569623124, -0.11489369218167261, -0.08353887298027006, -0.03458521264838055, 0.009383779077814156, -0.2511365726558852, -0.06433045828691487, 0.02852468571758696, 0.0872152808255383, -0.03227063709284969, -0.029352012845617132, -0.013666722795362546, 0.23985166161344582, 0.04434565638931578, -0.005806936847218195, 0.14374759749845922, -0.1471083371277836, -0.14754069108171625, 0.399550258142858, 0.04789750590263044, -0.2044600167961306, 0.27583112448117375, -0.06197980633729427, -0.13867198529128894, 0.0545798484138174, 0.2168912086146688, 0.07778168224510462, -0.21918551198073796, 0.032661482425183526, -0.0010239731035187464, 0.1655600361475631, 0.03013572734076248, 0.005867311014879902, 0.2621369345285812, 0.21670703452957027, 0.04493689573049044, 0.0924428546949908, -0.016881045226023354, -0.16817534032097758, -0.26920808826674936, -0.16233457935271597, -0.12650571923562082, -0.01100694587720292, -0.05978230269908995, -0.13327049765297594, 0.39760198476998243, 0.22387901842880292, 0.14803506634755748, -0.006312942993240196, 0.30954360326423364, 0.006247305146911565, 0.10038216937403782, 0.04542006404303452, 0.15020423680700423, 0.04852872445568943, 0.15399160950264634, -0.13264799657465592, 0.13236372158745258, 0.022204727861842438] |
711.2812 | On Baxter Q-operators And Their Arithmetic Implications | We consider Baxter Q-operators for various versions of quantum affine Toda
chain. The interpretation of eigenvalues of the finite Toda chain Baxter
operators as local Archimedean L-functions proposed recently is generalized to
the case of affine Lie algebras. We also introduce a simple generalization of
Baxter operators and local L-functions compatible with this identification.
This gives a connection of the Toda chain Baxter Q-operators with an
Archimedean version of the Polya-Hilbert operator proposed by Berry-Kitting. We
also elucidate the Dorey-Tateo spectral interpretation of eigenvalues of
Q-operators. Using explicit expressions for eigenfunctions of
affine/relativistic Toda chain we obtain an Archimedean analog of
Casselman-Shalika-Shintani formula for Whittaker function in terms of
characters.
| math.RT | we consider baxter qoperators for various versions of quantum affine toda chain the interpretation of eigenvalues of the finite toda chain baxter operators as local archimedean lfunctions proposed recently is generalized to the case of affine lie algebras we also introduce a simple generalization of baxter operators and local lfunctions compatible with this identification this gives a connection of the toda chain baxter qoperators with an archimedean version of the polyahilbert operator proposed by berrykitting we also elucidate the doreytateo spectral interpretation of eigenvalues of qoperators using explicit expressions for eigenfunctions of affinerelativistic toda chain we obtain an archimedean analog of casselmanshalikashintani formula for whittaker function in terms of characters | [['we', 'consider', 'baxter', 'qoperators', 'for', 'various', 'versions', 'of', 'quantum', 'affine', 'toda', 'chain', 'the', 'interpretation', 'of', 'eigenvalues', 'of', 'the', 'finite', 'toda', 'chain', 'baxter', 'operators', 'as', 'local', 'archimedean', 'lfunctions', 'proposed', 'recently', 'is', 'generalized', 'to', 'the', 'case', 'of', 'affine', 'lie', 'algebras', 'we', 'also', 'introduce', 'a', 'simple', 'generalization', 'of', 'baxter', 'operators', 'and', 'local', 'lfunctions', 'compatible', 'with', 'this', 'identification', 'this', 'gives', 'a', 'connection', 'of', 'the', 'toda', 'chain', 'baxter', 'qoperators', 'with', 'an', 'archimedean', 'version', 'of', 'the', 'polyahilbert', 'operator', 'proposed', 'by', 'berrykitting', 'we', 'also', 'elucidate', 'the', 'doreytateo', 'spectral', 'interpretation', 'of', 'eigenvalues', 'of', 'qoperators', 'using', 'explicit', 'expressions', 'for', 'eigenfunctions', 'of', 'affinerelativistic', 'toda', 'chain', 'we', 'obtain', 'an', 'archimedean', 'analog', 'of', 'casselmanshalikashintani', 'formula', 'for', 'whittaker', 'function', 'in', 'terms', 'of', 'characters']] | [-0.16380870526079974, 0.031357032531412275, -0.05927300666059766, 0.11648157547072818, -0.14288966214461696, -0.11118405176592724, -0.03622082024147468, 0.282990832766518, -0.2671834917295547, -0.1805151215089219, 0.08600089341912064, -0.22263611542238365, -0.18986087028336313, 0.1953264387235755, -0.0753245604534944, 0.04445935223428976, 0.044182031634928925, 0.09733985614563738, -0.16381143160341752, -0.23477293477349337, 0.34053698798552867, 0.024638294592677128, 0.24990749423436465, 0.025309211969198216, 0.16262778655758925, 0.08684109842316026, 0.04556495989007609, -0.12847939525686558, -0.1666189777132656, 0.17084474913953315, 0.29521865612117665, 0.02774613057928426, 0.15078609439411333, -0.4134124179148958, -0.07399991696611756, 0.17362722670215935, 0.20034984972361208, 0.08741653667807224, 0.012100626683483521, -0.3275961022801875, 0.005023183551661315, -0.25408055688298886, -0.23920566267333926, -0.08663329659473329, 0.02935465219918461, 0.06802796807051414, -0.2890263929519625, 0.08030797537981665, 0.11482447347648086, 0.1580988826059703, -0.13978846569856007, -0.15500971159587304, -0.0025995817623056827, 0.0524974108540586, -0.039714343758255596, -0.06619865501831684, 0.014090314950971376, -0.06852037197067624, -0.22151499473090683, 0.3129463096637101, -0.008510439284145832, -0.2920586615667811, 0.1007139148412361, -0.11891271807696847, -0.19289756818186668, 0.046117552383137604, 0.05625424170423122, 0.08380696848034859, -0.13705307168974762, 0.18315982909019415, -0.17639300832968383, 0.01193934240422788, 0.07975477263154018, -0.014997748446434603, 0.17135256726649545, 0.03871939466113136, 0.05639832191878841, 0.2706599400245718, 0.030658375623170288, -0.16750771300423714, -0.35395622700452806, -0.22059510413202502, -0.16660376348798828, 0.09471650404766911, -0.12970920255659923, -0.24812891064655213, 0.44171881453976747, 0.14299885574177357, 0.18024694819358134, 0.16853966656185332, 0.10529866192844652, 0.19343120520380103, 0.11048786861023732, 0.005406547320030985, 0.03773640106831278, 0.3043709217748117, 0.029659992349999293, -0.21744975565289634, -0.07459702890898501, 0.3042900192551315] |
711.2813 | Partially-Time-Ordered Schwinger-Keldysh Loop Expansion of Coherent
Nonlinear Optical Susceptibilities | A compact correlation-function expansion is developed for nth order optical
susceptibilities in the frequency domain using the Keldysh-Schwinger loop. By
not keeping track of the relative time ordering of bra and ket interactions at
the two branches of the loop, the resulting expressions contain only n+1 basic
terms, compared to the 2n terms required for a fully time-ordered density
matrix description. Superoperator Green's function expressions for the nth
order suscpeptibility derived using both expansions reflect different types of
interferences between pathways .These are demonstrated for correlation-induced
resonances in four wave mixing signals.
| quant-ph | a compact correlationfunction expansion is developed for nth order optical susceptibilities in the frequency domain using the keldyshschwinger loop by not keeping track of the relative time ordering of bra and ket interactions at the two branches of the loop the resulting expressions contain only n1 basic terms compared to the 2n terms required for a fully timeordered density matrix description superoperator greens function expressions for the nth order suscpeptibility derived using both expansions reflect different types of interferences between pathways these are demonstrated for correlationinduced resonances in four wave mixing signals | [['a', 'compact', 'correlationfunction', 'expansion', 'is', 'developed', 'for', 'nth', 'order', 'optical', 'susceptibilities', 'in', 'the', 'frequency', 'domain', 'using', 'the', 'keldyshschwinger', 'loop', 'by', 'not', 'keeping', 'track', 'of', 'the', 'relative', 'time', 'ordering', 'of', 'bra', 'and', 'ket', 'interactions', 'at', 'the', 'two', 'branches', 'of', 'the', 'loop', 'the', 'resulting', 'expressions', 'contain', 'only', 'n1', 'basic', 'terms', 'compared', 'to', 'the', '2n', 'terms', 'required', 'for', 'a', 'fully', 'timeordered', 'density', 'matrix', 'description', 'superoperator', 'greens', 'function', 'expressions', 'for', 'the', 'nth', 'order', 'suscpeptibility', 'derived', 'using', 'both', 'expansions', 'reflect', 'different', 'types', 'of', 'interferences', 'between', 'pathways', 'these', 'are', 'demonstrated', 'for', 'correlationinduced', 'resonances', 'in', 'four', 'wave', 'mixing', 'signals']] | [-0.16882584783361182, 0.16079025359435395, -0.03906233885880703, 0.08898399973538919, -0.015010706670991667, -0.06272984519479335, 0.0011430692623604784, 0.3316671598170485, -0.2294083204232975, -0.2633296883777603, 0.05295779447680196, -0.30133234406565573, -0.14385226498368187, 0.15213968584334459, 0.07866163165973765, 0.04230271286975879, 0.00913365490499188, 0.07844905246171978, -0.10004174784798134, -0.17224732102061222, 0.3031277224053066, -0.02305108977092819, 0.26752817323738404, 0.03356727816491992, 0.12229641391972469, 0.032250402515733634, -0.01650185573457198, -0.019850212978301467, -0.08519499294541694, 0.08389198994596622, 0.2660313724069396, 0.07270216125135238, 0.18593380813599453, -0.45389005528496845, -0.17008882211035137, 0.06319264003208705, 0.19476347831384902, 0.10599262672725931, 0.021387617174116382, -0.2681011009122153, 0.046113131345079564, -0.17580639571974893, -0.12063351335454282, -0.11754063770922085, 0.008461189068659404, 0.03746412852062629, -0.28995203877707104, 0.09457248512010735, 0.012348864066742673, 0.025951335308970987, -0.034272961620405155, -0.14381972820098912, -0.03253583251345125, 0.1886463540063782, -0.015572309010447217, -0.0013541794320629848, 0.07903141475149564, -0.10663727242090218, -0.12199333419122703, 0.36439295170910574, -0.07388894312380516, -0.2356157691965064, 0.1407712138498427, -0.20384146022395447, -0.07027239749556059, 0.17387709011333985, 0.10919451269392784, 0.11000216721587784, -0.17525718026861017, 0.08273525046028586, 0.06952440826069425, 0.15252121655618425, 0.1500502534077636, 0.0915464741116451, 0.17263921320561196, 0.06617282984194929, 0.001122725513446462, 0.12066658331940953, -0.031764782760496976, -0.11004844360094476, -0.34569041716167703, -0.1159849056339526, -0.18105960541128457, -0.030593831958837685, -0.10615215944314943, -0.17571644286451105, 0.44193104846955655, 0.09998772243948674, 0.17369083881603328, 0.07724549947306514, 0.2988381550985051, 0.20786262982893366, 0.07603839787930905, 0.036421326178402366, 0.1771791064804727, 0.1919289806622316, 0.05231409092116487, -0.27061139078872215, 0.05818392638280824, 0.1426101153521993] |
711.2814 | On a constrained reaction-diffusion system related to multiphase
problems | We solve and characterize the Lagrange multipliers of a reaction-diffusion
system in the Gibbs simplex of R^{N+1} by considering strong solutions of a
system of parabolic variational inequalities in R^N. Exploring properties of
the two obstacles evolution problem, we obtain and approximate a N-system
involving the characteristic functions of the saturated and/or degenerated
phases in the nonlinear reaction terms. We also show continuous dependence
results and we establish sufficient conditions of non-degeneracy for the
stability of those phase subregions.
| math.AP | we solve and characterize the lagrange multipliers of a reactiondiffusion system in the gibbs simplex of rn1 by considering strong solutions of a system of parabolic variational inequalities in rn exploring properties of the two obstacles evolution problem we obtain and approximate a nsystem involving the characteristic functions of the saturated andor degenerated phases in the nonlinear reaction terms we also show continuous dependence results and we establish sufficient conditions of nondegeneracy for the stability of those phase subregions | [['we', 'solve', 'and', 'characterize', 'the', 'lagrange', 'multipliers', 'of', 'a', 'reactiondiffusion', 'system', 'in', 'the', 'gibbs', 'simplex', 'of', 'rn1', 'by', 'considering', 'strong', 'solutions', 'of', 'a', 'system', 'of', 'parabolic', 'variational', 'inequalities', 'in', 'rn', 'exploring', 'properties', 'of', 'the', 'two', 'obstacles', 'evolution', 'problem', 'we', 'obtain', 'and', 'approximate', 'a', 'nsystem', 'involving', 'the', 'characteristic', 'functions', 'of', 'the', 'saturated', 'andor', 'degenerated', 'phases', 'in', 'the', 'nonlinear', 'reaction', 'terms', 'we', 'also', 'show', 'continuous', 'dependence', 'results', 'and', 'we', 'establish', 'sufficient', 'conditions', 'of', 'nondegeneracy', 'for', 'the', 'stability', 'of', 'those', 'phase', 'subregions']] | [-0.16954562336772303, 0.07295436471629935, -0.06394332118923304, 0.07227844848957714, -0.01571913468179918, -0.11100408000447139, 0.0255455598824575, 0.30907123894253863, -0.3117634763917591, -0.23182872430527512, 0.13725315285640285, -0.24755157341685477, -0.1442704135198382, 0.16522457424692716, -0.03389124388959777, 0.11345503438570642, 0.047801494150410725, -0.008024667734239705, -0.1478921923656724, -0.20719116166693782, 0.3825332647826098, -0.08497046615598322, 0.2103219420790578, 0.0641249067303312, 0.13712800011227402, -0.0378469311856205, 0.02564428963321202, 0.029132264076814622, -0.19692167925318302, 0.10138202050577, 0.20345791801810265, 0.103643121056353, 0.2652661395018819, -0.43906615306682223, -0.21078377802962367, 0.15002250994991842, 0.12057444775076229, 0.06258181944678101, -0.048637122175172916, -0.2898796567858397, 0.05877632861131731, -0.09888329952247912, -0.21108490673536318, -0.07588332313808459, -0.02992708968658802, 0.11495810158883131, -0.3379540800034434, 0.10499432156874822, 0.09743733642787873, 0.05305717574120086, -0.17994479269166536, -0.0781410245336828, -0.019672861648428762, 0.07135283414722432, 0.006121913043345926, -0.04773417101470058, 0.05175788496043297, -0.12476573347024136, -0.0865553396848278, 0.35954245902550747, -0.06426490354056977, -0.2744738995804911, 0.1902509909830516, -0.16092801820564148, -0.1401837384210357, 0.107451336334542, 0.1807043558116295, 0.18013131458170806, -0.16081986680061003, 0.11888573984571296, -0.04284167609802341, 0.10427369212708142, 0.0815604435209232, 0.041946780136963235, 0.09731220234114724, 0.13084287725719093, 0.15232454201418766, 0.2211897876721518, -0.032242901935654725, -0.13322018624483783, -0.3216950017133657, -0.19394967909843389, -0.1432062943194863, 0.021198185885773053, -0.11921985529873762, -0.17038005090589764, 0.415309054959754, 0.08626248428002707, 0.1799538187753362, 0.04871574759813426, 0.1899955516586764, 0.15217741356375686, -0.04193801447805135, 0.05432230666024858, 0.21641378553843574, 0.17432880889966235, 0.08215243885989147, -0.2587743451188118, 0.04237550323758321, 0.13916116375240345] |
711.2815 | On the geometry of the first and second Painlev\'e equations | In this paper we \emph{explicitly} compute the transformation that maps the
generic second order differential equation $y''= f(x, y, y')$ to the Painlev\'e
first equation $y''=6y^2+x$ (resp. the Painlev\'e second equation ${y''=2
y^{3}+yx+ \alpha}$). This change of coordinates, which is function of $f$ and
its partial derivatives, does not exist for every $f$; it is necessary that the
function $f$ satisfies certain conditions that define the equivalence class of
the considered Painlev\'e equation. In this work we won't consider these
conditions and the existence issue is solved \emph{on line} as follows: If the
input equation is known then it suffices to specialize the change of
coordinates on this equation and test by simple substitution if the equivalence
holds. The other innovation of this work lies in the exploitation of discrete
symmetries for solving the equivalence problem.
| math.DG | in this paper we emphexplicitly compute the transformation that maps the generic second order differential equation y fx y y to the painleve first equation y6y2x resp the painleve second equation y2 y3yx alpha this change of coordinates which is function of f and its partial derivatives does not exist for every f it is necessary that the function f satisfies certain conditions that define the equivalence class of the considered painleve equation in this work we wont consider these conditions and the existence issue is solved emphon line as follows if the input equation is known then it suffices to specialize the change of coordinates on this equation and test by simple substitution if the equivalence holds the other innovation of this work lies in the exploitation of discrete symmetries for solving the equivalence problem | [['in', 'this', 'paper', 'we', 'emphexplicitly', 'compute', 'the', 'transformation', 'that', 'maps', 'the', 'generic', 'second', 'order', 'differential', 'equation', 'y', 'fx', 'y', 'y', 'to', 'the', 'painleve', 'first', 'equation', 'y6y2x', 'resp', 'the', 'painleve', 'second', 'equation', 'y2', 'y3yx', 'alpha', 'this', 'change', 'of', 'coordinates', 'which', 'is', 'function', 'of', 'f', 'and', 'its', 'partial', 'derivatives', 'does', 'not', 'exist', 'for', 'every', 'f', 'it', 'is', 'necessary', 'that', 'the', 'function', 'f', 'satisfies', 'certain', 'conditions', 'that', 'define', 'the', 'equivalence', 'class', 'of', 'the', 'considered', 'painleve', 'equation', 'in', 'this', 'work', 'we', 'wont', 'consider', 'these', 'conditions', 'and', 'the', 'existence', 'issue', 'is', 'solved', 'emphon', 'line', 'as', 'follows', 'if', 'the', 'input', 'equation', 'is', 'known', 'then', 'it', 'suffices', 'to', 'specialize', 'the', 'change', 'of', 'coordinates', 'on', 'this', 'equation', 'and', 'test', 'by', 'simple', 'substitution', 'if', 'the', 'equivalence', 'holds', 'the', 'other', 'innovation', 'of', 'this', 'work', 'lies', 'in', 'the', 'exploitation', 'of', 'discrete', 'symmetries', 'for', 'solving', 'the', 'equivalence', 'problem']] | [-0.16232381520598238, 0.03605824916401127, -0.06740221242184069, 0.059461138394501394, -0.11803559595093464, -0.1736090757098716, 0.005934612334657238, 0.29989809077754337, -0.34519054133917637, -0.2208169263843169, 0.07152384986736944, -0.2765352243918981, -0.16380958478731006, 0.123383763979481, -0.06262662649717626, 0.02144454294813922, 0.02218021744333986, 0.05962199142981154, -0.14362372530089107, -0.2871406726328892, 0.37994192621267553, -0.0622176495519703, 0.22339283634123128, 0.02225898312571556, 0.17764800641366016, 0.0038025078586121992, 0.02625529068424853, -0.03348482830394337, -0.1719259937708557, 0.05532654169243204, 0.2507685813566308, 0.15081552278646615, 0.2657140460900907, -0.3360444259255996, -0.16223154774755796, 0.1809219661969761, 0.1254484713035844, 0.04040293721742789, -0.002562401045648965, -0.2433892472702732, 0.0830659582296998, -0.10999403295538096, -0.19686097432442232, -0.049946505479069786, 0.07816707906174238, 0.04398993604274383, -0.2720257629911457, 0.07135984188982493, 0.14722415078570372, 0.002830952433078661, -0.06443221338089805, -0.05565626027910456, -0.06798470445210114, 0.08298453352928384, 0.035106226915681264, 0.06909521940553477, 0.02745268380907086, -0.08328695897770517, -0.0359657501537742, 0.4089572230048144, -0.061851948629126456, -0.26722098456751275, 0.09819926311428756, -0.15542166842731522, -0.19558761543038286, 0.08517665007332367, 0.10511694085408947, 0.17049208007850197, -0.14792152579679196, 0.1894589325090794, -0.07403757927397182, 0.149635727030795, 0.09473170393577485, -0.04877129812558084, 0.08481995098685077, 0.06464890108110188, 0.09613512256252232, 0.10730307880804679, 0.0008666661660075743, -0.06244019827624755, -0.39249187909455885, -0.2062186689373217, -0.15488542674053737, 0.08782028801465118, -0.05207828289050341, -0.1514846647033162, 0.3586814103634166, 0.1564300795947549, 0.149183650855531, 0.05922943034727098, 0.22161024662756376, 0.22407911398965838, -0.004743868259212642, 0.045863421362783034, 0.17075373036717412, 0.15047534769783213, 0.1003090504960004, -0.20916799426864166, 0.09115664127852711, 0.16706653531473964] |
711.2816 | Automorphism Groups of Finite p-Groups: Structure and Applications | This thesis has three goals related to the automorphism groups of finite
$p$-groups. The primary goal is to provide a complete proof of a theorem
showing that, in some asymptotic sense, the automorphism group of almost every
finite $p$-group is itself a $p$-group. We originally proved this theorem in a
paper with Martin; the presentation of the proof here contains omitted proof
details and revised exposition. We also give a survey of the extant results on
automorphism groups of finite $p$-groups, focusing on the order of the
automorphism groups and on known examples. Finally, we explore a connection
between automorphisms of finite $p$-groups and Markov chains. Specifically, we
define a family of Markov chains on an elementary abelian $p$-group and bound
the convergence rate of some of those chains.
| math.GR math.PR | this thesis has three goals related to the automorphism groups of finite pgroups the primary goal is to provide a complete proof of a theorem showing that in some asymptotic sense the automorphism group of almost every finite pgroup is itself a pgroup we originally proved this theorem in a paper with martin the presentation of the proof here contains omitted proof details and revised exposition we also give a survey of the extant results on automorphism groups of finite pgroups focusing on the order of the automorphism groups and on known examples finally we explore a connection between automorphisms of finite pgroups and markov chains specifically we define a family of markov chains on an elementary abelian pgroup and bound the convergence rate of some of those chains | [['this', 'thesis', 'has', 'three', 'goals', 'related', 'to', 'the', 'automorphism', 'groups', 'of', 'finite', 'pgroups', 'the', 'primary', 'goal', 'is', 'to', 'provide', 'a', 'complete', 'proof', 'of', 'a', 'theorem', 'showing', 'that', 'in', 'some', 'asymptotic', 'sense', 'the', 'automorphism', 'group', 'of', 'almost', 'every', 'finite', 'pgroup', 'is', 'itself', 'a', 'pgroup', 'we', 'originally', 'proved', 'this', 'theorem', 'in', 'a', 'paper', 'with', 'martin', 'the', 'presentation', 'of', 'the', 'proof', 'here', 'contains', 'omitted', 'proof', 'details', 'and', 'revised', 'exposition', 'we', 'also', 'give', 'a', 'survey', 'of', 'the', 'extant', 'results', 'on', 'automorphism', 'groups', 'of', 'finite', 'pgroups', 'focusing', 'on', 'the', 'order', 'of', 'the', 'automorphism', 'groups', 'and', 'on', 'known', 'examples', 'finally', 'we', 'explore', 'a', 'connection', 'between', 'automorphisms', 'of', 'finite', 'pgroups', 'and', 'markov', 'chains', 'specifically', 'we', 'define', 'a', 'family', 'of', 'markov', 'chains', 'on', 'an', 'elementary', 'abelian', 'pgroup', 'and', 'bound', 'the', 'convergence', 'rate', 'of', 'some', 'of', 'those', 'chains']] | [-0.17944438480447197, 0.10814015596688548, -0.15293601770387139, 0.07220142801082874, -0.1205730360838794, -0.09561042260340696, 0.05390068607913807, 0.33342231797097727, -0.2655580227963569, -0.25703654887313526, 0.136457604162987, -0.2751662675074713, -0.11017478429739429, 0.19554941297342726, -0.14683213129516892, -0.052923066065061926, 0.03981060994240318, 0.12517189247332433, -0.058812495254254506, -0.3363616007214138, 0.367556180025256, 0.008270871796638005, 0.21144451613559626, 0.09820608184997771, 0.092246819020415, 0.017924597349682058, -0.06904095227562988, -0.04635349945562293, -0.20703624037498033, 0.0963925017159461, 0.3037675133285423, 0.042291258461773396, 0.25199241910938375, -0.33427238820166716, -0.13352811128955133, 0.19108782670471472, 0.1459579188114956, 0.07929279931005119, -0.08908175720491215, -0.2698139387016842, 0.1259499267682202, -0.2399099343600719, -0.16169647040033294, -0.03621769204461413, 0.04654460601407544, 0.023119704680285333, -0.19418686222602694, -0.037271856187974545, 0.19477086266603813, 0.17899805938016422, -0.038513223193910755, -0.09807825205999232, -0.00024324217125369134, 0.0942424837709224, 0.00445025830435776, -0.02115070214946285, 0.05655410220122773, -0.041093063813069285, -0.14959639257231597, 0.35595508414463234, -0.028803820735792983, -0.16621075000419, 0.17828936575976914, -0.1505772425150571, -0.23870418157948312, 0.09529797753135046, 0.11536985225325753, 0.17270523852979144, -0.06556153346517289, 0.17079209470435572, -0.1315025584627838, 0.13863517808937287, 0.04752585513322333, -0.0076632052470475085, 0.0742561864421176, 0.14947116526580134, 0.10024984458880137, 0.19986981965146614, 0.09209483102426048, -0.011067068485846354, -0.3833287272948858, -0.17659603249030764, -0.13917951394132402, 0.09397399734142561, -0.06976000741918305, -0.18293283372447833, 0.4346621041294447, 0.11702355613946452, 0.08808481348082857, 0.14918277820557818, 0.20595656969050277, 0.021380866495098256, 0.0240528348566199, 0.060731709342767566, 0.1072262774294697, 0.27847998143108776, -0.07809696893763635, -0.13396075183648415, 0.01730052256494645, 0.23365933238709158] |
711.2817 | Presentations of Finite Simple Groups: Profinite and Cohomological
Approaches | We prove the following three closely related results. The first is that every
finite simple group has a profinite presentation with 2 generators and at most
18 relations. The second is that if G is a finite simple group, F a field and M
an FG-module, then the dimension of the second cohomology group of G with
coefficients in M is at most 17.5 times the dimension of M. The third result is
that we may replace 17.5 by 18.5 as long as M is faithful irreducible G-module.
These last two results answer conjectures of Holt.
| math.GR math.RT | we prove the following three closely related results the first is that every finite simple group has a profinite presentation with 2 generators and at most 18 relations the second is that if g is a finite simple group f a field and m an fgmodule then the dimension of the second cohomology group of g with coefficients in m is at most 175 times the dimension of m the third result is that we may replace 175 by 185 as long as m is faithful irreducible gmodule these last two results answer conjectures of holt | [['we', 'prove', 'the', 'following', 'three', 'closely', 'related', 'results', 'the', 'first', 'is', 'that', 'every', 'finite', 'simple', 'group', 'has', 'a', 'profinite', 'presentation', 'with', '2', 'generators', 'and', 'at', 'most', '18', 'relations', 'the', 'second', 'is', 'that', 'if', 'g', 'is', 'a', 'finite', 'simple', 'group', 'f', 'a', 'field', 'and', 'm', 'an', 'fgmodule', 'then', 'the', 'dimension', 'of', 'the', 'second', 'cohomology', 'group', 'of', 'g', 'with', 'coefficients', 'in', 'm', 'is', 'at', 'most', '175', 'times', 'the', 'dimension', 'of', 'm', 'the', 'third', 'result', 'is', 'that', 'we', 'may', 'replace', '175', 'by', '185', 'as', 'long', 'as', 'm', 'is', 'faithful', 'irreducible', 'gmodule', 'these', 'last', 'two', 'results', 'answer', 'conjectures', 'of', 'holt']] | [-0.17298438539728522, 0.15459462635180898, -0.10155997390499276, -0.012771859350323211, -0.0969905152451247, -0.13956234182599778, -0.02109361170732882, 0.34551384911173955, -0.2643869053499657, -0.2687597683107015, 0.12952723351554596, -0.2982861847267486, -0.12364654014042269, 0.20938107534311712, -0.09837882128097893, -0.07283578417506457, 0.028588496633650113, 0.14386570994004919, -0.08830599537517021, -0.3173314173473045, 0.3491157182434108, -0.026134294806979597, 0.18677706891321577, 0.04948606949377184, 0.12057807326103405, -0.013581948410622621, -0.023727360079647042, -0.012884160755978277, -0.1276061625769671, 0.06860969339807828, 0.27811215207596734, 0.05823775088598874, 0.2807854571631954, -0.32096341454447, -0.10765649590757675, 0.14024491517435914, 0.09256166167582099, 0.01247579431704556, -0.015286660823524775, -0.20260248073221496, 0.18613741061199107, -0.18938132066978142, -0.13187641122203786, 0.0019468151731416583, 0.14085439584475049, -0.03949773279600777, -0.24402295340163013, 0.011070374310899448, 0.08584123907591372, 0.09192692331271246, -0.0263493073337789, -0.1207375553737317, -0.03881720810022671, 0.11730710720924738, -0.011332601723182734, 0.08917233115547181, 0.05603764473865643, -0.065864133478802, -0.13002336012141313, 0.409537004607652, -0.11551592511629376, -0.1389873480075039, 0.1724279154538332, -0.20388796718422478, -0.1804187807526129, 0.11480687927299489, 0.0422893205031869, 0.1388292745881093, -0.08118270545188959, 0.14585733444134044, -0.1620588330551982, 0.14532523148227483, 0.06044368812581524, -0.05409532850899268, 0.10331551420434455, 0.12181831246319537, 0.093599265353987, 0.0662577744757679, -0.008615102618932724, 0.06683925511606503, -0.35572717814162996, -0.19178696924548908, -0.20235645022573104, 0.11063269448156159, -0.11894081757994475, -0.08077558985678479, 0.38239424031538266, 0.08524973578581314, 0.2026641434446598, 0.10867020241372909, 0.21742092955779904, 0.09590347084789148, 0.05301530908279043, 0.1222189834419017, 0.12010765079564105, 0.22000898884774264, -0.04154726839624345, -0.13164097909915048, -0.008416782036268463, 0.16401266542379744] |
711.2818 | Magnetorotational instability in electrically driven fluids | The linear stability of electrically driven flow of liquid metal in circular
channel in the presence of vertical magnetic field is studied. It is shown that
the instability threshold of such flow is determined by magnetorotational
instability of non-axisymmetric modes ($m\neq0$) and does not depend on the
type of the fluid if magnetic Prandtl number is small $\Pr\ll1$. Our numerical
results are found to be in a good agreement with available experimental data
from Grenoble High Magnetic Field Laboratory, France [P. Moresco and T.
Alboussi\`{e}re, J. Fluid Mech. \textbf{504}, 167 (2004)].
| astro-ph | the linear stability of electrically driven flow of liquid metal in circular channel in the presence of vertical magnetic field is studied it is shown that the instability threshold of such flow is determined by magnetorotational instability of nonaxisymmetric modes mneq0 and does not depend on the type of the fluid if magnetic prandtl number is small prll1 our numerical results are found to be in a good agreement with available experimental data from grenoble high magnetic field laboratory france p moresco and t alboussiere j fluid mech textbf504 167 2004 | [['the', 'linear', 'stability', 'of', 'electrically', 'driven', 'flow', 'of', 'liquid', 'metal', 'in', 'circular', 'channel', 'in', 'the', 'presence', 'of', 'vertical', 'magnetic', 'field', 'is', 'studied', 'it', 'is', 'shown', 'that', 'the', 'instability', 'threshold', 'of', 'such', 'flow', 'is', 'determined', 'by', 'magnetorotational', 'instability', 'of', 'nonaxisymmetric', 'modes', 'mneq0', 'and', 'does', 'not', 'depend', 'on', 'the', 'type', 'of', 'the', 'fluid', 'if', 'magnetic', 'prandtl', 'number', 'is', 'small', 'prll1', 'our', 'numerical', 'results', 'are', 'found', 'to', 'be', 'in', 'a', 'good', 'agreement', 'with', 'available', 'experimental', 'data', 'from', 'grenoble', 'high', 'magnetic', 'field', 'laboratory', 'france', 'p', 'moresco', 'and', 't', 'alboussiere', 'j', 'fluid', 'mech', 'textbf504', '167', '2004']] | [-0.1871642522627636, 0.1912659356656315, -0.05313371042244729, -0.020254565926734358, -0.07400673809620044, -0.12394915348109366, -0.03308644226688722, 0.3000288247977468, -0.23468241520987992, -0.33593490766361356, 0.0748091240278551, -0.26032930074936966, -0.07281458645593375, 0.22668476097963072, -0.03527197286761789, 0.05519739963876253, 0.04173369670223275, 0.00010484545385803689, 0.03955465597788465, -0.1991847489685328, 0.25424495902420446, 0.0868886578404768, 0.32092431199172017, 0.030260606441350483, 0.04628904449981002, -0.06339534482685849, -0.0034703211065127766, 0.07718679516322234, -0.1969752560865924, -0.03090858705796894, 0.23627386290834032, -0.01898345723748207, 0.22379402504090898, -0.4468763548542153, -0.19168409751728177, 0.030913877840661866, 0.11591690555161965, 0.0895938982615586, -0.06038932321693706, -0.2298065934287892, 0.1236358394592323, -0.13952086163176733, -0.12364725315075537, -0.06648836516383612, 0.06138230893570422, 0.06542538088416966, -0.32652099761286413, 0.15070769616365645, 0.07862428622320294, 0.1479158509861339, -0.08452017644198019, -0.10766446250702509, -0.11644273888139817, 0.04242435872385448, 0.09743043966326778, 0.09265711305091497, 0.15677401548865336, -0.13630349567922, -0.03963253707413308, 0.35254101918756287, -0.07740090221738104, -0.1597217831886982, 0.20624006171882767, -0.22665659474230118, -0.04885466855061664, 0.17912585825913332, 0.15326099170752885, 0.11807522541758689, -0.07020828056424348, 0.09690674365662165, -0.10310816105497493, 0.15383179393194785, 0.08297625756081702, -0.07194779713881871, 0.2186647356952149, 0.16845935279376467, -0.01692939900914842, 0.08088147028650962, -0.1230961333097763, -0.06485308386353691, -0.2809240171548233, -0.11961940384935588, -0.18722543317231943, 0.027153098219059757, -0.02614322324271515, -0.15214706782816476, 0.31428969819733704, 0.11654720963402228, 0.12999322431542995, -0.07839914996557953, 0.26074879891133274, 0.08210108612415339, 0.01693109364185313, 0.1595434163993394, 0.35017940681427717, 0.21642417533968744, 0.15470289063788104, -0.27002897738764825, 0.02751319066473198, 0.01376646706855602] |
711.2819 | A computation of an universal weight function for the quantum affine
algebra U_q(\hat{\mathfrak{gl}}_N) | We compute an universal weight function (off-shell Bethe vectors) in any
representation with a weight singular vector of the quantum affine algebra
$U_q(\hat{\mathfrak{gl}}_N)$ applying the method of projections of Drinfeld
currents developed in arXiv:math/0610398.
| math.QA hep-th math-ph math.MP nlin.SI | we compute an universal weight function offshell bethe vectors in any representation with a weight singular vector of the quantum affine algebra u_qhatmathfrakgl_n applying the method of projections of drinfeld currents developed in arxivmath0610398 | [['we', 'compute', 'an', 'universal', 'weight', 'function', 'offshell', 'bethe', 'vectors', 'in', 'any', 'representation', 'with', 'a', 'weight', 'singular', 'vector', 'of', 'the', 'quantum', 'affine', 'algebra', 'u_qhatmathfrakgl_n', 'applying', 'the', 'method', 'of', 'projections', 'of', 'drinfeld', 'currents', 'developed', 'in', 'arxivmath0610398']] | [-0.15769551858080155, 0.11140349373674711, -0.0878335799401005, 0.017990211666928546, -0.10371876615240719, -0.13485402266925314, 0.0031058744414511957, 0.339900402860208, -0.36041751058038435, -0.0994202730556329, 0.020804088513338655, -0.21675305790973431, -0.1911910715315378, 0.15512517317565103, -0.06623195837054288, 0.09274782038604219, 0.05363931508283272, 0.13703059314778357, -0.22529119651087307, -0.25898742647559353, 0.4075884943207105, 0.00935368658621993, 0.30154020652513613, -0.006398919461803002, 0.19795638729225506, 0.12655391603369603, -0.022061590020629494, -0.07027926995898738, -0.09567842578910517, 0.19047847198265971, 0.3094924088906158, 0.10583399636953165, 0.17201794638778223, -0.3822338484001882, -0.07416103498050661, 0.16596251918059407, 0.15867266866068044, 0.10896951583863208, 0.023609542598327, -0.2500449553640051, 0.0710872425133306, -0.2562156928646745, -0.18979809105847822, -0.13403570745140314, 0.027251823833494476, -0.04610235960871884, -0.2691842803844448, 0.030424433732123085, 0.04116081521902798, 0.11524283044943304, -0.15287218527924834, -0.17432334872357774, -0.04860547309120496, 0.026777445522108763, -0.07527655365905075, 0.10620369189277742, 0.13228198176136974, -0.1882574889583118, -0.22720589731453042, 0.22783553908635495, -0.013046332007048257, -0.3071352541446686, 0.04822846662930467, -0.12466672690811031, -0.13358004902009712, 0.08117705081222636, 0.11453422423536805, 0.09231532304053844, -0.09666950978112943, 0.2156490396397809, -0.08790615793656219, 0.006359688189783783, 0.06619799320557804, -0.040852242205856426, 0.13819205791999897, 0.004792535621108431, 0.03290630374668223, 0.1563962071880021, -0.00546899363116333, -0.052205565187967186, -0.3572825915885694, -0.20710698139825554, -0.19453179951982968, 0.1236195029323977, -0.17737377542212154, -0.24669076934118161, 0.4469105736775832, 0.12252870085649192, 0.24876917966387488, 0.09866932305422696, 0.23041903204990155, 0.22713416504363218, 0.16390125555070964, 0.11225614630419647, 0.10534532765229938, 0.2705065919382667, -0.03881894283448205, -0.1778676820298036, -0.07015020738772089, 0.2681214405844609] |
711.282 | p-Adic refinable functions and MRA-based wavelets | We described a wide class of $p$-adic refinable equations generating $p$-adic
multiresolution analysis. A method for the construction of $p$-adic orthogonal
wavelet bases within the framework of the MRA theory is suggested. A
realization of this method is illustrated by an example, which gives a new
3-adic wavelet basis. Another realization leads to the $p$-adic Haar bases
which were known before.
| math.GM math-ph math.MP | we described a wide class of padic refinable equations generating padic multiresolution analysis a method for the construction of padic orthogonal wavelet bases within the framework of the mra theory is suggested a realization of this method is illustrated by an example which gives a new 3adic wavelet basis another realization leads to the padic haar bases which were known before | [['we', 'described', 'a', 'wide', 'class', 'of', 'padic', 'refinable', 'equations', 'generating', 'padic', 'multiresolution', 'analysis', 'a', 'method', 'for', 'the', 'construction', 'of', 'padic', 'orthogonal', 'wavelet', 'bases', 'within', 'the', 'framework', 'of', 'the', 'mra', 'theory', 'is', 'suggested', 'a', 'realization', 'of', 'this', 'method', 'is', 'illustrated', 'by', 'an', 'example', 'which', 'gives', 'a', 'new', '3adic', 'wavelet', 'basis', 'another', 'realization', 'leads', 'to', 'the', 'padic', 'haar', 'bases', 'which', 'were', 'known', 'before']] | [-0.16050366629067747, 0.054667322860399, -0.21741427273535338, 0.05157987000306183, -0.1083741270188914, -0.08166637173930152, 0.004656108111509534, 0.3023466284341011, -0.3036623799287882, -0.18504196829849578, 0.07486967009980781, -0.14768223198833036, -0.23070430689964627, 0.278302097715987, -0.08484937307485914, 0.08436028436437006, 0.01706477401197934, 0.07715480205923562, -0.10232634286655755, -0.2578860831095791, 0.2957845892772445, 0.06969356171969997, 0.31137209388686987, -0.07960460742660722, 0.12046210305024793, 0.010945232898057973, -0.10909083068798311, -0.09824005108265603, -0.10160725582085672, 0.20401716687273783, 0.3361854894758492, 0.1113094013550731, 0.3095620680356123, -0.3344463846172954, -0.1818647118181288, 0.12030526401940733, 0.12640573896589827, 0.07982791326253018, -0.07014805185379552, -0.31940305348271963, 0.059888993847932, -0.18219529267889065, -0.1882324209818464, -0.1671056103907892, -0.007137905554387902, 0.0014743037888261137, -0.3519174475528178, 0.040463925255309854, 0.07906552082019262, 0.14705561102963374, -0.09831172906312725, -0.1245163831493405, 0.04541370842117266, 0.0023266607208452263, -0.02770182430423552, 0.07996989600169549, 0.07419785004124411, 0.021306017654199826, -0.16022238718559506, 0.3698413032183393, -0.03699625101795451, -0.24421291205970969, 0.12104893638370712, -0.09208444175386771, -0.19352683019595313, 0.12529837456150134, 0.10943804331673462, 0.12419868944609752, -0.12844109724535316, 0.13096929865244672, -0.1478386445459528, 0.1197529231488216, 0.11767159817267026, -0.01904801577024284, 0.168159912523554, 0.13523506051784412, 0.04142805373632028, 0.18742167792420406, -0.029019400920169275, -0.08556791558312099, -0.3495107464125899, -0.1598224513825281, -0.22552354960534415, 0.016731323691497206, -0.11521747867866862, -0.24669687462146164, 0.4589981244052531, 0.10285007074231008, 0.14460973202663122, 0.07830462563920339, 0.229889450075685, 0.14398254851093056, 0.08145461839119919, -0.008867806907682145, 0.07204837327609297, 0.20997412320318037, -0.03006899327833633, -0.08110958179000949, -0.059037026098059095, 0.22368415247374138] |
711.2821 | On the universal weight function for the quantum affine algebra
U_q(\hat{\mathfrak{gl}}_N) | We continue investigation of the universal weight function for the quantum
affine algebra $U_q(\hat{\mathfrak{gl}}_N)$ started in arXiv:math/0610517 and
arXiv:0711.2819. We obtain two recurrence relations for the universal weight
function applying the method of projections developed in arXiv:math/0610398. On
the level of the evaluation representation of $U_q(\hat{\mathfrak{gl}}_N)$ we
reproduce both recurrence relations for the off-shell Bethe vectors calculated
in arXiv:math/0702277 using combinatorial methods.
| math.QA hep-th math-ph math.MP nlin.SI | we continue investigation of the universal weight function for the quantum affine algebra u_qhatmathfrakgl_n started in arxivmath0610517 and arxiv07112819 we obtain two recurrence relations for the universal weight function applying the method of projections developed in arxivmath0610398 on the level of the evaluation representation of u_qhatmathfrakgl_n we reproduce both recurrence relations for the offshell bethe vectors calculated in arxivmath0702277 using combinatorial methods | [['we', 'continue', 'investigation', 'of', 'the', 'universal', 'weight', 'function', 'for', 'the', 'quantum', 'affine', 'algebra', 'u_qhatmathfrakgl_n', 'started', 'in', 'arxivmath0610517', 'and', 'arxiv07112819', 'we', 'obtain', 'two', 'recurrence', 'relations', 'for', 'the', 'universal', 'weight', 'function', 'applying', 'the', 'method', 'of', 'projections', 'developed', 'in', 'arxivmath0610398', 'on', 'the', 'level', 'of', 'the', 'evaluation', 'representation', 'of', 'u_qhatmathfrakgl_n', 'we', 'reproduce', 'both', 'recurrence', 'relations', 'for', 'the', 'offshell', 'bethe', 'vectors', 'calculated', 'in', 'arxivmath0702277', 'using', 'combinatorial', 'methods']] | [-0.10633371478139327, 0.0601875815251521, -0.10959354659606671, 0.11486111273627793, -0.04849905780805596, -0.08383087212609223, 0.0638801647261877, 0.3618578972487614, -0.28991045244038105, -0.20703767215961527, 0.060747514898358876, -0.24299770426647416, -0.18641415052881147, 0.23759065309924812, -0.013635983112557181, 0.1025479690669554, 0.05903678647531518, 0.06607006426001417, -0.18293045880461156, -0.24215726663583312, 0.3608295640362234, 0.0014869486973299805, 0.28803782943828865, 0.01497972345557706, 0.1383523017505248, 0.09627834212131284, -0.08118476590205884, -0.03115069691156005, -0.18046202797217872, 0.15218253077232632, 0.23602013589798249, 0.14956817917268853, 0.18120534454697165, -0.4124950011870984, -0.09643182541837851, 0.08926636605234496, 0.1636150020560057, 0.08217913082576003, 0.008966043629635382, -0.22582255289006722, 0.06054769580027666, -0.19228205592612382, -0.13391709539653926, -0.12140486305900688, 0.023019929528878682, 0.013572940506554883, -0.23520026595235385, 0.06104160649380807, 0.054165789893635644, 0.10232973050382309, -0.11968453002065935, -0.15119725093245506, 0.013858378383106199, 0.13467305670652924, -0.03926590614920032, 0.00796754776494144, 0.05461895746853331, -0.14605575042038127, -0.1528249358565643, 0.29063448444779577, -0.02180711307627117, -0.22358862458374992, 0.1227423579528414, -0.1519342945117889, -0.21907495944921312, 0.04434358400838642, 0.1504141904638502, 0.06429534763145935, -0.13218513977360621, 0.11923380675304135, -0.05533082327195283, 0.06752277557047662, 0.07174122070187125, 0.0039301166503593835, 0.1389140635728836, 0.09319410134299562, -0.027444532574636155, 0.16834446387204888, -0.00947957646085656, -0.08877361198116479, -0.3172991827997411, -0.18994854888397045, -0.17727005023685893, 0.0487745421424765, -0.13375128662702426, -0.17335363596292405, 0.43047924776529445, 0.1449168096858494, 0.21163043238479515, 0.1429769529415102, 0.20622385563007717, 0.20776218220045597, 0.10365818646447413, 0.0572295767849247, 0.17653707749459185, 0.19571682031202162, 0.03616167136853368, -0.21046764678161206, 0.010682356609071702, 0.22119968135616389] |
711.2822 | Thermodynamic and quantum entropy gain of frame averaging | We are discussing a universal non-unitary map M subsequent to a generic
unitary map U, whose von Neumann entropy gain coincides with the calculated
thermodynamic entropy production. For many-body quantum reservoirs we prove
that M can be the averaging over all translations of the spatial frame.
Assuming the coincidence of microscopic and macroscopic entropy productions
leads to a novel equation between entropy gain of frame averaging and relative
entropy. Our map M turns out to coincide with the older one called twirl, used
recently in the theory of quantum reference frames. Related results to ours
have been obtained and we discuss some of them briefly. Possible relevance of
frame averaging (twirling) for real world irreversibility is mentioned.
| quant-ph cond-mat.stat-mech gr-qc math-ph math.MP | we are discussing a universal nonunitary map m subsequent to a generic unitary map u whose von neumann entropy gain coincides with the calculated thermodynamic entropy production for manybody quantum reservoirs we prove that m can be the averaging over all translations of the spatial frame assuming the coincidence of microscopic and macroscopic entropy productions leads to a novel equation between entropy gain of frame averaging and relative entropy our map m turns out to coincide with the older one called twirl used recently in the theory of quantum reference frames related results to ours have been obtained and we discuss some of them briefly possible relevance of frame averaging twirling for real world irreversibility is mentioned | [['we', 'are', 'discussing', 'a', 'universal', 'nonunitary', 'map', 'm', 'subsequent', 'to', 'a', 'generic', 'unitary', 'map', 'u', 'whose', 'von', 'neumann', 'entropy', 'gain', 'coincides', 'with', 'the', 'calculated', 'thermodynamic', 'entropy', 'production', 'for', 'manybody', 'quantum', 'reservoirs', 'we', 'prove', 'that', 'm', 'can', 'be', 'the', 'averaging', 'over', 'all', 'translations', 'of', 'the', 'spatial', 'frame', 'assuming', 'the', 'coincidence', 'of', 'microscopic', 'and', 'macroscopic', 'entropy', 'productions', 'leads', 'to', 'a', 'novel', 'equation', 'between', 'entropy', 'gain', 'of', 'frame', 'averaging', 'and', 'relative', 'entropy', 'our', 'map', 'm', 'turns', 'out', 'to', 'coincide', 'with', 'the', 'older', 'one', 'called', 'twirl', 'used', 'recently', 'in', 'the', 'theory', 'of', 'quantum', 'reference', 'frames', 'related', 'results', 'to', 'ours', 'have', 'been', 'obtained', 'and', 'we', 'discuss', 'some', 'of', 'them', 'briefly', 'possible', 'relevance', 'of', 'frame', 'averaging', 'twirling', 'for', 'real', 'world', 'irreversibility', 'is', 'mentioned']] | [-0.1214910018015016, 0.1415705994193434, -0.09967099325621946, 0.06958303350306506, -0.02318972418220061, -0.15784327214201674, 0.03204457401835288, 0.3450789412495513, -0.287326281134071, -0.21148274316746965, 0.03550345592228616, -0.3019421948438399, -0.08306631522698917, 0.19062542279935482, -0.09100605877769044, 0.09700453548710077, 0.06570070639300422, 0.11935463449400333, -0.13120958005111966, -0.25006421587855804, 0.32641415738174295, 0.06174804655333551, 0.25635717284236836, 0.0368241728323265, 0.14342564660419002, -0.017534852417934146, -0.06213302711377111, 0.05180862697605521, -0.15155716772365602, 0.11434763016449845, 0.24950422473952302, 0.13415451169025916, 0.2239142365865091, -0.3803512141204033, -0.225821422221951, 0.1313927550919545, 0.08529399445630674, 0.10627028268849494, 0.0024037404427639185, -0.3050821184650318, 0.0703731570392847, -0.18552117292474732, -0.09955983716819404, -0.11956435945840219, 0.04796366479534369, -0.004378730214288474, -0.218062663757298, 0.10629317245613305, 0.07877491254084117, 0.044404558672243334, -0.06664634501545602, -0.06541841961921026, -0.024153202396029465, 0.1222673120478598, 0.020332524391750876, 0.03343857741222168, 0.15963413760575473, -0.03731991190654345, -0.11353420744387385, 0.3615873809426259, -0.0863241443458276, -0.1975859098582186, 0.1763981418290104, -0.13884271460915637, -0.10609190240621758, 0.07163215011386122, 0.07218349023929073, 0.07802949092374781, -0.15614014886255956, 0.09656341833860463, -0.03909488239238023, 0.13264301743629014, 0.12361643981570616, 0.06369508661600387, 0.1943185905364748, 0.08387258316939458, 0.047190841906266205, 0.164051972305239, -0.04999360999586976, -0.17670025664200592, -0.36756249393026036, -0.20695380216989762, -0.17168946153559905, 0.10811912548791967, -0.0911442760342551, -0.11808015334491546, 0.34851145098765945, 0.15779181042861226, 0.2224400028283907, 0.06362854397624858, 0.21053321721653143, 0.14755906926121753, 0.03991355351371388, 0.07402815436944366, 0.2161277012760715, 0.18854468366783908, 0.08287723474980642, -0.23696314566967708, -0.012313330333090873, 0.11925872894497509] |
711.2823 | Dark matter's X-files | Sterile neutrinos with keV masses can constitute all or part of the
cosmological dark matter. The electroweak-singlet fermions, which are usually
introduced to explain the masses of active neutrinos, need not be heavier than
the electroweak scale; if one of them has a keV-scale mass, it can be the
dark-matter particle, and it can also explain the observed pulsar kicks. The
relic sterile neutrinos could be produced by several different mechanisms. If
they originate primarily from the Higgs decays at temperatures of the order of
100 GeV, the resulting dark matter is much ``colder'' than the warm dark matter
produced in neutrino oscillations. The signature of this form of dark matter is
the spectral line from the two-body decay, which can be detected by the X-ray
telescopes. The same X-rays can have other observable manifestations, in
particular, though their effects on the formation of the first stars.
| astro-ph hep-ph | sterile neutrinos with kev masses can constitute all or part of the cosmological dark matter the electroweaksinglet fermions which are usually introduced to explain the masses of active neutrinos need not be heavier than the electroweak scale if one of them has a kevscale mass it can be the darkmatter particle and it can also explain the observed pulsar kicks the relic sterile neutrinos could be produced by several different mechanisms if they originate primarily from the higgs decays at temperatures of the order of 100 gev the resulting dark matter is much colder than the warm dark matter produced in neutrino oscillations the signature of this form of dark matter is the spectral line from the twobody decay which can be detected by the xray telescopes the same xrays can have other observable manifestations in particular though their effects on the formation of the first stars | [['sterile', 'neutrinos', 'with', 'kev', 'masses', 'can', 'constitute', 'all', 'or', 'part', 'of', 'the', 'cosmological', 'dark', 'matter', 'the', 'electroweaksinglet', 'fermions', 'which', 'are', 'usually', 'introduced', 'to', 'explain', 'the', 'masses', 'of', 'active', 'neutrinos', 'need', 'not', 'be', 'heavier', 'than', 'the', 'electroweak', 'scale', 'if', 'one', 'of', 'them', 'has', 'a', 'kevscale', 'mass', 'it', 'can', 'be', 'the', 'darkmatter', 'particle', 'and', 'it', 'can', 'also', 'explain', 'the', 'observed', 'pulsar', 'kicks', 'the', 'relic', 'sterile', 'neutrinos', 'could', 'be', 'produced', 'by', 'several', 'different', 'mechanisms', 'if', 'they', 'originate', 'primarily', 'from', 'the', 'higgs', 'decays', 'at', 'temperatures', 'of', 'the', 'order', 'of', '100', 'gev', 'the', 'resulting', 'dark', 'matter', 'is', 'much', 'colder', 'than', 'the', 'warm', 'dark', 'matter', 'produced', 'in', 'neutrino', 'oscillations', 'the', 'signature', 'of', 'this', 'form', 'of', 'dark', 'matter', 'is', 'the', 'spectral', 'line', 'from', 'the', 'twobody', 'decay', 'which', 'can', 'be', 'detected', 'by', 'the', 'xray', 'telescopes', 'the', 'same', 'xrays', 'can', 'have', 'other', 'observable', 'manifestations', 'in', 'particular', 'though', 'their', 'effects', 'on', 'the', 'formation', 'of', 'the', 'first', 'stars']] | [-0.0664746122384051, 0.326772605829245, -0.09175193815675824, 0.20198145028295592, -0.11296129130701325, -0.11250595706451659, -0.03758465893349617, 0.32693952637515505, -0.21827547449213106, -0.3806108600542355, 0.04167864471357189, -0.29718706812582857, 0.03380519893261141, 0.17411824345800925, 0.0687937998358591, -0.038510599870513494, 0.02956484471365404, 0.020191326187400868, -0.03127391576896846, -0.2700341377480765, 0.3089700387093891, 0.0756507439880955, 0.11765494302776801, 0.058070907505469865, 0.032586511683834044, -0.1260280885264835, -0.023375246581957252, -0.07179290003010205, -0.06537924581739915, 0.021898214227748007, 0.18941800403693804, 0.1069792482497481, 0.15002487008744964, -0.4179611019916883, -0.23667307329193063, 0.24780275336257657, 0.20770584120649566, 0.0764235054145941, -0.07644692394125345, -0.3423616380563804, 0.07096256931838231, -0.213147739825935, -0.11560537643908035, 0.007761836077283029, -0.07351793947496585, -0.03354771561971327, -0.22035622753545034, 0.10831090820170021, -0.03979569736180738, -0.08085677122735248, -0.04613594296800137, -0.14462509568381524, -0.04707002343584587, 0.002869070803771923, 0.15982526123403337, -0.04001049196417285, 0.2141351650427824, -0.15948839706596823, -0.08290859250364457, 0.4736986120491206, -0.0848634211494204, -0.07732638712104435, 0.1893526068373843, -0.19334340138126443, -0.14323641697806463, 0.18917811365931161, 0.1364719480985687, 0.07516725322621286, -0.16604446398639153, 0.07511749884967382, -0.07407600598783567, 0.2103463203842644, 0.07686997333313433, 0.07876749813151197, 0.3973570825709474, 0.16157486402630794, 0.046171512817457114, -0.013158537393204588, -0.1391872844540397, -0.001648895382298296, -0.3109866579500388, -0.11554920828590791, -0.1308731499997595, 0.053169066894290254, -0.06267067494469165, -0.08413937976457128, 0.3863755349959975, 0.10758773236358095, 0.19224247457079438, -0.03140990845985761, 0.3197513639461249, 0.10386618742478543, 0.10303809324146382, 0.07388359487538232, 0.3868003068523494, 0.1379825277475729, 0.10629733499507008, -0.22633055010557074, 0.04957608893184232, 0.0017148449187021273] |
711.2824 | Degrees of Freedom of Wireless X Networks | We explore the degrees of freedom of $M\times N$ user wireless $X$ networks,
i.e. networks of $M$ transmitters and $N$ receivers where every transmitter has
an independent message for every receiver. We derive a general outerbound on
the degrees of freedom \emph{region} of these networks. When all nodes have a
single antenna and all channel coefficients vary in time or frequency, we show
that the \emph{total} number of degrees of freedom of the $X$ network is equal
to $\frac{MN}{M+N-1}$ per orthogonal time and frequency dimension.
Achievability is proved by constructing interference alignment schemes for $X$
networks that can come arbitrarily close to the outerbound on degrees of
freedom. For the case where either M=2 or N=2 we find that the outerbound is
exactly achievable. While $X$ networks have significant degrees of freedom
benefits over interference networks when the number of users is small, our
results show that as the number of users increases, this advantage disappears.
Thus, for large $K$, the $K\times K$ user wireless $X$ network loses half the
degrees of freedom relative to the $K\times K$ MIMO outerbound achievable
through full cooperation. Interestingly, when there are few transmitters
sending to many receivers ($N\gg M$) or many transmitters sending to few
receivers ($M\gg N$), $X$ networks are able to approach the $\min(M,N)$ degrees
of freedom possible with full cooperation on the $M\times N$ MIMO channel.
Similar to the interference channel, we also construct an example of a 2 user
$X$ channel with propagation delays where the outerbound on degrees of freedom
is achieved through interference alignment based on a simple TDMA strategy.
| cs.IT math.IT | we explore the degrees of freedom of mtimes n user wireless x networks ie networks of m transmitters and n receivers where every transmitter has an independent message for every receiver we derive a general outerbound on the degrees of freedom emphregion of these networks when all nodes have a single antenna and all channel coefficients vary in time or frequency we show that the emphtotal number of degrees of freedom of the x network is equal to fracmnmn1 per orthogonal time and frequency dimension achievability is proved by constructing interference alignment schemes for x networks that can come arbitrarily close to the outerbound on degrees of freedom for the case where either m2 or n2 we find that the outerbound is exactly achievable while x networks have significant degrees of freedom benefits over interference networks when the number of users is small our results show that as the number of users increases this advantage disappears thus for large k the ktimes k user wireless x network loses half the degrees of freedom relative to the ktimes k mimo outerbound achievable through full cooperation interestingly when there are few transmitters sending to many receivers ngg m or many transmitters sending to few receivers mgg n x networks are able to approach the minmn degrees of freedom possible with full cooperation on the mtimes n mimo channel similar to the interference channel we also construct an example of a 2 user x channel with propagation delays where the outerbound on degrees of freedom is achieved through interference alignment based on a simple tdma strategy | [['we', 'explore', 'the', 'degrees', 'of', 'freedom', 'of', 'mtimes', 'n', 'user', 'wireless', 'x', 'networks', 'ie', 'networks', 'of', 'm', 'transmitters', 'and', 'n', 'receivers', 'where', 'every', 'transmitter', 'has', 'an', 'independent', 'message', 'for', 'every', 'receiver', 'we', 'derive', 'a', 'general', 'outerbound', 'on', 'the', 'degrees', 'of', 'freedom', 'emphregion', 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711.2825 | Development of a new analysis technique to measure low radial-order p
modes in spatially-resolved helioseismic data | In order to take full advantage of the long time series collected by the GONG
and MDI helioseismic projects, we present here an adaptation of the
rotation-corrected $m$-averaged spectrum technique in order to observe low
radial-order solar p modes. Modeled profiles of the solar rotation demonstrated
the potential advantage of such a technique. Here we develop a new analysis
procedure which finds the best estimates of the shift of each $m$ of a given
($n,\ell$) multiplet, commonly expressed as an expansion in a set of orthogonal
polynomials, which yield the narrowest mode in the $m$-averaged spectrum. We
apply the technique to the GONG data for modes with $1 \leq \ell \leq 25$ and
show that it allows us to measure lower-frequency modes than with classic
peak-fitting analysis of the individual-$m$ spectra.
| astro-ph | in order to take full advantage of the long time series collected by the gong and mdi helioseismic projects we present here an adaptation of the rotationcorrected maveraged spectrum technique in order to observe low radialorder solar p modes modeled profiles of the solar rotation demonstrated the potential advantage of such a technique here we develop a new analysis procedure which finds the best estimates of the shift of each m of a given nell multiplet commonly expressed as an expansion in a set of orthogonal polynomials which yield the narrowest mode in the maveraged spectrum we apply the technique to the gong data for modes with 1 leq ell leq 25 and show that it allows us to measure lowerfrequency modes than with classic peakfitting analysis of the individualm spectra | [['in', 'order', 'to', 'take', 'full', 'advantage', 'of', 'the', 'long', 'time', 'series', 'collected', 'by', 'the', 'gong', 'and', 'mdi', 'helioseismic', 'projects', 'we', 'present', 'here', 'an', 'adaptation', 'of', 'the', 'rotationcorrected', 'maveraged', 'spectrum', 'technique', 'in', 'order', 'to', 'observe', 'low', 'radialorder', 'solar', 'p', 'modes', 'modeled', 'profiles', 'of', 'the', 'solar', 'rotation', 'demonstrated', 'the', 'potential', 'advantage', 'of', 'such', 'a', 'technique', 'here', 'we', 'develop', 'a', 'new', 'analysis', 'procedure', 'which', 'finds', 'the', 'best', 'estimates', 'of', 'the', 'shift', 'of', 'each', 'm', 'of', 'a', 'given', 'nell', 'multiplet', 'commonly', 'expressed', 'as', 'an', 'expansion', 'in', 'a', 'set', 'of', 'orthogonal', 'polynomials', 'which', 'yield', 'the', 'narrowest', 'mode', 'in', 'the', 'maveraged', 'spectrum', 'we', 'apply', 'the', 'technique', 'to', 'the', 'gong', 'data', 'for', 'modes', 'with', '1', 'leq', 'ell', 'leq', '25', 'and', 'show', 'that', 'it', 'allows', 'us', 'to', 'measure', 'lowerfrequency', 'modes', 'than', 'with', 'classic', 'peakfitting', 'analysis', 'of', 'the', 'individualm', 'spectra']] | [-0.109905413623885, 0.08882179402569415, -0.08835527795644207, 0.030575173387111996, -0.06364024417894316, -0.08385008987295263, 0.04291779843855734, 0.34500658035079257, -0.24071619583236922, -0.33031205802032626, 0.06949329516985489, -0.25772980964604414, -0.12208999719698238, 0.21394699645399307, -0.011213305328069752, 0.025852783540448614, 0.06648732224330021, 0.024112909477744394, -0.03585705829905133, -0.17380333800252726, 0.24684712670046752, 0.06697590185599472, 0.2768816444098608, -0.03492799184804086, 0.0847399637915322, -0.00010578273191251827, -0.05834796043283498, -0.011737503520149083, -0.15397719976534216, 0.10815710773805284, 0.2282905904078529, 0.1598292262158321, 0.2623278461965441, -0.37139378770304315, -0.1871730452758893, 0.08334424698597374, 0.17884807664730396, 0.07144808269262257, 0.015842861901144034, -0.250951494890059, 0.08817895132033439, -0.14981171164576335, -0.1399733982269318, -0.0796762145771325, 0.015393376321965501, -0.006166485227104134, -0.3262169664683005, 0.042939976859261916, 0.0402535468851792, 0.09452044027537562, -0.062222775913870945, -0.11464122327698664, -0.009346079584282204, 0.1323654019728815, 0.0450603898849253, 0.016463383200457534, 0.05954467056262243, -0.02939140392229217, -0.09815994482522987, 0.36019161295586527, -0.13911037078628918, -0.1090510115151841, 0.12749652349112825, -0.19942572102917513, -0.13940627064612757, 0.12592588350859307, 0.1486061427418768, 0.1324193746221202, -0.09824602683216958, 0.052723057455434784, -0.02321300254992515, 0.19822624262479197, 0.07503798578951137, 0.03209880232199572, 0.1341206773489941, 0.12086007948822648, 0.06438977658421598, 0.11588652733400578, -0.16524823013877937, 0.005529516092181661, -0.2611578313690674, -0.13989423174866056, -0.16208648226709987, 0.03582038716341988, -0.07679604913107162, -0.14608631593889276, 0.43597413718216976, 0.13950530691996557, 0.21917021370187173, 0.04560593841419704, 0.29768907318588433, 0.12090293687907357, 0.0959223014816201, 0.06811803404796328, 0.23065686336796704, 0.1539550584026449, 0.1191170163210908, -0.23149692026173113, -0.03081607997225498, 0.03566166837806351] |
711.2826 | Searching for new homogeneous sine-Gordon theories using T-duality
symmetries | The Homogeneous sine-Gordon (HSG) theories are integrable perturbations of
$G_k/U(1)^{r_G}$ coset CFTs, where $G$ is a simple compact Lie group of rank
$r_G$ and $k>1$ is an integer. Using their T-duality symmetries, we investigate
the relationship between the different theories corresponding to a given coset,
and between the different phases of a particular theory. Our results suggest
that for $G=SU(n)$ with $n\geq5$ and $E_6$ there could be two non-equivalent
HSG theories associated to the same coset, one of which has not been considered
so far.
| hep-th | the homogeneous sinegordon hsg theories are integrable perturbations of g_ku1r_g coset cfts where g is a simple compact lie group of rank r_g and k1 is an integer using their tduality symmetries we investigate the relationship between the different theories corresponding to a given coset and between the different phases of a particular theory our results suggest that for gsun with ngeq5 and e_6 there could be two nonequivalent hsg theories associated to the same coset one of which has not been considered so far | [['the', 'homogeneous', 'sinegordon', 'hsg', 'theories', 'are', 'integrable', 'perturbations', 'of', 'g_ku1r_g', 'coset', 'cfts', 'where', 'g', 'is', 'a', 'simple', 'compact', 'lie', 'group', 'of', 'rank', 'r_g', 'and', 'k1', 'is', 'an', 'integer', 'using', 'their', 'tduality', 'symmetries', 'we', 'investigate', 'the', 'relationship', 'between', 'the', 'different', 'theories', 'corresponding', 'to', 'a', 'given', 'coset', 'and', 'between', 'the', 'different', 'phases', 'of', 'a', 'particular', 'theory', 'our', 'results', 'suggest', 'that', 'for', 'gsun', 'with', 'ngeq5', 'and', 'e_6', 'there', 'could', 'be', 'two', 'nonequivalent', 'hsg', 'theories', 'associated', 'to', 'the', 'same', 'coset', 'one', 'of', 'which', 'has', 'not', 'been', 'considered', 'so', 'far']] | [-0.16051803073025353, 0.18440883161262414, -0.07457252825787734, 0.07832738154268425, -0.12234363470426095, -0.204777563173723, -0.05786364908756999, 0.3829848134136271, -0.22154956499469422, -0.21874203208980839, 0.10886076817821179, -0.2605930499821192, -0.18454634591138788, 0.15119801796529264, -0.05248771513634849, -0.026587976885604717, -0.033027490510513804, 0.10498117685451039, -0.14003923962480344, -0.27845455862725865, 0.3397149815545639, -0.030930265407299713, 0.24565063756779723, 0.006523433595984464, 0.1088050513963459, -0.06857912799543035, 0.039820079131805824, 0.00837076666565346, -0.13369254502677427, 0.11471389251251128, 0.2970991955238181, 0.06987655735186611, 0.16182285075497238, -0.4062762205001144, -0.22322086391172238, 0.15467067733628764, 0.1574823762168221, 0.09048731483580057, -0.015125822985456103, -0.2843237615279144, 0.09286476651946682, -0.1747256402436289, -0.10984848290016609, -0.025587989782382334, 0.05776835396093139, -0.0523559376375661, -0.23504777849718397, 0.03676824406665262, 0.022888260849174998, 0.07616721020756467, -0.044116609652216233, -0.09999750701466664, -0.09942944473420669, 0.12020140865795492, 0.059675832716969864, 0.04089966941336613, 0.0502959267469123, -0.10548651926053156, -0.1615525060943106, 0.397133478783958, -0.013372639316089806, -0.2364634055799494, 0.1979045907639721, -0.14219403409671422, -0.19466536074677215, 0.06364846049109474, 0.0745858472794117, 0.1600451580850945, -0.08280548342459258, 0.15976803673090348, -0.09817101203537147, 0.11019955228437625, 0.06177703112119898, 0.009384863549799081, 0.24094887958129957, 0.08802138288350154, 0.025538482653376247, 0.10394895876275509, 0.01986876524738147, -0.0880754976699661, -0.3754238209997614, -0.11887861317622342, -0.13109500416820602, 0.08729450092003044, -0.12534001278860765, -0.15340933067324972, 0.39441193079221104, 0.07911142464477702, 0.16773086749647823, 0.057677330500501695, 0.12940234775167136, 0.1122790676641411, 0.09137110263691284, 0.06197394766578717, 0.20395696734166927, 0.18433654812785485, -0.07416944185804043, -0.19437721337003278, -0.10660243451240517, 0.14702067651697212] |
711.2827 | Quantum secure direct communication based on supervised teleportation | We present a quantum secure direct communication(QSDC) scheme as an extension
for a proposed supervised secure entanglement sharing protocol. Starting with a
quick review on the supervised entanglement sharing protocol -- the "Wuhan"
protocol [Y. Li and Y. Liu, arXiv:0709.1449v2], we primarily focus on its
further extend using for a QSDC task, in which the communication attendant
Alice encodes the secret message directly onto a sequence of 2-level particles
which then can be faithfully teleported to Bob using the shared maximal
entanglement states obtained by the previous "Wuhan" protocol. We also evaluate
the security of the QSDC scheme, where an individual self-attack performed by
Alice and Bob -- the out of control attack(OCA) is introduced and the
robustness of our scheme on the OCA is documented.
| quant-ph | we present a quantum secure direct communicationqsdc scheme as an extension for a proposed supervised secure entanglement sharing protocol starting with a quick review on the supervised entanglement sharing protocol the wuhan protocol y li and y liu arxiv07091449v2 we primarily focus on its further extend using for a qsdc task in which the communication attendant alice encodes the secret message directly onto a sequence of 2level particles which then can be faithfully teleported to bob using the shared maximal entanglement states obtained by the previous wuhan protocol we also evaluate the security of the qsdc scheme where an individual selfattack performed by alice and bob the out of control attackoca is introduced and the robustness of our scheme on the oca is documented | [['we', 'present', 'a', 'quantum', 'secure', 'direct', 'communicationqsdc', 'scheme', 'as', 'an', 'extension', 'for', 'a', 'proposed', 'supervised', 'secure', 'entanglement', 'sharing', 'protocol', 'starting', 'with', 'a', 'quick', 'review', 'on', 'the', 'supervised', 'entanglement', 'sharing', 'protocol', 'the', 'wuhan', 'protocol', 'y', 'li', 'and', 'y', 'liu', 'arxiv07091449v2', 'we', 'primarily', 'focus', 'on', 'its', 'further', 'extend', 'using', 'for', 'a', 'qsdc', 'task', 'in', 'which', 'the', 'communication', 'attendant', 'alice', 'encodes', 'the', 'secret', 'message', 'directly', 'onto', 'a', 'sequence', 'of', '2level', 'particles', 'which', 'then', 'can', 'be', 'faithfully', 'teleported', 'to', 'bob', 'using', 'the', 'shared', 'maximal', 'entanglement', 'states', 'obtained', 'by', 'the', 'previous', 'wuhan', 'protocol', 'we', 'also', 'evaluate', 'the', 'security', 'of', 'the', 'qsdc', 'scheme', 'where', 'an', 'individual', 'selfattack', 'performed', 'by', 'alice', 'and', 'bob', 'the', 'out', 'of', 'control', 'attackoca', 'is', 'introduced', 'and', 'the', 'robustness', 'of', 'our', 'scheme', 'on', 'the', 'oca', 'is', 'documented']] | [-0.15997447479361046, 0.06490532368018952, -0.1309182116606583, 0.01643374005216174, 0.012753460265230387, -0.2876249489141628, 0.13230191717399672, 0.3653466147836298, -0.2828767377184704, -0.26105839484371246, 0.06229215930119002, -0.24796768413313355, -0.0749033174593933, 0.197848064902549, -0.14098548412051362, 0.11001211145630804, 0.05907966994830834, 0.05186211133841425, -0.017643368686549366, -0.3223506800830364, 0.31730860166523295, 0.08463119796457856, 0.31269119496961745, 0.04852018826059066, 0.13019319634574156, 0.08305605600665635, -0.05516292598719398, -0.06215358494082466, -0.11218490946339443, 0.11819896270705309, 0.2698571353025424, 0.18815590543672442, 0.28159175685917337, -0.3635438032215461, -0.1946560707835791, 0.08116434641803304, 0.11832770281083262, 0.14368041498237288, -0.062480740818136836, -0.3577358629244069, 0.07865146559391481, -0.2612819170608418, -0.02039555211473877, -0.06534038176760078, -0.05679133131537431, -0.021222916102851742, -0.2769414185235898, -0.015525472763935491, 0.04237745970992061, 0.05306352815241553, 0.042313033709918575, 3.124818516274293e-05, -0.02408174046431668, 0.1766094538664523, -0.07499512086700028, 0.059452683408744635, 0.12154151505868262, -0.061999971838122295, -0.18396696112661934, 0.31540283566961685, -0.024936531881879394, -0.1861097468373676, 0.13311695561860687, -0.035023055404114226, -0.12046089174691588, 0.037822594481986015, 0.14828620569314807, 0.12973603359035527, -0.13262203690440705, 0.040316388048328614, -0.09654053877651071, 0.2234961232636124, 0.02414131055799468, 0.10462430329062045, 0.12618158827535808, 0.13162293047450171, 0.06474497491920678, 0.15004397377197165, -0.04558233483888519, -0.12761871753415713, -0.27773610857936243, -0.19924897409509867, -0.26809863831537467, 0.03238734061596915, -0.043924507045085194, -0.03402128225231233, 0.38305802862672256, 0.14424977307462541, 0.17982773658974718, 0.033991603064350784, 0.38958191427906663, 0.002098875516094267, 0.028962468400519963, 0.13338242161504846, 0.21692922052558666, 0.11650434721959754, 0.12275457613868639, -0.23251580375945197, 0.10746062418135503, 0.07647482419852167] |
711.2828 | Comment on the Alday-Maldacena solution in calculating scattering
amplitude via AdS/CFT | Following the recent proposal of Alday and Maldacena to obtain the strong
coupling scattering amplitude in N=4 SYM via AdS/CFT, we point out that a
unique solution can be obtained by imposing all the Virasoro constraints. In
the case of four-gluon scattering, this solution is identical to the
Alday-Maldacena solution, which is in accordance with the ansatz of Bern, Dixon
and Smirnov. This also solves the moduli space problem of the four-point
solution in a recent paper of Mironov, Morozov and Tomaras.
| hep-th | following the recent proposal of alday and maldacena to obtain the strong coupling scattering amplitude in n4 sym via adscft we point out that a unique solution can be obtained by imposing all the virasoro constraints in the case of fourgluon scattering this solution is identical to the aldaymaldacena solution which is in accordance with the ansatz of bern dixon and smirnov this also solves the moduli space problem of the fourpoint solution in a recent paper of mironov morozov and tomaras | [['following', 'the', 'recent', 'proposal', 'of', 'alday', 'and', 'maldacena', 'to', 'obtain', 'the', 'strong', 'coupling', 'scattering', 'amplitude', 'in', 'n4', 'sym', 'via', 'adscft', 'we', 'point', 'out', 'that', 'a', 'unique', 'solution', 'can', 'be', 'obtained', 'by', 'imposing', 'all', 'the', 'virasoro', 'constraints', 'in', 'the', 'case', 'of', 'fourgluon', 'scattering', 'this', 'solution', 'is', 'identical', 'to', 'the', 'aldaymaldacena', 'solution', 'which', 'is', 'in', 'accordance', 'with', 'the', 'ansatz', 'of', 'bern', 'dixon', 'and', 'smirnov', 'this', 'also', 'solves', 'the', 'moduli', 'space', 'problem', 'of', 'the', 'fourpoint', 'solution', 'in', 'a', 'recent', 'paper', 'of', 'mironov', 'morozov', 'and', 'tomaras']] | [-0.13898560510557376, 0.0714410999789834, -0.124276524455643, 0.03992796129328601, -0.07702820552053091, -0.10740350043102179, 0.014283734720119816, 0.2656274554262191, -0.20739519601561313, -0.23221755616458845, 0.1003110905596124, -0.308681946132838, -0.1935832529892156, 0.1286820513821483, -0.05195525401260382, 0.1003633486451926, 0.05122691554442784, -0.010340065772955617, -0.08768733234121752, -0.2783296788542497, 0.34430528100993896, 0.04279158442614623, 0.27505338470233076, 0.11807665247240184, 0.095532184564451, 0.07028588175164237, 0.001694895016650359, 0.01825304070083758, -0.10932985423062712, 0.1289420709528466, 0.24267378954481286, 0.11208056837872223, 0.14564559052203907, -0.4191877725821586, -0.17922161886595006, 0.0519644957334723, 0.16422850886980692, 0.13564763893517034, 0.006020470919018543, -0.2919253201459615, 0.02985264178664412, -0.16226460500677795, -0.1684315837862223, -0.06336949977241917, 0.02811272598711061, -0.08211725930694813, -0.29243370796335333, 0.07251778681565617, 0.018640834493217646, -0.05271124212002313, -0.07085868577116433, -0.07253406725731897, -0.011865732768826463, 0.0574783456661267, 0.13708285158385097, 0.11563154434164365, -0.010769025997523173, -0.18823980037582877, -0.12157994203476442, 0.28857083143206474, -0.070648530724061, -0.17899845650327612, 0.13678269843063548, -0.15205078200080696, -0.17658279713151265, 0.06752445508530479, 0.04586117829621574, 0.17254673829014747, -0.1810297703968338, 0.23766875462275988, -0.1130363351067551, 0.09046274197272049, 0.1860720889734817, -0.02601184415412538, 0.1674258537579006, 0.13039602762387123, 0.008885485758246095, 0.16010527430176966, 0.010198602849548613, -0.07979540171009707, -0.3678247189410836, -0.11968743810890081, -0.16074013709015914, 0.08929633819440633, -0.11812361532676373, -0.12287848270325749, 0.34447592593740994, 0.13998225227826172, 0.20521314101822583, 0.06720618286348282, 0.21098353952905277, 0.16507439033910173, 0.05102522656050968, 0.06604397164680707, 0.30854386194712585, 0.17743335089381831, 0.11016272287240919, -0.2811034757034554, -0.06676802945461262, 0.22524503506375132] |
711.2829 | Spectral scaling of the Leray-$\alpha$ model for two-dimensional
turbulence | We present data from high-resolution numerical simulations of the
Navier-Stokes-$\alpha$ and the Leray-$\alpha$ models for two-dimensional
turbulence. It was shown previously (Lunasin et al., J. Turbulence, 8, (2007),
751-778), that for wavenumbers $k$ such that $k\alpha\gg 1$, the energy
spectrum of the smoothed velocity field for the two-dimensional
Navier-Stokes-$\alpha$ (NS-$\alpha$) model scales as $k^{-7}$. This result is
in agreement with the scaling deduced by dimensional analysis of the flux of
the conserved enstrophy using its characteristic time scale. We therefore
hypothesize that the spectral scaling of any $\alpha$-model in the sub-$\alpha$
spatial scales must depend only on the characteristic time scale and dynamics
of the dominant cascading quantity in that regime of scales. The data presented
here, from simulations of the two-dimensional Leray-$\alpha$ model, confirm our
hypothesis. We show that for $k\alpha\gg 1$, the energy spectrum for the
two-dimensional Leray-$\alpha$ scales as $k^{-5}$, as expected by the
characteristic time scale for the flux of the conserved enstrophy of the
Leray-$\alpha$ model. These results lead to our conclusion that the dominant
directly cascading quantity of the model equations must determine the scaling
of the energy spectrum.
| physics.flu-dyn nlin.CD | we present data from highresolution numerical simulations of the navierstokesalpha and the lerayalpha models for twodimensional turbulence it was shown previously lunasin et al j turbulence 8 2007 751778 that for wavenumbers k such that kalphagg 1 the energy spectrum of the smoothed velocity field for the twodimensional navierstokesalpha nsalpha model scales as k7 this result is in agreement with the scaling deduced by dimensional analysis of the flux of the conserved enstrophy using its characteristic time scale we therefore hypothesize that the spectral scaling of any alphamodel in the subalpha spatial scales must depend only on the characteristic time scale and dynamics of the dominant cascading quantity in that regime of scales the data presented here from simulations of the twodimensional lerayalpha model confirm our hypothesis we show that for kalphagg 1 the energy spectrum for the twodimensional lerayalpha scales as k5 as expected by the characteristic time scale for the flux of the conserved enstrophy of the lerayalpha model these results lead to our conclusion that the dominant directly cascading quantity of the model equations must determine the scaling of the energy spectrum | [['we', 'present', 'data', 'from', 'highresolution', 'numerical', 'simulations', 'of', 'the', 'navierstokesalpha', 'and', 'the', 'lerayalpha', 'models', 'for', 'twodimensional', 'turbulence', 'it', 'was', 'shown', 'previously', 'lunasin', 'et', 'al', 'j', 'turbulence', '8', '2007', '751778', 'that', 'for', 'wavenumbers', 'k', 'such', 'that', 'kalphagg', '1', 'the', 'energy', 'spectrum', 'of', 'the', 'smoothed', 'velocity', 'field', 'for', 'the', 'twodimensional', 'navierstokesalpha', 'nsalpha', 'model', 'scales', 'as', 'k7', 'this', 'result', 'is', 'in', 'agreement', 'with', 'the', 'scaling', 'deduced', 'by', 'dimensional', 'analysis', 'of', 'the', 'flux', 'of', 'the', 'conserved', 'enstrophy', 'using', 'its', 'characteristic', 'time', 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711.283 | Moments of the heavy-quark parton distribution function from QCD sum
rules | The moments of the heavy quark-parton distribution functions in a heavy
pseudoscalar meson are calculated from QCD sum rules. Expanding these sum rules
in the inverse heavy quark mass we obtain the heavy-mass limits of the moments.
Comparison with the finite mass results reveals that while the heavy mass
expansion works reasonably well for the $b$ quark, one has to take into account
terms of higher than $(1/m_c)^2$ order for the $c$ quark. This result can
provide a quantitative assessment of $c$ and $b$ quark fragmentation models
based on the heavy-quark mass limit.
| hep-ph | the moments of the heavy quarkparton distribution functions in a heavy pseudoscalar meson are calculated from qcd sum rules expanding these sum rules in the inverse heavy quark mass we obtain the heavymass limits of the moments comparison with the finite mass results reveals that while the heavy mass expansion works reasonably well for the b quark one has to take into account terms of higher than 1m_c2 order for the c quark this result can provide a quantitative assessment of c and b quark fragmentation models based on the heavyquark mass limit | [['the', 'moments', 'of', 'the', 'heavy', 'quarkparton', 'distribution', 'functions', 'in', 'a', 'heavy', 'pseudoscalar', 'meson', 'are', 'calculated', 'from', 'qcd', 'sum', 'rules', 'expanding', 'these', 'sum', 'rules', 'in', 'the', 'inverse', 'heavy', 'quark', 'mass', 'we', 'obtain', 'the', 'heavymass', 'limits', 'of', 'the', 'moments', 'comparison', 'with', 'the', 'finite', 'mass', 'results', 'reveals', 'that', 'while', 'the', 'heavy', 'mass', 'expansion', 'works', 'reasonably', 'well', 'for', 'the', 'b', 'quark', 'one', 'has', 'to', 'take', 'into', 'account', 'terms', 'of', 'higher', 'than', '1m_c2', 'order', 'for', 'the', 'c', 'quark', 'this', 'result', 'can', 'provide', 'a', 'quantitative', 'assessment', 'of', 'c', 'and', 'b', 'quark', 'fragmentation', 'models', 'based', 'on', 'the', 'heavyquark', 'mass', 'limit']] | [-0.0398017587841198, 0.22218808954862015, -0.10067730939256088, 0.12210660439199938, -0.037140967724944955, -0.05856977066686077, 0.10301716791926532, 0.3153027755919323, -0.1435321641545142, -0.2344695605157364, 0.005876492716432098, -0.2845474310414565, 0.06036203128275692, 0.10565569863644658, 0.07270215417168313, 0.07336651367105303, 0.06318674897599805, 0.06220055508498673, -0.11800836848585756, -0.2197548367824125, 0.32471119261957626, -0.03644771353211454, 0.2152629230892466, 0.18868954237350213, 0.032742341629840355, 0.020187052195235807, -0.05602318323367546, -0.05005466229011936, -0.08726658749994033, 0.08526837693587426, 0.15056692919950032, 0.07313278671454197, 0.15965623624863162, -0.3551204463326803, -0.1662757591699921, 0.09055077499880265, 0.1632812673354932, 0.08334098414781438, -0.043008505192745516, -0.25192031316379065, 0.10705176316406978, -0.25225212594233853, -0.14629864680670923, -0.14370668664454453, -0.005166267861001273, 0.02046586729283194, -0.3842052752452512, 0.0998172417604765, 0.012512976079628433, 0.004530753870244308, -0.03837674587304073, -0.29180972720246, -0.05065392227392764, 0.07343621582533884, 0.13266937941831025, 0.06617966111028387, 0.12931352025348572, -0.16417366801385558, -0.10016807942821454, 0.4650485561760042, -0.10255020192867491, -0.1759224317527266, 0.12730484791550664, -0.19677155886486333, -0.12090914396028365, 0.09339897279497436, 0.20272768735985763, 0.12152899343079777, -0.18716439161129217, 0.0860289936798865, -0.06836692066562752, 0.1301361364137221, 0.07224421382140649, 0.05720201753059863, 0.2586860708611947, 0.16809253473215366, -0.03664116014385976, 0.07282796753720651, -0.038668323280690337, -0.11984097197030981, -0.3566318123691505, -0.1143838832335126, -0.1171638493235874, 0.047173994443108956, -0.155362986844197, -0.1426187030149884, 0.37811132848903695, 0.0925347510555018, 0.25864581025758837, 0.05378080979590454, 0.3251371012740238, 0.16898499394176147, 0.10965545753753113, 0.08840154211527558, 0.25545353233633983, 0.20527468174095115, 0.1269979030519764, -0.2526272725869691, 0.03913487773388624, 0.14179301503244587] |
711.2831 | Discovery of a WZ Sge-Type Dwarf Nova, SDSS J102146.44+234926.3:
Unprecedented Infrared Activity during a Rebrightening Phase | Several SU UMa-type dwarf novae, in particular, WZ Sge-type stars tend to
exhibit rebrightenings after superoutbursts. The rebrightening phenomenon is
problematic for the disk instability theory of dwarf novae since it requires a
large amount of remnant matter in the disk even after superoutbursts. Here, we
report our optical and infrared observations during the first-ever outburst of
a new dwarf nova, SDSS J102146.44+234926.3. During the outburst, we detected
superhumps with a period of 0.056281 +/- 0.000015 d, which is typical for
superhump periods in WZ Sge stars. In conjunction with the appearance of a
long-lived rebrightening, we conclude that the object is a new member of WZ Sge
stars. Our observations, furthermore, revealed infrared behaviors for the first
time in the rebrightening phase of WZ Sge stars. We discovered prominent
infrared superhumps. We calculate the color temperature of the infrared
superhump source to be 4600-6400 K. These temperatures are too low to be
explained with a fully-ionized disk appearing during dwarf nova outbursts. We
also found a Ks-band excess over the hot disk component. These unprecedented
infrared activities provide evidence for the presence of mass reservoir at the
outermost part of the accretion disk. We propose that a moderately high
mass-accretion rate at this infrared active region leads to the long-lived
rebrightening observed in SDSS J102146.44+234926.3.
| astro-ph | several su umatype dwarf novae in particular wz sgetype stars tend to exhibit rebrightenings after superoutbursts the rebrightening phenomenon is problematic for the disk instability theory of dwarf novae since it requires a large amount of remnant matter in the disk even after superoutbursts here we report our optical and infrared observations during the firstever outburst of a new dwarf nova sdss j102146442349263 during the outburst we detected superhumps with a period of 0056281 0000015 d which is typical for superhump periods in wz sge stars in conjunction with the appearance of a longlived rebrightening we conclude that the object is a new member of wz sge stars our observations furthermore revealed infrared behaviors for the first time in the rebrightening phase of wz sge stars we discovered prominent infrared superhumps we calculate the color temperature of the infrared superhump source to be 46006400 k these temperatures are too low to be explained with a fullyionized disk appearing during dwarf nova outbursts we also found a ksband excess over the hot disk component these unprecedented infrared activities provide evidence for the presence of mass reservoir at the outermost part of the accretion disk we propose that a moderately high massaccretion rate at this infrared active region leads to the longlived rebrightening observed in sdss j102146442349263 | [['several', 'su', 'umatype', 'dwarf', 'novae', 'in', 'particular', 'wz', 'sgetype', 'stars', 'tend', 'to', 'exhibit', 'rebrightenings', 'after', 'superoutbursts', 'the', 'rebrightening', 'phenomenon', 'is', 'problematic', 'for', 'the', 'disk', 'instability', 'theory', 'of', 'dwarf', 'novae', 'since', 'it', 'requires', 'a', 'large', 'amount', 'of', 'remnant', 'matter', 'in', 'the', 'disk', 'even', 'after', 'superoutbursts', 'here', 'we', 'report', 'our', 'optical', 'and', 'infrared', 'observations', 'during', 'the', 'firstever', 'outburst', 'of', 'a', 'new', 'dwarf', 'nova', 'sdss', 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711.2832 | Premi\`ere \'etape vers une navigation r\'ef\'erentielle par l'image
pour l'assistance \`a la conception des ambiances lumineuses | In the first design stage, image reference plays a double role of means of
formulation and resolution of problems. In our approach, we consider image
reference as a support of creation activity to generate ideas and we propose a
tool for navigation in references by image in order to assist daylight ambience
design. Within this paper, we present, in a first part, the semantic indexation
method to be used for the indexation of our image database. In a second part we
propose a synthetic analysis of various modes of referential navigation in
order to propose a tool implementing all or a part of these modes.
| cs.IR | in the first design stage image reference plays a double role of means of formulation and resolution of problems in our approach we consider image reference as a support of creation activity to generate ideas and we propose a tool for navigation in references by image in order to assist daylight ambience design within this paper we present in a first part the semantic indexation method to be used for the indexation of our image database in a second part we propose a synthetic analysis of various modes of referential navigation in order to propose a tool implementing all or a part of these modes | [['in', 'the', 'first', 'design', 'stage', 'image', 'reference', 'plays', 'a', 'double', 'role', 'of', 'means', 'of', 'formulation', 'and', 'resolution', 'of', 'problems', 'in', 'our', 'approach', 'we', 'consider', 'image', 'reference', 'as', 'a', 'support', 'of', 'creation', 'activity', 'to', 'generate', 'ideas', 'and', 'we', 'propose', 'a', 'tool', 'for', 'navigation', 'in', 'references', 'by', 'image', 'in', 'order', 'to', 'assist', 'daylight', 'ambience', 'design', 'within', 'this', 'paper', 'we', 'present', 'in', 'a', 'first', 'part', 'the', 'semantic', 'indexation', 'method', 'to', 'be', 'used', 'for', 'the', 'indexation', 'of', 'our', 'image', 'database', 'in', 'a', 'second', 'part', 'we', 'propose', 'a', 'synthetic', 'analysis', 'of', 'various', 'modes', 'of', 'referential', 'navigation', 'in', 'order', 'to', 'propose', 'a', 'tool', 'implementing', 'all', 'or', 'a', 'part', 'of', 'these', 'modes']] | [-0.07770112894747096, -0.00806460277665229, -0.1063620507739307, 0.016951367333309635, -0.07117387993438613, -0.056020216053972643, 0.028022783461381637, 0.4021698915798749, -0.24122456631490163, -0.34972492165508723, 0.11955825967736365, -0.2191402917727828, -0.1941185219767725, 0.17733180429121212, -0.097295533007543, 0.04839554586935611, 0.07275723238431273, 0.039728579430707865, -0.004287855105385894, -0.18468432561937898, 0.31738319320692904, 0.04196351996312539, 0.26655260528038655, 0.011750797044840597, 0.09887012070310967, 0.018211145295451085, -0.07147852372200716, -0.003912130486042727, -0.08570658194699458, 0.19383711821976163, 0.3351452265067824, 0.17713381282630422, 0.33817568410720145, -0.4190923971079645, -0.18191918101871296, 0.05332850194757893, 0.13473842280828172, 0.13913254006100553, -0.1121724036610907, -0.27454076788964726, 0.09107747399913413, -0.1767084430304489, -0.09327971524825053, -0.10833310452068136, -0.009847934544086456, -0.040698353942328444, -0.30062561146027983, 0.027445064822123163, 0.07138835493297804, 0.08253180672015463, -0.08323051034073745, -0.03629240377229594, 0.05736915457971571, 0.20293519248786782, -0.012361916080338969, 0.04829338948198018, 0.10089347086669434, -0.13668382692184033, -0.1473399593943863, 0.43431993669697216, -0.08772674869258135, -0.2109127280435392, 0.13654184464720034, -0.0593477889052814, -0.16604071752212587, 0.061477079424297525, 0.24871862741808096, 0.14699784597559346, -0.14423861341284855, 0.006576972276282807, 0.012057622783773002, 0.18197472906627116, 0.040459703749954876, 0.007008552542399792, 0.21353844963014126, 0.23812061388577735, 0.04477221674862362, 0.2115854239656723, -0.14116300685065133, -0.024976261478981802, -0.3179777905078871, -0.20683384673403843, -0.14084800742677459, -0.036866372671820934, -0.018981293059741368, -0.16086914819620904, 0.4437375335200202, 0.231864521723418, 0.19893562095683245, 0.0057082473078653925, 0.34230638609400815, 0.03955615799807544, 0.08127708423527934, 0.0246165214328184, 0.19264374436322776, 0.05333188492139535, 0.15114273777497667, -0.15654378103430472, 0.03189477010940512, 0.1088385777193166] |
711.2833 | Characterization of non-degenerate plane curve singularities | We characterize plane curve germes non-degenerate in Kouchnirenko's sense in
terms of characteristics and intersection multiplicities of branches.
| math.AG | we characterize plane curve germes nondegenerate in kouchnirenkos sense in terms of characteristics and intersection multiplicities of branches | [['we', 'characterize', 'plane', 'curve', 'germes', 'nondegenerate', 'in', 'kouchnirenkos', 'sense', 'in', 'terms', 'of', 'characteristics', 'and', 'intersection', 'multiplicities', 'of', 'branches']] | [-0.24798308737162086, 0.009443067324658235, -0.11604378651827574, 0.06254788922766845, -0.034793123292426266, -0.06363617957362698, 0.028056826028558943, 0.3182083192384905, -0.28150079978836906, -0.16921078217112356, 0.02906671840335346, -0.294963405157129, -0.16657196378542316, 0.2290645594928517, -0.18532447475526068, -0.022085835846761864, 0.1029825270589855, 0.051258477796283036, -0.06406341136122744, -0.22808884446405703, 0.37283514108922744, -0.12323354122539361, 0.2674523674779468, 0.02682859303119282, 0.10443951546524961, 0.09433114223389162, 0.034613956386844315, 0.01874200265026755, -0.21215380107363066, 0.12034092583538343, 0.34873437840077615, 0.09027555170986387, 0.04574521411106818, -0.3061555409286585, -0.11004596343263984, 0.21441093159632552, 0.18429468178914654, -0.051749373889631696, 0.09199198806244466, -0.10779927670955658, 0.10019537546840082, -0.08517518251513441, -0.2985289841890335, -0.021244041104283597, 0.051797350868582726, 0.11195404755158557, -0.1485446472134855, 0.010410797833982442, 0.11405742055891703, 0.1630803014462193, -0.030153662173284426, -0.1289325456859337, -0.11329734485803379, 0.07693199078655905, -0.023104991142948467, -0.040465686884191304, 0.009381669495875636, -0.156312550819065, -0.15196194379435232, 0.34555529565032983, -0.07814375249048074, -0.18785246619437304, 0.1289506188283364, -0.2504095288200511, -0.06361370833797587, 0.14326623206337294, 0.19458320271223783, 0.1420900673708982, -0.09392509552546674, 0.16226955151068978, -0.0073994915518495775, 0.006895087504138549, 0.19702501563976207, 0.07179979436720411, 0.20610986163632738, 0.0213430048380461, 0.034503404801297516, 0.16996874003153709, -0.027548244843880337, -0.11910660029388964, -0.3414623007281787, -0.18609807095749098, -0.0951975772687648, 0.01911694339166085, -0.07400330505252997, -0.19487221104403338, 0.4310148201054997, -0.015516153847177824, 0.2569597489717934, 0.004154394535968701, 0.19524700574887296, 0.10322950984765258, -0.06416218068301936, 0.11407267247947554, 0.17555571135340464, 0.1972096254531708, 0.0042066020477149225, -0.1461267802450392, 0.025452323930544987, 0.1710399848719438] |
711.2834 | G-Brownian Motion and Dynamic Risk Measure under Volatility Uncertainty | We introduce a new notion of G-normal distributions. This will bring us to a
new framework of stochastic calculus of Ito's type (Ito's integral, Ito's
formula, Ito's equation) through the corresponding G-Brownian motion. We will
also present analytical calculations and some new statistical methods with
application to risk analysis in finance under volatility uncertainty.
Our basic point of view is: sublinear expectation theory is very like its
special situation of linear expectation in the classical probability theory.
Under a sublinear expectation space we still can introduce the notion of
distributions, of random variables, as well as the notions of joint
distributions, marginal distributions, etc. A particularly interesting
phenomenon in sublinear situations is that a random variable Y is independent
to X does not automatically implies that X is independent to Y.
Two important theorems have been proved: The law of large number and the
central limit theorem.
| math.PR | we introduce a new notion of gnormal distributions this will bring us to a new framework of stochastic calculus of itos type itos integral itos formula itos equation through the corresponding gbrownian motion we will also present analytical calculations and some new statistical methods with application to risk analysis in finance under volatility uncertainty our basic point of view is sublinear expectation theory is very like its special situation of linear expectation in the classical probability theory under a sublinear expectation space we still can introduce the notion of distributions of random variables as well as the notions of joint distributions marginal distributions etc a particularly interesting phenomenon in sublinear situations is that a random variable y is independent to x does not automatically implies that x is independent to y two important theorems have been proved the law of large number and the central limit theorem | [['we', 'introduce', 'a', 'new', 'notion', 'of', 'gnormal', 'distributions', 'this', 'will', 'bring', 'us', 'to', 'a', 'new', 'framework', 'of', 'stochastic', 'calculus', 'of', 'itos', 'type', 'itos', 'integral', 'itos', 'formula', 'itos', 'equation', 'through', 'the', 'corresponding', 'gbrownian', 'motion', 'we', 'will', 'also', 'present', 'analytical', 'calculations', 'and', 'some', 'new', 'statistical', 'methods', 'with', 'application', 'to', 'risk', 'analysis', 'in', 'finance', 'under', 'volatility', 'uncertainty', 'our', 'basic', 'point', 'of', 'view', 'is', 'sublinear', 'expectation', 'theory', 'is', 'very', 'like', 'its', 'special', 'situation', 'of', 'linear', 'expectation', 'in', 'the', 'classical', 'probability', 'theory', 'under', 'a', 'sublinear', 'expectation', 'space', 'we', 'still', 'can', 'introduce', 'the', 'notion', 'of', 'distributions', 'of', 'random', 'variables', 'as', 'well', 'as', 'the', 'notions', 'of', 'joint', 'distributions', 'marginal', 'distributions', 'etc', 'a', 'particularly', 'interesting', 'phenomenon', 'in', 'sublinear', 'situations', 'is', 'that', 'a', 'random', 'variable', 'y', 'is', 'independent', 'to', 'x', 'does', 'not', 'automatically', 'implies', 'that', 'x', 'is', 'independent', 'to', 'y', 'two', 'important', 'theorems', 'have', 'been', 'proved', 'the', 'law', 'of', 'large', 'number', 'and', 'the', 'central', 'limit', 'theorem']] | [-0.09758313961301734, 0.09224826578909316, -0.1802912603867348, 0.1415205240838838, -0.12555107743270238, -0.13781615259239868, 0.08152942930595303, 0.3478092373329766, -0.3076060162374091, -0.237356166152575, 0.08575425747794663, -0.2522567259575411, -0.15227488627289834, 0.1966422224832306, -0.19213875429071234, 0.08083954958370285, 0.030568924290603216, 0.03427067093335751, -0.0630941276132053, -0.21786490072287162, 0.290472079877786, 0.009531586283071878, 0.2678225008267149, 0.0027930805622758408, 0.15558265296894372, 0.05327262327417123, -0.05534797245763293, 0.03554751814582993, -0.1427276615204082, 0.137641792917754, 0.25796503307563917, 0.1252157958263023, 0.340843328575724, -0.36561063523277587, -0.19422464708791298, 0.1508251246267638, 0.11075187639034746, 0.06771383087089773, -0.013812352814489887, -0.25650822674716206, 0.058326742440766216, -0.16267394449650532, -0.18224048814387853, -0.11326598637376209, 0.05125634336755389, 0.05908465046486279, -0.29786033174783294, 0.08555755149838389, 0.10652992166467898, 0.02861464582200496, -0.022237151827137334, -0.1320606363734522, 0.017076652028224094, 0.05626972212589213, 0.08983030377215623, 0.01075457089278074, 0.12496173027015868, -0.08930426055951944, -0.13413368432852282, 0.3125241536038871, -0.0988429986454426, -0.2347872385973559, 0.14101855100455638, -0.18492007224193338, -0.23364479769319044, 0.09888900862927517, 0.14760438443896468, 0.136529506468715, -0.2010111756825528, 0.1552974076357157, -0.09781839204381923, 0.08839449955749984, 0.021330813524870797, 0.05230079206390953, 0.12995538965254058, 0.11347194402130181, 0.10654525620527058, 0.1366096186248877, -0.05832617008919213, -0.16401877649584595, -0.375729282171193, -0.16522426122235653, -0.1489857585061671, 0.11347459605350524, -0.1489061466764681, -0.2026603020423529, 0.3038197645543739, 0.157880052161913, 0.1695209261201018, 0.09805989576833082, 0.22345775477334756, 0.1879245624560736, -0.011414599494032916, 0.041724288128126334, 0.1416920959978399, 0.18349247078607683, 0.1393239415903278, -0.10359645148162686, 0.12487629506116112, 0.10968618170630669] |
711.2835 | Faster Algorithms for Rigidity in the Plane | In [1], a new construction called red-black hierarchy characterizing Laman
graphs and an algorithm for computing it were presented. For a Laman graph
G=(V,E) with n vertices it runs in O(n^2) time assuming that a partition of
(V,E+e) into two spanning trees is given. We show that a simple modification
reduces the running time to O(n\log n). The total running time can be reduced
O(n\sqrt{n\log n}) using the algorithm by Gabow and Westermann [2] for
partitioning a graph into two forests. The existence of a red-black hierarchy
is a necessary and sufficient condition for a graph to be a Laman graph. The
algorithm for constructing a red-black hierarchy can be then modified to
recognize Laman graphs in the same time.
| cs.CG | in 1 a new construction called redblack hierarchy characterizing laman graphs and an algorithm for computing it were presented for a laman graph gve with n vertices it runs in on2 time assuming that a partition of vee into two spanning trees is given we show that a simple modification reduces the running time to onlog n the total running time can be reduced onsqrtnlog n using the algorithm by gabow and westermann 2 for partitioning a graph into two forests the existence of a redblack hierarchy is a necessary and sufficient condition for a graph to be a laman graph the algorithm for constructing a redblack hierarchy can be then modified to recognize laman graphs in the same time | [['in', '1', 'a', 'new', 'construction', 'called', 'redblack', 'hierarchy', 'characterizing', 'laman', 'graphs', 'and', 'an', 'algorithm', 'for', 'computing', 'it', 'were', 'presented', 'for', 'a', 'laman', 'graph', 'gve', 'with', 'n', 'vertices', 'it', 'runs', 'in', 'on2', 'time', 'assuming', 'that', 'a', 'partition', 'of', 'vee', 'into', 'two', 'spanning', 'trees', 'is', 'given', 'we', 'show', 'that', 'a', 'simple', 'modification', 'reduces', 'the', 'running', 'time', 'to', 'onlog', 'n', 'the', 'total', 'running', 'time', 'can', 'be', 'reduced', 'onsqrtnlog', 'n', 'using', 'the', 'algorithm', 'by', 'gabow', 'and', 'westermann', '2', 'for', 'partitioning', 'a', 'graph', 'into', 'two', 'forests', 'the', 'existence', 'of', 'a', 'redblack', 'hierarchy', 'is', 'a', 'necessary', 'and', 'sufficient', 'condition', 'for', 'a', 'graph', 'to', 'be', 'a', 'laman', 'graph', 'the', 'algorithm', 'for', 'constructing', 'a', 'redblack', 'hierarchy', 'can', 'be', 'then', 'modified', 'to', 'recognize', 'laman', 'graphs', 'in', 'the', 'same', 'time']] | [-0.15050975752647144, 0.13634039333272208, -0.08504341127571918, 0.08005930033662373, -0.10521138327638224, -0.18379963435611482, 0.057504752435784595, 0.3861623035143998, -0.2908182154267521, -0.37813732303458, 0.12274895618389503, -0.22681082560980725, -0.15001970373480816, 0.13302942680321256, -0.045378478512294214, 0.05324042704887688, 0.12839111696407832, 0.0501649621874094, 0.0007895914861395703, -0.28077060605055987, 0.23409615270793438, 0.0023384673552492917, 0.1660019362708396, 0.05030678153448438, 0.12919916761881214, 0.02865321617336723, 0.01939704886566595, 0.09986211528401759, -0.11458514216496565, 0.05203129954130973, 0.25421027139705304, 0.22689572683835435, 0.2303009036518002, -0.4124103602085073, -0.11936282895094029, 0.19735040982111784, 0.14830744323336473, 0.08303383208211448, 0.0036212982357305998, -0.2202641434801774, 0.14879162006585275, -0.11420399259176042, -0.04119630729566502, -0.027718829397522543, 0.07035959813688582, -0.04519404164294444, -0.32617901748646116, -0.07608311945746132, 0.08188870016256568, -0.03727890977584678, 0.04643016561897377, -0.12195778887529495, -0.006815908314912754, 0.10858769035677157, -0.13671733245206208, 0.07542027682618443, 0.013118033415748406, -0.07261769583851288, -0.17717838913628484, 0.37293176806010936, -0.061427749488187036, -0.21677445261581343, 0.09831477982639256, -0.03475088018813502, -0.22345148129151912, 0.11597233108773639, 0.16541688079882602, 0.13137853207950623, -0.11739024901920456, 0.12992138623396107, -0.10946277932113951, 0.1675417335482977, 0.13185504902848752, -0.06655928728533751, 0.09467282098860054, 0.2196346724926794, 0.16839077457454119, 0.1816098194508182, 0.025784995596287615, -0.021744197950761577, -0.26938227318637703, -0.1644524438131573, -0.23930513625964522, 0.02219756642135523, -0.20667345166737627, -0.19091027286061543, 0.4393167996905365, 0.0857362282083575, 0.23482852445725919, 0.1852195533702813, 0.2491806951998654, 0.10156853095839448, 0.07148270328702816, 0.17281467909530057, 0.06711474204656936, 0.11159116216398524, 0.02246098359750773, -0.1780396878987677, 0.05588610429648247, 0.180592891641782] |
711.2836 | Colored Jones polynomials with polynomial growth | The volume conjecture and its generalizations say that the colored Jones
polynomial corresponding to the N-dimensional irreducible representation of
sl(2;C) of a (hyperbolic) knot evaluated at exp(c/N) grows exponentially with
respect to N if one fixes a complex number c near 2*Pi*I. On the other hand if
the absolute value of c is small enough, it converges to the inverse of the
Alexander polynomial evaluated at exp(c). In this paper we study cases where it
grows polynomially.
| math.GT math-ph math.MP | the volume conjecture and its generalizations say that the colored jones polynomial corresponding to the ndimensional irreducible representation of sl2c of a hyperbolic knot evaluated at expcn grows exponentially with respect to n if one fixes a complex number c near 2pii on the other hand if the absolute value of c is small enough it converges to the inverse of the alexander polynomial evaluated at expc in this paper we study cases where it grows polynomially | [['the', 'volume', 'conjecture', 'and', 'its', 'generalizations', 'say', 'that', 'the', 'colored', 'jones', 'polynomial', 'corresponding', 'to', 'the', 'ndimensional', 'irreducible', 'representation', 'of', 'sl2c', 'of', 'a', 'hyperbolic', 'knot', 'evaluated', 'at', 'expcn', 'grows', 'exponentially', 'with', 'respect', 'to', 'n', 'if', 'one', 'fixes', 'a', 'complex', 'number', 'c', 'near', '2pii', 'on', 'the', 'other', 'hand', 'if', 'the', 'absolute', 'value', 'of', 'c', 'is', 'small', 'enough', 'it', 'converges', 'to', 'the', 'inverse', 'of', 'the', 'alexander', 'polynomial', 'evaluated', 'at', 'expc', 'in', 'this', 'paper', 'we', 'study', 'cases', 'where', 'it', 'grows', 'polynomially']] | [-0.14142436602790104, 0.14667776713950412, -0.06791041744872928, 0.019799922641954924, -0.06718017626553774, -0.19875273186296813, -0.023397311217482446, 0.2927314156029177, -0.3264012353335458, -0.23387748520020213, 0.11905651681560189, -0.3146622247081005, -0.14602887145500923, 0.17007504888859235, -0.06112409617114616, -0.0013993541154042376, 0.060819262105628456, 0.17198515612337933, -0.07230846616623335, -0.330643604938431, 0.2969805813305644, -0.027280660836320175, 0.1750104478713566, 0.06496222325796752, 0.12260007931801833, -0.02574907653156276, -0.013067344007523437, 0.009356300584146849, -0.1452666058019914, 0.07973591419623087, 0.22478593138389683, 0.07785720588320769, 0.2292651493243236, -0.3195153076900935, -0.05534563535567079, 0.24077447572428928, 0.1756426238142395, -0.0020882905611008602, 0.046746161452335254, -0.22098068656161654, 0.15705083407412626, -0.1355316398426351, -0.23170647938049546, -0.010499345775889722, 0.11750526696835693, -0.022001127838034575, -0.2341624819734869, 0.003426259506101671, 0.04000453535761488, 0.03916949986504685, 0.02944943319093191, -0.1265066642877891, -0.039642218966037035, 0.05365126059807249, 0.052519040044372606, 0.12034464622909007, 0.09479946815286223, -0.13780255585381956, -0.04798862656676456, 0.37896173194933097, -0.07713622219958588, -0.24543601675357327, 0.17179701437462905, -0.19342949365167633, -0.16501520380475804, 0.16015565669850299, 0.11607708399012488, 0.12994054045626208, 0.032465475525608974, 0.19196570867988108, -0.1275320247452902, 0.1387897200490299, 0.13720734091475606, -0.02239039803144375, 0.09778522474593238, 0.08244570992936037, 0.0945839575586816, 0.1783179855035422, -0.013709369124722127, -0.05891931218732344, -0.33883152218339474, -0.2061440933704082, -0.23708888182514593, 0.09691536438798434, -0.14024720804771182, -0.1835366215458826, 0.3630749725761186, 0.08908976037300338, 0.1926782583376687, 0.17400871823835923, 0.27019817970300974, 0.11426027038664631, 0.04171181573857259, 0.12337698105502089, 0.11886391139246132, 0.13076103667385483, 0.0379966418794969, -0.22626675558153933, 0.05391030885757094, 0.14296479610187052] |
711.2837 | Neutron-proton bremsstrahlung from intermediate energy heavy-ion
reactions as a probe of the nuclear symmetry energy? | Hard photons from neutron-proton bremsstrahlung in intermediate energy
heavy-ion reactions are examined as a potential probe of the nuclear symmetry
energy within a transport model. Effects of the symmetry energy on the yields
and spectra of hard photons are found to be generally smaller than those due to
the currently existing uncertainties of both the in-medium nucleon-nucleon
cross sections and the photon production probability in the elementary process
$pn\to pn\gamma$. Very interestingly, nevertheless, the ratio of hard photon
spectra $R_{1/2}(\gamma)$ from two reactions using isotopes of the same element
is not only approximately independent of these uncertainties but also quite
sensitive to the symmetry energy. For the head-on reactions of
$^{132}Sn+^{124}Sn$ and $^{112}Sn+^{112}Sn$ at $E_{beam}/A=50$ MeV, for
example, the $R_{1/2}(\gamma)$ displays a rise up to 15% when the symmetry
energy is reduced by about 20% at $\rho=1.3\rho_0$ which is the maximum density
reached in these reactions.
| nucl-th nucl-ex | hard photons from neutronproton bremsstrahlung in intermediate energy heavyion reactions are examined as a potential probe of the nuclear symmetry energy within a transport model effects of the symmetry energy on the yields and spectra of hard photons are found to be generally smaller than those due to the currently existing uncertainties of both the inmedium nucleonnucleon cross sections and the photon production probability in the elementary process pnto pngamma very interestingly nevertheless the ratio of hard photon spectra r_12gamma from two reactions using isotopes of the same element is not only approximately independent of these uncertainties but also quite sensitive to the symmetry energy for the headon reactions of 132sn124sn and 112sn112sn at e_beama50 mev for example the r_12gamma displays a rise up to 15 when the symmetry energy is reduced by about 20 at rho13rho_0 which is the maximum density reached in these reactions | [['hard', 'photons', 'from', 'neutronproton', 'bremsstrahlung', 'in', 'intermediate', 'energy', 'heavyion', 'reactions', 'are', 'examined', 'as', 'a', 'potential', 'probe', 'of', 'the', 'nuclear', 'symmetry', 'energy', 'within', 'a', 'transport', 'model', 'effects', 'of', 'the', 'symmetry', 'energy', 'on', 'the', 'yields', 'and', 'spectra', 'of', 'hard', 'photons', 'are', 'found', 'to', 'be', 'generally', 'smaller', 'than', 'those', 'due', 'to', 'the', 'currently', 'existing', 'uncertainties', 'of', 'both', 'the', 'inmedium', 'nucleonnucleon', 'cross', 'sections', 'and', 'the', 'photon', 'production', 'probability', 'in', 'the', 'elementary', 'process', 'pnto', 'pngamma', 'very', 'interestingly', 'nevertheless', 'the', 'ratio', 'of', 'hard', 'photon', 'spectra', 'r_12gamma', 'from', 'two', 'reactions', 'using', 'isotopes', 'of', 'the', 'same', 'element', 'is', 'not', 'only', 'approximately', 'independent', 'of', 'these', 'uncertainties', 'but', 'also', 'quite', 'sensitive', 'to', 'the', 'symmetry', 'energy', 'for', 'the', 'headon', 'reactions', 'of', '132sn124sn', 'and', '112sn112sn', 'at', 'e_beama50', 'mev', 'for', 'example', 'the', 'r_12gamma', 'displays', 'a', 'rise', 'up', 'to', '15', 'when', 'the', 'symmetry', 'energy', 'is', 'reduced', 'by', 'about', '20', 'at', 'rho13rho_0', 'which', 'is', 'the', 'maximum', 'density', 'reached', 'in', 'these', 'reactions']] | [-0.03914231043152101, 0.21710785878624053, -0.09755954635494672, 0.1350050210628927, 0.03250729553265239, -0.10268403259799519, 0.031014189730127546, 0.3675537083218706, -0.22237688861126806, -0.34572421701902406, 0.010732308166359174, -0.33609457868844905, 0.044579704542700466, 0.17850214900640468, 0.05657468562291816, 0.03995804610523455, 0.061608988826381085, 0.06137687211743959, -0.05284429025169171, -0.163915784550659, 0.31256458088623507, 0.12264334494974596, 0.24316727529207233, 0.15893582128779302, 0.06500799949479072, 0.013881128642985479, 0.006959647698582197, -0.04356196978466308, -0.07662598534110696, 0.07042555632532066, 0.27827100024941703, 0.012842315006767918, 0.12978596349596871, -0.3963647856515773, -0.17397442716586647, 0.12243877499238819, 0.13849372272330157, 0.12185795256679759, -0.04238273104708906, -0.22161895474617152, 0.06369482782993016, -0.19809539828792955, -0.10856729866408393, -0.033332221612915505, 0.031162668772517367, 0.03672294784337282, -0.26244785096033985, 0.10128044080899877, -0.018556263736211397, 0.022229510314881483, -0.05297013909839992, -0.16564921542658662, -0.0653513888415636, 0.032248025770994324, 0.09564461144317331, 0.009708951844946079, 0.18017344174127206, -0.14743850305544356, -0.06588678390154258, 0.4474610003860707, 0.012311730670378582, -0.12139492798992928, 0.16710126245186288, -0.14871099716752556, -0.12501708072847983, 0.2536923020057618, 0.1681862257558073, 0.11614521809503542, -0.173826293439909, 0.0425457851288358, 0.03393745350284859, 0.19376674624562845, 0.08724998074570499, 0.05179256288638563, 0.15879571122028172, 0.1558151464291736, 0.011941723208478156, 0.061308340756519836, -0.10573744803422679, -0.10521269857995741, -0.3330615557670752, -0.08593101949754653, -0.14628537490564325, 0.08595425817227496, -0.0628103939516029, -0.07087203462675036, 0.36573383564803197, 0.07597070485551624, 0.23294202365139696, -0.0218568989354374, 0.29453742130269817, 0.12998322117165498, 0.0856834918504964, 0.06967897439567068, 0.3262389832942463, 0.16119785219965937, 0.09450773900566319, -0.23391674649868663, 0.059523475148338584, -0.02022201781398914] |
711.2838 | Graded Sparse Graphs and Matroids | Sparse graphs and their associated matroids play an important role in
rigidity theory, where they capture the combinatorics of generically rigid
structures. We define a new family called {\bf graded sparse graphs}, arising
from generically pinned (completely immobilized) bar-and-joint frameworks and
prove that they also form matroids.
We address five problems on graded sparse graphs: {\bf Decision}, {\bf
Extraction}, {\bf Components}, {\bf Optimization}, and {\bf Extension}. We
extend our {\bf pebble game algorithms} to solve them.
| math.CO | sparse graphs and their associated matroids play an important role in rigidity theory where they capture the combinatorics of generically rigid structures we define a new family called bf graded sparse graphs arising from generically pinned completely immobilized barandjoint frameworks and prove that they also form matroids we address five problems on graded sparse graphs bf decision bf extraction bf components bf optimization and bf extension we extend our bf pebble game algorithms to solve them | [['sparse', 'graphs', 'and', 'their', 'associated', 'matroids', 'play', 'an', 'important', 'role', 'in', 'rigidity', 'theory', 'where', 'they', 'capture', 'the', 'combinatorics', 'of', 'generically', 'rigid', 'structures', 'we', 'define', 'a', 'new', 'family', 'called', 'bf', 'graded', 'sparse', 'graphs', 'arising', 'from', 'generically', 'pinned', 'completely', 'immobilized', 'barandjoint', 'frameworks', 'and', 'prove', 'that', 'they', 'also', 'form', 'matroids', 'we', 'address', 'five', 'problems', 'on', 'graded', 'sparse', 'graphs', 'bf', 'decision', 'bf', 'extraction', 'bf', 'components', 'bf', 'optimization', 'and', 'bf', 'extension', 'we', 'extend', 'our', 'bf', 'pebble', 'game', 'algorithms', 'to', 'solve', 'them']] | [-0.1483260389068164, 0.08526689708895374, -0.007752854450556792, 0.052559127749286984, -0.1572623380251523, -0.18364167581679985, -0.014023458519276525, 0.39761292588848035, -0.3833642883263038, -0.2174588542333559, 0.07571032041481598, -0.2155918830172404, -0.2680220615339318, 0.08848729065472358, -0.16154485788674242, -0.007880457640184383, 0.06410449407198221, 0.0003039012785608831, -0.035920960344619265, -0.2575933325447534, 0.2643528440415761, -0.05300321492464527, 0.2141046356409788, 0.028283891182294803, 0.10289381432812661, 0.05854393308369541, -0.0205826831393336, 0.062037063921850766, -0.22084329629940744, 0.15066213962793545, 0.37415208627384056, 0.13035077976957454, 0.21578261967931067, -0.43235136466836066, -0.1101189203388793, 0.17623847573199064, 0.11593792871817162, 0.05637033655014085, 0.03449184022457829, -0.26626927256093996, 0.0999985653478162, -0.1480831671383624, -0.037175438464864305, -0.1303379027859161, 0.08269645807357799, -0.012769911248285911, -0.2952427240946379, 0.015825598282773218, 0.17059655527976392, 0.05409131509153858, -0.028072648356962753, -0.15221075520630142, -0.02201983555048508, 0.03798587841447443, -0.04295202405927213, 0.05292467999051472, 0.13096680156702764, -0.12145833297951245, -0.21392840942318894, 0.3838294176775411, 0.04735880960269194, -0.23373924649173491, 0.18351807621136113, -0.04238676435412153, -0.2491139401314094, 0.11217757366524127, 0.26617825469982465, 0.16358941102302388, -0.06467102559920597, 0.18090247982687097, -0.1468083315014251, 0.07777314965833763, 0.14564365263734208, -0.013099123472592941, 0.18016394397158078, 0.07270118942190158, 0.08516455518522555, 0.11000577789290171, 0.019065075791762576, -0.10803016533732022, -0.28014528408254447, -0.0843847009573916, -0.14922382193464345, 0.05154708216593319, -0.12549595788713255, -0.2405704175563235, 0.35389885869747223, 0.14208192277797743, 0.1365335987586724, 0.08809201048049879, 0.1468822384639153, -0.009087505526718144, 0.029645417667588367, 0.20406338244701097, 0.142383289361054, 0.2722453438358283, 0.0417354986466786, -0.08894432094070669, -0.010915127184585129, 0.15070180297142974] |
711.2839 | Radio loud AGN and the L_X - \sigma relation of galaxy groups and
clusters | We use the ROSAT All-Sky Survey to study the X-ray properties of a sample of
625 groups and clusters of galaxies selected from the Sloan Digital Sky Survey.
We stack clusters with similar velocity dispersions and investigate whether
their average X-ray luminosities and surface brightness profiles vary with the
radio activity level of their central galaxies. We find that at a given value
of $\sigma$, clusters with a central radio AGN have more concentrated X-ray
surface brightness profiles, larger central galaxy masses, and higher X-ray
luminosities than clusters with radio-quiet central galaxies. The enhancement
in X-ray luminosity is more than a factor of two, is detected with better than
6$\sigma$ significance, and cannot be explained by X-ray emission from the
radio AGN itself. This difference is largely due to a subpopulation of
radio-quiet, high velocity dispersion clusters with low mass central galaxies.
These clusters are underluminous at X-ray wavelengths when compared to
otherwise similar clusters where the central galaxy is radio-loud, more
massive, or both.
| astro-ph | we use the rosat allsky survey to study the xray properties of a sample of 625 groups and clusters of galaxies selected from the sloan digital sky survey we stack clusters with similar velocity dispersions and investigate whether their average xray luminosities and surface brightness profiles vary with the radio activity level of their central galaxies we find that at a given value of sigma clusters with a central radio agn have more concentrated xray surface brightness profiles larger central galaxy masses and higher xray luminosities than clusters with radioquiet central galaxies the enhancement in xray luminosity is more than a factor of two is detected with better than 6sigma significance and cannot be explained by xray emission from the radio agn itself this difference is largely due to a subpopulation of radioquiet high velocity dispersion clusters with low mass central galaxies these clusters are underluminous at xray wavelengths when compared to otherwise similar clusters where the central galaxy is radioloud more massive or both | [['we', 'use', 'the', 'rosat', 'allsky', 'survey', 'to', 'study', 'the', 'xray', 'properties', 'of', 'a', 'sample', 'of', '625', 'groups', 'and', 'clusters', 'of', 'galaxies', 'selected', 'from', 'the', 'sloan', 'digital', 'sky', 'survey', 'we', 'stack', 'clusters', 'with', 'similar', 'velocity', 'dispersions', 'and', 'investigate', 'whether', 'their', 'average', 'xray', 'luminosities', 'and', 'surface', 'brightness', 'profiles', 'vary', 'with', 'the', 'radio', 'activity', 'level', 'of', 'their', 'central', 'galaxies', 'we', 'find', 'that', 'at', 'a', 'given', 'value', 'of', 'sigma', 'clusters', 'with', 'a', 'central', 'radio', 'agn', 'have', 'more', 'concentrated', 'xray', 'surface', 'brightness', 'profiles', 'larger', 'central', 'galaxy', 'masses', 'and', 'higher', 'xray', 'luminosities', 'than', 'clusters', 'with', 'radioquiet', 'central', 'galaxies', 'the', 'enhancement', 'in', 'xray', 'luminosity', 'is', 'more', 'than', 'a', 'factor', 'of', 'two', 'is', 'detected', 'with', 'better', 'than', '6sigma', 'significance', 'and', 'can', 'not', 'be', 'explained', 'by', 'xray', 'emission', 'from', 'the', 'radio', 'agn', 'itself', 'this', 'difference', 'is', 'largely', 'due', 'to', 'a', 'subpopulation', 'of', 'radioquiet', 'high', 'velocity', 'dispersion', 'clusters', 'with', 'low', 'mass', 'central', 'galaxies', 'these', 'clusters', 'are', 'underluminous', 'at', 'xray', 'wavelengths', 'when', 'compared', 'to', 'otherwise', 'similar', 'clusters', 'where', 'the', 'central', 'galaxy', 'is', 'radioloud', 'more', 'massive', 'or', 'both']] | [-0.01708037880914151, 0.09829528291754604, -0.05816671193341713, 0.15827593119206265, -0.12642201993906174, -0.04620543115559113, 0.07364546739305537, 0.5031879472669708, -0.10236586400599454, -0.3712987705661231, 0.05602404346664335, -0.3718710008402725, 0.027608310303044874, 0.23493768452773298, -0.014398465819477317, -0.07616181701424543, 0.006006601701367153, -0.0960976626297616, -0.05455822100391589, -0.2895580538420893, 0.3038997206646186, 0.08556087586063757, 0.22108699835792003, -0.09000322887258806, 0.039395541707278194, -0.09779347926490457, -0.08635236482214496, 0.030627002740413488, -0.08597621894659824, 0.06270353058009431, 0.29002275337683914, 0.08796278365988688, 0.2158987445908273, -0.3138709409042393, -0.18047817543300473, 0.10328325734428882, 0.22176996221575124, 0.0020036627819021062, -0.07502740776123891, -0.2676185324776873, 0.13174012138407273, -0.1989027568242928, -0.1814867342157424, 0.13001108262126884, 0.05032216334092734, 0.07261759848740648, -0.11588034623706467, 0.2193665172237095, -0.027108238155095197, 0.12357525453981326, -0.13506686005808682, -0.08249869679538421, -0.07405845701683268, 0.05976764932474688, -0.0005175578520150788, 0.08674124662967045, 0.23672484528239682, -0.18418961767168962, -0.02823790180754949, 0.41525991886001395, 0.019621378646869667, 0.06027845755578524, 0.2541000851996647, -0.28153993842102226, -0.1883785478140968, 0.15027301206887442, 0.17585652936474386, 0.08831223326241486, -0.1623559384821551, -0.053125577215953866, -0.0310426324743396, 0.303914565604225, 0.04067688007524843, 0.09135396703422008, 0.34966012703378246, 0.09350686811025714, 0.08140086384731378, 0.12619059813189243, -0.2529104980724269, 0.06760850004818156, -0.17291736887790352, -0.031966112371736084, -0.11752609253569271, 0.11474831574128348, -0.14699253697551054, -0.10389443025896214, 0.3297427517771496, 0.055889394563476906, 0.2170874078236296, 0.11291936197576213, 0.30911349087774037, 0.129683396335781, 0.14552316699963883, 0.14455462120338736, 0.29998368636076617, 0.17389887049149003, 0.03856519807736019, -0.21667344943782965, 0.03450929611102196, -0.03095491887182446] |
711.284 | 4D static solutions with interacting phantom fields | Three static models with two interacting phantom and ghost scalar fields were
considered: a model of a traversable wormhole, a brane-like model and a
spherically symmetric problem. It was shown numerically that regular solutions
exist for all three cases.
| gr-qc | three static models with two interacting phantom and ghost scalar fields were considered a model of a traversable wormhole a branelike model and a spherically symmetric problem it was shown numerically that regular solutions exist for all three cases | [['three', 'static', 'models', 'with', 'two', 'interacting', 'phantom', 'and', 'ghost', 'scalar', 'fields', 'were', 'considered', 'a', 'model', 'of', 'a', 'traversable', 'wormhole', 'a', 'branelike', 'model', 'and', 'a', 'spherically', 'symmetric', 'problem', 'it', 'was', 'shown', 'numerically', 'that', 'regular', 'solutions', 'exist', 'for', 'all', 'three', 'cases']] | [-0.16656137742281246, 0.09430462332108082, -0.07482742280579913, 0.14188143446181828, -0.06285009362424414, -0.2816799505828665, -0.12898834384022614, 0.37366921115571106, -0.1012050242593082, -0.27272942767311364, 0.11186957220809582, -0.28237207472706455, -0.17860124847636774, 0.13812046183141855, 0.06986201640505058, 0.08186557301535057, 0.012479707401675673, 0.06519433717506054, -0.01625154238456908, -0.27194474876309055, 0.3860793846826523, -0.08343789739032778, 0.2692784993694379, -0.012486163132752363, 0.13245182817515272, -0.07256246282933997, 0.04330705031036185, 0.1343072689326688, -0.1350745079236311, -0.017267852045524005, 0.16645800308385963, 0.134128573219268, 0.21885682169821125, -0.3955319056717249, -0.2993284431883158, 0.1827187703874631, 0.15411788996500084, 0.1761216649140876, -0.11919883109676914, -0.279750335149658, 0.09393397101368277, -0.257316739561084, -0.16792423141976962, -0.03582176814476649, 0.035143283422654256, -0.01881582299486185, -0.2814415984142285, 0.07256721750570413, 0.017296673219579343, -0.04899635392790421, -0.21380434216310581, -0.043472613112475626, -0.02305975179068553, 0.05023528627143838, 0.07891503185965121, -0.03588489906337017, 0.04729887375082725, -0.1836866079710233, -0.1240456125800474, 0.37072776477688396, -0.04907428504278263, -0.3441372248224723, 0.1916836052416609, -0.09453077225659329, -0.06082786675781394, 0.11070651082823482, 0.07504999285372786, 0.2562352643849758, -0.20595302896048778, 0.1614143870597801, -0.09126566574335672, 0.12442776024377403, 0.1541768005117774, -0.10856029984708397, 0.3136390269471285, 0.06664678621559571, -0.028317690674717035, 0.20115151966754824, 0.005230125851738147, -0.17578767059752956, -0.322530635417654, -0.10921743399917315, -0.07819227104445393, 0.01544873582987258, -0.11768114898661271, -0.23431062548143716, 0.4028809969671644, 0.05820937855885579, 0.08346852457198577, 0.020682581766054798, 0.2596048114475054, 0.004260481502383183, 0.0008991468363465407, 0.12301485860147156, 0.29086445964490754, 0.10635717218526854, 0.1273047788402973, -0.12177032087063895, -0.11020217815605111, 0.02691742116346573] |
711.2841 | Quantum simulation of Fermi-Hubbard models in semiconductor quantum dot
arrays | We propose a device for studying the Fermi-Hubbard model with long-range
Coulomb interactions using an array of quantum dots defined in a semiconductor
two-dimensional electron gas system. Bands with energies above the lowest
energy band are used to form the Hubbard model, which allows for an
experimentally simpler realization of the device. We find that depending on
average electron density, the system is well described by a one- or two-band
Hubbard model. Our device design enables the control of the ratio of the
Coulomb interaction to the kinetic energy of the electrons independently to the
filling of the quantum dots, such that a large portion of the Hubbard phase
diagram may be probed. Estimates of the Hubbard parameters suggest that a
metal-Mott insulator quantum phase transition and a d-wave superconducting
phase should be observable using current fabrication technologies.
| quant-ph cond-mat.mes-hall | we propose a device for studying the fermihubbard model with longrange coulomb interactions using an array of quantum dots defined in a semiconductor twodimensional electron gas system bands with energies above the lowest energy band are used to form the hubbard model which allows for an experimentally simpler realization of the device we find that depending on average electron density the system is well described by a one or twoband hubbard model our device design enables the control of the ratio of the coulomb interaction to the kinetic energy of the electrons independently to the filling of the quantum dots such that a large portion of the hubbard phase diagram may be probed estimates of the hubbard parameters suggest that a metalmott insulator quantum phase transition and a dwave superconducting phase should be observable using current fabrication technologies | [['we', 'propose', 'a', 'device', 'for', 'studying', 'the', 'fermihubbard', 'model', 'with', 'longrange', 'coulomb', 'interactions', 'using', 'an', 'array', 'of', 'quantum', 'dots', 'defined', 'in', 'a', 'semiconductor', 'twodimensional', 'electron', 'gas', 'system', 'bands', 'with', 'energies', 'above', 'the', 'lowest', 'energy', 'band', 'are', 'used', 'to', 'form', 'the', 'hubbard', 'model', 'which', 'allows', 'for', 'an', 'experimentally', 'simpler', 'realization', 'of', 'the', 'device', 'we', 'find', 'that', 'depending', 'on', 'average', 'electron', 'density', 'the', 'system', 'is', 'well', 'described', 'by', 'a', 'one', 'or', 'twoband', 'hubbard', 'model', 'our', 'device', 'design', 'enables', 'the', 'control', 'of', 'the', 'ratio', 'of', 'the', 'coulomb', 'interaction', 'to', 'the', 'kinetic', 'energy', 'of', 'the', 'electrons', 'independently', 'to', 'the', 'filling', 'of', 'the', 'quantum', 'dots', 'such', 'that', 'a', 'large', 'portion', 'of', 'the', 'hubbard', 'phase', 'diagram', 'may', 'be', 'probed', 'estimates', 'of', 'the', 'hubbard', 'parameters', 'suggest', 'that', 'a', 'metalmott', 'insulator', 'quantum', 'phase', 'transition', 'and', 'a', 'dwave', 'superconducting', 'phase', 'should', 'be', 'observable', 'using', 'current', 'fabrication', 'technologies']] | [-0.1619726497232003, 0.18868408201577014, -0.03996647766367802, 0.042679574027610266, -0.0004045824871223042, -0.19667199430177393, 0.07409931385157414, 0.37369864832852845, -0.23405742759316944, -0.2971376064908353, 0.006982874956177682, -0.2897281413004722, -0.10396085042621185, 0.1913045357602338, 0.054450355298088296, 0.027772190730910803, -0.004729723606758035, -0.05536957428642157, -0.11061056336367746, -0.19438641776661456, 0.28833755975052633, 0.046144541652461485, 0.2573984848078934, 0.09230468770745548, 0.05106607710173273, 0.021753235369164875, 0.15745872970454503, 0.015076996576364922, -0.15551263637130236, 0.07414076274574694, 0.24061118375781612, -0.07491836434506906, 0.21716083854814802, -0.4464663221514311, -0.22370558312378716, 0.03944106622214388, 0.14919333517267977, 0.15079572885820264, -0.04316047237649479, -0.3072165688904731, -0.02252769533188784, -0.23802050550643733, -0.1188908619131299, -0.05712389020482078, -0.04989002962542725, 0.016966580382912703, -0.2770219771579529, 0.0540048464005678, 0.006700095583084107, 0.018159068203058796, -0.06330312605975938, -0.09595966419252311, -0.04487548211751425, 0.08092281667252435, -0.05562529339458443, 0.04349630273392667, 0.16999926197720502, -0.13731927035943323, -0.11918644147817099, 0.3822412480586681, -0.052710284543075206, -0.13402173938769577, 0.15939202133323188, -0.16138321207498835, -0.037878175964578986, 0.13168635687865046, 0.0974594056909985, 0.02286984934134112, -0.16860038621445606, 0.10599945512634197, -0.019430873665007075, 0.21956293138445934, -0.05003713538188595, 0.08683216480362782, 0.2589991538771901, 0.22812493086752036, 0.06353927746523118, 0.15150740750950586, -0.14402330954539322, -0.09885430259400628, -0.2619148166706799, -0.1718207355318726, -0.2703753310260768, 0.0598639898336209, -0.06563473480533846, -0.21077860011786653, 0.4416653886947788, 0.1696365161105464, 0.18531029909660202, -0.047595228391625256, 0.2513184033408491, 0.17963061226359772, 0.06929665626418116, 0.032194987276865955, 0.2384552594571226, 0.12134015796355148, 0.06437427780347997, -0.2661752147158014, 0.015592297214333075, 0.06110875603601174] |
711.2842 | A new approach for scientific data dissemination in developing
countries: a case of Indonesia | This short paper is intended as an additional progress report to share our
experiences in Indonesia on collecting, integrating and disseminating both
global and local scientific data across the country through the web technology.
Our recent efforts are exerted on improving the local public access to global
scientific data, and on the other hand encouraging the local scientific data to
be more accessible for the global communities. We have maintained
well-connected infrastructure and some web-based information management systems
to realize such objectives. This paper is especially focused on introducing the
ARSIP for mirroring global as well as sharing local scientific data, and the
newly developed Indonesian Scientific Index for integrating local scientific
data through an automated intelligent indexing system.
| cs.CY | this short paper is intended as an additional progress report to share our experiences in indonesia on collecting integrating and disseminating both global and local scientific data across the country through the web technology our recent efforts are exerted on improving the local public access to global scientific data and on the other hand encouraging the local scientific data to be more accessible for the global communities we have maintained wellconnected infrastructure and some webbased information management systems to realize such objectives this paper is especially focused on introducing the arsip for mirroring global as well as sharing local scientific data and the newly developed indonesian scientific index for integrating local scientific data through an automated intelligent indexing system | [['this', 'short', 'paper', 'is', 'intended', 'as', 'an', 'additional', 'progress', 'report', 'to', 'share', 'our', 'experiences', 'in', 'indonesia', 'on', 'collecting', 'integrating', 'and', 'disseminating', 'both', 'global', 'and', 'local', 'scientific', 'data', 'across', 'the', 'country', 'through', 'the', 'web', 'technology', 'our', 'recent', 'efforts', 'are', 'exerted', 'on', 'improving', 'the', 'local', 'public', 'access', 'to', 'global', 'scientific', 'data', 'and', 'on', 'the', 'other', 'hand', 'encouraging', 'the', 'local', 'scientific', 'data', 'to', 'be', 'more', 'accessible', 'for', 'the', 'global', 'communities', 'we', 'have', 'maintained', 'wellconnected', 'infrastructure', 'and', 'some', 'webbased', 'information', 'management', 'systems', 'to', 'realize', 'such', 'objectives', 'this', 'paper', 'is', 'especially', 'focused', 'on', 'introducing', 'the', 'arsip', 'for', 'mirroring', 'global', 'as', 'well', 'as', 'sharing', 'local', 'scientific', 'data', 'and', 'the', 'newly', 'developed', 'indonesian', 'scientific', 'index', 'for', 'integrating', 'local', 'scientific', 'data', 'through', 'an', 'automated', 'intelligent', 'indexing', 'system']] | [-0.10708911515973603, 0.03330307512300413, -0.06236549210340037, 0.04750851563560792, -0.15152567284284318, -0.0964573300693932, 0.05150771437615346, 0.38418922789584276, -0.28053668404976695, -0.3783545172694376, 0.1566962423858675, -0.3096193886851355, -0.12781029530816665, 0.24719184345834083, -0.082841492435595, 0.04694581172286959, 0.06687025674145226, 0.026820075280877556, 0.019188674861344242, -0.30448142977399845, 0.30956543015189847, 0.12365321085740955, 0.3664602307539623, 0.09292966660932969, 0.05112078185962766, 0.03733676861600666, -0.1505361955683931, -0.024932002726650276, -0.08198725741546033, 0.21157127574492657, 0.32906291649629504, 0.24513113820704363, 0.3439919202178085, -0.4757989870573757, -0.20461975864205761, 0.06480844613259375, 0.13868397572551364, 0.07074786687143526, -0.09456116746446627, -0.3538148113037065, 0.05653521194422649, -0.183101491955251, -0.09773428376662442, -0.11975085616932582, 0.0128583566372488, 0.035862092449629714, -0.2254574008017652, -0.017193157845413535, 0.008339219564331254, 0.17104564813928583, -0.03435785814693545, -0.08172402469642555, -0.03093312304048657, 0.246948761758947, 0.04580068312411718, 0.05354328836626136, 0.15723862839266817, -0.16680489539295057, -0.12294579523426118, 0.3485480349873966, -0.008791525260213826, -0.1248193030774404, 0.2219893312578926, -0.05181922056412293, -0.1914808441356014, 0.02398869725559854, 0.22388481904389496, 0.05704896870242842, -0.22125657186133124, 0.037439425315577694, -0.011116443687292227, 0.163988862853592, 0.012619622837025987, 0.037051942104757846, 0.23015776194505772, 0.24032983752914658, 0.12670253018525002, 0.0749941192566362, -0.03478218348483729, -0.09472755744848084, -0.2191649485947722, -0.14196687462045102, -0.17558579958612258, -0.015962737786062692, -0.030278675581138163, -0.12177611485723469, 0.40383341026066216, 0.1831581635416438, 0.1093003465754564, 0.005194054576874142, 0.3594282345562163, -0.02097645388833263, 0.1082852470325464, 0.11291186788742888, 0.19112119078956805, -0.03608093793519725, 0.24736248045149495, -0.12181627013231233, 0.11084339930774581, -0.03480891477498147] |
711.2843 | Complexity of the conditional colorability of graphs | For an integer $r>0$, a conditional $(k,r)$-coloring of a graph $G$ is a
proper $k$-coloring of the vertices of $G$ such that every vertex $v$ of degree
$d(v)$ in $G$ is adjacent to vertices with at least $min\{r, d(v)\}$ different
colors. The smallest integer $k$ for which a graph $G$ has a conditional
$(k,r)$-coloring is called the $r$th order conditional chromatic number,
denoted by $\chi_r(G)$. It is easy to see that the conditional coloring is a
generalization of the traditional vertex coloring for which $r=1$. In this
paper, we consider the complexity of the conditional colorings of graphs. The
main result is that the conditional $(3,2)$-colorability is $NP$-complete for
triangle-free graphs with maximum degree at most 3, which is different from the
old result that the traditional 3-colorability is polynomial solvable for
graphs with maximum degree at most 3. This also implies that it is
$NP$-complete to determine if a graph of maximum degree 3 is $(3,2)$- or
$(4,2)$-colorable. Also we have proved that some old complexity results for
traditional colorings still hold for the conditional colorings.
| cs.DM cs.CC | for an integer r0 a conditional krcoloring of a graph g is a proper kcoloring of the vertices of g such that every vertex v of degree dv in g is adjacent to vertices with at least minr dv different colors the smallest integer k for which a graph g has a conditional krcoloring is called the rth order conditional chromatic number denoted by chi_rg it is easy to see that the conditional coloring is a generalization of the traditional vertex coloring for which r1 in this paper we consider the complexity of the conditional colorings of graphs the main result is that the conditional 32colorability is npcomplete for trianglefree graphs with maximum degree at most 3 which is different from the old result that the traditional 3colorability is polynomial solvable for graphs with maximum degree at most 3 this also implies that it is npcomplete to determine if a graph of maximum degree 3 is 32 or 42colorable also we have proved that some old complexity results for traditional colorings still hold for the conditional colorings | [['for', 'an', 'integer', 'r0', 'a', 'conditional', 'krcoloring', 'of', 'a', 'graph', 'g', 'is', 'a', 'proper', 'kcoloring', 'of', 'the', 'vertices', 'of', 'g', 'such', 'that', 'every', 'vertex', 'v', 'of', 'degree', 'dv', 'in', 'g', 'is', 'adjacent', 'to', 'vertices', 'with', 'at', 'least', 'minr', 'dv', 'different', 'colors', 'the', 'smallest', 'integer', 'k', 'for', 'which', 'a', 'graph', 'g', 'has', 'a', 'conditional', 'krcoloring', 'is', 'called', 'the', 'rth', 'order', 'conditional', 'chromatic', 'number', 'denoted', 'by', 'chi_rg', 'it', 'is', 'easy', 'to', 'see', 'that', 'the', 'conditional', 'coloring', 'is', 'a', 'generalization', 'of', 'the', 'traditional', 'vertex', 'coloring', 'for', 'which', 'r1', 'in', 'this', 'paper', 'we', 'consider', 'the', 'complexity', 'of', 'the', 'conditional', 'colorings', 'of', 'graphs', 'the', 'main', 'result', 'is', 'that', 'the', 'conditional', '32colorability', 'is', 'npcomplete', 'for', 'trianglefree', 'graphs', 'with', 'maximum', 'degree', 'at', 'most', '3', 'which', 'is', 'different', 'from', 'the', 'old', 'result', 'that', 'the', 'traditional', '3colorability', 'is', 'polynomial', 'solvable', 'for', 'graphs', 'with', 'maximum', 'degree', 'at', 'most', '3', 'this', 'also', 'implies', 'that', 'it', 'is', 'npcomplete', 'to', 'determine', 'if', 'a', 'graph', 'of', 'maximum', 'degree', '3', 'is', '32', 'or', '42colorable', 'also', 'we', 'have', 'proved', 'that', 'some', 'old', 'complexity', 'results', 'for', 'traditional', 'colorings', 'still', 'hold', 'for', 'the', 'conditional', 'colorings']] | [-0.1518673707225493, 0.12153095642046537, -0.061144554569785084, 0.03697823571906026, -0.13552915851984706, -0.16669893413516026, 0.024681141574068793, 0.389891907990511, -0.27768065356383365, -0.3231699158277895, 0.08104790860653988, -0.30351275508025927, -0.14394270781560667, 0.1134566350946469, -0.14077671413176826, 0.01190773645083287, 0.08210238693814192, 0.1386754324393613, 0.042866694554686544, -0.30482937829419304, 0.28141690695392235, -0.06662159897387028, 0.15031538903447134, 0.0873449042359633, 0.11269419977474691, 0.038538763081388816, 0.0537335846652942, 0.11481786593794822, -0.16332214441009066, 0.06902516400607835, 0.269766190169113, 0.19170979489971485, 0.2924042028348361, -0.3092617630018919, -0.15918209301041705, 0.2306261146574148, 0.07590843588712493, 0.048014920047218246, 0.029837908364300218, -0.15742382278399808, 0.17900183177020934, -0.11840599855441333, -0.09373937680252961, 0.05870891953685454, 0.16220884104924543, -0.0024010483760918888, -0.30551603391766546, 0.006541342966458095, 0.11257197967065233, 0.06641571326811183, 0.11756328865087458, -0.20077788941029992, -0.053472012665921026, 0.06829544460533984, -0.06569677092866706, 0.13104478221918855, -0.020784949115144887, -0.14966654112030353, -0.18601134209760598, 0.37553794407418795, -0.014629159623623959, -0.14939885623220886, 0.11868892769096419, -0.1395891824976674, -0.21571489354063358, 0.10937260075206204, 0.08956191702612809, 0.158817452277456, -0.08614905979484319, 0.10122412839106151, -0.1420302421413362, 0.14043776814958878, 0.11702968615506376, 0.018758419480706966, 0.11864000366801129, 0.11640427874334688, 0.19577533833283398, 0.17646349357308022, -0.02208536191444312, 0.04164257285318204, -0.2947578443533608, -0.13008762294293513, -0.26511110900768214, 0.062124420747693095, -0.1997610755876771, -0.16834110415407588, 0.4141220335076962, 0.1396091114623206, 0.15640284486913256, 0.15582335462727184, 0.2523921118038041, 0.12669905236789158, 0.06144701929496867, 0.19926039215709482, 0.12759654712813373, 0.197328694384279, -0.05603955853198256, -0.16067201995091246, 0.10341505646705627, 0.1376473825105599] |
711.2844 | Dynamic 3-Coloring of Claw-free Graphs | A {\it dynamic $k$-coloring} of a graph $G$ is a proper $k$-coloring of the
vertices of $G$ such that every vertex of degree at least 2 in $G$ will be
adjacent to vertices with at least 2 different colors. The smallest number $k$
for which a graph $G$ can have a dynamic $k$-coloring is the {\it dynamic
chromatic number}, denoted by $\chi_d(G)$. In this paper, we investigate the
dynamic 3-colorings of claw-free graphs. First, we prove that it is
$NP$-complete to determine if a claw-free graph with maximum degree 3 is
dynamically 3-colorable. Second, by forbidding a kind of subgraphs, we find a
reasonable subclass of claw-free graphs with maximum degree 3, for which the
dynamically 3-colorable problem can be solved in linear time. Third, we give a
linear time algorithm to recognize this subclass of graphs, and a linear time
algorithm to determine whether it is dynamically 3-colorable. We also give a
linear time algorithm to color the graphs in the subclass by 3 colors.
| cs.DM cs.CC | a it dynamic kcoloring of a graph g is a proper kcoloring of the vertices of g such that every vertex of degree at least 2 in g will be adjacent to vertices with at least 2 different colors the smallest number k for which a graph g can have a dynamic kcoloring is the it dynamic chromatic number denoted by chi_dg in this paper we investigate the dynamic 3colorings of clawfree graphs first we prove that it is npcomplete to determine if a clawfree graph with maximum degree 3 is dynamically 3colorable second by forbidding a kind of subgraphs we find a reasonable subclass of clawfree graphs with maximum degree 3 for which the dynamically 3colorable problem can be solved in linear time third we give a linear time algorithm to recognize this subclass of graphs and a linear time algorithm to determine whether it is dynamically 3colorable we also give a linear time algorithm to color the graphs in the subclass by 3 colors | [['a', 'it', 'dynamic', 'kcoloring', 'of', 'a', 'graph', 'g', 'is', 'a', 'proper', 'kcoloring', 'of', 'the', 'vertices', 'of', 'g', 'such', 'that', 'every', 'vertex', 'of', 'degree', 'at', 'least', '2', 'in', 'g', 'will', 'be', 'adjacent', 'to', 'vertices', 'with', 'at', 'least', '2', 'different', 'colors', 'the', 'smallest', 'number', 'k', 'for', 'which', 'a', 'graph', 'g', 'can', 'have', 'a', 'dynamic', 'kcoloring', 'is', 'the', 'it', 'dynamic', 'chromatic', 'number', 'denoted', 'by', 'chi_dg', 'in', 'this', 'paper', 'we', 'investigate', 'the', 'dynamic', '3colorings', 'of', 'clawfree', 'graphs', 'first', 'we', 'prove', 'that', 'it', 'is', 'npcomplete', 'to', 'determine', 'if', 'a', 'clawfree', 'graph', 'with', 'maximum', 'degree', '3', 'is', 'dynamically', '3colorable', 'second', 'by', 'forbidding', 'a', 'kind', 'of', 'subgraphs', 'we', 'find', 'a', 'reasonable', 'subclass', 'of', 'clawfree', 'graphs', 'with', 'maximum', 'degree', '3', 'for', 'which', 'the', 'dynamically', '3colorable', 'problem', 'can', 'be', 'solved', 'in', 'linear', 'time', 'third', 'we', 'give', 'a', 'linear', 'time', 'algorithm', 'to', 'recognize', 'this', 'subclass', 'of', 'graphs', 'and', 'a', 'linear', 'time', 'algorithm', 'to', 'determine', 'whether', 'it', 'is', 'dynamically', '3colorable', 'we', 'also', 'give', 'a', 'linear', 'time', 'algorithm', 'to', 'color', 'the', 'graphs', 'in', 'the', 'subclass', 'by', '3', 'colors']] | [-0.1902257187336863, 0.14186721085851273, -0.06262599258874375, 0.01809269228476066, -0.1531375690071608, -0.16484729829244316, 0.0544020848731645, 0.4387087599733418, -0.31158124918050795, -0.38054516967610424, 0.08501009170123074, -0.25740412544425445, -0.16406959125839443, 0.07743485753862075, -0.09423200386374381, 0.0051787060710702494, 0.1120829244637974, 0.10285749991637576, 0.061612504458683263, -0.296008904694393, 0.26538167843393173, -0.06361639532765531, 0.10781965610088713, 0.08804502187251866, 0.09644371729957063, 0.027307364067163723, 0.04522550908472748, 0.13925948206066008, -0.1603126907963986, 0.024554386495820146, 0.300631227471069, 0.18405159575589763, 0.2788910363093916, -0.34137334117118173, -0.15791353664686342, 0.2482195939638663, 0.07173108334052769, 0.07020264374883284, 0.02539884649548141, -0.1716559704011643, 0.1758333434363412, -0.10148664402972882, -0.11117191628149026, 0.026780022790722818, 0.14882947507535993, -0.02390446374192834, -0.280307945761695, -0.028775367275874847, 0.09717838830841952, 0.015218924865665206, 0.0976184683267016, -0.116520860771009, -0.028391216700638544, 0.07562639235788171, -0.10980720699804061, 0.08033859026506095, -0.020033663949797335, -0.1175642691255289, -0.1901739390892347, 0.40087142767362205, -0.03639234210847013, -0.14456732979455278, 0.10212539266570504, -0.13965975178731044, -0.21601855837885875, 0.13677325800442733, 0.16167186855910773, 0.21265458623059544, -0.1384513275753931, 0.09205625439588687, -0.13398795285969076, 0.17808451610112405, 0.11721599367952132, -0.004767643517803356, 0.12988264451970358, 0.15520482650587716, 0.18464734912597497, 0.21376047947539398, 0.025817894298269087, 0.09010524248019848, -0.2796113928667752, -0.083547307690325, -0.2325986162871571, 0.052325025857257915, -0.20272002652200172, -0.17085456847583494, 0.45822432859385587, 0.11294421062703772, 0.16914448574050722, 0.14406486557779416, 0.23298545616134686, 0.08952373998374286, 0.06941586284034224, 0.2321874841834497, 0.14485908204308115, 0.15166017605435014, -0.04403792610826779, -0.1909506160091589, 0.06821714773551836, 0.1646629758347499] |
711.2845 | Spontaneous creation of chromomagnetic field and A_0-condensate at high
temperature on a lattice | In a lattice formulation of SU(2)-gluodynamics, the spontaneous generation of
chromomagnetic fields at high temperature is investigated. A procedure to
determine this phenomenon is developed. By means of the $\chi^2$-analysis of
the data set accumulating $5-10\times 10^6$ Monte Carlo configurations, the
spontaneous creation of the Abelian color magnetic field is indicated. The
common generation of the magnetic field and $A_0$-condensate is also studied.
It is discovered that the field configuration consisting of the magnetized
vacuum and the $A_0$-condensate is stable.
| hep-lat | in a lattice formulation of su2gluodynamics the spontaneous generation of chromomagnetic fields at high temperature is investigated a procedure to determine this phenomenon is developed by means of the chi2analysis of the data set accumulating 510times 106 monte carlo configurations the spontaneous creation of the abelian color magnetic field is indicated the common generation of the magnetic field and a_0condensate is also studied it is discovered that the field configuration consisting of the magnetized vacuum and the a_0condensate is stable | [['in', 'a', 'lattice', 'formulation', 'of', 'su2gluodynamics', 'the', 'spontaneous', 'generation', 'of', 'chromomagnetic', 'fields', 'at', 'high', 'temperature', 'is', 'investigated', 'a', 'procedure', 'to', 'determine', 'this', 'phenomenon', 'is', 'developed', 'by', 'means', 'of', 'the', 'chi2analysis', 'of', 'the', 'data', 'set', 'accumulating', '510times', '106', 'monte', 'carlo', 'configurations', 'the', 'spontaneous', 'creation', 'of', 'the', 'abelian', 'color', 'magnetic', 'field', 'is', 'indicated', 'the', 'common', 'generation', 'of', 'the', 'magnetic', 'field', 'and', 'a_0condensate', 'is', 'also', 'studied', 'it', 'is', 'discovered', 'that', 'the', 'field', 'configuration', 'consisting', 'of', 'the', 'magnetized', 'vacuum', 'and', 'the', 'a_0condensate', 'is', 'stable']] | [-0.16808809270036076, 0.22456547149800157, -0.033810420393772224, 0.06655186553344768, -0.03055014588723057, -0.022446312448377477, 0.011953775069406746, 0.3673146013170481, -0.2276061460633125, -0.31610326743439626, 0.09943041703388046, -0.2315035366796349, -0.06865673885974836, 0.17205049234785533, 0.03692242686979865, -0.009813138590145268, 0.00610215878604274, 0.054734903338708375, -0.02699331937382292, -0.22770560169010423, 0.32368538264601837, 0.056925568520168064, 0.3497195127910297, 0.042624337408740665, 0.12851350243650622, -0.006253914129430134, -0.011910224063812118, 0.032762435393554994, -0.10196042196002963, 0.08752705942300197, 0.14670486499457375, 0.08039232881396617, 0.22304194273525163, -0.37408229345945937, -0.203776512711652, 0.09471558662143682, 0.08636259553512853, 0.14770723072088962, -0.10441546629820216, -0.2588516584548511, 0.11071050739356954, -0.1387217658522882, -0.17968296603985914, -0.07230828326244496, 0.011621944757950442, -0.018585531298365248, -0.33392195413379294, 0.03960036771566497, 0.02764805403727989, 0.09689454758833897, -0.032661022593904486, -0.0561282719978695, -0.05905084043900531, 0.04309700713738015, 0.07328117346409463, 0.10194193245843053, 0.14177121469401754, -0.15941549714740463, -0.1322652142752256, 0.37363972617803437, -0.052408330301803197, -0.1179493382382804, 0.15653350797334784, -0.16862122761698342, -0.08730155632120411, 0.19263689505475523, 0.10371695365144037, 0.17119419025134688, -0.16240578880043408, 0.10797305170930677, -0.038276579255532274, 0.11053510301280767, 0.024402682418248764, -0.005643750927112323, 0.2541628179360965, 0.21279559416794464, -0.012887086192342011, 0.18388446924080581, -0.1239862103799456, -0.11344567605441339, -0.2975177092073289, -0.13635796009513892, -0.20964369242765793, 0.0423802076410012, -0.04441014825371033, -0.20134474133067815, 0.40356145343302113, 0.1613220010430699, 0.12944452033231132, -0.08267284367282532, 0.278706889011358, 0.129785728186107, 0.09259708668105304, 0.035537294712603876, 0.2635621486942431, 0.19643491700499957, 0.08852481262415256, -0.2642359616630098, 0.0021451305426461132, 0.05241088995611981] |
711.2846 | Rainbow number of matchings in regular bipartite graphs | Given a graph $G$ and a subgraph $H$ of $G$, let $rb(G,H)$ be the minimum
number $r$ for which any edge-coloring of $G$ with $r$ colors has a rainbow
subgraph $H$. The number $rb(G,H)$ is called the rainbow number of $H$ with
respect to $G$. Denote $mK_2$ a matching of size $m$ and $B_{n,k}$ a
$k$-regular bipartite graph with bipartition $(X,Y)$ such that $|X|=|Y|=n$ and
$k\leq n$. In this paper we give an upper and lower bound for
$rb(B_{n,k},mK_2)$, and show that for given $k$ and $m$, if $n$ is large
enough, $rb(B_{n,k},mK_2)$ can reach the lower bound. We also determine the
rainbow number of matchings in paths and cycles.
| math.CO | given a graph g and a subgraph h of g let rbgh be the minimum number r for which any edgecoloring of g with r colors has a rainbow subgraph h the number rbgh is called the rainbow number of h with respect to g denote mk_2 a matching of size m and b_nk a kregular bipartite graph with bipartition xy such that xyn and kleq n in this paper we give an upper and lower bound for rbb_nkmk_2 and show that for given k and m if n is large enough rbb_nkmk_2 can reach the lower bound we also determine the rainbow number of matchings in paths and cycles | [['given', 'a', 'graph', 'g', 'and', 'a', 'subgraph', 'h', 'of', 'g', 'let', 'rbgh', 'be', 'the', 'minimum', 'number', 'r', 'for', 'which', 'any', 'edgecoloring', 'of', 'g', 'with', 'r', 'colors', 'has', 'a', 'rainbow', 'subgraph', 'h', 'the', 'number', 'rbgh', 'is', 'called', 'the', 'rainbow', 'number', 'of', 'h', 'with', 'respect', 'to', 'g', 'denote', 'mk_2', 'a', 'matching', 'of', 'size', 'm', 'and', 'b_nk', 'a', 'kregular', 'bipartite', 'graph', 'with', 'bipartition', 'xy', 'such', 'that', 'xyn', 'and', 'kleq', 'n', 'in', 'this', 'paper', 'we', 'give', 'an', 'upper', 'and', 'lower', 'bound', 'for', 'rbb_nkmk_2', 'and', 'show', 'that', 'for', 'given', 'k', 'and', 'm', 'if', 'n', 'is', 'large', 'enough', 'rbb_nkmk_2', 'can', 'reach', 'the', 'lower', 'bound', 'we', 'also', 'determine', 'the', 'rainbow', 'number', 'of', 'matchings', 'in', 'paths', 'and', 'cycles']] | [-0.22449883638398238, 0.19004992234072737, -0.03575862468547981, -0.02841444632051409, -0.10643900585947214, -0.16271417378232367, 0.06963207042685503, 0.3604840286985833, -0.2146207730078863, -0.40145564934560013, 0.04282544762180704, -0.32524589262902737, -0.10282449165134933, 0.08937863012586066, -0.09387364318697816, -0.024657260294555238, 0.11128625534129916, 0.16647179861751352, 0.0612014229538747, -0.27417187226550327, 0.24130140980539888, -0.05867811314830625, 0.10934435470995528, 0.09237885656249192, 0.04898975594659095, 0.035845912494955376, 0.0439014795658834, 0.130921536228723, -0.2589525732830764, 0.06906021712347865, 0.25745293141463427, 0.17786932250277865, 0.23596119090776752, -0.3458034515001432, -0.13868905700036083, 0.28848449220984346, 0.13617867207654785, -0.016321359671160787, 0.016885809746411354, -0.16125982990531526, 0.18521983645465903, -0.11695363386361687, -0.06095927355259105, 0.03280506551662391, 0.20930841377142956, -0.0019076826240591429, -0.3545247608692282, -0.0770441509259938, 0.10335043978153004, 0.03706406305422273, 0.12847302994190682, -0.18365658181547015, -0.08561037472207789, 0.056714173378336626, -0.10057840405325233, 0.12178565241413673, -0.02223659275181557, -0.10916354037019321, -0.10883889892311008, 0.36080316367938564, -0.1133758303322894, -0.12485574181536557, 0.07114195817956459, -0.17173553565172134, -0.15743416222674703, 0.09599726984311861, 0.10434717356434299, 0.18613563486077409, -0.04791747546685791, 0.18137156266635024, -0.15915678983071335, 0.12264708763298889, 0.13209796555478265, 0.04880492450427954, 0.12673919630685337, 0.09846165599473924, 0.21975859963438577, 0.18357348478187946, -0.012955389020067674, 0.1323042635426477, -0.3251386182037769, -0.13283724298687755, -0.28191062610561923, 0.1029910618154746, -0.217864527650683, -0.1897122988011688, 0.34089351862806966, 0.08557841811260139, 0.22006497607152495, 0.13357577932657916, 0.18005228562483186, 0.08136236833201514, 0.002477414423116931, 0.23658442310988903, 0.06792082221040295, 0.22082294703081803, -0.10968683555687743, -0.21348963369166962, 0.019159187343946, 0.15142669806394865] |
711.2847 | On the existence of a rainbow 1-factor in proper coloring of
K_{rn}^{(r)} | El-Zanati et al proved that for any 1-factorization $\mathcal{F}$ of the
complete uniform hypergraph $\mathcal {G}=K_{rn}^{(r)}$ with $r\geq 2$ and
$n\geq 3$, there is a rainbow 1-factor. We generalize their result and show
that in any proper coloring of the complete uniform hypergraph $\mathcal
{G}=K_{rn}^{(r)}$ with $r\geq 2$ and $n\geq 3$, there is a rainbow 1-factor.
| math.CO | elzanati et al proved that for any 1factorization mathcalf of the complete uniform hypergraph mathcal gk_rnr with rgeq 2 and ngeq 3 there is a rainbow 1factor we generalize their result and show that in any proper coloring of the complete uniform hypergraph mathcal gk_rnr with rgeq 2 and ngeq 3 there is a rainbow 1factor | [['elzanati', 'et', 'al', 'proved', 'that', 'for', 'any', '1factorization', 'mathcalf', 'of', 'the', 'complete', 'uniform', 'hypergraph', 'mathcal', 'gk_rnr', 'with', 'rgeq', '2', 'and', 'ngeq', '3', 'there', 'is', 'a', 'rainbow', '1factor', 'we', 'generalize', 'their', 'result', 'and', 'show', 'that', 'in', 'any', 'proper', 'coloring', 'of', 'the', 'complete', 'uniform', 'hypergraph', 'mathcal', 'gk_rnr', 'with', 'rgeq', '2', 'and', 'ngeq', '3', 'there', 'is', 'a', 'rainbow', '1factor']] | [-0.18932308179308782, 0.11903303650752553, -0.0056966146419070805, 0.0004969123829999622, -0.08006888494457838, -0.20817446794782607, -0.017703579879313144, 0.41005815642903437, -0.15398485781097748, -0.289897639805205, 0.03348849923569568, -0.3053507151187591, -0.13036947242337946, 0.05329297082322949, -0.18590035851833955, -0.008206679222156416, 0.12885774109723433, 0.10559938443859793, 0.026263755473817856, -0.32680381563896277, 0.31582246531011926, -0.14752275152307637, 0.10783193478325628, 0.12991056467828183, 0.10388786844768615, 0.07232999178264642, 0.022585189567421966, 0.1300163467959413, -0.31349873055296484, 0.03453784154833488, 0.2786186675558675, 0.2266763881340904, 0.2705225758254528, -0.3550300863132162, -0.1955398906127743, 0.3106050013810537, 0.08428380930058237, 0.004308097064495087, -0.015102496019230699, -0.19404786993872444, 0.26131876582666386, -0.11076166958741422, -0.1724745560050854, 0.02230909153959661, 0.22355992846050352, -0.023795179688846164, -0.3874236934308736, -0.022020277584779938, 0.2672695340412968, 0.07068463648616705, 0.06515959369124107, -0.16749641728886175, -0.1108975971012183, 0.029681025160792865, -0.17062348697580537, 0.16603209343650993, -0.08028798581118572, -0.050434287250885425, -0.1641537181765087, 0.3228203544990634, -0.029446701993638615, -0.14711068359748372, 0.05348211625274622, -0.16575673397823745, -0.22892627018099687, 0.09477248134196929, -0.014597310877914698, 0.212845264600133, 0.012669965510590459, 0.22663827904363884, -0.18232745128982472, 0.15318138788471808, 0.19766776963084373, -0.007913984481315568, 0.05224225574770486, 0.10119013287091874, 0.19993698723473638, 0.11374148206328447, 0.06884705148338569, 0.13667035545112635, -0.3455531570603544, -0.11720592138480465, -0.21039763500667968, 0.18031458808812048, -0.21418362425311846, -0.1530493244458482, 0.30473046714686, 0.060027902524145145, 0.13754458166658878, 0.12234972464799318, 0.19110176993428535, 0.01690568140584905, -0.017429424225756864, 0.2685031622015643, 0.11775011513030754, 0.17345251357358582, -0.06187224321348487, -0.10017817825922426, -0.053612266280600486, 0.14209976797607146] |
711.2848 | Velocity Structure of Jets in Coronal Hole | Velocity structures of jets in a coronal hole have been derived for the first
time. Hinode observations revealed the existence of many bright points in
coronal holes. They are loop-shaped and sometimes associated with coronal jets.
Spectra obtained with the Extreme ultraviolet Imaging Spectrometer (EIS) on
board Hinode are analyzed to infer Doppler velocity of bright loops and jets in
a coronal hole of the north polar region. Elongated jets above bright loops are
found to be blue-shifted by 30 km/s at maximum, while foot points of bright
loops are red-shifted. Blue-shifts detected in coronal jets are interpreted as
upflows produced by magnetic reconnection between emerging flux and the ambient
field in the coronal hole.
| astro-ph | velocity structures of jets in a coronal hole have been derived for the first time hinode observations revealed the existence of many bright points in coronal holes they are loopshaped and sometimes associated with coronal jets spectra obtained with the extreme ultraviolet imaging spectrometer eis on board hinode are analyzed to infer doppler velocity of bright loops and jets in a coronal hole of the north polar region elongated jets above bright loops are found to be blueshifted by 30 kms at maximum while foot points of bright loops are redshifted blueshifts detected in coronal jets are interpreted as upflows produced by magnetic reconnection between emerging flux and the ambient field in the coronal hole | [['velocity', 'structures', 'of', 'jets', 'in', 'a', 'coronal', 'hole', 'have', 'been', 'derived', 'for', 'the', 'first', 'time', 'hinode', 'observations', 'revealed', 'the', 'existence', 'of', 'many', 'bright', 'points', 'in', 'coronal', 'holes', 'they', 'are', 'loopshaped', 'and', 'sometimes', 'associated', 'with', 'coronal', 'jets', 'spectra', 'obtained', 'with', 'the', 'extreme', 'ultraviolet', 'imaging', 'spectrometer', 'eis', 'on', 'board', 'hinode', 'are', 'analyzed', 'to', 'infer', 'doppler', 'velocity', 'of', 'bright', 'loops', 'and', 'jets', 'in', 'a', 'coronal', 'hole', 'of', 'the', 'north', 'polar', 'region', 'elongated', 'jets', 'above', 'bright', 'loops', 'are', 'found', 'to', 'be', 'blueshifted', 'by', '30', 'kms', 'at', 'maximum', 'while', 'foot', 'points', 'of', 'bright', 'loops', 'are', 'redshifted', 'blueshifts', 'detected', 'in', 'coronal', 'jets', 'are', 'interpreted', 'as', 'upflows', 'produced', 'by', 'magnetic', 'reconnection', 'between', 'emerging', 'flux', 'and', 'the', 'ambient', 'field', 'in', 'the', 'coronal', 'hole']] | [-0.13739840911458368, 0.23866242420981112, 0.03125691437769843, 0.18316178414565715, -0.08335839304060716, -0.10526773560382223, -0.047889741493955904, 0.5278276220125997, -0.12189075711952603, -0.3727622350272925, 0.07770242480378922, -0.3118214151214646, -0.014371147496706765, 0.25733830783840106, -0.018217227302501787, -0.012896158659587736, 0.09605292296644462, -0.06326762281520211, -0.03071205379218673, -0.14615463431438674, 0.2710174935788888, 0.10960210456877299, 0.1568888591359491, -0.032080047767933294, 0.0936800187089197, -0.18373063807983114, -0.041507364396491775, 0.08437790740483805, -0.06086944726336262, 0.03043951949372928, 0.20395318684370622, 0.08454113224642756, 0.20910873645701467, -0.4215619541704655, -0.2606420814424105, -0.06951736815314254, 0.2450674449528932, -0.05833351017056924, -0.03318678675847047, -0.3368556309896319, 0.07660954713659442, -0.06788390765128577, -0.15489797019602164, 0.08443921083665412, 0.010794660672747895, 0.021190420995243705, -0.2191590578254798, 0.09991807920412848, -0.030114853561795114, 0.14720796264870012, -0.12147553455003578, 0.0022101056114163086, -0.14546546325006562, 0.07664838631677887, 0.15521573670937316, 0.0648735138506669, 0.21980562420541663, -0.11887162574364439, -0.13561930019894372, 0.30706570969752806, 0.001166326374463413, 0.0664308030239266, 0.18045845696824075, -0.3117938598132004, -0.15019198469817638, 0.31554194006906905, 0.14591214917600154, 0.11106030762641002, -0.0909196895134696, -0.048195420846889686, -0.08240840876798915, 0.10160681485481884, 0.14765575238624992, 0.07157654951771965, 0.3572248930759404, -0.005493276894254529, 0.026063538781549458, 0.1509621765130483, -0.3138150710192428, -0.02776451342050796, -0.26517192558689123, -0.09430003877648192, -0.0659610524530644, 0.026931917743311953, -0.07511240200951959, -0.21538373621423607, 0.339734940967806, 0.10255888221056565, 0.2763907063043798, -0.12387273032218218, 0.31018931797022914, 0.09380438686449728, 0.06699137012474239, 0.2404868700663033, 0.35360981119472695, 0.2319506112182432, 0.23075907401457105, -0.198146112313818, -0.008666169732485128, 0.12330732814481725] |
711.2849 | Partitioning complete graphs by heterochromatic trees | A {\it heterochromatic tree} is an edge-colored tree in which any two edges
have different colors. The {\it heterochromatic tree partition number} of an
$r$-edge-colored graph $G$, denoted by $t_r(G)$, is the minimum positive
integer $p$ such that whenever the edges of the graph $G$ are colored with $r$
colors, the vertices of $G$ can be covered by at most $p$ vertex-disjoint
heterochromatic trees. In this paper we determine the heterochromatic tree
partition number of an $r$-edge-colored complete graph.
| math.CO | a it heterochromatic tree is an edgecolored tree in which any two edges have different colors the it heterochromatic tree partition number of an redgecolored graph g denoted by t_rg is the minimum positive integer p such that whenever the edges of the graph g are colored with r colors the vertices of g can be covered by at most p vertexdisjoint heterochromatic trees in this paper we determine the heterochromatic tree partition number of an redgecolored complete graph | [['a', 'it', 'heterochromatic', 'tree', 'is', 'an', 'edgecolored', 'tree', 'in', 'which', 'any', 'two', 'edges', 'have', 'different', 'colors', 'the', 'it', 'heterochromatic', 'tree', 'partition', 'number', 'of', 'an', 'redgecolored', 'graph', 'g', 'denoted', 'by', 't_rg', 'is', 'the', 'minimum', 'positive', 'integer', 'p', 'such', 'that', 'whenever', 'the', 'edges', 'of', 'the', 'graph', 'g', 'are', 'colored', 'with', 'r', 'colors', 'the', 'vertices', 'of', 'g', 'can', 'be', 'covered', 'by', 'at', 'most', 'p', 'vertexdisjoint', 'heterochromatic', 'trees', 'in', 'this', 'paper', 'we', 'determine', 'the', 'heterochromatic', 'tree', 'partition', 'number', 'of', 'an', 'redgecolored', 'complete', 'graph']] | [-0.21166247694128298, 0.2306701120486869, -0.044580254497454515, 0.009545237222344531, -0.1304006420453138, -0.13066381736528837, 0.05231286234169302, 0.40860769379872214, -0.27941513737763835, -0.37500541536962684, 0.03663666204908934, -0.37458713725209236, -0.15377164223007386, -0.0043447425565387625, -0.11594112093053476, -0.02777352752281895, 0.1318189569312749, 0.13974541212325986, 0.15280156803340947, -0.29144790489189737, 0.26011848059494663, -0.0803233286766689, 0.11660611038862527, 0.06119199235086577, 0.044343682654390607, 0.08265073105834331, 0.00474766017633337, 0.13210361114927108, -0.20918250394312007, 0.005548179756755693, 0.31163473351846765, 0.18852862366769887, 0.22134051985944372, -0.36979933605305376, -0.12987994122071356, 0.27692337716116183, 0.13981589258212265, -0.017845044105573075, 0.06398874601419968, -0.13014976511697604, 0.18382702592194458, -0.09484354107157339, -0.01682424616021446, 0.11244830585827556, 0.16988406415816537, -0.050133809285191226, -0.27339630130725573, -0.11816444579818391, 0.07046293471998806, 0.06472125440788797, 0.1581874008546878, -0.249264601676996, -0.14584339894000678, 0.10750312508744057, -0.1137521044186116, 0.17007522564823443, -3.23696250591097e-05, -0.11352457477168852, -0.191048106544097, 0.3308703387274018, -0.021196938520651076, -0.12687672962894356, 0.1115914589807957, -0.10681871692148992, -0.22054691599163262, 0.1531903095708429, 0.07112543461726437, 0.18581178746645963, -0.1321545892713379, 0.13931355450915384, -0.16330838943772677, 0.06907118833329104, 0.1822298381512961, -0.01943797998637244, 0.1652490434743747, 0.1402505310163892, 0.16731966716897545, 0.18106905149172142, 0.013141916428185716, 0.1368387894693149, -0.29849163989854766, -0.08386460586769294, -0.29884135767911807, 0.02051420190925651, -0.2638314838839483, -0.24207747744136973, 0.4054863991781692, 0.08734094555772652, 0.20747953083932022, 0.13534503328890976, 0.20292243946202193, 0.09164277986399358, 0.04778489851852572, 0.1971551256867338, 0.023689144833272772, 0.15255644076350558, -0.1303714876169268, -0.17857943206459662, 0.06856524438856618, 0.19367005547532176] |
711.285 | Granger Causality and Cross Recurrence Plots in Rheochaos | Our stress relaxation measurements on wormlike micelles using a Rheo-SALS
(rheology + small angle light scattering) apparatus allow simultaneous
measurements of the stress and the scattered depolarised intensity. The latter
is sensitive to orientational ordering of the micelles. To determine the
presence of causal influences between the stress and the depolarised intensity
time series, we have used the technique of linear and nonlinear Granger
causality. We find there exists a feedback mechanism between the two time
series and that the orientational order has a stronger causal effect on the
stress than vice versa. We have also studied the phase space dynamics of the
stress and the depolarised intensity time series using the recently developed
technique of cross recurrence plots (CRPs). The presence of diagonal line
structures in the CRPs unambiguously proves that the two time series share
similar phase space dynamics.
| nlin.CD nlin.PS | our stress relaxation measurements on wormlike micelles using a rheosals rheology small angle light scattering apparatus allow simultaneous measurements of the stress and the scattered depolarised intensity the latter is sensitive to orientational ordering of the micelles to determine the presence of causal influences between the stress and the depolarised intensity time series we have used the technique of linear and nonlinear granger causality we find there exists a feedback mechanism between the two time series and that the orientational order has a stronger causal effect on the stress than vice versa we have also studied the phase space dynamics of the stress and the depolarised intensity time series using the recently developed technique of cross recurrence plots crps the presence of diagonal line structures in the crps unambiguously proves that the two time series share similar phase space dynamics | [['our', 'stress', 'relaxation', 'measurements', 'on', 'wormlike', 'micelles', 'using', 'a', 'rheosals', 'rheology', 'small', 'angle', 'light', 'scattering', 'apparatus', 'allow', 'simultaneous', 'measurements', 'of', 'the', 'stress', 'and', 'the', 'scattered', 'depolarised', 'intensity', 'the', 'latter', 'is', 'sensitive', 'to', 'orientational', 'ordering', 'of', 'the', 'micelles', 'to', 'determine', 'the', 'presence', 'of', 'causal', 'influences', 'between', 'the', 'stress', 'and', 'the', 'depolarised', 'intensity', 'time', 'series', 'we', 'have', 'used', 'the', 'technique', 'of', 'linear', 'and', 'nonlinear', 'granger', 'causality', 'we', 'find', 'there', 'exists', 'a', 'feedback', 'mechanism', 'between', 'the', 'two', 'time', 'series', 'and', 'that', 'the', 'orientational', 'order', 'has', 'a', 'stronger', 'causal', 'effect', 'on', 'the', 'stress', 'than', 'vice', 'versa', 'we', 'have', 'also', 'studied', 'the', 'phase', 'space', 'dynamics', 'of', 'the', 'stress', 'and', 'the', 'depolarised', 'intensity', 'time', 'series', 'using', 'the', 'recently', 'developed', 'technique', 'of', 'cross', 'recurrence', 'plots', 'crps', 'the', 'presence', 'of', 'diagonal', 'line', 'structures', 'in', 'the', 'crps', 'unambiguously', 'proves', 'that', 'the', 'two', 'time', 'series', 'share', 'similar', 'phase', 'space', 'dynamics']] | [-0.15553758892719802, 0.15255110105164618, -0.12710386022536768, 0.04989583128242479, -0.05421737800586781, -0.0841411644050168, 0.023357274957175413, 0.3940559151455117, -0.27835040495282026, -0.2496168965795379, 0.07112237263601541, -0.2723124307285485, -0.16642263985955888, 0.1598578190310396, 0.04813042573175199, 0.05371514841136958, -0.009709784486364547, 0.011281087662917461, -0.06394525886707597, -0.2118582889410875, 0.27533169047866796, 0.062055406907720746, 0.32993803262415766, 0.03607421308059058, 0.10609886106505668, 0.05053739689906939, -0.0457043009659396, 0.0569425024592197, -0.1473289340188628, 0.053988960708940416, 0.19924998288411352, 0.07326203630232125, 0.21837721331708349, -0.45823001594905804, -0.20263472542488317, 0.12589782650294384, 0.08437930796422707, 0.08646335872727708, 0.0005223663094982826, -0.2583750105000657, -0.007931350435552409, -0.09565188467968255, -0.0954250922533784, -0.09638575282577666, 0.03472335275141991, 0.004029932099969981, -0.2397257415778774, 0.16068194211412912, 0.05615772022392514, 0.07021173504482714, -0.06720763632342791, -0.05223922546711757, -0.04997585472657526, 0.10256742384777197, 0.08640457154586643, 0.0018995679687145803, 0.13626472872393808, -0.06690956391528141, -0.08323355060633567, 0.31703554320638233, -0.07218204815141277, -0.17938647287891066, 0.17943477976678623, -0.20239133127335218, -0.1111478185508963, 0.17695876501044996, 0.169720699421043, 0.11123409484874913, -0.10963853450806932, 0.0006455086877656659, -0.03136560906448382, 0.20966535373155376, 0.09544732619961388, 0.015757949677758294, 0.18428438425519697, 0.144494462027985, 0.02159218401514101, 0.1533671882432356, -0.15633296128697424, -0.07687248711695345, -0.2754536785433243, -0.16292987897214914, -0.16104731811089074, -0.00812613575806399, -0.13100498950512152, -0.1434658709980494, 0.3718603979318785, 0.11289837246881329, 0.17678369527532745, 0.05835618840517114, 0.2729488204144571, 0.09500991537280903, 0.05454121316320819, 0.025279800601893193, 0.2836834071673078, 0.17268209913142507, 0.1433818578495428, -0.29353949611189123, 0.14596229881088404, 0.03912952534934814] |
711.2851 | Critical Lattice Size Limit for Synchronized Chaotic State in 1-D and
2-D Diffusively Coupled Map Lattices | We consider diffusively coupled map lattices with $P$ neighbors (where $P$ is
arbitrary) and study the stability of synchronized state. We show that there
exists a critical lattice size beyond which the synchronized state is unstable.
This generalizes earlier results for nearest neighbor coupling. We confirm the
analytical results by performing numerical simulations on coupled map lattices
with logistic map at each node. The above analysis is also extended to
2-dimensional $P$-neighbor diffusively coupled map lattices.
| nlin.CD nlin.PS | we consider diffusively coupled map lattices with p neighbors where p is arbitrary and study the stability of synchronized state we show that there exists a critical lattice size beyond which the synchronized state is unstable this generalizes earlier results for nearest neighbor coupling we confirm the analytical results by performing numerical simulations on coupled map lattices with logistic map at each node the above analysis is also extended to 2dimensional pneighbor diffusively coupled map lattices | [['we', 'consider', 'diffusively', 'coupled', 'map', 'lattices', 'with', 'p', 'neighbors', 'where', 'p', 'is', 'arbitrary', 'and', 'study', 'the', 'stability', 'of', 'synchronized', 'state', 'we', 'show', 'that', 'there', 'exists', 'a', 'critical', 'lattice', 'size', 'beyond', 'which', 'the', 'synchronized', 'state', 'is', 'unstable', 'this', 'generalizes', 'earlier', 'results', 'for', 'nearest', 'neighbor', 'coupling', 'we', 'confirm', 'the', 'analytical', 'results', 'by', 'performing', 'numerical', 'simulations', 'on', 'coupled', 'map', 'lattices', 'with', 'logistic', 'map', 'at', 'each', 'node', 'the', 'above', 'analysis', 'is', 'also', 'extended', 'to', '2dimensional', 'pneighbor', 'diffusively', 'coupled', 'map', 'lattices']] | [-0.1707338944450021, 0.14072454969088236, -0.004674724495659272, -0.014040858009830117, -0.01423424951111277, -0.22359477118278542, 0.08931755704184373, 0.3990775833403071, -0.2681405304558575, -0.17033487889915705, 0.09476310544336836, -0.3364605381588141, -0.17854471790914733, 0.13280551745245853, 0.047921480412284535, 0.02396835871040821, 0.11060174266497294, 0.07597591372827689, -0.04784343618589143, -0.2570910511445254, 0.31269773782230914, 0.026815770839651424, 0.2635655000060797, -0.02239127897967895, 0.0960196647917231, 0.028214496336877348, 0.026231478974223135, 0.03539679938306411, -0.20393471074959962, 0.05392055180544655, 0.20452735252678395, 0.01307989817733566, 0.233694839378198, -0.3899811970690886, -0.23431740580747526, 0.1274745655680696, 0.17448973461985587, 0.13387404177803547, -0.007563087103189901, -0.2875062781230857, 0.09943165138674279, -0.10994209757695596, -0.17694963541502753, -0.09440533243274937, 0.015937133791546026, 0.08509184998460113, -0.30523534372448924, 0.07044833735524056, 0.08099610205118855, 0.07123567275082071, -0.061032132773349686, -0.05202713523060083, -0.04188679521282514, 0.09329652748536318, -0.05464815847498054, 0.08015842717451353, 0.0912218280384938, -0.06798166158609092, -0.11189331302419304, 0.34582427869240445, -0.09399273346411065, -0.2098660215983788, 0.22843902390450238, -0.14216721766938767, -0.13235487846036753, 0.10953918319195509, 0.1520391680051883, 0.0638060353944699, -0.06673837545017401, 0.10707102758732313, -0.1221230582272013, 0.20879757251590492, 0.0427320217465361, -0.06027891432866454, 0.17864710797866185, 0.20651534579073388, 0.12724680916716655, 0.2000472629877428, -0.042024751780554655, -0.18147581602136295, -0.2551124307513237, -0.06650586521097769, -0.18824532972027858, 0.04616405177395791, -0.10435568778445789, -0.11019797561069329, 0.3529387595007817, 0.1626140467915684, 0.20732978783547878, 0.0707248559112971, 0.24629234298908462, 0.1144413994376858, 0.006277558493117491, 0.10711405395530164, 0.20260790310800075, 0.14541048570536078, 0.017438079869995515, -0.24645199581359822, -0.041112309253464145, 0.10620593583211303] |
711.2852 | Instability of Population III Black Hole Accretion Disks | We investigate the stability of black hole accretion disks in a primordial
environment (POP III disks for short), by solving the vertical structure of
optically thick disks, including convective energy transport, and by employing
a one-zone model for optically thin isothermal disks. Because of the absence of
metals in POP III disks, we find significant differences in stability
associated with ionization between POP III disks and the disks of solar
metallicity. An unstable branch in S-shaped equilibrium curves on the
Mdot-Sigma (mass accretion rate - surface density) plane extends to a larger
surface density compared with the case of disks of solar metallicity. The
resulting equilibrium loci indicate that quasi-periodic oscillations in
luminosity can also be driven in POP III disks, and their maximal luminosity is
typically by an order of magnitude larger than that of the disks of solar
metallicity. Such a strong outburst of POP III disks can be observed by future
huge telescopes, in case that the mass is supplied onto the disks at the Bondi
accretion rates in typical virialized small dark halos.
| astro-ph | we investigate the stability of black hole accretion disks in a primordial environment pop iii disks for short by solving the vertical structure of optically thick disks including convective energy transport and by employing a onezone model for optically thin isothermal disks because of the absence of metals in pop iii disks we find significant differences in stability associated with ionization between pop iii disks and the disks of solar metallicity an unstable branch in sshaped equilibrium curves on the mdotsigma mass accretion rate surface density plane extends to a larger surface density compared with the case of disks of solar metallicity the resulting equilibrium loci indicate that quasiperiodic oscillations in luminosity can also be driven in pop iii disks and their maximal luminosity is typically by an order of magnitude larger than that of the disks of solar metallicity such a strong outburst of pop iii disks can be observed by future huge telescopes in case that the mass is supplied onto the disks at the bondi accretion rates in typical virialized small dark halos | [['we', 'investigate', 'the', 'stability', 'of', 'black', 'hole', 'accretion', 'disks', 'in', 'a', 'primordial', 'environment', 'pop', 'iii', 'disks', 'for', 'short', 'by', 'solving', 'the', 'vertical', 'structure', 'of', 'optically', 'thick', 'disks', 'including', 'convective', 'energy', 'transport', 'and', 'by', 'employing', 'a', 'onezone', 'model', 'for', 'optically', 'thin', 'isothermal', 'disks', 'because', 'of', 'the', 'absence', 'of', 'metals', 'in', 'pop', 'iii', 'disks', 'we', 'find', 'significant', 'differences', 'in', 'stability', 'associated', 'with', 'ionization', 'between', 'pop', 'iii', 'disks', 'and', 'the', 'disks', 'of', 'solar', 'metallicity', 'an', 'unstable', 'branch', 'in', 'sshaped', 'equilibrium', 'curves', 'on', 'the', 'mdotsigma', 'mass', 'accretion', 'rate', 'surface', 'density', 'plane', 'extends', 'to', 'a', 'larger', 'surface', 'density', 'compared', 'with', 'the', 'case', 'of', 'disks', 'of', 'solar', 'metallicity', 'the', 'resulting', 'equilibrium', 'loci', 'indicate', 'that', 'quasiperiodic', 'oscillations', 'in', 'luminosity', 'can', 'also', 'be', 'driven', 'in', 'pop', 'iii', 'disks', 'and', 'their', 'maximal', 'luminosity', 'is', 'typically', 'by', 'an', 'order', 'of', 'magnitude', 'larger', 'than', 'that', 'of', 'the', 'disks', 'of', 'solar', 'metallicity', 'such', 'a', 'strong', 'outburst', 'of', 'pop', 'iii', 'disks', 'can', 'be', 'observed', 'by', 'future', 'huge', 'telescopes', 'in', 'case', 'that', 'the', 'mass', 'is', 'supplied', 'onto', 'the', 'disks', 'at', 'the', 'bondi', 'accretion', 'rates', 'in', 'typical', 'virialized', 'small', 'dark', 'halos']] | [-0.09574273371802909, 0.14863267697543572, 0.006315246495817389, 0.12852999692583192, -0.03999858722090721, -0.04216717218181917, 0.03286950287276081, 0.38610738395580224, -0.18650211024863114, -0.33882882927943553, 0.06894202731017555, -0.242923817991146, -0.005085826609283686, 0.22007811598346702, -0.030956310744264297, -0.01185940963349172, 0.04617064945931946, -0.14411784214898943, -0.08898476668966136, -0.22460033996097212, 0.37033904723290884, 0.07453166189071324, 0.12489171642277921, -0.07272155196006809, -0.0038597559483189666, -0.14982187518716922, -0.01542567851287978, 0.01933089977396386, -0.19393618800864454, 0.024456356197063413, 0.22024317177877362, 0.09539912754137601, 0.22695941367585745, -0.4473508081052984, -0.22359411463673626, 0.07183339901268482, 0.19625711077159005, 0.04534046429076365, -0.10316769338761722, -0.1711761363502592, 0.08568622325513778, -0.1944842126227117, -0.1704275646539671, 0.08063868185904409, 0.06991235172109944, 0.048924112075141496, -0.2315144714613312, 0.15586220691629155, 0.10001344383561185, 0.05196322764136962, -0.11909845360421709, -0.0622316609722163, -0.1501707909389266, 0.017007815563785177, 0.05961498638548489, 0.012226453038996884, 0.2450196002370545, -0.17819251101996217, -0.020237757065998657, 0.3802064359454172, -0.13807867887671038, -0.05788455910182425, 0.2379998003957527, -0.25192849489195007, -0.06468973649931806, 0.18932265548301594, 0.18250133655233575, 0.1544472071441955, -0.10202517986863054, 0.04986130122793839, -0.01881006202660501, 0.2014039035726871, 0.07938207377812692, 0.009232187162020377, 0.401878222280315, 0.14400639061549944, 0.04596337160228618, 0.09169363036685224, -0.16968106705329514, -0.08952836532944015, -0.22017332659768207, -0.16862914797974685, -0.12054603819668826, 0.11947308770380914, -0.14314521201728245, -0.17493566901289992, 0.30451002780015446, 0.055958295141213706, 0.23556788460484573, 0.027338584066767778, 0.28156659922429494, 0.10983250201812812, 0.08579775010235607, 0.1730093949647354, 0.3331283207397376, 0.16454286321199366, 0.1108809044705205, -0.2984999629828547, 0.10382633087491351, 0.015582312341513378] |
711.2853 | A Time-Variable X-Ray Echo: Indications of a Past Flare of the
Galactic-Center Black Hole | A time-variability study of the neutral iron line flux at 6.40keV in the Sgr
B2 region from data of Suzaku and Chandra is presented. The highly ionized iron
line at 6.68keV is due to Galactic Center Diffuse X-rays (GCDX), and is thus
time invariable. By comparing the 6.68keV and 6.40keV line fluxes, we found
that the 6.40keV flux from the SgrB2 complex region is time variable;
particularly the giant molecular cloud M0.66-0.02, known as ``Sgr B2 cloud'' is
highly variable. The variability of the 6.40keV line in intensity and spatial
distribution strongly supports the scenario that the molecular clouds in the
SgrB2 region are X-ray Reflection Nebulae irradiated by the Galactic Center
(GC) black hole Sgr A*.
| astro-ph | a timevariability study of the neutral iron line flux at 640kev in the sgr b2 region from data of suzaku and chandra is presented the highly ionized iron line at 668kev is due to galactic center diffuse xrays gcdx and is thus time invariable by comparing the 668kev and 640kev line fluxes we found that the 640kev flux from the sgrb2 complex region is time variable particularly the giant molecular cloud m066002 known as sgr b2 cloud is highly variable the variability of the 640kev line in intensity and spatial distribution strongly supports the scenario that the molecular clouds in the sgrb2 region are xray reflection nebulae irradiated by the galactic center gc black hole sgr a | [['a', 'timevariability', 'study', 'of', 'the', 'neutral', 'iron', 'line', 'flux', 'at', '640kev', 'in', 'the', 'sgr', 'b2', 'region', 'from', 'data', 'of', 'suzaku', 'and', 'chandra', 'is', 'presented', 'the', 'highly', 'ionized', 'iron', 'line', 'at', '668kev', 'is', 'due', 'to', 'galactic', 'center', 'diffuse', 'xrays', 'gcdx', 'and', 'is', 'thus', 'time', 'invariable', 'by', 'comparing', 'the', '668kev', 'and', '640kev', 'line', 'fluxes', 'we', 'found', 'that', 'the', '640kev', 'flux', 'from', 'the', 'sgrb2', 'complex', 'region', 'is', 'time', 'variable', 'particularly', 'the', 'giant', 'molecular', 'cloud', 'm066002', 'known', 'as', 'sgr', 'b2', 'cloud', 'is', 'highly', 'variable', 'the', 'variability', 'of', 'the', '640kev', 'line', 'in', 'intensity', 'and', 'spatial', 'distribution', 'strongly', 'supports', 'the', 'scenario', 'that', 'the', 'molecular', 'clouds', 'in', 'the', 'sgrb2', 'region', 'are', 'xray', 'reflection', 'nebulae', 'irradiated', 'by', 'the', 'galactic', 'center', 'gc', 'black', 'hole', 'sgr', 'a']] | [-0.09125066513865533, 0.06637167424911208, 0.0011587583280184813, 0.07385376477797859, -0.0750457288599328, -0.06650364011926413, 0.07074754362264157, 0.47200033446087647, -0.1676682714299348, -0.2905936473817156, 0.05199202561542686, -0.32005516061020134, 0.01634347734139546, 0.17670762063036755, 0.0064049277042565675, -0.06904329797161106, 0.004193216774678021, -0.09984212153052029, 0.027088778440660814, -0.13578567472735845, 0.31162472512050154, 0.12451736530158342, 0.188316933647321, 0.016727328962205273, 0.02739590083007913, -0.11856215611394298, -0.04915564999049693, -0.012717145086641898, -0.04140582739177932, 0.0699850018708068, 0.21798386778927556, 0.10256941071527667, 0.12874331225624733, -0.35810457907306653, -0.266754165683922, 0.017064296629222667, 0.20987434470729918, -0.019093936472608333, -0.035098331159372866, -0.284317921879783, 0.02635743512706668, -0.14431672334760884, -0.23401104403136855, 0.12994936811574326, 0.08314824987635866, 0.047440689118382964, -0.17360589986569003, 0.11798584251664579, -0.014758194008384618, 0.06861421198629071, -0.1341083279827185, -0.05792974914309748, -0.07686950831690378, 0.02410157475816576, 0.04263735505989181, 0.11019082054324252, 0.2551250157902311, -0.10297218318660989, -0.01612785365432501, 0.4130239501317734, -0.043885253145147046, 0.03779858913989492, 0.19849692588149195, -0.2738319443898243, -0.21932361159359284, 0.2681782865700753, 0.09557668686632001, 0.1525700244309152, -0.15744518957166165, 0.06922241255208, -0.09046230131858274, 0.21527551072894743, 0.02645027117493252, 0.024504276490851976, 0.33872031838543254, 0.06665235344961841, 0.03698936588408654, 0.15952636262303904, -0.3325880329868054, -0.07902274463987469, -0.20937623218924273, -0.08898674101331844, -0.13835423625597174, 0.05282775221980716, -0.12352117667283062, -0.11742474841058108, 0.30792925669811666, 0.03598716454743816, 0.24825215627226913, -0.05172169785293048, 0.31594344579794426, 0.10072251767014039, 0.03617804724592389, 0.1641376413723552, 0.2779573047198682, 0.16816124461770973, 0.1729782990490397, -0.2654475654197628, 0.10720516027670288, -0.004606290900132112] |
711.2854 | Generating Function in Quantum Mechanics: An Application to Counting
Problems | In this paper we present a generating function approach to two counting
problems in elementary quantum mechanics. The first is to find the total ways
of distributing identical particles among different states. The second is to
find the degeneracies of energy levels in a quantum system with multiple
degrees of freedom. Our approach provides an alternative to the methods in
textbooks.
| physics.gen-ph quant-ph | in this paper we present a generating function approach to two counting problems in elementary quantum mechanics the first is to find the total ways of distributing identical particles among different states the second is to find the degeneracies of energy levels in a quantum system with multiple degrees of freedom our approach provides an alternative to the methods in textbooks | [['in', 'this', 'paper', 'we', 'present', 'a', 'generating', 'function', 'approach', 'to', 'two', 'counting', 'problems', 'in', 'elementary', 'quantum', 'mechanics', 'the', 'first', 'is', 'to', 'find', 'the', 'total', 'ways', 'of', 'distributing', 'identical', 'particles', 'among', 'different', 'states', 'the', 'second', 'is', 'to', 'find', 'the', 'degeneracies', 'of', 'energy', 'levels', 'in', 'a', 'quantum', 'system', 'with', 'multiple', 'degrees', 'of', 'freedom', 'our', 'approach', 'provides', 'an', 'alternative', 'to', 'the', 'methods', 'in', 'textbooks']] | [-0.13802033668139674, 0.1311501840868541, -0.1264559553523899, 0.05069765380820351, -0.007843622266024839, -0.08687312697961194, 0.029773372189202882, 0.3071645599805185, -0.26555962975091135, -0.3855407878329031, -0.034293428231336055, -0.29300108222199267, -0.1477681582528319, 0.17153788107584733, -0.06216328575840739, 0.04271191369253592, 0.03285188227891922, 0.02149140561136921, -0.07177896478182835, -0.27286857561986955, 0.315003121252645, 0.02685520869343862, 0.2651755494202991, 0.04103229562828287, 0.12181486627545024, 0.010932498855791131, 0.010980093637939359, -0.023239682779693214, -0.09567468068333435, 0.18711835880607336, 0.2748998217437355, 0.1145568222387648, 0.30280733207759797, -0.4132460618208422, -0.18960032253297138, 0.09230809709148817, 0.13429404309660684, 0.18967082905659421, -0.006012630803495279, -0.20661782224464123, 0.04100233108782377, -0.16455500746970295, -0.14260749438716497, -0.06128137963289609, -0.0006313859256076031, -0.015837832216600903, -0.24230508277284318, 0.07182005212688056, 0.02482616289167619, 0.02702877763658762, -0.025371727029808232, -0.10661066647764052, 0.0677094912255702, 0.14440409146768393, 0.036798627470757385, -0.03621436384521791, 0.07281179613907074, -0.13718411092432675, -0.18922014235228787, 0.40095174901920266, -0.0012368343037660004, -0.2518593882378496, 0.2020798366608434, -0.08485936797911027, -0.16756182361668984, 0.08576419231955146, 0.14370234692316564, 0.15117744057149182, -0.18408934100240956, 0.05028822716539268, -0.0225739773729297, 0.17807737162306173, 0.016366847790777683, 0.06837039892790747, 0.2279992773976238, 0.12065937748697937, 0.07661390729004243, 0.19766409525678294, -0.04662402218482534, -0.15103017159004803, -0.322979507930615, -0.20998426885573102, -0.19410289257581606, 0.032745396779453165, -0.035314711314610774, -0.16547563423204129, 0.4381219038098562, 0.1802675535455804, 0.1848939574461003, 0.023910984503807593, 0.33547463854316806, 0.13115712818040773, 0.0346266493338664, 0.04848787425177508, 0.23291058220793723, 0.0940839318734151, 0.06301934647633405, -0.19683341021300294, -0.03398877556328891, 0.03877655838112362] |
711.2855 | Mitigating the effects of measurement noise on Granger causality | Computing Granger causal relations among bivariate experimentally observed
time series has received increasing attention over the past few years. Such
causal relations, if correctly estimated, can yield significant insights into
the dynamical organization of the system being investigated. Since experimental
measurements are inevitably contaminated by noise, it is thus important to
understand the effects of such noise on Granger causality estimation. The first
goal of this paper is to provide an analytical and numerical analysis of this
problem. Specifically, we show that, due to noise contamination, (1) spurious
causality between two measured variables can arise and (2) true causality can
be suppressed. The second goal of the paper is to provide a denoising strategy
to mitigate this problem. Specifically, we propose a denoising algorithm based
on the combined use of the Kalman filter theory and the
Expectation-Maximization (EM) algorithm. Numerical examples are used to
demonstrate the effectiveness of the denoising approach.
| physics.data-an physics.bio-ph physics.geo-ph | computing granger causal relations among bivariate experimentally observed time series has received increasing attention over the past few years such causal relations if correctly estimated can yield significant insights into the dynamical organization of the system being investigated since experimental measurements are inevitably contaminated by noise it is thus important to understand the effects of such noise on granger causality estimation the first goal of this paper is to provide an analytical and numerical analysis of this problem specifically we show that due to noise contamination 1 spurious causality between two measured variables can arise and 2 true causality can be suppressed the second goal of the paper is to provide a denoising strategy to mitigate this problem specifically we propose a denoising algorithm based on the combined use of the kalman filter theory and the expectationmaximization em algorithm numerical examples are used to demonstrate the effectiveness of the denoising approach | [['computing', 'granger', 'causal', 'relations', 'among', 'bivariate', 'experimentally', 'observed', 'time', 'series', 'has', 'received', 'increasing', 'attention', 'over', 'the', 'past', 'few', 'years', 'such', 'causal', 'relations', 'if', 'correctly', 'estimated', 'can', 'yield', 'significant', 'insights', 'into', 'the', 'dynamical', 'organization', 'of', 'the', 'system', 'being', 'investigated', 'since', 'experimental', 'measurements', 'are', 'inevitably', 'contaminated', 'by', 'noise', 'it', 'is', 'thus', 'important', 'to', 'understand', 'the', 'effects', 'of', 'such', 'noise', 'on', 'granger', 'causality', 'estimation', 'the', 'first', 'goal', 'of', 'this', 'paper', 'is', 'to', 'provide', 'an', 'analytical', 'and', 'numerical', 'analysis', 'of', 'this', 'problem', 'specifically', 'we', 'show', 'that', 'due', 'to', 'noise', 'contamination', '1', 'spurious', 'causality', 'between', 'two', 'measured', 'variables', 'can', 'arise', 'and', '2', 'true', 'causality', 'can', 'be', 'suppressed', 'the', 'second', 'goal', 'of', 'the', 'paper', 'is', 'to', 'provide', 'a', 'denoising', 'strategy', 'to', 'mitigate', 'this', 'problem', 'specifically', 'we', 'propose', 'a', 'denoising', 'algorithm', 'based', 'on', 'the', 'combined', 'use', 'of', 'the', 'kalman', 'filter', 'theory', 'and', 'the', 'expectationmaximization', 'em', 'algorithm', 'numerical', 'examples', 'are', 'used', 'to', 'demonstrate', 'the', 'effectiveness', 'of', 'the', 'denoising', 'approach']] | [-0.07954808307305866, 0.041702201692576345, -0.11615477445911591, 0.10435553817371437, -0.10125875373105735, -0.14048037284889586, 0.03605967475523839, 0.3946490197300615, -0.30331919091870846, -0.33278768536147496, 0.11083202402952393, -0.27648612792720856, -0.24040112086873971, 0.17241030449158704, -0.11331926037662274, 0.08174491230558777, 0.06543473454056592, 0.026919095513691496, -0.05659145227362038, -0.2714401020989167, 0.28232105923754885, 0.08959100119128133, 0.28889107719581847, 0.021637569607192316, 0.11324281240227503, 0.0061592302055387994, -0.1164222081821714, 0.04747864863772056, -0.09482486786141364, 0.11174487424490122, 0.270503441297406, 0.19043534344666643, 0.3348494094629951, -0.43411754803201613, -0.23010287913709682, 0.14122839661204065, 0.1383074508804137, 0.11119031449409807, -0.022740323764167184, -0.3036925544104977, 0.0976870870402712, -0.14549322447751878, -0.03611115330139434, -0.1133191817392293, -0.02410859407684365, -0.02951544832240864, -0.28426363159415147, 0.10645293026841832, 0.060962071453201094, 0.03199452426383235, -0.03826457117329543, -0.10535225866050983, 0.030851280958151185, 0.11306948028813234, 0.07732546684911956, 0.0029210355641653405, 0.10554157683875609, -0.07032600865662345, -0.12194646037775801, 0.3407720751715022, -0.013253051003546066, -0.2073809111873243, 0.16318909235033421, -0.10359128963646312, -0.14972928625805956, 0.12630545190652673, 0.22736372545188824, 0.06806436771779809, -0.17652149842928674, 0.022744857860707512, -0.024738014820617753, 0.16659830770970305, 0.04215539926555106, 0.042467640378259564, 0.15892292364247587, 0.18032831458038717, 0.054025855334784025, 0.14621325450778216, -0.12238589109581531, -0.0628487651879338, -0.26792210942467315, -0.10323065328134211, -0.19410439409930044, -0.0019352401904330053, -0.08062670616687828, -0.1221688669637487, 0.3758400611067499, 0.25061319984606656, 0.16132660709407848, 0.05057509082973941, 0.34519549254451365, 0.13762049781180152, 0.025422125249879052, 0.04807040932286062, 0.24388907712248975, 0.14457973825054501, 0.06547533030797487, -0.21901033134589015, 0.11293592566504014, 0.015166224142388496] |
711.2856 | Lifting of nilpotent contractions | It is proved that that every nilpotent contraction in a quotient C*-algebra
can be lifted to a nilpotent contraction. As a consequence we get that the
universal C*-algebra generated by a nilpotent contraction is projective. This
answers the question posed by T. Loring.
| math.OA math.FA | it is proved that that every nilpotent contraction in a quotient calgebra can be lifted to a nilpotent contraction as a consequence we get that the universal calgebra generated by a nilpotent contraction is projective this answers the question posed by t loring | [['it', 'is', 'proved', 'that', 'that', 'every', 'nilpotent', 'contraction', 'in', 'a', 'quotient', 'calgebra', 'can', 'be', 'lifted', 'to', 'a', 'nilpotent', 'contraction', 'as', 'a', 'consequence', 'we', 'get', 'that', 'the', 'universal', 'calgebra', 'generated', 'by', 'a', 'nilpotent', 'contraction', 'is', 'projective', 'this', 'answers', 'the', 'question', 'posed', 'by', 't', 'loring']] | [-0.12165201940508776, 0.1941342384792691, -0.10811486129843911, 0.03132955177936183, -0.13979064144713935, -0.16866570520539617, -0.006950544453291006, 0.34505504231120265, -0.4333022482866465, -0.14078006442896154, 0.14089730995718044, -0.19702938123237948, -0.13159320739552724, 0.1901558528351056, -0.22685640270626822, -0.06786206773980412, 0.102826704671823, 0.12097507659995625, -0.07958658280522497, -0.30142116529303925, 0.3874135778047318, -0.001027101336783448, 0.14384774928695934, 0.0703490816468243, 0.13621372525948425, -0.03358841151388925, 0.06407272696581691, 0.04683967133940652, -0.11187469891829518, 0.05244145628611752, 0.3448027099461056, 0.16033630081733993, 0.27492704590089445, -0.29267090555418523, -0.1619231011664365, 0.20116459281551977, 0.1869603205082375, -0.0012377066494420517, -0.10371264107092175, -0.28995564144624525, 0.10687643191019117, -0.22374061308801174, -0.1454135663374219, -0.12535297961602376, 0.12208740192270556, -0.12765363361253296, -0.266567045118833, 0.014559265204467053, 0.20868089158347872, 0.0675960737388841, -0.03297706150861327, 0.06908287392519036, -0.12555041346092558, 0.04471534165705359, -0.06326217768540562, 0.08978198353894228, 0.13006608831279284, 0.03890173856797086, -0.15791291308177766, 0.37434438750321086, -0.0673206809821517, -0.20425222506530064, 0.09523901767855467, -0.1609507147439344, -0.17116989815596836, 0.10560098520025264, -0.024090978690574683, 0.19670711856248768, -0.03570104416373164, 0.23197140295578297, -0.197735212570013, 0.04971646838063418, 0.1290139716638382, -0.10761127838605018, 0.10377488485375029, 0.10872820747453113, 0.1260000702946685, 0.09528668140072029, 0.17455963444961017, 0.07279165821193262, -0.3574583984391634, -0.16746791517145412, -0.168136352153365, 0.2515178861226453, -0.06782232638621746, -0.13380754635084507, 0.35656620429958713, 0.10590630287824329, 0.25174226782956094, 0.08827736573077219, 0.22605635732585608, 0.1049491828930196, 0.08901775940213093, 0.1114730853587389, 0.13311288462475288, 0.26489612015050856, -0.07922500610178293, -0.14343572375472896, 0.015087156112544065, 0.2839832871415934] |
711.2857 | Theoretical fits of the \delta Cephei light, radius and radial velocity
curves | We present a theoretical investigation of the light, radius and radial
velocity variations of the prototype $\delta$ Cephei. We find that the best fit
model accounts for luminosity and velocity amplitudes with an accuracy better
than $0.8\sigma$, and for the radius amplitude with an accuracy of $1.7\sigma$.
The chemical composition of this model suggests a decrease in both helium (0.26
vs 0.28) and metal (0.01 vs 0.02) content in the solar neighborhood. Moreover,
distance determinations based on the fit of light curves agree at the
$0.8\sigma$ level with the trigonometric parallax measured by the Hubble Space
Telescope (HST). On the other hand, distance determinations based on angular
diameter variations, that are independent of interstellar extinction and of the
$p$-factor value, indicate an increase of the order of 5% in the HST parallax.
| astro-ph | we present a theoretical investigation of the light radius and radial velocity variations of the prototype delta cephei we find that the best fit model accounts for luminosity and velocity amplitudes with an accuracy better than 08sigma and for the radius amplitude with an accuracy of 17sigma the chemical composition of this model suggests a decrease in both helium 026 vs 028 and metal 001 vs 002 content in the solar neighborhood moreover distance determinations based on the fit of light curves agree at the 08sigma level with the trigonometric parallax measured by the hubble space telescope hst on the other hand distance determinations based on angular diameter variations that are independent of interstellar extinction and of the pfactor value indicate an increase of the order of 5 in the hst parallax | [['we', 'present', 'a', 'theoretical', 'investigation', 'of', 'the', 'light', 'radius', 'and', 'radial', 'velocity', 'variations', 'of', 'the', 'prototype', 'delta', 'cephei', 'we', 'find', 'that', 'the', 'best', 'fit', 'model', 'accounts', 'for', 'luminosity', 'and', 'velocity', 'amplitudes', 'with', 'an', 'accuracy', 'better', 'than', '08sigma', 'and', 'for', 'the', 'radius', 'amplitude', 'with', 'an', 'accuracy', 'of', '17sigma', 'the', 'chemical', 'composition', 'of', 'this', 'model', 'suggests', 'a', 'decrease', 'in', 'both', 'helium', '026', 'vs', '028', 'and', 'metal', '001', 'vs', '002', 'content', 'in', 'the', 'solar', 'neighborhood', 'moreover', 'distance', 'determinations', 'based', 'on', 'the', 'fit', 'of', 'light', 'curves', 'agree', 'at', 'the', '08sigma', 'level', 'with', 'the', 'trigonometric', 'parallax', 'measured', 'by', 'the', 'hubble', 'space', 'telescope', 'hst', 'on', 'the', 'other', 'hand', 'distance', 'determinations', 'based', 'on', 'angular', 'diameter', 'variations', 'that', 'are', 'independent', 'of', 'interstellar', 'extinction', 'and', 'of', 'the', 'pfactor', 'value', 'indicate', 'an', 'increase', 'of', 'the', 'order', 'of', '5', 'in', 'the', 'hst', 'parallax']] | [-0.06132704575870638, 0.09534483182957929, -0.0803504983196035, 0.026470557672754778, -0.06157790484245528, -0.0860428063950332, 0.08753063267795369, 0.3960981527625611, -0.16663450212217867, -0.37977772766272677, 0.042268937325747116, -0.3279210844599275, -0.021163316990361745, 0.2351024925504162, -0.059208187253468415, 0.0009977972685274753, 0.0846716981472899, -0.006757242068874113, -0.13080435262787488, -0.22218571171150403, 0.25038019283039664, 0.06779518965490614, 0.20320690819062293, 0.021628000297244977, 0.059126853742892505, -0.050091431299788935, -0.08590182402545135, 0.01105089282778367, -0.19725763234788302, 0.09868477370985078, 0.11423640089307094, 0.07670852252378994, 0.1650846787114543, -0.3033407111334699, -0.1983839509440727, 0.055100307327158975, 0.14942861568168597, 0.008206957792439922, -0.005958813323752221, -0.25148602206062415, 0.011964780359641847, -0.12066929469371891, -0.19991554309451726, 0.050223990814904966, 0.0856909026730467, 0.03852766474169171, -0.2525227891041361, 0.1460464020668896, -0.049545109935217733, 0.1391326155809855, -0.1383508171491099, -0.2046633629290613, -0.049969483188981416, 0.07813643746670675, 0.015750759902320253, 0.12926989285540802, 0.10729674881352394, -0.09740146885054525, -0.024076647347431968, 0.40493033217992913, -0.14535143020332203, -0.08118568736685891, 0.12578777817543596, -0.20710679169419702, -0.1073963940319972, 0.10429958832647765, 0.16320181139533155, 0.08173350338598317, -0.1393065923034693, 0.027218761008539746, 0.021715578483770405, 0.2848045946606858, 0.061032350728937396, 0.06775701719434989, 0.24354579700439266, 0.17161970086674433, 0.042932647400338086, -0.001010730505875086, -0.24840480770922801, -0.0334567157622201, -0.28092390506274323, -0.12371432531808475, -0.11062247730142465, 0.018184140855517013, -0.21724802099296622, -0.12920224942817268, 0.3481238510276219, 0.14496982947457582, 0.25346932855653437, 0.08462030166816531, 0.3160207422986401, 0.08747600571774511, 0.07892998598981649, 0.08381703270556913, 0.35360217193550797, 0.14941236431442315, 0.08240888080432672, -0.2858941806674314, 0.11175122096513708, 0.01598022480241277] |
711.2858 | Dilaton as a Dark Matter Candidate and its Detection | Assuming that the dilaton is the dark matter of the universe, we propose an
experiment to detect the relic dilaton using the electromagnetic resonant
cavity, based on the dilaton-photon conversion in strong electromagnetic
background. We calculate the density of the relic dilaton, and estimate the
dilaton mass for which the dilaton becomes the dark matter of the universe.
With this we calculate the dilaton detection power in the resonant cavity, and
compare it with the axion detection power in similar resonant cavity
experiment.
| gr-qc hep-th | assuming that the dilaton is the dark matter of the universe we propose an experiment to detect the relic dilaton using the electromagnetic resonant cavity based on the dilatonphoton conversion in strong electromagnetic background we calculate the density of the relic dilaton and estimate the dilaton mass for which the dilaton becomes the dark matter of the universe with this we calculate the dilaton detection power in the resonant cavity and compare it with the axion detection power in similar resonant cavity experiment | [['assuming', 'that', 'the', 'dilaton', 'is', 'the', 'dark', 'matter', 'of', 'the', 'universe', 'we', 'propose', 'an', 'experiment', 'to', 'detect', 'the', 'relic', 'dilaton', 'using', 'the', 'electromagnetic', 'resonant', 'cavity', 'based', 'on', 'the', 'dilatonphoton', 'conversion', 'in', 'strong', 'electromagnetic', 'background', 'we', 'calculate', 'the', 'density', 'of', 'the', 'relic', 'dilaton', 'and', 'estimate', 'the', 'dilaton', 'mass', 'for', 'which', 'the', 'dilaton', 'becomes', 'the', 'dark', 'matter', 'of', 'the', 'universe', 'with', 'this', 'we', 'calculate', 'the', 'dilaton', 'detection', 'power', 'in', 'the', 'resonant', 'cavity', 'and', 'compare', 'it', 'with', 'the', 'axion', 'detection', 'power', 'in', 'similar', 'resonant', 'cavity', 'experiment']] | [-0.1462360600711602, 0.14168683866130488, -0.09514866710254331, 0.09615243668100093, -0.1084957078735276, -0.12047983089848081, -0.027110721877628436, 0.31303354702526476, -0.1666982791545551, -0.3492185322386099, 0.00845457749333369, -0.2899110800609356, -0.04572459106779339, 0.14430513401038764, 0.05217517023088365, 0.024979113373996283, -0.06890988256782293, 0.08159270691798955, -0.011110398438531996, -0.1723963394051236, 0.35180739719965837, 0.10643347394766241, 0.2393443566269991, 0.05942911242998046, 0.11030053459221452, -0.03652708066581953, -0.030692799022512103, -0.08443975855210205, -0.12171326060653394, 0.05864341551347113, 0.15478430109995803, 0.09523663652788211, 0.1488686524070345, -0.4131637200849449, -0.1976680918483109, 0.16764283602739252, 0.14300207973162576, 0.14008570769546191, -0.12644359931241858, -0.32669777118759913, 0.0470968441719689, -0.1935025609847976, -0.09487310229096471, -0.03453805362067481, -0.02971346906908765, -0.05886743563261428, -0.25501483893476246, 0.09960624111089401, -0.07775117057125742, -0.1167981291712239, -0.12011872170629298, -0.009049565020221762, 0.0032757318794454744, -0.0377757459390545, 0.14476266220246056, 0.001082715521589285, 0.2590388485525803, -0.2495688517526837, -0.0650761083972345, 0.3914174459769572, -0.22029647343542155, -0.11636589765094402, 0.11205585014995006, -0.200706295135272, -0.11132686217201919, 0.11935909754006056, 0.1558873811509551, 0.09145351847145343, -0.11735847024474202, 0.14367164519087344, -0.0361413170296767, 0.22852985047530838, 0.09921083361955314, 0.04683155126347229, 0.36167835671363807, 0.16438388271348142, 0.027769092265970824, 0.15159704100068022, -0.10992094425473181, 0.003259836474615263, -0.3947431091900642, -0.12707415860282575, -0.1306416164606628, 0.016519840534140424, -0.14279453097146982, -0.15713758321433532, 0.3908052794669369, 0.14025711081922054, 0.15806980656528072, 0.030650249638356178, 0.3460863067700369, 0.1589314804594146, 0.041773345843866105, 0.07420142440738656, 0.4376955675642665, 0.18043952545423697, 0.12436697664443494, -0.3768034748471819, -0.10567279709162326, -0.024718452662388545] |
711.2859 | A new analysis technique to measure the W Production Charge Asymmetry at
the Tevatron | We propose an analysis technique to directly measure W production charge
asymmetry from W leptonic decay events at the Tevatron and show the feasibility
for new analysis method using Monte Carlo simulations.
| hep-ph | we propose an analysis technique to directly measure w production charge asymmetry from w leptonic decay events at the tevatron and show the feasibility for new analysis method using monte carlo simulations | [['we', 'propose', 'an', 'analysis', 'technique', 'to', 'directly', 'measure', 'w', 'production', 'charge', 'asymmetry', 'from', 'w', 'leptonic', 'decay', 'events', 'at', 'the', 'tevatron', 'and', 'show', 'the', 'feasibility', 'for', 'new', 'analysis', 'method', 'using', 'monte', 'carlo', 'simulations']] | [0.020077218367077876, 0.1176205845736149, -0.12574341414438095, 0.12195619361591525, -0.011596785596339032, -0.1293868010980077, 0.09405838022939861, 0.3832653630524874, -0.3119620104553178, -0.3222230265964754, 0.0071973209487623535, -0.3491515670611989, -0.0064145829528570175, 0.22340753246680833, 0.12679002387449145, 0.10267228330485523, 0.17766574694542214, -0.1294335379061522, -0.09521822507667821, -0.1498479385045357, 0.2504400589969009, 0.10466515261941822, 0.3147551573929377, 0.07842846742278198, 0.06409444884047844, 0.06441856405581348, -0.11065100420637464, -0.08968652332259808, -0.1940896477753995, 0.03716881753643975, 0.13583129477774492, 0.15997290494851768, 0.16878163757792208, -0.33071346092037857, -0.1092999879620038, 0.15349918315769173, 0.15347545882104896, 0.12494711397448555, -0.1517100780911278, -0.3222086736932397, 0.12777270784135908, -0.2388947972940514, -0.09662608028156683, -0.11380443291272968, -0.05733645404689014, -0.05993920010587317, -0.3637745687738061, 0.10044068594288547, -0.1317202780628577, 0.026922246477624867, 0.06097372933436418, -0.14274530002148822, -0.038968984692473896, -0.007710581903666025, 0.07918610417618765, 0.03735589901043568, 0.16463639280118514, -0.038455370493466035, -0.2734331446699798, 0.2625497207627632, -0.128919991053408, -0.19144375756150112, 0.16979451310180593, -0.20087683023302816, -0.16664770284842234, 0.18646512869599974, 0.25944732112111524, 0.14168076973874122, -0.21198889802326448, 0.06784241589593876, 0.024091285304166377, 0.15015461213624803, -0.04907830533920787, -0.015987809252692387, 0.18388559378217906, 0.24752606952097267, -0.024008755251998082, 0.12237437028670684, -0.1900388195645064, -0.020584152080118656, -0.41871973464731127, -0.18047777828178369, -0.15928799973335117, 0.060212666787265334, -0.04271584941261608, -0.0662759075712529, 0.3421440356760286, 0.2090230004687328, 0.18479619661229663, 0.033084139140555635, 0.3554308624006808, 0.10355541181343142, 0.016485109608765924, 0.04858476229128428, 0.22209028818906518, 0.15340797763201408, 0.13583202485460788, -0.29598867872118717, 0.07538649448542856, 0.10236469047958963] |
711.286 | "Partial" quantum cloning and quantum cloning of the mixed states | We discuss the "partial" quantum cloning of the pure two-partite states, when
the "part" of initial state related to the one qubit is copied only. The same
approach gives the possibility to design the quantum copying machine for the
mixed qubit states.
| quant-ph | we discuss the partial quantum cloning of the pure twopartite states when the part of initial state related to the one qubit is copied only the same approach gives the possibility to design the quantum copying machine for the mixed qubit states | [['we', 'discuss', 'the', 'partial', 'quantum', 'cloning', 'of', 'the', 'pure', 'twopartite', 'states', 'when', 'the', 'part', 'of', 'initial', 'state', 'related', 'to', 'the', 'one', 'qubit', 'is', 'copied', 'only', 'the', 'same', 'approach', 'gives', 'the', 'possibility', 'to', 'design', 'the', 'quantum', 'copying', 'machine', 'for', 'the', 'mixed', 'qubit', 'states']] | [-0.12415062582918576, 0.18782643000373528, -0.06290612079291827, 0.054000280933299415, -0.017822050578182654, -0.23552823279585158, 0.0846302476378956, 0.29443071135098026, -0.30709190968246686, -0.22203206403979234, 0.0692295428431992, -0.2633234485762105, -0.047105732773031504, 0.16085133351208197, -0.0638769688306465, 0.12579463564214252, 0.08773270367999517, 0.09292160042206801, -0.05721378996081296, -0.2915039121483763, 0.3764222139226539, -0.010269280905569238, 0.33473863378388896, 0.004547790579852604, 0.1088144763018049, 0.02654739739816813, 0.06936792897370954, -0.10030405702335494, -0.06744096401546683, 0.11278864768766132, 0.27948118258445037, 0.16717625429321611, 0.24977625265628808, -0.4272213624790311, -0.15897459182001294, 0.07791617386309165, 0.045550033827090546, 0.2765560446617504, 0.013496983663312026, -0.34557665112827507, 0.057028865292003114, -0.17772658648235456, -0.10374513876047872, -0.08303820696615037, -0.012358425151822823, -0.11991690520551943, -0.19418188397373473, 0.051750408130742255, 0.10175848786076087, -0.04298644955824351, -0.03264254644247038, -0.10115818931011572, -0.008455681126742135, 0.16150227750975837, -0.06441188531018616, -0.0001474773245198386, 0.1493224817261632, -0.17991756973788142, -0.22135970271414235, 0.3243281403112979, 0.0003691160984869514, -0.21432902841340928, 0.1608583549303668, -0.08276288180301587, -0.09509339538358506, 0.03427524274281625, 0.08670675940811634, 0.07699170605545598, -0.0753866154440662, 0.0467172174803203, -0.0035450964877825407, 0.21406831210922628, 0.03029480560438796, 0.10100877165262188, 0.1597186970923628, 0.0798272772947149, 0.10253775409156722, 0.2604250732277121, -0.07257754131708116, -0.20457676507621295, -0.3493040702527478, -0.22602509101852775, -0.21757534997249467, 0.12258184863077033, -0.0013017299719476363, -0.15218239792046093, 0.4515631317737557, 0.11290110496892816, 0.14070975980056183, -0.015739186289941982, 0.2859202516930444, 0.11917736022067922, 0.050877269446140246, 0.07327433858465936, 0.23740789897385098, 0.16045272456748144, 0.07952881001290821, -0.3017830278147899, 0.09650364981609441, 0.0022818871019851593] |
711.2861 | Filter Out High Frequency Noise in EEG Data Using The Method of Maximum
Entropy | We propose a maximum entropy (ME) based approach to smooth noise not only in
data but also to noise amplified by second order derivative calculation of the
data especially for electroencephalography (EEG) studies. The approach includes
two steps, applying method of ME to generate a family of filters and minimizing
noise variance after applying these filters on data selects the preferred one
within the family. We examine performance of the ME filter through frequency
and noise variance analysis and compare it with other well known filters
developed in the EEG studies. The results show the ME filters to outperform
others. Although we only demonstrate a filter design especially for second
order derivative of EEG data, these studies still shed an informatic approach
of systematically designing a filter for specific purposes.
| q-bio.QM q-bio.NC | we propose a maximum entropy me based approach to smooth noise not only in data but also to noise amplified by second order derivative calculation of the data especially for electroencephalography eeg studies the approach includes two steps applying method of me to generate a family of filters and minimizing noise variance after applying these filters on data selects the preferred one within the family we examine performance of the me filter through frequency and noise variance analysis and compare it with other well known filters developed in the eeg studies the results show the me filters to outperform others although we only demonstrate a filter design especially for second order derivative of eeg data these studies still shed an informatic approach of systematically designing a filter for specific purposes | [['we', 'propose', 'a', 'maximum', 'entropy', 'me', 'based', 'approach', 'to', 'smooth', 'noise', 'not', 'only', 'in', 'data', 'but', 'also', 'to', 'noise', 'amplified', 'by', 'second', 'order', 'derivative', 'calculation', 'of', 'the', 'data', 'especially', 'for', 'electroencephalography', 'eeg', 'studies', 'the', 'approach', 'includes', 'two', 'steps', 'applying', 'method', 'of', 'me', 'to', 'generate', 'a', 'family', 'of', 'filters', 'and', 'minimizing', 'noise', 'variance', 'after', 'applying', 'these', 'filters', 'on', 'data', 'selects', 'the', 'preferred', 'one', 'within', 'the', 'family', 'we', 'examine', 'performance', 'of', 'the', 'me', 'filter', 'through', 'frequency', 'and', 'noise', 'variance', 'analysis', 'and', 'compare', 'it', 'with', 'other', 'well', 'known', 'filters', 'developed', 'in', 'the', 'eeg', 'studies', 'the', 'results', 'show', 'the', 'me', 'filters', 'to', 'outperform', 'others', 'although', 'we', 'only', 'demonstrate', 'a', 'filter', 'design', 'especially', 'for', 'second', 'order', 'derivative', 'of', 'eeg', 'data', 'these', 'studies', 'still', 'shed', 'an', 'informatic', 'approach', 'of', 'systematically', 'designing', 'a', 'filter', 'for', 'specific', 'purposes']] | [-0.06550177010313536, 0.012229788569451417, -0.0885485298340567, 0.054166937006924015, -0.10950231327890203, -0.183021293917241, 0.05290637357841031, 0.4335143165376324, -0.23331642917429024, -0.3124892783136322, 0.14303822730345508, -0.28208466271081795, -0.19629133792074685, 0.23070680265529797, -0.09252535640441167, 0.043648203612806705, 0.06618525535584642, 0.04699214576528622, -0.05912234992899287, -0.25779905281960963, 0.2572956474068073, 0.048098265293699045, 0.3252265200162163, -0.042001158649173496, 0.11630968998472851, 0.007507460961978023, -0.0993963378553207, 0.01779463672114966, -0.09750293167666174, 0.11999088124810861, 0.26499622909065623, 0.11547688037210789, 0.32452076822519305, -0.37623866865984523, -0.2286367375546923, 0.08350614321221096, 0.07467243737415769, 0.12444372661411762, -0.04996830072128572, -0.29778969704818264, 0.09018404192577761, -0.12624226218232742, -0.05678532175549592, -0.13654194441265785, -0.038999967323616144, 0.013930551001640897, -0.31846154504545177, 0.07589119486309266, 0.0641569327786923, 0.04520639979208891, -0.02649803062220319, -0.16303594711666497, 0.014724731192780801, 0.1048943240267153, 0.06729301108190647, -0.03297792173778782, 0.1270081553214158, -0.10956162424722257, -0.10895319553808525, 0.31111024671431203, -0.08965289260869702, -0.20700701536037602, 0.1437188811116637, -0.12227643677033484, -0.1275448050851432, 0.10781763212432383, 0.19434801584217123, 0.11408571074358546, -0.18743452075958394, -6.189314209712813e-05, 0.07472868024980506, 0.20564907918361805, 0.04504669419346521, 0.031428005777371044, 0.12136001974666634, 0.18031183190894529, 0.051233485326744044, 0.15349386768066325, -0.14425612860896553, -0.0431649625990898, -0.2539166336592573, -0.12348825516035923, -0.2238341806886288, -0.03251113452167304, -0.06324914548727414, -0.14073675286311368, 0.4325726167800335, 0.23929488497546678, 0.17428225873468015, 0.039654058760229066, 0.3235035521766314, 0.10712870986272509, 0.09363920574004833, 0.057126839543119645, 0.21637574763825307, 0.09644658101471858, 0.09826056241648845, -0.20085568047495775, 0.03576490104628297, 0.014237799004723247] |
711.2862 | Finiteness theorem on Blow-semialgebraic triviality for a family of
3-dimensional algebraic sets | In this paper we introduce the notion of Blow-semialgebraic triviality
consistent with a compatible filtration for an algebraic family of algebraic
sets, as an equisingularity for real algebraic singularities. Given an
algebraic family of 3-dimensional algebraic sets defined over a nonsingular
algebraic variety, we show that there is a finite subdivision of the parameter
algebraic set into connected Nash manifolds over which the family admits a
Blow-semialgebraic trivialisation consistent with a compatible filtration. We
show a similar result on finiteness also for a Nash family of 3-dimensional
Nash sets through the Artin-Mazur theorem. As a corollary of the arguments in
their proofs, we have a finiteness theorem on semialgebraic types of polynomial
mappings from the 2-dimensional Euclidean space to the p-diemnsional Euclidean
space.
| math.AG | in this paper we introduce the notion of blowsemialgebraic triviality consistent with a compatible filtration for an algebraic family of algebraic sets as an equisingularity for real algebraic singularities given an algebraic family of 3dimensional algebraic sets defined over a nonsingular algebraic variety we show that there is a finite subdivision of the parameter algebraic set into connected nash manifolds over which the family admits a blowsemialgebraic trivialisation consistent with a compatible filtration we show a similar result on finiteness also for a nash family of 3dimensional nash sets through the artinmazur theorem as a corollary of the arguments in their proofs we have a finiteness theorem on semialgebraic types of polynomial mappings from the 2dimensional euclidean space to the pdiemnsional euclidean space | [['in', 'this', 'paper', 'we', 'introduce', 'the', 'notion', 'of', 'blowsemialgebraic', 'triviality', 'consistent', 'with', 'a', 'compatible', 'filtration', 'for', 'an', 'algebraic', 'family', 'of', 'algebraic', 'sets', 'as', 'an', 'equisingularity', 'for', 'real', 'algebraic', 'singularities', 'given', 'an', 'algebraic', 'family', 'of', '3dimensional', 'algebraic', 'sets', 'defined', 'over', 'a', 'nonsingular', 'algebraic', 'variety', 'we', 'show', 'that', 'there', 'is', 'a', 'finite', 'subdivision', 'of', 'the', 'parameter', 'algebraic', 'set', 'into', 'connected', 'nash', 'manifolds', 'over', 'which', 'the', 'family', 'admits', 'a', 'blowsemialgebraic', 'trivialisation', 'consistent', 'with', 'a', 'compatible', 'filtration', 'we', 'show', 'a', 'similar', 'result', 'on', 'finiteness', 'also', 'for', 'a', 'nash', 'family', 'of', '3dimensional', 'nash', 'sets', 'through', 'the', 'artinmazur', 'theorem', 'as', 'a', 'corollary', 'of', 'the', 'arguments', 'in', 'their', 'proofs', 'we', 'have', 'a', 'finiteness', 'theorem', 'on', 'semialgebraic', 'types', 'of', 'polynomial', 'mappings', 'from', 'the', '2dimensional', 'euclidean', 'space', 'to', 'the', 'pdiemnsional', 'euclidean', 'space']] | [-0.17810423168266426, 0.002697025665717471, -0.14608548167161645, 0.08600697283012172, -0.099174017412588, -0.08337429541085536, 0.032196385080654484, 0.30530891989668213, -0.32894920740897454, -0.1691775227508818, 0.09765897029428743, -0.24507489156288406, -0.16652096476173028, 0.24815628363285214, -0.17370486047584563, 0.015353700782482823, 0.03591049114863078, 0.06989802811682845, -0.09939688438607845, -0.27304745408667563, 0.4709091006157299, -0.08813719095972677, 0.21079934143926948, 0.04501187261970093, 0.17880932627401006, -0.0019041420465024808, -0.0066641449268596865, 0.08770547317059633, -0.2001086116402803, 0.12282971260913958, 0.3078336108631144, 0.1351076041115448, 0.21413909709081053, -0.3609631970059127, -0.15652110582062354, 0.23167119686258958, 0.1300772917980794, 0.037552468848298305, -0.03416988833535773, -0.2594425871192167, 0.12316600051708519, -0.16181466466126343, -0.19427397525287232, -0.0985812659142539, 0.010216225838909547, -0.0005798914624998967, -0.24396701119064043, -0.06745053423631665, 0.11837740602592627, 0.1776433885563165, -0.08187438324627389, -0.06126868457552822, -0.0444970590993762, 0.005812080379109829, -0.04029024050784453, 0.0534447927842848, 0.04338969018232698, -0.03186800983385183, -0.1571130175376311, 0.3578160007969321, -0.05342797142608712, -0.25148396187772354, 0.15341406216224035, -0.09360950488674764, -0.19119046764196052, 0.13190049427115202, 0.10241573843328904, 0.15851680274160268, -0.040706661778191724, 0.20467107670847326, -0.18345122057168434, 0.05613035194692202, 0.10077911229648938, 0.03806756101160621, 0.13579408839577808, 0.10771864123332003, 0.14594390624163983, 0.1542828220059164, 0.06749250771244988, -0.116951263595062, -0.388562272892644, -0.17946790093944098, -0.14098396468131494, 0.1738158096326515, -0.18725868424323078, -0.26988621074706315, 0.40201813826182237, 0.007953919866122306, 0.1843779040966183, 0.1833825395529857, 0.22808127740087608, 0.051497499556595966, 0.01197096219402738, 0.06343731941112006, 0.10970523444702848, 0.1775973744224757, -0.02981692931886452, -0.10356380071995469, 0.02596143538830802, 0.1845671829340669] |
711.2863 | A residue criterion for strong holomorphicity | We give a local criterion in terms of a residue current for strong
holomorphicity of a meromorphic function on an arbitrary pure-dimensional
analytic variety. This generalizes a result by A Tsikh for the case of a
reduced complete intersection.
| math.CV | we give a local criterion in terms of a residue current for strong holomorphicity of a meromorphic function on an arbitrary puredimensional analytic variety this generalizes a result by a tsikh for the case of a reduced complete intersection | [['we', 'give', 'a', 'local', 'criterion', 'in', 'terms', 'of', 'a', 'residue', 'current', 'for', 'strong', 'holomorphicity', 'of', 'a', 'meromorphic', 'function', 'on', 'an', 'arbitrary', 'puredimensional', 'analytic', 'variety', 'this', 'generalizes', 'a', 'result', 'by', 'a', 'tsikh', 'for', 'the', 'case', 'of', 'a', 'reduced', 'complete', 'intersection']] | [-0.21058719889380229, -0.021999777255517144, -0.11145426738911714, 0.09830024430993944, -0.049118397470850214, -0.06255122405500749, 0.049974573035843864, 0.23994889960457116, -0.23453437378152442, -0.19013316934116375, 0.06383473487893263, -0.16690899259769, -0.16348409566741723, 0.24247656356638822, -0.09402481428323647, 0.0009191994292613787, 0.03714490453832042, 0.0826404753069465, -0.11988959079369521, -0.25548629803606904, 0.36907156365804183, -0.03788872909708283, 0.21432782413485724, 0.13023450058431196, 0.12077324297738065, 0.10619957022703229, -0.0011557407008531766, 0.05199471645009441, -0.16418184160899657, 0.1481372898635574, 0.2624533124363575, 0.091567073100939, 0.24795966671827513, -0.38253580511380464, -0.1955114478030457, 0.15783038638675442, 0.09803617469823131, 0.09483321502995797, -0.0386514796439606, -0.22862662428703445, 0.13866539796193442, -0.20206094036499658, -0.19560853846801016, -0.06547410395712806, 0.0411143343991194, 0.037721554247232586, -0.3510591662369477, 0.026044900576846722, 0.13044805294619158, 0.14678580177804598, -0.07821701538080397, -0.06400139967743786, 0.011974320149956605, 0.03718360606580973, -0.05548176202827539, 0.11396438412320538, 0.05507171928930359, -0.1546941932517653, -0.10316622567673524, 0.30974295334174085, -0.11328692502604845, -0.27591763585447693, 0.15292454709131748, -0.1028528306275033, -0.11038192944266857, 0.13386183351469347, 0.12610488401678127, 0.1970114775766165, -0.09157507835576932, 0.1745745652140333, -0.14162975021948418, 0.07042356164982685, 0.06917183079685156, -0.011278208536215318, 0.1639906887251597, 0.09600471560723889, 0.14875682013539168, 0.19559345938838446, 0.04766860850847875, -0.0359994964972616, -0.38762822336493397, -0.20516992510797885, -0.1372031135341296, 0.15415515946463132, -0.1311824924718493, -0.23200765643746424, 0.4706434650370517, 0.00556393784399216, 0.26688318748104695, 0.12210570223247394, 0.25981428569708115, 0.1400302520308357, 0.028152590330976706, -0.022037927670261033, 0.13447669055312872, 0.16931353049734846, 0.009785446207015177, -0.14953809453604314, 0.046451391688046545, 0.1564370945143776] |
711.2864 | Highly sensitive refractometer with photonic crystal fiber long-period
grating | We present highly sensitive refractometers based on a long-period grating in
a large mode area PCF. The maximum sensitivity is 1500 nm/RIU at a refractive
index of 1.33, the highest reported for any fiber grating. The minimal
detectable index change is $2\times 10^{-5}$. The high sensitivity is obtained
by infiltrating the sample into the holes of the photonic crystal fiber to give
a strong interaction between the sample and the probing field.
| physics.optics | we present highly sensitive refractometers based on a longperiod grating in a large mode area pcf the maximum sensitivity is 1500 nmriu at a refractive index of 133 the highest reported for any fiber grating the minimal detectable index change is 2times 105 the high sensitivity is obtained by infiltrating the sample into the holes of the photonic crystal fiber to give a strong interaction between the sample and the probing field | [['we', 'present', 'highly', 'sensitive', 'refractometers', 'based', 'on', 'a', 'longperiod', 'grating', 'in', 'a', 'large', 'mode', 'area', 'pcf', 'the', 'maximum', 'sensitivity', 'is', '1500', 'nmriu', 'at', 'a', 'refractive', 'index', 'of', '133', 'the', 'highest', 'reported', 'for', 'any', 'fiber', 'grating', 'the', 'minimal', 'detectable', 'index', 'change', 'is', '2times', '105', 'the', 'high', 'sensitivity', 'is', 'obtained', 'by', 'infiltrating', 'the', 'sample', 'into', 'the', 'holes', 'of', 'the', 'photonic', 'crystal', 'fiber', 'to', 'give', 'a', 'strong', 'interaction', 'between', 'the', 'sample', 'and', 'the', 'probing', 'field']] | [-0.16342938362791296, 0.17195766630359519, -0.03781353606855575, -0.008341531146278369, -0.064927892260988, -0.11618014131213578, 0.06436816366179518, 0.4079543337239031, -0.16848541636177353, -0.3566070413610465, 0.10909008953398959, -0.3020949571485251, -0.063536107458148, 0.2164261274197152, -0.01505252043388679, 0.01984400777015048, 0.010340986983247206, -0.0014689513350981222, -0.02833125188054753, -0.15150336478836834, 0.2397632071827079, 0.09347999406057003, 0.3194205826541907, 0.05011844068181924, 0.11469338726724537, 0.027386149581731627, -0.002763939654113541, 0.012018275132376544, -0.15847372106591265, 0.13053986317360064, 0.20770458749931595, 0.022628848749199803, 0.23194969131965454, -0.3300121634611188, -0.18695736046828015, 0.07459342107176781, 0.09175291468395891, 0.05196466691739542, -0.06480894801305266, -0.24043160023718652, 0.10511044493194302, -0.14195747007156762, -0.16409559699405038, 0.022421576030237575, 0.029105350698187003, -0.016859799190621142, -0.2368184764620284, 0.03547668452768154, -0.01200088387696256, 0.08219333105838635, -0.022145836299259057, -0.07190020054145912, -0.020986577066343645, 0.017569745346431583, -0.039852897882540254, 0.015278704018450119, 0.1449504416554012, -0.09982837662494308, -0.03428139967817656, 0.3893717238286012, -0.12463095600305422, -0.09205063445572283, 0.1304761463100694, -0.21406593519381026, -0.04479058968349242, 0.24151219768633306, 0.1749553915955992, 0.10370355671350386, -0.07615591169820285, 0.010008491043650716, -0.0017493767467078188, 0.29531633245273375, 0.09769815542328526, 0.08215629077241035, 0.23347508188494495, 0.2057475261914898, 0.06479592730199367, 0.15856167057555326, -0.18007029483134163, 0.051923965917191874, -0.2591537092877945, -0.16774732576237178, -0.20506711094927135, 0.05137386366488858, -0.20157084784541823, -0.14311591215746503, 0.41754296536780366, 0.0512546823543667, 0.19289200540474602, 0.016921391081012472, 0.245548987252284, 0.11223356665417873, 0.11030116211622953, 0.011828067364879477, 0.3575301181826688, 0.16702254229671204, 0.09669158280446706, -0.19866651854753284, 0.007583808658880667, -0.02533219638608501] |
711.2865 | Concurrence and a proper monogamy inequality for arbitrary quantum
states | We obtain an analytical lower bound of entanglement quantified by concurrence
for arbitrary bipartite quantum states. It is shown that our bound is tight for
some mixed states and is complementary to the previous known lower bounds. On
the other hand, it is known that the entanglement monogamy inequality proposed
by Coffman, Kundu, and Wootters is in general not true for higher dimensional
quantum states. Inducing from the new lower bound of concurrence, we find a
proper form of entanglement monogamy inequality for arbitrary quantum states.
| quant-ph | we obtain an analytical lower bound of entanglement quantified by concurrence for arbitrary bipartite quantum states it is shown that our bound is tight for some mixed states and is complementary to the previous known lower bounds on the other hand it is known that the entanglement monogamy inequality proposed by coffman kundu and wootters is in general not true for higher dimensional quantum states inducing from the new lower bound of concurrence we find a proper form of entanglement monogamy inequality for arbitrary quantum states | [['we', 'obtain', 'an', 'analytical', 'lower', 'bound', 'of', 'entanglement', 'quantified', 'by', 'concurrence', 'for', 'arbitrary', 'bipartite', 'quantum', 'states', 'it', 'is', 'shown', 'that', 'our', 'bound', 'is', 'tight', 'for', 'some', 'mixed', 'states', 'and', 'is', 'complementary', 'to', 'the', 'previous', 'known', 'lower', 'bounds', 'on', 'the', 'other', 'hand', 'it', 'is', 'known', 'that', 'the', 'entanglement', 'monogamy', 'inequality', 'proposed', 'by', 'coffman', 'kundu', 'and', 'wootters', 'is', 'in', 'general', 'not', 'true', 'for', 'higher', 'dimensional', 'quantum', 'states', 'inducing', 'from', 'the', 'new', 'lower', 'bound', 'of', 'concurrence', 'we', 'find', 'a', 'proper', 'form', 'of', 'entanglement', 'monogamy', 'inequality', 'for', 'arbitrary', 'quantum', 'states']] | [-0.120396799904695, 0.21145226643843776, -0.10217476542226883, 0.13130884867860004, -0.0003170432891090249, -0.2630537832318264, 0.057077114546108386, 0.2742348514757184, -0.1784558784498205, -0.29543524172676855, 0.04680646760362135, -0.26899962376283354, -0.1397777909607908, 0.2577213017232066, -0.06520249860274584, 0.1243866377856669, 0.020113718649913924, 0.09211805404358825, -0.05060698787226926, -0.300510648702986, 0.3189038975640785, 0.02412405201954074, 0.31402438476161904, 0.1641912470615014, 0.0508674509487613, -0.02474968331367817, 0.09051545348213336, 0.0025650205328887287, -0.19946603072610233, 0.15768279200203197, 0.23589010281098444, 0.19240024547785695, 0.1984327473071252, -0.3695460019611515, -0.18734821470367702, 0.11628114967471595, 0.10000792283261585, 0.1799688332735799, -0.029172286354709243, -0.35838451030729124, 0.01693356169257746, -0.1707370799727911, -0.0890786407818628, -0.1102860214318647, 0.06334852686065227, -0.09793645879903505, -0.28668217019307923, 0.17177182435447913, 0.12436552295937787, 0.00902620873543932, -0.04832733505903635, -0.10413785293822848, -0.017969605142012412, 0.09404678447821806, -0.09508452605900117, 0.012935110779349194, 0.02466687198923251, -0.09643364666399701, -0.17571984487044257, 0.25325972274985425, -0.04679203345332035, -0.23259464859269385, 0.15667112472028535, -0.1421407941880441, -0.15069270499326765, 0.008296254859847385, 0.0766747506744185, 0.13408789843818997, -0.11075614092784912, 0.06837089353127318, -0.1219803474648574, 0.15542615143322322, 0.08973538129574207, 0.17493876234186964, 0.0859246963830015, 0.001904242000607557, 0.20414994843304157, 0.2725861923949154, 0.008581492067098098, -0.14109016481657013, -0.2959371539006053, -0.23370478758629043, -0.31082244157834454, 0.0922367143105285, -0.11946075943503041, -0.0861644984306199, 0.329172205621225, 0.05345261231982582, 0.11683307522041507, 0.11320319681341738, 0.26176500657226803, 0.18251629552376175, 0.03869823305759319, 0.1321500939327877, 0.2945879006093005, 0.17752437102391797, -0.036904856091538485, -0.21575074237067426, 0.12529611737510665, 0.0873136491633865] |
711.2866 | X-Ray Observations of the Galactic Center with Suzaku | We report on the diffuse X-ray emissions from the Galactic center (GCDX)
observed with the X-ray Imaging Spectrometer (XIS) on board the Suzaku
satellite. The highly accurate energy calibrations and extremely low background
of the XIS provide many new facts on the GCDX. These are (1) the origin of the
6.7/7.0keV lines is collisional excitation in hot plasma, (2) new SNR and
super-bubble candidates are found, (3) most of the 6.4keV line is fluorescence
by X-rays, and (4) time variability of the 6.4keV line is found from the SgrB2
complex.
| astro-ph | we report on the diffuse xray emissions from the galactic center gcdx observed with the xray imaging spectrometer xis on board the suzaku satellite the highly accurate energy calibrations and extremely low background of the xis provide many new facts on the gcdx these are 1 the origin of the 6770kev lines is collisional excitation in hot plasma 2 new snr and superbubble candidates are found 3 most of the 64kev line is fluorescence by xrays and 4 time variability of the 64kev line is found from the sgrb2 complex | [['we', 'report', 'on', 'the', 'diffuse', 'xray', 'emissions', 'from', 'the', 'galactic', 'center', 'gcdx', 'observed', 'with', 'the', 'xray', 'imaging', 'spectrometer', 'xis', 'on', 'board', 'the', 'suzaku', 'satellite', 'the', 'highly', 'accurate', 'energy', 'calibrations', 'and', 'extremely', 'low', 'background', 'of', 'the', 'xis', 'provide', 'many', 'new', 'facts', 'on', 'the', 'gcdx', 'these', 'are', '1', 'the', 'origin', 'of', 'the', '6770kev', 'lines', 'is', 'collisional', 'excitation', 'in', 'hot', 'plasma', '2', 'new', 'snr', 'and', 'superbubble', 'candidates', 'are', 'found', '3', 'most', 'of', 'the', '64kev', 'line', 'is', 'fluorescence', 'by', 'xrays', 'and', '4', 'time', 'variability', 'of', 'the', '64kev', 'line', 'is', 'found', 'from', 'the', 'sgrb2', 'complex']] | [-0.05326724592648614, 0.11469130668517076, -0.026413292273502337, 0.10864376686277977, -0.06881062175000735, -0.08115001861006021, 0.002507008507512928, 0.4878787184029483, -0.16678821993076107, -0.34132031359699333, 0.0940781431625796, -0.38155488205257426, -0.008058447024544304, 0.24051727837715509, 0.015722924717858935, -0.04828417608174338, 0.036730871784364745, -0.08097781553005098, 0.03286119909391979, -0.18397597253866746, 0.2793697795903917, 0.12723630468957545, 0.19650539979626414, 0.05846100649534819, 0.05232526683196258, -0.08073423586503257, -0.09553507045748529, -0.05039641533172532, -0.053167816966195235, 0.09849439646127854, 0.22562908693059777, 0.12959797602157327, 0.14549556336878391, -0.3795671066625065, -0.2342594630723254, 0.02122620946539336, 0.16610444859298093, -0.0710220711431309, -0.03757782962586563, -0.2754474914674595, 0.0141187709667249, -0.1014352986233288, -0.14447119613858253, 0.07652163697312471, 0.01049578773757715, 0.05681921180672525, -0.15065241335064508, 0.08495139561624926, -0.025274096841641357, 0.10231717702085047, -0.16640065563581047, -0.10548340819587701, -0.0012325476645753625, 0.043164749703045645, 0.029810477762347024, 0.03512255213317576, 0.19493741707960038, -0.12843515587907828, -0.0571072974943378, 0.38181352028570903, -0.01955430606233605, 0.05031755332196696, 0.2332026194990351, -0.25669598306288544, -0.19759255103646578, 0.3040297169740615, 0.07665525923033109, 0.11470488644089927, -0.1379164160135087, 0.057089080731580664, -0.06910709748986398, 0.25972531453361003, 0.02833672886285303, 0.05574854377793211, 0.2712628897907359, 0.09927048484187866, 0.034414799035699474, 0.12071141090801278, -0.33276025378773133, 0.030627060200223762, -0.2371752730759091, -0.0873521791097088, -0.13147858883976266, 0.07889899234496726, -0.09142493506258463, -0.13226904632167868, 0.35799913447392123, 0.09244023238340121, 0.21597868703263864, -0.04393141031568724, 0.35223987020468445, 0.10977275017648935, 0.02574698847268572, 0.10968711505005702, 0.3063010563079812, 0.15242090649913284, 0.1437988475467382, -0.23123790362452187, 0.049926246898353434, -0.017879960859675754] |
711.2867 | Maximizing PageRank via outlinks | We analyze linkage strategies for a set I of webpages for which the webmaster
wants to maximize the sum of Google's PageRank scores. The webmaster can only
choose the hyperlinks starting from the webpages of I and has no control on the
hyperlinks from other webpages. We provide an optimal linkage strategy under
some reasonable assumptions.
| cs.IR math.RA | we analyze linkage strategies for a set i of webpages for which the webmaster wants to maximize the sum of googles pagerank scores the webmaster can only choose the hyperlinks starting from the webpages of i and has no control on the hyperlinks from other webpages we provide an optimal linkage strategy under some reasonable assumptions | [['we', 'analyze', 'linkage', 'strategies', 'for', 'a', 'set', 'i', 'of', 'webpages', 'for', 'which', 'the', 'webmaster', 'wants', 'to', 'maximize', 'the', 'sum', 'of', 'googles', 'pagerank', 'scores', 'the', 'webmaster', 'can', 'only', 'choose', 'the', 'hyperlinks', 'starting', 'from', 'the', 'webpages', 'of', 'i', 'and', 'has', 'no', 'control', 'on', 'the', 'hyperlinks', 'from', 'other', 'webpages', 'we', 'provide', 'an', 'optimal', 'linkage', 'strategy', 'under', 'some', 'reasonable', 'assumptions']] | [-0.08861763201587435, -0.013331668740128018, -0.08483680977951735, 0.09068010908751083, -0.15347695496997663, -0.1963662959751673, 0.18494455228626197, 0.42938143686790553, -0.2956879900302738, -0.278508036430659, 0.09146555321058258, -0.3955014499120547, -0.10680982100893743, 0.14689316397665866, -0.08939355978509411, -0.00019205392787366042, 0.051647968107967505, 0.16438158471438719, 0.006262068345677108, -0.3128121446019837, 0.32495241407637615, 0.041130019106536304, 0.31212388038901345, 0.04665047985846676, 0.10885113793691355, 0.024730698579722748, -0.049903120463048775, 0.025368905692760433, -0.17112957208883017, 0.14356887385448708, 0.27652385531525525, 0.29237380450026, 0.3049672699666449, -0.39262054073956926, -0.08765689301903226, 0.11100855263482247, 0.07876612937044618, 0.12848440513854648, 0.0028365412456748474, -0.2709084306178348, 0.11612369335489348, -0.16759972320869565, 0.0025157739125591305, -0.06371381323385451, 0.013949803010161434, 0.07479112516323637, -0.3046161940687203, -0.08642448777598995, -0.018621472608564154, 0.06228234482529972, -0.03154868855822964, -0.1518056959196526, -0.01980882545051697, 0.24212325204695975, 0.06002470879216811, -0.011667228229011275, 0.16438845220753656, -0.140813815058209, -0.1869951603834384, 0.4244990942201444, -0.012375124983788868, -0.18192295277757303, 0.15194943255378998, -0.022523561151631708, -0.144902263718125, 0.07060985376925341, 0.1717504377343825, 0.10145543928125075, -0.19031645087358942, -0.02357879186352615, -0.10509148680804563, 0.1634011431347712, 0.0820135581806036, 0.0022339177812682465, 0.17753798561170697, 0.13324212467497482, 0.1411448626978589, 0.1205779908684365, -0.0568752650994741, -0.06954202029321875, -0.2552717229617493, -0.1636320562767131, -0.19416361386954253, 0.044305518618784845, -0.17337207353947243, -0.14312459240734046, 0.42695457082507865, 0.20508503291057423, 0.14987221706957957, 0.06406544909155595, 0.23601632916168974, 0.018496162996338432, 0.04132125218997577, 0.13864015638163046, 0.1520464740445147, -0.028576276372145264, 0.11443322009706337, -0.12488337707639273, 0.14967839282637993, 0.038253365616713254] |
711.2868 | Weighted Sobolev L2 estimates for a class of Fourier integral operators | In this paper we develop elements of the global calculus of Fourier integral
operators in $R^n$ under minimal decay assumptions on phases and amplitudes. We
also establish global weighted Sobolev $L^2$ estimates for a class of Fourier
integral operators that appears in the analysis of global smoothing problems
for dispersive partial differential equations. As an application, we exhibit a
new type of smoothing estimates for hyperbolic equations, where the decay of
data in space is quantitatively translated into the time decay of solutions.
| math.AP math.FA | in this paper we develop elements of the global calculus of fourier integral operators in rn under minimal decay assumptions on phases and amplitudes we also establish global weighted sobolev l2 estimates for a class of fourier integral operators that appears in the analysis of global smoothing problems for dispersive partial differential equations as an application we exhibit a new type of smoothing estimates for hyperbolic equations where the decay of data in space is quantitatively translated into the time decay of solutions | [['in', 'this', 'paper', 'we', 'develop', 'elements', 'of', 'the', 'global', 'calculus', 'of', 'fourier', 'integral', 'operators', 'in', 'rn', 'under', 'minimal', 'decay', 'assumptions', 'on', 'phases', 'and', 'amplitudes', 'we', 'also', 'establish', 'global', 'weighted', 'sobolev', 'l2', 'estimates', 'for', 'a', 'class', 'of', 'fourier', 'integral', 'operators', 'that', 'appears', 'in', 'the', 'analysis', 'of', 'global', 'smoothing', 'problems', 'for', 'dispersive', 'partial', 'differential', 'equations', 'as', 'an', 'application', 'we', 'exhibit', 'a', 'new', 'type', 'of', 'smoothing', 'estimates', 'for', 'hyperbolic', 'equations', 'where', 'the', 'decay', 'of', 'data', 'in', 'space', 'is', 'quantitatively', 'translated', 'into', 'the', 'time', 'decay', 'of', 'solutions']] | [-0.11992516485323389, 0.053500798599779076, -0.11704196327601571, 0.1275745219809104, -0.07680353831993528, -0.0724278594961906, 0.0003663807874545455, 0.3019360026782266, -0.3213021267788956, -0.19513125447219754, 0.1727886336002813, -0.28212866672954284, -0.12126295151839774, 0.22395320070615735, -0.07131093079560852, 0.09659276341637933, 0.05523068344512259, 0.025479882893837, -0.14517646201280315, -0.19942417249352817, 0.3947626264619989, -0.07495388871687184, 0.20498573809233775, -0.004373662412890334, 0.09627954995242811, 0.008283906773361096, -0.07102132570671749, -0.02631093318755065, -0.2029168801414619, 0.13690165150069059, 0.2248979992266879, 0.08173260051779539, 0.2518576554903559, -0.45953950149018363, -0.1792648627972567, 0.13754054446738348, 0.18844367136213794, 0.03385359276624688, -0.05358862069699105, -0.305016987363763, 0.06455450070214021, -0.07100430787372661, -0.16658240737371058, -0.1272185424488972, 0.028584227633539093, 0.05464794927736722, -0.3591699951878154, 0.11465112846141333, 0.08133152515504015, 0.05028439537027335, -0.16197403610111719, -0.0645257057173245, 0.03356588871992496, 0.05963768878480397, 0.0661455429220819, -0.025570180839354015, 0.02871246265067932, -0.09476301241778286, -0.09910845992727632, 0.3171668181235128, -0.1432956859682608, -0.2677429275789175, 0.08642566683758275, -0.1573596043732783, -0.1701491371986557, 0.1290052997688931, 0.21034577136006521, 0.1451295574436929, -0.15612423618559737, 0.15764371634402077, -0.04380428304065423, 0.14333540772323508, 0.05870802333600909, 0.09514214966378837, 0.037938901293372, 0.1501565576441227, 0.16050280460033073, 0.10891999179744218, -0.060490190207885285, -0.08359891990850489, -0.3956481292394988, -0.19875120015882225, -0.11528955885287688, 0.05432865346910948, -0.13451125836213743, -0.20699719871472883, 0.40628792914977097, 0.06873937122136668, 0.16198975389755993, 0.08777654522760625, 0.224462195838162, 0.19710847551033955, 0.0669005085456084, 0.049275276481162714, 0.1858042614500835, 0.15710608813777027, 0.1389578282889203, -0.1941450585454074, 0.017544601948550308, 0.19311383282429123] |
711.2869 | Monotone unitary families | A unitary family is a family of unitary operators $U(x)$ acting on a finite
dimensional hermitian vector space, depending analytically on a real parameter
$x$. It is monotone if $\frac1i U'(x)U(x)^{-1}$ is a positive operator for each
$x$. We prove a number of results generalizing standard theorems on the
spectral theory of a single unitary operator $U_0$, which correspond to the
'commutative' case $U(x)=e^{ix}U_0$. Also, for a two-parameter unitary family
-- for which there is no analytic perturbation theory -- we prove an implicit
function type theorem for the spectral data under the assumption that the
family is monotone in one argument.
| math.FA math.SP | a unitary family is a family of unitary operators ux acting on a finite dimensional hermitian vector space depending analytically on a real parameter x it is monotone if frac1i uxux1 is a positive operator for each x we prove a number of results generalizing standard theorems on the spectral theory of a single unitary operator u_0 which correspond to the commutative case uxeixu_0 also for a twoparameter unitary family for which there is no analytic perturbation theory we prove an implicit function type theorem for the spectral data under the assumption that the family is monotone in one argument | [['a', 'unitary', 'family', 'is', 'a', 'family', 'of', 'unitary', 'operators', 'ux', 'acting', 'on', 'a', 'finite', 'dimensional', 'hermitian', 'vector', 'space', 'depending', 'analytically', 'on', 'a', 'real', 'parameter', 'x', 'it', 'is', 'monotone', 'if', 'frac1i', 'uxux1', 'is', 'a', 'positive', 'operator', 'for', 'each', 'x', 'we', 'prove', 'a', 'number', 'of', 'results', 'generalizing', 'standard', 'theorems', 'on', 'the', 'spectral', 'theory', 'of', 'a', 'single', 'unitary', 'operator', 'u_0', 'which', 'correspond', 'to', 'the', 'commutative', 'case', 'uxeixu_0', 'also', 'for', 'a', 'twoparameter', 'unitary', 'family', 'for', 'which', 'there', 'is', 'no', 'analytic', 'perturbation', 'theory', 'we', 'prove', 'an', 'implicit', 'function', 'type', 'theorem', 'for', 'the', 'spectral', 'data', 'under', 'the', 'assumption', 'that', 'the', 'family', 'is', 'monotone', 'in', 'one', 'argument']] | [-0.13861316983226915, 0.11820184503226394, -0.09869701156335674, 0.06113304548578489, -0.07166504721413841, -0.16118384848291778, 0.01935465345681854, 0.3442605621922685, -0.26299748432879544, -0.13230355220789813, 0.10241973837623752, -0.28314661148493653, -0.1578041225605245, 0.2216311625183598, -0.07593316008926046, 0.0400920524071826, 0.04542455623610592, 0.13036713738716682, -0.14474439502893283, -0.21605649653213974, 0.4160540190439823, -0.08441154883784831, 0.22223743510299496, 0.025102740283746615, 0.13253912849622607, 0.04550604269440685, 0.01306748776031392, -0.03452910725722251, -0.12196951690499673, 0.07704548413000468, 0.23992352065991382, 0.0964856088275508, 0.28606379916891456, -0.3316153892486983, -0.20050490316602268, 0.2239298694672025, 0.06974006731215181, 0.03953984600482319, -0.039709442925915044, -0.25506257752137146, 0.1032521967034863, -0.1667262090332046, -0.1936780920119158, -0.08169875908357908, 0.06065495177267157, -0.02613522801595759, -0.3693463070964327, 0.03697771653360735, 0.12776934669105983, 0.0590512021349705, -0.06116748711911543, -0.06379253802136803, -0.03502710484329383, 0.03309666055102586, -0.007122477826465465, 0.062255363625103644, 0.07743995831519061, -0.028687122250370782, -0.07043427210871359, 0.2989549662761048, -0.08911960718355008, -0.3041663952551934, 0.1093616626814616, -0.13613665661280405, -0.1827081356539714, 0.07080807083771012, 0.10024878273394947, 0.179486647961015, -0.08610462770816318, 0.2355667864428643, -0.17013283078653776, 0.16295205263839085, 0.06732631211492177, 0.02390826919902477, 0.10996116973383695, 0.07698775439794005, 0.14802022353384872, 0.10487167294640855, 0.029070496366701414, -0.12033363363743589, -0.37871337465333693, -0.1607379468124626, -0.1912089156899221, 0.1461720685189476, -0.1330172578253004, -0.23693483613659533, 0.38837304727972616, 0.03988182139095888, 0.19535033262277746, 0.10514611418463518, 0.21336011227448376, 0.18394607452352588, 0.040255499395484826, 0.05801475510400321, 0.12162807198212844, 0.17240602732398452, 0.007869208654464811, -0.14695886419420795, -0.004199199713481476, 0.1956847062885609] |
711.287 | Particle Dark Matter Candidates | I give a short overview on some of the favorite particle Cold Dark Matter
candidates today, focusing on those having detectable interactions: the axion,
the KK-photon in Universal Extra Dimensions, the heavy photon in Little Higgs
and the neutralino in Supersymmetry. The neutralino is still the most popular,
and today is available in different flavours: SUGRA, nuSUGRA, sub-GUT, Mirage
mediation, NMSSM, effective MSSM, scenarios with CP violation. Some of these
scenarios are already at the level of present sensitivities for direct DM
searches.
| hep-ph | i give a short overview on some of the favorite particle cold dark matter candidates today focusing on those having detectable interactions the axion the kkphoton in universal extra dimensions the heavy photon in little higgs and the neutralino in supersymmetry the neutralino is still the most popular and today is available in different flavours sugra nusugra subgut mirage mediation nmssm effective mssm scenarios with cp violation some of these scenarios are already at the level of present sensitivities for direct dm searches | [['i', 'give', 'a', 'short', 'overview', 'on', 'some', 'of', 'the', 'favorite', 'particle', 'cold', 'dark', 'matter', 'candidates', 'today', 'focusing', 'on', 'those', 'having', 'detectable', 'interactions', 'the', 'axion', 'the', 'kkphoton', 'in', 'universal', 'extra', 'dimensions', 'the', 'heavy', 'photon', 'in', 'little', 'higgs', 'and', 'the', 'neutralino', 'in', 'supersymmetry', 'the', 'neutralino', 'is', 'still', 'the', 'most', 'popular', 'and', 'today', 'is', 'available', 'in', 'different', 'flavours', 'sugra', 'nusugra', 'subgut', 'mirage', 'mediation', 'nmssm', 'effective', 'mssm', 'scenarios', 'with', 'cp', 'violation', 'some', 'of', 'these', 'scenarios', 'are', 'already', 'at', 'the', 'level', 'of', 'present', 'sensitivities', 'for', 'direct', 'dm', 'searches']] | [-0.1317419058009309, 0.25139631354811054, -0.01959828470050952, 0.2217392630746072, -0.13579683557870875, -0.22271928992346826, -0.005206798060224897, 0.3199945925678833, -0.14621743741753815, -0.36154062507382356, 0.08602825031582131, -0.2773488965446511, 0.004612320282283318, 0.13909546588407268, 0.015692860196647514, 0.03886924180796886, 0.032371095628533735, 0.020068482641714167, -0.021652819067015345, -0.3028782206105001, 0.2780133704486561, 0.028248565695080233, 0.15993621569485908, 0.09244955478920545, 0.024300390815205245, -0.042340714630323004, -0.05397181971144514, -0.13314574009301253, -0.1349922398733626, 0.07252740564108097, 0.2282536720453077, 0.11068712445689542, 0.09419478578436895, -0.37234497086302076, -0.18801350575445377, 0.1999406347230795, 0.16018687342349663, 0.11661910958004644, -0.14787263310155327, -0.33346611320837793, 0.060748998532268075, -0.2124703295293253, -0.059811469178691685, -0.005107916554952243, -0.03383608585425529, -0.13199076439669155, -0.23603549642286387, 0.08948941575748992, -0.1178809066179646, 0.008102828906063574, 0.04166402072219335, -0.20035048651071377, -0.019990994729640253, -0.0616140844221844, 0.19148197655105986, -0.05876961544945735, 0.18714972657252507, -0.27678534636520835, -0.13762579296704336, 0.47299669826605234, -0.0992131388791085, -0.1327846436452749, 0.23638448675712906, -0.11829424934484155, -0.22531860361593853, 0.09993507380945137, 0.13830575432364706, 0.09768628030566566, -0.14730550917510662, 0.23761684617381093, -0.05853655746947211, 0.1660951179934733, 0.07909532200477748, 0.10351196576066944, 0.3438056692795222, 0.2347326494798244, 0.07272024322525565, 0.002018604797860944, -0.040234360804624225, -0.08662282249817332, -0.43773929904921943, -0.10553635104211519, -0.05451429197115891, -0.011549718345582754, -0.11872380685007917, -0.07461692754695394, 0.3871893015387188, 0.14190571850547232, 0.1874422201752124, 0.0009505208385322826, 0.3361673944304327, 0.01815926868199225, 0.06398428197815476, 0.004714263524545963, 0.3372287431217068, 0.03688443391527756, 0.12678247025932174, -0.17711000277377464, -0.040847209091466594, 0.019393553227994097] |
711.2871 | On the link pattern distribution of quarter-turn symmetric FPL
configurations | We present new conjectures on the distribution of link patterns for
fully-packed loop (FPL) configurations that are invariant, or almost invariant,
under a quarter turn rotation, extending previous conjectures of Razumov and
Stroganov and of de Gier. We prove a special case, showing that the link
pattern that is conjectured to be the rarest does have the prescribed
probability. As a byproduct, we get a formula for the enumeration of a new
class of quasi-symmetry of plane partitions.
| math.CO | we present new conjectures on the distribution of link patterns for fullypacked loop fpl configurations that are invariant or almost invariant under a quarter turn rotation extending previous conjectures of razumov and stroganov and of de gier we prove a special case showing that the link pattern that is conjectured to be the rarest does have the prescribed probability as a byproduct we get a formula for the enumeration of a new class of quasisymmetry of plane partitions | [['we', 'present', 'new', 'conjectures', 'on', 'the', 'distribution', 'of', 'link', 'patterns', 'for', 'fullypacked', 'loop', 'fpl', 'configurations', 'that', 'are', 'invariant', 'or', 'almost', 'invariant', 'under', 'a', 'quarter', 'turn', 'rotation', 'extending', 'previous', 'conjectures', 'of', 'razumov', 'and', 'stroganov', 'and', 'of', 'de', 'gier', 'we', 'prove', 'a', 'special', 'case', 'showing', 'that', 'the', 'link', 'pattern', 'that', 'is', 'conjectured', 'to', 'be', 'the', 'rarest', 'does', 'have', 'the', 'prescribed', 'probability', 'as', 'a', 'byproduct', 'we', 'get', 'a', 'formula', 'for', 'the', 'enumeration', 'of', 'a', 'new', 'class', 'of', 'quasisymmetry', 'of', 'plane', 'partitions']] | [-0.19066945520731118, 0.1081823132191904, -0.13302248518448323, 0.09587557361467192, -0.09353983894181557, -0.127182116988712, 0.06929208284232001, 0.3148327936561635, -0.20778679732495967, -0.27932315117989975, 0.11396915727378562, -0.2314893218020025, -0.1611166795482859, 0.2083300428602319, -0.09905735812842464, 0.04293828169839122, 0.04284505640120747, 0.04579073424713734, -0.06667780161250192, -0.26650636916598064, 0.33754751328617716, 0.009158415829565806, 0.23853060421653283, 0.056266674412957705, 0.09141673339912906, 0.017685929886423625, -0.017991711493008412, 0.015711340217445142, -0.178110843869012, 0.10445902413443829, 0.18583810138993728, 0.12742433685343713, 0.1599295284354295, -0.3389741141671458, -0.16296953360478467, 0.12234946527781013, 0.1523068165350616, 0.10362384696371663, -0.0421760906987728, -0.24660543492959383, 0.1309669308292751, -0.15261513171478724, -0.1870914633767918, -0.045208154655157186, 0.02494382830814291, 0.025908398650920927, -0.2694137555379898, 0.03509432608739306, 0.12318643958618243, 0.06130836290331223, -0.017021539468819704, -0.11309094300780159, -0.013315996405883478, 0.12670426693064377, 0.03484490872301066, 0.05879215817026889, 0.03598904306851088, -0.09927766761766413, -0.1734247685660823, 0.3364860587275754, -0.030704092843314774, -0.19668520903453612, 0.1293407988925584, -0.16110794292762876, -0.21329492126973584, 0.0986565272637213, 0.10465760029947911, 0.14154404945050678, -0.059571417808258094, 0.09687956034367044, -0.18273206953054819, 0.10628929361701012, 0.15283765762638396, -0.012876388031798296, 0.19268348793952894, 0.06555450059927236, 0.12622016733691382, 0.18207008151474816, -0.05234578954808127, -0.12157154365036732, -0.3075524824910248, -0.1822653126735718, -0.12214967757851507, 0.08718704782092036, -0.06811750544054518, -0.2057746386824128, 0.38212400636611843, 0.07540317984202351, 0.2098753759338974, 0.1481112390040205, 0.19359325696356022, 0.08068945626459587, 0.053971734745666765, 0.052838964686275296, 0.16991190052328584, 0.15982729869966322, 0.0327974980792556, -0.11559637459233785, 0.04927979672375398, 0.13096736440769371] |
711.2872 | Nonlinear mode conversion in monodomain magnetic squares | Modifications of spatial distributions of dynamic magnetization corresponding
to spinwave eigenmodes of magnetic squares subjected to a strong microwave
excitation field have been studied experimentally and theoretically. We show
that an increase of the excitation power leads to a nonlinear generation of
long-wavelength spatial harmonics caused by the nonlinear cross coupling
between the eigenmodes. The analysis of the experimental data shows that this
process is mainly governed by the action of the nonlinear spin-wave damping.
This conclusion is further supported by the numerical calculations based on the
complex Ginzburg-Landau equation phenomenologically taking into account the
nonlinear damping.
| nlin.PS | modifications of spatial distributions of dynamic magnetization corresponding to spinwave eigenmodes of magnetic squares subjected to a strong microwave excitation field have been studied experimentally and theoretically we show that an increase of the excitation power leads to a nonlinear generation of longwavelength spatial harmonics caused by the nonlinear cross coupling between the eigenmodes the analysis of the experimental data shows that this process is mainly governed by the action of the nonlinear spinwave damping this conclusion is further supported by the numerical calculations based on the complex ginzburglandau equation phenomenologically taking into account the nonlinear damping | [['modifications', 'of', 'spatial', 'distributions', 'of', 'dynamic', 'magnetization', 'corresponding', 'to', 'spinwave', 'eigenmodes', 'of', 'magnetic', 'squares', 'subjected', 'to', 'a', 'strong', 'microwave', 'excitation', 'field', 'have', 'been', 'studied', 'experimentally', 'and', 'theoretically', 'we', 'show', 'that', 'an', 'increase', 'of', 'the', 'excitation', 'power', 'leads', 'to', 'a', 'nonlinear', 'generation', 'of', 'longwavelength', 'spatial', 'harmonics', 'caused', 'by', 'the', 'nonlinear', 'cross', 'coupling', 'between', 'the', 'eigenmodes', 'the', 'analysis', 'of', 'the', 'experimental', 'data', 'shows', 'that', 'this', 'process', 'is', 'mainly', 'governed', 'by', 'the', 'action', 'of', 'the', 'nonlinear', 'spinwave', 'damping', 'this', 'conclusion', 'is', 'further', 'supported', 'by', 'the', 'numerical', 'calculations', 'based', 'on', 'the', 'complex', 'ginzburglandau', 'equation', 'phenomenologically', 'taking', 'into', 'account', 'the', 'nonlinear', 'damping']] | [-0.164598514327717, 0.14875833164032226, -0.08242945797434173, 0.023669867361773473, -0.08947984662540641, -0.054346362464898025, -0.02353272289301739, 0.35951680521067886, -0.26404813875818683, -0.24992581470341413, 0.02542720531646316, -0.26233169732173695, -0.1545447970070809, 0.2097351759763377, 0.06750581787956744, 0.07652827190384076, 0.009134460922292214, -0.03168747199641675, -0.0016366355601198895, -0.16575124285174245, 0.32662297170801263, 0.07974926835962946, 0.3289172812605027, 0.07945693965962868, 0.09720016321882644, 0.0012203597262040857, 0.003865853345655289, 0.032698844996348175, -0.12298369019357704, 0.0948937813002501, 0.19944810415570116, -0.011914800660511883, 0.25207305284332215, -0.4759714373377795, -0.2499937798693469, 0.02158296471173616, 0.1573635900450736, 0.13655430454876005, -0.030773005354669446, -0.2861303858982265, 0.04716959372180821, -0.1278692451833757, -0.118106403661719, -0.11650353715246178, 0.0004986047363100746, 0.02474258680703099, -0.3084470618938662, 0.11475744277008415, 0.09308104041349335, 0.0774694551183745, -0.08176494135338928, -0.054901303884275644, -0.0796518492915658, 0.02566064607721667, 0.09372960499064162, -0.03274276989905797, 0.08988677127678044, -0.10883483974282275, -0.10698054694887443, 0.36279327387815896, -0.09083968488326699, -0.19971938990056515, 0.11299258474615816, -0.1597708668007717, -0.04111572702117648, 0.18912539607125153, 0.18203945515542916, 0.07585204747918341, -0.1344295171444717, 0.08294622359986983, 0.006555142811230701, 0.21068363411102406, 0.06882936902075391, 0.02895576329229726, 0.18079700066525603, 0.1968862020348189, -0.019128670831950207, 0.15351735485583237, -0.09195585795630191, -0.1010619758174649, -0.268764038560624, -0.053432974301893074, -0.19234079591805095, 0.05696882389980301, -0.08138177005712725, -0.14637126118789628, 0.4391490933749364, 0.15252438429310994, 0.1816197737220905, -0.01128360644443748, 0.3177102450137363, 0.2407456003993596, 0.06352060179456531, 0.021641331331170712, 0.3185772110237596, 0.20644362334680466, 0.08939010288911997, -0.35117878606446934, 0.01744117726543054, 0.006382884299286555] |
711.2873 | Trellis Computations | For a certain class of functions, the distribution of the function values can
be calculated in the trellis or a sub-trellis. The forward/backward recursion
known from the BCJR algorithm is generalized to compute the moments of these
distributions. In analogy to the symbol probabilities, by introducing a
constraint at a certain depth in the trellis we obtain symbol moments. These
moments are required for an efficient implementation of the discriminated
belief propagation algorithm in [2], and can furthermore be utilized to compute
conditional entropies in the trellis.
The moment computation algorithm has the same asymptotic complexity as the
BCJR algorithm. It is applicable to any commutative semi-ring, thus actually
providing a generalization of the Viterbi algorithm.
| cs.IT math.IT | for a certain class of functions the distribution of the function values can be calculated in the trellis or a subtrellis the forwardbackward recursion known from the bcjr algorithm is generalized to compute the moments of these distributions in analogy to the symbol probabilities by introducing a constraint at a certain depth in the trellis we obtain symbol moments these moments are required for an efficient implementation of the discriminated belief propagation algorithm in 2 and can furthermore be utilized to compute conditional entropies in the trellis the moment computation algorithm has the same asymptotic complexity as the bcjr algorithm it is applicable to any commutative semiring thus actually providing a generalization of the viterbi algorithm | [['for', 'a', 'certain', 'class', 'of', 'functions', 'the', 'distribution', 'of', 'the', 'function', 'values', 'can', 'be', 'calculated', 'in', 'the', 'trellis', 'or', 'a', 'subtrellis', 'the', 'forwardbackward', 'recursion', 'known', 'from', 'the', 'bcjr', 'algorithm', 'is', 'generalized', 'to', 'compute', 'the', 'moments', 'of', 'these', 'distributions', 'in', 'analogy', 'to', 'the', 'symbol', 'probabilities', 'by', 'introducing', 'a', 'constraint', 'at', 'a', 'certain', 'depth', 'in', 'the', 'trellis', 'we', 'obtain', 'symbol', 'moments', 'these', 'moments', 'are', 'required', 'for', 'an', 'efficient', 'implementation', 'of', 'the', 'discriminated', 'belief', 'propagation', 'algorithm', 'in', '2', 'and', 'can', 'furthermore', 'be', 'utilized', 'to', 'compute', 'conditional', 'entropies', 'in', 'the', 'trellis', 'the', 'moment', 'computation', 'algorithm', 'has', 'the', 'same', 'asymptotic', 'complexity', 'as', 'the', 'bcjr', 'algorithm', 'it', 'is', 'applicable', 'to', 'any', 'commutative', 'semiring', 'thus', 'actually', 'providing', 'a', 'generalization', 'of', 'the', 'viterbi', 'algorithm']] | [-0.12241753696099572, 0.07534726768764971, -0.11399206073306825, 0.12721601340555302, -0.06392372947024262, -0.13920048995591375, 0.06380532420614897, 0.3647382047513257, -0.3371396418660879, -0.29734247739062364, 0.07906290866515558, -0.21199318380297527, -0.1458500081288588, 0.1631996067038373, -0.07184615578963016, 0.09826951539865189, 0.020743915424479738, 0.10088406670028749, -0.1297432837744608, -0.2594439380032861, 0.24969791050028542, 0.07548446951170816, 0.2612068099334188, -4.411653170119161e-05, 0.10458523998360919, 0.02217845264417322, 0.004462343037290418, 0.005145691764419494, -0.08777675332258576, 0.12641869234326092, 0.26446398113975705, 0.18714537336288586, 0.21421390330904852, -0.36687269745313605, -0.14847110525259505, 0.12782854519723713, 0.16096193667744166, 0.14792324999428313, 8.724631093766378e-05, -0.2722195567725145, 0.13454132324651533, -0.18069735406088117, -0.07724003535897836, -0.07294878544609831, -0.039553441915094203, 0.04095628523956175, -0.3472776204995487, 0.009888655076856198, 0.07049533014550158, 0.002749635085448339, -0.010595355498725954, -0.13790629446992408, 0.023854044760050982, 0.08009051068119057, -0.005379075609633456, 0.05752841034985107, 0.05515673380021168, -0.08402363810151735, -0.15935963579332052, 0.3250934236784182, -0.051192611172471356, -0.27001292146742345, 0.07727877629677886, -0.11700797990931239, -0.12082580238094796, 0.16464169497156272, 0.1776955426427657, 0.14787408167739277, -0.1271454798988998, 0.09125592767655769, -0.031940189886676226, 0.1181732061430407, 0.07287791710265952, 0.050546065912298536, 0.15606605540961027, 0.09255646375291374, 0.07753589048009851, 0.1931896007721029, -0.0913790215495164, -0.09341200353051334, -0.2919863470222639, -0.18162642215257105, -0.22748691601192822, -0.004252137581858298, -0.12122105187116414, -0.17164023874894432, 0.39373682037643765, 0.15153336253665065, 0.19105936219996733, 0.15528769848220375, 0.3043171336469443, 0.19119509689854053, 0.08404868820925122, 0.1145154070250852, 0.16238531903566225, 0.15604301088935008, 0.0443776256951463, -0.20670806498307248, 0.14271231013471666, 0.16441018170798602] |
711.2874 | Direct observation of the high magnetic field effect on the Jahn-Teller
state in TbVO4 | We report the first direct observation of the influence of high magnetic
fields on the Jahn-Teller (JT) transition in TbVO4. Contrary to spectroscopic
and magnetic methods, X-ray diffraction directly measures the JT distortion;
the splitting between the (311)/(131) and (202)/(022) pairs of Bragg
reflections is proportional to the order parameter. Our experimental results
are compared to mean field calculations, taking into account all possible
orientations of the grains relative to the applied field, and qualitative
agreement is obtained.
| cond-mat.str-el | we report the first direct observation of the influence of high magnetic fields on the jahnteller jt transition in tbvo4 contrary to spectroscopic and magnetic methods xray diffraction directly measures the jt distortion the splitting between the 311131 and 202022 pairs of bragg reflections is proportional to the order parameter our experimental results are compared to mean field calculations taking into account all possible orientations of the grains relative to the applied field and qualitative agreement is obtained | [['we', 'report', 'the', 'first', 'direct', 'observation', 'of', 'the', 'influence', 'of', 'high', 'magnetic', 'fields', 'on', 'the', 'jahnteller', 'jt', 'transition', 'in', 'tbvo4', 'contrary', 'to', 'spectroscopic', 'and', 'magnetic', 'methods', 'xray', 'diffraction', 'directly', 'measures', 'the', 'jt', 'distortion', 'the', 'splitting', 'between', 'the', '311131', 'and', '202022', 'pairs', 'of', 'bragg', 'reflections', 'is', 'proportional', 'to', 'the', 'order', 'parameter', 'our', 'experimental', 'results', 'are', 'compared', 'to', 'mean', 'field', 'calculations', 'taking', 'into', 'account', 'all', 'possible', 'orientations', 'of', 'the', 'grains', 'relative', 'to', 'the', 'applied', 'field', 'and', 'qualitative', 'agreement', 'is', 'obtained']] | [-0.1572098898468539, 0.14200796034358637, -0.04467377488158251, 0.054403976920232376, -0.07909461085709106, -0.02769928740484542, 0.07009099229042859, 0.42791134589596797, -0.24267604300066045, -0.31098883951965134, 0.01928352968197463, -0.3214875690050815, -0.08804608860641326, 0.18662632360601014, 0.028295995520525856, 0.009096879054069225, 0.011849078043413005, 0.013257849030196667, -0.07738154177557015, -0.2452566763401448, 0.2997566000788203, 0.07861897199855823, 0.32849103785855205, 0.08018858678482693, 0.06494207094778846, 0.03160465041199993, 0.011869315952552776, 0.07857924995723327, -0.17132910500329576, 0.0738376900492432, 0.19838607161747, -0.008735198075699276, 0.176122250329507, -0.40367837019852904, -0.199777159913394, 0.035913562325540146, 0.08060643835204628, 0.11701355505685665, -0.036395250909998525, -0.2961456839754981, 0.0648096033224934, -0.09005522318061833, -0.04422191309276968, -0.09623975881473407, -0.05792512052606693, 0.037200206637958456, -0.31145727141809304, 0.09054748029570635, 0.04435572384040585, 0.07819906524357641, -0.17686683081065943, -0.11325536126663026, -0.030934720897532412, 0.127365933314554, 0.11040209989235002, 0.07734564502453922, 0.10065752780371297, -0.06992308080416958, -0.12156448572089798, 0.42798816063441336, -0.052737720891232846, -0.0747248571929767, 0.15417663667252973, -0.2371106202358772, -0.06921542294347953, 0.1892602741963377, 0.12986618800450264, 0.10051337272958144, -0.07229895275821419, 0.030758715477484082, 0.014525326489666967, 0.1778187695339224, 0.03312503322836404, 0.03894921529363752, 0.19917989898424007, 0.11010706774418634, 0.014449566480164466, 0.12873442180295425, -0.16696188148834104, -0.09103550511415386, -0.2597361664949475, -0.12470624941833146, -0.18077010524269244, 0.00029950671045011595, -0.09000376422371023, -0.12819928671294628, 0.34529720711840417, 0.18016551791592256, 0.20695208836542933, -0.02381443570515043, 0.31126605371920096, 0.10946045887785179, 0.08102653891240295, -0.02924312550672575, 0.30115547693199723, 0.2236453879771656, 0.07673230264213328, -0.3004147523744522, 0.04810462550774805, -0.0040600826522629516] |
711.2875 | Two-dimensional topological field theories coupled to four-dimensional
BF theory | Four dimensional BF theory admits a natural coupling to extended sources
supported on two dimensional surfaces or string world-sheets. Solutions of the
theory are in one to one correspondence with solutions of Einstein equations
with distributional matter (cosmic strings). We study new (topological field)
theories that can be constructed by adding extra degrees of freedom to the two
dimensional world-sheet. We show how two dimensional Yang-Mills degrees of
freedom can be added on the world-sheet, producing in this way, an interactive
(topological) theory of Yang-Mills fields with BF fields in four dimensions. We
also show how a world-sheet tetrad can be naturally added. As in the previous
case the set of solutions of these theories are contained in the set of
solutions of Einstein's equations if one allows distributional matter supported
on two dimensional surfaces. These theories are argued to be exactly
quantizable. In the context of quantum gravity, one important motivation to
study these models is to explore the possibility of constructing a background
independent quantum field theory where local degrees of freedom at low energies
arise from global topological (world-sheet) degrees of freedom at the
fundamental level.
| gr-qc | four dimensional bf theory admits a natural coupling to extended sources supported on two dimensional surfaces or string worldsheets solutions of the theory are in one to one correspondence with solutions of einstein equations with distributional matter cosmic strings we study new topological field theories that can be constructed by adding extra degrees of freedom to the two dimensional worldsheet we show how two dimensional yangmills degrees of freedom can be added on the worldsheet producing in this way an interactive topological theory of yangmills fields with bf fields in four dimensions we also show how a worldsheet tetrad can be naturally added as in the previous case the set of solutions of these theories are contained in the set of solutions of einsteins equations if one allows distributional matter supported on two dimensional surfaces these theories are argued to be exactly quantizable in the context of quantum gravity one important motivation to study these models is to explore the possibility of constructing a background independent quantum field theory where local degrees of freedom at low energies arise from global topological worldsheet degrees of freedom at the fundamental level | [['four', 'dimensional', 'bf', 'theory', 'admits', 'a', 'natural', 'coupling', 'to', 'extended', 'sources', 'supported', 'on', 'two', 'dimensional', 'surfaces', 'or', 'string', 'worldsheets', 'solutions', 'of', 'the', 'theory', 'are', 'in', 'one', 'to', 'one', 'correspondence', 'with', 'solutions', 'of', 'einstein', 'equations', 'with', 'distributional', 'matter', 'cosmic', 'strings', 'we', 'study', 'new', 'topological', 'field', 'theories', 'that', 'can', 'be', 'constructed', 'by', 'adding', 'extra', 'degrees', 'of', 'freedom', 'to', 'the', 'two', 'dimensional', 'worldsheet', 'we', 'show', 'how', 'two', 'dimensional', 'yangmills', 'degrees', 'of', 'freedom', 'can', 'be', 'added', 'on', 'the', 'worldsheet', 'producing', 'in', 'this', 'way', 'an', 'interactive', 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711.2876 | What type of dynamics arise in E_0-dilations of commuting quantum Markov
process? | Let H be a separable Hilbert space. Given two strongly commuting
CP_0-semigroups $\phi$ and $\theta$ on B(H), there is a Hilbert space K
containing H and two (strongly) commuting E_0-semigroups $\alpha$ and $\beta$
such that $\phi_s \circ \theta_t (P_H A P_H) = P_H \alpha_s \circ \beta_t (A)
P_H$ for all s,t and all A in B(K).
In this note we prove that if $\phi$ is not an automorphism semigroup then
$\alpha$ is cocycle conjugate to the minimal *-endomorphic dilation of $\phi$,
and that if $\phi$ is an automorphism semigroup then $\alpha$ is also an
automorphism semigroup. In particular, we conclude that if $\phi$ is not an
automorphism semigroup and has a bounded generator (in particular, if H is
finite dimensional) then $\alpha$ is a type I E_0-semigroup.
| math.OA | let h be a separable hilbert space given two strongly commuting cp_0semigroups phi and theta on bh there is a hilbert space k containing h and two strongly commuting e_0semigroups alpha and beta such that phi_s circ theta_t p_h a p_h p_h alpha_s circ beta_t a p_h for all st and all a in bk in this note we prove that if phi is not an automorphism semigroup then alpha is cocycle conjugate to the minimal endomorphic dilation of phi and that if phi is an automorphism semigroup then alpha is also an automorphism semigroup in particular we conclude that if phi is not an automorphism semigroup and has a bounded generator in particular if h is finite dimensional then alpha is a type i e_0semigroup | [['let', 'h', 'be', 'a', 'separable', 'hilbert', 'space', 'given', 'two', 'strongly', 'commuting', 'cp_0semigroups', 'phi', 'and', 'theta', 'on', 'bh', 'there', 'is', 'a', 'hilbert', 'space', 'k', 'containing', 'h', 'and', 'two', 'strongly', 'commuting', 'e_0semigroups', 'alpha', 'and', 'beta', 'such', 'that', 'phi_s', 'circ', 'theta_t', 'p_h', 'a', 'p_h', 'p_h', 'alpha_s', 'circ', 'beta_t', 'a', 'p_h', 'for', 'all', 'st', 'and', 'all', 'a', 'in', 'bk', 'in', 'this', 'note', 'we', 'prove', 'that', 'if', 'phi', 'is', 'not', 'an', 'automorphism', 'semigroup', 'then', 'alpha', 'is', 'cocycle', 'conjugate', 'to', 'the', 'minimal', 'endomorphic', 'dilation', 'of', 'phi', 'and', 'that', 'if', 'phi', 'is', 'an', 'automorphism', 'semigroup', 'then', 'alpha', 'is', 'also', 'an', 'automorphism', 'semigroup', 'in', 'particular', 'we', 'conclude', 'that', 'if', 'phi', 'is', 'not', 'an', 'automorphism', 'semigroup', 'and', 'has', 'a', 'bounded', 'generator', 'in', 'particular', 'if', 'h', 'is', 'finite', 'dimensional', 'then', 'alpha', 'is', 'a', 'type', 'i', 'e_0semigroup']] | [-0.16096627183022008, 0.2523834255643167, -0.07784334397209543, 0.010373777065921339, -0.11155923189307075, -0.17736712478411695, -0.04183480084415466, 0.39706714713339886, -0.3855812443302028, -0.09051347813302917, 0.08473756015374666, -0.3484352729985461, -0.11234269026548617, 0.18907653108712227, -0.07455883321854921, -0.020384014122158525, 0.05478337331719342, 0.16645670543232607, -0.11766064322243135, -0.2022895384284239, 0.3688266123127606, -0.059500768492441805, 0.08223302158275766, 0.0447868159935174, 0.11457851569035224, -0.04696435595692564, 0.04436659000237428, 0.0017422034348812073, -0.23420563417173634, -0.04134736324490477, 0.2270808599977976, 0.14487076376468713, 0.23937723586808832, -0.25464555057179594, -0.09005849100538485, 0.28245604174241185, 0.1545941224321723, -0.13658064169188341, -0.038504835749451544, -0.23589367719204535, 0.12752346966474776, -0.1752655709380402, -0.08560870076337504, -0.07429180079923263, 0.1809273192895547, -0.06718866957262867, -0.39244856074127177, -0.004776127000999016, 0.14330490195887194, 0.070129717920079, 0.022827288760463634, -0.0882742004764695, -0.11399886650698525, 0.025411389908561156, -0.026580315541535143, 0.16589844536908444, 0.08301865347173243, -0.04186612485044327, -0.03646270713828031, 0.33828284591436386, -0.08315346759858556, -0.259707674385965, 0.047294529390499176, -0.24659146056584422, -0.197967266730432, 0.10926923858711407, 0.041964376027444523, 0.14142296363651338, -0.053430545949451035, 0.29704669493505553, -0.12805790443801218, 0.1958646522687068, 0.04374817973889765, -0.0342332176745884, 0.04548589732970983, 0.040692113195767717, 0.14669080560755296, 0.09185769088799134, 0.03947313904340956, 0.04783501043557263, -0.4196201672274915, -0.1929516479712985, -0.11179153457660937, 0.16059989890565038, -0.1254502432524792, -0.15239104352122734, 0.33354869380681995, 0.03402549757332068, 0.19618958937713787, 0.06433936061396722, 0.19340205423179127, 0.1320265968175908, -0.015341516628506639, 0.1411414310698294, 0.10723393299387739, 0.19961365664909994, -0.04803093950012847, -0.21149295889624645, 0.008440761032351663, 0.17588229125976795] |
711.2877 | "Mass Inflation" With Lightlike Branes | We discuss properties of a new class of p-brane models, describing
intrinsically lightlike branes for any world-volume dimension, in various
gravitational backgrounds of interest in the context of black hole physics. One
of the characteristic features of these lightlike p-branes is that the brane
tension appears as an additional nontrivial dynamical world-volume degree of
freedom. Codimension one lightlike brane dynamics requires that bulk space with
a bulk metric of spherically symmetric type must possess an event horizon which
is automatically occupied by the lightlike brane while its tension evolves
exponentially with time. The latter phenomenon is an analog of the well known
"mass inflation" effect in black holes.
| hep-th gr-qc | we discuss properties of a new class of pbrane models describing intrinsically lightlike branes for any worldvolume dimension in various gravitational backgrounds of interest in the context of black hole physics one of the characteristic features of these lightlike pbranes is that the brane tension appears as an additional nontrivial dynamical worldvolume degree of freedom codimension one lightlike brane dynamics requires that bulk space with a bulk metric of spherically symmetric type must possess an event horizon which is automatically occupied by the lightlike brane while its tension evolves exponentially with time the latter phenomenon is an analog of the well known mass inflation effect in black holes | [['we', 'discuss', 'properties', 'of', 'a', 'new', 'class', 'of', 'pbrane', 'models', 'describing', 'intrinsically', 'lightlike', 'branes', 'for', 'any', 'worldvolume', 'dimension', 'in', 'various', 'gravitational', 'backgrounds', 'of', 'interest', 'in', 'the', 'context', 'of', 'black', 'hole', 'physics', 'one', 'of', 'the', 'characteristic', 'features', 'of', 'these', 'lightlike', 'pbranes', 'is', 'that', 'the', 'brane', 'tension', 'appears', 'as', 'an', 'additional', 'nontrivial', 'dynamical', 'worldvolume', 'degree', 'of', 'freedom', 'codimension', 'one', 'lightlike', 'brane', 'dynamics', 'requires', 'that', 'bulk', 'space', 'with', 'a', 'bulk', 'metric', 'of', 'spherically', 'symmetric', 'type', 'must', 'possess', 'an', 'event', 'horizon', 'which', 'is', 'automatically', 'occupied', 'by', 'the', 'lightlike', 'brane', 'while', 'its', 'tension', 'evolves', 'exponentially', 'with', 'time', 'the', 'latter', 'phenomenon', 'is', 'an', 'analog', 'of', 'the', 'well', 'known', 'mass', 'inflation', 'effect', 'in', 'black', 'holes']] | [-0.20157035320341862, 0.18112076241757474, -0.05686792627804809, 0.10745129176238724, -0.13117583309455463, -0.17153964275429542, -0.08053975613330733, 0.2874217582068889, -0.177148862655654, -0.2470590600623163, 0.068343757132189, -0.29595562177537765, -0.1276020999971984, 0.12200530449411383, -0.07500334813354399, 0.004213901313724583, -0.035502484516689074, 0.08392477926746425, -0.06235300662013254, -0.24939764136689957, 0.4233078010880423, 0.05580780699475091, 0.2599064966650783, 0.011573136214994721, 0.12323405790246195, -0.027303339952292543, 0.04669550045057096, 0.07518849474554709, -0.1200671300247012, 0.0709280613917616, 0.1862974334695806, 0.10731983154848287, 0.142474551650661, -0.4281309292030831, -0.26155342258237024, 0.10921073075991848, 0.2011989039925134, 0.16296902259232915, -0.054896888804958306, -0.28374035293516636, 0.00828310977420996, -0.15075179541613412, -0.24652454955934514, -0.014514051141304662, 0.0813876075402799, -0.10600516591619924, -0.17630836964289537, 0.09347350178372667, 0.06851913016779926, -0.023353707479987794, -0.08938743898977043, -0.021746284759568947, -0.13076124449704635, 0.0705135496822617, 0.17766017401461592, 0.03956687423245361, 0.1715752733440173, -0.1555924206989369, -0.1595596520325031, 0.3502090447194253, -0.06005276601084646, -0.24396533957136585, 0.16340414838244519, -0.17776435657611322, -0.1251145093443079, 0.14621494977769475, 0.11776827139935146, 0.20681384053831506, -0.15469283106115958, 0.20790251764938822, 0.014508464563362024, 0.13994427932818695, 0.10978186627660223, 0.10461116175995105, 0.39065046827481303, 0.14287146624539876, 0.054215355131654416, 0.1548195031462927, -0.048201706128397574, -0.09843823184362716, -0.3975198727480515, -0.1560880157932708, -0.1283769581027122, 0.13635488973792503, -0.2235875847335491, -0.23522998204592754, 0.35967134668371054, 0.045951966971322825, 0.18756445337014696, 0.0008216024887385882, 0.2103870062787623, 0.031484179845493704, 0.05287611650527214, 0.0837776026541919, 0.2805944033165428, 0.08897363069182676, 0.09668470452824193, -0.22405031216934462, -0.06181930022797099, 0.14480197642653905] |
711.2878 | Critical behavior of interfaces in disordered Potts ferromagnets :
statistics of free-energy, energy and interfacial adsorption | A convenient way to study phase transitions of finite spins systems of linear
size $L$ is to fix boundary conditions that impose the presence of a
system-size interface. In this paper, we study the statistical properties of
such an interface in a disordered Potts ferromagnet in dimension $d=2$ within
Migdal-Kadanoff real space renormalization. We first focus on the interface
free-energy and energy to measure the singularities of the average and random
contributions, as well as the corresponding histograms, both in the
low-temperature phase and at criticality. We then consider the critical
behavior of the interfacial adsorption of non-boundary states. Our main
conclusion is that all singularities involve the correlation length
$\xi_{av}(T) \sim (T_c-T)^{-\nu}$ appearing in the average free-energy $\bar{F}
\sim (L/\xi_{av}(T))^{d_s}$ of the interface of dimension $d_s=d-1$, except for
the free-energy width $\Delta F \sim (L/\xi_{var}(T))^{\theta}$ that involves
the droplet exponent $\theta$ and another correlation length $\xi_{var}(T)$
which diverges more rapidly than $\xi_{av}(T)$. We compare with the spin-glass
transition in $d=3$, where $\xi_{var}(T)$ is the 'true' correlation length, and
where the interface energy presents unconventional scaling with a chaos
critical exponent $\zeta_c>1/\nu$ [Nifle and Hilhorst, Phys. Rev. Lett. 68,
2992 (1992)]. The common feature is that in both cases, the characteristic
length scale $L_{ch}(T)$ associated with the chaotic nature of the
low-temperature phase, diverges more slowly than the correlation length.
| cond-mat.dis-nn | a convenient way to study phase transitions of finite spins systems of linear size l is to fix boundary conditions that impose the presence of a systemsize interface in this paper we study the statistical properties of such an interface in a disordered potts ferromagnet in dimension d2 within migdalkadanoff real space renormalization we first focus on the interface freeenergy and energy to measure the singularities of the average and random contributions as well as the corresponding histograms both in the lowtemperature phase and at criticality we then consider the critical behavior of the interfacial adsorption of nonboundary states our main conclusion is that all singularities involve the correlation length xi_avt sim t_ctnu appearing in the average freeenergy barf sim lxi_avtd_s of the interface of dimension d_sd1 except for the freeenergy width delta f sim lxi_varttheta that involves the droplet exponent theta and another correlation length xi_vart which diverges more rapidly than xi_avt we compare with the spinglass transition in d3 where xi_vart is the true correlation length and where the interface energy presents unconventional scaling with a chaos critical exponent zeta_c1nu nifle and hilhorst phys rev lett 68 2992 1992 the common feature is that in both cases the characteristic length scale l_cht associated with the chaotic nature of the lowtemperature phase diverges more slowly than the correlation length | [['a', 'convenient', 'way', 'to', 'study', 'phase', 'transitions', 'of', 'finite', 'spins', 'systems', 'of', 'linear', 'size', 'l', 'is', 'to', 'fix', 'boundary', 'conditions', 'that', 'impose', 'the', 'presence', 'of', 'a', 'systemsize', 'interface', 'in', 'this', 'paper', 'we', 'study', 'the', 'statistical', 'properties', 'of', 'such', 'an', 'interface', 'in', 'a', 'disordered', 'potts', 'ferromagnet', 'in', 'dimension', 'd2', 'within', 'migdalkadanoff', 'real', 'space', 'renormalization', 'we', 'first', 'focus', 'on', 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711.2879 | A family of martingales generated by a process with independent
increments | An explicit procedure to construct a family of martingales generated by a
process with independent increments is presented. The main tools are the
polynomials that give the relationship between the moments and cumulants, and a
set of martingales related to the jumps of the process called Teugels
martingales
| math.PR | an explicit procedure to construct a family of martingales generated by a process with independent increments is presented the main tools are the polynomials that give the relationship between the moments and cumulants and a set of martingales related to the jumps of the process called teugels martingales | [['an', 'explicit', 'procedure', 'to', 'construct', 'a', 'family', 'of', 'martingales', 'generated', 'by', 'a', 'process', 'with', 'independent', 'increments', 'is', 'presented', 'the', 'main', 'tools', 'are', 'the', 'polynomials', 'that', 'give', 'the', 'relationship', 'between', 'the', 'moments', 'and', 'cumulants', 'and', 'a', 'set', 'of', 'martingales', 'related', 'to', 'the', 'jumps', 'of', 'the', 'process', 'called', 'teugels', 'martingales']] | [-0.1065098718002749, 0.1520624801126663, -0.11130877632725363, 0.0846110052811279, -0.06520304336057355, -0.06079000511090271, 0.027227771965650998, 0.3320824086937743, -0.3350845774790893, -0.20207091983562955, 0.1394498559917944, -0.29450201081150834, -0.12367825891124085, 0.21691886083378145, -0.09940379821152116, 0.036688514437022, 0.004013405346389239, -0.016567564375388127, 0.0019392897811485454, -0.23980492971895728, 0.33857913515142474, 0.02354534314387517, 0.23092833836562932, -0.041314845400241516, 0.20788079725267986, -0.02052075060782954, -0.08842377232698102, -0.06795424319958936, -0.1537631287800044, 0.17451258921452487, 0.22576648757482567, 0.08873022320146144, 0.27770311523151275, -0.36519446833214414, -0.06948179279182416, 0.1662009914580267, 0.08444474424807898, 0.03158304079746207, -0.06581296946387738, -0.3152229752158746, 0.034372479654848576, -0.11764511132302384, -0.15398729571218914, -0.1091389407326157, 0.03437681798823178, 0.14942195045296103, -0.378060696957012, 0.07204686609717707, 0.14359079864031324, 0.06665060273371637, 0.030889513446406152, -0.10295486230946456, -0.013670310897092955, 0.0804485365418562, 0.06729054462023971, 0.006271189767479275, 0.1044999969114239, -0.0325120193362333, -0.2201664058569198, 0.28296502198281814, -0.034978221966108926, -0.2678046807801972, 0.13923402658353248, -0.17856759639107622, -0.1304093770935045, 0.12070905124225344, 0.15205954806879163, 0.11646512246807106, -0.20994544114607075, 0.0889898811171103, -0.019194201508071274, 0.08064081865207602, 0.028288540265445288, -0.03029542347455087, 0.1378459082916379, 0.062421420123428106, 0.10198788022777687, 0.17596563376719132, 0.016498299441688385, -0.14816455841840556, -0.3952391149941832, -0.18661839169605324, -0.21059357697959058, 0.03942115722262921, -0.1519975903932694, -0.23486963515946022, 0.38581723587897915, 0.14537582113795602, 0.20955639825357744, 0.14201306671990702, 0.18334990951310223, 0.18577456736026457, -0.0036801413322488465, 0.036528898708638735, 0.08600840713673581, 0.2415501641080482, 0.07358574240060989, -0.12096571687531348, 0.13853282466880046, 0.1519004594301805] |
711.288 | Around the gap between sociophysics and sociology | Some basic sociophysical notions are described by a physicist, tentatively
for a sociologically-oriented reader.
| physics.soc-ph | some basic sociophysical notions are described by a physicist tentatively for a sociologicallyoriented reader | [['some', 'basic', 'sociophysical', 'notions', 'are', 'described', 'by', 'a', 'physicist', 'tentatively', 'for', 'a', 'sociologicallyoriented', 'reader']] | [-0.08121237932489468, 0.14027964094510445, -0.09101780532644345, 0.2092038908830056, -0.21215682075573847, -0.29217917608240473, 0.008623213005753664, 0.33163699908898425, -0.23454456518475825, -0.26859914052944917, 0.0711272254299659, -0.29870507092430043, -0.17245897106253183, 0.14955005952372, -0.19433884938748983, -0.051591791570759736, 0.0009882468013809277, 0.05187991548043031, 0.0019575728533359673, -0.1987547600785127, 0.27535175517774546, 0.07627576073774925, 0.08647320992671527, 0.022191824678045053, 0.06089957545583065, -0.08590942553172891, -0.05058388035887709, 0.07283944507630971, -0.20579011322787175, 0.07036622556356284, 0.32512228133586735, 0.1649641229842718, 0.38554480098761046, -0.3763784955327327, -0.21409145054908899, -0.05857662140176846, 0.030869912177037735, 0.07817892637775423, -0.012661803657045731, -0.3707704624304405, 0.04462963924743235, -0.20215307921171188, -0.1997704438936825, -0.0635677375472509, 0.014780659228563309, 0.0650492746096391, -0.10046634823083878, -0.028273781331685875, 0.05398554838477419, 0.19297529871647173, -0.006943030247034935, -0.16955739030471215, 0.09669680391939786, 0.010963592069366803, 0.00616199028893159, -0.002663199145060319, 0.12641996875978434, -0.07770492702435988, -0.21316087016692528, 0.3919395093734448, -0.015317528759344267, -0.2610941847356466, 0.13528786399043524, 0.0027127306765088667, -0.2116487491517686, 0.019872350045121633, -0.0010728964295524817, 0.012298158441598598, -0.21827435923310426, -0.005728645751122923, -0.08860323599611337, 0.05920385426053634, 0.10014836773133048, 0.02299786523844187, 0.27251337153407246, 0.12142548645631625, -0.12356209267790501, 0.0702984114535726, 0.1072533496010762, -0.09531617279236133, -0.3911596152644891, -0.18470421318824476, -0.12851999341868436, 0.05026206402824475, 0.10966435887922461, -0.08040155341418889, 0.39217290239265334, 0.1204291872966748, 0.19806246344859785, -0.00555844812725599, 0.2594423448810211, 0.0621920101917707, -0.001064834829706412, 0.04498772518351101, 0.17022269460274123, 0.24321662478793699, 0.1364678668861206, 0.010761264998179216, 0.0727049671113491, 0.1323457732438468] |
711.2881 | The MW is an exceptionnally quiet galaxy: implications for spiral
formation | We compare both the Milky Way and M31 to local external disk galaxies within
the same mass range, using their relative locations in the planes formed by
Vflat vs. MK (the Tully-Fisher relation), j_disk (specific angular momentum)
and the average Fe abundance of stars in the galaxy outskirts. We find, for all
relationships, that the MW is systematically offset by 1 sigma or more, showing
a significant deficiency in stellar mass, angular momentum, disk radius and
[Fe/H] in the stars in its outskirts at a given Vflat. Our Galaxy appears to
have escaped any significant merger over the last 10-11 Gyr which may explain
its peculiar properties. As with M31, most local spirals show evidence for a
history shaped mainly by relatively recent merging.
| astro-ph | we compare both the milky way and m31 to local external disk galaxies within the same mass range using their relative locations in the planes formed by vflat vs mk the tullyfisher relation j_disk specific angular momentum and the average fe abundance of stars in the galaxy outskirts we find for all relationships that the mw is systematically offset by 1 sigma or more showing a significant deficiency in stellar mass angular momentum disk radius and feh in the stars in its outskirts at a given vflat our galaxy appears to have escaped any significant merger over the last 1011 gyr which may explain its peculiar properties as with m31 most local spirals show evidence for a history shaped mainly by relatively recent merging | [['we', 'compare', 'both', 'the', 'milky', 'way', 'and', 'm31', 'to', 'local', 'external', 'disk', 'galaxies', 'within', 'the', 'same', 'mass', 'range', 'using', 'their', 'relative', 'locations', 'in', 'the', 'planes', 'formed', 'by', 'vflat', 'vs', 'mk', 'the', 'tullyfisher', 'relation', 'j_disk', 'specific', 'angular', 'momentum', 'and', 'the', 'average', 'fe', 'abundance', 'of', 'stars', 'in', 'the', 'galaxy', 'outskirts', 'we', 'find', 'for', 'all', 'relationships', 'that', 'the', 'mw', 'is', 'systematically', 'offset', 'by', '1', 'sigma', 'or', 'more', 'showing', 'a', 'significant', 'deficiency', 'in', 'stellar', 'mass', 'angular', 'momentum', 'disk', 'radius', 'and', 'feh', 'in', 'the', 'stars', 'in', 'its', 'outskirts', 'at', 'a', 'given', 'vflat', 'our', 'galaxy', 'appears', 'to', 'have', 'escaped', 'any', 'significant', 'merger', 'over', 'the', 'last', '1011', 'gyr', 'which', 'may', 'explain', 'its', 'peculiar', 'properties', 'as', 'with', 'm31', 'most', 'local', 'spirals', 'show', 'evidence', 'for', 'a', 'history', 'shaped', 'mainly', 'by', 'relatively', 'recent', 'merging']] | [-0.075766956489045, 0.0940210762764177, -0.07664712751659775, 0.11087952116823514, -0.08613460218147075, 0.003775711798469626, 0.046514776685545524, 0.4478367065049468, -0.16954605755182134, -0.36619166924708313, -0.03763742203497508, -0.27760900520238907, -0.0039755269573370534, 0.19854213595352765, -0.055427583304399085, -0.05675756118744762, 0.03673386458502782, -0.05130292903707032, -0.10955401589930144, -0.2939464128632549, 0.28969673426341147, 0.04411829004980503, 0.12692808730512736, -0.05566111332812016, 0.05309297414691349, -0.09200423313004355, -0.052323877946623874, -0.014567940954058882, -0.16642119750342257, 0.016066522014537645, 0.22388536321382307, 0.09740528152624686, 0.22997228922923246, -0.3588790583814825, -0.18875755901089794, 0.076034132793035, 0.24350356294082537, 0.03353828997370006, -0.13597319841222, -0.24437391135049233, 0.10046387636459493, -0.2021550806764994, -0.17563628716649668, 0.08257565155074717, 0.10001525455605119, 0.03043310778335698, -0.14968558750115335, 0.19670263275451538, 0.0673260491498255, 0.11543413352281336, -0.08788353509284676, -0.11519652164180673, -0.11025745683206967, 0.06375526454893031, 0.027630812593645627, 0.09946159926062871, 0.2084223039696113, -0.12566880885353912, -0.0017117839306592941, 0.40093420190556395, -0.05992454159704427, -0.019942254027081354, 0.21707122721108457, -0.25214736254870773, -0.150812758590966, 0.05503727296074372, 0.13500161290979915, 0.08402768295866647, -0.16210426146825474, 0.030771651104817378, -0.027671439410750603, 0.2073915706827275, 0.09750564638412587, 0.03283795751016324, 0.34788419064434783, 0.06179439716581856, 0.074792695573471, 0.03502609589580266, -0.198410214698543, -0.061991818040804635, -0.19905054018712573, -0.10966587341540764, -0.1076468970343065, 0.05834945832048693, -0.18228523045998432, -0.07840873440727592, 0.3351466879661706, 0.09757556719811081, 0.31186054008562236, 0.05069291186349977, 0.3196064094419501, 0.0764166705663346, 0.1556405177144634, 0.1482113782323957, 0.29919538855357397, 0.1989586773852352, 0.06949596629279005, -0.2540143028675248, 0.09668224494277139, -0.025655009504501527] |
711.2882 | Ultraperipheral Collisions at RHIC and LHC | A brief introduction to the physics of ultraperipheral collisions at collider
energies is given. Photon-hadron (proton/ nucleus) and photon-photon
interactions can be studied in a hitherto unexplored energy regime.
| hep-ph nucl-th | a brief introduction to the physics of ultraperipheral collisions at collider energies is given photonhadron proton nucleus and photonphoton interactions can be studied in a hitherto unexplored energy regime | [['a', 'brief', 'introduction', 'to', 'the', 'physics', 'of', 'ultraperipheral', 'collisions', 'at', 'collider', 'energies', 'is', 'given', 'photonhadron', 'proton', 'nucleus', 'and', 'photonphoton', 'interactions', 'can', 'be', 'studied', 'in', 'a', 'hitherto', 'unexplored', 'energy', 'regime']] | [-0.08033001744027796, 0.2837313089905114, -0.1593267094797519, 0.2327149290438934, -0.03767731997730403, -0.156622333008523, -0.07533307434541398, 0.36040282609133883, -0.2280599706613555, -0.26354745666271656, -0.11980776365541307, -0.33551074024932137, 0.09503768718448179, 0.13969324246562762, 0.11613963647135372, -0.005258689955647649, 0.10992627282594812, -0.03909198535156661, 0.0005956580220111485, -0.16268469855703158, 0.24975503685659375, 0.25700935136912195, 0.17242031639184932, 0.295770788778288, 0.10169908346544052, 0.06784848129408884, 0.07309879436446674, -0.03446714400217451, -0.14611763199229308, 0.06538139938091828, 0.39385159329736025, -0.020452281652853406, 0.214405439087543, -0.3919365354974208, -0.13086977880448103, 0.14728777306475516, 0.19191618469254723, 0.1931146625670251, -0.14258368669784274, -0.29091592903794916, -0.04645424798644822, -0.29227757036429025, -0.1433148866133957, -0.03626365993364618, 0.055986782471681464, -0.03176994840132779, -0.2872618850449036, 0.06221274607654276, -0.05669272042297084, 0.08793459106878988, 0.009906735900460324, -0.1523643982564581, 0.05466898980325666, -0.052523824129382085, 0.060355263176085104, 0.09958033975021079, 0.22408752111268454, -0.18973747355429904, -0.17097386114042382, 0.38323928826841813, 0.07296529890776708, -0.06382797947474594, 0.2273083827819611, -0.24820803455879975, -0.15017026263802988, 0.2203088438716428, 0.33075177255247173, 0.07466910214259706, -0.2576785683953043, 0.15292765135708233, 0.0264308690896322, 0.14439997960540368, 0.0972182840301559, 0.1532633201187027, 0.21856414231246915, 0.28159898718626336, -0.0728875207072445, 0.05969667633401294, -0.08659581428168919, -0.04961075775068382, -0.4536124661821744, -0.017095614048042173, -0.12315268994405351, 0.0757529264444421, 0.110389033059995, 0.025759311328674185, 0.35386404754786654, 0.01994698146229674, 0.2575277966800435, -0.10025338398228431, 0.2891235448548506, 0.08601406788260772, 0.015613994548089224, 0.0459022938915135, 0.3891469522796828, 0.16966066284683243, 0.17461407762663117, -0.19392635462934088, 0.059297168707667755, 0.07040985689723286] |
711.2883 | Bound Pairs: Direct Evidence for Long-range Attraction between
Like-Charged Colloids | We report observations of stable bound pairs in very dilute deionized aqueous
suspensions of highly charged polystyrene colloidal particles, with monovalent
counterions, using a confocal laser scanning microscope. Through an analysis of
several thousands of time series of confocal images recorded deep inside the
bulk suspension, we find that the measured pair-potential, U(r) has a
long-range attractive component with well depths larger than the thermal
energy. These observations provide a direct and unequivocal evidence for the
existence of long-range attraction in U(r) of like-charged colloidal particles.
| cond-mat.soft cond-mat.stat-mech | we report observations of stable bound pairs in very dilute deionized aqueous suspensions of highly charged polystyrene colloidal particles with monovalent counterions using a confocal laser scanning microscope through an analysis of several thousands of time series of confocal images recorded deep inside the bulk suspension we find that the measured pairpotential ur has a longrange attractive component with well depths larger than the thermal energy these observations provide a direct and unequivocal evidence for the existence of longrange attraction in ur of likecharged colloidal particles | [['we', 'report', 'observations', 'of', 'stable', 'bound', 'pairs', 'in', 'very', 'dilute', 'deionized', 'aqueous', 'suspensions', 'of', 'highly', 'charged', 'polystyrene', 'colloidal', 'particles', 'with', 'monovalent', 'counterions', 'using', 'a', 'confocal', 'laser', 'scanning', 'microscope', 'through', 'an', 'analysis', 'of', 'several', 'thousands', 'of', 'time', 'series', 'of', 'confocal', 'images', 'recorded', 'deep', 'inside', 'the', 'bulk', 'suspension', 'we', 'find', 'that', 'the', 'measured', 'pairpotential', 'ur', 'has', 'a', 'longrange', 'attractive', 'component', 'with', 'well', 'depths', 'larger', 'than', 'the', 'thermal', 'energy', 'these', 'observations', 'provide', 'a', 'direct', 'and', 'unequivocal', 'evidence', 'for', 'the', 'existence', 'of', 'longrange', 'attraction', 'in', 'ur', 'of', 'likecharged', 'colloidal', 'particles']] | [-0.11835683920409877, 0.2240727267562761, -0.1149677463135747, -0.019694213170644848, 0.048045941498563734, -0.16254031625143145, -0.024375552159929, 0.4188256387512178, -0.19996298238808333, -0.3139363811825142, -0.017281502806094237, -0.3553450733943041, -0.09257762226395222, 0.14797553477462294, 0.03014939060694603, 0.047512051530268995, 0.06533407154601327, -0.061880651798822135, -0.006580795007108083, -0.17233135720693268, 0.18244769457770987, 0.021331041084458987, 0.2533015978446793, 0.10209574104763221, 0.11638349729460166, 0.05495204702073838, 0.04196296906271993, 0.0640573188565065, -0.20386068950460337, 0.10811899806546091, 0.22414227394755323, -0.042510463022302054, 0.214119546916769, -0.5041270581788795, -0.2025544649899699, 0.13010949025277135, 0.18124765719200464, 0.08407336572553356, -0.16191982164935664, -0.32564428782220495, 0.033584964253159974, -0.1281019453998915, -0.15302879869028232, -0.08573854514830855, 0.03927815663438767, 0.1083736184166831, -0.23678323735894505, 0.14925938271538375, 0.008484507370794321, 0.13358897109364354, -0.1340524096929923, -0.047194277174597565, -0.021192771033383906, 0.052675542773592265, 0.06100093945860863, -0.03358991808247168, 0.26481277414402643, -0.16057707078018507, -0.03777471689377413, 0.3707126445288575, -0.1139369712187164, -0.10855394599656033, 0.2672559658585246, -0.16354348816432404, -0.04358511918148589, 0.2545152384311307, 0.13155431241923293, 0.1814857925353355, -0.1849296885423449, -0.009599354898497505, -0.0850782057183773, 0.24914997863328778, 0.11843426637134927, 0.025199663505867817, 0.2772254269830016, 0.23032481678041392, 0.008295232126879137, 0.1731235477410062, -0.1631174607254527, -0.040732513896601145, -0.18797739530198795, -0.21621591926804137, -0.20646219367572907, 0.02563371050285262, -0.11878280979286755, -0.19616770850451187, 0.26419595901876, 0.07901332360491979, 0.18528307056552623, 0.027173022782906543, 0.2767427114899768, -0.03488034651029941, 0.03646195893240876, -0.05915838586123184, 0.29690446741445814, 0.11332087484080085, 0.12256368950854034, -0.21958345978596616, -0.007827940475477208, 0.02888214088933066] |
711.2884 | Uniqueness and disjointness of Klyachko models | We show the uniqueness and disjointness of Klyachko models for GL(n,F) over a
non-archimedean local field F. This completes, in particular, the study of
Klyachko models on the unitary dual. Our local results imply a global rigidity
property for the discrete automorphic spectrum.
| math.RT | we show the uniqueness and disjointness of klyachko models for glnf over a nonarchimedean local field f this completes in particular the study of klyachko models on the unitary dual our local results imply a global rigidity property for the discrete automorphic spectrum | [['we', 'show', 'the', 'uniqueness', 'and', 'disjointness', 'of', 'klyachko', 'models', 'for', 'glnf', 'over', 'a', 'nonarchimedean', 'local', 'field', 'f', 'this', 'completes', 'in', 'particular', 'the', 'study', 'of', 'klyachko', 'models', 'on', 'the', 'unitary', 'dual', 'our', 'local', 'results', 'imply', 'a', 'global', 'rigidity', 'property', 'for', 'the', 'discrete', 'automorphic', 'spectrum']] | [-0.17591638642168322, 0.009671061050666625, -0.1554265120608169, 0.0944734463809318, -0.031967014680768166, -0.06638188367752834, -0.0004736220485769039, 0.28899772985307715, -0.2913655922856442, -0.1825463414885277, 0.07338812041670344, -0.1785165347851986, -0.15068652454850284, 0.21976915285597706, -0.11677610874176025, 0.058926964871758636, 0.02744423598051071, 0.08993405489207701, -0.12725884040687666, -0.2914148252890554, 0.3651947694462399, -0.025956795312637507, 0.27013254074683024, 0.054312581976139265, 0.08163721543780073, 0.10038092890537756, -0.03356601144078859, -0.041560775183444455, -0.14038071055831605, 0.13256230328751858, 0.24581765193647168, 0.10157735843947807, 0.23675265007240828, -0.40203279239493744, -0.23574965436358092, 0.23628401167170945, 0.04618677131961598, 0.028152742580142477, -0.05208094737243427, -0.3331693664279788, 0.12341990817858037, -0.13084904277740522, -0.15539969644660867, -0.10671708613720744, 0.0165574204441983, 0.019643651835923624, -0.31407991675443425, 0.08743084796032934, 0.20418956360324872, 0.1638530706986785, -0.17160931137542046, -0.042260752373569924, -0.024610422178019963, 0.05242614822765423, 0.012608441112692966, 0.046482539188853186, 0.07330859438407906, -0.13487116245791142, -0.12980271463531481, 0.31757508339576945, -0.12638190496972826, -0.17003270534278694, 0.1839460034984662, -0.15587198270788027, -0.23096864462591882, 0.051032051660640294, 0.11968268428084462, 0.15521488566124855, -0.02125209821171539, 0.2687432552609311, -0.23870525656397953, 0.08760837677779586, 0.029794638868161413, 0.015985831574991692, 0.13955731810677016, 0.040376922240220874, 0.14490487621447376, 0.11189561179665805, 0.0639301600966191, -0.051754124375969865, -0.3707665427436316, -0.17454349831677973, -0.1305192541764226, 0.13546879498591258, -0.10499888692466748, -0.14646017858975155, 0.5049111535556094, 0.09447592271621837, 0.17957358452123265, 0.2191027323498802, 0.16901875668486885, 0.052156255501972205, 0.016714635933207912, 0.08940802769042379, 0.2053479978944673, 0.2268112550901119, 0.005420414576588502, -0.20173993191226972, -0.03818481625599224, 0.2036330251369712] |
711.2885 | E-dilation of strongly commuting CP-semigroups (the nonunital case) | In a previous paper, we showed that every strongly commuting pair of
CP_0-semigroups on a von Neumann algebra (acting on a separable Hilbert space)
has an E_0-dilation. In this paper we show that if one restricts attention to
the von Neumann algebra B(H) then the unitality assumption can be dropped, that
is, we prove that every pair of strongly commuting CP-semigroups on B(H) has an
E-dilation. The proof is significantly different from the proof for the unital
case, and is based on a construction of Ptak from the 1980's designed
originally for constructing a unitary dilation to a two-parameter contraction
semigroup.
| math.OA | in a previous paper we showed that every strongly commuting pair of cp_0semigroups on a von neumann algebra acting on a separable hilbert space has an e_0dilation in this paper we show that if one restricts attention to the von neumann algebra bh then the unitality assumption can be dropped that is we prove that every pair of strongly commuting cpsemigroups on bh has an edilation the proof is significantly different from the proof for the unital case and is based on a construction of ptak from the 1980s designed originally for constructing a unitary dilation to a twoparameter contraction semigroup | [['in', 'a', 'previous', 'paper', 'we', 'showed', 'that', 'every', 'strongly', 'commuting', 'pair', 'of', 'cp_0semigroups', 'on', 'a', 'von', 'neumann', 'algebra', 'acting', 'on', 'a', 'separable', 'hilbert', 'space', 'has', 'an', 'e_0dilation', 'in', 'this', 'paper', 'we', 'show', 'that', 'if', 'one', 'restricts', 'attention', 'to', 'the', 'von', 'neumann', 'algebra', 'bh', 'then', 'the', 'unitality', 'assumption', 'can', 'be', 'dropped', 'that', 'is', 'we', 'prove', 'that', 'every', 'pair', 'of', 'strongly', 'commuting', 'cpsemigroups', 'on', 'bh', 'has', 'an', 'edilation', 'the', 'proof', 'is', 'significantly', 'different', 'from', 'the', 'proof', 'for', 'the', 'unital', 'case', 'and', 'is', 'based', 'on', 'a', 'construction', 'of', 'ptak', 'from', 'the', '1980s', 'designed', 'originally', 'for', 'constructing', 'a', 'unitary', 'dilation', 'to', 'a', 'twoparameter', 'contraction', 'semigroup']] | [-0.08339386210078374, 0.13551708321348996, -0.12050739334430545, -0.0031294637336395682, -0.09645000394899399, -0.14570954588241875, -0.03513984781922772, 0.3428024510247633, -0.2719493528828025, -0.12945482398848981, 0.1249716442055069, -0.27380966405384244, -0.1376964413188398, 0.25447232821024957, -0.16581170108169319, -0.011804591645486653, 0.11803431176114827, 0.1193816322600469, -0.12858373687602578, -0.2514470176398754, 0.4344644628465176, -0.00013347698375582696, 0.2326967007946223, 0.045173348127864305, 0.12344369953498244, 0.05914368432480842, -0.016085382513701917, 0.02254672889102949, -0.1297339835218736, 0.08944574281573296, 0.2036407097801566, 0.14854730660794302, 0.29789434688165783, -0.3689628911128966, -0.15715132319106487, 0.19887864508666098, 0.11207547661382705, 0.06465842754580081, -0.056167908584757245, -0.2802186205028556, 0.08592805685009808, -0.24967231310904026, -0.05095602991990745, -0.02607070344965905, 0.0863305920548737, -0.062198475738987326, -0.30330366345122456, 0.0303808378521353, 0.15765604387037457, 0.037508260542526844, -0.05753291358239949, -0.010221114959567784, -0.06360661478247494, 0.0492677038256079, -0.05593122065998614, 0.05810024884529412, 0.10260906858718954, 0.006065678673330695, -0.12774604371283205, 0.318271951507777, -0.03506606087379623, -0.2249522553011775, 0.1762276818283135, -0.1743561905482784, -0.17096506272442638, 0.02729639519006014, 0.07920469496399164, 0.11619863144122064, -0.10090619341470301, 0.17980146577057896, -0.16816131243249402, 0.15113124615047127, 0.07684109317138792, -0.01361105727031827, 0.12379669018439017, 0.1005317303352058, 0.12993037000356708, 0.15381463737110607, 0.044621256785467266, -0.04399723397567868, -0.3326041562110186, -0.1917413361024228, -0.21132431015372277, 0.14041646726895124, -0.043131412849616024, -0.1640492445975542, 0.3725373448943719, 0.10305350527865813, 0.19889277546666562, 0.0914484325889498, 0.20182673988863825, 0.12802657177206128, 0.08034838140942156, 0.10640485594514758, 0.18849594264000188, 0.17796455511823298, 0.013864797120913864, -0.18835646687541158, 0.018243616968393325, 0.21633270708844066] |
711.2886 | The Century Survey Galactic Halo Project III: A Complete 4300 deg^2
Survey of Blue Horizontal Branch Stars in the Metal-Weak Thick Disk and Inner
Halo | We present a complete spectroscopic survey of 2414 2MASS-selected blue
horizontal branch (BHB) candidates selected over 4300 deg^2 of the sky. We
identify 655 BHB stars in this non-kinematically selected sample. We calculate
the luminosity function of field BHB stars and find evidence for very few hot
BHB stars in the field. The BHB stars located at a distance from the Galactic
plane |Z|<4 kpc trace what is clearly a metal-weak thick disk population, with
a mean metallicity of [Fe/H]= -1.7, a rotation velocity gradient of
dv_{rot}/d|Z|= -28+-3.4 km/s in the region |Z|<6 kpc, and a density scale
height of h_Z= 1.26+-0.1 kpc. The BHB stars located at 5<|Z|<9 kpc are a
predominantly inner-halo population, with a mean metallicity of [Fe/H]= -2.0
and a mean Galactic rotation of -4+-31 km/s. We infer the density of halo and
thick disk BHB stars is 104+-37 kpc^-3 near the Sun, and the relative
normalization of halo to thick-disk BHB stars is 4+-1% near the Sun.
| astro-ph | we present a complete spectroscopic survey of 2414 2massselected blue horizontal branch bhb candidates selected over 4300 deg2 of the sky we identify 655 bhb stars in this nonkinematically selected sample we calculate the luminosity function of field bhb stars and find evidence for very few hot bhb stars in the field the bhb stars located at a distance from the galactic plane z4 kpc trace what is clearly a metalweak thick disk population with a mean metallicity of feh 17 a rotation velocity gradient of dv_rotdz 2834 kms in the region z6 kpc and a density scale height of h_z 12601 kpc the bhb stars located at 5z9 kpc are a predominantly innerhalo population with a mean metallicity of feh 20 and a mean galactic rotation of 431 kms we infer the density of halo and thick disk bhb stars is 10437 kpc3 near the sun and the relative normalization of halo to thickdisk bhb stars is 41 near the sun | [['we', 'present', 'a', 'complete', 'spectroscopic', 'survey', 'of', '2414', '2massselected', 'blue', 'horizontal', 'branch', 'bhb', 'candidates', 'selected', 'over', '4300', 'deg2', 'of', 'the', 'sky', 'we', 'identify', '655', 'bhb', 'stars', 'in', 'this', 'nonkinematically', 'selected', 'sample', 'we', 'calculate', 'the', 'luminosity', 'function', 'of', 'field', 'bhb', 'stars', 'and', 'find', 'evidence', 'for', 'very', 'few', 'hot', 'bhb', 'stars', 'in', 'the', 'field', 'the', 'bhb', 'stars', 'located', 'at', 'a', 'distance', 'from', 'the', 'galactic', 'plane', 'z4', 'kpc', 'trace', 'what', 'is', 'clearly', 'a', 'metalweak', 'thick', 'disk', 'population', 'with', 'a', 'mean', 'metallicity', 'of', 'feh', '17', 'a', 'rotation', 'velocity', 'gradient', 'of', 'dv_rotdz', '2834', 'kms', 'in', 'the', 'region', 'z6', 'kpc', 'and', 'a', 'density', 'scale', 'height', 'of', 'h_z', '12601', 'kpc', 'the', 'bhb', 'stars', 'located', 'at', '5z9', 'kpc', 'are', 'a', 'predominantly', 'innerhalo', 'population', 'with', 'a', 'mean', 'metallicity', 'of', 'feh', '20', 'and', 'a', 'mean', 'galactic', 'rotation', 'of', '431', 'kms', 'we', 'infer', 'the', 'density', 'of', 'halo', 'and', 'thick', 'disk', 'bhb', 'stars', 'is', '10437', 'kpc3', 'near', 'the', 'sun', 'and', 'the', 'relative', 'normalization', 'of', 'halo', 'to', 'thickdisk', 'bhb', 'stars', 'is', '41', 'near', 'the', 'sun']] | [-0.05996132255355014, 0.11669165813924061, -0.08478366132310586, 0.1187881086024609, -0.13588324375745334, 0.011332794055755286, 0.1268696278124411, 0.43264378970371015, -0.11352874267414578, -0.3830597500929821, -0.02153045765368881, -0.35220362537222194, 0.07213343395792608, 0.16678839170409343, -0.06350348091001262, -0.10671841993904378, 0.04695352982829879, -0.05565428649682457, -0.05758777548429332, -0.266608664435865, 0.2499082491061167, 0.0010531898411108723, 0.11303255506024897, -0.14011972269287945, 0.0769795968102975, -0.18899874671810318, -0.04998750351015714, -0.03050125210805313, -0.22323640232575656, -1.1881562156154762e-05, 0.24702439498439244, 0.14116288349621847, 0.25314658189404615, -0.2148687387637472, -0.154166143729434, 0.007648757804786386, 0.2888211498915253, 0.03512544438089657, -0.09312686169390343, -0.23427997843680692, 0.10701950743596977, -0.16507055973516235, -0.2634959834586546, 0.17604585899676703, 0.06949311494974632, 0.03203676356875067, -0.16902348390910066, 0.18764701471118775, 0.008305590306756844, 0.21583567183653388, -0.0946904752975259, -0.1836190104802858, -0.14305674454898726, 0.01142164455031198, 0.030100582095299245, 0.16519654228475794, 0.23049307275044767, -0.09488353491694478, 0.08105858106275171, 0.35480556666520957, -0.12403620916265476, 0.08003918908512857, 0.1757794352590189, -0.24679228284431598, -0.1315990356058678, 0.1058885425371943, 0.18656906253168995, 0.20756660074237263, -0.16273087019666652, 0.012896781630705028, -0.033202014428775614, 0.2597617745470208, 0.10021192645005693, 0.009879038088565951, 0.39246901058698, 0.047668328962607094, 0.08815606674061546, 0.02507005112291361, -0.40031043799370053, -0.061734130557426076, -0.22191339171243996, -0.07442502672725086, -0.047865689987805965, 0.0981010500860365, -0.22493167558662472, -0.1693078056184127, 0.3250398602030134, 0.08328050633971992, 0.24958432059222244, 0.06114180564668171, 0.26976932760157113, 0.04507814327702869, 0.13984501504787256, 0.23338644753823268, 0.34227856107739896, 0.31095671735238284, 0.04398225707258393, -0.2330351365697747, 0.012958663848782831, -0.026769346743232652] |
711.2887 | Modelling the Global Solar Corona II: Coronal Evolution and Filament
Chirality Comparison | The hemispheric pattern of solar filaments is considered using
newly-developed simulations of the real photospheric and 3D coronal magnetic
fields over a 6-month period, on a global scale. The magnetic field direction
in the simulation is compared directly with the chirality of observed
filaments, at their observed locations. In our model the coronal field evolves
through a continuous sequence of nonlinear force-free equilibria, in response
to the changing photospheric boundary conditions and the emergence of new
magnetic flux. In total 119 magnetic bipoles with properties matching observed
active regions are inserted. These bipoles emerge twisted and inject magnetic
helicity into the solar atmosphere. When we choose the sign of this
active-region helicity to match that observed in each hemisphere, the model
produces the correct chirality for up to 96% of filaments, including exceptions
to the hemispheric pattern. If the emerging bipoles have zero helicity, or
helicity of the opposite sign, then this percentage is much reduced. In
addition, the simulation produces a higher proportion of filaments with the
correct chirality after longer times. This indicates that a key element in the
evolution of the coronal field is its long-term memory, and the build-up and
transport of helicity from low to high latitudes over many months. It
highlights the importance of continuous evolution of the coronal field, rather
than independent extrapolations at different times. This has significant
consequences for future modelling such as that related to the origin and
development of coronal mass ejections.
| astro-ph | the hemispheric pattern of solar filaments is considered using newlydeveloped simulations of the real photospheric and 3d coronal magnetic fields over a 6month period on a global scale the magnetic field direction in the simulation is compared directly with the chirality of observed filaments at their observed locations in our model the coronal field evolves through a continuous sequence of nonlinear forcefree equilibria in response to the changing photospheric boundary conditions and the emergence of new magnetic flux in total 119 magnetic bipoles with properties matching observed active regions are inserted these bipoles emerge twisted and inject magnetic helicity into the solar atmosphere when we choose the sign of this activeregion helicity to match that observed in each hemisphere the model produces the correct chirality for up to 96 of filaments including exceptions to the hemispheric pattern if the emerging bipoles have zero helicity or helicity of the opposite sign then this percentage is much reduced in addition the simulation produces a higher proportion of filaments with the correct chirality after longer times this indicates that a key element in the evolution of the coronal field is its longterm memory and the buildup and transport of helicity from low to high latitudes over many months it highlights the importance of continuous evolution of the coronal field rather than independent extrapolations at different times this has significant consequences for future modelling such as that related to the origin and development of coronal mass ejections | [['the', 'hemispheric', 'pattern', 'of', 'solar', 'filaments', 'is', 'considered', 'using', 'newlydeveloped', 'simulations', 'of', 'the', 'real', 'photospheric', 'and', '3d', 'coronal', 'magnetic', 'fields', 'over', 'a', '6month', 'period', 'on', 'a', 'global', 'scale', 'the', 'magnetic', 'field', 'direction', 'in', 'the', 'simulation', 'is', 'compared', 'directly', 'with', 'the', 'chirality', 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711.2888 | Fast calculation of the electrostatic potential in ionic crystals by
direct summation metho | An efficient real space method is derived for the evaluation of the
Madelung's potential of ionic crystals. The proposed method is an extension of
the Evjen's method. It takes advantage of a general analysis for the potential
convergence in real space. Indeed, we show that the series convergence is
exponential as a function of the number of annulled multipolar momenta in the
unit cell. The method proposed in this work reaches such an exponential
xconvergence rate. Its efficiency is comparable to the Ewald's method, however
unlike the latter, it uses only simple algebraic functions.
| cond-mat.str-el | an efficient real space method is derived for the evaluation of the madelungs potential of ionic crystals the proposed method is an extension of the evjens method it takes advantage of a general analysis for the potential convergence in real space indeed we show that the series convergence is exponential as a function of the number of annulled multipolar momenta in the unit cell the method proposed in this work reaches such an exponential xconvergence rate its efficiency is comparable to the ewalds method however unlike the latter it uses only simple algebraic functions | [['an', 'efficient', 'real', 'space', 'method', 'is', 'derived', 'for', 'the', 'evaluation', 'of', 'the', 'madelungs', 'potential', 'of', 'ionic', 'crystals', 'the', 'proposed', 'method', 'is', 'an', 'extension', 'of', 'the', 'evjens', 'method', 'it', 'takes', 'advantage', 'of', 'a', 'general', 'analysis', 'for', 'the', 'potential', 'convergence', 'in', 'real', 'space', 'indeed', 'we', 'show', 'that', 'the', 'series', 'convergence', 'is', 'exponential', 'as', 'a', 'function', 'of', 'the', 'number', 'of', 'annulled', 'multipolar', 'momenta', 'in', 'the', 'unit', 'cell', 'the', 'method', 'proposed', 'in', 'this', 'work', 'reaches', 'such', 'an', 'exponential', 'xconvergence', 'rate', 'its', 'efficiency', 'is', 'comparable', 'to', 'the', 'ewalds', 'method', 'however', 'unlike', 'the', 'latter', 'it', 'uses', 'only', 'simple', 'algebraic', 'functions']] | [-0.09175936310835507, -0.0034613746590722535, -0.10355517594143748, 0.04900052940913314, -0.04388711551386539, -0.060730778090858265, 0.02858452753001905, 0.35744310133969004, -0.2570453031828789, -0.24601507887406193, 0.06606145794933621, -0.23221233865732085, -0.19177562765189973, 0.2686866277464382, -0.0445768023339991, 0.05298292270352882, 0.037632516456221274, 0.06299245923393122, -0.0654034169527459, -0.27935312734916806, 0.26951299142092466, 0.06087248086734452, 0.311946392213703, 0.0549315374304095, 0.15026915544117597, 0.009122937026879063, 0.0102911199260827, 0.005589699564354859, -0.06972695750213777, 0.1234166371109693, 0.16980387348398243, 0.13539724463075603, 0.314225555420347, -0.3622571149658736, -0.19308877161339574, 0.11200212949441503, 0.16980698849479464, 0.10313700256950181, -0.05993397762421924, -0.21222076429378078, 0.0920747795101741, -0.18319094051485477, -0.14272625949841156, -0.12302401446251442, 0.007574447334501083, 0.027869760783885242, -0.3085495416560899, 0.062005433949905084, 0.08360476520560357, 0.03626659009656261, -0.0879922193568706, -0.10502346978350745, 0.01967680402626486, 0.09271466444023764, 0.04622263319628394, 0.06306996604468187, 0.10405062390592597, -0.08623979857910181, -0.08133097239972456, 0.37073890823344496, -0.0712552635282602, -0.23693267055078532, 0.1635165239517253, -0.13629146060987335, -0.10044512213916397, 0.1729610438823052, 0.137009465996095, 0.1626072631865416, -0.10173015802612771, 0.12982919376404228, -0.05837799616805885, 0.14674029369210906, 0.015427808601247229, -0.003399462737117732, 0.10705338028745483, 0.20823858215210392, 0.091562672133517, 0.14959745546397957, -0.08202566846739501, -0.10687052476746232, -0.3026792085122155, -0.22431998495923597, -0.26133459013805765, -0.02582200188265668, -0.1346960192933456, -0.18803984424828188, 0.4090019390290684, 0.13328121173317017, 0.17060861672760677, 0.06874100170503168, 0.34086246258052794, 0.15832612179498107, 0.0824266605069051, 0.04412250111240808, 0.21965281531700623, 0.10545729259383338, 0.09568660747786255, -0.24931111404894973, 0.05964414541528601, 0.09445040293402322] |
711.2889 | Dissipation in the very early stage of the hydrodynamic evolution in
relativistic heavy ion collisions | We propose a modification of the hydrodynamic model of the dynamics in
ultrarelativistic nuclear collisions. A modification of the energy-momentum
tensor at the initial stage describes the lack of isotropization of the
pressure. Subsequently, the pressure is relaxing towards the equilibrium
isotropic form in the local comoving frame. Within the Bjorken scaling solution
a bound is found on the decay time of the initial anisotropy of the
energy-momentum tensor. For the strongest dissipative effect allowed, we find a
relative entropy increase of about 30%, a significant hardening of the
transverse momentum spectra, and no effect on the HBT radii.
| nucl-th | we propose a modification of the hydrodynamic model of the dynamics in ultrarelativistic nuclear collisions a modification of the energymomentum tensor at the initial stage describes the lack of isotropization of the pressure subsequently the pressure is relaxing towards the equilibrium isotropic form in the local comoving frame within the bjorken scaling solution a bound is found on the decay time of the initial anisotropy of the energymomentum tensor for the strongest dissipative effect allowed we find a relative entropy increase of about 30 a significant hardening of the transverse momentum spectra and no effect on the hbt radii | [['we', 'propose', 'a', 'modification', 'of', 'the', 'hydrodynamic', 'model', 'of', 'the', 'dynamics', 'in', 'ultrarelativistic', 'nuclear', 'collisions', 'a', 'modification', 'of', 'the', 'energymomentum', 'tensor', 'at', 'the', 'initial', 'stage', 'describes', 'the', 'lack', 'of', 'isotropization', 'of', 'the', 'pressure', 'subsequently', 'the', 'pressure', 'is', 'relaxing', 'towards', 'the', 'equilibrium', 'isotropic', 'form', 'in', 'the', 'local', 'comoving', 'frame', 'within', 'the', 'bjorken', 'scaling', 'solution', 'a', 'bound', 'is', 'found', 'on', 'the', 'decay', 'time', 'of', 'the', 'initial', 'anisotropy', 'of', 'the', 'energymomentum', 'tensor', 'for', 'the', 'strongest', 'dissipative', 'effect', 'allowed', 'we', 'find', 'a', 'relative', 'entropy', 'increase', 'of', 'about', '30', 'a', 'significant', 'hardening', 'of', 'the', 'transverse', 'momentum', 'spectra', 'and', 'no', 'effect', 'on', 'the', 'hbt', 'radii']] | [-0.17049755410037257, 0.1690404234933808, -0.1640580465912471, 0.05001653832232937, -0.023466544402198808, -0.03646056316887038, -0.036501915438683946, 0.2993988621923508, -0.24084469537260106, -0.2659036270860169, 0.0019950333399453546, -0.2721202119883865, 0.0007196887575014673, 0.10296400524156975, 0.06109750074060088, 0.03493053346608925, 0.049175173888509775, 0.06219995770641048, -0.11154214228324667, -0.15271302409507712, 0.349485440805291, 0.13622587851267495, 0.28666253047383794, 0.10037485107948835, 0.11615837017318817, -0.0029888400582201552, -0.03646373532411426, 0.05351771894522538, -0.14526550770934785, 0.043133273944458594, 0.1466593381400794, 0.04583236072776896, 0.25876014532446107, -0.3968189984108462, -0.17856794971069603, 0.08741548681405908, 0.09611706022699976, 0.16260188543284781, -0.04482716444357665, -0.20178616238814412, 0.036845522669303896, -0.21086217521341763, -0.15589693647743474, -0.018238481792687167, 0.04961635520437149, -0.007256109963613327, -0.2646646164828027, 0.19549173432769198, 0.06848752158824789, 0.0243158314866249, -0.13167645322215377, -0.09614187165756118, -0.045247746645614054, 0.03168438534449899, 0.07536800464055492, 0.03986013332626434, 0.18375769965915065, -0.16315688071607828, -0.023191801366405657, 0.404029289107638, -0.08455045602162077, -0.16789710737360322, 0.13311228543670492, -0.1771593509157273, -0.09252681339517085, 0.15126769871667328, 0.20071844918526371, 0.1037179838602591, -0.13743129588964612, 0.04526733474352049, -0.014027235959538946, 0.17827390781556718, 0.08443921288202583, 0.02992637597866394, 0.2140188669277863, 0.14262325384400107, 0.020773600382410516, 0.15597534651933898, -0.10624415942966337, -0.11051903126968278, -0.3817875339953003, -0.14583221233668597, -0.17243104424289982, 0.10121722648277728, -0.16229783745486678, -0.11846472797068683, 0.3870159948804425, 0.11679452331501501, 0.22274013270148912, 0.024026890322942324, 0.28110578962874533, 0.09449402166699822, 0.07007785186623082, 0.1287843171939856, 0.34672398830415924, 0.16707877714817196, 0.1826893546420968, -0.3214539785756532, 0.07401240927948043, 0.06542752309222565] |
711.289 | Hard supersymmetry-breaking "wrong-Higgs" couplings of the MSSM | In the minimal supersymmetric extension of the Standard Model (MSSM), if the
two Higgs doublets are lighter than some subset of the superpartners of the
Standard Model particles, then it is possible to integrate out the heavy states
to obtain an effective broken-supersymmetric low-energy Lagrangian. This
Lagrangian can contain dimension-four gauge invariant Higgs interactions that
violate supersymmetry (SUSY). The "wrong-Higgs" Yukawa couplings generated by
one-loop radiative corrections are a well known example of this phenomenon. In
this paper, we examine gauge invariant gaugino--higgsino--Higgs boson
interactions that violate supersymmetry. Such wrong-Higgs gaugino couplings can
be generated in models of gauge-mediated SUSY-breaking in which some of the
messenger fields couple to the MSSM Higgs bosons. In regions of parameter space
where the messenger scale is low and tan(beta) is large, these hard
SUSY-breaking operators yield tan(beta)-enhanced corrections to tree-level
supersymmetric relations in the chargino and neutralino sectors that can be as
large as 20%. We demonstrate how physical observables in the chargino sector
can be used to isolate the tan(beta)-enhanced effects derived from the
wrong-Higgs gaugino operators.
| hep-ph hep-th | in the minimal supersymmetric extension of the standard model mssm if the two higgs doublets are lighter than some subset of the superpartners of the standard model particles then it is possible to integrate out the heavy states to obtain an effective brokensupersymmetric lowenergy lagrangian this lagrangian can contain dimensionfour gauge invariant higgs interactions that violate supersymmetry susy the wronghiggs yukawa couplings generated by oneloop radiative corrections are a well known example of this phenomenon in this paper we examine gauge invariant gauginohiggsinohiggs boson interactions that violate supersymmetry such wronghiggs gaugino couplings can be generated in models of gaugemediated susybreaking in which some of the messenger fields couple to the mssm higgs bosons in regions of parameter space where the messenger scale is low and tanbeta is large these hard susybreaking operators yield tanbetaenhanced corrections to treelevel supersymmetric relations in the chargino and neutralino sectors that can be as large as 20 we demonstrate how physical observables in the chargino sector can be used to isolate the tanbetaenhanced effects derived from the wronghiggs gaugino operators | [['in', 'the', 'minimal', 'supersymmetric', 'extension', 'of', 'the', 'standard', 'model', 'mssm', 'if', 'the', 'two', 'higgs', 'doublets', 'are', 'lighter', 'than', 'some', 'subset', 'of', 'the', 'superpartners', 'of', 'the', 'standard', 'model', 'particles', 'then', 'it', 'is', 'possible', 'to', 'integrate', 'out', 'the', 'heavy', 'states', 'to', 'obtain', 'an', 'effective', 'brokensupersymmetric', 'lowenergy', 'lagrangian', 'this', 'lagrangian', 'can', 'contain', 'dimensionfour', 'gauge', 'invariant', 'higgs', 'interactions', 'that', 'violate', 'supersymmetry', 'susy', 'the', 'wronghiggs', 'yukawa', 'couplings', 'generated', 'by', 'oneloop', 'radiative', 'corrections', 'are', 'a', 'well', 'known', 'example', 'of', 'this', 'phenomenon', 'in', 'this', 'paper', 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711.2891 | Asymmetric Fermi Superfluid With Two Types Of Pairings | We investigate the phase diagram in the plane of temperature and chemical
potential mismatch for an asymmetric fermion superfluid with double- and
single-species pairings. There is no mixing of these two types of pairings at
fixed chemical potential, but the introduction of the single species pairing
cures the magnetic instability at low temperature.
| cond-mat.supr-con cond-mat.mes-hall | we investigate the phase diagram in the plane of temperature and chemical potential mismatch for an asymmetric fermion superfluid with double and singlespecies pairings there is no mixing of these two types of pairings at fixed chemical potential but the introduction of the single species pairing cures the magnetic instability at low temperature | [['we', 'investigate', 'the', 'phase', 'diagram', 'in', 'the', 'plane', 'of', 'temperature', 'and', 'chemical', 'potential', 'mismatch', 'for', 'an', 'asymmetric', 'fermion', 'superfluid', 'with', 'double', 'and', 'singlespecies', 'pairings', 'there', 'is', 'no', 'mixing', 'of', 'these', 'two', 'types', 'of', 'pairings', 'at', 'fixed', 'chemical', 'potential', 'but', 'the', 'introduction', 'of', 'the', 'single', 'species', 'pairing', 'cures', 'the', 'magnetic', 'instability', 'at', 'low', 'temperature']] | [-0.2144462820098577, 0.247742573214741, -0.050906816884031834, 0.059433521362425724, 0.002211596087535035, -0.1541681178265585, 0.11324287402742314, 0.3510488732805792, -0.2603265797051619, -0.2833695925842479, -0.007748269706630622, -0.2769007760469081, -0.09162734872397948, 0.1126802117686789, 0.06220593742745103, -0.054752928819858805, -0.06067723441728443, 0.028788050355495146, -0.13622763450696784, -0.23554380022852575, 0.3995572469408079, -0.009006805195174408, 0.2859656984021641, 0.1170798309569089, 0.01443014073378916, -0.00948373976005417, 0.03509566673727812, -0.03692725325389853, -0.15215068851720612, -0.02582145434856977, 0.19810893688842934, -0.0562894843378157, 0.14467739398187063, -0.3841949520316326, -0.23839531589369728, 0.16822771000552852, 0.13583589612313038, 0.16253507773409476, -0.1428563550887805, -0.1807103155901269, -0.0034354674840732565, -0.18378005746119427, -0.19093991179932962, -0.05042358134644774, 0.023263034393202583, 0.01809136520298022, -0.241724410410619, 0.09790050988700592, 0.022150102686488402, 0.1358614086507345, -0.07052506272129733, -0.1837944020605031, -0.10775798965983514, 0.08564259766442876, 0.034130519374607586, 0.03668967064224043, 0.09035824650771178, -0.17068715743228513, -0.0411745549513484, 0.34391899659948527, -0.07083219307351787, -0.12214189927743853, 0.2554871535174689, -0.12031124088526615, -0.099658348716198, 0.16227281966931978, 0.087948469251816, 0.04036116742370826, -0.11524507955138413, 0.06840929788161719, 0.025095865024991754, 0.12195966045266755, 0.08602300138687188, 0.022752556490782155, 0.3050187807881607, 0.19333014897299264, 0.04762136795610752, 0.10498919183353209, -0.12492968009363087, -0.12264088732805455, -0.2924457017402604, -0.13618668851020904, -0.124507662693021, -0.05007969245384886, -0.08740250677483175, -0.22516513710736102, 0.3991685422699688, 0.11693447962829422, 0.20023284425502116, -0.06955936312113169, 0.2798668280428381, 0.11281889453003148, 0.07899984439180391, 0.0005570564875906368, 0.21437537471570497, 0.16765732551872167, 0.11941081211673764, -0.34013687180495766, 0.029312824443826137, 0.03628751953606898] |
711.2892 | Algorithm to estimate the Hurst exponent of high-dimensional fractals | We propose an algorithm to estimate the Hurst exponent of high-dimensional
fractals, based on a generalized high-dimensional variance around a moving
average low-pass filter. As working examples, we consider rough surfaces
generated by the Random Midpoint Displacement and by the Cholesky-Levinson
Factorization algorithms. The surrogate surfaces have Hurst exponents ranging
from 0.1 to 0.9 with step 0.1, and different sizes. The computational
efficiency and the accuracy of the algorithm are also discussed.
| cond-mat.stat-mech | we propose an algorithm to estimate the hurst exponent of highdimensional fractals based on a generalized highdimensional variance around a moving average lowpass filter as working examples we consider rough surfaces generated by the random midpoint displacement and by the choleskylevinson factorization algorithms the surrogate surfaces have hurst exponents ranging from 01 to 09 with step 01 and different sizes the computational efficiency and the accuracy of the algorithm are also discussed | [['we', 'propose', 'an', 'algorithm', 'to', 'estimate', 'the', 'hurst', 'exponent', 'of', 'highdimensional', 'fractals', 'based', 'on', 'a', 'generalized', 'highdimensional', 'variance', 'around', 'a', 'moving', 'average', 'lowpass', 'filter', 'as', 'working', 'examples', 'we', 'consider', 'rough', 'surfaces', 'generated', 'by', 'the', 'random', 'midpoint', 'displacement', 'and', 'by', 'the', 'choleskylevinson', 'factorization', 'algorithms', 'the', 'surrogate', 'surfaces', 'have', 'hurst', 'exponents', 'ranging', 'from', '01', 'to', '09', 'with', 'step', '01', 'and', 'different', 'sizes', 'the', 'computational', 'efficiency', 'and', 'the', 'accuracy', 'of', 'the', 'algorithm', 'are', 'also', 'discussed']] | [-0.03782409289195924, 0.10229409456726092, -0.08962521092100463, 0.05458559712368838, -0.02633306509110106, -0.1635826970253822, 0.03973550342218491, 0.4362252911595418, -0.28833400311184604, -0.30355668654271833, 0.1348406238658485, -0.2828366357511775, -0.1567473053205824, 0.22950490421130204, -0.11090121620242864, 0.1547856042883031, 0.016061189925481736, -0.013771268945764487, -0.07676272079820784, -0.2526479322155019, 0.26963711026268944, 0.04698271704936059, 0.2437658144397215, -0.05780974080995985, 0.13862978239399446, -0.003815861253238375, -0.06267445450517493, 0.039333495140915185, -0.19189914853089082, 0.14435889935252114, 0.18260238361610492, 0.03292538340426457, 0.33280203096948985, -0.3304058505930531, -0.2058469467783268, 0.09732747492118096, 0.1273459545467836, 0.035102614909935166, -0.021425468133906767, -0.30663621677479275, 0.08378536829685557, -0.12246651685153934, -0.11706712945613643, -0.06171399098103637, 0.028576720951938292, 0.07326575872344031, -0.2954101863671357, 0.12150963308891399, 0.03777378005466283, 0.09423889127940359, -0.018087721226448323, -0.17675314430462222, 0.011150001587582305, 0.09360256669780528, 0.026403411755561303, 0.00231164169799484, 0.16623136942917613, -0.07390422653406858, -0.16634839164539122, 0.3445197596726283, -0.03455652502483465, -0.261213533685241, 0.16404602653346956, -0.12389479269286696, -0.085548498812066, 0.17383835969728903, 0.25743893737507934, 0.10940605475449226, -0.11643715714379935, 0.07582978709866489, 0.018793847880811548, 0.17570923073348446, 0.08408129702545178, -0.02790436547406962, 0.08819494273146274, 0.15431173903946305, 0.08862304912132382, 0.15077819360393874, -0.18044064436960494, -0.10166019567085141, -0.2746870513270858, -0.13848001561062018, -0.23979928119527832, 0.021466354406635527, -0.2461275249831526, -0.17006378101421074, 0.36692602486467696, 0.17913904529012425, 0.23314015929337958, 0.14026978807597631, 0.25039832131333756, 0.16046453597069993, 0.0026074010931270222, 0.09559373387043744, 0.14863796824996006, 0.10210557083245105, 0.07833079377871374, -0.1598810192925567, 0.035830476072052836, 0.1157837096359056] |
711.2893 | The Method of Normalized Correlations - A Fast Alternative to Maximum
Likelihood Estimation for Random Processes and Isotropic Random Fields with
Short-Range Dependence | This paper has been withdrawn by the authors, due the copyright policy of the
journal it has been submited to.
| stat.CO stat.ME | this paper has been withdrawn by the authors due the copyright policy of the journal it has been submited to | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'authors', 'due', 'the', 'copyright', 'policy', 'of', 'the', 'journal', 'it', 'has', 'been', 'submited', 'to']] | [-0.06733408831059932, -0.048035893228370694, -0.1639716148376465, -0.07098664383520373, -0.15739344600588084, -0.055837749224156144, 0.02830398264923133, 0.3477208148688078, -0.2305957871256396, -0.3657486762851477, 0.15527630243450402, -0.31257675411179664, -0.15087116975337267, 0.08472724677994847, -0.30407463824376463, 0.151831972040236, -0.019028787175193428, -0.015069055370986462, 0.05737550798803568, -0.3794697476318106, 0.2899651052430272, 0.18176270332187414, 0.3322783851996064, 0.2062464907532558, 0.05151190496981144, -0.10068095959722996, -0.13706392291933298, 0.014360341429710387, -0.14125078562647103, 0.08751742783933877, 0.26354033276438715, 0.1184636460384354, 0.474571355804801, -0.34850525949150324, -0.24684857339598237, 0.14978834150824696, 0.12810371313244104, 0.15674830907955767, -0.07174079678952694, -0.38704876862466336, 0.1993546451907605, -0.34926115702837707, -0.05580716396216303, -0.014800834935158491, 0.1736027187667787, -0.09311632732860745, -0.08025733544491231, 0.006507298862561584, 0.12141740750521421, 0.13612937971483915, 0.05903696953319013, -0.16345275091007352, 0.021833790559321643, 0.1732280733063817, 0.22991190252359955, 0.11297551349271089, 0.014568409975618124, -0.0822651611524634, -0.12338342061266303, 0.4112146206200123, 0.10976004619151354, -0.17622286898549647, 0.12523667979985476, -0.020030039292760194, -0.13394410386681557, 0.1406395273283124, 0.18973009567707777, 0.029010649141855537, -0.27580307684838773, 0.26909998804330826, -0.11999031244777143, 0.13014386016875507, 0.2178023009095341, -0.04207292702049017, 0.09273533634841442, 0.12191478163003922, 0.028687057178467514, 0.16793604048434646, -0.029536373168230056, -0.024144487734884024, -0.10592734515666961, -0.1902311835438013, -0.23560532983392476, 0.054866190534085035, 0.19464873978868127, -0.08252067533321679, 0.42334329187870023, 0.1479692206485197, 0.04461577674373984, -0.16377603095024823, 0.2831511711701751, 0.18028878815821373, 0.1605214194394648, 0.052236197702586654, 0.35350131448358296, 0.08873648905428126, 0.2647461901418865, -0.08244420550763606, 0.2675429633120075, 0.11484405174851417] |
711.2894 | On the elastic moduli of two-dimensional assemblies of disks: relevance
and modeling of fluctuations in particle displacements and rotations | We determine the elastic moduli of two-dimensional assemblies of disks by
computer simulations. The disks interact through elastic contact forces, that
oppose the relative displacement at the contact points by means of a normal and
a tangential stiffness, both taken constant. Our simulations confirm that the
uniform strain assumption results in inaccurate predictions of the elastic
moduli, since large fluctuations in particle displacements and rotations occur.
We phrase their contribution in terms of the relative displacement they induce
at the contact points. We show that the fluctuations that determine the
equivalent continuum behavior depend on the average geometry of the assembly.
We further separate the contributions from the center displacement and the
particle rotation. The fluctuations result in a relaxation of the system, but
along the tangential direction the relaxation is generally entirely due to
rotations. We consider two theoretical formulations for predicting the elastic
moduli that include the fluctuations, namely the ``pair-fluctuation'' and the
``particle-fluctuation'' method. They are both based on the equilibrium of a
small subassembly, which is considered representative of the average structure.
We investigate the corresponding predictions of the elastic moduli over a range
of coordination numbers and of ratios between tangential and normal stiffness.
We find a significant improvement with respect to the uniform strain theory.
Furthermore, the dependence of the fluctuations on coordination number and
ratio of tangential to normal stiffness is qualitatively captured.
| cond-mat.mtrl-sci | we determine the elastic moduli of twodimensional assemblies of disks by computer simulations the disks interact through elastic contact forces that oppose the relative displacement at the contact points by means of a normal and a tangential stiffness both taken constant our simulations confirm that the uniform strain assumption results in inaccurate predictions of the elastic moduli since large fluctuations in particle displacements and rotations occur we phrase their contribution in terms of the relative displacement they induce at the contact points we show that the fluctuations that determine the equivalent continuum behavior depend on the average geometry of the assembly we further separate the contributions from the center displacement and the particle rotation the fluctuations result in a relaxation of the system but along the tangential direction the relaxation is generally entirely due to rotations we consider two theoretical formulations for predicting the elastic moduli that include the fluctuations namely the pairfluctuation and the particlefluctuation method they are both based on the equilibrium of a small subassembly which is considered representative of the average structure we investigate the corresponding predictions of the elastic moduli over a range of coordination numbers and of ratios between tangential and normal stiffness we find a significant improvement with respect to the uniform strain theory furthermore the dependence of the fluctuations on coordination number and ratio of tangential to normal stiffness is qualitatively captured | [['we', 'determine', 'the', 'elastic', 'moduli', 'of', 'twodimensional', 'assemblies', 'of', 'disks', 'by', 'computer', 'simulations', 'the', 'disks', 'interact', 'through', 'elastic', 'contact', 'forces', 'that', 'oppose', 'the', 'relative', 'displacement', 'at', 'the', 'contact', 'points', 'by', 'means', 'of', 'a', 'normal', 'and', 'a', 'tangential', 'stiffness', 'both', 'taken', 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711.2895 | Cryptography from Noisy Storage | We show how to implement cryptographic primitives based on the realistic
assumption that quantum storage of qubits is noisy. We thereby consider
individual-storage attacks, i.e. the dishonest party attempts to store each
incoming qubit separately. Our model is similar to the model of bounded-quantum
storage, however, we consider an explicit noise model inspired by present-day
technology. To illustrate the power of this new model, we show that a protocol
for oblivious transfer (OT) is secure for any amount of quantum-storage noise,
as long as honest players can perform perfect quantum operations. Our model
also allows the security of protocols that cope with noise in the operations of
the honest players and achieve more advanced tasks such as secure
identification.
| quant-ph cs.CR | we show how to implement cryptographic primitives based on the realistic assumption that quantum storage of qubits is noisy we thereby consider individualstorage attacks ie the dishonest party attempts to store each incoming qubit separately our model is similar to the model of boundedquantum storage however we consider an explicit noise model inspired by presentday technology to illustrate the power of this new model we show that a protocol for oblivious transfer ot is secure for any amount of quantumstorage noise as long as honest players can perform perfect quantum operations our model also allows the security of protocols that cope with noise in the operations of the honest players and achieve more advanced tasks such as secure identification | [['we', 'show', 'how', 'to', 'implement', 'cryptographic', 'primitives', 'based', 'on', 'the', 'realistic', 'assumption', 'that', 'quantum', 'storage', 'of', 'qubits', 'is', 'noisy', 'we', 'thereby', 'consider', 'individualstorage', 'attacks', 'ie', 'the', 'dishonest', 'party', 'attempts', 'to', 'store', 'each', 'incoming', 'qubit', 'separately', 'our', 'model', 'is', 'similar', 'to', 'the', 'model', 'of', 'boundedquantum', 'storage', 'however', 'we', 'consider', 'an', 'explicit', 'noise', 'model', 'inspired', 'by', 'presentday', 'technology', 'to', 'illustrate', 'the', 'power', 'of', 'this', 'new', 'model', 'we', 'show', 'that', 'a', 'protocol', 'for', 'oblivious', 'transfer', 'ot', 'is', 'secure', 'for', 'any', 'amount', 'of', 'quantumstorage', 'noise', 'as', 'long', 'as', 'honest', 'players', 'can', 'perform', 'perfect', 'quantum', 'operations', 'our', 'model', 'also', 'allows', 'the', 'security', 'of', 'protocols', 'that', 'cope', 'with', 'noise', 'in', 'the', 'operations', 'of', 'the', 'honest', 'players', 'and', 'achieve', 'more', 'advanced', 'tasks', 'such', 'as', 'secure', 'identification']] | [-0.15420354998173808, 0.05375987563820672, -0.06860307940073183, 0.06283995790752293, -0.024740712717175484, -0.2924025468488127, 0.10316141372434152, 0.3953730378195579, -0.2723132811872096, -0.31813304330190195, 0.0836286648720551, -0.24319748250290385, -0.13633126315283428, 0.2058020394419898, -0.17523271488005712, 0.10889506197117012, 0.05086543862226194, 0.044107150864498366, -0.00032998602797180927, -0.31001245716369935, 0.31319797183472287, 0.07584993172324551, 0.283174695093827, -0.010798251822366026, 0.1093528975475708, 0.03274708010400806, -0.014582404629969648, -0.07322080218201053, -0.07261816088549526, 0.09921537790897078, 0.285895548423688, 0.18343012989900107, 0.2911197501716429, -0.4757407076078756, -0.20368232987499957, 0.12496675069219079, 0.09375105029903352, 0.19166972263764334, -0.029650703042064158, -0.27108346383440596, 0.10880925895742558, -0.2622365002391924, -0.052992647313031147, -0.1357196971396755, -0.01988962908869545, 0.010151001515372753, -0.31185928685590625, -0.006378580771179886, 0.0657385226403331, 0.009700708906166255, 0.01945619382203059, -0.009847671756970471, 0.020134615173948735, 0.19505811562352204, -0.03796840680397822, -0.026738726639325312, 0.16998857286244887, -0.13699342119146202, -0.20249885158484865, 0.35781792120140943, -0.017490677944994693, -0.17986623701992735, 0.14686211355729029, -0.029356944523270017, -0.13762670480806766, 0.029295746782987284, 0.18597839984456718, 0.09218486250731452, -0.13728986185140393, 0.04855518316767773, -0.05287469898607453, 0.2594849809899862, 0.02709973383903632, 0.11172740949430214, 0.13728992639366408, 0.13421817512074807, 0.1339495681097795, 0.1676007424930817, -0.04201702968867753, -0.14182942715505586, -0.26732747364038567, -0.1744575716137629, -0.20701018538615057, 0.07990486140298689, -0.06009448687372838, -0.10577081602090842, 0.3444342292395645, 0.24795354537942832, 0.16656824487967994, 0.0689200433934557, 0.44072110738990633, 0.04072551421945561, 0.07312633700925729, 0.12843498661873284, 0.18214430401487083, 0.056763876072966075, 0.09128825926494881, -0.18142884363950199, 0.1364270109956249, -0.04160435302990914] |
711.2896 | Room Temperature Magnetocaloric Effect in Ni-Mn-In | We have studied the effect of magnetic field on a non-stoichiometric Heusler
alloy Ni$_{50}$Mn$_{35}$In$_{15}$ that undergoes a martensitic as well as a
magnetic transition near room temperature. Temperature dependent magnetization
measurements demonstrate the influence of magnetic field on the structural
phase transition temperature. From the study of magnetization as a function of
applied field, we show the occurrence of inverse-magnetocaloric effect
associated with this magneto-structural transition. The magnetic entropy change
attains a value as high as 25 J/kg-K (at 5 T field) at room temperature as the
alloy transforms from the austenitic to martensitic phase with a concomitant
magnetic ordering.
| cond-mat.mtrl-sci | we have studied the effect of magnetic field on a nonstoichiometric heusler alloy ni_50mn_35in_15 that undergoes a martensitic as well as a magnetic transition near room temperature temperature dependent magnetization measurements demonstrate the influence of magnetic field on the structural phase transition temperature from the study of magnetization as a function of applied field we show the occurrence of inversemagnetocaloric effect associated with this magnetostructural transition the magnetic entropy change attains a value as high as 25 jkgk at 5 t field at room temperature as the alloy transforms from the austenitic to martensitic phase with a concomitant magnetic ordering | [['we', 'have', 'studied', 'the', 'effect', 'of', 'magnetic', 'field', 'on', 'a', 'nonstoichiometric', 'heusler', 'alloy', 'ni_50mn_35in_15', 'that', 'undergoes', 'a', 'martensitic', 'as', 'well', 'as', 'a', 'magnetic', 'transition', 'near', 'room', 'temperature', 'temperature', 'dependent', 'magnetization', 'measurements', 'demonstrate', 'the', 'influence', 'of', 'magnetic', 'field', 'on', 'the', 'structural', 'phase', 'transition', 'temperature', 'from', 'the', 'study', 'of', 'magnetization', 'as', 'a', 'function', 'of', 'applied', 'field', 'we', 'show', 'the', 'occurrence', 'of', 'inversemagnetocaloric', 'effect', 'associated', 'with', 'this', 'magnetostructural', 'transition', 'the', 'magnetic', 'entropy', 'change', 'attains', 'a', 'value', 'as', 'high', 'as', '25', 'jkgk', 'at', '5', 't', 'field', 'at', 'room', 'temperature', 'as', 'the', 'alloy', 'transforms', 'from', 'the', 'austenitic', 'to', 'martensitic', 'phase', 'with', 'a', 'concomitant', 'magnetic', 'ordering']] | [-0.13363506523845248, 0.263854680488808, -0.03809284142246752, -0.027376607658971815, -0.04031665864014866, -0.057690789970108354, 0.11094477392657838, 0.39953318516714403, -0.25676254250786523, -0.34500797828565344, 0.07410302171671782, -0.3004140482481682, -0.11369995824108371, 0.16620835268663037, 0.08923519882514622, -0.0071357402367272765, -0.09589120591379176, 0.09501874045647606, -0.19563460069463937, -0.15201451670792368, 0.2749977459510167, 0.03932997843984402, 0.31305782956005346, 0.0859665765775123, 0.09970126972260951, -0.03491358910935679, 0.20732394026385415, 0.11294349672442133, -0.15183320617330592, -0.11462752440135286, 0.2140434126962315, -0.07532073835832905, 0.19647176489422116, -0.37787310718887984, -0.23708483633218388, 0.025416028424815246, 0.05051863907761119, 0.1137569137576102, -0.12160858276977458, -0.23533947916343959, 0.04996137775838225, -0.08699900504775496, -0.08792816487263248, -0.11150352172365394, -0.025694329155176276, 0.0034089637708596206, -0.27673280079181145, 0.13653085326230285, 0.08689514649773224, 0.20290899598463016, -0.1477709310223358, -0.14736496367858667, -0.10346058317968114, 0.031006529211711063, 0.07909047898878767, 0.15366310142968415, 0.2465358036593769, -0.07558174741059316, -0.0962478361760426, 0.35736651423227306, -0.09967918592420491, 0.039395187097140634, 0.11164016640660437, -0.2350787323043503, -0.09435081600465557, 0.1996926135534063, 0.16137388467111372, 0.10978613711065716, -0.10548605270345103, 0.07341944985091686, 0.08939333290162713, 0.18199729407676543, 0.0633559715957616, 0.029588182141646893, 0.25816080037673766, 0.22785429069490143, 0.0020115900516622896, 0.23795527308200948, -0.14547207873053566, -0.028538868113449127, -0.22303497907470424, -0.1893539558437587, -0.21868191852300156, 0.08334181225397672, -0.1219489217895751, -0.2614503086949087, 0.3802310601159027, 0.1926017337187071, 0.21522733828786647, -0.05175558351582349, 0.21122826956979215, 0.10835509959048582, 0.07642982830999023, 0.00627947123156804, 0.23225352736284036, 0.2475407748516047, 0.23316991345185523, -0.3258269069048416, 0.12614461845445513, -0.010980863632126288] |
711.2897 | Estimation of fuzzy anomalies in Water Distribution Systems | State estimation is necessary in diagnosing anomalies in Water Demand Systems
(WDS). In this paper we present a neural network performing such a task. State
estimation is performed by using optimization, which tries to reconcile all the
available information. Quantification of the uncertainty of the input data
(telemetry measures and demand predictions) can be achieved by means of robust
estate estimation. Using a mathematical model of the network, fuzzy estimated
states for anomalous states of the network can be obtained. They are used to
train a neural network capable of assessing WDS anomalies associated with
particular sets of measurements.
| cs.NE | state estimation is necessary in diagnosing anomalies in water demand systems wds in this paper we present a neural network performing such a task state estimation is performed by using optimization which tries to reconcile all the available information quantification of the uncertainty of the input data telemetry measures and demand predictions can be achieved by means of robust estate estimation using a mathematical model of the network fuzzy estimated states for anomalous states of the network can be obtained they are used to train a neural network capable of assessing wds anomalies associated with particular sets of measurements | [['state', 'estimation', 'is', 'necessary', 'in', 'diagnosing', 'anomalies', 'in', 'water', 'demand', 'systems', 'wds', 'in', 'this', 'paper', 'we', 'present', 'a', 'neural', 'network', 'performing', 'such', 'a', 'task', 'state', 'estimation', 'is', 'performed', 'by', 'using', 'optimization', 'which', 'tries', 'to', 'reconcile', 'all', 'the', 'available', 'information', 'quantification', 'of', 'the', 'uncertainty', 'of', 'the', 'input', 'data', 'telemetry', 'measures', 'and', 'demand', 'predictions', 'can', 'be', 'achieved', 'by', 'means', 'of', 'robust', 'estate', 'estimation', 'using', 'a', 'mathematical', 'model', 'of', 'the', 'network', 'fuzzy', 'estimated', 'states', 'for', 'anomalous', 'states', 'of', 'the', 'network', 'can', 'be', 'obtained', 'they', 'are', 'used', 'to', 'train', 'a', 'neural', 'network', 'capable', 'of', 'assessing', 'wds', 'anomalies', 'associated', 'with', 'particular', 'sets', 'of', 'measurements']] | [-0.1094892159885741, 0.07016543657377813, -0.05587779444576514, 0.09896031326633135, -0.058639283268477276, -0.16754816397271974, 0.08381743151153616, 0.36997711215394014, -0.2426586090540043, -0.3315898174316519, 0.14530806584551817, -0.2924494983374395, -0.151357361588232, 0.19268238282235658, -0.11896644319605196, 0.1529009609784216, 0.14438190615284396, 0.035303599330493145, -0.04422239264628539, -0.21922671789246978, 0.3061448305826446, 0.045009460177912256, 0.29770989814829646, -0.005724527341586472, 0.12425898021261085, -0.030210140544563682, -0.045575585794832674, 0.04511972277359379, -0.08103824347596277, 0.17679638893818578, 0.3300176571603074, 0.19940626273411466, 0.26983042283341135, -0.4554241705648225, -0.2779259140593837, 0.13531447980891576, 0.11634389367989367, 0.09643726751109528, 0.011261923188070833, -0.3221225418300942, 0.059748334678435565, -0.1831335771330303, -0.054725393375400645, -0.14444268571043556, -0.037901232564690135, -0.017070625586472828, -0.3248697562952234, 0.0582680435653663, -0.008595195961081319, 0.061660708944228565, -0.07218126615631686, -0.08746358555167763, -0.031814945513627145, 0.16675047922616054, 0.002919224668247155, 0.031207079367683917, 0.14425543869723273, -0.156888764316329, -0.13957541193836603, 0.37158273807679765, -0.06900465164587578, -0.21071815953561754, 0.12899385656540593, -0.053375115439371026, -0.14365362552361507, 0.09802758779066305, 0.21208566722620015, 0.07373127881249394, -0.21550303421011477, -0.037512053872548, -0.016053310007496616, 0.1757838883333736, -0.011615376731362006, 0.007753789589523968, 0.2214264472913599, 0.25415981674538646, 0.0208742384554235, 0.12491488932500208, -0.14604845052882512, -0.030319132249463688, -0.22863840740738492, -0.10804103067934964, -0.2072122501399876, -0.0018856395976712004, -0.06722446755289142, -0.11928729170161967, 0.3945430634787889, 0.20291958433209042, 0.18509296332062644, 0.060541626074200855, 0.3173124244568324, 0.10532658084206321, 0.07284890329982671, 0.09505724536685387, 0.21536653956417182, 0.10529566238718954, 0.11086146207996692, -0.1691996998181849, 0.15737104514670192, 0.01294985681424162] |
711.2898 | New Results on the Phase Diagram of the FFXY Model: A Twisted CFT
Approach | The issue of the number, nature and sequence of phase transitions in the
fully frustrated XY (FFXY) model is a highly non trivial one due to the complex
interplay between its continuous and discrete degrees of freedom. In this
contribution we attack such a problem by means of a twisted conformal field
theory (CFT) approach and show how it gives rise to the U (1)$\otimes Z_{2}$
symmetry and to the whole spectrum of excitations of the FFXY model.
| hep-th | the issue of the number nature and sequence of phase transitions in the fully frustrated xy ffxy model is a highly non trivial one due to the complex interplay between its continuous and discrete degrees of freedom in this contribution we attack such a problem by means of a twisted conformal field theory cft approach and show how it gives rise to the u 1otimes z_2 symmetry and to the whole spectrum of excitations of the ffxy model | [['the', 'issue', 'of', 'the', 'number', 'nature', 'and', 'sequence', 'of', 'phase', 'transitions', 'in', 'the', 'fully', 'frustrated', 'xy', 'ffxy', 'model', 'is', 'a', 'highly', 'non', 'trivial', 'one', 'due', 'to', 'the', 'complex', 'interplay', 'between', 'its', 'continuous', 'and', 'discrete', 'degrees', 'of', 'freedom', 'in', 'this', 'contribution', 'we', 'attack', 'such', 'a', 'problem', 'by', 'means', 'of', 'a', 'twisted', 'conformal', 'field', 'theory', 'cft', 'approach', 'and', 'show', 'how', 'it', 'gives', 'rise', 'to', 'the', 'u', '1otimes', 'z_2', 'symmetry', 'and', 'to', 'the', 'whole', 'spectrum', 'of', 'excitations', 'of', 'the', 'ffxy', 'model']] | [-0.1742433324767402, 0.15606064402844566, -0.08047615873734824, 0.03898045861830887, -0.07445141484435552, -0.1288233236529124, 0.04348998811418334, 0.31852214007327956, -0.31007746134239894, -0.27657772462146407, 0.06724022951227827, -0.2798430543774978, -0.18561829299403307, 0.09929796459320454, -0.013278729574850354, 0.007863721566256853, -0.03507794993810165, 0.020342281428523935, -0.06178806199190708, -0.1988858581842998, 0.30701758543578667, -0.020138218010125015, 0.26973557903562695, 0.06259401351846276, 0.08563317430134003, 0.02422070459653743, 0.04796812677970873, -0.017637847349620782, -0.0953914940637799, 0.1141859771645007, 0.2066353275321233, 0.034274814101174854, 0.195565724458832, -0.39040465654136663, -0.20726557897451597, 0.1132272651944405, 0.11217778508151428, 0.11765055401394, -0.003719889854367536, -0.28838849794835997, 0.04692138939376141, -0.20089370960769698, -0.15494814470338708, -0.07982961351099686, -0.01108220260655985, -0.06932862732225122, -0.2475613419754574, 0.09301103910323806, 0.10105081712856936, 0.06752075322975333, -0.027045982186861623, -0.008246965443667693, -0.0823175477114721, 0.11076588351398897, 0.08567421141122349, 0.07560216589496495, 0.04699656820575444, -0.1698490223304058, -0.09765553580095562, 0.40436742337754905, -0.022248217877812494, -0.22826512929243156, 0.17409347341610834, -0.1307470659689548, -0.1369610887605888, 0.1566166544619661, 0.12620625355152582, 0.13451761392375025, -0.08252153759344648, 0.15071841776788902, -0.02415130454569291, 0.16784761370852208, -0.04714146598528784, 0.05202238350055921, 0.2304619675836502, 0.12494225969585852, 0.07532409954075821, 0.18108706447319725, -0.034351774134661235, -0.14705817331559956, -0.30704366348874873, -0.141853695245794, -0.18302312850331268, 0.088692504255913, -0.05089932490656606, -0.19580470823133603, 0.47095477635948324, 0.13551742908935127, 0.21672037787562332, -0.016894543770318612, 0.23087303818036348, 0.07956093283391032, 0.016531040103962787, 0.03735338401598617, 0.1875518350623166, 0.1939685302099977, 0.056210960271971255, -0.2507227241503409, -0.02900341437317622, 0.0952470917135286] |
711.2899 | Simple Lie algebras of small characteristic VI. Completion of the
classification | Let L be a finite-dimensional simple Lie algebra over an algebraically closed
field of F characteristic p>3. We prove that if the p-envelope of L in the
derivation algebra of L contains nonstandard tori of maximal dimension, then
p=5 and L is isomorphic to one of the Melikian algebras. Together with our
earlier results this implies that any finite-dimensional simple Lie algebra
over F is of classical, Cartan or Melikian type.
| math.RT math.RA | let l be a finitedimensional simple lie algebra over an algebraically closed field of f characteristic p3 we prove that if the penvelope of l in the derivation algebra of l contains nonstandard tori of maximal dimension then p5 and l is isomorphic to one of the melikian algebras together with our earlier results this implies that any finitedimensional simple lie algebra over f is of classical cartan or melikian type | [['let', 'l', 'be', 'a', 'finitedimensional', 'simple', 'lie', 'algebra', 'over', 'an', 'algebraically', 'closed', 'field', 'of', 'f', 'characteristic', 'p3', 'we', 'prove', 'that', 'if', 'the', 'penvelope', 'of', 'l', 'in', 'the', 'derivation', 'algebra', 'of', 'l', 'contains', 'nonstandard', 'tori', 'of', 'maximal', 'dimension', 'then', 'p5', 'and', 'l', 'is', 'isomorphic', 'to', 'one', 'of', 'the', 'melikian', 'algebras', 'together', 'with', 'our', 'earlier', 'results', 'this', 'implies', 'that', 'any', 'finitedimensional', 'simple', 'lie', 'algebra', 'over', 'f', 'is', 'of', 'classical', 'cartan', 'or', 'melikian', 'type']] | [-0.22734001008928686, 0.0762591856724559, -0.08024683954072712, -0.0025622581302161343, -0.16854360812357155, -0.20116202432689242, -0.0616870082837219, 0.31623061836580746, -0.35097455173946807, -0.159818672305108, 0.08399775637097764, -0.1808564705112814, -0.10320038754371522, 0.24841214358415184, -0.12873737831208584, -0.1443625784587061, 0.04905875033928432, 0.21036263992605003, -0.11881176597587224, -0.31416533404178376, 0.38113207880245603, -0.06643134400423995, 0.13856126477037542, -0.026308478848279818, 0.11196790254283426, 0.02850788582008386, -0.003794617438014003, 0.008199646012803567, -0.17740041955034214, 0.07182133998519377, 0.31178325374165305, 0.07671669705271505, 0.2309957428217825, -0.3288626016482063, -0.11246625294881886, 0.25111240836913173, 0.21940011726827294, -0.03394347024352654, 0.040471646253127554, -0.22519350691658, 0.14006251480052437, -0.1933179888266908, -0.19164814033370087, -0.02998935188288274, 0.15812286391240155, -0.02897549548820741, -0.26324860063260014, 0.024951460595796074, 0.17902804759965427, 0.19106596796031017, -0.07321134916223261, -0.11123594895437144, -0.09301198401785307, -0.007308032706150434, -0.08292935408003953, 0.09324325981678144, 0.08871987392532005, -0.0016604026680832485, -0.15705634741976426, 0.32182261703427933, -0.04441377230366503, -0.22209385011777066, 0.1307317961844197, -0.2281820157110907, -0.14123188959353644, 0.13728433726625383, 0.030862971235984478, 0.11355043324115484, -0.016508544754722843, 0.29819919719559856, -0.17940930939832891, 0.04518603061771263, 0.02658645622432232, -0.031000012113456276, 0.10692394406710198, 0.06871497932740528, 0.0629203179176303, 0.07786609124614978, 0.06127888408314059, 0.01171570649181587, -0.4320971371902936, -0.18740474648665692, -0.1130436336270709, 0.23923050659452227, -0.12615247962273407, -0.1598984936684154, 0.3804836362816285, 0.07477502769409287, 0.18382261218368143, 0.12645456752996298, 0.18058652781705925, 0.08746744652676895, 0.1371023982655311, 0.10982167174148819, 0.08404500971453777, 0.28544384998309874, -0.08940787557714983, -0.14529964814394497, -0.09736568187160985, 0.20905809434454725] |
711.29 | Dipolar excitations at the LIII x-ray absorption edges of the heavy rare
earth metals | We report measured dipolar asymmetry ratios at the LIII edges of the heavy
rare earth metals. The results are compared with a first principles calculation
and excellent agreement is found. A simple model of the scattering is
developed, enabling us to re-interpret the resonant x-ray scattering in these
materials and to identify the peaks in the asymmetry ratios with features in
the spin and orbital moment densities.
| cond-mat.str-el | we report measured dipolar asymmetry ratios at the liii edges of the heavy rare earth metals the results are compared with a first principles calculation and excellent agreement is found a simple model of the scattering is developed enabling us to reinterpret the resonant xray scattering in these materials and to identify the peaks in the asymmetry ratios with features in the spin and orbital moment densities | [['we', 'report', 'measured', 'dipolar', 'asymmetry', 'ratios', 'at', 'the', 'liii', 'edges', 'of', 'the', 'heavy', 'rare', 'earth', 'metals', 'the', 'results', 'are', 'compared', 'with', 'a', 'first', 'principles', 'calculation', 'and', 'excellent', 'agreement', 'is', 'found', 'a', 'simple', 'model', 'of', 'the', 'scattering', 'is', 'developed', 'enabling', 'us', 'to', 'reinterpret', 'the', 'resonant', 'xray', 'scattering', 'in', 'these', 'materials', 'and', 'to', 'identify', 'the', 'peaks', 'in', 'the', 'asymmetry', 'ratios', 'with', 'features', 'in', 'the', 'spin', 'and', 'orbital', 'moment', 'densities']] | [-0.10821850750762135, 0.14917022695264487, -0.06702870380049988, 0.09289585314899572, -0.010121727681982873, -0.08424153570919785, 0.04560175446755211, 0.3878706272191076, -0.21193838325231823, -0.3320814054181327, -0.0018043438747608618, -0.3808410534662987, -0.07370188943485716, 0.15099975399659085, 0.0577001181611819, 0.03166921194225772, 0.03709469207757111, -0.023556011965248123, -0.09162652471846443, -0.15961820115126782, 0.22722187450628228, 0.080385057679586, 0.2728247516858044, 0.09674897534883957, 0.029856325850001912, -0.0036000719766563446, -0.0189127472521209, -0.01750266490809953, -0.1267780451687859, 0.12359436483247511, 0.2462311681888219, -0.039406266716767606, 0.09524408909978706, -0.4255127949612354, -0.1348459330950377, 0.0423271102351206, 0.11853867731015406, 0.12596737835278263, -0.08338644224177323, -0.2476996076432293, 0.02876717775170483, -0.13355530694877701, -0.16897415355153717, -0.07551074396374065, 0.018528588977989865, 0.02014937529812998, -0.30510458405782925, 0.08762509000501525, -0.00451053080232397, 0.045859289925489856, -0.0902138123803063, -0.16935232049549248, -0.02078448334681009, 0.04901936691282178, 0.07164312817621976, -0.004575401210962836, 0.1363836667611639, -0.09160521890231367, -0.13231554205543292, 0.40969522651319684, -0.08636791797514672, -0.07314021289070595, 0.20699998680085166, -0.2447490734673703, -0.13275904457932755, 0.16895399511611062, 0.14281416867526053, 0.11996236159952718, -0.1347325181644132, 0.010239379533476181, -0.015535993779550738, 0.1432512853461415, 0.030955037261957107, 0.05116493293723185, 0.2697703491812989, 0.17252206960136987, -0.037729100226911144, 0.10351174723864325, -0.1821821229949371, -0.047568492132669955, -0.2443030730112275, -0.13534183267837585, -0.15123095219510038, 0.00558667800583835, -0.056382736433757845, -0.11434775471353709, 0.3881968019127067, 0.16223167675310995, 0.2565237477060352, 0.01093344365371697, 0.2902876137505605, 0.13501618965876414, 0.08268510863018125, 0.024445723050704866, 0.31553168198677584, 0.19050559284749316, 0.10832264990226101, -0.2681855135041275, 0.12006663068183768, -0.012183492294331985] |
711.2901 | First Measurement of the Production of a W Boson in Association with a
Single Charm Quark in Proton Anti-proton Collisions at sqrt(s)=1.96 TeV | We present the first measurement of the production cross section of a W boson
with a single charm quark (c) in p-pbar collisions at sqrt(s)=1.96 TeV, using
soft muon tagging of c jets. In a data sample of ~1.8 fb-1, recorded with the
CDF II detector at the Fermilab Tevatron, we select events with W+1 or 2 jets.
We use the charge correlation between the W and the muon from the semileptonic
decay of a charm hadron to extract the Wc signal. We measure
sigma_{Wc}(p_{Tc}>20 GeV/c, |\eta_c|<1.5)\times BR(W->\ell\nu) = 9.8+/-3.2 pb,
in agreement with theoretical expectations.
| hep-ex | we present the first measurement of the production cross section of a w boson with a single charm quark c in ppbar collisions at sqrts196 tev using soft muon tagging of c jets in a data sample of 18 fb1 recorded with the cdf ii detector at the fermilab tevatron we select events with w1 or 2 jets we use the charge correlation between the w and the muon from the semileptonic decay of a charm hadron to extract the wc signal we measure sigma_wcp_tc20 gevc eta_c15times brwellnu 9832 pb in agreement with theoretical expectations | [['we', 'present', 'the', 'first', 'measurement', 'of', 'the', 'production', 'cross', 'section', 'of', 'a', 'w', 'boson', 'with', 'a', 'single', 'charm', 'quark', 'c', 'in', 'ppbar', 'collisions', 'at', 'sqrts196', 'tev', 'using', 'soft', 'muon', 'tagging', 'of', 'c', 'jets', 'in', 'a', 'data', 'sample', 'of', '18', 'fb1', 'recorded', 'with', 'the', 'cdf', 'ii', 'detector', 'at', 'the', 'fermilab', 'tevatron', 'we', 'select', 'events', 'with', 'w1', 'or', '2', 'jets', 'we', 'use', 'the', 'charge', 'correlation', 'between', 'the', 'w', 'and', 'the', 'muon', 'from', 'the', 'semileptonic', 'decay', 'of', 'a', 'charm', 'hadron', 'to', 'extract', 'the', 'wc', 'signal', 'we', 'measure', 'sigma_wcp_tc20', 'gevc', 'eta_c15times', 'brwellnu', '9832', 'pb', 'in', 'agreement', 'with', 'theoretical', 'expectations']] | [0.01290970122816203, 0.20500955854684277, -0.08921132032233088, 0.11689447587274987, -0.023376176376705585, -0.14140346318827537, 0.07066838285106275, 0.33974252928696247, -0.17525903603730156, -0.30720552050953975, -0.0845970741040377, -0.4639476969757158, 0.18059313357250928, 0.10491759132634362, 0.10654656367842108, 0.14054170730726226, 0.18002927438457214, -0.01990115946113213, -0.08670662026143754, -0.2212631174403688, 0.2740277167822174, 0.06096192368346712, 0.21831222474777504, 0.10845062007580925, 0.09355740139954319, 0.04012107233385272, -0.09377374035070914, -0.10294805627073282, -0.10382890432526398, 0.06897455535648117, 0.25658169936872105, 0.10121709785079988, 0.08317371461453149, -0.32365918221196055, 0.012435230317667289, 0.12686676939989885, 0.11554102774243802, 0.04554282588398327, -0.10887442606643004, -0.31439358019270003, 0.18091224081834537, -0.24716491450596115, -0.08569324595610732, 0.061456630727701377, -0.005739044952307544, -0.041903146249039666, -0.34598289249950775, 0.10291830451308709, -0.09010801961488576, 0.11666176429919331, 0.023088562598391232, -0.2252365297678372, -0.08018383946593689, -0.05692743998699133, 0.0886708332893803, 0.1421165391144788, 0.18483117611511893, -0.18112873078612407, -0.2650207130221964, 0.31384272685112513, -0.0684494769261421, -0.13360127860821946, 0.20107863736136453, -0.28346783986173407, -0.11568642133573556, 0.16271383133109496, 0.3032586412306916, 0.0393692843056709, -0.25547560190518753, 0.09553292597601008, -0.019312256441006193, 0.21225336903412623, 0.07163298306176843, 0.04314188947121337, 0.15757257009238895, 0.2576011899737236, -0.050089685975209526, 0.0585468930657953, -0.2368840033431416, 0.029750767093703515, -0.5216761987210939, -0.12564406701130792, -0.06465969801596973, 0.09479730905150063, -0.033210510006977965, -0.047835132238738566, 0.3495890208742703, 0.06277788931544384, 0.35640918853206804, -0.015763524135210268, 0.2792604179349323, 0.07131974696708114, 0.05644225786596982, 0.11961867038727454, 0.31220804944725544, 0.16099492238794008, 0.2532868546777931, -0.2457693025100288, 0.011045029270462692, 0.04823662484388636] |
711.2902 | Comment on "Once more about the KK molecule approach to the light
scalars" | In this manuscript we comment on the criticism raised recently by Achasov and
Kiselev [Phys. Rev. D 76, 077501 (2007)] on our work on the radiative decays
phi to gamma a_0/f_0 [Eur. Phys. J. A 24, 437 (2005)]. Specifically, we
demonstrate that their criticism relies on results that violate
gauge-invariance and is therefore invalid.
| hep-ph | in this manuscript we comment on the criticism raised recently by achasov and kiselev phys rev d 76 077501 2007 on our work on the radiative decays phi to gamma a_0f_0 eur phys j a 24 437 2005 specifically we demonstrate that their criticism relies on results that violate gaugeinvariance and is therefore invalid | [['in', 'this', 'manuscript', 'we', 'comment', 'on', 'the', 'criticism', 'raised', 'recently', 'by', 'achasov', 'and', 'kiselev', 'phys', 'rev', 'd', '76', '077501', '2007', 'on', 'our', 'work', 'on', 'the', 'radiative', 'decays', 'phi', 'to', 'gamma', 'a_0f_0', 'eur', 'phys', 'j', 'a', '24', '437', '2005', 'specifically', 'we', 'demonstrate', 'that', 'their', 'criticism', 'relies', 'on', 'results', 'that', 'violate', 'gaugeinvariance', 'and', 'is', 'therefore', 'invalid']] | [-0.021630402045467727, 0.07378365743296364, -0.034266059331667535, -0.07066337076517251, -0.11364216178369063, -0.08029229090943073, 0.16601915304020692, 0.280190578827527, -0.018774034625564057, -0.3377168676099525, -0.015775576065957118, -0.3071881842871125, -0.1909431942890828, 0.18781987781851336, -0.19467184663405462, 0.0050341019657655405, 0.03725884168838652, -0.09217828037575461, -0.018033222546084568, -0.35087052610917735, 0.21713492249210292, 0.1609582660289911, 0.2946519504123269, 0.1740620327898516, 0.01965128728009474, 0.04681250789704231, -0.12142444133328703, -0.026012067324840106, -0.24912472108273784, 0.04603309769971439, 0.11248648300981866, 0.14242899052512187, 0.27108730442033935, -0.3541840687035941, -0.1776355097983749, 0.07643151236698031, -0.004604536968354995, 0.08270750659553763, 0.04518683633516328, -0.39309587222165787, 0.09228251993100947, -0.20644368262639126, -0.05955507768353877, -0.14350127984877104, 0.22368322996548018, -0.07130119908833876, -0.2714014910474921, 0.16873082586635763, 0.14065739813332373, 0.06470882287248969, 0.048046250673136316, -0.14584329620433542, 0.011949714797083288, -0.11364201421383768, 0.057140489014832735, 0.13961504340673295, 0.10377972199617383, 0.032049349818127945, -0.17495093360552205, 0.32370187077098167, -0.043843408433111526, -0.15608563884877816, 0.26098173982105577, -0.0999323225293595, -0.2347993329167366, 0.03535737982019782, 0.16632140024851721, 0.15106824103098077, -0.1265587130955492, 0.19374459756923337, -0.12151455458325262, 0.12144774718819043, 0.16204633839571705, -0.024717880744272128, 0.1143465847439634, 0.030858425817524012, -0.12492160410329234, 0.03963242828971348, -0.0897001234563784, -0.07250152929471089, -0.3114526219164523, -0.1977358300668689, -0.23139508226169989, 0.15855235856277153, 0.1322764474008671, -0.020881900167856095, 0.36739750668549764, 0.21101023238868669, 0.2343488027825235, -0.023616763687012002, 0.16174260311974928, 0.06325796201081875, -0.08329220413893032, 0.23372667179836965, 0.3379781933573003, 0.15903149481164292, 0.16098396440681356, -0.22188903069875848, -0.047222666594629675, 0.0783655094430567] |
711.2903 | Flavour Physics and Grand Unification | In spite of the enormous success of the Standard Model (SM), we have strong
reasons to expect the presence of new physics beyond the SM at higher energies.
The idea of the Grand Unification of all the known interactions in nature is
perhaps the main reason behind these expectations. Low-energy Supersymmetry is
closely linked with grand unification as a solution of the hierarchy problem
associated with the ratio M_GUT / M_Z. In these lectures we will provide a
general overview of Grand Unification and Supersymmetry with special emphasis
on their phenomenological consequences at low energies. We will analyse the
flavour and CP problems of Supersymmetry and try to identify in these
associated low-energy observables possible indications of the existence of a
Grand Unified theory at high energies.
| hep-ph | in spite of the enormous success of the standard model sm we have strong reasons to expect the presence of new physics beyond the sm at higher energies the idea of the grand unification of all the known interactions in nature is perhaps the main reason behind these expectations lowenergy supersymmetry is closely linked with grand unification as a solution of the hierarchy problem associated with the ratio m_gut m_z in these lectures we will provide a general overview of grand unification and supersymmetry with special emphasis on their phenomenological consequences at low energies we will analyse the flavour and cp problems of supersymmetry and try to identify in these associated lowenergy observables possible indications of the existence of a grand unified theory at high energies | [['in', 'spite', 'of', 'the', 'enormous', 'success', 'of', 'the', 'standard', 'model', 'sm', 'we', 'have', 'strong', 'reasons', 'to', 'expect', 'the', 'presence', 'of', 'new', 'physics', 'beyond', 'the', 'sm', 'at', 'higher', 'energies', 'the', 'idea', 'of', 'the', 'grand', 'unification', 'of', 'all', 'the', 'known', 'interactions', 'in', 'nature', 'is', 'perhaps', 'the', 'main', 'reason', 'behind', 'these', 'expectations', 'lowenergy', 'supersymmetry', 'is', 'closely', 'linked', 'with', 'grand', 'unification', 'as', 'a', 'solution', 'of', 'the', 'hierarchy', 'problem', 'associated', 'with', 'the', 'ratio', 'm_gut', 'm_z', 'in', 'these', 'lectures', 'we', 'will', 'provide', 'a', 'general', 'overview', 'of', 'grand', 'unification', 'and', 'supersymmetry', 'with', 'special', 'emphasis', 'on', 'their', 'phenomenological', 'consequences', 'at', 'low', 'energies', 'we', 'will', 'analyse', 'the', 'flavour', 'and', 'cp', 'problems', 'of', 'supersymmetry', 'and', 'try', 'to', 'identify', 'in', 'these', 'associated', 'lowenergy', 'observables', 'possible', 'indications', 'of', 'the', 'existence', 'of', 'a', 'grand', 'unified', 'theory', 'at', 'high', 'energies']] | [-0.09676896932623572, 0.16277633261837302, -0.031875197080288284, 0.20646486297020658, -0.058829361009263684, -0.1294858647539975, 0.029711548478290852, 0.30887984493303866, -0.22136867393015158, -0.35555170312346446, 0.09247790596684412, -0.23136902077027435, -0.10656876703502521, 0.1041449081427085, -0.03134373361836114, 0.01206408812856627, -0.02162647168965094, 0.02570245608281795, -0.11668644129670047, -0.21836527594224742, 0.3092876795405847, 0.10972246308884924, 0.23177122558644486, 0.09469402725032221, 0.07648330536626634, -0.04706787026029021, -0.007086961057096246, -0.05339667977883466, -0.13672998463845856, 0.155422400342234, 0.2526128784280329, 0.10749576123715895, 0.22468153972710883, -0.4106903749458965, -0.12675054005480238, 0.13038265557002482, 0.09658495392668845, 0.10955982505609947, -0.07687085514817948, -0.23495536194079453, 0.08182685150365744, -0.16427314841365886, -0.1997361936576901, -0.06953517705505152, -0.06010433444975033, -0.03527878578160963, -0.21961310179164958, 0.08162768796226749, -0.0002791548354758157, 0.03853183154327174, -0.038559518080012546, -0.16040207915625254, 0.00871884575786276, 0.04258318057298542, 0.178993814825801, 0.006394547657460891, 0.10079266993136751, -0.19667355144130333, -0.16971830756861775, 0.4625745467723362, -0.03660062639900143, -0.09686027699342323, 0.25591805668562534, -0.17044793880389383, -0.2345649893153071, 0.11056060620882947, 0.15423570166985018, 0.05569392731928337, -0.13636464288177352, 0.16983745601984473, -0.03755145646550412, 0.11991795422213655, 0.01803836299638663, 0.08623253453813035, 0.31423064819832763, 0.20660478516023548, 0.042238539567084184, 0.037347387500284684, -0.018946067508613128, -0.14106751456237693, -0.43184760743604295, -0.0975310295849802, -0.08547448410489966, 0.056764556456261155, -0.06855801261172885, -0.0819561470314742, 0.4097924316338899, 0.1799982477881251, 0.22292071044637216, 0.039501374221539924, 0.21316704542804804, 0.08658284356813907, 0.08577607735244942, -0.02893211058015743, 0.3061102236591516, 0.10336876920579623, 0.10645777211036711, -0.21258932638669475, -0.02537430868306685, 0.10210408655823106] |
711.2904 | The CMB in a Causal Set Universe | We discuss Cosmic Microwave Background constraints on the causal set theory
of quantum gravity, which has made testable predictions about the nature of
dark energy. We flesh out previously discussed heuristic constraints by showing
how the power spectrum of causal set dark energy fluctuations can be found from
the overlap volumes of past light cones of points in the universe. Using a
modified Boltzmann code we put constraints on the single parameter of the
theory that are somewhat stronger than previous ones. We conclude that causal
set theory cannot explain late-time acceleration without radical alterations to
General Relativity.
| astro-ph | we discuss cosmic microwave background constraints on the causal set theory of quantum gravity which has made testable predictions about the nature of dark energy we flesh out previously discussed heuristic constraints by showing how the power spectrum of causal set dark energy fluctuations can be found from the overlap volumes of past light cones of points in the universe using a modified boltzmann code we put constraints on the single parameter of the theory that are somewhat stronger than previous ones we conclude that causal set theory cannot explain latetime acceleration without radical alterations to general relativity | [['we', 'discuss', 'cosmic', 'microwave', 'background', 'constraints', 'on', 'the', 'causal', 'set', 'theory', 'of', 'quantum', 'gravity', 'which', 'has', 'made', 'testable', 'predictions', 'about', 'the', 'nature', 'of', 'dark', 'energy', 'we', 'flesh', 'out', 'previously', 'discussed', 'heuristic', 'constraints', 'by', 'showing', 'how', 'the', 'power', 'spectrum', 'of', 'causal', 'set', 'dark', 'energy', 'fluctuations', 'can', 'be', 'found', 'from', 'the', 'overlap', 'volumes', 'of', 'past', 'light', 'cones', 'of', 'points', 'in', 'the', 'universe', 'using', 'a', 'modified', 'boltzmann', 'code', 'we', 'put', 'constraints', 'on', 'the', 'single', 'parameter', 'of', 'the', 'theory', 'that', 'are', 'somewhat', 'stronger', 'than', 'previous', 'ones', 'we', 'conclude', 'that', 'causal', 'set', 'theory', 'can', 'not', 'explain', 'latetime', 'acceleration', 'without', 'radical', 'alterations', 'to', 'general', 'relativity']] | [-0.1289542622939505, 0.10743594344710047, -0.13943511806428432, 0.15241607961555323, -0.14029568615322463, -0.11978034868441297, 0.045675124614405434, 0.3305003623186488, -0.24678937905477455, -0.3096171120097014, 0.023438611452354853, -0.26483416706888063, -0.09126650697006045, 0.20829809994690798, -0.03376418499821665, 0.012458091460619911, 0.03690569564662497, 0.029027838118825897, -0.04243996390259138, -0.27198770877463047, 0.3353446282756825, 0.1489596585825443, 0.2490270757163414, 0.039880549598654565, 0.057016616423774244, -0.040826386800318054, -0.05916786328842393, 0.09330310045995495, -0.17752315327034196, 0.10429458940317007, 0.18338157449416215, 0.17958472825756128, 0.2097913041908407, -0.4971402476005482, -0.300216697777311, 0.13338240657490913, 0.09700613088007415, 0.15504530342554468, -0.02867574108096611, -0.27757101751760477, 0.05320829895296783, -0.14423142777134976, -0.11772375598060664, -0.07345626436202138, -0.0408597016810543, -0.05210111713544889, -0.1896954654960545, 0.08766366493878792, -0.002835820777097134, -0.0023179455011179953, -0.0564093087574072, -0.10660790417089382, -0.02564002720244003, 0.009356547175257496, 0.08606359374243766, 0.0027129811121884622, 0.15012641328697404, -0.12247854827743287, -0.13651355928882505, 0.37682426680406234, -0.06230777140422795, -0.16417340320920704, 0.1641468644222113, -0.17621663268749613, -0.15448263472868035, 0.0957861426356954, 0.134761680171571, 0.07044679966915135, -0.16593392704839283, 0.12264813128106221, -0.036661782678254325, 0.18567338077859444, 0.08839953590579556, 0.06929259651135936, 0.30045994276162047, 0.10447927258645344, 0.009648307805147135, 0.05633215995557192, -0.038472395012216325, -0.099294253848693, -0.34145953076317753, -0.08830549187412617, -0.1525124761210096, 0.07429959558934147, -0.12122108777890904, -0.11937203509803636, 0.3566253613680601, 0.17054421301329076, 0.16428854911690438, 0.04826236781875857, 0.2628345493123763, 0.0786078012884404, 0.031785087123738995, 0.07196248960069786, 0.3264388751028096, 0.1152972067409957, 0.054206195708383066, -0.21131025239909915, 0.038873745410731346, 0.03741362407530724] |
711.2905 | Finite temperature behavior of strongly disordered quantum magnets
coupled to a dissipative bath | We study the effect of dissipation on the infinite randomness fixed point and
the Griffiths-McCoy singularities of random transverse Ising systems in chains,
ladders and in two-dimensions. A strong disorder renormalization group scheme
is presented that allows the computation of the finite temperature behavior of
the magnetic susceptibility and the spin specific heat. In the case of Ohmic
dissipation the susceptibility displays a crossover from Griffiths-McCoy
behavior (with a continuously varying dynamical exponent) to classical Curie
behavior at some temperature $T^*$. The specific heat displays Griffiths-McCoy
singularities over the whole temperature range. For super-Ohmic dissipation we
find an infinite randomness fixed point within the same universality class as
the transverse Ising system without dissipation. In this case the phase diagram
and the parameter dependence of the dynamical exponent in the Griffiths-McCoy
phase can be determined analytically.
| cond-mat.dis-nn | we study the effect of dissipation on the infinite randomness fixed point and the griffithsmccoy singularities of random transverse ising systems in chains ladders and in twodimensions a strong disorder renormalization group scheme is presented that allows the computation of the finite temperature behavior of the magnetic susceptibility and the spin specific heat in the case of ohmic dissipation the susceptibility displays a crossover from griffithsmccoy behavior with a continuously varying dynamical exponent to classical curie behavior at some temperature t the specific heat displays griffithsmccoy singularities over the whole temperature range for superohmic dissipation we find an infinite randomness fixed point within the same universality class as the transverse ising system without dissipation in this case the phase diagram and the parameter dependence of the dynamical exponent in the griffithsmccoy phase can be determined analytically | [['we', 'study', 'the', 'effect', 'of', 'dissipation', 'on', 'the', 'infinite', 'randomness', 'fixed', 'point', 'and', 'the', 'griffithsmccoy', 'singularities', 'of', 'random', 'transverse', 'ising', 'systems', 'in', 'chains', 'ladders', 'and', 'in', 'twodimensions', 'a', 'strong', 'disorder', 'renormalization', 'group', 'scheme', 'is', 'presented', 'that', 'allows', 'the', 'computation', 'of', 'the', 'finite', 'temperature', 'behavior', 'of', 'the', 'magnetic', 'susceptibility', 'and', 'the', 'spin', 'specific', 'heat', 'in', 'the', 'case', 'of', 'ohmic', 'dissipation', 'the', 'susceptibility', 'displays', 'a', 'crossover', 'from', 'griffithsmccoy', 'behavior', 'with', 'a', 'continuously', 'varying', 'dynamical', 'exponent', 'to', 'classical', 'curie', 'behavior', 'at', 'some', 'temperature', 't', 'the', 'specific', 'heat', 'displays', 'griffithsmccoy', 'singularities', 'over', 'the', 'whole', 'temperature', 'range', 'for', 'superohmic', 'dissipation', 'we', 'find', 'an', 'infinite', 'randomness', 'fixed', 'point', 'within', 'the', 'same', 'universality', 'class', 'as', 'the', 'transverse', 'ising', 'system', 'without', 'dissipation', 'in', 'this', 'case', 'the', 'phase', 'diagram', 'and', 'the', 'parameter', 'dependence', 'of', 'the', 'dynamical', 'exponent', 'in', 'the', 'griffithsmccoy', 'phase', 'can', 'be', 'determined', 'analytically']] | [-0.22154704337556133, 0.2212625047824772, -0.08917424226135207, 0.04137204714146826, -0.03999921988425365, -0.16009414705331437, 0.08295552820816417, 0.32572919661727023, -0.27213054736528325, -0.22455460119047477, 0.06089514775350621, -0.30518975350348815, -0.10551006130545455, 0.19484588985933976, 0.04091885625166469, 0.06410047977217748, -0.05270065210745944, 0.05681549251141191, -0.12127725725055344, -0.19813145658083478, 0.3243165390483816, 0.008614244761274141, 0.30128974482581455, 0.08837435709531694, 0.05664549593348056, 0.022041193450765124, 0.09713859256247387, 0.0543873888467822, -0.1721879361586937, -0.06990391937228303, 0.21624637178747969, -0.08760740708641927, 0.21647985793841892, -0.32872315850930617, -0.2709992559547947, 0.10609985700712594, 0.14469715783728615, 0.12231409694205093, -0.007027798904934624, -0.23665121469906913, 0.027616541955948752, -0.17150263391394058, -0.1764990878145909, -0.06670657414532102, -0.0028727965588640314, 0.03512645249001627, -0.24909990972510593, 0.14065902238807587, 0.09775826533330152, 0.14464035803479525, -0.03974750923268456, -0.03749149895242333, -0.05224749883842271, 0.13777247788932392, 0.05221991721285068, 0.02757519669317202, 0.16744498619535828, -0.14471609365393626, -0.08825605240760043, 0.3161409089054145, -0.07579873418366975, -0.16263990684627275, 0.17591401872649678, -0.22640397322281977, -0.10866698915111449, 0.16032275483388836, 0.12501866005272055, 0.0789122842012576, -0.1294268350568874, 0.12446501038400182, 0.031904128037721795, 0.15659536268118673, -0.008181677540586166, 0.02987615134471151, 0.19595168648041128, 0.144480152421987, 0.027613072382176623, 0.23784282598695855, -0.07928382258978672, -0.1668010308092241, -0.3112613402498776, -0.12342293281792938, -0.22392229133230798, 0.09612820889828179, -0.1918530621294528, -0.20709414980100357, 0.4021845413740801, 0.171051640790906, 0.2088826956186334, 0.04131889137223719, 0.22009020044660085, 0.1585398096623762, 0.03948891134110882, 0.10325234222759985, 0.17811745523602654, 0.1572679723818403, 0.17098570349266726, -0.32432927192798267, 0.044877836453344894, 0.0808412875254255] |
711.2906 | Circumscribing Late Dark Matter Decays Model Independently | A number of theories, spanning a wide range of mass scales, predict dark
matter candidates that have lifetimes much longer than the age of the universe,
yet may produce a significant flux of gamma rays in their decays today. We
constrain such late decaying dark matter scenarios model-independently by
utilizing gamma-ray line emission limits from the Galactic Center region
obtained with the SPI spectrometer on INTEGRAL, and the determination of the
isotropic diffuse photon background by SPI, COMPTEL and EGRET observations. We
show that no more than ~5% of the unexplained MeV background can be produced by
late dark matter decays either in the Galactic halo or cosmological sources.
| astro-ph hep-ph | a number of theories spanning a wide range of mass scales predict dark matter candidates that have lifetimes much longer than the age of the universe yet may produce a significant flux of gamma rays in their decays today we constrain such late decaying dark matter scenarios modelindependently by utilizing gammaray line emission limits from the galactic center region obtained with the spi spectrometer on integral and the determination of the isotropic diffuse photon background by spi comptel and egret observations we show that no more than 5 of the unexplained mev background can be produced by late dark matter decays either in the galactic halo or cosmological sources | [['a', 'number', 'of', 'theories', 'spanning', 'a', 'wide', 'range', 'of', 'mass', 'scales', 'predict', 'dark', 'matter', 'candidates', 'that', 'have', 'lifetimes', 'much', 'longer', 'than', 'the', 'age', 'of', 'the', 'universe', 'yet', 'may', 'produce', 'a', 'significant', 'flux', 'of', 'gamma', 'rays', 'in', 'their', 'decays', 'today', 'we', 'constrain', 'such', 'late', 'decaying', 'dark', 'matter', 'scenarios', 'modelindependently', 'by', 'utilizing', 'gammaray', 'line', 'emission', 'limits', 'from', 'the', 'galactic', 'center', 'region', 'obtained', 'with', 'the', 'spi', 'spectrometer', 'on', 'integral', 'and', 'the', 'determination', 'of', 'the', 'isotropic', 'diffuse', 'photon', 'background', 'by', 'spi', 'comptel', 'and', 'egret', 'observations', 'we', 'show', 'that', 'no', 'more', 'than', '5', 'of', 'the', 'unexplained', 'mev', 'background', 'can', 'be', 'produced', 'by', 'late', 'dark', 'matter', 'decays', 'either', 'in', 'the', 'galactic', 'halo', 'or', 'cosmological', 'sources']] | [-0.06086672760371051, 0.2145355482833511, -0.10745602938423462, 0.18243683975429162, -0.11289827799378603, -0.0710093406533156, 0.008730573624526278, 0.3849789216994829, -0.16537085591618894, -0.4201019275762619, 0.010048888677115972, -0.30686011429397614, 0.06504920280940078, 0.24626570003354972, 0.0682299196602106, -0.03705849579467071, 0.054168463876863956, -0.023263934128191492, -0.02308615213345497, -0.2137133329850408, 0.2751176120785979, 0.12559261568821967, 0.15201645640981035, 0.018362360895363562, 0.05675594079299667, -0.07308430311808345, -0.10697562749489048, -0.049098070693808955, -0.12455037712835634, 0.03363210971065617, 0.20034392560413533, 0.13463867844056782, 0.13807034797308573, -0.39468989198292614, -0.28534804737417524, 0.2314485595561564, 0.21485713732625367, 0.01690248600762645, -0.08889522097127431, -0.3417214410840918, 0.04425170281426682, -0.19704394733721237, -0.12107784380931236, 0.043539694899163386, 0.015187366105137615, -0.017079451616956006, -0.17911267514263682, 0.11596408014083195, -0.05844315484330622, 0.004020034275743939, -0.11136890191866786, -0.13851062186519453, 0.005573231615809673, -0.0068108800931090336, 0.12407283078229756, 0.04451778148292401, 0.22309869973399088, -0.19035927163129415, -0.09755120640022492, 0.4038236459734243, -0.10515106781818391, -0.029355500611143375, 0.17266224082901116, -0.21402480531646229, -0.1625079868677491, 0.21993983997707042, 0.12968855935208704, 0.08617268386937746, -0.16789547254869697, 0.09547892156155319, -0.016325311105134428, 0.22183867623824455, 0.07844306079995468, 0.05916859596057735, 0.35054733535838783, 0.14851380983760598, 0.05829282211131254, 0.026394772769481694, -0.20199666061831656, -0.005289567856613649, -0.2996344390077465, -0.09227004583386722, -0.14357365548200562, 0.0953076062820117, -0.10859634494809477, -0.11137623755515494, 0.34459240955873094, 0.08393867061486246, 0.21026917017671629, 0.025572954933639667, 0.29696621570667814, 0.06088947268510494, 0.0725466460032269, 0.1096330343856724, 0.3652313966987603, 0.12419233876793141, 0.10416517574596432, -0.1811802519609246, 0.02770251258695071, -0.06348772458048589] |
711.2907 | Displaying perfusion MRI images as color intensity projections | Dynamic susceptibility-weighted contrast-enhanced (DSC) MRI or perfusion-MRI
plays an important role in the non-invasive assessment of tumor vascularity.
However, the large number of images provided by the method makes display and
interpretation of the results challenging. Current practice is to display the
perfusion information as relative cerebral blood volume maps (rCBV). Color
intensity projections (CIPs) provides a simple, intuitive display of the
perfusion-MRI data so that regional perfusion characteristics are intrinsically
integrated into the anatomy structure the T2 images. The ease of use and quick
calculation time of CIPs should allow it to be easily integrated into current
analysis and interpretation pipelines.
| physics.gen-ph physics.med-ph | dynamic susceptibilityweighted contrastenhanced dsc mri or perfusionmri plays an important role in the noninvasive assessment of tumor vascularity however the large number of images provided by the method makes display and interpretation of the results challenging current practice is to display the perfusion information as relative cerebral blood volume maps rcbv color intensity projections cips provides a simple intuitive display of the perfusionmri data so that regional perfusion characteristics are intrinsically integrated into the anatomy structure the t2 images the ease of use and quick calculation time of cips should allow it to be easily integrated into current analysis and interpretation pipelines | [['dynamic', 'susceptibilityweighted', 'contrastenhanced', 'dsc', 'mri', 'or', 'perfusionmri', 'plays', 'an', 'important', 'role', 'in', 'the', 'noninvasive', 'assessment', 'of', 'tumor', 'vascularity', 'however', 'the', 'large', 'number', 'of', 'images', 'provided', 'by', 'the', 'method', 'makes', 'display', 'and', 'interpretation', 'of', 'the', 'results', 'challenging', 'current', 'practice', 'is', 'to', 'display', 'the', 'perfusion', 'information', 'as', 'relative', 'cerebral', 'blood', 'volume', 'maps', 'rcbv', 'color', 'intensity', 'projections', 'cips', 'provides', 'a', 'simple', 'intuitive', 'display', 'of', 'the', 'perfusionmri', 'data', 'so', 'that', 'regional', 'perfusion', 'characteristics', 'are', 'intrinsically', 'integrated', 'into', 'the', 'anatomy', 'structure', 'the', 't2', 'images', 'the', 'ease', 'of', 'use', 'and', 'quick', 'calculation', 'time', 'of', 'cips', 'should', 'allow', 'it', 'to', 'be', 'easily', 'integrated', 'into', 'current', 'analysis', 'and', 'interpretation', 'pipelines']] | [-0.04087238451183745, 0.04267913230469643, -0.10840815011731754, 0.09419698888233703, -0.09021728452897132, -0.10238050843466713, -0.032200605192249925, 0.40117851541274124, -0.23197176059263505, -0.31895811907062777, 0.14139002065216613, -0.2648652635533551, -0.17562605874528261, 0.24038544505942763, -0.10231656917871207, 0.036228974414471954, 0.08999570448779398, 0.003110044017302418, 0.01411734355350185, -0.16801520456169552, 0.22491070091362214, 0.06175829672414546, 0.36577784893752047, 0.060945395850623495, 0.0964297770882364, 0.01522162752320068, -0.12097714532336051, 0.06437635112252801, -0.07824876799397794, 0.14179754593983443, 0.31385512169300006, 0.18738789007425158, 0.2557879755428682, -0.46316649162003565, -0.1897022149953615, 0.0726910148926004, 0.14039558325094556, 0.07242054353007163, -0.027832982750054486, -0.2874617669355087, 0.0507080311313121, -0.07148455576312662, -0.06379196852577304, -0.16012107282688823, 0.017653716217745283, -0.03873667548612851, -0.2721573477164099, 0.15442997739283423, 0.0298453082423569, 0.1254642835578345, -0.08265646740399075, -0.09121524997883373, -0.04599512631844992, 0.1966660516313042, 0.007863177240572193, 0.05412505264276394, 0.22036142939833378, -0.18093914733117802, -0.05137469722992844, 0.3448469126032609, -0.008608403690911905, -0.1784889147184187, 0.18345110871678574, -0.12905180448139406, -0.06937895533205433, 0.16681412152118152, 0.17340613285201895, 0.046633113133297724, -0.1664457897558065, -0.009441082391092986, 0.02381619190176328, 0.20887766744132447, 0.018448661716485567, 0.052199564829487545, 0.20492010775511388, 0.21425142095687638, 0.01718197636908353, 0.1303102943882807, -0.15559484269187757, -0.009444783648682965, -0.21730619699534293, -0.18700471046766398, -0.11415616298715274, 0.013096558081804576, -0.1159486771001765, -0.20491879352020345, 0.3954275415250749, 0.173279073507986, 0.20468754901296712, -0.0061895781234283034, 0.3607313887338446, 0.07349763232438515, 0.12334603941387902, -0.01682778505721327, 0.1754783478029298, 0.08817031199930969, 0.1579115653664551, -0.22450353926273459, 0.11668293315663257, 0.03224742514165965] |
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