id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
|---|---|---|---|---|---|---|
710.5153 | Bounds on long-lived charged massive particles from Big Bang
nucleosynthesis | The Big Bang nucleosynthesis (BBN) in the presence of charged massive
particles (CHAMPs) is studied in detail. All currently known effects due to the
existence of bound states between CHAMPs and nuclei, including possible
late-time destruction of Li6 and Li7 are included. The study sets conservative
bounds on CHAMP abundances in the decay time range 3x10^2 sec - 10^12 sec. It
is stressed that the production of Li6 at early times T ~ 10keV is
overestimated by a factor ~ 10 when the approximation of the Saha equation for
the He4 bound state fraction is utilised. To obtain conservative limits on the
abundance of CHAMPs, a Monte-Carlo analysis with ~ 3x10^6 independent BBN runs,
varying reaction rates of nineteen different reactions, is performed (see
attached erratum, however). The analysis yields the surprising result that
except for small areas in the particle parameter space conservative constraints
on the abundance of decaying charged particles are currently very close to
those of neutral particles. It is shown that, in case a number of heretofore
unconsidered reactions may be determined reliably in future, it is conceivable
that the limit on CHAMPs in the early Universe could be tightened by orders of
magnitude. An ERRATUM gives limits on primordial CHAMP densities when the by
Ref. Kamimura et al. recently more accurately determined CHAMP reaction rates
are employed.
| hep-ph astro-ph | the big bang nucleosynthesis bbn in the presence of charged massive particles champs is studied in detail all currently known effects due to the existence of bound states between champs and nuclei including possible latetime destruction of li6 and li7 are included the study sets conservative bounds on champ abundances in the decay time range 3x102 sec 1012 sec it is stressed that the production of li6 at early times t 10kev is overestimated by a factor 10 when the approximation of the saha equation for the he4 bound state fraction is utilised to obtain conservative limits on the abundance of champs a montecarlo analysis with 3x106 independent bbn runs varying reaction rates of nineteen different reactions is performed see attached erratum however the analysis yields the surprising result that except for small areas in the particle parameter space conservative constraints on the abundance of decaying charged particles are currently very close to those of neutral particles it is shown that in case a number of heretofore unconsidered reactions may be determined reliably in future it is conceivable that the limit on champs in the early universe could be tightened by orders of magnitude an erratum gives limits on primordial champ densities when the by ref kamimura et al recently more accurately determined champ reaction rates are employed | [['the', 'big', 'bang', 'nucleosynthesis', 'bbn', 'in', 'the', 'presence', 'of', 'charged', 'massive', 'particles', 'champs', 'is', 'studied', 'in', 'detail', 'all', 'currently', 'known', 'effects', 'due', 'to', 'the', 'existence', 'of', 'bound', 'states', 'between', 'champs', 'and', 'nuclei', 'including', 'possible', 'latetime', 'destruction', 'of', 'li6', 'and', 'li7', 'are', 'included', 'the', 'study', 'sets', 'conservative', 'bounds', 'on', 'champ', 'abundances', 'in', 'the', 'decay', 'time', 'range', '3x102', 'sec', '1012', 'sec', 'it', 'is', 'stressed', 'that', 'the', 'production', 'of', 'li6', 'at', 'early', 'times', 't', '10kev', 'is', 'overestimated', 'by', 'a', 'factor', '10', 'when', 'the', 'approximation', 'of', 'the', 'saha', 'equation', 'for', 'the', 'he4', 'bound', 'state', 'fraction', 'is', 'utilised', 'to', 'obtain', 'conservative', 'limits', 'on', 'the', 'abundance', 'of', 'champs', 'a', 'montecarlo', 'analysis', 'with', '3x106', 'independent', 'bbn', 'runs', 'varying', 'reaction', 'rates', 'of', 'nineteen', 'different', 'reactions', 'is', 'performed', 'see', 'attached', 'erratum', 'however', 'the', 'analysis', 'yields', 'the', 'surprising', 'result', 'that', 'except', 'for', 'small', 'areas', 'in', 'the', 'particle', 'parameter', 'space', 'conservative', 'constraints', 'on', 'the', 'abundance', 'of', 'decaying', 'charged', 'particles', 'are', 'currently', 'very', 'close', 'to', 'those', 'of', 'neutral', 'particles', 'it', 'is', 'shown', 'that', 'in', 'case', 'a', 'number', 'of', 'heretofore', 'unconsidered', 'reactions', 'may', 'be', 'determined', 'reliably', 'in', 'future', 'it', 'is', 'conceivable', 'that', 'the', 'limit', 'on', 'champs', 'in', 'the', 'early', 'universe', 'could', 'be', 'tightened', 'by', 'orders', 'of', 'magnitude', 'an', 'erratum', 'gives', 'limits', 'on', 'primordial', 'champ', 'densities', 'when', 'the', 'by', 'ref', 'kamimura', 'et', 'al', 'recently', 'more', 'accurately', 'determined', 'champ', 'reaction', 'rates', 'are', 'employed']] | [-0.07508847667673312, 0.2073151643144062, -0.04938416891339355, 0.11519893797471213, 0.0022773527424919224, -0.09241240239198055, 0.024066450243731406, 0.2598412097773489, -0.16700694486584275, -0.36102455812121886, 0.0557078423876734, -0.30646995839090385, 0.007909626507738588, 0.1979000334646083, -0.012904928597715606, 0.011579909461759748, 0.07259362655715298, 0.008929142908945064, -0.007591366014120793, -0.30282981909433415, 0.26856202945014923, 0.13928005429531592, 0.19519343662690883, 0.057344816621914166, 0.022161355095812966, -0.06450882648361352, -0.042895607972558196, -0.03848615739670253, -0.184207118039955, 0.03983923613917245, 0.22281273355100886, 0.11698532639705622, 0.15736813941722685, -0.4144487705064613, -0.20172526731066098, 0.16391007719324355, 0.15761925145201897, 0.10398223612312261, -0.07667214617779566, -0.2913940386139625, 0.07175650149873519, -0.16308324951294023, -0.13300947750568254, -0.026909152742201854, 0.08171197518048415, -0.01579394314487234, -0.26179402591147966, 0.13093044886519328, 0.0036821589888492174, -0.020193879162025457, -0.04695972193186299, -0.15624240250326693, -0.02900115598191789, 0.02732764342036141, 0.07592625108252732, 0.02122156963061003, 0.17038663087088032, -0.08577566502889225, -0.029749934448339385, 0.38979252220084465, -0.10737088156667529, -0.11076032563936128, 0.19311149945747483, -0.1601266548563, -0.17790645091375762, 0.18157543550531696, 0.13668708616617742, 0.13935504376529417, -0.15513467107573203, 0.14015189575729892, 0.0022164355993373403, 0.17994740778695656, 0.11484951741882352, 0.022421221317159474, 0.19013834131642357, 0.16096667032058717, 0.0381839667855967, 0.03171585330957496, -0.07830288222005138, -0.10005608561967816, -0.27887019905082266, -0.13025248895875613, -0.12482193178217431, 0.08261464477341554, -0.07883292594654892, -0.09466395459397922, 0.2723036011768539, 0.09985243638714673, 0.20892198813583598, -0.013639798682928512, 0.26703346181028614, 0.09765521660949095, 0.021060524117457895, 0.07176979405190283, 0.33014957426775915, 0.16033361358204942, 0.07803071892997591, -0.20224017848329054, 0.12407173469893361, 0.041575635776064976] |
710.5154 | One optional observation inflates $\alpha$ by $100/\sqrt{n}$ per cent | For one-sample level $\alpha$ tests $\psi_m$ based on independent
observations $X_1,...,X_m$, we prove an asymptotic formula for the actual level
of the test rejecting if at least one of the tests $\psi_{n},...,\psi_{n+k}$
would reject. For $k=1$ and usual tests at usual levels $\alpha$, the result is
approximately summarized by the title of this paper.
Our method of proof, relying on some second order asymptotic statistics as
developed by Pfanzagl and Wefelmeyer, might also be useful for proper
sequential analysis. A simple and elementary alternative proof is given for
$k=1$ in the special case of the Gauss test.
| math.ST stat.TH | for onesample level alpha tests psi_m based on independent observations x_1x_m we prove an asymptotic formula for the actual level of the test rejecting if at least one of the tests psi_npsi_nk would reject for k1 and usual tests at usual levels alpha the result is approximately summarized by the title of this paper our method of proof relying on some second order asymptotic statistics as developed by pfanzagl and wefelmeyer might also be useful for proper sequential analysis a simple and elementary alternative proof is given for k1 in the special case of the gauss test | [['for', 'onesample', 'level', 'alpha', 'tests', 'psi_m', 'based', 'on', 'independent', 'observations', 'x_1x_m', 'we', 'prove', 'an', 'asymptotic', 'formula', 'for', 'the', 'actual', 'level', 'of', 'the', 'test', 'rejecting', 'if', 'at', 'least', 'one', 'of', 'the', 'tests', 'psi_npsi_nk', 'would', 'reject', 'for', 'k1', 'and', 'usual', 'tests', 'at', 'usual', 'levels', 'alpha', 'the', 'result', 'is', 'approximately', 'summarized', 'by', 'the', 'title', 'of', 'this', 'paper', 'our', 'method', 'of', 'proof', 'relying', 'on', 'some', 'second', 'order', 'asymptotic', 'statistics', 'as', 'developed', 'by', 'pfanzagl', 'and', 'wefelmeyer', 'might', 'also', 'be', 'useful', 'for', 'proper', 'sequential', 'analysis', 'a', 'simple', 'and', 'elementary', 'alternative', 'proof', 'is', 'given', 'for', 'k1', 'in', 'the', 'special', 'case', 'of', 'the', 'gauss', 'test']] | [-0.06783768647917586, 0.06611488607574002, -0.11089030050850929, 0.0915692135396889, -0.07402661762774941, -0.17215571248844425, 0.09230388038261655, 0.2831842988788923, -0.1855826314261302, -0.3025366979938476, 0.13429011753141049, -0.2505531774343368, -0.09153003680601499, 0.24563037527308978, -0.05461860053796083, 0.033001042337731476, 0.04880899334688017, 0.09945413250317599, -0.0457464495346822, -0.275156934705979, 0.28777923838463315, 0.09561475506052375, 0.2563511452122413, 0.018718487692085353, 0.10633931375861644, 0.027091093178085508, -0.06495506033558954, 0.010718988602673833, -0.1406263193051192, 0.09066939033429197, 0.21990518721732052, 0.1371323465563306, 0.27987769819756453, -0.3759953653083203, -0.128796158254424, 0.09300573924655452, 0.11144178006872336, 0.06564007050040713, -0.006438587678279331, -0.24401073841170032, 0.14438746623853418, -0.10721709583192429, -0.1799286440871854, -0.0717596504091876, 0.005740198564339191, 0.019610056287034393, -0.3106033846815216, 0.08242400355873619, 0.13240289995434418, 0.0924292216424216, -0.009088965816462928, -0.17229189440865625, 0.0621522751641757, 0.08759162726717942, 0.08119669803566834, -0.012207706401278166, 0.06183312532610874, -0.07636504613130571, -0.11502905227640207, 0.36312551641876395, -0.07381307716206449, -0.20554019225900003, 0.16617332724111272, -0.1387775996204545, -0.21865879060660906, 0.07962079171433133, 0.11323384483879868, 0.15399362226115895, -0.12530800847812218, 0.06749045820423759, -0.0440040459222299, 0.16161386491829885, 0.12351740036714584, -0.022470428122881244, 0.16592506397679013, 0.12860688687168417, 0.05221038202239953, 0.11554961410683005, -0.06710934444291002, -0.02072918493092615, -0.40308154754816217, -0.1940123282987228, -0.2068867929319435, 0.05888219775280301, -0.1292945378792207, -0.1382692150395126, 0.36100838145865327, 0.13798538440878086, 0.1306531313717603, 0.09615771430098709, 0.2987867854486041, 0.154023226821161, -0.008648728892365669, 0.04559803126934678, 0.2170690475245368, 0.10113404497524049, -0.007243394108608048, -0.1291877625914454, 0.08287178770610518, 0.1194283443086959] |
710.5155 | Cosmological model with non-minimally coupled fermionic field | A model for the Universe is proposed whose constituents are: (a) a dark
energy field modeled by a fermionic field non-minimally coupled with the
gravitational field, (b) a matter field which consists of pressureless baryonic
and dark matter fields and (c) a field which represents the radiation and the
neutrinos. The coupled system of Dirac's equations and Einstein field equations
is solved numerically by considering a spatially flat homogeneous and isotropic
Universe. It is shown that the proposed model can reproduce the expected
red-shift behaviors of the deceleration parameter, of the density parameters of
each constituent and of the luminosity distance. Furthermore, for small values
of the red-shift the constant which couples the fermionic and gravitational
fields has a remarkable influence on the density and deceleration parameters.
| gr-qc | a model for the universe is proposed whose constituents are a a dark energy field modeled by a fermionic field nonminimally coupled with the gravitational field b a matter field which consists of pressureless baryonic and dark matter fields and c a field which represents the radiation and the neutrinos the coupled system of diracs equations and einstein field equations is solved numerically by considering a spatially flat homogeneous and isotropic universe it is shown that the proposed model can reproduce the expected redshift behaviors of the deceleration parameter of the density parameters of each constituent and of the luminosity distance furthermore for small values of the redshift the constant which couples the fermionic and gravitational fields has a remarkable influence on the density and deceleration parameters | [['a', 'model', 'for', 'the', 'universe', 'is', 'proposed', 'whose', 'constituents', 'are', 'a', 'a', 'dark', 'energy', 'field', 'modeled', 'by', 'a', 'fermionic', 'field', 'nonminimally', 'coupled', 'with', 'the', 'gravitational', 'field', 'b', 'a', 'matter', 'field', 'which', 'consists', 'of', 'pressureless', 'baryonic', 'and', 'dark', 'matter', 'fields', 'and', 'c', 'a', 'field', 'which', 'represents', 'the', 'radiation', 'and', 'the', 'neutrinos', 'the', 'coupled', 'system', 'of', 'diracs', 'equations', 'and', 'einstein', 'field', 'equations', 'is', 'solved', 'numerically', 'by', 'considering', 'a', 'spatially', 'flat', 'homogeneous', 'and', 'isotropic', 'universe', 'it', 'is', 'shown', 'that', 'the', 'proposed', 'model', 'can', 'reproduce', 'the', 'expected', 'redshift', 'behaviors', 'of', 'the', 'deceleration', 'parameter', 'of', 'the', 'density', 'parameters', 'of', 'each', 'constituent', 'and', 'of', 'the', 'luminosity', 'distance', 'furthermore', 'for', 'small', 'values', 'of', 'the', 'redshift', 'the', 'constant', 'which', 'couples', 'the', 'fermionic', 'and', 'gravitational', 'fields', 'has', 'a', 'remarkable', 'influence', 'on', 'the', 'density', 'and', 'deceleration', 'parameters']] | [-0.16618776646915706, 0.1913228352869472, -0.09401880669972207, 0.06180318715105816, -0.08213517297147296, -0.11525639806558767, -0.0704895807494314, 0.2942391771119176, -0.19012584713998976, -0.32565370291805146, 0.0056103663959019764, -0.22920520678455905, -0.05674034922080542, 0.14272644948287624, 0.06845784886175488, -0.001545192758936809, -0.01528768369920669, 0.07532005193716604, -0.03469315579314129, -0.25971923011820763, 0.36474016613847626, 0.06636813376832196, 0.22779136049143206, -0.025710364506675267, 0.1757289554161115, -0.042821672774381994, -0.018084404733413318, 0.07733092923450657, -0.1474734123205096, 0.03163606433498519, 0.15577638014696363, 0.08964901109130716, 0.22241825431834641, -0.378420527078446, -0.27617735676760746, 0.12214003303858238, 0.11264555979571415, 0.11867925029808993, -0.06380902965989434, -0.3135580222973028, -0.014569984499629087, -0.1699870570570113, -0.15496773228386607, -0.015542437271105023, 0.02965044285588729, 0.037083814445861035, -0.2831335647112331, 0.12382163408791691, -0.024593067703783278, -0.05124360326618895, -0.12617637357018213, -0.07271344351351232, -0.04384204493578905, 0.012925970419420032, 0.0804826938253864, 0.07474776080215541, 0.16112909280497023, -0.21980946065902007, -0.03091811552995772, 0.43254935440761366, -0.153434806259525, -0.18233477668910045, 0.15710475032518464, -0.11223231981999761, -0.04715764346554523, 0.1402656965573707, 0.13287571394508044, 0.0956042564261382, -0.1620039815728472, 0.1840751940993167, -0.028481713204651954, 0.19011115998499037, 0.04293613367911985, -0.006061267646718917, 0.32827644977043935, 0.12833639837097466, 0.011932637538819567, 0.06854021495692139, -0.06997955648969184, -0.08956787520359585, -0.3390062943973586, -0.16689586296941586, -0.19209600253191988, 0.04121723716095911, -0.13902210130990578, -0.16311672697550486, 0.4334003199038543, 0.1032784233331739, 0.16102828708015324, 0.017282456895666504, 0.29185868688954375, 0.1334402274549389, 0.052542290446352155, 0.10600907701309624, 0.3148926992526674, 0.21547404121182215, 0.09655538904407304, -0.26048755424287845, -0.03392562171532296, 0.015890972721793756] |
710.5156 | Hermitian structures defined by linear electromagnetic constitutive laws | It is demonstrated that when the bundle of 2-forms on a four-dimensional
manifold M admits an almost-complex structure any choice of "real + imaginary"
subspace decomposition of the bundle defines a conjugation map, as well as a
Hermitian structure for the bundle. When the almost-complex structure comes
from a linear electromagnetic constitutive law, the real and imaginary parts of
the Hermitian structure are then shown to represent the Hamiltonian for an
anisotropic three-dimensional electromagnetic oscillator at each point of M and
a symplectic structure for each fiber. The complex form of the oscillator
equations is also definable in terms of the geometric structures that were
introduced.
| hep-th | it is demonstrated that when the bundle of 2forms on a fourdimensional manifold m admits an almostcomplex structure any choice of real imaginary subspace decomposition of the bundle defines a conjugation map as well as a hermitian structure for the bundle when the almostcomplex structure comes from a linear electromagnetic constitutive law the real and imaginary parts of the hermitian structure are then shown to represent the hamiltonian for an anisotropic threedimensional electromagnetic oscillator at each point of m and a symplectic structure for each fiber the complex form of the oscillator equations is also definable in terms of the geometric structures that were introduced | [['it', 'is', 'demonstrated', 'that', 'when', 'the', 'bundle', 'of', '2forms', 'on', 'a', 'fourdimensional', 'manifold', 'm', 'admits', 'an', 'almostcomplex', 'structure', 'any', 'choice', 'of', 'real', 'imaginary', 'subspace', 'decomposition', 'of', 'the', 'bundle', 'defines', 'a', 'conjugation', 'map', 'as', 'well', 'as', 'a', 'hermitian', 'structure', 'for', 'the', 'bundle', 'when', 'the', 'almostcomplex', 'structure', 'comes', 'from', 'a', 'linear', 'electromagnetic', 'constitutive', 'law', 'the', 'real', 'and', 'imaginary', 'parts', 'of', 'the', 'hermitian', 'structure', 'are', 'then', 'shown', 'to', 'represent', 'the', 'hamiltonian', 'for', 'an', 'anisotropic', 'threedimensional', 'electromagnetic', 'oscillator', 'at', 'each', 'point', 'of', 'm', 'and', 'a', 'symplectic', 'structure', 'for', 'each', 'fiber', 'the', 'complex', 'form', 'of', 'the', 'oscillator', 'equations', 'is', 'also', 'definable', 'in', 'terms', 'of', 'the', 'geometric', 'structures', 'that', 'were', 'introduced']] | [-0.1993538657547019, 0.07115462306426794, -0.07634246263741737, 0.01782768055840972, -0.14051764751119272, -0.12807813341330204, -0.07729452875930638, 0.3719255012770494, -0.28460315769272193, -0.20228050664244662, 0.06661329675975833, -0.24058220625988075, -0.25031538074392645, 0.16091933563972513, -0.02299129748495207, 0.021186013887858107, 0.043981748276079695, 0.11274699268507815, -0.10534186190703795, -0.18560511827402348, 0.4352398883019175, 0.025424861593083256, 0.2350156291875811, -0.008787111196267818, 0.1891364314859467, 0.004303689216751428, 0.02726523814102014, -0.0071371404010625115, -0.04987551390395744, 0.09450153414204363, 0.23725962888981614, 0.06116191725290957, 0.19380813321054335, -0.38155933751591614, -0.19626076353625171, 0.12480515090837366, 0.09768415420715298, 0.02754377213617166, 0.02767012402570496, -0.2899253912536161, 0.07628479408809827, -0.10926404897389667, -0.16055776936312516, -0.10244598762974852, 0.07534696282375426, -0.012940723174029873, -0.23769109091732563, -0.04545840064224432, 0.08526566482836469, 0.0909327158438308, -0.12376032318210319, -0.07827441131784803, -0.10661218998111074, 0.09485042899946815, -0.01794308386077838, 0.04992460069202241, 0.14647569776557032, -0.07090672706919057, -0.0848922562430657, 0.44526354067382357, -0.0807248160087814, -0.29932921624609404, 0.07224018898393426, -0.12713432360351795, -0.10997379140351854, 0.15876480641641788, 0.10418733425349706, 0.10820133845423005, -0.06452580325809928, 0.20238587925365817, -0.08912388696058077, 0.12017570384251441, 0.0728914953103023, -0.028426715168392375, 0.15803933411925322, 0.11955362402922695, 0.08551535363353434, 0.12291786197927736, 0.0012488483562178554, -0.09901736641214007, -0.3526397344789335, -0.23260868283077366, -0.18640564725335154, 0.16713871310598083, -0.14171843044626128, -0.22615577308765966, 0.4184511093577991, -0.01732183853607802, 0.24479162374600058, 0.04967832706114721, 0.27396121602061957, 0.10143488184992401, 0.08013762490202983, 0.05394148128994164, 0.19112549126813455, 0.21739610806994494, 0.039956825984908004, -0.18297338149776415, -0.044853335854020855, 0.10075647973765929] |
710.5157 | A note on the logarithmic (p,p') fusion | The procedure in [Fuchs et al.] to obtain a fusion algebra from the modular
transformation of characters in logarithmic conformal field models is extended
to the (p,p') logarithmic models. The resulting fusion algebra coincides with
the Grothendieck ring of the quantum group of the (p,p') model.
| hep-th | the procedure in fuchs et al to obtain a fusion algebra from the modular transformation of characters in logarithmic conformal field models is extended to the pp logarithmic models the resulting fusion algebra coincides with the grothendieck ring of the quantum group of the pp model | [['the', 'procedure', 'in', 'fuchs', 'et', 'al', 'to', 'obtain', 'a', 'fusion', 'algebra', 'from', 'the', 'modular', 'transformation', 'of', 'characters', 'in', 'logarithmic', 'conformal', 'field', 'models', 'is', 'extended', 'to', 'the', 'pp', 'logarithmic', 'models', 'the', 'resulting', 'fusion', 'algebra', 'coincides', 'with', 'the', 'grothendieck', 'ring', 'of', 'the', 'quantum', 'group', 'of', 'the', 'pp', 'model']] | [-0.08257465028082547, 0.03037851706302836, -0.15325655897512383, 0.030644530807520547, -0.06860088583324915, -0.12274445110486577, -0.054049422254573314, 0.28035596987920935, -0.3601613342964455, -0.24600393045693636, 0.009260621372326885, -0.23842907435787114, -0.14209585406048142, 0.15221056323397256, -0.109776570117506, 0.04721805133411418, 0.021958975829993902, 0.10550549743778032, -0.09473541864882344, -0.3110884980339071, 0.3313233309789844, 0.14912316487322602, 0.29432539281475806, -0.020824063771768757, 0.08217654979544813, 0.06408908130074649, -0.059725568062909275, -0.06208065236189767, -0.08803772817001394, 0.14458189780429087, 0.2680354023666397, 0.0375941102595433, 0.15262636489680279, -0.35416688272000657, -0.11929167722068403, 0.10529024332113888, 0.0797610838452111, 0.11173687970427715, 0.0011724335313572185, -0.3076480650545462, 0.09477570258161944, -0.27453284880713275, -0.09944056713467707, -0.024440167775458616, 0.06687220043512872, -0.04122493227781809, -0.3245172175052373, 0.06795452789771408, 0.07291614252102116, 0.10462956972744154, -0.09311406761812775, -0.05790745803033528, -0.07338259290174945, 0.016584939859888476, -0.05782672016547345, 0.08678544886693683, 0.14759326025681652, -0.16864591784289348, -0.20204630230917878, 0.3695149792601233, -0.01660131932357731, -0.12516063573243824, 0.16626425705718526, -0.15172510863403263, -0.12993907992242146, 0.10855547047179678, 0.11978451049198276, 0.09640381139014727, -0.09428080898183196, 0.2704236253529139, -0.12505728901242433, 0.06227078628928765, 0.0800376222671374, -0.051988666406427714, 0.07942345509629535, 0.07272236298708974, -0.0569639612570071, 0.1547330781088575, -0.018571730333623356, -0.1261992386463807, -0.3910720448171639, -0.17020310791280202, -0.08314704757345759, 0.05241892197290841, -0.08657054572730609, -0.13716623324738897, 0.4061977260786554, 0.12095196944827204, 0.23901805706808102, 0.06396408215084154, 0.16683224196869717, 0.1352543053622155, 0.14761468564646077, 0.08125513705991856, 0.19736829705779319, 0.267828906947018, 0.05269747675629333, -0.2031589147037543, -0.05704600725363454, 0.2267749238273372] |
710.5158 | Ramond-Ramond Fields, Cohomology and Non-Geometric Fluxes | We consider compactifications of type II string theory in which a
d-dimensional torus is fibered over a base X. In string theory, the transition
functions of this fibration need not be simply diffeomorphisms of T^d but can
involve elements of the T-duality group Spin(d,d,Z). We precisely define the
notion of a T-fold with NSNS flux. Given such a T-fold, we define the
Z_2-graded cohomology theory describing the unquantized RR field strengths and
discuss how the data of a T-fold can be interpreted in terms of generalized
NSNS fluxes and the twisted differential of Shelton-Taylor-Wecht.
| hep-th math.AT | we consider compactifications of type ii string theory in which a ddimensional torus is fibered over a base x in string theory the transition functions of this fibration need not be simply diffeomorphisms of td but can involve elements of the tduality group spinddz we precisely define the notion of a tfold with nsns flux given such a tfold we define the z_2graded cohomology theory describing the unquantized rr field strengths and discuss how the data of a tfold can be interpreted in terms of generalized nsns fluxes and the twisted differential of sheltontaylorwecht | [['we', 'consider', 'compactifications', 'of', 'type', 'ii', 'string', 'theory', 'in', 'which', 'a', 'ddimensional', 'torus', 'is', 'fibered', 'over', 'a', 'base', 'x', 'in', 'string', 'theory', 'the', 'transition', 'functions', 'of', 'this', 'fibration', 'need', 'not', 'be', 'simply', 'diffeomorphisms', 'of', 'td', 'but', 'can', 'involve', 'elements', 'of', 'the', 'tduality', 'group', 'spinddz', 'we', 'precisely', 'define', 'the', 'notion', 'of', 'a', 'tfold', 'with', 'nsns', 'flux', 'given', 'such', 'a', 'tfold', 'we', 'define', 'the', 'z_2graded', 'cohomology', 'theory', 'describing', 'the', 'unquantized', 'rr', 'field', 'strengths', 'and', 'discuss', 'how', 'the', 'data', 'of', 'a', 'tfold', 'can', 'be', 'interpreted', 'in', 'terms', 'of', 'generalized', 'nsns', 'fluxes', 'and', 'the', 'twisted', 'differential', 'of', 'sheltontaylorwecht']] | [-0.2198857802153646, 0.1291919094004223, -0.05611736018656065, 0.12732379713460154, -0.09135735578551564, -0.13284945686894428, 0.030336455149707668, 0.31674855883213004, -0.2724449377425987, -0.24189252049014295, 0.09081089828522755, -0.2037562382073425, -0.16832749760183302, 0.14162655030984594, -0.16632195520113505, -0.06746418371229716, 0.002377001310536719, 0.09989180856222368, -0.1483785371478323, -0.2510306164445153, 0.4041084456826945, -0.03591258202947717, 0.23102837665330456, 0.0006622441072502862, 0.09917058021402107, -0.013218186790649981, -0.053372265933000526, 0.046788938292909574, -0.11924489572360787, 0.12731559923090768, 0.2809659753845114, 0.109510928493641, 0.08667639007224985, -0.4577374218598656, -0.22280101555035167, 0.15956050802639726, 0.15209982836740496, 0.07601263830261103, 0.03131995153734866, -0.264000728726387, 0.0704080184400284, -0.22219289554050192, -0.15628486539682615, -0.050219001633155604, 0.025975289634358058, 0.051758510949323114, -0.23463010776322335, -0.013316105474191516, 0.037447457566209465, 0.0642447218323587, -0.04729916017411439, -0.01998619457868778, -0.09060856544301318, 0.0636755934455837, 0.055359755487069895, 0.11199257075381668, 0.1259509237665359, -0.12011084086818459, -0.1525634154981083, 0.37257842983767064, -0.11389870786755953, -0.28608562576625013, 0.06224684379159716, -0.1372607072926653, -0.19245437934549284, 0.12326639137008107, 0.09795877743390916, 0.19827591015896556, -0.0827193857251626, 0.21055282534823916, -0.06877875642891487, 0.10575293641253981, 0.056901826948413385, 0.04267710976748039, 0.24635934954225694, 0.09607203514315188, 0.04714656630328492, 0.11628071932152481, -0.06368089795780732, -0.0811655750123622, -0.42899094424817874, -0.15412315980369307, -0.043930714960088546, 0.19960395519323673, -0.12409404620152402, -0.21184552732713358, 0.3653118417993107, 0.047292388611189694, 0.1818681355646771, 0.046529345531661936, 0.1743890539864483, 0.12981654242005036, 0.07815364765448739, 0.05574014743552138, 0.16718449515452527, 0.18454280924861846, 0.01873360516923561, -0.17226910864954573, -0.08515175353006824, 0.197609236271566] |
710.5159 | The Calabi flow on K\"ahler surface with bounded Sobolev constant | We consider the formation of singularities along the Calabi flow with the
assumption of the uniform Sobolev constant. In particular, on K\"ahler surface
we show that any "maximal bubble" has to be a scalar flat ALE K\"ahler metric.
In some certain classes on toric Fano surface, the Sobolev constant is a priori
bounded along the Calabi flow with small Calabi energy. Also we can show in
certain case no maximal bubble can form along the flow, it follows that the
curvature tensor is uniformly bounded and the flow exists for all time and
converges to an extremal metric subsequently. To illustrate our results more
clearly, we focus on an example on CP^2 blown up three points at generic
position. Our result also implies existence of constant scalar curvature
metrics on CP^2 blown up three points at generic position in the K\"ahler
classes where the exceptional divisors have the same area.
| math.DG math.AP | we consider the formation of singularities along the calabi flow with the assumption of the uniform sobolev constant in particular on kahler surface we show that any maximal bubble has to be a scalar flat ale kahler metric in some certain classes on toric fano surface the sobolev constant is a priori bounded along the calabi flow with small calabi energy also we can show in certain case no maximal bubble can form along the flow it follows that the curvature tensor is uniformly bounded and the flow exists for all time and converges to an extremal metric subsequently to illustrate our results more clearly we focus on an example on cp2 blown up three points at generic position our result also implies existence of constant scalar curvature metrics on cp2 blown up three points at generic position in the kahler classes where the exceptional divisors have the same area | [['we', 'consider', 'the', 'formation', 'of', 'singularities', 'along', 'the', 'calabi', 'flow', 'with', 'the', 'assumption', 'of', 'the', 'uniform', 'sobolev', 'constant', 'in', 'particular', 'on', 'kahler', 'surface', 'we', 'show', 'that', 'any', 'maximal', 'bubble', 'has', 'to', 'be', 'a', 'scalar', 'flat', 'ale', 'kahler', 'metric', 'in', 'some', 'certain', 'classes', 'on', 'toric', 'fano', 'surface', 'the', 'sobolev', 'constant', 'is', 'a', 'priori', 'bounded', 'along', 'the', 'calabi', 'flow', 'with', 'small', 'calabi', 'energy', 'also', 'we', 'can', 'show', 'in', 'certain', 'case', 'no', 'maximal', 'bubble', 'can', 'form', 'along', 'the', 'flow', 'it', 'follows', 'that', 'the', 'curvature', 'tensor', 'is', 'uniformly', 'bounded', 'and', 'the', 'flow', 'exists', 'for', 'all', 'time', 'and', 'converges', 'to', 'an', 'extremal', 'metric', 'subsequently', 'to', 'illustrate', 'our', 'results', 'more', 'clearly', 'we', 'focus', 'on', 'an', 'example', 'on', 'cp2', 'blown', 'up', 'three', 'points', 'at', 'generic', 'position', 'our', 'result', 'also', 'implies', 'existence', 'of', 'constant', 'scalar', 'curvature', 'metrics', 'on', 'cp2', 'blown', 'up', 'three', 'points', 'at', 'generic', 'position', 'in', 'the', 'kahler', 'classes', 'where', 'the', 'exceptional', 'divisors', 'have', 'the', 'same', 'area']] | [-0.18455987769101437, 0.09448923411488068, -0.07097996311572691, 0.04958441047774007, -0.09025862203910946, -0.13887001821771264, -0.03237649562923858, 0.3760235455011328, -0.2594531583165129, -0.20504398176213726, 0.11517782125932476, -0.2858099667355418, -0.13692386792662242, 0.2023836609472831, -0.11319193316934009, 0.009887930468345681, 0.04670624665450305, 0.08614160789176822, -0.08757861523889005, -0.3045240705134347, 0.4517192836819838, -0.022491973342063525, 0.25022598329310614, 0.14641748564317822, 0.10783097921560209, -0.06377405114433107, 0.038290116048107545, 0.04107971988928815, -0.1951010331857833, 0.07975061885391672, 0.19297136309556662, 0.0639892620810618, 0.19379640749345223, -0.3803230098138253, -0.2316793268546462, 0.18809031193765502, 0.12010782074338446, 0.07011477401169638, -0.0459607961770962, -0.24387507988605647, 0.12558123272067556, -0.07268531325583656, -0.21531220950186253, -0.07502417735755444, -0.01565012021921575, 0.01796759092559417, -0.1889017181408902, 0.015372305775914962, 0.07614279832690954, 0.045678582036246855, -0.08742221039564659, -0.07025831706511478, -0.09090851325852176, 0.07232187516056002, 0.10273711479501799, 0.10126448677231868, 0.117876631875212, -0.09702197579007285, -0.05658231396383295, 0.34477798799518494, -0.14272687938374778, -0.2751019044965506, 0.12089608958922327, -0.1515397156557689, -0.12534436476261665, 0.14646950599271805, 0.15095275408277908, 0.1965454023393492, -0.048679559873417017, 0.159951587759424, -0.08505412219441495, 0.11234716548273961, 0.1647669614168505, -0.04866730642116939, 0.13793052307019632, 0.08121728838266185, 0.18830794627933453, 0.12348400845580423, -0.05199502944480628, -0.1177976680919528, -0.4008842039046188, -0.16875760878125826, -0.15713284867582844, 0.1647962415839235, -0.21652850702696014, -0.18547453670452038, 0.3944313258910552, 0.0016118562407791614, 0.23761106432764792, 0.08865439164762695, 0.2245518208753007, 0.03429677126153062, 0.031244225348345936, 0.17009683001786471, 0.24395611369303272, 0.10409463323652744, 0.047246719676380354, -0.15710014967558283, -0.0223213393582652, 0.12634290980233345] |
710.516 | Onset of mechanical stability in random packings of frictional spheres | Using sedimentation to obtain precisely controlled packings of noncohesive
spheres, we find that the volume fraction $\phi_{\rm RLP}$ of the loosest
mechanically stable packing is in an operational sense well defined by a limit
process. This random loose packing volume fraction decreases with decreasing
pressure $p$ and increasing interparticle friction coefficient $\mu$. Using
X-ray tomography to correct for a container boundary effect that depends on
particle size, we find for rough particles in the limit $p \to 0$ a new lower
bound, $\phi_{\rm RLP} = 0.550 \pm 0.001$.
| cond-mat.soft cond-mat.stat-mech | using sedimentation to obtain precisely controlled packings of noncohesive spheres we find that the volume fraction phi_rm rlp of the loosest mechanically stable packing is in an operational sense well defined by a limit process this random loose packing volume fraction decreases with decreasing pressure p and increasing interparticle friction coefficient mu using xray tomography to correct for a container boundary effect that depends on particle size we find for rough particles in the limit p to 0 a new lower bound phi_rm rlp 0550 pm 0001 | [['using', 'sedimentation', 'to', 'obtain', 'precisely', 'controlled', 'packings', 'of', 'noncohesive', 'spheres', 'we', 'find', 'that', 'the', 'volume', 'fraction', 'phi_rm', 'rlp', 'of', 'the', 'loosest', 'mechanically', 'stable', 'packing', 'is', 'in', 'an', 'operational', 'sense', 'well', 'defined', 'by', 'a', 'limit', 'process', 'this', 'random', 'loose', 'packing', 'volume', 'fraction', 'decreases', 'with', 'decreasing', 'pressure', 'p', 'and', 'increasing', 'interparticle', 'friction', 'coefficient', 'mu', 'using', 'xray', 'tomography', 'to', 'correct', 'for', 'a', 'container', 'boundary', 'effect', 'that', 'depends', 'on', 'particle', 'size', 'we', 'find', 'for', 'rough', 'particles', 'in', 'the', 'limit', 'p', 'to', '0', 'a', 'new', 'lower', 'bound', 'phi_rm', 'rlp', '0550', 'pm', '0001']] | [-0.11977862062510745, 0.29697781813684876, -0.0892893705147736, 0.012601120904026635, -0.0029976162310133034, -0.10980431307053685, 0.13597486619891105, 0.3197413266518678, -0.2631060553650404, -0.31441030199585973, 0.03819723775471164, -0.30940921844689756, -0.06117989391141341, 0.16005860984287942, -0.08394363343758487, 0.09622591676661509, 0.015442809740338346, -0.008975628929362557, -0.05199806463380141, -0.2240230099233831, 0.1987277133010285, 0.03710401155611222, 0.23569256506175146, 0.09852729878527508, 0.0779203971313987, 0.055981356018878874, 0.06139179982844441, 0.11312923610916939, -0.30748953504421633, 0.01886398474225539, 0.16989123424643587, -0.007126124067253423, 0.213411424105623, -0.3444630956576987, -0.15456744815435677, 0.12101301984411889, 0.13747271240271372, 0.016810255802247202, -0.02941965420553782, -0.1986222983439635, 0.09898162140757188, -0.14751724029714564, -0.15923130469953364, -0.0040209759133814395, 0.13617918792919353, 0.02280701936661512, -0.2783277827347147, 0.17981003457680345, 0.03526322049190472, 0.02066261631211844, -0.08089947282208194, -0.1440429651745777, -0.020410635125898254, 0.04757150224056737, 0.0011167347979137738, 0.06930951174648328, 0.2574253808385853, -0.09397566565526543, 0.003362320039699646, 0.39650501244455233, -0.06184342364384525, -0.2139363425473372, 0.17312588593012643, -0.188959878585676, -0.11330750145703211, 0.22653689686123324, 0.17718413597422428, 0.10804689566647613, -0.06780238052423315, 0.05322482636474052, -0.05926409788595662, 0.25400421290990266, 0.15173379701144737, -0.038281113931630875, 0.1723318638215805, 0.17309346314032573, 0.13807223808427138, 0.19786074687325364, -0.082595760998284, -0.05583744319476958, -0.2349688039661717, -0.1629294170335674, -0.21773546190140233, 0.07165548573635303, -0.16740562952770557, -0.19516318414397751, 0.1614202635694595, 0.06187668442726135, 0.24240246701493173, 0.15233257842175235, 0.24332102146213766, 0.10967157127860205, -0.007716923265653695, 0.08733595651306811, 0.23969941376440826, 0.15014338016178158, 0.06912676596361074, -0.19901921459334507, 0.055024789844307746, 0.061456401166024396] |
710.5161 | Decomposable Subspaces, Linear Sections of Grassmann Varieties, and
Higher Weights of Grassmann Codes | Given a homogeneous component of an exterior algebra, we characterize those
subspaces in which every nonzero element is decomposable. In geometric terms,
this corresponds to characterizing the projective linear subvarieties of the
Grassmann variety with its Plucker embedding. When the base field is finite, we
consider the more general question of determining the maximum number of points
on sections of Grassmannians by linear subvarieties of a fixed (co)dimension.
This corresponds to a known open problem of determining the complete weight
hierarchy of linear error correcting codes associated to Grassmann varieties.
We recover most of the known results as well as prove some new results. In the
process we obtain, and utilize, a simple generalization of the Griesmer-Wei
bound for arbitrary linear codes.
| math.AG cs.IT math.IT | given a homogeneous component of an exterior algebra we characterize those subspaces in which every nonzero element is decomposable in geometric terms this corresponds to characterizing the projective linear subvarieties of the grassmann variety with its plucker embedding when the base field is finite we consider the more general question of determining the maximum number of points on sections of grassmannians by linear subvarieties of a fixed codimension this corresponds to a known open problem of determining the complete weight hierarchy of linear error correcting codes associated to grassmann varieties we recover most of the known results as well as prove some new results in the process we obtain and utilize a simple generalization of the griesmerwei bound for arbitrary linear codes | [['given', 'a', 'homogeneous', 'component', 'of', 'an', 'exterior', 'algebra', 'we', 'characterize', 'those', 'subspaces', 'in', 'which', 'every', 'nonzero', 'element', 'is', 'decomposable', 'in', 'geometric', 'terms', 'this', 'corresponds', 'to', 'characterizing', 'the', 'projective', 'linear', 'subvarieties', 'of', 'the', 'grassmann', 'variety', 'with', 'its', 'plucker', 'embedding', 'when', 'the', 'base', 'field', 'is', 'finite', 'we', 'consider', 'the', 'more', 'general', 'question', 'of', 'determining', 'the', 'maximum', 'number', 'of', 'points', 'on', 'sections', 'of', 'grassmannians', 'by', 'linear', 'subvarieties', 'of', 'a', 'fixed', 'codimension', 'this', 'corresponds', 'to', 'a', 'known', 'open', 'problem', 'of', 'determining', 'the', 'complete', 'weight', 'hierarchy', 'of', 'linear', 'error', 'correcting', 'codes', 'associated', 'to', 'grassmann', 'varieties', 'we', 'recover', 'most', 'of', 'the', 'known', 'results', 'as', 'well', 'as', 'prove', 'some', 'new', 'results', 'in', 'the', 'process', 'we', 'obtain', 'and', 'utilize', 'a', 'simple', 'generalization', 'of', 'the', 'griesmerwei', 'bound', 'for', 'arbitrary', 'linear', 'codes']] | [-0.16179847437984596, 0.05142502838753891, -0.01966569424329772, 0.057642459975773094, -0.08201993053802097, -0.13726641911597662, 0.0018013432960618627, 0.2877771412907553, -0.32680360620075544, -0.21270441574868093, 0.11544616208969777, -0.22997142697014838, -0.14807147999517312, 0.2045937740390212, -0.14715879209616706, 0.042480361159633044, 0.04492009858727553, 0.10376560393228265, -0.13540559842766933, -0.3153536293428576, 0.40820103888746256, 0.01711513607354819, 0.20802766696765465, 0.0210170359552784, 0.15063271699627198, 0.045697102673382554, -0.04061848334660215, 0.014325938522353891, -0.1486900178003625, 0.14789782041079588, 0.3191390223878105, 0.137826004710187, 0.20679170258866608, -0.3483845390606006, -0.1882778553769362, 0.19161721673209128, 0.13969629642280387, 0.12488518840313913, 0.016407443855457154, -0.19779072504890852, 0.1032941163082661, -0.1367054942471922, -0.17845649876408587, -0.05455124763048385, 0.01921029818101886, 0.01151664896044603, -0.2613224674416475, -0.019151441341127493, 0.12111954341069141, 0.12297983895200747, -0.06741332565145644, -0.1425605677481941, -0.02113927229815586, 0.09248275511002375, -0.038782991585562254, 0.04253245573413889, 0.050562190653444535, -0.11668924628833909, -0.1266693418676203, 0.39139897619520336, -0.04966238948077825, -0.26883726826414833, 0.12193974171388001, -0.13083390792647054, -0.11706202115463324, 0.10797921217177525, 0.1722778884255258, 0.15543809587382212, -0.07307408062593476, 0.14114157462921686, -0.1408214086805247, 0.07664097053833953, 0.09654110894068953, 0.03669906320475611, 0.15039995234567394, 0.12729607558855402, 0.11534721804166997, 0.18033526141642908, -0.030242555419248644, -0.05521134441826216, -0.3564165254654594, -0.17739068865169932, -0.1452321646165503, 0.10601044578808706, -0.14818568814010455, -0.20434197319348243, 0.40324109831193755, 0.06688939368983438, 0.2586637084210707, 0.09232930755839214, 0.24238660160359765, 0.10740202242577802, 0.03392846487878152, 0.09854243907496364, 0.15872572332910215, 0.2402388499838046, -0.048384625914945335, -0.1700069168438242, 0.01836123737465198, 0.15613007543931814] |
710.5162 | Kinematics and Composition of the Galactic Bulge: Recent Progress | We present recent results from a Keck study of the composition of the
Galactic bulge, as well as results from the bulge Bulge Radial Velocity Assay
(BRAVA). Culminating a 10 year investigation, Fulbright, McWilliam, & Rich
(2006, 2007) solved the problem of deriving the iron abundance in the Galactic
bulge, and find enhanced alpha element abundances, consistent with the earlier
work of McWilliam & Rich (1994). We also report on a radial velocity survey of
{\sl 2MASS}-selected M giant stars in the Galactic bulge, observed with the
CTIO 4m Hydra multi-object spectrograph. This program is to test dynamical
models of the bulge and to search for and map any dynamically cold substructure
in the Galactic bulge. We show initial results on fields at $-10^{\circ} < l
<+10^{\circ}$ and $b=-4^{\circ}$. We construct a longitude-velocity plot for
the bulge stars and the model data, and find that contrary to previous studies,
the bulge does not rotate as a solid body; from $-5^{\circ}<l<+5^{\circ}$ the
rotation curve has a slope of $\approx 100 km s^{-1}$ and flattens considerably
at greater $l$ and reaches a maximum rotation of $45 {km s^{-1}}$
(heliocentric) or $\sim 70 {km s^{-1}}$ (Galactocentric). This rotation is
slower than that predicted by the dynamical model of Zhao (1996).
| astro-ph | we present recent results from a keck study of the composition of the galactic bulge as well as results from the bulge bulge radial velocity assay brava culminating a 10 year investigation fulbright mcwilliam rich 2006 2007 solved the problem of deriving the iron abundance in the galactic bulge and find enhanced alpha element abundances consistent with the earlier work of mcwilliam rich 1994 we also report on a radial velocity survey of sl 2massselected m giant stars in the galactic bulge observed with the ctio 4m hydra multiobject spectrograph this program is to test dynamical models of the bulge and to search for and map any dynamically cold substructure in the galactic bulge we show initial results on fields at 10circ l 10circ and b4circ we construct a longitudevelocity plot for the bulge stars and the model data and find that contrary to previous studies the bulge does not rotate as a solid body from 5circl5circ the rotation curve has a slope of approx 100 km s1 and flattens considerably at greater l and reaches a maximum rotation of 45 km s1 heliocentric or sim 70 km s1 galactocentric this rotation is slower than that predicted by the dynamical model of zhao 1996 | [['we', 'present', 'recent', 'results', 'from', 'a', 'keck', 'study', 'of', 'the', 'composition', 'of', 'the', 'galactic', 'bulge', 'as', 'well', 'as', 'results', 'from', 'the', 'bulge', 'bulge', 'radial', 'velocity', 'assay', 'brava', 'culminating', 'a', '10', 'year', 'investigation', 'fulbright', 'mcwilliam', 'rich', '2006', '2007', 'solved', 'the', 'problem', 'of', 'deriving', 'the', 'iron', 'abundance', 'in', 'the', 'galactic', 'bulge', 'and', 'find', 'enhanced', 'alpha', 'element', 'abundances', 'consistent', 'with', 'the', 'earlier', 'work', 'of', 'mcwilliam', 'rich', '1994', 'we', 'also', 'report', 'on', 'a', 'radial', 'velocity', 'survey', 'of', 'sl', '2massselected', 'm', 'giant', 'stars', 'in', 'the', 'galactic', 'bulge', 'observed', 'with', 'the', 'ctio', '4m', 'hydra', 'multiobject', 'spectrograph', 'this', 'program', 'is', 'to', 'test', 'dynamical', 'models', 'of', 'the', 'bulge', 'and', 'to', 'search', 'for', 'and', 'map', 'any', 'dynamically', 'cold', 'substructure', 'in', 'the', 'galactic', 'bulge', 'we', 'show', 'initial', 'results', 'on', 'fields', 'at', '10circ', 'l', '10circ', 'and', 'b4circ', 'we', 'construct', 'a', 'longitudevelocity', 'plot', 'for', 'the', 'bulge', 'stars', 'and', 'the', 'model', 'data', 'and', 'find', 'that', 'contrary', 'to', 'previous', 'studies', 'the', 'bulge', 'does', 'not', 'rotate', 'as', 'a', 'solid', 'body', 'from', '5circl5circ', 'the', 'rotation', 'curve', 'has', 'a', 'slope', 'of', 'approx', '100', 'km', 's1', 'and', 'flattens', 'considerably', 'at', 'greater', 'l', 'and', 'reaches', 'a', 'maximum', 'rotation', 'of', '45', 'km', 's1', 'heliocentric', 'or', 'sim', '70', 'km', 's1', 'galactocentric', 'this', 'rotation', 'is', 'slower', 'than', 'that', 'predicted', 'by', 'the', 'dynamical', 'model', 'of', 'zhao', '1996']] | [-0.06656819166809247, 0.09829807527925782, -0.10831067716647493, 0.03822220823414033, -0.11868811676585309, -0.07837370125581752, 0.05425700095210151, 0.37051414990207493, -0.16270379370394264, -0.374045962089728, 0.04053338573920531, -0.2984644393183033, -0.01815122588754327, 0.22264046151603636, -0.04878105800587333, -0.03390257363034744, 0.07963212118437975, -0.07555665643101946, -0.06030440972518582, -0.2523125508145457, 0.2318579237908125, 0.06037400008696777, 0.1509032608655346, -0.06647897351966563, 0.09257732351837301, -0.08934635283093494, -0.07212264855198636, -0.017064105254819266, -0.22108578637144632, 0.05897574386695437, 0.19209437130219986, 0.1459922729461168, 0.19644114133984883, -0.3165294046947124, -0.17324551191909404, 0.04032833635862364, 0.20700297567474432, 0.05805268750922515, -0.052371738182316246, -0.2665850865230481, 0.055837344613080694, -0.17229455270998106, -0.2356351955222095, 0.07455154223134741, 0.09760764563262536, 0.01960694052781541, -0.1966435726072713, 0.13469198512101874, 0.05111536336342325, 0.19248858870163854, -0.11191839611591163, -0.16979385221764298, -0.09348266382844621, 0.02164898403473014, 0.026939388049886295, 0.15312507970253983, 0.17544263652018685, -0.08020632103717157, -0.013066116323934333, 0.3786903892523876, -0.12379437047185084, 0.016656301742751557, 0.17966713734422948, -0.23156486773208743, -0.14861826028093916, 0.09253198376656187, 0.18314574254644425, 0.11951709124328809, -0.1279232292297748, 0.0709235049498332, -0.09684269181348955, 0.22494957025513274, 0.07852253100678029, -0.035598268197609646, 0.27306279077397494, 0.09308492502723222, 0.07441197521984577, 0.04620695098892251, -0.25703805993486306, -0.06733917123130938, -0.2159472968945704, -0.12320437296616411, -0.06789682269797172, 0.05690846290091562, -0.14006345242775958, -0.0816909346711075, 0.3282196363618616, 0.0853122350584605, 0.255915249293292, 0.06777741973215454, 0.2940437110223909, 0.02386863420470756, 0.12621592750685234, 0.14835912021946643, 0.33079597777640907, 0.18930890274782766, 0.12473133749715837, -0.22860408791151857, 0.05348635688357834, -0.004142988888122658] |
710.5163 | Newly Discovered Cataclysmic Variables from the INT/WFC Photometric H
alpha Survey of the Northern Galactic Plane | We report the discovery of 11 new cataclysmic variable (CV) candidates by the
Isaac Newton Telescope (INT) Photometric H alpha Survey of the northern
Galactic plane (IPHAS). Three of the systems have been the subject of further
follow-up observations. For the CV candidates IPHAS J013031.90+622132.4 and
IPHAS J051814.34+294113.2, time-resolved optical spectroscopy has been obtained
and radial-velocity measurements of the H alpha emission-line have been used to
estimate their orbital periods. A third CV candidate (IPHAS J062746.41+
014811.3) was observed photometrically and found to be eclipsing. All three
systems have orbital periods above the CV period-gap of 2-3 h. We also
highlight one other system, IPHAS J025827.88+635234.9, whose spectrum
distinguishes it as a likely high luminosity object with unusual C and N
abundances.
| astro-ph | we report the discovery of 11 new cataclysmic variable cv candidates by the isaac newton telescope int photometric h alpha survey of the northern galactic plane iphas three of the systems have been the subject of further followup observations for the cv candidates iphas j013031906221324 and iphas j051814342941132 timeresolved optical spectroscopy has been obtained and radialvelocity measurements of the h alpha emissionline have been used to estimate their orbital periods a third cv candidate iphas j06274641 0148113 was observed photometrically and found to be eclipsing all three systems have orbital periods above the cv periodgap of 23 h we also highlight one other system iphas j025827886352349 whose spectrum distinguishes it as a likely high luminosity object with unusual c and n abundances | [['we', 'report', 'the', 'discovery', 'of', '11', 'new', 'cataclysmic', 'variable', 'cv', 'candidates', 'by', 'the', 'isaac', 'newton', 'telescope', 'int', 'photometric', 'h', 'alpha', 'survey', 'of', 'the', 'northern', 'galactic', 'plane', 'iphas', 'three', 'of', 'the', 'systems', 'have', 'been', 'the', 'subject', 'of', 'further', 'followup', 'observations', 'for', 'the', 'cv', 'candidates', 'iphas', 'j013031906221324', 'and', 'iphas', 'j051814342941132', 'timeresolved', 'optical', 'spectroscopy', 'has', 'been', 'obtained', 'and', 'radialvelocity', 'measurements', 'of', 'the', 'h', 'alpha', 'emissionline', 'have', 'been', 'used', 'to', 'estimate', 'their', 'orbital', 'periods', 'a', 'third', 'cv', 'candidate', 'iphas', 'j06274641', '0148113', 'was', 'observed', 'photometrically', 'and', 'found', 'to', 'be', 'eclipsing', 'all', 'three', 'systems', 'have', 'orbital', 'periods', 'above', 'the', 'cv', 'periodgap', 'of', '23', 'h', 'we', 'also', 'highlight', 'one', 'other', 'system', 'iphas', 'j025827886352349', 'whose', 'spectrum', 'distinguishes', 'it', 'as', 'a', 'likely', 'high', 'luminosity', 'object', 'with', 'unusual', 'c', 'and', 'n', 'abundances']] | [-0.11141172622968763, 0.0698645045129775, -0.07236242441637121, 0.029797308485160164, -0.1469009492610549, -0.1747736933857909, 0.1023734808821183, 0.41897743488742234, -0.1806105884968239, -0.39664832926515875, 0.11347711471648052, -0.354975017962339, -0.0644329759329437, 0.24790987522533997, -0.039430786518315816, 0.06402331330524437, 0.09210545082319656, -0.06153013444192515, -0.005968081949535629, -0.36717503617421304, 0.20612791540494574, 0.002003916190005839, 0.09579392658257536, -0.11496994318841988, 0.052336870744856524, -0.059196907739407896, -0.11685375037506737, -0.03813363517763029, -0.15324107763871295, 0.05590281983163079, 0.24605653496009522, 0.1380404963856563, 0.2171626659391191, -0.2271118308116425, -0.19254833015870174, 0.07917054379278601, 0.18557340073286846, -0.025041666603446457, -0.0241352668642227, -0.2743069999048422, 0.056443438513991265, -0.1594148235122577, -0.17991361965361083, -0.00984618673903932, 0.16923307990334158, 0.09229331010766177, -0.18162995135584237, 0.04781198096516791, -0.01762688496342764, 0.19060917359832996, -0.16920745310951665, -0.17349650115798357, -0.0992105472280949, 0.07065058465854361, -0.017791149688178097, 0.1226702761386746, 0.06146078825735583, -0.10446523133552922, -0.0958883751119519, 0.3567605581343302, -0.06438509076592866, 0.03818050918072976, 0.17996616252388903, -0.19603459026006148, -0.21594096232880036, 0.13119252634752573, 0.13884429177590485, 0.1821032133884728, -0.2175677719762838, 0.042707577889688826, -0.026891052718916588, 0.1963265544357549, 0.009356551835763043, 0.10830532569349904, 0.2983583753029334, 0.05997087554363855, 0.0016932557748454012, 0.11248233251159225, -0.3852695017442878, 0.002739887475838949, -0.21199865959151165, -0.15481654557014077, -0.1505727687356833, 0.08398269828467164, -0.05873733720740159, -0.09651431845147805, 0.3843919195893124, 0.08577489119237851, 0.17834121261819683, -0.062036465586500306, 0.23220985008660575, 0.1061742886366997, 0.11057417973342094, 0.04752770434776, 0.36970289495516695, 0.18572057340824014, 0.13199958509107218, -0.23055538029313602, 0.09206625011926196, 0.014995242597471023] |
710.5164 | Spin-Dependent Scattering off Neutral Antimony Donors in 28-Si
Field-Effect Transistors | We report measurements of spin-dependent scattering of conduction electrons
by neutral donors in an accumulation-mode field-effect transistor formed in
isotopically enriched silicon. Spin-dependent scattering was detected using
electrically detected magnetic resonance where the spectra show resonant
changes in the source-drain voltage for conduction electrons and electrons
bound to donors. We discuss the utilization of spin-dependent scattering as a
mechanism for the readout of donor spin-states in silicon based quantum
computers.
| cond-mat.mtrl-sci | we report measurements of spindependent scattering of conduction electrons by neutral donors in an accumulationmode fieldeffect transistor formed in isotopically enriched silicon spindependent scattering was detected using electrically detected magnetic resonance where the spectra show resonant changes in the sourcedrain voltage for conduction electrons and electrons bound to donors we discuss the utilization of spindependent scattering as a mechanism for the readout of donor spinstates in silicon based quantum computers | [['we', 'report', 'measurements', 'of', 'spindependent', 'scattering', 'of', 'conduction', 'electrons', 'by', 'neutral', 'donors', 'in', 'an', 'accumulationmode', 'fieldeffect', 'transistor', 'formed', 'in', 'isotopically', 'enriched', 'silicon', 'spindependent', 'scattering', 'was', 'detected', 'using', 'electrically', 'detected', 'magnetic', 'resonance', 'where', 'the', 'spectra', 'show', 'resonant', 'changes', 'in', 'the', 'sourcedrain', 'voltage', 'for', 'conduction', 'electrons', 'and', 'electrons', 'bound', 'to', 'donors', 'we', 'discuss', 'the', 'utilization', 'of', 'spindependent', 'scattering', 'as', 'a', 'mechanism', 'for', 'the', 'readout', 'of', 'donor', 'spinstates', 'in', 'silicon', 'based', 'quantum', 'computers']] | [-0.14762164170055517, 0.23892817647782585, 0.06151318298652768, 0.012229971361479589, 0.054296142491512, -0.225765427807346, 0.11935891642102174, 0.43452831554625715, -0.22234908054981914, -0.3365760572254658, -0.10760226283621575, -0.3652540591279311, -0.06593944723052637, 0.21478987472530986, 0.039516026539994135, -0.024680472218564578, 0.04723964954859444, -0.0958801112270781, -0.06364780721653784, -0.17606174042115785, 0.2289336677150069, 0.055096464961700675, 0.26878773572721654, 0.17875807857406992, 0.056076787166031344, 0.05935559788984912, 0.11592114390140133, -0.09452527991629073, -0.05246573258565539, 0.07871985043592368, 0.28222474188078195, -0.13584018365613051, 0.12169522515365055, -0.5697016439799751, -0.15137890369764395, -0.035647124138527685, 0.1831152832002512, 0.1401150587413992, -0.17789387058998857, -0.30473201375986847, -0.00683618818542787, -0.1712315005383321, -0.07789037999963122, 0.0011119565327784844, 0.010913148635466184, -0.0018244974581258639, -0.2270063494945394, 0.07616159020690247, 0.029851355722972324, -0.008937654878744589, -0.13410654244279221, -0.11165201334681894, -0.04341465048491955, -4.2702443481955144e-05, -0.04130336812564305, -0.05257140641499843, 0.31661837014502714, -0.09628797040453979, -0.17621283017631087, 0.27932638380443675, -0.11081145251435894, -0.08210701064339705, 0.1137324543104374, -0.2382678215217311, -0.018387454322406224, 0.15616203009017876, 0.14791148785235628, 0.14597000405192376, -0.240789329792772, 0.07402094718917007, 0.01776436483487487, 0.14644258639642171, 0.08625633744522929, 0.1432579086361719, 0.2743596613673227, 0.26534185372292995, 0.014296611604679908, 0.12773219756782056, -0.2343696430325508, 0.06257138143160514, -0.17695289216935634, -0.20174015688327407, -0.20784367317599908, 0.1742425300812881, 0.03495476432165431, -0.17440911612606474, 0.36625977371420176, 0.1125407748323466, 0.14074427341776236, -0.13493575203631605, 0.31762899202959877, 0.1673127949071516, 0.10025959682118679, 0.014140714219372187, 0.3016116697873388, 0.27263895225644647, 0.09955812582213963, -0.34149872245533125, 0.06358149433508516, -0.051143301571054116] |
710.5165 | Nuclear spin polarization following intermediate-energy heavy-ion
reactions | Intermediate-energy heavy-ion collisions can produce a spin polarization of
the projectile-like species. Spin polarization has been observed for both
nucleon removal and nucleon pickup processes. Qualitative agreement with
measured spin polarization as a function of the momentum of the projectile-like
fragment is found in a kinematical model that considers conservation of linear
and angular momentum and assumes peripheral interactions between the fast
projectile and target. Better quantitative agreement was reached by including
more realistic angular distributions, de-orientation caused by gamma-ray
emission, and by correcting for the out-of-plane acceptance. The newly
introduced corrections were found to apply to both nucleon removal and nucleon
pickup processes.
| nucl-ex | intermediateenergy heavyion collisions can produce a spin polarization of the projectilelike species spin polarization has been observed for both nucleon removal and nucleon pickup processes qualitative agreement with measured spin polarization as a function of the momentum of the projectilelike fragment is found in a kinematical model that considers conservation of linear and angular momentum and assumes peripheral interactions between the fast projectile and target better quantitative agreement was reached by including more realistic angular distributions deorientation caused by gammaray emission and by correcting for the outofplane acceptance the newly introduced corrections were found to apply to both nucleon removal and nucleon pickup processes | [['intermediateenergy', 'heavyion', 'collisions', 'can', 'produce', 'a', 'spin', 'polarization', 'of', 'the', 'projectilelike', 'species', 'spin', 'polarization', 'has', 'been', 'observed', 'for', 'both', 'nucleon', 'removal', 'and', 'nucleon', 'pickup', 'processes', 'qualitative', 'agreement', 'with', 'measured', 'spin', 'polarization', 'as', 'a', 'function', 'of', 'the', 'momentum', 'of', 'the', 'projectilelike', 'fragment', 'is', 'found', 'in', 'a', 'kinematical', 'model', 'that', 'considers', 'conservation', 'of', 'linear', 'and', 'angular', 'momentum', 'and', 'assumes', 'peripheral', 'interactions', 'between', 'the', 'fast', 'projectile', 'and', 'target', 'better', 'quantitative', 'agreement', 'was', 'reached', 'by', 'including', 'more', 'realistic', 'angular', 'distributions', 'deorientation', 'caused', 'by', 'gammaray', 'emission', 'and', 'by', 'correcting', 'for', 'the', 'outofplane', 'acceptance', 'the', 'newly', 'introduced', 'corrections', 'were', 'found', 'to', 'apply', 'to', 'both', 'nucleon', 'removal', 'and', 'nucleon', 'pickup', 'processes']] | [-0.061660156480163264, 0.2161969281733036, -0.09766020969480946, 0.1440933104887044, -0.00523306212378937, -0.08071192050153769, -0.029403350062812996, 0.3977583212036531, -0.1779758459029412, -0.32939020850361117, -0.10168596553882964, -0.3195982994692563, 0.034208622806280564, 0.1546562468538115, 0.05489551770112034, 0.08663279246719717, 0.08056627582980193, -0.030332792432779827, -0.04159026419138084, -0.10553555369933217, 0.30280485560267584, 0.13560800862417205, 0.22806974518501644, 0.1433705946394396, 0.13419445723891982, 0.09041775656791712, -0.06128635399893505, 0.006065421534286251, -0.07529455672496607, 0.04874152749651383, 0.2366689493273864, 0.050836454405566875, 0.13114238090279684, -0.4231972456864506, -0.19623671408778834, 0.05892104791133728, 0.14938301390694744, 0.14903666927180823, -0.08140917175104141, -0.2700059507584688, 0.020746501338966553, -0.226505852042182, -0.13314739812292087, -0.10672631232718964, 0.06258524685772587, 0.08171666888135838, -0.2922810188322825, 0.13003290641727377, 0.03797569167822853, 0.05000937396425356, -0.06992735342547587, -0.21529966882583731, -0.11860325691082234, 0.06306439992130815, 0.07740172502489814, 0.0986284880889851, 0.1950613818746241, -0.13462675882625458, -0.12464857311214059, 0.39245364775212066, 0.010029917275442661, -0.16188416373237824, 0.1149009172985493, -0.2376327089043063, -0.09468060498152978, 0.1975205195706012, 0.17294167252980824, 0.07896302525153004, -0.21814498302608148, -0.00875677875338068, -0.0060305725963949, 0.16926083601649525, 0.14042073515361375, 0.057420141491852476, 0.20727771964575192, 0.16383194495602826, -0.02185936928591103, 0.11818024948198638, -0.1856079844360068, -0.11346238005219154, -0.2664867395408524, -0.07030817990200323, -0.12019030579808847, 0.032816840527868534, -0.047753799100038005, -0.0365175322168371, 0.3691570830793635, 0.06668388276887624, 0.22236524947276973, -0.0185365361303941, 0.30660693453471133, 0.1005697339418281, 0.08267102349838874, 0.06382505494866123, 0.2944200420390489, 0.22058716591999153, 0.1407577184444854, -0.2992416924787957, 0.14353225027545563, -0.013634763820802124] |
710.5166 | Fields of CR meromorphic functions | Let $M$ be a smooth compact $CR$ manifold of $CR$ dimension $n$ and $CR$
codimension $k$, which has a certain local extension property $E$. In
particular, if $M$ is pseudoconcave, it has property $E$. Then the field $\Cal
K(M)$ of $CR$ meromorphic functions on $M$ has transcendence degree $d$, with
$d\leq n+k$. If $f_1, f_2, \hdots , f_d$ is a maximal set of algebraically
independent $CR$ meromorphic functions on $M$, then $\Cal K(M)$ is a simple
finite algebraic extension of the field $\Bbb C(f_1, f_2, \hdots, f_d)$ of
rational functions of the $f_1, f_2, \hdots , f_d$. When $M$ has a projective
embedding, there is an analogue of Chow's theorem, and $\Cal K(M)$ is
isomorphic to the field $\Cal R(Y)$ of rational functions on an irreducible
projective algebraic variety $Y$, and $M$ has a $CR$ embedding in $\roman{reg}
Y$. The equivalence between algebraic dependence and analytic dependence fails
when condition $E$ is dropped.
| math.CV math.AG math.AP | let m be a smooth compact cr manifold of cr dimension n and cr codimension k which has a certain local extension property e in particular if m is pseudoconcave it has property e then the field cal km of cr meromorphic functions on m has transcendence degree d with dleq nk if f_1 f_2 hdots f_d is a maximal set of algebraically independent cr meromorphic functions on m then cal km is a simple finite algebraic extension of the field bbb cf_1 f_2 hdots f_d of rational functions of the f_1 f_2 hdots f_d when m has a projective embedding there is an analogue of chows theorem and cal km is isomorphic to the field cal ry of rational functions on an irreducible projective algebraic variety y and m has a cr embedding in romanreg y the equivalence between algebraic dependence and analytic dependence fails when condition e is dropped | [['let', 'm', 'be', 'a', 'smooth', 'compact', 'cr', 'manifold', 'of', 'cr', 'dimension', 'n', 'and', 'cr', 'codimension', 'k', 'which', 'has', 'a', 'certain', 'local', 'extension', 'property', 'e', 'in', 'particular', 'if', 'm', 'is', 'pseudoconcave', 'it', 'has', 'property', 'e', 'then', 'the', 'field', 'cal', 'km', 'of', 'cr', 'meromorphic', 'functions', 'on', 'm', 'has', 'transcendence', 'degree', 'd', 'with', 'dleq', 'nk', 'if', 'f_1', 'f_2', 'hdots', 'f_d', 'is', 'a', 'maximal', 'set', 'of', 'algebraically', 'independent', 'cr', 'meromorphic', 'functions', 'on', 'm', 'then', 'cal', 'km', 'is', 'a', 'simple', 'finite', 'algebraic', 'extension', 'of', 'the', 'field', 'bbb', 'cf_1', 'f_2', 'hdots', 'f_d', 'of', 'rational', 'functions', 'of', 'the', 'f_1', 'f_2', 'hdots', 'f_d', 'when', 'm', 'has', 'a', 'projective', 'embedding', 'there', 'is', 'an', 'analogue', 'of', 'chows', 'theorem', 'and', 'cal', 'km', 'is', 'isomorphic', 'to', 'the', 'field', 'cal', 'ry', 'of', 'rational', 'functions', 'on', 'an', 'irreducible', 'projective', 'algebraic', 'variety', 'y', 'and', 'm', 'has', 'a', 'cr', 'embedding', 'in', 'romanreg', 'y', 'the', 'equivalence', 'between', 'algebraic', 'dependence', 'and', 'analytic', 'dependence', 'fails', 'when', 'condition', 'e', 'is', 'dropped']] | [-0.24821630120277405, 0.11015309227631277, -0.07073301416915535, 0.02164666896925039, -0.073354603613308, -0.19023410138367808, -0.04811902510489793, 0.3464159237458402, -0.28154538286812353, -0.1511931556508245, 0.00845707229013561, -0.28850994675714, -0.08040505461961238, 0.1954428798944108, -0.03584067393156806, -0.02452056701513845, -0.012522988977698272, 0.1390637712906296, -0.11433258860203244, -0.2867682324409885, 0.3617868677731728, -0.07325191965839206, 0.18188637125012058, 0.078560168851767, 0.12940315631587032, 0.01564788934930959, 0.06254227220974612, -0.02626337559312432, -0.18439507315047834, 0.07428085589750151, 0.2965342565908428, 0.15325324844303126, 0.20222012621222452, -0.3033591784761856, -0.14376828086956236, 0.24893788233299383, 0.15235095212998606, -0.1368131003015981, 0.05592254924098805, -0.19841676077886716, 0.17223950393885473, -0.12626299825459858, -0.1695545633032843, -0.03609047324127899, 0.17328109433358824, -0.007623052699553886, -0.3356681207457445, -0.03584114947800068, 0.13322920734750343, 0.16712049424223252, 0.006769539294576885, -0.1504322885474715, -0.1109747916019378, -0.0014708051165009555, -0.013708423801241505, 0.23076650812509375, 0.08547448049355673, 0.007283428408855559, -0.052012350508668176, 0.33186881520454115, -0.10509235752299553, -0.26116397281977405, 0.09981959495980967, -0.20287747246107, -0.12783168271283976, 0.15071949712157048, 0.09320026818794142, 0.14304480238445727, -0.014469701844625387, 0.33859442308663873, -0.15908085363358415, 0.12326617864266838, 0.1046320970401468, -0.022508230185348716, 0.0878181226220257, 0.04938521493857589, 0.11111536253268686, 0.03450539801504163, 0.014883580384775996, 0.06299757016135142, -0.347399870108738, -0.16005899337426627, -0.12973899571787592, 0.2677381335313888, -0.16751187560953287, -0.12265416897283304, 0.341492664706487, -0.05496673483789067, 0.20807672095728802, 0.07431336269235776, 0.21009003089103323, 0.07405314876023296, 0.009327152937700684, 0.11081108255249342, 0.08804038342716634, 0.27147790825231966, -0.05074390404288901, -0.14751916799863063, -0.0017401634640491648, 0.16545957483151216] |
710.5167 | Circularization and Final Spin in Eccentric Binary Black Hole Inspirals | We present results from numerical relativity simulations of equal mass,
non-spinning binary black hole inspirals and mergers with initial
eccentricities e <= 0.8 and coordinate separations D >= 12 M of up to 9 orbits
(18 gravitational wave cycles). We extract the mass M_f and spin a_f of the
final black hole and find, for eccentricities e < 0.4, that a_f/M_f = 0.69 and
M_f/M_adm = 0.96 are independent of the initial eccentricity, suggesting that
the binary has circularized by the merger time. For e > 0.5, the black holes
plunge rather than orbit, and we obtain a maximum spin parameter a_f/M_f = 0.72
around e = 0.5.
| gr-qc astro-ph | we present results from numerical relativity simulations of equal mass nonspinning binary black hole inspirals and mergers with initial eccentricities e 08 and coordinate separations d 12 m of up to 9 orbits 18 gravitational wave cycles we extract the mass m_f and spin a_f of the final black hole and find for eccentricities e 04 that a_fm_f 069 and m_fm_adm 096 are independent of the initial eccentricity suggesting that the binary has circularized by the merger time for e 05 the black holes plunge rather than orbit and we obtain a maximum spin parameter a_fm_f 072 around e 05 | [['we', 'present', 'results', 'from', 'numerical', 'relativity', 'simulations', 'of', 'equal', 'mass', 'nonspinning', 'binary', 'black', 'hole', 'inspirals', 'and', 'mergers', 'with', 'initial', 'eccentricities', 'e', '08', 'and', 'coordinate', 'separations', 'd', '12', 'm', 'of', 'up', 'to', '9', 'orbits', '18', 'gravitational', 'wave', 'cycles', 'we', 'extract', 'the', 'mass', 'm_f', 'and', 'spin', 'a_f', 'of', 'the', 'final', 'black', 'hole', 'and', 'find', 'for', 'eccentricities', 'e', '04', 'that', 'a_fm_f', '069', 'and', 'm_fm_adm', '096', 'are', 'independent', 'of', 'the', 'initial', 'eccentricity', 'suggesting', 'that', 'the', 'binary', 'has', 'circularized', 'by', 'the', 'merger', 'time', 'for', 'e', '05', 'the', 'black', 'holes', 'plunge', 'rather', 'than', 'orbit', 'and', 'we', 'obtain', 'a', 'maximum', 'spin', 'parameter', 'a_fm_f', '072', 'around', 'e', '05']] | [-0.20705572921180665, 0.19283602983606132, -0.045080876184834376, 0.08380704097017044, -0.003163974045427761, -0.1157499446928727, 0.03717675976069512, 0.3027636093778931, -0.10897841654492146, -0.37105663937300143, 0.03914346014657481, -0.337071178236393, 0.009330854182028107, 0.2264081372884149, 0.008239131735995261, 0.0520075671774608, 0.13413763977116858, -0.010181939444561122, -0.155767253397804, -0.22462676672471893, 0.297009058974006, 0.06269582700586379, 0.028140245734554047, -0.06891069848702179, 0.1023253680799495, 0.03980531095000304, 0.03148769979562723, -0.05577426633298999, -0.25351644675273827, -0.015155342336969845, 0.2162432706811362, 0.11353067793897201, 0.19112853697886822, -0.291050760517593, -0.10341580938830068, 0.0544976470027721, 0.13625066504329256, 0.08939316712620884, -0.0504384646474412, -0.23104940284504508, 0.13802225359085232, -0.3292525489955689, -0.15459308038098793, 0.017967824842968976, 0.21891731825290303, -0.020539435887276525, -0.2782332779689118, 0.1871603529975571, 0.09266534791036386, -0.04375389320869939, -0.12736941894723308, -0.1791554210470011, -0.12686249722886567, 0.015129325691507094, 0.08971855322938563, 0.14253033525451567, 0.21774569962343032, 0.0020212088476377304, -0.0904490180181885, 0.3533946194996436, -0.046344058708825166, -0.1252460800901507, 0.18812236883630507, -0.3159144113094292, -0.0674185843743158, 0.16708618830513172, 0.184472223386319, 0.18520380519542165, -0.07358483180892889, 0.04232429823193774, 0.07441600157089667, 0.24468401149667876, 0.1732467227201495, 0.011298533345600872, 0.41634694584692367, 0.08942714548491017, 0.03762403782927478, 0.025461655759224384, -0.20185674850669022, -0.0070656422517412915, -0.18236248579929876, -0.07171193965136854, -0.1510320505635305, 0.18912363596624493, -0.22956459180862324, -0.07160110461685543, 0.3035473842720614, 0.1054486171483542, 0.24960248689684603, 0.08739751170982014, 0.19839135458831225, 0.06772002921265673, -0.02822170350217023, 0.13847302583474289, 0.3679796348918568, 0.16255378963265832, 0.06561301620394895, -0.215329490808977, -0.05095931829301396, 0.0300993998205722] |
710.5168 | The $X$-class and almost-increasing permutations | In this paper we give a bijection between the class of permutations that can
be drawn on an X-shape and a certain set of permutations that appears in
[Knuth] in connection to sorting algorithms. A natural generalization of this
set leads us to the definition of almost-increasing permutations, which is a
one-parameter family of permutations that can be characterized in terms of
forbidden patterns. We find generating functions for almost-increasing
permutations by using their cycle structure to map them to colored Motzkin
paths. We also give refined enumerations with respect to the number of cycles,
fixed points, excedances, and inversions.
| math.CO | in this paper we give a bijection between the class of permutations that can be drawn on an xshape and a certain set of permutations that appears in knuth in connection to sorting algorithms a natural generalization of this set leads us to the definition of almostincreasing permutations which is a oneparameter family of permutations that can be characterized in terms of forbidden patterns we find generating functions for almostincreasing permutations by using their cycle structure to map them to colored motzkin paths we also give refined enumerations with respect to the number of cycles fixed points excedances and inversions | [['in', 'this', 'paper', 'we', 'give', 'a', 'bijection', 'between', 'the', 'class', 'of', 'permutations', 'that', 'can', 'be', 'drawn', 'on', 'an', 'xshape', 'and', 'a', 'certain', 'set', 'of', 'permutations', 'that', 'appears', 'in', 'knuth', 'in', 'connection', 'to', 'sorting', 'algorithms', 'a', 'natural', 'generalization', 'of', 'this', 'set', 'leads', 'us', 'to', 'the', 'definition', 'of', 'almostincreasing', 'permutations', 'which', 'is', 'a', 'oneparameter', 'family', 'of', 'permutations', 'that', 'can', 'be', 'characterized', 'in', 'terms', 'of', 'forbidden', 'patterns', 'we', 'find', 'generating', 'functions', 'for', 'almostincreasing', 'permutations', 'by', 'using', 'their', 'cycle', 'structure', 'to', 'map', 'them', 'to', 'colored', 'motzkin', 'paths', 'we', 'also', 'give', 'refined', 'enumerations', 'with', 'respect', 'to', 'the', 'number', 'of', 'cycles', 'fixed', 'points', 'excedances', 'and', 'inversions']] | [-0.16885054947770373, 0.1515162591503194, -0.07680078103131026, 0.05806489902125595, -0.09618114410395905, -0.0668772772377433, 0.1278024481618967, 0.37104685458221603, -0.3268740077560045, -0.33963800291827767, 0.026552489447901596, -0.24938095493565257, -0.18301396739041928, 0.18137078059419076, -0.1683450731049691, 0.004187558226439418, 0.06485044620741083, 0.008510854513365395, -0.09154212826207205, -0.263347402402694, 0.30384925737086393, 0.0049016530321416805, 0.19018958020499166, -0.03803984882614138, 0.05861507876947218, -0.01985772733804675, -0.0319993469367583, 0.04870476553748761, -0.14423973542958562, 0.11999264670706981, 0.24133786844916413, 0.17817559872981997, 0.16810531826091132, -0.3819244341088497, -0.0888287472177525, 0.22043626491284493, 0.17211724979546378, 0.09845677451872058, -0.032544644840527326, -0.24497959401805372, 0.11478427804683392, -0.13175964058966053, -0.11632567495867914, -0.0769273707001976, 0.07374845274880128, 0.05565388973241634, -0.2893282226078944, -0.028850521809452367, 0.10021542615200184, 0.10546041744578824, 0.06465479903569331, -0.09118630918579138, -0.01173158247517992, 0.10454777924686062, 0.02906200586466537, 0.03225157319149953, 0.02156778309038099, -0.07633607099022792, -0.18467979135980106, 0.3728795891873567, 0.00672643047244269, -0.2310213341011799, 0.14274331155038267, -0.135475360076846, -0.19063339601936086, 0.12824869156358953, 0.11560859155784152, 0.1297161548080075, -0.12015037120667961, 0.04458347868948833, -0.18883978469031198, 0.0878406056982218, 0.18503471544696665, 0.016402478724223922, 0.19796335336048992, 0.0634341364849967, 0.1374116882928932, 0.23043068143662673, -0.014466378543518807, -0.07967028943631722, -0.3011140657056655, -0.14008006513384835, -0.14571173473175766, 0.06458133633714169, -0.11493581285128816, -0.2531188930365808, 0.4509713093237001, 0.14547940594030126, 0.24967444795231353, 0.13329453029009342, 0.1489543341366308, 0.09830325114693997, 0.08269330748827292, 0.022808853004659926, 0.061312528643091876, 0.1876379244471425, -0.02305893946382008, -0.15181332562066502, 0.04901630059359785, 0.1680582013000183] |
710.5169 | Relativistic black hole-neutron star binaries in quasiequilibrium:
effects of the black hole excision boundary condition | We construct new models of black hole-neutron star binaries in
quasiequilibrium circular orbits by solving Einstein's constraint equations in
the conformal thin-sandwich decomposition together with the relativistic
equations of hydrostationary equilibrium. We adopt maximal slicing, assume
spatial conformal flatness, and impose equilibrium boundary conditions on an
excision surface (i.e., the apparent horizon) to model the black hole. In our
previous treatment we adopted a "leading-order" approximation for a parameter
related to the black-hole spin in these boundary conditions to construct
approximately nonspinning black holes. Here we improve on the models by
computing the black hole's quasilocal spin angular momentum and setting it to
zero. As before, we adopt a polytropic equation of state with adiabatic index
Gamma=2 and assume the neutron star to be irrotational. In addition to
recomputing several sequences for comparison with our earlier results, we study
a wider range of neutron star masses and binary mass ratios. To locate the
innermost stable circular orbit we search for turning points along both the
binding energy and total angular momentum curves for these sequences. Unlike
for our previous approximate boundary condition, these two minima now coincide.
We also identify the formation of cusps on the neutron star surface, indicating
the onset of tidal disruption. Comparing these two critical binary separations
for different mass ratios and neutron star compactions we distinguish those
regions that will lead to a tidal disruption of the neutron star from those
that will result in the plunge into the black hole of a neutron star more or
less intact, albeit distorted by tidal forces.
| gr-qc astro-ph | we construct new models of black holeneutron star binaries in quasiequilibrium circular orbits by solving einsteins constraint equations in the conformal thinsandwich decomposition together with the relativistic equations of hydrostationary equilibrium we adopt maximal slicing assume spatial conformal flatness and impose equilibrium boundary conditions on an excision surface ie the apparent horizon to model the black hole in our previous treatment we adopted a leadingorder approximation for a parameter related to the blackhole spin in these boundary conditions to construct approximately nonspinning black holes here we improve on the models by computing the black holes quasilocal spin angular momentum and setting it to zero as before we adopt a polytropic equation of state with adiabatic index gamma2 and assume the neutron star to be irrotational in addition to recomputing several sequences for comparison with our earlier results we study a wider range of neutron star masses and binary mass ratios to locate the innermost stable circular orbit we search for turning points along both the binding energy and total angular momentum curves for these sequences unlike for our previous approximate boundary condition these two minima now coincide we also identify the formation of cusps on the neutron star surface indicating the onset of tidal disruption comparing these two critical binary separations for different mass ratios and neutron star compactions we distinguish those regions that will lead to a tidal disruption of the neutron star from those that will result in the plunge into the black hole of a neutron star more or less intact albeit distorted by tidal forces | [['we', 'construct', 'new', 'models', 'of', 'black', 'holeneutron', 'star', 'binaries', 'in', 'quasiequilibrium', 'circular', 'orbits', 'by', 'solving', 'einsteins', 'constraint', 'equations', 'in', 'the', 'conformal', 'thinsandwich', 'decomposition', 'together', 'with', 'the', 'relativistic', 'equations', 'of', 'hydrostationary', 'equilibrium', 'we', 'adopt', 'maximal', 'slicing', 'assume', 'spatial', 'conformal', 'flatness', 'and', 'impose', 'equilibrium', 'boundary', 'conditions', 'on', 'an', 'excision', 'surface', 'ie', 'the', 'apparent', 'horizon', 'to', 'model', 'the', 'black', 'hole', 'in', 'our', 'previous', 'treatment', 'we', 'adopted', 'a', 'leadingorder', 'approximation', 'for', 'a', 'parameter', 'related', 'to', 'the', 'blackhole', 'spin', 'in', 'these', 'boundary', 'conditions', 'to', 'construct', 'approximately', 'nonspinning', 'black', 'holes', 'here', 'we', 'improve', 'on', 'the', 'models', 'by', 'computing', 'the', 'black', 'holes', 'quasilocal', 'spin', 'angular', 'momentum', 'and', 'setting', 'it', 'to', 'zero', 'as', 'before', 'we', 'adopt', 'a', 'polytropic', 'equation', 'of', 'state', 'with', 'adiabatic', 'index', 'gamma2', 'and', 'assume', 'the', 'neutron', 'star', 'to', 'be', 'irrotational', 'in', 'addition', 'to', 'recomputing', 'several', 'sequences', 'for', 'comparison', 'with', 'our', 'earlier', 'results', 'we', 'study', 'a', 'wider', 'range', 'of', 'neutron', 'star', 'masses', 'and', 'binary', 'mass', 'ratios', 'to', 'locate', 'the', 'innermost', 'stable', 'circular', 'orbit', 'we', 'search', 'for', 'turning', 'points', 'along', 'both', 'the', 'binding', 'energy', 'and', 'total', 'angular', 'momentum', 'curves', 'for', 'these', 'sequences', 'unlike', 'for', 'our', 'previous', 'approximate', 'boundary', 'condition', 'these', 'two', 'minima', 'now', 'coincide', 'we', 'also', 'identify', 'the', 'formation', 'of', 'cusps', 'on', 'the', 'neutron', 'star', 'surface', 'indicating', 'the', 'onset', 'of', 'tidal', 'disruption', 'comparing', 'these', 'two', 'critical', 'binary', 'separations', 'for', 'different', 'mass', 'ratios', 'and', 'neutron', 'star', 'compactions', 'we', 'distinguish', 'those', 'regions', 'that', 'will', 'lead', 'to', 'a', 'tidal', 'disruption', 'of', 'the', 'neutron', 'star', 'from', 'those', 'that', 'will', 'result', 'in', 'the', 'plunge', 'into', 'the', 'black', 'hole', 'of', 'a', 'neutron', 'star', 'more', 'or', 'less', 'intact', 'albeit', 'distorted', 'by', 'tidal', 'forces']] | [-0.13464985433365795, 0.12188529270181528, -0.10289973623386418, 0.12216405037523413, -0.09824830544534927, -0.09431534936261732, 0.03439296910660197, 0.3392567078270697, -0.1874616054254909, -0.31328303799350826, 0.07416063435321543, -0.2856763383958402, -0.039240996389426006, 0.2036821052947356, -0.04257343704821253, 0.05675420468576548, 0.08843983485464497, 0.029006248984807134, -0.15043482249882434, -0.214716582995381, 0.3944954750445751, 0.047584210998963476, 0.15762822733751622, -0.01555964007049568, 0.04805121765527946, 0.0027940027172543656, 0.0013870856988193222, 0.009865025456366671, -0.2093890997928738, 0.03684304515531561, 0.2149737905579235, 0.10285864836065271, 0.1733707358298982, -0.4311449273612148, -0.2199882141955408, 0.07281765566286884, 0.14519075963415148, 0.13144114174764573, -0.07262876225743026, -0.2364194473953802, 0.09939337061589959, -0.25067593968588886, -0.17372393418760437, -0.03519036230570709, 0.051646479645512944, 0.02059866265707844, -0.23550889920353052, 0.12258339761009587, 0.08970853073121764, -0.045635523153613355, -0.17745956045561, -0.08064326660007295, -0.06728697022831052, 0.06619565571250409, 0.09701283438701558, 0.059311197427202506, 0.166545493672638, -0.10490789043251425, -0.07627689542046698, 0.3473738276385233, -0.033712974966092164, -0.1742774263196246, 0.20839030833467265, -0.22974974441711155, -0.14007259032494107, 0.1249166690138017, 0.15927767730859477, 0.20073202139040988, -0.153831362484254, 0.00978086391137191, 0.02097317025150252, 0.15434024645202404, 0.15045880897208874, 0.008857548355969578, 0.3673024352842061, 0.11569750224702176, 0.05032078525080353, 0.11811210210150823, -0.13507680083325407, -0.11479100585818587, -0.251242229660843, -0.09156640901865597, -0.12068870709329128, 0.0839323624769991, -0.1516337160400319, -0.16063298944513812, 0.31293434494846434, 0.10878117482099851, 0.1910791208844834, 0.050348998325364304, 0.26477370569595815, 0.0926703080388739, 0.05336297996425207, 0.12072528800891005, 0.31249030719352383, 0.1564785751736138, 0.07838752489201291, -0.2713469370401847, -0.009765146717125939, 0.07839864640958723] |
710.517 | Holographic Gauge Theories in Background Fields and Surface Operators | We construct a new class of supersymmetric surface operators in N=4 SYM and
find the corresponding dual supergravity solutions. We show that the insertion
of the surface operator - which is given by a WZW model supported on the
surface - appears by integrating out the localized degrees of freedom along the
surface which arise microscopically from a D3/D7 brane intersection.
Consistency requires constructing N=4 SYM in the D7 supergravity background and
not in flat space. This enlarges the class of holographic gauge theories dual
to string theory backgrounds to gauge theories in non-trivial supergravity
backgrounds. The dual Type IIB supergravity solutions we find reveal - among
other features - that the holographic dual gauge theory does indeed live in the
D7-brane background.
| hep-th | we construct a new class of supersymmetric surface operators in n4 sym and find the corresponding dual supergravity solutions we show that the insertion of the surface operator which is given by a wzw model supported on the surface appears by integrating out the localized degrees of freedom along the surface which arise microscopically from a d3d7 brane intersection consistency requires constructing n4 sym in the d7 supergravity background and not in flat space this enlarges the class of holographic gauge theories dual to string theory backgrounds to gauge theories in nontrivial supergravity backgrounds the dual type iib supergravity solutions we find reveal among other features that the holographic dual gauge theory does indeed live in the d7brane background | [['we', 'construct', 'a', 'new', 'class', 'of', 'supersymmetric', 'surface', 'operators', 'in', 'n4', 'sym', 'and', 'find', 'the', 'corresponding', 'dual', 'supergravity', 'solutions', 'we', 'show', 'that', 'the', 'insertion', 'of', 'the', 'surface', 'operator', 'which', 'is', 'given', 'by', 'a', 'wzw', 'model', 'supported', 'on', 'the', 'surface', 'appears', 'by', 'integrating', 'out', 'the', 'localized', 'degrees', 'of', 'freedom', 'along', 'the', 'surface', 'which', 'arise', 'microscopically', 'from', 'a', 'd3d7', 'brane', 'intersection', 'consistency', 'requires', 'constructing', 'n4', 'sym', 'in', 'the', 'd7', 'supergravity', 'background', 'and', 'not', 'in', 'flat', 'space', 'this', 'enlarges', 'the', 'class', 'of', 'holographic', 'gauge', 'theories', 'dual', 'to', 'string', 'theory', 'backgrounds', 'to', 'gauge', 'theories', 'in', 'nontrivial', 'supergravity', 'backgrounds', 'the', 'dual', 'type', 'iib', 'supergravity', 'solutions', 'we', 'find', 'reveal', 'among', 'other', 'features', 'that', 'the', 'holographic', 'dual', 'gauge', 'theory', 'does', 'indeed', 'live', 'in', 'the', 'd7brane', 'background']] | [-0.1251546669665317, 0.16641519830988705, -0.05065895546572048, 0.10212888360070456, -0.11144053029139064, -0.16415039775893092, -0.032775947628464516, 0.2881514690581615, -0.12531148524907956, -0.22405948656114177, 0.0665031859295114, -0.28864116627848196, -0.20814993021180148, 0.06874476284563479, -0.10818207643519179, -0.0026075377622071434, -0.030094560157476354, 0.04206251262436707, -0.14601549199007513, -0.28668848528181146, 0.334712115656428, -0.0355581388879223, 0.3101797128612755, 0.028672229185575198, 0.1171078772495399, -0.008202440054508067, -0.0013342340038541485, 0.03819599294494016, -0.1111322002793675, 0.15765461091053898, 0.26404400431245817, 0.0997820309472873, 0.03544148766756559, -0.47297086122938814, -0.27496350517480816, 0.07989511363493952, 0.181463253394771, 0.1689149703059596, -0.005018244244103485, -0.2707981005273838, 0.044713570078944456, -0.14342342310060724, -0.18346648901102267, -0.0667167033648222, -0.01808584530000426, -0.14526253113789217, -0.23838737942552304, 0.041858999563396726, -0.01458881632620547, 0.019903988418944116, -0.05919366357300211, -0.015604608922124598, -0.15745973148375375, 0.014753790792398656, 0.13943617999604552, 0.08380192030268181, 0.12994440521324882, -0.22853544133543155, -0.14588800857641868, 0.316114620313424, -0.08411145784712139, -0.250579925473122, 0.17155739298176428, -0.1416764021185892, -0.19715725974093715, 0.1221342151123686, 0.07489896275322228, 0.209003129954442, -0.13636924635703057, 0.2976325726314612, -0.03404122788044272, 0.14373222253277523, 0.1052348178443538, 0.08260965714340701, 0.3087951160156356, 0.09492717335243248, 0.06951278667435237, 0.15958543482653312, 0.0023605119722637058, -0.11079001431392521, -0.49398790512766155, -0.11176649190704613, -0.09137764741165735, 0.1160644210872344, -0.17425977901292442, -0.21123648915408538, 0.3733416735605501, 0.08768915846658197, 0.14948098665150275, 0.058312891820101305, 0.10435442969265606, 0.06909487750224706, 0.09280348216876105, 0.07629251013267316, 0.2659336291048128, 0.13307399698533118, 0.057911623688023384, -0.2846980092268312, -0.2079153345122996, 0.25649051326366157] |
710.5171 | Systematic Bias in Cosmic Shear: Beyond the Fisher Matrix | We describe a method for computing the biases that systematic signals
introduce in parameter estimation using a simple extension of the Fisher matrix
formalism. This allows us to calculate the offset of the best fit parameters
relative to the fiducial model, in addition to the usual statistical error
ellipse. As an application, we study the impact that residual systematics in
tomographic weak lensing measurements. In particular we explore three different
types of shape measurement systematics: (i) additive systematic with no
redshift evolution; (ii) additive systematic with redshift evolution; and (iii)
multiplicative systematic. In each case, we consider a wide range of scale
dependence and redshift evolution of the systematics signal. For a future
DUNE-like full sky survey, we find that, for cases with mild redshift
evolution, the variance of the additive systematic signal should be kept below
10^-7 to ensure biases on cosmological parameters that are sub-dominant to the
statistical errors. For the multiplicative systematics, which depends on the
lensing signal, we find the multiplicative calibration m0 needs to be
controlled to an accuracy better than 10^-3. We find that the impact of
systematics can be underestimated if their assumes redshift dependence is too
simplistic. We provide simple scaling relations to extend these requirements to
any survey geometry and discuss the impact of our results for current and
future weak lensing surveys.
| astro-ph | we describe a method for computing the biases that systematic signals introduce in parameter estimation using a simple extension of the fisher matrix formalism this allows us to calculate the offset of the best fit parameters relative to the fiducial model in addition to the usual statistical error ellipse as an application we study the impact that residual systematics in tomographic weak lensing measurements in particular we explore three different types of shape measurement systematics i additive systematic with no redshift evolution ii additive systematic with redshift evolution and iii multiplicative systematic in each case we consider a wide range of scale dependence and redshift evolution of the systematics signal for a future dunelike full sky survey we find that for cases with mild redshift evolution the variance of the additive systematic signal should be kept below 107 to ensure biases on cosmological parameters that are subdominant to the statistical errors for the multiplicative systematics which depends on the lensing signal we find the multiplicative calibration m0 needs to be controlled to an accuracy better than 103 we find that the impact of systematics can be underestimated if their assumes redshift dependence is too simplistic we provide simple scaling relations to extend these requirements to any survey geometry and discuss the impact of our results for current and future weak lensing surveys | [['we', 'describe', 'a', 'method', 'for', 'computing', 'the', 'biases', 'that', 'systematic', 'signals', 'introduce', 'in', 'parameter', 'estimation', 'using', 'a', 'simple', 'extension', 'of', 'the', 'fisher', 'matrix', 'formalism', 'this', 'allows', 'us', 'to', 'calculate', 'the', 'offset', 'of', 'the', 'best', 'fit', 'parameters', 'relative', 'to', 'the', 'fiducial', 'model', 'in', 'addition', 'to', 'the', 'usual', 'statistical', 'error', 'ellipse', 'as', 'an', 'application', 'we', 'study', 'the', 'impact', 'that', 'residual', 'systematics', 'in', 'tomographic', 'weak', 'lensing', 'measurements', 'in', 'particular', 'we', 'explore', 'three', 'different', 'types', 'of', 'shape', 'measurement', 'systematics', 'i', 'additive', 'systematic', 'with', 'no', 'redshift', 'evolution', 'ii', 'additive', 'systematic', 'with', 'redshift', 'evolution', 'and', 'iii', 'multiplicative', 'systematic', 'in', 'each', 'case', 'we', 'consider', 'a', 'wide', 'range', 'of', 'scale', 'dependence', 'and', 'redshift', 'evolution', 'of', 'the', 'systematics', 'signal', 'for', 'a', 'future', 'dunelike', 'full', 'sky', 'survey', 'we', 'find', 'that', 'for', 'cases', 'with', 'mild', 'redshift', 'evolution', 'the', 'variance', 'of', 'the', 'additive', 'systematic', 'signal', 'should', 'be', 'kept', 'below', '107', 'to', 'ensure', 'biases', 'on', 'cosmological', 'parameters', 'that', 'are', 'subdominant', 'to', 'the', 'statistical', 'errors', 'for', 'the', 'multiplicative', 'systematics', 'which', 'depends', 'on', 'the', 'lensing', 'signal', 'we', 'find', 'the', 'multiplicative', 'calibration', 'm0', 'needs', 'to', 'be', 'controlled', 'to', 'an', 'accuracy', 'better', 'than', '103', 'we', 'find', 'that', 'the', 'impact', 'of', 'systematics', 'can', 'be', 'underestimated', 'if', 'their', 'assumes', 'redshift', 'dependence', 'is', 'too', 'simplistic', 'we', 'provide', 'simple', 'scaling', 'relations', 'to', 'extend', 'these', 'requirements', 'to', 'any', 'survey', 'geometry', 'and', 'discuss', 'the', 'impact', 'of', 'our', 'results', 'for', 'current', 'and', 'future', 'weak', 'lensing', 'surveys']] | [-0.080955600256429, 0.05779511808447763, -0.08184084783379848, 0.12168511537344055, -0.12100294467095471, -0.07092317646449406, 0.054844896346478135, 0.3896843057254338, -0.2505092891670629, -0.3191354775009045, 0.07508204635011445, -0.26239607715459035, -0.08764220326422499, 0.2067826641734049, -0.06481279947213424, 0.035461626584511, 0.05293415176547322, -0.05238548725750192, -0.12427380767447307, -0.2677626404068454, 0.30946720854223314, 0.11153920406446165, 0.23855263404379604, 0.0006255205906084759, 0.08211544742075541, -0.007852155679407028, -0.10371981401889842, 0.038913870225633834, -0.19422915860396472, 0.03681991693176059, 0.2336343383731013, 0.12258237990660265, 0.2462871215259867, -0.3362149225328775, -0.20597047582521563, 0.15587493264731608, 0.13186674287155, 0.15136431597912794, -0.04474194707429011, -0.2551159400775253, 0.09830465226179216, -0.1964749043377546, -0.11459648859480658, -0.06387350542736303, 0.009049343992429217, 0.040375808926564706, -0.2873527034316465, 0.14493193403434226, 0.024714469114415678, 0.05702410380427654, -0.03808748352839675, -0.13251199224980642, 0.031565355390891836, 0.13269386617087536, 0.024537910213188283, 0.020019578837001555, 0.16608799365454469, -0.11728944108459037, -0.043387224621716805, 0.38784983372357906, -0.10893899506534507, -0.20313995460794218, 0.10151341915782752, -0.18433885908226286, -0.19130079019646165, 0.07463211852217481, 0.19989663210372985, 0.015839184436323418, -0.1558462269435641, 0.06789130065274084, 0.06948617009901151, 0.24293461412073394, 0.005361904441779353, 0.04746573040582139, 0.19997383553083833, 0.1240311926062223, 0.09025191572100784, 0.09173926738421623, -0.17128787660440303, -0.02744070620895511, -0.3347788833814454, -0.06622923314096303, -0.09671958887262683, 0.06624729389996938, -0.13369021464820857, -0.16297721379366492, 0.3946655487548981, 0.22618608199253812, 0.20973226105229617, 0.09617067237776532, 0.3223805047773937, 0.10857646444936733, 0.0442407010850071, 0.01818936914879812, 0.3084430008056274, 0.12445122596272583, 0.012113859665757088, -0.20935646213835518, 0.06448777801909261, -0.03982042074645975] |
710.5172 | Non-Gaussianities in New Ekpyrotic Cosmology | New Ekpyrotic Cosmology is an alternative scenario of the early universe
which relies on a phase of slow contraction before the big bang. We calculate
the 3-point and 4-point correlation functions of primordial density
perturbations and find a generically large non-Gaussian signal, just below the
current sensitivity level of CMB experiments. This is in contrast with
slow-roll inflation, which predicts negligible non-Gaussianity. The model is
also distinguishable from alternative inflationary scenarios that yield large
non-Gaussianity, such as DBI inflation and the simplest curvaton-like models,
through the shape dependence of the correlation functions. Non-Gaussianity
therefore provides a distinguishing and testable prediction of New Ekpyrotic
Cosmology.
| hep-th | new ekpyrotic cosmology is an alternative scenario of the early universe which relies on a phase of slow contraction before the big bang we calculate the 3point and 4point correlation functions of primordial density perturbations and find a generically large nongaussian signal just below the current sensitivity level of cmb experiments this is in contrast with slowroll inflation which predicts negligible nongaussianity the model is also distinguishable from alternative inflationary scenarios that yield large nongaussianity such as dbi inflation and the simplest curvatonlike models through the shape dependence of the correlation functions nongaussianity therefore provides a distinguishing and testable prediction of new ekpyrotic cosmology | [['new', 'ekpyrotic', 'cosmology', 'is', 'an', 'alternative', 'scenario', 'of', 'the', 'early', 'universe', 'which', 'relies', 'on', 'a', 'phase', 'of', 'slow', 'contraction', 'before', 'the', 'big', 'bang', 'we', 'calculate', 'the', '3point', 'and', '4point', 'correlation', 'functions', 'of', 'primordial', 'density', 'perturbations', 'and', 'find', 'a', 'generically', 'large', 'nongaussian', 'signal', 'just', 'below', 'the', 'current', 'sensitivity', 'level', 'of', 'cmb', 'experiments', 'this', 'is', 'in', 'contrast', 'with', 'slowroll', 'inflation', 'which', 'predicts', 'negligible', 'nongaussianity', 'the', 'model', 'is', 'also', 'distinguishable', 'from', 'alternative', 'inflationary', 'scenarios', 'that', 'yield', 'large', 'nongaussianity', 'such', 'as', 'dbi', 'inflation', 'and', 'the', 'simplest', 'curvatonlike', 'models', 'through', 'the', 'shape', 'dependence', 'of', 'the', 'correlation', 'functions', 'nongaussianity', 'therefore', 'provides', 'a', 'distinguishing', 'and', 'testable', 'prediction', 'of', 'new', 'ekpyrotic', 'cosmology']] | [-0.12666265296216295, 0.18382268307351357, -0.1595475451084921, 0.18201410412580427, -0.07692630364767557, -0.167894211231541, -0.07368020018002072, 0.25205061477111673, -0.20887847398452966, -0.2742088823895721, 0.0696622825587096, -0.2245300629818179, -0.1600581429654606, 0.17564797381987995, 0.011239179523064963, 0.03174898991795275, 0.036673981118811635, -0.0039669540529907905, -0.06290383323647299, -0.2747416385422343, 0.3318081624236283, 0.1540799598770162, 0.25375371471553754, 0.013479169458150864, 0.0621825598860702, -0.0907107362505591, -0.0313142956222082, -0.028445924424286027, -0.16211665670639774, 0.04450726454842438, 0.1627971782748945, 0.20181404703830197, 0.1951754590478337, -0.4051120743444822, -0.2658580881927741, 0.2179383300561277, 0.13076065937328396, 0.18372633745577366, -0.04734896009141416, -0.27083869621121476, 0.00039802638144747723, -0.1898143013568541, -0.05696102669259118, -0.10600033510946533, 0.010308460269159483, -0.08257054336803052, -0.31851502939226845, 0.19828805915567146, -0.029348542547594864, -0.029875134167632142, 0.009962455188692773, -0.0567520186870169, -0.024278370046409443, 0.00374941294108635, 0.09792630181724694, 0.0372031299248722, 0.1763136609801028, -0.18835315154639334, -0.07209712473870011, 0.3797570236831976, -0.18775299569203074, -0.0649977093788533, 0.09795211035830592, -0.1624633579704802, -0.2010439867379813, 0.05834455024767486, 0.09257146242657875, 0.06489369558007682, -0.08686398228322997, 0.15051808436762867, 0.10927090554574993, 0.18643885965513302, 0.11144161597120314, 0.022724528887390513, 0.35564699695893176, 0.1613013583949758, 0.07539931516551855, 0.10191548367039961, -0.08258999994214515, -0.08712753690146272, -0.42270720682730806, -0.06616237220801956, -0.1733016016287277, 0.05418459084156214, -0.22409385977057486, -0.25406461355538623, 0.4362095692782726, 0.16023887083549232, 0.2103285574155308, 0.08588662285818854, 0.3126617566257426, 0.06749220669791735, 0.03560909840450125, 0.01263949190156514, 0.3199815295356353, 0.10346054170931716, 0.08453578771390383, -0.18740742721649123, 0.05074648537392755, -0.020950782426985576] |
710.5173 | The Broad-lined Type Ic SN 2003jd | The results of a world-wide coordinated observational campaign on the
broad-lined Type Ic SN 2003jd are presented. In total, 74 photometric data
points and 26 spectra were collected using 11 different telescopes. SN 2003jd
is one of the most luminous SN Ic ever observed. A comparison with other Type
Ic supernovae (SNe Ic) confirms that SN 2003jd represents an intermediate case
between broad-line events (2002ap, 2006aj), and highly energetic SNe (1997ef,
1998bw, 2003dh, 2003lw), with an ejected mass of M_{ej} = 3.0 +/- 1 Mo and a
kinetic energy of E_{k}(tot) = 7_{-2}^{+3} 10^{51} erg. SN 2003jd is similar to
SN 1998bw in terms of overall luminosity, but it is closer to SNe 2006aj and
2002ap in terms of light-curve shape and spectral evolution. The comparison
with other SNe Ic, suggests that the V-band light curves of SNe Ic can be
partially homogenized by introducing a time stretch factor. Finally, due to the
similarity of SN 2003jd to the SN 2006aj/XRF 060218 event, we discuss the
possible connection of SN 2003jd with a GRB.
| astro-ph | the results of a worldwide coordinated observational campaign on the broadlined type ic sn 2003jd are presented in total 74 photometric data points and 26 spectra were collected using 11 different telescopes sn 2003jd is one of the most luminous sn ic ever observed a comparison with other type ic supernovae sne ic confirms that sn 2003jd represents an intermediate case between broadline events 2002ap 2006aj and highly energetic sne 1997ef 1998bw 2003dh 2003lw with an ejected mass of m_ej 30 1 mo and a kinetic energy of e_ktot 7_23 1051 erg sn 2003jd is similar to sn 1998bw in terms of overall luminosity but it is closer to sne 2006aj and 2002ap in terms of lightcurve shape and spectral evolution the comparison with other sne ic suggests that the vband light curves of sne ic can be partially homogenized by introducing a time stretch factor finally due to the similarity of sn 2003jd to the sn 2006ajxrf 060218 event we discuss the possible connection of sn 2003jd with a grb | [['the', 'results', 'of', 'a', 'worldwide', 'coordinated', 'observational', 'campaign', 'on', 'the', 'broadlined', 'type', 'ic', 'sn', '2003jd', 'are', 'presented', 'in', 'total', '74', 'photometric', 'data', 'points', 'and', '26', 'spectra', 'were', 'collected', 'using', '11', 'different', 'telescopes', 'sn', '2003jd', 'is', 'one', 'of', 'the', 'most', 'luminous', 'sn', 'ic', 'ever', 'observed', 'a', 'comparison', 'with', 'other', 'type', 'ic', 'supernovae', 'sne', 'ic', 'confirms', 'that', 'sn', '2003jd', 'represents', 'an', 'intermediate', 'case', 'between', 'broadline', 'events', '2002ap', '2006aj', 'and', 'highly', 'energetic', 'sne', '1997ef', '1998bw', '2003dh', '2003lw', 'with', 'an', 'ejected', 'mass', 'of', 'm_ej', '30', '1', 'mo', 'and', 'a', 'kinetic', 'energy', 'of', 'e_ktot', '7_23', '1051', 'erg', 'sn', '2003jd', 'is', 'similar', 'to', 'sn', '1998bw', 'in', 'terms', 'of', 'overall', 'luminosity', 'but', 'it', 'is', 'closer', 'to', 'sne', '2006aj', 'and', '2002ap', 'in', 'terms', 'of', 'lightcurve', 'shape', 'and', 'spectral', 'evolution', 'the', 'comparison', 'with', 'other', 'sne', 'ic', 'suggests', 'that', 'the', 'vband', 'light', 'curves', 'of', 'sne', 'ic', 'can', 'be', 'partially', 'homogenized', 'by', 'introducing', 'a', 'time', 'stretch', 'factor', 'finally', 'due', 'to', 'the', 'similarity', 'of', 'sn', '2003jd', 'to', 'the', 'sn', '2006ajxrf', '060218', 'event', 'we', 'discuss', 'the', 'possible', 'connection', 'of', 'sn', '2003jd', 'with', 'a', 'grb']] | [-0.02808627443404735, 0.03581319390425398, -0.005014824556253318, 0.1524203144827403, -0.15805556990588748, -0.1707834331318736, 0.06440288894892936, 0.4776251490804411, -0.13550699641650898, -0.2961426631525336, 0.02908055137058476, -0.3924841560933384, -0.004440344477015536, 0.23766458115085784, -0.06807839854103631, -0.1274518682718432, 0.15628644216450907, -0.10699776078330442, -0.12431207798467117, -0.34269794846962515, 0.277934213196637, 0.11538486916660554, 0.22301568074787306, -0.10558851114806853, 0.051861858278113813, -0.12693547450007395, -0.05732999982622763, -0.072911981005399, -0.12390168107413047, 0.0462773408819755, 0.19395454349190308, 0.18695833360349448, 0.13316541171765753, -0.3259531733457975, -0.2643957191778879, 0.14073378984383972, 0.2046460097799787, -0.018434565664176176, -0.003851488665705325, -0.25900645956668694, 0.050728494476061314, -0.23230906166247137, -0.1737486574371966, 0.19734669702925853, 0.03724419037600802, 0.07846511696975324, -0.19227661064083112, 0.1880307704441726, -0.042150002072698305, 0.08501294787440981, -0.12247385528115999, -0.09164604814681557, -0.08699025023711979, -0.07035221315232948, 0.054149841968735145, 0.03543508649593042, 0.01065993161284409, -0.09864185376153771, 0.0029408628220802973, 0.43598026100413073, 0.010245536081562196, 0.1303369702571737, 0.20430382255220875, -0.12989250360156543, -0.12028630326745943, 0.19466981339445782, 0.08504334234887556, 0.051485575001043754, -0.19374646714034802, -0.07838421835116433, 0.033806772220746746, 0.15528090024322627, -0.0060787387815902805, 0.10647035146290104, 0.18332468417827927, 0.16392087252322762, -0.0338507576151252, 0.049514020379449776, -0.26712607201382826, 0.09193652722162715, -0.27154416346595445, -0.1248224457570662, -0.11505767785378598, 0.23033049624202595, -0.21986685850381382, -0.10257876265746918, 0.3242011090873608, -0.010116885826435117, 0.2325197250084741, -0.009251828896508198, 0.20432407786626886, 0.06048168392486072, 0.08403746965147245, 0.13042189611310495, 0.3493626474103491, 0.17719024143991105, 0.14806703230715357, -0.22886809111861067, 0.10684654113373697, 0.05753628484394756] |
710.5174 | Stein fillability and the realization of contact manifolds | There is an intrinsic notion of what it means for a contact manifold to be
the smooth boundary of a Stein manifold. The same concept has another more
extrinsic formulation, which is often used as a convenient working hypothesis.
We give a simple proof that the two are equivalent. Moreover it is shown that,
even though a border always exists, it's germ is not unique; nevertheless the
germ of the Dolbeault cohomology of any border is unique. We also point out
that any Stein fillable compact contact 3- manifold has a geometric realization
in C^4 via an embedding, or in C^3 via an immersion.
| math.CV math.DG math.SG | there is an intrinsic notion of what it means for a contact manifold to be the smooth boundary of a stein manifold the same concept has another more extrinsic formulation which is often used as a convenient working hypothesis we give a simple proof that the two are equivalent moreover it is shown that even though a border always exists its germ is not unique nevertheless the germ of the dolbeault cohomology of any border is unique we also point out that any stein fillable compact contact 3 manifold has a geometric realization in c4 via an embedding or in c3 via an immersion | [['there', 'is', 'an', 'intrinsic', 'notion', 'of', 'what', 'it', 'means', 'for', 'a', 'contact', 'manifold', 'to', 'be', 'the', 'smooth', 'boundary', 'of', 'a', 'stein', 'manifold', 'the', 'same', 'concept', 'has', 'another', 'more', 'extrinsic', 'formulation', 'which', 'is', 'often', 'used', 'as', 'a', 'convenient', 'working', 'hypothesis', 'we', 'give', 'a', 'simple', 'proof', 'that', 'the', 'two', 'are', 'equivalent', 'moreover', 'it', 'is', 'shown', 'that', 'even', 'though', 'a', 'border', 'always', 'exists', 'its', 'germ', 'is', 'not', 'unique', 'nevertheless', 'the', 'germ', 'of', 'the', 'dolbeault', 'cohomology', 'of', 'any', 'border', 'is', 'unique', 'we', 'also', 'point', 'out', 'that', 'any', 'stein', 'fillable', 'compact', 'contact', '3', 'manifold', 'has', 'a', 'geometric', 'realization', 'in', 'c4', 'via', 'an', 'embedding', 'or', 'in', 'c3', 'via', 'an', 'immersion']] | [-0.17214780856207093, 0.04452561623740901, -0.16279683573296866, 0.09223158993476178, -0.12753556321303433, -0.18789520158092132, -0.00498362853585814, 0.3879504784440192, -0.28551639032621795, -0.18340494277296016, 0.13859350846905727, -0.2228674901841889, -0.22305493480570687, 0.192728676965299, -0.13304241186079496, -0.047794490327830244, 0.04868158142422684, 0.08916834249976091, -0.08891268174864728, -0.21944228320185524, 0.40546293631296765, -0.008048967135926852, 0.2242679709519367, 0.10887974797179385, 0.14775162531833091, -0.054587599113941766, 0.06454629920727502, 0.04777972483022425, -0.1186275426823788, 0.09892842397899725, 0.2545640528775178, 0.11176645269733854, 0.25837644427799833, -0.37437047882793617, -0.17729477334069088, 0.18337428564420685, 0.12440306792044654, 0.04905641395397162, -0.05658248375136911, -0.2512893904484092, 0.11912046791649818, -0.10123863176872525, -0.18313792569992635, -0.0975642598939605, 0.058924376212347016, -0.09055371809070213, -0.22143171799969144, -0.03948307309838128, 0.14182714340782135, 0.08541765495633277, -0.03469231930368831, -0.04621751087968452, -0.07919851409566875, 0.11532956678106879, -0.028163062146632, 0.12970166745183703, 0.10472830903017893, -0.0825269024263924, -0.08255761693446682, 0.3563628962012724, -0.05410130140528334, -0.31906172178255826, 0.21751354927814995, -0.10339960547459598, -0.15260086534992576, 0.18763404595441757, 0.01824445163275903, 0.12314702132985425, -0.150440379362128, 0.142135482120256, -0.09845902496174229, 0.1427772367709482, 0.06447612323637049, -0.049792204128327563, 0.16640525647940543, 0.16359193279193, 0.1764606887098545, 0.08916653769175845, -0.026893607969843566, -0.05370934585628744, -0.3324518101961495, -0.2546913852700247, -0.19840556378879298, 0.1574549208298077, -0.09846245251090015, -0.21328379610153766, 0.33077185812334603, 0.021928491735777173, 0.22051826649560377, 0.030784636046659077, 0.2610948563210863, 0.09480035173720143, 0.07085494138300419, 0.085548122977623, 0.21411103049579722, 0.121303392538371, -0.002006769301190686, -0.09773108568893243, 0.06227076895951401, 0.09363702505540389] |
710.5175 | Unitarity constraints on MSSM trilinear couplings | For MSSM phenomenology, soft SUSY breaking dimension-three operators are
important, in particular the couplings between Higgs bosons and squarks. In
scattering processes, perturbative unitarity is violated at modest
center-of-mass energy if these couplings are much larger than the masses of the
scalar particles involved. Assuming perturbative unitarity, constraints on the
trilinear couplings can be determined using a computer program that we have
developed.
| hep-ph | for mssm phenomenology soft susy breaking dimensionthree operators are important in particular the couplings between higgs bosons and squarks in scattering processes perturbative unitarity is violated at modest centerofmass energy if these couplings are much larger than the masses of the scalar particles involved assuming perturbative unitarity constraints on the trilinear couplings can be determined using a computer program that we have developed | [['for', 'mssm', 'phenomenology', 'soft', 'susy', 'breaking', 'dimensionthree', 'operators', 'are', 'important', 'in', 'particular', 'the', 'couplings', 'between', 'higgs', 'bosons', 'and', 'squarks', 'in', 'scattering', 'processes', 'perturbative', 'unitarity', 'is', 'violated', 'at', 'modest', 'centerofmass', 'energy', 'if', 'these', 'couplings', 'are', 'much', 'larger', 'than', 'the', 'masses', 'of', 'the', 'scalar', 'particles', 'involved', 'assuming', 'perturbative', 'unitarity', 'constraints', 'on', 'the', 'trilinear', 'couplings', 'can', 'be', 'determined', 'using', 'a', 'computer', 'program', 'that', 'we', 'have', 'developed']] | [-0.14108129091087787, 0.34287858702656293, -0.04222667742047518, 0.2105215338579867, -0.10412690474001306, -0.22298929335490342, -0.00929177590897159, 0.32582015210082604, -0.19385791470163635, -0.2878176821839242, 0.03394217179009011, -0.2824212191996002, 0.003134870491478415, 0.13489922041457797, 0.08338662448324381, 0.11532366205568588, 0.0685393292501214, -0.027125267334105002, -0.07439281316547995, -0.26446774655154776, 0.30123185708616224, 0.032452122271356604, 0.125120770452278, 0.15356981147465015, 0.03809828105722628, 0.03576086917966013, 0.05108240501038612, -0.1047861927026321, -0.11603152395342939, 0.08905552026061785, 0.19652531356624667, 0.013133887645034563, 0.09535266849256697, -0.40777996291835156, -0.1133294158600389, 0.17728367600116937, 0.18275596633080451, 0.10240559295440714, -0.031875685199222986, -0.32040739406846347, 0.046904678072129925, -0.18861731450768218, -0.07152555787581064, -0.12321163677713937, -0.07001655126297256, -0.1524443155605464, -0.33054562663984677, 0.13997497182664653, -0.08251977608805257, 0.04759312806917088, 0.045202678106429556, -0.1569663424724861, -0.12066047156732233, -0.03139640786315477, 0.18674042130199572, -0.04870065420659052, 0.1910616912553826, -0.21888696993627246, -0.14682786934085132, 0.425177830108811, -0.04047193100776649, -0.20377441700908266, 0.19118441611025777, -0.16850364770710705, -0.21427093701998864, 0.1301892458328179, 0.21185771245805043, 0.09259144465867726, -0.19495689494919682, 0.2767712434241918, 0.0005550878122448921, 0.1679845943729142, 0.10491926953314788, 0.08681368334810176, 0.262436373137115, 0.1458502626600897, 0.014619677198222943, 0.04606835177308687, 0.026125069156969116, -0.12161055085663167, -0.46808460638636634, -0.0595006804676756, -0.10097231185211548, 0.035594057942193655, -0.11718856960526734, -0.019696324524129668, 0.31945092258383595, 0.14516860128533732, 0.20549420027860574, 0.05958272947279352, 0.26389482248175355, 0.1585950182588209, 0.17758997925187622, 0.033254148889451274, 0.42051377998931067, 0.1128454842560348, 0.09532984181322039, -0.20278546883399406, -0.0314755434658201, 0.11626825616177586] |
710.5176 | The sixth power moment of Dirichlet L-functions | We prove a formula, with power savings, for the sixth moment of Dirichlet
L-functions averaged over moduli $q$, over primitive characters $\chi$ modulo
$q$, and over the critical line. Our formula agrees precisely with predictions
motivated by random matrix theory. In particular, the constant 42 appears as a
factor in the leading order term, exactly as is predicted for the sixth moment
of the Riemann zeta-function.
| math.NT | we prove a formula with power savings for the sixth moment of dirichlet lfunctions averaged over moduli q over primitive characters chi modulo q and over the critical line our formula agrees precisely with predictions motivated by random matrix theory in particular the constant 42 appears as a factor in the leading order term exactly as is predicted for the sixth moment of the riemann zetafunction | [['we', 'prove', 'a', 'formula', 'with', 'power', 'savings', 'for', 'the', 'sixth', 'moment', 'of', 'dirichlet', 'lfunctions', 'averaged', 'over', 'moduli', 'q', 'over', 'primitive', 'characters', 'chi', 'modulo', 'q', 'and', 'over', 'the', 'critical', 'line', 'our', 'formula', 'agrees', 'precisely', 'with', 'predictions', 'motivated', 'by', 'random', 'matrix', 'theory', 'in', 'particular', 'the', 'constant', '42', 'appears', 'as', 'a', 'factor', 'in', 'the', 'leading', 'order', 'term', 'exactly', 'as', 'is', 'predicted', 'for', 'the', 'sixth', 'moment', 'of', 'the', 'riemann', 'zetafunction']] | [-0.19750377554869789, 0.06417422519117474, -0.06798654283876672, 0.05529906962835936, -0.05491455331106077, -0.09248555191284553, 0.03712605570696972, 0.23768176764927126, -0.2727561824475274, -0.27657110193236306, 0.0733176442039566, -0.28370679387201864, -0.11371397115925158, 0.24304322178729557, -0.022945379019912445, 0.07881827319436001, -0.023012691523145997, 0.16706067527411506, -0.12154469560041573, -0.3105210028024334, 0.33673382261865, 0.012357504572719336, 0.20865860201813508, 0.06188231772940719, 0.08868543803691864, -0.000724133361610725, 0.006021358806527022, -0.037035386861217295, -0.1063692016160172, 0.12208259348037907, 0.2686255006049054, -0.03173056875962312, 0.21650059101573954, -0.35834451231428166, -0.163978553616978, 0.1644313874386364, 0.11730038497427647, -0.0019748881847287216, 0.07393242297764642, -0.20042243749644098, 0.14115894270468166, -0.23181011797295828, -0.19097070498250876, -0.08902999059809548, 0.08729940390383656, 0.03243974019300588, -0.3286758752709085, 0.11265100663612512, 0.047759578986601395, 0.1210057429094432, -0.10051501499291396, -0.20875097156474084, 0.04732085258883396, 0.048989212761322655, 0.13178539501545442, 0.08121149146675387, 0.042238078115395074, -0.14867306495028915, -0.09912426028203106, 0.38930075463246216, -0.1286661259240866, -0.15543891617915395, 0.0054695726598076744, -0.19925495238170365, -0.11492611074848383, 0.14352728115310046, 0.08102135234653499, 0.14207677357163365, -0.020343190397728573, 0.17724787228948888, -0.06421808324133356, 0.16577197515377493, 0.134090117545742, -0.10506069998849522, 0.19551464607656904, 0.0316444932250306, 0.04123777368063615, 0.1510036140574481, -0.06530589479106394, -0.12749513210446545, -0.35777676092799415, -0.17391636818082948, -0.20163391953842205, 0.12723554290520647, -0.1835581387574414, -0.16818523693434667, 0.3715973463981892, 0.08297055426307699, 0.20554701926073793, 0.17340869464996186, 0.2158046910666268, 0.20767113598677414, 0.07929554526080293, 0.04052474652417004, 0.12159737780915969, 0.19693439943842928, 0.04321343104785421, -0.16828574719979908, 0.044772313300971735, 0.17422644679688595] |
710.5177 | Speeding-up Thorium decay | We show that cavitation of a solution of thorium-228 in water induces its
transformation at a rate 10000 times faster than the natural radioactive decay
would do. This result agrees with the alteration of the secular equilibrium of
thorium-234 obtained by a Russian team via explosion of titanium foils in water
and solutions. These evidences further support some preliminary clues for the
possibility of piezonuclear reactions (namely nuclear reactions induced by
pressure waves) obtained in the last ten years.
| physics.gen-ph | we show that cavitation of a solution of thorium228 in water induces its transformation at a rate 10000 times faster than the natural radioactive decay would do this result agrees with the alteration of the secular equilibrium of thorium234 obtained by a russian team via explosion of titanium foils in water and solutions these evidences further support some preliminary clues for the possibility of piezonuclear reactions namely nuclear reactions induced by pressure waves obtained in the last ten years | [['we', 'show', 'that', 'cavitation', 'of', 'a', 'solution', 'of', 'thorium228', 'in', 'water', 'induces', 'its', 'transformation', 'at', 'a', 'rate', '10000', 'times', 'faster', 'than', 'the', 'natural', 'radioactive', 'decay', 'would', 'do', 'this', 'result', 'agrees', 'with', 'the', 'alteration', 'of', 'the', 'secular', 'equilibrium', 'of', 'thorium234', 'obtained', 'by', 'a', 'russian', 'team', 'via', 'explosion', 'of', 'titanium', 'foils', 'in', 'water', 'and', 'solutions', 'these', 'evidences', 'further', 'support', 'some', 'preliminary', 'clues', 'for', 'the', 'possibility', 'of', 'piezonuclear', 'reactions', 'namely', 'nuclear', 'reactions', 'induced', 'by', 'pressure', 'waves', 'obtained', 'in', 'the', 'last', 'ten', 'years']] | [-0.08728257258637594, 0.14703989990103322, -0.07467787699081385, 0.03806601497434223, -0.00026538996742321894, -0.05472355537737409, 0.06835306468658531, 0.3290149249518529, -0.23788379641393056, -0.2770755881270489, 0.09887043458188717, -0.3083374578362474, -0.09193340208954535, 0.2340961981412525, 0.009086293920588035, 0.01931365278403227, 0.1197339175388408, 0.024223855648858424, -0.08756864912963162, -0.2118311565106687, 0.2856278433225667, 0.10568002410806142, 0.21350248073502323, 0.08257988609898931, 0.07122012904773538, -0.08128075381048405, -0.03292639127287727, -0.039418856553637825, -0.16606152102170968, 0.08477287985479985, 0.2158825046215684, 0.13701043545435637, 0.2545023582672748, -0.5089198302191037, -0.23405990873848517, 0.07921694580298395, 0.10218634545349349, 0.1253135765257936, -0.12839356698812202, -0.2692452516251554, 0.07106820799452133, -0.19246252979605627, -0.16120434244378254, -0.01824187024239785, 0.05266393945259132, 0.0624943097265294, -0.2544497876269116, 0.07861735329989199, 0.08218927576373784, 0.0725588316265016, -0.12055445350378226, -0.13936573782792458, -0.027546970502067454, 0.055120066387387805, 0.11023891779283683, 0.012160503251764637, 0.17977228535649678, -0.1301311360498986, -0.06756412505339353, 0.393861784432561, -0.10889148466883806, -0.0475467039206519, 0.19508309196680784, -0.16890657857920116, -0.11267155667957969, 0.23818608874884936, 0.12627835487588668, 0.11379763753845906, -0.16350447055764306, -0.004588062983179369, -0.027509537221004184, 0.17022367339963332, 0.16621859684491005, -0.017270057963637207, 0.19379464370341828, 0.20970088952125457, 0.02276590171879014, 0.09754695755262406, -0.05829172779638798, -0.06236533340639793, -0.2597269478958482, -0.1835716100027546, -0.0795585101422591, 0.09473394168815456, -0.07236494624801428, -0.07852356128681165, 0.35515767765732914, 0.07724634634378628, 0.15337181888007295, -0.01982968270730896, 0.2150303554506256, 0.031392275648287095, 0.06175918266392098, 0.030129064686405353, 0.3005546509509888, 0.09833093566927485, 0.1333466253052346, -0.24137570031990224, 0.12344495924667288, 0.03618415049277246] |
710.5178 | Hamilton-Jacobi Mechanics from Pseudo-Supersymmetry | For a general mechanical system, it is shown that each solution of the
Hamilton-Jacobi equation defines an N=2 pseudo-supersymmetric extension of the
system, such that the usual relation of the momenta to Hamilton's principal
function is the `BPS' condition for preservation of 1/2 pseudo-supersymmetry.
The examples of the relativistic and non-relativistic particle, in a general
potential, are worked through in detail, and used to discuss the relation to
cosmology and to supersymmetric quantum mechanics.
| hep-th | for a general mechanical system it is shown that each solution of the hamiltonjacobi equation defines an n2 pseudosupersymmetric extension of the system such that the usual relation of the momenta to hamiltons principal function is the bps condition for preservation of 12 pseudosupersymmetry the examples of the relativistic and nonrelativistic particle in a general potential are worked through in detail and used to discuss the relation to cosmology and to supersymmetric quantum mechanics | [['for', 'a', 'general', 'mechanical', 'system', 'it', 'is', 'shown', 'that', 'each', 'solution', 'of', 'the', 'hamiltonjacobi', 'equation', 'defines', 'an', 'n2', 'pseudosupersymmetric', 'extension', 'of', 'the', 'system', 'such', 'that', 'the', 'usual', 'relation', 'of', 'the', 'momenta', 'to', 'hamiltons', 'principal', 'function', 'is', 'the', 'bps', 'condition', 'for', 'preservation', 'of', '12', 'pseudosupersymmetry', 'the', 'examples', 'of', 'the', 'relativistic', 'and', 'nonrelativistic', 'particle', 'in', 'a', 'general', 'potential', 'are', 'worked', 'through', 'in', 'detail', 'and', 'used', 'to', 'discuss', 'the', 'relation', 'to', 'cosmology', 'and', 'to', 'supersymmetric', 'quantum', 'mechanics']] | [-0.10402079593434276, 0.08500557092849852, -0.1039951537559564, 0.11771750298165087, -0.05670620842106842, -0.14966482244985732, -0.04864726053563425, 0.27631309238337987, -0.2609206442721188, -0.2717919498178604, 0.07112606550642364, -0.2807902799654953, -0.14244302714595924, 0.17429963367947102, -0.058694517192732845, 0.10215609836568301, 0.01822875366495872, 0.08046739595640148, -0.08972904247835882, -0.20476346689502936, 0.3432949946538822, 0.04169519082485774, 0.2332404749467969, 0.035883795488877476, 0.160905297329599, 0.019972078602861713, 0.03658144909108209, 0.02072954277910695, -0.13868804532830836, 0.09165586797973595, 0.19765018782502897, 0.12488497046099321, 0.21728318296939236, -0.3981591721971494, -0.18434470079405033, 0.08480785907925786, 0.13069228526532045, 0.13540394110542192, -0.009138636467223233, -0.26262033295289083, 0.05700654287293956, -0.1712826433516032, -0.20948815675502694, -0.07527628108053594, 0.061604384194455436, -0.025396773969200818, -0.22957137586372728, 0.08164671128867446, 0.06645606171239067, 0.0058557332770244495, -0.08037105156108737, -0.0565933409002232, -0.04854534873487176, 0.07822860150623161, 0.05807623513848395, 0.024093255041972607, 0.11791675982719942, -0.1518766468869069, -0.11465005078856405, 0.44462884398731023, -0.040150086787164314, -0.2806546329646497, 0.15368198233379707, -0.1279790356969209, -0.14543354645295925, 0.05569024538193401, 0.08585864871841024, 0.12131208515524664, -0.17879952767209426, 0.1334259995185405, -0.02542581148697315, 0.11707323429967605, 0.03143509178472733, 0.013715813913370005, 0.17860461709111602, 0.10387349873781204, 0.04106931880468855, 0.14052686810090737, -0.013861769917295189, -0.17434596999963695, -0.40302878598103653, -0.23563378785006903, -0.14672876686814265, 0.07534554882629498, -0.0920167742354081, -0.14975197422058587, 0.38241431461348246, 0.13881969776608655, 0.1297151749274014, 0.042396580573876165, 0.2265973411299087, 0.18305450801209017, 0.027646685472211323, 0.04103734433600629, 0.28070604178513325, 0.1942907557036174, 0.11152397609013762, -0.24786972150055542, -0.1071380116989383, 0.11179145322357481] |
710.5179 | Origin of volatiles in the Main Belt | We propose a scenario for the formation of the Main Belt in which asteroids
incorporated icy particles formed in the outer Solar Nebula. We calculate the
composition of icy planetesimals formed beyond a heliocentric distance of 5 AU
in the nebula by assuming that the abundances of all elements, in particular
that of oxygen, are solar. As a result, we show that ices formed in the outer
Solar Nebula are composed of a mix of clathrate hydrates, hydrates formed above
50 K and pure condensates produced at lower temperatures. We then consider the
inward migration of solids initially produced in the outer Solar Nebula and
show that a significant fraction may have drifted to the current position of
the Main Belt without encountering temperature and pressure conditions high
enough to vaporize the ices they contain. We propose that, through the
detection and identification of initially buried ices revealed by recent
impacts on the surfaces of asteroids, it could be possible to infer the
thermodynamic conditions that were present within the Solar Nebula during the
accretion of these bodies, and during the inward migration of icy
planetesimals. We also investigate the potential influence that the
incorporation of ices in asteroids may have on their porosities and densities.
In particular, we show how the presence of ices reduces the value of the bulk
density of a given body, and consequently modifies its macro-porosity from that
which would be expected from a given taxonomic type.
| astro-ph | we propose a scenario for the formation of the main belt in which asteroids incorporated icy particles formed in the outer solar nebula we calculate the composition of icy planetesimals formed beyond a heliocentric distance of 5 au in the nebula by assuming that the abundances of all elements in particular that of oxygen are solar as a result we show that ices formed in the outer solar nebula are composed of a mix of clathrate hydrates hydrates formed above 50 k and pure condensates produced at lower temperatures we then consider the inward migration of solids initially produced in the outer solar nebula and show that a significant fraction may have drifted to the current position of the main belt without encountering temperature and pressure conditions high enough to vaporize the ices they contain we propose that through the detection and identification of initially buried ices revealed by recent impacts on the surfaces of asteroids it could be possible to infer the thermodynamic conditions that were present within the solar nebula during the accretion of these bodies and during the inward migration of icy planetesimals we also investigate the potential influence that the incorporation of ices in asteroids may have on their porosities and densities in particular we show how the presence of ices reduces the value of the bulk density of a given body and consequently modifies its macroporosity from that which would be expected from a given taxonomic type | [['we', 'propose', 'a', 'scenario', 'for', 'the', 'formation', 'of', 'the', 'main', 'belt', 'in', 'which', 'asteroids', 'incorporated', 'icy', 'particles', 'formed', 'in', 'the', 'outer', 'solar', 'nebula', 'we', 'calculate', 'the', 'composition', 'of', 'icy', 'planetesimals', 'formed', 'beyond', 'a', 'heliocentric', 'distance', 'of', '5', 'au', 'in', 'the', 'nebula', 'by', 'assuming', 'that', 'the', 'abundances', 'of', 'all', 'elements', 'in', 'particular', 'that', 'of', 'oxygen', 'are', 'solar', 'as', 'a', 'result', 'we', 'show', 'that', 'ices', 'formed', 'in', 'the', 'outer', 'solar', 'nebula', 'are', 'composed', 'of', 'a', 'mix', 'of', 'clathrate', 'hydrates', 'hydrates', 'formed', 'above', '50', 'k', 'and', 'pure', 'condensates', 'produced', 'at', 'lower', 'temperatures', 'we', 'then', 'consider', 'the', 'inward', 'migration', 'of', 'solids', 'initially', 'produced', 'in', 'the', 'outer', 'solar', 'nebula', 'and', 'show', 'that', 'a', 'significant', 'fraction', 'may', 'have', 'drifted', 'to', 'the', 'current', 'position', 'of', 'the', 'main', 'belt', 'without', 'encountering', 'temperature', 'and', 'pressure', 'conditions', 'high', 'enough', 'to', 'vaporize', 'the', 'ices', 'they', 'contain', 'we', 'propose', 'that', 'through', 'the', 'detection', 'and', 'identification', 'of', 'initially', 'buried', 'ices', 'revealed', 'by', 'recent', 'impacts', 'on', 'the', 'surfaces', 'of', 'asteroids', 'it', 'could', 'be', 'possible', 'to', 'infer', 'the', 'thermodynamic', 'conditions', 'that', 'were', 'present', 'within', 'the', 'solar', 'nebula', 'during', 'the', 'accretion', 'of', 'these', 'bodies', 'and', 'during', 'the', 'inward', 'migration', 'of', 'icy', 'planetesimals', 'we', 'also', 'investigate', 'the', 'potential', 'influence', 'that', 'the', 'incorporation', 'of', 'ices', 'in', 'asteroids', 'may', 'have', 'on', 'their', 'porosities', 'and', 'densities', 'in', 'particular', 'we', 'show', 'how', 'the', 'presence', 'of', 'ices', 'reduces', 'the', 'value', 'of', 'the', 'bulk', 'density', 'of', 'a', 'given', 'body', 'and', 'consequently', 'modifies', 'its', 'macroporosity', 'from', 'that', 'which', 'would', 'be', 'expected', 'from', 'a', 'given', 'taxonomic', 'type']] | [-0.08606036398598294, 0.21542267704936713, -0.059828741062713464, 0.013752369339527825, 0.010744501632630578, -0.006737567950040102, 0.026484115082916825, 0.34325231462794026, -0.23342036850142392, -0.34424328795549547, 0.06763682989519058, -0.2529105601258853, -0.10418357775827547, 0.1411127058735256, -0.07535822121407221, -0.041828971862463926, 0.10095305915119526, -0.03970891129815266, -0.03732860279110768, -0.24768740660703378, 0.3012069572097129, 0.06998592199953003, 0.09759614140291752, 0.05783963881429162, 0.05230475934254812, -0.10793046681364336, 0.04304721509106457, -0.02891245103741357, -0.18002625565503508, 0.11971645287819176, 0.20051482347155775, 0.12397154220880187, 0.18632250928804894, -0.4965439497854961, -0.24799147146284456, 0.06315910437975121, 0.15099500804516094, 0.047244734508909036, -0.07746581993669979, -0.22624272855445127, 0.0819608936906977, -0.19295542498892712, -0.1857242587961503, 0.0616815502135745, 0.06473139384646, 0.015253004703616862, -0.2323401581711513, 0.0846325048130758, 0.09191975618899254, 0.07793099552870167, -0.17066327382258162, -0.16147388157065312, -0.12623281617675838, 0.08828770222569515, 0.031117009107949026, -0.05118208148320444, 0.2518618974376716, -0.09080055860171388, -0.003258636214554864, 0.43286400629892513, -0.075015367439771, -0.062386978354135696, 0.26697454646937857, -0.23015052900834332, -0.12070159826327638, 0.18733750916016864, 0.20015027975732816, 0.1264006095680539, -0.14057212578486805, 0.021899916703306706, -0.053485890502621966, 0.13841544533983519, 0.12133054885232036, 0.030056071814057256, 0.325801120651501, 0.133915745285686, 0.04135487010954564, 0.14835311245646574, -0.18700115034772344, -0.06784680766974237, -0.22309199462775603, -0.18853924619919074, -0.1706685076582184, 0.044283194574219566, -0.0836222254482222, -0.13796138359648166, 0.31642187858377546, 0.16482261892635192, 0.20928710364748163, -0.024092176377827162, 0.25295267126730775, 0.04084064212193797, 0.1130815698343814, 0.12126792028877299, 0.31233992394875765, 0.10947949666248957, 0.10231976443997869, -0.2307346129043351, 0.1665672432455188, 0.006842735179215054] |
710.518 | Constraints on dark matter particles from theory, galaxy observations
and N-body simulations | Mass bounds on dark matter (DM) candidates are obtained for particles
decoupling in or out of equilibrium with {\bf arbitrary} isotropic and
homogeneous distribution functions. A coarse grained Liouville invariant
primordial phase space density $ \mathcal D $ is introduced. Combining its
value with recent photometric and kinematic data on dwarf spheroidal satellite
galaxies in the Milky Way (dShps), the DM density today and $N$-body
simulations, yields upper and lower bounds on the mass, primordial phase space
densities and velocity dispersion of the DM candidates. The mass of the DM
particles is bound in the few keV range. If chemical freeze out occurs before
thermal decoupling, light bosonic particles can Bose-condense. Such
Bose-Einstein {\it condensate} is studied as a dark matter candidate. Depending
on the relation between the critical($T_c$)and decoupling($T_d$)temperatures, a
BEC light relic could act as CDM but the decoupling scale must be {\it higher}
than the electroweak scale. The condensate tightens the upper bound on the
particle's mass. Non-equilibrium scenarios that describe particle production
and partial thermalization, sterile neutrinos produced out of equilibrium and
other DM models are analyzed in detail obtaining bounds on their mass,
primordial phase space density and velocity dispersion. Light thermal relics
with $ m \sim \mathrm{few} \mathrm{keV}$ and sterile neutrinos lead to a
primordial phase space density compatible with {\bf cored} dShps and disfavor
cusped satellites. Light Bose condensed DM candidates yield phase space
densities consistent with {\bf cores} and if $ T_c\gg T_d $ also with cusps.
Phase space density bounds from N-body simulations suggest a potential tension
for WIMPS with $ m \sim 100 \mathrm{GeV},T_d \sim 10 \mathrm{MeV} $.
| astro-ph gr-qc hep-ph hep-th | mass bounds on dark matter dm candidates are obtained for particles decoupling in or out of equilibrium with bf arbitrary isotropic and homogeneous distribution functions a coarse grained liouville invariant primordial phase space density mathcal d is introduced combining its value with recent photometric and kinematic data on dwarf spheroidal satellite galaxies in the milky way dshps the dm density today and nbody simulations yields upper and lower bounds on the mass primordial phase space densities and velocity dispersion of the dm candidates the mass of the dm particles is bound in the few kev range if chemical freeze out occurs before thermal decoupling light bosonic particles can bosecondense such boseeinstein it condensate is studied as a dark matter candidate depending on the relation between the criticalt_cand decouplingt_dtemperatures a bec light relic could act as cdm but the decoupling scale must be it higher than the electroweak scale the condensate tightens the upper bound on the particles mass nonequilibrium scenarios that describe particle production and partial thermalization sterile neutrinos produced out of equilibrium and other dm models are analyzed in detail obtaining bounds on their mass primordial phase space density and velocity dispersion light thermal relics with m sim mathrmfew mathrmkev and sterile neutrinos lead to a primordial phase space density compatible with bf cored dshps and disfavor cusped satellites light bose condensed dm candidates yield phase space densities consistent with bf cores and if t_cgg t_d also with cusps phase space density bounds from nbody simulations suggest a potential tension for wimps with m sim 100 mathrmgevt_d sim 10 mathrmmev | [['mass', 'bounds', 'on', 'dark', 'matter', 'dm', 'candidates', 'are', 'obtained', 'for', 'particles', 'decoupling', 'in', 'or', 'out', 'of', 'equilibrium', 'with', 'bf', 'arbitrary', 'isotropic', 'and', 'homogeneous', 'distribution', 'functions', 'a', 'coarse', 'grained', 'liouville', 'invariant', 'primordial', 'phase', 'space', 'density', 'mathcal', 'd', 'is', 'introduced', 'combining', 'its', 'value', 'with', 'recent', 'photometric', 'and', 'kinematic', 'data', 'on', 'dwarf', 'spheroidal', 'satellite', 'galaxies', 'in', 'the', 'milky', 'way', 'dshps', 'the', 'dm', 'density', 'today', 'and', 'nbody', 'simulations', 'yields', 'upper', 'and', 'lower', 'bounds', 'on', 'the', 'mass', 'primordial', 'phase', 'space', 'densities', 'and', 'velocity', 'dispersion', 'of', 'the', 'dm', 'candidates', 'the', 'mass', 'of', 'the', 'dm', 'particles', 'is', 'bound', 'in', 'the', 'few', 'kev', 'range', 'if', 'chemical', 'freeze', 'out', 'occurs', 'before', 'thermal', 'decoupling', 'light', 'bosonic', 'particles', 'can', 'bosecondense', 'such', 'boseeinstein', 'it', 'condensate', 'is', 'studied', 'as', 'a', 'dark', 'matter', 'candidate', 'depending', 'on', 'the', 'relation', 'between', 'the', 'criticalt_cand', 'decouplingt_dtemperatures', 'a', 'bec', 'light', 'relic', 'could', 'act', 'as', 'cdm', 'but', 'the', 'decoupling', 'scale', 'must', 'be', 'it', 'higher', 'than', 'the', 'electroweak', 'scale', 'the', 'condensate', 'tightens', 'the', 'upper', 'bound', 'on', 'the', 'particles', 'mass', 'nonequilibrium', 'scenarios', 'that', 'describe', 'particle', 'production', 'and', 'partial', 'thermalization', 'sterile', 'neutrinos', 'produced', 'out', 'of', 'equilibrium', 'and', 'other', 'dm', 'models', 'are', 'analyzed', 'in', 'detail', 'obtaining', 'bounds', 'on', 'their', 'mass', 'primordial', 'phase', 'space', 'density', 'and', 'velocity', 'dispersion', 'light', 'thermal', 'relics', 'with', 'm', 'sim', 'mathrmfew', 'mathrmkev', 'and', 'sterile', 'neutrinos', 'lead', 'to', 'a', 'primordial', 'phase', 'space', 'density', 'compatible', 'with', 'bf', 'cored', 'dshps', 'and', 'disfavor', 'cusped', 'satellites', 'light', 'bose', 'condensed', 'dm', 'candidates', 'yield', 'phase', 'space', 'densities', 'consistent', 'with', 'bf', 'cores', 'and', 'if', 't_cgg', 't_d', 'also', 'with', 'cusps', 'phase', 'space', 'density', 'bounds', 'from', 'nbody', 'simulations', 'suggest', 'a', 'potential', 'tension', 'for', 'wimps', 'with', 'm', 'sim', '100', 'mathrmgevt_d', 'sim', '10', 'mathrmmev']] | [-0.13277732107538995, 0.280104587523736, -0.12120215928248006, 0.12469338497658458, -0.061499567497081645, -0.11238221381240943, 0.023879918145147835, 0.31550384799062503, -0.15658364895965873, -0.381819320820624, 0.009684629939995177, -0.290568799788763, 0.014256379338839333, 0.16589595689383285, 0.06681029283529602, 0.03726304944317722, 0.021655731755180475, -0.008489016155660974, -0.08649398621600708, -0.27750217964080726, 0.2914127383278463, 0.06266972921260698, 0.1711793073176179, 0.028993214762908972, 0.059915942717416903, -0.07150615104584127, -0.02763232369572621, -0.07029114511871425, -0.20663491691620017, -0.009613263275012315, 0.16450436865447346, 0.06685517292069161, 0.11160900866554126, -0.39464033375252183, -0.2363287109338979, 0.2002890787094714, 0.1961016040286196, 0.04990393644946767, -0.10028392490912522, -0.3412040525471689, 0.03232850920932375, -0.19228412055201446, -0.16273648508523744, -0.030623661028771242, 0.036451865733769816, -0.02012776831663617, -0.24369301334643134, 0.1878264394842453, -0.030808854372172772, -0.04131450316356312, -0.0776209579620283, -0.1476139732880342, -0.08562351289131004, -0.05603369467481091, 0.04089047786354373, 0.028954715075660643, 0.24694671116376984, -0.151594072163259, 0.002809015438180622, 0.4291309398785967, -0.13706353198175225, -0.09677874037673272, 0.18679639287375457, -0.15910206729084195, -0.14063488913875982, 0.13345748395200702, 0.1406790139566095, 0.06113680548540602, -0.10019430154054536, 0.12829888748132448, -0.05484888889858001, 0.20958781708100643, 0.09685781693331692, 0.0729898809295837, 0.37384314547241554, 0.14735368779479108, 0.09542891875965388, 0.008055784844740213, -0.13078809443102254, -0.0884946343561407, -0.28035437077005193, -0.1264818444418149, -0.17144420420783976, 0.037143288202002626, -0.14872314042578347, -0.10097767602043652, 0.2928960642623385, 0.097548262191, 0.22461008155392118, 0.0696758478788263, 0.3074722847320125, 0.09047294111911383, 0.016689880090164328, 0.1033772448037465, 0.2872920963898536, 0.19911135884192516, 0.06952491360826521, -0.20306659767983526, -0.02195894025499001, 0.01809041109944393] |
710.5181 | Persistence of stratification of normally expanded laminations | This manuscript complements the Hirsch-Pugh-Shub (HPS) theory on persistence
of normally hyperbolic laminations and the theorem of Robinson on the
structural stability of diffeomorphisms that satisfy Axiom A and the strong
transversality condition (SA). We generalize these results by introducing a
geometric object: the stratification of laminations. It is a stratification
whose strata are laminations. Our main theorem implies the persistence of some
stratifications whose strata are normally expanded. The dynamics is a
$C^r$-endomorphism of a manifold (which is possibly not invertible). The
persistence means that for any $C^r$-perturbation of the dynamics, there exists
a close $C^r$-stratification preserved by the perturbation. This theorem in its
elementary statement (the stratification is constituted by a unique stratum)
gives the persistence of normally expanded laminations by endomorphisms,
generalizing HPS theory. Another application of this theorem is the
persistence, as stratifications, of submanifolds with boundary or corners
normally expanded. Moreover, we remark that SA diffeomorphism gives a canonical
stratifications: the stratification whose strata are the stable sets of basic
pieces of the spectral decomposition. Our Main theorem then implies the
persistence of some ``normally SA'' laminations which are not normally
hyperbolic.
| math.DS | this manuscript complements the hirschpughshub hps theory on persistence of normally hyperbolic laminations and the theorem of robinson on the structural stability of diffeomorphisms that satisfy axiom a and the strong transversality condition sa we generalize these results by introducing a geometric object the stratification of laminations it is a stratification whose strata are laminations our main theorem implies the persistence of some stratifications whose strata are normally expanded the dynamics is a crendomorphism of a manifold which is possibly not invertible the persistence means that for any crperturbation of the dynamics there exists a close crstratification preserved by the perturbation this theorem in its elementary statement the stratification is constituted by a unique stratum gives the persistence of normally expanded laminations by endomorphisms generalizing hps theory another application of this theorem is the persistence as stratifications of submanifolds with boundary or corners normally expanded moreover we remark that sa diffeomorphism gives a canonical stratifications the stratification whose strata are the stable sets of basic pieces of the spectral decomposition our main theorem then implies the persistence of some normally sa laminations which are not normally hyperbolic | [['this', 'manuscript', 'complements', 'the', 'hirschpughshub', 'hps', 'theory', 'on', 'persistence', 'of', 'normally', 'hyperbolic', 'laminations', 'and', 'the', 'theorem', 'of', 'robinson', 'on', 'the', 'structural', 'stability', 'of', 'diffeomorphisms', 'that', 'satisfy', 'axiom', 'a', 'and', 'the', 'strong', 'transversality', 'condition', 'sa', 'we', 'generalize', 'these', 'results', 'by', 'introducing', 'a', 'geometric', 'object', 'the', 'stratification', 'of', 'laminations', 'it', 'is', 'a', 'stratification', 'whose', 'strata', 'are', 'laminations', 'our', 'main', 'theorem', 'implies', 'the', 'persistence', 'of', 'some', 'stratifications', 'whose', 'strata', 'are', 'normally', 'expanded', 'the', 'dynamics', 'is', 'a', 'crendomorphism', 'of', 'a', 'manifold', 'which', 'is', 'possibly', 'not', 'invertible', 'the', 'persistence', 'means', 'that', 'for', 'any', 'crperturbation', 'of', 'the', 'dynamics', 'there', 'exists', 'a', 'close', 'crstratification', 'preserved', 'by', 'the', 'perturbation', 'this', 'theorem', 'in', 'its', 'elementary', 'statement', 'the', 'stratification', 'is', 'constituted', 'by', 'a', 'unique', 'stratum', 'gives', 'the', 'persistence', 'of', 'normally', 'expanded', 'laminations', 'by', 'endomorphisms', 'generalizing', 'hps', 'theory', 'another', 'application', 'of', 'this', 'theorem', 'is', 'the', 'persistence', 'as', 'stratifications', 'of', 'submanifolds', 'with', 'boundary', 'or', 'corners', 'normally', 'expanded', 'moreover', 'we', 'remark', 'that', 'sa', 'diffeomorphism', 'gives', 'a', 'canonical', 'stratifications', 'the', 'stratification', 'whose', 'strata', 'are', 'the', 'stable', 'sets', 'of', 'basic', 'pieces', 'of', 'the', 'spectral', 'decomposition', 'our', 'main', 'theorem', 'then', 'implies', 'the', 'persistence', 'of', 'some', 'normally', 'sa', 'laminations', 'which', 'are', 'not', 'normally', 'hyperbolic']] | [-0.1900207392319989, 0.14944841316141916, -0.17713305614281283, 0.1158308958673961, -0.0552441895554733, -0.0850071295894652, -0.0026624047661797426, 0.27007190685759747, -0.30478399361321784, -0.18663950465649934, 0.12515364924816505, -0.2369346016633284, -0.14729618895501556, 0.18958751620907013, -0.17566372686490903, -0.01110340925547264, 0.06543722872764034, 0.03062973754308389, -0.04363105831409642, -0.2620516058308093, 0.4128056617160125, 0.0005551331889127259, 0.24908038844865665, 0.04544798927584096, 0.1010169445020754, -0.021898179289722895, -0.00979941276549969, 0.06774640634419325, -0.15622287425752723, 0.16185306195098825, 0.22682745935289067, 0.10590626919166306, 0.22102126479655018, -0.3633085083337906, -0.19736474440002855, 0.11892342535050018, 0.08764127815526951, 0.03576268868077339, 0.014437776996561772, -0.2683078309055418, 0.11788540090041667, -0.08610463628302449, -0.20198007045141625, -0.07987513555638978, 0.012408591584181007, 0.0369509743253255, -0.18503934452082435, 0.0077229331617000635, 0.2017688741148247, 0.14674254392815309, -0.07995500717167844, -0.0629143430294631, -0.10919313179075961, 0.07414958707142985, 0.05774986243182945, 0.03645725814757221, 0.1256263328528882, -0.02888993465508658, -0.07450416583078154, 0.36153322045245895, -0.049039038211998086, -0.2655881745133387, 0.17976703764060917, -0.13779282746785929, -0.16012702624151565, 0.1675378231397506, 0.039555667287103184, 0.12489982166975412, -0.0656817571978773, 0.15335407165833242, -0.11893391990768419, 0.10107111742051886, 0.1130151551662256, -0.010126400571607519, 0.17368480230241246, 0.11817714820474225, 0.13358323422511129, 0.12068546623745731, -0.0006346358252061611, -0.07405584307043286, -0.381132363382241, -0.19580655439210165, -0.1175728009332923, 0.10272460902991082, -0.11082142896607959, -0.2586139912777783, 0.39076881986060785, 0.07619950965517605, 0.19480722475513493, 0.0960255906855151, 0.274115832609823, 0.08659003323080706, 0.0585998577576981, 0.04620683218767543, 0.19151867928177008, 0.2112339835679766, 0.01881094165298197, -0.10907972872155369, 0.05290801385695965, 0.20776038142123623] |
710.5182 | Rare Bc->Ds l^+ l^- decay beyond the standard model | The rare Bc->Ds l^+ l^- decay is investigated by using the most general model
independent effective Hamiltonian. The general expressions of longitudinal,
normal and transversal polarization asymmetries for l^- and l^+ and the
combined asymmetries of them are found. The dependencies of the branching
ratios and polarizations on the new Wilson coefficients are presented. The
analysis shows that the branching ratios and the lepton polarization
asymmetries are very sensitive to the scalar and tensor type interactions.
These results will be very useful in searching new physics beyond the standard
model.
| hep-ph | the rare bcds l l decay is investigated by using the most general model independent effective hamiltonian the general expressions of longitudinal normal and transversal polarization asymmetries for l and l and the combined asymmetries of them are found the dependencies of the branching ratios and polarizations on the new wilson coefficients are presented the analysis shows that the branching ratios and the lepton polarization asymmetries are very sensitive to the scalar and tensor type interactions these results will be very useful in searching new physics beyond the standard model | [['the', 'rare', 'bcds', 'l', 'l', 'decay', 'is', 'investigated', 'by', 'using', 'the', 'most', 'general', 'model', 'independent', 'effective', 'hamiltonian', 'the', 'general', 'expressions', 'of', 'longitudinal', 'normal', 'and', 'transversal', 'polarization', 'asymmetries', 'for', 'l', 'and', 'l', 'and', 'the', 'combined', 'asymmetries', 'of', 'them', 'are', 'found', 'the', 'dependencies', 'of', 'the', 'branching', 'ratios', 'and', 'polarizations', 'on', 'the', 'new', 'wilson', 'coefficients', 'are', 'presented', 'the', 'analysis', 'shows', 'that', 'the', 'branching', 'ratios', 'and', 'the', 'lepton', 'polarization', 'asymmetries', 'are', 'very', 'sensitive', 'to', 'the', 'scalar', 'and', 'tensor', 'type', 'interactions', 'these', 'results', 'will', 'be', 'very', 'useful', 'in', 'searching', 'new', 'physics', 'beyond', 'the', 'standard', 'model']] | [-0.12436344516592929, 0.18358109074437784, -0.03930732752002465, 0.1461695355324385, -0.08300178953342968, -0.17142922823420828, 0.011018816604175502, 0.3257012309920457, -0.2135297773987986, -0.25231313899987273, 0.05036109976806781, -0.28537860537568727, -0.07245959136635065, 0.1928873461515953, 0.08507622635612885, 0.04276447155021338, 0.050732151279225944, -0.031492986023012134, -0.06014327923637918, -0.1859315969256891, 0.2598999986218082, 0.045016506562630336, 0.2745208467977742, 0.04924630677948395, 0.004521169322025445, 0.013554700210483538, -0.12844283717891408, 0.03266609110352066, -0.11260061099544853, 0.09590949407106059, 0.20207686766516417, 0.07986521276689018, 0.07938474875150456, -0.35975792583905986, -0.09080850472673774, 0.10047416280334194, 0.14686248123956222, 0.08749348284780151, -0.008554952411860642, -0.2881651336327195, 0.06064649317413569, -0.11310291056417757, -0.10150234154942962, -0.11694392823200259, 0.09381538625392649, 0.00966012157085869, -0.3180152829012109, 0.07533911990047071, 0.030275692443440978, 0.03959726527747181, 0.016714703340807723, -0.23619818721328759, -0.04026498142371161, 0.07732038343739178, 0.08716434313747515, 0.0016523481605367528, 0.12997099664806025, -0.11956825394493838, -0.10709633346155492, 0.39169860026902625, -0.11649154908308346, -0.21531061058243114, 0.18206072869814105, -0.21708666539957955, -0.16250311151250368, 0.11392148641971289, 0.19701108703803685, 0.1324804360874825, -0.16764149650310475, 0.09222294660931867, -0.030886166637194238, 0.09644191929449637, 0.03179400110255099, 0.06528864051862103, 0.2375781528548234, 0.1097958326494942, -0.014874732233066526, 0.07548980121112739, -0.10486840947511761, -0.06958256584281723, -0.3604897382772631, -0.12402055837834874, -0.07736813347114044, 0.04762373882371725, -0.12299131795977397, -0.08288599646960695, 0.4051262071252697, 0.08463728269149821, 0.2336865140493804, 0.049552763605283365, 0.26275324726270305, 0.13213459108438758, 0.10655642217542562, 0.04834127474783195, 0.2897240467990438, 0.2209853201923478, 0.13179361370857806, -0.2512736775032762, 0.09957262405401303, 0.0012786907092150715] |
710.5183 | The Active Nucleus of IC4970: A Nearby Example of Merger-Induced
Cold-Gas Accretion | We present results from Chandra X-ray and Spitzer mid-infrared observations
of the interacting galaxy pair NGC6872/IC4970 in the Pavo galaxy group and show
that the smaller companion galaxy IC4970 hosts a highly obscured active
galactic nucleus (AGN). The 0.5-10 keV X-ray luminosity of the nucleus is
variable, increasing by a factor 2.9 to 1.7 x 10^{42} erg/s (bright state) on
~100 ks timescales. The X-ray spectrum of the is heavily absorbed (N_H = 3 x
10^{23} cm^{-2}) for power law models with Gamma = 1.5-2.0 and shows a clear
6.4 keV Fe Kalpha line with equivalent width of 144-195 eV. Limits on the
diffuse emission in IC4970 from Chandra X-ray data suggest that the available
power from Bondi accretion of hot interstellar gas may be an order of magnitude
too small to power the AGN. Spitzer images show that 8 micron nonstellar
emission is concentrated in the central 1 kpc of IC4970, consistent with high
obscuration in this region. The mid-infrared colors of the nucleus are
consistent with those expected for a highly obscured AGN. Taken together these
data suggest that the nucleus of IC4970 is a Seyfert 2, triggered and fueled by
cold material supplied to the central supermassive black hole as a result of
the off-axis collision of IC4970 with the cold-gas rich spiral galaxy NGC6872.
| astro-ph | we present results from chandra xray and spitzer midinfrared observations of the interacting galaxy pair ngc6872ic4970 in the pavo galaxy group and show that the smaller companion galaxy ic4970 hosts a highly obscured active galactic nucleus agn the 0510 kev xray luminosity of the nucleus is variable increasing by a factor 29 to 17 x 1042 ergs bright state on 100 ks timescales the xray spectrum of the is heavily absorbed n_h 3 x 1023 cm2 for power law models with gamma 1520 and shows a clear 64 kev fe kalpha line with equivalent width of 144195 ev limits on the diffuse emission in ic4970 from chandra xray data suggest that the available power from bondi accretion of hot interstellar gas may be an order of magnitude too small to power the agn spitzer images show that 8 micron nonstellar emission is concentrated in the central 1 kpc of ic4970 consistent with high obscuration in this region the midinfrared colors of the nucleus are consistent with those expected for a highly obscured agn taken together these data suggest that the nucleus of ic4970 is a seyfert 2 triggered and fueled by cold material supplied to the central supermassive black hole as a result of the offaxis collision of ic4970 with the coldgas rich spiral galaxy ngc6872 | [['we', 'present', 'results', 'from', 'chandra', 'xray', 'and', 'spitzer', 'midinfrared', 'observations', 'of', 'the', 'interacting', 'galaxy', 'pair', 'ngc6872ic4970', 'in', 'the', 'pavo', 'galaxy', 'group', 'and', 'show', 'that', 'the', 'smaller', 'companion', 'galaxy', 'ic4970', 'hosts', 'a', 'highly', 'obscured', 'active', 'galactic', 'nucleus', 'agn', 'the', '0510', 'kev', 'xray', 'luminosity', 'of', 'the', 'nucleus', 'is', 'variable', 'increasing', 'by', 'a', 'factor', '29', 'to', '17', 'x', '1042', 'ergs', 'bright', 'state', 'on', '100', 'ks', 'timescales', 'the', 'xray', 'spectrum', 'of', 'the', 'is', 'heavily', 'absorbed', 'n_h', '3', 'x', '1023', 'cm2', 'for', 'power', 'law', 'models', 'with', 'gamma', '1520', 'and', 'shows', 'a', 'clear', '64', 'kev', 'fe', 'kalpha', 'line', 'with', 'equivalent', 'width', 'of', '144195', 'ev', 'limits', 'on', 'the', 'diffuse', 'emission', 'in', 'ic4970', 'from', 'chandra', 'xray', 'data', 'suggest', 'that', 'the', 'available', 'power', 'from', 'bondi', 'accretion', 'of', 'hot', 'interstellar', 'gas', 'may', 'be', 'an', 'order', 'of', 'magnitude', 'too', 'small', 'to', 'power', 'the', 'agn', 'spitzer', 'images', 'show', 'that', '8', 'micron', 'nonstellar', 'emission', 'is', 'concentrated', 'in', 'the', 'central', '1', 'kpc', 'of', 'ic4970', 'consistent', 'with', 'high', 'obscuration', 'in', 'this', 'region', 'the', 'midinfrared', 'colors', 'of', 'the', 'nucleus', 'are', 'consistent', 'with', 'those', 'expected', 'for', 'a', 'highly', 'obscured', 'agn', 'taken', 'together', 'these', 'data', 'suggest', 'that', 'the', 'nucleus', 'of', 'ic4970', 'is', 'a', 'seyfert', '2', 'triggered', 'and', 'fueled', 'by', 'cold', 'material', 'supplied', 'to', 'the', 'central', 'supermassive', 'black', 'hole', 'as', 'a', 'result', 'of', 'the', 'offaxis', 'collision', 'of', 'ic4970', 'with', 'the', 'coldgas', 'rich', 'spiral', 'galaxy', 'ngc6872']] | [-0.02585490007267908, 0.09908504964992955, -0.0417828851066112, 0.10411037368836995, -0.0858326950643612, -0.09271932781726192, 0.05565391793394479, 0.4852083689298167, -0.12357176533151118, -0.33470468167607265, 0.04821880988855019, -0.38589710423670637, 0.06372209374845098, 0.19064626506547155, -0.02770755611369321, -0.07603278326166567, -0.009815265113383393, -0.13031016119372832, -0.0019387334441574656, -0.2413532795280079, 0.27101302371255914, 0.10940448167433561, 0.1458609736764969, -0.013278803410999712, 0.07937598101186531, -0.08905092802847449, -0.07794738493024189, -0.043425938776024034, -0.10017179822504073, 0.07279114641257883, 0.2736806405011912, 0.07995782886081262, 0.2036784445068899, -0.3452114644819418, -0.20663127981133925, 0.027567281240051193, 0.203979554676416, -0.064970493211115, -0.07456787362059351, -0.2703046374149168, 0.052340303690751544, -0.24823111677531448, -0.19138311362329208, 0.12574858008231096, 0.0716070081003959, 0.03033768951514231, -0.1964912926473559, 0.16322492704924363, 0.004078998978393344, 0.059836357362485694, -0.16088230020766991, -0.07213044721006512, -0.07574840678145812, -0.016461843017610573, 0.04064405205165619, 0.1196276165510171, 0.258787147463604, -0.14452210606062768, -0.03606802863112398, 0.38080886255505836, -0.009937973095160674, 0.11495868924343697, 0.20724044469072023, -0.2493892804834835, -0.18085005930320264, 0.27536009946646534, 0.11298907472682403, 0.10392781768215709, -0.10883115143645729, 0.003417632005081695, -0.08570955680665847, 0.3388432335395749, -0.023394897849969218, 0.07894690949214127, 0.31986306676484433, 0.10218088528593984, 0.02657235938202694, 0.12205415322155927, -0.265913570573919, 0.03578669789778156, -0.23671875486126448, -0.03199956336746288, -0.1441001342593375, 0.17674022233200687, -0.1758145393243943, -0.07099554658580189, 0.2960706897271432, 0.05299941963292049, 0.2599585931160635, 0.00855594734165156, 0.2997409159548267, 0.08465537933630556, 0.07566710104012565, 0.13808260297306996, 0.3414535470367801, 0.1533136159142427, 0.06568842610696801, -0.21931729270428174, 0.019171851743708983, -0.0020472895333360636] |
710.5184 | Heat Kernel Coefficients for Two-Dimensional Schrodinger Operators | In this note, we compute the Hadamard coefficients of (algebraically)
integrable Schrodinger operators in two dimensions. These operators first
appeared in [BL] and [B] in connection with Huygens' principle, and our result
completes, in a sense, the investigation initiated in those papers.
| math-ph math.MP | in this note we compute the hadamard coefficients of algebraically integrable schrodinger operators in two dimensions these operators first appeared in bl and b in connection with huygens principle and our result completes in a sense the investigation initiated in those papers | [['in', 'this', 'note', 'we', 'compute', 'the', 'hadamard', 'coefficients', 'of', 'algebraically', 'integrable', 'schrodinger', 'operators', 'in', 'two', 'dimensions', 'these', 'operators', 'first', 'appeared', 'in', 'bl', 'and', 'b', 'in', 'connection', 'with', 'huygens', 'principle', 'and', 'our', 'result', 'completes', 'in', 'a', 'sense', 'the', 'investigation', 'initiated', 'in', 'those', 'papers']] | [-0.16071966383606195, 0.12056881679399382, -0.040074468102483524, 0.04900636726580117, -0.0579983324278146, -0.10142547784683605, -0.008496176141003767, 0.3306230294651219, -0.20103479257696086, -0.23628505452403, 0.07316773109293233, -0.27263022099976386, -0.21431046688840502, 0.17471495148770155, -0.09439271114145716, 0.04372222306916401, 0.053027103355686576, 0.010220938761319433, -0.08476672740653157, -0.2949464551306197, 0.3561450010165572, -0.03883560378814027, 0.19889592519029975, 0.017653679386490866, 0.03976160357706249, 0.02579110731104655, -0.14680083925347953, -0.024056166676538333, -0.1397836199473767, 0.14068069113861947, 0.29977271382120396, 0.019664902018294447, 0.23141685924271033, -0.4028541926915447, -0.1436526580891084, 0.1153308094501318, 0.14306393449771262, 0.07273823541722127, -0.011947134820123514, -0.29360640696471646, 0.01955263972991989, -0.13653657762777238, -0.20896751772878425, -0.017180967033796367, 0.040613613091409206, -0.02677295290465866, -0.24088221194133871, 0.09942049360168832, 0.15549184257785478, 0.0692156095257295, -0.10265165360067927, -0.06692148018850103, 0.06212416252986129, 0.04271274311689749, 0.07139087042638234, 0.015705485229513476, -0.0046002772924978105, -0.04479281354274246, -0.17499988943260783, 0.30659846358356024, -0.1030409434765932, -0.1977739994680243, 0.15914020166244536, -0.23005795753782704, -0.21120479807168954, 0.025459861316319023, 0.12544572425429665, 0.16921649766819818, -0.15236758449602694, 0.1814331197418228, -0.07869152432041508, 0.058333340721825756, 0.12323668339688863, 0.0525654936209321, 0.10040745304875254, 0.025545287023608882, 0.044965499945517094, 0.13301582024654462, 0.051530170919639726, -0.0971908637743798, -0.37885344879967825, -0.2105435885799428, -0.1504377674843584, 0.13482861292903267, -0.012895264063401902, -0.12652060946094848, 0.445190777558656, 0.1423512342208553, 0.17383855470411835, 0.04153630474493617, 0.1681803267537838, 0.10893166663646255, 0.06876604366143943, 0.09717268086526365, 0.26198529693785877, 0.19850379623295294, 0.17764387814150678, -0.130246954792667, -0.05674624039481083, 0.21097004812742984] |
710.5185 | Ergodicity and hydrodynamic limits for an epidemic model | We consider two approaches to study the spread of infectious diseases within
a spatially structured population distributed in social clusters. According
whether we consider only the population of infected individuals or both
populations of infected individuals and healthy ones, two models are given to
study an epidemic phenomenon. Our first approach is at a microscopic level, its
goal is to determine if an epidemic may occur for those models. The second one
is the derivation of hydrodynamics limits. By using the relative entropy method
we prove that the empirical measures of infected and healthy individuals
converge to a deterministic measure absolutely continuous with respect to the
Lebesgue measure, whose density is the solution of a system of
reaction-diffusion equations.
| math.PR | we consider two approaches to study the spread of infectious diseases within a spatially structured population distributed in social clusters according whether we consider only the population of infected individuals or both populations of infected individuals and healthy ones two models are given to study an epidemic phenomenon our first approach is at a microscopic level its goal is to determine if an epidemic may occur for those models the second one is the derivation of hydrodynamics limits by using the relative entropy method we prove that the empirical measures of infected and healthy individuals converge to a deterministic measure absolutely continuous with respect to the lebesgue measure whose density is the solution of a system of reactiondiffusion equations | [['we', 'consider', 'two', 'approaches', 'to', 'study', 'the', 'spread', 'of', 'infectious', 'diseases', 'within', 'a', 'spatially', 'structured', 'population', 'distributed', 'in', 'social', 'clusters', 'according', 'whether', 'we', 'consider', 'only', 'the', 'population', 'of', 'infected', 'individuals', 'or', 'both', 'populations', 'of', 'infected', 'individuals', 'and', 'healthy', 'ones', 'two', 'models', 'are', 'given', 'to', 'study', 'an', 'epidemic', 'phenomenon', 'our', 'first', 'approach', 'is', 'at', 'a', 'microscopic', 'level', 'its', 'goal', 'is', 'to', 'determine', 'if', 'an', 'epidemic', 'may', 'occur', 'for', 'those', 'models', 'the', 'second', 'one', 'is', 'the', 'derivation', 'of', 'hydrodynamics', 'limits', 'by', 'using', 'the', 'relative', 'entropy', 'method', 'we', 'prove', 'that', 'the', 'empirical', 'measures', 'of', 'infected', 'and', 'healthy', 'individuals', 'converge', 'to', 'a', 'deterministic', 'measure', 'absolutely', 'continuous', 'with', 'respect', 'to', 'the', 'lebesgue', 'measure', 'whose', 'density', 'is', 'the', 'solution', 'of', 'a', 'system', 'of', 'reactiondiffusion', 'equations']] | [-0.08084712659807078, 0.1194390765855484, -0.09677283984741994, 0.09586618165289905, -0.014386477866483963, -0.17330383919883802, 0.08847617195966113, 0.3544522075045134, -0.2463566580818606, -0.22844528247056403, 0.09399986505301028, -0.3526890944971257, -0.15405988497972614, 0.10721366759193983, -0.09906580120896404, 0.0046563100988366215, 0.06000118551603636, 0.09493461082554462, 0.05902635887805216, -0.2822959600994755, 0.35221250075162114, -0.007465438812358712, 0.24542961301117697, -0.024194262025705657, 0.11569273617791653, -0.04892633155481342, -0.04630900387057424, 0.022895661053018344, -0.1514044243184103, 0.10066697835196357, 0.27258415895930205, 0.17489428129321075, 0.37348742408975333, -0.40948566072816106, -0.21997258061457017, 0.1769139115158625, 0.14999450533993214, 0.14397862096348418, 0.03900630006120548, -0.29333974317717953, 0.07732728256319626, -0.1630724990630851, -0.1918732584718255, 0.008119489449788542, 0.017044687103636626, 0.048530027589236364, -0.2660073780165124, 0.11630892546988335, 0.0031745086266671916, 0.07129969620028463, -0.0956575014841735, -0.06445392829996041, -0.052193614898812996, 0.17281196944360785, 0.06772867770583815, -0.015931378054861056, 0.15235952044907614, -0.12105780494782854, -0.12392316346972429, 0.3387113219800116, -0.03413921951300645, -0.2155727732679836, 0.2097827174912105, -0.14825629524714432, -0.10086786274665169, 0.1090927033434708, 0.21584970439479007, 0.1131078567935013, -0.23065379092923732, 0.01007083203436165, -0.03374496895620333, 0.16492000226119236, 0.01690816641941729, -0.03252846987511055, 0.15817730873040542, 0.21691142083654383, 0.12019780816651192, 0.07555637737939588, -0.04823300217771355, -0.12359234829581961, -0.2406487694683195, -0.12894295721839205, -0.16603015145646924, 0.07383017341739365, -0.10846466835203752, -0.21281775702162795, 0.410286360334198, 0.15705500630477928, 0.1660986181638133, 0.13315822220869175, 0.23509142987680534, 0.09925450914942448, -0.010611827780703912, 0.06830534846874095, 0.16132461832554526, 0.12525350054992096, 0.04092050990981966, -0.21643202796313293, 0.15211727370766281, 0.03778588331398405] |
710.5186 | General analysis of the rare Bc->D^*_s l^+ l^- decay beyond the standard
model | The general analysis of the rare Bc->D^*_s l^+ l^- decay is presented by
using the most general, model independent effective Hamiltonian. The
dependencies of the branching ratios, longitudinal, normal and transversal
polarization asymmetries for l^- and the combined asymmetries for l^- and l^+
on the new Wilson coefficients are investigated. Our analysis shows that the
lepton polarization asymmetries are very sensitive to the scalar and tensor
type interactions, which will be very useful in looking for new physics beyond
the standard model.
| hep-ph | the general analysis of the rare bcd_s l l decay is presented by using the most general model independent effective hamiltonian the dependencies of the branching ratios longitudinal normal and transversal polarization asymmetries for l and the combined asymmetries for l and l on the new wilson coefficients are investigated our analysis shows that the lepton polarization asymmetries are very sensitive to the scalar and tensor type interactions which will be very useful in looking for new physics beyond the standard model | [['the', 'general', 'analysis', 'of', 'the', 'rare', 'bcd_s', 'l', 'l', 'decay', 'is', 'presented', 'by', 'using', 'the', 'most', 'general', 'model', 'independent', 'effective', 'hamiltonian', 'the', 'dependencies', 'of', 'the', 'branching', 'ratios', 'longitudinal', 'normal', 'and', 'transversal', 'polarization', 'asymmetries', 'for', 'l', 'and', 'the', 'combined', 'asymmetries', 'for', 'l', 'and', 'l', 'on', 'the', 'new', 'wilson', 'coefficients', 'are', 'investigated', 'our', 'analysis', 'shows', 'that', 'the', 'lepton', 'polarization', 'asymmetries', 'are', 'very', 'sensitive', 'to', 'the', 'scalar', 'and', 'tensor', 'type', 'interactions', 'which', 'will', 'be', 'very', 'useful', 'in', 'looking', 'for', 'new', 'physics', 'beyond', 'the', 'standard', 'model']] | [-0.11506033189563127, 0.17330488488997942, -0.05180105488002875, 0.14036650620659608, -0.09426590970452921, -0.18732845803929699, 0.00626001584654053, 0.2955621640301413, -0.23267874360389226, -0.2459668482159391, 0.0629013431744282, -0.2734986276906214, -0.06898261063996657, 0.19986521723438744, 0.086176853052076, 0.038408579944379996, 0.05021611710918354, -0.01968697107822439, -0.052223569625862123, -0.16569282896356818, 0.27379608312966647, 0.06540478595796927, 0.26490174973222574, 0.049511491470498804, 0.016855143614251306, 0.050051500704599385, -0.1204979880138036, 0.044201544761933664, -0.10140665593015585, 0.09818096034930168, 0.19545417070607252, 0.0730608201636552, 0.10443053287626416, -0.35954662773436236, -0.1225533595877803, 0.09577821637791248, 0.15121188127424245, 0.0819667945659064, -0.012291637061014311, -0.27729295821929417, 0.06991220901455776, -0.11420445145326263, -0.10720266711058808, -0.11781490415357697, 0.10047432725076322, -0.010805956628403546, -0.33081602617914296, 0.07506708010713524, 0.039030091566131395, 0.06041260355692587, 0.038816288806337085, -0.2197052964589984, -0.02947917743873449, 0.07624608991138729, 0.07737874562699738, 0.023870425764471292, 0.1086694363322839, -0.10930243401822669, -0.08822552004489864, 0.3832479923227687, -0.12757702387530173, -0.22600429321144833, 0.16870369677098446, -0.20651507702437633, -0.1716631885824932, 0.10387397000886267, 0.20146973191955944, 0.12703588908469235, -0.1593983743086825, 0.10658057615517375, -0.04202177434625035, 0.10393187070242417, 0.01793701364658773, 0.04947105224997403, 0.22241569132210665, 0.1382285427103785, 0.006366831526436188, 0.07437464060049136, -0.10062700785397563, -0.06750686344817097, -0.382903050976219, -0.12735727707636946, -0.1017906747005282, 0.055709945707708416, -0.11137054858795356, -0.09219579505561679, 0.4199745864779861, 0.09668120324015574, 0.22864556145339768, 0.03168914656091573, 0.2649942297764398, 0.11446025490007697, 0.10695826845749477, 0.054399460502382785, 0.28029305747721667, 0.20568942267413218, 0.13902857122988796, -0.25770916535668537, 0.08411751928980704, 0.009774690649161736] |
710.5187 | Phase Coherence and Superfluid-Insulator Transition in a Disordered
Bose-Einstein Condensate | We have studied the effects of a disordered optical potential on the
transport and phase coherence of a Bose-Einstein condensate (BEC) of 7Li atoms.
At moderate disorder strengths (V_D), we observe inhibited transport and
damping of dipole excitations, while in time-of-flight images, random but
reproducible interference patterns are observed. In-situ images reveal that the
appearance of interference is correlated with density modulation, without
complete fragmentation. At higher V_D, the interference contrast diminishes as
the BEC fragments into multiple pieces with little phase coherence.
| cond-mat.other | we have studied the effects of a disordered optical potential on the transport and phase coherence of a boseeinstein condensate bec of 7li atoms at moderate disorder strengths v_d we observe inhibited transport and damping of dipole excitations while in timeofflight images random but reproducible interference patterns are observed insitu images reveal that the appearance of interference is correlated with density modulation without complete fragmentation at higher v_d the interference contrast diminishes as the bec fragments into multiple pieces with little phase coherence | [['we', 'have', 'studied', 'the', 'effects', 'of', 'a', 'disordered', 'optical', 'potential', 'on', 'the', 'transport', 'and', 'phase', 'coherence', 'of', 'a', 'boseeinstein', 'condensate', 'bec', 'of', '7li', 'atoms', 'at', 'moderate', 'disorder', 'strengths', 'v_d', 'we', 'observe', 'inhibited', 'transport', 'and', 'damping', 'of', 'dipole', 'excitations', 'while', 'in', 'timeofflight', 'images', 'random', 'but', 'reproducible', 'interference', 'patterns', 'are', 'observed', 'insitu', 'images', 'reveal', 'that', 'the', 'appearance', 'of', 'interference', 'is', 'correlated', 'with', 'density', 'modulation', 'without', 'complete', 'fragmentation', 'at', 'higher', 'v_d', 'the', 'interference', 'contrast', 'diminishes', 'as', 'the', 'bec', 'fragments', 'into', 'multiple', 'pieces', 'with', 'little', 'phase', 'coherence']] | [-0.19890670320131335, 0.2778636810863503, -0.06757925716563323, 0.07012919809652425, 0.025139268678444696, -0.1576671217826296, 0.047755055432488404, 0.4180594570261527, -0.24083324678870568, -0.2503074131210346, -0.012479798389312598, -0.3235796482515443, -0.0873759571036481, 0.09365620987534702, 0.039151067391082824, 0.022781720351293146, 0.028485032432454538, -0.0010853168885616295, -0.05903809342297714, -0.2041582094090086, 0.2978614129081189, 0.03183508885418435, 0.3358626082786415, 0.09783540475911584, 0.04258624011516032, 0.018687700168285745, 0.04446297748777342, -0.001921716157391847, -0.10539347974975181, 0.0006927423549434507, 0.21490968565220933, 0.004095621916349046, 0.1912386115775051, -0.4719308762171541, -0.26346279529248734, 0.06071637185425105, 0.2142006190807884, 0.18553892505938657, -0.08400299487192274, -0.3206243151911052, -0.018819664010261916, -0.11721340042022786, -0.0835090834557651, -0.07772942264396024, 0.021240444957693838, 0.03005222079599366, -0.26512418364185886, 0.1404816924527018, 0.05463002085775496, 0.13115058978458485, -0.050381446173077965, -0.10380188682038023, -0.02716434422700879, 0.0554906210458153, -0.024030414468844432, 0.024118797309382493, 0.1563863221062235, -0.1722747537108273, -0.050118419472184254, 0.36524731517735737, -0.08658936453691449, -0.07794890176863914, 0.1652068816663989, -0.23283828657501973, -0.028113012476992535, 0.2507951869517116, 0.15351884214401088, 0.050344049683715926, -0.08447356456441872, -0.02604276152658669, -0.0009491143997825952, 0.1991821351764073, 0.14031255474673157, 0.17400247622169104, 0.2541208706448326, 0.1728804109012147, -0.0009033138869352728, 0.15823487066228997, -0.15915642202837416, -0.0959274277472532, -0.19574953373367282, -0.09003520875899906, -0.1871514114921531, 0.005012856110515275, -0.05571286229617299, -0.13764897599277726, 0.3520770869498332, 0.12931864971227675, 0.22012894798115076, -0.010561348357047123, 0.3278456314646426, 0.09951951488128763, 0.09472659033308008, -0.01728809990706932, 0.24516415774698808, 0.16915783398302206, 0.11092273038475359, -0.32762234038547106, 0.08008509238968682, -0.051020713991496755] |
710.5188 | Cosmological redshift and nonlinear electrodynamics propagation of
photons from distant sources | By-now photons are the unique universal messengers. Cosmological sources like
far-away galaxies or quasars are well-known light-emitters. Here we demonstrate
that the nonlinear electrodynamics (NLED) description of photon propagation
through the weak background intergalactic magnetic fields modifies in a
fundamental way the cosmological redshift that a direct computation within a
specific cosmological model can abscribe to a distant source. Independently of
the class of NLED Lagrangian, the effective redshift turns out to be $1 +
\tilde{z} = (1 + z) \Delta$, where $\Delta \equiv (1 + \Phi_e)/(1 + \Phi_o)$,
with $\Phi \equiv {8}/{3} ({L_{FF}}/{L_F}) B^2$, being $L_F = {dL}/{dF}$,
$L_{FF} = {d^2L}/{dF^2}$, the field $F\equiv F_{\alpha \beta} F^{\alpha
\beta}$, and $B$ the magnetic field strength. Thus the effective redshift is
always much higher then the standard redshift, but recovers such limit when the
NLED correction $\Delta(\Phi_e, \Phi_o) \longrightarrow 1$. This result may
provide a physical foundation for the current observation-inspired
interpretation that the universe undergoes an accelerate expansion. However,
under the situation analyzed here, for any NLED the actual (spatial) position
of the light-emitting far-away source remains untouched.
| astro-ph | bynow photons are the unique universal messengers cosmological sources like faraway galaxies or quasars are wellknown lightemitters here we demonstrate that the nonlinear electrodynamics nled description of photon propagation through the weak background intergalactic magnetic fields modifies in a fundamental way the cosmological redshift that a direct computation within a specific cosmological model can abscribe to a distant source independently of the class of nled lagrangian the effective redshift turns out to be 1 tildez 1 z delta where delta equiv 1 phi_e1 phi_o with phi equiv 83 l_ffl_f b2 being l_f dldf l_ff d2ldf2 the field fequiv f_alpha beta falpha beta and b the magnetic field strength thus the effective redshift is always much higher then the standard redshift but recovers such limit when the nled correction deltaphi_e phi_o longrightarrow 1 this result may provide a physical foundation for the current observationinspired interpretation that the universe undergoes an accelerate expansion however under the situation analyzed here for any nled the actual spatial position of the lightemitting faraway source remains untouched | [['bynow', 'photons', 'are', 'the', 'unique', 'universal', 'messengers', 'cosmological', 'sources', 'like', 'faraway', 'galaxies', 'or', 'quasars', 'are', 'wellknown', 'lightemitters', 'here', 'we', 'demonstrate', 'that', 'the', 'nonlinear', 'electrodynamics', 'nled', 'description', 'of', 'photon', 'propagation', 'through', 'the', 'weak', 'background', 'intergalactic', 'magnetic', 'fields', 'modifies', 'in', 'a', 'fundamental', 'way', 'the', 'cosmological', 'redshift', 'that', 'a', 'direct', 'computation', 'within', 'a', 'specific', 'cosmological', 'model', 'can', 'abscribe', 'to', 'a', 'distant', 'source', 'independently', 'of', 'the', 'class', 'of', 'nled', 'lagrangian', 'the', 'effective', 'redshift', 'turns', 'out', 'to', 'be', '1', 'tildez', '1', 'z', 'delta', 'where', 'delta', 'equiv', '1', 'phi_e1', 'phi_o', 'with', 'phi', 'equiv', '83', 'l_ffl_f', 'b2', 'being', 'l_f', 'dldf', 'l_ff', 'd2ldf2', 'the', 'field', 'fequiv', 'f_alpha', 'beta', 'falpha', 'beta', 'and', 'b', 'the', 'magnetic', 'field', 'strength', 'thus', 'the', 'effective', 'redshift', 'is', 'always', 'much', 'higher', 'then', 'the', 'standard', 'redshift', 'but', 'recovers', 'such', 'limit', 'when', 'the', 'nled', 'correction', 'deltaphi_e', 'phi_o', 'longrightarrow', '1', 'this', 'result', 'may', 'provide', 'a', 'physical', 'foundation', 'for', 'the', 'current', 'observationinspired', 'interpretation', 'that', 'the', 'universe', 'undergoes', 'an', 'accelerate', 'expansion', 'however', 'under', 'the', 'situation', 'analyzed', 'here', 'for', 'any', 'nled', 'the', 'actual', 'spatial', 'position', 'of', 'the', 'lightemitting', 'faraway', 'source', 'remains', 'untouched']] | [-0.13607707250443643, 0.1787236590941047, -0.03878004807564947, 0.09813139755796227, -0.1045627449667886, -0.16979095578642078, 0.01716332364666425, 0.3659436381249516, -0.22963795926203423, -0.2779866380927463, 0.013158122606842813, -0.26731717227785673, -0.055261411122765024, 0.1911302246929457, 0.024247630978079318, -0.01636050032548043, -0.029034996250023443, 0.03743631660490567, -0.04175580041533348, -0.2044731716763366, 0.2881864337020634, 0.06596589747408152, 0.21368389359939796, 0.0030464093257632843, 0.11324211652103214, -0.043292206317773106, -0.009796480668700059, 0.009074342347980465, -0.16729032122424947, -0.017865007481664235, 0.19560278486891616, 0.11286197979230272, 0.24887386272534912, -0.32483341116573156, -0.2236321649548632, 0.13234415842956046, 0.19510278708221, 0.09588240724585859, -0.043467144601846135, -0.2717839517734117, 0.07051177769985602, -0.13654184015180318, -0.1480788238817987, -0.012517423287068528, 0.03398529477963615, -0.007186336981069389, -0.2689533673814659, 0.1214136864949035, 0.04114463797232918, 0.007896172150072676, -0.028948627314947108, -0.08946174450425638, -0.010105122694239757, 0.07737705052092263, 0.055765524421772565, 0.13126202807244328, 0.17299046587877343, -0.19148772200397043, -0.034519113355925606, 0.4138450341379661, -0.07397699560452667, -0.15081869411845633, 0.12332363931870341, -0.18791620817986163, -0.16922296505682977, 0.09417857343573871, 0.09066055869011001, 0.09769608049253203, -0.12793488195929517, 0.17169822258608888, 0.007665972662284786, 0.2158126387936293, 0.05650075450884523, 0.051595130702480674, 0.25381269397567613, 0.08001926554982079, 0.03480801937913373, 0.048463509043672894, -0.09890416640799815, -0.013896526221220416, -0.35477057609485785, -0.14326755129617214, -0.13856186365915668, 0.16155652142342547, -0.16205842295896195, -0.14525600417425863, 0.34262414149549086, 0.14150284999274768, 0.17240244608062008, 0.05285943058652826, 0.2891666656934921, 0.11726270481817608, 0.029357803364594776, 0.07211121497388331, 0.299662126728368, 0.12849529458922737, 0.084020200320577, -0.18314222409102468, -0.009914773924529184, 0.03300944920399307] |
710.5189 | Hadronic Physics | A selection of studies highlighting different manifestations of the strong
interaction are presented. Many new results have become available this summer
in the regimes of discovery, systematic survey, and precision measurements of
bound quark states.
| hep-ex | a selection of studies highlighting different manifestations of the strong interaction are presented many new results have become available this summer in the regimes of discovery systematic survey and precision measurements of bound quark states | [['a', 'selection', 'of', 'studies', 'highlighting', 'different', 'manifestations', 'of', 'the', 'strong', 'interaction', 'are', 'presented', 'many', 'new', 'results', 'have', 'become', 'available', 'this', 'summer', 'in', 'the', 'regimes', 'of', 'discovery', 'systematic', 'survey', 'and', 'precision', 'measurements', 'of', 'bound', 'quark', 'states']] | [-0.1651462007313967, 0.16991053906136325, -0.10362357284341539, 0.049213475078743484, -0.06630466862448624, -0.11852083019912243, 0.06678234482450145, 0.30754894954817635, -0.19094653140221324, -0.3522114878254277, 0.12022926997326847, -0.31332903557590075, -0.07344159209834678, 0.23563488064599888, 0.013407855720392296, 0.03552557397633791, 0.15059313560569926, -0.046790336005921876, -0.05521279858159167, -0.2653680533370269, 0.27784972318581175, 0.0692149537482432, 0.31079200272049223, 0.11204087585210801, 0.013007001505632486, -0.02796163908871157, -0.12832766976207494, 0.00399005902665002, -0.1745863071243678, 0.10762871193001047, 0.2742268134906356, 0.10945237997387136, 0.2862007903999516, -0.3607593798211643, -0.2036202429727252, 0.048639548915837494, 0.12378841803542205, 0.15327130667865277, -0.1266172361959304, -0.31335283871740105, 0.011973622680774757, -0.17612273135704787, -0.1127404097467661, -0.10234333758375475, 0.008213003871164151, 0.03798149244061538, -0.21821748539805413, 0.07118349904859704, 0.025914135149547032, 0.14570791300918376, -0.04208533243675317, -0.22461575523151883, 0.021804798860102892, 0.15831866167219621, 0.0791473473023091, -0.009297744025077138, 0.08083764532847064, -0.21751117266581527, -0.15027472962226188, 0.3509919297216194, -0.04097619626138892, -0.08125770702692015, 0.2604674480855465, -0.19300024695694445, -0.22596750199528678, 0.08600049676440125, 0.24024555776268244, 0.12153484027367085, -0.19331378896853754, 0.03590371999723305, -0.02824286020227841, 0.10586508162585752, 0.019693306660545723, 0.1489846858994237, 0.2287734328103917, 0.21491936056741645, -0.0023445782866994185, 0.08783118028326758, -0.11924754297360778, -0.10652467480727605, -0.34045516614403043, -0.08086412564485466, -0.11691494627988765, -0.042256845414106334, -0.03130527477935954, -0.10199302126254355, 0.42054143844704545, 0.15696492030152254, 0.20212449032946356, -0.042514692832316674, 0.25515696475548405, 0.06933329610619694, 0.06893065750066724, 0.010704950988292694, 0.35055098811696683, 0.14749075850205762, 0.0753703802291836, -0.18531355032963412, 0.07188278940905418, -0.022051077775124994] |
710.519 | Identifying statistical dependence in genomic sequences via mutual
information estimates | Questions of understanding and quantifying the representation and amount of
information in organisms have become a central part of biological research, as
they potentially hold the key to fundamental advances. In this paper, we
demonstrate the use of information-theoretic tools for the task of identifying
segments of biomolecules (DNA or RNA) that are statistically correlated. We
develop a precise and reliable methodology, based on the notion of mutual
information, for finding and extracting statistical as well as structural
dependencies. A simple threshold function is defined, and its use in
quantifying the level of significance of dependencies between biological
segments is explored. These tools are used in two specific applications. First,
for the identification of correlations between different parts of the maize
zmSRp32 gene. There, we find significant dependencies between the 5'
untranslated region in zmSRp32 and its alternatively spliced exons. This
observation may indicate the presence of as-yet unknown alternative splicing
mechanisms or structural scaffolds. Second, using data from the FBI's Combined
DNA Index System (CODIS), we demonstrate that our approach is particularly well
suited for the problem of discovering short tandem repeats, an application of
importance in genetic profiling.
| q-bio.GN cs.IT math.IT | questions of understanding and quantifying the representation and amount of information in organisms have become a central part of biological research as they potentially hold the key to fundamental advances in this paper we demonstrate the use of informationtheoretic tools for the task of identifying segments of biomolecules dna or rna that are statistically correlated we develop a precise and reliable methodology based on the notion of mutual information for finding and extracting statistical as well as structural dependencies a simple threshold function is defined and its use in quantifying the level of significance of dependencies between biological segments is explored these tools are used in two specific applications first for the identification of correlations between different parts of the maize zmsrp32 gene there we find significant dependencies between the 5 untranslated region in zmsrp32 and its alternatively spliced exons this observation may indicate the presence of asyet unknown alternative splicing mechanisms or structural scaffolds second using data from the fbis combined dna index system codis we demonstrate that our approach is particularly well suited for the problem of discovering short tandem repeats an application of importance in genetic profiling | [['questions', 'of', 'understanding', 'and', 'quantifying', 'the', 'representation', 'and', 'amount', 'of', 'information', 'in', 'organisms', 'have', 'become', 'a', 'central', 'part', 'of', 'biological', 'research', 'as', 'they', 'potentially', 'hold', 'the', 'key', 'to', 'fundamental', 'advances', 'in', 'this', 'paper', 'we', 'demonstrate', 'the', 'use', 'of', 'informationtheoretic', 'tools', 'for', 'the', 'task', 'of', 'identifying', 'segments', 'of', 'biomolecules', 'dna', 'or', 'rna', 'that', 'are', 'statistically', 'correlated', 'we', 'develop', 'a', 'precise', 'and', 'reliable', 'methodology', 'based', 'on', 'the', 'notion', 'of', 'mutual', 'information', 'for', 'finding', 'and', 'extracting', 'statistical', 'as', 'well', 'as', 'structural', 'dependencies', 'a', 'simple', 'threshold', 'function', 'is', 'defined', 'and', 'its', 'use', 'in', 'quantifying', 'the', 'level', 'of', 'significance', 'of', 'dependencies', 'between', 'biological', 'segments', 'is', 'explored', 'these', 'tools', 'are', 'used', 'in', 'two', 'specific', 'applications', 'first', 'for', 'the', 'identification', 'of', 'correlations', 'between', 'different', 'parts', 'of', 'the', 'maize', 'zmsrp32', 'gene', 'there', 'we', 'find', 'significant', 'dependencies', 'between', 'the', '5', 'untranslated', 'region', 'in', 'zmsrp32', 'and', 'its', 'alternatively', 'spliced', 'exons', 'this', 'observation', 'may', 'indicate', 'the', 'presence', 'of', 'asyet', 'unknown', 'alternative', 'splicing', 'mechanisms', 'or', 'structural', 'scaffolds', 'second', 'using', 'data', 'from', 'the', 'fbis', 'combined', 'dna', 'index', 'system', 'codis', 'we', 'demonstrate', 'that', 'our', 'approach', 'is', 'particularly', 'well', 'suited', 'for', 'the', 'problem', 'of', 'discovering', 'short', 'tandem', 'repeats', 'an', 'application', 'of', 'importance', 'in', 'genetic', 'profiling']] | [-0.10373936792924762, 0.07286362858321034, -0.05856880558248451, 0.11104850225835454, -0.055146314783338854, -0.11062064959588362, 0.06102586608749141, 0.37947237941416656, -0.28611264847209084, -0.33163395063812906, 0.07740353769251204, -0.265982617847027, -0.2131098851095885, 0.22091493737125928, -0.07370100217574757, 0.04087178225064293, 0.0724769864612794, 0.03277639216778087, 0.008077486457199136, -0.17958574008662254, 0.2914814343112471, 0.06446507055946488, 0.2827740299931549, 0.07480820167334155, 0.09148978722898507, 0.0212254087710654, -0.09412119813025632, -0.001985075264336898, -0.12526436366347976, 0.21591474076403563, 0.31447973954129066, 0.19474825626821257, 0.29719371483364004, -0.4183054526950768, -0.21891083253022442, 0.1056087558966457, 0.16584906288165044, 0.1289985297579675, -0.07252564884015071, -0.23413249614470183, 0.08407624392334292, -0.12652369085550705, -0.06447543886965736, -0.08457909060761015, 0.03499919888216685, 0.037547420358602354, -0.22022029227871903, 0.10126067200883668, 0.06033347443642808, 0.12958378973912368, -0.04549741008358591, -0.12493145379096646, 0.007975298175687326, 0.23029896156971363, 0.05423204424825715, -0.0075510123977128, 0.15280128453741781, -0.13594826123370055, -0.12702615817444043, 0.350539484131893, -0.008898037378032237, -0.18643453959474696, 0.21507231152072756, -0.08518254349721556, -0.19365776408255655, 0.07975300740787482, 0.16917913719922542, 0.11226213920584067, -0.18807938309297204, 0.01377166120863044, 0.019868820335993423, 0.19183102481443673, 0.08169311172566673, 0.05768152504683809, 0.24221457221837556, 0.21932476675236953, 0.01724601737743719, 0.14758448876648586, -0.10780572494556334, -0.0775121079653779, -0.2472005691775616, -0.16984419851158894, -0.15275074429859586, -0.01013962811718576, -0.0860922788537635, -0.1737997979594474, 0.38303498478923387, 0.1573806300635005, 0.2043068193133296, 0.03550242797838167, 0.27436506133984795, 0.03127651473636085, 0.0763287205977286, 0.007928680574974699, 0.1755583919683828, 0.09330755070550367, 0.05582005666826475, -0.20434470357948623, 0.16012891421238198, -0.004649631781850327] |
710.5191 | A Simple Explanation for the X(3872) Mass Shift Observed for Decay to
D^{*0} {D^0}bar | We propose a simple explanation for the increase of approximately
3 MeV/c^2 in the mass value of the X(3872) obtained from
D^{*0} {D^0}bar decay relative to that obtained from decay to J/psi pi+ pi-.
If the total width of the X(3872) is 2-3 MeV, the peak position in the
D^{*0} {D^0}bar invariant mass distribution is sensitive to the final state
orbital angular momentum because of the proximity of the X(3872) to D^{*0}
{D^0}bar threshold. We show that for total width 3 MeV and one unit of orbital
angular momentum, a mass shift ~3 MeV/c^2 is obtained; experimental mass
resolution should slightly increase this value. A consequence is that
spin-parity 2^- is favored for the X(3872).
| hep-ex | we propose a simple explanation for the increase of approximately 3 mevc2 in the mass value of the x3872 obtained from d0 d0bar decay relative to that obtained from decay to jpsi pi pi if the total width of the x3872 is 23 mev the peak position in the d0 d0bar invariant mass distribution is sensitive to the final state orbital angular momentum because of the proximity of the x3872 to d0 d0bar threshold we show that for total width 3 mev and one unit of orbital angular momentum a mass shift 3 mevc2 is obtained experimental mass resolution should slightly increase this value a consequence is that spinparity 2 is favored for the x3872 | [['we', 'propose', 'a', 'simple', 'explanation', 'for', 'the', 'increase', 'of', 'approximately', '3', 'mevc2', 'in', 'the', 'mass', 'value', 'of', 'the', 'x3872', 'obtained', 'from', 'd0', 'd0bar', 'decay', 'relative', 'to', 'that', 'obtained', 'from', 'decay', 'to', 'jpsi', 'pi', 'pi', 'if', 'the', 'total', 'width', 'of', 'the', 'x3872', 'is', '23', 'mev', 'the', 'peak', 'position', 'in', 'the', 'd0', 'd0bar', 'invariant', 'mass', 'distribution', 'is', 'sensitive', 'to', 'the', 'final', 'state', 'orbital', 'angular', 'momentum', 'because', 'of', 'the', 'proximity', 'of', 'the', 'x3872', 'to', 'd0', 'd0bar', 'threshold', 'we', 'show', 'that', 'for', 'total', 'width', '3', 'mev', 'and', 'one', 'unit', 'of', 'orbital', 'angular', 'momentum', 'a', 'mass', 'shift', '3', 'mevc2', 'is', 'obtained', 'experimental', 'mass', 'resolution', 'should', 'slightly', 'increase', 'this', 'value', 'a', 'consequence', 'is', 'that', 'spinparity', '2', 'is', 'favored', 'for', 'the', 'x3872']] | [-0.11362031647459725, 0.22974805349190516, -0.07433148066958656, 0.1284806167372786, -0.05855261337508083, -0.10187277005904395, 0.10947059219419632, 0.31691949085696886, -0.20297239170328754, -0.3078858864291207, -0.06304119099538935, -0.31318811921645767, 0.04737589254003504, 0.10975126586854458, 0.03840518991422394, 0.10484190957377786, 0.1467905024876413, 0.05707842527038377, -0.09146136270896735, -0.14262071091519749, 0.2932313764386851, 0.016421356934892096, 0.1715372721867069, 0.1493297518433436, 0.005741843812005675, -0.004993996773239064, 0.03712792523691188, -0.10960571284041457, -0.20459195712230765, 0.04331938452694727, 0.19587099002269298, 0.10056556019446124, 0.14506371665907944, -0.21848962660069052, -0.01004726020315581, 0.13973540977939317, 0.18391948576368716, 0.06414429486283789, 0.024016331166595867, -0.33089552404278, 0.18047846657345476, -0.18965777055481853, -0.1297384942598317, 0.0036655534463732138, 0.10444879024087086, -0.11279394783929962, -0.30971037997337786, 0.16852098964154721, -0.05075380938885602, 0.032842706783634164, -0.07030795332773224, -0.2974202067712727, -0.08554956607885011, -0.006723614624175041, 0.09698456830911986, 0.14532773783430458, 0.1918446493294576, -0.0730942111239647, -0.1359030053221985, 0.36608188855259316, -0.05155277594762004, -0.17920514638333218, 0.0616632799739423, -0.227617077788581, -0.0774497984463106, 0.23569709666721197, 0.13741466004259723, 0.021718127944547198, -0.11776920389788954, 0.03596313849202883, -0.06990242438066913, 0.29789556362058806, 0.11860791770336421, 0.08918575601976203, 0.19243988859841762, 0.18419389324667662, 0.05028445244483326, 0.03360277045842098, -0.1690645975627653, -0.06359188026222198, -0.34680945329044177, -0.14245102486532668, -0.15243184289125644, 0.15248157436372306, -0.03133875652983197, -0.019664566775621926, 0.37053498906771776, 0.04144727750630725, 0.3480558376273383, 0.020282230356141278, 0.30145348708914677, 0.13499563043208226, 0.05010500247387782, 0.06366332424399646, 0.31492338264765946, 0.22418860367944707, 0.15144493554759283, -0.3197866562753916, 0.045672801946816236, -0.013479623400970645] |
710.5192 | Searching for new thermally emitting isolated neutron stars in the 2XMMp
catalogue - Discovery of a promising candidate | The group of 7 thermally emitting and radio-quiet isolated neutron stars
(INSs) discovered by ROSAT constitutes a nearby population which locally
appears to be as numerous as that of the classical radio pulsars. So far,
attempts to enlarge this particular group of INSs finding more remote objects
failed to confirm any candidate. We found in the 2XMMp catalogue a handful of
sources with no catalogued counterparts and with X-ray spectra similar to those
of the ROSAT discovered INSs, but seen at larger distances and thus undergoing
higher interstellar absorptions. In order to rule out alternative
identifications such as an AGN or a CV, we obtained deep ESO-VLT and SOAR
optical imaging for the X-ray brightest candidates. We report here on the
current status of our search and discuss the possible nature of our candidates.
We focus particularly on the X-ray brightest source of our sample, 2XMM
J104608.7-594306, observed serendipitously over more than four years by the
XMM-Newton Observatory. A lower limit on the X-ray to optical flux ratio of ~
300 together with a stable flux and soft X-ray spectrum make it the most
promising thermally emitting INS candidate. Beyond the finding of new members,
our study aims at constraining the space density of this population at large
distances and at determining whether their apparently high local density is an
anomaly or not.
| astro-ph | the group of 7 thermally emitting and radioquiet isolated neutron stars inss discovered by rosat constitutes a nearby population which locally appears to be as numerous as that of the classical radio pulsars so far attempts to enlarge this particular group of inss finding more remote objects failed to confirm any candidate we found in the 2xmmp catalogue a handful of sources with no catalogued counterparts and with xray spectra similar to those of the rosat discovered inss but seen at larger distances and thus undergoing higher interstellar absorptions in order to rule out alternative identifications such as an agn or a cv we obtained deep esovlt and soar optical imaging for the xray brightest candidates we report here on the current status of our search and discuss the possible nature of our candidates we focus particularly on the xray brightest source of our sample 2xmm j1046087594306 observed serendipitously over more than four years by the xmmnewton observatory a lower limit on the xray to optical flux ratio of 300 together with a stable flux and soft xray spectrum make it the most promising thermally emitting ins candidate beyond the finding of new members our study aims at constraining the space density of this population at large distances and at determining whether their apparently high local density is an anomaly or not | [['the', 'group', 'of', '7', 'thermally', 'emitting', 'and', 'radioquiet', 'isolated', 'neutron', 'stars', 'inss', 'discovered', 'by', 'rosat', 'constitutes', 'a', 'nearby', 'population', 'which', 'locally', 'appears', 'to', 'be', 'as', 'numerous', 'as', 'that', 'of', 'the', 'classical', 'radio', 'pulsars', 'so', 'far', 'attempts', 'to', 'enlarge', 'this', 'particular', 'group', 'of', 'inss', 'finding', 'more', 'remote', 'objects', 'failed', 'to', 'confirm', 'any', 'candidate', 'we', 'found', 'in', 'the', '2xmmp', 'catalogue', 'a', 'handful', 'of', 'sources', 'with', 'no', 'catalogued', 'counterparts', 'and', 'with', 'xray', 'spectra', 'similar', 'to', 'those', 'of', 'the', 'rosat', 'discovered', 'inss', 'but', 'seen', 'at', 'larger', 'distances', 'and', 'thus', 'undergoing', 'higher', 'interstellar', 'absorptions', 'in', 'order', 'to', 'rule', 'out', 'alternative', 'identifications', 'such', 'as', 'an', 'agn', 'or', 'a', 'cv', 'we', 'obtained', 'deep', 'esovlt', 'and', 'soar', 'optical', 'imaging', 'for', 'the', 'xray', 'brightest', 'candidates', 'we', 'report', 'here', 'on', 'the', 'current', 'status', 'of', 'our', 'search', 'and', 'discuss', 'the', 'possible', 'nature', 'of', 'our', 'candidates', 'we', 'focus', 'particularly', 'on', 'the', 'xray', 'brightest', 'source', 'of', 'our', 'sample', '2xmm', 'j1046087594306', 'observed', 'serendipitously', 'over', 'more', 'than', 'four', 'years', 'by', 'the', 'xmmnewton', 'observatory', 'a', 'lower', 'limit', 'on', 'the', 'xray', 'to', 'optical', 'flux', 'ratio', 'of', '300', 'together', 'with', 'a', 'stable', 'flux', 'and', 'soft', 'xray', 'spectrum', 'make', 'it', 'the', 'most', 'promising', 'thermally', 'emitting', 'ins', 'candidate', 'beyond', 'the', 'finding', 'of', 'new', 'members', 'our', 'study', 'aims', 'at', 'constraining', 'the', 'space', 'density', 'of', 'this', 'population', 'at', 'large', 'distances', 'and', 'at', 'determining', 'whether', 'their', 'apparently', 'high', 'local', 'density', 'is', 'an', 'anomaly', 'or', 'not']] | [-0.06831324739415232, 0.09240463490271207, -0.06530744448668105, 0.09211701748138587, -0.14118250612135944, -0.08597615499443768, 0.12811986270553624, 0.4220364892033038, -0.1671871280046977, -0.383278041651162, 0.09164994958995816, -0.3505316794795395, -0.046585562487913144, 0.24186784926558602, -0.0036020450260456616, -0.025467603951419896, 0.0395757438535355, -0.015982404112111073, -0.031213809106014418, -0.26317232590732964, 0.2739299940383733, 0.11101484950304111, 0.20198323746706853, -0.05985627606246822, 0.06544723209630286, -0.034840996524000224, -0.09674243156814964, -0.011968421621949764, -0.083493781537359, 0.0760683578959255, 0.2768742685900531, 0.08514737331744719, 0.20190844339578673, -0.3493451879731511, -0.2221461813603234, 0.10633852436450554, 0.1799359951752473, 0.031887873702552506, -0.06583336793315735, -0.29287889003302686, 0.0875570960038736, -0.1658135238848207, -0.20074719422798906, 0.01641236277272755, 0.054839637404232214, 0.023911659080358978, -0.1324547330370626, 0.07193385719936257, -0.008184036693057499, 0.06591126632138349, -0.13871664823838384, -0.11388617555342347, -0.020349927387108002, 0.07418274173831886, 0.017341168371064856, 0.05615817485398168, 0.11790581308053555, -0.1732214248030203, -0.11211382434913167, 0.37622697752069784, -0.02732772646118679, 0.03572261696385098, 0.2551485237818597, -0.20201918761128443, -0.22659894200209696, 0.16165394321721685, 0.1066579974973826, 0.17880189563630167, -0.1909868662016936, -0.030805222973015647, -0.05154805010088157, 0.2146586014696204, 0.028607951542194764, 0.11468755660803048, 0.3075107929880441, 0.1381855432656258, 0.04025252186063979, 0.14988117241080398, -0.2592125810391211, 0.011520776216744084, -0.244696553306222, -0.08811964690664296, -0.14407137740321607, 0.1056140839025354, -0.05039138243244468, -0.13994114055074877, 0.33730891840070953, 0.11992566949800118, 0.1701901261023506, 0.006815644244868979, 0.28294909949810876, 0.06426192191481876, 0.11482575318164104, 0.12157953640882362, 0.33800672639060664, 0.135561119975325, 0.0759191990443002, -0.1951907722054989, 0.05526759419044866, -0.022140539170511335] |
710.5193 | Electron Transport Driven by Nonequilibrium Magnetic Textures | Spin-polarized electron transport driven by inhomogeneous magnetic dynamics
is discussed in the limit of a large exchange coupling. Electron spins rigidly
following the time-dependent magnetic profile experience spin-dependent
fictitious electric and magnetic fields. We show that the electric field
acquires important corrections due to spin dephasing, when one relaxes the
spin-projection approximation. Furthermore, spin-flip scattering between the
spin bands needs to be taken into account in order to calculate voltages and
spin accumulations induced by the magnetic dynamics. A phenomenological
approach based on the Onsager reciprocity principle is developed, which allows
us to capture the effect of spin dephasing and make a connection to the well
studied problem of current-driven magnetic dynamics. A number of results that
recently appeared in the literature are related and generalized.
| cond-mat.mes-hall | spinpolarized electron transport driven by inhomogeneous magnetic dynamics is discussed in the limit of a large exchange coupling electron spins rigidly following the timedependent magnetic profile experience spindependent fictitious electric and magnetic fields we show that the electric field acquires important corrections due to spin dephasing when one relaxes the spinprojection approximation furthermore spinflip scattering between the spin bands needs to be taken into account in order to calculate voltages and spin accumulations induced by the magnetic dynamics a phenomenological approach based on the onsager reciprocity principle is developed which allows us to capture the effect of spin dephasing and make a connection to the well studied problem of currentdriven magnetic dynamics a number of results that recently appeared in the literature are related and generalized | [['spinpolarized', 'electron', 'transport', 'driven', 'by', 'inhomogeneous', 'magnetic', 'dynamics', 'is', 'discussed', 'in', 'the', 'limit', 'of', 'a', 'large', 'exchange', 'coupling', 'electron', 'spins', 'rigidly', 'following', 'the', 'timedependent', 'magnetic', 'profile', 'experience', 'spindependent', 'fictitious', 'electric', 'and', 'magnetic', 'fields', 'we', 'show', 'that', 'the', 'electric', 'field', 'acquires', 'important', 'corrections', 'due', 'to', 'spin', 'dephasing', 'when', 'one', 'relaxes', 'the', 'spinprojection', 'approximation', 'furthermore', 'spinflip', 'scattering', 'between', 'the', 'spin', 'bands', 'needs', 'to', 'be', 'taken', 'into', 'account', 'in', 'order', 'to', 'calculate', 'voltages', 'and', 'spin', 'accumulations', 'induced', 'by', 'the', 'magnetic', 'dynamics', 'a', 'phenomenological', 'approach', 'based', 'on', 'the', 'onsager', 'reciprocity', 'principle', 'is', 'developed', 'which', 'allows', 'us', 'to', 'capture', 'the', 'effect', 'of', 'spin', 'dephasing', 'and', 'make', 'a', 'connection', 'to', 'the', 'well', 'studied', 'problem', 'of', 'currentdriven', 'magnetic', 'dynamics', 'a', 'number', 'of', 'results', 'that', 'recently', 'appeared', 'in', 'the', 'literature', 'are', 'related', 'and', 'generalized']] | [-0.17155492130578273, 0.21141912244973585, -0.04562834122528633, 0.09280701486268154, -0.07955346913594338, -0.119944305166543, 0.00913828703767014, 0.3560643101310624, -0.2752543414078121, -0.3125028803051608, -0.009166219019486258, -0.2489603214754237, -0.11420362396904873, 0.19118859221981394, 0.05099302348089478, -0.010848267074112617, -0.026446212389846405, -0.001343033845639891, -0.05090637157563978, -0.18284497891427093, 0.2919901617771959, 0.024950614375513165, 0.31331226803613677, 0.12838072558155372, 0.08900013946307202, 0.07310315123241809, 0.049117284002787774, 0.061847242009308606, -0.11625838273314348, 0.05433811366073935, 0.18382701195687765, -0.074904745396611, 0.20924726449367073, -0.5277080732501216, -0.18951253108088933, 0.02366652701508313, 0.1175811493784071, 0.18519374804242353, -0.04806790091854978, -0.28579540027209394, -0.011001632164513308, -0.1805999367571776, -0.14033538282346275, -0.12494545660835381, 0.02733736359311031, 0.017119673834670158, -0.3179069352631886, 0.09447340372698529, 0.0949119087567346, 0.0010570534209292087, -0.09743001876493163, -0.05373716496285938, -0.03380687196095962, 0.09232925921830992, 0.11257257423777547, 0.052356536694181464, 0.18452893929474706, -0.10208775555818445, -0.12742628390339042, 0.3432204653582876, -0.07682214423160379, -0.17983593799022307, 0.12079866108251736, -0.19242235715316225, -0.0707241001368929, 0.1442949523339011, 0.15428977384091547, 0.0917821668332354, -0.18030554439656765, 0.08720768381848872, 0.019657696626843916, 0.10383196090096755, 0.028821613594782466, 0.038718983360994906, 0.2561097319925293, 0.14765468159125053, 0.05240289317739625, 0.1318531487929812, -0.14286374632409582, -0.12950756787396375, -0.21602319986633364, -0.09516913467756702, -0.1952154111848878, 0.13048708359784786, -0.019083407407696727, -0.12781766276540502, 0.4018996264637699, 0.19920730688017868, 0.14798502722341153, -0.06116590608883324, 0.30678648358240485, 0.17134617998944743, 0.07854024382559435, 0.05186516060556252, 0.2610705251468711, 0.2671230325774689, 0.1134117147441776, -0.33564151238857043, 0.04659919554574622, 0.030077370321599857] |
710.5194 | Rate-Constrained Wireless Networks with Fading Channels:
Interference-Limited and Noise-Limited Regimes | A network of $n$ wireless communication links is considered in a Rayleigh
fading environment. It is assumed that each link can be active and transmit
with a constant power $P$ or remain silent. The objective is to maximize the
number of active links such that each active link can transmit with a constant
rate $\lambda$. An upper bound is derived that shows the number of active links
scales at most like $\frac{1}{\lambda} \log n$. To obtain a lower bound, a
decentralized link activation strategy is described and analyzed. It is shown
that for small values of $\lambda$, the number of supported links by this
strategy meets the upper bound; however, as $\lambda$ grows, this number
becomes far below the upper bound. To shrink the gap between the upper bound
and the achievability result, a modified link activation strategy is proposed
and analyzed based on some results from random graph theory. It is shown that
this modified strategy performs very close to the optimum. Specifically, this
strategy is \emph{asymptotically almost surely} optimum when $\lambda$
approaches $\infty$ or 0. It turns out the optimality results are obtained in
an interference-limited regime. It is demonstrated that, by proper selection of
the algorithm parameters, the proposed scheme also allows the network to
operate in a noise-limited regime in which the transmission rates can be
adjusted by the transmission powers. The price for this flexibility is a
decrease in the throughput scaling law by a multiplicative factor of $\log \log
n$.
| cs.IT math.IT | a network of n wireless communication links is considered in a rayleigh fading environment it is assumed that each link can be active and transmit with a constant power p or remain silent the objective is to maximize the number of active links such that each active link can transmit with a constant rate lambda an upper bound is derived that shows the number of active links scales at most like frac1lambda log n to obtain a lower bound a decentralized link activation strategy is described and analyzed it is shown that for small values of lambda the number of supported links by this strategy meets the upper bound however as lambda grows this number becomes far below the upper bound to shrink the gap between the upper bound and the achievability result a modified link activation strategy is proposed and analyzed based on some results from random graph theory it is shown that this modified strategy performs very close to the optimum specifically this strategy is emphasymptotically almost surely optimum when lambda approaches infty or 0 it turns out the optimality results are obtained in an interferencelimited regime it is demonstrated that by proper selection of the algorithm parameters the proposed scheme also allows the network to operate in a noiselimited regime in which the transmission rates can be adjusted by the transmission powers the price for this flexibility is a decrease in the throughput scaling law by a multiplicative factor of log log n | [['a', 'network', 'of', 'n', 'wireless', 'communication', 'links', 'is', 'considered', 'in', 'a', 'rayleigh', 'fading', 'environment', 'it', 'is', 'assumed', 'that', 'each', 'link', 'can', 'be', 'active', 'and', 'transmit', 'with', 'a', 'constant', 'power', 'p', 'or', 'remain', 'silent', 'the', 'objective', 'is', 'to', 'maximize', 'the', 'number', 'of', 'active', 'links', 'such', 'that', 'each', 'active', 'link', 'can', 'transmit', 'with', 'a', 'constant', 'rate', 'lambda', 'an', 'upper', 'bound', 'is', 'derived', 'that', 'shows', 'the', 'number', 'of', 'active', 'links', 'scales', 'at', 'most', 'like', 'frac1lambda', 'log', 'n', 'to', 'obtain', 'a', 'lower', 'bound', 'a', 'decentralized', 'link', 'activation', 'strategy', 'is', 'described', 'and', 'analyzed', 'it', 'is', 'shown', 'that', 'for', 'small', 'values', 'of', 'lambda', 'the', 'number', 'of', 'supported', 'links', 'by', 'this', 'strategy', 'meets', 'the', 'upper', 'bound', 'however', 'as', 'lambda', 'grows', 'this', 'number', 'becomes', 'far', 'below', 'the', 'upper', 'bound', 'to', 'shrink', 'the', 'gap', 'between', 'the', 'upper', 'bound', 'and', 'the', 'achievability', 'result', 'a', 'modified', 'link', 'activation', 'strategy', 'is', 'proposed', 'and', 'analyzed', 'based', 'on', 'some', 'results', 'from', 'random', 'graph', 'theory', 'it', 'is', 'shown', 'that', 'this', 'modified', 'strategy', 'performs', 'very', 'close', 'to', 'the', 'optimum', 'specifically', 'this', 'strategy', 'is', 'emphasymptotically', 'almost', 'surely', 'optimum', 'when', 'lambda', 'approaches', 'infty', 'or', '0', 'it', 'turns', 'out', 'the', 'optimality', 'results', 'are', 'obtained', 'in', 'an', 'interferencelimited', 'regime', 'it', 'is', 'demonstrated', 'that', 'by', 'proper', 'selection', 'of', 'the', 'algorithm', 'parameters', 'the', 'proposed', 'scheme', 'also', 'allows', 'the', 'network', 'to', 'operate', 'in', 'a', 'noiselimited', 'regime', 'in', 'which', 'the', 'transmission', 'rates', 'can', 'be', 'adjusted', 'by', 'the', 'transmission', 'powers', 'the', 'price', 'for', 'this', 'flexibility', 'is', 'a', 'decrease', 'in', 'the', 'throughput', 'scaling', 'law', 'by', 'a', 'multiplicative', 'factor', 'of', 'log', 'log', 'n']] | [-0.1999799806929413, 0.11632793360710147, -0.067857018416384, 0.05238131695943771, -0.05071265854100447, -0.23028852686482837, 0.13134362093292223, 0.35759734489947437, -0.26459778054301225, -0.30822235873589915, 0.08518662895180087, -0.2482807511375385, -0.1784878715246204, 0.18744091657146517, -0.060971696696403184, 0.030102596637223585, 0.012100651174995715, 0.09222225756649442, 0.019932010544206555, -0.2797748506873916, 0.263037256500873, 0.12063455692590858, 0.3065148968868548, 0.03335195475984819, 0.060850258615640244, -0.03381171714840078, -0.0047915813624783135, 0.015612722335693737, -0.15206266494889742, 0.06732217888574957, 0.2707533568245116, 0.12790806770676794, 0.29141648181115953, -0.3419938844768709, -0.20227967932956611, 0.11393567212342429, 0.16631475482344232, 0.0473175346165161, 0.010067937590420337, -0.20171006010349354, 0.13432423563719523, -0.16627188902587262, -0.10873416305530997, 0.0004938372668272596, 0.014388541259889953, 0.031421756651536445, -0.34003606760813815, 0.018923502744670497, 0.057369846339541966, -0.025998969751171677, -0.020164175370539637, -0.11784273618642938, 0.004272391270028382, 0.13346194044194218, 0.038177749422323, 0.03982975915248498, 0.11586122392919065, -0.1189086989819534, -0.06004124405312982, 0.3271728484755064, -0.07028030362396645, -0.20745616312194579, 0.1398493436106473, -0.08701973985237016, -0.09270978103603834, 0.17755228308657925, 0.14127970881508362, 0.11067722102867206, -0.11498584808353231, 0.09310308560198177, -0.07255377301404904, 0.19577762344236888, 0.08236091610468257, 0.056264582822644495, 0.11966736828510809, 0.17956281671152882, 0.1578106158829438, 0.13206095070619803, -0.07844520265442827, -0.09076485417715115, -0.2786524753527322, -0.11204484346293375, -0.2403635115493316, 0.05429626303456148, -0.12081837145648557, -0.09191321923536612, 0.29140005351145215, 0.0854830790928194, 0.22197811206143986, 0.13148247066372248, 0.3291839770348061, 0.15625626947380586, 0.043155704036249014, 0.14189419422366814, 0.243852321344936, 0.10642197865370956, 0.06096616289029428, -0.1981413038329191, 0.10180398643137963, 0.04807662938691191] |
710.5195 | MAPK Cascades as Feedback Amplifiers | Interconvertible enzyme cascades, exemplified by the mitogen activated
protein kinase (MAPK) cascade, are a frequent mechanism in signal transduction
pathways. There has been much speculation as to the role of these pathways, and
how their structure is related to their function. A common conclusion is that
the cascades serve to amplify biochemical signals so that a single bound ligand
molecule might produce a multitude of second messengers. Some recent work has
focused on a particular feature present in some MAPK pathways -- a negative
feedback loop which spans the length of the cascade. This is a feature that is
shared by a man-made engineering device, the feedback amplifier. We propose a
novel interpretation: that by wrapping a feedback loop around an amplifier,
these cascades may be acting as biochemical feedback amplifiers which imparts
i) increased robustness with respect to internal perturbations; ii) a linear
graded response over an extended operating range; iii) insulation from external
perturbation, resulting in functional modularization. We also report on the
growing list of experimental evidence which supports a graded response of MAPK
with respect to Epidermal Growth Factor. This evidence supports our hypothesis
that in these circumstances MAPK cascade, may be acting as a feedback
amplifier.
| q-bio.MN q-bio.SC | interconvertible enzyme cascades exemplified by the mitogen activated protein kinase mapk cascade are a frequent mechanism in signal transduction pathways there has been much speculation as to the role of these pathways and how their structure is related to their function a common conclusion is that the cascades serve to amplify biochemical signals so that a single bound ligand molecule might produce a multitude of second messengers some recent work has focused on a particular feature present in some mapk pathways a negative feedback loop which spans the length of the cascade this is a feature that is shared by a manmade engineering device the feedback amplifier we propose a novel interpretation that by wrapping a feedback loop around an amplifier these cascades may be acting as biochemical feedback amplifiers which imparts i increased robustness with respect to internal perturbations ii a linear graded response over an extended operating range iii insulation from external perturbation resulting in functional modularization we also report on the growing list of experimental evidence which supports a graded response of mapk with respect to epidermal growth factor this evidence supports our hypothesis that in these circumstances mapk cascade may be acting as a feedback amplifier | [['interconvertible', 'enzyme', 'cascades', 'exemplified', 'by', 'the', 'mitogen', 'activated', 'protein', 'kinase', 'mapk', 'cascade', 'are', 'a', 'frequent', 'mechanism', 'in', 'signal', 'transduction', 'pathways', 'there', 'has', 'been', 'much', 'speculation', 'as', 'to', 'the', 'role', 'of', 'these', 'pathways', 'and', 'how', 'their', 'structure', 'is', 'related', 'to', 'their', 'function', 'a', 'common', 'conclusion', 'is', 'that', 'the', 'cascades', 'serve', 'to', 'amplify', 'biochemical', 'signals', 'so', 'that', 'a', 'single', 'bound', 'ligand', 'molecule', 'might', 'produce', 'a', 'multitude', 'of', 'second', 'messengers', 'some', 'recent', 'work', 'has', 'focused', 'on', 'a', 'particular', 'feature', 'present', 'in', 'some', 'mapk', 'pathways', 'a', 'negative', 'feedback', 'loop', 'which', 'spans', 'the', 'length', 'of', 'the', 'cascade', 'this', 'is', 'a', 'feature', 'that', 'is', 'shared', 'by', 'a', 'manmade', 'engineering', 'device', 'the', 'feedback', 'amplifier', 'we', 'propose', 'a', 'novel', 'interpretation', 'that', 'by', 'wrapping', 'a', 'feedback', 'loop', 'around', 'an', 'amplifier', 'these', 'cascades', 'may', 'be', 'acting', 'as', 'biochemical', 'feedback', 'amplifiers', 'which', 'imparts', 'i', 'increased', 'robustness', 'with', 'respect', 'to', 'internal', 'perturbations', 'ii', 'a', 'linear', 'graded', 'response', 'over', 'an', 'extended', 'operating', 'range', 'iii', 'insulation', 'from', 'external', 'perturbation', 'resulting', 'in', 'functional', 'modularization', 'we', 'also', 'report', 'on', 'the', 'growing', 'list', 'of', 'experimental', 'evidence', 'which', 'supports', 'a', 'graded', 'response', 'of', 'mapk', 'with', 'respect', 'to', 'epidermal', 'growth', 'factor', 'this', 'evidence', 'supports', 'our', 'hypothesis', 'that', 'in', 'these', 'circumstances', 'mapk', 'cascade', 'may', 'be', 'acting', 'as', 'a', 'feedback', 'amplifier']] | [-0.15743103943386813, 0.17977736461572932, -0.04945659652817994, 0.041081333499168975, -0.10232929450692609, -0.15180149005260318, 0.05849034415790811, 0.3840773861562775, -0.2845238882652484, -0.2689337676152354, 0.062328325021080676, -0.25401061404263603, -0.24893692018114963, 0.20672017980949023, -0.030126306551974267, -0.01419241052120924, 0.050572337996563875, 0.034711962816072625, 0.06496694274363107, -0.14365187010378577, 0.2869969856506214, 0.1344059821916744, 0.28595507741207254, 0.04074360856320709, 0.10246883310377598, -0.07996911214722786, -0.00320173597894609, -0.02552426862705033, -0.0813558489641946, 0.1151988220633939, 0.27466987553540095, 0.13707521748088766, 0.3163051709963474, -0.447159788440913, -0.29113148046541026, 0.09115420514717698, 0.15163807205855848, 0.1423330612812424, -0.10650798040784139, -0.22320241473615168, 0.07793110256548971, -0.20056837424635887, -0.049747007326222954, -0.05121857242193073, 0.017499850165331735, 0.020938105912073297, -0.2786505155489431, 0.03936129541471019, 0.09578162382356822, 0.05853025957636419, -0.052414697976782915, -0.05884726034826599, -0.05700977587024681, 0.11725669540232048, 0.013782299135928043, 0.02480599452799652, 0.23946971737546846, -0.1356488745403476, -0.1600593778048642, 0.30878594335867093, -0.04217262456542812, -0.18924788283649832, 0.20930084657738918, -0.07791149617754854, -0.13604242446948775, 0.17627083057304843, 0.1679967060405761, 0.06006939831422642, -0.14133029070246267, -0.0013345747513812966, -0.008542792342486791, 0.20756763849873094, 0.07558685881318525, 0.04811406418215483, 0.20320769432000815, 0.2160730142716784, 0.032843506371136755, 0.16802853812347165, -0.0317911133664893, -0.07530363767873496, -0.29527943669439993, -0.11871914612798719, -0.0995673454052303, 0.09457594436127692, -0.03436043706948112, -0.18101621486013755, 0.3932363762205932, 0.11154726407025009, 0.21178363328694105, 0.009802014382439666, 0.2706145815947093, 0.08650530876708216, 0.11906437360565178, 0.0032427420001477003, 0.21785006982885535, 0.11944892931322101, 0.07947297300801438, -0.22667859453955316, 0.13549938551674132, 0.009613254769938066] |
710.5196 | Quantitative Calculation of the Spatial Extension of the Kondo Cloud | The internal s-electron polarization in the ground state of a
Friedel-Anderson and a Kondo impurity is calculated. The Wilson basis with
exponentially fine energies close to the Fermi level is used and expressed in
terms of free electron waves with linear energy-momentum dispersion. It is
found that in the singlet state the magnetic moment of the d-electron is
screened by an s-electron cloud. The linear extension of the cloud is inversely
proportional to the Kondo energy. When the singlet state is destroyed the
polarization cloud is absent.
| cond-mat.str-el cond-mat.mes-hall | the internal selectron polarization in the ground state of a friedelanderson and a kondo impurity is calculated the wilson basis with exponentially fine energies close to the fermi level is used and expressed in terms of free electron waves with linear energymomentum dispersion it is found that in the singlet state the magnetic moment of the delectron is screened by an selectron cloud the linear extension of the cloud is inversely proportional to the kondo energy when the singlet state is destroyed the polarization cloud is absent | [['the', 'internal', 'selectron', 'polarization', 'in', 'the', 'ground', 'state', 'of', 'a', 'friedelanderson', 'and', 'a', 'kondo', 'impurity', 'is', 'calculated', 'the', 'wilson', 'basis', 'with', 'exponentially', 'fine', 'energies', 'close', 'to', 'the', 'fermi', 'level', 'is', 'used', 'and', 'expressed', 'in', 'terms', 'of', 'free', 'electron', 'waves', 'with', 'linear', 'energymomentum', 'dispersion', 'it', 'is', 'found', 'that', 'in', 'the', 'singlet', 'state', 'the', 'magnetic', 'moment', 'of', 'the', 'delectron', 'is', 'screened', 'by', 'an', 'selectron', 'cloud', 'the', 'linear', 'extension', 'of', 'the', 'cloud', 'is', 'inversely', 'proportional', 'to', 'the', 'kondo', 'energy', 'when', 'the', 'singlet', 'state', 'is', 'destroyed', 'the', 'polarization', 'cloud', 'is', 'absent']] | [-0.16512591077079034, 0.2494564507781841, -0.017844021042016732, 0.12340204193304967, -0.0033655740406321384, -0.12032393776094434, 0.01318562179924278, 0.3215200067176644, -0.27733764872918354, -0.26530424775234585, 0.006333094787377136, -0.31257774779337577, -0.01966680320857585, 0.1035814259961333, 0.0619216358594211, 0.00924382685287588, -0.008462863361420131, 0.07622919269120214, -0.06689559025743484, -0.21718411301744395, 0.3345448718481194, 0.08839259822264142, 0.27744210432230054, 0.12416094249842324, 0.06134508764264227, 0.002130877045946645, 0.09790393907105786, -0.003231013017096396, -0.041719683031595026, 0.07675923784959247, 0.21932360163793482, -0.029148400086781073, 0.18787030398781443, -0.40836062758689984, -0.1246279467555598, 0.05314689017189988, 0.1211936595239516, 0.12149421866426523, -0.0022104981505237094, -0.30045632476886286, 0.004797018574679206, -0.188505154231499, -0.19209678170817165, -0.06034153347685077, 0.0010536823518060405, -0.040980480440046596, -0.2692378237040649, 0.12366830299597704, -0.025889197409945143, 0.015222184081701026, -0.10860559291837887, -0.13636574898739398, -0.11665609140677013, 0.03090968700667747, 0.08120808936923143, 0.09789884404243163, 0.14905122814207583, -0.1509431580994171, -0.054026084197363974, 0.41514520565497465, -0.11744422592415378, -0.15618453927380943, 0.13810513276692438, -0.18096857835356703, -0.026413948334025585, 0.1761450791699195, 0.06533454457597657, 0.07618592948727738, -0.13252389421181396, 0.14972612339783803, -0.05205905868875227, 0.19729361570327833, 0.003807691707350742, 0.057276934599396825, 0.252083994161161, 0.14221135596209472, 0.07354112119338978, 0.15795299941780924, -0.12475271222192323, -0.12567346144852967, -0.26456085172877913, -0.1477656458429564, -0.25544738858381566, 0.03300645905707417, -0.038324548209543695, -0.1783588166808945, 0.413860909503633, 0.09352477971764131, 0.180107020066473, -0.05080880915837084, 0.28037519059304533, 0.20028071699599767, 0.10097177037112844, 0.09674556049566459, 0.2530796512501079, 0.1539941488888286, 0.08910273582254398, -0.3451074871298825, 0.07554211996324446, 0.04727492936426538] |
710.5197 | Search for the second forbidden beta decay of 8B to the ground state of
8Be | A significant decay branch of 8B to the ground state of 8Be would extend the
solar neutrino spectrum to higher energies than anticipated in the standard
solar models. These high-energy neutrinos would affect current neutrino
oscillation results and also would be a background to measurements of the hep
process. We have measured the delayed alpha particles from the decay of 8B,
with the goal of observing the two 46-keV alpha particles arising from the
ground-state decay. The 8B was produced using an in-flight radioactive beam
technique. It was implanted in a silicon PIN-diode detector that was capable of
identifying the alpha-particles from the 8Be ground state. From this
measurement we find an upper limit (at 90% confidence level) of 7.3 x 10^{-5}
for the branching ratio to the ground state. In addition to describing this
measurement, we present a theoretical calculation for this branching ratio.
| nucl-ex | a significant decay branch of 8b to the ground state of 8be would extend the solar neutrino spectrum to higher energies than anticipated in the standard solar models these highenergy neutrinos would affect current neutrino oscillation results and also would be a background to measurements of the hep process we have measured the delayed alpha particles from the decay of 8b with the goal of observing the two 46kev alpha particles arising from the groundstate decay the 8b was produced using an inflight radioactive beam technique it was implanted in a silicon pindiode detector that was capable of identifying the alphaparticles from the 8be ground state from this measurement we find an upper limit at 90 confidence level of 73 x 105 for the branching ratio to the ground state in addition to describing this measurement we present a theoretical calculation for this branching ratio | [['a', 'significant', 'decay', 'branch', 'of', '8b', 'to', 'the', 'ground', 'state', 'of', '8be', 'would', 'extend', 'the', 'solar', 'neutrino', 'spectrum', 'to', 'higher', 'energies', 'than', 'anticipated', 'in', 'the', 'standard', 'solar', 'models', 'these', 'highenergy', 'neutrinos', 'would', 'affect', 'current', 'neutrino', 'oscillation', 'results', 'and', 'also', 'would', 'be', 'a', 'background', 'to', 'measurements', 'of', 'the', 'hep', 'process', 'we', 'have', 'measured', 'the', 'delayed', 'alpha', 'particles', 'from', 'the', 'decay', 'of', '8b', 'with', 'the', 'goal', 'of', 'observing', 'the', 'two', '46kev', 'alpha', 'particles', 'arising', 'from', 'the', 'groundstate', 'decay', 'the', '8b', 'was', 'produced', 'using', 'an', 'inflight', 'radioactive', 'beam', 'technique', 'it', 'was', 'implanted', 'in', 'a', 'silicon', 'pindiode', 'detector', 'that', 'was', 'capable', 'of', 'identifying', 'the', 'alphaparticles', 'from', 'the', '8be', 'ground', 'state', 'from', 'this', 'measurement', 'we', 'find', 'an', 'upper', 'limit', 'at', '90', 'confidence', 'level', 'of', '73', 'x', '105', 'for', 'the', 'branching', 'ratio', 'to', 'the', 'ground', 'state', 'in', 'addition', 'to', 'describing', 'this', 'measurement', 'we', 'present', 'a', 'theoretical', 'calculation', 'for', 'this', 'branching', 'ratio']] | [-0.045745828655419936, 0.23954183807905666, -0.04827660976042008, 0.10427784098214159, 0.029017801435086234, -0.07672693318655265, 0.09021911618685158, 0.3142920163620649, -0.19182012799027343, -0.3407749904496274, 0.01769281175742247, -0.3454883303364803, 0.02413945136399105, 0.18943329461657538, 0.036695401444388875, 0.06651677967787817, 0.11811344409040336, 0.04266125529940272, -0.05619673204993637, -0.1606326894963096, 0.2347589075886484, 0.16577373375987697, 0.24892987048189189, 0.04581853657768204, 0.06634332530264711, -0.04446522804812111, 0.0028538550410805077, -0.09044531195199695, -0.1258504863686414, 0.08092400943539266, 0.20175618796465328, 0.13908728231547465, 0.1341108646101804, -0.3989014701211247, -0.13952497225415347, 0.17312340245036215, 0.16079570521873518, 0.11373900037001947, -0.04392850824214261, -0.3374869131451023, 0.07143070307271233, -0.195743547495583, -0.13594225218583797, 0.009013617608760452, -0.012948356514218553, -0.02810027785599232, -0.27554972490359997, 0.05154751740729212, -0.014060488278608256, -0.0004642843907088812, -0.1079326684426131, -0.1997979321613394, 0.010598805977095819, 0.10131946443098372, 0.09114742304082028, 0.011127473055264623, 0.18189378950166804, -0.11895745295934892, -0.09387341872307248, 0.35914927324087453, -0.08581709322120175, -0.10683054341452902, 0.1385502668258188, -0.2156846286728978, -0.1549270483922085, 0.23303800082669177, 0.16595078587114553, 0.07981223554575238, -0.1736922594879208, 0.03895230811562967, -0.015965658284980675, 0.20913356610349026, 0.05246868308248191, 0.02503650667595452, 0.20170004753524373, 0.22804315703487474, 0.04785928752690811, 0.07309473317501874, -0.20165209504936277, -0.019334590312992703, -0.3079546852615373, -0.14744261780689502, -0.10952970279011362, 0.12120727876056757, -0.011565718073939808, -0.11075459216111179, 0.39437138300774427, 0.11753434644177042, 0.18266268470164004, -0.006839203725344148, 0.27591254923589015, 0.11718856102289182, 0.018295485482968648, 0.010627725894627129, 0.37551221749584734, 0.15273636667828622, 0.1174056034727857, -0.23920933251622423, 0.07549118349200179, 0.014141030156792238] |
710.5198 | Strings Inside Walls in N=1 Super Yang-Mills | We conjecture the existence of strings bounded inside walls in SU$(n)$ $\N=1$
Super Yang-Mills theory. These strings carry $\Z_{[k,n]}$ quantum number, where
$[k,n]$ is the greatest common divisor between $k$, the charge of the wall, and
$n$. We provide field-theoretical arguments and string-theoretical evidences,
both from MQCD and from gauge-gravity correspondence. We interpret this result
from the point of view of the low-energy effective action living on the
$k$-wall.
| hep-th | we conjecture the existence of strings bounded inside walls in sun n1 super yangmills theory these strings carry z_kn quantum number where kn is the greatest common divisor between k the charge of the wall and n we provide fieldtheoretical arguments and stringtheoretical evidences both from mqcd and from gaugegravity correspondence we interpret this result from the point of view of the lowenergy effective action living on the kwall | [['we', 'conjecture', 'the', 'existence', 'of', 'strings', 'bounded', 'inside', 'walls', 'in', 'sun', 'n1', 'super', 'yangmills', 'theory', 'these', 'strings', 'carry', 'z_kn', 'quantum', 'number', 'where', 'kn', 'is', 'the', 'greatest', 'common', 'divisor', 'between', 'k', 'the', 'charge', 'of', 'the', 'wall', 'and', 'n', 'we', 'provide', 'fieldtheoretical', 'arguments', 'and', 'stringtheoretical', 'evidences', 'both', 'from', 'mqcd', 'and', 'from', 'gaugegravity', 'correspondence', 'we', 'interpret', 'this', 'result', 'from', 'the', 'point', 'of', 'view', 'of', 'the', 'lowenergy', 'effective', 'action', 'living', 'on', 'the', 'kwall']] | [-0.15739800555435807, 0.1788957330695205, -0.1199408857806913, 0.07043017140603151, -0.042874476150272116, -0.12063660151392654, 0.0865867443372617, 0.2780328869711662, -0.21949458243730274, -0.2625338497396181, 0.048292162671239806, -0.3153721220433658, -0.17432846632057233, 0.10424995855630739, -0.030841469305796898, -0.017492916249413636, -0.026654270005182945, 0.10895166458077796, -0.057109546226759754, -0.20250652946423794, 0.3038043208433774, -0.047254109443030386, 0.2522552019606034, 0.1186063004306693, 0.02944044771509758, 0.011732744248718887, -0.018216584789721917, -0.0005168836239887321, -0.1623095424602861, 0.13777599742879038, 0.2608994855343, 0.12677304356939334, 0.14155074758995054, -0.503167451750757, -0.18077078093504667, 0.0966639743267518, 0.1477707237329172, 0.1229648237939978, -0.02383207500932495, -0.24742745674903627, 0.10333482958916304, -0.1240996149490061, -0.18755697163388782, -0.01148561707974506, 0.02515793448665004, -0.05299952848935905, -0.19649970985652096, 0.051971397633863395, 0.06195011984496175, 0.10523882928047923, -0.04395836656423879, -0.09215800564709133, -0.032480759498919695, 0.1060898147550398, 0.11971415215900735, 0.08764683843279879, 0.09027068486329222, -0.17920470547835357, -0.1134770252417935, 0.32832656255450804, -0.045219117714821, -0.16829946769428425, 0.19546875578985698, -0.15677813813765196, -0.1275061984492493, 0.09483532751471722, 0.08101050073510387, 0.1852991360820074, -0.051267526179983994, 0.20839369912257255, -0.11725215377637009, 0.10476031256679351, 0.13996039337708036, 0.048770446345493525, 0.28406025865283946, 0.10387173757139269, 0.008711689664725807, 0.12442808935040797, -0.06293920917180029, -0.12538946833650488, -0.4044821724511575, -0.12008279542762625, -0.16923461435362697, 0.13626518849269958, -0.15173202915647763, -0.13805537980616742, 0.28276214332900185, 0.1474458986380394, 0.1897237126958435, 0.047813687190089535, 0.19539604632966762, 0.051040157007620386, 0.006290448478598526, 0.0747961838648695, 0.18055759759390375, 0.17962394396949938, 0.044510174988080624, -0.24391874365940475, -0.13676123683462324, 0.19687952856475022] |
710.5199 | Coherent manipulation of electron spins up to ambient temperatures in
Cr$^{5+}$(S=1/2) doped K$_3$NbO$_8$ | We report coherent spin manipulation on Cr$^{5+}$ (\emph{S} = 1/2, \emph{I} =
0) doped K$_3$NbO$_8$, which constitutes a dilute two-level model relevant for
use as a spin qubit. Rabi oscillations are observed for the first time in a
spin system based on transition metal oxides up to room temperature. At liquid
helium temperature the phase coherence relaxation time \emph{$T_2$} reaches
$\sim 10$ $\mu$s and, with a Rabi frequency of 20 MHz, yields a single qubit
figure of merit \emph{$Q_M$} of about 500. This shows that a diluted ensemble
of Cr$^{5+}$ (\emph{S} = 1/2) doped K$_3$NbO$_8$ is a potential candidate for
solid-state quantum information processing.
| cond-mat.mes-hall cond-mat.mtrl-sci | we report coherent spin manipulation on cr5 emphs 12 emphi 0 doped k_3nbo_8 which constitutes a dilute twolevel model relevant for use as a spin qubit rabi oscillations are observed for the first time in a spin system based on transition metal oxides up to room temperature at liquid helium temperature the phase coherence relaxation time empht_2 reaches sim 10 mus and with a rabi frequency of 20 mhz yields a single qubit figure of merit emphq_m of about 500 this shows that a diluted ensemble of cr5 emphs 12 doped k_3nbo_8 is a potential candidate for solidstate quantum information processing | [['we', 'report', 'coherent', 'spin', 'manipulation', 'on', 'cr5', 'emphs', '12', 'emphi', '0', 'doped', 'k_3nbo_8', 'which', 'constitutes', 'a', 'dilute', 'twolevel', 'model', 'relevant', 'for', 'use', 'as', 'a', 'spin', 'qubit', 'rabi', 'oscillations', 'are', 'observed', 'for', 'the', 'first', 'time', 'in', 'a', 'spin', 'system', 'based', 'on', 'transition', 'metal', 'oxides', 'up', 'to', 'room', 'temperature', 'at', 'liquid', 'helium', 'temperature', 'the', 'phase', 'coherence', 'relaxation', 'time', 'empht_2', 'reaches', 'sim', '10', 'mus', 'and', 'with', 'a', 'rabi', 'frequency', 'of', '20', 'mhz', 'yields', 'a', 'single', 'qubit', 'figure', 'of', 'merit', 'emphq_m', 'of', 'about', '500', 'this', 'shows', 'that', 'a', 'diluted', 'ensemble', 'of', 'cr5', 'emphs', '12', 'doped', 'k_3nbo_8', 'is', 'a', 'potential', 'candidate', 'for', 'solidstate', 'quantum', 'information', 'processing']] | [-0.1459125395771116, 0.2504378719534725, 0.022903311382979154, -0.026029082536697386, 0.03427266587503255, -0.22123076917137952, 0.12408826814731583, 0.3886993959918618, -0.1803531857416965, -0.29812564875814135, 0.028191984257427975, -0.33040248934179545, -0.021667034863494337, 0.24053686165949328, 0.05629120583180338, 0.019330870350822805, -0.011526825428009034, 0.030626142327673734, -0.11966077999910339, -0.17439605664461852, 0.17049185048788787, 0.034760602036258206, 0.2800849148444831, 0.03350881040445529, 0.13885860540904105, -0.032718976789619776, 0.17454627538099884, -0.07761341780307703, -0.12366297835185833, -0.0003465828485786915, 0.269332502996549, -0.03236754389479756, 0.2450986435636878, -0.3711030805017799, -0.1839677450887393, 0.020361050285864622, 0.1128508672004682, 0.18151181448600254, -0.08799574069911614, -0.2665854033047799, 0.004329948907252401, -0.16490604981780052, -0.09994368783198297, -0.0763229628186673, 0.03723265542415902, -0.04187790270458208, -0.23556849115062506, 0.14406993905780838, 0.06289112959988415, 0.07764512553811073, -0.05246006037574261, -0.1356657185347285, 0.028345818284433336, 0.036430821791291236, -0.0778775469341781, 0.06831521747051739, 0.22813083340413867, -0.05683545873267576, -0.12937936762231403, 0.3537186683341861, -0.12491430952679367, -0.04042335538659245, 0.11312462229980155, -0.1786854605213739, -0.08246066085528582, 0.1719933027494699, 0.09098415123997255, 0.12066038404591381, -0.14728791974601335, 0.02166093326115515, 0.01292609738651663, 0.2965780893783085, 0.07295961404684931, 0.11310083622578532, 0.26846486528404057, 0.27291244857944547, 0.03307556140236557, 0.15432166011072695, -0.1639959988882765, -0.07770457428880036, -0.1772096505353693, -0.19296028566895984, -0.21253144956426695, 0.17463888697850052, -0.07245283961281529, -0.12249754883348941, 0.41743322782218456, 0.14653757533989847, 0.14588777131633834, -0.019423096982063726, 0.2284563894243911, 0.07567627850337885, 0.028623023245017976, 0.015975421178154647, 0.22515810284763574, 0.1835098870121874, 0.13515737367793917, -0.29438557466957715, 0.012078079339116811, -0.042627136975061146] |
710.52 | Overview of nucleon structure studies | A brief overview of the recent activity in the measurement of the elastic
electromagnetic proton and neutron form factors is presented. It is discussed
how the quality of the data has been greatly improved by performing double
polarization experiments, and the role of two-photon exchange processes will be
highlighted. The spatial information on the quark charge distribibutions in the
nucleon resulting from the form factors measurements will be discussed, as well
as the steady rate of improvements made in the lattice QCD calculations. It is
discussed how generalized parton distributions have emerged as a unifying theme
in hadron physics linking the spatial densities extracted from form factors
with the quark momentum distribution information residing in quark structure
functions. The recent progress in the electromagnetic excitation of the
$\Delta(1232)$ resonance will also briefly be discussed.
| nucl-th | a brief overview of the recent activity in the measurement of the elastic electromagnetic proton and neutron form factors is presented it is discussed how the quality of the data has been greatly improved by performing double polarization experiments and the role of twophoton exchange processes will be highlighted the spatial information on the quark charge distribibutions in the nucleon resulting from the form factors measurements will be discussed as well as the steady rate of improvements made in the lattice qcd calculations it is discussed how generalized parton distributions have emerged as a unifying theme in hadron physics linking the spatial densities extracted from form factors with the quark momentum distribution information residing in quark structure functions the recent progress in the electromagnetic excitation of the delta1232 resonance will also briefly be discussed | [['a', 'brief', 'overview', 'of', 'the', 'recent', 'activity', 'in', 'the', 'measurement', 'of', 'the', 'elastic', 'electromagnetic', 'proton', 'and', 'neutron', 'form', 'factors', 'is', 'presented', 'it', 'is', 'discussed', 'how', 'the', 'quality', 'of', 'the', 'data', 'has', 'been', 'greatly', 'improved', 'by', 'performing', 'double', 'polarization', 'experiments', 'and', 'the', 'role', 'of', 'twophoton', 'exchange', 'processes', 'will', 'be', 'highlighted', 'the', 'spatial', 'information', 'on', 'the', 'quark', 'charge', 'distribibutions', 'in', 'the', 'nucleon', 'resulting', 'from', 'the', 'form', 'factors', 'measurements', 'will', 'be', 'discussed', 'as', 'well', 'as', 'the', 'steady', 'rate', 'of', 'improvements', 'made', 'in', 'the', 'lattice', 'qcd', 'calculations', 'it', 'is', 'discussed', 'how', 'generalized', 'parton', 'distributions', 'have', 'emerged', 'as', 'a', 'unifying', 'theme', 'in', 'hadron', 'physics', 'linking', 'the', 'spatial', 'densities', 'extracted', 'from', 'form', 'factors', 'with', 'the', 'quark', 'momentum', 'distribution', 'information', 'residing', 'in', 'quark', 'structure', 'functions', 'the', 'recent', 'progress', 'in', 'the', 'electromagnetic', 'excitation', 'of', 'the', 'delta1232', 'resonance', 'will', 'also', 'briefly', 'be', 'discussed']] | [-0.07289010723457581, 0.19672319923590562, -0.10839092022830382, 0.09644958999662667, -0.05343426056416299, -0.021899763734125412, 0.017198167366668918, 0.36094825472192543, -0.21932752001890563, -0.2606536474891175, 0.05427171951124823, -0.2913263807689449, -0.10165590135366621, 0.16049885639266104, 0.04743401031885156, 0.07732219586351928, 0.06544165885692141, 0.03784719645661145, -0.08627632572280622, -0.21696185397379858, 0.3292830759900993, 0.11192080616702403, 0.2898129152022022, 0.1588645594236546, 0.060949045218548326, 0.04017225810837813, -0.09165594096232514, -0.02574581318076252, -0.12045925722678046, 0.10146910903093062, 0.2706342360842448, 0.11334680816634818, 0.18637906348409788, -0.43937020548584316, -0.19857891259848007, 0.029584851382034167, 0.14358954105519206, 0.11388774078052238, -0.09928103502668244, -0.27460722073464466, 0.004039168368352759, -0.2242163726989936, -0.15417431583943167, -0.11646567550802925, -0.0015348225606157256, 0.06289972803954567, -0.2407992933338501, 0.06695000047570522, 0.011469498316099154, 0.01542056943030627, -0.011127893216872966, -0.20818666366490893, -0.013936962323137243, 0.1067280659611386, 0.09645631913046696, 0.0983883671662105, 0.17339725092165453, -0.19791906654197527, -0.15121509971559272, 0.39255762365611646, -0.0383230606164027, -0.19650663889391362, 0.08674515519882868, -0.19999843167449186, -0.1428739707085437, 0.11805805935755484, 0.175630970833529, 0.05203198013070943, -0.19925523553913654, 0.06965026114384566, -0.02484165692327306, 0.14265885007658735, 0.0741176039096024, 0.11637225122492116, 0.2339733377820287, 0.22143353532502583, -0.06346946772489052, 0.10346854200562168, -0.09106649125092908, -0.10698252433168709, -0.32169514999171733, -0.10129122663625426, -0.14835310495927706, 0.05728688212969389, -0.05804645745355034, -0.08005424480381093, 0.40557966728456657, 0.09211957212047357, 0.2234073951140158, -0.09777787151480359, 0.304564397249903, 0.11256496705941128, 0.09260287276938334, 0.03767153530388622, 0.2966150758959549, 0.2056264069221942, 0.15450838776445366, -0.2323369506704516, 0.06055653187852437, 0.02534812234370108] |
710.5201 | A regularity criterion for the dissipative quasi-geostrophic equations | We establish a regularity criterion for weak solutions of the dissipative
quasi-geostrophic equations in mixed time-space Besov spaces.
| math.AP | we establish a regularity criterion for weak solutions of the dissipative quasigeostrophic equations in mixed timespace besov spaces | [['we', 'establish', 'a', 'regularity', 'criterion', 'for', 'weak', 'solutions', 'of', 'the', 'dissipative', 'quasigeostrophic', 'equations', 'in', 'mixed', 'timespace', 'besov', 'spaces']] | [-0.23739374563511875, 0.04733397961697645, -0.10441267776898006, 0.24908927390869293, -0.08572611595607466, -0.12864391213386422, -0.03687357374777397, 0.19031174874140155, -0.3342486441963249, -0.10749027241642277, 0.13884348721734974, -0.1748511710514625, -0.07903708393375079, 0.22254294012155798, -0.13057305586213866, 0.18628117967293495, 0.0645886179473665, -0.08860742445621225, -0.13404259892801443, -0.22681540178341997, 0.487222826315297, -0.14907751770483124, 0.2531739719625976, -0.033008827827870846, 0.1104074519434006, -0.11803224990661773, 0.031052412077163655, -0.015994039881560538, -0.3835518790098528, 0.07379255154066616, 0.26383900083601475, -0.04051506953934828, 0.3946617336736785, -0.4087553657591343, -0.2771356615962254, 0.15674803173169494, 0.06417703695802225, 0.07559119247727925, -0.011379969616731008, -0.3552134641342693, 0.09789347832298113, -0.014864345288111104, -0.23926728818979529, -0.1275217408935229, -0.022305813850834966, 0.12341281440522936, -0.4290868722730213, 0.1834098664112389, 0.18701392986501256, 0.066408546279288, -0.31748566978300613, -0.010940631127191914, -0.03784609441128042, -0.059270008635293275, -0.02958529892687996, -0.06054367531194455, -0.05997193529684511, -0.14934519430001578, -0.04219467844814062, 0.3027758457594448, -0.14057771592504448, -0.40850607202284867, 0.17681965790688992, -0.12275754055008292, -0.0969630145571298, 0.0498946046249734, 0.24978989722310668, 0.1719113083349334, -0.1278495349817806, 0.17264202288869354, -0.11497360571391052, 0.10107436258759764, 0.1426144908182323, 0.09267354151234031, -0.027824762794706557, 0.2005097141696347, 0.23393432169945705, 0.17536113814761242, -0.006810117435331146, -0.16350990348534347, -0.4278428844279713, -0.2138457141118124, -0.10396107482827371, 0.12714851647615433, -0.2108091136906296, -0.2650727642079194, 0.29090909183853203, 0.11629985878244042, 0.017530526138014264, 0.13300717363340986, 0.16358812360299957, 0.18205793688280714, -0.0942245866689417, 0.12596390349790454, 0.2707033297047019, 0.2561197363668018, 0.24744950250412026, -0.16340810479596257, 0.008766099888210496, 0.3490783859354754] |
710.5202 | The category of 3-computads is not cartesian closed | We show, using Eckmann-Hilton argument, that the category of 3-computads is
not cartesian closed. As a corollary we get that neither the category of all
computads nor the category of n-computads, for n>2, do form locally cartesian
closed categories, and hence elementary toposes.
| math.CT | we show using eckmannhilton argument that the category of 3computads is not cartesian closed as a corollary we get that neither the category of all computads nor the category of ncomputads for n2 do form locally cartesian closed categories and hence elementary toposes | [['we', 'show', 'using', 'eckmannhilton', 'argument', 'that', 'the', 'category', 'of', '3computads', 'is', 'not', 'cartesian', 'closed', 'as', 'a', 'corollary', 'we', 'get', 'that', 'neither', 'the', 'category', 'of', 'all', 'computads', 'nor', 'the', 'category', 'of', 'ncomputads', 'for', 'n2', 'do', 'form', 'locally', 'cartesian', 'closed', 'categories', 'and', 'hence', 'elementary', 'toposes']] | [-0.12023096529412128, 0.044787224914346425, -0.061591295924569876, 0.13113754237392208, -0.12435832498816862, -0.1266219812733609, 0.0077710660684499, 0.40326874277421404, -0.29912767222239856, -0.1984131037967191, 0.08642440989968322, -0.16526379979526004, -0.11360391032178, 0.16885189590365848, -0.1687678561900698, -0.15418258788330214, 0.08569012038476233, 0.15426452639734461, -0.05256869498961827, -0.23873124098671333, 0.4394913110882044, -0.09234688998687834, 0.24321859378722452, 0.04994995401994813, 0.09864158899013308, 0.018668126436837372, 0.035843756404661, 0.10144102544568125, -0.12202517617766889, 0.1082593830097245, 0.27462746985145803, 0.1666492752376057, 0.1635419496285197, -0.4387538227740498, -0.0782804006677387, 0.14463893202177824, 0.16674231986204782, 0.056596645985596945, -0.0037400760643538974, -0.24574336666791213, 0.11535538832790085, -0.2518952994474343, -0.06235802185256034, -0.12042427799176603, 0.07388138179002064, 0.04446451693019342, -0.2523946162712361, -0.027060935118546087, 0.18424998303609236, 0.09715264667535112, -0.13653824883069665, -0.040661489635351156, -0.11650192946018208, 0.13868815807758697, -0.09065376047510654, 0.020952264135259958, 0.12068638621297266, -0.057517968118190765, -0.09049026162496634, 0.370733736881188, -0.06414997863716312, -0.27695709329453255, 0.15794096982461356, -0.1554558221527952, -0.13848156730333963, 0.11935348054837613, -0.02948337724609744, 0.18508866455938136, -0.04176086717329565, 0.20190282529524883, -0.20403723190316841, 0.11488875125845273, 0.10048461175479349, 0.05649321471961836, 0.12060016455749671, 0.04736240763616349, 0.04234149625768796, 0.10103891380796474, 0.022271051869860718, -0.060245836608200556, -0.4166737998880091, -0.19859413217220986, -0.09093747447921141, 0.1623910556234131, -0.040689317830713535, -0.26785416306839105, 0.2846409851141895, 0.07358514730419431, 0.1351876167048301, 0.1829822657275058, 0.2549923071194263, 0.008626382573441203, 0.05041539899650074, 0.09925344820311736, 0.1677625171197135, 0.17338521712060487, -0.043489110977610664, -0.028678787129354618, 0.015571356762111896, 0.23625321531047425] |
710.5203 | S-matrix at spatial infinity | We provide a new method to construct the S-matrix in quantum field theory.
This method implements crossing symmetry manifestly by erasing the a priori
distinction between in- and out-states. It allows the description of processes
where the interaction weakens with distance in space, but remains strong in the
center at all times. It should also be applicable to certain spacetimes where
the conventional method fails due to lack of temporal asymptotic states.
| hep-th gr-qc | we provide a new method to construct the smatrix in quantum field theory this method implements crossing symmetry manifestly by erasing the a priori distinction between in and outstates it allows the description of processes where the interaction weakens with distance in space but remains strong in the center at all times it should also be applicable to certain spacetimes where the conventional method fails due to lack of temporal asymptotic states | [['we', 'provide', 'a', 'new', 'method', 'to', 'construct', 'the', 'smatrix', 'in', 'quantum', 'field', 'theory', 'this', 'method', 'implements', 'crossing', 'symmetry', 'manifestly', 'by', 'erasing', 'the', 'a', 'priori', 'distinction', 'between', 'in', 'and', 'outstates', 'it', 'allows', 'the', 'description', 'of', 'processes', 'where', 'the', 'interaction', 'weakens', 'with', 'distance', 'in', 'space', 'but', 'remains', 'strong', 'in', 'the', 'center', 'at', 'all', 'times', 'it', 'should', 'also', 'be', 'applicable', 'to', 'certain', 'spacetimes', 'where', 'the', 'conventional', 'method', 'fails', 'due', 'to', 'lack', 'of', 'temporal', 'asymptotic', 'states']] | [-0.10987360448537704, 0.12662360352826202, -0.1350755865439876, 0.09008285587414219, -0.06827161209528437, -0.1521163780707866, 0.04743212735856003, 0.36590328049432075, -0.25463520508492365, -0.2816043480221803, 0.035156952566467226, -0.21526211191364078, -0.14689456826696792, 0.15177685751890144, -0.058990920460524246, 0.004619135107431147, 0.010687104911388209, 0.06524412457858692, -0.09103595418855548, -0.1807762305866668, 0.3157456461404864, 0.04057925215036246, 0.30464047788538867, 0.08635114360367879, 0.08979821055092746, 0.04927445366047323, 0.019041484493451815, -0.002317519981766559, -0.08426162876033534, 0.0954026338707384, 0.23904462883769562, 0.12212421450143059, 0.2336025156805085, -0.43412549710936016, -0.20201042927025506, 0.09686354436497721, 0.1423691655250473, 0.17409704256958017, -0.011029712093078261, -0.28604658103722613, 0.08170297877707829, -0.15089106692984286, -0.16439223018824123, -0.09805837116437033, 0.015343008684188439, -0.06864488047237198, -0.25140057515171876, 0.10856389799826299, 0.06472239101357344, 0.018385117588978674, -0.036666909747711744, -0.002983544649194098, 0.010555551626667794, 0.1148961298361731, 0.06313910816485684, 0.05745188540054692, 0.05058423770727435, -0.10078742539755897, -0.07564068054004262, 0.3827750660582549, -0.03511508825209199, -0.21228792877971298, 0.22756551382028395, -0.17074931859840742, -0.12999368960138075, 0.13005928124766797, 0.12137156993978554, 0.1332324565203938, -0.13543752333821935, 0.14477404382180087, 0.012906381821570298, 0.1412388681298277, 0.055843663608862296, 0.06774927437719372, 0.20694116708020577, 0.11985560353948838, 0.0944172480085399, 0.11674022252716693, -0.04998294115971981, -0.13194519544211086, -0.3716239462470791, -0.14922571803132692, -0.15258884609890325, 0.049725095288724534, -0.07160222057569222, -0.16257672327467138, 0.3482510720237365, 0.19618953857570887, 0.20243871125340876, 0.039864580845460296, 0.2767285591043118, 0.12281619013002557, 0.11451238229508615, 0.08891179309123093, 0.24049969271032345, 0.146374106306919, 0.059539719536486596, -0.20317308628323694, 0.045217970347342394, 0.09335551388277155] |
710.5204 | K\"ahler Ricci flow on Fano surfaces (I) | We show the properties of the blowup limits of \KRf solutions on Fano
surfaces if Riemannian curvature is unbounded. As an application, on every
toric Fano surface, we prove that \KRf converges to a K\"ahler Ricci soliton
metric if the initial metric has toric symmetry. Therefore we give a new Ricci
flow proof of existence of K\"ahler Ricci soliton metrics on toric surfaces.
| math.DG math.AG | we show the properties of the blowup limits of krf solutions on fano surfaces if riemannian curvature is unbounded as an application on every toric fano surface we prove that krf converges to a kahler ricci soliton metric if the initial metric has toric symmetry therefore we give a new ricci flow proof of existence of kahler ricci soliton metrics on toric surfaces | [['we', 'show', 'the', 'properties', 'of', 'the', 'blowup', 'limits', 'of', 'krf', 'solutions', 'on', 'fano', 'surfaces', 'if', 'riemannian', 'curvature', 'is', 'unbounded', 'as', 'an', 'application', 'on', 'every', 'toric', 'fano', 'surface', 'we', 'prove', 'that', 'krf', 'converges', 'to', 'a', 'kahler', 'ricci', 'soliton', 'metric', 'if', 'the', 'initial', 'metric', 'has', 'toric', 'symmetry', 'therefore', 'we', 'give', 'a', 'new', 'ricci', 'flow', 'proof', 'of', 'existence', 'of', 'kahler', 'ricci', 'soliton', 'metrics', 'on', 'toric', 'surfaces']] | [-0.24432648588267583, 0.02180906146647416, -0.15618449014921984, 0.10410073070809067, -0.1588889125971094, -0.23172229654081758, -0.11112474169700391, 0.3727470763500721, -0.19529083953608598, -0.11937230151324045, 0.13460953006639131, -0.2910441766300845, -0.18834606824176653, 0.1877301344574089, -0.19232822630909227, 0.003924666371728692, 0.08381048569248782, 0.07921962306228658, -0.09094751497272342, -0.35372059769366704, 0.5427826498709027, -0.059158357540293346, 0.2757946629491117, 0.25441944455018356, 0.18294276541010254, -0.09843952638200587, 0.13853042594911086, -0.013164315461402848, -0.2851169973595432, 0.08294497536761421, 0.21490451737883545, 0.08246130001405994, 0.12449286437578617, -0.35998106213232933, -0.24212702479775225, 0.20394529727479768, 0.10437484937793916, 0.10963406586014325, -0.08022881470923682, -0.2988803607249071, 0.1271215821690266, -0.028280271098963798, -0.23076465982843988, -0.11765241914147896, -0.00469670459509842, 0.04788718042924764, -0.13325573838064594, -0.033180073546689184, 0.13258526596935497, 0.06212579414603256, -0.08912113172903893, -0.03229806449500814, -0.16836462773027874, -0.02756947274541571, 0.05846923005412377, 0.05356283601935184, 0.1258427052960051, -0.07821513640247138, -0.08802293502681312, 0.31951503839994233, -0.21910852782930884, -0.2895873659364288, 0.05358084359221042, -0.04659999231438315, -0.07728903042891669, 0.12261101369199062, 0.17845966818461578, 0.25358063421611277, -0.00304520317530703, 0.18666869467715658, -0.07016327152294773, 0.1029077624636037, 0.18066449144056865, 0.002451884419849468, 0.1277300956444667, 0.1356008375980078, 0.2741087465990512, 0.11913597142501246, 0.003991956005819024, -0.054185469989620504, -0.4160212793993571, -0.21604562045208045, -0.17287029331875226, 0.3276670771606621, -0.20997962386657795, -0.21822772633343462, 0.43287821983297664, -0.07723435042204246, 0.20259300938674382, 0.12422373215298331, 0.22923676512898908, -0.009747408021847525, -0.025543774825535596, 0.14811485632514906, 0.23352589413508892, 0.22710052268609168, 0.05059888529487782, -0.14538756053569535, -0.09388239009098874, 0.2203842536102803] |
710.5205 | Quarkonium correlators at finite temperature and potential models | We discuss the calculations of quarkonium spectral functions in potential
models and their implications for the interpretation of the lattice data on
quarkonium correlators. In particular, we find that melting of different
quarkonium states does not lead to significant change in the Euclidean time
correlators. The large change of the quarkonium correlators above deconfinement
observed in the scalar and axial-vector channels appears to be due to the zero
mode contribution.
| hep-lat | we discuss the calculations of quarkonium spectral functions in potential models and their implications for the interpretation of the lattice data on quarkonium correlators in particular we find that melting of different quarkonium states does not lead to significant change in the euclidean time correlators the large change of the quarkonium correlators above deconfinement observed in the scalar and axialvector channels appears to be due to the zero mode contribution | [['we', 'discuss', 'the', 'calculations', 'of', 'quarkonium', 'spectral', 'functions', 'in', 'potential', 'models', 'and', 'their', 'implications', 'for', 'the', 'interpretation', 'of', 'the', 'lattice', 'data', 'on', 'quarkonium', 'correlators', 'in', 'particular', 'we', 'find', 'that', 'melting', 'of', 'different', 'quarkonium', 'states', 'does', 'not', 'lead', 'to', 'significant', 'change', 'in', 'the', 'euclidean', 'time', 'correlators', 'the', 'large', 'change', 'of', 'the', 'quarkonium', 'correlators', 'above', 'deconfinement', 'observed', 'in', 'the', 'scalar', 'and', 'axialvector', 'channels', 'appears', 'to', 'be', 'due', 'to', 'the', 'zero', 'mode', 'contribution']] | [-0.10375440459964531, 0.21592308437185628, -0.14561773782063808, 0.1470054889363902, -0.015886946767568588, -0.08911033834197692, 0.047271152179954305, 0.36375408893717187, -0.19225524435085908, -0.19070698640176229, 0.025076102618394155, -0.28660072978319867, -0.06312951321846673, 0.09149730336918895, 0.019144191180488893, 0.09254492675619466, 0.06569085471065982, 0.059940606987636, -0.12390329319251968, -0.2138109963719866, 0.365192991441914, 0.01448416701251907, 0.2719546837998288, 0.26244197112641166, -0.01256679092766717, 0.0045182527541848165, -0.019947757764852473, -0.03168372353538871, -0.11534202326739822, 0.05165919989064735, 0.24026186745847683, 0.08012227902987173, 0.14834086435980032, -0.41814238484948874, -0.21616400666534902, 0.15561437401920558, 0.16397570595145225, 0.15267974298580417, 0.007588305848184973, -0.23865909412935643, 0.07654019207028406, -0.1576093846133777, -0.1480739147136254, -0.11824146747925884, -0.0017447886655905416, -0.036791949572839905, -0.24437990587071648, 0.11341668137881372, -0.012671184353530407, 0.028150794111986344, -0.10258898945259197, -0.19501744869298168, -0.03626994490623474, 0.08475505647781705, 0.12099233259879319, 0.09261060979749475, 0.15112377043281283, -0.20517475467973523, -0.16495957417313808, 0.4006494223007134, -0.11139939677502428, -0.15921077903892314, 0.18343094382435082, -0.22434846183418164, -0.14080969522973255, 0.09600983347211565, 0.20616453952555144, 0.08064357033997242, -0.1037205004133284, 0.08129537895687723, 0.042175391209977015, 0.12770931674167513, 0.06002322214522532, 0.13950712481912758, 0.23960456092442786, 0.08459497647293444, -0.019787581005532826, 0.13802969044440294, -0.050074711704759724, -0.1288560771117253, -0.3743707109774862, -0.13781677238377077, -0.16246728736233698, 0.03681453588505974, -0.09431637366526827, -0.18634900372209293, 0.43919595938641576, 0.14708338580759509, 0.24137141165057463, 0.017614932980255356, 0.2352940578545843, 0.13673816034487182, 0.11953513311288719, 0.05962590004450508, 0.2734136034601501, 0.1669813867924469, 0.18868968283890614, -0.32507716372076956, -0.0029681393078395298, 0.019252442521974444] |
710.5206 | SUSY beyond minimal flavour violation | We review aspects of the phenomenology of the MSSM with non-minimal flavour
violation, including a discussion of important constraints and the sensitivity
to fundamental scales.
| hep-ph | we review aspects of the phenomenology of the mssm with nonminimal flavour violation including a discussion of important constraints and the sensitivity to fundamental scales | [['we', 'review', 'aspects', 'of', 'the', 'phenomenology', 'of', 'the', 'mssm', 'with', 'nonminimal', 'flavour', 'violation', 'including', 'a', 'discussion', 'of', 'important', 'constraints', 'and', 'the', 'sensitivity', 'to', 'fundamental', 'scales']] | [-0.15101859763264655, 0.1781585995480418, -0.017292915359139443, 0.132397680580616, -0.1759778805822134, -0.1628987816721201, 0.03779590860009194, 0.21178796410560607, -0.2040018943697214, -0.34864718094468117, 0.08973542131483554, -0.24441421320661902, -0.09770881578326225, 0.12752850204706193, 0.019073875360190867, 0.07099063284695148, 0.018390332832932472, -0.014595702961087227, -0.1316982737928629, -0.2276867712335661, 0.3309642878547311, 0.11523981511592865, 0.2065161210298538, 0.1775023028999567, 0.08364430184476078, -0.05348421985283494, -0.11479220569133758, -0.021932153664529323, -0.20383144859224558, 0.15340972274541856, 0.1945515087246895, 0.17051634926348924, 0.14887754887342453, -0.39084807157516477, -0.20665596920996904, 0.1362641680240631, 0.08584420058876276, 0.09924749456346035, -0.04661014776676893, -0.3189799250662327, -0.014952778406441212, -0.15243520852178336, -0.11715123102068901, -0.07728437948971986, -0.010801339596509934, -0.06350645549595356, -0.2532506324350834, 0.08384614790789784, -0.0016786559112370015, 0.04449888810515404, 0.06272889737039805, -0.16944366917014123, 0.025634001567959787, 0.046453938987106085, 0.2827949643880129, -0.061607997473329304, 0.15436284566298128, -0.271117559671402, -0.1736504793725908, 0.5216241298615932, -0.08105561148375273, -0.14872004844248296, 0.17993318922817708, -0.17860879078507425, -0.2818094680085778, -0.007992495745420457, 0.21631139323115348, 0.05597258431836963, -0.1389854659512639, 0.21946030512219294, -0.017015692181885242, 0.15489944364875555, -0.008223983570933341, 0.1943240380100906, 0.27004698500037194, 0.3043765389174223, 0.04920513566583395, 0.06029173500835896, -0.04067233853042126, -0.13378655657172203, -0.5106932371854782, -0.10230140011757612, 0.01315425348468125, 0.05004723228514194, -0.09586906796263066, -0.06522360041737557, 0.5179668992012739, 0.1856772842630744, 0.18459237307310106, 0.009788132645189762, 0.281553492359817, -0.010007828045636415, 0.04462622001767159, -0.05447797395288944, 0.295041002035141, 0.1647638039290905, 0.11031910590827465, -0.2854637086763978, -0.03210384698584676, 0.036269654482603074] |
710.5207 | Birth of massive black hole binaries | If massive black holes (BHs) are ubiquitous in galaxies and galaxies
experience multiple mergers during their cosmic assembly, then BH binaries
should be common albeit temporary features of most galactic bulges.
Observationally, the paucity of active BH pairs points toward binary lifetimes
far shorter than the Hubble time, indicating rapid inspiral of the BHs down to
the domain where gravitational waves lead to their coalescence. Here, we review
a series of studies on the dynamics of massive BHs in gas-rich galaxy mergers
that underscore the vital role played by a cool, gaseous component in promoting
the rapid formation of the BH binary. The BH binary is found to reside at the
center of a massive self-gravitating nuclear disc resulting from the collision
of the two gaseous discs present in the mother galaxies. Hardening by
gravitational torques against gas in this grand disc is found to continue down
to sub-parsec scales. The eccentricity decreases with time to zero and when the
binary is circular, accretion sets in around the two BHs. When this occurs,
each BH is endowed with it own small-size (< 0.01 pc) accretion disc comprising
a few percent of the BH mass. Double AGN activity is expected to occur on an
estimated timescale of < 1 Myr. The double nuclear point-like sources that may
appear have typical separation of < 10 pc, and are likely to be embedded in the
still ongoing starburst. We note that a potential threat of binary stalling, in
a gaseous environment, may come from radiation and/or mechanical energy
injections by the BHs. Only short-lived or sub-Eddington accretion episodes can
guarantee the persistence of a dense cool gas structure around the binary
necessary for continuing BH inspiral.
| astro-ph | if massive black holes bhs are ubiquitous in galaxies and galaxies experience multiple mergers during their cosmic assembly then bh binaries should be common albeit temporary features of most galactic bulges observationally the paucity of active bh pairs points toward binary lifetimes far shorter than the hubble time indicating rapid inspiral of the bhs down to the domain where gravitational waves lead to their coalescence here we review a series of studies on the dynamics of massive bhs in gasrich galaxy mergers that underscore the vital role played by a cool gaseous component in promoting the rapid formation of the bh binary the bh binary is found to reside at the center of a massive selfgravitating nuclear disc resulting from the collision of the two gaseous discs present in the mother galaxies hardening by gravitational torques against gas in this grand disc is found to continue down to subparsec scales the eccentricity decreases with time to zero and when the binary is circular accretion sets in around the two bhs when this occurs each bh is endowed with it own smallsize 001 pc accretion disc comprising a few percent of the bh mass double agn activity is expected to occur on an estimated timescale of 1 myr the double nuclear pointlike sources that may appear have typical separation of 10 pc and are likely to be embedded in the still ongoing starburst we note that a potential threat of binary stalling in a gaseous environment may come from radiation andor mechanical energy injections by the bhs only shortlived or subeddington accretion episodes can guarantee the persistence of a dense cool gas structure around the binary necessary for continuing bh inspiral | [['if', 'massive', 'black', 'holes', 'bhs', 'are', 'ubiquitous', 'in', 'galaxies', 'and', 'galaxies', 'experience', 'multiple', 'mergers', 'during', 'their', 'cosmic', 'assembly', 'then', 'bh', 'binaries', 'should', 'be', 'common', 'albeit', 'temporary', 'features', 'of', 'most', 'galactic', 'bulges', 'observationally', 'the', 'paucity', 'of', 'active', 'bh', 'pairs', 'points', 'toward', 'binary', 'lifetimes', 'far', 'shorter', 'than', 'the', 'hubble', 'time', 'indicating', 'rapid', 'inspiral', 'of', 'the', 'bhs', 'down', 'to', 'the', 'domain', 'where', 'gravitational', 'waves', 'lead', 'to', 'their', 'coalescence', 'here', 'we', 'review', 'a', 'series', 'of', 'studies', 'on', 'the', 'dynamics', 'of', 'massive', 'bhs', 'in', 'gasrich', 'galaxy', 'mergers', 'that', 'underscore', 'the', 'vital', 'role', 'played', 'by', 'a', 'cool', 'gaseous', 'component', 'in', 'promoting', 'the', 'rapid', 'formation', 'of', 'the', 'bh', 'binary', 'the', 'bh', 'binary', 'is', 'found', 'to', 'reside', 'at', 'the', 'center', 'of', 'a', 'massive', 'selfgravitating', 'nuclear', 'disc', 'resulting', 'from', 'the', 'collision', 'of', 'the', 'two', 'gaseous', 'discs', 'present', 'in', 'the', 'mother', 'galaxies', 'hardening', 'by', 'gravitational', 'torques', 'against', 'gas', 'in', 'this', 'grand', 'disc', 'is', 'found', 'to', 'continue', 'down', 'to', 'subparsec', 'scales', 'the', 'eccentricity', 'decreases', 'with', 'time', 'to', 'zero', 'and', 'when', 'the', 'binary', 'is', 'circular', 'accretion', 'sets', 'in', 'around', 'the', 'two', 'bhs', 'when', 'this', 'occurs', 'each', 'bh', 'is', 'endowed', 'with', 'it', 'own', 'smallsize', '001', 'pc', 'accretion', 'disc', 'comprising', 'a', 'few', 'percent', 'of', 'the', 'bh', 'mass', 'double', 'agn', 'activity', 'is', 'expected', 'to', 'occur', 'on', 'an', 'estimated', 'timescale', 'of', '1', 'myr', 'the', 'double', 'nuclear', 'pointlike', 'sources', 'that', 'may', 'appear', 'have', 'typical', 'separation', 'of', '10', 'pc', 'and', 'are', 'likely', 'to', 'be', 'embedded', 'in', 'the', 'still', 'ongoing', 'starburst', 'we', 'note', 'that', 'a', 'potential', 'threat', 'of', 'binary', 'stalling', 'in', 'a', 'gaseous', 'environment', 'may', 'come', 'from', 'radiation', 'andor', 'mechanical', 'energy', 'injections', 'by', 'the', 'bhs', 'only', 'shortlived', 'or', 'subeddington', 'accretion', 'episodes', 'can', 'guarantee', 'the', 'persistence', 'of', 'a', 'dense', 'cool', 'gas', 'structure', 'around', 'the', 'binary', 'necessary', 'for', 'continuing', 'bh', 'inspiral']] | [-0.1405890736333926, 0.16923471674220178, -0.04622164958189907, 0.13055659898506877, -0.0817105100340476, -0.0498211011789473, 0.01814587953766542, 0.3751287781833006, -0.17280794981343206, -0.30002236717679936, 0.08690437935209568, -0.27930276136446214, -0.01624580346064509, 0.20692460897345363, -0.032950212959466235, -0.028233194255985188, 0.07176403234313641, -0.044449266896949016, -0.06570493678612235, -0.2739003119083853, 0.3308126922896398, 0.10256151790797179, 0.07687108942107963, -0.07174366605384941, 0.05190166446180748, -0.0729067970208624, -0.026072289728160416, -0.054697605615157435, -0.1316263186150536, 0.009625849829795438, 0.26330208456742443, 0.12867798190064994, 0.29309190803407026, -0.4351022519370807, -0.20650990349739523, 0.08107708135586499, 0.22047989855054767, 0.0857812646892853, -0.12633207713183114, -0.22551816006889566, 0.11111156590382702, -0.2580393686196268, -0.14234842167102865, 0.06981254439680405, 0.08483258813357679, 0.010814435179677924, -0.19860343313214668, 0.1704844302298235, 0.10824736345010544, -0.018612357438957717, -0.11323472067846783, -0.024611648840696682, -0.07097294398575156, 0.0736377829205594, 0.09838232599847418, 0.09329955930089844, 0.2946398143224152, -0.11328109797988353, -0.05967133465767672, 0.3972385977336671, -0.008580204362442601, -0.033002572343684734, 0.28161652548088956, -0.26462168928535124, -0.1434228817121558, 0.1721476348882009, 0.20657804127882368, 0.13868391108532835, -0.12747626982818475, -0.013614009833587001, 0.032867462039991684, 0.22516955054265314, 0.06421211686995645, 0.058848480756413274, 0.454525400086173, 0.14318733182652588, 0.00718683058553974, 0.09877892895310651, -0.1468550997852747, -0.08731516299220467, -0.1848557956202837, -0.08766813264644173, -0.13145884557660403, 0.12083488740110104, -0.1412836714113967, -0.12568069309636484, 0.2920375715853879, 0.05630532667024194, 0.23499925701429936, 0.029490415088366716, 0.2909890509017844, 0.04965441854520967, 0.11492411451472435, 0.1339422352138042, 0.3414692922328998, 0.1451643825352221, 0.07068004050233867, -0.2572250839304096, 0.06325835649601816, 0.0041732536030134985] |
710.5208 | Effect of epitaxial strain on ferroelectric polarization in multiferroic
BiFeO3 films | Multiferroic BiFeO3 epitaxial films with thickness ranging from 40 nm to 960
nm were grown by pulsed laser deposition on SrTiO3 (001) substrates with SrRuO3
bottom electrodes. X-ray characterization shows that the structure evolves from
angularly-distorted tetragonal with c/a ~ 1.04 to more bulk-like distorted
rhombohedral (c/a ~ 1.01) as the strain relaxes with increasing thickness.
Despite this significant structural evolution, the ferroelectric polarization
along the body diagonal of the distorted pseudo-cubic unit cells, as calculated
from measurements along the normal direction, barely changes.
| cond-mat.mtrl-sci cond-mat.str-el | multiferroic bifeo3 epitaxial films with thickness ranging from 40 nm to 960 nm were grown by pulsed laser deposition on srtio3 001 substrates with srruo3 bottom electrodes xray characterization shows that the structure evolves from angularlydistorted tetragonal with ca 104 to more bulklike distorted rhombohedral ca 101 as the strain relaxes with increasing thickness despite this significant structural evolution the ferroelectric polarization along the body diagonal of the distorted pseudocubic unit cells as calculated from measurements along the normal direction barely changes | [['multiferroic', 'bifeo3', 'epitaxial', 'films', 'with', 'thickness', 'ranging', 'from', '40', 'nm', 'to', '960', 'nm', 'were', 'grown', 'by', 'pulsed', 'laser', 'deposition', 'on', 'srtio3', '001', 'substrates', 'with', 'srruo3', 'bottom', 'electrodes', 'xray', 'characterization', 'shows', 'that', 'the', 'structure', 'evolves', 'from', 'angularlydistorted', 'tetragonal', 'with', 'ca', '104', 'to', 'more', 'bulklike', 'distorted', 'rhombohedral', 'ca', '101', 'as', 'the', 'strain', 'relaxes', 'with', 'increasing', 'thickness', 'despite', 'this', 'significant', 'structural', 'evolution', 'the', 'ferroelectric', 'polarization', 'along', 'the', 'body', 'diagonal', 'of', 'the', 'distorted', 'pseudocubic', 'unit', 'cells', 'as', 'calculated', 'from', 'measurements', 'along', 'the', 'normal', 'direction', 'barely', 'changes']] | [-0.07574039142734061, 0.25199839366990845, 0.058097921656789606, -0.14793947869250665, -0.034478993591978965, -0.15454227650497845, 0.12194462336979255, 0.5529223921720261, -0.3102902853401539, -0.29419656688876356, 0.00906357543979898, -0.3423655753334363, -0.02589683517537735, 0.2024092881100965, 0.006939772972089733, -0.010933356336605402, -0.04002718159492001, -0.17505205171987598, -0.1751546945946038, -0.17086756939677822, 0.16041906042323437, 0.013548342775507474, 0.389029263832066, 0.0075432026620816306, 0.01537429701168964, -0.044606215987400506, 0.19472435738799382, -0.01216490329695969, -0.19339408820689394, 0.04404782958518797, 0.20366179807410564, -0.1702732328084056, 0.1590471605994497, -0.49341449376057694, -0.20950420061701241, -0.11611998228666683, 0.09888745452576306, 0.08685182963381521, -0.09970453977933366, -0.25449299053461466, 0.13223602830282885, -0.03984505196251435, -0.07778936595926177, 0.010706344702393162, -0.017874306539234556, -0.021322091089929513, -0.17542342527519428, 0.08410168942753915, 0.032796111291297426, 0.19672161405101235, -0.18659407729972843, -0.18718422702111212, -0.22344810250042765, -0.01508861699681959, 0.1121695180952457, 0.19107146753913745, 0.30541531772196095, 0.0005722578764421704, -0.05643435994186151, 0.37133501648305006, -0.03555148327579423, -0.003224011131182865, 0.10864868023099354, -0.2708584089119585, -0.024315159264836968, 0.2469568182901123, 0.1137344018717147, 0.11316581903151984, -0.10811859046261367, 0.05757240519605945, 0.0509338555023948, 0.3420689439970172, 0.20866137301480328, 0.0383345064488642, 0.2020980940763781, 0.2464342479849878, -0.010042167832086116, 0.18453324695094775, -0.18080636675837508, 0.013270368131257041, -0.12153962765026975, -0.14168545901473542, -0.1684066285982866, 0.1402131112013587, -0.1951383334228102, -0.24353348183227175, 0.37502529760132786, 0.054868112617160805, 0.1546544937853828, -0.069534582324487, 0.21411251457678268, -0.029431608613339013, 0.127479441874994, -0.02950636509598957, 0.2753496799319063, 0.24008530980252005, 0.2038851657387927, -0.2130898065192418, 0.17681219260334785, -0.09300464205443859] |
710.5209 | A nontrivial algebraic cycle in the Jacobian variety of the Fermat
sextic | We compute some value of the harmonic volume for the Fermat sextic. Using
this computation, we prove that some special algebraic cycle in the Jacobian
variety of the Fermat sextic is not algebraically equivalent to zero.
| math.AG math.GT | we compute some value of the harmonic volume for the fermat sextic using this computation we prove that some special algebraic cycle in the jacobian variety of the fermat sextic is not algebraically equivalent to zero | [['we', 'compute', 'some', 'value', 'of', 'the', 'harmonic', 'volume', 'for', 'the', 'fermat', 'sextic', 'using', 'this', 'computation', 'we', 'prove', 'that', 'some', 'special', 'algebraic', 'cycle', 'in', 'the', 'jacobian', 'variety', 'of', 'the', 'fermat', 'sextic', 'is', 'not', 'algebraically', 'equivalent', 'to', 'zero']] | [-0.21709497650671336, 0.002774728513840172, -0.08077766803196734, 0.08384381881397632, -0.13279500712330142, -0.17703519135506618, -0.009250795520428155, 0.27080764931937057, -0.34688710379931664, -0.14561419371360293, 0.10258631737734605, -0.23983107298328024, -0.18472380905101696, 0.27008668467816377, -0.13691042551120822, 0.03376915636989805, 0.02928046932599197, 0.14130711586525044, -0.1176673608715646, -0.415880788065907, 0.3645715183681912, -0.0706742703397241, 0.1648764757749935, 0.10896836689466403, 0.12454632227309048, 0.02181247110840761, 0.0496587960773872, 0.0008441607674790753, -0.16739346676270847, 0.112875601066561, 0.32003616414213965, 0.11633453038909163, 0.1999892680388358, -0.36191104150687653, -0.14067338779568672, 0.2942647676035348, 0.1430125318778058, 0.11970501199054222, 0.042578472102630056, -0.137338310919909, 0.11493650954475419, -0.1511362739644634, -0.2566359316567994, -0.14324741343605435, 0.07140091832520233, 0.08943219969256057, -0.154477589414455, -0.03176480389407112, 0.041895125061273575, 0.19336590957310465, -0.007075106052474843, -0.1364147186816101, -0.0011256184532410568, -0.0033497504579524198, 0.04230833275424731, 0.046487997247216604, 0.0648390570293284, -0.09811310164190622, -0.009710474909904102, 0.37746851733471787, -0.08993177540186378, -0.2282717093411419, 0.024948052855001554, -0.15777180848332742, -0.16264362819492817, 0.18997260293367113, 0.07921990555607611, 0.11537183748765124, -0.03396937411485447, 0.1829737945097602, -0.09038997705404957, 0.09496652862677972, 0.11935287198947561, -0.0775831534087451, 0.11143533456035787, 0.008306882654627165, 0.04573543434445229, 0.15818874552011644, -0.040239298043565616, -0.11571760247978899, -0.42098333562413853, -0.21398435001416752, -0.18488366498948178, 0.19698297035170576, -0.15862916241813865, -0.2260788302584034, 0.4561471856302685, 0.07976278921382295, 0.13321097232660073, 0.13986209873110056, 0.2112992283784681, 0.12901689510585534, 0.05127506822464056, 0.04489825775898579, 0.2216531328886049, 0.19978447030815813, 0.011877523010803593, -0.22522409292610568, -0.054150977715229, 0.20572139832398129] |
710.521 | Dynamical symmetry in spinor Bose-Einstein condensates | We demonstrate that dynamical symmetry plays a crucial role in determining
the structure of the eigenspectra of spinor Bose-Einstein condensates (BECs).
In particular, the eigenspectra of spin- 1 and spin-2 BECs in the single-mode
approximation are shown to be completely determined by dynamical symmetries,
where a spin-2 BEC corresponds to the U(5) limit of the interacting boson model
in nuclear physics. The eigenspectrum of a spin-3 BEC is solved analytically
for a specific class of coupling constants, while it is shown that dynamical
symmetry alone is not enough to determine the spectrum for arbitrary coupling
constants. We also study the low-lying eigenspectra of spin-1 and spin-2 BECs
in the absence of external magnetic field, and find, in particular, that the
quasidegenerate spectra emerge for antiferromagnetic and cyclic phases. This
implies that these systems are highly susceptible to external perturbations and
may undergo symmetry-breaking transitions to other states upon increasing the
size of system.
| cond-mat.other nucl-th | we demonstrate that dynamical symmetry plays a crucial role in determining the structure of the eigenspectra of spinor boseeinstein condensates becs in particular the eigenspectra of spin 1 and spin2 becs in the singlemode approximation are shown to be completely determined by dynamical symmetries where a spin2 bec corresponds to the u5 limit of the interacting boson model in nuclear physics the eigenspectrum of a spin3 bec is solved analytically for a specific class of coupling constants while it is shown that dynamical symmetry alone is not enough to determine the spectrum for arbitrary coupling constants we also study the lowlying eigenspectra of spin1 and spin2 becs in the absence of external magnetic field and find in particular that the quasidegenerate spectra emerge for antiferromagnetic and cyclic phases this implies that these systems are highly susceptible to external perturbations and may undergo symmetrybreaking transitions to other states upon increasing the size of system | [['we', 'demonstrate', 'that', 'dynamical', 'symmetry', 'plays', 'a', 'crucial', 'role', 'in', 'determining', 'the', 'structure', 'of', 'the', 'eigenspectra', 'of', 'spinor', 'boseeinstein', 'condensates', 'becs', 'in', 'particular', 'the', 'eigenspectra', 'of', 'spin', '1', 'and', 'spin2', 'becs', 'in', 'the', 'singlemode', 'approximation', 'are', 'shown', 'to', 'be', 'completely', 'determined', 'by', 'dynamical', 'symmetries', 'where', 'a', 'spin2', 'bec', 'corresponds', 'to', 'the', 'u5', 'limit', 'of', 'the', 'interacting', 'boson', 'model', 'in', 'nuclear', 'physics', 'the', 'eigenspectrum', 'of', 'a', 'spin3', 'bec', 'is', 'solved', 'analytically', 'for', 'a', 'specific', 'class', 'of', 'coupling', 'constants', 'while', 'it', 'is', 'shown', 'that', 'dynamical', 'symmetry', 'alone', 'is', 'not', 'enough', 'to', 'determine', 'the', 'spectrum', 'for', 'arbitrary', 'coupling', 'constants', 'we', 'also', 'study', 'the', 'lowlying', 'eigenspectra', 'of', 'spin1', 'and', 'spin2', 'becs', 'in', 'the', 'absence', 'of', 'external', 'magnetic', 'field', 'and', 'find', 'in', 'particular', 'that', 'the', 'quasidegenerate', 'spectra', 'emerge', 'for', 'antiferromagnetic', 'and', 'cyclic', 'phases', 'this', 'implies', 'that', 'these', 'systems', 'are', 'highly', 'susceptible', 'to', 'external', 'perturbations', 'and', 'may', 'undergo', 'symmetrybreaking', 'transitions', 'to', 'other', 'states', 'upon', 'increasing', 'the', 'size', 'of', 'system']] | [-0.19846311133519254, 0.2481364403985246, -0.03366665177205517, 0.06997601843889487, -0.019294407653920594, -0.15630492621810582, -0.0126718582183707, 0.3338325376701511, -0.22086629305594888, -0.2618884611083499, 0.03753476627277563, -0.24025067716480836, -0.12345099516724255, 0.1266683135257754, 0.08725440857347612, 0.028537074024058588, 0.010870548032293228, 0.05196288902026425, -0.05797585635293835, -0.23436524061443514, 0.3572716383374558, -0.003985535788648074, 0.2535773870151709, 0.05756131648177318, 0.05701534604970244, 0.005894105907322632, 0.08557739612810752, -0.043931859715847794, -0.1232531692726565, 0.05155986997114762, 0.23361587571008724, 0.01080430638093769, 0.18451463629102055, -0.38947930587744767, -0.19695696262094906, 0.12790312695018705, 0.21968105184583883, 0.2136909805566949, -0.028448888770262012, -0.3131777640855171, 0.03389780267653074, -0.16801945103604035, -0.19612117800473547, -0.15691665661813436, 0.02033178834777228, -0.008573044837510299, -0.28619934230650246, 0.11543711892377093, 0.10247772179404731, 0.056084090626183775, -0.11212342651865256, -0.06769365461747119, -0.06970581270182152, 0.07470347313819076, 0.05535941779030182, 0.010028385322311211, 0.09829813430505786, -0.1912832691933765, -0.0861288329854218, 0.41506571487030564, -0.09394617368896291, -0.18676080387842756, 0.17970055198065596, -0.15611968173204505, -0.13816779423383327, 0.12449397193876649, 0.14236797174451007, 0.08621118347057039, -0.12089986690157245, 0.11664110335203351, -0.019339568919070016, 0.18538716836875074, 0.049505751790004035, 0.08455802199698595, 0.27698515803595775, 0.11241987143077102, 0.020643727220838366, 0.16563409800584933, -0.045556117998119566, -0.1675178690576086, -0.2728174815983116, -0.12091686172118667, -0.1896380370854114, 0.03953004167789937, -0.04997280968253857, -0.14473736440270965, 0.39138392887376494, 0.14125500397699248, 0.17629499889581518, -0.045448964114720915, 0.213314605682017, 0.12194558833817057, 0.06476355876600114, 0.021418753416000507, 0.32022312815526344, 0.20728114798582872, 0.038404249344203695, -0.3146009563477527, -0.029203893035479815, 0.040856396513108434] |
710.5211 | Anti-affine algebraic groups | We say that an algebraic group $G$ over a field is anti-affine if every
regular function on $G$ is constant. We obtain a classification of these
groups, with applications to the structure of algebraic groups in positive
characteristics, and to the construction of many counterexamples to Hilbert's
fourteenth problem.
| math.AG math.GR | we say that an algebraic group g over a field is antiaffine if every regular function on g is constant we obtain a classification of these groups with applications to the structure of algebraic groups in positive characteristics and to the construction of many counterexamples to hilberts fourteenth problem | [['we', 'say', 'that', 'an', 'algebraic', 'group', 'g', 'over', 'a', 'field', 'is', 'antiaffine', 'if', 'every', 'regular', 'function', 'on', 'g', 'is', 'constant', 'we', 'obtain', 'a', 'classification', 'of', 'these', 'groups', 'with', 'applications', 'to', 'the', 'structure', 'of', 'algebraic', 'groups', 'in', 'positive', 'characteristics', 'and', 'to', 'the', 'construction', 'of', 'many', 'counterexamples', 'to', 'hilberts', 'fourteenth', 'problem']] | [-0.19599334540187704, 0.03163492599085249, -0.13363966419912723, 0.03679898645899886, -0.15198884345591068, -0.09599583423981557, 0.0023113809221861313, 0.3807847434464766, -0.346631797448713, -0.2589422228896981, 0.1303121233430254, -0.27773852471490296, -0.17225575967862897, 0.2597563383834703, -0.13728092435975464, -0.06535122828672127, 0.02746795212887988, 0.15352073288047496, -0.09358999984129807, -0.3464914285055153, 0.372171016828138, -0.05058886008147074, 0.19393665592509265, 0.049106874617234786, 0.13657680494064578, 0.023246586113712008, 0.01734711343840677, 0.03597819162722753, -0.14196250468034569, 0.12352947415356354, 0.31187518768734773, 0.11828974006241377, 0.29522680031724885, -0.30186993028785636, -0.16005304170123832, 0.20842861882125846, 0.0720868767619285, 0.0713222722085763, -0.042225689487056614, -0.25135419059696856, 0.17386813454177916, -0.14163523950442977, -0.12622953736584405, -0.039326255076697895, 0.12924708193405626, -0.014755301158495096, -0.23334474722517426, -0.04408887443037666, 0.06721399093464929, 0.10277052140053437, -0.0510219701432756, -0.07585864739815648, 0.006441710241214961, 0.11130891839156346, 0.011421076696822229, 0.05575452876818956, 0.04905438456299468, -0.10879314477954592, -0.12669830556426728, 0.3910979617539109, -0.05864761534089945, -0.19077173620462418, 0.15378972829072451, -0.15919325436104317, -0.18818946719663787, 0.10019102346684251, 0.14317146099495645, 0.14622080441842292, -0.02521801321905068, 0.16197607582506288, -0.15685169592651785, 0.14649422926714226, 0.07243636685746666, -0.04213141725037475, 0.13074878063433024, 0.09192306522698122, 0.1382829229506588, 0.11735087692053342, 0.07007771594050739, 0.056200414734455396, -0.3242084084040656, -0.1668157669464934, -0.13420097921423765, 0.14012819638817894, -0.09556149820558375, -0.24179161116670894, 0.4204948482920929, 0.08213224929130199, 0.14295888085830577, 0.09936320004338513, 0.21021324168054425, 0.06901638960579828, 0.059512385266966054, 0.107255808514904, 0.09007184816600412, 0.22854450795970552, -0.04864293147040037, -0.14013954744275128, -0.010034026464029235, 0.1488207539695562] |
710.5212 | A note on singularity and non-proper value set of polynomial maps of
$\mathbb{C}^2$ | Some properties of the relation between the singular point set and the
non-proper value curve of polynomial maps of $\mathbb{C}^2$ are expressed in
terms of Newton-Puiseux expansions.
| math.AG math.CV | some properties of the relation between the singular point set and the nonproper value curve of polynomial maps of mathbbc2 are expressed in terms of newtonpuiseux expansions | [['some', 'properties', 'of', 'the', 'relation', 'between', 'the', 'singular', 'point', 'set', 'and', 'the', 'nonproper', 'value', 'curve', 'of', 'polynomial', 'maps', 'of', 'mathbbc2', 'are', 'expressed', 'in', 'terms', 'of', 'newtonpuiseux', 'expansions']] | [-0.22392345975256628, -0.011563932385157656, -0.09737327560368511, 0.04139232528568418, -0.05470263985572038, -0.03761747024125523, 0.015644200077211415, 0.29966490370807825, -0.3541246426326257, -0.18615045000074637, 0.1405903870817619, -0.3049942790358155, -0.1733375129600366, 0.25548097456770913, -0.062261170604162745, 0.07362410781422148, 0.012225685503195834, 0.061882002658590125, -0.17247820224750926, -0.25591614941152296, 0.3943835125753173, -0.09991588291746599, 0.18569199809873546, 0.049006379623379975, 0.11129969448127129, -0.05585201044946357, -0.019854384026041737, 0.0003766062221041432, -0.15086632490985924, 0.15989722635734965, 0.27122210587064427, 0.15480133753131936, 0.18264641267833887, -0.34384983709013023, -0.11161015948487653, 0.24295635328248696, 0.1157043754744033, -0.063685634828828, 0.07765309895492262, -0.22427184189911242, 0.06052670657151827, -0.08086212004396927, -0.20919705049514217, -0.1023470379964069, 0.03589809799773826, 0.11981755508868783, -0.2271940555009577, 0.07707013291548248, 0.07624009348176143, 0.19365111835024976, -0.0445922052367004, -0.1374465680370728, -0.05298918419241629, 0.10896198311820626, 0.00739518775501185, 0.06765115759507925, 0.08176072190205257, -0.1676176792976481, -0.05485452366647897, 0.3964783693232608, -0.08387752805181124, -0.25805143432484734, 0.1080052420772888, -0.21252551552391163, -0.10900138799721996, 0.11285830570246887, 0.09439458516943786, 0.1190959759125555, -0.09936824551335087, 0.17559047346650106, -0.07014215530620681, 0.038806783523695126, 0.1692321376219668, 0.04025567702397152, 0.18007748053167705, -0.011019085913344665, 0.028981032574342355, 0.16706311057701154, 0.01738445379736799, -0.11270575039088726, -0.4365381615029441, -0.1441949649920894, -0.15342404734757212, 0.04626705345732195, -0.25128792631558433, -0.23703133045799202, 0.4157223014367951, 0.036943648355426614, 0.28068658088644344, 0.11259078682848701, 0.17591298785474566, 0.19507491184642142, -0.03566906649481367, 0.03625079453060472, 0.15271468952630163, 0.15506166492209392, -0.00035523600807344473, -0.17811489256995697, 0.06461984388254306, 0.23637820100756707] |
710.5213 | CMV matrices with asymptotically constant coefficients. Szeg\"o over
Blaschke class, Scattering Theory | We develop a modern extended scattering theory for CMV matrices with
asymptotically constant Verblunsky coefficients. We demonstrate that an
orthonormal system in a certain "weighted'' Hilbert space, which we call the
Fadeev-Marchenko (FM) space, behaves asymptotically as the system in the
standard (free) case. The duality between the two types of Hardy subspaces in
it plays the key role in the proof of all asymptotics involved. We show that
the traditional (Faddeev-Marchenko) condition is too restrictive to define the
class of CMV matrices for which there exists a unique scattering
representation. The main results are: 1) Szeg\"o-Blaschke class: the class of
twosided CMV matrices acting in $l^2$, whose spectral density satisfies the
Szeg\"o condition and whose point spectrum the Blaschke condition, corresponds
precisely to the class where the scattering problem can be posed and solved.
That is, to a given CMV matrix of this class, one can associate the scattering
data and related to them the FM space. The CMV matrix corresponds to the
multiplication operator in this space, and the orthonormal basis in it
(corresponding to the standard basis in $l^2$) behaves asymptotically as the
basis associated with the free system. 2) $A_2$-Carleson class: from the point
of view of the scattering problem, the most natural class of CMV matrices is
that one in which a) the scattering data determine the matrix uniquely and b)
the associated Gelfand- Levitan- Marchenko transformation operators are
bounded. Necessary and sufficient conditions for this class can be given in
terms of an $A_2$ kind condition for the density of the absolutely continuous
spectrum and a Carleson kind condition for the discrete spectrum. Similar close
to the optimal conditions are given directly in terms of the scattering data.
| math.SP math-ph math.MP | we develop a modern extended scattering theory for cmv matrices with asymptotically constant verblunsky coefficients we demonstrate that an orthonormal system in a certain weighted hilbert space which we call the fadeevmarchenko fm space behaves asymptotically as the system in the standard free case the duality between the two types of hardy subspaces in it plays the key role in the proof of all asymptotics involved we show that the traditional faddeevmarchenko condition is too restrictive to define the class of cmv matrices for which there exists a unique scattering representation the main results are 1 szegoblaschke class the class of twosided cmv matrices acting in l2 whose spectral density satisfies the szego condition and whose point spectrum the blaschke condition corresponds precisely to the class where the scattering problem can be posed and solved that is to a given cmv matrix of this class one can associate the scattering data and related to them the fm space the cmv matrix corresponds to the multiplication operator in this space and the orthonormal basis in it corresponding to the standard basis in l2 behaves asymptotically as the basis associated with the free system 2 a_2carleson class from the point of view of the scattering problem the most natural class of cmv matrices is that one in which a the scattering data determine the matrix uniquely and b the associated gelfand levitan marchenko transformation operators are bounded necessary and sufficient conditions for this class can be given in terms of an a_2 kind condition for the density of the absolutely continuous spectrum and a carleson kind condition for the discrete spectrum similar close to the optimal conditions are given directly in terms of the scattering data | [['we', 'develop', 'a', 'modern', 'extended', 'scattering', 'theory', 'for', 'cmv', 'matrices', 'with', 'asymptotically', 'constant', 'verblunsky', 'coefficients', 'we', 'demonstrate', 'that', 'an', 'orthonormal', 'system', 'in', 'a', 'certain', 'weighted', 'hilbert', 'space', 'which', 'we', 'call', 'the', 'fadeevmarchenko', 'fm', 'space', 'behaves', 'asymptotically', 'as', 'the', 'system', 'in', 'the', 'standard', 'free', 'case', 'the', 'duality', 'between', 'the', 'two', 'types', 'of', 'hardy', 'subspaces', 'in', 'it', 'plays', 'the', 'key', 'role', 'in', 'the', 'proof', 'of', 'all', 'asymptotics', 'involved', 'we', 'show', 'that', 'the', 'traditional', 'faddeevmarchenko', 'condition', 'is', 'too', 'restrictive', 'to', 'define', 'the', 'class', 'of', 'cmv', 'matrices', 'for', 'which', 'there', 'exists', 'a', 'unique', 'scattering', 'representation', 'the', 'main', 'results', 'are', '1', 'szegoblaschke', 'class', 'the', 'class', 'of', 'twosided', 'cmv', 'matrices', 'acting', 'in', 'l2', 'whose', 'spectral', 'density', 'satisfies', 'the', 'szego', 'condition', 'and', 'whose', 'point', 'spectrum', 'the', 'blaschke', 'condition', 'corresponds', 'precisely', 'to', 'the', 'class', 'where', 'the', 'scattering', 'problem', 'can', 'be', 'posed', 'and', 'solved', 'that', 'is', 'to', 'a', 'given', 'cmv', 'matrix', 'of', 'this', 'class', 'one', 'can', 'associate', 'the', 'scattering', 'data', 'and', 'related', 'to', 'them', 'the', 'fm', 'space', 'the', 'cmv', 'matrix', 'corresponds', 'to', 'the', 'multiplication', 'operator', 'in', 'this', 'space', 'and', 'the', 'orthonormal', 'basis', 'in', 'it', 'corresponding', 'to', 'the', 'standard', 'basis', 'in', 'l2', 'behaves', 'asymptotically', 'as', 'the', 'basis', 'associated', 'with', 'the', 'free', 'system', '2', 'a_2carleson', 'class', 'from', 'the', 'point', 'of', 'view', 'of', 'the', 'scattering', 'problem', 'the', 'most', 'natural', 'class', 'of', 'cmv', 'matrices', 'is', 'that', 'one', 'in', 'which', 'a', 'the', 'scattering', 'data', 'determine', 'the', 'matrix', 'uniquely', 'and', 'b', 'the', 'associated', 'gelfand', 'levitan', 'marchenko', 'transformation', 'operators', 'are', 'bounded', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'this', 'class', 'can', 'be', 'given', 'in', 'terms', 'of', 'an', 'a_2', 'kind', 'condition', 'for', 'the', 'density', 'of', 'the', 'absolutely', 'continuous', 'spectrum', 'and', 'a', 'carleson', 'kind', 'condition', 'for', 'the', 'discrete', 'spectrum', 'similar', 'close', 'to', 'the', 'optimal', 'conditions', 'are', 'given', 'directly', 'in', 'terms', 'of', 'the', 'scattering', 'data']] | [-0.11248669760082965, 0.12372548023814225, -0.05847213135077701, 0.09128111826912153, -0.059967075256644034, -0.11050332658609302, -0.010334116081521579, 0.3312007692664053, -0.32876989523030065, -0.20659968476399473, 0.14436869004851513, -0.2719888463872713, -0.1699281809553239, 0.1712741022084399, -0.06801791461946913, 0.08186574116079104, 0.050172972184435206, 0.08690210226078077, -0.11685184202425421, -0.20611866990608094, 0.4059787061731613, 0.021761641418395622, 0.2506057686931404, 0.016394755750848145, 0.08007788369703452, 0.03671157128571987, -0.006325596495236526, -0.05613955882588382, -0.10726122770616305, 0.12906793227710917, 0.27222658627752705, 0.1165266926218076, 0.23780677723781177, -0.36580107173819454, -0.15566487434267123, 0.18990826300673477, 0.12116551433989838, 0.02045908768692806, -0.012601109150319867, -0.2620628155342028, 0.0705220404211962, -0.11875769605170737, -0.18785858515391518, -0.05116632821873573, 0.012417775874806641, -0.009992612796351712, -0.3603446040554403, 0.06411128435900931, 0.08634725394261027, 0.0008431415229346404, -0.09654585869396205, -0.09191489626704864, 0.006681424774415128, 0.1081085199725506, 0.01604602916176129, 0.021773021306935366, 0.057590182564052295, -0.059823636374075055, -0.0579219324484441, 0.38319182821824566, -0.06990616960890982, -0.2593814743608118, 0.1414022298075683, -0.16675120092815723, -0.13139492228090285, 0.10968477530338638, 0.1134825628772842, 0.11447886217491589, -0.13664971397745546, 0.1557487946310664, -0.11390835247035686, 0.11167435731852321, 0.08675564391525244, 0.06896268282238116, 0.12350791981244903, 0.08388073117641262, 0.12056411233866501, 0.13399388917532892, -0.022038998833852918, -0.07963662875652168, -0.34913154963231596, -0.15679400576588456, -0.2074979564205667, 0.07077187484418608, -0.10768673297153906, -0.20668059563698427, 0.37143487764316946, 0.10157502093849524, 0.2115704808769469, 0.07138447574666267, 0.19233114892671554, 0.18101235868030616, 0.059362545347850425, 0.06527009083901025, 0.16043402382679733, 0.1778751692297169, 0.08171889755801957, -0.18436570379309675, 0.013338772881630264, 0.1560335998835926] |
710.5214 | Multifractal detrended fluctuation analysis of combustion flames in
four-burner impinging entrained-flow gasifier | On a laboratory-scale testing platform of impinging entrained-flow gasifier
with four opposed burners, the flame images for diesel combustion and
gasification process were measured with a single charge coupled device (CCD)
camera. The two-dimensional multifractal detrended fluctuation analysis was
employed to investigate the multifractal nature of the flame images. Sound
power-law scaling in the annealed average of detrended fluctuations was
unveiled when the order $q>0$ and the multifractal feature of flame images were
confirmed. Further analyses identified two multifractal parameters, the minimum
and maximum singularity $\alpha_{\min}$ and $\alpha_{\max}$, serving as
characteristic parameters of the multifractal flames. These two characteristic
multifractal parameters vary with respect to different experimental conditions.
| physics.flu-dyn | on a laboratoryscale testing platform of impinging entrainedflow gasifier with four opposed burners the flame images for diesel combustion and gasification process were measured with a single charge coupled device ccd camera the twodimensional multifractal detrended fluctuation analysis was employed to investigate the multifractal nature of the flame images sound powerlaw scaling in the annealed average of detrended fluctuations was unveiled when the order q0 and the multifractal feature of flame images were confirmed further analyses identified two multifractal parameters the minimum and maximum singularity alpha_min and alpha_max serving as characteristic parameters of the multifractal flames these two characteristic multifractal parameters vary with respect to different experimental conditions | [['on', 'a', 'laboratoryscale', 'testing', 'platform', 'of', 'impinging', 'entrainedflow', 'gasifier', 'with', 'four', 'opposed', 'burners', 'the', 'flame', 'images', 'for', 'diesel', 'combustion', 'and', 'gasification', 'process', 'were', 'measured', 'with', 'a', 'single', 'charge', 'coupled', 'device', 'ccd', 'camera', 'the', 'twodimensional', 'multifractal', 'detrended', 'fluctuation', 'analysis', 'was', 'employed', 'to', 'investigate', 'the', 'multifractal', 'nature', 'of', 'the', 'flame', 'images', 'sound', 'powerlaw', 'scaling', 'in', 'the', 'annealed', 'average', 'of', 'detrended', 'fluctuations', 'was', 'unveiled', 'when', 'the', 'order', 'q0', 'and', 'the', 'multifractal', 'feature', 'of', 'flame', 'images', 'were', 'confirmed', 'further', 'analyses', 'identified', 'two', 'multifractal', 'parameters', 'the', 'minimum', 'and', 'maximum', 'singularity', 'alpha_min', 'and', 'alpha_max', 'serving', 'as', 'characteristic', 'parameters', 'of', 'the', 'multifractal', 'flames', 'these', 'two', 'characteristic', 'multifractal', 'parameters', 'vary', 'with', 'respect', 'to', 'different', 'experimental', 'conditions']] | [-0.0997214686556034, 0.1639879668605918, -0.1531991333489851, 0.0813050951072618, -0.01024596065607906, -0.17762347323081965, -0.0013006609636095335, 0.3521670565725181, -0.23415675149562787, -0.28893116060128204, 0.08015536062335947, -0.34020269109498497, -0.08803446659431705, 0.2384784528458456, -0.003421487154895967, 0.13967569034001878, 0.007200811638162946, -0.017656766389988643, -0.017083710370330525, -0.18991473435758138, 0.26114725146029705, 0.07448283210396767, 0.365140982885968, -0.02176302477040873, 0.05048930490354322, -0.042316523595836084, -0.09897099892863617, 0.04016862699832275, -0.17353584939824804, -0.006829007234389208, 0.19344373833814213, 0.024727284121942125, 0.19700779841843782, -0.37728731195389664, -0.2618489399099863, 0.04490029000685954, 0.1500857347657658, -0.014305939871536673, 0.026727163141707557, -0.3002562119564006, 0.0743400989943799, -0.08871050580527703, -0.11681706446029667, -0.023950061057957838, 0.02094437865395415, 0.06749765725613062, -0.25828728670219203, 0.12278563001649981, -0.009531938422576717, 0.1681134518420429, -0.07797696206824116, -0.08669496475683772, -0.05996472877450287, 0.1316147580172291, 0.055838108522639575, -0.04350528706585602, 0.20345493395514083, -0.09922558554659053, -0.048561422565055766, 0.3385296876384121, -0.06867843999566932, -0.11394745641264994, 0.15736130434351991, -0.17175926190783392, -0.08167729095692026, 0.16141123770964597, 0.1440255582455616, 0.06500083503735093, -0.17888246206767122, -0.0034784990173922677, 0.020417307468377194, 0.19174971261922763, 0.12025874585159263, -0.015841617617966992, 0.14441164224496428, 0.21428729151814896, -0.04505359153878295, 0.16121597856805958, -0.21268989974940372, -0.06628352721476541, -0.23707214488103143, -0.1426719401387568, -0.1897690390974705, 0.054463126229886666, -0.18584263720055427, -0.20152481424376228, 0.46606887128414975, 0.15660639211342162, 0.14709210042613294, 0.032969559230929556, 0.24190459744829051, 0.08136458727855121, 0.03856483566627469, 0.05794130578496546, 0.2173724821175642, 0.1279733688175186, 0.15925559596562722, -0.2009574504841541, 0.05280573438097424, 0.03266350522567079] |
710.5215 | Tensor factorization and Spin construction for Kac-Moody algebras | In this paper we discuss the "Factorization phenomenon" which occurs when a
representation of a Lie algebra is restricted to a subalgebra, and the result
factors into a tensor product of smaller representations of the subalgebra. We
analyze this phenomenon for symmetrizable Kac-Moody algebras (including
finite-dimensional, semi-simple Lie algebras). We present a few factorization
results for a general embedding of a symmetrizable Kac-Moody algebra into
another and provide an algebraic explanation for such a phenomenon using Spin
construction. We also give some application of these results for semi-simple
finite dimensional Lie algebras.
We extend the notion of Spin functor from finite-dimensional to symmetrizable
Kac-Moody algebras, which requires a very delicate treatment. We introduce a
certain category of orthogonal $\g$-representations for which, surprisingly,
the Spin functor gives a $\g$-representation in Bernstein-Gelfand-Gelfand
category $\O$. Also, for an integrable representation $\Spin$ produces an
integrable representation. We give the formula for the character of Spin
representation for the above category and work out the factorization results
for an embedding of a finite dimensional semi-simple Lie algebra into its
untwisted affine Lie algebra. Finally, we discuss classification of those
representations for which $\Spin$ is irreducible.
| math.RT math.CO | in this paper we discuss the factorization phenomenon which occurs when a representation of a lie algebra is restricted to a subalgebra and the result factors into a tensor product of smaller representations of the subalgebra we analyze this phenomenon for symmetrizable kacmoody algebras including finitedimensional semisimple lie algebras we present a few factorization results for a general embedding of a symmetrizable kacmoody algebra into another and provide an algebraic explanation for such a phenomenon using spin construction we also give some application of these results for semisimple finite dimensional lie algebras we extend the notion of spin functor from finitedimensional to symmetrizable kacmoody algebras which requires a very delicate treatment we introduce a certain category of orthogonal grepresentations for which surprisingly the spin functor gives a grepresentation in bernsteingelfandgelfand category o also for an integrable representation spin produces an integrable representation we give the formula for the character of spin representation for the above category and work out the factorization results for an embedding of a finite dimensional semisimple lie algebra into its untwisted affine lie algebra finally we discuss classification of those representations for which spin is irreducible | [['in', 'this', 'paper', 'we', 'discuss', 'the', 'factorization', 'phenomenon', 'which', 'occurs', 'when', 'a', 'representation', 'of', 'a', 'lie', 'algebra', 'is', 'restricted', 'to', 'a', 'subalgebra', 'and', 'the', 'result', 'factors', 'into', 'a', 'tensor', 'product', 'of', 'smaller', 'representations', 'of', 'the', 'subalgebra', 'we', 'analyze', 'this', 'phenomenon', 'for', 'symmetrizable', 'kacmoody', 'algebras', 'including', 'finitedimensional', 'semisimple', 'lie', 'algebras', 'we', 'present', 'a', 'few', 'factorization', 'results', 'for', 'a', 'general', 'embedding', 'of', 'a', 'symmetrizable', 'kacmoody', 'algebra', 'into', 'another', 'and', 'provide', 'an', 'algebraic', 'explanation', 'for', 'such', 'a', 'phenomenon', 'using', 'spin', 'construction', 'we', 'also', 'give', 'some', 'application', 'of', 'these', 'results', 'for', 'semisimple', 'finite', 'dimensional', 'lie', 'algebras', 'we', 'extend', 'the', 'notion', 'of', 'spin', 'functor', 'from', 'finitedimensional', 'to', 'symmetrizable', 'kacmoody', 'algebras', 'which', 'requires', 'a', 'very', 'delicate', 'treatment', 'we', 'introduce', 'a', 'certain', 'category', 'of', 'orthogonal', 'grepresentations', 'for', 'which', 'surprisingly', 'the', 'spin', 'functor', 'gives', 'a', 'grepresentation', 'in', 'bernsteingelfandgelfand', 'category', 'o', 'also', 'for', 'an', 'integrable', 'representation', 'spin', 'produces', 'an', 'integrable', 'representation', 'we', 'give', 'the', 'formula', 'for', 'the', 'character', 'of', 'spin', 'representation', 'for', 'the', 'above', 'category', 'and', 'work', 'out', 'the', 'factorization', 'results', 'for', 'an', 'embedding', 'of', 'a', 'finite', 'dimensional', 'semisimple', 'lie', 'algebra', 'into', 'its', 'untwisted', 'affine', 'lie', 'algebra', 'finally', 'we', 'discuss', 'classification', 'of', 'those', 'representations', 'for', 'which', 'spin', 'is', 'irreducible']] | [-0.15514175801684982, 0.059977163222777706, -0.09540375223089205, 0.05784074952335734, -0.18315834176334503, -0.1445248109754175, -0.04146558041010346, 0.37663543794892335, -0.3606938733841832, -0.15036202801979687, 0.12143566695801718, -0.17379500552779065, -0.16369208650369393, 0.20035020461502043, -0.13252933314437734, -0.10657461554724969, 0.08829187944065779, 0.1417322349821916, -0.16110094220524557, -0.23183003749490078, 0.43637684738802673, -0.04315110401780418, 0.24858582601269805, 0.036790900402947475, 0.16434495177021938, 0.03994100158543963, 0.018534340412895145, -0.04337522917378105, -0.12476426058779716, 0.12700870960558716, 0.38115685521257353, 0.047018385342763445, 0.19405230198753998, -0.3565729255910571, -0.07537234467500208, 0.16717319600039016, 0.19356883015532636, 0.11249332201642621, -0.06837446228355953, -0.29044182527026063, 0.06070960594194108, -0.2929003991235636, -0.13050549255904595, -0.11495487049622553, 0.06500912497408295, -0.1118534691680811, -0.2636633146143714, 0.03854089830481251, 0.14537663728635955, 0.13056818333846565, -0.14711567855648403, -0.12476087223591381, -0.03197107200486291, 0.06397274500938549, -0.10077291183222674, 0.0011177705931722333, 0.09909705277287255, -0.10413151054105439, -0.18419407504169563, 0.3717064691315356, 0.013588372182627944, -0.2479217194664862, 0.13250935067741298, -0.18449727048803316, -0.211211909841452, 0.09834290074282571, 0.09060249936178719, 0.10490684076457431, -0.046147800461576, 0.16992302053320024, -0.15059759068841996, -0.01957091646832659, 0.02923540962909005, 0.025440786106475186, 0.1602284062932564, 0.15647131910081952, 0.03260132048377081, 0.14672401001505359, 0.049106339664247475, -0.02403217524437136, -0.3545416503360397, -0.21751723943759171, -0.08573556854879778, 0.1671616228297353, -0.12546791470292526, -0.18817657222481152, 0.4450307162325388, 0.13928464365767707, 0.19971015273967122, 0.1526350251619557, 0.19017598999566154, 0.11507277696540481, 0.13134588454850019, 0.0261460347836347, 0.10430430541087653, 0.2996274953413951, -0.031165519175364784, -0.12362148435296197, -0.09374618266807183, 0.2311639197955006] |
710.5216 | NMR evidence for the persistence of spin-superlattice above the 1/8
magnetization plateau in SrCu2(BO3)2 | We present 11B NMR studies of the 2D frustrated dimer spin system SrCu2(BO3)2
in the field range 27-31 T covering the upper phase boundary of the 1/8
magnetization plateau, identified at 28.4 T. Our data provide a clear evidence
that above 28.4 T the spin-superlattice of the 1/8 plateau is modified but does
not melt even though the magnetization increases. Although this is precisely
what is expected for a supersolid phase, the microscopic nature of this new
phase is much more complex. We discuss the field-temperature phase diagram on
the basis of our NMR data.
| cond-mat.str-el cond-mat.mtrl-sci | we present 11b nmr studies of the 2d frustrated dimer spin system srcu2bo32 in the field range 2731 t covering the upper phase boundary of the 18 magnetization plateau identified at 284 t our data provide a clear evidence that above 284 t the spinsuperlattice of the 18 plateau is modified but does not melt even though the magnetization increases although this is precisely what is expected for a supersolid phase the microscopic nature of this new phase is much more complex we discuss the fieldtemperature phase diagram on the basis of our nmr data | [['we', 'present', '11b', 'nmr', 'studies', 'of', 'the', '2d', 'frustrated', 'dimer', 'spin', 'system', 'srcu2bo32', 'in', 'the', 'field', 'range', '2731', 't', 'covering', 'the', 'upper', 'phase', 'boundary', 'of', 'the', '18', 'magnetization', 'plateau', 'identified', 'at', '284', 't', 'our', 'data', 'provide', 'a', 'clear', 'evidence', 'that', 'above', '284', 't', 'the', 'spinsuperlattice', 'of', 'the', '18', 'plateau', 'is', 'modified', 'but', 'does', 'not', 'melt', 'even', 'though', 'the', 'magnetization', 'increases', 'although', 'this', 'is', 'precisely', 'what', 'is', 'expected', 'for', 'a', 'supersolid', 'phase', 'the', 'microscopic', 'nature', 'of', 'this', 'new', 'phase', 'is', 'much', 'more', 'complex', 'we', 'discuss', 'the', 'fieldtemperature', 'phase', 'diagram', 'on', 'the', 'basis', 'of', 'our', 'nmr', 'data']] | [-0.16560695671223777, 0.21631902518701998, -0.08418249762914282, 0.06647906001865309, -0.08272835576134001, -0.12035373811352443, 0.10890454578738501, 0.36463802025475084, -0.21797941366744356, -0.3072313635828013, 0.09622926909372488, -0.272055095973167, -0.09196674442067346, 0.19325908455759921, 0.02097860119364997, -0.017338594357344382, -0.00690456214509508, 0.03842393555114928, -0.1351286618415504, -0.2118232275280071, 0.24230867253735344, 0.011581535718621725, 0.25862923182269676, 0.06328765683599372, 0.027894901951398463, -0.03458039167069612, 0.08197099977034203, -0.003251500601107453, -0.20663649276026805, -0.0017238868192393094, 0.25250998905740996, 0.02781510972071122, 0.13950585415388675, -0.357315943972703, -0.19458082844899532, 0.0982737539217193, 0.1514694189635462, 0.13309493786011367, -0.04440724645556134, -0.23665795353875357, 0.03679680216071652, -0.10601063373875111, -0.11822507705321496, -0.08101835119676717, 0.022800671933664682, -0.04602340032207839, -0.22808373908195248, 0.12685993139909463, 0.1055509148244845, 0.1480807403193544, -0.09229395234650199, -0.15954106807723603, -0.04648740017449761, 0.03800401020735661, -0.031718068821801546, 0.13834327428621498, 0.12381044213481723, -0.11440624008846885, -0.08513455106777713, 0.33844179285571296, -0.03295695430975645, -0.03667305482234409, 0.15549437901342011, -0.2440082023831758, -0.14808048887650155, 0.19628720700820076, 0.07497100610325629, 0.11546110309551451, -0.1126679214946133, 0.04246446032552643, -0.0607738545984327, 0.2431690830023999, -0.016619968594626545, 0.018316661080771544, 0.2095143600104456, 0.21232668344833036, 0.025094220439526947, 0.16663363317344734, -0.16020509350470247, -0.12276437186061386, -0.2734814248880015, -0.1837611062194597, -0.20347131790836004, 0.05025178479650578, -0.1015740460369419, -0.15574947917001677, 0.38597815955414416, 0.15193087860268165, 0.19835814237198296, -0.02061152049994215, 0.21673627580179178, 0.09274875426397441, 0.048205694163891866, 0.04121591863123343, 0.27423993114659445, 0.13842784485561735, 0.1951223678163629, -0.28395354162227915, 0.07584965723304157, -0.017797575609639606] |
710.5217 | Waiting and Residence Times of Brownian Interface Fluctuations | We report on the residence times of capillary waves above a given height $h$
and on the typical waiting time in between such fluctuations. The measurements
were made on phase separated colloid-polymer systems by laser scanning confocal
microscopy. Due to the Brownian character of the process, the stochastics vary
with the chosen measurement interval $\Delta t$. In experiments, the discrete
scanning times are a practical cutoff and we are able to measure the waiting
time as a function of this cutoff. The measurement interval dependence of the
observed waiting and residence times turns out to be solely determined by the
time dependent height-height correlation function $g(t)$. We find excellent
agreement with the theory presented here along with the experiments.
| cond-mat.stat-mech cond-mat.soft | we report on the residence times of capillary waves above a given height h and on the typical waiting time in between such fluctuations the measurements were made on phase separated colloidpolymer systems by laser scanning confocal microscopy due to the brownian character of the process the stochastics vary with the chosen measurement interval delta t in experiments the discrete scanning times are a practical cutoff and we are able to measure the waiting time as a function of this cutoff the measurement interval dependence of the observed waiting and residence times turns out to be solely determined by the time dependent heightheight correlation function gt we find excellent agreement with the theory presented here along with the experiments | [['we', 'report', 'on', 'the', 'residence', 'times', 'of', 'capillary', 'waves', 'above', 'a', 'given', 'height', 'h', 'and', 'on', 'the', 'typical', 'waiting', 'time', 'in', 'between', 'such', 'fluctuations', 'the', 'measurements', 'were', 'made', 'on', 'phase', 'separated', 'colloidpolymer', 'systems', 'by', 'laser', 'scanning', 'confocal', 'microscopy', 'due', 'to', 'the', 'brownian', 'character', 'of', 'the', 'process', 'the', 'stochastics', 'vary', 'with', 'the', 'chosen', 'measurement', 'interval', 'delta', 't', 'in', 'experiments', 'the', 'discrete', 'scanning', 'times', 'are', 'a', 'practical', 'cutoff', 'and', 'we', 'are', 'able', 'to', 'measure', 'the', 'waiting', 'time', 'as', 'a', 'function', 'of', 'this', 'cutoff', 'the', 'measurement', 'interval', 'dependence', 'of', 'the', 'observed', 'waiting', 'and', 'residence', 'times', 'turns', 'out', 'to', 'be', 'solely', 'determined', 'by', 'the', 'time', 'dependent', 'heightheight', 'correlation', 'function', 'gt', 'we', 'find', 'excellent', 'agreement', 'with', 'the', 'theory', 'presented', 'here', 'along', 'with', 'the', 'experiments']] | [-0.13044509177777072, 0.19781356790893467, -0.11197560188211814, 0.040094452500791494, 0.030081331291619468, -0.11062784831454399, 0.08074557180017498, 0.42844292096511905, -0.2538877211573745, -0.3213538987358578, 0.07060926514990754, -0.312533126032653, -0.07523865190123309, 0.20586856108691012, 0.00288860931084687, 0.08578317955590221, 0.007657623477084484, 0.0159286197721019, -0.08368431057824026, -0.20139638024984913, 0.22985245604772403, 0.08729184107432346, 0.26382175651809375, 0.06985516465824693, 0.11910866852067098, 0.03169448486482333, -0.05650684385396102, 0.016616141822721277, -0.20274326758568778, 0.01383007992403347, 0.20219925549976966, 0.0022137472523423305, 0.22233648607976922, -0.44976803436562296, -0.19910523997024954, 0.09854277582181727, 0.10853940545886505, 0.028792293137722032, -0.01252043021729357, -0.3114734539652572, 0.01659222977517658, -0.07132675567594897, -0.09568693914485923, -0.015764382511314724, 0.07556236248870357, 0.08759179027719784, -0.24104710565410367, 0.12858438024007784, -0.030967874175618488, 0.06592119249570019, -0.029100554780017177, -0.06255756468832993, 0.012012566295021973, 0.11091820919101651, 0.0796496760050723, 0.05322777663803652, 0.1839556252904737, -0.05008113175873183, -0.07868500741760191, 0.3447392460647501, -0.11240131780896492, -0.14915124927681653, 0.1666239726165419, -0.20979297166971975, -0.07392079740794015, 0.13243747567131864, 0.11969648211403992, 0.13692058078522065, -0.12143810005064178, 0.04666140369392008, -0.008052219186729494, 0.20372019730070057, 0.10541730705539093, 0.0011879552087620362, 0.16290589000935815, 0.17608117921857022, 0.030161554690356515, 0.09686305888775862, -0.139060040422277, -0.10305851985927389, -0.32547415004057045, -0.12486768831663272, -0.2174936394449793, 0.055989327341584225, -0.07347048315801169, -0.12562055370201525, 0.38592812789901465, 0.13151711488471313, 0.2470301534244869, 0.08302297263930575, 0.24176451521573447, 0.1747828829356571, 0.0405606777620494, 0.006075822292365322, 0.18562837342629915, 0.09902299670776461, 0.11889516618963675, -0.26174504032843754, 0.0909171933543031, -0.005738877566108683] |
710.5218 | Local linear regression for functional data | We study a non linear regression model with functional data as inputs and
scalar response. We propose a pointwise estimate of the regression function
that maps a Hilbert space onto the real line by a local linear method. We
provide the asymptotic mean square error. Computations involve a linear inverse
problem as well as a representation of the small ball probability of the data
and are based on recent advances in this area. The rate of convergence of our
estimate outperforms those already obtained in the literature on this model.
| math.ST stat.TH | we study a non linear regression model with functional data as inputs and scalar response we propose a pointwise estimate of the regression function that maps a hilbert space onto the real line by a local linear method we provide the asymptotic mean square error computations involve a linear inverse problem as well as a representation of the small ball probability of the data and are based on recent advances in this area the rate of convergence of our estimate outperforms those already obtained in the literature on this model | [['we', 'study', 'a', 'non', 'linear', 'regression', 'model', 'with', 'functional', 'data', 'as', 'inputs', 'and', 'scalar', 'response', 'we', 'propose', 'a', 'pointwise', 'estimate', 'of', 'the', 'regression', 'function', 'that', 'maps', 'a', 'hilbert', 'space', 'onto', 'the', 'real', 'line', 'by', 'a', 'local', 'linear', 'method', 'we', 'provide', 'the', 'asymptotic', 'mean', 'square', 'error', 'computations', 'involve', 'a', 'linear', 'inverse', 'problem', 'as', 'well', 'as', 'a', 'representation', 'of', 'the', 'small', 'ball', 'probability', 'of', 'the', 'data', 'and', 'are', 'based', 'on', 'recent', 'advances', 'in', 'this', 'area', 'the', 'rate', 'of', 'convergence', 'of', 'our', 'estimate', 'outperforms', 'those', 'already', 'obtained', 'in', 'the', 'literature', 'on', 'this', 'model']] | [-0.06501748766750097, -0.007551357028488484, -0.08065982403026686, 0.06681785636012338, -0.05176357448928886, -0.08668266672434079, 0.05646917569037113, 0.35633820450554293, -0.26352712213993074, -0.2576056892776655, 0.18088030129308916, -0.2817290920660728, -0.20201742460356198, 0.2189549825619906, -0.06794036765479379, 0.1258958086060981, 0.06258055437873634, 0.06380967463968167, -0.11043687859912299, -0.2622970111939746, 0.3167640597456031, 0.045596059720264745, 0.25889670528542613, -0.02100486897268436, 0.13972350121217056, 0.04256565480286049, -0.052749626538974956, 0.029450671938442006, -0.13396246671303136, 0.1716403900529258, 0.22766544338729647, 0.1319169069933802, 0.3291236762785249, -0.3930514570222133, -0.23813904325167337, 0.11841789107355806, 0.0979042754896606, 0.09238042552541527, -0.04582793842483726, -0.2602985372766852, 0.043660043495603734, -0.14648148491202542, -0.0860693814077725, -0.08883377395363318, -0.03339076936244965, 0.06276044426744597, -0.3193180186557584, 0.11525017084139917, 0.059208212804514916, 0.07794089073625704, -0.07521602573494117, -0.13238365363536608, 0.02244494147081342, 0.09428818866403567, 0.04499556152141951, 0.06683066520684709, 0.12233264143061306, -0.11323804783945282, -0.10397716799052432, 0.3205078569137388, -0.1431546775514208, -0.25571965678957187, 0.1498654970097252, -0.14169197959773655, -0.10883822679881834, 0.08918934581387374, 0.2460630404452483, 0.12509176150585213, -0.11945692054513428, 0.12935847027563593, -0.11601965595554146, 0.13457570174553743, -0.009750653896480799, 0.006310704309079382, 0.13976621999301844, 0.1790768304425809, 0.08898813944930832, 0.1470698879617784, -0.10791101902723313, -0.08344603676555885, -0.33905577612006, -0.13910803420262205, -0.21549949700840645, 0.005941702311651574, -0.11636383866651967, -0.20109995754642618, 0.38615251820430985, 0.1006359142665234, 0.2779333071110563, 0.14586034921101398, 0.3137363599820269, 0.1416377060348168, 0.055453348511623014, 0.06712861253052121, 0.20082879732880327, 0.1308757118932489, 0.06603107270784676, -0.193690798100498, 0.05708224377982939, 0.10202193511649967] |
710.5219 | Near-IR internetwork spectro-polarimetry at different heliocentric
angles | The analysis of near infrared spectropolarimetric data at the internetwork at
different regions on the solar surface could offer constraints to reject
current modeling of these quiet areas.
We present spectro-polarimetric observations of very quiet regions for
different values of the heliocentric angle for the Fe I lines at 1.56 micron,
from disc centre to positions close to the limb. The spatial resolution of the
data is 0.7-1". We analyze direct observable properties of the Stokes profiles
as the amplitude of circular and linear polarization as well as the total
degree of polarization. Also the area and amplitude asymmetries are studied.
We do not find any significant variation of the properties of the
polarimetric signals with the heliocentric angle. This means that the magnetism
of the solar internetwork remains the same regardless of the position on the
solar disc. This observational fact discards the possibility of modeling the
internetwork as a Network-like scenario. The magnetic elements of internetwork
areas seem to be isotropically distributed when observed at our spatial
resolution.
| astro-ph | the analysis of near infrared spectropolarimetric data at the internetwork at different regions on the solar surface could offer constraints to reject current modeling of these quiet areas we present spectropolarimetric observations of very quiet regions for different values of the heliocentric angle for the fe i lines at 156 micron from disc centre to positions close to the limb the spatial resolution of the data is 071 we analyze direct observable properties of the stokes profiles as the amplitude of circular and linear polarization as well as the total degree of polarization also the area and amplitude asymmetries are studied we do not find any significant variation of the properties of the polarimetric signals with the heliocentric angle this means that the magnetism of the solar internetwork remains the same regardless of the position on the solar disc this observational fact discards the possibility of modeling the internetwork as a networklike scenario the magnetic elements of internetwork areas seem to be isotropically distributed when observed at our spatial resolution | [['the', 'analysis', 'of', 'near', 'infrared', 'spectropolarimetric', 'data', 'at', 'the', 'internetwork', 'at', 'different', 'regions', 'on', 'the', 'solar', 'surface', 'could', 'offer', 'constraints', 'to', 'reject', 'current', 'modeling', 'of', 'these', 'quiet', 'areas', 'we', 'present', 'spectropolarimetric', 'observations', 'of', 'very', 'quiet', 'regions', 'for', 'different', 'values', 'of', 'the', 'heliocentric', 'angle', 'for', 'the', 'fe', 'i', 'lines', 'at', '156', 'micron', 'from', 'disc', 'centre', 'to', 'positions', 'close', 'to', 'the', 'limb', 'the', 'spatial', 'resolution', 'of', 'the', 'data', 'is', '071', 'we', 'analyze', 'direct', 'observable', 'properties', 'of', 'the', 'stokes', 'profiles', 'as', 'the', 'amplitude', 'of', 'circular', 'and', 'linear', 'polarization', 'as', 'well', 'as', 'the', 'total', 'degree', 'of', 'polarization', 'also', 'the', 'area', 'and', 'amplitude', 'asymmetries', 'are', 'studied', 'we', 'do', 'not', 'find', 'any', 'significant', 'variation', 'of', 'the', 'properties', 'of', 'the', 'polarimetric', 'signals', 'with', 'the', 'heliocentric', 'angle', 'this', 'means', 'that', 'the', 'magnetism', 'of', 'the', 'solar', 'internetwork', 'remains', 'the', 'same', 'regardless', 'of', 'the', 'position', 'on', 'the', 'solar', 'disc', 'this', 'observational', 'fact', 'discards', 'the', 'possibility', 'of', 'modeling', 'the', 'internetwork', 'as', 'a', 'networklike', 'scenario', 'the', 'magnetic', 'elements', 'of', 'internetwork', 'areas', 'seem', 'to', 'be', 'isotropically', 'distributed', 'when', 'observed', 'at', 'our', 'spatial', 'resolution']] | [-0.10703708652136437, 0.12631741602740743, -0.012630152592764182, 0.051463158181457615, -0.06258331952507006, -0.045074962827322235, 0.036798547305550204, 0.40306267887353897, -0.2527514268479803, -0.3653073538204326, 0.08492148565950201, -0.27307525473263333, -0.07520791797843926, 0.17511799598372924, -0.04242515846648637, -0.019241916234793332, 0.040448963981094384, -0.015638228171669384, -0.05859718832105179, -0.17801922818317134, 0.2694855871398057, 0.11416518594247892, 0.24513874717145775, 0.0039783622302553235, 0.051578994534964506, -0.06652075552710277, -0.05664841733489405, 0.052050098477561466, -0.1027339093731665, 0.08765841082272613, 0.2395913145997945, 0.12139396309503354, 0.18713366980322035, -0.4122516702312757, -0.2112166545172359, 0.04224938898730804, 0.1482354715713026, 0.0628950541072032, 0.0008455705294823822, -0.2537234844859032, 0.08965939892291584, -0.05724567911692087, -0.16698047554887394, 0.03738639180493705, 0.04204840918674189, 0.02582310025635011, -0.25587297332856584, 0.07461565243035746, 0.008767759126802797, 0.14954107533318592, -0.0979262170573587, -0.12553244455279233, -0.09010482959668425, 0.15648045930960078, 0.06935598377877956, 0.0026111745357732564, 0.1563876535250422, -0.12147847799146, -0.04852599872221403, 0.35408758500262216, -0.0500651717720115, -0.08884524726308882, 0.18725373393801206, -0.2691254730226801, -0.1320474708904786, 0.15061391680090525, 0.18806304480223096, 0.12351785800351268, -0.08807448474322241, 0.029901337088085712, -0.06692680759793695, 0.19202602782341488, 0.06415219589355675, 0.09237669683746336, 0.3180544333970722, 0.09493939620579647, 0.0692381778074538, 0.0722345471063711, -0.28957405141006937, -0.04262797677040319, -0.2990782743494492, -0.09922701116267811, -0.12502293228171765, 0.03227600704079069, -0.1387239888375488, -0.1518827180706841, 0.42131571380613264, 0.15796016157221268, 0.22070050421718726, 0.021543713093406577, 0.3291268466807464, 0.06653547673280734, 0.08760326113004019, 0.08662610656910522, 0.341697671368499, 0.14780924522920566, 0.1881173119168071, -0.24351445043815628, 0.08551664541420691, -0.024634999683236375] |
710.522 | The X-ray emission of the most luminous 3CR radio sources | We investigate the X-ray properties of the most luminous radio sources in the
3CR catalogue, in order to assess if they are similar to the most luminous
radio quiet quasars, for instance in the X-ray normalization with respect to
the optical luminosity, or in the distribution of the absorption column
density. We have selected the (optically identified) 3CR radio sources whose
178-MHz monochromatic luminosity lies in the highest factor-of-three bin. The 4
most luminous objects had already been observed in X rays. Of the remaining 16,
we observed with XMM-Newton 4 randomly chosen, optical type 1s, and 4 type 2s.
All targets have been detected. The optical-to-Xray spectral index, alphaox,
can be computed only for the type 1s and, in agreement with previous studies,
is found to be flatter than in radio quiet quasars of similar luminosity.
However, the Compton thin type 2s have an absorption corrected X-ray luminosity
systematically lower than the type 1s, by a factor which makes them consistent
with the radio quiet alphaox. Within the limited statistics, the Compton thick
objects seem to have a reflected component more luminous than the Compton thin
ones. The extra X-ray component observed in type 1 radio loud quasars is beamed
for intrinsic causes, and is not collimated by the absorbing torus as is the
case for the (intrinsically isotropic) disk emission. The extra component can
be associated with a relativistic outflow, provided that the flow opening angle
and the Doppler beaming factor are 1/5 - 1/7 radians.
| astro-ph | we investigate the xray properties of the most luminous radio sources in the 3cr catalogue in order to assess if they are similar to the most luminous radio quiet quasars for instance in the xray normalization with respect to the optical luminosity or in the distribution of the absorption column density we have selected the optically identified 3cr radio sources whose 178mhz monochromatic luminosity lies in the highest factorofthree bin the 4 most luminous objects had already been observed in x rays of the remaining 16 we observed with xmmnewton 4 randomly chosen optical type 1s and 4 type 2s all targets have been detected the opticaltoxray spectral index alphaox can be computed only for the type 1s and in agreement with previous studies is found to be flatter than in radio quiet quasars of similar luminosity however the compton thin type 2s have an absorption corrected xray luminosity systematically lower than the type 1s by a factor which makes them consistent with the radio quiet alphaox within the limited statistics the compton thick objects seem to have a reflected component more luminous than the compton thin ones the extra xray component observed in type 1 radio loud quasars is beamed for intrinsic causes and is not collimated by the absorbing torus as is the case for the intrinsically isotropic disk emission the extra component can be associated with a relativistic outflow provided that the flow opening angle and the doppler beaming factor are 15 17 radians | [['we', 'investigate', 'the', 'xray', 'properties', 'of', 'the', 'most', 'luminous', 'radio', 'sources', 'in', 'the', '3cr', 'catalogue', 'in', 'order', 'to', 'assess', 'if', 'they', 'are', 'similar', 'to', 'the', 'most', 'luminous', 'radio', 'quiet', 'quasars', 'for', 'instance', 'in', 'the', 'xray', 'normalization', 'with', 'respect', 'to', 'the', 'optical', 'luminosity', 'or', 'in', 'the', 'distribution', 'of', 'the', 'absorption', 'column', 'density', 'we', 'have', 'selected', 'the', 'optically', 'identified', '3cr', 'radio', 'sources', 'whose', '178mhz', 'monochromatic', 'luminosity', 'lies', 'in', 'the', 'highest', 'factorofthree', 'bin', 'the', '4', 'most', 'luminous', 'objects', 'had', 'already', 'been', 'observed', 'in', 'x', 'rays', 'of', 'the', 'remaining', '16', 'we', 'observed', 'with', 'xmmnewton', '4', 'randomly', 'chosen', 'optical', 'type', '1s', 'and', '4', 'type', '2s', 'all', 'targets', 'have', 'been', 'detected', 'the', 'opticaltoxray', 'spectral', 'index', 'alphaox', 'can', 'be', 'computed', 'only', 'for', 'the', 'type', '1s', 'and', 'in', 'agreement', 'with', 'previous', 'studies', 'is', 'found', 'to', 'be', 'flatter', 'than', 'in', 'radio', 'quiet', 'quasars', 'of', 'similar', 'luminosity', 'however', 'the', 'compton', 'thin', 'type', '2s', 'have', 'an', 'absorption', 'corrected', 'xray', 'luminosity', 'systematically', 'lower', 'than', 'the', 'type', '1s', 'by', 'a', 'factor', 'which', 'makes', 'them', 'consistent', 'with', 'the', 'radio', 'quiet', 'alphaox', 'within', 'the', 'limited', 'statistics', 'the', 'compton', 'thick', 'objects', 'seem', 'to', 'have', 'a', 'reflected', 'component', 'more', 'luminous', 'than', 'the', 'compton', 'thin', 'ones', 'the', 'extra', 'xray', 'component', 'observed', 'in', 'type', '1', 'radio', 'loud', 'quasars', 'is', 'beamed', 'for', 'intrinsic', 'causes', 'and', 'is', 'not', 'collimated', 'by', 'the', 'absorbing', 'torus', 'as', 'is', 'the', 'case', 'for', 'the', 'intrinsically', 'isotropic', 'disk', 'emission', 'the', 'extra', 'component', 'can', 'be', 'associated', 'with', 'a', 'relativistic', 'outflow', 'provided', 'that', 'the', 'flow', 'opening', 'angle', 'and', 'the', 'doppler', 'beaming', 'factor', 'are', '15', '17', 'radians']] | [-0.03562028977345219, 0.13824244653574447, -0.004112524985886958, 0.13900997016902025, -0.10694095871924442, -0.1171835201336261, 0.010981450101113593, 0.5236926170484144, -0.1341731616215096, -0.3425675511124962, 0.07632045340201608, -0.3470817075890242, 0.03013266079336861, 0.20303635905462328, -0.012963477435654827, -0.020611141912392057, -0.02813775438378204, -0.07858257641521643, -0.04137067442370237, -0.20335831200437887, 0.2960256089047738, 0.07975697542578743, 0.20837885094093805, -0.07110589721705765, 0.026286148530792218, -0.07872816753022525, -0.09569097955720689, 0.0074689141365376355, -0.044049616462262395, 0.07366321905497081, 0.2621618726936986, 0.08141368077625402, 0.20138936355253872, -0.331444677129882, -0.22643145581099147, 0.11022204685272002, 0.1952134472850178, -0.012088007946042534, -0.01269852339832958, -0.23776798413125608, 0.09519568245515836, -0.18987173496517448, -0.18678477324773463, 0.10518074492942922, 0.07095116233567195, 0.023104882635157174, -0.1792667867000481, 0.1117119163369798, 0.011027762405479289, 0.043145219524205684, -0.11666149245099906, -0.09468033788725734, -0.038029403608216314, 0.03430460747236348, 0.037647225905437856, 0.07647623611680632, 0.1574361361639232, -0.14136808120968694, -0.09144345341744471, 0.4014945656251238, -0.015883517436794843, -0.01151232386235984, 0.178322354312606, -0.23660055868213578, -0.17797620896706168, 0.2254056009635025, 0.11177809030287994, 0.11195755603780248, -0.11032130266539752, -0.012190037162746397, -0.040239132754979846, 0.25392637252142386, 0.05238958945478864, 0.11002252959733597, 0.2395787255268316, 0.07227318860324365, 0.010262824081796773, 0.12370501585086162, -0.2297838986959375, 0.06078420350784246, -0.24923924697106895, -0.060097505416417, -0.14518080324704322, 0.14522953788299656, -0.12691074226179863, -0.12067775963805616, 0.3499599853112381, 0.0614799718396282, 0.20569882325314898, 0.02319645870474585, 0.2976553903778597, 0.16108719734997698, 0.10866518660391472, 0.16232540873211943, 0.37522618492342985, 0.14439348501666469, 0.09143774207854853, -0.1782126252767535, 0.09980835200439454, 0.01154778369806935] |
710.5221 | A recipe for making materials with negative refraction in acoustics | A recipe is given for making materials with negative refraction in acoustics,
i.e., materials in which the group velocity is directed opposite to the phase
velocity.
The recipe consists of injecting many small particles into a bounded domain,
filled with a material whose refraction coefficient is known. The number of
small particles to be injected per unit volume around any point $x$ is
calculated as well as the boundary impedances of the embedded particles.
| math-ph math.MP | a recipe is given for making materials with negative refraction in acoustics ie materials in which the group velocity is directed opposite to the phase velocity the recipe consists of injecting many small particles into a bounded domain filled with a material whose refraction coefficient is known the number of small particles to be injected per unit volume around any point x is calculated as well as the boundary impedances of the embedded particles | [['a', 'recipe', 'is', 'given', 'for', 'making', 'materials', 'with', 'negative', 'refraction', 'in', 'acoustics', 'ie', 'materials', 'in', 'which', 'the', 'group', 'velocity', 'is', 'directed', 'opposite', 'to', 'the', 'phase', 'velocity', 'the', 'recipe', 'consists', 'of', 'injecting', 'many', 'small', 'particles', 'into', 'a', 'bounded', 'domain', 'filled', 'with', 'a', 'material', 'whose', 'refraction', 'coefficient', 'is', 'known', 'the', 'number', 'of', 'small', 'particles', 'to', 'be', 'injected', 'per', 'unit', 'volume', 'around', 'any', 'point', 'x', 'is', 'calculated', 'as', 'well', 'as', 'the', 'boundary', 'impedances', 'of', 'the', 'embedded', 'particles']] | [-0.14512319419835065, 0.2389606785633274, -0.025898394653120556, -0.05187079574082147, -0.08518399687081173, -0.14211155087183658, -0.004180392343236285, 0.35974313137499064, -0.28017063150685784, -0.309590815390284, 0.06868037544631374, -0.3172311700276426, -0.07612187203926009, 0.19455685481001195, -0.03477263095555827, 0.018322932061965804, -0.013011298142373562, 0.05568257404642331, -0.01847592631757662, -0.16276838310924988, 0.2845680084192773, 0.01695978213605043, 0.22588510314204, 0.0469542161397938, 0.15126727279779073, -0.01850108978514736, 0.020503946076575165, 0.08897316045555714, -0.07205559770345399, 0.05709763804475802, 0.21984067639789065, -0.016646178225307045, 0.2492008659063612, -0.4003833527550907, -0.2687097730970866, 0.1151037420589804, 0.12950618582702167, 0.08033173836333476, -0.10166815264509185, -0.25098216983590377, 0.0701569395983038, -0.11091798513095726, -0.19349331232542927, 0.036949315316018624, 0.05202943809657685, 0.018856264493503683, -0.2586533817890528, 0.05297099747317466, 0.04582727691819388, 0.014728221295061647, -0.09088806051609886, -0.11918188264039722, -0.07374198181315551, 0.12799366070995913, 0.019288586584750463, 0.0399369013344718, 0.16451425308588188, -0.13822473199232607, -0.02254777911396043, 0.4667732424883021, -0.043176827650215174, -0.24720224398314147, 0.13810166370476018, -0.1824486441910267, 0.004370176359205632, 0.20077142967666323, 0.19513730417836356, 0.11351398715900408, -0.10104744166538522, 0.04934095061459654, -0.05816780730635179, 0.18062101658063978, 0.08733985523970143, -0.024866186368681892, 0.259171298579187, 0.16237061217779647, 0.060168920618928715, 0.15962523747805027, -0.07341982420168917, -0.036202969029545784, -0.31346976613575545, -0.22988534678478498, -0.2635380779078381, 0.044822957467388465, -0.11008619447238743, -0.23558652865215884, 0.34912619206148227, 0.06317852208441174, 0.22645142961394144, 0.0012899051259926244, 0.31048272600447807, 0.12214662028615035, 0.09599393635761698, 0.08813285249965014, 0.19001700392471174, 0.1438456340567083, 0.08954433656952067, -0.1296708761286494, 0.07359956537146826, 0.06536411746413717] |
710.5222 | Derivation of a Convection Process in a Steady Diffusion-Transfer
Problem by Homogenization | We study the homogenization of a steady diffusion equation in a highly
heterogeneous medium made of two subregions separated by a periodic barrier
through which the flow is proportional to the jump of the temperature by a
layer conductance of the same order of magnitude of the materials in
consideration. The macroscopic governing equations and the effective
conductivity of the homogenized model are obtained by means of the two scale
convergence technique. We show that under some hypothesis the homogenized
systems contain convective terms of order one.
| math.AP | we study the homogenization of a steady diffusion equation in a highly heterogeneous medium made of two subregions separated by a periodic barrier through which the flow is proportional to the jump of the temperature by a layer conductance of the same order of magnitude of the materials in consideration the macroscopic governing equations and the effective conductivity of the homogenized model are obtained by means of the two scale convergence technique we show that under some hypothesis the homogenized systems contain convective terms of order one | [['we', 'study', 'the', 'homogenization', 'of', 'a', 'steady', 'diffusion', 'equation', 'in', 'a', 'highly', 'heterogeneous', 'medium', 'made', 'of', 'two', 'subregions', 'separated', 'by', 'a', 'periodic', 'barrier', 'through', 'which', 'the', 'flow', 'is', 'proportional', 'to', 'the', 'jump', 'of', 'the', 'temperature', 'by', 'a', 'layer', 'conductance', 'of', 'the', 'same', 'order', 'of', 'magnitude', 'of', 'the', 'materials', 'in', 'consideration', 'the', 'macroscopic', 'governing', 'equations', 'and', 'the', 'effective', 'conductivity', 'of', 'the', 'homogenized', 'model', 'are', 'obtained', 'by', 'means', 'of', 'the', 'two', 'scale', 'convergence', 'technique', 'we', 'show', 'that', 'under', 'some', 'hypothesis', 'the', 'homogenized', 'systems', 'contain', 'convective', 'terms', 'of', 'order', 'one']] | [-0.15967389435310655, 0.13564393895239324, -0.07577801454041538, -0.002114894838693241, -0.00223048303233481, -0.07305992322160337, 0.012569269598943406, 0.3121670052494811, -0.3172023832455449, -0.27650941475883295, 0.12789267945724228, -0.2704061101342621, -0.13213727019470314, 0.1737017540405665, 0.02007352676371048, 0.07536474952538466, 0.02906735827504047, 0.01110422263328714, -0.03980228213604069, -0.22940696410074746, 0.36041380028272496, -0.02574673367814086, 0.2813944599494852, 0.03266958583175772, 0.1247812278860452, -0.0637504403350939, -0.006221878406559599, 0.09474747561603442, -0.14504766147679063, 0.12158688788312948, 0.1760550093483822, -0.033573069347432635, 0.27781175074820547, -0.45470827635934297, -0.2515543599602306, 0.024282358522559035, 0.13339984037474484, 0.09682381555475508, -0.001622161881505758, -0.24242978123412734, 0.06471614277621882, -0.13834090995998388, -0.16172487615746842, -0.032588326447140215, -0.015268354103954017, 0.05213033861544882, -0.26618099613008145, 0.12926201812017055, 0.06309047616863002, 0.03046487629327966, -0.11699099634806144, -0.08413265018199367, -0.03105542920101648, 0.11035426195989224, 0.07166441262769245, -0.06086600060981495, 0.13023638096370402, -0.16254200129140833, -0.027179505627859254, 0.39585531014820624, -0.11356030170398967, -0.2124953895068631, 0.16456756195931257, -0.1583092463759427, -0.036770156729195654, 0.1816391967766886, 0.1462094195765154, 0.12497691773199315, -0.22273712613801847, 0.03901235784883022, -0.031581496953664495, 0.16071863763901437, 0.06668524357929141, -0.005467181383021946, 0.16183236076485838, 0.2058369123601708, 0.06791322229794045, 0.1561596161510592, -0.06368626021491043, -0.10080991664516001, -0.32492879304992056, -0.1677198007210404, -0.18605189971979066, 0.06034360148398013, -0.14367466672419318, -0.20952014487515064, 0.4060349487110801, 0.16271035498457737, 0.1850770802568944, 0.006561240190693617, 0.24793019098625785, 0.17757906612201496, 0.05553960477419455, 0.07311725566142249, 0.23692474898450003, 0.17617673731018285, 0.13238713893525558, -0.26058226384372374, 0.09868084376506593, 0.08903093394373768] |
710.5223 | Phase space deformation of a trapped dipolar Fermi gas | We consider a system of quantum degenerate spin polarized fermions in a
harmonic trap at zero temperature, interacting via dipole-dipole forces. We
introduce a variational Wigner function to describe the deformation and
compression of the Fermi gas in phase space and use it to examine the stability
of the system. We emphasize the important roles played by the Fock exchange
term of the dipolar interaction which results in a non-spherical Fermi surface.
| cond-mat.other | we consider a system of quantum degenerate spin polarized fermions in a harmonic trap at zero temperature interacting via dipoledipole forces we introduce a variational wigner function to describe the deformation and compression of the fermi gas in phase space and use it to examine the stability of the system we emphasize the important roles played by the fock exchange term of the dipolar interaction which results in a nonspherical fermi surface | [['we', 'consider', 'a', 'system', 'of', 'quantum', 'degenerate', 'spin', 'polarized', 'fermions', 'in', 'a', 'harmonic', 'trap', 'at', 'zero', 'temperature', 'interacting', 'via', 'dipoledipole', 'forces', 'we', 'introduce', 'a', 'variational', 'wigner', 'function', 'to', 'describe', 'the', 'deformation', 'and', 'compression', 'of', 'the', 'fermi', 'gas', 'in', 'phase', 'space', 'and', 'use', 'it', 'to', 'examine', 'the', 'stability', 'of', 'the', 'system', 'we', 'emphasize', 'the', 'important', 'roles', 'played', 'by', 'the', 'fock', 'exchange', 'term', 'of', 'the', 'dipolar', 'interaction', 'which', 'results', 'in', 'a', 'nonspherical', 'fermi', 'surface']] | [-0.1921179979310384, 0.22026241958115456, -0.09383590207047139, 0.08614470265133099, 0.010722403857572418, -0.10083304293867615, 0.033893967095840104, 0.3507176456041634, -0.27194761408544665, -0.22349113668315113, -0.01715409566693577, -0.2686234933143068, -0.1394000424253237, 0.14303634201900828, 0.0469103064129336, 0.017754777619201276, 0.03162370709469542, 0.006541275011841208, -0.09221045861745046, -0.23619781873680445, 0.40322046333716977, 0.04542780909266892, 0.24899107596785244, 0.08587994490517303, 0.11943822505418211, 0.07612860957548644, 0.06635594649964736, -0.03149980674667555, -0.1433876671621369, 0.10964327421970665, 0.1926398305359827, -0.06425305778975599, 0.24833064267618787, -0.43100056336778736, -0.21465441113428418, 0.0715541514671511, 0.10937607559996347, 0.15412862617166764, -0.04358308117500403, -0.29491744097322226, -0.08717916614518294, -0.22567421755391276, -0.20129064392595966, -0.12996831386246616, -0.007875315107715627, 0.027228178320607793, -0.2151127498752127, 0.10030523629676383, 0.10015744824583332, 0.05221277503814134, -0.1023466535746896, -0.05107156101601302, -0.02221390304394946, 0.08104765472752559, 0.01403501940108577, 0.048391468493112676, 0.14907128981334003, -0.17101244389778003, -0.05107813898939639, 0.4050606595378162, -0.12260299364182477, -0.20876255213645184, 0.18377589352247822, -0.16886615752527076, -0.09112357019653751, 0.11785636725835502, 0.19605770130227837, 0.06059483249878718, -0.1061101965735563, 0.10260455388439975, 0.007221027924161818, 0.13787316216621548, 0.054515083886346676, 0.018834215776425682, 0.2706433230648852, 0.15189770730729732, 0.06811966847938795, 0.20868572331770943, -0.12018800587652044, -0.1274057085522347, -0.28859858302813435, -0.19506361855504414, -0.22831561137960912, 0.033410148054827005, -0.016429410548476478, -0.16647036237797389, 0.38744860035755363, 0.11018526160235827, 0.19357442355249077, -0.05532805924465518, 0.2551197113288153, 0.11221398265075146, 0.04435036713483795, 0.02351870538647442, 0.278081612512728, 0.18091118128116554, 0.07563427168901803, -0.31658529903183485, -0.04406104685040191, 0.09516101330518723] |
710.5224 | Ostwald Ripening on Nanoscale | Applicability of classical Lifshitz-Slyozov theory of Ostwald ripening is
analyzed and found limited by relatively large cluster sizes due to
restrictions imposed by theoretical assumptions. An assumption about the steady
state ripening regime poses an upper limit, while another, implicit assumption
of continuous description poses a cluster size-dependent lower limit on the
supersaturation level. These two limits mismatch for the clusters under certain
size in the nanometer scale making the theory inapplicable. We present a more
generic, molecular theory of Ostwald ripening, which reproduces classical
Lifshitz-Slyozov and Wagner theories in appropriate extreme cases. This theory
has a wider applicability than classical theories, especially at lower
supersaturation levels, and is more suitable for nanoscale systems.
| cond-mat.mtrl-sci cond-mat.other | applicability of classical lifshitzslyozov theory of ostwald ripening is analyzed and found limited by relatively large cluster sizes due to restrictions imposed by theoretical assumptions an assumption about the steady state ripening regime poses an upper limit while another implicit assumption of continuous description poses a cluster sizedependent lower limit on the supersaturation level these two limits mismatch for the clusters under certain size in the nanometer scale making the theory inapplicable we present a more generic molecular theory of ostwald ripening which reproduces classical lifshitzslyozov and wagner theories in appropriate extreme cases this theory has a wider applicability than classical theories especially at lower supersaturation levels and is more suitable for nanoscale systems | [['applicability', 'of', 'classical', 'lifshitzslyozov', 'theory', 'of', 'ostwald', 'ripening', 'is', 'analyzed', 'and', 'found', 'limited', 'by', 'relatively', 'large', 'cluster', 'sizes', 'due', 'to', 'restrictions', 'imposed', 'by', 'theoretical', 'assumptions', 'an', 'assumption', 'about', 'the', 'steady', 'state', 'ripening', 'regime', 'poses', 'an', 'upper', 'limit', 'while', 'another', 'implicit', 'assumption', 'of', 'continuous', 'description', 'poses', 'a', 'cluster', 'sizedependent', 'lower', 'limit', 'on', 'the', 'supersaturation', 'level', 'these', 'two', 'limits', 'mismatch', 'for', 'the', 'clusters', 'under', 'certain', 'size', 'in', 'the', 'nanometer', 'scale', 'making', 'the', 'theory', 'inapplicable', 'we', 'present', 'a', 'more', 'generic', 'molecular', 'theory', 'of', 'ostwald', 'ripening', 'which', 'reproduces', 'classical', 'lifshitzslyozov', 'and', 'wagner', 'theories', 'in', 'appropriate', 'extreme', 'cases', 'this', 'theory', 'has', 'a', 'wider', 'applicability', 'than', 'classical', 'theories', 'especially', 'at', 'lower', 'supersaturation', 'levels', 'and', 'is', 'more', 'suitable', 'for', 'nanoscale', 'systems']] | [-0.09757741651571307, 0.16703861488847332, -0.09224424974813142, 0.12363513129489627, -0.027484341116066565, -0.1372817672703317, 0.09340171830262989, 0.2746922514317639, -0.21740588126704097, -0.3056499387039047, 0.0985688420365924, -0.17904292069898362, -0.11125024631129284, 0.21465638724335454, -0.08310929266735911, 0.055000307986087967, 0.03502519357655393, -0.02054196271816628, -0.04658848795582328, -0.23884702259659352, 0.27944055550911445, 0.07562881371306598, 0.34264155953567016, 0.07256124074429911, 0.07085054988662402, -0.014385687514093885, 0.04667989030406859, 0.0452034835175813, -0.174939164940856, 0.09884774161088117, 0.2129028414604826, 0.039487504432990886, 0.2993081321678402, -0.48085359719238785, -0.2583794128047629, 0.04477437039927361, 0.12502598096289785, 0.14319610003516764, -0.016076779244477826, -0.24092499100758383, 0.09034749868391245, -0.14922330931662336, -0.1831343178394794, -0.021681267055356057, 0.058913314706858316, -0.023963650591005654, -0.21615907070717136, 0.1416494541335851, 0.09969516882158228, 0.08244338115904962, -0.06965398176965353, -0.11309728021079903, 0.01614117093400605, 0.05029914718889223, 0.043371908523942945, -0.01663393230384763, 0.18811996374023965, -0.18678432232250966, -0.049592574078001474, 0.3990808901818175, -0.01469896403368534, -0.16790058828988358, 0.27647225709893464, -0.15636568736252293, -0.161150433588773, 0.16160207410882177, 0.08532822152891752, 0.12492847512476146, -0.14717519792254297, 0.14359524365148932, -0.02378959705840731, 0.2118054186739436, 0.12717175519649396, 0.01839354724557907, 0.18159388972593374, 0.23121447465790992, 0.07402061387026486, 0.1201647361025639, -0.05208859992777243, -0.17865745479183828, -0.2806240984385735, -0.06270286781517298, -0.16032570306407778, 0.07833184986865442, -0.14444353995528664, -0.15588796131615118, 0.25114465824312027, 0.16452155809639135, 0.16047611018119937, 0.09604196059578833, 0.2305550464968148, 0.1480677043610628, 0.0353517509024721, 0.04037151947258073, 0.23177665417703489, 0.16239985701497317, 0.09007833687090233, -0.1894357181971141, 0.10635626432077404, 0.0572873762065316] |
710.5225 | A multi-transition submillimeter water maser study of evolved stars -
detection of a new line near 475 GHz | Context: Maser emission from the H2O molecule probes the warm, inner
circumstellar envelopes of oxygen-rich red giant and supergiant stars.
Multi-maser transition studies can be used to put constraints on the density
and temperature of the emission regions.
Aims: A number of known H2O maser lines were observed toward the long period
variables R Leo and W Hya and the red supergiant VY CMa. A search for a new,
not yet detected line near 475 GHz was conducted toward these stars.
Methods: The Atacama Pathfinder Experiment telescope was used for a
multi-transition observational study of submillimeter H2O lines.
Results: The 5_33-4_40 transition near 475 GHz was clearly detected toward VY
CMa and W Hya. Many other H2O lines were detected toward all three target
stars. Relative line intensity ratios and velocity widths were found to vary
significantly from star to star.
Conclusions: Maser action is observed in all but one line for which it was
theoretically predicted. In contrast, one of the strongest maser lines, in R
Leo by far the strongest, the 437 GHz 7_53-6_60 transition, is not predicted to
be inverted. Some other qualitative predictions of the model calculations are
at variance with our observations. Plausible reasons for this are discussed.
Based on our findings for W Hya and VY CMa, we find evidence that the H2O
masers in the AGB star W Hya arise from the regular circumstellar outflow,
while shock excitation in a high velocity flow seems to be required to excite
masers far from the red supergiant VY CMa.
| astro-ph | context maser emission from the h2o molecule probes the warm inner circumstellar envelopes of oxygenrich red giant and supergiant stars multimaser transition studies can be used to put constraints on the density and temperature of the emission regions aims a number of known h2o maser lines were observed toward the long period variables r leo and w hya and the red supergiant vy cma a search for a new not yet detected line near 475 ghz was conducted toward these stars methods the atacama pathfinder experiment telescope was used for a multitransition observational study of submillimeter h2o lines results the 5_334_40 transition near 475 ghz was clearly detected toward vy cma and w hya many other h2o lines were detected toward all three target stars relative line intensity ratios and velocity widths were found to vary significantly from star to star conclusions maser action is observed in all but one line for which it was theoretically predicted in contrast one of the strongest maser lines in r leo by far the strongest the 437 ghz 7_536_60 transition is not predicted to be inverted some other qualitative predictions of the model calculations are at variance with our observations plausible reasons for this are discussed based on our findings for w hya and vy cma we find evidence that the h2o masers in the agb star w hya arise from the regular circumstellar outflow while shock excitation in a high velocity flow seems to be required to excite masers far from the red supergiant vy cma | [['context', 'maser', 'emission', 'from', 'the', 'h2o', 'molecule', 'probes', 'the', 'warm', 'inner', 'circumstellar', 'envelopes', 'of', 'oxygenrich', 'red', 'giant', 'and', 'supergiant', 'stars', 'multimaser', 'transition', 'studies', 'can', 'be', 'used', 'to', 'put', 'constraints', 'on', 'the', 'density', 'and', 'temperature', 'of', 'the', 'emission', 'regions', 'aims', 'a', 'number', 'of', 'known', 'h2o', 'maser', 'lines', 'were', 'observed', 'toward', 'the', 'long', 'period', 'variables', 'r', 'leo', 'and', 'w', 'hya', 'and', 'the', 'red', 'supergiant', 'vy', 'cma', 'a', 'search', 'for', 'a', 'new', 'not', 'yet', 'detected', 'line', 'near', '475', 'ghz', 'was', 'conducted', 'toward', 'these', 'stars', 'methods', 'the', 'atacama', 'pathfinder', 'experiment', 'telescope', 'was', 'used', 'for', 'a', 'multitransition', 'observational', 'study', 'of', 'submillimeter', 'h2o', 'lines', 'results', 'the', '5_334_40', 'transition', 'near', '475', 'ghz', 'was', 'clearly', 'detected', 'toward', 'vy', 'cma', 'and', 'w', 'hya', 'many', 'other', 'h2o', 'lines', 'were', 'detected', 'toward', 'all', 'three', 'target', 'stars', 'relative', 'line', 'intensity', 'ratios', 'and', 'velocity', 'widths', 'were', 'found', 'to', 'vary', 'significantly', 'from', 'star', 'to', 'star', 'conclusions', 'maser', 'action', 'is', 'observed', 'in', 'all', 'but', 'one', 'line', 'for', 'which', 'it', 'was', 'theoretically', 'predicted', 'in', 'contrast', 'one', 'of', 'the', 'strongest', 'maser', 'lines', 'in', 'r', 'leo', 'by', 'far', 'the', 'strongest', 'the', '437', 'ghz', '7_536_60', 'transition', 'is', 'not', 'predicted', 'to', 'be', 'inverted', 'some', 'other', 'qualitative', 'predictions', 'of', 'the', 'model', 'calculations', 'are', 'at', 'variance', 'with', 'our', 'observations', 'plausible', 'reasons', 'for', 'this', 'are', 'discussed', 'based', 'on', 'our', 'findings', 'for', 'w', 'hya', 'and', 'vy', 'cma', 'we', 'find', 'evidence', 'that', 'the', 'h2o', 'masers', 'in', 'the', 'agb', 'star', 'w', 'hya', 'arise', 'from', 'the', 'regular', 'circumstellar', 'outflow', 'while', 'shock', 'excitation', 'in', 'a', 'high', 'velocity', 'flow', 'seems', 'to', 'be', 'required', 'to', 'excite', 'masers', 'far', 'from', 'the', 'red', 'supergiant', 'vy', 'cma']] | [-0.03474713827527881, 0.08984222351128154, -0.00895692338142915, 0.013929640820928927, -0.12509609274825906, -0.15813651419916297, 0.08157175766495224, 0.4804405997177044, -0.13435097850777536, -0.2831376458692598, 0.0647909027140261, -0.2841906342395689, -0.028273575883581342, 0.14996772928212573, -0.004097548216967231, -0.02508530038060153, 0.10363402937917388, -0.104555200243673, -0.011408163998943876, -0.18055781674389523, 0.2334848759515931, 0.06509803450736866, 0.1386045224621866, -0.014803888150064119, -0.011450382889215037, -0.25332454749312533, -0.06388750673511503, -0.08821738648610523, -0.14563802695491437, 0.013632400313844956, 0.28994181309733913, 0.12890484860905285, 0.18743452864635987, -0.31361869192474423, -0.2324566343814075, 0.03140299781865674, 0.1862562215085553, 0.018894300308631384, 0.014226184993765718, -0.33917553243839527, 0.05738087422404609, -0.12919710510117244, -0.20600281983606547, 0.0885198017984881, 0.094417509632148, 0.042470860668361574, -0.23237445576865953, 0.06200289113755037, 0.0025139447855932425, 0.13053045878661643, -0.1222561793142106, -0.18964281555754967, -0.1006663301593227, 0.054822043189222354, 0.014449138046368453, 0.11743743099416959, 0.16357306241469674, -0.10319557916131836, -0.04670338778648956, 0.4036261668499277, -0.1581363870402375, 0.0011353825063136708, 0.2816722198914499, -0.248489603719329, -0.2580842807350042, 0.21083572967742306, 0.07526785394136722, 0.16805525975823876, -0.12365915591223722, -0.05924788567926772, -0.021655319246047907, 0.21435289465603363, 0.10107962983086208, 0.07144633844954915, 0.3376238819478874, 0.06448234547397115, 0.000841200771691478, 0.11828504702256272, -0.31207915576011597, -0.07396628123251685, -0.22071922059538235, -0.13188114601922077, -0.12124571423936799, 0.06630892051530879, -0.08029978837781035, -0.06688532417647511, 0.32329193109148313, 0.08159686292733151, 0.19441965691104302, -0.01807323149711532, 0.27612841090899837, 0.09631711331871431, 0.08867633060545918, 0.1307526636883557, 0.35959161717346794, 0.1979963167707818, 0.153221168623035, -0.2514994572180201, 0.13606623740517998, -0.01645778512129508] |
710.5226 | Another View on the Hoelder Inequality | Every diagonalmatrix D yields an endomorphism on the n-dimensional complex
vectorspace. If one provides this space with Hoelder norms, we can compute the
operator norm of D. We define homogeneous weighted spaces as a generalization
of normed spaces. We generalize the Hoelder norms for negative values, this
leads to a proof of an extented version of the Hoelder inequality. Finally, we
formulate this version also for measurable functions.
| math.FA | every diagonalmatrix d yields an endomorphism on the ndimensional complex vectorspace if one provides this space with hoelder norms we can compute the operator norm of d we define homogeneous weighted spaces as a generalization of normed spaces we generalize the hoelder norms for negative values this leads to a proof of an extented version of the hoelder inequality finally we formulate this version also for measurable functions | [['every', 'diagonalmatrix', 'd', 'yields', 'an', 'endomorphism', 'on', 'the', 'ndimensional', 'complex', 'vectorspace', 'if', 'one', 'provides', 'this', 'space', 'with', 'hoelder', 'norms', 'we', 'can', 'compute', 'the', 'operator', 'norm', 'of', 'd', 'we', 'define', 'homogeneous', 'weighted', 'spaces', 'as', 'a', 'generalization', 'of', 'normed', 'spaces', 'we', 'generalize', 'the', 'hoelder', 'norms', 'for', 'negative', 'values', 'this', 'leads', 'to', 'a', 'proof', 'of', 'an', 'extented', 'version', 'of', 'the', 'hoelder', 'inequality', 'finally', 'we', 'formulate', 'this', 'version', 'also', 'for', 'measurable', 'functions']] | [-0.1154599694896545, 0.07575054255830221, -0.10644758287374166, 0.11216526842891558, -0.07576184277770234, -0.10271104532224473, -0.02196039853499396, 0.35057154509113797, -0.3475757428069613, -0.14960930337990397, 0.10829318104895638, -0.2599408869117276, -0.16545167376301181, 0.19145531821717968, -0.17456279037895597, -0.009003886400240668, 0.04290215577930212, 0.09107170787765019, -0.15414105320988752, -0.2820686315144621, 0.43245535664983203, -0.028638058057082676, 0.18409499687267772, 0.08267032840191874, 0.12621215509195158, 0.06164435718430957, 0.0014605447858460803, 0.011666539868378123, -0.2257778291862437, 0.2147627563785706, 0.2256817194674887, 0.14567261750100932, 0.3219868380940387, -0.31537390406262616, -0.1317241500381992, 0.2743537291717618, 0.10998171141871543, -0.0035755955266641147, 0.00030842543503186153, -0.29345603743151055, 0.0699230068599555, -0.12947414166975155, -0.19147517390326776, -0.1560196632053703, 0.04432731702117555, -0.0075976662476783365, -0.3656140628145702, 0.04203901795362845, 0.07982560682958409, 0.046086654165427815, -0.18452849468466506, -0.08032592922907823, 0.020560500663774673, 0.04153417823697204, -0.04320980272075133, 0.07945903610271304, 0.04297634495557772, 0.01078789918544466, -0.13157527013890333, 0.33117549122769885, -0.09731583098912222, -0.31624151888623164, 0.10685809151227794, -0.16325522835519332, -0.14406607932508436, 0.007880836641832964, 0.16492283561114054, 0.15710054390799644, -0.030352175624957727, 0.15587437647714544, -0.15606276297580396, 0.11127765808921697, 0.09523310131435074, 0.07493311195954014, 0.03672533465632752, 0.1095121566956835, 0.22540798369072265, 0.2097704323814876, 0.019008773563207307, -0.04141377380166425, -0.37074092341892756, -0.21068137604395734, -0.14454420485686678, 0.12723678041166112, -0.1813203010068678, -0.20565814541569397, 0.3446529813235931, 0.07479277139863194, 0.20583840398423708, 0.18667102035190633, 0.20831387877505994, 0.1248362362089414, 0.038284641725303076, 0.07330699157557943, 0.13467900158225823, 0.1826047495966638, 0.10327524490960276, -0.08397482217588365, 0.04403430623794669, 0.25679988325086994] |
710.5227 | The collaboration between Korteweg and de Vries -- An enquiry into
personalities | In the course of the years the names of Korteweg and de Vries have come to be
closely associated. The equation which is named after them plays a fundamental
role in the theory of non-linear partial differential equations. What are the
origins of the doctoral dissertation of De Vries and of the Korteweg-de Vries
paper? Bastiaan Willink, a distant relative of both of these mathematicians,
has sought to answer these questions. This article is based on a lecture
delivered by the author at the symposium dedicated to Korteweg and de Vries at
University of Amsterdam in September 2003.
| physics.hist-ph math.AP math.HO physics.flu-dyn | in the course of the years the names of korteweg and de vries have come to be closely associated the equation which is named after them plays a fundamental role in the theory of nonlinear partial differential equations what are the origins of the doctoral dissertation of de vries and of the kortewegde vries paper bastiaan willink a distant relative of both of these mathematicians has sought to answer these questions this article is based on a lecture delivered by the author at the symposium dedicated to korteweg and de vries at university of amsterdam in september 2003 | [['in', 'the', 'course', 'of', 'the', 'years', 'the', 'names', 'of', 'korteweg', 'and', 'de', 'vries', 'have', 'come', 'to', 'be', 'closely', 'associated', 'the', 'equation', 'which', 'is', 'named', 'after', 'them', 'plays', 'a', 'fundamental', 'role', 'in', 'the', 'theory', 'of', 'nonlinear', 'partial', 'differential', 'equations', 'what', 'are', 'the', 'origins', 'of', 'the', 'doctoral', 'dissertation', 'of', 'de', 'vries', 'and', 'of', 'the', 'kortewegde', 'vries', 'paper', 'bastiaan', 'willink', 'a', 'distant', 'relative', 'of', 'both', 'of', 'these', 'mathematicians', 'has', 'sought', 'to', 'answer', 'these', 'questions', 'this', 'article', 'is', 'based', 'on', 'a', 'lecture', 'delivered', 'by', 'the', 'author', 'at', 'the', 'symposium', 'dedicated', 'to', 'korteweg', 'and', 'de', 'vries', 'at', 'university', 'of', 'amsterdam', 'in', 'september', '2003']] | [-0.09883563717691383, 0.0676924243355946, -0.1413799765564363, 0.036751379432341004, -0.1379077656310983, -0.12132450581217806, -0.08413197577222793, 0.19237033333653622, -0.2451180291439717, -0.3274958881471927, 0.1647937563745169, -0.3207483834121376, -0.17992714249218503, 0.17806870713441944, -0.11151223489044544, 0.02855320968471157, 0.03607163873190681, 0.03524785950624695, 0.00491472411279877, -0.35873076513720054, 0.378656632155374, 0.11305799538968131, 0.24716707733265744, 0.03251486014960392, 0.15667867427691817, -0.015573920623864979, -0.08429419377353042, -0.07404015957339045, -0.16705858445493504, 0.13283966235273206, 0.34273594690603204, 0.09778082272775161, 0.3456797310694431, -0.42415691873369116, -0.15166212210897356, 0.04528444262299066, 0.0894426584369891, 0.12834869340561758, 0.017616261508616542, -0.3716131693702967, 0.02655273325338688, -0.13907278020633385, -0.17706995917736398, 0.07266527120979542, 0.050843191929743625, 0.06232711427340595, -0.11269078645879442, 0.11954361775315192, 0.05998369598129708, 0.08117719426566812, -0.06801446664515727, -0.11305636162190542, -0.03156592211598763, 0.08135882173276816, 0.03502998746541645, 0.019549302203813568, 0.0028589844975310066, -0.11679011759648954, -0.11289639164654848, 0.40317529201032204, -0.049540584053223334, -0.11469902077806182, 0.16110375989713552, -0.08227239052939694, -0.19314692547292603, 0.07907599997512686, 0.22101244740285134, 0.11820051230218571, -0.15873422951941998, 0.14564548676147146, -0.03709953392293149, 0.1444091670588629, 0.19869093795326384, -0.03191989839736683, 0.20539033793223402, 0.12779835111966045, -0.02018121180541736, 0.06127196466817016, 0.0009193560050941111, -0.14158714538401304, -0.28414517218091834, -0.19613309763371944, -0.07639078679737092, 0.03901830240890073, 0.04259781915501056, -0.12342826801371605, 0.39692929611192085, 0.12163621297319575, 0.12020182764778535, -0.01692879217322722, 0.15556420273302743, 0.14669003693658547, -0.021475786559070304, 0.014386393462094324, 0.22755806542166587, 0.16921114791034597, 0.26068362287575536, -0.19798338229884394, -0.0005160254562118401, 0.19141875373315997] |
710.5228 | Upper Bound of Relative Error of Random Ball Coverage for Calculating
Fractal Network Dimension | Least box number coverage problem for calculating dimension of fractal
networks is a NP-hard problem. Meanwhile, the time complexity of random ball
coverage for calculating dimension is very low. In this paper we strictly
present the upper bound of relative error for random ball coverage algorithm.
We also propose twice-random ball coverage algorithm for calculating network
dimension. For many real-world fractal networks, when the network diameter is
sufficient large, the relative error upper bound of this method will tend to 0.
In this point of view, given a proper acceptable error range, the dimension
calculation is not a NP-hard problem, but P problem instead.
| cond-mat.stat-mech | least box number coverage problem for calculating dimension of fractal networks is a nphard problem meanwhile the time complexity of random ball coverage for calculating dimension is very low in this paper we strictly present the upper bound of relative error for random ball coverage algorithm we also propose twicerandom ball coverage algorithm for calculating network dimension for many realworld fractal networks when the network diameter is sufficient large the relative error upper bound of this method will tend to 0 in this point of view given a proper acceptable error range the dimension calculation is not a nphard problem but p problem instead | [['least', 'box', 'number', 'coverage', 'problem', 'for', 'calculating', 'dimension', 'of', 'fractal', 'networks', 'is', 'a', 'nphard', 'problem', 'meanwhile', 'the', 'time', 'complexity', 'of', 'random', 'ball', 'coverage', 'for', 'calculating', 'dimension', 'is', 'very', 'low', 'in', 'this', 'paper', 'we', 'strictly', 'present', 'the', 'upper', 'bound', 'of', 'relative', 'error', 'for', 'random', 'ball', 'coverage', 'algorithm', 'we', 'also', 'propose', 'twicerandom', 'ball', 'coverage', 'algorithm', 'for', 'calculating', 'network', 'dimension', 'for', 'many', 'realworld', 'fractal', 'networks', 'when', 'the', 'network', 'diameter', 'is', 'sufficient', 'large', 'the', 'relative', 'error', 'upper', 'bound', 'of', 'this', 'method', 'will', 'tend', 'to', '0', 'in', 'this', 'point', 'of', 'view', 'given', 'a', 'proper', 'acceptable', 'error', 'range', 'the', 'dimension', 'calculation', 'is', 'not', 'a', 'nphard', 'problem', 'but', 'p', 'problem', 'instead']] | [-0.14440601851420423, 0.04774002235346628, -0.025298574188886917, 0.10400734182777227, -0.040239477224955425, -0.17221559546616616, 0.108680894079582, 0.3791434274606624, -0.25499589132705647, -0.3135221770159828, 0.1159028439732829, -0.24604388256783336, -0.15380901603697283, 0.16976757932599018, -0.127838967829147, 0.11302755802905964, 0.08970629389497262, 0.06426207684161304, -0.04560118499528436, -0.30637609185560527, 0.28606238321048544, 0.06694967786157593, 0.27383352064717453, 0.10369061544826887, 0.06977799007651007, -0.0058607971702602886, 0.016524971112409987, 0.08118061334102696, -0.17988896399772572, 0.15170604747367425, 0.25498390230304985, 0.16761396974506018, 0.3280290345598048, -0.32122397119884644, -0.19266772805487067, 0.207014986992027, 0.19278840336369948, 0.10402855456332581, 0.014622131841781648, -0.2063407267678927, 0.13540070992216324, -0.11768139864417534, -0.1433265260918048, -0.027036126269009506, 0.09366625293329792, -0.05711306222868197, -0.30380050588887436, 0.0626508685309797, 0.061164436496379426, 0.05302701009272426, -0.049155047547650856, -0.15047506027791685, 0.06480534321366294, 0.11373675155178734, -0.004873774291888711, 0.0726995845913019, 0.083371106345315, -0.10407659403518638, -0.0778357281702236, 0.3561445650400467, 0.0026729567647794062, -0.2627549844147475, 0.12261817951514883, -0.1461902117600791, -0.14361374472602478, 0.19786562335686486, 0.2488578365374248, 0.1372704090487248, -0.12569928132023017, 0.12175549836450672, -0.07963540109814805, 0.16270247340406907, 0.09830458366393464, 0.04595269602768629, 0.09057372901588678, 0.21473608712340225, 0.20197546128036672, 0.17254721689788463, -0.12953087322196913, -0.0559860792698212, -0.29275634119883903, -0.11517730911908834, -0.2787675979700916, 0.03530698353031908, -0.1745318779767066, -0.19504203159108902, 0.32658721908963134, 0.12798280189790337, 0.17652765997839207, 0.19246530064689085, 0.3108755313945048, 0.11164311449511374, -0.02445346348494002, 0.13433726062292903, 0.15645016780918808, 0.09480182663763612, 0.06023823423311114, -0.141298714898599, 0.0785098719745151, 0.13174477651787614] |
710.5229 | Strongly Coupled Plasma Liquids | This paper intends to review some of the prominent properties of strongly
coupled classical plasmas having in mind the possible link with the quark-gluon
plasma created in heavy-ion collisions. Thermodynamic and transport properties
of classical liquid-state one-component plasmas are described and features of
collective excitations are presented.
| nucl-th hep-th | this paper intends to review some of the prominent properties of strongly coupled classical plasmas having in mind the possible link with the quarkgluon plasma created in heavyion collisions thermodynamic and transport properties of classical liquidstate onecomponent plasmas are described and features of collective excitations are presented | [['this', 'paper', 'intends', 'to', 'review', 'some', 'of', 'the', 'prominent', 'properties', 'of', 'strongly', 'coupled', 'classical', 'plasmas', 'having', 'in', 'mind', 'the', 'possible', 'link', 'with', 'the', 'quarkgluon', 'plasma', 'created', 'in', 'heavyion', 'collisions', 'thermodynamic', 'and', 'transport', 'properties', 'of', 'classical', 'liquidstate', 'onecomponent', 'plasmas', 'are', 'described', 'and', 'features', 'of', 'collective', 'excitations', 'are', 'presented']] | [-0.12293384109742622, 0.23877936351965082, -0.09657636537226512, 0.0435013751811447, -0.017000320367515087, -0.12093901951262291, -0.09335698149454325, 0.3274646198694059, -0.24799620712849688, -0.22906186986476818, -0.028055291543615624, -0.3245053663453523, -0.0780909463287668, 0.13926824337822644, 0.006203504081102128, 0.08367842511135212, 0.03806263888056608, 0.03131733850595799, -0.006586953505633418, -0.20534760544591762, 0.31727625191845793, 0.12983402548397474, 0.25655349882993295, 0.09227017453931113, 0.02258565130227424, -0.010634605307132006, -0.04612085507053169, 0.06613424675975074, -0.14693172375189803, 0.08710496287676506, 0.3053690659555983, 0.04660462942271632, 0.1753812141944357, -0.4777932820167947, -0.26808070379527327, 0.008233011125567112, 0.1727285653332922, 0.07906712020965333, -0.05297506881996672, -0.2129935208073956, 0.005063041747408978, -0.1944251681301505, -0.19320633280229696, -0.10402276506647468, -0.029317997514884522, 0.11543088331025966, -0.18547945709383867, 0.11367178904487098, 0.08009585490489894, 0.07264784949415541, -0.03001154508402056, -0.10640620146977141, -0.014833190537830616, 0.027208301303115613, 0.026052047518339564, 0.003354128777108928, 0.19724739319149484, -0.23515384370570092, -0.1398444845876161, 0.45582150335007526, 0.015366587589712852, -0.10285910813415304, 0.33354041233975834, -0.15048130684869088, -0.14935351258262675, 0.09331436676191206, 0.16077808485529882, 0.12221582749105514, -0.22454114167138617, 0.03456277498604477, -0.05831385475206882, 0.07964812127992194, 0.03414625597206202, 0.138457540422678, 0.2443478497022644, 0.1727614770643413, -0.11158148318212083, 0.16883755842857856, -0.01238695139746848, -0.15612355705989683, -0.3439914213216051, -0.11527203644645657, -0.12436558861047664, 0.009383181932362471, 0.016377421215478766, -0.18285178072116476, 0.42980546781674345, 0.19479828857150464, 0.1437039495386342, -0.12314799380429248, 0.2474617966094074, 0.08623131304147079, -0.08963279679734656, 0.11077871847342938, 0.26630273615220623, 0.23767679250561335, 0.16833714276869247, -0.2918799901182981, -0.007863434962928295, 0.07729939838990252] |
710.523 | Generalized reliability-based syndrome decoding for LDPC codes | Aiming at bridging the gap between the maximum likelihood decoding (MLD) and
the suboptimal iterative decodings for short or medium length LDPC codes, we
present a generalized ordered statistic decoding (OSD) in the form of syndrome
decoding, to cascade with the belief propagation (BP) or enhanced min-sum
decoding. The OSD is invoked only when the decoding failures are obtained for
the preceded iterative decoding method. With respect to the existing OSD which
is based on the accumulated log-likelihood ratio (LLR) metric, we extend the
accumulative metric to the situation where the BP decoding is in the
probability domain. Moreover, after generalizing the accumulative metric to the
context of the normalized or offset min-sum decoding, the OSD shows appealing
tradeoff between performance and complexity. In the OSD implementation, when
deciding the true error pattern among many candidates, an alternative proposed
proves to be effective to reduce the number of real additions without
performance loss. Simulation results demonstrate that the cascade connection of
enhanced min-sum and OSD decodings outperforms the BP alone significantly, in
terms of either performance or complexity.
| cs.IT math.IT | aiming at bridging the gap between the maximum likelihood decoding mld and the suboptimal iterative decodings for short or medium length ldpc codes we present a generalized ordered statistic decoding osd in the form of syndrome decoding to cascade with the belief propagation bp or enhanced minsum decoding the osd is invoked only when the decoding failures are obtained for the preceded iterative decoding method with respect to the existing osd which is based on the accumulated loglikelihood ratio llr metric we extend the accumulative metric to the situation where the bp decoding is in the probability domain moreover after generalizing the accumulative metric to the context of the normalized or offset minsum decoding the osd shows appealing tradeoff between performance and complexity in the osd implementation when deciding the true error pattern among many candidates an alternative proposed proves to be effective to reduce the number of real additions without performance loss simulation results demonstrate that the cascade connection of enhanced minsum and osd decodings outperforms the bp alone significantly in terms of either performance or complexity | [['aiming', 'at', 'bridging', 'the', 'gap', 'between', 'the', 'maximum', 'likelihood', 'decoding', 'mld', 'and', 'the', 'suboptimal', 'iterative', 'decodings', 'for', 'short', 'or', 'medium', 'length', 'ldpc', 'codes', 'we', 'present', 'a', 'generalized', 'ordered', 'statistic', 'decoding', 'osd', 'in', 'the', 'form', 'of', 'syndrome', 'decoding', 'to', 'cascade', 'with', 'the', 'belief', 'propagation', 'bp', 'or', 'enhanced', 'minsum', 'decoding', 'the', 'osd', 'is', 'invoked', 'only', 'when', 'the', 'decoding', 'failures', 'are', 'obtained', 'for', 'the', 'preceded', 'iterative', 'decoding', 'method', 'with', 'respect', 'to', 'the', 'existing', 'osd', 'which', 'is', 'based', 'on', 'the', 'accumulated', 'loglikelihood', 'ratio', 'llr', 'metric', 'we', 'extend', 'the', 'accumulative', 'metric', 'to', 'the', 'situation', 'where', 'the', 'bp', 'decoding', 'is', 'in', 'the', 'probability', 'domain', 'moreover', 'after', 'generalizing', 'the', 'accumulative', 'metric', 'to', 'the', 'context', 'of', 'the', 'normalized', 'or', 'offset', 'minsum', 'decoding', 'the', 'osd', 'shows', 'appealing', 'tradeoff', 'between', 'performance', 'and', 'complexity', 'in', 'the', 'osd', 'implementation', 'when', 'deciding', 'the', 'true', 'error', 'pattern', 'among', 'many', 'candidates', 'an', 'alternative', 'proposed', 'proves', 'to', 'be', 'effective', 'to', 'reduce', 'the', 'number', 'of', 'real', 'additions', 'without', 'performance', 'loss', 'simulation', 'results', 'demonstrate', 'that', 'the', 'cascade', 'connection', 'of', 'enhanced', 'minsum', 'and', 'osd', 'decodings', 'outperforms', 'the', 'bp', 'alone', 'significantly', 'in', 'terms', 'of', 'either', 'performance', 'or', 'complexity']] | [-0.1456234935426488, 0.01497718301777312, -0.06426775178955763, 0.09707325030303968, -0.06009783536153898, -0.20724058097615586, 0.12469213974290642, 0.4115066769627038, -0.29683726749728234, -0.3009355011084797, 0.08056743810832333, -0.24138478476428585, -0.19743196992988415, 0.16409430669697808, -0.1171743350542998, 0.09110441686732046, 0.09185518571463402, 0.07050626947586372, -0.16072430509650096, -0.32154900425903793, 0.21289839888687423, 0.1845873505671069, 0.3281983230524602, 0.0007757994220749046, 0.061968957293736804, 0.0281369459522323, 0.005791218656382074, -0.0084574417619223, -0.06305529901992793, 0.07084060118669706, 0.258215594895477, 0.20935112566247666, 0.24608595186342183, -0.3779341584343589, -0.20809169236983938, 0.10340462386440695, 0.15576073234270357, 0.09637423046129452, -0.02785769235107294, -0.26693075362611246, 0.15898946083014767, -0.13840159206661615, 0.021059733860945496, 0.03878994232954018, -0.060197168354238016, 0.021422674132542414, -0.30106603677366245, 0.04759150451448814, 0.08410800824444113, 0.0040600432417868225, 0.015820781370687684, -0.1570665916176827, 0.056942519713507105, 0.0622630330352662, 0.0654607721646264, 0.06633785484735383, 0.07717567230208536, -0.09363870107401372, -0.1336738685318635, 0.32535392151533343, -0.03315857546456326, -0.21567554215199491, 0.15347592748591699, -0.030514299357277237, -0.055247068217448014, 0.19714883547223938, 0.19405477771043694, 0.07748189734117117, -0.07600805208200112, 0.026508572345090707, 0.05692856508474588, 0.1841477945164432, 0.11312906127854701, 0.06149107653201621, 0.128939840653545, 0.16006769469070636, 0.058851425540882026, 0.18081758825665634, -0.1323003496397862, -0.11347181012519122, -0.23133489035666407, -0.1505843824026792, -0.19650193322463003, -0.018354809709583943, -0.1518812866308733, -0.15995179110185734, 0.3586315389479291, 0.1643459729136104, 0.16129341619507817, 0.17400067263567986, 0.3340891964022028, 0.09307524320156721, 0.05445842453268137, 0.1652684110763556, 0.23165033833945192, 0.11000465268525557, 0.014309310168551092, -0.2680577851643556, 0.13918013814993704, 0.09750067250194222] |
710.5231 | Anomalous shell effect in the transition from a circular to a triangular
billiard | We apply periodic orbit theory to a two-dimensional non-integrable billiard
system whose boundary is varied smoothly from a circular to an equilateral
triangular shape. Although the classical dynamics becomes chaotic with
increasing triangular deformation, it exhibits an astonishingly pronounced
shell effect on its way through the shape transition. A semiclassical analysis
reveals that this shell effect emerges from a codimension-two bifurcation of
the triangular periodic orbit. Gutzwiller's semiclassical trace formula, using
a global uniform approximation for the bifurcation of the triangular orbit and
including the contributions of the other isolated orbits, describes very well
the coarse-grained quantum-mechanical level density of this system. We also
discuss the role of discrete symmetry for the large shell effect obtained here.
| nlin.CD nucl-th | we apply periodic orbit theory to a twodimensional nonintegrable billiard system whose boundary is varied smoothly from a circular to an equilateral triangular shape although the classical dynamics becomes chaotic with increasing triangular deformation it exhibits an astonishingly pronounced shell effect on its way through the shape transition a semiclassical analysis reveals that this shell effect emerges from a codimensiontwo bifurcation of the triangular periodic orbit gutzwillers semiclassical trace formula using a global uniform approximation for the bifurcation of the triangular orbit and including the contributions of the other isolated orbits describes very well the coarsegrained quantummechanical level density of this system we also discuss the role of discrete symmetry for the large shell effect obtained here | [['we', 'apply', 'periodic', 'orbit', 'theory', 'to', 'a', 'twodimensional', 'nonintegrable', 'billiard', 'system', 'whose', 'boundary', 'is', 'varied', 'smoothly', 'from', 'a', 'circular', 'to', 'an', 'equilateral', 'triangular', 'shape', 'although', 'the', 'classical', 'dynamics', 'becomes', 'chaotic', 'with', 'increasing', 'triangular', 'deformation', 'it', 'exhibits', 'an', 'astonishingly', 'pronounced', 'shell', 'effect', 'on', 'its', 'way', 'through', 'the', 'shape', 'transition', 'a', 'semiclassical', 'analysis', 'reveals', 'that', 'this', 'shell', 'effect', 'emerges', 'from', 'a', 'codimensiontwo', 'bifurcation', 'of', 'the', 'triangular', 'periodic', 'orbit', 'gutzwillers', 'semiclassical', 'trace', 'formula', 'using', 'a', 'global', 'uniform', 'approximation', 'for', 'the', 'bifurcation', 'of', 'the', 'triangular', 'orbit', 'and', 'including', 'the', 'contributions', 'of', 'the', 'other', 'isolated', 'orbits', 'describes', 'very', 'well', 'the', 'coarsegrained', 'quantummechanical', 'level', 'density', 'of', 'this', 'system', 'we', 'also', 'discuss', 'the', 'role', 'of', 'discrete', 'symmetry', 'for', 'the', 'large', 'shell', 'effect', 'obtained', 'here']] | [-0.1837502064772396, 0.10773910162796298, -0.13956732995426044, 0.07178310209658378, -0.046369748409940965, -0.11713800265286596, 0.011801109310940035, 0.3280029727114189, -0.28379151477820724, -0.21619077479570276, 0.08187099339532006, -0.2727441375390587, -0.18629861672002918, 0.1740104779242896, -0.013029041887125652, 0.04242184547992009, 0.07418692107789983, 0.05308071857529223, -0.11944933482206976, -0.13563627082731128, 0.31988635394547105, 0.045750006396546326, 0.22793023742568225, 0.020995779460471157, 0.06409843094869812, 0.044644350384990886, 0.0741517474102732, 0.04103543862509422, -0.18178521708664175, 0.09138358085471977, 0.14474798578363007, -0.022547268310689136, 0.1708414560725164, -0.4389091069595172, -0.18456761319882786, 0.03089279561048835, 0.17811293055454636, 0.17276024734044176, -0.06554081319019389, -0.29799044779382455, 0.014091060656067142, -0.19778350019493166, -0.2527220279503709, -0.055219696691403024, 0.05446641470313582, -0.013420193269052822, -0.22188243515885028, 0.10603386496216592, 0.11614261092080806, 0.09899338256790598, -0.06288300968933469, -0.06177590902632055, -0.07395868002771376, 0.11523202706016919, 0.03897083404028199, -0.006608868245399581, 0.15079054481680226, -0.054598289559810206, -0.05375600013977442, 0.39951388254506975, -0.06288829925629255, -0.17294469298635665, 0.16770955357445866, -0.18985922802558058, -0.12276776810773672, 0.17862417598247018, 0.11150825392200142, 0.08838440940350206, -0.08581666344315068, 0.1347964803651413, -0.06464299006371671, 0.15745118932010463, 0.06873860390275781, -0.017174825289199114, 0.25415876717903674, 0.18499031628115883, 0.10177581507213111, 0.18892192144919998, -0.12098623546085154, -0.19610559311695397, -0.27682279460888326, -0.05999073512358671, -0.16586107122274035, 0.07334239984579925, -0.11869750710382847, -0.28528316114416236, 0.39407901311468363, 0.06085331932766936, 0.22434067873793662, -0.00042356052794135536, 0.2537281611560183, 0.13395039204699108, 0.019833626074350286, 0.04757717295906021, 0.24952634035522103, 0.15335624817456317, 0.07603878063810432, -0.2652469429935719, -0.02336089114427694, 0.0925349723169596] |
710.5232 | From inflation to dark energy in the non-minimal modified gravity | We consider the modified gravity non-minimally coupled with matter Lagrangian
for the description of early-time and late-time universe. Such $F(R)$ ($F(G)$)
gravity in the absence of non-minimal coupling is viable theory which passes
the local tests and reproduces the $\Lambda$CDM era. For qualitatively similar
choice of non-minimal gravitational coupling function it is shown that the
unified description of early-time inflation and late-time cosmic acceleration
is possible. It is interesting that matter (scalar) which supports the
inflationary era is gravitationally screened at late times. Hence, it may be
effectively invisible at current universe.
| hep-th astro-ph gr-qc | we consider the modified gravity nonminimally coupled with matter lagrangian for the description of earlytime and latetime universe such fr fg gravity in the absence of nonminimal coupling is viable theory which passes the local tests and reproduces the lambdacdm era for qualitatively similar choice of nonminimal gravitational coupling function it is shown that the unified description of earlytime inflation and latetime cosmic acceleration is possible it is interesting that matter scalar which supports the inflationary era is gravitationally screened at late times hence it may be effectively invisible at current universe | [['we', 'consider', 'the', 'modified', 'gravity', 'nonminimally', 'coupled', 'with', 'matter', 'lagrangian', 'for', 'the', 'description', 'of', 'earlytime', 'and', 'latetime', 'universe', 'such', 'fr', 'fg', 'gravity', 'in', 'the', 'absence', 'of', 'nonminimal', 'coupling', 'is', 'viable', 'theory', 'which', 'passes', 'the', 'local', 'tests', 'and', 'reproduces', 'the', 'lambdacdm', 'era', 'for', 'qualitatively', 'similar', 'choice', 'of', 'nonminimal', 'gravitational', 'coupling', 'function', 'it', 'is', 'shown', 'that', 'the', 'unified', 'description', 'of', 'earlytime', 'inflation', 'and', 'latetime', 'cosmic', 'acceleration', 'is', 'possible', 'it', 'is', 'interesting', 'that', 'matter', 'scalar', 'which', 'supports', 'the', 'inflationary', 'era', 'is', 'gravitationally', 'screened', 'at', 'late', 'times', 'hence', 'it', 'may', 'be', 'effectively', 'invisible', 'at', 'current', 'universe']] | [-0.1528098075384902, 0.1654543515254298, -0.1446074235111313, 0.16945177623521254, -0.14482368656393627, -0.21508092384623445, -0.14569132044815217, 0.28202484814328665, -0.19017755870869302, -0.30439793395445397, -0.022395923228823052, -0.21690437898201786, -0.11180739973307303, 0.1492038164161267, 0.018785342771519463, -0.04494101309683174, 0.010816921824184448, 0.029206010563622996, 0.007425936338182984, -0.2897516566394504, 0.31196484784722206, 0.1357158825925106, 0.20602202429638608, -0.006143610734674756, 0.10269731811612197, -0.08809658530694635, -0.013455834580109577, 0.0147116853673335, -0.18423042872129133, -0.017096346583338858, 0.1639238961506635, 0.15177305071088282, 0.18267803093033802, -0.4133681361765965, -0.2818879242480287, 0.16567842118725504, 0.1556495526633428, 0.15018378705059623, -0.06074337858413144, -0.2743448015383404, 0.028761555372393163, -0.17786672225464945, -0.13404934505081695, -0.07166588264416256, 0.020058369122283613, -0.09816881890773126, -0.2776745465513238, 0.14438602496849615, -0.057180238062637334, -0.1129379479781441, -0.056025413679890335, 0.025128199799877148, -0.017920913670778922, -0.04547004065597835, 0.16704186219241188, 0.09423267422243953, 0.17410908121635896, -0.1868179852001207, -0.00019028987457125407, 0.4478172933601815, -0.2112776082187496, -0.0650087543712605, 0.18702644842636326, -0.14326765558317953, -0.16836684327775045, 0.09509383387478959, 0.04536617678873565, 0.08320643633361095, -0.14069279541423463, 0.2346375426764691, 0.05268058795848882, 0.11972724849677077, 0.09100542125373107, 0.0691238118376097, 0.42796212814383855, 0.15659462125167128, -0.00027318536708860296, 0.025118113757343963, 0.026188707301828443, -0.10984041776733332, -0.4402126852706399, -0.1450586462109957, -0.14995316851823387, 0.04345593839357405, -0.2071084263982851, -0.16775434062172123, 0.3917076426011551, 0.12714367999275134, 0.08813916449435055, 0.04781181160385883, 0.27656193168671883, 0.06816995950825715, 0.026219440765840853, 0.09342775894227721, 0.39132476241692254, 0.10122976993949598, 0.1335177718403587, -0.27825207251589745, -0.01707742745866594, 0.044614478247240186] |
710.5233 | Intersecting non-SUSY branes and closed string tachyon condensation | Following \cite{Bai:2006vv} we here consider the supergravity solutions
representing the charged non-supersymmetric $p$-brane (for $1\leq p \leq 6$)
intersecting with chargeless non-supersymmetric 1-brane and 0-brane of type II
string theories. We show how these solutions nicely interpolate between black
$p$-branes and the Kaluza-Klein "bubble of nothing" (BON) by continuously
varying some parameters characterizing the solutions from one set of values to
another. By performing a time symmetric general bubble initial data analysis,
we show that the interpolation implies a possible transition from black
$p$-branes to KK BON only for $p\leq 4$, as in these cases there exist locally
stable static bubbles under certain conditions. However, for $p>4$, black
branes always decay into dynamical bubbles. Contrary to what is known in the
literature, we argue that under certain conditions, the mechanism causing this
transition to stable static bubbles can be the closed string tachyon
condensation for all $p\leq 4$. We also show that the configurations indeed
contain (chargeless) F-strings required for the closed string tachyons to
appear causing the transitions to occur.
| hep-th | following citebai2006vv we here consider the supergravity solutions representing the charged nonsupersymmetric pbrane for 1leq p leq 6 intersecting with chargeless nonsupersymmetric 1brane and 0brane of type ii string theories we show how these solutions nicely interpolate between black pbranes and the kaluzaklein bubble of nothing bon by continuously varying some parameters characterizing the solutions from one set of values to another by performing a time symmetric general bubble initial data analysis we show that the interpolation implies a possible transition from black pbranes to kk bon only for pleq 4 as in these cases there exist locally stable static bubbles under certain conditions however for p4 black branes always decay into dynamical bubbles contrary to what is known in the literature we argue that under certain conditions the mechanism causing this transition to stable static bubbles can be the closed string tachyon condensation for all pleq 4 we also show that the configurations indeed contain chargeless fstrings required for the closed string tachyons to appear causing the transitions to occur | [['following', 'citebai2006vv', 'we', 'here', 'consider', 'the', 'supergravity', 'solutions', 'representing', 'the', 'charged', 'nonsupersymmetric', 'pbrane', 'for', '1leq', 'p', 'leq', '6', 'intersecting', 'with', 'chargeless', 'nonsupersymmetric', '1brane', 'and', '0brane', 'of', 'type', 'ii', 'string', 'theories', 'we', 'show', 'how', 'these', 'solutions', 'nicely', 'interpolate', 'between', 'black', 'pbranes', 'and', 'the', 'kaluzaklein', 'bubble', 'of', 'nothing', 'bon', 'by', 'continuously', 'varying', 'some', 'parameters', 'characterizing', 'the', 'solutions', 'from', 'one', 'set', 'of', 'values', 'to', 'another', 'by', 'performing', 'a', 'time', 'symmetric', 'general', 'bubble', 'initial', 'data', 'analysis', 'we', 'show', 'that', 'the', 'interpolation', 'implies', 'a', 'possible', 'transition', 'from', 'black', 'pbranes', 'to', 'kk', 'bon', 'only', 'for', 'pleq', '4', 'as', 'in', 'these', 'cases', 'there', 'exist', 'locally', 'stable', 'static', 'bubbles', 'under', 'certain', 'conditions', 'however', 'for', 'p4', 'black', 'branes', 'always', 'decay', 'into', 'dynamical', 'bubbles', 'contrary', 'to', 'what', 'is', 'known', 'in', 'the', 'literature', 'we', 'argue', 'that', 'under', 'certain', 'conditions', 'the', 'mechanism', 'causing', 'this', 'transition', 'to', 'stable', 'static', 'bubbles', 'can', 'be', 'the', 'closed', 'string', 'tachyon', 'condensation', 'for', 'all', 'pleq', '4', 'we', 'also', 'show', 'that', 'the', 'configurations', 'indeed', 'contain', 'chargeless', 'fstrings', 'required', 'for', 'the', 'closed', 'string', 'tachyons', 'to', 'appear', 'causing', 'the', 'transitions', 'to', 'occur']] | [-0.15055055355187505, 0.20194268606274443, -0.045899970951380535, 0.1492343929486678, -0.04724549855215146, -0.21749261831111438, 0.031219874849707327, 0.3095651314182974, -0.18846425794558053, -0.25389187300358623, 0.10671741209362688, -0.2831961535136489, -0.11522403282442076, 0.14603543307303507, -0.05362070273224483, 0.002487470858185963, -0.010232728975482613, 0.051324542595402284, -0.07550843877697308, -0.256354721330161, 0.36953847589628663, -0.040404859230586544, 0.2407457082080381, 0.019194503219606463, 0.05292736937784973, -0.04414524153518655, 0.058368243900237274, 0.04703929732383104, -0.20966948555052273, 0.03503690719303182, 0.2299704228199142, 0.13400028647087953, 0.12933566415244166, -0.45191514786771114, -0.21649794353939156, 0.162619454589645, 0.19490030125769622, 0.14879492861492669, -0.056375578464255394, -0.24479889488395523, 0.12311004829367876, -0.1469278856071041, -0.19000413546009975, -0.08072575126185684, 0.062005634783931514, -0.02503981858779512, -0.25933665850307613, 0.07559404876682332, 0.06471219779187402, -0.0366078415995135, -0.12276002084425486, -0.06226453449618181, -0.06720763839753892, 0.06819456727791796, 0.13662558420465382, 0.027141494975041817, 0.12197829504387782, -0.1287781535223236, -0.11873245194061276, 0.33405622868415186, -0.039378808049128994, -0.20878829841830712, 0.17393616489134728, -0.18898329404593608, -0.15175515290842775, 0.14666596692986786, 0.0855555331454311, 0.18536501840426353, -0.09034094133359545, 0.15650232372298728, -0.03762820027768612, 0.14379399923046174, 0.18402025655514614, 0.03523285325842581, 0.2714058724423761, 0.07815849093501182, 0.048137654212426724, 0.1435955485157833, -0.012886055747923605, -0.11854673290166401, -0.38585550686454073, -0.10327963849858326, -0.06634081111303257, 0.1262660628561314, -0.13567309091740754, -0.1947904289152254, 0.29659782451413136, 0.09615923599066103, 0.1812795453941148, 0.03640052178491126, 0.17508433374494095, 0.032237517514680375, 0.04515715959646246, 0.13100119409260944, 0.25132422078869937, 0.05989708126906086, 0.09347388187204214, -0.18768951252397315, -0.08055028050679111, 0.10709988175863948] |
710.5234 | Abstract interpolation problem in Nevanlinna classes | The abstract interpolation problem (AIP) in the Schur class was posed V.
Katznelson, A. Kheifets and P. Yuditskii in 1987 as an extension of the V.P.
Potapov's approach to interpolation problems. In the present paper an analog of
the AIP for Nevanlinna classes is considered. The description of solutions of
the AIP is reduced to the description of L-resolvents of some model symmetric
operator associated with the AIP. The latter description is obtained by using
the M.G. Krein's theory of L-resolvent matrices. Both regular and singular
cases of the AIP are treated. The results are illustrated by the following
examples: bitangential interpolation problem, full and truncated moment
problems. It is shown that each of these problems can be included into the
general scheme of the AIP.
| math.CA | the abstract interpolation problem aip in the schur class was posed v katznelson a kheifets and p yuditskii in 1987 as an extension of the vp potapovs approach to interpolation problems in the present paper an analog of the aip for nevanlinna classes is considered the description of solutions of the aip is reduced to the description of lresolvents of some model symmetric operator associated with the aip the latter description is obtained by using the mg kreins theory of lresolvent matrices both regular and singular cases of the aip are treated the results are illustrated by the following examples bitangential interpolation problem full and truncated moment problems it is shown that each of these problems can be included into the general scheme of the aip | [['the', 'abstract', 'interpolation', 'problem', 'aip', 'in', 'the', 'schur', 'class', 'was', 'posed', 'v', 'katznelson', 'a', 'kheifets', 'and', 'p', 'yuditskii', 'in', '1987', 'as', 'an', 'extension', 'of', 'the', 'vp', 'potapovs', 'approach', 'to', 'interpolation', 'problems', 'in', 'the', 'present', 'paper', 'an', 'analog', 'of', 'the', 'aip', 'for', 'nevanlinna', 'classes', 'is', 'considered', 'the', 'description', 'of', 'solutions', 'of', 'the', 'aip', 'is', 'reduced', 'to', 'the', 'description', 'of', 'lresolvents', 'of', 'some', 'model', 'symmetric', 'operator', 'associated', 'with', 'the', 'aip', 'the', 'latter', 'description', 'is', 'obtained', 'by', 'using', 'the', 'mg', 'kreins', 'theory', 'of', 'lresolvent', 'matrices', 'both', 'regular', 'and', 'singular', 'cases', 'of', 'the', 'aip', 'are', 'treated', 'the', 'results', 'are', 'illustrated', 'by', 'the', 'following', 'examples', 'bitangential', 'interpolation', 'problem', 'full', 'and', 'truncated', 'moment', 'problems', 'it', 'is', 'shown', 'that', 'each', 'of', 'these', 'problems', 'can', 'be', 'included', 'into', 'the', 'general', 'scheme', 'of', 'the', 'aip']] | [-0.08057842390412735, 0.013655614031097597, -0.054701759299683954, 0.08745793719971252, -0.029973171411022063, -0.10313309777543068, -0.016015410666906035, 0.29476498067942297, -0.27914714168817284, -0.2549601386098431, 0.13171422505477112, -0.2595838995860709, -0.15801280650926092, 0.2108187689765116, -0.12053601939283733, 0.056272701198805966, 0.04198307996510618, 0.03529136138217103, -0.0853988756632222, -0.2615711749306009, 0.33519198285460833, 0.033283872672566966, 0.20908516636043187, 0.05232692840922203, 0.06788389893594168, 0.012405233705536492, -0.056983752885923514, 0.030694857006056415, -0.10611661622938447, 0.15605550786224945, 0.27185493024749563, 0.14163980732536724, 0.2709231545487719, -0.36592687633932536, -0.18389697845334246, 0.0895144960001832, 0.07302118116433942, 0.059272524697946444, 0.0011985056447766482, -0.28888828212755824, 0.09669658209895715, -0.14886481991608538, -0.14914003855759098, -0.034467355546263616, 0.023331260695422608, 0.02519654298028458, -0.32080056125132905, 0.05973794849048699, 0.11857408176564926, 0.025664573124114184, -0.10543569993610764, -0.15838985995581042, 0.027390222561324104, 0.04950964193971407, 0.0029240512174569192, 0.03664111890905206, 0.010898338029942205, -0.08711954389112972, -0.12631435875758348, 0.4109287657718655, -0.010159465473993951, -0.21653807044570003, 0.12613661426510062, -0.09504917765321631, -0.10731478433515276, 0.09660012854616187, 0.12017444266764928, 0.1459030188722658, -0.12280887246672664, 0.18233478332413436, -0.11075009795040974, 0.09158474589498984, 0.07988114358346549, -0.041435017203067186, 0.07694839989022922, 0.09731038372528049, 0.04978497903099314, 0.13864256802950084, -0.008307127509221074, -0.08975170465419069, -0.33558036061942637, -0.13997976209277346, -0.16732568451533875, 0.02273817100344346, -0.07496607389111887, -0.17009600227949354, 0.4029998910349487, 0.08882038746284501, 0.14552128032946418, 0.03585260660357533, 0.22915083755769075, 0.19968813638890073, -0.0014263935041643919, 0.04832668198392757, 0.18426418609118217, 0.191142299366484, 0.09818019470079772, -0.19394818732267124, 0.011196828736442952, 0.16335514063511283] |
710.5235 | Unsaturated Throughput Analysis of IEEE 802.11 in Presence of Non Ideal
Transmission Channel and Capture Effects | In this paper, we provide a throughput analysis of the IEEE 802.11 protocol
at the data link layer in non-saturated traffic conditions taking into account
the impact of both transmission channel and capture effects in Rayleigh fading
environment. The impact of both non-ideal channel and capture become important
in terms of the actual observed throughput in typical network conditions
whereby traffic is mainly unsaturated, especially in an environment of high
interference.
We extend the multi-dimensional Markovian state transition model
characterizing the behavior at the MAC layer by including transmission states
that account for packet transmission failures due to errors caused by
propagation through the channel, along with a state characterizing the system
when there are no packets to be transmitted in the buffer of a station.
Finally, we derive a linear model of the throughput along with its interval of
validity.
Simulation results closely match the theoretical derivations confirming the
effectiveness of the proposed model.
| cs.NI | in this paper we provide a throughput analysis of the ieee 80211 protocol at the data link layer in nonsaturated traffic conditions taking into account the impact of both transmission channel and capture effects in rayleigh fading environment the impact of both nonideal channel and capture become important in terms of the actual observed throughput in typical network conditions whereby traffic is mainly unsaturated especially in an environment of high interference we extend the multidimensional markovian state transition model characterizing the behavior at the mac layer by including transmission states that account for packet transmission failures due to errors caused by propagation through the channel along with a state characterizing the system when there are no packets to be transmitted in the buffer of a station finally we derive a linear model of the throughput along with its interval of validity simulation results closely match the theoretical derivations confirming the effectiveness of the proposed model | [['in', 'this', 'paper', 'we', 'provide', 'a', 'throughput', 'analysis', 'of', 'the', 'ieee', '80211', 'protocol', 'at', 'the', 'data', 'link', 'layer', 'in', 'nonsaturated', 'traffic', 'conditions', 'taking', 'into', 'account', 'the', 'impact', 'of', 'both', 'transmission', 'channel', 'and', 'capture', 'effects', 'in', 'rayleigh', 'fading', 'environment', 'the', 'impact', 'of', 'both', 'nonideal', 'channel', 'and', 'capture', 'become', 'important', 'in', 'terms', 'of', 'the', 'actual', 'observed', 'throughput', 'in', 'typical', 'network', 'conditions', 'whereby', 'traffic', 'is', 'mainly', 'unsaturated', 'especially', 'in', 'an', 'environment', 'of', 'high', 'interference', 'we', 'extend', 'the', 'multidimensional', 'markovian', 'state', 'transition', 'model', 'characterizing', 'the', 'behavior', 'at', 'the', 'mac', 'layer', 'by', 'including', 'transmission', 'states', 'that', 'account', 'for', 'packet', 'transmission', 'failures', 'due', 'to', 'errors', 'caused', 'by', 'propagation', 'through', 'the', 'channel', 'along', 'with', 'a', 'state', 'characterizing', 'the', 'system', 'when', 'there', 'are', 'no', 'packets', 'to', 'be', 'transmitted', 'in', 'the', 'buffer', 'of', 'a', 'station', 'finally', 'we', 'derive', 'a', 'linear', 'model', 'of', 'the', 'throughput', 'along', 'with', 'its', 'interval', 'of', 'validity', 'simulation', 'results', 'closely', 'match', 'the', 'theoretical', 'derivations', 'confirming', 'the', 'effectiveness', 'of', 'the', 'proposed', 'model']] | [-0.2225209149359275, 0.0480647007642772, -0.05525125228234702, 0.0137259409267215, 0.015895850125760322, -0.17249830227885996, 0.11517674487099172, 0.36271865016390237, -0.2639382549696752, -0.27198561690747736, 0.11045741013236224, -0.2504793571969194, -0.1444274348026562, 0.1557381575867053, -0.07327492394063982, 0.07071897576735806, 0.07682760229574577, 0.02588134920243324, 0.0025139740623173214, -0.23075316330012416, 0.30887708756171406, 0.12381633547314953, 0.34794109090712044, 0.08186219022759507, 0.05073821566691021, 0.04274387547536002, -0.0334174549687774, -0.011378240850453655, -0.10255207878921459, 0.029301007414582154, 0.2525855545074709, 0.1097332273009083, 0.23389033514165108, -0.48098331368978947, -0.3072019755539875, 0.037488295932510685, 0.12750495261542738, 0.06856708737510828, -0.02123496496388989, -0.30088671061300465, 0.10670338192534062, -0.2134161248262371, -0.07371884651778776, 0.029066720034085936, -0.054044739433353944, 0.04510963319260026, -0.30228603463019094, 0.052673401762430946, 0.02908841849815461, 0.04804359583124038, -0.07328096584401905, -0.06079163401060918, -0.025039868137889332, 0.17806534323214193, 0.049788615676093724, -0.07427482201883029, 0.10161608988419175, -0.13915691997765775, -0.06675703195674766, 0.39929097010002984, -0.04238276636385689, -0.1869773513727611, 0.14816728559765785, -0.1254148957745788, -0.06556933570142474, 0.1790827564534641, 0.2420583623761852, 0.018780137559459092, -0.16058532569994924, 0.012218933671923175, -0.017057861513908833, 0.14553332379418274, 0.057355632593915344, 0.10372993432420997, 0.15213924252217817, 0.20777224786429396, 0.043934443172427916, 0.15107423402143702, -0.1296059116976516, -0.15138532293419685, -0.275773400146394, -0.13058737093402492, -0.14394563921697198, -0.018242430206268066, -0.077833221371909, -0.09941006692186478, 0.3939249252479884, 0.18771497363190828, 0.1991886020788262, 0.08407532594527208, 0.371133900662103, 0.13039725396421648, 0.021659093407253104, 0.12083658226765692, 0.2165288103443961, 0.13394169380602938, 0.13118969590793694, -0.2473229131360929, 0.15270202861227575, -0.04156590373285355] |
710.5236 | Saturation Throughput Analysis of IEEE 802.11 in Presence of Non Ideal
Transmission Channel and Capture Effects | In this paper, we provide a saturation throughput analysis of the IEEE 802.11
protocol at the data link layer by including the impact of both transmission
channel and capture effects in Rayleigh fading environment. Impacts of both
non-ideal channel and capture effects, specially in an environment of high
interference, become important in terms of the actual observed throughput. As
far as the 4-way handshaking mechanism is concerned, we extend the
multi-dimensional Markovian state transition model characterizing the behavior
at the MAC layer by including transmission states that account for packet
transmission failures due to errors caused by propagation through the channel.
This way, any channel model characterizing the physical transmission medium can
be accommodated, including AWGN and fading channels. We also extend the Markov
model in order to consider the behavior of the contention window when employing
the basic 2-way handshaking mechanism.
Under the usual assumptions regarding the traffic generated per node and
independence of packet collisions, we solve for the stationary probabilities of
the Markov chain and develop expressions for the saturation throughput as a
function of the number of terminals, packet sizes, raw channel error rates,
capture probability, and other key system parameters. The theoretical
derivations are then compared to simulation results confirming the
effectiveness of the proposed models.
| cs.NI | in this paper we provide a saturation throughput analysis of the ieee 80211 protocol at the data link layer by including the impact of both transmission channel and capture effects in rayleigh fading environment impacts of both nonideal channel and capture effects specially in an environment of high interference become important in terms of the actual observed throughput as far as the 4way handshaking mechanism is concerned we extend the multidimensional markovian state transition model characterizing the behavior at the mac layer by including transmission states that account for packet transmission failures due to errors caused by propagation through the channel this way any channel model characterizing the physical transmission medium can be accommodated including awgn and fading channels we also extend the markov model in order to consider the behavior of the contention window when employing the basic 2way handshaking mechanism under the usual assumptions regarding the traffic generated per node and independence of packet collisions we solve for the stationary probabilities of the markov chain and develop expressions for the saturation throughput as a function of the number of terminals packet sizes raw channel error rates capture probability and other key system parameters the theoretical derivations are then compared to simulation results confirming the effectiveness of the proposed models | [['in', 'this', 'paper', 'we', 'provide', 'a', 'saturation', 'throughput', 'analysis', 'of', 'the', 'ieee', '80211', 'protocol', 'at', 'the', 'data', 'link', 'layer', 'by', 'including', 'the', 'impact', 'of', 'both', 'transmission', 'channel', 'and', 'capture', 'effects', 'in', 'rayleigh', 'fading', 'environment', 'impacts', 'of', 'both', 'nonideal', 'channel', 'and', 'capture', 'effects', 'specially', 'in', 'an', 'environment', 'of', 'high', 'interference', 'become', 'important', 'in', 'terms', 'of', 'the', 'actual', 'observed', 'throughput', 'as', 'far', 'as', 'the', '4way', 'handshaking', 'mechanism', 'is', 'concerned', 'we', 'extend', 'the', 'multidimensional', 'markovian', 'state', 'transition', 'model', 'characterizing', 'the', 'behavior', 'at', 'the', 'mac', 'layer', 'by', 'including', 'transmission', 'states', 'that', 'account', 'for', 'packet', 'transmission', 'failures', 'due', 'to', 'errors', 'caused', 'by', 'propagation', 'through', 'the', 'channel', 'this', 'way', 'any', 'channel', 'model', 'characterizing', 'the', 'physical', 'transmission', 'medium', 'can', 'be', 'accommodated', 'including', 'awgn', 'and', 'fading', 'channels', 'we', 'also', 'extend', 'the', 'markov', 'model', 'in', 'order', 'to', 'consider', 'the', 'behavior', 'of', 'the', 'contention', 'window', 'when', 'employing', 'the', 'basic', '2way', 'handshaking', 'mechanism', 'under', 'the', 'usual', 'assumptions', 'regarding', 'the', 'traffic', 'generated', 'per', 'node', 'and', 'independence', 'of', 'packet', 'collisions', 'we', 'solve', 'for', 'the', 'stationary', 'probabilities', 'of', 'the', 'markov', 'chain', 'and', 'develop', 'expressions', 'for', 'the', 'saturation', 'throughput', 'as', 'a', 'function', 'of', 'the', 'number', 'of', 'terminals', 'packet', 'sizes', 'raw', 'channel', 'error', 'rates', 'capture', 'probability', 'and', 'other', 'key', 'system', 'parameters', 'the', 'theoretical', 'derivations', 'are', 'then', 'compared', 'to', 'simulation', 'results', 'confirming', 'the', 'effectiveness', 'of', 'the', 'proposed', 'models']] | [-0.19671083724576433, 0.07341201991010822, -0.045327336070573584, 0.056458625499428344, -0.002797431292639101, -0.18784181826187396, 0.11556550780045292, 0.35720109012666473, -0.2848637661547952, -0.27761653557163773, 0.10129335069073302, -0.2472474575351694, -0.14215798711104063, 0.14670930213021263, -0.07099054649172094, 0.10184149950151265, 0.06070715956769495, 0.030453433289432067, -0.0006432588646956388, -0.23256269130045856, 0.31658709521506917, 0.14150654581503422, 0.33028125427928157, 0.06452553104294764, 0.06506510910090342, 0.06231688339731069, -0.03285028209845796, -0.043609360292536245, -0.12023968321356897, 0.022763593444436285, 0.2366304566023323, 0.1303941765248387, 0.23318596156005045, -0.45859254287970713, -0.3090825824561348, 0.060659044230206745, 0.1471303023764272, 0.08817049722290395, -0.012025404221629857, -0.291495871709183, 0.10726610625546726, -0.23088930587844825, -0.07285905517974285, 0.007138277957948604, -0.05598933024826279, 0.059146059485002296, -0.32633523292998423, 0.06141801680792984, 0.039818074281649636, 0.028848894333281506, -0.04010890690186083, -0.09079542634423858, 0.008948654658050758, 0.17114772541755788, 0.048635641457204004, -0.06230785715188478, 0.1291266400620818, -0.13459885141081773, -0.11553339227168904, 0.3762753504368154, -0.02755545072811457, -0.19922467883923467, 0.1459818679049845, -0.10746583230923133, -0.05502843298459364, 0.15495790240147386, 0.24133526107464073, 0.05008362448372618, -0.17064960602753942, 0.01971888482422784, -0.001978546367755151, 0.1499752522417525, 0.07007112765631758, 0.1290622497666009, 0.1279738055314798, 0.19166154220978338, 0.030093529356546453, 0.1452802543501343, -0.12909916382375664, -0.15074012019799501, -0.2794851808327634, -0.12117596465906115, -0.14946508391482216, -0.005976921378886459, -0.08890906801864933, -0.09559390770703978, 0.3821531404604279, 0.19066003712942323, 0.18309790327382536, 0.10411953820043654, 0.36537650110138253, 0.1262514879557379, 0.02296821672554344, 0.11459690204411038, 0.18728289707294574, 0.13974522386613564, 0.10443399140779017, -0.22602089570164327, 0.16736010256470557, -0.018209044210242012] |
710.5237 | Urban and Scientific Segregation: The Schelling-Ising Model | Urban segregation of different communities, like blacks and whites in the
USA, has been simulated by Ising-like models since Schelling 1971. This
research was accompanied by a scientific segregation, with sociologists and
physicists ignoring each other until 2000. We review recent progress and also
present some new two-temperature multi-cultural simulations.
| physics.soc-ph | urban segregation of different communities like blacks and whites in the usa has been simulated by isinglike models since schelling 1971 this research was accompanied by a scientific segregation with sociologists and physicists ignoring each other until 2000 we review recent progress and also present some new twotemperature multicultural simulations | [['urban', 'segregation', 'of', 'different', 'communities', 'like', 'blacks', 'and', 'whites', 'in', 'the', 'usa', 'has', 'been', 'simulated', 'by', 'isinglike', 'models', 'since', 'schelling', '1971', 'this', 'research', 'was', 'accompanied', 'by', 'a', 'scientific', 'segregation', 'with', 'sociologists', 'and', 'physicists', 'ignoring', 'each', 'other', 'until', '2000', 'we', 'review', 'recent', 'progress', 'and', 'also', 'present', 'some', 'new', 'twotemperature', 'multicultural', 'simulations']] | [-0.02068401254247874, 0.1650286438083276, -0.08915981743484735, 0.071833198859822, -0.10210191700607538, -0.1264033925937838, 0.030254386658780278, 0.3775821550935507, -0.15935776434838772, -0.3992057500034571, 0.10529980664839968, -0.30693910367786886, -0.1846474360395223, 0.1420073386223521, -0.0688942870311439, 0.029953556461259724, 0.07244265933637507, -0.05723511466756463, 0.004939484396018088, -0.3303987114131451, 0.2573398096114397, 0.09827358486130834, 0.30692223792895673, 0.0814454523846507, 0.049231225089170036, -0.03753927377052605, -0.08376835235627368, 0.05567327177384868, -0.17466077262710314, 0.11160700908862055, 0.25323400117784334, 0.1855946452310309, 0.3878273316472769, -0.4475856304913759, -0.265452630398795, 0.0473665463924408, 0.12615633382461966, 0.09876661675982178, -0.09901760431006551, -0.32834605731070043, -0.01715148357208818, -0.2544422702863812, -0.11959046831354499, -0.040217643566429616, 0.11507453549653292, 0.03311048239469528, -0.14714350983966143, 0.0935722857475048, 0.05459438887890428, 0.17258366820402443, -0.006784923644736409, -0.17532345185987652, -0.010674740215763449, 0.14733060838887468, 0.08151264077052474, 0.02429994923528284, 0.1090064867772162, -0.09407698787283153, -0.15886942982673646, 0.3544264467060566, 0.001482760440558195, -0.043933686893433334, 0.26826494554057717, -0.1301433254405856, -0.21888183956965804, 0.06465531208086758, 0.1161306394636631, 0.0253301600785926, -0.208467531343922, 0.06486952607170679, -0.09923085710965097, 0.09521674840711057, 0.10206866221502424, -0.12770741954445838, 0.23662832325324415, 0.22304880820214748, -0.02455181668512523, 0.10202452736790292, -0.023626827150583268, -0.1636842521466315, -0.1286980675533414, -0.09997765531763435, -0.13344328174367548, 0.02296854098793119, -0.012841313731914852, -0.09070099281147122, 0.38413483157753947, 0.1641370202973485, 0.11536251347046346, -0.0401779412291944, 0.2178508630953729, -0.008087688647210598, 0.010934694670140743, 0.10163320306688547, 0.224690687165712, 0.07453991808928549, 0.2311516972631216, -0.12552667948417365, 0.14117446032585576, 0.011662642927840352] |
710.5238 | On The Linear Behaviour of the Throughput of IEEE 802.11 DCF in
Non-Saturated Conditions | We propose a linear model of the throughput of the IEEE 802.11 Distributed
Coordination Function (DCF) protocol at the data link layer in non-saturated
traffic conditions. We show that the throughput is a linear function of the
packet arrival rate (PAR) $\lambda$ with a slope depending on both the number
of contending stations and the average payload length. We also derive the
interval of validity of the proposed model by showing the presence of a
critical $\lambda$, above which the station begins operating in saturated
traffic conditions.
The analysis is based on the multi-dimensional Markovian state transition
model proposed by Liaw \textit{et al.} with the aim of describing the behaviour
of the MAC layer in unsaturated traffic conditions. Simulation results closely
match the theoretical derivations, confirming the effectiveness of the proposed
linear model.
| cs.NI | we propose a linear model of the throughput of the ieee 80211 distributed coordination function dcf protocol at the data link layer in nonsaturated traffic conditions we show that the throughput is a linear function of the packet arrival rate par lambda with a slope depending on both the number of contending stations and the average payload length we also derive the interval of validity of the proposed model by showing the presence of a critical lambda above which the station begins operating in saturated traffic conditions the analysis is based on the multidimensional markovian state transition model proposed by liaw textitet al with the aim of describing the behaviour of the mac layer in unsaturated traffic conditions simulation results closely match the theoretical derivations confirming the effectiveness of the proposed linear model | [['we', 'propose', 'a', 'linear', 'model', 'of', 'the', 'throughput', 'of', 'the', 'ieee', '80211', 'distributed', 'coordination', 'function', 'dcf', 'protocol', 'at', 'the', 'data', 'link', 'layer', 'in', 'nonsaturated', 'traffic', 'conditions', 'we', 'show', 'that', 'the', 'throughput', 'is', 'a', 'linear', 'function', 'of', 'the', 'packet', 'arrival', 'rate', 'par', 'lambda', 'with', 'a', 'slope', 'depending', 'on', 'both', 'the', 'number', 'of', 'contending', 'stations', 'and', 'the', 'average', 'payload', 'length', 'we', 'also', 'derive', 'the', 'interval', 'of', 'validity', 'of', 'the', 'proposed', 'model', 'by', 'showing', 'the', 'presence', 'of', 'a', 'critical', 'lambda', 'above', 'which', 'the', 'station', 'begins', 'operating', 'in', 'saturated', 'traffic', 'conditions', 'the', 'analysis', 'is', 'based', 'on', 'the', 'multidimensional', 'markovian', 'state', 'transition', 'model', 'proposed', 'by', 'liaw', 'textitet', 'al', 'with', 'the', 'aim', 'of', 'describing', 'the', 'behaviour', 'of', 'the', 'mac', 'layer', 'in', 'unsaturated', 'traffic', 'conditions', 'simulation', 'results', 'closely', 'match', 'the', 'theoretical', 'derivations', 'confirming', 'the', 'effectiveness', 'of', 'the', 'proposed', 'linear', 'model']] | [-0.21461425054751868, 0.036327680198237636, -0.05859520100133714, -0.0248113284570242, -0.018374281805848942, -0.14572270795758954, 0.1229125629004119, 0.3328069957337321, -0.23469329993345572, -0.2853101943444489, 0.07166711492131331, -0.250798164789838, -0.15219255808838889, 0.16408119758300455, -0.07022918629831165, 0.10822758119539323, 0.034714488071018366, 0.05807786171247525, -0.010380636058621724, -0.2649715042469981, 0.28543226846364234, 0.1306024293408246, 0.3779420001096183, 0.060116892288389956, 0.08702543879337468, 0.018239482281435477, -0.016555392544863646, -0.023739292471900694, -0.1511036196894374, 0.0591387251484789, 0.23380982719669888, 0.1278913115865474, 0.24638177353636662, -0.41779451017597113, -0.2583199129895048, 0.04031447200559752, 0.06582919524324343, 0.014083504392345316, -0.0014265227653226234, -0.28133324385249525, 0.1220415945241886, -0.1993816452016844, -0.10426600477693224, 0.04621131808139888, -0.05108113387683617, 0.09727217313043628, -0.3223813131899762, 0.058831607221574975, 0.04376666813465606, 0.05980477178415907, -0.08044187404185575, -0.07963864334278628, -0.03609532163359393, 0.1054163950992594, 0.03237757766689349, -0.039973773399220876, 0.10891140836003915, -0.1136571341089176, -0.09184710706297056, 0.3641438218659924, -0.09512800135110554, -0.16494891999807573, 0.16604774352338136, -0.09511486789617772, -0.08222390092818305, 0.11877524185596608, 0.18050949500621596, 0.07994717405058611, -0.13802433264602845, 0.06847922900591843, -0.09509723385116715, 0.1940479906121815, 0.05509143072719637, 0.014035771398707047, 0.12388617282775335, 0.22941442411673024, 0.08329253666158906, 0.12634514868994684, -0.11655982374388696, -0.15854327397331722, -0.3006064043331303, -0.12312590080852572, -0.17261073552422168, -0.01930622254046209, -0.11482511081938944, -0.09748160410532378, 0.3973812194246995, 0.16758778202062985, 0.1962630856551118, 0.13124669791475863, 0.3195852935734324, 0.12488018953822609, 0.014740421877879845, 0.1302259341617556, 0.20423451558287656, 0.10120287733380087, 0.14677869657376655, -0.26394047529245834, 0.11060600269662875, 0.05052397061923617] |
710.5239 | Generalised quantum weakest preconditions | Generalisation of the quantum weakest precondition result of D'Hondt and
Panangaden is presented. In particular the most general notion of quantum
predicate as positive operator valued measure (POVM) is introduced. The
previously known quantum weakest precondition result has been extended to cover
the case of POVM playing the role of a quantum predicate. Additionally, our
result is valid in infinite dimension case and also holds for a quantum
programs defined as a positive but not necessary completely positive
transformations of a quantum states.
| quant-ph | generalisation of the quantum weakest precondition result of dhondt and panangaden is presented in particular the most general notion of quantum predicate as positive operator valued measure povm is introduced the previously known quantum weakest precondition result has been extended to cover the case of povm playing the role of a quantum predicate additionally our result is valid in infinite dimension case and also holds for a quantum programs defined as a positive but not necessary completely positive transformations of a quantum states | [['generalisation', 'of', 'the', 'quantum', 'weakest', 'precondition', 'result', 'of', 'dhondt', 'and', 'panangaden', 'is', 'presented', 'in', 'particular', 'the', 'most', 'general', 'notion', 'of', 'quantum', 'predicate', 'as', 'positive', 'operator', 'valued', 'measure', 'povm', 'is', 'introduced', 'the', 'previously', 'known', 'quantum', 'weakest', 'precondition', 'result', 'has', 'been', 'extended', 'to', 'cover', 'the', 'case', 'of', 'povm', 'playing', 'the', 'role', 'of', 'a', 'quantum', 'predicate', 'additionally', 'our', 'result', 'is', 'valid', 'in', 'infinite', 'dimension', 'case', 'and', 'also', 'holds', 'for', 'a', 'quantum', 'programs', 'defined', 'as', 'a', 'positive', 'but', 'not', 'necessary', 'completely', 'positive', 'transformations', 'of', 'a', 'quantum', 'states']] | [-0.13375496105515364, 0.12702108775994864, -0.06368168174143297, 0.10441115574703652, -0.07157263168167458, -0.20932475398911768, 0.0370813489033201, 0.281002043645425, -0.22709014919917492, -0.22255218029022217, 0.06054829922504723, -0.22702891343688392, -0.17014698807643838, 0.2043551290856607, -0.09676467427557492, 0.12121761193728994, 0.008413289942924517, 0.10161976155499558, -0.03968093789979277, -0.27871298120660054, 0.34107484479984607, 0.02956980177627719, 0.21136074881237674, 0.10183928260602147, 0.1071072890344693, 0.042583207156598926, -0.007011023787669389, 0.04889284718377763, -0.07706333809049733, 0.059035890365400946, 0.3165113802505545, 0.1812825577995594, 0.28232033912047566, -0.32950037576437713, -0.17547597338905535, 0.13522564832553133, 0.0667801455830235, 0.11811530186110232, -0.04972501507545092, -0.2930546599911548, 0.1066810202571642, -0.18082685072917537, -0.14347501394215478, -0.07856036776519683, 0.0509211254104164, -0.08332105960517404, -0.2807239571934095, 0.022511330205618952, 0.2096704996516367, 0.07646477675761085, -0.02648166357259075, -0.06517770899184812, 0.008507159987397223, 0.13063434924767633, -0.07875432185996997, 0.05725904315266848, 0.09370120116565601, -0.05694944822195783, -0.19747830196900898, 0.37483478150700766, -0.03873759339821626, -0.23882856632930688, 0.14372117362961354, -0.12749343303716684, -0.16773347529661226, 0.027780874435935753, 0.050543322586959386, 0.1699682038771101, -0.09155663250979171, 0.15089900752232152, -0.10138855256274881, 0.16545757897624588, 0.10268809542015016, 0.1202834653815378, 0.14691783837884306, 0.054654655128111504, 0.16131056073200273, 0.17741730657731553, 0.02317281434290021, -0.181544922909374, -0.3546758775475873, -0.24309396233089853, -0.19518259121666112, 0.104119235809776, -0.029540250565595814, -0.21571672649448176, 0.3433827668069357, 0.09187951565058117, 0.12417608829417143, 0.06757542960547719, 0.23778271277614657, 0.15986097619885645, 0.06431294291656105, 0.01823345249159688, 0.19151606944849692, 0.24413832990699505, 0.07580012366097107, -0.15098862489404896, 0.1403219354709229, 0.10127781150604498] |
710.524 | Spintronics with NSN Junction of one-dimensional quantum wires : A study
of Pure Spin Current and Magnetoresistance | We demonstrate possible scenarios for production of pure spin current and
large tunnelling magnetoresistance ratios from elastic co-tunnelling and
crossed Andreev reflection across a superconducting junction comprising of
normal metal-superconductor-normal metal, where, the normal metal is a
one-dimensional interacting quantum wire. We show that there are fixed points
in the theory which correspond to the case of pure spin current. We analyze the
influence of electron-electron interaction and see how it stabilizes or
de-stabilizes the production of pure spin current. These fixed points can be of
direct experimental relevance for spintronics application of normal
metal-superconductor-normal metal junctions of one-dimensional quantum wires.
We also calculate the power law temperature dependence of the crossed Andreev
reflection enhanced tunnelling magnetoresistance ratio for the normal
metal-superconductor-normal metal junction.
| cond-mat.mes-hall | we demonstrate possible scenarios for production of pure spin current and large tunnelling magnetoresistance ratios from elastic cotunnelling and crossed andreev reflection across a superconducting junction comprising of normal metalsuperconductornormal metal where the normal metal is a onedimensional interacting quantum wire we show that there are fixed points in the theory which correspond to the case of pure spin current we analyze the influence of electronelectron interaction and see how it stabilizes or destabilizes the production of pure spin current these fixed points can be of direct experimental relevance for spintronics application of normal metalsuperconductornormal metal junctions of onedimensional quantum wires we also calculate the power law temperature dependence of the crossed andreev reflection enhanced tunnelling magnetoresistance ratio for the normal metalsuperconductornormal metal junction | [['we', 'demonstrate', 'possible', 'scenarios', 'for', 'production', 'of', 'pure', 'spin', 'current', 'and', 'large', 'tunnelling', 'magnetoresistance', 'ratios', 'from', 'elastic', 'cotunnelling', 'and', 'crossed', 'andreev', 'reflection', 'across', 'a', 'superconducting', 'junction', 'comprising', 'of', 'normal', 'metalsuperconductornormal', 'metal', 'where', 'the', 'normal', 'metal', 'is', 'a', 'onedimensional', 'interacting', 'quantum', 'wire', 'we', 'show', 'that', 'there', 'are', 'fixed', 'points', 'in', 'the', 'theory', 'which', 'correspond', 'to', 'the', 'case', 'of', 'pure', 'spin', 'current', 'we', 'analyze', 'the', 'influence', 'of', 'electronelectron', 'interaction', 'and', 'see', 'how', 'it', 'stabilizes', 'or', 'destabilizes', 'the', 'production', 'of', 'pure', 'spin', 'current', 'these', 'fixed', 'points', 'can', 'be', 'of', 'direct', 'experimental', 'relevance', 'for', 'spintronics', 'application', 'of', 'normal', 'metalsuperconductornormal', 'metal', 'junctions', 'of', 'onedimensional', 'quantum', 'wires', 'we', 'also', 'calculate', 'the', 'power', 'law', 'temperature', 'dependence', 'of', 'the', 'crossed', 'andreev', 'reflection', 'enhanced', 'tunnelling', 'magnetoresistance', 'ratio', 'for', 'the', 'normal', 'metalsuperconductornormal', 'metal', 'junction']] | [-0.2060990386319557, 0.19872391840533143, -0.01066783902933821, 0.019818308461840534, -0.02619632894563819, -0.20513890467343793, 0.09831740688288494, 0.3660451985084482, -0.24846812209955627, -0.24549258709134114, -0.052966672578834056, -0.3326234909135007, -0.12115225166029807, 0.2147661045234981, 0.050266945084947494, -0.019790251761855136, -0.025925577873544346, -0.026239874806525485, -0.10800754920543817, -0.19449757490186922, 0.3336696065849655, -0.05074387641000231, 0.363982186382336, 0.09416234325767765, 0.03345404659968711, 0.028300301318297222, 0.09620395136317389, 0.045304225502355445, -0.13748557308545353, -0.002467866960702644, 0.2738837835518831, -0.10026707932833702, 0.09875149300862704, -0.4967851279333474, -0.13895558683584713, 0.06791537000061644, 0.12539470888535312, 0.14349315622952888, -0.0702645511163639, -0.2611051288174255, 0.027973463854587245, -0.21004491805609676, -0.1281078987507968, -0.04327452366030024, -0.005899251776657278, -0.008260617002604468, -0.24755329763396614, 0.09760585851425628, 0.0585303814009568, 0.04278008835465317, -0.01772267175012178, -0.09457125985007282, -0.08220440213898977, 0.05726150585330963, 0.00047503448384363323, -0.050335183923673484, 0.21508637739762274, -0.13728974831211682, -0.1381529408822497, 0.3035222677694213, -0.08018734472082747, -0.10815571357435998, 0.18850293468623872, -0.20735188041045707, -0.021907864912082593, 0.1266060002493642, 0.11046606706710713, 0.10075720523667359, -0.11784020281817403, 0.1043321306938343, -0.03104854093943422, 0.07579882023433569, 0.08784438646961784, 0.048158779759110225, 0.2893691306441812, 0.20777066024921595, 0.047006494534622516, 0.14159138290297932, -0.15012403777349861, -0.07694962706403702, -0.27878168218904326, -0.23298655278349836, -0.17222719202512846, 0.15526471873031808, -0.05704479148804357, -0.23552087424773602, 0.35899812713145246, 0.15537967318068108, 0.17819578639952646, -0.05017125620361185, 0.29300669415463365, 0.17394715485974185, 0.030808404065488328, 0.005136600950913083, 0.2236303797894394, 0.20959254044799075, 0.08018897685988416, -0.3102994037946055, 0.0758345679327425, -0.05685287852951836] |
710.5241 | Connection Between System Parameters and Localization Probability in
Network of Randomly Distributed Nodes | This article deals with localization probability in a network of randomly
distributed communication nodes contained in a bounded domain. A fraction of
the nodes denoted as L-nodes are assumed to have localization information while
the rest of the nodes denoted as NL nodes do not. The basic model assumes each
node has a certain radio coverage within which it can make relative distance
measurements. We model both the case radio coverage is fixed and the case radio
coverage is determined by signal strength measurements in a Log-Normal
Shadowing environment. We apply the probabilistic method to determine the
probability of NL-node localization as a function of the coverage area to
domain area ratio and the density of L-nodes. We establish analytical
expressions for this probability and the transition thresholds with respect to
key parameters whereby marked change in the probability behavior is observed.
The theoretical results presented in the article are supported by simulations.
| cs.NI cs.DM cs.IT math.IT | this article deals with localization probability in a network of randomly distributed communication nodes contained in a bounded domain a fraction of the nodes denoted as lnodes are assumed to have localization information while the rest of the nodes denoted as nl nodes do not the basic model assumes each node has a certain radio coverage within which it can make relative distance measurements we model both the case radio coverage is fixed and the case radio coverage is determined by signal strength measurements in a lognormal shadowing environment we apply the probabilistic method to determine the probability of nlnode localization as a function of the coverage area to domain area ratio and the density of lnodes we establish analytical expressions for this probability and the transition thresholds with respect to key parameters whereby marked change in the probability behavior is observed the theoretical results presented in the article are supported by simulations | [['this', 'article', 'deals', 'with', 'localization', 'probability', 'in', 'a', 'network', 'of', 'randomly', 'distributed', 'communication', 'nodes', 'contained', 'in', 'a', 'bounded', 'domain', 'a', 'fraction', 'of', 'the', 'nodes', 'denoted', 'as', 'lnodes', 'are', 'assumed', 'to', 'have', 'localization', 'information', 'while', 'the', 'rest', 'of', 'the', 'nodes', 'denoted', 'as', 'nl', 'nodes', 'do', 'not', 'the', 'basic', 'model', 'assumes', 'each', 'node', 'has', 'a', 'certain', 'radio', 'coverage', 'within', 'which', 'it', 'can', 'make', 'relative', 'distance', 'measurements', 'we', 'model', 'both', 'the', 'case', 'radio', 'coverage', 'is', 'fixed', 'and', 'the', 'case', 'radio', 'coverage', 'is', 'determined', 'by', 'signal', 'strength', 'measurements', 'in', 'a', 'lognormal', 'shadowing', 'environment', 'we', 'apply', 'the', 'probabilistic', 'method', 'to', 'determine', 'the', 'probability', 'of', 'nlnode', 'localization', 'as', 'a', 'function', 'of', 'the', 'coverage', 'area', 'to', 'domain', 'area', 'ratio', 'and', 'the', 'density', 'of', 'lnodes', 'we', 'establish', 'analytical', 'expressions', 'for', 'this', 'probability', 'and', 'the', 'transition', 'thresholds', 'with', 'respect', 'to', 'key', 'parameters', 'whereby', 'marked', 'change', 'in', 'the', 'probability', 'behavior', 'is', 'observed', 'the', 'theoretical', 'results', 'presented', 'in', 'the', 'article', 'are', 'supported', 'by', 'simulations']] | [-0.16982423650100828, 0.08071944868347297, -0.03161741255161663, 0.03384574081438283, -0.03393166405148804, -0.11494623061890404, 0.10854406382267674, 0.38822629481554033, -0.24661465272928276, -0.2933489565446507, 0.06964732637861744, -0.2950120441553493, -0.13454760608263314, 0.11494994503213092, -0.08381280034935723, 0.050430619325488805, 0.022631140165030955, 0.08438677811063826, -0.03851883580287298, -0.18716452597950894, 0.28838039363501594, 0.10114510047559937, 0.3082514839867751, 0.05208744911787411, 0.05533236445548634, 0.014697757791727781, -0.06050882918993011, 0.058803270653976746, -0.14581194256121913, 0.09069868173450231, 0.25690799821168187, 0.1379650253119568, 0.25278762633601826, -0.3710806953410308, -0.24253739743803937, 0.12254485411103815, 0.15993526741241415, 0.057405246766284106, -0.009232421494089068, -0.2825527879813065, 0.11818481064091126, -0.18852915382633606, -0.12082040940721829, 0.029551182575523853, 0.014020274672657252, 0.08752812316447187, -0.2773971379362047, 0.05834885959203045, 0.005423794465071599, 0.0337591936159879, -0.044838303743551175, -0.06556001112796367, -0.0033043315075337886, 0.15948865542964388, 0.02281723121802012, 0.05577626154680426, 0.1246324169014891, -0.11713466887983183, -0.08660151329512397, 0.3696514051655928, -0.02897367739894738, -0.2179218926007161, 0.1684422623924911, -0.1654639635576556, -0.12094726538285613, 0.12320907735576232, 0.18116041934738555, 0.08998586132191122, -0.14750773269372683, 0.0655517335953967, -0.032565525482253485, 0.17469480146964392, 0.028178517351237435, 0.04934017297811806, 0.1779878844693303, 0.16240316642448305, 0.10600579191930593, 0.13391137030130873, -0.14245990552008153, -0.09505812886171043, -0.30754216414565844, -0.10405939143771926, -0.24834301273571327, 0.014154804437518275, -0.07359855825052364, -0.14734115751460194, 0.4119229933433235, 0.12366917311834792, 0.24196636809657018, 0.12583945507959773, 0.2957233308038364, 0.13688430874142796, 0.034420372204234204, 0.08716663839605947, 0.21196476677937123, 0.12537767749124518, 0.07045934656091656, -0.13904469771931569, 0.13404988999478518, 0.018670679205388296] |
710.5242 | A Model of the IEEE 802.11 DCF in Presence of Non Ideal Transmission
Channel and Capture Effects | In this paper, we provide a throughput analysis of the IEEE 802.11 protocol
at the data link layer in non-saturated traffic conditions taking into account
the impact of both transmission channel and capture effects in Rayleigh fading
environment. Impacts of both non-ideal channel and capture become important in
terms of the actual observed throughput in typical network conditions whereby
traffic is mainly unsaturated, specially in an environment of high
interference.
We extend the multi-dimensional Markovian state transition model
characterizing the behavior at the MAC layer by including transmission states
that account for packet transmission failures due to errors caused by
propagation through the channel, along with a state characterizing the system
when there are no packets to be transmitted in the buffer of a station.
| cs.NI | in this paper we provide a throughput analysis of the ieee 80211 protocol at the data link layer in nonsaturated traffic conditions taking into account the impact of both transmission channel and capture effects in rayleigh fading environment impacts of both nonideal channel and capture become important in terms of the actual observed throughput in typical network conditions whereby traffic is mainly unsaturated specially in an environment of high interference we extend the multidimensional markovian state transition model characterizing the behavior at the mac layer by including transmission states that account for packet transmission failures due to errors caused by propagation through the channel along with a state characterizing the system when there are no packets to be transmitted in the buffer of a station | [['in', 'this', 'paper', 'we', 'provide', 'a', 'throughput', 'analysis', 'of', 'the', 'ieee', '80211', 'protocol', 'at', 'the', 'data', 'link', 'layer', 'in', 'nonsaturated', 'traffic', 'conditions', 'taking', 'into', 'account', 'the', 'impact', 'of', 'both', 'transmission', 'channel', 'and', 'capture', 'effects', 'in', 'rayleigh', 'fading', 'environment', 'impacts', 'of', 'both', 'nonideal', 'channel', 'and', 'capture', 'become', 'important', 'in', 'terms', 'of', 'the', 'actual', 'observed', 'throughput', 'in', 'typical', 'network', 'conditions', 'whereby', 'traffic', 'is', 'mainly', 'unsaturated', 'specially', 'in', 'an', 'environment', 'of', 'high', 'interference', 'we', 'extend', 'the', 'multidimensional', 'markovian', 'state', 'transition', 'model', 'characterizing', 'the', 'behavior', 'at', 'the', 'mac', 'layer', 'by', 'including', 'transmission', 'states', 'that', 'account', 'for', 'packet', 'transmission', 'failures', 'due', 'to', 'errors', 'caused', 'by', 'propagation', 'through', 'the', 'channel', 'along', 'with', 'a', 'state', 'characterizing', 'the', 'system', 'when', 'there', 'are', 'no', 'packets', 'to', 'be', 'transmitted', 'in', 'the', 'buffer', 'of', 'a', 'station']] | [-0.2515849147886038, 0.08238253745541442, -0.05108166661113501, 0.01586606323160231, 0.03149158212542534, -0.19723239593580366, 0.1200851230295375, 0.3643223264217377, -0.2800506302863359, -0.2669080403596163, 0.11140779121313243, -0.24910535024106503, -0.14134117924794554, 0.13426959599740804, -0.08233901119977236, 0.06378449263423681, 0.07301780003681779, 0.012640173349762335, 0.022501083133742213, -0.21511178878415377, 0.32780797358974817, 0.11702152631618082, 0.3537863946706057, 0.07764070639014244, 0.04363999031251296, 0.053774968395009635, -0.02587173495441675, -0.020158013285137714, -0.08188551228336291, 0.0029929950064979493, 0.27182959312200544, 0.10200258027017116, 0.22913398241996766, -0.504957608178258, -0.32998610734939576, 0.04894377078302205, 0.13273020850494505, 0.07408497881889343, -0.012137332081794738, -0.30872341367602346, 0.10045839460939168, -0.22021903872489929, -0.050322742261458185, 0.045755879372358324, -0.049029739916324616, 0.03680080447159707, -0.3103166242837906, 0.040507048279978336, 0.019606074515730144, 0.051088931508362294, -0.061887351024895905, -0.04837754498701543, -0.021536953646689654, 0.19205342644196935, 0.04180583123024553, -0.08302455217856913, 0.11199743508920074, -0.15074819455482066, -0.03905828865617514, 0.40337086956202983, -0.03841029524244368, -0.18289464704692363, 0.13802420571586116, -0.11904434545035474, -0.06038017651066184, 0.20260941077768801, 0.27368248003721235, 0.0035336973555386065, -0.17876700977107976, -0.004854882688261569, 0.0074051284864544865, 0.14595204998739064, 0.08011084183678031, 0.12651250306051223, 0.14860012775659562, 0.20614008222334088, 0.064484134465456, 0.14184624633472412, -0.13784309462085367, -0.1432323555648327, -0.25288036799430846, -0.13343324907124043, -0.143800422873348, -0.0028689060052856804, -0.05837116914964281, -0.09919044649600983, 0.37877917544543743, 0.16361087285610848, 0.19469827468693257, 0.04847390390373767, 0.38159027571976184, 0.12656686967611314, 0.030897568203508852, 0.13137045801617206, 0.20679904860258103, 0.11800343814957887, 0.15191975394636392, -0.22993479274585843, 0.1728139411844313, -0.061354826629161835] |
710.5243 | Neutrino emissivity and bulk viscosity of iso-CSL quark matter in
neutron stars | We present results for neutrino emissivities and bulk viscosities of a
two-flavor color superconducting quark matter phase with isotropic
color-spin-locked (iso-CSL) single-flavor pairing which fulfill the constraints
on quark matter derived from cooling and rotational evolution of compact stars.
We compare with results for the phenomenologically successful, but yet
heuristic 2SC+X phase.
| hep-ph astro-ph nucl-th | we present results for neutrino emissivities and bulk viscosities of a twoflavor color superconducting quark matter phase with isotropic colorspinlocked isocsl singleflavor pairing which fulfill the constraints on quark matter derived from cooling and rotational evolution of compact stars we compare with results for the phenomenologically successful but yet heuristic 2scx phase | [['we', 'present', 'results', 'for', 'neutrino', 'emissivities', 'and', 'bulk', 'viscosities', 'of', 'a', 'twoflavor', 'color', 'superconducting', 'quark', 'matter', 'phase', 'with', 'isotropic', 'colorspinlocked', 'isocsl', 'singleflavor', 'pairing', 'which', 'fulfill', 'the', 'constraints', 'on', 'quark', 'matter', 'derived', 'from', 'cooling', 'and', 'rotational', 'evolution', 'of', 'compact', 'stars', 'we', 'compare', 'with', 'results', 'for', 'the', 'phenomenologically', 'successful', 'but', 'yet', 'heuristic', '2scx', 'phase']] | [-0.06434088833003233, 0.28133807063344507, -0.1188841274751422, 0.09831600865492454, -0.11159612180199474, -0.10754699484767535, 0.08995321976432863, 0.38376684218215257, -0.08486874175902742, -0.28848420921713114, 0.005778860824648291, -0.23162724701866794, -0.0048882058651473085, 0.15054430392606613, 0.031407178881076664, 0.04761001747101545, -0.011471711076760234, -0.03158363653794648, -0.17794333434162232, -0.23644630668254998, 0.3667765196520262, -0.039326870715460524, 0.23227158792388553, 0.07845853888787903, 0.062198232465352006, -0.10100559272373524, -0.04236024625312824, -0.04153272989564217, -0.18166416795709386, -0.03343190704114162, 0.2184596247142718, 0.009432199366319064, 0.010789429697279748, -0.42228655316508734, -0.2517116183612066, 0.110742446142607, 0.10174973045930248, 0.13291415979843946, -0.10945537769853567, -0.27002865846197194, 0.04133071505930275, -0.2450109948941435, -0.14051507485027498, -0.1328983688995672, -0.008650534266892534, -0.03459584934171289, -0.2886253282463608, 0.1200334702757223, -0.009959276089480577, -0.013651815869917091, -0.10453305238983236, -0.21090755629568145, -0.036009916462577306, -0.0031912234710314525, 0.06771449253966029, 0.03837689596604413, 0.13220099679892883, -0.19516101791612947, -0.04654847334873361, 0.45177655222897345, -0.08054753447112699, -0.08300552270912494, 0.13390990636365202, -0.1336575742237843, -0.1654748900506932, 0.11636725770166287, 0.118317896195759, 0.07442590727721556, -0.1782660189872751, 0.03426256968165175, -0.043912783215861194, 0.15590865453346991, 0.03618132974952459, 0.0744743616400788, 0.3004304885219496, 0.21984696617493263, 0.0014296796960899462, 0.04173570522107184, -0.09281013789138971, -0.09133698411572438, -0.32050502106833917, -0.07425725197222513, -0.14950588474480006, 0.004859807001104435, -0.10821127494776962, -0.14110409156777537, 0.3709029328579513, 0.10881262368415125, 0.14925749227404594, 0.04075257858270421, 0.2966847109178511, 0.04758167575346306, 0.02474323787744372, 0.12058380654511544, 0.3103767932177736, 0.22106573304000238, 0.14730278924644852, -0.3101557063413426, -0.018162777463798054, 0.0793783270167366] |
710.5244 | A deep i-selected multi-waveband galaxy catalogue in the COSMOS field | In this paper we present a deep and homogeneous i-band selected
multi-waveband catalogue in the COSMOS field covering an area of about 0.7
square-degree. Our catalogue with a formal 50 percent completeness limit for
point sources of i~26.7 comprises about 290.000 galaxies with information in 8
passbands. We combine publicly available u, B, V, r, i, z, and K data with
proprietary imaging in H band. We discuss in detail the observations, the data
reduction, and the photometric properties of the H-band data. We estimate
photometric redshifts for all the galaxies in the catalogue. A comparison with
162 spectroscopic redshifts in the redshift range 0 < z < 3 shows that the
achieved accuracy of the photometric redshifts is (Delta_z / (z_spec+1)) ~0.035
with only ~2 percent outliers. We derive absolute UV magnitudes and investigate
the evolution of the luminosity function evaluated in the rest-frame UV at 1500
Angstrom. There is a good agreement between the LFs derived here and the LFs
derived in the FORS Deep Field. We see a similar brightening of M_star and a
decrease of phi_star with redshift. The catalogue including the photometric
redshift information is made publicly available.
| astro-ph | in this paper we present a deep and homogeneous iband selected multiwaveband catalogue in the cosmos field covering an area of about 07 squaredegree our catalogue with a formal 50 percent completeness limit for point sources of i267 comprises about 290000 galaxies with information in 8 passbands we combine publicly available u b v r i z and k data with proprietary imaging in h band we discuss in detail the observations the data reduction and the photometric properties of the hband data we estimate photometric redshifts for all the galaxies in the catalogue a comparison with 162 spectroscopic redshifts in the redshift range 0 z 3 shows that the achieved accuracy of the photometric redshifts is delta_z z_spec1 0035 with only 2 percent outliers we derive absolute uv magnitudes and investigate the evolution of the luminosity function evaluated in the restframe uv at 1500 angstrom there is a good agreement between the lfs derived here and the lfs derived in the fors deep field we see a similar brightening of m_star and a decrease of phi_star with redshift the catalogue including the photometric redshift information is made publicly available | [['in', 'this', 'paper', 'we', 'present', 'a', 'deep', 'and', 'homogeneous', 'iband', 'selected', 'multiwaveband', 'catalogue', 'in', 'the', 'cosmos', 'field', 'covering', 'an', 'area', 'of', 'about', '07', 'squaredegree', 'our', 'catalogue', 'with', 'a', 'formal', '50', 'percent', 'completeness', 'limit', 'for', 'point', 'sources', 'of', 'i267', 'comprises', 'about', '290000', 'galaxies', 'with', 'information', 'in', '8', 'passbands', 'we', 'combine', 'publicly', 'available', 'u', 'b', 'v', 'r', 'i', 'z', 'and', 'k', 'data', 'with', 'proprietary', 'imaging', 'in', 'h', 'band', 'we', 'discuss', 'in', 'detail', 'the', 'observations', 'the', 'data', 'reduction', 'and', 'the', 'photometric', 'properties', 'of', 'the', 'hband', 'data', 'we', 'estimate', 'photometric', 'redshifts', 'for', 'all', 'the', 'galaxies', 'in', 'the', 'catalogue', 'a', 'comparison', 'with', '162', 'spectroscopic', 'redshifts', 'in', 'the', 'redshift', 'range', '0', 'z', '3', 'shows', 'that', 'the', 'achieved', 'accuracy', 'of', 'the', 'photometric', 'redshifts', 'is', 'delta_z', 'z_spec1', '0035', 'with', 'only', '2', 'percent', 'outliers', 'we', 'derive', 'absolute', 'uv', 'magnitudes', 'and', 'investigate', 'the', 'evolution', 'of', 'the', 'luminosity', 'function', 'evaluated', 'in', 'the', 'restframe', 'uv', 'at', '1500', 'angstrom', 'there', 'is', 'a', 'good', 'agreement', 'between', 'the', 'lfs', 'derived', 'here', 'and', 'the', 'lfs', 'derived', 'in', 'the', 'fors', 'deep', 'field', 'we', 'see', 'a', 'similar', 'brightening', 'of', 'm_star', 'and', 'a', 'decrease', 'of', 'phi_star', 'with', 'redshift', 'the', 'catalogue', 'including', 'the', 'photometric', 'redshift', 'information', 'is', 'made', 'publicly', 'available']] | [-0.059072761672568766, 0.028539709901103397, -0.04898058215869551, 0.0689946082234878, -0.07107345361579606, -0.06471034552545306, 0.08480031273335199, 0.4951657387328909, -0.1337108109579818, -0.36093608238437075, 0.0719393129507575, -0.36130738518933986, 0.010707161200735619, 0.19185355431623163, -0.03625475429989239, -0.0107799114045152, 0.09133461911845556, -0.08176185172348421, -0.06818260965744055, -0.34372355455119025, 0.25895003321087684, 0.02270962656017373, 0.19624705268367332, -0.046184894576807446, 0.1008303069547958, -0.023774113769561272, -0.1605344936304275, -0.014548438081042246, -0.24085129070377623, 0.04483503946400386, 0.27828259547141954, 0.1323770868661318, 0.2426585138631747, -0.2311495282300847, -0.15098278263603596, 0.04301705955963661, 0.15840988812913642, 0.040744713901423237, -0.03483651807665468, -0.27326867205804173, 0.07761032659959226, -0.14914136783200058, -0.13486014376642144, 0.057018492123151715, 0.042866904582045576, 0.028506028015126892, -0.22463064612585437, 0.14478581133230461, -0.0439636504637979, 0.21356178488597236, -0.11600309798612873, -0.13716386764637253, -0.08403744875203244, 0.09005165257134494, -0.030804994482636214, 0.14611782081378127, 0.08070479177850041, -0.19401232682123898, 0.0068728132173419, 0.37998284291515644, -0.11753364885473584, 0.02593371754096068, 0.1539212563842971, -0.1940338694975969, -0.171633210612778, 0.12042774602478529, 0.1500699534313134, 0.0685669872191477, -0.19702930201558358, 0.08036366056098523, 0.0059717600308160515, 0.2710410687049784, 0.012961635871374227, 0.07794199091535739, 0.22213633200017477, 0.0930919219997335, 0.009098051893623902, 0.08564499961977028, -0.2679169115392452, 0.0640604177321446, -0.3150339182961653, -0.08645582247644346, -0.1345437336558268, 0.10237356505673775, -0.1659501152891143, -0.10234625510991541, 0.376962436110455, 0.18516183513256304, 0.22390005754386175, 0.1280400193831388, 0.27671764297609, 0.06360158627726474, 0.10173051877775814, 0.10609603349733701, 0.31539933147661864, 0.1310757926400216, 0.0952981862622224, -0.1408514995261051, -0.025921413048289398, -0.030963969778546943] |
710.5245 | On the Matter of N=2 Matter | We introduce a variety of four-dimensional N = 2 matter multiplets which have
not previously appeared explicitly in the literature. Using these, we develop a
class of supersymmetric actions supplying a context for a systematic
exploration of N = 2 matter theories, some of which include Hypermultiplet
sectors in novel ways. We construct an N = 2 supersymmetric field theory in
which the propagating fields are realized off-shell exclusively as Lorentz
scalars and Weyl spinors and which involves a sector with precisely the
R-charge assignments characteristic of Hypermultiplets.
| hep-th | we introduce a variety of fourdimensional n 2 matter multiplets which have not previously appeared explicitly in the literature using these we develop a class of supersymmetric actions supplying a context for a systematic exploration of n 2 matter theories some of which include hypermultiplet sectors in novel ways we construct an n 2 supersymmetric field theory in which the propagating fields are realized offshell exclusively as lorentz scalars and weyl spinors and which involves a sector with precisely the rcharge assignments characteristic of hypermultiplets | [['we', 'introduce', 'a', 'variety', 'of', 'fourdimensional', 'n', '2', 'matter', 'multiplets', 'which', 'have', 'not', 'previously', 'appeared', 'explicitly', 'in', 'the', 'literature', 'using', 'these', 'we', 'develop', 'a', 'class', 'of', 'supersymmetric', 'actions', 'supplying', 'a', 'context', 'for', 'a', 'systematic', 'exploration', 'of', 'n', '2', 'matter', 'theories', 'some', 'of', 'which', 'include', 'hypermultiplet', 'sectors', 'in', 'novel', 'ways', 'we', 'construct', 'an', 'n', '2', 'supersymmetric', 'field', 'theory', 'in', 'which', 'the', 'propagating', 'fields', 'are', 'realized', 'offshell', 'exclusively', 'as', 'lorentz', 'scalars', 'and', 'weyl', 'spinors', 'and', 'which', 'involves', 'a', 'sector', 'with', 'precisely', 'the', 'rcharge', 'assignments', 'characteristic', 'of', 'hypermultiplets']] | [-0.15068496594424632, 0.23781497748722732, -0.051497000280548544, 0.06940980790292516, -0.09780095138532274, -0.16555844724507016, -0.023610752879861086, 0.325527945401914, -0.14722466734511888, -0.3285359526600908, 0.056835913229459786, -0.23322202144738505, -0.1723497411537477, 0.08961965425268692, -0.015364218645674341, 0.006208697295583346, -0.06351622322245556, 0.07251015073236297, -0.07892518432482201, -0.27954337803701707, 0.36099160848842826, -0.07757056803880807, 0.20118591498364422, -0.006645970802535029, 0.11188823724822963, 0.009923449050470748, -0.014736207974526813, 0.005035010632127523, -0.09114555133068386, 0.16037669244961922, 0.26178463380509875, 0.09536220556234612, 0.15804067836964833, -0.4399149248705191, -0.24274579604320667, 0.14170959230293245, 0.18632208873134326, 0.12941588798318715, -0.07185826699852067, -0.2696753765949432, 0.03406420072869343, -0.21697296246009715, -0.13540957129889114, -0.11762269122854752, 0.011260645969442146, -0.12192351368858534, -0.26485476083505677, 0.03137384086902089, 0.0014864879454869557, 0.058812504343907626, -0.03299229658373139, -0.12340808888239896, -0.03271398781524862, 0.06760995466919506, 0.10494827987516628, 0.02264867616159951, 0.12186341232565397, -0.22210528676343314, -0.18093226422788575, 0.3776197253342937, -0.045630524789585784, -0.25559827396098306, 0.14855883808477838, -0.1031521037878359, -0.2098882487098522, 0.08442759243223596, 0.1513640285414808, 0.19351753548664205, -0.14350521620362996, 0.22290419865920044, -0.09142600591568385, 0.12619737947688384, 0.07373899881563642, 0.06209799131268964, 0.2541113380561857, 0.07329611553098349, 0.04839748977135648, 0.08415661173708298, -0.004481741145034046, -0.06490289782557418, -0.4500243486726985, -0.20266874644302707, -0.07789172697812319, 0.10244824476009372, -0.06894237177740947, -0.15518032029161558, 0.40830014893675554, 0.09147027111886179, 0.18716737538137856, 0.060331668014473774, 0.18398320539032711, 0.06447029463152457, 0.09328431187964538, 0.06079943049151231, 0.22055038837339347, 0.15803195149911678, 0.06102333725156153, -0.1497460735592005, -0.14529258567730294, 0.13750382649219212] |
710.5246 | Rectified dc voltage versus magnetic field in a superconducting
asymmetric figure-of-eight-shaped microstructure | We have measured periodic oscillations of rectified dc voltage versus
magnetic field V_{dc}(B) in a superconducting aluminum thin-film
circular-asymmetric figure-of-eight microstructure threaded by a magnetic flux
and biased with a sinusoidal alternating current (without a dc component) near
the critical temperature. The Fourier spectra of these V_{dc}(B) functions
contain fundamental frequencies representing periodic responses of the larger
and smaller asymmetric circular loops, composing the microstructure, to the
magnetic field. The higher harmonics of the obtained fundamental frequencies
result from the non-sinusoidal character of loop circulating currents. The
presence of the difference and summation frequencies in these spectra points to
the interaction between the quantum states of both loops. Magnitudes of the
loop responses to the bias ac and magnetic field vary with temperature and the
bias current amplitude, both in absolute values and with respect to each other.
The strongest loop response appears when the average resistive state of the
loop corresponds to the midpoint of the superconducting-normal phase
transition.
| cond-mat.supr-con cond-mat.mes-hall | we have measured periodic oscillations of rectified dc voltage versus magnetic field v_dcb in a superconducting aluminum thinfilm circularasymmetric figureofeight microstructure threaded by a magnetic flux and biased with a sinusoidal alternating current without a dc component near the critical temperature the fourier spectra of these v_dcb functions contain fundamental frequencies representing periodic responses of the larger and smaller asymmetric circular loops composing the microstructure to the magnetic field the higher harmonics of the obtained fundamental frequencies result from the nonsinusoidal character of loop circulating currents the presence of the difference and summation frequencies in these spectra points to the interaction between the quantum states of both loops magnitudes of the loop responses to the bias ac and magnetic field vary with temperature and the bias current amplitude both in absolute values and with respect to each other the strongest loop response appears when the average resistive state of the loop corresponds to the midpoint of the superconductingnormal phase transition | [['we', 'have', 'measured', 'periodic', 'oscillations', 'of', 'rectified', 'dc', 'voltage', 'versus', 'magnetic', 'field', 'v_dcb', 'in', 'a', 'superconducting', 'aluminum', 'thinfilm', 'circularasymmetric', 'figureofeight', 'microstructure', 'threaded', 'by', 'a', 'magnetic', 'flux', 'and', 'biased', 'with', 'a', 'sinusoidal', 'alternating', 'current', 'without', 'a', 'dc', 'component', 'near', 'the', 'critical', 'temperature', 'the', 'fourier', 'spectra', 'of', 'these', 'v_dcb', 'functions', 'contain', 'fundamental', 'frequencies', 'representing', 'periodic', 'responses', 'of', 'the', 'larger', 'and', 'smaller', 'asymmetric', 'circular', 'loops', 'composing', 'the', 'microstructure', 'to', 'the', 'magnetic', 'field', 'the', 'higher', 'harmonics', 'of', 'the', 'obtained', 'fundamental', 'frequencies', 'result', 'from', 'the', 'nonsinusoidal', 'character', 'of', 'loop', 'circulating', 'currents', 'the', 'presence', 'of', 'the', 'difference', 'and', 'summation', 'frequencies', 'in', 'these', 'spectra', 'points', 'to', 'the', 'interaction', 'between', 'the', 'quantum', 'states', 'of', 'both', 'loops', 'magnitudes', 'of', 'the', 'loop', 'responses', 'to', 'the', 'bias', 'ac', 'and', 'magnetic', 'field', 'vary', 'with', 'temperature', 'and', 'the', 'bias', 'current', 'amplitude', 'both', 'in', 'absolute', 'values', 'and', 'with', 'respect', 'to', 'each', 'other', 'the', 'strongest', 'loop', 'response', 'appears', 'when', 'the', 'average', 'resistive', 'state', 'of', 'the', 'loop', 'corresponds', 'to', 'the', 'midpoint', 'of', 'the', 'superconductingnormal', 'phase', 'transition']] | [-0.20866617694264278, 0.20875029139715479, -0.011023275600746275, 0.003530276175297331, -0.051667945671943015, -0.10745023674098775, 0.06787705922615714, 0.38274627381470055, -0.23906685290276072, -0.30262912426842375, 0.04987454533693381, -0.2775314270344097, -0.08096738471358549, 0.22666891079279594, 0.020841816102620214, 0.01078966849754579, -0.029680217965506017, 0.059764320647809656, -0.08443836730148177, -0.1453032897246885, 0.27292459685122594, 0.01953211524159997, 0.3094062589108944, -0.005414962689974346, 0.05201002974608855, -0.035334247138234784, 0.03484005953359883, 0.08323869406412995, -0.06905995398055893, 0.04934520030619751, 0.1812003548755456, -0.07160851172811818, 0.1720365414832486, -0.45186751844594253, -0.16654082332897815, 0.07541886021062964, 0.0936841027752962, 0.0737557593267411, -0.008393261197488755, -0.25248262372697355, 0.04319858649978414, -0.0932519382899045, -0.1281980872474378, -0.025846828022349656, 0.02150399773308891, 0.061984475678764285, -0.26171525624813513, 0.11844662693547434, 0.0588915863125294, 0.09373783575720154, -0.08354595700802747, -0.14495633023034316, -0.06286153179535177, 0.12599886809148303, 0.04253661909606308, 0.06591108163120225, 0.18619215856597293, -0.1622101585875498, -0.11057725275750271, 0.2759782951499801, -0.09189297826233087, -0.10811131554219174, 0.12818567882059143, -0.2352219770284137, -0.02340502075094264, 0.17139369681244715, 0.12339387830943452, 0.056176399510877675, -0.11639220860570276, 0.021479219847969945, 0.05030866834276822, 0.16449239167341148, 0.10871298469573958, 0.011506389003625373, 0.2797310974710854, 0.10152009395023924, 0.03410138888430083, 0.16708384104385915, -0.14727347031293903, -0.07520709208474727, -0.28294117479817943, -0.09409189981524832, -0.1155639147866168, 0.03972374514705734, -0.10515713161967141, -0.26485026375739834, 0.4694297203386668, 0.13478450483526103, 0.19569026656390634, -0.009906606271397323, 0.3262644335831283, 0.18518047578400001, 0.11051356628304347, 0.04745881793096487, 0.25186630692624024, 0.22415401196776658, 0.14202198421698994, -0.31460053704213353, 0.017296476755291224, 0.018874128266179468] |
710.5247 | Affine Demazure modules and $T$-fixed point subschemes in the affine
Grassmannian | Let $G$ be a simple algebraic group of type $A$ or $D$ defined over $\C$ and
$T$ be a maximal torus of $G$. For a dominant coweight $\lambda$ of $G$, the
$T$-fixed point subscheme $(\bar{Gr}_G^\lambda)^T$ of the Schubert variety
$\bar{Gr}_G^\lambda$ in the affine Grassmannian $Gr_G$ is a finite scheme. We
prove that there is a natural isomorphism between the dual of the level one
affine Demazure module corresponding to $\lambda$ and the ring of functions
(twisted by certain line bundle on $Gr_G$) of $(\bar{Gr}_G^\lambda)^T$. We use
this fact to give a geometric proof of the Frenkel-Kac-Segal isomorphism
between basic representations of affine algebras of $A,D,E$ type and lattice
vertex algebras.
| math.RT math.AG | let g be a simple algebraic group of type a or d defined over c and t be a maximal torus of g for a dominant coweight lambda of g the tfixed point subscheme bargr_glambdat of the schubert variety bargr_glambda in the affine grassmannian gr_g is a finite scheme we prove that there is a natural isomorphism between the dual of the level one affine demazure module corresponding to lambda and the ring of functions twisted by certain line bundle on gr_g of bargr_glambdat we use this fact to give a geometric proof of the frenkelkacsegal isomorphism between basic representations of affine algebras of ade type and lattice vertex algebras | [['let', 'g', 'be', 'a', 'simple', 'algebraic', 'group', 'of', 'type', 'a', 'or', 'd', 'defined', 'over', 'c', 'and', 't', 'be', 'a', 'maximal', 'torus', 'of', 'g', 'for', 'a', 'dominant', 'coweight', 'lambda', 'of', 'g', 'the', 'tfixed', 'point', 'subscheme', 'bargr_glambdat', 'of', 'the', 'schubert', 'variety', 'bargr_glambda', 'in', 'the', 'affine', 'grassmannian', 'gr_g', 'is', 'a', 'finite', 'scheme', 'we', 'prove', 'that', 'there', 'is', 'a', 'natural', 'isomorphism', 'between', 'the', 'dual', 'of', 'the', 'level', 'one', 'affine', 'demazure', 'module', 'corresponding', 'to', 'lambda', 'and', 'the', 'ring', 'of', 'functions', 'twisted', 'by', 'certain', 'line', 'bundle', 'on', 'gr_g', 'of', 'bargr_glambdat', 'we', 'use', 'this', 'fact', 'to', 'give', 'a', 'geometric', 'proof', 'of', 'the', 'frenkelkacsegal', 'isomorphism', 'between', 'basic', 'representations', 'of', 'affine', 'algebras', 'of', 'ade', 'type', 'and', 'lattice', 'vertex', 'algebras']] | [-0.2145703094010459, 0.05302709258688074, -0.09000579118902717, 0.007214471912142063, -0.12569709771930754, -0.1868623891088102, 0.023966074085611605, 0.3453158783230269, -0.3896724689647416, -0.1658830782485621, 0.07875185388099036, -0.18527288027716993, -0.12760100013437184, 0.17296153418154012, -0.12745374938142356, -0.07593598540558993, 0.04650930411434759, 0.12000589272459951, -0.10725371191217173, -0.27587622657492233, 0.414883127070476, -0.056723205085460825, 0.21860764053798168, 0.04824534241027399, 0.16182125205713732, 0.017104652188022002, -0.0003514315489087706, -0.000665121636718999, -0.1536727607684459, 0.1536779018221249, 0.32262580167223637, 0.08399705207367018, 0.19288321873216638, -0.3270236185325362, -0.09543428099366062, 0.2290878938685093, 0.1370044933135891, -0.01416525654587242, 0.02510799617815554, -0.2238100152462721, 0.10641779773651022, -0.1811131586050876, -0.16151569278423336, 0.0015150418713967377, 0.1250956110943492, 0.015762785327768772, -0.2575987449838458, -0.03817814855757996, 0.09459641544479076, 0.16459871402062545, -0.013646174470293466, -0.10328459639045645, -0.09011612384728043, 0.04494378561476054, -0.10407324558315433, 0.09739391154214679, 0.09063419041650317, -0.09666581630541413, -0.15863860845913955, 0.3973010941452094, -0.05193536831327131, -0.21582972674378167, 0.1089738906996551, -0.142470077439603, -0.1350938354000867, 0.13236883946337571, 0.054199635960753556, 0.13349616617208052, 0.010171759107681078, 0.2128438179508487, -0.16513269221645163, 0.019945953019827205, 0.07352064009407693, -0.015752527414533857, 0.14742299573165235, 0.09604453330067482, 0.07105619459065922, 0.1327846599285813, 0.03600240620418896, -0.002999374216338663, -0.4198249753251254, -0.1963088126748661, -0.09581448760745333, 0.18224477765115552, -0.15273845820673024, -0.19461413071638792, 0.39853476178429115, 0.021645685344516673, 0.23052293858621445, 0.08349134833916422, 0.1556839281693101, 0.07015129734944796, 0.0975810576319503, 0.026008577608268395, 0.08330910995811502, 0.2512152387268806, -0.08601225046201601, -0.18914913789099344, -0.05095722931045517, 0.26110876798107524] |
710.5248 | On the size of the Fe II emitting region in the AGN Akn 120 | We present a reverberation analysis of the strong, variable optical Fe II
emission bands in the spectrum of Akn 120, a low-redshift AGN which is one of
the best candidates for such a study. On time scales of several years the Fe II
line strengths follow the variations in the continuum strength. However, we are
unable to measure a clear reverberation lag time for these Fe II lines on any
time scale. This is due to the very broad and flat-topped nature of the Fe II
cross correlation functions, as compared to the H-beta response which is much
more sharply localized in time. Although there is some suggestion in the light
curve of a 300-day response time, our statistical analysis does not pick up
such a feature. We conclude that the optical Fe II emission does not come from
a photoionization-powered region similar in size to the H-beta emitting region,
but we cannot say for sure where it does come from. Our results are generally
consistent either with emission from a photoionized region several times larger
than the H-beta zone, or with emission from gas heated by some other means,
perhaps responding only indirectly to the continuum variations.
| astro-ph | we present a reverberation analysis of the strong variable optical fe ii emission bands in the spectrum of akn 120 a lowredshift agn which is one of the best candidates for such a study on time scales of several years the fe ii line strengths follow the variations in the continuum strength however we are unable to measure a clear reverberation lag time for these fe ii lines on any time scale this is due to the very broad and flattopped nature of the fe ii cross correlation functions as compared to the hbeta response which is much more sharply localized in time although there is some suggestion in the light curve of a 300day response time our statistical analysis does not pick up such a feature we conclude that the optical fe ii emission does not come from a photoionizationpowered region similar in size to the hbeta emitting region but we cannot say for sure where it does come from our results are generally consistent either with emission from a photoionized region several times larger than the hbeta zone or with emission from gas heated by some other means perhaps responding only indirectly to the continuum variations | [['we', 'present', 'a', 'reverberation', 'analysis', 'of', 'the', 'strong', 'variable', 'optical', 'fe', 'ii', 'emission', 'bands', 'in', 'the', 'spectrum', 'of', 'akn', '120', 'a', 'lowredshift', 'agn', 'which', 'is', 'one', 'of', 'the', 'best', 'candidates', 'for', 'such', 'a', 'study', 'on', 'time', 'scales', 'of', 'several', 'years', 'the', 'fe', 'ii', 'line', 'strengths', 'follow', 'the', 'variations', 'in', 'the', 'continuum', 'strength', 'however', 'we', 'are', 'unable', 'to', 'measure', 'a', 'clear', 'reverberation', 'lag', 'time', 'for', 'these', 'fe', 'ii', 'lines', 'on', 'any', 'time', 'scale', 'this', 'is', 'due', 'to', 'the', 'very', 'broad', 'and', 'flattopped', 'nature', 'of', 'the', 'fe', 'ii', 'cross', 'correlation', 'functions', 'as', 'compared', 'to', 'the', 'hbeta', 'response', 'which', 'is', 'much', 'more', 'sharply', 'localized', 'in', 'time', 'although', 'there', 'is', 'some', 'suggestion', 'in', 'the', 'light', 'curve', 'of', 'a', '300day', 'response', 'time', 'our', 'statistical', 'analysis', 'does', 'not', 'pick', 'up', 'such', 'a', 'feature', 'we', 'conclude', 'that', 'the', 'optical', 'fe', 'ii', 'emission', 'does', 'not', 'come', 'from', 'a', 'photoionizationpowered', 'region', 'similar', 'in', 'size', 'to', 'the', 'hbeta', 'emitting', 'region', 'but', 'we', 'can', 'not', 'say', 'for', 'sure', 'where', 'it', 'does', 'come', 'from', 'our', 'results', 'are', 'generally', 'consistent', 'either', 'with', 'emission', 'from', 'a', 'photoionized', 'region', 'several', 'times', 'larger', 'than', 'the', 'hbeta', 'zone', 'or', 'with', 'emission', 'from', 'gas', 'heated', 'by', 'some', 'other', 'means', 'perhaps', 'responding', 'only', 'indirectly', 'to', 'the', 'continuum', 'variations']] | [-0.022067749736148647, 0.08149674681410062, -0.03345862222920517, 0.08650489679719724, -0.078940217541578, -0.16259385383366443, 0.06621408315380174, 0.47133166382684927, -0.21248553733818284, -0.27199172845561187, 0.10126618485422663, -0.31235333342993926, -0.03356339376381962, 0.19851720077694787, -0.01601548983551784, -0.04297072170089533, -0.004301995319092107, -0.03647310211119918, -0.06914924055238628, -0.1785009251009238, 0.290047587408462, 0.05204001437815918, 0.22390287953811855, 0.05512676742707904, 0.0034239835479310927, -0.0768697555224189, -0.057076356695199074, 0.05830011594813639, -0.04983224248565139, 0.07031485011451287, 0.22705165592263343, 0.11900866710046674, 0.2571255640731888, -0.37179062567145427, -0.23919775992540906, 0.11551069748025922, 0.1690319807269861, 0.09299545572612075, -0.021098048634591353, -0.25577162308878443, 0.021406922364125246, -0.10168357567890042, -0.11868055109501945, 0.03221456539878612, 0.07099459714161381, 0.016418295972129605, -0.23983649229087162, 0.07721620652503168, 0.06252148493812396, 0.07707915543980405, -0.06890652112327138, -0.06702523009359912, -0.028597096806193517, 0.06450877025094696, 0.0677176699164054, 0.04373382132968435, 0.1582604710835264, -0.0876747609156321, -0.04701952731944763, 0.40796330872554387, -0.09454076967078325, -0.0550101560713052, 0.24698843052705305, -0.21345300041730067, -0.13520186961519765, 0.2312043303349599, 0.12880717823237564, 0.12889379013310834, -0.11372486112118098, 0.013578193303289809, -0.053465714314148816, 0.2816929281098286, -0.0027822302039807218, 0.07457221738242445, 0.23985677268143346, 0.0698220019044383, 0.035056385604031196, 0.07829467871469838, -0.1804799567506209, -0.048293111330550635, -0.3002940122567609, -0.11187442675289617, -0.14281056708358417, 0.07953770163841013, -0.08316429765109944, -0.1676173024895946, 0.39006993123676614, 0.14157899687312506, 0.260711940579816, 0.05393336297409978, 0.27904291501089096, 0.11916942304049898, 0.12550118815704595, 0.11501696547327875, 0.30995703623943305, 0.09415155881351016, 0.12333744871642838, -0.22145113946165568, 0.09904392132403206, 0.011558368160308996] |
710.5249 | Lateral Casimir-Polder force with corrugated surfaces | We derive the lateral Casimir-Polder force on a ground state atom on top of a
corrugated surface, up to first order in the corrugation amplitude. Our
calculation is based on the scattering approach, which takes into account
nonspecular reflections and polarization mixing for electromagnetic quantum
fluctuations impinging on real materials. We compare our first order exact
result with two commonly used approximation methods. We show that the proximity
force approximation (large corrugation wavelengths) overestimates the lateral
force, while the pairwise summation approach underestimates it due to the
non-additivity of dispersion forces. We argue that a frequency shift
measurement for the dipolar lateral oscillations of cold atoms could provide a
striking demonstration of nontrivial geometrical effects on the quantum vacuum.
| quant-ph | we derive the lateral casimirpolder force on a ground state atom on top of a corrugated surface up to first order in the corrugation amplitude our calculation is based on the scattering approach which takes into account nonspecular reflections and polarization mixing for electromagnetic quantum fluctuations impinging on real materials we compare our first order exact result with two commonly used approximation methods we show that the proximity force approximation large corrugation wavelengths overestimates the lateral force while the pairwise summation approach underestimates it due to the nonadditivity of dispersion forces we argue that a frequency shift measurement for the dipolar lateral oscillations of cold atoms could provide a striking demonstration of nontrivial geometrical effects on the quantum vacuum | [['we', 'derive', 'the', 'lateral', 'casimirpolder', 'force', 'on', 'a', 'ground', 'state', 'atom', 'on', 'top', 'of', 'a', 'corrugated', 'surface', 'up', 'to', 'first', 'order', 'in', 'the', 'corrugation', 'amplitude', 'our', 'calculation', 'is', 'based', 'on', 'the', 'scattering', 'approach', 'which', 'takes', 'into', 'account', 'nonspecular', 'reflections', 'and', 'polarization', 'mixing', 'for', 'electromagnetic', 'quantum', 'fluctuations', 'impinging', 'on', 'real', 'materials', 'we', 'compare', 'our', 'first', 'order', 'exact', 'result', 'with', 'two', 'commonly', 'used', 'approximation', 'methods', 'we', 'show', 'that', 'the', 'proximity', 'force', 'approximation', 'large', 'corrugation', 'wavelengths', 'overestimates', 'the', 'lateral', 'force', 'while', 'the', 'pairwise', 'summation', 'approach', 'underestimates', 'it', 'due', 'to', 'the', 'nonadditivity', 'of', 'dispersion', 'forces', 'we', 'argue', 'that', 'a', 'frequency', 'shift', 'measurement', 'for', 'the', 'dipolar', 'lateral', 'oscillations', 'of', 'cold', 'atoms', 'could', 'provide', 'a', 'striking', 'demonstration', 'of', 'nontrivial', 'geometrical', 'effects', 'on', 'the', 'quantum', 'vacuum']] | [-0.1495887325497485, 0.1569661772457742, -0.10681187353652566, 0.0644037358642814, -0.05448723773025915, -0.08697732456591951, 0.05089847657813871, 0.3815736713341805, -0.2208378479088179, -0.2915502496517631, -0.03164141474999957, -0.2847271245755568, -0.15313792385223532, 0.2059372395625291, 0.041227610515696664, 0.038130380412829776, 0.050521880567285134, -0.02031184407513581, -0.06387106452563762, -0.1695131078174635, 0.307780163973069, 0.026923489508399068, 0.3148019772429927, 0.14487696085281732, 0.10092426800098614, 0.026565624788372207, 0.03719957985430017, 0.01846446910826098, -0.1384333126291441, 0.09913875674437575, 0.1470241813623041, -0.0655709721535413, 0.21583675624442702, -0.4844162253929036, -0.20210164321876062, 0.03942575481399393, 0.10514318762824502, 0.21258933438445998, -0.037946303391696086, -0.3084043681136325, -0.03167185907353874, -0.14297823541789872, -0.11741897123357077, -0.0955429075700583, 0.02588975437556808, 0.00482302949080995, -0.26669342805114926, 0.0922863578253637, 0.03594412948024467, 0.031187362526739093, -0.08251533721683219, -0.11320808549223765, 0.03254485707495268, 0.09283867438848153, 0.04270654752999231, 0.02729350983501733, 0.18595538241984402, -0.07152618594397203, -0.07350450470073133, 0.42057213386786835, -0.10545009024981253, -0.16861240404947592, 0.1544788593070253, -0.17814772478265672, -0.0375454161597901, 0.16201070847161927, 0.18906389933447315, 0.06579729343349693, -0.07613920290003523, 0.03479374436409205, 0.005182949565898846, 0.1922707196497241, 0.13216376103100783, 0.026558176849131324, 0.20602233192155592, 0.14325382676711226, 0.05931394815664081, 0.14170876462716891, -0.15016792544179416, -0.0892408061185617, -0.30986074769885097, -0.12902563583681032, -0.21262998914956546, 0.054302278812192066, -0.09088280477620732, -0.20732591589991034, 0.3592199278846696, 0.17718128318029666, 0.15638610037012385, 0.016853873184569056, 0.3753773104712492, 0.1198587419625133, 0.0938312755662854, 0.007480717799234979, 0.31765490461986107, 0.1675232762916937, 0.0394389651962282, -0.2864044608759592, 0.05182213321359468, 0.04671110721508495] |
710.525 | Time-frequency analysis of extreme-mass-ratio inspiral signals in mock
LISA data | Extreme-mass-ratio inspirals (EMRIs) of ~ 1-10 solar-mass compact objects
into ~ million solar-mass massive black holes can serve as excellent probes of
strong-field general relativity. The Laser Interferometer Space Antenna (LISA)
is expected to detect gravitational wave signals from apprxomiately one hundred
EMRIs per year, but the data analysis of EMRI signals poses a unique set of
challenges due to their long duration and the extensive parameter space of
possible signals. One possible approach is to carry out a search for EMRI
tracks in the time-frequency domain. We have applied a time-frequency search to
the data from the Mock LISA Data Challenge (MLDC) with promising results. Our
analysis used the Hierarchical Algorithm for Clusters and Ridges to identify
tracks in the time-frequency spectrogram corresponding to EMRI sources. We then
estimated the EMRI source parameters from these tracks. In these proceedings,
we discuss the results of this analysis of the MLDC round 1.3 data.
| gr-qc | extrememassratio inspirals emris of 110 solarmass compact objects into million solarmass massive black holes can serve as excellent probes of strongfield general relativity the laser interferometer space antenna lisa is expected to detect gravitational wave signals from apprxomiately one hundred emris per year but the data analysis of emri signals poses a unique set of challenges due to their long duration and the extensive parameter space of possible signals one possible approach is to carry out a search for emri tracks in the timefrequency domain we have applied a timefrequency search to the data from the mock lisa data challenge mldc with promising results our analysis used the hierarchical algorithm for clusters and ridges to identify tracks in the timefrequency spectrogram corresponding to emri sources we then estimated the emri source parameters from these tracks in these proceedings we discuss the results of this analysis of the mldc round 13 data | [['extrememassratio', 'inspirals', 'emris', 'of', '110', 'solarmass', 'compact', 'objects', 'into', 'million', 'solarmass', 'massive', 'black', 'holes', 'can', 'serve', 'as', 'excellent', 'probes', 'of', 'strongfield', 'general', 'relativity', 'the', 'laser', 'interferometer', 'space', 'antenna', 'lisa', 'is', 'expected', 'to', 'detect', 'gravitational', 'wave', 'signals', 'from', 'apprxomiately', 'one', 'hundred', 'emris', 'per', 'year', 'but', 'the', 'data', 'analysis', 'of', 'emri', 'signals', 'poses', 'a', 'unique', 'set', 'of', 'challenges', 'due', 'to', 'their', 'long', 'duration', 'and', 'the', 'extensive', 'parameter', 'space', 'of', 'possible', 'signals', 'one', 'possible', 'approach', 'is', 'to', 'carry', 'out', 'a', 'search', 'for', 'emri', 'tracks', 'in', 'the', 'timefrequency', 'domain', 'we', 'have', 'applied', 'a', 'timefrequency', 'search', 'to', 'the', 'data', 'from', 'the', 'mock', 'lisa', 'data', 'challenge', 'mldc', 'with', 'promising', 'results', 'our', 'analysis', 'used', 'the', 'hierarchical', 'algorithm', 'for', 'clusters', 'and', 'ridges', 'to', 'identify', 'tracks', 'in', 'the', 'timefrequency', 'spectrogram', 'corresponding', 'to', 'emri', 'sources', 'we', 'then', 'estimated', 'the', 'emri', 'source', 'parameters', 'from', 'these', 'tracks', 'in', 'these', 'proceedings', 'we', 'discuss', 'the', 'results', 'of', 'this', 'analysis', 'of', 'the', 'mldc', 'round', '13', 'data']] | [-0.1094788488530321, 0.06624038787791506, -0.08815364892904957, 0.12533003122429365, -0.11856098314591994, -0.06498818901522706, 0.05974865335971117, 0.3499927119600276, -0.19239600469668705, -0.36491647533451516, 0.08606396344218714, -0.3199879282154143, -0.09497371669393033, 0.2904654151480645, -0.03486162940040231, 0.07837676349406442, 0.15034592253156007, -0.007914003682478021, -0.06266385232176011, -0.21652933006795744, 0.2880763129765789, 0.10313111711293459, 0.18391847329214214, -0.1019496243695418, 0.10144908824935556, -0.02744449967208008, -0.09106392637516061, -0.07777689434316319, -0.11915419366986801, 0.07596846321791721, 0.34669302677890906, 0.22706026937812568, 0.23539867987235388, -0.4010190608849128, -0.2003619847757121, 0.07841681859766443, 0.14569626341263453, 0.13575475597443679, -0.06582291270373389, -0.3527824551736315, 0.0815475552653273, -0.1907830543940266, -0.10527875253620247, -0.017799228337438158, 0.028365466545025506, 0.03089456957920144, -0.2403877439474066, 0.07003107083883757, -0.0008321594322721164, -0.07186247922480106, -0.08209911591839045, -0.08393893473005543, -0.0019257885745416084, 0.13435214414571722, 0.07969020889761547, 0.09464931384660304, 0.16633813722369573, -0.051819286605653665, -0.12836504552513361, 0.40837238493685923, -0.06329299331332247, -0.15624687910700838, 0.18711379133320102, -0.2092832993219296, -0.17151884453681607, 0.15618092017869153, 0.26403122438224574, 0.15149274247698485, -0.1546708653556804, -0.024391405437296877, 0.04271379772893852, 0.2393989906894664, 0.10221636789268813, 0.06305129448999651, 0.33975877973871926, 0.19868422714372477, 0.032875540335662666, 0.12660071106317142, -0.22521356626724204, -0.026114793830395985, -0.2549678949394729, -0.07644877277935545, -0.16862564136681613, 0.033813680959380386, -0.1376323822728591, -0.11111637663367825, 0.3750820107758045, 0.18134277055971323, 0.145894764685072, 0.01183210918214172, 0.3016921912332812, 0.03768029840827997, 0.06924415531102568, 0.021381738744676113, 0.28176404238368075, 0.07430476340310027, 0.09807863082115849, -0.15711032548143217, -0.052582865147851404, -0.018490471616387366] |
710.5251 | Positivity of Thom polynomials II: the Lagrange singularities | We show that Thom polynomials of Lagrangian singularities have nonnegative
coefficients in the basis consisting of Q-functions. The main tool in the proof
is nonnegativity of cone classes for globally generated bundles.
| math.AG math.SG | we show that thom polynomials of lagrangian singularities have nonnegative coefficients in the basis consisting of qfunctions the main tool in the proof is nonnegativity of cone classes for globally generated bundles | [['we', 'show', 'that', 'thom', 'polynomials', 'of', 'lagrangian', 'singularities', 'have', 'nonnegative', 'coefficients', 'in', 'the', 'basis', 'consisting', 'of', 'qfunctions', 'the', 'main', 'tool', 'in', 'the', 'proof', 'is', 'nonnegativity', 'of', 'cone', 'classes', 'for', 'globally', 'generated', 'bundles']] | [-0.19538501254282892, 0.01880110732417961, -0.10732350044418126, 0.04393237058320665, -0.0689026655163616, -0.13197985559236258, -0.11675713362637907, 0.31223847091314383, -0.3362412683200091, -0.14176177175249904, 0.07954569662251743, -0.24223553204501513, -0.21686264421441592, 0.204877856944222, -0.09805254387902096, 0.06653805455425754, 0.07607908542195219, -0.015106413513422012, -0.08488258346187649, -0.28965980955399573, 0.47964347567176446, -0.05363881874654908, 0.19167987897526473, 0.09144506571465172, 0.14019024529261515, -0.017219985733390786, -0.05153607213287614, -0.03283901943359524, -0.08259517094961666, 0.14144522709102603, 0.3095254561631009, 0.1597139482619241, 0.202477328653913, -0.3610628764727153, -0.11683137560612522, 0.19187132430670317, 0.13513777387561277, 0.0032427990809082985, -0.011783858120907098, -0.21461653085134458, 0.13436312330304645, -0.09606060694204643, -0.2347310104232747, -0.15654614398954436, 0.0014093736535869539, 0.10339463560376316, -0.2712445792276412, 0.012930364318890497, 0.10113436428946443, 0.12259983448893763, -0.07604459603317082, -0.16814759265980683, -0.05988564877770841, 0.032079470285680145, 0.03713678078929661, -0.025157282063446473, 0.04551946518768091, -0.08390168831829214, -0.1298708794056438, 0.34058967771125026, -0.0877739274292253, -0.2883742196136154, 0.07326618014485575, -0.14093541595502757, -0.20187046899081906, 0.1438895449100528, 0.12429856287781149, 0.21346855664160103, -0.03847862174734473, 0.1621629729634151, -0.16062761592911556, 0.08116451126988977, 0.1239248221681919, 0.043248111425782554, 0.16616124880238203, 0.02555932430550456, 0.05007662170828553, 0.14305090147536248, 0.0569664288777858, -0.09707124075794127, -0.3829788548173383, -0.2509356499358546, -0.1770967350457795, 0.11967225352418609, -0.11816181671747472, -0.21641213518887525, 0.47070258820895106, 0.03782365072402172, 0.18838273102301173, 0.13617229089140892, 0.24544453341513872, 0.09289340887335129, 0.05818447445926722, 0.033556831840542145, 0.17091248818906024, 0.2317681786371395, 0.008292231417726725, -0.10586841286567505, 0.016942800764809363, 0.2966204357217066] |
710.5252 | Cycle-free chessboard complexes and symmetric homology of algebras | Chessboard complexes and their relatives have been one of important recurring
themes of topological combinatorics. Closely related ``cycle-free chessboard
complexes'' have been recently introduced by Ault and Fiedorowicz as a tool for
computing symmetric analogues of the cyclic homology of algebras. We study
connectivity properties of these complexes and prove a result that confirms a
strengthened conjecture of Ault and Fiedorowicz.
| math.AT math.CO | chessboard complexes and their relatives have been one of important recurring themes of topological combinatorics closely related cyclefree chessboard complexes have been recently introduced by ault and fiedorowicz as a tool for computing symmetric analogues of the cyclic homology of algebras we study connectivity properties of these complexes and prove a result that confirms a strengthened conjecture of ault and fiedorowicz | [['chessboard', 'complexes', 'and', 'their', 'relatives', 'have', 'been', 'one', 'of', 'important', 'recurring', 'themes', 'of', 'topological', 'combinatorics', 'closely', 'related', 'cyclefree', 'chessboard', 'complexes', 'have', 'been', 'recently', 'introduced', 'by', 'ault', 'and', 'fiedorowicz', 'as', 'a', 'tool', 'for', 'computing', 'symmetric', 'analogues', 'of', 'the', 'cyclic', 'homology', 'of', 'algebras', 'we', 'study', 'connectivity', 'properties', 'of', 'these', 'complexes', 'and', 'prove', 'a', 'result', 'that', 'confirms', 'a', 'strengthened', 'conjecture', 'of', 'ault', 'and', 'fiedorowicz']] | [-0.1578206191711538, 0.061129884526007254, -0.11147800986275226, 0.12332818519829189, -0.041156203343959176, -0.12523164697212436, -0.022800698789562715, 0.349466860168061, -0.28748792141549667, -0.27494286114381533, 0.1440950646854432, -0.22260065828607875, -0.262666407941004, 0.15830222615119766, -0.13421512541945202, 8.501339766938808e-05, 0.02143883132139, 0.043520924303743797, -0.00864422319346439, -0.2816943373783665, 0.37256139395284954, 0.0055535951495107455, 0.22601710641914505, 0.09777857132761156, 0.03899085692966641, 0.00806347856897924, -0.06711608263016758, 0.04967970363953608, -0.20071724737992894, 0.2138511025646733, 0.27234849747333484, 0.07947210960832062, 0.21697645257148196, -0.39451829104100244, -0.17605239672633677, 0.11844477647031515, 0.13124601494015778, 0.04061397466555995, -0.08522847896615454, -0.27158859102213284, 0.15753183875359217, -0.18415439436685735, -0.1478422100900404, -0.05955110723942013, 0.0955457026296753, 0.09654238232474585, -0.14790251478552818, 0.006126350297008531, 0.11784596892736726, 0.11824532576527849, -0.020714035573399674, -0.1403495223513978, -0.06746579505013839, 0.16388240193758727, -0.003850859297849869, -0.001826653126785058, 0.03169524675961268, -0.09046019178073285, -0.27859547576409277, 0.3612450507106417, 0.06320429744861894, -0.09465666300759225, 0.18141308016443658, -0.09944753774236571, -0.25398808648273097, 0.11926229581457831, 0.05683558118545403, 0.1739848108678046, -0.06257467925295991, 0.13045727045243702, -0.13708212848563314, 0.03730021392476698, 0.16048889547207598, 0.06499027254817596, 0.20596654060044153, 0.08992540582982918, 0.04636230134263129, 0.19355671007928074, 0.02246310782887168, -0.0984556538179138, -0.13604078628122807, -0.2253765759247718, -0.15737750861099212, 0.09398641316535866, -0.04995720024453476, -0.19643152303109734, 0.3837272127679849, 0.06396730880300372, 0.1593140285556852, 0.03937389464038661, 0.17129087147018793, 0.000127841014083538, 0.09447366634967848, 0.0034768105626611385, 0.11986540273715884, 0.33371387005752046, 0.006276384801051374, -0.11152853868838589, 0.059270758592223714, 0.21979120413188713] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.