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711.3608 | Quantum Benchmark for Teleportation and Storage of Squeezed States | We provide a quantum benchmark for teleportation and storage of single-mode
squeezed states with zero displacement and a completely unknown degree of
squeezing along a given direction. For pure squeezed input states, a fidelity
higher than 81.5% has to be attained in order to outperform any classical
strategy based on an estimation of the unknown squeezing and repreparation of
squeezed states. For squeezed thermal input states, we derive an upper and a
lower bound on the classical average fidelity which tighten for moderate degree
of mixedness. These results enable a critical discussion of recent experiments
with squeezed light.
| quant-ph | we provide a quantum benchmark for teleportation and storage of singlemode squeezed states with zero displacement and a completely unknown degree of squeezing along a given direction for pure squeezed input states a fidelity higher than 815 has to be attained in order to outperform any classical strategy based on an estimation of the unknown squeezing and repreparation of squeezed states for squeezed thermal input states we derive an upper and a lower bound on the classical average fidelity which tighten for moderate degree of mixedness these results enable a critical discussion of recent experiments with squeezed light | [['we', 'provide', 'a', 'quantum', 'benchmark', 'for', 'teleportation', 'and', 'storage', 'of', 'singlemode', 'squeezed', 'states', 'with', 'zero', 'displacement', 'and', 'a', 'completely', 'unknown', 'degree', 'of', 'squeezing', 'along', 'a', 'given', 'direction', 'for', 'pure', 'squeezed', 'input', 'states', 'a', 'fidelity', 'higher', 'than', '815', 'has', 'to', 'be', 'attained', 'in', 'order', 'to', 'outperform', 'any', 'classical', 'strategy', 'based', 'on', 'an', 'estimation', 'of', 'the', 'unknown', 'squeezing', 'and', 'repreparation', 'of', 'squeezed', 'states', 'for', 'squeezed', 'thermal', 'input', 'states', 'we', 'derive', 'an', 'upper', 'and', 'a', 'lower', 'bound', 'on', 'the', 'classical', 'average', 'fidelity', 'which', 'tighten', 'for', 'moderate', 'degree', 'of', 'mixedness', 'these', 'results', 'enable', 'a', 'critical', 'discussion', 'of', 'recent', 'experiments', 'with', 'squeezed', 'light']] | [-0.11895788225288294, 0.22124191668931137, -0.11303715266724479, 0.011684432391752014, 0.020861724933267246, -0.20558534296495573, 0.10686601303774407, 0.3594310584440067, -0.1988561580513547, -0.27910787555180033, 0.08069227791358051, -0.23640690811396559, -0.05721028675610314, 0.28638335154154243, -0.06163747517430052, 0.13110530904817339, 0.08504048941124763, 0.059251895134292104, -0.07292686395195065, -0.2769087201782635, 0.27556004216514374, 0.043197633630871694, 0.3146936906387611, 0.04582841454872063, 0.13610130277158197, 0.01712254357847328, 0.06570576319746597, -0.04642276698248271, -0.14186917910380858, 0.14276283424186084, 0.20933226862333107, 0.12097177685865639, 0.23617064982310546, -0.37707177701653266, -0.18592892362907223, 0.1432324287443593, 0.0889495401168052, 0.19597972908451658, 0.0072745229188846995, -0.31546052831358146, 0.011051734377230917, -0.147670991934375, -0.13198299138635702, -0.11451196641547187, -0.005875201570345279, -0.03296227877655504, -0.2962556455702502, 0.1106380821200924, 0.059971571804917585, 0.058204844619838846, -0.004577515052859576, -0.14804122309979736, -0.02707713070249527, 0.08658479242015402, -0.09379782497393424, 0.038342893717582434, 0.12014983492257188, -0.21385350949380413, -0.16565997205788688, 0.2769574199717644, -0.12217199933380768, -0.2106654480555836, 0.12059875250893778, -0.10122950319961017, -0.07161644896093224, 0.07751823902814364, 0.18137486211062237, 0.1037852051145188, -0.045493625154319615, -0.003093250744443919, -0.034146878564236115, 0.2335092136802684, 0.1350977932440345, 0.1801689866626141, 0.1856377742737912, 0.09477370763577674, 0.14838593227465693, 0.24259921214757107, -0.09739807042369276, -0.09364714313355484, -0.30682593065180946, -0.15435561064300507, -0.251970402684956, 0.10091667043577347, -0.12384738187645372, -0.1414311369786001, 0.40984610856358644, 0.1402175087631414, 0.1561966095100708, 0.062197481463805826, 0.3207571235086237, 0.1518450975228025, -0.00457954603575208, 0.10486751887472157, 0.28715437023463297, 0.18168884928205184, 0.01206495516876481, -0.20782775703427972, 0.044026953806121816, -0.043008511384702006] |
711.3609 | On eigenvalues of rectangular matrices | Given a $(k+1)$-tuple $A, B_1,...,B_k$ of $(m\times n)$-matrices with $m\le
n$ we call the set of all $k$-tuples of complex numbers $\{\la_1,...,\la_k\}$
such that the linear combination $A+\la_1B_1+\la_2B_2+...+\la_kB_k$ has rank
smaller than $m$ the {\it eigenvalue locus} of the latter pencil. Motivated
primarily by applications to multi-parameter generalizations of the
Heine-Stieltjes spectral problem, see \cite{He} and \cite{Vol}, we study a
number of properties of the eigenvalue locus in the most important case
$k=n-m+1$.
| math.AG math.RT math.SP | given a k1tuple a b_1b_k of mtimes nmatrices with mle n we call the set of all ktuples of complex numbers la_1la_k such that the linear combination ala_1b_1la_2b_2la_kb_k has rank smaller than m the it eigenvalue locus of the latter pencil motivated primarily by applications to multiparameter generalizations of the heinestieltjes spectral problem see citehe and citevol we study a number of properties of the eigenvalue locus in the most important case knm1 | [['given', 'a', 'k1tuple', 'a', 'b_1b_k', 'of', 'mtimes', 'nmatrices', 'with', 'mle', 'n', 'we', 'call', 'the', 'set', 'of', 'all', 'ktuples', 'of', 'complex', 'numbers', 'la_1la_k', 'such', 'that', 'the', 'linear', 'combination', 'ala_1b_1la_2b_2la_kb_k', 'has', 'rank', 'smaller', 'than', 'm', 'the', 'it', 'eigenvalue', 'locus', 'of', 'the', 'latter', 'pencil', 'motivated', 'primarily', 'by', 'applications', 'to', 'multiparameter', 'generalizations', 'of', 'the', 'heinestieltjes', 'spectral', 'problem', 'see', 'citehe', 'and', 'citevol', 'we', 'study', 'a', 'number', 'of', 'properties', 'of', 'the', 'eigenvalue', 'locus', 'in', 'the', 'most', 'important', 'case', 'knm1']] | [-0.17511450051679275, 0.05140440861827561, -0.015748177062986153, 0.05074860437640122, -0.07180373092581119, -0.11524109300891204, 0.0013243921924315926, 0.2888034394543086, -0.25863463691868155, -0.253623661691589, 0.1241480558728134, -0.3045763658359647, -0.18896234480198473, 0.18701636647872094, -0.0701568950300238, 0.05628041620532583, 0.04030799338194941, 0.0818585140896695, -0.05618206519034824, -0.25886819729847566, 0.38372061017102427, -0.0074063262636108055, 0.1754148746973702, -0.018178073912193733, 0.07122523059536304, 0.04254212752649827, 0.0021016371502940146, 0.038581627833523924, -0.13256729410880194, 0.13204328916534516, 0.28174633921257086, 0.14874804633935648, 0.2846720467986805, -0.3246067412530205, -0.145043601326844, 0.2562609628907272, 0.14421503046261414, 0.004187561603196497, 0.014053021810416665, -0.19092266593860197, 0.10712696972436138, -0.1287153167051396, -0.18113382464008673, -0.016599826035755022, 0.053467937879863064, 0.022632219758816064, -0.26214711174501903, 0.02873754504003695, 0.08119165224156209, 0.075447424421353, 0.013878833426029554, -0.22859381438632095, -0.02333441771500345, 0.03676164033822715, 0.020413487697286264, -0.012347227118776312, 0.05150005814087178, -0.09485991618462972, -0.0638264654503603, 0.36385255034214686, -0.011282559009643072, -0.2149369585194758, 0.1136673092842102, -0.17384921265100794, -0.16281632450741848, 0.12308946538583508, 0.11333675730441298, 0.17520603096553325, -0.047244970952825885, 0.14365142879126194, -0.155090793661241, 0.13353476343410356, 0.11077107187094433, 0.009364244963840715, 0.12481826063511627, 0.1167969593894668, 0.10291480823153897, 0.1373547642425235, -0.03342124757223896, -0.036938776947291835, -0.28175952918827535, -0.17551425744646362, -0.23084094720127593, 0.12872436099818774, -0.13710377781098942, -0.18983485640159675, 0.40682836236166103, 0.093824661988765, 0.25312379485528386, 0.07056518833019904, 0.2197102114824312, 0.09747425185237911, 0.03816460797762764, 0.07651609616088016, 0.10651637885187354, 0.1971590590829562, -0.0002453235643250602, -0.18126366207642214, -0.00019656305168090123, 0.14732706449659808] |
711.361 | The Navier wall law at a boundary with random roughness | We consider the Navier-Stokes equation in a domain with irregular boundaries.
The irregularity is modeled by a spatially homogeneous random process, with
typical size $\eps \ll 1$. In a parent paper, we derived a homogenized boundary
condition of Navier type as $\eps \to 0$. We show here that for a large class
of boundaries, this Navier condition provides a $O(\eps^{3/2} |\ln
\eps|^{1/2})$ approximation in $L^2$, instead of $O(\eps^{3/2})$ for periodic
irregularities. Our result relies on the study of an auxiliary boundary layer
system. Decay properties of this boundary layer are deduced from a central
limit theorem for dependent variables.
| math.AP physics.class-ph | we consider the navierstokes equation in a domain with irregular boundaries the irregularity is modeled by a spatially homogeneous random process with typical size eps ll 1 in a parent paper we derived a homogenized boundary condition of navier type as eps to 0 we show here that for a large class of boundaries this navier condition provides a oeps32 ln eps12 approximation in l2 instead of oeps32 for periodic irregularities our result relies on the study of an auxiliary boundary layer system decay properties of this boundary layer are deduced from a central limit theorem for dependent variables | [['we', 'consider', 'the', 'navierstokes', 'equation', 'in', 'a', 'domain', 'with', 'irregular', 'boundaries', 'the', 'irregularity', 'is', 'modeled', 'by', 'a', 'spatially', 'homogeneous', 'random', 'process', 'with', 'typical', 'size', 'eps', 'll', '1', 'in', 'a', 'parent', 'paper', 'we', 'derived', 'a', 'homogenized', 'boundary', 'condition', 'of', 'navier', 'type', 'as', 'eps', 'to', '0', 'we', 'show', 'here', 'that', 'for', 'a', 'large', 'class', 'of', 'boundaries', 'this', 'navier', 'condition', 'provides', 'a', 'oeps32', 'ln', 'eps12', 'approximation', 'in', 'l2', 'instead', 'of', 'oeps32', 'for', 'periodic', 'irregularities', 'our', 'result', 'relies', 'on', 'the', 'study', 'of', 'an', 'auxiliary', 'boundary', 'layer', 'system', 'decay', 'properties', 'of', 'this', 'boundary', 'layer', 'are', 'deduced', 'from', 'a', 'central', 'limit', 'theorem', 'for', 'dependent', 'variables']] | [-0.16875292283172408, 0.11210803133280933, -0.07646554439755467, 0.020260461952394355, -0.05495740890425319, -0.126168376460555, 0.029989235582130885, 0.30562472525828827, -0.29627914788822335, -0.23295476839120965, 0.14091743338819165, -0.22860823527056104, -0.12460493247878428, 0.15429229176758477, -0.08814218295932126, 0.0563070651939294, 0.0847413588805163, 0.007212163596705068, -0.05548045859419896, -0.1627494263642196, 0.3863434360124908, -0.05762359039120687, 0.22659485254795678, -0.008779603949127099, 0.06675813060428482, -0.008225700296558594, 0.02632353028457146, 0.02668810272977377, -0.19418843949377637, 0.05955250579427229, 0.18000584053030858, 0.0007514481888695931, 0.268403709322835, -0.4280620522913523, -0.24941761000081897, 0.04322449501584439, 0.15285172790269522, 0.07147918741490382, -0.01980075733687651, -0.2649459042659146, 0.1236296397667805, -0.09786362930511434, -0.22754467691508276, 0.028963726295235876, 0.03007732832338661, 0.042726314847338166, -0.36175877527178574, 0.12733610733024156, 0.11860086523908346, 0.0632425462147997, -0.13375301772612147, -0.10281467461391003, 0.005472223325341474, 0.0821732049316779, 0.011125806579305694, 0.013652017022347232, 0.07061268072478318, -0.13529444210871588, -0.017069646060311545, 0.3367808899881008, -0.09480019254867027, -0.2816448138958852, 0.1902095715801503, -0.14249461644309727, -0.13593957451424407, 0.1104661332986628, 0.17100004032060193, 0.15395469302408551, -0.16022709644554803, 0.12858353089056132, -0.07044626288916334, 0.1927146916180694, 0.0747025706077693, -0.0004421025951160118, 0.10779055936533648, 0.18902101021376438, 0.09474382290500216, 0.18259301743819378, -0.09410762287249479, -0.07460756125025607, -0.3701791933417553, -0.15022194317619628, -0.22650978948513512, 0.10204636522151607, -0.13482506688160356, -0.25254136042591807, 0.32249735901132226, 0.11444171099962357, 0.22729813381981026, 0.06783766769027959, 0.2174691600824493, 0.17027611568240295, 0.004030942281436485, 0.08940584597439738, 0.1700320945941106, 0.13368911950965412, 0.11172286445798818, -0.1749128462082202, 0.04192766691267025, 0.13712614099980178] |
711.3611 | Dicke-like effect in spin-polarized transport through coupled quantum
dots | Spin-dependent electronic transport through a quantum dot side-coupled to two
quantum dots and attached to ferromagnetic leads with collinear (parallel and
antiparallel) magnetizations is analyzed theoretically. The intra-dot Coulomb
correlations are taken into account, whereas the inter-dot ones are neglected.
Transport characteristics, i.e. conductance and tunnel magnetoresistance
associated with the magnetization rotation from parallel to antiparallel
configurations, are calculated by the noneqiulibrium Green function technique.
The Green functions are derived by the equation of motion method in the
Hartree-Fock approximation. The conductance spectra are shown to reveal
features similar to the Dicke resonance in atomic physics.
| cond-mat.mes-hall | spindependent electronic transport through a quantum dot sidecoupled to two quantum dots and attached to ferromagnetic leads with collinear parallel and antiparallel magnetizations is analyzed theoretically the intradot coulomb correlations are taken into account whereas the interdot ones are neglected transport characteristics ie conductance and tunnel magnetoresistance associated with the magnetization rotation from parallel to antiparallel configurations are calculated by the noneqiulibrium green function technique the green functions are derived by the equation of motion method in the hartreefock approximation the conductance spectra are shown to reveal features similar to the dicke resonance in atomic physics | [['spindependent', 'electronic', 'transport', 'through', 'a', 'quantum', 'dot', 'sidecoupled', 'to', 'two', 'quantum', 'dots', 'and', 'attached', 'to', 'ferromagnetic', 'leads', 'with', 'collinear', 'parallel', 'and', 'antiparallel', 'magnetizations', 'is', 'analyzed', 'theoretically', 'the', 'intradot', 'coulomb', 'correlations', 'are', 'taken', 'into', 'account', 'whereas', 'the', 'interdot', 'ones', 'are', 'neglected', 'transport', 'characteristics', 'ie', 'conductance', 'and', 'tunnel', 'magnetoresistance', 'associated', 'with', 'the', 'magnetization', 'rotation', 'from', 'parallel', 'to', 'antiparallel', 'configurations', 'are', 'calculated', 'by', 'the', 'noneqiulibrium', 'green', 'function', 'technique', 'the', 'green', 'functions', 'are', 'derived', 'by', 'the', 'equation', 'of', 'motion', 'method', 'in', 'the', 'hartreefock', 'approximation', 'the', 'conductance', 'spectra', 'are', 'shown', 'to', 'reveal', 'features', 'similar', 'to', 'the', 'dicke', 'resonance', 'in', 'atomic', 'physics']] | [-0.19141229504694868, 0.16061552559564773, -0.04504628402769174, 0.08387986506506996, -0.0016255439063043971, -0.2058644668199122, -0.009463779592739516, 0.42524154582305956, -0.2825365949814257, -0.285392208534636, -0.08708990748824649, -0.3233003859457217, -0.09203733422572871, 0.21616922226783478, 0.08865922616034942, 0.023335931935396632, 0.03769064614255177, -0.049378316861724385, -0.05105842257800855, -0.19257654390492365, 0.2730850687544597, -0.04533671167385029, 0.3136779968871882, 0.06311722991890029, 0.04019267653164111, 0.024989960102462454, 0.1097194330815814, 0.06060070387626949, -0.11586062279774954, 0.044702789628584136, 0.23467569659022908, -0.1411702770396675, 0.1764281633015918, -0.4925418359472563, -0.10846646117340578, -0.036966117393029366, 0.16378564527258277, 0.16091201963442328, 0.006059703417122364, -0.33153194558659665, 0.019672345301430475, -0.11428294155844733, -0.07115343247393244, -0.10756732595006102, -0.03813573034284146, 0.0697483841329813, -0.25881669797787543, 0.09328011858375057, 0.015188287473038624, 0.03260552704726395, -0.04726442509869996, -0.14940997901813766, -0.07081544115453174, 0.08152725772049867, 0.016257601429855353, 0.02414371666596516, 0.18375448649504075, -0.09111844248775589, -0.1444928920974857, 0.3378744620143583, -0.04400013085258635, -0.1773805618090065, 0.12301669587185116, -0.2177053568860222, -0.01222054727963711, 0.16274971176723116, 0.07723839785413522, 0.07316752275648086, -0.20306683679013268, 0.10234006635758927, 0.06428514699402609, 0.08488411618102538, 0.06602371576683301, 0.08862756086317332, 0.2358697710656806, 0.08500559033924028, 0.027560440294052427, 0.16701762169893636, -0.15033802963903567, -0.1855331809505036, -0.2107503842856539, -0.12220133817019431, -0.22113560736179352, 0.11062816671634976, -0.029478542305265653, -0.17775355705862717, 0.39439881383594566, 0.12771419159283764, 0.17496158360307545, -0.05370156847822823, 0.30534608422925597, 0.18070776387558957, 0.10189707782119513, 0.050269498892961756, 0.24018374601084935, 0.262405886871152, 0.1059117430968112, -0.3624552231992742, 0.06207341394436203, 0.02476488961593101] |
711.3612 | XMM-Newton X-ray study of early type stars in the Carina OB1 association | X-ray properties of the stellar population in the Carina OB1 association are
examined with special emphasis on early-type stars. Their spectral
characteristics provide some clues to understanding the nature of X-ray
formation mechanisms in the winds of single and binary early-type stars. A
timing and spectral analysis of five observations with XMM-Newton is performed
using various statistical tests and thermal spectral models. 235 point sources
have been detected within the field of view. Several of these sources are
probably pre-main sequence stars with characteristic short-term variability.
Seven sources are possible background AGNs. Spectral analysis of twenty three
sources of type OB and WR 25 was performed. We derived spectral parameters of
the sources and their fluxes in three energy bands. Estimating the interstellar
absorption for every source and the distance to the nebula, we derived X-ray
luminosities of these stars and compared them to their bolometric luminosities.
We discuss possible reasons for the fact that, on average, the observed X-ray
properties of binary and single early type stars are not very different, and
give several possible explanations.
| astro-ph | xray properties of the stellar population in the carina ob1 association are examined with special emphasis on earlytype stars their spectral characteristics provide some clues to understanding the nature of xray formation mechanisms in the winds of single and binary earlytype stars a timing and spectral analysis of five observations with xmmnewton is performed using various statistical tests and thermal spectral models 235 point sources have been detected within the field of view several of these sources are probably premain sequence stars with characteristic shortterm variability seven sources are possible background agns spectral analysis of twenty three sources of type ob and wr 25 was performed we derived spectral parameters of the sources and their fluxes in three energy bands estimating the interstellar absorption for every source and the distance to the nebula we derived xray luminosities of these stars and compared them to their bolometric luminosities we discuss possible reasons for the fact that on average the observed xray properties of binary and single early type stars are not very different and give several possible explanations | [['xray', 'properties', 'of', 'the', 'stellar', 'population', 'in', 'the', 'carina', 'ob1', 'association', 'are', 'examined', 'with', 'special', 'emphasis', 'on', 'earlytype', 'stars', 'their', 'spectral', 'characteristics', 'provide', 'some', 'clues', 'to', 'understanding', 'the', 'nature', 'of', 'xray', 'formation', 'mechanisms', 'in', 'the', 'winds', 'of', 'single', 'and', 'binary', 'earlytype', 'stars', 'a', 'timing', 'and', 'spectral', 'analysis', 'of', 'five', 'observations', 'with', 'xmmnewton', 'is', 'performed', 'using', 'various', 'statistical', 'tests', 'and', 'thermal', 'spectral', 'models', '235', 'point', 'sources', 'have', 'been', 'detected', 'within', 'the', 'field', 'of', 'view', 'several', 'of', 'these', 'sources', 'are', 'probably', 'premain', 'sequence', 'stars', 'with', 'characteristic', 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711.3613 | Neutron matter at finite temperature | We calculate the neutron matter equation of state at finite temperature based
on low-momentum two- and three-nucleon interactions. The free energy is
obtained from a loop expansion around the Hartree-Fock energy, including
contributions from normal and anomalous diagrams. We focus on densities below
saturation density with temperatures T <= 10 MeV and compare our results to the
model-independent virial equation of state and to variational calculations.
Good agreement with the virial equation of state is found at low density. We
provide simple estimates for the theoretical error, important for
extrapolations to astrophysical conditions.
| nucl-th astro-ph cond-mat.other nucl-ex | we calculate the neutron matter equation of state at finite temperature based on lowmomentum two and threenucleon interactions the free energy is obtained from a loop expansion around the hartreefock energy including contributions from normal and anomalous diagrams we focus on densities below saturation density with temperatures t 10 mev and compare our results to the modelindependent virial equation of state and to variational calculations good agreement with the virial equation of state is found at low density we provide simple estimates for the theoretical error important for extrapolations to astrophysical conditions | [['we', 'calculate', 'the', 'neutron', 'matter', 'equation', 'of', 'state', 'at', 'finite', 'temperature', 'based', 'on', 'lowmomentum', 'two', 'and', 'threenucleon', 'interactions', 'the', 'free', 'energy', 'is', 'obtained', 'from', 'a', 'loop', 'expansion', 'around', 'the', 'hartreefock', 'energy', 'including', 'contributions', 'from', 'normal', 'and', 'anomalous', 'diagrams', 'we', 'focus', 'on', 'densities', 'below', 'saturation', 'density', 'with', 'temperatures', 't', '10', 'mev', 'and', 'compare', 'our', 'results', 'to', 'the', 'modelindependent', 'virial', 'equation', 'of', 'state', 'and', 'to', 'variational', 'calculations', 'good', 'agreement', 'with', 'the', 'virial', 'equation', 'of', 'state', 'is', 'found', 'at', 'low', 'density', 'we', 'provide', 'simple', 'estimates', 'for', 'the', 'theoretical', 'error', 'important', 'for', 'extrapolations', 'to', 'astrophysical', 'conditions']] | [-0.061411013315512755, 0.16850827160068665, -0.11762449267616434, 0.11498789496608483, -0.03359827718541846, -0.07340730252453005, 0.0741839217244769, 0.33448547683656216, -0.16708145869652863, -0.32178912455793063, 0.025453013130058738, -0.344230092778478, 0.012105758423390596, 0.19440817758795279, 0.0804931373315175, 0.045563740615287555, 0.03139167058069016, 0.080536489617573, -0.15412176796235144, -0.1695429230863026, 0.3457420325190153, 0.0495696861560092, 0.25013295303949196, 0.12942116626578828, 0.10004428581780066, -0.03395498549039273, 0.020705773464768477, -0.013771203336427394, -0.23086447628599632, 0.060208189704850236, 0.23885454518882476, -0.025838926960916622, 0.18409969886440947, -0.42365434491480497, -0.20480257438738708, 0.023082079294987994, 0.10392027437236444, 0.13805459441272946, -0.051946429593954235, -0.26804796066742553, 0.0564987748031221, -0.1951170328133942, -0.17733146637455438, -0.1308641145815668, -0.018416737170849483, 0.03289536589189716, -0.26953292406245094, 0.18743003965557917, -0.060672516516996955, 0.011463195239190574, -0.14482568646274993, -0.23096033900409288, -0.013048627683336077, 0.06925990579791529, 0.033315170703091375, 0.045565372677114996, 0.1501190546585586, -0.16743709091299577, -0.03011800453532487, 0.36327746320191934, -0.10206438297324855, -0.10386805210019583, 0.186159439519068, -0.17053821470345493, -0.13105901437001707, 0.16424642617652274, 0.13204519242129248, 0.0849505078971877, -0.14694000397930326, 0.07567239769401646, 0.0354021542842257, 0.1677972014548014, 0.03445490243156319, -0.010810092254241286, 0.17578906538572325, 0.14210281361137395, 0.0383599041758672, 0.06964631153159248, -0.10252085969904842, -0.13533033707948483, -0.345936157877314, -0.06032672574561413, -0.16848570934456328, 0.06112445996183416, -0.11605912425653989, -0.13580402557778617, 0.34348598237999756, 0.16097584138016985, 0.18433626664330444, 0.055707551883128675, 0.3181290930622946, 0.17119115100206767, 0.00738414855795386, 0.10757061225645569, 0.2758428260947213, 0.2244749868683436, 0.0670210971881676, -0.2637722236787617, 0.004529256219267036, 0.07936786376850923] |
711.3614 | Torque magnetometry studies of new low temperature metamagnetic states
in ErNi_{2}B_{2}C | The metamagnetic transitions in single-crystal ErNi$_2$B$_2$C have been
studied at 1.9 K with a Quantum Design torque magnetometer. The critical fields
of the transitions depend crucially on the angle between applied field and the
easy axis [100]. Torque measurements have been made while changing angular
direction of the magnetic field (parallel to basal tetragonal $ab$-planes) in a
wide angular range (more than two quadrants). Sequences of metamagnetic
transitions with increasing field are found to be different for the magnetic
field along (or close enough to) the easy [100] axis from that near the hard
[110] axis. The study have revealed new metamagnetic states in ErNi$_{2}$B$_2$C
which were not apparent in previous longitudinal-magnetization and neutron
studies.
| cond-mat.str-el | the metamagnetic transitions in singlecrystal erni_2b_2c have been studied at 19 k with a quantum design torque magnetometer the critical fields of the transitions depend crucially on the angle between applied field and the easy axis 100 torque measurements have been made while changing angular direction of the magnetic field parallel to basal tetragonal abplanes in a wide angular range more than two quadrants sequences of metamagnetic transitions with increasing field are found to be different for the magnetic field along or close enough to the easy 100 axis from that near the hard 110 axis the study have revealed new metamagnetic states in erni_2b_2c which were not apparent in previous longitudinalmagnetization and neutron studies | [['the', 'metamagnetic', 'transitions', 'in', 'singlecrystal', 'erni_2b_2c', 'have', 'been', 'studied', 'at', '19', 'k', 'with', 'a', 'quantum', 'design', 'torque', 'magnetometer', 'the', 'critical', 'fields', 'of', 'the', 'transitions', 'depend', 'crucially', 'on', 'the', 'angle', 'between', 'applied', 'field', 'and', 'the', 'easy', 'axis', '100', 'torque', 'measurements', 'have', 'been', 'made', 'while', 'changing', 'angular', 'direction', 'of', 'the', 'magnetic', 'field', 'parallel', 'to', 'basal', 'tetragonal', 'abplanes', 'in', 'a', 'wide', 'angular', 'range', 'more', 'than', 'two', 'quadrants', 'sequences', 'of', 'metamagnetic', 'transitions', 'with', 'increasing', 'field', 'are', 'found', 'to', 'be', 'different', 'for', 'the', 'magnetic', 'field', 'along', 'or', 'close', 'enough', 'to', 'the', 'easy', '100', 'axis', 'from', 'that', 'near', 'the', 'hard', '110', 'axis', 'the', 'study', 'have', 'revealed', 'new', 'metamagnetic', 'states', 'in', 'erni_2b_2c', 'which', 'were', 'not', 'apparent', 'in', 'previous', 'longitudinalmagnetization', 'and', 'neutron', 'studies']] | [-0.17748071946379354, 0.21824853635687186, -0.018656590655282662, -0.026947916771301574, -0.10201331554797657, -0.13240244294508574, 0.045791432071526195, 0.46574204055625096, -0.23541587749659493, -0.36893968898476215, 0.06237492597204421, -0.2681106423975475, -0.046120840870252436, 0.22861036498777634, 0.0714892137125788, 0.015477263144005025, -0.026523616793973928, 0.035114024778043755, -0.0977487991494535, -0.18942686547055482, 0.2504619711983475, 0.00882300250375186, 0.3121742116973588, 0.04318818213875618, 0.045679867377896845, -0.011684806318953633, 0.09623467451239233, 0.04068537115266448, -0.1435777370049133, -0.0033220086443817996, 0.2483637190440245, -0.06213898504185572, 0.1729626680250492, -0.4168025149326575, -0.15094377713613907, 0.0403599823424756, 0.14419805325093893, 0.0993375438071477, -0.0475148738474481, -0.2611376258560963, 0.07520767072166659, -0.07067616168090976, -0.11493640138947389, -0.07384875098145322, 0.03199896186369618, 0.03611906192810765, -0.21246457142498051, 0.053877045920224895, 0.05221262894950709, 0.1883252376298371, -0.08456637522842932, -0.15145596854486748, -0.03629147707027171, 0.08034382373494864, 0.1207617264518743, 0.18542575418414026, 0.1796146984040541, -0.06669602532495271, -0.1306605579968738, 0.32403395659894796, -0.013467734889561319, -0.09352337173594717, 0.17176493776864127, -0.2653882970723013, -0.12371137935929653, 0.20911958868402922, 0.15179007804723815, 0.1342178486397882, -0.12101981688388869, 0.0439414853023839, 0.04600874851447563, 0.17031799433262726, 0.08966271188559435, -0.015515394445525058, 0.2951306292966923, 0.08133479434866131, 0.021002267118698608, 0.14023494993626515, -0.1824124018690271, -0.10438276818859506, -0.17708057942473443, -0.15308035035993448, -0.15969550010764547, 0.03067588201826622, -0.08188440187465555, -0.15149793213462098, 0.35789341274485514, 0.17659967728449324, 0.21237154059079394, -0.05831059537676833, 0.25550431965670567, 0.045520634675324946, 0.13447211310369567, 0.06482322256718027, 0.36077859564766024, 0.22874601137326017, 0.18021780065170964, -0.23402812291680133, 0.08017708765947375, -0.08552416304142721] |
711.3615 | Urban segregation with cheap and expensive residences | In this paper we study urban segregation of two different communities A and
B, poor and rich, distributed randomly on finite samples, to check cheap and
expensive residences. For this purpose we avoid the complications of the
Schelling model which are not necessary and instead we use the Ising model on
500 x 500 square lattice, which give similar results, with random magnetic
field at lower and higher temperatures (kT/J = 2.0, 99.0) in finite times equal
to 40, 400, 4000 and 40,000. This random-field Ising magnet is a suitable
model, where each site of the square lattice carries a magnetic field h which
is randomly up (expensive) or down (cheap). The resulting addition to the
energy prefers up spins on the expensive and down spins on the cheap sites. Our
simulations were carried out using a 50-lines FORTRAN program. We present at a
lower temperature (2.0) a time series of pictures, separating growing from
non-growing domains. A small random field (h = +- 0.1) allows for large
domains, while a large random field (h = +- 0.9) allows only small clusters. At
higher temperature (99.0) we could not obtain growing domains.
| physics.soc-ph | in this paper we study urban segregation of two different communities a and b poor and rich distributed randomly on finite samples to check cheap and expensive residences for this purpose we avoid the complications of the schelling model which are not necessary and instead we use the ising model on 500 x 500 square lattice which give similar results with random magnetic field at lower and higher temperatures ktj 20 990 in finite times equal to 40 400 4000 and 40000 this randomfield ising magnet is a suitable model where each site of the square lattice carries a magnetic field h which is randomly up expensive or down cheap the resulting addition to the energy prefers up spins on the expensive and down spins on the cheap sites our simulations were carried out using a 50lines fortran program we present at a lower temperature 20 a time series of pictures separating growing from nongrowing domains a small random field h 01 allows for large domains while a large random field h 09 allows only small clusters at higher temperature 990 we could not obtain growing domains | [['in', 'this', 'paper', 'we', 'study', 'urban', 'segregation', 'of', 'two', 'different', 'communities', 'a', 'and', 'b', 'poor', 'and', 'rich', 'distributed', 'randomly', 'on', 'finite', 'samples', 'to', 'check', 'cheap', 'and', 'expensive', 'residences', 'for', 'this', 'purpose', 'we', 'avoid', 'the', 'complications', 'of', 'the', 'schelling', 'model', 'which', 'are', 'not', 'necessary', 'and', 'instead', 'we', 'use', 'the', 'ising', 'model', 'on', '500', 'x', '500', 'square', 'lattice', 'which', 'give', 'similar', 'results', 'with', 'random', 'magnetic', 'field', 'at', 'lower', 'and', 'higher', 'temperatures', 'ktj', '20', '990', 'in', 'finite', 'times', 'equal', 'to', '40', '400', '4000', 'and', '40000', 'this', 'randomfield', 'ising', 'magnet', 'is', 'a', 'suitable', 'model', 'where', 'each', 'site', 'of', 'the', 'square', 'lattice', 'carries', 'a', 'magnetic', 'field', 'h', 'which', 'is', 'randomly', 'up', 'expensive', 'or', 'down', 'cheap', 'the', 'resulting', 'addition', 'to', 'the', 'energy', 'prefers', 'up', 'spins', 'on', 'the', 'expensive', 'and', 'down', 'spins', 'on', 'the', 'cheap', 'sites', 'our', 'simulations', 'were', 'carried', 'out', 'using', 'a', '50lines', 'fortran', 'program', 'we', 'present', 'at', 'a', 'lower', 'temperature', '20', 'a', 'time', 'series', 'of', 'pictures', 'separating', 'growing', 'from', 'nongrowing', 'domains', 'a', 'small', 'random', 'field', 'h', '01', 'allows', 'for', 'large', 'domains', 'while', 'a', 'large', 'random', 'field', 'h', '09', 'allows', 'only', 'small', 'clusters', 'at', 'higher', 'temperature', '990', 'we', 'could', 'not', 'obtain', 'growing', 'domains']] | [-0.09271539836819913, 0.18768415866117621, -0.007105523342820439, 0.06105762169557951, -0.05051178275922162, -0.14485488243902894, 0.10058909783051727, 0.39878455381557293, -0.22021741482454377, -0.33731455854517783, 0.12449982543475926, -0.2907803080297969, -0.028960116042730372, 0.16702320164170217, 0.012459271932272493, -0.011315167040841, 0.03302445073102324, 0.036636341711493665, -0.06629450891569659, -0.27917763129933865, 0.23636514230905026, 0.033941008698044194, 0.28089249974771124, 0.044308516008124965, 0.11195973550045007, -0.009451212739647441, 0.020089381903007224, 0.038846633537999685, -0.14383618588735525, 0.07552864541184799, 0.19559271166579345, 0.027009913561916028, 0.3035584243769581, -0.44485037314227305, -0.13916758850997163, 0.09390670293438676, 0.13527670694716476, 0.12714076106423966, -0.032713018627082174, -0.21805248745289205, 0.11593929244255698, -0.163767539211423, -0.11363471230945071, -0.06079673833163405, 0.017280602900663744, 0.00035515427432098503, -0.28870926217956316, 0.06495832036047973, 0.014346541927472966, 0.13374297394593423, -0.007020977573041376, -0.14547249405468637, -0.007194174026969719, 0.11028842871782144, -0.004060527601128293, 0.09796074741092083, 0.13544347908448529, -0.07001634304210343, -0.04401762452782006, 0.3836196505741493, -0.06399493458668223, -0.1429205255935321, 0.25177093047170424, -0.17218404554610922, -0.1262438535816162, 0.187909315363504, 0.18840337228706433, 0.1411588459901002, -0.1539061682198096, 0.07174125748743126, -0.02338256406648135, 0.1997843332085255, 0.03753539047682205, -0.04411977883113699, 0.2238922815971278, 0.1609777580606877, 0.07180029347387923, 0.16456168798629095, -0.11900653026847018, -0.07804728984530714, -0.2507688000968129, -0.1194573403084399, -0.19553124187010767, 0.0766780837031547, -0.1453405541337152, -0.15797065710145478, 0.37289098193617287, 0.16914227365113393, 0.2120843995236666, 0.05922396487266933, 0.24097989680547569, 0.04837441491529446, 0.09819625889334979, 0.08671424524304834, 0.13321391532852037, 0.10099516602207881, 0.1320126936959757, -0.13627181053287477, -0.01030972841875376, -0.009297130405399446] |
711.3616 | The helicity constraint in spherical shell dynamos | The motivation for considering distributed large scale dynamos in the solar
context is reviewed in connection with the magnetic helicity constraint.
Preliminary accounts of 3-dimensional direct numerical simulations (in
spherical shell segments) and simulations of 2-dimensional mean field models
(in spherical shells) are presented. Interesting similarities as well as some
differences are noted.
| astro-ph | the motivation for considering distributed large scale dynamos in the solar context is reviewed in connection with the magnetic helicity constraint preliminary accounts of 3dimensional direct numerical simulations in spherical shell segments and simulations of 2dimensional mean field models in spherical shells are presented interesting similarities as well as some differences are noted | [['the', 'motivation', 'for', 'considering', 'distributed', 'large', 'scale', 'dynamos', 'in', 'the', 'solar', 'context', 'is', 'reviewed', 'in', 'connection', 'with', 'the', 'magnetic', 'helicity', 'constraint', 'preliminary', 'accounts', 'of', '3dimensional', 'direct', 'numerical', 'simulations', 'in', 'spherical', 'shell', 'segments', 'and', 'simulations', 'of', '2dimensional', 'mean', 'field', 'models', 'in', 'spherical', 'shells', 'are', 'presented', 'interesting', 'similarities', 'as', 'well', 'as', 'some', 'differences', 'are', 'noted']] | [-0.1424639892395375, 0.13491474861665717, 0.014322218010729214, 0.15771512286781492, -0.05289468966986773, -0.059058470937054394, -0.07690640201546112, 0.4072883244393007, -0.21601845267808661, -0.36195019630820685, 0.09030548162442052, -0.24742796131462422, -0.1634372180187196, 0.20637651576818722, -0.021192712746648433, 0.03272970354641384, 0.07024256903941761, -0.011719207657184804, -0.08848227899662166, -0.1430519416155118, 0.29956440622522934, 0.1138487171803443, 0.23709885227792668, 0.017173974421138893, 0.034500751431310935, -0.06494990885609163, -0.09953591004365457, 0.10223265015080853, -0.13536224053856336, 0.029169017861966254, 0.2054375787367874, 0.06580349969906064, 0.19886660514364266, -0.5060328028322953, -0.2371282333086403, 0.023591156679926055, 0.17839543933470575, 0.07431416691474195, -0.13649573611130691, -0.24235251349098277, 0.04061979297899975, -0.12582782513839808, -0.16691241873744525, -0.0512269183923051, 0.052342821942765336, 0.104717284827581, -0.2315029965819053, 0.12789907687747815, 0.039180728257633746, 0.11228156624853892, -0.09901648568305767, -0.16349389867962533, -0.01721309865649157, 0.12859039340291242, 0.12425496716948473, -0.011260962131310184, 0.1267494492865396, -0.10374134475857301, -0.09047560418411246, 0.43876123055815697, -0.019159886212843768, -0.22226411214906652, 0.1752595159242738, -0.1630584759602569, -0.13668602262184304, 0.09613406905939556, 0.170133289090305, 0.09524896210235245, -0.07870424570480608, 0.102862433669869, -0.08208399018237614, 0.09780971835947262, 0.01884887095119031, -0.02827241004637952, 0.2590836323797703, 0.2141568127422119, -0.056576463991319235, 0.1211575467912656, -0.11763705506499084, -0.195671806142683, -0.35249016897858315, -0.1465996193857688, -0.14590708363168645, -3.588061674304728e-05, -0.1140191776928918, -0.14043469716496063, 0.31404521214371584, 0.08215258079844545, 0.17200102099164757, 0.015847425169821055, 0.2869968437853287, 0.03856779766304173, 0.054631628043387295, 0.0772231402982659, 0.2846625375474654, 0.22102990008468898, 0.10006828349575682, -0.1747748569875323, -0.02890442434768632, 0.03612000115637509] |
711.3617 | Geometrical Domain of Spin 1/2 Probability Mass Function | The quantum analogue of the classical characteristic function for a spin 1/2
assembly is considered and the probability mass function of the random vector
associated with the assembly is derived. It is seen that the positive regions
of Wigner and Margenau-Hill quasi distributions for the three components of
spin, correspond to a trivariate probability mass function. We identify the
domain of these positive regions as an Octahedron inscribed in the Bloch sphere
with its vertices on the surface of the sphere. It is in this domain that a
quantum characteristic function characterizing the quasi distribution, admits a
probability mass function in IR^3 . It is also observed that the classical
variates X1, X2, X3 corresponding to the 3 spin operators
\sigma_1,\sigma_2,\sigma_3 in the domain, are independent iff the Bloch vector
lies on any one of the axes.
| quant-ph | the quantum analogue of the classical characteristic function for a spin 12 assembly is considered and the probability mass function of the random vector associated with the assembly is derived it is seen that the positive regions of wigner and margenauhill quasi distributions for the three components of spin correspond to a trivariate probability mass function we identify the domain of these positive regions as an octahedron inscribed in the bloch sphere with its vertices on the surface of the sphere it is in this domain that a quantum characteristic function characterizing the quasi distribution admits a probability mass function in ir3 it is also observed that the classical variates x1 x2 x3 corresponding to the 3 spin operators sigma_1sigma_2sigma_3 in the domain are independent iff the bloch vector lies on any one of the axes | [['the', 'quantum', 'analogue', 'of', 'the', 'classical', 'characteristic', 'function', 'for', 'a', 'spin', '12', 'assembly', 'is', 'considered', 'and', 'the', 'probability', 'mass', 'function', 'of', 'the', 'random', 'vector', 'associated', 'with', 'the', 'assembly', 'is', 'derived', 'it', 'is', 'seen', 'that', 'the', 'positive', 'regions', 'of', 'wigner', 'and', 'margenauhill', 'quasi', 'distributions', 'for', 'the', 'three', 'components', 'of', 'spin', 'correspond', 'to', 'a', 'trivariate', 'probability', 'mass', 'function', 'we', 'identify', 'the', 'domain', 'of', 'these', 'positive', 'regions', 'as', 'an', 'octahedron', 'inscribed', 'in', 'the', 'bloch', 'sphere', 'with', 'its', 'vertices', 'on', 'the', 'surface', 'of', 'the', 'sphere', 'it', 'is', 'in', 'this', 'domain', 'that', 'a', 'quantum', 'characteristic', 'function', 'characterizing', 'the', 'quasi', 'distribution', 'admits', 'a', 'probability', 'mass', 'function', 'in', 'ir3', 'it', 'is', 'also', 'observed', 'that', 'the', 'classical', 'variates', 'x1', 'x2', 'x3', 'corresponding', 'to', 'the', '3', 'spin', 'operators', 'sigma_1sigma_2sigma_3', 'in', 'the', 'domain', 'are', 'independent', 'iff', 'the', 'bloch', 'vector', 'lies', 'on', 'any', 'one', 'of', 'the', 'axes']] | [-0.13753975803653398, 0.13994770345323357, -0.07883466013310546, 0.07554860135402393, -0.03212807638725887, -0.08223192685249227, -0.002285734194986246, 0.37467851280062286, -0.270981610932008, -0.20371489138299323, 0.09448922714735898, -0.28622981044981216, -0.13118504532785327, 0.18357871714289542, -0.007471689685351319, 0.03723074808259736, -0.007060861192574656, 0.08345136719203934, -0.09610564985519482, -0.2256829375470126, 0.3457084204035777, -0.031183165575688083, 0.23273429127099612, -0.0014869374567987742, 0.14934571883468717, 0.052791953073055654, 0.045222775217283656, -0.026509340545507493, -0.13987023113548747, 0.08338652916459574, 0.189432089648175, 0.11095833931742366, 0.21360618991915276, -0.32635939620021315, -0.16777412001457478, 0.12194656394422054, 0.11508344169361172, 0.03210328925159518, -0.01804007535058729, -0.2390969953491111, 0.08040513405576348, -0.12735296560244427, -0.18554347939099428, 0.007072135306791299, 0.060973477418775915, 0.03250750068713117, -0.25713922740822587, 0.09232454789022018, 0.10398073843507855, 0.007564292048078237, -0.08369513148942065, -0.12909565025388642, -0.05290297583366434, 0.10987671086633646, 0.022390718310122827, 0.11623480221498068, 0.1203193558578345, -0.1055892214782674, -0.11852280228502221, 0.34341665542236083, -0.0451511494608389, -0.2666053515445027, 0.16447720918287007, -0.22952048721274845, -0.08602297889689604, 0.12144451344523717, 0.1109719171361239, 0.11298478311272683, -0.09290378164086077, 0.12636856541158287, -0.08100134688257067, 0.16558946786724307, 0.056167053489911335, 0.022740037773770316, 0.24773592505673014, 0.0869475799854155, 0.10420560692043553, 0.1356188523358907, -0.13623414685026983, -0.12393561488500347, -0.3003604063195073, -0.1918241452149771, -0.25537654676440136, 0.08216149775932233, -0.11591179680264624, -0.20726468950785973, 0.4037998987706723, 0.03357303630715857, 0.24379037891135172, 0.045296512094015876, 0.23865232860876454, 0.16972156310436765, 0.06501619259447411, 0.047156693658756986, 0.18498758966172182, 0.1782336377452507, 0.05291389543563128, -0.22266607579637182, 0.048050853799752616, 0.0634776703323479] |
711.3618 | Complex surface spin polarization of the La0.7Sr0.3MnO3 films | The surface spin polarization in the epitaxial films of a prototype
manganite, La0.7Sr0.3MnO3, has been investigated by Scanning Tunneling
Spectroscopy with ferromagnetic SP tips at room temperature. The manganite
surface splits into ferromagnetic (FM) and paramagnetic(PM) regions
characterized by metallic and insulating like behavior respectively. Spin
polarized spectroscopy with Ni tips has been performed separately for the two
phases, and the results compared with standard W and Pt tips. While PM exhibits
featureless tunneling characteristics, the FM regions exhibit at room
temperature strongly nonlinear behavior with a band-gap like behavior. The spin
resolved density of states of the FM regions of the manganite has been
extracted by the deconvolution of the spectroscopic curves. It indicates very
high spin polarization (nearly halfmetallic behavior) with the spin down band
separated from Fermi level by 0.4 eV. This value corresponds exactly to the gap
value measured for the whole surface of this manganite at low temperatures.
Thus the surface of the La0.7Sr0.3MnO3 films maintain even at room temperature
nano- and micrometric islands of very high spin polarization, while the total
polarization is given by the coverage of the surface by FM regions. This result
is extremely important for spintronic applications of this material and
indicates possible roots for the realization of manganite nanosized devices
with extremely high spin polarization.
| cond-mat.mtrl-sci | the surface spin polarization in the epitaxial films of a prototype manganite la07sr03mno3 has been investigated by scanning tunneling spectroscopy with ferromagnetic sp tips at room temperature the manganite surface splits into ferromagnetic fm and paramagneticpm regions characterized by metallic and insulating like behavior respectively spin polarized spectroscopy with ni tips has been performed separately for the two phases and the results compared with standard w and pt tips while pm exhibits featureless tunneling characteristics the fm regions exhibit at room temperature strongly nonlinear behavior with a bandgap like behavior the spin resolved density of states of the fm regions of the manganite has been extracted by the deconvolution of the spectroscopic curves it indicates very high spin polarization nearly halfmetallic behavior with the spin down band separated from fermi level by 04 ev this value corresponds exactly to the gap value measured for the whole surface of this manganite at low temperatures thus the surface of the la07sr03mno3 films maintain even at room temperature nano and micrometric islands of very high spin polarization while the total polarization is given by the coverage of the surface by fm regions this result is extremely important for spintronic applications of this material and indicates possible roots for the realization of manganite nanosized devices with extremely high spin polarization | [['the', 'surface', 'spin', 'polarization', 'in', 'the', 'epitaxial', 'films', 'of', 'a', 'prototype', 'manganite', 'la07sr03mno3', 'has', 'been', 'investigated', 'by', 'scanning', 'tunneling', 'spectroscopy', 'with', 'ferromagnetic', 'sp', 'tips', 'at', 'room', 'temperature', 'the', 'manganite', 'surface', 'splits', 'into', 'ferromagnetic', 'fm', 'and', 'paramagneticpm', 'regions', 'characterized', 'by', 'metallic', 'and', 'insulating', 'like', 'behavior', 'respectively', 'spin', 'polarized', 'spectroscopy', 'with', 'ni', 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'la07sr03mno3', 'films', 'maintain', 'even', 'at', 'room', 'temperature', 'nano', 'and', 'micrometric', 'islands', 'of', 'very', 'high', 'spin', 'polarization', 'while', 'the', 'total', 'polarization', 'is', 'given', 'by', 'the', 'coverage', 'of', 'the', 'surface', 'by', 'fm', 'regions', 'this', 'result', 'is', 'extremely', 'important', 'for', 'spintronic', 'applications', 'of', 'this', 'material', 'and', 'indicates', 'possible', 'roots', 'for', 'the', 'realization', 'of', 'manganite', 'nanosized', 'devices', 'with', 'extremely', 'high', 'spin', 'polarization']] | [-0.13209974154570076, 0.21019264900417955, -0.04401037015215775, -0.030856143585731122, 0.013331983721446852, -0.17248624659056755, 0.07056829355072317, 0.42915019980350205, -0.23281233829207892, -0.33758663566739755, 0.04490723998643198, -0.3455662395458582, -0.042516713862329025, 0.20513456235450236, 0.05882057191067657, 0.008362159931519187, -0.0414974725220439, -0.088034447160452, -0.12345637232850327, 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711.3619 | Thermal History of Solid 4He Under Oscillation | We have studied the thermal history of the resonant frequency of a torsional
oscillator containing solid 4He. We find that the magnitude of the frequency
shift that occurs below 100 mK is multivalued in the low temperature limit,
with the exact value depending on how the state is prepared. This result can be
qualitatively explained in terms of the motion and pinning of quantized
vortices within the sample. Several aspects of the data are also consistent
with the response of dislocation lines to oscillating stress fields imposed on
the solid.
| cond-mat.stat-mech cond-mat.other | we have studied the thermal history of the resonant frequency of a torsional oscillator containing solid 4he we find that the magnitude of the frequency shift that occurs below 100 mk is multivalued in the low temperature limit with the exact value depending on how the state is prepared this result can be qualitatively explained in terms of the motion and pinning of quantized vortices within the sample several aspects of the data are also consistent with the response of dislocation lines to oscillating stress fields imposed on the solid | [['we', 'have', 'studied', 'the', 'thermal', 'history', 'of', 'the', 'resonant', 'frequency', 'of', 'a', 'torsional', 'oscillator', 'containing', 'solid', '4he', 'we', 'find', 'that', 'the', 'magnitude', 'of', 'the', 'frequency', 'shift', 'that', 'occurs', 'below', '100', 'mk', 'is', 'multivalued', 'in', 'the', 'low', 'temperature', 'limit', 'with', 'the', 'exact', 'value', 'depending', 'on', 'how', 'the', 'state', 'is', 'prepared', 'this', 'result', 'can', 'be', 'qualitatively', 'explained', 'in', 'terms', 'of', 'the', 'motion', 'and', 'pinning', 'of', 'quantized', 'vortices', 'within', 'the', 'sample', 'several', 'aspects', 'of', 'the', 'data', 'are', 'also', 'consistent', 'with', 'the', 'response', 'of', 'dislocation', 'lines', 'to', 'oscillating', 'stress', 'fields', 'imposed', 'on', 'the', 'solid']] | [-0.15016024362606306, 0.23218693033688598, -0.0462129229058822, -0.01914132157754567, -0.03132481131599181, -0.05649066548277107, 0.06240805263320605, 0.3689551367527909, -0.23865260355588463, -0.2923930473936101, 0.08224499790360117, -0.2557438785210252, -0.07258291897984842, 0.21157700542567504, -0.016759301357281705, -0.012888296341730488, 0.0026445856214397483, 0.08862007701665991, -0.06498667840949363, -0.20077358472367957, 0.30203657254783645, 0.03233428282870187, 0.29420731800297895, 0.04559650853690174, 0.07692483928597843, -0.0647190983277849, 0.05011210915011664, 0.06254988811496232, -0.1533812077982778, 0.05770451303364502, 0.22068434095838005, 0.0002141506928536627, 0.1935072525818315, -0.45824798487293367, -0.19737904721146657, 0.07722880422241157, 0.11623981578482522, 0.13555528581556348, -0.002088270551111135, -0.24747441713180807, 0.04026380896878739, -0.11352372961118817, -0.15281427550750473, -0.03617289286727707, 0.024252120741746493, 0.0475891426179765, -0.21138665959652927, 0.15427213019089928, 0.07383575594544203, 0.07216366428054041, -0.12428544346346623, -0.11292834749134878, -0.05436577800040444, 0.08024001866579056, 0.05807722125512858, 0.0297014981870436, 0.19792896859968703, -0.1388384357896737, -0.0762395845622652, 0.365738465219167, -0.10580148396806585, -0.1401044175028801, 0.16220507538463508, -0.18276857445016503, -0.06699733776040376, 0.1658114656042825, 0.13824507612217632, 0.0868983178671139, -0.11707285615460326, 0.04746309235504466, -0.02213161163445976, 0.1847683335111166, 0.1123974507338264, 0.037770199209141236, 0.22507723590954104, 0.1879113919981238, 0.0056403101654723285, 0.1588212188585506, -0.13145474767726328, -0.08960526308769154, -0.3048675528417031, -0.10049999143488499, -0.18854580704743665, 0.04468274029851374, -0.07203025399794569, -0.1796076082210574, 0.4048242488255103, 0.14511161239093376, 0.20636536032220143, 0.00038324008799261517, 0.2570516397141748, 0.17773878034204244, 0.05282278657994337, 0.02964208859225942, 0.31806580167677667, 0.16226986561798387, 0.11461482758944233, -0.28552500000482217, 0.04456813277987142, -0.008950462397317298] |
711.362 | A Representation of Multiplicative Arithmetic Functions by Symmetric
Polynomials | We give a representation of the classical theory of multiplicative arithmetic
functions (MF)in the ring of symmetric polynomials. The basis of the ring of
symmetric polynomials that we use is the isobaric basis, a basis especially
sensitive to the combinatorics of partitions of the integers. The representing
elements are recursive sequences of Schur polynomials evaluated at subrings of
the complex numbers. The multiplicative arithmetic functions are units in the
Dirichlet ring of arithmetic functions, and their properties can be described
locally, that is, at each prime number $p$. Our representation is, hence, a
local representation. One such representing sequence is the sequence of
generalized Fibonacci polynomials. In general the sequences consist of
Schur-hook polynomials. This representation enables us to clarify and
generalize classical results, e.g., the Busche-Ramanujan identity, as well as
to give a richer structural description of the convolution group of
multiplicative functions. It is a consequence of the representation that the
MF's can be defined in a natural way on the negative powers of the prime $p$.
| math.NT | we give a representation of the classical theory of multiplicative arithmetic functions mfin the ring of symmetric polynomials the basis of the ring of symmetric polynomials that we use is the isobaric basis a basis especially sensitive to the combinatorics of partitions of the integers the representing elements are recursive sequences of schur polynomials evaluated at subrings of the complex numbers the multiplicative arithmetic functions are units in the dirichlet ring of arithmetic functions and their properties can be described locally that is at each prime number p our representation is hence a local representation one such representing sequence is the sequence of generalized fibonacci polynomials in general the sequences consist of schurhook polynomials this representation enables us to clarify and generalize classical results eg the buscheramanujan identity as well as to give a richer structural description of the convolution group of multiplicative functions it is a consequence of the representation that the mfs can be defined in a natural way on the negative powers of the prime p | [['we', 'give', 'a', 'representation', 'of', 'the', 'classical', 'theory', 'of', 'multiplicative', 'arithmetic', 'functions', 'mfin', 'the', 'ring', 'of', 'symmetric', 'polynomials', 'the', 'basis', 'of', 'the', 'ring', 'of', 'symmetric', 'polynomials', 'that', 'we', 'use', 'is', 'the', 'isobaric', 'basis', 'a', 'basis', 'especially', 'sensitive', 'to', 'the', 'combinatorics', 'of', 'partitions', 'of', 'the', 'integers', 'the', 'representing', 'elements', 'are', 'recursive', 'sequences', 'of', 'schur', 'polynomials', 'evaluated', 'at', 'subrings', 'of', 'the', 'complex', 'numbers', 'the', 'multiplicative', 'arithmetic', 'functions', 'are', 'units', 'in', 'the', 'dirichlet', 'ring', 'of', 'arithmetic', 'functions', 'and', 'their', 'properties', 'can', 'be', 'described', 'locally', 'that', 'is', 'at', 'each', 'prime', 'number', 'p', 'our', 'representation', 'is', 'hence', 'a', 'local', 'representation', 'one', 'such', 'representing', 'sequence', 'is', 'the', 'sequence', 'of', 'generalized', 'fibonacci', 'polynomials', 'in', 'general', 'the', 'sequences', 'consist', 'of', 'schurhook', 'polynomials', 'this', 'representation', 'enables', 'us', 'to', 'clarify', 'and', 'generalize', 'classical', 'results', 'eg', 'the', 'buscheramanujan', 'identity', 'as', 'well', 'as', 'to', 'give', 'a', 'richer', 'structural', 'description', 'of', 'the', 'convolution', 'group', 'of', 'multiplicative', 'functions', 'it', 'is', 'a', 'consequence', 'of', 'the', 'representation', 'that', 'the', 'mfs', 'can', 'be', 'defined', 'in', 'a', 'natural', 'way', 'on', 'the', 'negative', 'powers', 'of', 'the', 'prime', 'p']] | [-0.17380417404568843, 0.09632646876464908, -0.12776353254005135, 0.08386748825155553, -0.0793592044654014, -0.07767236812893923, -0.014900878496562308, 0.30193050205153193, -0.3637160030997447, -0.21475956929359763, 0.0723427255836127, -0.233038793567435, -0.17677855786556998, 0.19655720875155003, -0.06739855987585283, 0.009182332736340218, 0.004475340892982092, 0.11129389284178615, -0.09808987006683656, -0.2698361716188845, 0.3495420727274558, 0.009085947738467007, 0.18830582455155395, -0.01962938932631784, 0.07823842023970515, 0.005684789433698391, -0.04762243740476281, -0.04356010212740373, -0.07919338987210808, 0.1559106201221723, 0.28447089654703933, 0.12041003763997218, 0.2502013636084961, -0.4029830315128146, -0.10952971347918113, 0.16914396788481445, 0.13230669921306668, 0.03581596531217829, 0.005827402657901291, -0.22301238942392437, 0.12897308627864168, -0.1651908442670122, -0.1530493428777152, -0.10149751162333857, 0.031513777907959936, 0.12258733398838169, -0.3140008813795811, 0.022968431735145196, 0.09512912109424915, 0.11251645447919145, -0.019377101051975928, -0.16072317937851904, 0.020810530157870658, 0.11578582038470943, -0.03623248357464382, 0.03270946361590177, 0.09291488127893813, -0.1150758796110971, -0.12146373116549858, 0.3833896704461603, -0.014743573646271779, -0.25410115198991706, 0.13465099431396949, -0.17415380385050194, -0.1463143564649813, 0.09836822997091249, 0.10596591525522638, 0.12741751096161483, -0.048008573812521285, 0.1337502599920169, -0.14775929426486117, 0.12998471504293516, 0.12820090497067818, 0.0709612456242515, 0.17678073585903759, 0.06014212662176717, 0.01818277348588925, 0.17946414434395375, 0.012560711886700509, -0.0700704796195385, -0.3099560090784161, -0.17928434539741525, -0.1981854915156007, 0.0700622889132882, -0.14802465576195528, -0.22429670584166334, 0.443385225393632, 0.05937226097670473, 0.17174338788304122, 0.10402260706870861, 0.23560841514526623, 0.15744860341337266, 0.09356503837209727, 0.006051038350311241, 0.07374107636405824, 0.2165356993431314, -0.0027631138481887148, -0.1391703028999646, 0.04298678607474791, 0.1706492875237018] |
711.3621 | Gibbsianness versus Non-Gibbsianness of time-evolved planar rotor models | We study the Gibbsian character of time-evolved planar rotor systems on Z^d,
d at least 2, in the transient regime, evolving with stochastic dynamics and
starting with an initial Gibbs measure. We model the system by interacting
Brownian diffusions, moving on circles. We prove that for small times and
arbitrary initial Gibbs measures \nu, or for long times and both high- or
infinite-temperature measure and dynamics, the evolved measure \nu^t stays
Gibbsian. Furthermore we show that for a low-temperature initial measure \nu,
evolving under infinite-temperature dynamics thee is a time interval (t_0, t_1)
such that \nu^t fails to be Gibbsian in d=2.
| math-ph math.MP math.PR | we study the gibbsian character of timeevolved planar rotor systems on zd d at least 2 in the transient regime evolving with stochastic dynamics and starting with an initial gibbs measure we model the system by interacting brownian diffusions moving on circles we prove that for small times and arbitrary initial gibbs measures nu or for long times and both high or infinitetemperature measure and dynamics the evolved measure nut stays gibbsian furthermore we show that for a lowtemperature initial measure nu evolving under infinitetemperature dynamics thee is a time interval t_0 t_1 such that nut fails to be gibbsian in d2 | [['we', 'study', 'the', 'gibbsian', 'character', 'of', 'timeevolved', 'planar', 'rotor', 'systems', 'on', 'zd', 'd', 'at', 'least', '2', 'in', 'the', 'transient', 'regime', 'evolving', 'with', 'stochastic', 'dynamics', 'and', 'starting', 'with', 'an', 'initial', 'gibbs', 'measure', 'we', 'model', 'the', 'system', 'by', 'interacting', 'brownian', 'diffusions', 'moving', 'on', 'circles', 'we', 'prove', 'that', 'for', 'small', 'times', 'and', 'arbitrary', 'initial', 'gibbs', 'measures', 'nu', 'or', 'for', 'long', 'times', 'and', 'both', 'high', 'or', 'infinitetemperature', 'measure', 'and', 'dynamics', 'the', 'evolved', 'measure', 'nut', 'stays', 'gibbsian', 'furthermore', 'we', 'show', 'that', 'for', 'a', 'lowtemperature', 'initial', 'measure', 'nu', 'evolving', 'under', 'infinitetemperature', 'dynamics', 'thee', 'is', 'a', 'time', 'interval', 't_0', 't_1', 'such', 'that', 'nut', 'fails', 'to', 'be', 'gibbsian', 'in', 'd2']] | [-0.15214644697513066, 0.2654015762223828, -0.12083643097339161, 0.07704648221203801, 0.06531318181249149, -0.19674476282671094, 0.04728383376741298, 0.4005291437109311, -0.25116652933259803, -0.20853199247572132, 0.09863669961900907, -0.2956079741684245, -0.06214767504099976, 0.1375821840643481, -0.01960914930346988, 0.05438519923892968, 0.059833815111322144, 0.07361258549716178, -0.05007643580171919, -0.18544749369589136, 0.29879342834921735, -0.01081181382395181, 0.23903948392755553, -0.003057401922335118, 0.16350954802542486, 0.01203286872181457, 0.05896174358477926, 0.04526787239364257, -0.22522690423697805, -0.010408299016382764, 0.13616453721096702, 0.06907381744388782, 0.2338741064053394, -0.38236757203498306, -0.2047656667418778, 0.17261504731597563, 0.10456867957705696, 0.09443857446860741, 0.009298425756723565, -0.31002810370980527, 0.056766373406657404, -0.12455595743741986, -0.19113040037051426, -0.08839763154951381, 0.13693769749107898, 0.04767958693635449, -0.2674375946323077, 0.11031166932376686, 0.09343219776729159, 0.047333886664287714, -0.09109271756902922, -0.06423932426682144, -0.013555272021239587, 0.11686388510918501, 0.015840264108013726, 0.0813625588734616, 0.1665680156427198, -0.06845241189733439, -0.1094100448010745, 0.3344772452232884, -0.13791798778088288, -0.23237831950845086, 0.24512573696819007, -0.2541405711295631, -0.15538896442226627, 0.10369318960161478, 0.1516892447948967, 0.11714092143423234, -0.12557718989110606, 0.12322833950804803, 0.006396899602430708, 0.138542223429563, 0.05610095263075303, -0.007982304817357776, 0.17288009193269352, 0.1657362617871852, 0.14108574279930955, 0.1545793941397421, -0.07154052122039538, -0.18355244650121996, -0.28624360519004804, -0.13261324707783906, -0.22188627351002366, 0.16190639728972434, -0.13505655118462848, -0.19018816043093217, 0.31634954343020333, 0.12686852376688929, 0.21061840348457003, 0.12061695901987453, 0.18754208677758774, 0.147073465133515, -0.06925026761532269, 0.12929155998041525, 0.09834134252741933, 0.09130431171369684, 0.0744078311539602, -0.22445568772416344, 0.04141331058196431, 0.052161102936438775] |
711.3622 | Recent results for Yang-Mills theory restricted to the Gribov region | We summarize recent results for the Gribov-Zwanziger Lagrangian which
includes the effect of restricting the path integral to the first Gribov
region. These include the two loop MSbar and one loop MOM gap equations for the
Gribov mass.
| hep-th | we summarize recent results for the gribovzwanziger lagrangian which includes the effect of restricting the path integral to the first gribov region these include the two loop msbar and one loop mom gap equations for the gribov mass | [['we', 'summarize', 'recent', 'results', 'for', 'the', 'gribovzwanziger', 'lagrangian', 'which', 'includes', 'the', 'effect', 'of', 'restricting', 'the', 'path', 'integral', 'to', 'the', 'first', 'gribov', 'region', 'these', 'include', 'the', 'two', 'loop', 'msbar', 'and', 'one', 'loop', 'mom', 'gap', 'equations', 'for', 'the', 'gribov', 'mass']] | [-0.17065338080895967, 0.14789498422454161, -0.09552739697851632, 0.11777813333135687, -0.16411818514921164, -0.03748527508057458, 0.0510870236903429, 0.3313677533480682, -0.18183239872910475, -0.2869225292907734, 0.0755929773011686, -0.2403113165576207, -0.09184452974678654, 0.14268190590174576, -0.061958183418793944, 0.08166395490498919, 0.07418750385802828, 0.03076488306549819, -0.07536473949317281, -0.2508659885559035, 0.43346475927453293, -0.012267822644820339, 0.1631016033260446, 0.16690437297189706, 0.11126167856548962, 0.04708046410968037, -0.10022896447366006, 0.007036180725615276, -0.14318740838911923, 0.08223575607898008, 0.1920852417028264, -0.022281108840711807, 0.22132221374072528, -0.38494182294724805, -0.22695779170546876, -0.024912981046853883, 0.15164712767459845, 0.11486568827316851, -0.014086005253423201, -0.29348623056552914, 0.03146713999051012, -0.21848682684235668, -0.1506234987295772, -0.04716756351684269, -0.07566335454191032, -0.11962096402911764, -0.24922878590510472, 0.05228542029171398, -0.011165854128959932, -0.08912917333777602, -0.05820964475309378, -0.19041105820552298, -0.015258204498279252, 0.18199792102371393, 0.12887117942476548, 0.08776146568063843, 0.09988803575795732, -0.15656570011847898, -0.13596559146811305, 0.36432311046672494, 0.0036921945253485127, -0.18293678537501315, 0.053479897176944895, -0.16419046984887437, -0.17818309810306682, 0.13267099933306636, 0.03837395143254023, 0.16691436641849577, -0.18922747017227506, 0.17015731917835134, -0.023275472076707764, 0.08314064424484968, 0.0817294848200522, 0.04352020781095091, 0.1204257407158653, 0.11024961569101403, 0.04805215810866732, 0.14557785172579124, -0.10990726637445684, -0.24938988648845176, -0.4515854022220561, -0.13564520309630193, -0.060699286135403735, -0.026975280066069803, -0.12882790426489296, -0.14264779404344918, 0.3723318931695662, 0.18783592766052798, 0.17695780515082574, 0.06315000022234592, 0.30897358746120807, 0.14656750122575382, 0.15298026653104707, 0.04216766560842332, 0.2767277859445465, 0.13796659679103054, 0.08613673489736884, -0.34604894296315153, -0.13100979181533484, 0.2204172233315675] |
711.3623 | Dislocation Glasses: Aging during Relaxation and Coarsening | The dynamics of dislocations is reported to exhibit glassy properties. We
study numerically various versions of 2d edge dislocation systems in the
absence of externally applied stress. Two types of glassy behavior are
identified: (i) dislocations gliding along randomly placed, but fixed, axes
exhibit relaxation to their spatially disordered stable state; (ii) if both
climb and annihilation is allowed, irregular cellular structures can form on a
growing length scale before all dislocations annihilate. In all cases both the
correlation function and the diffusion coefficient are found to exhibit aging.
Relaxation in case (i) is a slow power law. In the transient process of (ii)
the dynamical exponent z is about 6, which compares favorably to experiments on
diblock co-polymers.
| cond-mat.dis-nn cond-mat.soft | the dynamics of dislocations is reported to exhibit glassy properties we study numerically various versions of 2d edge dislocation systems in the absence of externally applied stress two types of glassy behavior are identified i dislocations gliding along randomly placed but fixed axes exhibit relaxation to their spatially disordered stable state ii if both climb and annihilation is allowed irregular cellular structures can form on a growing length scale before all dislocations annihilate in all cases both the correlation function and the diffusion coefficient are found to exhibit aging relaxation in case i is a slow power law in the transient process of ii the dynamical exponent z is about 6 which compares favorably to experiments on diblock copolymers | [['the', 'dynamics', 'of', 'dislocations', 'is', 'reported', 'to', 'exhibit', 'glassy', 'properties', 'we', 'study', 'numerically', 'various', 'versions', 'of', '2d', 'edge', 'dislocation', 'systems', 'in', 'the', 'absence', 'of', 'externally', 'applied', 'stress', 'two', 'types', 'of', 'glassy', 'behavior', 'are', 'identified', 'i', 'dislocations', 'gliding', 'along', 'randomly', 'placed', 'but', 'fixed', 'axes', 'exhibit', 'relaxation', 'to', 'their', 'spatially', 'disordered', 'stable', 'state', 'ii', 'if', 'both', 'climb', 'and', 'annihilation', 'is', 'allowed', 'irregular', 'cellular', 'structures', 'can', 'form', 'on', 'a', 'growing', 'length', 'scale', 'before', 'all', 'dislocations', 'annihilate', 'in', 'all', 'cases', 'both', 'the', 'correlation', 'function', 'and', 'the', 'diffusion', 'coefficient', 'are', 'found', 'to', 'exhibit', 'aging', 'relaxation', 'in', 'case', 'i', 'is', 'a', 'slow', 'power', 'law', 'in', 'the', 'transient', 'process', 'of', 'ii', 'the', 'dynamical', 'exponent', 'z', 'is', 'about', '6', 'which', 'compares', 'favorably', 'to', 'experiments', 'on', 'diblock', 'copolymers']] | [-0.15906518227772928, 0.2135917377587752, -0.06395593247212031, 0.021472299718589667, -0.02532368466823495, -0.1715524092447717, -0.02494901741127006, 0.4298412547456081, -0.2902764651666106, -0.2324726130018997, 0.07750876006052024, -0.2954934500783932, -0.1579121338485294, 0.12534130821708872, 0.02546719997581251, 0.04366319412130769, -0.011379535822589108, -0.0021757211794434976, -0.03511962485489897, -0.2462778145431721, 0.23473322882215267, -0.005995228440508622, 0.32582801208878326, -0.009604311802526232, 0.01739288034101463, -0.012093572219943298, 0.01986964259535356, 0.0675552069521679, -0.17269850790719776, 0.017686909045084936, 0.20353578636814065, -0.01646394288840414, 0.19420226864094117, -0.47156293993862736, -0.2014782920855434, 0.0722759460341655, 0.1734213522403548, 0.10630089194345593, -0.01819452629502894, -0.24490948609749497, 0.11049360911823622, -0.09337556695745584, -0.1451056958058802, -0.045456534353311824, 0.06257710478292043, 0.07680720735356963, -0.22244559023372767, 0.15859887813718818, 0.06326425730660676, 0.05285217141842141, -0.11104741625824333, -0.08218810467065132, -0.05117406275127271, 0.085612516912843, 0.07100261694300693, -0.04131501490649368, 0.20970401602225894, -0.1257714509666592, -0.12013349234480646, 0.3803069774891023, -0.008169582022643578, -0.1654067808183051, 0.2562801378638241, -0.13973070819619574, -0.12052979175502262, 0.20334564286338933, 0.15959345476560982, 0.08928322966706777, -0.1334247869408118, 0.04415268994801279, 0.020213281735777855, 0.1535620253079203, 0.07452662553082556, 0.011545492954426953, 0.2155877739903243, 0.1726973874087469, 0.03521726719405064, 0.15139606777782075, -0.11113940481832173, -0.15956608649977178, -0.25991322565823793, -0.14260504013729602, -0.16822820497058458, 0.053604653502321416, -0.08190055326886374, -0.1886806468774776, 0.3435466112784196, 0.08408162664199452, 0.22573374172656976, 0.05473847651145883, 0.16816912464280964, 0.0765187093663272, 0.05680291432722965, 0.07422419814119006, 0.20738805301424837, 0.13765956078628627, 0.1118731822763734, -0.2509904612685327, 0.10818829898088544, 0.03342819123865426] |
711.3624 | A C-13(alpha,n)O-16 calibration source for KamLAND | We report on the construction and performance of a calibration source for
KamLAND using the reaction C-13(alpha,n)O-16 with Po-210 as the alpha
progenitor. The source provides a direct measurement of this background
reaction in our detector, high energy calibration points for the detector
energy scale, and data on quenching of the neutron visible energy in KamLAND
scintillator. We also discuss the possibility of using the reaction
C-13(alpha,n)O-16 as a source of tagged slow neutrons.
| physics.ins-det | we report on the construction and performance of a calibration source for kamland using the reaction c13alphano16 with po210 as the alpha progenitor the source provides a direct measurement of this background reaction in our detector high energy calibration points for the detector energy scale and data on quenching of the neutron visible energy in kamland scintillator we also discuss the possibility of using the reaction c13alphano16 as a source of tagged slow neutrons | [['we', 'report', 'on', 'the', 'construction', 'and', 'performance', 'of', 'a', 'calibration', 'source', 'for', 'kamland', 'using', 'the', 'reaction', 'c13alphano16', 'with', 'po210', 'as', 'the', 'alpha', 'progenitor', 'the', 'source', 'provides', 'a', 'direct', 'measurement', 'of', 'this', 'background', 'reaction', 'in', 'our', 'detector', 'high', 'energy', 'calibration', 'points', 'for', 'the', 'detector', 'energy', 'scale', 'and', 'data', 'on', 'quenching', 'of', 'the', 'neutron', 'visible', 'energy', 'in', 'kamland', 'scintillator', 'we', 'also', 'discuss', 'the', 'possibility', 'of', 'using', 'the', 'reaction', 'c13alphano16', 'as', 'a', 'source', 'of', 'tagged', 'slow', 'neutrons']] | [-0.05581255161480324, 0.13928201255967487, -0.07484175420068896, 0.06151255921655763, -0.009933801946809163, -0.06696136238846324, 0.08561293729203376, 0.3358477841357927, -0.20386773707798203, -0.362657095859381, 0.044711366921940165, -0.34591706740242, 0.02221899840829743, 0.24565716614518818, -0.00160944475666494, 0.06479199883855276, 0.1342023043213664, 0.04026867536752409, -0.0735923893768592, -0.14117691413077801, 0.286168187051206, 0.19091115232456374, 0.25172005382341306, 0.09353079845675745, 0.16857416252762936, -0.0025973168635942245, -0.06097107189329895, -0.09361069785380685, -0.10270730014009452, 0.03907873324823339, 0.26122899211917977, 0.1337098735636352, 0.10276656806141742, -0.3909141664468759, -0.19921835939473836, 0.07541192140952507, 0.08913237674514184, 0.06856169360312256, -0.13817777125026426, -0.2792307486807978, 0.027358034273257125, -0.20739970314694015, -0.10962744574440089, 0.011799591388930945, -0.020992599383651, 0.0548099548165762, -0.251546402411485, 0.06791737329213238, -0.006032587406603065, 0.04734358261968639, -0.09276540757383446, -0.1291604155448039, 0.03388094329715681, 0.07302708545624204, 0.05392830947263015, 0.019833187528215727, 0.1723538826320421, -0.1248652744767684, -0.04893334002259213, 0.3496707046052089, -0.08365771558778393, -0.15690860503378348, 0.13822952593752258, -0.1410183302705755, -0.13236245272580432, 0.1613567906645806, 0.18529219064559485, 0.1029336939037249, -0.18524670220810818, 0.025686934362228558, 0.03877194895333535, 0.20942203745850035, 0.08259521676164523, 0.015640268291069848, 0.1780184496829689, 0.3086876838996604, 0.04388245689128903, 0.09924991177143277, -0.26537801760148155, 0.013616280498083782, -0.3698166067573569, -0.15771793955944893, -0.13924935551964351, 0.10653274128767284, -0.08074368961624222, -0.12139753946984136, 0.37874106768317317, 0.08803620228443194, 0.17389060707913861, -0.03217003814171295, 0.32052827831609426, 0.02513649982142237, 0.037259700299064454, 0.021148528438061476, 0.3145756232803939, 0.09027503820677363, 0.14009013405774493, -0.27508175780845656, 0.059129358898546244, -0.0025087547790561176] |
711.3625 | First Colonization of a Spectral Outpost in Random Matrix Theory | We describe the distribution of the first finite number of eigenvalues in a
newly-forming band of the spectrum of the random Hermitean matrix model. The
method is rigorously based on the Riemann-Hilbert analysis of the corresponding
orthogonal polynomials. We provide an analysis with an error term of order
N^(-2 h) where 1/h = 2 nu+2 is the exponent of non-regularity of the effective
potential, thus improving even in the usual case the analysis of the pertinent
literature. The behavior of the first finite number of zeroes (eigenvalues)
appearing in the new band is analyzed and connected with the location of the
zeroes of certain Freud polynomials. In general all these newborn zeroes
approach the point of nonregularity at the rate N^(-h) whereas one (a stray
zero) lags behind at a slower rate of approach. The kernels for the correlator
functions in the scaling coordinate near the emerging band are provided
together with the subleading term: in particular the transition between K and
K+1 eigenvalues is analyzed in detail.
| math-ph math.MP | we describe the distribution of the first finite number of eigenvalues in a newlyforming band of the spectrum of the random hermitean matrix model the method is rigorously based on the riemannhilbert analysis of the corresponding orthogonal polynomials we provide an analysis with an error term of order n2 h where 1h 2 nu2 is the exponent of nonregularity of the effective potential thus improving even in the usual case the analysis of the pertinent literature the behavior of the first finite number of zeroes eigenvalues appearing in the new band is analyzed and connected with the location of the zeroes of certain freud polynomials in general all these newborn zeroes approach the point of nonregularity at the rate nh whereas one a stray zero lags behind at a slower rate of approach the kernels for the correlator functions in the scaling coordinate near the emerging band are provided together with the subleading term in particular the transition between k and k1 eigenvalues is analyzed in detail | [['we', 'describe', 'the', 'distribution', 'of', 'the', 'first', 'finite', 'number', 'of', 'eigenvalues', 'in', 'a', 'newlyforming', 'band', 'of', 'the', 'spectrum', 'of', 'the', 'random', 'hermitean', 'matrix', 'model', 'the', 'method', 'is', 'rigorously', 'based', 'on', 'the', 'riemannhilbert', 'analysis', 'of', 'the', 'corresponding', 'orthogonal', 'polynomials', 'we', 'provide', 'an', 'analysis', 'with', 'an', 'error', 'term', 'of', 'order', 'n2', 'h', 'where', '1h', '2', 'nu2', 'is', 'the', 'exponent', 'of', 'nonregularity', 'of', 'the', 'effective', 'potential', 'thus', 'improving', 'even', 'in', 'the', 'usual', 'case', 'the', 'analysis', 'of', 'the', 'pertinent', 'literature', 'the', 'behavior', 'of', 'the', 'first', 'finite', 'number', 'of', 'zeroes', 'eigenvalues', 'appearing', 'in', 'the', 'new', 'band', 'is', 'analyzed', 'and', 'connected', 'with', 'the', 'location', 'of', 'the', 'zeroes', 'of', 'certain', 'freud', 'polynomials', 'in', 'general', 'all', 'these', 'newborn', 'zeroes', 'approach', 'the', 'point', 'of', 'nonregularity', 'at', 'the', 'rate', 'nh', 'whereas', 'one', 'a', 'stray', 'zero', 'lags', 'behind', 'at', 'a', 'slower', 'rate', 'of', 'approach', 'the', 'kernels', 'for', 'the', 'correlator', 'functions', 'in', 'the', 'scaling', 'coordinate', 'near', 'the', 'emerging', 'band', 'are', 'provided', 'together', 'with', 'the', 'subleading', 'term', 'in', 'particular', 'the', 'transition', 'between', 'k', 'and', 'k1', 'eigenvalues', 'is', 'analyzed', 'in', 'detail']] | [-0.15734316307694435, 0.0902385314137739, -0.062475471683459995, 0.039262822293815856, -0.019504630071331307, -0.11253477560222416, 0.04177232079408661, 0.3152797034478741, -0.24391130217445825, -0.23905240854772622, 0.10101539247409959, -0.3104700222137401, -0.15556513721089876, 0.15877013713048915, 0.010438746516174543, 0.05236583785293345, -0.0012628597675817099, 0.09366909257421398, -0.0970396988057604, -0.21908486064545765, 0.3446968778979011, 0.03802289315332062, 0.24562280600985323, 0.0571464225566182, 0.052526652012689565, 0.005356554735262326, -0.0263062379222564, -0.04674568275145874, -0.10335346060096771, 0.10905275183372913, 0.23221170266987032, 0.05598298648461521, 0.2483735497445593, -0.37244998975405974, -0.15850616086687067, 0.12675680030655942, 0.15802244556521228, 0.05049208707655752, 0.013048312602380659, -0.24287522131225797, 0.08512497793403483, -0.12466594141986065, -0.19153041229165063, -0.01263421241467272, 0.020216830122189784, 0.03343621779004569, -0.2686681364167396, 0.10667997696294036, 0.06210964681681045, 0.07671730376188894, -0.055238980902386776, -0.1585538136726803, -0.0021524814676917242, 0.13132687291676948, 0.07521956689407613, 0.007809646799881569, 0.05544877610264157, -0.12107582149391402, -0.0681178576904098, 0.34919086605879274, -0.06305074640814616, -0.18242108261402318, 0.11249502319257015, -0.2030759417608068, -0.12727285264349894, 0.15859870847961502, 0.12403287697293444, 0.13344980924373526, -0.09754936930216002, 0.13148680647408512, -0.029270527346204677, 0.13519484928511447, 0.050996799014988325, 0.030393844790001047, 0.1486539544013446, 0.11164972736935193, 0.0585548387461169, 0.14132525774923538, -0.09392972253012041, -0.09713473906991502, -0.34929363384374423, -0.1394557025789668, -0.23236189128114412, 0.030143274113530304, -0.16831046374341121, -0.18411975063127048, 0.4472645270654898, 0.11263940334431603, 0.22596795425449168, 0.0689123040790151, 0.2414052131039252, 0.19028903024193056, 0.049292133513191144, 0.08903544044824774, 0.1973067764081284, 0.15104732692832806, 0.08586755030074653, -0.24415476361155777, 0.020154828897225644, 0.10462271843752462] |
711.3626 | Di-Pion Decays of Heavy Quarkonium in the Field Correlator Method | Mechanism of di-pion transitions $nS\to n'S\pi\pi(n=3,2; n'=2,1)$ in
bottomonium and charmonium is studied with the use of the chiral
string-breaking Lagrangian allowing for the emission of any number of
$\pi(K,\eta),$ and not containing fitting parameters. The transition amplitude
contains two terms, $M=a-b$, where first term (a) refers to subsequent one-pion
emission: $\Upsilon(nS)\to\pi B\bar B^*\to\pi\Upsilon(n'S)\pi$ and second term
(b) refers to two-pion emission: $\Upsilon(nS)\to\pi\pi B\bar
B\to\pi\pi\Upsilon(n'S)$. The one-parameter formula for the di-pion mass
distribution is derived, $\frac{dw}{dq}\sim$(phase space) $|\eta-x|^2$, where
$x=\frac{q^2-4m^2_\pi}{q^2_{max}-4m^2_\pi},$ $q^2\equiv M^2_{\pi\pi}$. The
parameter $\eta$ dependent on the process is calculated, using SHO wave
functions and imposing PCAC restrictions (Adler zero) on amplitudes a,b. The
resulting di-pion mass distributions are in agreement with experimental data.
| hep-ph | mechanism of dipion transitions nsto nspipin32 n21 in bottomonium and charmonium is studied with the use of the chiral stringbreaking lagrangian allowing for the emission of any number of piketa and not containing fitting parameters the transition amplitude contains two terms mab where first term a refers to subsequent onepion emission upsilonnstopi bbar btopiupsilonnspi and second term b refers to twopion emission upsilonnstopipi bbar btopipiupsilonns the oneparameter formula for the dipion mass distribution is derived fracdwdqsimphase space etax2 where xfracq24m2_piq2_max4m2_pi q2equiv m2_pipi the parameter eta dependent on the process is calculated using sho wave functions and imposing pcac restrictions adler zero on amplitudes ab the resulting dipion mass distributions are in agreement with experimental data | [['mechanism', 'of', 'dipion', 'transitions', 'nsto', 'nspipin32', 'n21', 'in', 'bottomonium', 'and', 'charmonium', 'is', 'studied', 'with', 'the', 'use', 'of', 'the', 'chiral', 'stringbreaking', 'lagrangian', 'allowing', 'for', 'the', 'emission', 'of', 'any', 'number', 'of', 'piketa', 'and', 'not', 'containing', 'fitting', 'parameters', 'the', 'transition', 'amplitude', 'contains', 'two', 'terms', 'mab', 'where', 'first', 'term', 'a', 'refers', 'to', 'subsequent', 'onepion', 'emission', 'upsilonnstopi', 'bbar', 'btopiupsilonnspi', 'and', 'second', 'term', 'b', 'refers', 'to', 'twopion', 'emission', 'upsilonnstopipi', 'bbar', 'btopipiupsilonns', 'the', 'oneparameter', 'formula', 'for', 'the', 'dipion', 'mass', 'distribution', 'is', 'derived', 'fracdwdqsimphase', 'space', 'etax2', 'where', 'xfracq24m2_piq2_max4m2_pi', 'q2equiv', 'm2_pipi', 'the', 'parameter', 'eta', 'dependent', 'on', 'the', 'process', 'is', 'calculated', 'using', 'sho', 'wave', 'functions', 'and', 'imposing', 'pcac', 'restrictions', 'adler', 'zero', 'on', 'amplitudes', 'ab', 'the', 'resulting', 'dipion', 'mass', 'distributions', 'are', 'in', 'agreement', 'with', 'experimental', 'data']] | [-0.1017840228807884, 0.20341550285723675, -0.052598162562990526, 0.10864385404744648, -0.08004120914792677, -0.11346913448464617, 0.05925840912562496, 0.3023097263209803, -0.15025897014815853, -0.2296689077157457, -0.020716133999708546, -0.31579763509930586, -0.022262763196848473, 0.11221191686806532, 0.054545226412438697, 0.10000516300722254, 0.04931399028502264, 0.03596272923157744, -0.07272233930855708, -0.12722165456463425, 0.35508275141869233, -0.035570652640363166, 0.20527044413962736, 0.10991935380558782, 0.03129454612630894, 0.042450454973457556, -0.04506242642934733, -0.10402870470386676, -0.15729298956586785, 0.0224266362218362, 0.20353329673910267, 0.07409541944112137, 0.11783843180428277, -0.3155398738113636, -0.14175885599457994, 0.11175708164996907, 0.15954169587074024, 0.06693603016791935, 0.03396345234446102, -0.30585859103550045, 0.059104170360303715, -0.19294293677074098, -0.08793631006243094, -0.08698582330104711, 0.05527338987427219, -0.023573003797176875, -0.3872612548754814, 0.12567968513456368, -0.022714601477107278, 0.031462462386116385, -0.06964200225061262, -0.20028108972528913, -0.07124573251074355, 0.05265795124007196, 0.09550778961598759, 0.11487430990519845, 0.1524867710288403, -0.12980884022517614, -0.128364745971202, 0.4064132164930925, -0.08910206306005283, -0.1840239769146549, 0.09239722565387569, -0.17217763578892634, -0.15028348560708593, 0.185090152136015, 0.10887378305723926, 0.08055621065761683, -0.1735411355763955, 0.13571538456126978, 0.003491275555718875, 0.16519423052976084, 0.10841156982482886, 0.0670217372918966, 0.1385434298459792, 0.11882653163157333, -0.05956702616136029, 0.11630421278137222, -0.13211951810286715, -0.13038926075634388, -0.3748355134618732, -0.06294739987912043, -0.15963901054852134, 0.049933000169540664, -0.05676692415342912, -0.14428489268230238, 0.3667162233021304, 0.04505438956801059, 0.26886998514100063, 0.043925624072797737, 0.2943535976920207, 0.1745973966998171, 0.06613363304344569, 0.0639376055255954, 0.25122820922472283, 0.20539415815080744, 0.09328407278495296, -0.2854894986049435, 0.033083549608423746, 0.08562087732419935] |
711.3627 | Collective Excitations of Trapped Imbalanced Fermion Gases | We present a theoretical study of the collective excitations of a trapped
imbalanced fermion gas at unitarity, when the system consists of a superfluid
core and a normal outer shell. We formulate the relevant boundary conditions
and treat the normal shell both hydrodynamically and collisionlessly. For an
isotropic trap, we calculate the mode frequencies as a function of trap
polarization. Out-of-phase modes with frequencies below the trapping frequency
are obtained for the case of a hydrodynamic normal shell. For the collisionless
case, we calculate the monopole mode frequencies, and find that all but the
lowest mode may be damped.
| cond-mat.other cond-mat.stat-mech | we present a theoretical study of the collective excitations of a trapped imbalanced fermion gas at unitarity when the system consists of a superfluid core and a normal outer shell we formulate the relevant boundary conditions and treat the normal shell both hydrodynamically and collisionlessly for an isotropic trap we calculate the mode frequencies as a function of trap polarization outofphase modes with frequencies below the trapping frequency are obtained for the case of a hydrodynamic normal shell for the collisionless case we calculate the monopole mode frequencies and find that all but the lowest mode may be damped | [['we', 'present', 'a', 'theoretical', 'study', 'of', 'the', 'collective', 'excitations', 'of', 'a', 'trapped', 'imbalanced', 'fermion', 'gas', 'at', 'unitarity', 'when', 'the', 'system', 'consists', 'of', 'a', 'superfluid', 'core', 'and', 'a', 'normal', 'outer', 'shell', 'we', 'formulate', 'the', 'relevant', 'boundary', 'conditions', 'and', 'treat', 'the', 'normal', 'shell', 'both', 'hydrodynamically', 'and', 'collisionlessly', 'for', 'an', 'isotropic', 'trap', 'we', 'calculate', 'the', 'mode', 'frequencies', 'as', 'a', 'function', 'of', 'trap', 'polarization', 'outofphase', 'modes', 'with', 'frequencies', 'below', 'the', 'trapping', 'frequency', 'are', 'obtained', 'for', 'the', 'case', 'of', 'a', 'hydrodynamic', 'normal', 'shell', 'for', 'the', 'collisionless', 'case', 'we', 'calculate', 'the', 'monopole', 'mode', 'frequencies', 'and', 'find', 'that', 'all', 'but', 'the', 'lowest', 'mode', 'may', 'be', 'damped']] | [-0.15660177397299463, 0.2273372210942343, -0.03535704857980212, 0.05623041615454537, -0.02374317904586217, -0.1331823132838113, 0.045592330741893616, 0.3351978781078048, -0.19425864770745088, -0.200224724852226, 0.051329292229969396, -0.2716601513928235, -0.05611155829345337, 0.16865565208247815, 0.0707841408286112, -0.012894867905274485, 0.040976576253094456, 0.03571544639117113, -0.05605130272710489, -0.11091007636695385, 0.3256678736458222, 0.047465004755955456, 0.2894662182044351, 0.0072894352911548185, 0.0551760178200449, -0.02712379998734428, 0.06473107556953575, -0.012744549680689369, -0.15455700828956329, 0.03991807975119563, 0.21638571341155152, 0.006103118975656201, 0.219371923951037, -0.4585466914518614, -0.19833067277766236, 0.07219781755055818, 0.1944381653853325, 0.18302735788841742, -0.01839928019490808, -0.23736592643715518, -0.004264828151637557, -0.17641236301925448, -0.23441237159487274, -0.07126147361622766, 0.02522102344988121, 0.007257822179000335, -0.2792420994321054, 0.13178682107139716, 0.07939235570210249, 0.04561931946587683, -0.1357535810487326, -0.10215452462411251, -0.03543354535117896, 0.07727911734319706, 0.031118253126006686, -0.034657222174126846, 0.15810359768702348, -0.12963278912656911, -0.016956697396858775, 0.39951173377910043, -0.0994144247285081, -0.15641501250046522, 0.20133840646406617, -0.20564112937397727, -0.03182293225851173, 0.13921642888600777, 0.16339424144620113, 0.09487415426363698, -0.10576038349215812, 0.03677002895820999, -0.05558946783151101, 0.14971514970929634, 0.10310660701978838, 0.007642321279178364, 0.27755005033028246, 0.1476107545532439, 0.03558965540970817, 0.19079178716926223, -0.15079481541790596, -0.0367148332109656, -0.31721334069064167, -0.13231125030892366, -0.15838258262315644, -0.03308809195842707, -0.03359625034558709, -0.19993115525053004, 0.40597136614072804, 0.04749126026449217, 0.1970883198646885, 0.034060448539829015, 0.29970081849258884, 0.17198752649857502, 0.03465327036313035, 0.11032721831115207, 0.30533216866391777, 0.15689578331828194, 0.06040987741046896, -0.3236868332770437, -0.07033942375012268, 0.020067745946686377] |
711.3628 | A Perl Package and an Alignment Tool for Phylogenetic Networks | Phylogenetic networks are a generalization of phylogenetic trees that allow
for the representation of evolutionary events acting at the population level,
like recombination between genes, hybridization between lineages, and lateral
gene transfer. While most phylogenetics tools implement a wide range of
algorithms on phylogenetic trees, there exist only a few applications to work
with phylogenetic networks, and there are no open-source libraries either.
In order to improve this situation, we have developed a Perl package that
relies on the BioPerl bundle and implements many algorithms on phylogenetic
networks. We have also developed a Java applet that makes use of the
aforementioned Perl package and allows the user to make simple experiments with
phylogenetic networks without having to develop a program or Perl script by
herself.
The Perl package has been accepted as part of the BioPerl bundle. It can be
downloaded from http://dmi.uib.es/~gcardona/BioInfo/Bio-PhyloNetwork.tgz. The
web-based application is available at http://dmi.uib.es/~gcardona/BioInfo/. The
Perl package includes full documentation of all its features.
| q-bio.PE cs.CE | phylogenetic networks are a generalization of phylogenetic trees that allow for the representation of evolutionary events acting at the population level like recombination between genes hybridization between lineages and lateral gene transfer while most phylogenetics tools implement a wide range of algorithms on phylogenetic trees there exist only a few applications to work with phylogenetic networks and there are no opensource libraries either in order to improve this situation we have developed a perl package that relies on the bioperl bundle and implements many algorithms on phylogenetic networks we have also developed a java applet that makes use of the aforementioned perl package and allows the user to make simple experiments with phylogenetic networks without having to develop a program or perl script by herself the perl package has been accepted as part of the bioperl bundle it can be downloaded from httpdmiuibesgcardonabioinfobiophylonetworktgz the webbased application is available at httpdmiuibesgcardonabioinfo the perl package includes full documentation of all its features | [['phylogenetic', 'networks', 'are', 'a', 'generalization', 'of', 'phylogenetic', 'trees', 'that', 'allow', 'for', 'the', 'representation', 'of', 'evolutionary', 'events', 'acting', 'at', 'the', 'population', 'level', 'like', 'recombination', 'between', 'genes', 'hybridization', 'between', 'lineages', 'and', 'lateral', 'gene', 'transfer', 'while', 'most', 'phylogenetics', 'tools', 'implement', 'a', 'wide', 'range', 'of', 'algorithms', 'on', 'phylogenetic', 'trees', 'there', 'exist', 'only', 'a', 'few', 'applications', 'to', 'work', 'with', 'phylogenetic', 'networks', 'and', 'there', 'are', 'no', 'opensource', 'libraries', 'either', 'in', 'order', 'to', 'improve', 'this', 'situation', 'we', 'have', 'developed', 'a', 'perl', 'package', 'that', 'relies', 'on', 'the', 'bioperl', 'bundle', 'and', 'implements', 'many', 'algorithms', 'on', 'phylogenetic', 'networks', 'we', 'have', 'also', 'developed', 'a', 'java', 'applet', 'that', 'makes', 'use', 'of', 'the', 'aforementioned', 'perl', 'package', 'and', 'allows', 'the', 'user', 'to', 'make', 'simple', 'experiments', 'with', 'phylogenetic', 'networks', 'without', 'having', 'to', 'develop', 'a', 'program', 'or', 'perl', 'script', 'by', 'herself', 'the', 'perl', 'package', 'has', 'been', 'accepted', 'as', 'part', 'of', 'the', 'bioperl', 'bundle', 'it', 'can', 'be', 'downloaded', 'from', 'httpdmiuibesgcardonabioinfobiophylonetworktgz', 'the', 'webbased', 'application', 'is', 'available', 'at', 'httpdmiuibesgcardonabioinfo', 'the', 'perl', 'package', 'includes', 'full', 'documentation', 'of', 'all', 'its', 'features']] | [-0.07165506930249638, 0.0030336088170827944, -0.05469695904551522, 0.08442575581772607, -0.1323229383553461, -0.20730796731312912, 0.02461814596258764, 0.4404999722691276, -0.2519210552202856, -0.31504506313631053, 0.08791562073931829, -0.26901394671245105, -0.16336844111291715, 0.22587081488027366, -0.04639470918823175, 0.026803481401772463, 0.18682414865639957, 0.025758008659770123, 0.011142854737943108, -0.2483149916198859, 0.27734926195603005, 0.08440825683978398, 0.24870753044681035, 0.057559526578487855, 0.10475506050264628, -0.0022640258244745718, -0.05355901464884747, 0.002642975619086359, -0.12249491333623845, 0.14052379179062158, 0.3596226048089941, 0.2940048254109754, 0.2690089731359312, -0.4133871815792179, -0.19229414043918583, 0.1011329457470322, 0.13717068772456503, 0.15480647480801998, -0.017193227637223193, -0.23995766120290832, 0.10514252837688391, -0.2276734622207152, -0.01915886813975116, -0.09167604581040295, 0.0010465979723472006, 0.009206376136855305, -0.21454685952372943, -0.022389635694385623, -0.0002504991002003603, 0.13424396919887116, 0.04825220531761894, -0.1557316856718139, -0.08775652116282454, 0.18595532898620196, 0.01941039336438562, 0.05771763701764778, 0.12875529787137727, -0.04913108397564037, -0.17049525217064715, 0.33974554448070216, -0.039539707929951054, -0.2063196564868352, 0.23767780927245657, -0.03516253298649541, -0.20595027356779885, 0.09755096572180148, 0.18567861666124832, 0.1146336357548385, -0.21689469900713126, 0.12246867443016389, 0.011716232106054224, 0.18699364702783147, 0.07538240920616715, -0.06188418898993773, 0.20109693851481086, 0.19202029258248549, 0.022958529918215863, 0.10465945634634316, -0.05803451990127369, -0.05718928739970809, -0.20443864232459683, -0.16885515967018525, -0.14403553092866972, -0.014025095558454152, -0.06106868159258738, -0.24037227828845475, 0.3978298865789194, 0.16677406447633064, 0.1171573842934604, 0.10504269058730666, 0.29973177244014376, -0.012258411659947538, 0.1814379707550559, 0.12320710643477549, 0.0935583581965228, 0.09092333715532824, 0.12327580683705502, -0.10987624679905764, 0.14742104938295023, 0.039523829344057335] |
711.3629 | Convolutional codes from units in matrix and group rings | A general method for constructing convolutional codes from units in Laurent
series over matrix rings is presented. Using group ring as matrix rings, this
forms a basis for in-depth exploration of convolutional codes from group ring
encoding, wherein the ring in the group ring is itself a group ring. The method
is used to algebraically construct series of convolutional codes. Algebraic
methods are used to compute free distances and to construct convolutional codes
to prescribed distances.
| cs.IT math.IT math.RA | a general method for constructing convolutional codes from units in laurent series over matrix rings is presented using group ring as matrix rings this forms a basis for indepth exploration of convolutional codes from group ring encoding wherein the ring in the group ring is itself a group ring the method is used to algebraically construct series of convolutional codes algebraic methods are used to compute free distances and to construct convolutional codes to prescribed distances | [['a', 'general', 'method', 'for', 'constructing', 'convolutional', 'codes', 'from', 'units', 'in', 'laurent', 'series', 'over', 'matrix', 'rings', 'is', 'presented', 'using', 'group', 'ring', 'as', 'matrix', 'rings', 'this', 'forms', 'a', 'basis', 'for', 'indepth', 'exploration', 'of', 'convolutional', 'codes', 'from', 'group', 'ring', 'encoding', 'wherein', 'the', 'ring', 'in', 'the', 'group', 'ring', 'is', 'itself', 'a', 'group', 'ring', 'the', 'method', 'is', 'used', 'to', 'algebraically', 'construct', 'series', 'of', 'convolutional', 'codes', 'algebraic', 'methods', 'are', 'used', 'to', 'compute', 'free', 'distances', 'and', 'to', 'construct', 'convolutional', 'codes', 'to', 'prescribed', 'distances']] | [-0.2001591370514545, -0.039291034807990254, -0.15365752612706274, 0.03443953548374243, -0.04736973782756219, -0.21222059083734884, -0.0853335869155432, 0.42636889974145514, -0.3985206354409456, -0.183222899850654, 0.11341088777101647, -0.20640578079895167, -0.15826962491203295, 0.21353853665488332, -0.08017975210800375, 0.02136847395204792, 0.05782520203042383, 0.08636773507551927, -0.16603106114167818, -0.30042881773490654, 0.32637568499500813, 0.12139016728063948, 0.23242887195297762, -0.11391791507699772, 0.1043723649222796, 0.003846970680905016, -0.07939313903549, -0.015411324014789179, -0.14266531357517173, 0.18065424797149668, 0.3659860469909434, 0.09618888317460292, 0.20737708967767263, -0.42335951458172577, -0.18018001574091613, 0.10814491906938584, 0.17286556598264724, 0.14379475958872048, -0.024935953150576864, -0.23652102673842915, 0.13250174639305393, -0.28062329571203964, -0.07210492369669833, -0.08558012379063784, 0.0784522739337071, 0.010230611593119408, -0.3066176926521094, -0.02688028790840977, -0.02574771215011807, 0.16882373774914364, 0.0007259692616858764, -0.08974355098632116, 0.08917271994716047, 0.10638868741960705, -0.07592426978456053, 0.03855886586059473, 0.13570295083091446, -0.032035408354682944, -0.10398966686702088, 0.34651604951604414, -0.08600384090555292, -0.18145888397090235, 0.10465842054078453, -0.10506817145812276, -0.0735750809422155, 0.15841230142273402, 0.20288657259784246, 0.15113338640596913, -0.08798622365697827, 0.11359783525097698, -0.1348597724450213, 0.12330241927779034, 0.05810709714914035, 0.03464807460688079, 0.18964178465600862, 0.10585541392088328, 0.0019941206268604696, 0.15430423239932248, -0.027350541927214516, -0.04398644367527021, -0.282903267168685, -0.1298534235071489, -0.1841275061382667, 0.04706405613595914, -0.0830621237192214, -0.1823835923385463, 0.4607799900205512, 0.08844558888507124, 0.1626086363961038, 0.10190708851931911, 0.2345121826388334, -0.030791157662047465, 0.22789961376570558, 0.14081790374812522, 0.057354918166406844, 0.25541184163088665, -0.05491191481613848, -0.1294500904623419, -0.01733891300146321, 0.2530086228599478] |
711.363 | Prior-predictive value from fast growth simulations | Building on a variant of the Jarzynski equation we propose a new method to
numerically determine the prior-predictive value in a Bayesian inference
problem. The method generalizes thermodynamic integration and is not hampered
by equilibration problems. We demonstrate its operation by applying it to two
simple examples and elucidate its performance. In the case of multi-modal
posterior distributions the performance is superior to thermodynamic
integration.
| physics.data-an | building on a variant of the jarzynski equation we propose a new method to numerically determine the priorpredictive value in a bayesian inference problem the method generalizes thermodynamic integration and is not hampered by equilibration problems we demonstrate its operation by applying it to two simple examples and elucidate its performance in the case of multimodal posterior distributions the performance is superior to thermodynamic integration | [['building', 'on', 'a', 'variant', 'of', 'the', 'jarzynski', 'equation', 'we', 'propose', 'a', 'new', 'method', 'to', 'numerically', 'determine', 'the', 'priorpredictive', 'value', 'in', 'a', 'bayesian', 'inference', 'problem', 'the', 'method', 'generalizes', 'thermodynamic', 'integration', 'and', 'is', 'not', 'hampered', 'by', 'equilibration', 'problems', 'we', 'demonstrate', 'its', 'operation', 'by', 'applying', 'it', 'to', 'two', 'simple', 'examples', 'and', 'elucidate', 'its', 'performance', 'in', 'the', 'case', 'of', 'multimodal', 'posterior', 'distributions', 'the', 'performance', 'is', 'superior', 'to', 'thermodynamic', 'integration']] | [-0.06096286540492796, -0.015078712498339322, -0.12046338107007054, 0.07571598041014603, -0.08385248949321417, -0.10695494630445655, 0.08238185391976283, 0.3981113472810158, -0.2821052462220765, -0.28885872785019906, 0.09426958877235078, -0.22040560469031334, -0.16298937224424803, 0.24197355061769485, -0.11167721039830492, 0.09713366338087676, 0.0865546252274026, -0.01647852868414842, -0.10503654396877839, -0.25555399333914885, 0.2640956268574183, 0.04815468727969206, 0.3272777099807102, 0.06809925331931131, 0.13950711179238098, -0.006231470907536837, 0.0233380453231243, 0.015018713216368969, -0.14610736021378007, 0.12069215178310584, 0.22515267498361377, 0.162574563598117, 0.3299844097847549, -0.3524377011335813, -0.21578080360777677, 0.10188219000836118, 0.12999435006999052, 0.1067894182418688, -0.012717139923300308, -0.26540235529940287, 0.06323634409703888, -0.192930327115867, -0.10725853662364758, -0.1694043201036178, -0.054714697685379246, -0.015521013571952399, -0.2660430607959055, 0.08321503448801545, 0.04367428079534035, 0.02585343145407163, -0.04730154812121047, -0.09576520666193504, 0.047723164767600024, 0.07538488526613667, 0.027708064209526546, -0.03758581186859654, 0.12810742237981265, -0.11393132171808527, -0.13333866851261028, 0.35110726890942223, -0.02819919210787003, -0.277707699736437, 0.17183820752856824, -0.06383754499256611, -0.1457988430530979, 0.08689653486586534, 0.11238038909549897, 0.16572146931519874, -0.18790266953695278, 0.09524533265592673, 0.023824559544356395, 0.1103965791945274, 0.026648733349373708, -0.05856883823871613, 0.14992962915880176, 0.25357174784518205, 0.07354150304140952, 0.2003947864788083, -0.0801263130019204, -0.15330662874934764, -0.24778288670170764, -0.16496485806285188, -0.24006820905308884, 0.022034015445835674, -0.10178231528127352, -0.16524946971868093, 0.3886927870603708, 0.23717758984018403, 0.1795708795221379, 0.08898800359322474, 0.3279243441728445, 0.1351695667952299, 0.005816070233973173, 0.08870295806286427, 0.2033451031606931, 0.17144808993459895, 0.09365677507594228, -0.25577368567196224, 0.08722338372698198, 0.08545334274665667] |
711.3631 | Hadron production in non linear relativistic mean field models | By using a parametrization of the non-linear Walecka model which takes into
account the binding energy of different hyperons, we present a study of
particle production yields measured in central Au-Au collision at RHIC. Two
sets of different hyperon-meson coupling constants are employed in obtaining
the hadron production and chemical freeze-out parameters. These quantities show
a weak dependence on the used hyperon-meson couplings. Results are in good
overall accordance with experimental data. We have found that the repulsion
among the baryons is quite small and, through a preliminary analysis of the
effective mesonic masses, we suggest a way to improve the fittings.
| hep-ph | by using a parametrization of the nonlinear walecka model which takes into account the binding energy of different hyperons we present a study of particle production yields measured in central auau collision at rhic two sets of different hyperonmeson coupling constants are employed in obtaining the hadron production and chemical freezeout parameters these quantities show a weak dependence on the used hyperonmeson couplings results are in good overall accordance with experimental data we have found that the repulsion among the baryons is quite small and through a preliminary analysis of the effective mesonic masses we suggest a way to improve the fittings | [['by', 'using', 'a', 'parametrization', 'of', 'the', 'nonlinear', 'walecka', 'model', 'which', 'takes', 'into', 'account', 'the', 'binding', 'energy', 'of', 'different', 'hyperons', 'we', 'present', 'a', 'study', 'of', 'particle', 'production', 'yields', 'measured', 'in', 'central', 'auau', 'collision', 'at', 'rhic', 'two', 'sets', 'of', 'different', 'hyperonmeson', 'coupling', 'constants', 'are', 'employed', 'in', 'obtaining', 'the', 'hadron', 'production', 'and', 'chemical', 'freezeout', 'parameters', 'these', 'quantities', 'show', 'a', 'weak', 'dependence', 'on', 'the', 'used', 'hyperonmeson', 'couplings', 'results', 'are', 'in', 'good', 'overall', 'accordance', 'with', 'experimental', 'data', 'we', 'have', 'found', 'that', 'the', 'repulsion', 'among', 'the', 'baryons', 'is', 'quite', 'small', 'and', 'through', 'a', 'preliminary', 'analysis', 'of', 'the', 'effective', 'mesonic', 'masses', 'we', 'suggest', 'a', 'way', 'to', 'improve', 'the', 'fittings']] | [-0.09185127925821672, 0.1696607362725498, -0.1473866011719128, 0.11965789035871151, -0.011225820325004557, -0.1066149927392675, 0.015026239854027974, 0.33548881418491694, -0.18101565128959277, -0.3096120382120431, -0.036469538685838306, -0.3130880960938977, -0.011618779099080712, 0.1782940033967059, 0.0796305643047626, 0.056507307460860294, 0.11971577345941435, 0.015796842891266386, -0.05775158993178504, -0.20364505205960834, 0.31883780836976844, 0.045326330169451, 0.23970207793857246, 0.15907479182579645, 0.0677753870167733, -0.002621443844035122, -0.026716996649709328, 0.043943036603284816, -0.17134917934469973, 0.10342396024212826, 0.22610657531357206, 0.03902246455274561, 0.16755055102483168, -0.38864747937038246, -0.18636184533163175, 0.10629229209221461, 0.13802522611028203, 0.1489373667053787, -0.09044650967310493, -0.24505087793987318, 0.06263881875373259, -0.19475393534144936, -0.09900078743892521, -0.12017591356975484, -0.01601772137241913, 0.0706117837393072, -0.3121532716094425, 0.11876766433267097, -0.04981910466563468, 0.04026682007893482, -0.09753190947915702, -0.20977169509027518, -0.06738622103562104, 0.08233819223995156, 0.0787186935879564, 0.021577130448456633, 0.1563982869904744, -0.11678485737373943, -0.0740462901828555, 0.4284372287711092, -0.0756674099225076, -0.17197878918701534, 0.19238435555541633, -0.14768540467062563, -0.17293283895260708, 0.08942207262175632, 0.19620144085995123, 0.06343569150011913, -0.2037163069471717, 0.06477805662457374, -0.014610136199432114, 0.17514760230494408, 0.05945513558154013, 0.0432628681928869, 0.1965992382051898, 0.2081658714804707, -0.05246676823042114, 0.10720980109980184, -0.0661471122602248, -0.111525656390643, -0.3529739482510908, -0.07064511039860401, -0.10611759712828286, 0.0018423139597015345, -0.13667352663726298, -0.07087064425314904, 0.39387955480967374, 0.13692108304331116, 0.29829078825081096, 0.021667545043872485, 0.28290370247308533, 0.10582725861675892, 0.08531220390132684, 0.04230499475984378, 0.32740539384494516, 0.13817963289215648, 0.12574951819545938, -0.26505542580750496, 0.05313301351670103, 0.040910202338743734] |
711.3632 | On stability of randomly switched nonlinear systems | This article is concerned with stability analysis and stabilization of
randomly switched nonlinear systems. These systems may be regarded as piecewise
deterministic stochastic systems: the discrete switches are triggered by a
stochastic process which is independent of the state of the system, and between
two consecutive switching instants the dynamics are deterministic. Our results
provide sufficient conditions for almost sure global asymptotic stability using
Lyapunov-based methods when individual subsystems are stable and a certain
``slow switching'' condition holds. This slow switching condition takes the
form of an asymptotic upper bound on the probability mass function of the
number of switches that occur between the initial and current time instants.
This condition is shown to hold for switching signals coming from the states of
finite-dimensional continuous-time Markov chains; our results therefore hold
for Markov jump systems in particular. For systems with control inputs we
provide explicit control schemes for feedback stabilization using the universal
formula for stabilization of nonlinear systems.
| math.OC | this article is concerned with stability analysis and stabilization of randomly switched nonlinear systems these systems may be regarded as piecewise deterministic stochastic systems the discrete switches are triggered by a stochastic process which is independent of the state of the system and between two consecutive switching instants the dynamics are deterministic our results provide sufficient conditions for almost sure global asymptotic stability using lyapunovbased methods when individual subsystems are stable and a certain slow switching condition holds this slow switching condition takes the form of an asymptotic upper bound on the probability mass function of the number of switches that occur between the initial and current time instants this condition is shown to hold for switching signals coming from the states of finitedimensional continuoustime markov chains our results therefore hold for markov jump systems in particular for systems with control inputs we provide explicit control schemes for feedback stabilization using the universal formula for stabilization of nonlinear systems | [['this', 'article', 'is', 'concerned', 'with', 'stability', 'analysis', 'and', 'stabilization', 'of', 'randomly', 'switched', 'nonlinear', 'systems', 'these', 'systems', 'may', 'be', 'regarded', 'as', 'piecewise', 'deterministic', 'stochastic', 'systems', 'the', 'discrete', 'switches', 'are', 'triggered', 'by', 'a', 'stochastic', 'process', 'which', 'is', 'independent', 'of', 'the', 'state', 'of', 'the', 'system', 'and', 'between', 'two', 'consecutive', 'switching', 'instants', 'the', 'dynamics', 'are', 'deterministic', 'our', 'results', 'provide', 'sufficient', 'conditions', 'for', 'almost', 'sure', 'global', 'asymptotic', 'stability', 'using', 'lyapunovbased', 'methods', 'when', 'individual', 'subsystems', 'are', 'stable', 'and', 'a', 'certain', 'slow', 'switching', 'condition', 'holds', 'this', 'slow', 'switching', 'condition', 'takes', 'the', 'form', 'of', 'an', 'asymptotic', 'upper', 'bound', 'on', 'the', 'probability', 'mass', 'function', 'of', 'the', 'number', 'of', 'switches', 'that', 'occur', 'between', 'the', 'initial', 'and', 'current', 'time', 'instants', 'this', 'condition', 'is', 'shown', 'to', 'hold', 'for', 'switching', 'signals', 'coming', 'from', 'the', 'states', 'of', 'finitedimensional', 'continuoustime', 'markov', 'chains', 'our', 'results', 'therefore', 'hold', 'for', 'markov', 'jump', 'systems', 'in', 'particular', 'for', 'systems', 'with', 'control', 'inputs', 'we', 'provide', 'explicit', 'control', 'schemes', 'for', 'feedback', 'stabilization', 'using', 'the', 'universal', 'formula', 'for', 'stabilization', 'of', 'nonlinear', 'systems']] | [-0.21010978009665982, 0.1422696229892837, -0.0788267638472805, 0.04414236420696558, -0.017848999197038373, -0.19216036551731563, 0.06621052600947097, 0.3641147569946523, -0.3009450544702744, -0.23903194519123003, 0.18233516830994906, -0.17460095018745875, -0.14121994047583836, 0.24358447476542033, -0.05606045468224201, 0.09514509726743325, 0.06460674721513342, 0.02489891720960596, -0.038210797221722, -0.23524121701740805, 0.31075149695476834, -0.0028475462330897696, 0.2802106097379755, -0.027787470272683638, 0.14606585555106588, 0.009672002868328549, 0.04141096591600949, -0.01427807525948346, -0.11801778480254806, 0.06697258221707819, 0.24111023368079615, 0.0983512433345628, 0.2854607009077035, -0.4560405629183277, -0.19121686351608555, 0.140315321262387, 0.1110448203479385, 0.13672784813635824, -0.03993614390858525, -0.2779260249925578, 0.09795198197558569, -0.12691837459006025, -0.12913790118072252, -0.07084769849319877, 0.006136801984137709, 0.10492991734239203, -0.3452350881196699, 0.0798645891284324, 0.12299030681533164, 0.05460202695531683, -0.09399789050748607, -0.06250904733534762, -0.0295224690490619, 0.15917011131272568, 0.023399917240241402, -0.04980419907695467, 0.11805817501256301, -0.07220210496529515, -0.14555973980323933, 0.28792125228558135, -0.036918250098531634, -0.21524395831163573, 0.20549686137460899, -0.09058029160969569, -0.14355379637073046, 0.13575925509029496, 0.18649781518615782, 0.13226001537016904, -0.16785596257982463, 0.0663524234320371, 0.0014358422595937296, 0.16474349949063746, 0.03703123348934939, 0.07668078227741819, 0.15721237690059128, 0.18485304814435355, 0.1559441224466892, 0.14480083074007746, 0.010381609567883279, -0.17858814261267958, -0.32855077361528406, -0.12281952781416769, -0.15118427886832622, 0.064043915159151, -0.09313219913930204, -0.1641661272911024, 0.3400281388649377, 0.11928814045466928, 0.1824233601420368, 0.1188448032184135, 0.28179518594962993, 0.21687020758150802, -0.036364161380150785, 0.06587540375877102, 0.22776450206226898, 0.16164965864634082, 0.10379420489998264, -0.223657382155751, 0.12640452978886524, 0.07005207035280529] |
711.3633 | Depletion potential in the infinite dilution limit | The depletion force and depletion potential between two in principle unequal
"big" hard spheres embedded in a multicomponent mixture of "small" hard spheres
are computed using the Rational Function Approximation method for the
structural properties of hard-sphere mixtures [S. B. Yuste, A. Santos, and M.
L\'opez de Haro, J. Chem. Phys. {\bf 108}, 3683 (1998)]. The cases of equal
solute particles and of one big particle and a hard planar wall in a background
monodisperse hard-sphere fluid are explicitly analyzed. An improvement over the
performance of the Percus-Yevick theory and good agreement with available
simulation results are found
| cond-mat.soft cond-mat.stat-mech physics.chem-ph | the depletion force and depletion potential between two in principle unequal big hard spheres embedded in a multicomponent mixture of small hard spheres are computed using the rational function approximation method for the structural properties of hardsphere mixtures s b yuste a santos and m lopez de haro j chem phys bf 108 3683 1998 the cases of equal solute particles and of one big particle and a hard planar wall in a background monodisperse hardsphere fluid are explicitly analyzed an improvement over the performance of the percusyevick theory and good agreement with available simulation results are found | [['the', 'depletion', 'force', 'and', 'depletion', 'potential', 'between', 'two', 'in', 'principle', 'unequal', 'big', 'hard', 'spheres', 'embedded', 'in', 'a', 'multicomponent', 'mixture', 'of', 'small', 'hard', 'spheres', 'are', 'computed', 'using', 'the', 'rational', 'function', 'approximation', 'method', 'for', 'the', 'structural', 'properties', 'of', 'hardsphere', 'mixtures', 's', 'b', 'yuste', 'a', 'santos', 'and', 'm', 'lopez', 'de', 'haro', 'j', 'chem', 'phys', 'bf', '108', '3683', '1998', 'the', 'cases', 'of', 'equal', 'solute', 'particles', 'and', 'of', 'one', 'big', 'particle', 'and', 'a', 'hard', 'planar', 'wall', 'in', 'a', 'background', 'monodisperse', 'hardsphere', 'fluid', 'are', 'explicitly', 'analyzed', 'an', 'improvement', 'over', 'the', 'performance', 'of', 'the', 'percusyevick', 'theory', 'and', 'good', 'agreement', 'with', 'available', 'simulation', 'results', 'are', 'found']] | [-0.08931192171309833, 0.11751702942600954, -0.0684270550192771, 0.013378154324861814, 0.028228366652465597, -0.1561985687846888, -0.0027923224391700812, 0.35068611583045245, -0.18022820430484657, -0.3450614138107215, -0.02151399357505713, -0.30162535271398266, -0.0938396592415413, 0.12635681801831958, -0.04358184803277254, 0.0799066427695964, 0.04485953585909946, -0.06159012704346405, -0.04231190004823159, -0.26712352325379546, 0.19329532298107385, 0.03669739713208103, 0.22752538319511995, 0.05645847742977951, 0.08353699004154044, 0.0519404711952547, -0.009997199612612627, 0.058323497970525995, -0.23071092048336808, 0.08933023261072646, 0.2260760175401573, -0.002418657973864857, 0.19257429855333982, -0.3947354903805773, -0.195455082141015, 0.10589943599069909, 0.09015149171511662, 0.027913945555991054, -0.018297925306370064, -0.25792760098809187, 0.05138599127887425, -0.21065575813361426, -0.14905476188097072, -0.054043329670093954, 0.106771796381063, 0.06286396626953264, -0.27546115878171157, 0.15230159818346858, 0.04650875529730503, 0.056317407048630475, -0.09881047512480647, -0.15040952664780982, 0.0012713779828378133, 0.043957429044708916, -0.010231801090115795, 0.0706045056826302, 0.1581668567781964, -0.10465537020176345, -0.07711262896013142, 0.398755621583182, -0.08442753218399475, -0.19066658194119834, 0.28263559586805653, -0.08891102803243818, -0.09646642196695415, 0.19355185503349165, 0.09851274412001806, 0.12473452531694605, -0.13556454483685748, 0.14700840852800662, -0.07827026822737285, 0.1698680459818689, 0.14844883464713943, -0.10157566839344716, 0.18702182281828886, 0.10760194019471504, -0.05854843905295378, 0.12676107076861495, -0.09022843519615352, -0.15685987578020716, -0.26073293089486504, -0.1891643910298162, -0.23347411880611765, 0.0340137407480625, -0.1210479224663482, -0.17474972804514122, 0.23341531172508792, 0.03427593494594401, 0.1865697964284645, 0.018421937982380693, 0.2248590274640283, 0.019457060435064594, -0.052509130346374965, 0.11310353785829276, 0.22476095359354298, 0.18301886135037532, 0.11142818199598933, -0.20428559104246752, -0.034208699825637956, 0.07711103221173493] |
711.3634 | Self-energy and lifetime of Shockley and image states on Cu(100) and
Cu(111): Beyond the GW approximation of many-body theory | We report many-body calculations of the self-energy and lifetime of Shockley
and image states on the (100) and (111) surfaces of Cu that go beyond the $GW$
approximation of many-body theory. The self-energy is computed in the framework
of the GW\Gamma approximation by including short-range exchange-correlation
(XC) effects both in the screened interaction W (beyond the random-phase
approximation) and in the expansion of the self-energy in terms of W (beyond
the GW approximation). Exchange-correlation effects are described within
time-dependent density-functional theory from the knowledge of an adiabatic
nonlocal XC kernel that goes beyond the local-density approximation.
| cond-mat.mtrl-sci | we report manybody calculations of the selfenergy and lifetime of shockley and image states on the 100 and 111 surfaces of cu that go beyond the gw approximation of manybody theory the selfenergy is computed in the framework of the gwgamma approximation by including shortrange exchangecorrelation xc effects both in the screened interaction w beyond the randomphase approximation and in the expansion of the selfenergy in terms of w beyond the gw approximation exchangecorrelation effects are described within timedependent densityfunctional theory from the knowledge of an adiabatic nonlocal xc kernel that goes beyond the localdensity approximation | [['we', 'report', 'manybody', 'calculations', 'of', 'the', 'selfenergy', 'and', 'lifetime', 'of', 'shockley', 'and', 'image', 'states', 'on', 'the', '100', 'and', '111', 'surfaces', 'of', 'cu', 'that', 'go', 'beyond', 'the', 'gw', 'approximation', 'of', 'manybody', 'theory', 'the', 'selfenergy', 'is', 'computed', 'in', 'the', 'framework', 'of', 'the', 'gwgamma', 'approximation', 'by', 'including', 'shortrange', 'exchangecorrelation', 'xc', 'effects', 'both', 'in', 'the', 'screened', 'interaction', 'w', 'beyond', 'the', 'randomphase', 'approximation', 'and', 'in', 'the', 'expansion', 'of', 'the', 'selfenergy', 'in', 'terms', 'of', 'w', 'beyond', 'the', 'gw', 'approximation', 'exchangecorrelation', 'effects', 'are', 'described', 'within', 'timedependent', 'densityfunctional', 'theory', 'from', 'the', 'knowledge', 'of', 'an', 'adiabatic', 'nonlocal', 'xc', 'kernel', 'that', 'goes', 'beyond', 'the', 'localdensity', 'approximation']] | [-0.08733642659111258, 0.056974942520810146, -0.10583518344598512, 0.1398991122514417, 0.0711993965281484, -0.07708061903637524, 0.10549715454787172, 0.31444160256069154, -0.246089517546352, -0.26544144022045657, -0.08620301140278268, -0.36816547457904863, -0.12510315925707496, 0.10234855184535263, 0.10697288113442482, 0.04823078051170645, 0.013185421489955237, -0.016860855335835367, -0.18645379173782808, -0.19520555196140776, 0.2696696097943156, 0.05069272220134735, 0.186540884412049, 0.15680846826095754, -0.030164832292939536, 0.09790065109943195, 0.04962262171223605, 0.00032343851247181493, -0.10861712360034896, 0.07733937852935924, 0.2599097054244339, -0.013998959383267598, 0.314556942859781, -0.5166771079141957, -0.25469389354111627, -0.0683889473148156, 0.09899758466538817, 0.14934335023523695, 0.013036381709146857, -0.3074437239144269, 0.01793230275749617, -0.2421018510746459, -0.13126995251999082, -0.13883129562600516, -0.038340664012139314, 0.0330343479096579, -0.21419128574537658, 0.15048040722710235, 0.04989467418151131, -0.05117169927514927, -0.11752879940710652, -0.14919145892296606, 0.013526161841582507, 0.034532941256960235, 0.01749686878853633, 0.08972546243846106, 0.1580026505641096, -0.14248355219509298, -0.08889722398210627, 0.42624116357183084, -0.15515042296707784, -0.1500207900632328, 0.12058503149698178, -0.16855784410048122, -0.06209653274466594, 0.14019040142496428, 0.12061194126241996, 0.12623166870616842, -0.17465173566597514, 0.27644336757907695, 0.08058742075809278, 0.11525807276605822, 0.05223503948946018, 0.06293252300626288, 0.10914818577778836, 0.1332969295035582, -0.008466072603672123, 0.03012858690150703, -0.13656021512239627, -0.15430715086404234, -0.34614726577031735, -0.08684859272519437, -0.2634330340273057, 0.027019759887480177, -0.11044067868048539, -0.27832693644450046, 0.42988202315367136, 0.15312650174503992, 0.07370099341884877, 0.004211915582952012, 0.27734976696471375, 0.1649191623631244, 0.04060397331098405, 0.06987273676592547, 0.3049595808709758, 0.20199766637961147, -0.02507086047262419, -0.2859870682320131, 0.03227561476827153, 0.1104053325446633] |
711.3635 | The GZK horizon and constraints on the cosmic ray source spectrum from
observations in the GZK regime | We discuss the GZK horizon of protons and present a method to constrain the
injection spectrum of ultrahigh energy cosmic rays (UHECRs) from supposedly
identified extragalactic sources. This method can be applied even when only one
or two events per source are observed and is based on the analysis of the
probability for a given source to populate different energy bins, depending on
the actual CR injection spectral index. In particular, we show that for a
typical source density of $4\times 10^{-5} Mpc^{-3}$, a data set of 100 events
above $6\times 10^{19}$ eV allows one in 97% of all cases to distinguish a
source spectrum $dN/dE\propto E^{-1.1}$ from one with $E^{-2.7}$ at 95%
confidence level.
| astro-ph | we discuss the gzk horizon of protons and present a method to constrain the injection spectrum of ultrahigh energy cosmic rays uhecrs from supposedly identified extragalactic sources this method can be applied even when only one or two events per source are observed and is based on the analysis of the probability for a given source to populate different energy bins depending on the actual cr injection spectral index in particular we show that for a typical source density of 4times 105 mpc3 a data set of 100 events above 6times 1019 ev allows one in 97 of all cases to distinguish a source spectrum dndepropto e11 from one with e27 at 95 confidence level | [['we', 'discuss', 'the', 'gzk', 'horizon', 'of', 'protons', 'and', 'present', 'a', 'method', 'to', 'constrain', 'the', 'injection', 'spectrum', 'of', 'ultrahigh', 'energy', 'cosmic', 'rays', 'uhecrs', 'from', 'supposedly', 'identified', 'extragalactic', 'sources', 'this', 'method', 'can', 'be', 'applied', 'even', 'when', 'only', 'one', 'or', 'two', 'events', 'per', 'source', 'are', 'observed', 'and', 'is', 'based', 'on', 'the', 'analysis', 'of', 'the', 'probability', 'for', 'a', 'given', 'source', 'to', 'populate', 'different', 'energy', 'bins', 'depending', 'on', 'the', 'actual', 'cr', 'injection', 'spectral', 'index', 'in', 'particular', 'we', 'show', 'that', 'for', 'a', 'typical', 'source', 'density', 'of', '4times', '105', 'mpc3', 'a', 'data', 'set', 'of', '100', 'events', 'above', '6times', '1019', 'ev', 'allows', 'one', 'in', '97', 'of', 'all', 'cases', 'to', 'distinguish', 'a', 'source', 'spectrum', 'dndepropto', 'e11', 'from', 'one', 'with', 'e27', 'at', '95', 'confidence', 'level']] | [-0.07609997570676648, 0.1580780952014839, -0.021397535859242728, 0.15485622560524423, -0.008614438727660023, -0.0811763687585683, 0.0718485529149842, 0.3739245406959368, -0.18139096722006798, -0.4056536050189448, 0.05386197838486861, -0.34706368975394464, 0.05124701320031739, 0.2335491124196383, 0.02200359744222268, -0.035172095846222794, 0.05109088183178202, 0.03995638948905727, -0.020428463152569274, -0.20142233695672906, 0.2842026388677566, 0.13167411633159803, 0.2691178924728023, 0.06798877311546518, 0.14379671738260305, -0.05902031539412944, -0.021344645503584458, -0.05774740510021967, -0.07971033412670848, 0.08913720145052217, 0.23626355580661607, 0.14717947776086437, 0.19957873414715996, -0.35766462123264436, -0.23942112089134754, 0.11469391819656544, 0.12824996200835576, 0.03651575221801582, -0.030373910553348454, -0.25472068687819915, 0.12881033946431, -0.18044049921243088, -0.11207010149550826, 0.06373445072575756, -0.022380073943539806, 0.018202111197878484, -0.2411191648317744, 0.13432986967103636, -0.027069198631721993, -0.015282397701040559, -0.10148642029582887, -0.11242860022770322, -0.016712407409415944, 0.05431797076143203, 0.05406827872578541, 0.04573070177449035, 0.17178213503211737, -0.06975447349857701, -0.09537833184813675, 0.3930203173795472, -0.0728896839827623, -0.11894593144483541, 0.1607136904079791, -0.21069469616302977, -0.16893092959552355, 0.19727335754458022, 0.18567532303378634, 0.09629435772886095, -0.16191059447199854, 0.04265981834361573, 0.037964501457653295, 0.23102198614050512, 0.0869167428828128, 0.0245563347985887, 0.2442391842684668, 0.12516516777180622, 0.08119926129002124, 0.07011149475735652, -0.2056165965800376, 0.04879285716249243, -0.31805718404281397, -0.10408360841481581, -0.17967694129734096, 0.13111131898755127, -0.1062561738302263, -0.11341816036627911, 0.4291266735157241, 0.16641095729706729, 0.23837894713911026, 0.011720477523403647, 0.26374802969234146, 0.11619825290994334, -0.0005775851349386832, 0.1196655729279408, 0.2616388073231539, 0.06968201336491367, 0.04481949653152539, -0.11035022989482335, -0.002956526272970697, -0.017796185436537083] |
711.3636 | Computing Stabilized Norms for Quantum Operations via the Theory of
Completely Bounded Maps | The diamond and completely bounded norms for linear maps play an increasingly
important role in quantum information science, providing fundamental stabilized
distance measures for differences of quantum operations. Based on the theory of
completely bounded maps, we formulate an algorithm to compute the norm of an
arbitrary linear map. We present an implementation of the algorithm via Maple,
discuss its efficiency, and consider the case of differences of unitary maps.
| quant-ph | the diamond and completely bounded norms for linear maps play an increasingly important role in quantum information science providing fundamental stabilized distance measures for differences of quantum operations based on the theory of completely bounded maps we formulate an algorithm to compute the norm of an arbitrary linear map we present an implementation of the algorithm via maple discuss its efficiency and consider the case of differences of unitary maps | [['the', 'diamond', 'and', 'completely', 'bounded', 'norms', 'for', 'linear', 'maps', 'play', 'an', 'increasingly', 'important', 'role', 'in', 'quantum', 'information', 'science', 'providing', 'fundamental', 'stabilized', 'distance', 'measures', 'for', 'differences', 'of', 'quantum', 'operations', 'based', 'on', 'the', 'theory', 'of', 'completely', 'bounded', 'maps', 'we', 'formulate', 'an', 'algorithm', 'to', 'compute', 'the', 'norm', 'of', 'an', 'arbitrary', 'linear', 'map', 'we', 'present', 'an', 'implementation', 'of', 'the', 'algorithm', 'via', 'maple', 'discuss', 'its', 'efficiency', 'and', 'consider', 'the', 'case', 'of', 'differences', 'of', 'unitary', 'maps']] | [-0.10933898936824075, 0.07759528694358388, -0.06819710491067131, 0.05915002128375428, 0.010853227294449295, -0.12078459789045155, -0.004577478791387485, 0.37365151880575076, -0.3482981551305524, -0.23829721535689063, 0.14602310137789962, -0.24933330336851733, -0.19134159781970084, 0.2302605276927352, -0.07048374890748943, 0.06803769258965206, 0.02982807253221316, 0.038422869704663756, -0.10733733706708465, -0.2570044426264108, 0.34347829466818697, 0.10462801661009767, 0.24014673480830553, 0.07751812602260283, 0.16622877912263254, 0.03875797482074372, -0.07552423720647182, -0.032679594640753096, -0.15378074630030564, 0.1893976977095008, 0.2806155087692397, 0.16850858385940748, 0.27536526077560014, -0.44032914292599473, -0.1503408461775897, 0.1519279931006687, 0.10863371234653252, 0.09323583633771965, -0.08400922908081807, -0.2688498215716598, 0.04124118466528931, -0.1268645289387288, -0.12409247162618807, -0.11104807157867722, 0.009953067624675377, -0.02540602404624224, -0.25069651915026564, 0.03420146762260369, 0.10145275515637227, 0.12269546523956316, -0.06462326131129105, -0.0901850068409528, 0.03260839363293988, 0.20228611077181996, -0.07926676036024999, 0.024806904046064508, 0.13328255715646914, -0.12105014048782843, -0.16759029789162533, 0.3733086812709059, -0.05033451565873942, -0.22086944468319417, 0.12781060439467962, -0.05322461160165923, -0.12809955383917052, 0.02577119967234986, 0.19338352475315332, 0.11984849936727966, -0.09391936287283897, 0.15398955430802225, -0.013225032721779176, 0.1823101718444377, 0.03371568187805159, 0.09030737722226019, 0.1628883986234931, 0.08635904898068734, 0.16636933788790234, 0.19996512883475848, -0.03927690674484308, -0.13037321443802544, -0.30380289868584703, -0.16802939176226833, -0.16022039843457087, 0.0048645230746063, -0.12127387321379501, -0.2006320025239672, 0.3630968849839909, 0.11333298841158726, 0.18963491692473847, 0.05628006237425975, 0.2668072576767632, 0.1428551696332371, 0.005903347202443651, 0.08422585597394833, 0.18114195106817144, 0.2012593461466687, 0.047765925240569884, -0.22918270038041685, 0.020521182560228876, 0.11123134781332088] |
711.3637 | Uniformity seminorms on $\ell^\infty$ and applications | A key tool in recent advances in understanding arithmetic progressions and
other patterns in subsets of the integers is certain norms or seminorms. One
example is the norms on $\Z/N\Z$ introduced by Gowers in his proof of
Szemer\'edi's Theorem, used to detect uniformity of subsets of the integers.
Another example is the seminorms on bounded functions in a measure preserving
system (associated to the averages in Furstenberg's proof of Szemer\'edi's
Theorem) defined by the authors. For each integer $k\geq 1$, we define
seminorms on $\ell^\infty(\Z)$ analogous to these norms and seminorms. We study
the correlation of these norms with certain algebraically defined sequences,
which arise from evaluating a continuous function on the homogeneous space of a
nilpotent Lie group on a orbit (the nilsequences). Using these seminorms, we
define a dual norm that acts as an upper bound for the correlation of a bounded
sequence with a nilsequence. We also prove an inverse theorem for the
seminorms, showing how a bounded sequence correlates with a nilsequence. As
applications, we derive several ergodic theoretic results, including a
nilsequence version of the Wiener-Wintner ergodic theorem, a nil version of a
corollary to the spectral theorem, and a weighted multiple ergodic convergence
theorem.
| math.DS math.NT | a key tool in recent advances in understanding arithmetic progressions and other patterns in subsets of the integers is certain norms or seminorms one example is the norms on znz introduced by gowers in his proof of szemeredis theorem used to detect uniformity of subsets of the integers another example is the seminorms on bounded functions in a measure preserving system associated to the averages in furstenbergs proof of szemeredis theorem defined by the authors for each integer kgeq 1 we define seminorms on ellinftyz analogous to these norms and seminorms we study the correlation of these norms with certain algebraically defined sequences which arise from evaluating a continuous function on the homogeneous space of a nilpotent lie group on a orbit the nilsequences using these seminorms we define a dual norm that acts as an upper bound for the correlation of a bounded sequence with a nilsequence we also prove an inverse theorem for the seminorms showing how a bounded sequence correlates with a nilsequence as applications we derive several ergodic theoretic results including a nilsequence version of the wienerwintner ergodic theorem a nil version of a corollary to the spectral theorem and a weighted multiple ergodic convergence theorem | [['a', 'key', 'tool', 'in', 'recent', 'advances', 'in', 'understanding', 'arithmetic', 'progressions', 'and', 'other', 'patterns', 'in', 'subsets', 'of', 'the', 'integers', 'is', 'certain', 'norms', 'or', 'seminorms', 'one', 'example', 'is', 'the', 'norms', 'on', 'znz', 'introduced', 'by', 'gowers', 'in', 'his', 'proof', 'of', 'szemeredis', 'theorem', 'used', 'to', 'detect', 'uniformity', 'of', 'subsets', 'of', 'the', 'integers', 'another', 'example', 'is', 'the', 'seminorms', 'on', 'bounded', 'functions', 'in', 'a', 'measure', 'preserving', 'system', 'associated', 'to', 'the', 'averages', 'in', 'furstenbergs', 'proof', 'of', 'szemeredis', 'theorem', 'defined', 'by', 'the', 'authors', 'for', 'each', 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'nil', 'version', 'of', 'a', 'corollary', 'to', 'the', 'spectral', 'theorem', 'and', 'a', 'weighted', 'multiple', 'ergodic', 'convergence', 'theorem']] | [-0.16134207468639578, 0.08413098271290921, -0.12809501366175585, 0.13179430945416043, -0.034097932384410244, -0.10067588082706584, 0.04048904044736158, 0.326521479150271, -0.343052424189761, -0.2042709751588166, 0.14617370923012307, -0.2687975474745597, -0.15241176075882387, 0.23461356659855076, -0.16858957230988608, 0.030433569530530565, 0.027046636813998822, 0.08818545517623987, -0.08410002008939264, -0.25889816545663713, 0.3620623703133408, -0.05843762488773645, 0.20703772806922843, 0.08264121689117658, 0.10561457919846078, 0.03362485902482204, -0.052056337159183154, -0.01703060567791424, -0.17818713863398536, 0.169590358928913, 0.2551293913590904, 0.12369571540191134, 0.33162875443547213, -0.33161945550716554, -0.14399252714233557, 0.19450107764864538, 0.1125387075315019, -0.009540559221456885, -0.0429025735728321, 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711.3638 | Voltage profile and four terminal resistance of an interacting quantum
wire | We investigate the behavior of the four-terminal resistance $R_{4pt}$ in a
quantum wire described by a Luttinger liquid in two relevant situations: (i) in
the presence of a single impurity within the wire and (ii) under the effect of
asymmetries introduced by dirty voltage probes. In the first case, interactions
leave a signature in a power law behavior of $R_{4pt}$ as a function of the
voltage $V$ and the temperature $T$. In the second case interactions tend to
mask the effect of the asymmetries. In both scenarios the occurrence of
negative values of $R_{4pt}$ is explained in simple terms.
| cond-mat.mes-hall | we investigate the behavior of the fourterminal resistance r_4pt in a quantum wire described by a luttinger liquid in two relevant situations i in the presence of a single impurity within the wire and ii under the effect of asymmetries introduced by dirty voltage probes in the first case interactions leave a signature in a power law behavior of r_4pt as a function of the voltage v and the temperature t in the second case interactions tend to mask the effect of the asymmetries in both scenarios the occurrence of negative values of r_4pt is explained in simple terms | [['we', 'investigate', 'the', 'behavior', 'of', 'the', 'fourterminal', 'resistance', 'r_4pt', 'in', 'a', 'quantum', 'wire', 'described', 'by', 'a', 'luttinger', 'liquid', 'in', 'two', 'relevant', 'situations', 'i', 'in', 'the', 'presence', 'of', 'a', 'single', 'impurity', 'within', 'the', 'wire', 'and', 'ii', 'under', 'the', 'effect', 'of', 'asymmetries', 'introduced', 'by', 'dirty', 'voltage', 'probes', 'in', 'the', 'first', 'case', 'interactions', 'leave', 'a', 'signature', 'in', 'a', 'power', 'law', 'behavior', 'of', 'r_4pt', 'as', 'a', 'function', 'of', 'the', 'voltage', 'v', 'and', 'the', 'temperature', 't', 'in', 'the', 'second', 'case', 'interactions', 'tend', 'to', 'mask', 'the', 'effect', 'of', 'the', 'asymmetries', 'in', 'both', 'scenarios', 'the', 'occurrence', 'of', 'negative', 'values', 'of', 'r_4pt', 'is', 'explained', 'in', 'simple', 'terms']] | [-0.19294229466374022, 0.13692470716143196, -0.051460117624950306, 0.03154062666586892, 0.021741294659523652, -0.16423197583568216, 0.07833127518692477, 0.2900165781811482, -0.24399481761749042, -0.2674851451972217, 0.026151797654238914, -0.2975899222673792, -0.12193676060761767, 0.16511103087528187, -0.023265877007177534, -0.017067039127766175, -0.050850513358271184, 0.024456296906326756, -0.07199235824512958, -0.19204726077221107, 0.29896593669128385, 0.024916416724362983, 0.27403380647960185, 0.08617222473446298, 0.03711695723103905, 0.016582100101831285, 0.03580394309164599, 0.11007545379489059, -0.09767030144370199, -0.018089490044259963, 0.23066333893009208, -0.0351041038697021, 0.22384018447212498, -0.424239631930385, -0.1913060610831687, 0.06718018555054159, 0.11696706082427291, 0.10208317185893204, -0.05391745083974769, -0.2664906971034302, 0.026237666987898676, -0.1879467405331782, -0.1246177099334697, 0.004078110811686275, 0.03339375728609586, 0.013592481826881248, -0.26285592990579326, 0.12097451205581727, 0.07684915981283694, 0.050027652396679376, -0.017963437424652805, -0.06776791675759461, 0.004473293929200883, 0.10099592614469749, 0.02791840430452592, -0.030336459313114784, 0.1543503611423828, -0.187938550402495, -0.1072128125645145, 0.3702617452639823, -0.12225151322123529, -0.17872335542595447, 0.12285238558031393, -0.20366042795487577, -0.05595597579153349, 0.08805196671840744, 0.1531677998929, 0.11241313908873843, -0.14409276188322992, 0.08056028627426272, 0.00525259885541869, 0.10788295695069011, 0.046876181644326394, 0.02022207559396823, 0.2539681113052248, 0.18077583760587554, 0.01165759868242524, 0.17656688642161286, -0.1393867033213904, -0.05875323800313653, -0.3326950172865481, -0.14559840229622117, -0.1650467880747535, 0.04869562482480148, -0.06186739423028852, -0.16435171234788318, 0.44245555026061606, 0.11632753069503139, 0.262307972468511, -0.01819009456143837, 0.27656250903524005, 0.11962635376763464, 0.07009711324453655, 0.015089610558605254, 0.23147348498377593, 0.1483474177181382, 0.13894382566495828, -0.28267963381861616, 0.12243804194484696, 0.017939891049995868] |
711.3639 | On manifestly sp(2) invariant formulation of quadratic higher spin
Lagrangians | The Lagrangian frame-like formulation of free higher spin symmetric bosonic
AdS(d) fields is given within a manifestly sp(2) invariant framework. It is
designed to deal with infinite multiplets of fields appearing as gauge
connections of the higher spin algebras.
| hep-th | the lagrangian framelike formulation of free higher spin symmetric bosonic adsd fields is given within a manifestly sp2 invariant framework it is designed to deal with infinite multiplets of fields appearing as gauge connections of the higher spin algebras | [['the', 'lagrangian', 'framelike', 'formulation', 'of', 'free', 'higher', 'spin', 'symmetric', 'bosonic', 'adsd', 'fields', 'is', 'given', 'within', 'a', 'manifestly', 'sp2', 'invariant', 'framework', 'it', 'is', 'designed', 'to', 'deal', 'with', 'infinite', 'multiplets', 'of', 'fields', 'appearing', 'as', 'gauge', 'connections', 'of', 'the', 'higher', 'spin', 'algebras']] | [-0.19586846901653096, 0.26776445501794416, -0.04889054779106608, 0.10402821738105746, -0.12640211845222765, -0.175327082319806, -0.11158623990531151, 0.34950236149896413, -0.18126301288318175, -0.26141888220818377, 0.018607199144286986, -0.2115710061401702, -0.16191264528494614, 0.026314590078515884, -0.04311054467987747, -0.007421450355114081, -0.06736240678060895, 0.11904191130246872, -0.18712998219789603, -0.2713246692139178, 0.3366613454209306, -0.021626759827948917, 0.27312991889910054, 0.0033064535936528747, 0.1891404787938182, 0.06390173659206201, -0.0036936972696238603, -0.009838742896532401, -0.060794033539982945, 0.14727481371030593, 0.29585342262035763, 0.0016642465041233944, 0.14160809964717677, -0.4126196729067044, -0.19312658762702575, 0.06886135872740012, 0.1353549814950197, 0.1542777446552347, -0.010479679158845848, -0.29455920098683774, 0.03796049668334234, -0.23200645417166063, -0.19494584136051485, -0.133596165654942, -0.0077453602153139236, -0.11627335626727496, -0.23258218739348918, 0.08984926080283447, 0.06467107223131908, 0.09659060917030542, -0.0992506365172374, -0.09603180858091666, -0.13091391410965186, 0.017504225067125682, 0.07750673796265171, 0.10812324855755716, 0.14318439199660832, -0.15392949768843558, -0.1813222729624846, 0.41899326615608656, -0.07925758166955067, -0.31084858062557685, 0.14902882588406405, -0.09653312736787857, -0.16837074648206815, 0.15614561287638468, 0.10228870059244144, 0.18546328153938818, -0.15060130291833326, 0.22564115645125127, -0.06711045743372196, 0.04503335197492001, 0.07319510888714248, 0.08535197568245423, 0.22916351261142737, 0.05618560634171351, 0.10023498479187345, 0.1458375420039281, 0.04632658095887074, -0.1724768589513424, -0.3560101118607399, -0.14343158413584417, -0.1145015104721563, 0.09179369517816947, -0.07196787670732309, -0.17955196193920878, 0.39439753481210804, 0.07159033281585345, 0.1064540357209551, 0.07454945648518893, 0.20065358419639942, 0.11944085156294303, 0.1987138964020862, -0.0036998575983139183, 0.1305087057288545, 0.353766538334103, 0.028211937238199588, -0.18676518904379544, -0.191904159489637, 0.14183341298634425] |
711.364 | Large-Scale Anisotropic Correlation Function of SDSS Luminous Red
Galaxies | We study the large-scale anisotropic two-point correlation function using
46,760 luminous red galaxies at redshifts 0.16 -- 0.47 from the Sloan Digital
Sky Survey. We measure the correlation function as a function of separations
parallel and perpendicular to the line-of-sight in order to take account of
anisotropy of the large-scale structure in redshift space. We find a slight
signal of baryonic features in the anisotropic correlation function, i.e., a
``baryon ridge'' which corresponds to a baryon acoustic peak in the spherically
averaged correlation function which has already been reported using the same
sample. The baryon ridge has primarily a spherical structure with a known
radius in comoving coordinates. It enables us to divide the redshift distortion
effects into dynamical and geometrical components and provides further
constraints on cosmological parameters, including the dark energy
equation-of-state. With an assumption of a flat $\Lambda$ cosmology, we find
the best-fit values of $\Omega_{\rm m} = 0.218^{+0.047}_{-0.037}$ and
$\Omega_{\rm b} = 0.047^{+0.016}_{-0.016}$ (68% C.L.) when we use the overall
shape of the anisotropic correlation function of $40<s<200\himpc$ including a
scale of baryon acoustic oscillations. When an additional assumption
$\Omega_{\rm b}h^2=0.024$ is adopted, we obtain $\Omega_{\rm
DE}=0.770^{+0.051}_{-0.040}$ and $w=-0.93^{+0.45}_{-0.35}$. These constraints
are estimated only from our data of the anisotropic correlation function, and
they agree quite well with values both from the cosmic microwave background
(CMB) anisotropies and from other complementary statistics using the LRG
sample. With the CMB prior from the 3 year WMAP results, we give stronger
constraints on those parameters.
| astro-ph | we study the largescale anisotropic twopoint correlation function using 46760 luminous red galaxies at redshifts 016 047 from the sloan digital sky survey we measure the correlation function as a function of separations parallel and perpendicular to the lineofsight in order to take account of anisotropy of the largescale structure in redshift space we find a slight signal of baryonic features in the anisotropic correlation function ie a baryon ridge which corresponds to a baryon acoustic peak in the spherically averaged correlation function which has already been reported using the same sample the baryon ridge has primarily a spherical structure with a known radius in comoving coordinates it enables us to divide the redshift distortion effects into dynamical and geometrical components and provides further constraints on cosmological parameters including the dark energy equationofstate with an assumption of a flat lambda cosmology we find the bestfit values of omega_rm m 02180047_0037 and omega_rm b 00470016_0016 68 cl when we use the overall shape of the anisotropic correlation function of 40s200himpc including a scale of baryon acoustic oscillations when an additional assumption omega_rm bh20024 is adopted we obtain omega_rm de07700051_0040 and w093045_035 these constraints are estimated only from our data of the anisotropic correlation function and they agree quite well with values both from the cosmic microwave background cmb anisotropies and from other complementary statistics using the lrg sample with the cmb prior from the 3 year wmap results we give stronger constraints on those parameters | [['we', 'study', 'the', 'largescale', 'anisotropic', 'twopoint', 'correlation', 'function', 'using', '46760', 'luminous', 'red', 'galaxies', 'at', 'redshifts', '016', '047', 'from', 'the', 'sloan', 'digital', 'sky', 'survey', 'we', 'measure', 'the', 'correlation', 'function', 'as', 'a', 'function', 'of', 'separations', 'parallel', 'and', 'perpendicular', 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'cosmology', 'we', 'find', 'the', 'bestfit', 'values', 'of', 'omega_rm', 'm', '02180047_0037', 'and', 'omega_rm', 'b', '00470016_0016', '68', 'cl', 'when', 'we', 'use', 'the', 'overall', 'shape', 'of', 'the', 'anisotropic', 'correlation', 'function', 'of', '40s200himpc', 'including', 'a', 'scale', 'of', 'baryon', 'acoustic', 'oscillations', 'when', 'an', 'additional', 'assumption', 'omega_rm', 'bh20024', 'is', 'adopted', 'we', 'obtain', 'omega_rm', 'de07700051_0040', 'and', 'w093045_035', 'these', 'constraints', 'are', 'estimated', 'only', 'from', 'our', 'data', 'of', 'the', 'anisotropic', 'correlation', 'function', 'and', 'they', 'agree', 'quite', 'well', 'with', 'values', 'both', 'from', 'the', 'cosmic', 'microwave', 'background', 'cmb', 'anisotropies', 'and', 'from', 'other', 'complementary', 'statistics', 'using', 'the', 'lrg', 'sample', 'with', 'the', 'cmb', 'prior', 'from', 'the', '3', 'year', 'wmap', 'results', 'we', 'give', 'stronger', 'constraints', 'on', 'those', 'parameters']] | [-0.09475936311619348, 0.08774907125505414, -0.10255077601909511, 0.10625143879523524, -0.12899569655426696, -0.04263819450707045, 0.0046826041259857894, 0.3627288765170835, -0.21054225387876924, -0.3349262453661839, 0.02594425781867722, -0.33038840001450953, -0.03927430359230137, 0.18328641390046713, 0.06277579823454826, 0.01673264032190976, -0.013379101646388194, -0.021368482866312696, -0.08781214312830535, -0.23514416550319517, 0.3265290270571279, 0.10585577143989858, 0.2913118242462979, -0.017699874365773006, 0.10185433672947361, -0.015478884383745272, -0.08929205627302454, 0.04065734863384157, -0.19877459350065868, 0.018225781111889577, 0.18870152210922841, 0.12154109376017373, 0.19553561013423787, -0.33936816820537596, -0.20547798867602657, 0.13685113020911263, 0.147565549785735, 0.1331961427683616, -0.029473684080738874, -0.2732525324205306, 0.03495224870010456, -0.14144229450369183, -0.10043640967796434, -0.0002902378549186301, 0.005050166233988943, 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711.3641 | Evolution of Primordial Black Holes in a radiation and phantom energy
environment | In this work we extend previous work on the evolution of a Primordial Black
Hole (PBH) to address the presence of a dark energy component with a
super-negative equation of state as a background, investigating the competition
between the radiation accretion, the Hawking evaporation and the phantom
accretion, the latter two causing a decrease on black hole mass. It is found
that there is an instant during the matter-dominated era after which the
radiation accretion becomes negligible compared to the phantom accretion. The
Hawking evaporation may become important again depending on a mass threshold.
The evaporation of PBHs is quite modified at late times by these effects, but
only if the Generalized Second Law of thermodynamics is violated.
| gr-qc | in this work we extend previous work on the evolution of a primordial black hole pbh to address the presence of a dark energy component with a supernegative equation of state as a background investigating the competition between the radiation accretion the hawking evaporation and the phantom accretion the latter two causing a decrease on black hole mass it is found that there is an instant during the matterdominated era after which the radiation accretion becomes negligible compared to the phantom accretion the hawking evaporation may become important again depending on a mass threshold the evaporation of pbhs is quite modified at late times by these effects but only if the generalized second law of thermodynamics is violated | [['in', 'this', 'work', 'we', 'extend', 'previous', 'work', 'on', 'the', 'evolution', 'of', 'a', 'primordial', 'black', 'hole', 'pbh', 'to', 'address', 'the', 'presence', 'of', 'a', 'dark', 'energy', 'component', 'with', 'a', 'supernegative', 'equation', 'of', 'state', 'as', 'a', 'background', 'investigating', 'the', 'competition', 'between', 'the', 'radiation', 'accretion', 'the', 'hawking', 'evaporation', 'and', 'the', 'phantom', 'accretion', 'the', 'latter', 'two', 'causing', 'a', 'decrease', 'on', 'black', 'hole', 'mass', 'it', 'is', 'found', 'that', 'there', 'is', 'an', 'instant', 'during', 'the', 'matterdominated', 'era', 'after', 'which', 'the', 'radiation', 'accretion', 'becomes', 'negligible', 'compared', 'to', 'the', 'phantom', 'accretion', 'the', 'hawking', 'evaporation', 'may', 'become', 'important', 'again', 'depending', 'on', 'a', 'mass', 'threshold', 'the', 'evaporation', 'of', 'pbhs', 'is', 'quite', 'modified', 'at', 'late', 'times', 'by', 'these', 'effects', 'but', 'only', 'if', 'the', 'generalized', 'second', 'law', 'of', 'thermodynamics', 'is', 'violated']] | [-0.10858547918585335, 0.18390437851226357, -0.11273435162285626, 0.13489456241851736, -0.06333372105007708, -0.11682152403992112, -0.016374108764358748, 0.2685304391829265, -0.1743776429073601, -0.31887690155466986, 0.09599165673963568, -0.3105245758305793, -0.03516311784495868, 0.1908138073917668, -0.03767189246965414, -0.02337502156407967, 0.02967004618070767, 0.04540642252846984, -0.05621189567047345, -0.26249322887131216, 0.3782578067256185, 0.15285611864459558, 0.20924836213274275, 0.0712033528242639, 0.06934799781953127, -0.05282163510880417, -0.0007173021785693906, -0.0002365591777962143, -0.1763277398445175, -0.022644228582128376, 0.17958489631823563, 0.11157524409719695, 0.2599239956796706, -0.41060338589220735, -0.2704478658230628, 0.12377291499495001, 0.1498423691057616, 0.13428387565486985, -0.11911144982766897, -0.21467418621404696, 0.032226652640975635, -0.24351499230458828, -0.07573282288908327, 0.05809195946815218, 0.06486486267866724, -0.09126480939695454, -0.21944846463156864, 0.14753112890284067, 0.09934862382449526, -0.10793027935265484, -0.12517365302014463, 0.005971257598533974, -0.08364330105467747, 0.04086635086953766, 0.15392571597723131, 0.01540557675900222, 0.24280973657239543, -0.1431762939378209, -0.023505359248779084, 0.38121028839594734, -0.09511932524678818, -0.08310122068150569, 0.1615708587470196, -0.19631080936750997, -0.12039837506362948, 0.16283964243583318, 0.11981343698956198, 0.16094247588496388, -0.12334470694931027, 0.06052987307450197, 0.04776219093098731, 0.20484346728249042, 0.12568562347599763, -0.017684670323032444, 0.3844972566654116, 0.14807793673254172, 0.006910416893503171, 0.13763678622416267, -0.05531983481033437, -0.10203915006496896, -0.28788062452212354, -0.1426433542964317, -0.1749079374209741, 0.1307485708700477, -0.11777080127846556, -0.16101739743440333, 0.3179766674115622, 0.11133023716757957, 0.21375200641736136, 0.020893744501814058, 0.3194946674630046, 0.1351980250274518, 0.008418336356753263, 0.10252964143340143, 0.33917912226801705, 0.10810726318484709, 0.1765587276944859, -0.28325472982680244, 0.06965721248633276, 0.03121938292426452] |
711.3642 | Galois theory in bicategories | We develop a Galois (descent) theory for comonads within the framework of
bicategories. We give generalizations of Beck's theorem and the Joyal-Tierney
theorem. Many examples are provided, including classical descent theory,
Hopf-Galois theory over Hopf algebras and Hopf algebroids, Galois theory for
corings and group-corings, and Morita-Takeuchi theory for corings. As an
application we construct a new type of comatrix corings based on (dual) quasi
bialgebras.
| math.RA math.CT | we develop a galois descent theory for comonads within the framework of bicategories we give generalizations of becks theorem and the joyaltierney theorem many examples are provided including classical descent theory hopfgalois theory over hopf algebras and hopf algebroids galois theory for corings and groupcorings and moritatakeuchi theory for corings as an application we construct a new type of comatrix corings based on dual quasi bialgebras | [['we', 'develop', 'a', 'galois', 'descent', 'theory', 'for', 'comonads', 'within', 'the', 'framework', 'of', 'bicategories', 'we', 'give', 'generalizations', 'of', 'becks', 'theorem', 'and', 'the', 'joyaltierney', 'theorem', 'many', 'examples', 'are', 'provided', 'including', 'classical', 'descent', 'theory', 'hopfgalois', 'theory', 'over', 'hopf', 'algebras', 'and', 'hopf', 'algebroids', 'galois', 'theory', 'for', 'corings', 'and', 'groupcorings', 'and', 'moritatakeuchi', 'theory', 'for', 'corings', 'as', 'an', 'application', 'we', 'construct', 'a', 'new', 'type', 'of', 'comatrix', 'corings', 'based', 'on', 'dual', 'quasi', 'bialgebras']] | [-0.11747895118852074, -0.002220714169043976, -0.12582870555611758, 0.18822935831088286, -0.1418945315365608, -0.17181688981274, -0.040551580590769076, 0.3295335801175007, -0.4122150119680625, -0.18165457527815865, 0.09157106875119587, -0.1908147522749809, -0.2441720193395248, 0.2420025416291677, -0.22608121120944047, -0.07692816085540331, 0.020542058255523445, 0.11578822913221441, -0.11798806722060992, -0.26836524896789343, 0.3667437389134788, -0.031962002290842624, 0.22212138345214325, 0.038440847146109895, 0.14849707078761779, 0.09616264030337333, -0.009801091942846632, -0.0024650565706766567, -0.2229020924235766, 0.13448745352216065, 0.38013261568087797, 0.09539393895807174, 0.22971934251523074, -0.40204040276316494, -0.08032354856483065, 0.12657447511043687, 0.09207490775734187, 0.10331987698669903, -0.06650867752480105, -0.34635956867669637, 0.10287811889384801, -0.2847156369413894, -0.0955182344151231, -0.1696621934381815, 0.013754203543066978, 0.03790575191378594, -0.22259245635941624, -0.005613016329992276, 0.12088303804540863, 0.22417971834253805, -0.1220441638921889, -0.07499071386857675, -0.017762979191656297, 0.003904621166965136, -0.06409323424673997, -0.03719665204676298, 0.13692259981225316, -0.060360052393606076, -0.2708552418133387, 0.30861338376998904, -0.0454537687321695, -0.1430841436681266, 0.11706925397738814, -0.020796116606260722, -0.2204334259677965, 0.02900514553945798, 0.04684611912100361, 0.19615155558030192, -0.003977327084598633, 0.22075505776402468, -0.1733541387778062, -0.03527027104909603, 0.11352566951670899, 0.0389274991189058, 0.13000387185020373, 0.09424349744446002, 0.0659730901574501, 0.11577238314426862, 0.04579157126852526, -0.14232003832450854, -0.39532282444146966, -0.16003304209130315, 0.0534552957289494, 0.1252616108323519, -0.09996554738967321, -0.23375689279682074, 0.3747058158023999, 0.12853424480596845, 0.09226670702919364, 0.18949692650483205, 0.15138835933489295, 0.037022038662018114, 0.06176545018186936, 0.0025828249412230575, 0.1205452588530114, 0.4520387146335382, 0.01783713345738271, -0.02958082230045245, -0.17404372402681753, 0.35764016535562965] |
711.3643 | Stability of Bounded Solutions for Degenerate Complex Monge-Amp\`ere
equations | We generalize and strenghten Ko{\l}odziej's stability theorem. In particular
we give sharp stability exponent and treat the case with more singular right
hand side of the Monge-Amp\`ere equation.
| math.CV | we generalize and strenghten kolodziejs stability theorem in particular we give sharp stability exponent and treat the case with more singular right hand side of the mongeampere equation | [['we', 'generalize', 'and', 'strenghten', 'kolodziejs', 'stability', 'theorem', 'in', 'particular', 'we', 'give', 'sharp', 'stability', 'exponent', 'and', 'treat', 'the', 'case', 'with', 'more', 'singular', 'right', 'hand', 'side', 'of', 'the', 'mongeampere', 'equation']] | [-0.1310056221679718, -0.0015412319584616593, -0.12308680698541659, 0.0987556552780526, -0.14825180795950083, -0.27078069074611577, 0.01987902743608824, 0.2597513310611248, -0.24545116373337805, -0.12316361335771424, 0.16119736397688808, -0.3187059714858021, -0.16583916172385216, 0.21330692451114633, -0.12899767554232053, 0.028253347346825258, 0.014634948356875352, 0.05604303348809481, -0.09702990140898951, -0.2526874260178634, 0.3826050494930574, -0.06054549950308034, 0.19732402371508734, 0.1543706882927966, 0.016402340793449963, 0.024958069402990595, 0.02291321411861905, -0.042193318983273845, -0.26844011938997675, 0.11403063145865287, 0.21215981171865547, -0.004685467707791499, 0.23621533185775792, -0.4048106057702431, -0.16051581703192955, 0.1599572192811008, 0.13821713395217167, 0.05261740367859602, -0.038348369278017866, -0.2961494422966747, 0.09946835074307663, -0.10236747353337705, -0.2650013408191236, -0.09103653563319572, -0.046363511538532166, 0.05693671592910375, -0.24135909608698317, 0.19439980121595518, 0.14768222027591296, 0.024909258969793364, -0.14313839465778852, -0.11537063626539228, -0.023852736023919924, 0.06814778469769019, 0.06307210626878909, -0.047816012965215905, 0.041026104890209227, -0.09355389566293784, -0.04224484445460673, 0.3000882175235477, -0.06722298357635736, -0.26021864190365057, 0.1594214136712253, -0.20383876337603266, -0.14434886910021305, 0.004419994174635836, 0.11379819044045039, 0.20873083154271757, -0.020913907193711827, 0.14983580048179387, -0.055303142904969196, 0.14149688989190118, 0.18578845179373665, 0.04819066526501307, -0.006175628663705928, 0.09798291730528165, 0.21330984725084687, 0.1984310131520033, -0.006294042819977871, -0.11787681600877217, -0.2939108246937394, -0.15915865145091498, -0.04958117640178118, 0.11136138130729835, -0.126633817561794, -0.17230113189933555, 0.34273266745731235, 0.1742045934079215, 0.19956526679119893, 0.10831329652241298, 0.2350612531549164, 0.1593341367552057, -0.09421216027944215, 0.06681988029075521, 0.1769138408292617, 0.22561716674161808, 0.14100150231804168, -0.15865294495597482, 0.01222365178234343, 0.1958954847484295] |
711.3644 | Fluctuations as stochastic deformation | A notion of stochastic deformation is introduced and the corresponding
algebraic deformation procedure is developed. This procedure is analogous to
the deformation of an algebra of observables like deformation quantization, but
for an imaginary deformation parameter (the Planck constant). This method is
demonstrated on diverse relativistic and nonrelativistic models with finite and
infinite degrees of freedom. It is shown that under stochastic deformation the
model of a nonrelativistic particle interacting with the electromagnetic field
on a curved background passes into the stochastic model described by the
Fokker-Planck equation with the diffusion tensor being the inverse metric
tensor. The first stochastic correction to the Newton equations for this system
is found. The Klein-Kramers equation is also derived as the stochastic
deformation of a certain classical model. Relativistic generalizations of the
Fokker-Planck and Klein-Kramers equations are obtained by applying the
procedure of stochastic deformation to appropriate relativistic classical
models. The analog of the Fokker-Planck equation associated with the stochastic
Lorentz-Dirac equation is derived too. The stochastic deformation of the models
of a free scalar field and an electromagnetic field is investigated. It turns
out that in the latter case the obtained stochastic model describes a
fluctuating electromagnetic field in a transparent medium.
| cond-mat.stat-mech hep-th | a notion of stochastic deformation is introduced and the corresponding algebraic deformation procedure is developed this procedure is analogous to the deformation of an algebra of observables like deformation quantization but for an imaginary deformation parameter the planck constant this method is demonstrated on diverse relativistic and nonrelativistic models with finite and infinite degrees of freedom it is shown that under stochastic deformation the model of a nonrelativistic particle interacting with the electromagnetic field on a curved background passes into the stochastic model described by the fokkerplanck equation with the diffusion tensor being the inverse metric tensor the first stochastic correction to the newton equations for this system is found the kleinkramers equation is also derived as the stochastic deformation of a certain classical model relativistic generalizations of the fokkerplanck and kleinkramers equations are obtained by applying the procedure of stochastic deformation to appropriate relativistic classical models the analog of the fokkerplanck equation associated with the stochastic lorentzdirac equation is derived too the stochastic deformation of the models of a free scalar field and an electromagnetic field is investigated it turns out that in the latter case the obtained stochastic model describes a fluctuating electromagnetic field in a transparent medium | [['a', 'notion', 'of', 'stochastic', 'deformation', 'is', 'introduced', 'and', 'the', 'corresponding', 'algebraic', 'deformation', 'procedure', 'is', 'developed', 'this', 'procedure', 'is', 'analogous', 'to', 'the', 'deformation', 'of', 'an', 'algebra', 'of', 'observables', 'like', 'deformation', 'quantization', 'but', 'for', 'an', 'imaginary', 'deformation', 'parameter', 'the', 'planck', 'constant', 'this', 'method', 'is', 'demonstrated', 'on', 'diverse', 'relativistic', 'and', 'nonrelativistic', 'models', 'with', 'finite', 'and', 'infinite', 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711.3645 | Diophantine Approximation on varieties III: Approximation of
non-algebraic points by algebraic points | For $\theta$ a non-algebraic point on a quasi projective variety over a
number field, I prove that $\theta$ has an approximation by a series of
algebraic points of bounded height and degree which is essentially best
possible.
Applications of this result will include a proof of a slightly strengthened
version of the Philippon criterion, some new algebraic independence criteria,
statements concerning metric transcendence theory on varieties of arbitrary
dimension, and a rather accurate estimate for the number of algebraic points of
bounded height and degree on quasi projective varieties over number fields.
| math.NT math.AG | for theta a nonalgebraic point on a quasi projective variety over a number field i prove that theta has an approximation by a series of algebraic points of bounded height and degree which is essentially best possible applications of this result will include a proof of a slightly strengthened version of the philippon criterion some new algebraic independence criteria statements concerning metric transcendence theory on varieties of arbitrary dimension and a rather accurate estimate for the number of algebraic points of bounded height and degree on quasi projective varieties over number fields | [['for', 'theta', 'a', 'nonalgebraic', 'point', 'on', 'a', 'quasi', 'projective', 'variety', 'over', 'a', 'number', 'field', 'i', 'prove', 'that', 'theta', 'has', 'an', 'approximation', 'by', 'a', 'series', 'of', 'algebraic', 'points', 'of', 'bounded', 'height', 'and', 'degree', 'which', 'is', 'essentially', 'best', 'possible', 'applications', 'of', 'this', 'result', 'will', 'include', 'a', 'proof', 'of', 'a', 'slightly', 'strengthened', 'version', 'of', 'the', 'philippon', 'criterion', 'some', 'new', 'algebraic', 'independence', 'criteria', 'statements', 'concerning', 'metric', 'transcendence', 'theory', 'on', 'varieties', 'of', 'arbitrary', 'dimension', 'and', 'a', 'rather', 'accurate', 'estimate', 'for', 'the', 'number', 'of', 'algebraic', 'points', 'of', 'bounded', 'height', 'and', 'degree', 'on', 'quasi', 'projective', 'varieties', 'over', 'number', 'fields']] | [-0.21272804755616284, 0.045665768414397935, -0.12884237572712742, 0.07513515121789406, -0.0902607910203464, -0.14509521514359539, 0.07314700484668087, 0.2651491187811505, -0.28737326249804185, -0.2395280570237209, 0.09608395519139974, -0.19593457426146968, -0.13098421171826372, 0.28492448252180347, -0.11819403730940235, 0.016166623752645177, 0.010407641808421391, 0.1020322079345098, -0.08121128625087136, -0.34676982863279787, 0.39619591307785845, -0.03157209661667761, 0.2182401439640671, 0.06978043998875048, 0.1357331197080424, 0.06513316901501916, -0.0120135869010878, 0.061678629864574126, -0.15613027164276308, 0.13826771860982737, 0.255203485124461, 0.1197008614924372, 0.26050431131506746, -0.3413644652287273, -0.17583332463855977, 0.16278859403784104, 0.10538296329626895, 0.07002324801641921, 0.011343741220037413, -0.23179707914064435, 0.09314674924573173, -0.1317822340873966, -0.22484308237756562, -0.08419350156074633, 0.047842959844274446, 0.05055638493808067, -0.2695699651907805, -0.021471235389902216, 0.13201900478072828, 0.2235401179766442, -0.009852826190383537, -0.1320334454585859, 0.0022165733749399965, -0.018770440427191636, -0.007284197467885426, 0.07285878482355695, 0.06092533785546118, -0.12313959720979809, -0.10372633934932073, 0.3090091543474599, -0.021679732088080567, -0.2155311771784909, 0.1562552913863961, -0.12445660880463116, -0.11481400457737238, 0.14751501788850874, 0.14317973542695298, 0.15961608083149337, -0.007075088746521784, 0.17482228209985845, -0.13589600702423765, 0.14047534288692987, 0.14789836465016656, 0.012718228506855667, 0.13913764481738958, 0.05134416287056292, 0.13648785073208905, 0.09773793256254462, -0.009887437353862206, -0.06533571895346066, -0.37694683640628407, -0.1742915156996194, -0.16663088461981437, 0.16550765781784835, -0.16625259168216397, -0.22072017358858947, 0.43343852830888785, 0.07024284395510735, 0.20448854265977506, 0.13130865306163247, 0.2396466301187225, 0.05686605740566333, -0.016299401614006732, 0.019088360617625647, 0.12512199376341532, 0.24717414988781852, -0.005910553675873772, -0.07827409223714114, 0.06609254004433751, 0.18894837888396782] |
711.3646 | Intrinsic and Extrinsic Performance Limits of Graphene Devices on SiO2 | The linear dispersion relation in graphene[1,2] gives rise to a surprising
prediction: the resistivity due to isotropic scatterers (e.g. white-noise
disorder[3] or phonons[4-8]) is independent of carrier density n. Here we show
that acoustic phonon scattering[4-6] is indeed independent of n, and places an
intrinsic limit on the resistivity in graphene of only 30 Ohm at room
temperature (RT). At a technologically-relevant carrier density of 10^12 cm^-2,
the mean free path for electron-acoustic phonon scattering is >2 microns, and
the intrinsic mobility limit is 2x10^5 cm^2/Vs, exceeding the highest known
inorganic semiconductor (InSb, ~7.7x10^4 cm^2/Vs[9]) and semiconducting carbon
nanotubes (~1x10^5 cm^2/Vs[10]). We also show that extrinsic scattering by
surface phonons of the SiO2 substrate[11,12] adds a strong temperature
dependent resistivity above ~200 K[8], limiting the RT mobility to ~4x10^4
cm^2/Vs, pointing out the importance of substrate choice for graphene
devices[13].
| cond-mat.mtrl-sci cond-mat.other | the linear dispersion relation in graphene12 gives rise to a surprising prediction the resistivity due to isotropic scatterers eg whitenoise disorder3 or phonons48 is independent of carrier density n here we show that acoustic phonon scattering46 is indeed independent of n and places an intrinsic limit on the resistivity in graphene of only 30 ohm at room temperature rt at a technologicallyrelevant carrier density of 1012 cm2 the mean free path for electronacoustic phonon scattering is 2 microns and the intrinsic mobility limit is 2x105 cm2vs exceeding the highest known inorganic semiconductor insb 77x104 cm2vs9 and semiconducting carbon nanotubes 1x105 cm2vs10 we also show that extrinsic scattering by surface phonons of the sio2 substrate1112 adds a strong temperature dependent resistivity above 200 k8 limiting the rt mobility to 4x104 cm2vs pointing out the importance of substrate choice for graphene devices13 | [['the', 'linear', 'dispersion', 'relation', 'in', 'graphene12', 'gives', 'rise', 'to', 'a', 'surprising', 'prediction', 'the', 'resistivity', 'due', 'to', 'isotropic', 'scatterers', 'eg', 'whitenoise', 'disorder3', 'or', 'phonons48', 'is', 'independent', 'of', 'carrier', 'density', 'n', 'here', 'we', 'show', 'that', 'acoustic', 'phonon', 'scattering46', 'is', 'indeed', 'independent', 'of', 'n', 'and', 'places', 'an', 'intrinsic', 'limit', 'on', 'the', 'resistivity', 'in', 'graphene', 'of', 'only', '30', 'ohm', 'at', 'room', 'temperature', 'rt', 'at', 'a', 'technologicallyrelevant', 'carrier', 'density', 'of', '1012', 'cm2', 'the', 'mean', 'free', 'path', 'for', 'electronacoustic', 'phonon', 'scattering', 'is', '2', 'microns', 'and', 'the', 'intrinsic', 'mobility', 'limit', 'is', '2x105', 'cm2vs', 'exceeding', 'the', 'highest', 'known', 'inorganic', 'semiconductor', 'insb', '77x104', 'cm2vs9', 'and', 'semiconducting', 'carbon', 'nanotubes', '1x105', 'cm2vs10', 'we', 'also', 'show', 'that', 'extrinsic', 'scattering', 'by', 'surface', 'phonons', 'of', 'the', 'sio2', 'substrate1112', 'adds', 'a', 'strong', 'temperature', 'dependent', 'resistivity', 'above', '200', 'k8', 'limiting', 'the', 'rt', 'mobility', 'to', '4x104', 'cm2vs', 'pointing', 'out', 'the', 'importance', 'of', 'substrate', 'choice', 'for', 'graphene', 'devices13']] | [-0.1478216070184157, 0.21254893488044946, -0.01050219310177419, -0.03094820018843499, -0.009356730761546785, -0.15803402991083856, 0.11390657627329458, 0.4231498302564821, -0.21706922259681613, -0.2917920853373886, -0.011256168502247857, -0.3663608792401452, -0.08443333218336276, 0.21848850110225834, -0.004218250228703477, 0.004679064998644909, -0.054489809632272894, -0.036006233178591, -0.06621948782112876, -0.20792683936435133, 0.2020069743926061, 0.08127563890382533, 0.353602712465635, 0.15874035479785262, 0.10385407734207297, 0.005186983089154685, 0.08780929239338818, 0.01570401751020397, -0.16307746762294725, 0.02993821683837428, 0.2649001593751307, -0.17263695987873223, 0.20248397451093178, -0.4002772337892128, -0.23325153448057312, -0.03791450361724772, 0.1378345485399646, 0.10549409528270022, -0.017073470143821688, -0.1788704899825753, 0.09680102908813203, -0.11235771962185569, -0.11776015384173605, 0.013585320538805642, 0.06339486993010376, -0.04129823594076829, -0.2100141225853679, 0.17213128615176937, 0.049682608642082175, 0.06946728580306064, -0.09371059451861848, -0.1798589857195625, -0.0720309675546747, 0.03412339956640045, 0.05091297304442593, 0.020729860827639585, 0.25986758096655477, -0.1024989373093286, -0.024100784615805473, 0.35504821227252026, -0.10569724315628125, -0.054766974276827494, 0.18340933565867937, -0.18917189704481768, -0.012039940098641825, 0.2374056982914455, 0.09797653732892439, 0.0643580618282453, -0.14875439536324098, 0.09425340005497, -0.028393270029732603, 0.2210662007715752, 0.12190558995966239, 0.10163700302977485, 0.23413054032042624, 0.1899444138744974, 0.06514845758264187, 0.06408832631320942, -0.15397387766990214, 0.07670180936777637, -0.22847515136405172, -0.186278834848359, -0.21859553052940697, 0.20371537513405313, -0.16416498162227822, -0.18250087527593753, 0.3360327104504668, 0.1883570301583755, 0.1823751238380907, 0.04219595628625265, 0.23412872603490154, 0.15659149105034997, 0.07219153390628577, 0.07318416976490776, 0.22156250228010516, 0.2262552453965688, 0.09645783518377038, -0.2691326963942754, 0.04811728485852821, -0.05528225328325372] |
711.3647 | Dual Fermion Approach to Susceptibility of Correlated Lattice Fermions | In this paper, we show how the two-particle Green function (2PGF) can be
obtained within the framework of the Dual Fermion approach. This facilitates
the calculation of the susceptibility in strongly correlated systems where
long-ranged non-local correlations cannot be neglected. We formulate the
Bethe-Salpeter equations for the full vertex in the particle-particle and
particle-hole channels and introduce an approximation for practical
calculations. The scheme is applied to the two-dimensional Hubbard model at
half filling. The spin-spin susceptibility is found to strongly increase for
the wavevector $\vc{q}=(\pi,\pi)$, indicating the antiferromagnetic
instability. We find a suppression of the critical temperature compared to the
mean-field result due to the incorporation of the non-local spin-fluctuations.
| cond-mat.str-el | in this paper we show how the twoparticle green function 2pgf can be obtained within the framework of the dual fermion approach this facilitates the calculation of the susceptibility in strongly correlated systems where longranged nonlocal correlations cannot be neglected we formulate the bethesalpeter equations for the full vertex in the particleparticle and particlehole channels and introduce an approximation for practical calculations the scheme is applied to the twodimensional hubbard model at half filling the spinspin susceptibility is found to strongly increase for the wavevector vcqpipi indicating the antiferromagnetic instability we find a suppression of the critical temperature compared to the meanfield result due to the incorporation of the nonlocal spinfluctuations | [['in', 'this', 'paper', 'we', 'show', 'how', 'the', 'twoparticle', 'green', 'function', '2pgf', 'can', 'be', 'obtained', 'within', 'the', 'framework', 'of', 'the', 'dual', 'fermion', 'approach', 'this', 'facilitates', 'the', 'calculation', 'of', 'the', 'susceptibility', 'in', 'strongly', 'correlated', 'systems', 'where', 'longranged', 'nonlocal', 'correlations', 'can', 'not', 'be', 'neglected', 'we', 'formulate', 'the', 'bethesalpeter', 'equations', 'for', 'the', 'full', 'vertex', 'in', 'the', 'particleparticle', 'and', 'particlehole', 'channels', 'and', 'introduce', 'an', 'approximation', 'for', 'practical', 'calculations', 'the', 'scheme', 'is', 'applied', 'to', 'the', 'twodimensional', 'hubbard', 'model', 'at', 'half', 'filling', 'the', 'spinspin', 'susceptibility', 'is', 'found', 'to', 'strongly', 'increase', 'for', 'the', 'wavevector', 'vcqpipi', 'indicating', 'the', 'antiferromagnetic', 'instability', 'we', 'find', 'a', 'suppression', 'of', 'the', 'critical', 'temperature', 'compared', 'to', 'the', 'meanfield', 'result', 'due', 'to', 'the', 'incorporation', 'of', 'the', 'nonlocal', 'spinfluctuations']] | [-0.15473230934955856, 0.132685133007445, -0.0736943047536029, 0.08442869311706587, -0.018229613929394293, -0.1094374865505167, 0.04043934768467972, 0.33584825079041447, -0.2579726071816615, -0.22598071044141596, -0.00453851495932957, -0.30812915343452585, -0.1659897059540857, 0.1237387656445869, 0.05635333406442607, 0.013708390498703177, 0.002437492316080765, 0.0007268555716357448, -0.12716631736098366, -0.23943945251786233, 0.31393333908847787, 0.03152472404763103, 0.2808385546742515, 0.1713298662988977, 0.01461264927956191, 0.08245060040446167, 0.04256765964779664, 0.03718022829006341, -0.1262387347809801, 0.0468334243781018, 0.2558201262896711, -0.03549448639069769, 0.23675793165470663, -0.41355140256610784, -0.22176172674040903, 0.048556381565603345, 0.17830478417771783, 0.18514847768766976, 0.0019837938524274665, -0.2828177407595583, 0.03999364327385344, -0.20634840189648623, -0.1584643793234136, -0.10875864913105034, -0.04675828098234805, -0.011186717543751001, -0.30752749482423747, 0.15041013760492206, 0.04577949974177913, 0.013808278393844376, -0.0730561145327308, -0.10495231861079281, -0.02919972067783502, 0.07985985075462271, 0.019997377872509374, 0.07826891861940649, 0.0992138382259079, -0.1483585892668502, -0.09058027004780755, 0.3888922343961895, -0.06238767547024922, -0.19430365459146826, 0.1556749918159436, -0.17655019706792452, -0.07465655977245081, 0.14535573626953094, 0.15339692556510934, 0.08653198784555902, -0.17383458268595858, 0.07852416600296486, -0.024268629313023253, 0.1738176218255169, -0.03369038986169141, 0.05702972592447292, 0.1694134060547433, 0.1517187785060907, 0.055483550917018544, 0.17681609386027874, -0.07328035108829764, -0.13568999874405563, -0.2934189336670732, -0.1139137481593273, -0.20043236732652242, 0.007536757688847667, -0.0662322672377658, -0.1722766236232763, 0.41346905095914815, 0.20284960482438857, 0.1590256625701758, 0.01976917686406523, 0.24525928064884447, 0.2035782646096777, 0.09487689192174002, 0.08208544004962526, 0.25970896247097036, 0.15723429693290117, 0.09456752263517543, -0.33931269676170567, 0.04131769734138453, 0.0740389794068919] |
711.3648 | Parastatistics Algebra and Super Semistandard Young Tableaux | We consider the parastatistics algebra with both parabosonic and
parafermionic operators and show that the states in the universal
parastatistics Fock space are in bijection with the Super Semistandard Young
Tableaux (SSYT). Using deformation of the parastatistics algebra we get a
monoid structure on SSYT which is a super version of the plactic monoid.
| math-ph math.MP | we consider the parastatistics algebra with both parabosonic and parafermionic operators and show that the states in the universal parastatistics fock space are in bijection with the super semistandard young tableaux ssyt using deformation of the parastatistics algebra we get a monoid structure on ssyt which is a super version of the plactic monoid | [['we', 'consider', 'the', 'parastatistics', 'algebra', 'with', 'both', 'parabosonic', 'and', 'parafermionic', 'operators', 'and', 'show', 'that', 'the', 'states', 'in', 'the', 'universal', 'parastatistics', 'fock', 'space', 'are', 'in', 'bijection', 'with', 'the', 'super', 'semistandard', 'young', 'tableaux', 'ssyt', 'using', 'deformation', 'of', 'the', 'parastatistics', 'algebra', 'we', 'get', 'a', 'monoid', 'structure', 'on', 'ssyt', 'which', 'is', 'a', 'super', 'version', 'of', 'the', 'plactic', 'monoid']] | [-0.09965633121491582, 0.19840175592926917, -0.07422050497391158, 0.0960030218487157, -0.11653137669674363, -0.08380633889249077, -0.0035457071261825383, 0.3395090829581022, -0.35066991423567134, -0.19884159264189225, 0.10343511071901217, -0.23681017120058337, -0.16155005860383864, 0.11441731992764054, -0.16491377343320185, -0.06866704010301167, 0.08358580229321012, 0.09858526792204766, -0.13368555057914583, -0.19330693464036341, 0.4294339915116628, 0.023355396671427622, 0.22559096436533663, -0.07426780081112627, 0.11264195818350548, 0.03800858408686946, 0.009406983938620047, -0.06095483418849418, -0.1078621775944797, 0.12825162149426803, 0.24472659496435276, 0.09338383599943309, 0.12127922261047556, -0.3865293419264533, -0.005327536241599807, 0.13067786393825104, 0.17045671800668868, 0.02507859807142436, -0.050869488478552, -0.3203663604885892, 0.0007851416529673669, -0.27730693578444143, -0.1308481663086072, -0.07528768369445095, 0.05262330362435292, -0.0039000437698430484, -0.2687980562105723, 0.0029956839582020484, 0.07806608025674466, 0.09242114403147113, -0.07261182636419242, -0.1359087525849679, -0.0763617728802341, 0.015916354074660275, -0.13025205166518894, 0.02069917096135517, 0.08747306572169894, -0.1534004347157423, -0.22376626305696037, 0.32864808608536367, 0.022605523708517903, -0.2592326669988257, 0.12443391394077076, -0.2771380559058377, -0.19599221628676686, 0.03525248442828241, -0.006462853285484016, 0.1243095910521569, -0.025181298291297734, 0.2237914280461458, -0.22406787395960204, 0.07080948195868621, 0.11384624316081128, 0.05774660697379322, 0.135259464400372, 0.10361822798020309, 0.021493810918872005, 0.23970194102299433, 0.04579401451283721, -0.05940536754550757, -0.3327872161236074, -0.21462101223706095, -0.10352314689576074, 0.05656506710996231, -0.09904083676789284, -0.2014214014462023, 0.3565047148666862, 0.07601233782177721, 0.16771984659350925, 0.12792242936039758, 0.10387828470104271, 0.11904728122883373, 0.16173326767360172, 0.0073888040820343625, 0.07557910587638617, 0.274872071661607, 0.009810880059376359, -0.19835599831788353, -0.07520858932252007, 0.27563897144325356] |
711.3649 | Plasmon spectra of nanospheres under a tightly focused beam | We study the modification of the far-field cross sections and the near-field
enhancement for gold and silver nanospheres illuminated by a tightly focused
beam. Using a multipole-expansion approach we obtain an analytical solution to
the scattering problem and provide insight on the effects of focusing on the
optical response. Large differences with respect to Mie theory are found
especially when the nanoparticle supports quadrupole or higher-order
resonances.
| physics.optics physics.chem-ph | we study the modification of the farfield cross sections and the nearfield enhancement for gold and silver nanospheres illuminated by a tightly focused beam using a multipoleexpansion approach we obtain an analytical solution to the scattering problem and provide insight on the effects of focusing on the optical response large differences with respect to mie theory are found especially when the nanoparticle supports quadrupole or higherorder resonances | [['we', 'study', 'the', 'modification', 'of', 'the', 'farfield', 'cross', 'sections', 'and', 'the', 'nearfield', 'enhancement', 'for', 'gold', 'and', 'silver', 'nanospheres', 'illuminated', 'by', 'a', 'tightly', 'focused', 'beam', 'using', 'a', 'multipoleexpansion', 'approach', 'we', 'obtain', 'an', 'analytical', 'solution', 'to', 'the', 'scattering', 'problem', 'and', 'provide', 'insight', 'on', 'the', 'effects', 'of', 'focusing', 'on', 'the', 'optical', 'response', 'large', 'differences', 'with', 'respect', 'to', 'mie', 'theory', 'are', 'found', 'especially', 'when', 'the', 'nanoparticle', 'supports', 'quadrupole', 'or', 'higherorder', 'resonances']] | [-0.06745551662364353, 0.07235076931983438, -0.07748187107570244, 0.07002635577439585, -0.04793954240228755, -0.09251077923302849, -0.004817472102303961, 0.4215995084889459, -0.2008505346055961, -0.30537080397621275, 0.021089513454529824, -0.3553688210632765, -0.1561930643881417, 0.22793020310487147, 0.03776177250300393, 0.08033386943861842, 0.051736131180818615, -0.023450620066300457, -0.0004849158312109384, -0.1315318958156488, 0.32684229077968857, 0.07123193968172101, 0.30901816996717546, 0.1602440533919655, 0.04508238367447065, 0.07525934113161356, -0.009915319976933075, 0.02148761072506507, -0.14769340077570328, 0.19482534598721418, 0.18596349389532185, 0.014259644918087306, 0.1951987182114725, -0.5008872528772124, -0.16768267913015955, 0.010640726664639784, 0.15579328352274993, 0.15929861942475493, -0.10811408240503322, -0.28040883961048996, 0.030254405697412563, -0.08134664155041912, -0.13837123816792332, -0.054274594319532764, -0.031002434979503352, 0.04571798446263666, -0.30756071414604474, 0.009522349862946254, 0.04335964127500175, 0.08107432388615879, -0.061387515422239, -0.10089151038449597, 0.038343460016855686, 0.051786251438898034, 0.03519484677323789, -0.030193985316366183, 0.1770542855374515, -0.12757154439829968, -0.06968201383609664, 0.40738595751198853, -0.0936939087555264, -0.20635830945419995, 0.1390482273206792, -0.1847663669578844, 0.025271359905177218, 0.18339987776496194, 0.22434612526205566, 0.15840240262420566, -0.12787049640941073, 0.0440086162354529, 0.0060533293184231625, 0.2297306511776917, 0.14330516467012014, 0.04702205509370701, 0.21322216938785982, 0.2133550336125843, -0.012742310395520744, 0.16946127739819614, -0.11067078522914513, -0.03615800009786405, -0.22872446497168505, -0.08751650343677311, -0.13273398427179817, 0.01195744691755284, -0.07493480083212489, -0.18409218766133895, 0.3466544760475782, 0.061629044534074084, 0.19996755163777957, 0.01292687481636125, 0.31218400490329123, 0.13191756566591334, 0.051993862810460006, -0.0034953765077234216, 0.34024069734820817, 0.1690406652562546, 0.06365362994344623, -0.29873658595324465, 0.014729950979182666, 0.0008648934520103714] |
711.365 | Origin of neutron star magnetic fields | Possible origins of the magnetic fields of neutron stars include inheritance
from the main sequence progenitor and dynamo action at some stage of evolution
of progenitor. Inheritance is not sufficient to explain the fields of
magnetars. Energetic considerations point to differential rotation in the final
stages of core collapse process as the most likely source of field generation,
at least for magnetars. A runaway phase of exponential growth is needed to
achieve sufficient field amplification during relevant phase of core collapse;
it can probably be provided by a some form of magnetorotational instability.
Once formed in core collapse, the field is in danger of decaying again by
magnetic instabilities. The evolution of a magnetic field in a newly formed
neutron star is discussed, with emphasis on the existence of stable equilibrium
configurations as end products of this evolution, and the role of magnetic
helicity in their existence.
| astro-ph | possible origins of the magnetic fields of neutron stars include inheritance from the main sequence progenitor and dynamo action at some stage of evolution of progenitor inheritance is not sufficient to explain the fields of magnetars energetic considerations point to differential rotation in the final stages of core collapse process as the most likely source of field generation at least for magnetars a runaway phase of exponential growth is needed to achieve sufficient field amplification during relevant phase of core collapse it can probably be provided by a some form of magnetorotational instability once formed in core collapse the field is in danger of decaying again by magnetic instabilities the evolution of a magnetic field in a newly formed neutron star is discussed with emphasis on the existence of stable equilibrium configurations as end products of this evolution and the role of magnetic helicity in their existence | [['possible', 'origins', 'of', 'the', 'magnetic', 'fields', 'of', 'neutron', 'stars', 'include', 'inheritance', 'from', 'the', 'main', 'sequence', 'progenitor', 'and', 'dynamo', 'action', 'at', 'some', 'stage', 'of', 'evolution', 'of', 'progenitor', 'inheritance', 'is', 'not', 'sufficient', 'to', 'explain', 'the', 'fields', 'of', 'magnetars', 'energetic', 'considerations', 'point', 'to', 'differential', 'rotation', 'in', 'the', 'final', 'stages', 'of', 'core', 'collapse', 'process', 'as', 'the', 'most', 'likely', 'source', 'of', 'field', 'generation', 'at', 'least', 'for', 'magnetars', 'a', 'runaway', 'phase', 'of', 'exponential', 'growth', 'is', 'needed', 'to', 'achieve', 'sufficient', 'field', 'amplification', 'during', 'relevant', 'phase', 'of', 'core', 'collapse', 'it', 'can', 'probably', 'be', 'provided', 'by', 'a', 'some', 'form', 'of', 'magnetorotational', 'instability', 'once', 'formed', 'in', 'core', 'collapse', 'the', 'field', 'is', 'in', 'danger', 'of', 'decaying', 'again', 'by', 'magnetic', 'instabilities', 'the', 'evolution', 'of', 'a', 'magnetic', 'field', 'in', 'a', 'newly', 'formed', 'neutron', 'star', 'is', 'discussed', 'with', 'emphasis', 'on', 'the', 'existence', 'of', 'stable', 'equilibrium', 'configurations', 'as', 'end', 'products', 'of', 'this', 'evolution', 'and', 'the', 'role', 'of', 'magnetic', 'helicity', 'in', 'their', 'existence']] | [-0.16127234241183924, 0.20236874449060482, -0.07797191352076625, 0.11528519684966619, -0.0953259886540219, -0.03556863164377152, 0.020763350398038977, 0.31774578153846317, -0.2356586519630347, -0.3074346108007289, 0.11965985506849021, -0.18303293494672393, -0.07402944738096019, 0.17309777258711606, 0.005904334869717254, -0.033914250190224066, 0.08096456896279286, 0.05076616552347938, -0.02367095201676965, -0.24258036814712394, 0.4030696501081087, 0.07246011817751795, 0.20271060258454207, -0.014628969497193082, 0.04130517013313971, -0.09601231567802376, 0.0107373887020461, -0.018949745688587427, -0.11300335534955977, -0.00015696394098859256, 0.18305121059371096, 0.1570863007903606, 0.2565534619145653, -0.4757223961760803, -0.2132194400036416, 0.06552193572207791, 0.16673923569230908, 0.09886622910077374, -0.117585380652723, -0.21569931915752133, 0.10103906163324912, -0.16339455217005824, -0.18581221005594245, -0.010694458656215749, 0.04455802277155018, 0.0678894895649211, -0.26993092293629334, 0.08610275109396728, 0.10550881264775637, 0.055868014119894935, -0.1271756170285853, -0.06586428411735766, -0.0872783373825911, 0.07421473733649976, 0.10540047553854956, 0.07334414234410236, 0.16374221633522626, -0.18771976787362527, -0.07034266562055365, 0.37385674558427867, -0.043197077521610824, -0.06256555522899745, 0.19372157318530236, -0.2050610308560739, -0.1480262487600906, 0.1943038069725442, 0.15160381158839176, 0.11985636529747118, -0.14014020156777357, -0.008495206850403477, 0.058806394363062925, 0.10713102469528822, 0.08980275732053279, 0.02759734077892285, 0.3403310810032041, 0.21311251243867843, -0.005337440997970348, 0.13551949867962854, -0.09906246330189918, -0.09558800936139626, -0.3235152035216693, -0.13258242904886502, -0.13175482737838107, 0.09399326933798503, -0.06109150923407624, -0.17946872813310347, 0.3665276030822955, 0.12690988430582292, 0.14920096328406005, -0.07404527979187009, 0.25957540409056606, 0.08940935068127072, 0.09255600234075469, 0.0776336062756477, 0.29932138901781985, 0.24686989439556337, 0.12359319583886638, -0.2645448170852575, 0.10607549615622479, 0.04438231290685533] |
711.3651 | Lectures on zeta functions over finite fields | These are the notes from the summer school in G\"ottingen sponsored by NATO
Advanced Study Institute on Higher-Dimensional Geometry over Finite Fields that
took place in 2007. The aim was to give a short introduction on zeta functions
over finite fields, focusing on moment zeta functions and zeta functions of
affine toric hypersurfaces.
| math.AG math.NT | these are the notes from the summer school in gottingen sponsored by nato advanced study institute on higherdimensional geometry over finite fields that took place in 2007 the aim was to give a short introduction on zeta functions over finite fields focusing on moment zeta functions and zeta functions of affine toric hypersurfaces | [['these', 'are', 'the', 'notes', 'from', 'the', 'summer', 'school', 'in', 'gottingen', 'sponsored', 'by', 'nato', 'advanced', 'study', 'institute', 'on', 'higherdimensional', 'geometry', 'over', 'finite', 'fields', 'that', 'took', 'place', 'in', '2007', 'the', 'aim', 'was', 'to', 'give', 'a', 'short', 'introduction', 'on', 'zeta', 'functions', 'over', 'finite', 'fields', 'focusing', 'on', 'moment', 'zeta', 'functions', 'and', 'zeta', 'functions', 'of', 'affine', 'toric', 'hypersurfaces']] | [-0.1522839396295823, 0.11484864280330685, -0.1601429791453312, 0.11105120934124263, -0.10346573587717875, -0.08363389685960873, -0.032146069031199966, 0.29808037292282535, -0.17460993930416288, -0.2544234265520606, 0.14836224514270588, -0.23568092420134903, -0.1578872304339454, 0.26095416555005424, -0.1085105210999554, -0.03966147460500306, 0.03132386288148755, 0.026114252097201796, -0.08530573850444886, -0.41360817884780327, 0.3813611314333272, 0.0889568361893015, 0.27143500414940547, 0.10186976277849304, 0.1234845297964606, 0.10059658997639451, -0.07293633644838098, -0.05068926794349023, -0.1639633628080944, 0.10356909788723262, 0.3274605000778189, 0.08790340849180829, 0.2715581408965419, -0.459548572043203, -0.1640138767642092, 0.04730680918777889, -0.0035917054650918493, -0.009841976371013894, 0.009066281684252591, -0.2939880548993934, -0.007200321217752852, -0.1309619934280526, -0.09033641467784655, 0.0018915079252899817, 0.01579026367409893, 0.10303205880336463, -0.17155761777792336, 0.005252858382245561, 0.004681137113673788, 0.25731688938191477, -0.07968584731724201, -0.1816300729307223, 0.025014307059980225, 0.07368108161004647, 0.011072999815333565, 0.10309020398659105, 0.061143005793949344, -0.09258245376272584, -0.13912610422362978, 0.3276176557542299, -0.034790157806128263, -0.11144773303618971, 0.1633169859788328, -0.2181182301357248, -0.15203632960394728, 0.09549326101704589, 0.30081177994890035, 0.18037388050206057, -0.0849366294360667, 0.21865875632304452, -0.004658716202786034, 0.08258128730263913, 0.1549871456809342, -0.08870811615455544, 0.2586668850810109, 0.021773862353754492, -0.0007995584021972598, 0.14188799690806642, -0.02027391351074121, -0.1549560059705433, -0.3609829760631019, -0.16243863111045562, -0.11896685356239103, 0.12631410219320008, -0.00785494803089675, -0.16007139927373742, 0.4354633455393168, 0.03888745113926114, 0.11736181285232306, 0.04091073252822993, 0.18422724742372082, 0.06405943616310943, 0.055858647621034666, 0.01942551272200807, 0.12019880728374394, 0.16171421782324477, 0.15934173246617164, -0.06533310753469057, 0.0038111227880811916, 0.2568625339992204] |
711.3652 | Sequential Implementation of Global Quantum Operations | We study the possibility for a global unitary applied on an arbitrary number
of qubits to be decomposed in a sequential unitary procedure, where an
ancillary system is allowed to interact only once with each qubit. We prove
that sequential unitary decompositions are in general impossible for genuine
entangling operations, even with an infinite-dimensional ancilla, being the
controlled-NOT gate a paradigmatic example. Nevertheless, we find particular
nontrivial operations in quantum information that can be performed in a
sequential unitary manner, as is the case of quantum error correction and
quantum cloning.
| quant-ph | we study the possibility for a global unitary applied on an arbitrary number of qubits to be decomposed in a sequential unitary procedure where an ancillary system is allowed to interact only once with each qubit we prove that sequential unitary decompositions are in general impossible for genuine entangling operations even with an infinitedimensional ancilla being the controllednot gate a paradigmatic example nevertheless we find particular nontrivial operations in quantum information that can be performed in a sequential unitary manner as is the case of quantum error correction and quantum cloning | [['we', 'study', 'the', 'possibility', 'for', 'a', 'global', 'unitary', 'applied', 'on', 'an', 'arbitrary', 'number', 'of', 'qubits', 'to', 'be', 'decomposed', 'in', 'a', 'sequential', 'unitary', 'procedure', 'where', 'an', 'ancillary', 'system', 'is', 'allowed', 'to', 'interact', 'only', 'once', 'with', 'each', 'qubit', 'we', 'prove', 'that', 'sequential', 'unitary', 'decompositions', 'are', 'in', 'general', 'impossible', 'for', 'genuine', 'entangling', 'operations', 'even', 'with', 'an', 'infinitedimensional', 'ancilla', 'being', 'the', 'controllednot', 'gate', 'a', 'paradigmatic', 'example', 'nevertheless', 'we', 'find', 'particular', 'nontrivial', 'operations', 'in', 'quantum', 'information', 'that', 'can', 'be', 'performed', 'in', 'a', 'sequential', 'unitary', 'manner', 'as', 'is', 'the', 'case', 'of', 'quantum', 'error', 'correction', 'and', 'quantum', 'cloning']] | [-0.14842148154851173, 0.18771271461766126, -0.06498073318021393, 0.04080650307862395, 0.021927170685727845, -0.2722660861500017, 0.06807026288287898, 0.4134539695722716, -0.2585837895480486, -0.2485308848362375, 0.0908409024404546, -0.21095404794419204, -0.13205090958809296, 0.23609760043385264, -0.08964712982280897, 0.09378977309257447, 0.09222229920163914, 0.07581379046858094, -0.10117125904934665, -0.3066627806113971, 0.278430777691448, 0.014483462181198154, 0.23443780641920947, -0.05105684437676446, 0.10068418996940766, 0.06261473281339712, 0.030526727540635984, -0.025147828672613417, -0.03597982705824696, 0.04534891519982081, 0.29956274856250364, 0.10897975575925967, 0.2400968177960469, -0.47207385632670024, -0.13416706551132457, 0.15009117619247064, 0.12951533436509116, 0.21512965878451262, -0.021344833299875833, -0.3106453905757107, 0.02345515588032348, -0.2157472895540215, -0.059127153030463626, -0.1543676741625909, 0.011176349083473393, -0.10039073164615739, -0.30743446151193765, 0.02895650295233661, 0.09121932714645352, 0.04375833826610348, 0.025502735539083624, 0.03407596513004667, 0.03689986832214744, 0.15424147104476016, -0.09422759865768827, 0.016784683551772366, 0.1664575361007067, -0.1013345775644776, -0.18829374982473943, 0.3281242197870717, -0.026101580283676203, -0.23450922530021642, 0.1577964779757127, -0.0832129837433388, -0.1668164125889294, 0.02527088782453275, 0.13009685730295523, 0.11013522322525035, -0.14912722565765893, 0.12398071914519808, -0.05389966654519622, 0.2315279320560416, 0.028518720361107325, 0.08229687041155277, 0.1536600226331707, 0.07988275292042929, 0.14517396516524828, 0.2168459737095163, -0.013769060821697156, -0.14689019130246078, -0.36147730681881474, -0.2212884528153054, -0.20575378977969944, 0.13198916458494062, -0.051233440918872226, -0.14767960806065086, 0.3731974221274748, 0.10404352500528138, 0.1871176971695744, 0.008262493059161928, 0.30494712129399015, 0.14041466155002447, 0.0814459467137867, 0.0929468410642265, 0.19562911481729575, 0.1446539708259669, -0.05185642776560489, -0.21961517523012156, 0.021005276017464124, 0.038373694560685] |
711.3653 | Self-accelerating solutions of scalar-tensor gravity | Scalar-tensor gravity is the simplest and best understood modification of
general relativity, consisting of a real scalar field coupled directly to the
Ricci scalar curvature. Models of this type have self-accelerating solutions.
In an example inspired by string dilaton couplings, scalar-tensor gravity
coupled to ordinary matter exhibits a de Sitter type expansion, even in the
presence of a {\it negative} cosmological constant whose magnitude exceeds that
of the matter density. This unusual behavior does not require phantoms, ghosts
or other exotic sources. More generally, we show that any expansion history can
be interpreted as arising partly or entirely from scalar-tensor gravity. To
distinguish any quintessence or inflation model from its scalar-tensor
variants, we use the fact that scalar-tensor models imply deviations of the
post-Newtonian parameters of general relativity, and time variation of the
Newton's gravitational coupling $G$. We emphasize that next-generation probes
of modified GR and the time variation of $G$ are an essential complement to
dark energy probes based on luminosity-distance measurements.
| astro-ph hep-ph | scalartensor gravity is the simplest and best understood modification of general relativity consisting of a real scalar field coupled directly to the ricci scalar curvature models of this type have selfaccelerating solutions in an example inspired by string dilaton couplings scalartensor gravity coupled to ordinary matter exhibits a de sitter type expansion even in the presence of a it negative cosmological constant whose magnitude exceeds that of the matter density this unusual behavior does not require phantoms ghosts or other exotic sources more generally we show that any expansion history can be interpreted as arising partly or entirely from scalartensor gravity to distinguish any quintessence or inflation model from its scalartensor variants we use the fact that scalartensor models imply deviations of the postnewtonian parameters of general relativity and time variation of the newtons gravitational coupling g we emphasize that nextgeneration probes of modified gr and the time variation of g are an essential complement to dark energy probes based on luminositydistance measurements | [['scalartensor', 'gravity', 'is', 'the', 'simplest', 'and', 'best', 'understood', 'modification', 'of', 'general', 'relativity', 'consisting', 'of', 'a', 'real', 'scalar', 'field', 'coupled', 'directly', 'to', 'the', 'ricci', 'scalar', 'curvature', 'models', 'of', 'this', 'type', 'have', 'selfaccelerating', 'solutions', 'in', 'an', 'example', 'inspired', 'by', 'string', 'dilaton', 'couplings', 'scalartensor', 'gravity', 'coupled', 'to', 'ordinary', 'matter', 'exhibits', 'a', 'de', 'sitter', 'type', 'expansion', 'even', 'in', 'the', 'presence', 'of', 'a', 'it', 'negative', 'cosmological', 'constant', 'whose', 'magnitude', 'exceeds', 'that', 'of', 'the', 'matter', 'density', 'this', 'unusual', 'behavior', 'does', 'not', 'require', 'phantoms', 'ghosts', 'or', 'other', 'exotic', 'sources', 'more', 'generally', 'we', 'show', 'that', 'any', 'expansion', 'history', 'can', 'be', 'interpreted', 'as', 'arising', 'partly', 'or', 'entirely', 'from', 'scalartensor', 'gravity', 'to', 'distinguish', 'any', 'quintessence', 'or', 'inflation', 'model', 'from', 'its', 'scalartensor', 'variants', 'we', 'use', 'the', 'fact', 'that', 'scalartensor', 'models', 'imply', 'deviations', 'of', 'the', 'postnewtonian', 'parameters', 'of', 'general', 'relativity', 'and', 'time', 'variation', 'of', 'the', 'newtons', 'gravitational', 'coupling', 'g', 'we', 'emphasize', 'that', 'nextgeneration', 'probes', 'of', 'modified', 'gr', 'and', 'the', 'time', 'variation', 'of', 'g', 'are', 'an', 'essential', 'complement', 'to', 'dark', 'energy', 'probes', 'based', 'on', 'luminositydistance', 'measurements']] | [-0.17087569175948006, 0.13129360364922152, -0.12334561612217064, 0.12962061634924307, -0.18275887039747157, -0.18735617601478394, -0.0762571918119625, 0.2658271524666643, -0.2114364531913296, -0.3283662366240851, 0.03379816949178973, -0.252268718612706, -0.13672454289354932, 0.16007846323566147, -0.04557994926531165, -0.03641853972582398, -0.0013223352836319274, 0.06482654803666783, -0.06657074103446141, -0.23902471797495076, 0.3576833986008734, 0.05846881005981583, 0.19011788352598305, -0.025643388867846752, 0.08598683406513162, -0.052230966935917, 0.009693382470725686, 0.05833089820672101, -0.15169181894015327, 0.04834413641286683, 0.1875199483716207, 0.11518186615191492, 0.20286501914947871, -0.4186896061570458, -0.3012480588431293, 0.1622783117327679, 0.11300840941857707, 0.15846272182016652, -0.0693210159965678, -0.28065097625681595, 0.01601226419850361, -0.1726168008932581, -0.14995869144510215, -0.07202940164533861, -0.012814173888432239, -0.039642188180255146, -0.23206523333910417, 0.14205417066721096, 0.004529481765134203, -0.04659324181066152, -0.06309733527035458, -0.08818858492536688, -0.011693890089386262, 0.010291139153832216, 0.12893717679226532, 0.039301058991692187, 0.15265274540081256, -0.17363608317975343, -0.11383197742708576, 0.4323446941304883, -0.20349270612161402, -0.18725564960887417, 0.17024109601843074, -0.15456346830458842, -0.1519062136631299, 0.07628557285968146, 0.10774155512385704, 0.17336477616093368, -0.1263036040283534, 0.18156182287050915, 0.05166483497564207, 0.1912673934779924, 0.110351979406122, 0.04368144016430079, 0.3177192078501935, 0.08386184089742829, 0.008174260385460192, 0.04359153422714137, 0.008945292211851917, -0.08333326815884629, -0.3825812307843493, -0.1194044904971918, -0.15927390545103814, 0.09444815172548505, -0.1747016022293407, -0.20640623300197747, 0.3608652926078695, 0.11378189418579172, 0.09807221820946509, 0.061735502175666805, 0.2587544467940104, 0.06534524684456931, 0.07349679223547455, 0.04823524160082081, 0.34794052662270747, 0.14858237858090345, 0.08676242365993193, -0.2435951017877487, -0.017127629117807196, 0.0585748584729625] |
711.3654 | Asymptotic Expansion of the Homoclinic Splitting Matrix for the Rapidly,
Quasiperiodically, Forced Pendulum | We study a Hamiltonian describing a pendulum coupled with several
anisochronous oscillators, devising an asymptotic expansion for the splitting
(matrix) associated with a homoclinic point. This expansion consists of
contributions that are manifestly exponentially small in the limit of vanishing
hyperbolicity, by a shift-of-contour argument. Hence, we infer a similar upper
bound on the splitting itself.
| math-ph math.MP | we study a hamiltonian describing a pendulum coupled with several anisochronous oscillators devising an asymptotic expansion for the splitting matrix associated with a homoclinic point this expansion consists of contributions that are manifestly exponentially small in the limit of vanishing hyperbolicity by a shiftofcontour argument hence we infer a similar upper bound on the splitting itself | [['we', 'study', 'a', 'hamiltonian', 'describing', 'a', 'pendulum', 'coupled', 'with', 'several', 'anisochronous', 'oscillators', 'devising', 'an', 'asymptotic', 'expansion', 'for', 'the', 'splitting', 'matrix', 'associated', 'with', 'a', 'homoclinic', 'point', 'this', 'expansion', 'consists', 'of', 'contributions', 'that', 'are', 'manifestly', 'exponentially', 'small', 'in', 'the', 'limit', 'of', 'vanishing', 'hyperbolicity', 'by', 'a', 'shiftofcontour', 'argument', 'hence', 'we', 'infer', 'a', 'similar', 'upper', 'bound', 'on', 'the', 'splitting', 'itself']] | [-0.24289515026083047, 0.16733901193603576, -0.11907428126274185, 0.06289598588535393, -0.046640610322356224, -0.13252065751532263, 0.059956033942712976, 0.24354152274741367, -0.21026833098043096, -0.22508368741043588, 0.10554231929127127, -0.2825930985537442, -0.16717946820638396, 0.16753544458611444, -0.0179621790535748, -0.004955510642718185, 0.09585002009672197, 0.0627633994360539, -0.0799499646845189, -0.1398086882005869, 0.326643215035173, 0.009274210349063982, 0.23371832953257995, 0.014269893210042607, 0.12329699891534719, -0.03137805461036888, 0.02640744899822907, 0.0015121529386802153, -0.14249978267484534, 0.13901365638541227, 0.18682685256512327, 0.023201408228752288, 0.27349163017828354, -0.36677408191290767, -0.15203736001117663, 0.0806798141407357, 0.1830163101538677, 0.1525147264992649, -0.041878212440728514, -0.27026317029006103, 0.04744192339818586, -0.19105892476033082, -0.2145435486073521, -0.10104799673215233, 0.009665518660436977, 0.003650097849524834, -0.26223774924874305, 0.036291220978918404, 0.10823096155442975, 0.04295099712167443, -0.03934788664125583, -0.0445585013536567, 0.022237240540033038, 0.08469451837749643, 0.047518281113695014, 0.004477922571823001, 0.07561156121505933, -0.07935677081431178, -0.06615694260055369, 0.33601342141628265, -0.15285365273752674, -0.22485654266043142, 0.14631057517095045, -0.09802869991822676, -0.1621775606054474, 0.14192196862264114, 0.13632030172950843, 0.13968405366335487, -0.1552435554902662, 0.14356513489037753, -0.048165897771038794, 0.12191749115061777, 0.11060896032405171, -0.00944818097420714, 0.17855056993324647, 0.1320845609361475, 0.1463900074024092, 0.16878179122101178, -0.006237911971666935, -0.16684589416465975, -0.3412933785129677, -0.10610225765055722, -0.1886538127437234, 0.13533702167597683, -0.14218825484223832, -0.2297702295705676, 0.4047044289383021, 0.07520703402115032, 0.252230626497079, 0.08134135434573347, 0.28796309076926924, 0.18912145097485997, 0.016864201951433313, 0.07855209779332985, 0.2430463517592712, 0.19097789580595087, 0.019757281768728385, -0.2604057671967894, 0.018383411182598633, 0.16350080338730053] |
711.3655 | Coupling of plasmonic nanoparticles to their environments in the context
of van der Waals-Casimir interactions | We present experiments in which the interaction of a single gold nanoparticle
with glass substrates or with another gold particle can be tuned by in-situ
control of their separations using scanning probe technology. We record the
plasmon resonances of the coupled systems as a function of the polarization of
the incident field and the particle position. The distinct spectral changes of
the scattered light from the particle pair are in good agreement with the
outcome of finite difference time-domain (FDTD) calculations. We believe our
experimental technique holds promise for the investigation of the van der
Waals-Casimir type interactions between nanoscopic neutral bodies.
| quant-ph | we present experiments in which the interaction of a single gold nanoparticle with glass substrates or with another gold particle can be tuned by insitu control of their separations using scanning probe technology we record the plasmon resonances of the coupled systems as a function of the polarization of the incident field and the particle position the distinct spectral changes of the scattered light from the particle pair are in good agreement with the outcome of finite difference timedomain fdtd calculations we believe our experimental technique holds promise for the investigation of the van der waalscasimir type interactions between nanoscopic neutral bodies | [['we', 'present', 'experiments', 'in', 'which', 'the', 'interaction', 'of', 'a', 'single', 'gold', 'nanoparticle', 'with', 'glass', 'substrates', 'or', 'with', 'another', 'gold', 'particle', 'can', 'be', 'tuned', 'by', 'insitu', 'control', 'of', 'their', 'separations', 'using', 'scanning', 'probe', 'technology', 'we', 'record', 'the', 'plasmon', 'resonances', 'of', 'the', 'coupled', 'systems', 'as', 'a', 'function', 'of', 'the', 'polarization', 'of', 'the', 'incident', 'field', 'and', 'the', 'particle', 'position', 'the', 'distinct', 'spectral', 'changes', 'of', 'the', 'scattered', 'light', 'from', 'the', 'particle', 'pair', 'are', 'in', 'good', 'agreement', 'with', 'the', 'outcome', 'of', 'finite', 'difference', 'timedomain', 'fdtd', 'calculations', 'we', 'believe', 'our', 'experimental', 'technique', 'holds', 'promise', 'for', 'the', 'investigation', 'of', 'the', 'van', 'der', 'waalscasimir', 'type', 'interactions', 'between', 'nanoscopic', 'neutral', 'bodies']] | [-0.11117190111191104, 0.17183462833282628, -0.11412950102342567, 0.006662520759182014, -0.014970011755769305, -0.13741749799901656, 0.03450011688412404, 0.40274231156845597, -0.23563414732651675, -0.34141746365611314, -0.022950897365351955, -0.3326689906500499, -0.1149571399665529, 0.2274334641554685, 0.039555141081412636, 0.05841093569281785, 0.07602862083334841, -0.06070714248526914, -0.045335112787856194, -0.1640485940460006, 0.2943689452767299, 0.03704337946335584, 0.27229642536144194, 0.09642782208838445, 0.06979107647202909, 0.07675785604206954, 0.03315959432089299, 0.03778632081972033, -0.13455830753196543, 0.13671358051150867, 0.22546285061980598, -0.00289534174554123, 0.2356625935656256, -0.4600092006262903, -0.18816216867051871, 0.045096980106523805, 0.12680898588059433, 0.14335787991248986, -0.12105407684073582, -0.28360228485190403, 0.021670198045196196, -0.12359389318746752, -0.156735927784158, -0.005852421394129302, -0.03044958487860676, 0.10646471229162724, -0.2492503052698357, 0.06657176123995918, 0.020854201820660747, 0.07613114940563807, -0.06009035773219212, -0.07028942298618894, -0.01475694902268622, 0.12037763460972986, -0.006895820728923176, 0.014782393758080206, 0.19812841841257087, -0.10066128440552811, -0.11090904208557571, 0.38782651271378876, -0.1087804985570484, -0.1570617632795463, 0.2202399783292968, -0.19255836920210107, 0.004605986148532133, 0.1328431065970411, 0.1313167993052333, 0.13398436267001956, -0.13778970356774972, 0.05797746746889863, -0.0052439863291368185, 0.21418802578951798, 0.10764422656867799, 0.05082670923294762, 0.2649100859393822, 0.20806375028127255, -0.014350251550329667, 0.12219639885234738, -0.12745660056780075, -0.04032230042103751, -0.26554262113766564, -0.1776601153211303, -0.21593990848929273, 0.014054935384432183, -0.09516002677878087, -0.18308618868853527, 0.3870790278283404, 0.11961188703757145, 0.1534165059325888, -0.014090048796360326, 0.28346933895384197, 0.07545775769041012, 0.0809906308662475, -0.054502875005424604, 0.30796501906040835, 0.13220855600529297, 0.09503762126334157, -0.2762219669598648, 0.029748384996006887, -0.00865326544233397] |
711.3656 | Various analytic observations on combinations | E158 in the Enestrom index. Translation of the Latin original "Observationes
analyticae variae de combinationibus" (1741).
This paper introduces the problem of partitions, or partitio numerorum (the
partition of integers). In the first part of the paper Euler looks at infinite
symmetric functions. He defines three types of series: the first denoted with
capital Latin letters are sums of powers, e.g. $A=a+b+c+...$,
$B=a^2+b^2+c^3+...$, etc.; the second denoted with lower case Greek letters are
the elementary symmetric functions; the third denoted with Germanic letters are
sums of all combinations of $n$ symbols, e.g. $\mathfrak{A}=a+b+c+...$ is the
series for $n=1$, $\mathfrak{B}=a^2+ab+b^2+ac+bc+c^2+...$ is the series for
$n=2$, etc.
Euler proves a lot of relations between these series. He defines some
infinite products and proves some more relations between the products and these
series. Then in \S 17 he looks at the particular case where $a=n,b=n^2,c=n^3$
etc.
In \S 19 he says the Naud\'e has proposed studying the number of ways to
break an integer into a certain number of parts. Euler proves his recurrence
relations for the number of partitions into a $\mu$ parts with repetition and
without repetition. Finally at the end of the paper Euler states the pentagonal
number theorem, but says he hasn't been able to prove it rigorously.
| math.HO math.CO math.NT | e158 in the enestrom index translation of the latin original observationes analyticae variae de combinationibus 1741 this paper introduces the problem of partitions or partitio numerorum the partition of integers in the first part of the paper euler looks at infinite symmetric functions he defines three types of series the first denoted with capital latin letters are sums of powers eg aabc ba2b2c3 etc the second denoted with lower case greek letters are the elementary symmetric functions the third denoted with germanic letters are sums of all combinations of n symbols eg mathfrakaabc is the series for n1 mathfrakba2abb2acbcc2 is the series for n2 etc euler proves a lot of relations between these series he defines some infinite products and proves some more relations between the products and these series then in s 17 he looks at the particular case where anbn2cn3 etc in s 19 he says the naude has proposed studying the number of ways to break an integer into a certain number of parts euler proves his recurrence relations for the number of partitions into a mu parts with repetition and without repetition finally at the end of the paper euler states the pentagonal number theorem but says he hasnt been able to prove it rigorously | [['e158', 'in', 'the', 'enestrom', 'index', 'translation', 'of', 'the', 'latin', 'original', 'observationes', 'analyticae', 'variae', 'de', 'combinationibus', '1741', 'this', 'paper', 'introduces', 'the', 'problem', 'of', 'partitions', 'or', 'partitio', 'numerorum', 'the', 'partition', 'of', 'integers', 'in', 'the', 'first', 'part', 'of', 'the', 'paper', 'euler', 'looks', 'at', 'infinite', 'symmetric', 'functions', 'he', 'defines', 'three', 'types', 'of', 'series', 'the', 'first', 'denoted', 'with', 'capital', 'latin', 'letters', 'are', 'sums', 'of', 'powers', 'eg', 'aabc', 'ba2b2c3', 'etc', 'the', 'second', 'denoted', 'with', 'lower', 'case', 'greek', 'letters', 'are', 'the', 'elementary', 'symmetric', 'functions', 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711.3657 | Bayesian Shrinkage Variable Selection | Withdrawn due to extensions and submission as another paper.
| stat.ME | withdrawn due to extensions and submission as another paper | [['withdrawn', 'due', 'to', 'extensions', 'and', 'submission', 'as', 'another', 'paper']] | [-0.019296257032288447, -0.05680585424933168, -0.05468974448740482, -0.0703851744118664, -0.1988120853073067, -0.19037815576626194, 0.02065956304108517, 0.22345176173581016, -0.38131330700384247, -0.38260111668043667, 0.17983490725358328, -0.32997875288128853, -0.1333981230854988, 0.027263157897525363, -0.40722497552633286, 0.030959698061148327, 0.08729228625694911, -0.07010738489528497, -0.017083178067372903, -0.38102466732056606, 0.23220157333546215, 0.19030088351832497, 0.2312159449275997, 0.2992636900809076, -0.007889044471085072, -0.04559294465515348, -0.18195107429184848, -0.05752472703655561, -0.09196890145540237, 0.02332399578558074, 0.23601815735714304, -0.0003571357164118025, 0.4106907265053855, -0.3826357358031803, -0.06713164090696308, 0.1558305136859417, 0.25475774622625774, 0.1492469608783722, -0.07596992597811753, -0.38862939924001694, 0.19088799133896828, -0.4684646812578042, -0.19283924831284416, -0.014143940889173083, 0.11178629882892387, -0.1799986601496736, -0.12396277063008812, 0.01017016607026259, 0.22599155538611942, 0.12142487967179881, -0.025229864650302462, -0.15656123641464445, 0.05250924080610275, 0.13254289163483512, 0.3204088906447093, 0.15612570196390152, 0.04348729985455672, -0.09498623675770229, -0.178852670515577, 0.5278443081511391, 0.035336605169706874, -0.21209835385282835, 0.2102841544482443, 0.10775855349169837, -0.15684064229329428, 0.03302808768219418, 0.2240496410263909, 0.02765953690848417, -0.27321889634347624, 0.13448847291551325, 0.07293523682488336, 0.1834441725578573, 0.27939897651473683, 0.057946615335014134, 0.11453119955129093, 0.061016133055090904, 0.07064433996048239, 0.2534151799562905, 0.0250897030863497, -0.03744215450973974, -0.32179368452893364, -0.18753373291757372, -0.22142252201835314, 0.02182524361544185, 0.32461527636850307, -0.17366889874554342, 0.40140394038624233, 0.2778213450478183, 0.1847423291247752, -0.021235633227560256, 0.3251478456788593, -0.006696853398655851, 0.08074336209230953, -0.05296451848052028, 0.1275538272327847, 0.1604145537647936, 0.22749695802728334, -0.0005342293944623736, 0.22231114531556764, 0.18653570777840084] |
711.3658 | Sur l'ind\'ependance de l en cohomologie l-adique sur les corps locaux | Gabber deduced his theorem of independence of $l$ of intersection cohomology
from a general stability result over finite fields. In this article, we prove
an analogue of this general result over local fields. More precisely, we
introduce a notion of independence of $l$ for systems of complexes of $l$-adic
sheaves on schemes of finite type over a local field, equivariant under finite
groups. We establish its stability by Grothendieck's six operations and the
nearby cycle functor. Our method leads to a new proof of Gabber's theorem. We
also give a generalization to algebraic stacks.
-----
Gabber a d\'eduit son th\'eor\`eme d'ind\'ependance de $l$ de la cohomologie
l'intersection d'un r\'esultat g\'en\'eral de stabilit\'e sur les corps finis.
Dans cet article, nous d\'emontrons un analogue sur les corps locaux de ce
r\'esultat g\'en\'eral. Plus pr\'ecis\'ement, nous introduisons une notion
d'ind\'ependance de $l$ pour les syst\`emes de complexes de faisceaux
$l$-adiques sur les sch\'emas de type fini sur un corps local \'equivariants
sous des groupes finis et nous \'etablissons sa stabilit\'e par les six
op\'erations de Grothendieck et le foncteur des cycles proches. Notre m\'ethode
permet d'obtenir une nouvelle d\'emonstration du th\'eor\`eme de Gabber. Nous
donnons aussi une g\'en\'eralisation aux champs alg\'ebriques.
| math.AG | gabber deduced his theorem of independence of l of intersection cohomology from a general stability result over finite fields in this article we prove an analogue of this general result over local fields more precisely we introduce a notion of independence of l for systems of complexes of ladic sheaves on schemes of finite type over a local field equivariant under finite groups we establish its stability by grothendiecks six operations and the nearby cycle functor our method leads to a new proof of gabbers theorem we also give a generalization to algebraic stacks gabber a deduit son theoreme dindependance de l de la cohomologie lintersection dun resultat general de stabilite sur les corps finis dans cet article nous demontrons un analogue sur les corps locaux de ce resultat general plus precisement nous introduisons une notion dindependance de l pour les systemes de complexes de faisceaux ladiques sur les schemas de type fini sur un corps local equivariants sous des groupes finis et nous etablissons sa stabilite par les six operations de grothendieck et le foncteur des cycles proches notre methode permet dobtenir une nouvelle demonstration du theoreme de gabber nous donnons aussi une generalisation aux champs algebriques | [['gabber', 'deduced', 'his', 'theorem', 'of', 'independence', 'of', 'l', 'of', 'intersection', 'cohomology', 'from', 'a', 'general', 'stability', 'result', 'over', 'finite', 'fields', 'in', 'this', 'article', 'we', 'prove', 'an', 'analogue', 'of', 'this', 'general', 'result', 'over', 'local', 'fields', 'more', 'precisely', 'we', 'introduce', 'a', 'notion', 'of', 'independence', 'of', 'l', 'for', 'systems', 'of', 'complexes', 'of', 'ladic', 'sheaves', 'on', 'schemes', 'of', 'finite', 'type', 'over', 'a', 'local', 'field', 'equivariant', 'under', 'finite', 'groups', 'we', 'establish', 'its', 'stability', 'by', 'grothendiecks', 'six', 'operations', 'and', 'the', 'nearby', 'cycle', 'functor', 'our', 'method', 'leads', 'to', 'a', 'new', 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711.3659 | On the Axiomatics of Ann-Categories | In this paper, we have studied the axiomatics of {\it Ann-categories} and
{\it categorical rings.} These are the categories with distributivity
constraints whose axiomatics are similar with those of ring structures. The
main result we have achieved is proving the independence of the axiomatics of
Ann-category definition. And then we have proved that after adding an axiom
into the definition of categorical rings, we obtain the new axiomatics which is
equivalent to the one of Ann-categories.
| math.CT | in this paper we have studied the axiomatics of it anncategories and it categorical rings these are the categories with distributivity constraints whose axiomatics are similar with those of ring structures the main result we have achieved is proving the independence of the axiomatics of anncategory definition and then we have proved that after adding an axiom into the definition of categorical rings we obtain the new axiomatics which is equivalent to the one of anncategories | [['in', 'this', 'paper', 'we', 'have', 'studied', 'the', 'axiomatics', 'of', 'it', 'anncategories', 'and', 'it', 'categorical', 'rings', 'these', 'are', 'the', 'categories', 'with', 'distributivity', 'constraints', 'whose', 'axiomatics', 'are', 'similar', 'with', 'those', 'of', 'ring', 'structures', 'the', 'main', 'result', 'we', 'have', 'achieved', 'is', 'proving', 'the', 'independence', 'of', 'the', 'axiomatics', 'of', 'anncategory', 'definition', 'and', 'then', 'we', 'have', 'proved', 'that', 'after', 'adding', 'an', 'axiom', 'into', 'the', 'definition', 'of', 'categorical', 'rings', 'we', 'obtain', 'the', 'new', 'axiomatics', 'which', 'is', 'equivalent', 'to', 'the', 'one', 'of', 'anncategories']] | [-0.10722490408653884, 0.046151949302791186, -0.14928588804200685, 0.05508530786487666, -0.0659342976164465, -0.14091599349079556, -0.034428728431138506, 0.3570548980741909, -0.30979964117470543, -0.2690931928871003, 0.10195034813276786, -0.2342148936812392, -0.10979583553700267, 0.15024245391893937, -0.18396514784054538, -0.009447562183547569, 0.022825379855930805, 0.08023715288819451, -0.05193379629513641, -0.3331893921437624, 0.4081293891036981, 0.024941277249079002, 0.23547350656927415, 0.01649514252417966, 0.09751209220848978, -0.017017424302665812, -0.06500242481400308, 0.09670160365241923, -0.16951587274534655, 0.1939660624453896, 0.23430109651465164, 0.1596934333210811, 0.23915773144874133, -0.40344543358016954, -0.09441525555264793, 0.1056705240870973, 0.05380217591300607, 0.08303115136866261, 0.0229046594498581, -0.30214919059194234, 0.15396823113980262, -0.20092305473640168, -0.057878670405204356, -0.08414020960366256, 0.03949921856340217, 0.04165612025750115, -0.2072893218765354, -0.017244090093299747, 0.19916790253237673, 0.11520856061925817, -0.06424384847234346, -0.09656611496067949, -0.009842409256012425, 0.06699822871872273, 0.022008648528227287, -0.045944786973689734, 0.07824978898708268, -0.08871303832366768, -0.13195893138273326, 0.36618033727925076, -0.00017447482892557194, -0.17279775590194682, 0.1751030667832023, -0.1297676913366702, -0.19992913189344108, 0.08202787928626333, 0.01110028166716036, 0.11103472654021491, -0.1125285166903938, 0.11956173366419726, -0.15556210046634078, 0.07196143615108572, 0.11571954554682107, 0.11956413245245226, 0.16709200015879774, 0.12205531153411261, 0.04161818103909211, 0.18379494361579418, 0.004415080839719035, -0.06619811982627173, -0.3359670140045254, -0.18905588717461796, -0.09965759314792721, 0.0778377713194411, -0.03350533673035802, -0.15792298805287205, 0.3853787639864573, 0.16746786687719195, 0.1603978668756195, 0.09952296080269948, 0.24815209587349704, 0.15462440331956664, 0.12375699672970529, 0.02358053074720757, 0.20350812395152293, 0.21081930126896814, 0.01218542206027594, -0.06656613038534201, 0.046221981903440075, 0.12564538537500133] |
711.366 | Cyclical period changes in HT Cas: a clear difference between systems
above and below the period gap | We report the identification of cyclical changes in the orbital period of the
eclipsing cataclysmic variable HT Cas. We measured new white dwarf mid-eclipse
timings and combined with published measurements to construct an
observed-minus-calculated diagram covering 29 years of observations. The data
present cyclical variations that can be fitted by a linear plus sinusoidal
function with period 36 yr and semi-amplitude ~ 40 s. The statistical
significance of this period by an F-test is larger than 99.9 per cent. We
combine our results with those in the literature to revisit the issue of
cyclical period changes in cataclysmic variables and their interpretation in
terms of a solar-type magnetic activity cycle in the secondary star. A diagram
of fractional period change (Delta P/P) versus the angular velocity of the
active star (Omega) for cataclysmic variables, RS CVn, W UMa and Algols reveal
that close binaries with periods above the gap (secondaries with convective
envelopes) satisfy a relationship Delta P/P \propto Omega^{-0.7+/-0.1}.
Cataclysmic variables below the period gap (with fully convective secondaries)
deviate from this relationship by more than 3-sigma, with average fractional
period changes ~ 5 times smaller than those of the systems above the gap.
| astro-ph | we report the identification of cyclical changes in the orbital period of the eclipsing cataclysmic variable ht cas we measured new white dwarf mideclipse timings and combined with published measurements to construct an observedminuscalculated diagram covering 29 years of observations the data present cyclical variations that can be fitted by a linear plus sinusoidal function with period 36 yr and semiamplitude 40 s the statistical significance of this period by an ftest is larger than 999 per cent we combine our results with those in the literature to revisit the issue of cyclical period changes in cataclysmic variables and their interpretation in terms of a solartype magnetic activity cycle in the secondary star a diagram of fractional period change delta pp versus the angular velocity of the active star omega for cataclysmic variables rs cvn w uma and algols reveal that close binaries with periods above the gap secondaries with convective envelopes satisfy a relationship delta pp propto omega0701 cataclysmic variables below the period gap with fully convective secondaries deviate from this relationship by more than 3sigma with average fractional period changes 5 times smaller than those of the systems above the gap | [['we', 'report', 'the', 'identification', 'of', 'cyclical', 'changes', 'in', 'the', 'orbital', 'period', 'of', 'the', 'eclipsing', 'cataclysmic', 'variable', 'ht', 'cas', 'we', 'measured', 'new', 'white', 'dwarf', 'mideclipse', 'timings', 'and', 'combined', 'with', 'published', 'measurements', 'to', 'construct', 'an', 'observedminuscalculated', 'diagram', 'covering', '29', 'years', 'of', 'observations', 'the', 'data', 'present', 'cyclical', 'variations', 'that', 'can', 'be', 'fitted', 'by', 'a', 'linear', 'plus', 'sinusoidal', 'function', 'with', 'period', '36', 'yr', 'and', 'semiamplitude', '40', 's', 'the', 'statistical', 'significance', 'of', 'this', 'period', 'by', 'an', 'ftest', 'is', 'larger', 'than', '999', 'per', 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711.3661 | Is the Equivalence Principle violated by Generalized Uncertainty
Principles and Holography in a brane-world? | It has been recently debated whether a class of generalized uncertainty
principles that include gravitational sources of error are compatible with the
holographic principle in models with extra spatial dimensions. We had in fact
shown elsewhere that the holographic scaling is lost when more than four
space-time dimensions are present. However, we shall show here that the
validity of the holographic counting can be maintained also in models with
extra spatial dimensions, but at the intriguing price that the equivalence
principle for a point-like source be violated and the inertial mass differ from
the gravitational mass in a specific non-trivial way.
| hep-th | it has been recently debated whether a class of generalized uncertainty principles that include gravitational sources of error are compatible with the holographic principle in models with extra spatial dimensions we had in fact shown elsewhere that the holographic scaling is lost when more than four spacetime dimensions are present however we shall show here that the validity of the holographic counting can be maintained also in models with extra spatial dimensions but at the intriguing price that the equivalence principle for a pointlike source be violated and the inertial mass differ from the gravitational mass in a specific nontrivial way | [['it', 'has', 'been', 'recently', 'debated', 'whether', 'a', 'class', 'of', 'generalized', 'uncertainty', 'principles', 'that', 'include', 'gravitational', 'sources', 'of', 'error', 'are', 'compatible', 'with', 'the', 'holographic', 'principle', 'in', 'models', 'with', 'extra', 'spatial', 'dimensions', 'we', 'had', 'in', 'fact', 'shown', 'elsewhere', 'that', 'the', 'holographic', 'scaling', 'is', 'lost', 'when', 'more', 'than', 'four', 'spacetime', 'dimensions', 'are', 'present', 'however', 'we', 'shall', 'show', 'here', 'that', 'the', 'validity', 'of', 'the', 'holographic', 'counting', 'can', 'be', 'maintained', 'also', 'in', 'models', 'with', 'extra', 'spatial', 'dimensions', 'but', 'at', 'the', 'intriguing', 'price', 'that', 'the', 'equivalence', 'principle', 'for', 'a', 'pointlike', 'source', 'be', 'violated', 'and', 'the', 'inertial', 'mass', 'differ', 'from', 'the', 'gravitational', 'mass', 'in', 'a', 'specific', 'nontrivial', 'way']] | [-0.0855235613405354, 0.16309041531738078, -0.11327756199487808, 0.12023001358415562, -0.08290213917262189, -0.16420650670747503, -0.010747848385207282, 0.37193360872160974, -0.19312613866854422, -0.3103852205642379, 0.0969224515910454, -0.244714431118884, -0.1343543712732078, 0.18698727621669226, -0.07089812281347885, 0.04152158495052579, 0.01191306461829065, 0.06402348240118215, -0.08427495063088908, -0.25184847088069606, 0.3656545672934539, 0.05115475108510455, 0.2780213294283367, 0.06591038085925992, 0.11827577744601386, -0.06740551419316394, -0.009747439993102805, 0.09933687844152313, -0.1028103868878737, 0.10099140793029772, 0.20410325670694657, 0.09768799312947558, 0.20767783116789, -0.39723919808753944, -0.293758035480681, 0.11287755427402582, 0.146430138682965, 0.14186703277023344, -0.055545305043238784, -0.2521275434606146, 0.08553824669653827, -0.18584590802766787, -0.1594702299029594, -0.0567264361906391, 0.042600735690038985, -0.03496810833181227, -0.22001592950701787, 0.14540230926088205, 0.05363198661586583, 0.013971037872246291, -0.025405910328297997, -0.06810328276772605, -0.023166916618990428, 0.08347438358255699, 0.1033015124900912, 0.0056472145906179255, 0.07035320332402935, -0.11430407211064629, -0.12871863408069503, 0.3864673803016396, -0.02650521529938145, -0.23013518669522634, 0.19870855871329804, -0.17346654356558724, -0.1996297548193079, 0.08863496529353358, 0.11766680674904054, 0.09182352304347965, -0.17726927275131432, 0.10664772055524466, -0.062477686433213775, 0.19688170713068234, 0.11428176761042363, 0.098368131048461, 0.25867167757455223, 0.13172092627259063, 0.03082022016019662, 0.1202088871781742, -0.06216352126828515, -0.08525867512136108, -0.34767613305461287, -0.1424437846647262, -0.1924544869608587, 0.07191908034947839, -0.1067022026312194, -0.06899330973893746, 0.3175951753291163, 0.18949916758957794, 0.12906745425194943, 0.050461842503288, 0.24761418550100067, 0.12250069921633394, 0.10726331804630042, 0.0964266980979776, 0.32040049620710387, 0.06399182746841545, 0.08866030729772283, -0.16681916185189039, 0.022878854208174024, 0.06585228789740676] |
711.3662 | Experimental Determination of Thermal Entanglement in Spin Clusters
using Magnetic Susceptibility Measurements | The present work reports an experimental observation of thermal entanglement
in a clusterized spin chain formed in the compound Na$_2$Cu$_5$Si$_4$O$_{14}$.
The presence of entanglement was investigated through two measured quantities,
an Entanglement Witness and the Entanglement of Formation, both derived from
the magnetic susceptibility. It was found that pairwise entanglement exists
below $ \sim 200$ K. Tripartite entanglement was also observed below $ \sim
240$ K. A theoretical study of entanglement evolution as a function of applied
field and temperature is also presented.
| quant-ph | the present work reports an experimental observation of thermal entanglement in a clusterized spin chain formed in the compound na_2cu_5si_4o_14 the presence of entanglement was investigated through two measured quantities an entanglement witness and the entanglement of formation both derived from the magnetic susceptibility it was found that pairwise entanglement exists below sim 200 k tripartite entanglement was also observed below sim 240 k a theoretical study of entanglement evolution as a function of applied field and temperature is also presented | [['the', 'present', 'work', 'reports', 'an', 'experimental', 'observation', 'of', 'thermal', 'entanglement', 'in', 'a', 'clusterized', 'spin', 'chain', 'formed', 'in', 'the', 'compound', 'na_2cu_5si_4o_14', 'the', 'presence', 'of', 'entanglement', 'was', 'investigated', 'through', 'two', 'measured', 'quantities', 'an', 'entanglement', 'witness', 'and', 'the', 'entanglement', 'of', 'formation', 'both', 'derived', 'from', 'the', 'magnetic', 'susceptibility', 'it', 'was', 'found', 'that', 'pairwise', 'entanglement', 'exists', 'below', 'sim', '200', 'k', 'tripartite', 'entanglement', 'was', 'also', 'observed', 'below', 'sim', '240', 'k', 'a', 'theoretical', 'study', 'of', 'entanglement', 'evolution', 'as', 'a', 'function', 'of', 'applied', 'field', 'and', 'temperature', 'is', 'also', 'presented']] | [-0.16826774827204644, 0.24308813606949115, -0.07419895735802129, 0.03539265719737159, 0.05341354643460363, -0.1322182714997325, 0.024084626001422294, 0.350636849924922, -0.2123126512102317, -0.3036029032431543, 0.03504363876709249, -0.32557358825579286, -0.07428287260991055, 0.18105855816975236, 0.07456093755317852, 0.04950352788437158, 0.005386134822038003, 0.09867710520047694, -0.07496634446142707, -0.2186447528656572, 0.2718707897918648, 0.07835901514627039, 0.30049461013404655, 0.1638485975388903, 0.07372367215575651, -0.026311161869671196, 0.04924703339347616, 0.03372744217922445, -0.19877066040980934, 0.013537496782373638, 0.23894312725169584, 0.09851136709767161, 0.20463922339258717, -0.34302463138010353, -0.22279265455435962, 0.09138039697427303, 0.12565115900943055, 0.11013633736874909, -0.057943914656061676, -0.2830326830269769, 0.006634923839010298, -0.18646737453527748, -0.12057964567793533, -0.06439811322488823, 0.031068262697954197, -0.08902975545206573, -0.2401894803973846, 0.16371280381790712, 0.060253441939130424, 0.13528103432618083, -0.050219533644849434, -0.06306246193416883, -0.06192771613714285, 0.07022399592096917, 0.007382706619682722, 0.057039050830644554, 0.1652850452810526, -0.07178005418973044, -0.1373205736046657, 0.3018479245249182, -0.09017936543095857, -0.044941666931845245, 0.15974916727573146, -0.17274797259597108, -0.09375615429198661, 0.12214588072383777, 0.08131962503539399, 0.12268910316051915, -0.18293228870024905, 0.018540950688475277, -0.05481921560131013, 0.21866729970206505, 0.05339184707263485, 0.08750203920644709, 0.21592503088759257, 0.11034521442925324, 0.0039074541884474455, 0.26816316689146336, -0.10929473550058902, -0.09327587243169547, -0.2811478583142161, -0.17002468390055583, -0.2811087796813808, 0.08523144619248342, -0.08918254332347715, -0.09209932649391703, 0.3821632964652963, 0.1336044108651663, 0.20613473532139323, 0.006747291699866764, 0.22690139062324305, 0.09588039761729306, 0.0646850708522834, 0.07360248978366143, 0.2749588327365927, 0.22255388659250458, 0.10821067968790885, -0.29362756891932806, 0.08385920155560597, -0.03158378426451236] |
711.3663 | The one-way function based on computational uncertainty principle | This paper presents how to make use of the advantage of round-off error
effect in some research areas. The float-point operation complies with the
reproduce theorem without the external random perturbation. The computation
uncertainty principle and the high nonlinear of chaotic system guarantee the
numerical error is random and departure from the analytical result. Combining
these two properties we can produce unilateral one-way function and provide a
case of utilizing this function to construct encryption algorithm. The
multiple-precision (MP) library is used to analyze nonlinear dynamics systems
and achieve the code. As an example, we provide a scheme of encrypting a
plaintext by employing the one-way function with Lorenz system. Since the
numerical solution used in this scheme is beyond the maximum effective
computation time (MECT) and it cannot satisfy the requirements of return-map
analysis and phase space reconstruction, it can block some existing attacks.
| cs.CR | this paper presents how to make use of the advantage of roundoff error effect in some research areas the floatpoint operation complies with the reproduce theorem without the external random perturbation the computation uncertainty principle and the high nonlinear of chaotic system guarantee the numerical error is random and departure from the analytical result combining these two properties we can produce unilateral oneway function and provide a case of utilizing this function to construct encryption algorithm the multipleprecision mp library is used to analyze nonlinear dynamics systems and achieve the code as an example we provide a scheme of encrypting a plaintext by employing the oneway function with lorenz system since the numerical solution used in this scheme is beyond the maximum effective computation time mect and it cannot satisfy the requirements of returnmap analysis and phase space reconstruction it can block some existing attacks | [['this', 'paper', 'presents', 'how', 'to', 'make', 'use', 'of', 'the', 'advantage', 'of', 'roundoff', 'error', 'effect', 'in', 'some', 'research', 'areas', 'the', 'floatpoint', 'operation', 'complies', 'with', 'the', 'reproduce', 'theorem', 'without', 'the', 'external', 'random', 'perturbation', 'the', 'computation', 'uncertainty', 'principle', 'and', 'the', 'high', 'nonlinear', 'of', 'chaotic', 'system', 'guarantee', 'the', 'numerical', 'error', 'is', 'random', 'and', 'departure', 'from', 'the', 'analytical', 'result', 'combining', 'these', 'two', 'properties', 'we', 'can', 'produce', 'unilateral', 'oneway', 'function', 'and', 'provide', 'a', 'case', 'of', 'utilizing', 'this', 'function', 'to', 'construct', 'encryption', 'algorithm', 'the', 'multipleprecision', 'mp', 'library', 'is', 'used', 'to', 'analyze', 'nonlinear', 'dynamics', 'systems', 'and', 'achieve', 'the', 'code', 'as', 'an', 'example', 'we', 'provide', 'a', 'scheme', 'of', 'encrypting', 'a', 'plaintext', 'by', 'employing', 'the', 'oneway', 'function', 'with', 'lorenz', 'system', 'since', 'the', 'numerical', 'solution', 'used', 'in', 'this', 'scheme', 'is', 'beyond', 'the', 'maximum', 'effective', 'computation', 'time', 'mect', 'and', 'it', 'can', 'not', 'satisfy', 'the', 'requirements', 'of', 'returnmap', 'analysis', 'and', 'phase', 'space', 'reconstruction', 'it', 'can', 'block', 'some', 'existing', 'attacks']] | [-0.1414545087721841, 0.02238487173283296, -0.12180234857288928, 0.06846869187108402, -0.060145772641910046, -0.17136095659165032, 0.06886911635078362, 0.3415109355966079, -0.2925016347640033, -0.32087785058237356, 0.14544073798179882, -0.24372265733264645, -0.18406906269539894, 0.22556248181338967, -0.09247923485637674, 0.13119391412634787, 0.0602414197256339, -0.002631705504408556, -0.07376253111609098, -0.2401642232410738, 0.2744065532460809, 0.06964448461437533, 0.2799982585012913, 0.018972427918222443, 0.09705102052539587, 0.02372447944342576, -0.02420796165563937, -0.012071793918810978, -0.10199770273335663, 0.09783429577625517, 0.2264960477241026, 0.16697499805354865, 0.2819001780244811, -0.421253597633592, -0.20832075711725087, 0.09771155337401634, 0.12063442757915191, 0.16409328965919798, -0.0507645332511386, -0.2491774344094226, 0.1097757751957096, -0.19823262092882188, -0.13345377243862583, -0.10765857167285064, -0.05100145788606385, 0.03011464197188616, -0.2891755237565215, 0.03667842545606806, 0.055442266766752665, 0.04412486325178681, 0.002977413536402686, -0.04883621039093825, 0.020121396657336376, 0.14523536740834342, 0.019109883992370732, 0.03495597109872976, 0.11925108789723238, -0.06911213730526125, -0.10888429314925753, 0.3924780927245216, -0.058407091872830844, -0.24230902283853883, 0.14258729365397374, -0.08180366387141162, -0.09325742780969574, 0.1077202824570624, 0.1769890873596586, 0.06868341694232719, -0.12695213875829658, 0.07185020923116726, -0.010630813623168344, 0.1904926731925586, 0.03445841098396943, 0.0671854843738778, 0.12555662147572327, 0.15071068097965729, 0.07987738920632621, 0.1573692831523909, -0.056567060049013074, -0.09659760588266213, -0.3062330732700126, -0.14699996272423144, -0.18177027749700536, 0.008329126849903019, -0.07909630374473134, -0.15761861649245537, 0.37673600269014873, 0.18996070851411284, 0.13679414864886424, 0.09805606397286315, 0.35397847726427273, 0.13963108644419317, 0.045893814355327654, 0.10583680743865412, 0.2272657352102246, 0.11433581490679805, 0.11204454561631227, -0.20729963764516188, 0.08788399474117263, 0.08482398230197101] |
711.3664 | Reconstruction for Colorings on Trees | Consider $k$-colorings of the complete tree of depth $\ell$ and branching
factor $\Delta$. If we fix the coloring of the leaves, as $\ell$ tends to
$\infty$, for what range of $k$ is the root uniformly distributed over all $k$
colors? This corresponds to the threshold for uniqueness of the infinite-volume
Gibbs measure. It is straightforward to show the existence of colorings of the
leaves which ``freeze'' the entire tree when $k\le\Delta+1$. For
$k\geq\Delta+2$, Jonasson proved the root is ``unbiased'' for any fixed
coloring of the leaves and thus the Gibbs measure is unique. What happens for a
{\em typical} coloring of the leaves? When the leaves have a non-vanishing
influence on the root in expectation, over random colorings of the leaves,
reconstruction is said to hold. Non-reconstruction is equivalent to extremality
of the free-boundary Gibbs measure. When $k<\Delta/\ln{\Delta}$, it is
straightforward to show that reconstruction is possible and hence the measure
is not extremal.
We prove that for $C>1$ and $k =C\Delta/\ln{\Delta}$, that the Gibbs measure
is extremal in a strong sense: with high probability over the colorings of the
leaves the influence at the root decays exponentially fast with the depth of
the tree. Closely related results were also proven recently by Sly. The above
strong form of extremality implies that a local Markov chain that updates
constant sized blocks has inverse linear entropy constant and hence $O(N\log
N)$ mixing time where $N$ is the number of vertices of the tree.
| math.PR math-ph math.CO math.MP | consider kcolorings of the complete tree of depth ell and branching factor delta if we fix the coloring of the leaves as ell tends to infty for what range of k is the root uniformly distributed over all k colors this corresponds to the threshold for uniqueness of the infinitevolume gibbs measure it is straightforward to show the existence of colorings of the leaves which freeze the entire tree when kledelta1 for kgeqdelta2 jonasson proved the root is unbiased for any fixed coloring of the leaves and thus the gibbs measure is unique what happens for a em typical coloring of the leaves when the leaves have a nonvanishing influence on the root in expectation over random colorings of the leaves reconstruction is said to hold nonreconstruction is equivalent to extremality of the freeboundary gibbs measure when kdeltalndelta it is straightforward to show that reconstruction is possible and hence the measure is not extremal we prove that for c1 and k cdeltalndelta that the gibbs measure is extremal in a strong sense with high probability over the colorings of the leaves the influence at the root decays exponentially fast with the depth of the tree closely related results were also proven recently by sly the above strong form of extremality implies that a local markov chain that updates constant sized blocks has inverse linear entropy constant and hence onlog n mixing time where n is the number of vertices of the tree | [['consider', 'kcolorings', 'of', 'the', 'complete', 'tree', 'of', 'depth', 'ell', 'and', 'branching', 'factor', 'delta', 'if', 'we', 'fix', 'the', 'coloring', 'of', 'the', 'leaves', 'as', 'ell', 'tends', 'to', 'infty', 'for', 'what', 'range', 'of', 'k', 'is', 'the', 'root', 'uniformly', 'distributed', 'over', 'all', 'k', 'colors', 'this', 'corresponds', 'to', 'the', 'threshold', 'for', 'uniqueness', 'of', 'the', 'infinitevolume', 'gibbs', 'measure', 'it', 'is', 'straightforward', 'to', 'show', 'the', 'existence', 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711.3665 | Geometric objects in an approach to quantum geometry | Ideas from deformation quantization applied to algebras with one generator
lead to methods to treat a nonlinear flat connection. It provides us elements
of algebras to be parallel sections. The moduli space of the parallel sections
is studied as an example of bundle-like objects with discordant (sogo)
transition functions, which suggests us to treat movable branching
singularities.
| math.QA math.DG | ideas from deformation quantization applied to algebras with one generator lead to methods to treat a nonlinear flat connection it provides us elements of algebras to be parallel sections the moduli space of the parallel sections is studied as an example of bundlelike objects with discordant sogo transition functions which suggests us to treat movable branching singularities | [['ideas', 'from', 'deformation', 'quantization', 'applied', 'to', 'algebras', 'with', 'one', 'generator', 'lead', 'to', 'methods', 'to', 'treat', 'a', 'nonlinear', 'flat', 'connection', 'it', 'provides', 'us', 'elements', 'of', 'algebras', 'to', 'be', 'parallel', 'sections', 'the', 'moduli', 'space', 'of', 'the', 'parallel', 'sections', 'is', 'studied', 'as', 'an', 'example', 'of', 'bundlelike', 'objects', 'with', 'discordant', 'sogo', 'transition', 'functions', 'which', 'suggests', 'us', 'to', 'treat', 'movable', 'branching', 'singularities']] | [-0.07748541734773633, 0.066427230539072, -0.12553463730830372, 0.09188861092511695, -0.1525523979216814, -0.191237667747038, -0.031130588049755284, 0.37829846705783876, -0.30431683243889557, -0.23027384276869461, 0.04081657615473919, -0.24676174328972897, -0.12117137844886697, 0.19323977243089885, -0.10874567300146609, 0.0033979520789886777, 0.05046909639056314, 0.009947414248528188, -0.08780688518380518, -0.2532520118055114, 0.36006584783133705, 0.036542853054574186, 0.2504021830268596, -0.0033509678436083753, 0.12410419592797234, 0.035913687236116904, -0.017267945867946798, 0.0163422806689867, -0.1465323928645567, 0.13267958062913335, 0.3312090573865071, 0.05599387176334858, 0.16490128023647949, -0.3916207143808143, -0.13678968511521816, 0.11769126897694118, 0.10502165359477594, 0.11792325309126458, 0.041321700487874057, -0.27065788291133286, 0.037250963742272894, -0.15551107662746258, -0.19153931083386405, -0.09756787055939958, 0.02180435094296148, -0.0181239452049659, -0.2489788320176957, -0.014675631122500227, 0.02331033849010342, 0.026807615974623906, -0.066605598388011, -0.06507242876186706, -0.028874792052400216, 0.1145862028117112, 0.03607076992640239, 0.04602959109960418, 0.1498880084407957, -0.05681075902426975, -0.17744754350401068, 0.37658147293290023, -0.005914825161820964, -0.2548028180343017, 0.18647183289980157, -0.11491550201256025, -0.12189450272228242, 0.1707848170608805, 0.16238782309779995, 0.14337312498767124, -0.06956255648350507, 0.09767657193240889, 0.04150733690741554, 0.07837243389599678, 0.09541926913682305, -0.004768922287774713, 0.16471404703170583, 0.11874473527923488, 0.06201481799546041, 0.1372758492545568, -0.00552011233868829, -0.1289176679984258, -0.3207625163098176, -0.1933838845345012, -0.05357864205807186, 0.11693543220232976, -0.054074996151030064, -0.2479056396537967, 0.3540382044177437, 0.10342321675597575, 0.2973245717258307, 0.017989044226787723, 0.22604868140300377, 0.08318129517423936, 0.16064468847195568, 0.0033470496388250275, 0.2070364187463399, 0.2859741703754193, 0.05538464978075864, -0.13235018081685299, -0.021389638653776626, 0.12553402399154087] |
711.3666 | Stability of Transonic Shock-Fronts in Three-Dimensional Conical Steady
Potential Flow past a Perturbed Cone | For an upstream supersonic flow past a straight-sided cone in $\R^3$ whose
vertex angle is less than the critical angle, a transonic (supersonic-subsonic)
shock-front attached to the cone vertex can be formed in the flow. In this
paper we analyze the stability of transonic shock-fronts in three-dimensional
steady potential flow past a perturbed cone. We establish that the self-similar
transonic shock-front solution is conditionally stable in structure with
respect to the conical perturbation of the cone boundary and the upstream flow
in appropriate function spaces. In particular, it is proved that the slope of
the shock-front tends asymptotically to the slope of the unperturbed
self-similar shock-front downstream at infinity.
| math.AP math-ph math.MP | for an upstream supersonic flow past a straightsided cone in r3 whose vertex angle is less than the critical angle a transonic supersonicsubsonic shockfront attached to the cone vertex can be formed in the flow in this paper we analyze the stability of transonic shockfronts in threedimensional steady potential flow past a perturbed cone we establish that the selfsimilar transonic shockfront solution is conditionally stable in structure with respect to the conical perturbation of the cone boundary and the upstream flow in appropriate function spaces in particular it is proved that the slope of the shockfront tends asymptotically to the slope of the unperturbed selfsimilar shockfront downstream at infinity | [['for', 'an', 'upstream', 'supersonic', 'flow', 'past', 'a', 'straightsided', 'cone', 'in', 'r3', 'whose', 'vertex', 'angle', 'is', 'less', 'than', 'the', 'critical', 'angle', 'a', 'transonic', 'supersonicsubsonic', 'shockfront', 'attached', 'to', 'the', 'cone', 'vertex', 'can', 'be', 'formed', 'in', 'the', 'flow', 'in', 'this', 'paper', 'we', 'analyze', 'the', 'stability', 'of', 'transonic', 'shockfronts', 'in', 'threedimensional', 'steady', 'potential', 'flow', 'past', 'a', 'perturbed', 'cone', 'we', 'establish', 'that', 'the', 'selfsimilar', 'transonic', 'shockfront', 'solution', 'is', 'conditionally', 'stable', 'in', 'structure', 'with', 'respect', 'to', 'the', 'conical', 'perturbation', 'of', 'the', 'cone', 'boundary', 'and', 'the', 'upstream', 'flow', 'in', 'appropriate', 'function', 'spaces', 'in', 'particular', 'it', 'is', 'proved', 'that', 'the', 'slope', 'of', 'the', 'shockfront', 'tends', 'asymptotically', 'to', 'the', 'slope', 'of', 'the', 'unperturbed', 'selfsimilar', 'shockfront', 'downstream', 'at', 'infinity']] | [-0.178531505546912, 0.11557973162995984, -0.13081805849085665, 0.024580037732246436, -0.06660892484985569, -0.12111016059794498, -0.03249640340477021, 0.3728556941366858, -0.33065609261393547, -0.15931557268777397, 0.11695837665293193, -0.28477991420637677, -0.06789611098873946, 0.153541536035913, -0.05542505601489985, 0.09471421317990732, 0.04570494277437252, 0.04581401472549058, -0.08307108109443949, -0.15855169551947187, 0.38018444105465377, 0.041164415733267866, 0.24562694941198937, 0.03003347273139904, 0.0911317895434978, -0.07770783995295426, 0.04637587942286498, 0.07916630280454194, -0.1898072345870282, 0.030312842249663338, 0.182879824001618, 0.039531856680426886, 0.2771811301289644, -0.4260103121848294, -0.23073707252775352, 0.07480492885224521, 0.18979647502096164, 0.04558781935419473, -0.03148227195790106, -0.23065815648684898, 0.10662198745369635, -0.12927770849179337, -0.28416065110704275, 0.04355807386821619, 0.035826355817132734, 0.03210330789011938, -0.2407384539649313, 0.07991592645541662, 0.06379846523136452, 0.004132624086061561, -0.06396580080467242, -0.01078508445924079, -0.1275196149988376, 0.07712120825804218, 0.11159313286663275, 0.10017879808287102, 0.12712572629701485, -0.16846555364275076, -0.009872822994280054, 0.3476159875108688, -0.06206873971475741, -0.231684695981029, 0.1788584930667033, -0.236728221484184, -0.03850043982405354, 0.2093029396298031, 0.18337396484006335, 0.16259044815820675, -0.06451876981548223, 0.06166190811792923, -0.11157391770393588, 0.09834046840357284, 0.1524054378754011, -0.08624366532010888, 0.19158980457319152, 0.11249344400992548, 0.1802570089413267, 0.15892090164534575, -0.08949835395173135, -0.11114428161494692, -0.3440755582931969, -0.14806642537695114, -0.114644491238761, 0.07475847172274909, -0.14134994136569462, -0.2027785953272272, 0.3727871567459294, 0.08407179635725226, 0.1966394250177675, 0.019171716067595063, 0.27932021201208784, 0.12524654419555897, -0.008087031008606707, 0.19897498509898368, 0.29751358780992665, 0.14277067481264197, 0.10928621023237982, -0.20883912301225657, 0.07280966614295419, 0.12589595462971678] |
711.3667 | Optical line profiles of the Helix planetary nebula (NGC 7293) to large
radii | New, very long (25'), cuts of spatially resolved profiles of the Halpha and
[N II] optical emission lines have been obtained over the face of the Helix
planetary nebula, NGC 7293. These directions were chosen to supplement previous
similar, though shorter, cuts as well as crossing interesting phenomena in this
nebular envelope. In particular one new cut crosses the extremes of the
proposed CO J=2-1 emitting outer "torus" shown by Huggins and his co-workers to
be nearly orthogonal to its inner counterpart. The second new cut crosses the
extensive outer filamentary arcs on either side of the bright nebular core. It
is shown that NGC 7293 is composed of multiple bipolar outflows along different
axes. Hubble-type outflows over a dynamical timescale of 11,000 years are shown
to be occurring for all the phenomena from the smallest He II emitting core out
to the largest outer filamentary structure. All must then have been ejected
over a short timescale but with a range of ejection velocities
| astro-ph | new very long 25 cuts of spatially resolved profiles of the halpha and n ii optical emission lines have been obtained over the face of the helix planetary nebula ngc 7293 these directions were chosen to supplement previous similar though shorter cuts as well as crossing interesting phenomena in this nebular envelope in particular one new cut crosses the extremes of the proposed co j21 emitting outer torus shown by huggins and his coworkers to be nearly orthogonal to its inner counterpart the second new cut crosses the extensive outer filamentary arcs on either side of the bright nebular core it is shown that ngc 7293 is composed of multiple bipolar outflows along different axes hubbletype outflows over a dynamical timescale of 11000 years are shown to be occurring for all the phenomena from the smallest he ii emitting core out to the largest outer filamentary structure all must then have been ejected over a short timescale but with a range of ejection velocities | [['new', 'very', 'long', '25', 'cuts', 'of', 'spatially', 'resolved', 'profiles', 'of', 'the', 'halpha', 'and', 'n', 'ii', 'optical', 'emission', 'lines', 'have', 'been', 'obtained', 'over', 'the', 'face', 'of', 'the', 'helix', 'planetary', 'nebula', 'ngc', '7293', 'these', 'directions', 'were', 'chosen', 'to', 'supplement', 'previous', 'similar', 'though', 'shorter', 'cuts', 'as', 'well', 'as', 'crossing', 'interesting', 'phenomena', 'in', 'this', 'nebular', 'envelope', 'in', 'particular', 'one', 'new', 'cut', 'crosses', 'the', 'extremes', 'of', 'the', 'proposed', 'co', 'j21', 'emitting', 'outer', 'torus', 'shown', 'by', 'huggins', 'and', 'his', 'coworkers', 'to', 'be', 'nearly', 'orthogonal', 'to', 'its', 'inner', 'counterpart', 'the', 'second', 'new', 'cut', 'crosses', 'the', 'extensive', 'outer', 'filamentary', 'arcs', 'on', 'either', 'side', 'of', 'the', 'bright', 'nebular', 'core', 'it', 'is', 'shown', 'that', 'ngc', '7293', 'is', 'composed', 'of', 'multiple', 'bipolar', 'outflows', 'along', 'different', 'axes', 'hubbletype', 'outflows', 'over', 'a', 'dynamical', 'timescale', 'of', '11000', 'years', 'are', 'shown', 'to', 'be', 'occurring', 'for', 'all', 'the', 'phenomena', 'from', 'the', 'smallest', 'he', 'ii', 'emitting', 'core', 'out', 'to', 'the', 'largest', 'outer', 'filamentary', 'structure', 'all', 'must', 'then', 'have', 'been', 'ejected', 'over', 'a', 'short', 'timescale', 'but', 'with', 'a', 'range', 'of', 'ejection', 'velocities']] | [-0.10796124861567145, 0.08645331069384134, -0.06658400327148961, 0.04251479080781659, -0.12130165652644526, -0.12115244843170797, -0.022759494897000854, 0.4571405569852398, -0.22588769478223672, -0.2941418666472068, 0.07154017936284994, -0.2410992631382059, -0.03156756259438514, 0.20960610549330497, -0.013656713792531774, -0.040278574304776577, 0.06494210770910197, -0.06530011866011702, -0.055952919526423166, -0.2528448460024509, 0.2704021929899549, 0.05967825231789725, 0.1543642467018444, 0.005247985694284846, 0.05672228738392999, -0.10533476292607147, -0.01683412991157483, 0.0028108879923820496, -0.13079523695683393, 0.04339587077265605, 0.21202373890796813, 0.10019835725102982, 0.22134873125469312, -0.3914399590036582, -0.2376393614757079, 0.04019215825104677, 0.2445380579078252, 0.017148589877207285, 0.025313062385354964, -0.28194195278579504, 0.06375268128311556, -0.1732659749743506, -0.17661785873266436, 0.09971134739334514, 0.10446767493082983, 0.03417610217641085, -0.1667425143805747, 0.06554134983765302, 0.033905214421194124, 0.08644064505607253, -0.059705034411574785, -0.13566769969013587, -0.07628344323503126, 0.09775798861789177, 0.04326825899855665, 0.04287792063636205, 0.15843686934776333, -0.07533773914030639, -0.044732384599472694, 0.3753251564552689, -0.035008474675478504, -0.005613176066928157, 0.23401528579841663, -0.2023857789108439, -0.1562068920515807, 0.25145743272505794, 0.10799538877099843, 0.1329725051466262, -0.1181195657597372, -0.009512742370844068, -0.09483484270636038, 0.1629408256877668, 0.12972655124882826, 0.05079775976965476, 0.31134605599658155, 0.07093046318949768, 0.051003423885714896, 0.13709882433879722, -0.22009914428302338, -0.10012232809236682, -0.24513273098166724, -0.1079303605266188, -0.12494632977248374, 0.07251343344162195, -0.09313285648350735, -0.14400109897595517, 0.3489158199361821, 0.048886488745466056, 0.2615355319036852, -0.034994414415694605, 0.28812119175918494, 0.0530758595573943, 0.1363456068651342, 0.15271452782113423, 0.29120125400084185, 0.17701445553713002, 0.09316360595900133, -0.20856446997427933, 0.08467676603837257, 0.012471553861027265] |
711.3668 | Star exponential functions as two-valued elements | We propose a relatively new notion of two-valued elements, which arises
naturally in constructing the star exponential functions of the quad-ratics in
the Weyl algebra over the complex number field. This notion enables us to
describe the group like objects of the set of star exponential functions of
quadratics in the Weyl algebra.
| math.QA | we propose a relatively new notion of twovalued elements which arises naturally in constructing the star exponential functions of the quadratics in the weyl algebra over the complex number field this notion enables us to describe the group like objects of the set of star exponential functions of quadratics in the weyl algebra | [['we', 'propose', 'a', 'relatively', 'new', 'notion', 'of', 'twovalued', 'elements', 'which', 'arises', 'naturally', 'in', 'constructing', 'the', 'star', 'exponential', 'functions', 'of', 'the', 'quadratics', 'in', 'the', 'weyl', 'algebra', 'over', 'the', 'complex', 'number', 'field', 'this', 'notion', 'enables', 'us', 'to', 'describe', 'the', 'group', 'like', 'objects', 'of', 'the', 'set', 'of', 'star', 'exponential', 'functions', 'of', 'quadratics', 'in', 'the', 'weyl', 'algebra']] | [-0.18066230794098578, 0.11080681729429173, -0.09639017290945323, 0.04437325243565764, -0.14961502644813285, -0.06093897107320855, 0.033655661597566784, 0.30469601178313344, -0.3540447158914692, -0.2578732635439286, 0.030347253382645267, -0.19415373558986862, -0.1502866471572867, 0.17550388498688643, -0.11771742073502743, -0.006821214520144013, -0.0040472378813714354, 0.07655264113871556, -0.1277902254940204, -0.23250858429467902, 0.4198203395770968, -0.003832075534001836, 0.21370204959837896, -0.045587222162142116, 0.11210321306409139, 0.031385876422853405, -0.05827602280198403, -0.006276775748943383, -0.11305258667342505, 0.15508787681893357, 0.2557486597237722, 0.12929207743760548, 0.26396908350991755, -0.38003147534042037, -0.13306214558487794, 0.16472176529185953, 0.14698896901506298, 0.03616963668489161, -0.03695742532892047, -0.24518568509803065, 0.07714147171673347, -0.24155307072654086, -0.17713857082790643, -0.0497199413542337, 0.01765740561993125, 0.016067990242450866, -0.2493665661961543, 0.019039190681826957, 0.08012363116063599, 0.095784645211303, -0.0552757979845101, -0.033656253303699896, -0.01237545395709293, 0.06392433984591714, -0.01234609897266019, 0.026418182550806482, 0.09345642145160797, -0.13052268712429926, -0.12139326342785696, 0.37496823996727197, -0.0454287255569449, -0.1985618237511448, 0.17294917139664012, -0.2176970005000256, -0.17657971772242267, 0.096502547802509, 0.15912205761931134, 0.13711557313711997, -0.10302561233347317, 0.1677230980493269, -0.10226778392152826, 0.03606741840265832, 0.0545636287512574, 0.05924973995336946, 0.18845213290725676, 0.09092589979112711, 0.08518826613589278, 0.17891010434700633, -0.014760786491744924, -0.10366430688860281, -0.3462833799246066, -0.20640483106714938, -0.13102696377801587, 0.07885058020364563, -0.1340961717069149, -0.2600311481587167, 0.47255878127619344, 0.08081630870418728, 0.21113651983861653, 0.0832159249661139, 0.16416432095234687, 0.12026597580346411, 0.16049452127783365, 0.03756697306860862, 0.14209493137193177, 0.21690775643823282, 0.038768115495155867, -0.1867309279766215, 0.01713812656981765, 0.15832007436503498] |
711.3669 | Simplicial cohomology of augmentation ideals in ${\ell}^1(G)$ | Let $G$ be a discrete group. We give a decomposition theorem for the
Hochschild cohomology of $\ell^1(G)$ with coefficients in certain $G$-modules.
Using this we show that if $G$ is commutative-transitive, the canonical
inclusion of bounded cohomology of $G$ into simplicial cohomology of
$\ell^1(G)$ is an isomorphism.
| math.FA math.GR | let g be a discrete group we give a decomposition theorem for the hochschild cohomology of ell1g with coefficients in certain gmodules using this we show that if g is commutativetransitive the canonical inclusion of bounded cohomology of g into simplicial cohomology of ell1g is an isomorphism | [['let', 'g', 'be', 'a', 'discrete', 'group', 'we', 'give', 'a', 'decomposition', 'theorem', 'for', 'the', 'hochschild', 'cohomology', 'of', 'ell1g', 'with', 'coefficients', 'in', 'certain', 'gmodules', 'using', 'this', 'we', 'show', 'that', 'if', 'g', 'is', 'commutativetransitive', 'the', 'canonical', 'inclusion', 'of', 'bounded', 'cohomology', 'of', 'g', 'into', 'simplicial', 'cohomology', 'of', 'ell1g', 'is', 'an', 'isomorphism']] | [-0.2410003250140859, 0.0726330799747223, -0.17174067089091177, -0.009891390625853091, -0.13783992604231057, -0.1037432287171807, -0.0609759031187581, 0.3446043230917143, -0.4200737416420294, -0.19542838329368312, 0.06444545360231448, -0.1837938235991675, -0.1423798703952976, 0.15154637762790787, -0.1999030710886354, -0.1270016954563882, 0.09884527495697788, 0.1461700252459749, -0.07070433007775927, -0.2730815281848545, 0.4243915313044968, -0.10659991362658532, 0.14846334329036914, 0.10404637794050833, 0.13231654799259876, -0.015402154561699084, 0.017898577508395134, -0.022633656176090564, -0.1617033003543759, 0.12476045371073743, 0.37826579110190756, 0.02481609894691602, 0.213736889478953, -0.35693261875649507, -0.07862731220160166, 0.28071182632170943, 0.08445909266036165, -0.045043190273091845, -0.005712241389910164, -0.27429866074058024, 0.18549203233377068, -0.20062524177457974, -0.09776768798980376, -0.08847545273602009, 0.12411692548219276, -0.00815866545409612, -0.293257180115451, 0.009239207791245502, 0.09378396978844768, 0.14996250710733558, -0.08150049413392402, -0.08244830389183176, -0.12637821256952442, 0.06854464661370477, -0.10923670411474355, 0.03916380261880872, 0.08143438461601087, -0.0766374280868584, -0.13508570886662472, 0.44845390093067417, -0.11636511258699972, -0.2202902792284832, 0.0219294172509209, -0.20434701049943332, -0.2484285266381567, 0.09768944278197444, -0.00019001082071791524, 0.21281440244258745, 0.05277074719576732, 0.26211982477537316, -0.16858221082340763, 0.05603340695328687, 0.06388892690934565, -0.05396111239679158, 0.08686717982282458, 0.09347292155776497, 0.12805166354645853, 0.1870796703708196, 0.07816339991531214, 0.07964214742305162, -0.3669779945326888, -0.20044353658981298, -0.1533128234922238, 0.2303562671067598, -0.16871843214713686, -0.1815482055687386, 0.39636045872517256, 0.07847198148500985, 0.17164191686416694, 0.1943665597911762, 0.2259698707772338, 0.10080751622824566, 0.0663890901689782, 0.04905064618619888, 0.043088780392123306, 0.3275005528298409, -0.14496051777235192, -0.11553759640082717, -0.05618832981132943, 0.3227267041710666] |
711.367 | Opportunity to study the LPM effect in oriented crystal at GeV energy | The spectral distribution of electron-positron pair created by photon and the
spectral distribution of photons radiated from high-energy electron in an
oriented single crystal is calculated using the method which permits
inseparable consideration both of the coherent and incoherent mechanisms of two
relevant processes. The method includes the action of field of axis (or plane)
as well as the multiple scattering of radiating electron or particles of the
created pair (the Landau-Pomeranchuk-Migdal (LPM) effect). The influence of
scattering on the coherent mechanism and the influence of field on the
incoherent mechanism are analyzed. In tungsten, axis $<111>$ for the pair
creation process at temperature T= 100 K the LPM effect attains 8 % at photon
energy 5 GeV and for the radiation process at T= 293 K the LPM effect reaches 6
% at electron energy 10 GeV.
| hep-ph | the spectral distribution of electronpositron pair created by photon and the spectral distribution of photons radiated from highenergy electron in an oriented single crystal is calculated using the method which permits inseparable consideration both of the coherent and incoherent mechanisms of two relevant processes the method includes the action of field of axis or plane as well as the multiple scattering of radiating electron or particles of the created pair the landaupomeranchukmigdal lpm effect the influence of scattering on the coherent mechanism and the influence of field on the incoherent mechanism are analyzed in tungsten axis 111 for the pair creation process at temperature t 100 k the lpm effect attains 8 at photon energy 5 gev and for the radiation process at t 293 k the lpm effect reaches 6 at electron energy 10 gev | [['the', 'spectral', 'distribution', 'of', 'electronpositron', 'pair', 'created', 'by', 'photon', 'and', 'the', 'spectral', 'distribution', 'of', 'photons', 'radiated', 'from', 'highenergy', 'electron', 'in', 'an', 'oriented', 'single', 'crystal', 'is', 'calculated', 'using', 'the', 'method', 'which', 'permits', 'inseparable', 'consideration', 'both', 'of', 'the', 'coherent', 'and', 'incoherent', 'mechanisms', 'of', 'two', 'relevant', 'processes', 'the', 'method', 'includes', 'the', 'action', 'of', 'field', 'of', 'axis', 'or', 'plane', 'as', 'well', 'as', 'the', 'multiple', 'scattering', 'of', 'radiating', 'electron', 'or', 'particles', 'of', 'the', 'created', 'pair', 'the', 'landaupomeranchukmigdal', 'lpm', 'effect', 'the', 'influence', 'of', 'scattering', 'on', 'the', 'coherent', 'mechanism', 'and', 'the', 'influence', 'of', 'field', 'on', 'the', 'incoherent', 'mechanism', 'are', 'analyzed', 'in', 'tungsten', 'axis', '111', 'for', 'the', 'pair', 'creation', 'process', 'at', 'temperature', 't', '100', 'k', 'the', 'lpm', 'effect', 'attains', '8', 'at', 'photon', 'energy', '5', 'gev', 'and', 'for', 'the', 'radiation', 'process', 'at', 't', '293', 'k', 'the', 'lpm', 'effect', 'reaches', '6', 'at', 'electron', 'energy', '10', 'gev']] | [-0.10784161579110385, 0.2367156574714232, -0.0619841970722465, 0.09252526142017814, 0.011279621183776352, -0.07981367747860905, 0.048508295275763995, 0.3917310211040518, -0.2645204219254939, -0.3365035246482448, -0.014325808071161565, -0.333495807075344, 0.0341410278890501, 0.20838397856705876, 0.11729229831218939, 0.01572080627289217, 0.016359500881448826, 0.0408541096292217, 0.016124707501148805, -0.16747631552553846, 0.3341558224227115, 0.10153778369524791, 0.3115914730964612, 0.12475973537862849, 0.14241696355234393, 0.11188863082925844, -0.019632401448154056, -0.06497765418744701, -0.061177804735694626, 0.029487073983011, 0.15631176418837106, 0.026015856460777715, 0.19528792608145842, -0.38674314453622655, -0.17063199371263824, 0.059579881229985726, 0.1312174541873152, 0.06066053063927136, -0.05175804197685519, -0.22943213955252706, 0.059442494353895786, -0.15675631251788752, -0.12691748881822124, 0.04733359806157429, 0.010024569012731424, -0.019751694019171682, -0.2965976092656253, 0.09793205430512042, 0.09001113736046724, 0.042749801000087136, -0.058027811882579154, -0.12308835144914851, -0.06526423591233599, 0.04357366052949253, 0.044375788733304944, 0.06509183945736903, 0.21938860613976002, -0.12389486521030502, -0.1510513930937604, 0.38201399837784905, -0.07426072933423497, -0.09920200141256347, 0.14208259782069088, -0.19643024134326398, -0.025671759688788477, 0.2525533082867589, 0.18847929746355957, 0.13304183036020464, -0.13088801385396542, 0.07996133825680077, 0.026911692402791232, 0.094359779762967, 0.10335258944713346, 0.08839249103467035, 0.22169915070031387, 0.14580755826661035, -0.025398343904217816, 0.1422600160448757, -0.1929686725788997, -0.042883974404129034, -0.3153537077155574, -0.12425230130697053, -0.16828257333477, 0.07864247547695413, -0.07467545145011494, -0.11051617429920417, 0.38172902374679, 0.09576859737460515, 0.2022705993936945, -0.06434204572424813, 0.2968732333427076, 0.1227980816260884, 0.035034183957203126, 0.05969929895432228, 0.2612960008246934, 0.13261816417028005, 0.10360706318854629, -0.2581474080986535, 0.010038660986431162, -0.004271763568634496] |
711.3671 | Experimental charmonium decay results from BES | Based on 14 million psi(2S) and 58 million J/psi events collected by the
BESII detector, the leptonic decay of psi(2S) into $\tau^+\tau^-$, psi(2S)
multi-body decays, chi_cJ decays, and J/psi hadronic decays are studied, and
the branching fractions of these decays are reported. These results may shed
light on the understanding of QCD.
| hep-ex | based on 14 million psi2s and 58 million jpsi events collected by the besii detector the leptonic decay of psi2s into tautau psi2s multibody decays chi_cj decays and jpsi hadronic decays are studied and the branching fractions of these decays are reported these results may shed light on the understanding of qcd | [['based', 'on', '14', 'million', 'psi2s', 'and', '58', 'million', 'jpsi', 'events', 'collected', 'by', 'the', 'besii', 'detector', 'the', 'leptonic', 'decay', 'of', 'psi2s', 'into', 'tautau', 'psi2s', 'multibody', 'decays', 'chi_cj', 'decays', 'and', 'jpsi', 'hadronic', 'decays', 'are', 'studied', 'and', 'the', 'branching', 'fractions', 'of', 'these', 'decays', 'are', 'reported', 'these', 'results', 'may', 'shed', 'light', 'on', 'the', 'understanding', 'of', 'qcd']] | [0.008978331545502162, 0.3457354231683824, -0.12108232750772284, 0.17553643447060424, -0.05288393396096161, -0.1170164285800778, 0.05853542792969025, 0.2549077570438385, -0.10333766243778743, -0.21669797878712416, -0.09771484793432486, -0.5158942316461784, 0.13535398717683095, 0.16193817242926273, 0.17887602138440484, 0.22267550942846215, 0.229560029012366, -0.052706427925911084, -0.01289229855263749, -0.2629936530899543, 0.16967092636220443, -0.10003432018968922, 0.14910657970736232, 0.16311177908657834, -0.11573484239096825, -0.010007276969890181, -0.17121322983159468, -0.1464602408500818, -0.17054523008230787, 0.0003414483597645393, 0.19708904585030934, 0.175088523766205, 0.09529330065617195, -0.33310319368655866, 0.04015951361865378, 0.19859472040731746, 0.20945156118474328, -0.015226921693493541, -0.03344015476669973, -0.5300092588250453, 0.19617094953831, -0.1602063642707295, 0.08426165459856677, -0.07315295471254593, 0.04449995682359888, -0.10404914395453838, -0.312590296792153, 0.11631023826507422, -0.14275852626171678, 0.0357184479586207, -0.007020952144207863, -0.3737566674199815, -0.012100664271901432, -0.06736559758428484, 0.15895066095086244, 0.10796361672692001, 0.3045423844685921, -0.0927845615750322, -0.3012409391454779, 0.40108360522068465, 0.005522468615918814, -0.09572508046403527, 0.1401397461349216, -0.27253636131242204, -0.10922685356882329, 0.3140023345700823, 0.3899685152663061, 0.02769753268848245, -0.2517601538162965, 0.04405380416182407, -0.0025614257006404493, 0.17118701593090707, 0.10738182281000683, 0.19910953684190574, 0.12377682937165865, 0.2803707582374605, -0.18566614162857428, 0.0532180347542565, -0.13076038779511762, -0.05059338755045946, -0.43968871784566615, -0.11409946638517655, 0.026585936322450064, 0.20438335857425743, -0.0018500469061389314, -0.011214309354097797, 0.40572198007542354, -0.06704068709335004, 0.3819652623855151, -0.014379318230427228, 0.33331527245732456, 0.030361380647473898, -0.03368268053656301, 0.09240233776374505, 0.40881567237039024, 0.2635519991028839, 0.20229826760120118, -0.30011576313812, 0.06058941797192137, -0.006014975226627519] |
711.3672 | Weak vs. Self vs. Probabilistic Stabilization | Self-stabilization is a strong property that guarantees that a network always
resume correct behavior starting from an arbitrary initial state. Weaker
guarantees have later been introduced to cope with impossibility results:
probabilistic stabilization only gives probabilistic convergence to a correct
behavior. Also, weak stabilization only gives the possibility of convergence.
In this paper, we investigate the relative power of weak, self, and
probabilistic stabilization, with respect to the set of problems that can be
solved. We formally prove that in that sense, weak stabilization is strictly
stronger that self-stabilization. Also, we refine previous results on weak
stabilization to prove that, for practical schedule instances, a deterministic
weak-stabilizing protocol can be turned into a probabilistic self-stabilizing
one. This latter result hints at more practical use of weak-stabilization, as
such algorthms are easier to design and prove than their (probabilistic)
self-stabilizing counterparts.
| cs.DC cs.DS cs.NI | selfstabilization is a strong property that guarantees that a network always resume correct behavior starting from an arbitrary initial state weaker guarantees have later been introduced to cope with impossibility results probabilistic stabilization only gives probabilistic convergence to a correct behavior also weak stabilization only gives the possibility of convergence in this paper we investigate the relative power of weak self and probabilistic stabilization with respect to the set of problems that can be solved we formally prove that in that sense weak stabilization is strictly stronger that selfstabilization also we refine previous results on weak stabilization to prove that for practical schedule instances a deterministic weakstabilizing protocol can be turned into a probabilistic selfstabilizing one this latter result hints at more practical use of weakstabilization as such algorthms are easier to design and prove than their probabilistic selfstabilizing counterparts | [['selfstabilization', 'is', 'a', 'strong', 'property', 'that', 'guarantees', 'that', 'a', 'network', 'always', 'resume', 'correct', 'behavior', 'starting', 'from', 'an', 'arbitrary', 'initial', 'state', 'weaker', 'guarantees', 'have', 'later', 'been', 'introduced', 'to', 'cope', 'with', 'impossibility', 'results', 'probabilistic', 'stabilization', 'only', 'gives', 'probabilistic', 'convergence', 'to', 'a', 'correct', 'behavior', 'also', 'weak', 'stabilization', 'only', 'gives', 'the', 'possibility', 'of', 'convergence', 'in', 'this', 'paper', 'we', 'investigate', 'the', 'relative', 'power', 'of', 'weak', 'self', 'and', 'probabilistic', 'stabilization', 'with', 'respect', 'to', 'the', 'set', 'of', 'problems', 'that', 'can', 'be', 'solved', 'we', 'formally', 'prove', 'that', 'in', 'that', 'sense', 'weak', 'stabilization', 'is', 'strictly', 'stronger', 'that', 'selfstabilization', 'also', 'we', 'refine', 'previous', 'results', 'on', 'weak', 'stabilization', 'to', 'prove', 'that', 'for', 'practical', 'schedule', 'instances', 'a', 'deterministic', 'weakstabilizing', 'protocol', 'can', 'be', 'turned', 'into', 'a', 'probabilistic', 'selfstabilizing', 'one', 'this', 'latter', 'result', 'hints', 'at', 'more', 'practical', 'use', 'of', 'weakstabilization', 'as', 'such', 'algorthms', 'are', 'easier', 'to', 'design', 'and', 'prove', 'than', 'their', 'probabilistic', 'selfstabilizing', 'counterparts']] | [-0.1397932122221869, 0.07598672498004379, -0.11749573567555878, 0.09892836271574462, -0.13366842677096163, -0.21133170688497652, 0.06080342959153744, 0.3860234280191634, -0.29038429140609545, -0.24684903133587477, 0.10968662188456386, -0.1787450296709137, -0.13398827508900885, 0.21041603942476486, -0.13473274853474793, 0.04854602486330227, 0.09553940753268934, 0.019411345909818682, -0.04772651858498635, -0.26572978902220673, 0.28295893691833657, 0.05288342411169293, 0.2687097665425526, 0.04810522258091365, 0.08335308408378249, -0.012429401173127175, 0.05770673159591473, 0.07114150686899921, -0.10546750988296945, 0.10126432053826369, 0.23630172235850436, 0.14444898708254425, 0.3294450498736688, -0.42231014379755644, -0.19124131183391505, 0.14976462762952394, 0.13272551407214989, 0.17434370693118467, -0.055905894111747595, -0.27771089947952404, 0.21503251639405524, -0.158280033822151, -0.1377438815016585, -0.13320897947860896, -0.0026730140195275745, 0.009636174972393434, -0.30314657999624084, 0.011487487040334346, 0.16006326626836073, 0.0039047701556208358, -0.04752426213639224, -0.04206226268497697, 0.01987078756834958, 0.10009305270042025, 0.039616934924529196, 0.03623308478531693, 0.06039891030680198, -0.08554610850316656, -0.14561722015479348, 0.33944037507702834, -0.05928011421323669, -0.19183221974675238, 0.21617054509977898, -0.06431512570647645, -0.19310099660099422, 0.13589842619551143, 0.1367157707500686, 0.10295583946752722, -0.13746969702646789, 0.04356559395473994, -0.06508669613717791, 0.20551039508958585, 0.06964831771566975, 0.08065991364351481, 0.11181990264568233, 0.12432351849470151, 0.1952922755230327, 0.1705977404303169, 0.03889560106679471, -0.12604180281220453, -0.29300575542270485, -0.13014204178114225, -0.13592397617380114, 0.059332612330896144, -0.07315028510137161, -0.15596864745360764, 0.34016504279766097, 0.20317332167178392, 0.18460735723348232, 0.15810021165975907, 0.309139565702351, 0.1287445695358065, -0.014582384049715678, 0.0755029830463013, 0.28239734839337, 0.10560816380256502, 0.10508815910544818, -0.17301147144430581, 0.14527575601993578, 0.08537387526611097] |
711.3673 | Static and dynamic structure factors in three-dimensional randomly
diluted Ising models | We consider the three-dimensional randomly diluted Ising model and study the
critical behavior of the static and dynamic spin-spin correlation functions
(static and dynamic structure factors) at the paramagnetic-ferromagnetic
transition in the high-temperature phase. We consider a purely relaxational
dynamics without conservation laws, the so-called model A. We present Monte
Carlo simulations and perturbative field-theoretical calculations. While the
critical behavior of the static structure factor is quite similar to that
occurring in pure Ising systems, the dynamic structure factor shows a
substantially different critical behavior. In particular, the dynamic
correlation function shows a large-time decay rate which is momentum
independent. This effect is not related to the presence of the Griffiths tail,
which is expected to be irrelevant in the critical limit, but rather to the
breaking of translational invariance, which occurs for any sample and which, at
the critical point, is not recovered even after the disorder average.
| cond-mat.dis-nn cond-mat.stat-mech | we consider the threedimensional randomly diluted ising model and study the critical behavior of the static and dynamic spinspin correlation functions static and dynamic structure factors at the paramagneticferromagnetic transition in the hightemperature phase we consider a purely relaxational dynamics without conservation laws the socalled model a we present monte carlo simulations and perturbative fieldtheoretical calculations while the critical behavior of the static structure factor is quite similar to that occurring in pure ising systems the dynamic structure factor shows a substantially different critical behavior in particular the dynamic correlation function shows a largetime decay rate which is momentum independent this effect is not related to the presence of the griffiths tail which is expected to be irrelevant in the critical limit but rather to the breaking of translational invariance which occurs for any sample and which at the critical point is not recovered even after the disorder average | [['we', 'consider', 'the', 'threedimensional', 'randomly', 'diluted', 'ising', 'model', 'and', 'study', 'the', 'critical', 'behavior', 'of', 'the', 'static', 'and', 'dynamic', 'spinspin', 'correlation', 'functions', 'static', 'and', 'dynamic', 'structure', 'factors', 'at', 'the', 'paramagneticferromagnetic', 'transition', 'in', 'the', 'hightemperature', 'phase', 'we', 'consider', 'a', 'purely', 'relaxational', 'dynamics', 'without', 'conservation', 'laws', 'the', 'socalled', 'model', 'a', 'we', 'present', 'monte', 'carlo', 'simulations', 'and', 'perturbative', 'fieldtheoretical', 'calculations', 'while', 'the', 'critical', 'behavior', 'of', 'the', 'static', 'structure', 'factor', 'is', 'quite', 'similar', 'to', 'that', 'occurring', 'in', 'pure', 'ising', 'systems', 'the', 'dynamic', 'structure', 'factor', 'shows', 'a', 'substantially', 'different', 'critical', 'behavior', 'in', 'particular', 'the', 'dynamic', 'correlation', 'function', 'shows', 'a', 'largetime', 'decay', 'rate', 'which', 'is', 'momentum', 'independent', 'this', 'effect', 'is', 'not', 'related', 'to', 'the', 'presence', 'of', 'the', 'griffiths', 'tail', 'which', 'is', 'expected', 'to', 'be', 'irrelevant', 'in', 'the', 'critical', 'limit', 'but', 'rather', 'to', 'the', 'breaking', 'of', 'translational', 'invariance', 'which', 'occurs', 'for', 'any', 'sample', 'and', 'which', 'at', 'the', 'critical', 'point', 'is', 'not', 'recovered', 'even', 'after', 'the', 'disorder', 'average']] | [-0.1603849186490121, 0.17078883824682475, -0.1088470357888997, 0.09476673128333368, -0.019171920783142716, -0.1267268308094584, 0.05986213832999886, 0.332139133656985, -0.2669092171994232, -0.25239470248554374, 0.08268928032012143, -0.2885226561912904, -0.1506239800813964, 0.10769177703405637, 0.06393038256143864, 0.06020439592433856, -0.030133210657001943, 0.024865320518037817, -0.12070667875255614, -0.17376753034682682, 0.32387170560607975, 0.06841638075475324, 0.329183730121777, 0.06383397653948941, 0.03727339536901689, 0.04376802186719173, 0.05447309969021195, 0.05377072889214044, -0.13482699652176838, 0.0010197773144499168, 0.18970680062427817, -0.0016792784925982287, 0.20788544289073937, -0.38663266542274466, -0.23251651658757821, 0.10842553169416551, 0.14719776989151442, 0.14286093639941175, -0.015466016539116233, -0.255125459074199, 0.07494086485306088, -0.14394050820624368, -0.161118203086541, -0.0828604222394076, 0.0038657854311168194, -0.009267232662469973, -0.27772032362354243, 0.15949463257066054, 0.08786525641686764, 0.0764565537538635, -0.048280693707837656, -0.060683926408047845, -0.001987388720048354, 0.1387415463893968, 0.07624112710047314, 0.04854030625100854, 0.16552283824577727, -0.18211811916408874, -0.09556393799662664, 0.3965413001922253, -0.03590572711186571, -0.16571903906468827, 0.19798857908720938, -0.21219492789932945, -0.14008765691428776, 0.16236292784439788, 0.14488767438736938, 0.12751604715399695, -0.1548090817155973, 0.07739948082657457, 0.014989223565606263, 0.18982725425552258, -0.037026205250130804, 0.004092741076328211, 0.18441787417728028, 0.1570631705096379, 0.017794313821816603, 0.18701912735779488, -0.053852411408927416, -0.20474497557480215, -0.28394369184095786, -0.10116784768366574, -0.18270458183688856, 0.08930588837094987, -0.14241881310053392, -0.21495127283511745, 0.38507873838104856, 0.16770219576901338, 0.19658617311526064, 0.050967584393806005, 0.24692697133618913, 0.1641119731990183, 0.06184646739755701, 0.08935266176563682, 0.24820007253344478, 0.07689745741858828, 0.12283721677927713, -0.26965959876581974, 0.1068690301437906, 0.05898722088676971] |
711.3674 | Strong invariance principles for dependent random variables | We establish strong invariance principles for sums of stationary and ergodic
processes with nearly optimal bounds. Applications to linear and some nonlinear
processes are discussed. Strong laws of large numbers and laws of the iterated
logarithm are also obtained under easily verifiable conditions.
| math.PR | we establish strong invariance principles for sums of stationary and ergodic processes with nearly optimal bounds applications to linear and some nonlinear processes are discussed strong laws of large numbers and laws of the iterated logarithm are also obtained under easily verifiable conditions | [['we', 'establish', 'strong', 'invariance', 'principles', 'for', 'sums', 'of', 'stationary', 'and', 'ergodic', 'processes', 'with', 'nearly', 'optimal', 'bounds', 'applications', 'to', 'linear', 'and', 'some', 'nonlinear', 'processes', 'are', 'discussed', 'strong', 'laws', 'of', 'large', 'numbers', 'and', 'laws', 'of', 'the', 'iterated', 'logarithm', 'are', 'also', 'obtained', 'under', 'easily', 'verifiable', 'conditions']] | [-0.1833735712868876, 0.15201115099236714, -0.08263873672762583, 0.15572671876505537, -0.05498163960332614, -0.1714178383307055, 0.06273837054018365, 0.3394304105015688, -0.3360594650513904, -0.23551180447603381, 0.18190586414231463, -0.2227854895687034, -0.15552256689515226, 0.28741726409210716, -0.05384497441957856, 0.1922181523296722, 0.0025496364267932814, -0.03956924365876719, -0.06038963856435446, -0.24239771565162513, 0.2994755730032921, 0.02515985773399819, 0.2972048787876617, 0.08367503981707011, 0.13702147274256446, -0.016031634268285924, -0.03913609724394371, 0.029344084174480548, -0.18803090805750947, 0.09114245271180259, 0.23683935629073963, 0.08563369365279065, 0.2358586439689578, -0.43787902732228123, -0.13404219625734312, 0.10898932535201311, 0.05480994943117853, 0.050365883077299875, -0.042942373731801674, -0.28887477783529564, 0.122002555858777, -0.08808867282472378, -0.19100057522138192, -0.15626810484587453, 0.0035414695739746094, 0.1708074538686941, -0.3683671885559898, 0.09044563650562384, 0.13350715483863687, 0.08401824969278518, -0.04551156824671252, -0.11172035039770742, 0.03695366938793382, 0.12829635724382, 0.10977655735819838, -0.17132452966342138, 0.11250534725137228, -0.09906993826937883, -0.14598930332549784, 0.37970633891432787, -0.06929896680129216, -0.1957462867288742, 0.22166132658373477, -0.18056401787975498, -0.20183236595394827, 0.12665605580780742, 0.179080315172499, 0.11499166731224504, -0.1943878765152984, 0.12077252267518752, -0.05831765515599833, 0.06347515602964302, 0.07731000262550837, 0.1414043142373652, 0.12218737509101629, 0.013265209781482469, 0.12446426693350077, 0.14709627444227769, 0.05726279846804087, -0.19423351166120104, -0.3834684768388438, -0.1161088403314352, -0.12121548033644293, 0.08043330474648365, -0.15083794995261152, -0.1308419246112841, 0.25766198246111705, 0.07403089252278902, 0.1393299094336324, 0.1838260664236407, 0.20659493715610616, 0.23626711137246253, 0.013692464376258295, 0.07780407434112804, 0.19615474078319642, 0.2206852479383003, 0.07307180230570741, -0.13768428104907968, 0.0606979837446192, 0.09956209155254413] |
711.3675 | Derivations of Normalized Mutual Information in Binary Classifications | This correspondence studies the basic problem of classifications - how to
evaluate different classifiers. Although the conventional performance indexes,
such as accuracy, are commonly used in classifier selection or evaluation,
information-based criteria, such as mutual information, are becoming popular in
feature/model selections. In this work, we propose to assess classifiers in
terms of normalized mutual information (NI), which is novel and well defined in
a compact range for classifier evaluation. We derive close-form relations of
normalized mutual information with respect to accuracy, precision, and recall
in binary classifications. By exploring the relations among them, we reveal
that NI is actually a set of nonlinear functions, with a concordant
power-exponent form, to each performance index. The relations can also be
expressed with respect to precision and recall, or to false alarm and hitting
rate (recall).
| cs.LG cs.IT math.IT | this correspondence studies the basic problem of classifications how to evaluate different classifiers although the conventional performance indexes such as accuracy are commonly used in classifier selection or evaluation informationbased criteria such as mutual information are becoming popular in featuremodel selections in this work we propose to assess classifiers in terms of normalized mutual information ni which is novel and well defined in a compact range for classifier evaluation we derive closeform relations of normalized mutual information with respect to accuracy precision and recall in binary classifications by exploring the relations among them we reveal that ni is actually a set of nonlinear functions with a concordant powerexponent form to each performance index the relations can also be expressed with respect to precision and recall or to false alarm and hitting rate recall | [['this', 'correspondence', 'studies', 'the', 'basic', 'problem', 'of', 'classifications', 'how', 'to', 'evaluate', 'different', 'classifiers', 'although', 'the', 'conventional', 'performance', 'indexes', 'such', 'as', 'accuracy', 'are', 'commonly', 'used', 'in', 'classifier', 'selection', 'or', 'evaluation', 'informationbased', 'criteria', 'such', 'as', 'mutual', 'information', 'are', 'becoming', 'popular', 'in', 'featuremodel', 'selections', 'in', 'this', 'work', 'we', 'propose', 'to', 'assess', 'classifiers', 'in', 'terms', 'of', 'normalized', 'mutual', 'information', 'ni', 'which', 'is', 'novel', 'and', 'well', 'defined', 'in', 'a', 'compact', 'range', 'for', 'classifier', 'evaluation', 'we', 'derive', 'closeform', 'relations', 'of', 'normalized', 'mutual', 'information', 'with', 'respect', 'to', 'accuracy', 'precision', 'and', 'recall', 'in', 'binary', 'classifications', 'by', 'exploring', 'the', 'relations', 'among', 'them', 'we', 'reveal', 'that', 'ni', 'is', 'actually', 'a', 'set', 'of', 'nonlinear', 'functions', 'with', 'a', 'concordant', 'powerexponent', 'form', 'to', 'each', 'performance', 'index', 'the', 'relations', 'can', 'also', 'be', 'expressed', 'with', 'respect', 'to', 'precision', 'and', 'recall', 'or', 'to', 'false', 'alarm', 'and', 'hitting', 'rate', 'recall']] | [-0.06722901783570762, 0.003564353762123421, -0.043077425334517284, 0.10180763110610877, -0.07118975781864052, -0.1544562413371417, 0.09034412271762622, 0.42828723091546816, -0.2487365416560379, -0.3499889912924424, 0.0947397370264645, -0.3166735878726112, -0.16288086796492224, 0.1947614503959958, -0.13602143636271927, 0.07301701726178632, 0.0643440579590281, 0.10404672935953406, -0.12488753881611157, -0.29695138159377515, 0.30972264758275664, 0.06329765642872294, 0.3111856762490427, 0.015777615233118297, 0.0830336763640823, 0.004556838643402999, -0.06677579364334127, 0.05029666019276581, -0.14730007896753683, 0.15114476743868716, 0.30513959166323695, 0.19535636134047546, 0.26581852638539466, -0.30223766486835846, -0.15555332749655457, 0.11486689234507903, 0.11957576731575355, 0.054087285638230544, 0.009368673628125027, -0.29032247990302257, 0.10710372696879483, -0.17417878610857776, -0.0403890494658889, -0.1365321619251302, -0.0014179825093170613, 0.07491902049403382, -0.3005244989687477, 0.08444369359467115, 0.039181200994484355, 0.08266208437449149, -0.03058905491093529, -0.10504309238709567, 0.00042910119234264353, 0.1535820611290463, 0.04952878644067851, 0.031110369743430944, 0.10397394324247619, -0.1414444412096232, -0.1614421249246438, 0.35792385936423227, -0.07663421296756288, -0.2557677333136551, 0.21672939069085675, -0.08398452295232138, -0.11779990965742192, 0.05639964852211926, 0.22548785734608884, 0.08961419305828122, -0.18233526460399838, -0.03975161445639914, 0.020166762158957147, 0.18079450637997904, 0.10177450221145654, 0.09488817900845795, 0.21467856748939584, 0.16869331372525004, 0.008927432109267656, 0.13842996045189931, -0.0694433214111371, -0.0653182768675264, -0.2445591590331711, -0.17781350254045644, -0.14843239716275503, -0.007713642904449624, -0.11125060786157207, -0.14384074118841467, 0.33124921656256356, 0.18108639383745442, 0.21266961091674352, 0.10888057702153438, 0.2966613832093377, 0.12592611846326093, 0.06363531621059164, 0.06844759128547011, 0.23142403008448287, 0.09205408700215736, 0.02969227569846024, -0.14788849065293566, 0.10349456537941484, 0.06309281407947873] |
711.3676 | Entanglement growth and simulation efficiency in one-dimensional quantum
lattice systems | We study the evolution of one-dimensional quantum lattice systems when the
ground state is perturbed by altering one site in the middle of the chain. For
a large class of models, we observe a similar pattern of entanglement growth
during the evolution, characterized by a moderate increase of significant
Schmidt coefficients in all relevant bipartite decompositions of the state. As
a result, the evolution can be accurately described by a matrix product state
and efficiently simulated using the time-evolving block decimation algorithm.
| cond-mat.str-el quant-ph | we study the evolution of onedimensional quantum lattice systems when the ground state is perturbed by altering one site in the middle of the chain for a large class of models we observe a similar pattern of entanglement growth during the evolution characterized by a moderate increase of significant schmidt coefficients in all relevant bipartite decompositions of the state as a result the evolution can be accurately described by a matrix product state and efficiently simulated using the timeevolving block decimation algorithm | [['we', 'study', 'the', 'evolution', 'of', 'onedimensional', 'quantum', 'lattice', 'systems', 'when', 'the', 'ground', 'state', 'is', 'perturbed', 'by', 'altering', 'one', 'site', 'in', 'the', 'middle', 'of', 'the', 'chain', 'for', 'a', 'large', 'class', 'of', 'models', 'we', 'observe', 'a', 'similar', 'pattern', 'of', 'entanglement', 'growth', 'during', 'the', 'evolution', 'characterized', 'by', 'a', 'moderate', 'increase', 'of', 'significant', 'schmidt', 'coefficients', 'in', 'all', 'relevant', 'bipartite', 'decompositions', 'of', 'the', 'state', 'as', 'a', 'result', 'the', 'evolution', 'can', 'be', 'accurately', 'described', 'by', 'a', 'matrix', 'product', 'state', 'and', 'efficiently', 'simulated', 'using', 'the', 'timeevolving', 'block', 'decimation', 'algorithm']] | [-0.12221862682391231, 0.19642198828287513, -0.06466044762694254, 0.04566072983377636, 0.037895606208887954, -0.11989811037258222, 0.01890198238372871, 0.32018735431838874, -0.3006185503994546, -0.2931860769621846, 0.16329439037206878, -0.23626041813276527, -0.14658047436032354, 0.1503937390985013, 0.03722606464175553, 0.07195738766614984, 0.11866539050029909, 0.032995480930478105, -0.08836726786387039, -0.2387452094883817, 0.33986695080132384, 0.06988566310752592, 0.28395628615668633, -0.013379045941003757, 0.07720995388311766, 0.050556501509939754, 0.004800084296886514, 0.05011835371757426, -0.11381175614916152, 0.07409524121719253, 0.21499166774433767, 0.10304421061513627, 0.24598515347191474, -0.41011723242245796, -0.21437216206260662, 0.11456372457692718, 0.13456244114786386, 0.1844636993028405, -0.023443737085738287, -0.28193004356651774, 0.03759585695750103, -0.22127079193639318, -0.15571667422631347, -0.052243431459362735, -4.1091184290807424e-05, 0.020768579914058536, -0.24597935210459115, 0.08951488122480308, 0.045187312113007576, 0.03172198387726051, -0.05203854518079358, -0.06701600297763036, -0.036521547996416326, 0.15942098950951575, -0.058944386626003174, -0.012418415968124642, 0.09759929204904814, -0.13107755242012123, -0.1129860311587591, 0.352525231133147, -0.13363191845440647, -0.16686701237383048, 0.1570572330113841, -0.1478015876477357, -0.11452395161159518, 0.132368186755651, 0.16761007267845476, 0.10395443725694971, -0.11004329387403076, 0.06881516958274893, -0.05828583315469143, 0.16173818659444805, 0.017483766917593596, 0.006779619106432286, 0.20564229176493315, 0.15598542624573428, 0.056905566408049044, 0.21523648562767292, -0.030256321210777613, -0.1399360672661626, -0.22588021242309633, -0.1742495730769162, -0.26865319919164815, 0.06195864483441522, -0.11801629047255208, -0.16346793795549652, 0.4613305603085858, 0.071553834584459, 0.22929948851148166, 0.008637749655285805, 0.2213557273967237, 0.13270252043943534, 0.06880957113079182, 0.08149804756834694, 0.1857876433400301, 0.1383491461761523, 0.05735096550353507, -0.27874721763314814, 0.11630697593234178, 0.08339782783807051] |
711.3677 | Nonexistence of triples of nonisomorphic connected graphs with
isomorphic connected $P_3$-graphs | In the paper "Broersma and Hoede, {\it Path graphs}, J. Graph Theory {\bf 13}
(1989) 427-444", the authors proposed a problem whether there is a triple of
mutually nonisomorphic connected graphs which have an isomorphic connected
$P_3$-graph. For a long time, this problem remains unanswered. In this paper,
we give it a negative answer that there is no such triple, and thus completely
solve this problem.
| math.CO | in the paper broersma and hoede it path graphs j graph theory bf 13 1989 427444 the authors proposed a problem whether there is a triple of mutually nonisomorphic connected graphs which have an isomorphic connected p_3graph for a long time this problem remains unanswered in this paper we give it a negative answer that there is no such triple and thus completely solve this problem | [['in', 'the', 'paper', 'broersma', 'and', 'hoede', 'it', 'path', 'graphs', 'j', 'graph', 'theory', 'bf', '13', '1989', '427444', 'the', 'authors', 'proposed', 'a', 'problem', 'whether', 'there', 'is', 'a', 'triple', 'of', 'mutually', 'nonisomorphic', 'connected', 'graphs', 'which', 'have', 'an', 'isomorphic', 'connected', 'p_3graph', 'for', 'a', 'long', 'time', 'this', 'problem', 'remains', 'unanswered', 'in', 'this', 'paper', 'we', 'give', 'it', 'a', 'negative', 'answer', 'that', 'there', 'is', 'no', 'such', 'triple', 'and', 'thus', 'completely', 'solve', 'this', 'problem']] | [-0.17217317308550553, 0.09419456136339928, -0.03311385267547199, 0.027167111098404147, -0.09344365826201817, -0.16057899916574123, 0.0538978787408846, 0.39477566224596805, -0.30614935748633887, -0.2933754147222591, 0.1057565993415044, -0.28212426641275956, -0.23030051745710864, 0.13046789358532618, -0.12816484390004051, -0.00829559387195678, 0.12431536356194152, 0.05700154481307855, 0.05027041941629871, -0.30227026996241574, 0.32379849603961386, -0.018645581918665104, 0.16358379738651113, 0.13722744532343414, 0.1320982621428335, 0.007017709492217927, -0.01697926838985748, 0.06840960779005573, -0.18817090982534748, 0.07634422652578603, 0.33747285634042723, 0.13857426831410044, 0.2941202641971084, -0.35407143361156895, -0.14310144559879387, 0.23911210237022873, 0.12124375741751421, 0.050055607035386536, -0.03393237356333032, -0.18597457099646802, 0.10722873271221206, -0.16918454941968242, -0.0858875440344924, 0.005818715015988028, 0.13414106180980093, -0.13067276758097468, -0.22057506235109436, 0.03386672783369524, 0.16708557106672772, 0.04168483051693156, -0.003686037269376573, -0.04846563681753145, 0.06312945159891295, 0.11046847013667935, -0.01440399949796489, 0.1152286207717326, -0.05903150479859924, -0.0662209624313705, -0.21283760895982148, 0.3529913428254307, 0.048744625973677826, -0.21770755256090077, 0.1716901490257846, -0.0463905763250613, -0.2186911323713878, 0.09391085681180278, 0.08429522985326392, 0.17999916378822592, -0.1580097773777587, 0.16238147655819793, -0.17678252409493167, 0.14309169219008513, 0.13227267870827328, -0.04935352344782875, 0.18278466392318174, 0.12982560209338628, 0.1376218737975236, 0.10681992398929738, 0.06687409049343496, -0.02159742223438881, -0.25769147829758743, -0.1399149993464114, -0.18175933057154042, 0.11307903172241317, -0.02904745298465492, -0.22754225542857534, 0.4061120439557329, 0.15732892715032137, 0.2004341645875857, 0.0447291230749605, 0.2449360459096848, 0.09675748398645766, 0.02318934593368174, 0.18273803100935995, 0.1856815354041164, 0.18788342783966708, 0.06946435273580608, -0.12463628401285008, 0.031483073648627076, 0.0809290102343001] |
711.3678 | Twisted character of a small representation | This paper has been withdrawn by the author as it has already been submitted
under the title "Twisted character of a small Representation of GL(4)".
| math.RT math.NT | this paper has been withdrawn by the author as it has already been submitted under the title twisted character of a small representation of gl4 | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'author', 'as', 'it', 'has', 'already', 'been', 'submitted', 'under', 'the', 'title', 'twisted', 'character', 'of', 'a', 'small', 'representation', 'of', 'gl4']] | [-0.1468852412700653, 0.060652999430894854, -0.1523142233490944, -0.05103030063677579, -0.12925264529883862, -0.072049231659621, -0.06047968504484743, 0.3293441528081894, -0.25605512082576753, -0.3027950206398964, 0.12603348890319466, -0.2654241389036179, -0.15529868599027397, 0.1351038402505219, -0.16477243524044752, 0.09515516936779023, 0.04883124824613333, 0.1171164633333683, -0.032108724657446144, -0.3740948078036308, 0.3313239684700966, 0.1269203820824623, 0.2860984117537737, 0.12046278935624287, 0.06960328925400973, -0.027917444352060557, -0.025708757042884826, 0.006512715816497803, -0.0816071766242385, 0.0807409293577075, 0.2277165025472641, 0.010628605702368076, 0.3562370912358165, -0.36775884792208674, -0.23447631815448403, 0.07962833732366562, 0.11136706062592566, 0.12134911522269248, -0.09834180284291506, -0.3526503559947014, 0.2089340548031032, -0.3506286397576332, -0.09268857079558074, -0.061224250718951226, 0.14861183173954487, -0.05991867048665881, -0.10171639308333397, -0.0011873819679021835, 0.1727878974378109, 0.18657703898847103, -0.03331930447369814, -0.16733871184289456, 0.03923024900257587, 0.1952623928524554, 0.15736296266317368, 0.11410449836403132, -0.01379485808312893, -0.10843390970490872, -0.06735582411289215, 0.40293178409338, -0.033920880407094955, -0.1996522207558155, 0.13475467264652252, -0.06057053001597524, -0.20098548635840416, 0.15276383340358735, 0.10183468982577323, 0.11239516973495484, -0.20360776118934154, 0.2564499735832214, -0.21580548208206893, 0.11914142653346062, 0.22792873039841652, -0.06551603883504868, 0.1446821178495884, 0.14611797170247884, -0.037888494953513145, 0.21213434383273125, -0.005996234565973282, -0.008012724816799164, -0.210163716673851, -0.20173402681946753, -0.23924467116594314, 0.10443180464208127, 0.1862901070713997, -0.13533965032547712, 0.42520776361227036, 0.10004995625466108, 0.14921593945473433, -0.09433011442422867, 0.22625104049220682, 0.15372160310856997, 0.14518915638327598, -0.024489870108664036, 0.24146425982937217, 0.14553178102709352, 0.1579884608089924, -0.03917967855930329, 0.17361157099716365, 0.2006031534075737] |
711.3679 | Scaling Law for Radius of Gyration and Its Dependence on Hydrophobicity | Scaling law for geometrical and dynamical quantities of biological molecules
is an interesting topic. According to Flory's theory, a power law between
radius of gyration and the length of homopolymer chain is found, with exponent
3/5 for good solvent and 1/3 for poor solvent. For protein in physiological
condition, a solvent condition in between, a power law with exponent ~2/5 is
obtained. In this paper, we present a unified formula to cover all above cases.
It shows that the scaling exponents are generally correlated with fractal
dimension of a chain under certain solvent condition. While applying our
formula to protein, the fractal dimension is found to depend on its
hydrophobicity. By turning a physical process-varying hydrophobicity of a chain
by amino acid mutation, to an equivalent chemical process-varying polarity of
solvent by adding polar or nonpolar molecules, we successfully deprive this
relation, with reasonable agreement to statistical data. And it will be helpful
for protein structure prediction. Our results indicate that the protein may
share the same basic principle with homopolymer, despite its specificity as a
heteropolymer.
| physics.bio-ph physics.chem-ph | scaling law for geometrical and dynamical quantities of biological molecules is an interesting topic according to florys theory a power law between radius of gyration and the length of homopolymer chain is found with exponent 35 for good solvent and 13 for poor solvent for protein in physiological condition a solvent condition in between a power law with exponent 25 is obtained in this paper we present a unified formula to cover all above cases it shows that the scaling exponents are generally correlated with fractal dimension of a chain under certain solvent condition while applying our formula to protein the fractal dimension is found to depend on its hydrophobicity by turning a physical processvarying hydrophobicity of a chain by amino acid mutation to an equivalent chemical processvarying polarity of solvent by adding polar or nonpolar molecules we successfully deprive this relation with reasonable agreement to statistical data and it will be helpful for protein structure prediction our results indicate that the protein may share the same basic principle with homopolymer despite its specificity as a heteropolymer | [['scaling', 'law', 'for', 'geometrical', 'and', 'dynamical', 'quantities', 'of', 'biological', 'molecules', 'is', 'an', 'interesting', 'topic', 'according', 'to', 'florys', 'theory', 'a', 'power', 'law', 'between', 'radius', 'of', 'gyration', 'and', 'the', 'length', 'of', 'homopolymer', 'chain', 'is', 'found', 'with', 'exponent', '35', 'for', 'good', 'solvent', 'and', '13', 'for', 'poor', 'solvent', 'for', 'protein', 'in', 'physiological', 'condition', 'a', 'solvent', 'condition', 'in', 'between', 'a', 'power', 'law', 'with', 'exponent', '25', 'is', 'obtained', 'in', 'this', 'paper', 'we', 'present', 'a', 'unified', 'formula', 'to', 'cover', 'all', 'above', 'cases', 'it', 'shows', 'that', 'the', 'scaling', 'exponents', 'are', 'generally', 'correlated', 'with', 'fractal', 'dimension', 'of', 'a', 'chain', 'under', 'certain', 'solvent', 'condition', 'while', 'applying', 'our', 'formula', 'to', 'protein', 'the', 'fractal', 'dimension', 'is', 'found', 'to', 'depend', 'on', 'its', 'hydrophobicity', 'by', 'turning', 'a', 'physical', 'processvarying', 'hydrophobicity', 'of', 'a', 'chain', 'by', 'amino', 'acid', 'mutation', 'to', 'an', 'equivalent', 'chemical', 'processvarying', 'polarity', 'of', 'solvent', 'by', 'adding', 'polar', 'or', 'nonpolar', 'molecules', 'we', 'successfully', 'deprive', 'this', 'relation', 'with', 'reasonable', 'agreement', 'to', 'statistical', 'data', 'and', 'it', 'will', 'be', 'helpful', 'for', 'protein', 'structure', 'prediction', 'our', 'results', 'indicate', 'that', 'the', 'protein', 'may', 'share', 'the', 'same', 'basic', 'principle', 'with', 'homopolymer', 'despite', 'its', 'specificity', 'as', 'a', 'heteropolymer']] | [-0.08942690083091813, 0.1402304183360788, -0.09506037256148245, 0.0539989326056093, -0.023170409144700636, -0.20278808107666138, 0.07440562708569425, 0.3897997416323051, -0.24673883367180158, -0.283789500053972, 0.03295031021016517, -0.25251226188881054, -0.16421973859891295, 0.17429471767773586, -0.04825097184096064, 0.04092168944156063, 0.03515625955004777, 0.03867389814928174, -0.013966646098664829, -0.19272421220849667, 0.23546957054574574, 0.10882461073675326, 0.2752510126972837, 0.11719151828005644, 0.0932670300753255, -0.038440660360668386, 0.04307786552501576, 0.040805915730171755, -0.2006842302082805, 0.12296592453228576, 0.25243442296848767, 0.046482669870768274, 0.2077103333800499, -0.38761482597461766, -0.22790136990270443, 0.07209889796961631, 0.13627581858475293, 0.10960698675281103, -0.027716993845866195, -0.22453512811767204, 0.12626987831400974, -0.13549404919679675, -0.15165850598631161, -0.05834971766120621, 0.03897522015230996, 0.07173229077531557, -0.2628161367710813, 0.14738237216004305, 0.06854286376835911, 0.1315043032541871, -0.07167641255871526, -0.11419654869873609, -0.02018319148570299, 0.14532272743061184, 0.10356329572786178, 0.02271955764719418, 0.21372772746586374, -0.09114202158791679, -0.03557896500187261, 0.3959812807983586, -0.022551713633084936, -0.22305399508348533, 0.19883388620402132, -0.11761893740722111, -0.1603343470474439, 0.159391109447128, 0.06143824605936451, 0.0547271566065943, -0.17001605583388094, 0.04004359841213695, -0.025801100972374636, 0.24644547673208372, 0.08518953558057546, -0.008842301635179736, 0.19628519722119173, 0.16780894073990307, 0.03238502174881952, 0.1811139453794541, -0.03751874495430717, -0.14508419235902173, -0.24103396168211474, -0.17643500136194884, -0.19456015030919974, 0.07228799674859536, -0.1848731372475491, -0.1790955186049853, 0.33878001313124384, 0.07121339217312198, 0.19485122931855064, 0.12321330906291093, 0.20016054079468762, 0.04365272762586496, 0.06581106707985912, -0.007443144809720772, 0.16023222759366035, 0.12695920850083764, 0.0937127699370363, -0.22983591437605874, 0.12241467307188682, 0.07890063796857638] |
711.368 | Dynamics of magnetic topological solitons in soft magnetic nanostripes | The motions of domain walls driven by magnetic field in soft magnetic
nanostripes were calculated. The domain walls reveal steady motions in the low
fields and oscillations of their internal structure above a critical field. A
developed soliton model of the walls explains its dynamics by the motions of a
limited number of magnetic topological solitons such as vortex and antivortex.
We predict the reduced wall velocity and critical field in the low-field
regime, and increased wall-oscillation frequency in nanostripes, compared to 1D
Walker solution for bulk magnets. The critical field and velocity are
determined by the nanostripe sizes, whereas the oscillation frequency depends
only on the field strength.
| nlin.PS | the motions of domain walls driven by magnetic field in soft magnetic nanostripes were calculated the domain walls reveal steady motions in the low fields and oscillations of their internal structure above a critical field a developed soliton model of the walls explains its dynamics by the motions of a limited number of magnetic topological solitons such as vortex and antivortex we predict the reduced wall velocity and critical field in the lowfield regime and increased walloscillation frequency in nanostripes compared to 1d walker solution for bulk magnets the critical field and velocity are determined by the nanostripe sizes whereas the oscillation frequency depends only on the field strength | [['the', 'motions', 'of', 'domain', 'walls', 'driven', 'by', 'magnetic', 'field', 'in', 'soft', 'magnetic', 'nanostripes', 'were', 'calculated', 'the', 'domain', 'walls', 'reveal', 'steady', 'motions', 'in', 'the', 'low', 'fields', 'and', 'oscillations', 'of', 'their', 'internal', 'structure', 'above', 'a', 'critical', 'field', 'a', 'developed', 'soliton', 'model', 'of', 'the', 'walls', 'explains', 'its', 'dynamics', 'by', 'the', 'motions', 'of', 'a', 'limited', 'number', 'of', 'magnetic', 'topological', 'solitons', 'such', 'as', 'vortex', 'and', 'antivortex', 'we', 'predict', 'the', 'reduced', 'wall', 'velocity', 'and', 'critical', 'field', 'in', 'the', 'lowfield', 'regime', 'and', 'increased', 'walloscillation', 'frequency', 'in', 'nanostripes', 'compared', 'to', '1d', 'walker', 'solution', 'for', 'bulk', 'magnets', 'the', 'critical', 'field', 'and', 'velocity', 'are', 'determined', 'by', 'the', 'nanostripe', 'sizes', 'whereas', 'the', 'oscillation', 'frequency', 'depends', 'only', 'on', 'the', 'field', 'strength']] | [-0.21552673557393806, 0.23573574338418743, -0.015317215291024358, 0.011401168782160513, -0.07276622419185177, -0.06928196034601165, 0.04898766633899262, 0.39212331810483225, -0.26167787283796956, -0.30300222728746357, 0.10571652961705157, -0.19142439104702877, -0.06151664901861093, 0.20411615409129472, 0.0393322678067273, 0.009793218668804641, -0.02028148635118096, 0.05119370626656477, 0.010630870565634084, -0.12668379029404336, 0.27580020616598494, -0.01945102393316726, 0.3504666394523897, 0.04005556836448334, 0.07721798040869611, -0.05320942114404817, 0.04702060257032928, 0.103334095962863, -0.1763618461588555, 0.02680793077753926, 0.13268853756771595, -0.07801217328394866, 0.20537349952738387, -0.4823874861381396, -0.23262840555118466, 0.022383244009688497, 0.19850593997613974, 0.14710719168565614, -0.028676094067998713, -0.341901407542604, 0.04346950235776603, -0.0829723027612393, -0.17737231550617488, -0.056316803543638716, 0.0458801530648661, 0.10390216555377399, -0.20212519934446188, 0.13950442675397629, 0.0552006606131154, 0.11951690562138403, -0.14023066966695263, -0.0730638354833462, -0.08561430156179187, 0.09058588589714081, 0.07955106834048854, 0.10048806473949096, 0.2196453527107628, -0.23488597124297586, -0.10617353230783785, 0.3363155074874629, -0.08263289365331056, -0.16375619891025256, 0.17769879767352162, -0.23011209910166347, 0.0013437872942261122, 0.20009919612978896, 0.1454516591291866, 0.08088556183847012, -0.07366730249325176, 0.07571552999946073, 0.02966652606200013, 0.14677303276106682, 0.09674982920168312, -0.004806492796719626, 0.2677765272523242, 0.1645891869492415, 0.02547751115290103, 0.15701418949066903, -0.15550063953398624, -0.08593103530842604, -0.24176116804247377, -0.11472147669970852, -0.22271606827982598, -0.002596317648163272, -0.0893437747763528, -0.19482681113381492, 0.42028064319553476, 0.13041534303273591, 0.19312538054563683, -0.06115117226727307, 0.2532066809427407, 0.1154916515925261, 0.08548653501956896, 0.09283292904082271, 0.29289577141645606, 0.21511433211896844, 0.1832947758483459, -0.2979885740938631, -0.009474690945353359, 0.018898082665853307] |
711.3681 | Gap structure in noncentrosymmetric superconductors | Gap structure in noncentrosymmetric superconductors with spin-orbit band
splitting is studied using a microscopic model of pairing mediated by phonons
and/or spin fluctuations. The general form of pairing interaction in the band
representation is derived, which includes both the intraband and interband
pairing terms. In the case of isotropic interaction (in particular, for a
BCS-contact interaction), the interband pairing terms vanish identically at any
magnitude of the band splitting. The effects of pairing interaction anisotropy
are analyzed in detail for a metal of cubic symmetry with strong spin-orbit
coupling. It is shown that if phonons are dominant then the gaps in two bands
are isotropic, nodeless, and have in general different amplitudes. Applications
to the Li_2(Pd_{1-x},Pt_x)_3B family of noncentrosymmetric superconductors are
discussed.
| cond-mat.supr-con | gap structure in noncentrosymmetric superconductors with spinorbit band splitting is studied using a microscopic model of pairing mediated by phonons andor spin fluctuations the general form of pairing interaction in the band representation is derived which includes both the intraband and interband pairing terms in the case of isotropic interaction in particular for a bcscontact interaction the interband pairing terms vanish identically at any magnitude of the band splitting the effects of pairing interaction anisotropy are analyzed in detail for a metal of cubic symmetry with strong spinorbit coupling it is shown that if phonons are dominant then the gaps in two bands are isotropic nodeless and have in general different amplitudes applications to the li_2pd_1xpt_x_3b family of noncentrosymmetric superconductors are discussed | [['gap', 'structure', 'in', 'noncentrosymmetric', 'superconductors', 'with', 'spinorbit', 'band', 'splitting', 'is', 'studied', 'using', 'a', 'microscopic', 'model', 'of', 'pairing', 'mediated', 'by', 'phonons', 'andor', 'spin', 'fluctuations', 'the', 'general', 'form', 'of', 'pairing', 'interaction', 'in', 'the', 'band', 'representation', 'is', 'derived', 'which', 'includes', 'both', 'the', 'intraband', 'and', 'interband', 'pairing', 'terms', 'in', 'the', 'case', 'of', 'isotropic', 'interaction', 'in', 'particular', 'for', 'a', 'bcscontact', 'interaction', 'the', 'interband', 'pairing', 'terms', 'vanish', 'identically', 'at', 'any', 'magnitude', 'of', 'the', 'band', 'splitting', 'the', 'effects', 'of', 'pairing', 'interaction', 'anisotropy', 'are', 'analyzed', 'in', 'detail', 'for', 'a', 'metal', 'of', 'cubic', 'symmetry', 'with', 'strong', 'spinorbit', 'coupling', 'it', 'is', 'shown', 'that', 'if', 'phonons', 'are', 'dominant', 'then', 'the', 'gaps', 'in', 'two', 'bands', 'are', 'isotropic', 'nodeless', 'and', 'have', 'in', 'general', 'different', 'amplitudes', 'applications', 'to', 'the', 'li_2pd_1xpt_x_3b', 'family', 'of', 'noncentrosymmetric', 'superconductors', 'are', 'discussed']] | [-0.25132609241014764, 0.22118892545873406, 0.006714485882019455, 0.10802832629035174, -0.07579179673093903, -0.15670766495553054, 0.004015721542345098, 0.4065893033811869, -0.24926673944208247, -0.2322236312830374, -0.056669062318103314, -0.3174696321991726, -0.13330262320400946, 0.14950042184680884, 0.10132358969412436, -0.06473820225127842, -0.04774160812462657, -0.046905735957874985, -0.12924980297819366, -0.2170388533556757, 0.3883468466233616, -0.035810232231747514, 0.3310192475587992, 0.11081844794925702, -0.02619114200669256, 0.04702503629767698, 0.11267260879216608, -0.007029115999779426, -0.10408125119313862, 0.07545183823359283, 0.30274964595398257, -0.17528909966272632, 0.17237859440405567, -0.4010104331503476, -0.2329218021078297, 0.03627406758802735, 0.13987633918435122, 0.16100411027312, -0.036071124371171985, -0.27665581159901703, 0.018752183053211486, -0.2047891974495339, -0.10256168003432638, -0.09946181525934242, 0.024709302885842718, 0.0020795236649530486, -0.2638610001323429, 0.10016685550886183, 0.08009611056590345, 0.0861151782980512, -0.11433962044067496, -0.13756823005377938, -0.09254147695408256, 0.035959059145486305, 0.10902186741856165, 0.018632534945245124, 0.047612354672159844, -0.1121263757255698, -0.07225681164817623, 0.41437508465196893, -0.06388144893571734, -0.14675761512980973, 0.135730843115521, -0.1255631686172887, -0.06641026492007385, 0.15986382585665412, 0.10919788795377104, 0.04568488784288326, -0.1399381950864191, 0.15240614611005088, 0.007384903859808918, 0.11498401109283128, 0.01912042063714798, 0.13686063151502567, 0.2203303993610311, 0.15364599035290832, 0.015666121226342873, 0.08656838640555246, -0.09528231917791961, -0.06245919877339986, -0.2908325294294387, -0.10343881186929123, -0.2522895312906543, 0.01174830736145993, -0.0373837358281228, -0.15816541327127978, 0.4060489066456991, 0.08187797160391996, 0.14489461175235344, -0.05498944239379176, 0.21220515426710124, 0.14415462494804715, 0.09610479834108529, 0.04168684239122124, 0.3175130369726661, 0.17715498548739952, 0.027582337171578212, -0.3105395426665825, 0.06417015258584571, 0.02710783183921036] |
711.3682 | Search for a Dark Matter annihilation signal from the Sagittarius dwarf
galaxy with H.E.S.S | Dwarf Spheroidal galaxies are amongst the best targets to search for a Dark
Matter annihilation signal. The annihilation of WIMPs in the center of
Sagittarius dwarf spheroidal (Sgr dSph) galaxy would produce high energy
gamma-rays in the final state. Observations carried out with the H.E.S.S. array
of Imaging Atmospheric Cherenkov telescopes are presented. A careful modelling
of the Dark Matter halo profile of Sgr dwarf was performed using latest
measurements on its structural parameters. Constraints on the velocity-weighted
cross section of Dark Matter particles are derived in the framework of
Supersymmetric and Kaluza-Klein models.
| astro-ph | dwarf spheroidal galaxies are amongst the best targets to search for a dark matter annihilation signal the annihilation of wimps in the center of sagittarius dwarf spheroidal sgr dsph galaxy would produce high energy gammarays in the final state observations carried out with the hess array of imaging atmospheric cherenkov telescopes are presented a careful modelling of the dark matter halo profile of sgr dwarf was performed using latest measurements on its structural parameters constraints on the velocityweighted cross section of dark matter particles are derived in the framework of supersymmetric and kaluzaklein models | [['dwarf', 'spheroidal', 'galaxies', 'are', 'amongst', 'the', 'best', 'targets', 'to', 'search', 'for', 'a', 'dark', 'matter', 'annihilation', 'signal', 'the', 'annihilation', 'of', 'wimps', 'in', 'the', 'center', 'of', 'sagittarius', 'dwarf', 'spheroidal', 'sgr', 'dsph', 'galaxy', 'would', 'produce', 'high', 'energy', 'gammarays', 'in', 'the', 'final', 'state', 'observations', 'carried', 'out', 'with', 'the', 'hess', 'array', 'of', 'imaging', 'atmospheric', 'cherenkov', 'telescopes', 'are', 'presented', 'a', 'careful', 'modelling', 'of', 'the', 'dark', 'matter', 'halo', 'profile', 'of', 'sgr', 'dwarf', 'was', 'performed', 'using', 'latest', 'measurements', 'on', 'its', 'structural', 'parameters', 'constraints', 'on', 'the', 'velocityweighted', 'cross', 'section', 'of', 'dark', 'matter', 'particles', 'are', 'derived', 'in', 'the', 'framework', 'of', 'supersymmetric', 'and', 'kaluzaklein', 'models']] | [-0.08286699247942801, 0.0949487563846831, -0.14572631387396695, 0.15308037475544087, -0.17800304257964833, -0.05127727642080727, -0.019341850791998367, 0.3693103613926375, -0.09597702137135128, -0.4217950127464026, -0.03889149723529935, -0.34145996390663563, 0.0443520521388409, 0.21597154495712528, 0.049515976378585194, 0.045294560305650364, 0.1326072700742751, -0.055330461797680947, -0.013448538148448742, -0.28858138209684414, 0.24547943473605321, 0.12120710426763176, 0.1227590923341229, -0.06460466358979094, 0.08435901699766041, -0.044506042123217376, -0.12193889755934001, -0.1465116530518107, -0.15987400326164478, 0.02090994944360028, 0.24948609825348306, 0.1268189895125304, 0.0623084529912337, -0.42770178152367155, -0.24011968132207526, 0.13959291449530012, 0.1851497417504087, -0.01089793024584651, -0.12860286571927607, -0.41117897843743895, 0.045370687022210754, -0.2295516333740918, -0.14878002904910356, 0.07560959776387886, -0.00362028937014018, 0.047644707780489896, -0.17991177503891448, 0.12786402608555286, -0.02939321470020854, -0.025835931646647527, -0.1379059912361938, -0.16770356595565744, -0.04870982430293225, -0.03023304079381868, 0.06831355143259181, -0.01850052758001108, 0.28650134240594155, -0.202736080059425, -0.02872012587303811, 0.4235804013095479, -0.118721943512123, -0.02530650550033897, 0.18972784987195057, -0.18046158757754305, -0.22253707366589298, 0.14525637990160983, 0.16908029515415113, 0.08631396414266225, -0.20229765496395052, 0.12848004750211406, -0.03428947114623449, 0.18229935190422422, 0.040118630400839, 0.032325225639648666, 0.39154241198891815, 0.19110986792502252, 0.10096946712385149, 0.023938581803219117, -0.2808891418835822, -0.023855720111664307, -0.29953858256340027, -0.11787625401221374, -0.16088333524803214, 0.029995787262104133, -0.08389727397746917, -0.06990962287292202, 0.3484568716363704, 0.028552134610474744, 0.21681089679452967, -0.018385948214501617, 0.35889557038527975, 0.030106175858081577, 0.0597738431583337, 0.022853891137353283, 0.3923838715802165, 0.20488099320890737, 0.08951457934652238, -0.21819715594694494, -0.013858986206035664, -0.02697884725367135] |
711.3683 | Charm Spectroscopy at BaBar | We present a mini-review on charm spectroscopy at the BaBar experiment. We
first report on the $c\bar{s}$ meson spectrum, and present precise measurements
of the $D_{s1}(2536)$ meson as well as the properties of the many new states
discovered since 2003 ($D_{s0}^*(2317)$, $D_{s1}(2460)$, $D_{sJ}^*(2860)$, and
$D_{sJ}(2700)$ mesons). We then discuss about charmed baryons observed recently
in the BaBar experiment: $\Omega_c^0$ and $\Omega_c^{*0}$ $css$ baryons,
$\Lambda_c(2940)^+$ $udc$ baryon and the $\Xi_c$ $usc/dsc$ baryons.
| hep-ex | we present a minireview on charm spectroscopy at the babar experiment we first report on the cbars meson spectrum and present precise measurements of the d_s12536 meson as well as the properties of the many new states discovered since 2003 d_s02317 d_s12460 d_sj2860 and d_sj2700 mesons we then discuss about charmed baryons observed recently in the babar experiment omega_c0 and omega_c0 css baryons lambda_c2940 udc baryon and the xi_c uscdsc baryons | [['we', 'present', 'a', 'minireview', 'on', 'charm', 'spectroscopy', 'at', 'the', 'babar', 'experiment', 'we', 'first', 'report', 'on', 'the', 'cbars', 'meson', 'spectrum', 'and', 'present', 'precise', 'measurements', 'of', 'the', 'd_s12536', 'meson', 'as', 'well', 'as', 'the', 'properties', 'of', 'the', 'many', 'new', 'states', 'discovered', 'since', '2003', 'd_s02317', 'd_s12460', 'd_sj2860', 'and', 'd_sj2700', 'mesons', 'we', 'then', 'discuss', 'about', 'charmed', 'baryons', 'observed', 'recently', 'in', 'the', 'babar', 'experiment', 'omega_c0', 'and', 'omega_c0', 'css', 'baryons', 'lambda_c2940', 'udc', 'baryon', 'and', 'the', 'xi_c', 'uscdsc', 'baryons']] | [-0.07443065635327782, 0.24505804465152323, -0.11412661670973258, 0.18672097793647222, -0.07801308280655316, -0.12457736024766096, 0.1669719511709575, 0.28442728011203666, -0.0844802858773619, -0.20456674756299306, -0.07689595796068066, -0.43314212838719995, 0.022091098901416573, 0.04540269845830543, 0.14065095576058542, 0.19031658942279006, 0.11911282442244035, 0.0046943723024534326, 0.022590668153549945, -0.19187439826450178, 0.3135968436620065, -0.016842805088630744, 0.14897324184754066, 0.19299624505053672, -0.03245904416378055, -0.040752568528322236, -0.030927090153896383, -0.14325952992907592, -0.16607408615361366, 0.030307188559423333, 0.21044658656257006, 0.1598264958609694, 0.08200745404298816, -0.31112278186317, -0.04679959939260568, 0.1111008660535195, 0.213516243587115, 0.16944427785762986, -0.06874493658875248, -0.4886959127150476, 0.13999529688486032, -0.1866039595699736, -0.12561665595109975, -0.15620799232939525, 0.027246376339878354, -0.08891935061131205, -0.21838956608303955, 0.1422906264928835, -0.16070215165714866, 0.07002073222039533, -0.08175504203619702, -0.3760915054740118, -0.027960563926691457, -0.049766272845278896, 0.06940931168251804, 0.11040499538648874, 0.14000322557320552, -0.11508090741865869, -0.22924414570443333, 0.3731426409578749, -0.049428921325930526, -0.04055223397112318, 0.06435733577569148, -0.21086954386638743, -0.22153055375175817, 0.002819156666685428, 0.21359547105218682, 0.0412444668023714, -0.17811561838856765, 0.05004667062977595, -0.14812664333730935, 0.20136251256002913, 0.10862713623459318, 0.2007505803768124, 0.17520684794123684, 0.18458800993061492, -0.14585190462696898, 0.05658921679881002, -0.06654790725692042, 0.005676542674856526, -0.3552054464284863, -0.11453468709618651, -0.10678025987664504, 0.05703035640264196, 0.0803525730975837, -0.027707708760031632, 0.42380120983081204, -0.02577575067324298, 0.3526272106915712, -0.045828718525756686, 0.3318403437201466, -0.0020356524586012323, -0.002787765534594655, 0.14379280690502907, 0.3725435191033674, 0.30301311734531605, 0.23724566095375588, -0.3428173694027854, 0.003098691600774016, -0.007634151969770236] |
711.3684 | Comment on "Efimov States and their Fano Resonances in a Neutron-Rich
Nucleus" | By introducing a mass asymmetry in a non-Borromean three-body system, without
changing the energy relations, the virtual state pole cannot move from the
negative real axis of the complex energy plane (with nonzero width) and become
a resonance, because the analytical structure of the unitarity cuts remains the
same.
| nucl-th | by introducing a mass asymmetry in a nonborromean threebody system without changing the energy relations the virtual state pole cannot move from the negative real axis of the complex energy plane with nonzero width and become a resonance because the analytical structure of the unitarity cuts remains the same | [['by', 'introducing', 'a', 'mass', 'asymmetry', 'in', 'a', 'nonborromean', 'threebody', 'system', 'without', 'changing', 'the', 'energy', 'relations', 'the', 'virtual', 'state', 'pole', 'can', 'not', 'move', 'from', 'the', 'negative', 'real', 'axis', 'of', 'the', 'complex', 'energy', 'plane', 'with', 'nonzero', 'width', 'and', 'become', 'a', 'resonance', 'because', 'the', 'analytical', 'structure', 'of', 'the', 'unitarity', 'cuts', 'remains', 'the', 'same']] | [-0.1958092627286607, 0.19317844954832475, -0.08684493327627377, 0.09103083813905108, -0.11645667809917003, -0.10320608338284097, 0.07367911442582097, 0.31793372614347204, -0.28863042497969404, -0.32014784922025036, 0.0650287387127589, -0.2527598061465791, -0.06069359664178016, 0.12248846046550542, 0.06653052879193304, 0.04485536063308543, 0.08255104094325584, 0.05869656893880848, -0.0773833756719963, -0.13104137442815972, 0.3710370261070071, 0.03346568962312019, 0.2308554781638846, 0.11684329961711655, 0.05768622333012825, 0.07718618013135785, 0.03290064020880631, 0.017639989299433573, -0.07449630776489134, 0.06840953318288132, 0.15211676296835042, 0.06345994803788406, 0.191769181774473, -0.3730205749826772, -0.1499947162192999, 0.12199781584192296, 0.18459620014099137, 0.14302255130582014, -0.050503739638121, -0.2840951879565813, 0.02603084425803046, -0.13833378349449865, -0.22450801065875864, -0.012026722200823074, -0.01088707432226867, -0.04278869740664959, -0.2248609993780241, 0.07360628184539322, 0.007260767994828674, 0.04257450803962289, -0.07595365789091708, -0.1317211690487112, -0.10982846760438109, 0.12500174226695482, 0.028913002480201577, 0.03676212273956257, 0.15587979557030662, -0.17344187633419522, -0.07261247916755323, 0.3888833900647504, -0.019706444163825745, -0.25805759490752705, 0.13086214403108676, -0.20393661098858837, -0.055817643380058665, 0.19670310225907942, 0.14923748133789597, 0.04152758239901492, -0.12912935049068752, 0.14016989377037414, -0.01594675815075028, 0.17984691266046496, 0.11412946465520227, -0.031457392955008816, 0.2626583860160745, 0.08955882071536414, 0.052660354959531405, 0.09716088597529701, -0.08866997316897827, -0.13049691736850202, -0.29265338224263826, -0.12782292635351114, -0.16075083624086894, 0.041125833404034244, -0.06680292917423815, -0.173008291678009, 0.3963124248180158, 0.04594618240751478, 0.3165277923238749, 0.013754138019772209, 0.3720430810080499, 0.15856232425929712, 0.13949081679920153, 0.06467884811287632, 0.2933486620230334, 0.11529268083466711, 0.12371722034805892, -0.27775650322722384, 0.06892829945272937, -0.008302877923207623] |
711.3685 | Continuous Axion Photon Duality and its Consequences | The axion photon system in an external magnetic field, when for example
considered with the geometry of the experiments exploring axion photon mixing,
displays a continuous axion-photon duality symmetry in the limit the axion mass
is neglected. The conservation law that follows from this symmetry is obtained.
The magnetic field interaction is seen to be equivalent to first order to the
interaction of a complex charged field with an external electric potential,
where this ficticious "electric potential" is proportional to the external
magnetic field. This allows to solve for the scattering amplitudes using
already known scalar QED results. It is argued that in more generic conditions
(not just related to these experiments) axion-photon condensation could be
obtained for high magnetic fields. Finally an exact constraint originating
fromthe current conservation on the amplitudes of reflected and transmited
waves is obtained.
| hep-th | the axion photon system in an external magnetic field when for example considered with the geometry of the experiments exploring axion photon mixing displays a continuous axionphoton duality symmetry in the limit the axion mass is neglected the conservation law that follows from this symmetry is obtained the magnetic field interaction is seen to be equivalent to first order to the interaction of a complex charged field with an external electric potential where this ficticious electric potential is proportional to the external magnetic field this allows to solve for the scattering amplitudes using already known scalar qed results it is argued that in more generic conditions not just related to these experiments axionphoton condensation could be obtained for high magnetic fields finally an exact constraint originating fromthe current conservation on the amplitudes of reflected and transmited waves is obtained | [['the', 'axion', 'photon', 'system', 'in', 'an', 'external', 'magnetic', 'field', 'when', 'for', 'example', 'considered', 'with', 'the', 'geometry', 'of', 'the', 'experiments', 'exploring', 'axion', 'photon', 'mixing', 'displays', 'a', 'continuous', 'axionphoton', 'duality', 'symmetry', 'in', 'the', 'limit', 'the', 'axion', 'mass', 'is', 'neglected', 'the', 'conservation', 'law', 'that', 'follows', 'from', 'this', 'symmetry', 'is', 'obtained', 'the', 'magnetic', 'field', 'interaction', 'is', 'seen', 'to', 'be', 'equivalent', 'to', 'first', 'order', 'to', 'the', 'interaction', 'of', 'a', 'complex', 'charged', 'field', 'with', 'an', 'external', 'electric', 'potential', 'where', 'this', 'ficticious', 'electric', 'potential', 'is', 'proportional', 'to', 'the', 'external', 'magnetic', 'field', 'this', 'allows', 'to', 'solve', 'for', 'the', 'scattering', 'amplitudes', 'using', 'already', 'known', 'scalar', 'qed', 'results', 'it', 'is', 'argued', 'that', 'in', 'more', 'generic', 'conditions', 'not', 'just', 'related', 'to', 'these', 'experiments', 'axionphoton', 'condensation', 'could', 'be', 'obtained', 'for', 'high', 'magnetic', 'fields', 'finally', 'an', 'exact', 'constraint', 'originating', 'fromthe', 'current', 'conservation', 'on', 'the', 'amplitudes', 'of', 'reflected', 'and', 'transmited', 'waves', 'is', 'obtained']] | [-0.17953644338674654, 0.21264508808994637, -0.04374540359308214, 0.09874362244685787, -0.09998200217808556, -0.10038218859488657, -0.01007904582724407, 0.3391937204717618, -0.2438368589711794, -0.3349868374913796, 0.04814560591172346, -0.22808828774640974, -0.10448688473822414, 0.20479166451031747, 0.01370096040815385, 0.0011578203124952488, -0.030667193653230704, 0.07536561283505643, -0.026888307018637442, -0.1840214393729263, 0.3138775589835385, 0.04172094985910192, 0.2631765490370816, 0.10112692190644641, 0.08102354795361559, -0.005122264514785206, 0.03806980297077393, 0.03623471887566257, -0.07318328711783355, 0.0467925852475067, 0.17492032832503185, 0.04346213421160718, 0.1516665719361787, -0.43650113550973113, -0.19563918679183268, 0.09979915425292743, 0.1432229406934272, 0.1374361458026966, -0.09070417348709231, -0.31683105208735535, 0.0378933259981104, -0.13473079562781082, -0.16905495911782634, -0.07236924600463522, 0.02221114440497173, -0.010611403014753823, -0.35048827652117587, 0.04180791625159158, 0.024384311937087594, 0.020185207214165966, -0.098820892353694, -0.06468213777533612, -0.014155911467294547, 0.06811170108161657, 0.1450734481365636, 0.11183337869959464, 0.161412716844875, -0.19211569315234225, -0.09791168252063537, 0.392449193853426, -0.10262393361704923, -0.18203010206259246, 0.1522733383319354, -0.16569545778000486, -0.10330219127818187, 0.15371654567349216, 0.12512462754840153, 0.09554267657586024, -0.16440718149164424, 0.12899339876594898, -0.0232354863209353, 0.17833654353719042, 0.05932304455115851, 0.0018716058617903163, 0.24605114818753107, 0.12923083314672112, 0.04835403917114372, 0.14062863239087164, -0.05730184187026074, -0.09049630457319427, -0.32859592690922157, -0.11395274509213514, -0.17731020847281467, 0.09859796263713244, -0.07490623941755958, -0.14190173865991065, 0.33636546446401894, 0.17567834802025903, 0.1350049420354375, -0.02903439139312916, 0.308428710690983, 0.21503884609589569, 0.09954011655097111, 0.028013978116349248, 0.3325059849067011, 0.1965740387044523, 0.14474028413035517, -0.2473676688530469, -0.035952709979661136, 0.017236020004349775] |
711.3686 | Biased random walks on a Galton-Watson tree with leaves | We consider a biased random walk $X_n$ on a Galton-Watson tree with leaves in
the sub-ballistic regime. We prove that there exists an explicit constant
$\gamma= \gamma(\beta) \in (0,1)$, depending on the bias $\beta$, such that
$X_n$ is of order $n^{\gamma}$. Denoting $\Delta_n$ the hitting time of level
$n$, we prove that $\Delta_n/n^{1/\gamma}$ is tight. Moreover we show that
$\Delta_n/n^{1/\gamma}$ does not converge in law (at least for large values of
$\beta$). We prove that along the sequences $n_{\lambda}(k)=\lfloor \lambda
\beta^{\gamma k}\rfloor$, $\Delta_n/n^{1/\gamma}$ converges to certain
infinitely divisible laws. Key tools for the proof are the classical Harris
decomposition for Galton-Watson trees, a new variant of regeneration times and
the careful analysis of triangular arrays of i.i.d. heavy-tailed random
variables.
| math.PR | we consider a biased random walk x_n on a galtonwatson tree with leaves in the subballistic regime we prove that there exists an explicit constant gamma gammabeta in 01 depending on the bias beta such that x_n is of order ngamma denoting delta_n the hitting time of level n we prove that delta_nn1gamma is tight moreover we show that delta_nn1gamma does not converge in law at least for large values of beta we prove that along the sequences n_lambdaklfloor lambda betagamma krfloor delta_nn1gamma converges to certain infinitely divisible laws key tools for the proof are the classical harris decomposition for galtonwatson trees a new variant of regeneration times and the careful analysis of triangular arrays of iid heavytailed random variables | [['we', 'consider', 'a', 'biased', 'random', 'walk', 'x_n', 'on', 'a', 'galtonwatson', 'tree', 'with', 'leaves', 'in', 'the', 'subballistic', 'regime', 'we', 'prove', 'that', 'there', 'exists', 'an', 'explicit', 'constant', 'gamma', 'gammabeta', 'in', '01', 'depending', 'on', 'the', 'bias', 'beta', 'such', 'that', 'x_n', 'is', 'of', 'order', 'ngamma', 'denoting', 'delta_n', 'the', 'hitting', 'time', 'of', 'level', 'n', 'we', 'prove', 'that', 'delta_nn1gamma', 'is', 'tight', 'moreover', 'we', 'show', 'that', 'delta_nn1gamma', 'does', 'not', 'converge', 'in', 'law', 'at', 'least', 'for', 'large', 'values', 'of', 'beta', 'we', 'prove', 'that', 'along', 'the', 'sequences', 'n_lambdaklfloor', 'lambda', 'betagamma', 'krfloor', 'delta_nn1gamma', 'converges', 'to', 'certain', 'infinitely', 'divisible', 'laws', 'key', 'tools', 'for', 'the', 'proof', 'are', 'the', 'classical', 'harris', 'decomposition', 'for', 'galtonwatson', 'trees', 'a', 'new', 'variant', 'of', 'regeneration', 'times', 'and', 'the', 'careful', 'analysis', 'of', 'triangular', 'arrays', 'of', 'iid', 'heavytailed', 'random', 'variables']] | [-0.16035467521208574, 0.20912272477301994, -0.08235477602061958, 0.06143161436440265, -0.02261314555308071, -0.17653557973108808, 0.07392215070519913, 0.36943092636006364, -0.2804384322736365, -0.1635840187891055, 0.07925890713054055, -0.2980834796148652, -0.1165381151742807, 0.18240485602389958, -0.079864974031067, 0.042596450727260315, 0.05384991737871857, 0.081175392065434, -0.004673648221118344, -0.23735145778766187, 0.27168236938068424, -0.007551664439172058, 0.22613934539179553, -0.004659842605055389, 0.13690011822855322, 0.0361030323459753, -0.005998703378836735, -0.011388227469840292, -0.21720614852103792, 0.012251709489708261, 0.18312322633869757, 0.07353931019216839, 0.2750736439158603, -0.35746266326661835, -0.11912515375100202, 0.23271490263326441, 0.189221207321803, 0.029758616090136563, -0.020941212820678443, -0.20581822571447278, 0.14883938350335407, -0.08372049943259838, -0.17879919141878264, -0.0327841274250867, 0.0727391413144641, 0.09567546230440928, -0.3589359490019348, 0.06247770818842228, 0.158199744926513, 0.027612539592309523, 0.037366455850996454, -0.18773801753818356, 0.019183125437663522, 0.10175048225654006, 0.03891556091129117, 0.018383175802813703, 0.09778481125989455, -0.06510224867445887, -0.11372201326421573, 0.2958941848838102, -0.07943211914675499, -0.20686640955065771, 0.110333869730959, -0.20798807332323768, -0.2544550442973436, 0.11950282159979629, 0.1290654095520672, 0.12645330692581502, -0.08432501891896255, 0.17509184414629383, -0.09540833308365416, 0.16917009900276692, 0.12470030472061391, -0.018603115291255762, 0.11530367950750989, 0.13984357037628858, 0.15687052294675072, 0.11443408607047494, -0.04118637540930156, -0.10252733660419866, -0.34534368620617156, -0.1359921424330007, -0.21796958814019937, 0.15998655247171034, -0.22445365620796248, -0.2427312965560073, 0.28663607569158833, 0.12197090105609416, 0.20715436495059186, 0.1979539430704189, 0.19353231302584853, 0.1575957868717832, -0.03264319961121053, 0.10820194553994274, 0.09201342259312711, 0.14504735248352765, 0.01512327752770635, -0.13239860231198874, 0.1029146321007382, 0.11570656246316256] |
711.3687 | Residual-based localization and quantification of peaks in x-ray
diffractograms | We consider data consisting of photon counts of diffracted x-ray radiation as
a function of the angle of diffraction. The problem is to determine the
positions, powers and shapes of the relevant peaks. An additional difficulty is
that the power of the peaks is to be measured from a baseline which itself must
be identified. Most methods of de-noising data of this kind do not explicitly
take into account the modality of the final estimate. The residual-based
procedure we propose uses the so-called taut string method, which minimizes the
number of peaks subject to a tube constraint on the integrated data. The
baseline is identified by combining the result of the taut string with an
estimate of the first derivative of the baseline obtained using a weighted
smoothing spline. Finally, each individual peak is expressed as the finite sum
of kernels chosen from a parametric family.
| stat.AP | we consider data consisting of photon counts of diffracted xray radiation as a function of the angle of diffraction the problem is to determine the positions powers and shapes of the relevant peaks an additional difficulty is that the power of the peaks is to be measured from a baseline which itself must be identified most methods of denoising data of this kind do not explicitly take into account the modality of the final estimate the residualbased procedure we propose uses the socalled taut string method which minimizes the number of peaks subject to a tube constraint on the integrated data the baseline is identified by combining the result of the taut string with an estimate of the first derivative of the baseline obtained using a weighted smoothing spline finally each individual peak is expressed as the finite sum of kernels chosen from a parametric family | [['we', 'consider', 'data', 'consisting', 'of', 'photon', 'counts', 'of', 'diffracted', 'xray', 'radiation', 'as', 'a', 'function', 'of', 'the', 'angle', 'of', 'diffraction', 'the', 'problem', 'is', 'to', 'determine', 'the', 'positions', 'powers', 'and', 'shapes', 'of', 'the', 'relevant', 'peaks', 'an', 'additional', 'difficulty', 'is', 'that', 'the', 'power', 'of', 'the', 'peaks', 'is', 'to', 'be', 'measured', 'from', 'a', 'baseline', 'which', 'itself', 'must', 'be', 'identified', 'most', 'methods', 'of', 'denoising', 'data', 'of', 'this', 'kind', 'do', 'not', 'explicitly', 'take', 'into', 'account', 'the', 'modality', 'of', 'the', 'final', 'estimate', 'the', 'residualbased', 'procedure', 'we', 'propose', 'uses', 'the', 'socalled', 'taut', 'string', 'method', 'which', 'minimizes', 'the', 'number', 'of', 'peaks', 'subject', 'to', 'a', 'tube', 'constraint', 'on', 'the', 'integrated', 'data', 'the', 'baseline', 'is', 'identified', 'by', 'combining', 'the', 'result', 'of', 'the', 'taut', 'string', 'with', 'an', 'estimate', 'of', 'the', 'first', 'derivative', 'of', 'the', 'baseline', 'obtained', 'using', 'a', 'weighted', 'smoothing', 'spline', 'finally', 'each', 'individual', 'peak', 'is', 'expressed', 'as', 'the', 'finite', 'sum', 'of', 'kernels', 'chosen', 'from', 'a', 'parametric', 'family']] | [-0.0941013978883522, 0.05983446643202189, -0.11340370939084495, 0.07238934239155728, -0.08677474982806876, -0.08709202820039673, 0.03495028879723116, 0.36560299324050344, -0.291719897009898, -0.30604724258133403, 0.08973689813945085, -0.28378369856134616, -0.08193174256282948, 0.1974734204114823, -0.05274546235219307, 0.04253901283604361, 0.05570635623107218, 0.06817131840993892, -0.07023079257956004, -0.22509143149742558, 0.32507071550297617, 0.053530300240198225, 0.26911764896366336, 0.029323282434719884, 0.15302586744217303, 0.020706216253703842, -0.07324120479202127, 0.02872812256459402, -0.10607571346065937, 0.10974032169667212, 0.2237722070023341, 0.14120777574214727, 0.2601972524178763, -0.39335940855440416, -0.19465333371632892, 0.11598537488177113, 0.12433133531706281, 0.07000478756397147, 0.03157485045304471, -0.25009553079582647, 0.06188388146724782, -0.12955482773744334, -0.1176093627335121, -0.02272880705207433, -0.038875224413222643, 0.049769029053157735, -0.28896468110408075, 0.07106926939641572, 0.05426666353133903, 0.0035073746965356067, -0.05980259836778963, -0.11760619507419992, -0.006118925377624492, 0.12057757694656922, 0.055880575481489655, 0.050931532206237064, 0.10474815061921891, -0.10666877183304105, -0.10904316786614451, 0.379170322450267, -0.08101816720062906, -0.18608230369624823, 0.0780096599602536, -0.11018286423744915, -0.10564236515137838, 0.16145737285546913, 0.14880118639629386, 0.13467614661442906, -0.15734828366859727, 0.023545174910894227, -0.04312517740827513, 0.18822734246081482, 0.08958722134471603, 0.018119833102028766, 0.19078978127480983, 0.15767760005498893, 0.06425139222498218, 0.18575200874578487, -0.17957470979547918, -0.021074356201857533, -0.351274785866374, -0.10296022731050122, -0.20929433820986074, 0.02343977775198666, -0.0979940994160867, -0.19597375156893715, 0.4143648003068536, 0.09222431842569415, 0.2514210136715731, 0.06024078438409336, 0.3136926755972513, 0.17813721546195194, 0.10771418737777037, 0.0020163850316599215, 0.2044387219157963, 0.09971593356410628, 0.04811130681917174, -0.20863622290477768, 0.060853041319355164, 0.06757293361532565] |
711.3688 | Regularity, Local and Microlocal Analysis in Theories of Generalized
Functions | We introduce a general context involving a presheaf A and a subpresheaf B of
A. We show that all previously considered cases of local analysis of
generalized functions (defined from duality or algebraic techniques) can be
interpretated as the B-local analysis of sections of A. But the microlocal
analysis of the sections of sheaves or presheaves under consideration is
dissociated into a "frequential microlocal analysis " and into a "microlocal
asymptotic analysis". The frequential microlocal analysis based on the Fourier
transform leads to the study of propagation of singularities under only linear
(including pseudodifferential) operators in the theories described here, but
has been extended to some non linear cases in classical theories involving
Sobolev techniques. The microlocal asymptotic analysis can inherit from the
algebraic structure of B some good properties with respect to nonlinear
operations.
| math.FA | we introduce a general context involving a presheaf a and a subpresheaf b of a we show that all previously considered cases of local analysis of generalized functions defined from duality or algebraic techniques can be interpretated as the blocal analysis of sections of a but the microlocal analysis of the sections of sheaves or presheaves under consideration is dissociated into a frequential microlocal analysis and into a microlocal asymptotic analysis the frequential microlocal analysis based on the fourier transform leads to the study of propagation of singularities under only linear including pseudodifferential operators in the theories described here but has been extended to some non linear cases in classical theories involving sobolev techniques the microlocal asymptotic analysis can inherit from the algebraic structure of b some good properties with respect to nonlinear operations | [['we', 'introduce', 'a', 'general', 'context', 'involving', 'a', 'presheaf', 'a', 'and', 'a', 'subpresheaf', 'b', 'of', 'a', 'we', 'show', 'that', 'all', 'previously', 'considered', 'cases', 'of', 'local', 'analysis', 'of', 'generalized', 'functions', 'defined', 'from', 'duality', 'or', 'algebraic', 'techniques', 'can', 'be', 'interpretated', 'as', 'the', 'blocal', 'analysis', 'of', 'sections', 'of', 'a', 'but', 'the', 'microlocal', 'analysis', 'of', 'the', 'sections', 'of', 'sheaves', 'or', 'presheaves', 'under', 'consideration', 'is', 'dissociated', 'into', 'a', 'frequential', 'microlocal', 'analysis', 'and', 'into', 'a', 'microlocal', 'asymptotic', 'analysis', 'the', 'frequential', 'microlocal', 'analysis', 'based', 'on', 'the', 'fourier', 'transform', 'leads', 'to', 'the', 'study', 'of', 'propagation', 'of', 'singularities', 'under', 'only', 'linear', 'including', 'pseudodifferential', 'operators', 'in', 'the', 'theories', 'described', 'here', 'but', 'has', 'been', 'extended', 'to', 'some', 'non', 'linear', 'cases', 'in', 'classical', 'theories', 'involving', 'sobolev', 'techniques', 'the', 'microlocal', 'asymptotic', 'analysis', 'can', 'inherit', 'from', 'the', 'algebraic', 'structure', 'of', 'b', 'some', 'good', 'properties', 'with', 'respect', 'to', 'nonlinear', 'operations']] | [-0.10569025832228363, 0.012663109205084655, -0.1808802901033425, 0.12532635285628424, -0.08039683116084868, -0.11807734684341332, 0.016415686403916246, 0.312243588776751, -0.29795560244273284, -0.18284230109059013, 0.1378720481253836, -0.2517673367346464, -0.15785651830391903, 0.21161815617586288, -0.07569464678861991, 0.05415545715103773, 0.05093225028196519, 0.05719402239121722, -0.1371000102513018, -0.18243717130319442, 0.3852548300655502, 0.005283100037944898, 0.26203938618401124, 0.03292869474072094, 0.05124420383380669, 0.054416193836721395, -0.07558833494796559, 0.03613886822591722, -0.12231262127197899, 0.1525704316569097, 0.25731194171715865, 0.11007936375222704, 0.24400652980495413, -0.4536955924704671, -0.22261007621912568, 0.09588886178663057, 0.14247999580799264, 0.0635299749697107, 0.015401789940590264, -0.31516234757322253, 0.09693015513193766, -0.1163921554107219, -0.11861138789611163, -0.13615281949574692, -0.03991911580757887, 0.054591851165186556, -0.2654454959119903, 0.038809135224613725, 0.12136329358415396, 0.1171718241618664, -0.0872234947217459, -0.07907268461139845, -0.03695559933442961, 0.04099971362544844, 0.0550842969695981, -0.021893798752871313, 0.10597599591975185, -0.09580265853384679, -0.10343538786312848, 0.3688036577253969, -0.06677232644605366, -0.22324500114579374, 0.16755253849304141, -0.1390824573629123, -0.1661023531183177, 0.09820555417558574, 0.14705192469850634, 0.16891446588631492, -0.10752337348381072, 0.1851612183003123, -0.06159721975652219, 0.11552295380864631, 0.08799166755158115, 0.0736598446705047, 0.09350176653683637, 0.11743898395533589, 0.04269555792261875, 0.13852555560791216, -0.02736674342480855, -0.09517634639191921, -0.3620372764540441, -0.15739955373150719, -0.07799445150621151, 0.12297939784581434, -0.06275877069349393, -0.21137887849754683, 0.4227422255684029, 0.0552657635571174, 0.19179777587255972, 0.04938845774582164, 0.2635937644147568, 0.1474849319563487, 0.06791513879293096, 0.021165857991119, 0.18544430943306492, 0.21533343208350494, 0.058495227617888966, -0.13548928138687077, 0.016326074657792396, 0.15295459967191247] |
711.3689 | The Age Distributions of Clusters and Field Stars in the Small
Magellanic Cloud -- Implications for Star Formation Histories | Differences between the inferred star formation histories (SFHs) of star
clusters and field stars seem to suggest distinct star formation processes for
the two. The Small Magellanic Cloud (SMC) is an example of a galaxy where such
a discrepancy is observed. We model the observed age distributions of the SMC
clusters and field stars using a new population synthesis code, SPACE, that
includes stellar evolution, infant mortality and cluster dissolution. We find
that the two observed age distributions can be explained by a single SFH, thus
eliminating the need to assume two separate mechanisms for star formation.
| astro-ph | differences between the inferred star formation histories sfhs of star clusters and field stars seem to suggest distinct star formation processes for the two the small magellanic cloud smc is an example of a galaxy where such a discrepancy is observed we model the observed age distributions of the smc clusters and field stars using a new population synthesis code space that includes stellar evolution infant mortality and cluster dissolution we find that the two observed age distributions can be explained by a single sfh thus eliminating the need to assume two separate mechanisms for star formation | [['differences', 'between', 'the', 'inferred', 'star', 'formation', 'histories', 'sfhs', 'of', 'star', 'clusters', 'and', 'field', 'stars', 'seem', 'to', 'suggest', 'distinct', 'star', 'formation', 'processes', 'for', 'the', 'two', 'the', 'small', 'magellanic', 'cloud', 'smc', 'is', 'an', 'example', 'of', 'a', 'galaxy', 'where', 'such', 'a', 'discrepancy', 'is', 'observed', 'we', 'model', 'the', 'observed', 'age', 'distributions', 'of', 'the', 'smc', 'clusters', 'and', 'field', 'stars', 'using', 'a', 'new', 'population', 'synthesis', 'code', 'space', 'that', 'includes', 'stellar', 'evolution', 'infant', 'mortality', 'and', 'cluster', 'dissolution', 'we', 'find', 'that', 'the', 'two', 'observed', 'age', 'distributions', 'can', 'be', 'explained', 'by', 'a', 'single', 'sfh', 'thus', 'eliminating', 'the', 'need', 'to', 'assume', 'two', 'separate', 'mechanisms', 'for', 'star', 'formation']] | [-0.060418332898125204, 0.12542165276854295, -0.1274984218372205, 0.1764133659733901, -0.10071419663343233, -0.023872836598569584, 0.06744347175237597, 0.4392531079806618, -0.22002335490908512, -0.3742740849973922, 0.012199221610946139, -0.2178400988143283, -0.036145770202208424, 0.1625193837026768, -0.0538755876069754, -0.08625610701778193, 0.12100563769603205, -0.07068193732693638, -0.006467389098858249, -0.30977893551120284, 0.3483707878604224, -0.010743143565031057, 0.15507504407354852, -0.05799031568710337, 0.06122057416269882, -0.12453791582188808, -0.060198085589007924, -0.026232235824638864, -0.17557087259864573, 0.03474356342207871, 0.21411167599558445, 0.18885321572384575, 0.22711219411036096, -0.3800869854839192, -0.2688603165281034, 0.06292749482543644, 0.2391759901782786, 0.0746356040604182, -0.14960905067027383, -0.22305049376619845, 0.04741719227521824, -0.21732972966406264, -0.12764630954923858, 0.08579326689857797, 0.05238024509492686, 0.035710854494233724, -0.29381354208273536, 0.15423499992280507, -0.002529545195074272, 0.08047108586455129, -0.12665100735564208, -0.09008510081462331, -0.06840902289913334, 0.14567575167346092, 0.003702482788285874, 0.07445153422874504, 0.1782383566107793, -0.14358271068902975, -0.05587076963184728, 0.3868279983145521, -0.058402891006781574, -0.01656522671932105, 0.23663143408316734, -0.20346918405926565, -0.190442437834116, 0.05057665106111936, 0.11875353507774393, 0.11279182990571272, -0.22610901829969024, -0.027727876868478225, 0.03735498568167929, 0.20034634355532446, 0.025987245843352116, -0.006027141271354679, 0.347518536017382, 0.14583120659502588, -0.006657775986541216, 0.09379417468078396, -0.21728325268426507, -0.15495542729916723, -0.2017807076041846, -0.09699279900409818, -0.10250716522988892, 0.0634397984885601, -0.16753802474869592, -0.1456392049290163, 0.2920977945521128, 0.06530581545756803, 0.2431324911150798, 0.061480183675213115, 0.2532358432534276, 0.06368188842526186, 0.14092690127028018, 0.10673918646097798, 0.20226342074534634, 0.17965961476912742, 0.010895306282897586, -0.3044040438181423, 0.18681979489983203, -0.0391141546232453] |
711.369 | Mechanisms of proton-proton inelastic cross-section growth in
multi-peripheral model within the framework of perturbation theory. Part 2 | We demonstrate a new technique for calculating proton-proton inelastic
cross-section, which allows one by application of the Laplace' method replace
the integrand in the integral for the scattering amplitude in the vicinity of
the maximum point by expression of Gaussian type. This in turn, allows one to
overcome the computational difficulties for the calculation of the integrals
expressing the cross section to sufficiently large numbers of particles. We
have managed to overcome these problems in calculating the proton-proton
inelastic cross-section for production (n \le 8) number of secondary particles
in within the framework of \phi^3 model. As the result the obtained dependence
of inelastic cross-section and total scattering cross-section on the energy
\sqrt{s} are qualitative agrees with the experimental data. Such description of
total cross-section behavior differs considerably from existing now
description, where reggeons exchange with the intercept greater than unity is
considered.
| nucl-th | we demonstrate a new technique for calculating protonproton inelastic crosssection which allows one by application of the laplace method replace the integrand in the integral for the scattering amplitude in the vicinity of the maximum point by expression of gaussian type this in turn allows one to overcome the computational difficulties for the calculation of the integrals expressing the cross section to sufficiently large numbers of particles we have managed to overcome these problems in calculating the protonproton inelastic crosssection for production n le 8 number of secondary particles in within the framework of phi3 model as the result the obtained dependence of inelastic crosssection and total scattering crosssection on the energy sqrts are qualitative agrees with the experimental data such description of total crosssection behavior differs considerably from existing now description where reggeons exchange with the intercept greater than unity is considered | [['we', 'demonstrate', 'a', 'new', 'technique', 'for', 'calculating', 'protonproton', 'inelastic', 'crosssection', 'which', 'allows', 'one', 'by', 'application', 'of', 'the', 'laplace', 'method', 'replace', 'the', 'integrand', 'in', 'the', 'integral', 'for', 'the', 'scattering', 'amplitude', 'in', 'the', 'vicinity', 'of', 'the', 'maximum', 'point', 'by', 'expression', 'of', 'gaussian', 'type', 'this', 'in', 'turn', 'allows', 'one', 'to', 'overcome', 'the', 'computational', 'difficulties', 'for', 'the', 'calculation', 'of', 'the', 'integrals', 'expressing', 'the', 'cross', 'section', 'to', 'sufficiently', 'large', 'numbers', 'of', 'particles', 'we', 'have', 'managed', 'to', 'overcome', 'these', 'problems', 'in', 'calculating', 'the', 'protonproton', 'inelastic', 'crosssection', 'for', 'production', 'n', 'le', '8', 'number', 'of', 'secondary', 'particles', 'in', 'within', 'the', 'framework', 'of', 'phi3', 'model', 'as', 'the', 'result', 'the', 'obtained', 'dependence', 'of', 'inelastic', 'crosssection', 'and', 'total', 'scattering', 'crosssection', 'on', 'the', 'energy', 'sqrts', 'are', 'qualitative', 'agrees', 'with', 'the', 'experimental', 'data', 'such', 'description', 'of', 'total', 'crosssection', 'behavior', 'differs', 'considerably', 'from', 'existing', 'now', 'description', 'where', 'reggeons', 'exchange', 'with', 'the', 'intercept', 'greater', 'than', 'unity', 'is', 'considered']] | [-0.08899240552161175, 0.11690304251192334, -0.08615961638800279, 0.09956267743104405, -0.03684045858453256, -0.07439100863802788, 0.0204241693824191, 0.287894504548578, -0.23794248739869653, -0.33603615414064664, -8.284397687033548e-05, -0.3442533212875495, -0.06058134590731478, 0.22626569206253266, 0.030901968020007952, 0.08276711120042246, 0.07965077870766392, 0.054568485998372725, -0.022697111109753587, -0.22522754940510423, 0.31510525653985416, 0.05092981525442817, 0.2619686600901968, 0.13227114546392765, 0.07264721654176426, 0.1342419693099947, -0.04834354648462633, -0.0147161409551916, -0.1362823948159918, 0.14554613610970546, 0.2557810831455175, 0.04416490098220537, 0.1629011229566344, -0.41687628969393825, -0.14437482877263239, 0.10735164408350585, 0.17924833402503282, 0.09015954432641059, -0.0010626790695009635, -0.2242838675481873, 0.08176140544506219, -0.2029288748891412, -0.17839531082630652, -0.047577742982160796, 0.011599915017458525, -0.0022868043596537173, -0.26848259666231233, 0.0872106510996037, -0.01694623650527084, 0.0193973384761753, -0.0637309738895628, -0.16928547074679623, -0.011096551972018047, 0.039553244910007536, 0.08512210903015197, 0.006907173126310735, 0.12439014499199454, -0.16957377753598238, -0.11504016356164967, 0.34584912668158124, -0.046112102815507705, -0.18609446809477323, 0.12376412887523484, -0.18028692752318262, -0.1053821333420261, 0.21504545166202776, 0.19014799590483047, 0.11324513663124242, -0.1928445626558228, 0.11764425489607012, 0.0030113830022722274, 0.13937019117740698, 0.11942388537222637, 0.0005748025068388014, 0.13130396831995592, 0.19225854531966047, 0.006641891489857221, 0.10965465203943578, -0.14143367268477233, -0.12257430494040042, -0.3683239472704334, -0.13802899080947353, -0.16237532783794653, 0.053888136576340125, -0.09624432708562915, -0.12220485588223055, 0.2942621682516553, 0.1316253902371061, 0.276672400149901, 0.06129904692565983, 0.3307729754466694, 0.1789495721487882, 0.08484777423611783, 0.025545569446094176, 0.2592403775706262, 0.16134135455375057, 0.1132141716478692, -0.21329104370873916, 0.05475457759787348, 0.06956577125639196] |
711.3691 | Outilex, plate-forme logicielle de traitement de textes \'ecrits | The Outilex software platform, which will be made available to research,
development and industry, comprises software components implementing all the
fundamental operations of written text processing: processing without lexicons,
exploitation of lexicons and grammars, language resource management. All data
are structured in XML formats, and also in more compact formats, either
readable or binary, whenever necessary; the required format converters are
included in the platform; the grammar formats allow for combining statistical
approaches with resource-based approaches. Manually constructed lexicons for
French and English, originating from the LADL, and of substantial coverage,
will be distributed with the platform under LGPL-LR license.
| cs.CL | the outilex software platform which will be made available to research development and industry comprises software components implementing all the fundamental operations of written text processing processing without lexicons exploitation of lexicons and grammars language resource management all data are structured in xml formats and also in more compact formats either readable or binary whenever necessary the required format converters are included in the platform the grammar formats allow for combining statistical approaches with resourcebased approaches manually constructed lexicons for french and english originating from the ladl and of substantial coverage will be distributed with the platform under lgpllr license | [['the', 'outilex', 'software', 'platform', 'which', 'will', 'be', 'made', 'available', 'to', 'research', 'development', 'and', 'industry', 'comprises', 'software', 'components', 'implementing', 'all', 'the', 'fundamental', 'operations', 'of', 'written', 'text', 'processing', 'processing', 'without', 'lexicons', 'exploitation', 'of', 'lexicons', 'and', 'grammars', 'language', 'resource', 'management', 'all', 'data', 'are', 'structured', 'in', 'xml', 'formats', 'and', 'also', 'in', 'more', 'compact', 'formats', 'either', 'readable', 'or', 'binary', 'whenever', 'necessary', 'the', 'required', 'format', 'converters', 'are', 'included', 'in', 'the', 'platform', 'the', 'grammar', 'formats', 'allow', 'for', 'combining', 'statistical', 'approaches', 'with', 'resourcebased', 'approaches', 'manually', 'constructed', 'lexicons', 'for', 'french', 'and', 'english', 'originating', 'from', 'the', 'ladl', 'and', 'of', 'substantial', 'coverage', 'will', 'be', 'distributed', 'with', 'the', 'platform', 'under', 'lgpllr', 'license']] | [-0.09066872008159257, 0.04182192963096745, -0.023490568430921465, 0.044994367358572394, -0.1692039522860852, -0.19934668335295522, 0.03506236860154139, 0.4605425886771421, -0.27612260289336604, -0.3395159151213071, 0.11801343063161392, -0.2863125704785751, -0.05396879894764537, 0.27533608396326376, -0.09636253719554119, 0.06648014512719568, 0.14895065765847096, 0.003881773707389678, -0.04015192454056718, -0.2587970073800534, 0.25489445323647797, 0.04377852160406789, 0.37684837001923127, -0.025524217758409334, 0.027212015469558537, -0.017156743766144684, -0.11454560519820176, -0.07135557583005157, -0.03516011069932012, 0.21232807495842507, 0.4324549955037451, 0.3215612440763675, 0.26549026924041436, -0.47280981126673444, -0.1222168731733619, 0.010049603699428058, 0.10767258334360037, 0.0839186402640219, -0.04308696970005745, -0.3303503919568047, 0.0681213161610451, -0.23876377747192518, 0.024874293053349882, -0.1458205134612652, 0.010936183850136921, 0.020274721652499793, -0.25344512214975373, -0.0540034941318997, 0.0814373088789355, 0.14318418107715616, -0.02567716383197604, -0.15243760897710765, -0.02186716204393924, 0.18667953766008705, 0.0036422021485404254, 0.026225495147374794, 0.11629749829256811, -0.1371806218533671, -0.14627767793507768, 0.44676299449344425, -0.013879288835258982, -0.2333969528566009, 0.16474678381778224, -0.0025953103634576823, -0.1893050513913154, 0.060393990636755206, 0.2067183496132877, 0.0012691837072986917, -0.24045998099039204, 0.09145294137229451, 0.07990557480526646, 0.27110649535874115, 0.13472550072390393, 0.0449208531663129, 0.2358760369135086, 0.2012003823039458, -0.033241204507651945, 0.14390211288586796, 0.008776223930271016, -0.03133866916765872, -0.23902394886599065, -0.13719738843207507, -0.11754762336429324, -0.04397971645842508, -0.04521843899607289, -0.1978203012684802, 0.3177043554209864, 0.15357746957734073, -0.006307601347834486, 0.02843331270155103, 0.37626824858262364, -0.022154282588876553, 0.17474496183369653, 0.14887145673136046, 0.06604820079909465, -0.018187574187735308, 0.22323091612941556, -0.04195276132998412, 0.08871581550380311, -0.02305508517304954] |
711.3692 | A Short Proof of a Known Relation for Consecutive Power Sums | We give a new short proof of the most simple relation between consecutive
power sums of the first m positive integers.
| math.CA math.NT | we give a new short proof of the most simple relation between consecutive power sums of the first m positive integers | [['we', 'give', 'a', 'new', 'short', 'proof', 'of', 'the', 'most', 'simple', 'relation', 'between', 'consecutive', 'power', 'sums', 'of', 'the', 'first', 'm', 'positive', 'integers']] | [-0.2712129443617804, 0.10033944049584013, -0.09829810385902722, 0.04821507011850675, -0.10479090216436557, -0.17448104206206544, 0.05443010958177703, 0.28512829009975704, -0.3023739037425479, -0.2702722712641671, -0.019281109817148673, -0.26554640914712635, -0.17397625229897953, 0.23908159481583252, -0.032377793143192925, -0.0435080646393111, 0.018521807200851895, 0.04348153922529448, -0.09598242748706114, -0.29901142365166117, 0.3119942521055539, -0.04299279914370605, 0.14267261681102572, 0.09647130216693595, 0.11480286557759557, 0.029385234317964033, -0.08036047495192006, -0.0582826580142691, -0.1836066920576351, 0.13864591130099835, 0.21860400219226167, 0.14216732442201602, 0.3242938798807916, -0.42789820581674576, -0.026269733307084868, 0.19848513186332725, 0.09007596240068476, 0.010401820497853416, -0.07235700495186306, -0.1661553086624259, 0.12692950617167212, -0.16741920661713397, -0.03230569116948616, -0.02484304697385856, 0.14468227486525262, 0.11362637978579317, -0.24123380865369523, 0.0729087680533883, 0.1538695583031291, 0.1239701531206568, 0.00827984340001075, -0.1889543224658285, 0.10957743486921702, 0.16348386606911108, 0.046106982843152115, -0.06375589499449623, -0.08493621671749722, 0.006417311728000641, -0.11214294488586131, 0.2962241414047423, -0.10921040295423674, -0.11663430130907468, 0.13695329498677028, -0.16797870428611836, -0.1564190299028442, 0.10325339312354724, 0.10400919607352643, 0.19055613307725816, -0.08568248846789911, 0.027647427061483973, -0.14236127443256832, 0.1858128584211781, 0.15594081820121833, 0.031079708376810664, 0.2691004831964771, 0.0840418432794866, 0.09992978553332034, 0.15415996907367593, 0.0016212876708734604, 0.01819987211465126, -0.42362219622979563, -0.18725994956635295, -0.23247317473093668, 0.16429264967640242, -0.17206413396412418, -0.18204547455977826, 0.40188165683121907, 0.05443573432664076, 0.26808176154182073, 0.2258395112252661, 0.2854524426871822, 0.1436871241423346, -0.010980368658368076, 0.035729222886619116, 0.08249863698368981, 0.19495826303249314, 0.03668632438140256, -0.11413978501444771, -0.013825960723417146, 0.19585598572822555] |
711.3693 | Old stellar counter-rotating components in elliptical-spiral mergers:
exploring the GalMer database | We investigate, by means of numerical simulations, the kinematics of
elliptical-spiral merger remnants. Counterrotation can appear both in coplanar
and in non-coplanar retrograde mergers, and it is mostly associated to the
presence of a disk component, which preserves part of its initial spin. In
turn, the external regions of the two interacting galaxies acquire part of the
orbital angular momentum, due to the action of tidal forces.
| astro-ph | we investigate by means of numerical simulations the kinematics of ellipticalspiral merger remnants counterrotation can appear both in coplanar and in noncoplanar retrograde mergers and it is mostly associated to the presence of a disk component which preserves part of its initial spin in turn the external regions of the two interacting galaxies acquire part of the orbital angular momentum due to the action of tidal forces | [['we', 'investigate', 'by', 'means', 'of', 'numerical', 'simulations', 'the', 'kinematics', 'of', 'ellipticalspiral', 'merger', 'remnants', 'counterrotation', 'can', 'appear', 'both', 'in', 'coplanar', 'and', 'in', 'noncoplanar', 'retrograde', 'mergers', 'and', 'it', 'is', 'mostly', 'associated', 'to', 'the', 'presence', 'of', 'a', 'disk', 'component', 'which', 'preserves', 'part', 'of', 'its', 'initial', 'spin', 'in', 'turn', 'the', 'external', 'regions', 'of', 'the', 'two', 'interacting', 'galaxies', 'acquire', 'part', 'of', 'the', 'orbital', 'angular', 'momentum', 'due', 'to', 'the', 'action', 'of', 'tidal', 'forces']] | [-0.2335502200594012, 0.13308121141310392, -0.06803843430451938, 0.06186023442276212, -0.09171040231056178, 0.019033042283089302, -0.051699486575019896, 0.3711945964440481, -0.2160842337423185, -0.31377561640606, 0.05397851745174058, -0.26133175946619197, -0.07621296037878118, 0.16188343518427503, 0.00973736870088684, -0.04992767946130888, 0.07692951027220532, -0.04021190604500806, -0.06177741066733403, -0.2189861272406111, 0.3435923019563084, 0.04518666522883212, 0.10835464087092499, -0.04096222308867458, 0.10827464519291004, -0.027031424232939288, -0.05418693384072229, -0.027398057893585803, -0.08104061831567269, 0.04478048463699533, 0.18963771927128756, 0.033787083937161004, 0.21948887006059956, -0.43335066388236054, -0.13737746184941993, 0.06638270332443236, 0.21023850584986495, 0.09427655039966773, -0.05452274051564398, -0.2752267528992535, 0.05419698742621425, -0.2440494197462477, -0.20472320795420612, -0.0276703890830056, 0.038931041177529005, 0.012626904591139573, -0.227024734673549, 0.1553435224984119, 0.1382073449916137, 0.036306310306066895, -0.11361898978956655, -0.03170991691746818, -0.12987594978550254, 0.08918785896159208, 0.10033753580663965, 0.06620489900459105, 0.2104962753521195, -0.16080489906538, -0.06851618640722512, 0.4126798238660862, -0.0076496875514762835, -0.16962489114601664, 0.2711812864029919, -0.2428514109437924, -0.08566053090756064, 0.1555308371003884, 0.18909177995884596, 0.09926070224966353, -0.10921385278230283, 0.027126856897123602, 0.0006860051123397564, 0.1214953977197631, 0.06204976112262082, 0.03213847614824772, 0.3609054006858548, 0.06651484513127093, 0.03545927377973697, 0.14496938963142683, -0.17356048796218193, -0.12402956485887294, -0.22037130496951182, -0.10349251488362675, -0.16513999776720112, 0.04438166932286278, -0.0858343791458999, -0.13134046131049965, 0.3672406187962129, 0.11386799516239718, 0.2224488672800362, -0.053334889469543165, 0.31787144220364627, 0.06192454303712098, 0.10038242513425093, 0.08723936290410694, 0.3279868587469265, 0.19813852346113034, 0.03894023274752631, -0.323960737443404, 0.06975907778085919, 0.008498677323614038] |
711.3694 | Maximum Principle for Linear-Convex Boundary Control Problems applied to
Optimal Investment with Vintage Capital | The paper concerns the study of the Pontryagin Maximum Principle for an
infinite dimensional and infinite horizon boundary control problem for linear
partial differential equations. The optimal control model has already been
studied both in finite and infinite horizon with Dynamic Programming methods in
a series of papers by the same author, or by Faggian and Gozzi. Necessary and
sufficient optimality conditions for open loop controls are established.
Moreover the co-state variable is shown to coincide with the spatial gradient
of the value function evaluated along the trajectory of the system, creating a
parallel between Maximum Principle and Dynamic Programming. The abstract model
applies, as recalled in one of the first sections, to optimal investment with
vintage capital.
| math.OC | the paper concerns the study of the pontryagin maximum principle for an infinite dimensional and infinite horizon boundary control problem for linear partial differential equations the optimal control model has already been studied both in finite and infinite horizon with dynamic programming methods in a series of papers by the same author or by faggian and gozzi necessary and sufficient optimality conditions for open loop controls are established moreover the costate variable is shown to coincide with the spatial gradient of the value function evaluated along the trajectory of the system creating a parallel between maximum principle and dynamic programming the abstract model applies as recalled in one of the first sections to optimal investment with vintage capital | [['the', 'paper', 'concerns', 'the', 'study', 'of', 'the', 'pontryagin', 'maximum', 'principle', 'for', 'an', 'infinite', 'dimensional', 'and', 'infinite', 'horizon', 'boundary', 'control', 'problem', 'for', 'linear', 'partial', 'differential', 'equations', 'the', 'optimal', 'control', 'model', 'has', 'already', 'been', 'studied', 'both', 'in', 'finite', 'and', 'infinite', 'horizon', 'with', 'dynamic', 'programming', 'methods', 'in', 'a', 'series', 'of', 'papers', 'by', 'the', 'same', 'author', 'or', 'by', 'faggian', 'and', 'gozzi', 'necessary', 'and', 'sufficient', 'optimality', 'conditions', 'for', 'open', 'loop', 'controls', 'are', 'established', 'moreover', 'the', 'costate', 'variable', 'is', 'shown', 'to', 'coincide', 'with', 'the', 'spatial', 'gradient', 'of', 'the', 'value', 'function', 'evaluated', 'along', 'the', 'trajectory', 'of', 'the', 'system', 'creating', 'a', 'parallel', 'between', 'maximum', 'principle', 'and', 'dynamic', 'programming', 'the', 'abstract', 'model', 'applies', 'as', 'recalled', 'in', 'one', 'of', 'the', 'first', 'sections', 'to', 'optimal', 'investment', 'with', 'vintage', 'capital']] | [-0.13042477120601187, 0.06019787545476996, -0.07448900643543437, 0.0741298431982206, -0.09213734728260094, -0.15198657961144788, 0.035119586482700284, 0.33418354616853696, -0.29940766381934797, -0.2922951946645204, 0.19988234745085656, -0.2331560808635349, -0.10283745388030717, 0.18348113075099437, -0.08929589287988071, 0.14458542587767467, 0.029517543690825074, 0.07468000105542034, -0.0653853156957133, -0.2569934886826026, 0.33011170624402064, 0.030445256334697378, 0.2795967146641864, 0.06313012046879961, 0.20779220942520246, 0.03468357921569962, -0.021651720674307054, 0.08210028341473562, -0.14609823624627535, 0.11130949479310998, 0.29034752261439534, 0.12259289929772485, 0.3330966522636149, -0.4158029900964125, -0.1863372107116698, 0.06363977474995472, 0.08588858423473571, 0.08940587098035833, 0.006582986575487102, -0.2408423072393534, 0.08912505696784577, -0.14843289304629032, -0.14419030832479998, -0.007465288640152471, 0.025427347482663804, 0.029841514336896642, -0.2826519468718947, 0.05149763594542084, 0.05681148665186403, 0.07694962705638067, -0.12132647831458598, -0.09052836721068537, -0.030686111976231993, 0.1173879057610536, 0.06309151899366608, -0.018700015837535392, 0.055818729202969576, -0.07947597346863969, -0.17815047854975122, 0.3246721923913293, -0.06063388073455606, -0.21644290928439847, 0.13637333814905764, -0.12625321513041854, -0.10276253827534423, 0.10948467341147299, 0.17610270885654308, 0.14890533033758402, -0.18847726096383072, 0.1246450246840611, -0.03198210486303212, 0.12166689740040275, 0.09113134173596085, -0.021058801774353045, 0.1406974409933198, 0.14580016681956576, 0.16731206375045765, 0.17831742690458638, 0.009954977878931397, -0.16878596418697772, -0.3368600965638099, -0.16759177148020987, -0.13499459939314343, -0.019226765868270063, -0.10141870022035336, -0.1675316003110593, 0.3429562080940553, 0.11476284696305059, 0.15041557921032453, 0.07606712100096047, 0.27265613806305516, 0.18154354613717918, 0.037242881086622846, 0.10311382237002896, 0.2031209719375354, 0.14735421846452137, 0.1303262919717436, -0.24465071969135696, 0.0906197948397362, 0.1059121256011763] |
711.3695 | Standard Cosmological Evolution in a Wide Range of f(R) Models | Using techniques from singular perturbation theory, we explicitly calculate
the cosmological evolution in a class of modified gravity models. By
considering the (m)CDTT model, which aims to explain the current acceleration
of the universe with a modification of gravity, we show that Einstein evolution
can be recovered for most of cosmic history in at least one f(R) model. We show
that a standard epoch of matter domination can be obtained in the mCDTT model,
providing a sufficiently long epoch to satisfy observations. We note that the
additional inverse term will not significantly alter standard evolution until
today and that the solution lies well within present constraints from Big Bang
Nucleosynthesis. For the CDTT model, we analyse the ``recent radiation epoch''
behaviour (a \propto t^{1/2}) found by previous authors. We finally generalise
our findings to the class of inverse power-law models. Even in this class of
models, we expect a standard cosmological evolution, with a sufficient matter
domination era, although the sign of the additional term is crucial.
| astro-ph | using techniques from singular perturbation theory we explicitly calculate the cosmological evolution in a class of modified gravity models by considering the mcdtt model which aims to explain the current acceleration of the universe with a modification of gravity we show that einstein evolution can be recovered for most of cosmic history in at least one fr model we show that a standard epoch of matter domination can be obtained in the mcdtt model providing a sufficiently long epoch to satisfy observations we note that the additional inverse term will not significantly alter standard evolution until today and that the solution lies well within present constraints from big bang nucleosynthesis for the cdtt model we analyse the recent radiation epoch behaviour a propto t12 found by previous authors we finally generalise our findings to the class of inverse powerlaw models even in this class of models we expect a standard cosmological evolution with a sufficient matter domination era although the sign of the additional term is crucial | [['using', 'techniques', 'from', 'singular', 'perturbation', 'theory', 'we', 'explicitly', 'calculate', 'the', 'cosmological', 'evolution', 'in', 'a', 'class', 'of', 'modified', 'gravity', 'models', 'by', 'considering', 'the', 'mcdtt', 'model', 'which', 'aims', 'to', 'explain', 'the', 'current', 'acceleration', 'of', 'the', 'universe', 'with', 'a', 'modification', 'of', 'gravity', 'we', 'show', 'that', 'einstein', 'evolution', 'can', 'be', 'recovered', 'for', 'most', 'of', 'cosmic', 'history', 'in', 'at', 'least', 'one', 'fr', 'model', 'we', 'show', 'that', 'a', 'standard', 'epoch', 'of', 'matter', 'domination', 'can', 'be', 'obtained', 'in', 'the', 'mcdtt', 'model', 'providing', 'a', 'sufficiently', 'long', 'epoch', 'to', 'satisfy', 'observations', 'we', 'note', 'that', 'the', 'additional', 'inverse', 'term', 'will', 'not', 'significantly', 'alter', 'standard', 'evolution', 'until', 'today', 'and', 'that', 'the', 'solution', 'lies', 'well', 'within', 'present', 'constraints', 'from', 'big', 'bang', 'nucleosynthesis', 'for', 'the', 'cdtt', 'model', 'we', 'analyse', 'the', 'recent', 'radiation', 'epoch', 'behaviour', 'a', 'propto', 't12', 'found', 'by', 'previous', 'authors', 'we', 'finally', 'generalise', 'our', 'findings', 'to', 'the', 'class', 'of', 'inverse', 'powerlaw', 'models', 'even', 'in', 'this', 'class', 'of', 'models', 'we', 'expect', 'a', 'standard', 'cosmological', 'evolution', 'with', 'a', 'sufficient', 'matter', 'domination', 'era', 'although', 'the', 'sign', 'of', 'the', 'additional', 'term', 'is', 'crucial']] | [-0.08602336437413187, 0.1072676275038358, -0.13323412624780429, 0.11043505403354312, -0.08590698734800699, -0.11324105644598603, -0.029095841173054367, 0.3109781825124766, -0.2646996973795026, -0.3311016366337285, 0.09411973965241376, -0.2612935956567526, -0.13063231568049752, 0.16197463152012928, -0.024832034017890692, -0.00663904253830851, 0.05468567303297195, 0.023556157235394826, -0.05435867322411275, -0.2641236632046374, 0.3339401762114104, 0.10438327068237192, 0.18366774932453125, 0.011947598280102917, 0.07538895828254295, -0.07007980613306052, -0.05074468326021099, 0.0563985533927652, -0.17941736448503268, 0.048320839611220766, 0.17779792541738115, 0.16158151811722554, 0.2337502373156674, -0.4429825438807408, -0.2820818813658799, 0.15235632874184485, 0.15043199246354175, 0.16189624747247294, -0.06688301547740896, -0.22422582043659395, 0.0797107229460821, -0.2049966112823423, -0.13817195780010838, -0.019435139813206413, -0.005965425308342233, -0.018862927978449136, -0.25925758176828934, 0.11290208615687196, 0.032426937850841296, -0.04763555482901266, -0.08658242624422366, -0.07110131845640189, 0.029830327491755737, 0.05629766315052455, 0.08493606391165293, 0.026991539039282184, 0.0998418837447058, -0.17632919515652412, -0.07912115938432346, 0.3985715508531553, -0.1809240640906589, -0.09699482749583144, 0.15381187254732306, -0.18338017749007451, -0.18268488774245437, 0.05807650991941266, 0.12517361606146687, 0.10487551763089317, -0.14251291146784117, 0.1359003721394181, 0.015822123451101962, 0.17794182346851536, 0.04333073347383602, -0.01170744729425871, 0.2730020880812045, 0.16012757773313557, 0.014267375094420982, 0.07884666526153909, -0.043813939839883735, -0.0893531340146155, -0.3553968536074866, -0.11379096362965577, -0.14087998863366066, 0.08638656526163686, -0.11061799010027298, -0.13504850293269777, 0.3872111307795752, 0.20120196586164335, 0.1913394205977745, 0.09165757859450285, 0.257163493885574, 0.10305902328744361, 0.06007680395110087, 0.08608160404149781, 0.2933134505052515, 0.0945977157221712, 0.1188376351203205, -0.2066736488285559, 0.05833054805442578, 0.0663945073840406] |
711.3696 | A deep XMM-Newton survey of M 31 | The deep homogeneous survey of the large Local-Group spiral galaxy M 31 is a
milestone project for X-ray astronomy, as it allows a detailed X-ray inventory
of an archetypal low-star-formation-rate galaxy like our own. We present first
results of the deep XMM-Newton survey, which covers the entire D 25 ellipse.
Information from different X-ray energy bands are combined in an X-ray colour
image of M 31. In the first 15 observations we found about 1000 sources, the
full survey will yield about 2000 X-ray sources. Sources will be classified
using hardness ratios, extent, high quality spectra and time variability. In
addition the sources will be correlated with catalogues in optical, infra-red
and radio wavelengths. Our goal is to study M 31 X-ray binaries and globular
cluster sources, supersoft sources, supernova remnants and the hot interstellar
medium and separate them from foreground stars and background objects.
| astro-ph | the deep homogeneous survey of the large localgroup spiral galaxy m 31 is a milestone project for xray astronomy as it allows a detailed xray inventory of an archetypal lowstarformationrate galaxy like our own we present first results of the deep xmmnewton survey which covers the entire d 25 ellipse information from different xray energy bands are combined in an xray colour image of m 31 in the first 15 observations we found about 1000 sources the full survey will yield about 2000 xray sources sources will be classified using hardness ratios extent high quality spectra and time variability in addition the sources will be correlated with catalogues in optical infrared and radio wavelengths our goal is to study m 31 xray binaries and globular cluster sources supersoft sources supernova remnants and the hot interstellar medium and separate them from foreground stars and background objects | [['the', 'deep', 'homogeneous', 'survey', 'of', 'the', 'large', 'localgroup', 'spiral', 'galaxy', 'm', '31', 'is', 'a', 'milestone', 'project', 'for', 'xray', 'astronomy', 'as', 'it', 'allows', 'a', 'detailed', 'xray', 'inventory', 'of', 'an', 'archetypal', 'lowstarformationrate', 'galaxy', 'like', 'our', 'own', 'we', 'present', 'first', 'results', 'of', 'the', 'deep', 'xmmnewton', 'survey', 'which', 'covers', 'the', 'entire', 'd', '25', 'ellipse', 'information', 'from', 'different', 'xray', 'energy', 'bands', 'are', 'combined', 'in', 'an', 'xray', 'colour', 'image', 'of', 'm', '31', 'in', 'the', 'first', '15', 'observations', 'we', 'found', 'about', '1000', 'sources', 'the', 'full', 'survey', 'will', 'yield', 'about', '2000', 'xray', 'sources', 'sources', 'will', 'be', 'classified', 'using', 'hardness', 'ratios', 'extent', 'high', 'quality', 'spectra', 'and', 'time', 'variability', 'in', 'addition', 'the', 'sources', 'will', 'be', 'correlated', 'with', 'catalogues', 'in', 'optical', 'infrared', 'and', 'radio', 'wavelengths', 'our', 'goal', 'is', 'to', 'study', 'm', '31', 'xray', 'binaries', 'and', 'globular', 'cluster', 'sources', 'supersoft', 'sources', 'supernova', 'remnants', 'and', 'the', 'hot', 'interstellar', 'medium', 'and', 'separate', 'them', 'from', 'foreground', 'stars', 'and', 'background', 'objects']] | [-0.04347355878983055, 0.06921748100305397, -0.08311917048316293, 0.12035952332694756, -0.13359527422451517, -0.019674288771865476, 0.07622571271106911, 0.47778460215259755, -0.1659513033842409, -0.3832580342358496, 0.098668912697273, -0.3797646053023224, -0.0232443383012853, 0.21778388228590806, -0.03940719080209318, -0.02120105039971855, 0.07495158735966673, -0.1258872866552944, -0.014376112033561286, -0.29834736126132255, 0.27070737650824916, 0.09542784293646239, 0.1887648408430525, -0.06361743094102065, 0.07681225686428661, -0.047545458374467366, -0.15245438461554134, -0.029739031425884202, -0.09686088304119443, 0.04885660082800314, 0.30167736790836996, 0.14692749385721982, 0.18372689636614975, -0.33721925093494876, -0.22082834399124193, 0.038759634005449094, 0.17985775536686155, 0.017503292542338993, -0.03262640080518193, -0.27777616222414914, 0.04399803558933652, -0.1684394224907414, -0.17069745092562194, 0.05785422310792557, 0.03825166535615507, 0.053365474629875585, -0.15876678938447084, 0.08498081860226295, -0.018388661031672707, 0.08219357742927969, -0.16913403151435583, -0.11521578995355715, 0.01790314270894871, 0.11634054161064948, -0.03991009215800053, 0.08644405780554128, 0.1391329210996951, -0.14057454478461295, -0.06162732420327504, 0.4034961129590455, -0.06584079779471115, 0.05423573969488239, 0.19489911783926395, -0.19177394644874665, -0.2161280993896071, 0.18408807470162478, 0.15944479995070854, 0.12728406018868554, -0.21270268900682116, -0.005680770858210356, -0.017568297412556905, 0.2677314586730467, 0.04926263968809508, 0.10079283268800686, 0.33333521844663966, 0.12008195739569298, 0.02679303510295641, 0.1554768937187166, -0.277547792653018, 0.04560178885650304, -0.2515489424371885, -0.06510094227269292, -0.12392594719939451, 0.13573196521934328, -0.12370037795436575, -0.08581694973286681, 0.33062022434508737, 0.09711849210887319, 0.14823269976315917, -0.008001058706011262, 0.3065195992692477, 0.013135462380887475, 0.05950435970508908, 0.10895425727681464, 0.29490194391433355, 0.14481905356741562, 0.13468103946393561, -0.1441670505899108, -0.023742105850639444, -0.05448416085144143] |
711.3697 | An asteroseismic study of the Delta Scuti star 44 Tau | In this paper we investigate theoretical pulsation models for the delta Scuti
star 44 Tau. The star was monitored during several multisite campaigns which
confirmed the presence of radial and nonradial oscillations. Moreover, its
exceptionally low rotational velocity makes 44 Tau particulary interesting for
an asteroseismic study. Due to the measured log g value of 3.6 +/- 0.1, main
sequence and post-main sequence models have to be considered. We perform mode
identification based on photometric and spectroscopic data. A nonadiabatic
pulsation code is used to compute models that fit the identified modes. The
influence of different opacity tables and element mixtures on the results is
tested. The observed frequencies of 44 Tau can be fitted in both the main
sequence and the post-main sequence evolutionary stage. Post-main sequence
models are preferable as they fulfill almost all observational constraints (fit
of observed frequencies, position in the HRD and instability range). These
models can be obtained with normal chemical composition which is in agreement
with recent spectroscopic measurements. The efficiency of envelope convection
(in the framework of the mixing-length theory) is predicted to be very low in
44 Tau. We show that the results are sensitive to the choice between the OPAL
and OP opacities. While the pulsation models of 44 Tau computed with OP
opacities are considerably too cool and too faint, the use of OPAL opacities
results in models within the expected temperature and luminosity range.
| astro-ph | in this paper we investigate theoretical pulsation models for the delta scuti star 44 tau the star was monitored during several multisite campaigns which confirmed the presence of radial and nonradial oscillations moreover its exceptionally low rotational velocity makes 44 tau particulary interesting for an asteroseismic study due to the measured log g value of 36 01 main sequence and postmain sequence models have to be considered we perform mode identification based on photometric and spectroscopic data a nonadiabatic pulsation code is used to compute models that fit the identified modes the influence of different opacity tables and element mixtures on the results is tested the observed frequencies of 44 tau can be fitted in both the main sequence and the postmain sequence evolutionary stage postmain sequence models are preferable as they fulfill almost all observational constraints fit of observed frequencies position in the hrd and instability range these models can be obtained with normal chemical composition which is in agreement with recent spectroscopic measurements the efficiency of envelope convection in the framework of the mixinglength theory is predicted to be very low in 44 tau we show that the results are sensitive to the choice between the opal and op opacities while the pulsation models of 44 tau computed with op opacities are considerably too cool and too faint the use of opal opacities results in models within the expected temperature and luminosity range | [['in', 'this', 'paper', 'we', 'investigate', 'theoretical', 'pulsation', 'models', 'for', 'the', 'delta', 'scuti', 'star', '44', 'tau', 'the', 'star', 'was', 'monitored', 'during', 'several', 'multisite', 'campaigns', 'which', 'confirmed', 'the', 'presence', 'of', 'radial', 'and', 'nonradial', 'oscillations', 'moreover', 'its', 'exceptionally', 'low', 'rotational', 'velocity', 'makes', '44', 'tau', 'particulary', 'interesting', 'for', 'an', 'asteroseismic', 'study', 'due', 'to', 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711.3698 | Some results on ideal impacts of billiard balls | We analyze the impact of two equal billiard balls in three ideal situations:
when the balls freely slide on the plane of the billiard, when they roll
without sliding and when one of them freely slides and the other rolls. In all
the cases we suppose that the contact between the balls is smooth. We base our
analysis on some recent general theoretical results on ideal impacts obtained
by means of Differential Geometric Impulsive Mechanics. We use symbolic
computation software to solve the computational difficulties arising by the
high number of degrees of freedom of the system. Some particular but
significative impacts, with opportunely assigned left velocities and positions
of the balls, are analyzed in details. The results admit easy interpretations
that turn out to be in good agreement with the reasonable forecasts and the
behaviours of real systems.
| physics.class-ph | we analyze the impact of two equal billiard balls in three ideal situations when the balls freely slide on the plane of the billiard when they roll without sliding and when one of them freely slides and the other rolls in all the cases we suppose that the contact between the balls is smooth we base our analysis on some recent general theoretical results on ideal impacts obtained by means of differential geometric impulsive mechanics we use symbolic computation software to solve the computational difficulties arising by the high number of degrees of freedom of the system some particular but significative impacts with opportunely assigned left velocities and positions of the balls are analyzed in details the results admit easy interpretations that turn out to be in good agreement with the reasonable forecasts and the behaviours of real systems | [['we', 'analyze', 'the', 'impact', 'of', 'two', 'equal', 'billiard', 'balls', 'in', 'three', 'ideal', 'situations', 'when', 'the', 'balls', 'freely', 'slide', 'on', 'the', 'plane', 'of', 'the', 'billiard', 'when', 'they', 'roll', 'without', 'sliding', 'and', 'when', 'one', 'of', 'them', 'freely', 'slides', 'and', 'the', 'other', 'rolls', 'in', 'all', 'the', 'cases', 'we', 'suppose', 'that', 'the', 'contact', 'between', 'the', 'balls', 'is', 'smooth', 'we', 'base', 'our', 'analysis', 'on', 'some', 'recent', 'general', 'theoretical', 'results', 'on', 'ideal', 'impacts', 'obtained', 'by', 'means', 'of', 'differential', 'geometric', 'impulsive', 'mechanics', 'we', 'use', 'symbolic', 'computation', 'software', 'to', 'solve', 'the', 'computational', 'difficulties', 'arising', 'by', 'the', 'high', 'number', 'of', 'degrees', 'of', 'freedom', 'of', 'the', 'system', 'some', 'particular', 'but', 'significative', 'impacts', 'with', 'opportunely', 'assigned', 'left', 'velocities', 'and', 'positions', 'of', 'the', 'balls', 'are', 'analyzed', 'in', 'details', 'the', 'results', 'admit', 'easy', 'interpretations', 'that', 'turn', 'out', 'to', 'be', 'in', 'good', 'agreement', 'with', 'the', 'reasonable', 'forecasts', 'and', 'the', 'behaviours', 'of', 'real', 'systems']] | [-0.1328349640325345, 0.10714269227267866, -0.08211831650663194, 0.03560212997991002, -0.06067665164834626, -0.13560008356915518, 0.031308839327099616, 0.358949368390784, -0.26384031913651945, -0.27793665459419753, 0.12604793383934193, -0.3048194952814994, -0.1239479752659476, 0.22910746386636505, -0.10080252269181597, 0.06353582575810042, 0.11744982646376216, 0.05007754153196814, -0.04577324333853631, -0.30006401380691544, 0.3236057021305059, 0.011298669230782514, 0.2439245567958561, 0.02097167571413619, 0.09136232058350131, 0.0033704124930442024, -0.025258781837312866, 0.06714594453873844, -0.19128491067909217, 0.1137876289816265, 0.21398854414386367, 0.0861137077721546, 0.2423117103563599, -0.46126839698781424, -0.17134997368582505, 0.10496177664864138, 0.11342273266289196, 0.06956189756596581, -0.0006523783119368574, -0.2628306262396115, 0.06970290151230402, -0.11274666246026754, -0.16613412494000665, -0.06707029364895907, 0.02449394245598492, 0.063576464857597, -0.20295227286171355, 0.020641362867418595, 0.06357607620654346, 0.08061657777632313, -0.042644114161526664, -0.11524953076234021, -0.015742879714347797, 0.15883996798434938, 0.0768056824826803, -0.01973101819309292, 0.128184440267681, -0.10953713496208942, -0.08373541056962429, 0.41816649832528274, -0.019651140230406317, -0.2581346451887767, 0.2115030027004696, -0.17775937082101892, -0.10985517270340443, 0.12224506665181985, 0.14627181634092504, 0.07903228092372498, -0.0900970030501242, 0.06005721194703105, -0.039901296196090015, 0.11917226665097175, 0.10605750538797366, -0.009417655420116494, 0.20912536194802617, 0.08316319257610565, 0.03069035952371418, 0.1344825074528076, -0.04742316559326446, -0.15287670331652, -0.3331723663513716, -0.13943161184249594, -0.1424451950793456, 0.015549812942455195, -0.11601046327938722, -0.14401299325898356, 0.3619212361401041, 0.13649537854094274, 0.22591924540055314, 0.031449429258677386, 0.3151164753831548, 0.04818714019321508, 0.016236023627734148, 0.08534872396882597, 0.21589110958056604, 0.07834870944121222, 0.07482737857888606, -0.1891069634995095, 0.024845018251313286, 0.026531680741702483] |
711.3699 | Prepotential approach to exact and quasi-exact solvabilities | Exact and quasi-exact solvabilities of the one-dimensional Schr\"odinger
equation are discussed from a unified viewpoint based on the prepotential
together with Bethe ansatz equations. This is a constructive approach which
gives the potential as well as the eigenfunctions and eigenvalues
simultaneously. The novel feature of the present work is the realization that
both exact and quasi-exact solvabilities can be solely classified by two
integers, the degrees of two polynomials which determine the change of variable
and the zero-th order prepotential. Most of the well-known exactly and
quasi-exactly solvable models, and many new quasi-exactly solvable ones, can be
generated by appropriately choosing the two polynomials. This approach can be
easily extended to the constructions of exactly and quasi-exactly solvable
Dirac, Pauli, and Fokker-Planck equations.
| math-ph math.MP | exact and quasiexact solvabilities of the onedimensional schrodinger equation are discussed from a unified viewpoint based on the prepotential together with bethe ansatz equations this is a constructive approach which gives the potential as well as the eigenfunctions and eigenvalues simultaneously the novel feature of the present work is the realization that both exact and quasiexact solvabilities can be solely classified by two integers the degrees of two polynomials which determine the change of variable and the zeroth order prepotential most of the wellknown exactly and quasiexactly solvable models and many new quasiexactly solvable ones can be generated by appropriately choosing the two polynomials this approach can be easily extended to the constructions of exactly and quasiexactly solvable dirac pauli and fokkerplanck equations | [['exact', 'and', 'quasiexact', 'solvabilities', 'of', 'the', 'onedimensional', 'schrodinger', 'equation', 'are', 'discussed', 'from', 'a', 'unified', 'viewpoint', 'based', 'on', 'the', 'prepotential', 'together', 'with', 'bethe', 'ansatz', 'equations', 'this', 'is', 'a', 'constructive', 'approach', 'which', 'gives', 'the', 'potential', 'as', 'well', 'as', 'the', 'eigenfunctions', 'and', 'eigenvalues', 'simultaneously', 'the', 'novel', 'feature', 'of', 'the', 'present', 'work', 'is', 'the', 'realization', 'that', 'both', 'exact', 'and', 'quasiexact', 'solvabilities', 'can', 'be', 'solely', 'classified', 'by', 'two', 'integers', 'the', 'degrees', 'of', 'two', 'polynomials', 'which', 'determine', 'the', 'change', 'of', 'variable', 'and', 'the', 'zeroth', 'order', 'prepotential', 'most', 'of', 'the', 'wellknown', 'exactly', 'and', 'quasiexactly', 'solvable', 'models', 'and', 'many', 'new', 'quasiexactly', 'solvable', 'ones', 'can', 'be', 'generated', 'by', 'appropriately', 'choosing', 'the', 'two', 'polynomials', 'this', 'approach', 'can', 'be', 'easily', 'extended', 'to', 'the', 'constructions', 'of', 'exactly', 'and', 'quasiexactly', 'solvable', 'dirac', 'pauli', 'and', 'fokkerplanck', 'equations']] | [-0.11265393112581677, 0.09641859185223173, -0.07699415281536133, 0.07778356629385938, -0.1399532073154682, -0.2245785723387347, -0.016612659587062956, 0.300013007989865, -0.28600987350677964, -0.2908066184358384, 0.08631464299874578, -0.2621183090320811, -0.1874445035875722, 0.1848385516644978, 0.005713638599689414, 0.06075315296032837, 0.03325483358911867, 0.03765991808680015, -0.08918686934019916, -0.2601775393435141, 0.3255171764384561, -0.017251435493126632, 0.212235086353314, 0.020735739787086482, 0.12477740215713053, -0.01986955096793732, 0.042575107361152165, 0.003423240009271275, -0.09731559345823555, 0.12826091647943164, 0.2750902660052934, 0.06195431810659849, 0.18743993310500087, -0.3961420725989421, -0.19862348337968191, 0.09703522778260029, 0.2018951173167585, 0.16909489905976546, 0.0077918141037301445, -0.34923864349086836, 0.024469699074582355, -0.17147395985269145, -0.19801072117198654, -0.11998382281148579, -0.02127468471634921, 0.06249613885586036, -0.2436138022372999, 0.07021449773186227, 0.06037590198116604, -0.0026522936619526225, -0.08426222908764897, -0.14065923285481285, -0.017142458601165714, 0.07036368386835103, 0.011177116660476943, -0.032071993826335764, 0.019573876838676812, -0.07036594794760269, -0.14992957716292846, 0.4019970767563436, -0.03520822310460565, -0.2725489942197938, 0.1383552729765926, -0.0781669470527005, -0.11580963731493528, 0.10046276966549032, 0.08270315453410149, 0.14738912526820977, -0.2200779159131225, 0.16609916836780503, -0.0726590817037031, 0.09113237236099264, 0.060911826346433016, -0.005171458846397274, 0.15634476255655774, 0.0292300320631726, 0.00964393704415988, 0.1460449930528421, 0.046745159407714156, -0.15542790631581915, -0.3205776341075865, -0.10720097698456782, -0.22530499477757188, 0.06795008178815488, -0.1183064278826587, -0.1696988824457763, 0.4825869900424306, 0.12143058719386052, 0.17866787552167246, 0.06294755802141518, 0.23816678074483827, 0.24541235907283437, 0.03434207176835072, 0.05252227979916625, 0.18265208513740966, 0.15246199829715903, 0.008245396092761217, -0.2508089914141844, -0.032580116511004543, 0.1799461534644318] |
711.37 | Analytic results for the three-sphere swimmer at low Reynolds number | The simple model of a low Reynolds number swimmer made from three spheres
that are connected by two arms is considered in its general form and analyzed.
The swimming velocity, force--velocity response, power consumption, and
efficiency of the swimmer are calculated both for general deformations and also
for specific model prescriptions. The role of noise and coherence in the stroke
cycle is also discussed.
| cond-mat.soft cond-mat.stat-mech | the simple model of a low reynolds number swimmer made from three spheres that are connected by two arms is considered in its general form and analyzed the swimming velocity forcevelocity response power consumption and efficiency of the swimmer are calculated both for general deformations and also for specific model prescriptions the role of noise and coherence in the stroke cycle is also discussed | [['the', 'simple', 'model', 'of', 'a', 'low', 'reynolds', 'number', 'swimmer', 'made', 'from', 'three', 'spheres', 'that', 'are', 'connected', 'by', 'two', 'arms', 'is', 'considered', 'in', 'its', 'general', 'form', 'and', 'analyzed', 'the', 'swimming', 'velocity', 'forcevelocity', 'response', 'power', 'consumption', 'and', 'efficiency', 'of', 'the', 'swimmer', 'are', 'calculated', 'both', 'for', 'general', 'deformations', 'and', 'also', 'for', 'specific', 'model', 'prescriptions', 'the', 'role', 'of', 'noise', 'and', 'coherence', 'in', 'the', 'stroke', 'cycle', 'is', 'also', 'discussed']] | [-0.15299163456074893, 0.15347852921695448, -0.0363596685565426, 0.05337289892122499, -0.024447222695016535, -0.1547110004030401, -0.01688096663565375, 0.3811667451518588, -0.22678023640764877, -0.2875801299887826, 0.07278587216933374, -0.22502617446298245, -0.18760859630128834, 0.23358350180933485, -0.08754304578178562, 0.04807258657001512, 0.021577610950771486, 0.042293722450267524, 0.04561936845493619, -0.21800844048630097, 0.2504063681262778, 0.04586056292464491, 0.2979314037547738, 0.03762475242547225, 0.12729315658361884, -0.05612822705734288, -8.246531069744378e-05, 0.10256793549342547, -0.15291806881270986, 0.0855618283021613, 0.20090211161004845, 0.06765148715203395, 0.20693074303562753, -0.46096014708746225, -0.19662926683668047, 0.0414718328465824, 0.11834217543946579, 0.07243841041781707, -0.03062858996418072, -0.17308308658539318, 0.04510802090953803, -0.2085536135181485, -0.11778424002841348, -0.07669984393578488, 0.08780327546992339, 0.08908123706351034, -0.23123474758904194, 0.11524325962727744, 0.062091403888189234, 0.0924125942401588, -0.08357550688560877, -0.10909075308518368, -0.0514592903709854, 0.146515326705412, 0.07989042222106946, -0.029882812763389666, 0.19236665943753906, -0.20761051125009544, -0.056881884676840855, 0.41639241206576116, -0.007206706999568269, -0.2548008143203333, 0.18224425151129253, -0.14772363031079294, -0.06321426085924031, 0.12318439975206275, 0.18505944468051894, 0.08046859210298862, -0.13996423842036165, -0.0029499564693651337, -0.014595059838029556, 0.10602177617329289, 0.08145494104246609, -0.046001315115063335, 0.18502882221946493, 0.1650835484470008, 0.030738140267203562, 0.16038291016593575, -0.11041875481168972, -0.1073220349244366, -0.3096668706421042, -0.11976912683167029, -0.1632687077690207, -0.010001292976085097, -0.13284893034051493, -0.08510325677343644, 0.41182102670063614, 0.07251637686226786, 0.20605129073373973, 0.10715102906397078, 0.33111017500050366, 0.11645939912705217, 0.02370130692179373, 0.07635196321643889, 0.2813814520777669, 0.14544599697183003, 0.07646345719695091, -0.2776157847765717, 0.0512557624024339, 0.05328466232822393] |
711.3701 | q-deformed Lie algebras and fractional calculus | Fractional calculus and q-deformed Lie algebras are closely related. Both
concepts expand the scope of standard Lie algebras to describe generalized
symmetries. For the fractional harmonic oscillator, the corresponding q-number
is derived. It is shown, that the resulting energy spectrum is an appropriate
tool e.g. to describe the ground state spectra of even-even nuclei. In
addition, the equivalence of rotational and vibrational spectra for fractional
q-deformed Lie algebras is shown and the $B_\alpha(E2)$ values for the
fractional q-deformed symmetric rotor are calculated.
| physics.gen-ph | fractional calculus and qdeformed lie algebras are closely related both concepts expand the scope of standard lie algebras to describe generalized symmetries for the fractional harmonic oscillator the corresponding qnumber is derived it is shown that the resulting energy spectrum is an appropriate tool eg to describe the ground state spectra of eveneven nuclei in addition the equivalence of rotational and vibrational spectra for fractional qdeformed lie algebras is shown and the b_alphae2 values for the fractional qdeformed symmetric rotor are calculated | [['fractional', 'calculus', 'and', 'qdeformed', 'lie', 'algebras', 'are', 'closely', 'related', 'both', 'concepts', 'expand', 'the', 'scope', 'of', 'standard', 'lie', 'algebras', 'to', 'describe', 'generalized', 'symmetries', 'for', 'the', 'fractional', 'harmonic', 'oscillator', 'the', 'corresponding', 'qnumber', 'is', 'derived', 'it', 'is', 'shown', 'that', 'the', 'resulting', 'energy', 'spectrum', 'is', 'an', 'appropriate', 'tool', 'eg', 'to', 'describe', 'the', 'ground', 'state', 'spectra', 'of', 'eveneven', 'nuclei', 'in', 'addition', 'the', 'equivalence', 'of', 'rotational', 'and', 'vibrational', 'spectra', 'for', 'fractional', 'qdeformed', 'lie', 'algebras', 'is', 'shown', 'and', 'the', 'b_alphae2', 'values', 'for', 'the', 'fractional', 'qdeformed', 'symmetric', 'rotor', 'are', 'calculated']] | [-0.07013240548851038, 0.1376538040049239, -0.05026188799892236, 0.13374414725551081, -0.09303829530943875, -0.1300573069717229, -0.08163996783579573, 0.3612743162630517, -0.30765854723659564, -0.24000073052988743, 0.07537930942123273, -0.24953046716450725, -0.10905609889254894, 0.1948724455131149, -0.06784442529358246, 0.0064298488463082545, 0.004277100203052899, 0.11911509944884865, -0.11145774397803586, -0.13993542376520504, 0.3502190528943399, 0.022783008057704585, 0.2790764967600505, -0.022166389195869367, 0.08367841263635108, -0.03517263085167441, -0.015501939243188611, -0.06381447917356352, -0.17552051887846407, 0.1430758515165912, 0.2785545943511857, 0.004297564271837473, 0.17883223141716034, -0.34434971981394435, -0.13960539392069166, 0.11829889367943928, 0.14122266395151886, 0.07542197441360281, 0.018958421987423927, -0.3362342376537897, 0.00820805440530365, -0.22402027035476985, -0.19904741371211446, -0.13291643730675182, 0.08811286458009739, 0.06389682455546004, -0.20347196274195556, 0.09478174193394313, 0.045304941602718134, 0.050648961768106175, -0.169172547309211, -0.17403466571237386, -0.11705698298267377, 0.06627672521202009, -0.04854933892227249, -0.046146583565177375, 0.13133569418188232, -0.06865652944938636, -0.1778616447283392, 0.42908287301291653, 0.0164730692466284, -0.2289925085288691, 0.09930031123157176, -0.16438461418183128, -0.16114611364326176, 0.10965124503881843, 0.036131088667905625, 0.08507099232268463, -0.12430396179933055, 0.15302193623372456, -0.02037378403438646, 0.06239282165188342, 0.053031058491561214, 0.05411625848393197, 0.15510738929043766, 0.0764868853090584, 0.02008929201344281, 0.15837949596023487, -0.04334979235298104, -0.17180511270316295, -0.32820769410902334, -0.16865600324178368, -0.16165203455674612, 0.03605880394554985, -0.06236108455661092, -0.12593174045316208, 0.40502867031336565, 0.07258858368732035, 0.11052559011466341, 0.07266087305766565, 0.16163676833434973, 0.2441125269950494, 0.07773657078153373, 0.00656257763384255, 0.22368187732120723, 0.30145102242053845, 0.058330407469636865, -0.23969863797825428, -0.11255078393690011, 0.14057881589892698] |
711.3702 | High-pressure effects on the optical-absorption edge of CdIn2S4,
MgIn2S4, and MnIn2S4 thiospinels | The effect of pressure on the optical-absorption edge of CdIn2S4, MgIn2S4,
and MnIn2S4 thiospinels at room temperature is investigated up to 20 GPa. The
pressure dependence of their band-gaps has been analyzed using the Urbach rule.
We have found that, within the pressure-range of stability of the low-pressure
spinel phase, the band-gap of CdIn2S4 and MgIn2S4 exhibits a linear blue-shift
with pressure, whereas the band-gap of MnIn2S4 exhibits a pronounced non-linear
shift. In addition, an abrupt decrease of the band-gap energies occurs in the
three compounds at pressures of 10 GPa, 8.5 GPa, and 7.2 GPa, respectively.
Beyond these pressures, the optical-absorption edge red-shifts upon compression
for the three studied thiospinels. All these results are discussed in terms of
the electronic structure of each compound and their reported structural
changes.
| cond-mat.mtrl-sci | the effect of pressure on the opticalabsorption edge of cdin2s4 mgin2s4 and mnin2s4 thiospinels at room temperature is investigated up to 20 gpa the pressure dependence of their bandgaps has been analyzed using the urbach rule we have found that within the pressurerange of stability of the lowpressure spinel phase the bandgap of cdin2s4 and mgin2s4 exhibits a linear blueshift with pressure whereas the bandgap of mnin2s4 exhibits a pronounced nonlinear shift in addition an abrupt decrease of the bandgap energies occurs in the three compounds at pressures of 10 gpa 85 gpa and 72 gpa respectively beyond these pressures the opticalabsorption edge redshifts upon compression for the three studied thiospinels all these results are discussed in terms of the electronic structure of each compound and their reported structural changes | [['the', 'effect', 'of', 'pressure', 'on', 'the', 'opticalabsorption', 'edge', 'of', 'cdin2s4', 'mgin2s4', 'and', 'mnin2s4', 'thiospinels', 'at', 'room', 'temperature', 'is', 'investigated', 'up', 'to', '20', 'gpa', 'the', 'pressure', 'dependence', 'of', 'their', 'bandgaps', 'has', 'been', 'analyzed', 'using', 'the', 'urbach', 'rule', 'we', 'have', 'found', 'that', 'within', 'the', 'pressurerange', 'of', 'stability', 'of', 'the', 'lowpressure', 'spinel', 'phase', 'the', 'bandgap', 'of', 'cdin2s4', 'and', 'mgin2s4', 'exhibits', 'a', 'linear', 'blueshift', 'with', 'pressure', 'whereas', 'the', 'bandgap', 'of', 'mnin2s4', 'exhibits', 'a', 'pronounced', 'nonlinear', 'shift', 'in', 'addition', 'an', 'abrupt', 'decrease', 'of', 'the', 'bandgap', 'energies', 'occurs', 'in', 'the', 'three', 'compounds', 'at', 'pressures', 'of', '10', 'gpa', '85', 'gpa', 'and', '72', 'gpa', 'respectively', 'beyond', 'these', 'pressures', 'the', 'opticalabsorption', 'edge', 'redshifts', 'upon', 'compression', 'for', 'the', 'three', 'studied', 'thiospinels', 'all', 'these', 'results', 'are', 'discussed', 'in', 'terms', 'of', 'the', 'electronic', 'structure', 'of', 'each', 'compound', 'and', 'their', 'reported', 'structural', 'changes']] | [-0.13474805703386664, 0.18771589852974285, -0.03891212452948094, -0.06227154674497433, 0.012146462064236403, -0.07448783256858588, 0.14288767439685762, 0.4437969608604908, -0.24950294555351138, -0.3090371221229434, 0.05113870030362159, -0.32714404540508984, -0.10284946989268065, 0.13874150695279241, 0.07744298102147877, 0.05518267155718058, -0.054898626796901225, 0.034103455109521744, -0.1482189598772675, -0.21187513262592256, 0.25501514011621473, 0.08005593045800924, 0.2996238764077425, 0.13153181593166663, 0.0512787451967597, -0.08078957292065024, 0.0835457937773317, 0.059140249721705916, -0.17237841026327805, 0.009802454743126873, 0.27083784569613634, -0.06284431553818286, 0.23464078399352728, -0.3654562670588493, -0.22066010990738869, -0.013582803286612034, 0.05423500135052018, 0.08910040524601937, -0.06441181165818124, -0.2405122729614377, 0.11882209831662476, -0.12922468690946698, -0.11060551869031042, -0.06731921676546335, -0.007895254602655768, -0.01497436885908246, -0.1772953828428872, 0.18059670555591584, 0.040598826341331, 0.14915479651838542, -0.16747190004214643, -0.21671927594020962, -0.09673100360482931, 0.01987619885057211, 0.041484783524181695, 0.005221416852087714, 0.18151878548413516, -0.09241721368208528, -0.09076362713705749, 0.43638565723598005, -0.021072165332734583, 0.05062571956962347, 0.1828162724301219, -0.1868685234859586, -0.08359660020656884, 0.25885733184218407, 0.11383816673606634, 0.05879369531199336, -0.10154299555765466, 0.060964882439002395, 0.04319800308719277, 0.19143446820229293, 0.1557872912529856, 0.04012222865223885, 0.15780614882335067, 0.17017560787685215, 0.011050700986757875, 0.13430220224894585, -0.13518751926906408, -0.006277461510151625, -0.2028322164490819, -0.1657123103402555, -0.11604369103256613, -0.0037686728313565255, -0.10534085919661447, -0.1704718378148973, 0.40541228303313254, 0.11204739671200514, 0.1890823063068092, -0.020927644170820714, 0.17551065118517728, 0.13052190184593201, 0.09677367551438511, 0.06699354206747375, 0.3279950008392334, 0.1733578385617584, 0.13504377970471979, -0.2710334897171706, 0.09105910689756275, -0.05374374564923346] |
711.3703 | Harmonicity of sections of sphere bundles | We consider the energy functional on the space of sections of a sphere bundle
over a Riemannian manifold (M, <,>) equipped with the Sasaki metric and we
discuss the characterising condition for critical points. Likewise, we provide
a useful method for computing the tension field in some particular situations.
Such a method is shown to be adequate for many tensor fields defined on
manifolds M equipped with a G-structure compatible with <,>. This leads to the
construction of a lot of new examples of differential forms which are harmonic
sections or determine a harmonic map from (M,<,>) into its sphere bundle.
| math.DG | we consider the energy functional on the space of sections of a sphere bundle over a riemannian manifold m equipped with the sasaki metric and we discuss the characterising condition for critical points likewise we provide a useful method for computing the tension field in some particular situations such a method is shown to be adequate for many tensor fields defined on manifolds m equipped with a gstructure compatible with this leads to the construction of a lot of new examples of differential forms which are harmonic sections or determine a harmonic map from m into its sphere bundle | [['we', 'consider', 'the', 'energy', 'functional', 'on', 'the', 'space', 'of', 'sections', 'of', 'a', 'sphere', 'bundle', 'over', 'a', 'riemannian', 'manifold', 'm', 'equipped', 'with', 'the', 'sasaki', 'metric', 'and', 'we', 'discuss', 'the', 'characterising', 'condition', 'for', 'critical', 'points', 'likewise', 'we', 'provide', 'a', 'useful', 'method', 'for', 'computing', 'the', 'tension', 'field', 'in', 'some', 'particular', 'situations', 'such', 'a', 'method', 'is', 'shown', 'to', 'be', 'adequate', 'for', 'many', 'tensor', 'fields', 'defined', 'on', 'manifolds', 'm', 'equipped', 'with', 'a', 'gstructure', 'compatible', 'with', 'this', 'leads', 'to', 'the', 'construction', 'of', 'a', 'lot', 'of', 'new', 'examples', 'of', 'differential', 'forms', 'which', 'are', 'harmonic', 'sections', 'or', 'determine', 'a', 'harmonic', 'map', 'from', 'm', 'into', 'its', 'sphere', 'bundle']] | [-0.17116176535850486, 0.04930487934340055, -0.07688612494184965, 0.05957439912464282, -0.08960459478237111, -0.14023611485732324, -0.013226256328352698, 0.37320809517845965, -0.22770346701145172, -0.251850966890954, 0.10601771147239653, -0.2514736271566815, -0.16285430885747904, 0.2525570769700212, -0.09834580142709493, 0.02847041263929427, 0.07008168676096682, 0.12889836408048538, -0.09032206838501317, -0.21284234400067215, 0.4521919813270521, 0.025224893984168467, 0.21892588488014433, 0.04753337008878589, 0.17826211941663664, -0.004482889315113425, -0.013532742378160809, 0.06648292894342284, -0.1653309851000556, 0.160986467716143, 0.23080856988977905, 0.07525354942701983, 0.2053189910742492, -0.4027827116990029, -0.2124644759639679, 0.1595573424164093, 0.05540982938155231, 0.011769610105524535, -0.029130356619134545, -0.27582141995016074, 0.07664576229978014, -0.11817629822539259, -0.1450513800549688, -0.11704886188222603, 0.013337777133777061, 0.012707331996279382, -0.26529043001320324, -0.05056159111266636, 0.052925137060369845, 0.06201206406371461, -0.08498740619203697, -0.09180676638891902, -0.02814251140249197, 0.07357917164188969, 0.01732159198163021, 0.07799435260169434, 0.12023604673926126, -0.06874178360084618, -0.07648627297726995, 0.39332397340448816, -0.10283737997477403, -0.29179571890695527, 0.13514983909900743, -0.12874941308653415, -0.1414594515085672, 0.12386786296488624, 0.17931178039071535, 0.1479993604142407, -0.06425499457941213, 0.154698428283375, -0.035870258287159784, 0.0827292510298918, 0.06638733213391117, -0.014991955841054219, 0.20024569791675817, 0.15892426287426115, 0.15038400179544237, 0.11303003070607895, -0.04167295316930371, -0.07802691170475398, -0.35209532356773965, -0.2575706063579848, -0.13401174496370133, 0.12172588812319016, -0.08189233614004222, -0.17844088727489557, 0.3732801447528405, 0.02210130108840237, 0.2659165307396148, 0.07863952497119141, 0.24620294100557916, 0.08505660978103564, 0.07804457674913033, 0.06317218056306093, 0.17626783638549356, 0.2044956021368353, 0.06792688906319778, -0.11052036340668271, -0.07119186188686978, 0.08774252567967081] |
711.3704 | Acoustic Features and Perceptive Cues of Songs and Dialogues in Whistled
Speech: Convergences with Sung Speech | Whistled speech is a little studied local use of language shaped by several
cultures of the world either for distant dialogues or for rendering traditional
songs. This practice consists of an emulation of the voice thanks to a simple
modulated pitch. It is therefore the result of a transformation of the vocal
signal that implies simplifications in the frequency domain. The whistlers
adapt their productions to the way each language combines the qualities of
height perceived simultaneously by the human ear in the complex frequency
spectrum of the spoken or sung voice (pitch, timbre). As a consequence, this
practice underlines key acoustic cues for the intelligibility of the concerned
languages. The present study provides an analysis of the acoustic and phonetic
features selected by whistled speech in several traditions either in purely
oral whistles (Spanish, Turkish, Mazatec) or in whistles produced with an
instrument like a leaf (Akha, Hmong). It underlines the convergences with the
strategies of the singing voice to reach the audience or to render the phonetic
information carried by the vowel (tone, identity) and some aesthetic effects
like ornamentation.
| physics.bio-ph | whistled speech is a little studied local use of language shaped by several cultures of the world either for distant dialogues or for rendering traditional songs this practice consists of an emulation of the voice thanks to a simple modulated pitch it is therefore the result of a transformation of the vocal signal that implies simplifications in the frequency domain the whistlers adapt their productions to the way each language combines the qualities of height perceived simultaneously by the human ear in the complex frequency spectrum of the spoken or sung voice pitch timbre as a consequence this practice underlines key acoustic cues for the intelligibility of the concerned languages the present study provides an analysis of the acoustic and phonetic features selected by whistled speech in several traditions either in purely oral whistles spanish turkish mazatec or in whistles produced with an instrument like a leaf akha hmong it underlines the convergences with the strategies of the singing voice to reach the audience or to render the phonetic information carried by the vowel tone identity and some aesthetic effects like ornamentation | [['whistled', 'speech', 'is', 'a', 'little', 'studied', 'local', 'use', 'of', 'language', 'shaped', 'by', 'several', 'cultures', 'of', 'the', 'world', 'either', 'for', 'distant', 'dialogues', 'or', 'for', 'rendering', 'traditional', 'songs', 'this', 'practice', 'consists', 'of', 'an', 'emulation', 'of', 'the', 'voice', 'thanks', 'to', 'a', 'simple', 'modulated', 'pitch', 'it', 'is', 'therefore', 'the', 'result', 'of', 'a', 'transformation', 'of', 'the', 'vocal', 'signal', 'that', 'implies', 'simplifications', 'in', 'the', 'frequency', 'domain', 'the', 'whistlers', 'adapt', 'their', 'productions', 'to', 'the', 'way', 'each', 'language', 'combines', 'the', 'qualities', 'of', 'height', 'perceived', 'simultaneously', 'by', 'the', 'human', 'ear', 'in', 'the', 'complex', 'frequency', 'spectrum', 'of', 'the', 'spoken', 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711.3705 | Trapped Fermi Gases in Rotating Optical Lattices: Realization and
Detection of the Topological Hofstadter Insulator | We consider a gas of non-interacting spinless fermions in a rotating optical
lattice and calculate the density profile of the gas in an external confinement
potential. The density profile exhibits distinct plateaus, which correspond to
gaps in the single particle spectrum known as the Hofstadter butterfly. The
plateaus result from insulating behavior whenever the Fermi energy lies within
a gap. We discuss the necessary conditions to realize the Hofstadter insulator
in a cold atom setup and show how the quantized Hall conductance can be
measured from density profiles using the St\v{r}eda formula.
| cond-mat.mes-hall | we consider a gas of noninteracting spinless fermions in a rotating optical lattice and calculate the density profile of the gas in an external confinement potential the density profile exhibits distinct plateaus which correspond to gaps in the single particle spectrum known as the hofstadter butterfly the plateaus result from insulating behavior whenever the fermi energy lies within a gap we discuss the necessary conditions to realize the hofstadter insulator in a cold atom setup and show how the quantized hall conductance can be measured from density profiles using the stvreda formula | [['we', 'consider', 'a', 'gas', 'of', 'noninteracting', 'spinless', 'fermions', 'in', 'a', 'rotating', 'optical', 'lattice', 'and', 'calculate', 'the', 'density', 'profile', 'of', 'the', 'gas', 'in', 'an', 'external', 'confinement', 'potential', 'the', 'density', 'profile', 'exhibits', 'distinct', 'plateaus', 'which', 'correspond', 'to', 'gaps', 'in', 'the', 'single', 'particle', 'spectrum', 'known', 'as', 'the', 'hofstadter', 'butterfly', 'the', 'plateaus', 'result', 'from', 'insulating', 'behavior', 'whenever', 'the', 'fermi', 'energy', 'lies', 'within', 'a', 'gap', 'we', 'discuss', 'the', 'necessary', 'conditions', 'to', 'realize', 'the', 'hofstadter', 'insulator', 'in', 'a', 'cold', 'atom', 'setup', 'and', 'show', 'how', 'the', 'quantized', 'hall', 'conductance', 'can', 'be', 'measured', 'from', 'density', 'profiles', 'using', 'the', 'stvreda', 'formula']] | [-0.18009040758909617, 0.18291426277178485, -0.10664507677353433, 0.0707261737982702, 0.018906130346611306, -0.17337471497771534, 0.04793718349411274, 0.34527828720519727, -0.2513963235795255, -0.3096394318601359, -0.010335642105454335, -0.28382010637458577, -0.1267700709108992, 0.14463804253888235, -0.0032596196397207677, 0.023376681295264025, -0.027301120989368825, -0.010377693141851089, -0.10315739161729731, -0.16749708280321615, 0.29524335872543894, 0.015104674579798366, 0.2818056954799787, 0.0832501288159224, 0.01429256367618623, -0.006161211635512503, 0.10301174679467373, 0.03275176873633071, -0.1708604343002662, 0.021564754338570587, 0.19756140978753808, -0.0815891584219492, 0.1675333786026939, -0.4361706235871205, -0.19779032637344915, 0.04143728265341412, 0.16087380972812357, 0.1458031792331578, -0.05708715802503993, -0.2736661234685807, -0.02202008084081488, -0.1944915607328648, -0.20119240349563566, -0.03717653991897469, 0.002617247147693137, 0.0018385819478324897, -0.20401097328462842, 0.14191561536458525, -0.0133136916366588, 0.032710554631510444, -0.116583891733013, -0.06720603518592923, -0.06126353667755409, 0.07242670006867823, 0.0013969646521297325, 0.0021122647955527773, 0.17973662989274802, -0.17797899337323464, -0.0962362228943359, 0.41248733153485734, -0.13197833799210418, -0.11751102438479986, 0.14942530611448962, -0.20994379462006138, -0.04753868550102672, 0.1458280858097841, 0.08747028702687797, 0.016923375721292003, -0.09270801371894777, 0.10105780071614351, -0.12167013372653974, 0.1520772551226875, 0.05700842831182577, 0.05639106487733838, 0.32159531467756175, 0.1198284100556402, 0.070879112893675, 0.2153026347590165, -0.17024397480417974, -0.062201201632294964, -0.2755807357227794, -0.1667699545707918, -0.26043621144945855, 0.0673232230803241, -0.019570999768367747, -0.2062776476630698, 0.43523788634869875, 0.1364668031936795, 0.25657989945687837, -0.01974980077458262, 0.27839893404313404, 0.19860199926820907, 0.05191762099528442, 0.10649011846955704, 0.1976815712380061, 0.1555955838209585, 0.10775458486750722, -0.300334967267902, -0.032783360129384244, 0.034432233614928046] |
711.3706 | Poincare's Conjecture for three manifolds | We prove Poincare's Conjecture that every simply connected, closed
three-manifold is topologically equivalent to the three-sphere. The proof is
founded on the algebraic formulation discovered by J. Stallings.
| math.GM | we prove poincares conjecture that every simply connected closed threemanifold is topologically equivalent to the threesphere the proof is founded on the algebraic formulation discovered by j stallings | [['we', 'prove', 'poincares', 'conjecture', 'that', 'every', 'simply', 'connected', 'closed', 'threemanifold', 'is', 'topologically', 'equivalent', 'to', 'the', 'threesphere', 'the', 'proof', 'is', 'founded', 'on', 'the', 'algebraic', 'formulation', 'discovered', 'by', 'j', 'stallings']] | [-0.26320562285504173, 0.13788138180305914, -0.16574119650093572, 0.0980979304378187, -0.199025184049138, -0.24911114047946675, -0.004699275961944035, 0.25465436705521177, -0.2510043558265482, -0.2324664423275473, 0.07684180092266095, -0.23076322534221358, -0.2351101469747456, 0.19921364076435566, -0.20563802901389344, -0.09311326786077448, 0.10322229098528624, 0.06864174508622714, -0.032567857224161605, -0.3254864082305825, 0.35105772516024963, -0.10429622499006135, 0.23056030619045487, 0.16649457765743136, 0.16041540746144684, 0.043598072636606436, -0.059984261502644846, 0.0818471261965377, -0.22980816496965417, 0.11897285924559194, 0.2646685688357268, 0.08058952627470717, 0.18770529815394962, -0.38654374664994456, -0.13040704470560222, 0.11020160293472665, 0.13834349315480463, -0.020242270414850543, 0.03540109164896421, -0.3341816009820572, 0.10927183107872095, -0.08800806550841246, -0.2187618923406782, -0.02192794801002102, 0.08491053092958671, -0.07582951337099075, -0.08931349743423718, -0.02817136368581227, 0.178444357256272, 0.07311605984744217, -0.020036836620420218, -0.024958035339035893, -0.10459455629877214, 0.0099918700372135, -0.0017964629556185433, 0.15694012617625827, 0.09997041094175074, 0.04278325565558459, -0.15634723785998567, 0.3165763617060812, -0.049676564522087574, -0.24673731751473887, 0.09660848366495754, -0.05302054077453379, -0.22853457847876207, 0.13684069172346167, -0.06492792615400893, 0.14542766662114964, -0.0774074544065765, 0.2335526451934129, -0.22841032391547092, 0.08630974972454299, 0.12801172358116933, -0.09285107865330897, 0.14367132090098625, 0.07349859437506114, 0.10719988754551325, 0.14126644848978945, 0.11370372583457668, -0.07385236919591469, -0.3350996651819774, -0.23332335548808, -0.25370290343250546, 0.22296488867141306, -0.06362001707644335, -0.18004840481028492, 0.3187697810520019, -0.027022037522069046, 0.05842597636261156, 0.18275252975789563, 0.23467582924890198, 0.09017283931773688, 0.03330830689187029, 0.18569215929268726, 0.1638437447670315, 0.27278538587935536, -0.05782298189920506, -0.10137184413282999, 0.0002503663833652224, 0.34614467116937575] |
711.3707 | The net created from the Penrose tiling is biLipschitz to the integer
lattice | A separated net is a set of points which is relatively dense and uniformly
discrete (another name for a Delone set). We are dealing with tilings and
separated nets in Euclidean spaces and with the question whether a given
separated net is biLipschitz to the integer lattice. In this paper we show, as
an answer to a question of Burago and Kleiner, that the net that is obtained
form the Penrose tiling is biLipschitz to the integer lattice.
| math.MG math.DS | a separated net is a set of points which is relatively dense and uniformly discrete another name for a delone set we are dealing with tilings and separated nets in euclidean spaces and with the question whether a given separated net is bilipschitz to the integer lattice in this paper we show as an answer to a question of burago and kleiner that the net that is obtained form the penrose tiling is bilipschitz to the integer lattice | [['a', 'separated', 'net', 'is', 'a', 'set', 'of', 'points', 'which', 'is', 'relatively', 'dense', 'and', 'uniformly', 'discrete', 'another', 'name', 'for', 'a', 'delone', 'set', 'we', 'are', 'dealing', 'with', 'tilings', 'and', 'separated', 'nets', 'in', 'euclidean', 'spaces', 'and', 'with', 'the', 'question', 'whether', 'a', 'given', 'separated', 'net', 'is', 'bilipschitz', 'to', 'the', 'integer', 'lattice', 'in', 'this', 'paper', 'we', 'show', 'as', 'an', 'answer', 'to', 'a', 'question', 'of', 'burago', 'and', 'kleiner', 'that', 'the', 'net', 'that', 'is', 'obtained', 'form', 'the', 'penrose', 'tiling', 'is', 'bilipschitz', 'to', 'the', 'integer', 'lattice']] | [-0.14435297833421293, 0.12913462390264238, -0.056753276727902584, 0.0768093155661168, -0.08945125783196627, -0.11998658679210795, 0.048393007285761624, 0.39545684279157567, -0.3563064903092499, -0.2085866538616709, 0.13004305166526672, -0.337620806068373, -0.13058061577761784, 0.1409209793409667, -0.14879248175435725, 0.0154179246403659, 0.03353557627922736, 0.027225892322185714, -0.04898351124631098, -0.2998940647364809, 0.3460388419528802, -0.029133311590740982, 0.19007756607010004, 0.0605612558623155, 0.1295670772639987, -0.036783349670422, 0.013296196517797235, 0.11640656944841911, -0.10482246393598288, 0.14373454371562752, 0.23329940114695674, 0.1044749387133962, 0.24792912177359447, -0.34115299775368885, -0.1619734077786024, 0.16691376329757845, 0.12438262211612593, 0.06847589850897351, -0.05469659620967622, -0.2572214685093898, 0.14731802319725737, -0.05961295250707712, -0.10183307293277138, -0.047698257714868166, 0.08479321890701659, -0.019315238277881574, -0.31483114023919767, -0.00779870886188478, 0.17817117912748542, 0.08897083183416189, -0.07948190309943105, -0.05676212523543748, -0.025911678339187533, 0.10657189954340887, -0.022534006638952865, 0.16356195012131372, 0.021505178280700095, -0.02833809023305105, -0.14609735714605984, 0.4070344510822533, -0.004497200095405181, -0.26547311910260946, 0.1804925872084613, -0.15034747421025083, -0.12245852377814934, 0.09417394612682983, 0.13274593430404097, 0.10051307344856934, -0.12456390724923366, 0.11162846505295676, -0.16713037261237892, 0.1607167977027786, 0.134417025378356, -0.014050455560955482, 0.21617497620769802, 0.14736496929067355, 0.11627746864747351, 0.19544546223150042, 0.0036308776321582114, -0.08683874243377851, -0.3083178855908605, -0.14853691147306028, -0.23684041456838784, 0.09698121905183563, -0.06345418074619001, -0.23994046330260924, 0.3253618826558336, 0.06064055866012589, 0.25463329600647855, 0.07246665089564303, 0.212319102544242, 0.0538278839700909, 0.04253036491214656, 0.08340636220199461, 0.12765007386378086, 0.09781651717061415, 0.02999147303545704, -0.11030431078054392, -0.03956449409134877, 0.18214485347748566] |
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