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711.1108 | Evolution of convex lens-shaped networks under curve shortening flow | We consider convex symmetric lens-shaped networks in R^2 that evolve under
curve shortening flow. We show that the enclosed convex domain shrinks to a
point in finite time. Furthermore, after appropriate rescaling the evolving
networks converge to a self-similarly shrinking network, which we prove to be
unique in an appropriate class. We also include a classification result for
some self-similarly shrinking networks.
| math.DG math.AP | we consider convex symmetric lensshaped networks in r2 that evolve under curve shortening flow we show that the enclosed convex domain shrinks to a point in finite time furthermore after appropriate rescaling the evolving networks converge to a selfsimilarly shrinking network which we prove to be unique in an appropriate class we also include a classification result for some selfsimilarly shrinking networks | [['we', 'consider', 'convex', 'symmetric', 'lensshaped', 'networks', 'in', 'r2', 'that', 'evolve', 'under', 'curve', 'shortening', 'flow', 'we', 'show', 'that', 'the', 'enclosed', 'convex', 'domain', 'shrinks', 'to', 'a', 'point', 'in', 'finite', 'time', 'furthermore', 'after', 'appropriate', 'rescaling', 'the', 'evolving', 'networks', 'converge', 'to', 'a', 'selfsimilarly', 'shrinking', 'network', 'which', 'we', 'prove', 'to', 'be', 'unique', 'in', 'an', 'appropriate', 'class', 'we', 'also', 'include', 'a', 'classification', 'result', 'for', 'some', 'selfsimilarly', 'shrinking', 'networks']] | [-0.14392917426002602, 0.08645152384175867, -0.1181817581997283, 0.04989724092546009, -0.06048844646542303, -0.15536000445154646, 0.017684353936103084, 0.4707096967125131, -0.31622982247462195, -0.13013621281471946, 0.15217647489419417, -0.24164165310080973, -0.16754984719333268, 0.1664356331401054, -0.13577650407809885, 0.04103676554176115, 0.094337027459856, 0.04021830556373442, -0.11525265200273885, -0.26615736881015645, 0.3483482381449111, -0.04859520257600854, 0.26732375983509327, 0.06189930234235832, 0.07909202079979642, -0.03539922483445656, 0.05143054433527493, 0.10973122702243047, -0.15774605382020743, 0.06984072064440097, 0.20985361482692702, 0.13023099750881234, 0.3086856698557254, -0.4229677303303634, -0.271134321848231, 0.19632234464159176, 0.1811189203102502, 0.09195840611655806, -0.03746283311779881, -0.2554664201133193, 0.1370432239904579, -0.14943824827130284, -0.2149533466811502, -0.06845249103442315, 0.03443234602755477, 0.04487872179297189, -0.25930995676073154, 0.04159743551703756, 0.13123183748534611, -0.017481005600383206, -0.10791743826872159, -0.019746192167663285, -0.029402512816652175, 0.09560822588842242, 0.050515254897501076, 0.09673877521568248, 0.13108406237687073, -0.06292840330711295, -0.014437601556100191, 0.3095204264165894, -0.09677046032682542, -0.24078369642337483, 0.11788629710433944, -0.09425881915094872, -0.14715123410907485, 0.14458514384985452, 0.24153079850328785, 0.1354689914662759, -0.1179242308491901, 0.04009069277409224, -0.05484236766313834, 0.11475440714885705, 0.10685711499724176, -0.048349740884957776, 0.16124270339646646, 0.1862731796028393, 0.18118026469563764, 0.19035725235270576, -0.05331791311712755, -0.1616523542907089, -0.3128446789848949, -0.12443605224571881, -0.1774741470843794, 0.11722889692792969, -0.15974692948493024, -0.20970057383660348, 0.3657386561314906, 0.07439836066576742, 0.263320573966109, 0.1577479382394813, 0.2039513113878427, 0.07816068455576897, 0.07447373300730702, 0.1931589844884471, 0.18248198877864202, 0.04667082893842411, 0.0808941409096963, -0.1748643851568622, -0.023789653915070718, 0.07265613044822408] |
711.1109 | Near-infrared cross-dispersed spectroscopy of brown dwarf candidates in
the Upper Sco association | We present near-infrared (1.15-2.50 microns) medium-resolution (R = 1700)
spectroscopy of a sample of 23 brown dwarf candidates in the young Upper Sco
association. We confirm membership of 21 brown dwarfs based on their spectral
shape, comparison with field dwarfs, and presence of weak gravity-sensitive
features. Their spectral types range from M8 to L2 with an uncertainty of a
subclass, suggesting effective temperatures between 2700 and 1800 K with an
uncertainty up to 300 K and masses in the 30-8 Mjup range. Among the
non-members, we have uncovered a field L2 dwarf at a distance of 120-140 pc,
assuming that it is single. The success rate of our photometric selection based
on five photometric passbands and complemented partly by proper motion is over
90%, a very promising result for future studies of the low-mass star and brown
dwarf populations in young open clusters by the UKIDSS Galactic Cluster Survey.
We observe a large dispersion in the magnitude versus spectral-type relation
which is likely the result of the combination of several effects including age
dispersion, extent and depth of the association, a high degree of multiplicity
and the occurrence of disks.
| astro-ph | we present nearinfrared 115250 microns mediumresolution r 1700 spectroscopy of a sample of 23 brown dwarf candidates in the young upper sco association we confirm membership of 21 brown dwarfs based on their spectral shape comparison with field dwarfs and presence of weak gravitysensitive features their spectral types range from m8 to l2 with an uncertainty of a subclass suggesting effective temperatures between 2700 and 1800 k with an uncertainty up to 300 k and masses in the 308 mjup range among the nonmembers we have uncovered a field l2 dwarf at a distance of 120140 pc assuming that it is single the success rate of our photometric selection based on five photometric passbands and complemented partly by proper motion is over 90 a very promising result for future studies of the lowmass star and brown dwarf populations in young open clusters by the ukidss galactic cluster survey we observe a large dispersion in the magnitude versus spectraltype relation which is likely the result of the combination of several effects including age dispersion extent and depth of the association a high degree of multiplicity and the occurrence of disks | [['we', 'present', 'nearinfrared', '115250', 'microns', 'mediumresolution', 'r', '1700', 'spectroscopy', 'of', 'a', 'sample', 'of', '23', 'brown', 'dwarf', 'candidates', 'in', 'the', 'young', 'upper', 'sco', 'association', 'we', 'confirm', 'membership', 'of', '21', 'brown', 'dwarfs', 'based', 'on', 'their', 'spectral', 'shape', 'comparison', 'with', 'field', 'dwarfs', 'and', 'presence', 'of', 'weak', 'gravitysensitive', 'features', 'their', 'spectral', 'types', 'range', 'from', 'm8', 'to', 'l2', 'with', 'an', 'uncertainty', 'of', 'a', 'subclass', 'suggesting', 'effective', 'temperatures', 'between', '2700', 'and', '1800', 'k', 'with', 'an', 'uncertainty', 'up', 'to', '300', 'k', 'and', 'masses', 'in', 'the', '308', 'mjup', 'range', 'among', 'the', 'nonmembers', 'we', 'have', 'uncovered', 'a', 'field', 'l2', 'dwarf', 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711.111 | Bright OB stars in the Galaxy IV. Stellar and wind parameters of early
to late B supergiants | We apply the NLTE atmosphere code FASTWIND to perform a spectroscopic study
of a small sample of Galactic B-supergiants from B0 to B9. By means of the
resulting data and incorporating additional datasets from alternative studies,
we investigate the properties of OB-supergiants and compare our findings with
theoretical predictions. As a result we find that due to the combined effects
of line- and wind-blanketing, the temperature scale of Galactic B-supergiants
needs to be revised downwards, by 10 to 20 percent, the latter value being
appropriate for stronger winds. In fair accordance with recent results, our
sample furthermore indicates a gradual decrease in wind terminal velocities
over the bi-stability region, where the limits of this region are located at
lower temperatures than the predicted ones. Introducing a distance-independent
quantity Q' related to wind-strength, we also show that this quantity is a well
defined, monotonically increasing function of Teff outside this region. Inside
and from hot to cool, the mass loss rate changes by a factor (in between 0.4
and 2.5) which is (much) smaller than the predicted factor of 5. All this
indicates that the decrease in wind terminal velocity over the bi-stability
region is not over-compensated by an increase of mass loss rate, as frequently
argued (provided the wind-clumping properties on both sides of this region do
not differ substantially).
| astro-ph | we apply the nlte atmosphere code fastwind to perform a spectroscopic study of a small sample of galactic bsupergiants from b0 to b9 by means of the resulting data and incorporating additional datasets from alternative studies we investigate the properties of obsupergiants and compare our findings with theoretical predictions as a result we find that due to the combined effects of line and windblanketing the temperature scale of galactic bsupergiants needs to be revised downwards by 10 to 20 percent the latter value being appropriate for stronger winds in fair accordance with recent results our sample furthermore indicates a gradual decrease in wind terminal velocities over the bistability region where the limits of this region are located at lower temperatures than the predicted ones introducing a distanceindependent quantity q related to windstrength we also show that this quantity is a well defined monotonically increasing function of teff outside this region inside and from hot to cool the mass loss rate changes by a factor in between 04 and 25 which is much smaller than the predicted factor of 5 all this indicates that the decrease in wind terminal velocity over the bistability region is not overcompensated by an increase of mass loss rate as frequently argued provided the windclumping properties on both sides of this region do not differ substantially | [['we', 'apply', 'the', 'nlte', 'atmosphere', 'code', 'fastwind', 'to', 'perform', 'a', 'spectroscopic', 'study', 'of', 'a', 'small', 'sample', 'of', 'galactic', 'bsupergiants', 'from', 'b0', 'to', 'b9', 'by', 'means', 'of', 'the', 'resulting', 'data', 'and', 'incorporating', 'additional', 'datasets', 'from', 'alternative', 'studies', 'we', 'investigate', 'the', 'properties', 'of', 'obsupergiants', 'and', 'compare', 'our', 'findings', 'with', 'theoretical', 'predictions', 'as', 'a', 'result', 'we', 'find', 'that', 'due', 'to', 'the', 'combined', 'effects', 'of', 'line', 'and', 'windblanketing', 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711.1111 | The Spin-Statistics Theorem in Arbitrary Dimensions | We investigate the spin-statistics connection in arbitrary dimensions for
hermitian spinor or tensor quantum fields with a rotationally invariant
bilinear Lagrangian density. We use essentially the same simple method as for
space dimension D = 3. We find the usual connection (tensors as bosons and
spinors as fermions) for D = 8n + 3; 8n + 4; 8n + 5, but only bosons for
spinors and tensors in dimensions 8n +/- 1 and 8n. In dimensions 4n + 2 the
spinors may be chosen as bosons or fermions. The argument hinges on finding the
identity representation of the rotation group either on the symmetric or the
antisymmetric part of the square of the field representation.
| hep-th | we investigate the spinstatistics connection in arbitrary dimensions for hermitian spinor or tensor quantum fields with a rotationally invariant bilinear lagrangian density we use essentially the same simple method as for space dimension d 3 we find the usual connection tensors as bosons and spinors as fermions for d 8n 3 8n 4 8n 5 but only bosons for spinors and tensors in dimensions 8n 1 and 8n in dimensions 4n 2 the spinors may be chosen as bosons or fermions the argument hinges on finding the identity representation of the rotation group either on the symmetric or the antisymmetric part of the square of the field representation | [['we', 'investigate', 'the', 'spinstatistics', 'connection', 'in', 'arbitrary', 'dimensions', 'for', 'hermitian', 'spinor', 'or', 'tensor', 'quantum', 'fields', 'with', 'a', 'rotationally', 'invariant', 'bilinear', 'lagrangian', 'density', 'we', 'use', 'essentially', 'the', 'same', 'simple', 'method', 'as', 'for', 'space', 'dimension', 'd', '3', 'we', 'find', 'the', 'usual', 'connection', 'tensors', 'as', 'bosons', 'and', 'spinors', 'as', 'fermions', 'for', 'd', '8n', '3', '8n', '4', '8n', '5', 'but', 'only', 'bosons', 'for', 'spinors', 'and', 'tensors', 'in', 'dimensions', '8n', '1', 'and', '8n', 'in', 'dimensions', '4n', '2', 'the', 'spinors', 'may', 'be', 'chosen', 'as', 'bosons', 'or', 'fermions', 'the', 'argument', 'hinges', 'on', 'finding', 'the', 'identity', 'representation', 'of', 'the', 'rotation', 'group', 'either', 'on', 'the', 'symmetric', 'or', 'the', 'antisymmetric', 'part', 'of', 'the', 'square', 'of', 'the', 'field', 'representation']] | [-0.17431352807303752, 0.22140078180193626, -0.0057016682845574835, 0.06266347221443774, -0.05271626392776078, -0.20130967702802824, -0.029996309422939602, 0.3244678352407559, -0.19282909149855929, -0.2596819800738659, 0.10588160239664528, -0.2673906552588084, -0.16478557581797726, 0.03767157213641675, 0.048676122117925574, -0.012531425458965477, -0.030383816566663207, 0.10212838966226964, -0.14680301413560906, -0.2918587813878225, 0.3811835090940197, -0.049580458492359696, 0.20379827002007342, 0.025564846119205294, 0.11898986059801515, 0.0693347511847538, -0.010711552105257633, -0.06566332368189857, -0.05115467825628541, 0.10207012786391985, 0.17995430271279206, 0.045974615937599016, 0.12011957075446844, -0.40281975479727544, -0.14553466030715587, 0.11745481844560278, 0.18972721285859329, 0.08576423219293011, 0.012797014100080426, -0.2938949483213946, 0.049764843519639085, -0.16685049723902787, -0.2013114149923678, -0.11672657156466609, 0.052798175392025665, -0.1122876111012711, -0.27047492649095756, 0.09339982716159688, 0.10758635087081024, 0.0838104055211362, -0.06327274630786162, -0.18931946348985312, -0.015280323879172405, 0.04560058179884908, 0.0231675340845767, 0.06695068862582385, 0.08021140695739261, -0.14523533404011418, -0.16152287294863965, 0.4067491113889479, -0.09599729648929227, -0.3331091037037334, 0.19456117919266777, -0.12689495875707102, -0.11668728827498853, 0.06521199675302745, 0.14701582457335596, 0.10589068903829213, -0.06028442139978762, 0.17891835907519432, -0.08148220525213724, 0.14899967011404913, 0.10958226428677638, 0.03461730387493002, 0.15436339699253612, 0.025830989634549176, 0.09554827507343833, 0.07876424643499949, -0.03137747194893934, -0.0644127579095463, -0.3553767273961394, -0.2567547490158446, -0.21389179390906873, 0.1468140226530118, -0.1551771375639806, -0.11525507570951488, 0.37080474092228405, 0.03386556157622383, 0.17726275615482504, 0.06797606794646492, 0.22558773729812215, 0.08770556676770663, 0.10593157769956936, 0.09114760889119848, 0.20967962446243124, 0.19283530550698438, 0.024522827224616236, -0.1427167170525839, -0.1271813351109072, 0.15701037604163434] |
711.1112 | Superconducting and Spinning Non-Abelian Flux Tubes | We find new non-Abelian flux tube solutions in a model of $N_f$ scalar fields
in the fundamental representation of SU(N)xU(1) with $N \leq N_f$ (the
``extended non-Abelian Higgs model''), and study their main properties. Among
the solutions there are spinning strings as well as superconducting ones. The
solutions exist only in a non trivial domain of the parameter space defined by
the ratio between the SU(N) and U(1) coupling constants, the scalar
self-interaction coupling constants, the magnetic fluxes (Abelian as well as
non-Abelian) and the ``twist parameter'' which is a non-trivial relative phase
of the Higgs fields.
| hep-th | we find new nonabelian flux tube solutions in a model of n_f scalar fields in the fundamental representation of sunxu1 with n leq n_f the extended nonabelian higgs model and study their main properties among the solutions there are spinning strings as well as superconducting ones the solutions exist only in a non trivial domain of the parameter space defined by the ratio between the sun and u1 coupling constants the scalar selfinteraction coupling constants the magnetic fluxes abelian as well as nonabelian and the twist parameter which is a nontrivial relative phase of the higgs fields | [['we', 'find', 'new', 'nonabelian', 'flux', 'tube', 'solutions', 'in', 'a', 'model', 'of', 'n_f', 'scalar', 'fields', 'in', 'the', 'fundamental', 'representation', 'of', 'sunxu1', 'with', 'n', 'leq', 'n_f', 'the', 'extended', 'nonabelian', 'higgs', 'model', 'and', 'study', 'their', 'main', 'properties', 'among', 'the', 'solutions', 'there', 'are', 'spinning', 'strings', 'as', 'well', 'as', 'superconducting', 'ones', 'the', 'solutions', 'exist', 'only', 'in', 'a', 'non', 'trivial', 'domain', 'of', 'the', 'parameter', 'space', 'defined', 'by', 'the', 'ratio', 'between', 'the', 'sun', 'and', 'u1', 'coupling', 'constants', 'the', 'scalar', 'selfinteraction', 'coupling', 'constants', 'the', 'magnetic', 'fluxes', 'abelian', 'as', 'well', 'as', 'nonabelian', 'and', 'the', 'twist', 'parameter', 'which', 'is', 'a', 'nontrivial', 'relative', 'phase', 'of', 'the', 'higgs', 'fields']] | [-0.19746136332590444, 0.2545141167914456, -0.0054573049415012065, 0.09683695296431931, -0.0677017453708686, -0.15150814825028647, 0.023937936765529837, 0.32609264231480967, -0.1918993725460799, -0.3147370383764307, 0.07358692812097918, -0.244173781509744, -0.11001052156158646, 0.13816140092967544, 0.030222370074170612, 0.02889650092887071, -0.03561583759922845, 0.08476942022389267, -0.06619513269833988, -0.22422534002301595, 0.3323219133890234, -0.061968456858570185, 0.25258215200544026, 0.042917990610779576, 0.06502311544803281, -0.04266331529652234, 0.015829172162436105, -0.008350521331218866, -0.13977134252976006, 0.05510218693477024, 0.18969927423556024, -0.0005523081975600993, 0.13301853474695235, -0.36027397186262533, -0.21557578173330208, 0.14409939792434065, 0.16021766949658436, 0.07723215056830668, -0.027602692397825496, -0.29553878706065007, 0.05219866645347793, -0.16675452965622148, -0.1497093872797753, -0.10047564427562368, 0.019127581414068118, 0.00961951479500082, -0.2694992950831268, 0.07679833399500542, 0.022924029067401836, 0.046756924159126356, -0.072512240736008, -0.11548520400295577, -0.08305755513720214, 0.0869491666429288, 0.1967134284398829, 0.07743998455650096, 0.09618008095033777, -0.26713115913056146, -0.12812806774794203, 0.3898961873880277, -0.10854794337744049, -0.22763838822235508, 0.1447051241605853, -0.12477379644951725, -0.10616180124634411, 0.10036674728326034, 0.11591350647601455, 0.1507574585848488, -0.06705467303982005, 0.22866225377280594, -0.05788255270454101, 0.17294833344446184, 0.056577068777793706, 0.0561630526111306, 0.25149971777379204, 0.10495197346123557, 0.05857523231922338, 0.11064761560798313, -0.020248054177500308, -0.09917665503841515, -0.403529493836686, -0.1773848656703194, -0.14316119503807082, 0.08190392110554967, -0.14861205176763784, -0.20753808570225374, 0.40478588800275855, 0.08093889448597717, 0.1863630020088749, -0.0048932285559809925, 0.2175885863301422, 0.08277824715575359, 0.08195205929951044, 0.05689997140143532, 0.27669747817950946, 0.2393459500769192, 0.08025315893367709, -0.23189966178870236, -0.11215331332884186, 0.1392575432303905] |
711.1113 | On the blow-up problem and new a priori estimates for the 3D Euler and
the Navier-Stokes equations | We study blow-up rates and the blow-up profiles of possible asymptotically
self-similar singularities of the 3D Euler equations, where the sense of
convergence and self-similarity are considered in various sense. We extend much
further, in particular, the previous nonexistence results of
self-similar/asymptotically self-similar singularities obtained in
\cite{cha1,cha2}. Some implications the notions for the 3D Navier-Stokes
equations are also deduced. Generalization of the self-similar transforms is
also considered, and by appropriate choice of the transform we obtain new
\textit{a priori} estimates for the 3D Euler and the Navier-Stokes equations.
| math.AP | we study blowup rates and the blowup profiles of possible asymptotically selfsimilar singularities of the 3d euler equations where the sense of convergence and selfsimilarity are considered in various sense we extend much further in particular the previous nonexistence results of selfsimilarasymptotically selfsimilar singularities obtained in citecha1cha2 some implications the notions for the 3d navierstokes equations are also deduced generalization of the selfsimilar transforms is also considered and by appropriate choice of the transform we obtain new textita priori estimates for the 3d euler and the navierstokes equations | [['we', 'study', 'blowup', 'rates', 'and', 'the', 'blowup', 'profiles', 'of', 'possible', 'asymptotically', 'selfsimilar', 'singularities', 'of', 'the', '3d', 'euler', 'equations', 'where', 'the', 'sense', 'of', 'convergence', 'and', 'selfsimilarity', 'are', 'considered', 'in', 'various', 'sense', 'we', 'extend', 'much', 'further', 'in', 'particular', 'the', 'previous', 'nonexistence', 'results', 'of', 'selfsimilarasymptotically', 'selfsimilar', 'singularities', 'obtained', 'in', 'citecha1cha2', 'some', 'implications', 'the', 'notions', 'for', 'the', '3d', 'navierstokes', 'equations', 'are', 'also', 'deduced', 'generalization', 'of', 'the', 'selfsimilar', 'transforms', 'is', 'also', 'considered', 'and', 'by', 'appropriate', 'choice', 'of', 'the', 'transform', 'we', 'obtain', 'new', 'textita', 'priori', 'estimates', 'for', 'the', '3d', 'euler', 'and', 'the', 'navierstokes', 'equations']] | [-0.11069003866205729, 0.02596343608659714, -0.09886665572953779, 0.14073806766794214, -0.09059809015110828, -0.10938151685391055, -0.03390225928363412, 0.2755621382316878, -0.25962133822572786, -0.20531648700666982, 0.1462239968051679, -0.259579811099007, -0.15414406779644535, 0.20803689506164816, -0.06534247132841238, 0.14723969341883825, 0.05240930675334016, -0.004744771434817203, -0.13029870105065341, -0.24851790526448642, 0.4071938552633794, -0.011280425141977017, 0.27591201030584267, 0.01328851047600078, 0.10226584217771022, -0.08023053338632075, -0.06836295405099559, 0.04243029343224196, -0.26931261700079884, 0.06587499282376971, 0.2135820168038007, 0.082918721684363, 0.22179311760809534, -0.4428247099872245, -0.24450105398373548, 0.07671028699964112, 0.20811312789974604, 0.11942642750110218, -0.05628627740106611, -0.3200007789513789, 0.13096795328567887, -0.09504919101722366, -0.21279498744691008, -0.08452537903822092, 0.002763567037533882, 0.1197307420174353, -0.2611294426240547, 0.09804749239958975, 0.13424069959356255, 0.05694512986164502, -0.16875633363460385, -0.07750458208584161, -0.034098459815140814, 0.09751354910563244, 0.08812084527642922, -0.043007591492929605, 0.02429600175318503, -0.14853423776993052, -0.06680135861266577, 0.3824728403651957, -0.05865043049764841, -0.3277954422370639, 0.175236864324096, -0.15222440678409713, -0.11581988265023155, 0.11663316374882883, 0.12331487466906045, 0.16432711018552615, -0.08536786266580917, 0.10613046202884424, -0.09407667166940586, 0.06653723824595989, 0.13878554379740773, 0.01016966754917142, 0.055520168137411736, 0.09887283147843338, 0.09924834947708215, 0.11398611500112037, -0.0532175385187445, -0.13042945709407092, -0.36506170450254927, -0.18116635822712682, -0.13008653327042974, 0.095368015024876, -0.15550265022550797, -0.18600781229432933, 0.36429407031730165, 0.16325264064551787, 0.16959382307737372, 0.11619238205643934, 0.22363874495711697, 0.16322481926790502, -0.05043893991319766, 0.08549106631666249, 0.21687177684717152, 0.1493528234951068, 0.13813974615186453, -0.17195009460894736, 0.03500483868383737, 0.19761182399748198] |
711.1114 | Intramolecular distances and form factor of cyclic chains with excluded
volume interactions | Numerical simulations are performed for isolated cyclic chains with excluded
volume. Data are reported for the form factor, S(x), where x is the reduced
scattering variable, and also for averages and distributions of the distance
between intramolecular units. The averages of distances are compared with two
alternative expressions describing their dependence with the number of segments
separating the units. The distribution function results are compared with the
des Cloizeaux form. Finally the S(x) data are compared with theoretical
functions also derived from the des Cloizeaux expression for the distribution
function. Moreover, the low x and asymptotic expansions of these functions are
obtained. Based on these expansions, simple formulas are proposed to give a
good description of the simulation data in the whole range of values of x. A
comparison with similar results for linear chains is also included.
| cond-mat.soft cond-mat.stat-mech | numerical simulations are performed for isolated cyclic chains with excluded volume data are reported for the form factor sx where x is the reduced scattering variable and also for averages and distributions of the distance between intramolecular units the averages of distances are compared with two alternative expressions describing their dependence with the number of segments separating the units the distribution function results are compared with the des cloizeaux form finally the sx data are compared with theoretical functions also derived from the des cloizeaux expression for the distribution function moreover the low x and asymptotic expansions of these functions are obtained based on these expansions simple formulas are proposed to give a good description of the simulation data in the whole range of values of x a comparison with similar results for linear chains is also included | [['numerical', 'simulations', 'are', 'performed', 'for', 'isolated', 'cyclic', 'chains', 'with', 'excluded', 'volume', 'data', 'are', 'reported', 'for', 'the', 'form', 'factor', 'sx', 'where', 'x', 'is', 'the', 'reduced', 'scattering', 'variable', 'and', 'also', 'for', 'averages', 'and', 'distributions', 'of', 'the', 'distance', 'between', 'intramolecular', 'units', 'the', 'averages', 'of', 'distances', 'are', 'compared', 'with', 'two', 'alternative', 'expressions', 'describing', 'their', 'dependence', 'with', 'the', 'number', 'of', 'segments', 'separating', 'the', 'units', 'the', 'distribution', 'function', 'results', 'are', 'compared', 'with', 'the', 'des', 'cloizeaux', 'form', 'finally', 'the', 'sx', 'data', 'are', 'compared', 'with', 'theoretical', 'functions', 'also', 'derived', 'from', 'the', 'des', 'cloizeaux', 'expression', 'for', 'the', 'distribution', 'function', 'moreover', 'the', 'low', 'x', 'and', 'asymptotic', 'expansions', 'of', 'these', 'functions', 'are', 'obtained', 'based', 'on', 'these', 'expansions', 'simple', 'formulas', 'are', 'proposed', 'to', 'give', 'a', 'good', 'description', 'of', 'the', 'simulation', 'data', 'in', 'the', 'whole', 'range', 'of', 'values', 'of', 'x', 'a', 'comparison', 'with', 'similar', 'results', 'for', 'linear', 'chains', 'is', 'also', 'included']] | [-0.11309796852140647, 0.07899023057973903, -0.09904633315138357, 0.07437663151295451, -0.005605008505433258, -0.08449753443035635, 0.02746898186919482, 0.37260696819672984, -0.23083060505071087, -0.29821858336420165, 0.0943111778410705, -0.3433118615690889, -0.08606306195893473, 0.25950050594258134, 0.028044322406577008, 0.04520256004721834, 0.06813300453106184, 0.035214593738614436, -0.11832998541818149, -0.23604329517516104, 0.2784501977629312, 0.037829964890725154, 0.26435427811752626, -0.013310067018197067, 0.08205890669942954, 0.0006008810836963518, -0.06012466223910451, 0.01898991757247975, -0.17281181443536628, 0.13835929843016725, 0.22951193411996507, 0.07525229729050635, 0.1715511125377447, -0.4026820976371486, -0.16030556837474738, 0.08348969190273488, 0.134367769246624, 0.058200734950925995, -0.03339790734816748, -0.24634845927357674, 0.1178439225726491, -0.1507113091107728, -0.09815534783199942, -0.08646871080365626, 0.0345318810508141, 0.15968168620357587, -0.2910807339400323, 0.12797231781039137, -0.008941998455565477, 0.08260096384754803, -0.0799240146331705, -0.21172537648395728, -0.027462250796025215, 0.13748059662116313, 0.05308353489069133, 0.01760649386509929, 0.08684718437776294, -0.09001004582513934, -0.061790924121126314, 0.34975624443504255, -0.057031734723790105, -0.23687719486559322, 0.17995455934990034, -0.1630700635318847, -0.10788761419952726, 0.1301831695912541, 0.11227851118082585, 0.12364274982794904, -0.13450737326554413, 0.07364527682121674, -0.021396263404681846, 0.13350037319342728, 0.04910612608765023, 0.05343266891693507, 0.14914096236579877, 0.12260727277295529, -0.016942571679913046, 0.12051590668346288, -0.09097228255257875, -0.11736842047632334, -0.34097077405971027, -0.12389769520529587, -0.16590134971235218, 0.006262536442406691, -0.14356152052230597, -0.1650832629546631, 0.32425426210249786, 0.07788988859628908, 0.2479743055857556, 0.13202517702028263, 0.24010260132532837, 0.1469297148084835, 0.054564527947914554, 0.04251280938869045, 0.17940676715090006, 0.13524398227910633, 0.02021446489000126, -0.17016050380998818, 0.065675758802251, 0.046650863563021026] |
711.1115 | Gravitational-Wave Data Analysis. Formalism and Sample Applications: The
Gaussian Case | The article reviews the statistical theory of signal detection in application
to analysis of deterministic gravitational-wave signals in the noise of a
detector. Statistical foundations for the theory of signal detection and
parameter estimation are presented. Several tools needed for both theoretical
evaluation of the optimal data analysis methods and for their practical
implementation are introduced. They include optimal signal-to-noise ratio,
Fisher matrix, false alarm and detection probabilities,
$\mathcal{F}$-statistic, template placement, and fitting factor. These tools
apply to the case of signals buried in a stationary and Gaussian noise.
Algorithms to efficiently implement the optimal data analysis techniques are
discussed. Formulas are given for a general gravitational-wave signal that
includes as special cases most of the deterministic signals of interest.
| gr-qc | the article reviews the statistical theory of signal detection in application to analysis of deterministic gravitationalwave signals in the noise of a detector statistical foundations for the theory of signal detection and parameter estimation are presented several tools needed for both theoretical evaluation of the optimal data analysis methods and for their practical implementation are introduced they include optimal signaltonoise ratio fisher matrix false alarm and detection probabilities mathcalfstatistic template placement and fitting factor these tools apply to the case of signals buried in a stationary and gaussian noise algorithms to efficiently implement the optimal data analysis techniques are discussed formulas are given for a general gravitationalwave signal that includes as special cases most of the deterministic signals of interest | [['the', 'article', 'reviews', 'the', 'statistical', 'theory', 'of', 'signal', 'detection', 'in', 'application', 'to', 'analysis', 'of', 'deterministic', 'gravitationalwave', 'signals', 'in', 'the', 'noise', 'of', 'a', 'detector', 'statistical', 'foundations', 'for', 'the', 'theory', 'of', 'signal', 'detection', 'and', 'parameter', 'estimation', 'are', 'presented', 'several', 'tools', 'needed', 'for', 'both', 'theoretical', 'evaluation', 'of', 'the', 'optimal', 'data', 'analysis', 'methods', 'and', 'for', 'their', 'practical', 'implementation', 'are', 'introduced', 'they', 'include', 'optimal', 'signaltonoise', 'ratio', 'fisher', 'matrix', 'false', 'alarm', 'and', 'detection', 'probabilities', 'mathcalfstatistic', 'template', 'placement', 'and', 'fitting', 'factor', 'these', 'tools', 'apply', 'to', 'the', 'case', 'of', 'signals', 'buried', 'in', 'a', 'stationary', 'and', 'gaussian', 'noise', 'algorithms', 'to', 'efficiently', 'implement', 'the', 'optimal', 'data', 'analysis', 'techniques', 'are', 'discussed', 'formulas', 'are', 'given', 'for', 'a', 'general', 'gravitationalwave', 'signal', 'that', 'includes', 'as', 'special', 'cases', 'most', 'of', 'the', 'deterministic', 'signals', 'of', 'interest']] | [-0.08823951749751965, 0.004015073684665064, -0.04306011557928287, 0.11644775810321638, -0.06773207767206865, -0.16678414068495234, 0.07316152546360778, 0.3594475874696703, -0.20981275528999202, -0.307994269785316, 0.17705448332805343, -0.2900591867141581, -0.18755436830300218, 0.2584467831028936, -0.07169628597269669, 0.15532430646805248, 0.0748517444046835, 0.02010400944467013, -0.07299334540051253, -0.22017483067077895, 0.23690206666554633, 0.11639368641190231, 0.31131074457274127, -0.02281442976091057, 0.06967306542016255, 0.03535556544860204, -0.13164463284483646, -0.028951452545288702, -0.12667093709490776, 0.11048814264552978, 0.3610696214032941, 0.24883531656426688, 0.24784706163530548, -0.37651226579522096, -0.2086870653166746, 0.12529583917930723, 0.10726862227699409, 0.14910662112233694, -0.07073997552506625, -0.3089258716548405, 0.08051731090138976, -0.13954939463874325, -0.05335343646002002, -0.09909330410688805, 0.0018138704705052077, 0.046997198819493255, -0.31099897060388076, 0.0810222834503899, 0.06313606168453892, 0.0256624630264317, -0.025950370905532812, -0.15895526620928044, 0.07792678847132871, 0.12693393520312385, 0.04909378672018647, -0.04577172886735449, 0.17481151771886896, -0.12364559064929684, -0.1643027910865688, 0.3351257232017815, -0.05745948093632857, -0.2236129288561642, 0.14885224264968808, -0.08476438587531447, -0.1720634847180918, 0.16633247296655707, 0.241263546453168, 0.10375637301864724, -0.17897762524468513, 0.05116923367362081, 0.07371553754637716, 0.16118662691054245, 0.05028232149779797, 0.0591109779648832, 0.16810476499182794, 0.15461135141861934, 0.057400683646361965, 0.11890981443769609, -0.14773696685830753, -0.08064759911115592, -0.3131615259340227, -0.10087399308492119, -0.18460767210053747, -0.01893551775428932, -0.10918549836048139, -0.16756148290199538, 0.387011887303864, 0.1997343648225069, 0.12184809241637898, 0.07585468733062346, 0.36591424137392703, 0.12627054540498647, -0.033323559873194124, 0.0295408136327751, 0.2542382226344974, 0.17436434951766083, 0.05909746035467833, -0.13266942980602228, 0.07070212083635852, 0.00304481572311488] |
711.1116 | Down Type Isosinglet Quarks in ATLAS | We evaluate the discovery reach of the ATLAS experiment for down type
isosinglet quarks, $D$, using both their neutral and charged decay channels,
namely the process $pp\to D\bar{D}+X$ with subsequent decays resulting in
$2\ell+2j+E^{miss}_{T}$, $3\ell+2j+E^{miss}_{T}$ and $2\ell+4j$ final states.
The integrated luminosity required for observation of a heavy quark is
estimated for a mass range between 600 and 1000 GeV using the combination of
results from different search channels.
| hep-ph | we evaluate the discovery reach of the atlas experiment for down type isosinglet quarks d using both their neutral and charged decay channels namely the process ppto dbardx with subsequent decays resulting in 2ell2jemiss_t 3ell2jemiss_t and 2ell4j final states the integrated luminosity required for observation of a heavy quark is estimated for a mass range between 600 and 1000 gev using the combination of results from different search channels | [['we', 'evaluate', 'the', 'discovery', 'reach', 'of', 'the', 'atlas', 'experiment', 'for', 'down', 'type', 'isosinglet', 'quarks', 'd', 'using', 'both', 'their', 'neutral', 'and', 'charged', 'decay', 'channels', 'namely', 'the', 'process', 'ppto', 'dbardx', 'with', 'subsequent', 'decays', 'resulting', 'in', '2ell2jemiss_t', '3ell2jemiss_t', 'and', '2ell4j', 'final', 'states', 'the', 'integrated', 'luminosity', 'required', 'for', 'observation', 'of', 'a', 'heavy', 'quark', 'is', 'estimated', 'for', 'a', 'mass', 'range', 'between', '600', 'and', '1000', 'gev', 'using', 'the', 'combination', 'of', 'results', 'from', 'different', 'search', 'channels']] | [-0.015953698250142714, 0.2483729994855821, -0.028291371393089113, 0.09566245402778664, 0.00523323854073309, -0.1472500367090106, 0.10309978605498775, 0.33590691783107246, -0.2060823880565854, -0.3422089553796328, 0.046473195353666175, -0.3296083226083563, 0.058639197477784295, 0.1542146695455393, 0.1287335044489457, 0.07701816038013651, 0.13783151554660156, -0.008256446118824756, -0.07486574346414553, -0.18091204613088988, 0.2901755618916538, 0.019407470259242332, 0.21259986657219437, 0.12022386399599222, 0.06654100210334246, 0.04134299699575282, -0.07955406197848228, -0.11701557816077883, -0.10122787499657045, 0.05370582544083635, 0.17349768297012466, 0.1273615690646693, 0.14185908774916942, -0.3425188813358545, -0.0827378233285764, 0.1416617509837334, 0.17104647995617528, 0.0609268449103603, -0.10529952096537902, -0.3351270313303058, 0.13692168389948514, -0.2026215954683721, -0.09745189406407567, -0.013729268928559926, 0.027354471292346715, -0.06033042988095146, -0.37011003454144187, 0.09529203019248178, -0.07196240293291899, 0.02721145104867621, -0.040172286754330766, -0.20572760304292806, -0.050686635707433404, 0.06330633351149467, 0.07826528786636817, 0.04291563459421293, 0.19466982028948573, -0.16498519849432902, -0.16680370199565703, 0.3202003663405776, -0.11853525578581657, -0.11787877017632127, 0.2335659387234885, -0.14125877462614042, -0.07471701171105871, 0.16729066331799214, 0.2699545830488205, 0.10410576448417627, -0.22201321553438902, 0.06413913999343863, 0.014690291938873438, 0.15390621693088458, 0.07467015561862633, 0.08885014488075216, 0.2244785347666878, 0.24076520874021717, -0.04963462140697699, 0.10039985280555601, -0.16237241645845082, -0.061319970052975875, -0.3753259389446332, -0.1533671738481364, -0.07788163293869449, 0.039012508620866214, -0.05022417094061474, -0.03404001567799311, 0.4079130276177938, 0.09964650308784957, 0.29682798670748106, 0.040931535633997276, 0.24534601378433693, 0.07344920400243539, 0.08087550566101877, 0.06779800321763525, 0.30740566660578433, 0.17733800828170318, 0.13896613871821992, -0.21940917059277687, 0.0028719574302578203, -0.004561890668880481] |
711.1117 | Local contact stress measurements at a rough interface | An original MEMS-based force sensing device is designed which allows to
measure spatially resolved normal and tangential stress fields at the base of
an elastomeric film. This device is used for the study of the contact stress
between a rough film and a smooth glass sphere under normal load. The measured
profiles are compared to Finite Elements Method calculations for a smooth
contact with boundary conditions obeying Amontons-Coulomb's friction law. The
accuracy of the measurements allows to discriminate between dry and lubricated
contact conditions and to evidence load-dependent deviations from
Amontons-Coulomb's profiles. These deviations are qualitatively interpreted by
taking into account the finite compliance of the micro-contact population.
| cond-mat.soft | an original memsbased force sensing device is designed which allows to measure spatially resolved normal and tangential stress fields at the base of an elastomeric film this device is used for the study of the contact stress between a rough film and a smooth glass sphere under normal load the measured profiles are compared to finite elements method calculations for a smooth contact with boundary conditions obeying amontonscoulombs friction law the accuracy of the measurements allows to discriminate between dry and lubricated contact conditions and to evidence loaddependent deviations from amontonscoulombs profiles these deviations are qualitatively interpreted by taking into account the finite compliance of the microcontact population | [['an', 'original', 'memsbased', 'force', 'sensing', 'device', 'is', 'designed', 'which', 'allows', 'to', 'measure', 'spatially', 'resolved', 'normal', 'and', 'tangential', 'stress', 'fields', 'at', 'the', 'base', 'of', 'an', 'elastomeric', 'film', 'this', 'device', 'is', 'used', 'for', 'the', 'study', 'of', 'the', 'contact', 'stress', 'between', 'a', 'rough', 'film', 'and', 'a', 'smooth', 'glass', 'sphere', 'under', 'normal', 'load', 'the', 'measured', 'profiles', 'are', 'compared', 'to', 'finite', 'elements', 'method', 'calculations', 'for', 'a', 'smooth', 'contact', 'with', 'boundary', 'conditions', 'obeying', 'amontonscoulombs', 'friction', 'law', 'the', 'accuracy', 'of', 'the', 'measurements', 'allows', 'to', 'discriminate', 'between', 'dry', 'and', 'lubricated', 'contact', 'conditions', 'and', 'to', 'evidence', 'loaddependent', 'deviations', 'from', 'amontonscoulombs', 'profiles', 'these', 'deviations', 'are', 'qualitatively', 'interpreted', 'by', 'taking', 'into', 'account', 'the', 'finite', 'compliance', 'of', 'the', 'microcontact', 'population']] | [-0.11123502734160327, 0.12518560901285294, -0.14731930114794523, 0.00340075170539354, -0.04489279008056554, -0.1866092105715156, 0.02840264331057875, 0.3807806423002923, -0.2632947210567417, -0.2975520068106966, 0.03862071208034953, -0.26372322416460114, -0.09315312697327938, 0.2075335232835237, -0.07273106741787935, 0.06507040468837928, 0.017214095853786502, -0.03342848735068132, -0.07686896418238541, -0.1669713722679902, 0.3034354386445894, 0.008359377876062083, 0.34546736539858913, 0.06794648255917882, 0.10406944755878714, -0.0110021670849097, 0.005642482924654528, 0.10182204859814158, -0.17821694856199125, 0.05872865769305025, 0.2164585901795093, -0.03229151009064582, 0.1958123417571187, -0.4818593878643932, -0.2130108061074107, 0.06331873241880978, 0.043169672747522043, 0.07114808532491292, -0.01294294280362212, -0.2756448753730015, 0.06478133561365583, -0.1247453830179034, -0.16066367311523883, -0.04499766294611618, 8.489294150085361e-05, 0.027071421487360366, -0.3004004525934794, 0.09853216252910595, 0.037458982686210354, 0.0851392205130213, -0.11663133259975843, -0.05975844861974043, -0.061614160486324517, 0.15340718930949354, 0.0459884591271273, -0.01623161385672305, 0.21375688474519713, -0.09912741889948612, -0.013745611841807625, 0.3785329243961584, -0.0786763090485086, -0.20717711213769185, 0.21043177562144896, -0.13306207924270658, -0.005498914028673123, 0.16885209080107785, 0.17046941176091354, 0.05277080041998016, -0.18905848525981936, -0.0017176653167957233, 0.017931651213008014, 0.15243394985036166, 0.0973529631047751, -0.09419530907783795, 0.21391441633804115, 0.16539477930281363, 0.05772270996574123, 0.12277000305066058, -0.13151851698057726, -0.0589395979574571, -0.3064133642086138, -0.1680327156920814, -0.153358929273155, 0.046635388310446786, -0.11716531617599281, -0.17974432828594689, 0.307947468969764, 0.06571107418103903, 0.17412180263825036, 0.08442283906495301, 0.2880358925968822, 0.07307261581580085, 0.08311074663706003, 0.01719856506248039, 0.24384247806544104, 0.20660700548345362, 0.10785780309837449, -0.2266424563993631, 0.09526968379160045, -0.012039824712297155] |
711.1118 | An infrared survey of brightest cluster galaxies: Paper I | We report on an imaging survey with the Spitzer Space Telescope of 62
brightest cluster galaxies with optical line emission. These galaxies are
located in the cores of X-ray luminous clusters selected from the ROSAT All-Sky
Survey. We find that about half of these sources have a sign of excess infrared
emission; 22 objects out of 62 are detected at 70 microns, 18 have 8 to 5.8
micron flux ratios above 1.0 and 28 have 24 to 8 micron flux ratios above 1.0.
Altogether 35 of 62 objects in our survey exhibit at least one of these signs
of infrared excess. Four galaxies with infrared excesses have a 4.5/3.6 micron
flux ratio indicating the presence of hot dust, and/or an unresolved nucleus at
8 microns. Three of these have high measured [OIII](5007A)/Hbeta flux ratios
suggesting that these four, Abell 1068, Abell 2146, and Zwicky 2089, and
R0821+07, host dusty active galactic nuclei (AGNs). 9 objects (including the
four hosting dusty AGNs) have infrared luminosities greater than 10^11 L_sol
and so can be classified as luminous infrared galaxies (LIRGs). Excluding the
four systems hosting dusty AGNs, the excess mid-infrared emission in the
remaining brightest cluster galaxies is likely related to star formation.
| astro-ph | we report on an imaging survey with the spitzer space telescope of 62 brightest cluster galaxies with optical line emission these galaxies are located in the cores of xray luminous clusters selected from the rosat allsky survey we find that about half of these sources have a sign of excess infrared emission 22 objects out of 62 are detected at 70 microns 18 have 8 to 58 micron flux ratios above 10 and 28 have 24 to 8 micron flux ratios above 10 altogether 35 of 62 objects in our survey exhibit at least one of these signs of infrared excess four galaxies with infrared excesses have a 4536 micron flux ratio indicating the presence of hot dust andor an unresolved nucleus at 8 microns three of these have high measured oiii5007ahbeta flux ratios suggesting that these four abell 1068 abell 2146 and zwicky 2089 and r082107 host dusty active galactic nuclei agns 9 objects including the four hosting dusty agns have infrared luminosities greater than 1011 l_sol and so can be classified as luminous infrared galaxies lirgs excluding the four systems hosting dusty agns the excess midinfrared emission in the remaining brightest cluster galaxies is likely related to star formation | [['we', 'report', 'on', 'an', 'imaging', 'survey', 'with', 'the', 'spitzer', 'space', 'telescope', 'of', '62', 'brightest', 'cluster', 'galaxies', 'with', 'optical', 'line', 'emission', 'these', 'galaxies', 'are', 'located', 'in', 'the', 'cores', 'of', 'xray', 'luminous', 'clusters', 'selected', 'from', 'the', 'rosat', 'allsky', 'survey', 'we', 'find', 'that', 'about', 'half', 'of', 'these', 'sources', 'have', 'a', 'sign', 'of', 'excess', 'infrared', 'emission', '22', 'objects', 'out', 'of', '62', 'are', 'detected', 'at', '70', 'microns', '18', 'have', '8', 'to', '58', 'micron', 'flux', 'ratios', 'above', '10', 'and', '28', 'have', '24', 'to', '8', 'micron', 'flux', 'ratios', 'above', '10', 'altogether', '35', 'of', '62', 'objects', 'in', 'our', 'survey', 'exhibit', 'at', 'least', 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711.1119 | Stability of CFL cores in Hybrid Stars | We study the equation state of strongly interacting quark matter within a
NJL-like model in which the chiral condensates and the color superconducting
gaps are computed self-consistently as a function of the baryon density. A
vector interaction term is added to the Lagrangian in order to render the quark
matter equation of state stiffer. For the low density hadronic phase we use a
relativistic mean field model. The phase transition to quark matter is computed
by a Maxwell construction. We show that stable CFL cores in hybrid stars are
possible if the superconducting gap is sufficiently large. Moreover we find
stable stellar configurations in which two phase transitions occur, a first
transition from hadronic matter to 2SC quark matter and a second transition
from 2SC quark matter to CFL quark matter.
| astro-ph | we study the equation state of strongly interacting quark matter within a njllike model in which the chiral condensates and the color superconducting gaps are computed selfconsistently as a function of the baryon density a vector interaction term is added to the lagrangian in order to render the quark matter equation of state stiffer for the low density hadronic phase we use a relativistic mean field model the phase transition to quark matter is computed by a maxwell construction we show that stable cfl cores in hybrid stars are possible if the superconducting gap is sufficiently large moreover we find stable stellar configurations in which two phase transitions occur a first transition from hadronic matter to 2sc quark matter and a second transition from 2sc quark matter to cfl quark matter | [['we', 'study', 'the', 'equation', 'state', 'of', 'strongly', 'interacting', 'quark', 'matter', 'within', 'a', 'njllike', 'model', 'in', 'which', 'the', 'chiral', 'condensates', 'and', 'the', 'color', 'superconducting', 'gaps', 'are', 'computed', 'selfconsistently', 'as', 'a', 'function', 'of', 'the', 'baryon', 'density', 'a', 'vector', 'interaction', 'term', 'is', 'added', 'to', 'the', 'lagrangian', 'in', 'order', 'to', 'render', 'the', 'quark', 'matter', 'equation', 'of', 'state', 'stiffer', 'for', 'the', 'low', 'density', 'hadronic', 'phase', 'we', 'use', 'a', 'relativistic', 'mean', 'field', 'model', 'the', 'phase', 'transition', 'to', 'quark', 'matter', 'is', 'computed', 'by', 'a', 'maxwell', 'construction', 'we', 'show', 'that', 'stable', 'cfl', 'cores', 'in', 'hybrid', 'stars', 'are', 'possible', 'if', 'the', 'superconducting', 'gap', 'is', 'sufficiently', 'large', 'moreover', 'we', 'find', 'stable', 'stellar', 'configurations', 'in', 'which', 'two', 'phase', 'transitions', 'occur', 'a', 'first', 'transition', 'from', 'hadronic', 'matter', 'to', '2sc', 'quark', 'matter', 'and', 'a', 'second', 'transition', 'from', '2sc', 'quark', 'matter', 'to', 'cfl', 'quark', 'matter']] | [-0.13066680041205792, 0.32487010721646903, -0.13551396254240358, 0.11389788204847608, -0.0715158998571649, -0.08072337781555439, 0.08338988073994867, 0.31733635357289597, -0.19282790121288246, -0.30161329417112676, -0.015558169326453491, -0.26310702714756246, -0.030570613398067367, 0.026006835871838205, 0.0699102612663743, 0.054869170393083845, -0.003857794136008006, 0.048210538760225734, -0.14442507215492953, -0.20338603524306348, 0.3770710130485187, -0.09490063065264857, 0.2182561120316955, 0.07311352331969773, 0.049020058980197394, -0.0944553556432592, 0.049373253996889216, -0.01176147759387284, -0.12152787624487968, -0.02571613729028529, 0.21932609079410997, -0.008233719523142995, 0.14682520712718708, -0.41524998373032074, -0.2280128232311397, 0.1345325087655677, 0.10737664512721182, 0.16149234391201486, -0.08724862627884131, -0.2869918632840041, 0.09158098919473531, -0.2561068609072507, -0.143456103127336, -0.11729707862499333, -0.01474208910398555, -0.01704215870651182, -0.29486820174608636, 0.11367449086987705, -0.016259018882739406, -0.07284080481000302, -0.06269188070641334, -0.14214882492763167, -0.07271652525816938, -0.0076152156000487674, 0.026380676904138717, 0.10598459092452268, 0.1426635455724051, -0.2598946727741197, -0.016204226562995038, 0.4443888807711938, -0.10766070180853388, -0.12789397778430286, 0.1417390995566513, -0.155501235102282, -0.11227076078359863, 0.14937864715332977, 0.1675480588460128, 0.11610868190262352, -0.14745930864525433, 0.07510210777644445, -0.019107256349503197, 0.20669104196113455, 0.044742671664420315, 0.016917770874210213, 0.3102870757641797, 0.21124522496043271, 0.01874624281581349, 0.11109732861367573, -0.06938203195561406, -0.149999909849841, -0.35629789542961326, -0.12808773235994647, -0.185156169795353, -0.026510285780558945, -0.06815811017335335, -0.18729289032106522, 0.38237595554611836, 0.12003429287170124, 0.1790929420829843, -0.028525548269047993, 0.30453369147606363, 0.10943173796190873, 0.044406586888296004, 0.11869048627932335, 0.2945968348760414, 0.23926303922803005, 0.12726296588266625, -0.28424381612082905, -0.03615806663394657, 0.09577577583534458] |
711.112 | Electroexcitation of the Roper resonance from CLAS data | The helicity amplitudes of the electroexcitation of the Roper resonance on
proton are extracted at 1.7 < Q2 < 4.2 GeV2 from recent high precision
JLab-CLAS cross sections data and longitudinally polarized beam asymmetry for
pi+ electroproduction on protons. The analysis is made using two approaches,
dispersion relations and unitary isobar model, which give consistent results.
It is found that the transverse helicity amplitude for the gamma* p -->
P11(1440) transition, which is large and negative at Q2=0, becomes large and
positive at Q2 ~ 2 GeV2, and then drops slowly with Q2. Longitudinal helicity
amplitude, that was previously found from CLAS data as large and positive at
Q2=0.4,0.65 GeV2, drops with Q2. These results rule out the presentation of
P11(1440) as a 3qG hybrid state, and provide strong evidence in favor of this
resonance as a first radial excitation of the 3q ground state.
| nucl-th | the helicity amplitudes of the electroexcitation of the roper resonance on proton are extracted at 17 q2 42 gev2 from recent high precision jlabclas cross sections data and longitudinally polarized beam asymmetry for pi electroproduction on protons the analysis is made using two approaches dispersion relations and unitary isobar model which give consistent results it is found that the transverse helicity amplitude for the gamma p p111440 transition which is large and negative at q20 becomes large and positive at q2 2 gev2 and then drops slowly with q2 longitudinal helicity amplitude that was previously found from clas data as large and positive at q204065 gev2 drops with q2 these results rule out the presentation of p111440 as a 3qg hybrid state and provide strong evidence in favor of this resonance as a first radial excitation of the 3q ground state | [['the', 'helicity', 'amplitudes', 'of', 'the', 'electroexcitation', 'of', 'the', 'roper', 'resonance', 'on', 'proton', 'are', 'extracted', 'at', '17', 'q2', '42', 'gev2', 'from', 'recent', 'high', 'precision', 'jlabclas', 'cross', 'sections', 'data', 'and', 'longitudinally', 'polarized', 'beam', 'asymmetry', 'for', 'pi', 'electroproduction', 'on', 'protons', 'the', 'analysis', 'is', 'made', 'using', 'two', 'approaches', 'dispersion', 'relations', 'and', 'unitary', 'isobar', 'model', 'which', 'give', 'consistent', 'results', 'it', 'is', 'found', 'that', 'the', 'transverse', 'helicity', 'amplitude', 'for', 'the', 'gamma', 'p', 'p111440', 'transition', 'which', 'is', 'large', 'and', 'negative', 'at', 'q20', 'becomes', 'large', 'and', 'positive', 'at', 'q2', '2', 'gev2', 'and', 'then', 'drops', 'slowly', 'with', 'q2', 'longitudinal', 'helicity', 'amplitude', 'that', 'was', 'previously', 'found', 'from', 'clas', 'data', 'as', 'large', 'and', 'positive', 'at', 'q204065', 'gev2', 'drops', 'with', 'q2', 'these', 'results', 'rule', 'out', 'the', 'presentation', 'of', 'p111440', 'as', 'a', '3qg', 'hybrid', 'state', 'and', 'provide', 'strong', 'evidence', 'in', 'favor', 'of', 'this', 'resonance', 'as', 'a', 'first', 'radial', 'excitation', 'of', 'the', '3q', 'ground', 'state']] | [-0.08159982013915267, 0.2504102384871138, -0.08646872921381146, 0.0959724428741278, -0.03623988265836878, -0.11275053275873818, 0.06272115944552102, 0.3568831850242402, -0.14430800414245043, -0.26351767049969305, -0.03392635018182253, -0.33074578971468976, -0.008920148879821812, 0.18888858126675975, 0.1031822327291593, 0.0779481655726808, 0.08640371724863403, 0.03358610529290412, -0.02950883496253352, -0.1325686736082259, 0.3378599824649947, 0.03207923237932846, 0.27770756213659686, 0.1278940691113738, 0.09144164750053148, 0.038076164972569264, -0.008382126768784864, -0.05420066891903324, -0.13786712440435492, 0.018082877647663864, 0.28319127362587354, 0.04242907007153138, 0.11913492369931192, -0.32801175552553363, -0.08933570195388581, 0.017345200337669148, 0.1565438370852332, 0.10917463527293876, -0.001089719297098262, -0.2790322874406619, 0.07870212606420475, -0.1851117622007483, -0.14618604543751904, -0.1362321081504758, 0.06873138850538194, -0.036884940268854347, -0.32568936461050596, 0.12615115805196442, -0.004632692907138594, 0.09683166814169714, -0.04778912278707139, -0.2815967238142288, -0.051500233146362005, 0.043704104889184234, 0.11411800460440905, 0.16626973154322644, 0.11489177924314779, -0.14008299941363345, -0.09363272414609258, 0.299582945500567, -0.009201469841147107, -0.1456418525693672, 0.0766321613503221, -0.2750289183243045, -0.10141433748067356, 0.22730664412457763, 0.1841126907142877, 0.06870352950146688, -0.10208536122393395, 0.05935562596631436, -0.031521512015855735, 0.20842353334384306, 0.12854314535091232, -0.011549588252923319, 0.16301711923609088, 0.14013853448310068, -0.04879462951129036, 0.03455690601508, -0.1501510788653312, -0.047998189799753684, -0.3508970064643238, -0.06788594450668566, -0.097276257201364, 0.10571700723958202, -0.057210741134830254, -0.06360010222664901, 0.3148885045433417, 0.04141506634420823, 0.2754714073746332, 0.051757716690190136, 0.3288936580032376, 0.12776971902182724, 0.0889739546259599, 0.08421935243448908, 0.27989809782510355, 0.18953671596079533, 0.18815491794874625, -0.221556210620994, 0.012859331522901942, -0.03863733210933528] |
711.1121 | Massive QCD amplitudes at higher orders | We consider the factorization properties of on-shell QCD amplitudes with
massive partons in the limit when all kinematical invariants are large compared
to the parton mass and discuss the structure of their infrared singularities.
The dimensionally regulated soft poles and the large collinear logarithms of
the parton masses exponentiate to all orders. Based on this factorization a
simple relation between massless and massive scattering amplitudes in gauge
theories can be established. We present recent applications of this relation
for the calculation of the two-loop virtual QCD corrections to the
hadro-production of heavy quarks.
| hep-ph | we consider the factorization properties of onshell qcd amplitudes with massive partons in the limit when all kinematical invariants are large compared to the parton mass and discuss the structure of their infrared singularities the dimensionally regulated soft poles and the large collinear logarithms of the parton masses exponentiate to all orders based on this factorization a simple relation between massless and massive scattering amplitudes in gauge theories can be established we present recent applications of this relation for the calculation of the twoloop virtual qcd corrections to the hadroproduction of heavy quarks | [['we', 'consider', 'the', 'factorization', 'properties', 'of', 'onshell', 'qcd', 'amplitudes', 'with', 'massive', 'partons', 'in', 'the', 'limit', 'when', 'all', 'kinematical', 'invariants', 'are', 'large', 'compared', 'to', 'the', 'parton', 'mass', 'and', 'discuss', 'the', 'structure', 'of', 'their', 'infrared', 'singularities', 'the', 'dimensionally', 'regulated', 'soft', 'poles', 'and', 'the', 'large', 'collinear', 'logarithms', 'of', 'the', 'parton', 'masses', 'exponentiate', 'to', 'all', 'orders', 'based', 'on', 'this', 'factorization', 'a', 'simple', 'relation', 'between', 'massless', 'and', 'massive', 'scattering', 'amplitudes', 'in', 'gauge', 'theories', 'can', 'be', 'established', 'we', 'present', 'recent', 'applications', 'of', 'this', 'relation', 'for', 'the', 'calculation', 'of', 'the', 'twoloop', 'virtual', 'qcd', 'corrections', 'to', 'the', 'hadroproduction', 'of', 'heavy', 'quarks']] | [-0.13252336619001243, 0.2415359337483683, -0.12795894810309014, 0.16818004663562983, -0.055874941540100885, -0.0032229838462205984, 0.01586000650109703, 0.3519305898958156, -0.1712525770448709, -0.20848402934729732, 0.008273466259490833, -0.2955176104360851, -0.07502082131442524, 0.08795550666619292, 0.03452817163360055, 0.1054386992485673, 0.04866050968387274, -0.027094185417417878, -0.11598687674299443, -0.25003306618240734, 0.4046352441592883, -0.03121470391089397, 0.19789128377032217, 0.16453627561048795, 0.06923663543076605, 0.08732545111448534, -0.08171753208803874, -0.055307797006061, -0.07181342868434806, 0.1040665757121338, 0.23944094505721844, 0.0220342668634589, 0.07577094702696006, -0.3914256829352829, -0.12039461690101332, 0.05410120908611564, 0.18751954721407063, 0.10905163637011923, 0.01590456101938241, -0.22649193340812318, 0.09127102519375502, -0.24763820440538467, -0.19732908185155842, -0.13284836890256052, -0.05742663646026725, -0.05509498601238574, -0.2754944200478544, 0.0619731333322062, -0.06918134875795855, -0.01852982145764174, 0.028809851150639276, -0.16529689815336018, -0.045521890340555676, 0.07409711577084606, 0.15700501568930886, 0.054139374234583426, 0.10956284672682805, -0.26912601591057833, -0.1838564519840543, 0.42797399943654413, -0.010356349542596809, -0.15882121343966774, 0.18449168041678926, -0.21874375851644623, -0.18721669741345429, 0.14121582839257454, 0.188069884081982, 0.16036325376681101, -0.1989544343132268, 0.17796649362563946, 0.0018482758383196528, 0.11749367637219288, 0.11341311823156092, 0.10509118795274727, 0.22012830729926786, 0.12054309606181599, -0.08037572907864728, 0.09130634432433234, -0.03252556058077482, -0.11667932325633623, -0.3937003745907737, -0.09848001554247833, -0.07480904925864951, 0.07311680729961603, -0.1914907468488172, -0.19047501716282098, 0.32934889340552914, 0.13458926869075624, 0.2271531397371643, 0.09420670168374175, 0.36180185710871093, 0.1698146365903398, 0.1417932808374165, 0.0963752524519179, 0.27191874676293903, 0.2002522966058384, 0.06593306717132369, -0.2740721097716721, -0.08004917501677228, 0.15090443644552462] |
711.1122 | A Novel Design of Dielectric Perfect Invisibility Devices | The aim of an invisibility device is to guide light around any object put
inside, being able to hide objects from sight. In this work, we propose a novel
design of dielectric invisibility media based on negative refraction and
optical conformal mapping that seems to create perfect invisibility. This
design has some advantages and more relaxed constraints compared with already
proposed schemes. In particular, it represents an example where the time delay
in a dielectric invisibility device is zero. Furthermore, due to impedance
matching of negatively refracting materials, the reflection should be close to
zero. These findings strongly indicate that perfect invisibility with optically
isotropic materials is possible. Finally, the area of the invisible space is
also discussed.
| physics.optics physics.gen-ph | the aim of an invisibility device is to guide light around any object put inside being able to hide objects from sight in this work we propose a novel design of dielectric invisibility media based on negative refraction and optical conformal mapping that seems to create perfect invisibility this design has some advantages and more relaxed constraints compared with already proposed schemes in particular it represents an example where the time delay in a dielectric invisibility device is zero furthermore due to impedance matching of negatively refracting materials the reflection should be close to zero these findings strongly indicate that perfect invisibility with optically isotropic materials is possible finally the area of the invisible space is also discussed | [['the', 'aim', 'of', 'an', 'invisibility', 'device', 'is', 'to', 'guide', 'light', 'around', 'any', 'object', 'put', 'inside', 'being', 'able', 'to', 'hide', 'objects', 'from', 'sight', 'in', 'this', 'work', 'we', 'propose', 'a', 'novel', 'design', 'of', 'dielectric', 'invisibility', 'media', 'based', 'on', 'negative', 'refraction', 'and', 'optical', 'conformal', 'mapping', 'that', 'seems', 'to', 'create', 'perfect', 'invisibility', 'this', 'design', 'has', 'some', 'advantages', 'and', 'more', 'relaxed', 'constraints', 'compared', 'with', 'already', 'proposed', 'schemes', 'in', 'particular', 'it', 'represents', 'an', 'example', 'where', 'the', 'time', 'delay', 'in', 'a', 'dielectric', 'invisibility', 'device', 'is', 'zero', 'furthermore', 'due', 'to', 'impedance', 'matching', 'of', 'negatively', 'refracting', 'materials', 'the', 'reflection', 'should', 'be', 'close', 'to', 'zero', 'these', 'findings', 'strongly', 'indicate', 'that', 'perfect', 'invisibility', 'with', 'optically', 'isotropic', 'materials', 'is', 'possible', 'finally', 'the', 'area', 'of', 'the', 'invisible', 'space', 'is', 'also', 'discussed']] | [-0.12648986219093045, 0.07819345892802615, -0.07877769224913948, -0.029159180824921103, -0.17804107781483838, -0.20995540577342134, 0.026215008562588592, 0.4783195779043234, -0.21578549055808807, -0.27537684755841807, 0.08713897265963971, -0.2762487780902598, -0.1850521097993636, 0.19716156133592633, -0.11117196732824194, 0.06253998834931812, -0.031542678869731916, -0.0021312904496819285, -0.01686833175422103, -0.2295420428193411, 0.30917208700172477, 0.09560795215163696, 0.311491193226144, 0.08502774741461153, 0.07941471908628246, -0.007397480301116988, 0.0067758761396655275, 0.03650848040040543, -0.09170412625493463, 0.10257697987007135, 0.2784921057774859, 0.04186712974805525, 0.21870159801348285, -0.41538531954352886, -0.2281059511952986, 0.08593676296078552, 0.13385578384178975, 0.11742968797304873, -0.11490089192720608, -0.2693422217932293, 0.08906000428754142, -0.10851467188084656, -0.17445597859588846, -0.026968848575853695, 0.008944849345548931, -0.033390372150510515, -0.22063361520294922, -0.04198646818714856, 0.052510849373825524, -0.015402427343730579, -0.08478669594910185, -0.05467850362321646, 0.028962637617457973, 0.07006586530498403, 0.02063366470037628, 0.004229741466973545, 0.11768181429844413, -0.12420285066345044, -0.10357608335187375, 0.4399023049163743, -0.022692330172226244, -0.20287881190178253, 0.17587227552292584, -0.13723221279570233, -0.00677008987641183, 0.16850647693342072, 0.19084186076139242, 0.09288648881760063, -0.13653323001828108, 0.022931002574712353, -0.0796187673241563, 0.19609598331725603, 0.09485982022232424, 0.06666942648747462, 0.25455004841846934, 0.15758338139167496, 0.07460764043380395, 0.1669072990130112, -0.07341136479892342, 0.00864041755044975, -0.29034454043623126, -0.1813142050720625, -0.18938341551515572, 0.04603986408151055, -0.08940415763887143, -0.18439967213968067, 0.32776521931212965, 0.19777820027821552, 0.18658914291536657, -0.004496377597807639, 0.34078656365873955, 0.07939459338894714, 0.08571875722826285, 0.07093647533191084, 0.3055320831809402, 0.12828088409298935, 0.11993354214138303, -0.17956013633214504, 0.044731534727438654, -0.044368750259864254] |
711.1123 | Quarkonia Photoproduction at Nucleus Colliders | Exclusive photoproduction of heavy quarkonia in high-energy ultraperipheral
ion-ion interactions (gamma A --> V A, where V = J/Psi,Upsilon and the nucleus
A remains intact) offers a useful means to constrain the small-x nuclear gluon
density. We discuss preliminary results on J/Psi photoproduction in Au-Au
collisions at RHIC energies, as well as full simulation-reconstruction studies
of photo-produced Upsilon's in Pb-Pb interactions at the LHC.
| nucl-ex hep-ex nucl-th | exclusive photoproduction of heavy quarkonia in highenergy ultraperipheral ionion interactions gamma a v a where v jpsiupsilon and the nucleus a remains intact offers a useful means to constrain the smallx nuclear gluon density we discuss preliminary results on jpsi photoproduction in auau collisions at rhic energies as well as full simulationreconstruction studies of photoproduced upsilons in pbpb interactions at the lhc | [['exclusive', 'photoproduction', 'of', 'heavy', 'quarkonia', 'in', 'highenergy', 'ultraperipheral', 'ionion', 'interactions', 'gamma', 'a', 'v', 'a', 'where', 'v', 'jpsiupsilon', 'and', 'the', 'nucleus', 'a', 'remains', 'intact', 'offers', 'a', 'useful', 'means', 'to', 'constrain', 'the', 'smallx', 'nuclear', 'gluon', 'density', 'we', 'discuss', 'preliminary', 'results', 'on', 'jpsi', 'photoproduction', 'in', 'auau', 'collisions', 'at', 'rhic', 'energies', 'as', 'well', 'as', 'full', 'simulationreconstruction', 'studies', 'of', 'photoproduced', 'upsilons', 'in', 'pbpb', 'interactions', 'at', 'the', 'lhc']] | [-0.020386792912594515, 0.27764243421098983, -0.20676077092562603, 0.2011167036186232, 0.007620796507804609, -0.08740715613802437, -0.04259693755417085, 0.357898869780732, -0.16563067131019274, -0.12415680820580388, -0.17677456567056293, -0.40063485712362606, 0.15777422775148, 0.10731770495166544, 0.15275819181296668, 0.11522382109990863, 0.15222504812094276, 0.027412538088430635, -0.0026038033948814284, -0.15421127989033206, 0.2746652994251459, 0.11845273585593113, 0.15817785759257977, 0.3018775004379453, 0.010434401129967854, 0.1579172417261928, 0.0015342883616838543, -0.0564266280194775, -0.13571307615789233, 0.032243574004272975, 0.38478593012989787, 0.02606771487101424, 0.16161209795257594, -0.36107039900466065, -0.09624241907760257, 0.12502280900590731, 0.1754134749444049, 0.10506370083474723, -0.11079140842060146, -0.3008555562128542, 0.0952150693108885, -0.2946443091925295, -0.17361358989824038, -0.06205851781624751, 0.02941401831072862, 0.0024425184629002557, -0.36858739980236915, 0.0976276801150964, -0.11871511807386595, 0.06453090711481503, -0.027910648692460335, -0.26454608643916055, -0.06546194057865831, -0.034905769297334015, 0.07409809434358947, 0.17125930031761527, 0.2329505799170278, -0.23474845725500987, -0.1967246952336892, 0.44240092818976423, 0.03337395646166606, -0.06140345657152719, 0.1743111791791486, -0.28253561444580555, -0.22052231521849505, 0.13833534127467725, 0.31284217876916537, 0.08053819981754803, -0.22288819774985313, 0.10957633792403627, -0.03224362340778662, 0.14465889155475392, 0.12747391643094236, 0.12202930618382868, 0.13246121901835575, 0.2791293183662242, -0.09458900009068187, 0.051523128970999456, -0.09902011811901189, 0.0006267301600853928, -0.4678533593589654, -0.03951398597373704, -0.04750494829943923, 0.08699003880324423, -0.02685978700054741, 0.01898071408027508, 0.34206411235614637, 0.012719567078852752, 0.3399142991316306, -0.08353001112500053, 0.3327584616595604, 0.030148646943118484, -0.0042585213439630685, 0.12254659379603433, 0.3204297884443744, 0.21391381833274833, 0.2518483825165351, -0.2761754050743995, 0.052132948378070455, 0.022236009834517467] |
711.1124 | Melting of trapped few particle systems | In small confined systems predictions for the melting point strongly depend
on the choice of quantity and on the way it is computed, even yielding
divergent and ambiguous results. We present a very simple quantity which allows
to control these problems -- the variance of the block averaged interparticle
distance fluctuations.
| cond-mat.stat-mech | in small confined systems predictions for the melting point strongly depend on the choice of quantity and on the way it is computed even yielding divergent and ambiguous results we present a very simple quantity which allows to control these problems the variance of the block averaged interparticle distance fluctuations | [['in', 'small', 'confined', 'systems', 'predictions', 'for', 'the', 'melting', 'point', 'strongly', 'depend', 'on', 'the', 'choice', 'of', 'quantity', 'and', 'on', 'the', 'way', 'it', 'is', 'computed', 'even', 'yielding', 'divergent', 'and', 'ambiguous', 'results', 'we', 'present', 'a', 'very', 'simple', 'quantity', 'which', 'allows', 'to', 'control', 'these', 'problems', 'the', 'variance', 'of', 'the', 'block', 'averaged', 'interparticle', 'distance', 'fluctuations']] | [-0.1414683608710766, 0.14714988422580064, -0.12746228225529194, 0.07084104613633826, -0.022894204859621823, -0.14656812855042517, 0.06129512953804806, 0.3650761146098375, -0.27624744579195976, -0.2789821408689022, 0.08972024049377068, -0.2692637553208624, -0.1259018254186958, 0.22303423574194312, -0.04944192616268992, 0.06059130251407623, 0.07274513714015483, 0.040975364372134206, -0.05866858600871638, -0.2329694590717554, 0.29857303210534153, 0.07674395862035453, 0.2736149910930544, 0.0943679969664663, 0.10358444008976221, 0.014510855339467525, -0.0360070413723588, 0.07798860621638597, -0.15938873516395688, 0.1372289503319189, 0.20186251757666468, 0.0560191398859024, 0.21860302304849027, -0.37855091225355864, -0.17642885375767947, 0.09896786687895656, 0.14132274276111276, 0.12625857745064423, -0.008576613343320787, -0.21152173511683942, 0.021279027480632068, -0.10193150041624904, -0.1296646312996745, -0.10286539757624269, 0.033503895811736586, 0.01096150178462267, -0.2835495048947632, 0.14249210274778307, 0.023567715231329202, 0.03463424807414413, -0.04201236099121161, -0.11292581118643284, 0.03419863044284284, 0.1484665024559945, 0.051052183364517986, 0.02225847759284079, 0.20993896921165286, -0.12514327474054882, -0.025147398710250856, 0.39523252591490743, -0.04777304201386869, -0.23582457806915044, 0.21715327024459838, -0.13755817336961626, -0.09900294904597104, 0.13892951498739423, 0.163175853183493, 0.15275795569643377, -0.13273113435134293, 0.03809161491924897, -0.011429880865616724, 0.18742372915905434, 0.02435417516157031, 0.048159394767135384, 0.2185300739109516, 0.14350046328268945, 0.08129940180340782, 0.11483992271125316, -0.07115141241811215, -0.14979059919714927, -0.3122963242419064, -0.0803477406874299, -0.21746557356789709, 0.02986979313682241, -0.12766077068576123, -0.23755447912961244, 0.35233372000511737, 0.187513162009418, 0.2282827281858772, 0.07361197967780754, 0.23935485906898976, 0.13962302746251226, 0.06644935425370932, 0.05864382063038647, 0.23593614544719457, 0.10711160339415074, 0.07330446536652743, -0.23507062741555274, 0.10311228340491653, 0.045903677269816395] |
711.1125 | Effect of excluded volume interactions on the interfacial properties of
colloid-polymer mixtures | We report a numerical study of equilibrium phase-diagrams and interfacial
properties of bulk and confined colloid-polymer mixtures using grand canonical
Monte Carlo simulations. Colloidal particles are treated as hard spheres, while
the polymer chains are described as soft repulsive spheres. The
polymer-polymer, colloid-polymer, and wall-polymer interactions are described
by density-dependent potentials derived by Bolhuis and Louis [Macromolecules,
35 (2002), p.1860]. We compared our results with those of the
Asakura-Oosawa-Vrij model, that treats the polymers as ideal particles. We find
that the number of polymers needed to drive the demixing transition is larger
for the interacting polymers, and that the gas-liquid interfacial tension is
smaller. When the system is confined between two parallel hard plates, we find
capillary condensation. Compared with the AOV model, we find that the excluded
volume interactions between the polymers suppress capillary condensation. In
order to induce capillary condensation, smaller undersaturations and smaller
plate separations are needed in comparison with ideal polymers.
| cond-mat.soft cond-mat.stat-mech | we report a numerical study of equilibrium phasediagrams and interfacial properties of bulk and confined colloidpolymer mixtures using grand canonical monte carlo simulations colloidal particles are treated as hard spheres while the polymer chains are described as soft repulsive spheres the polymerpolymer colloidpolymer and wallpolymer interactions are described by densitydependent potentials derived by bolhuis and louis macromolecules 35 2002 p1860 we compared our results with those of the asakuraoosawavrij model that treats the polymers as ideal particles we find that the number of polymers needed to drive the demixing transition is larger for the interacting polymers and that the gasliquid interfacial tension is smaller when the system is confined between two parallel hard plates we find capillary condensation compared with the aov model we find that the excluded volume interactions between the polymers suppress capillary condensation in order to induce capillary condensation smaller undersaturations and smaller plate separations are needed in comparison with ideal polymers | [['we', 'report', 'a', 'numerical', 'study', 'of', 'equilibrium', 'phasediagrams', 'and', 'interfacial', 'properties', 'of', 'bulk', 'and', 'confined', 'colloidpolymer', 'mixtures', 'using', 'grand', 'canonical', 'monte', 'carlo', 'simulations', 'colloidal', 'particles', 'are', 'treated', 'as', 'hard', 'spheres', 'while', 'the', 'polymer', 'chains', 'are', 'described', 'as', 'soft', 'repulsive', 'spheres', 'the', 'polymerpolymer', 'colloidpolymer', 'and', 'wallpolymer', 'interactions', 'are', 'described', 'by', 'densitydependent', 'potentials', 'derived', 'by', 'bolhuis', 'and', 'louis', 'macromolecules', '35', '2002', 'p1860', 'we', 'compared', 'our', 'results', 'with', 'those', 'of', 'the', 'asakuraoosawavrij', 'model', 'that', 'treats', 'the', 'polymers', 'as', 'ideal', 'particles', 'we', 'find', 'that', 'the', 'number', 'of', 'polymers', 'needed', 'to', 'drive', 'the', 'demixing', 'transition', 'is', 'larger', 'for', 'the', 'interacting', 'polymers', 'and', 'that', 'the', 'gasliquid', 'interfacial', 'tension', 'is', 'smaller', 'when', 'the', 'system', 'is', 'confined', 'between', 'two', 'parallel', 'hard', 'plates', 'we', 'find', 'capillary', 'condensation', 'compared', 'with', 'the', 'aov', 'model', 'we', 'find', 'that', 'the', 'excluded', 'volume', 'interactions', 'between', 'the', 'polymers', 'suppress', 'capillary', 'condensation', 'in', 'order', 'to', 'induce', 'capillary', 'condensation', 'smaller', 'undersaturations', 'and', 'smaller', 'plate', 'separations', 'are', 'needed', 'in', 'comparison', 'with', 'ideal', 'polymers']] | [-0.11163747724799426, 0.2755680780469236, -0.04852609271075675, 0.05678610239618933, 0.03234111719968303, -0.1862068790911592, -0.02551331954224911, 0.394780860461344, -0.2099093913874706, -0.3059990844683142, 0.011683386853828236, -0.3143095566416221, -0.12513571154073325, 0.10664305888696124, 0.05419801078144683, 0.038031163933804096, 0.029894714015505173, -0.08335005017830097, -0.03910530649668333, -0.17813383404702096, 0.23557895712480442, 0.04310739572955579, 0.2213539695675602, 0.08829088744688902, 0.05459786096698796, 0.006763111402524253, 0.046333798232013425, 0.1020774565180702, -0.24678878793712639, 0.05415024416558198, 0.21276788141529093, -0.08409997181572168, 0.17089586577914803, -0.47097924831539195, -0.21773413181789095, 0.11760485384286387, 0.13711892827013075, 0.10617300445546969, -0.019354695904481883, -0.233697635460867, 0.019809677859900107, -0.1706768535139249, -0.11857317452201781, -0.07056412258376644, 0.008578866263789847, 0.10445757607878525, -0.22997946195945834, 0.138722178899754, 0.044810097504234474, 0.05998642793517338, -0.07718747356576561, -0.123370244231735, -0.0398636215369507, 0.07969593521325528, 0.0729572111810095, 0.0016529314491330394, 0.2419015900046867, -0.146824643969542, -0.04669112182339493, 0.436655826410217, -0.04613124941774823, -0.1880827878805383, 0.3041142866906667, -0.0979979776203731, -0.04053993017061163, 0.2096575387839894, 0.11726840610642122, 0.09241346367603995, -0.1291202289951057, 0.02145037235507498, -0.03280804152384598, 0.1909060524468193, 0.08020492907095429, -0.07778298647593189, 0.241529726836559, 0.2254590115599359, -0.02894488176244576, 0.2361786881386956, -0.08060516474386122, -0.18053555859881915, -0.24903958118736547, -0.1754939951989815, -0.2112111517209683, -0.009877494914208182, -0.1049497014330623, -0.19644051754464772, 0.22913137780015191, 0.11464766710102312, 0.16494856099443916, 0.0946508217587549, 0.23248505449409762, 0.012547873449357634, 0.04036870548217897, 0.020247118809686, 0.2978272031104525, 0.14917176750346722, 0.08616717525723927, -0.24326292048856024, 0.01971609136305552, 0.08664506635881516] |
711.1126 | Goldbach Conjecture and First-Order Arithmetic | Using the concepts of Hyperbolic Classification of Natural Numbers, Essential
Regions and Goldbach Conjecture Function we prove that the existence of a proof
of the Goldbach Conjecture in First-Order Arithmetic would imply the existence
of another proof in a certain extension that would not be valid in all states
of time associated to natural numbers created by means of adequate dynamic
processes.
| math.GM | using the concepts of hyperbolic classification of natural numbers essential regions and goldbach conjecture function we prove that the existence of a proof of the goldbach conjecture in firstorder arithmetic would imply the existence of another proof in a certain extension that would not be valid in all states of time associated to natural numbers created by means of adequate dynamic processes | [['using', 'the', 'concepts', 'of', 'hyperbolic', 'classification', 'of', 'natural', 'numbers', 'essential', 'regions', 'and', 'goldbach', 'conjecture', 'function', 'we', 'prove', 'that', 'the', 'existence', 'of', 'a', 'proof', 'of', 'the', 'goldbach', 'conjecture', 'in', 'firstorder', 'arithmetic', 'would', 'imply', 'the', 'existence', 'of', 'another', 'proof', 'in', 'a', 'certain', 'extension', 'that', 'would', 'not', 'be', 'valid', 'in', 'all', 'states', 'of', 'time', 'associated', 'to', 'natural', 'numbers', 'created', 'by', 'means', 'of', 'adequate', 'dynamic', 'processes']] | [-0.19555736616894137, 0.12906847225742474, -0.1529147620162656, 0.14904441022043746, -0.06477248353973752, -0.10082693769025707, 0.06327675376087427, 0.23759281172627403, -0.27903458391947134, -0.29244096387898727, 0.09730447988934635, -0.19502592542689415, -0.15572248456338722, 0.22913826575442667, -0.09761348648762871, 0.04874419619239146, 0.0592485862528725, 0.027668114015532118, -0.026072114698528763, -0.25171384999468444, 0.34068552059151475, -0.04480676941813961, 0.2056785085268559, 0.11406108274334861, 0.08757102822945002, 0.028546212992120172, -0.005829260646996479, 0.02744694480732564, -0.1005592946530669, 0.12855886152265744, 0.2962865542297462, 0.16547892934777925, 0.2966100465198378, -0.41655753605488327, -0.14775981238269578, 0.16775614379214182, 0.13423464391680975, 0.05585214630850861, -0.05930328623376666, -0.2522253874208658, 0.14631612411129377, -0.09970028689431568, -0.23288915283046663, -0.07532689344858931, 0.02623011583402272, 0.04934509167627942, -0.2588810695019821, 0.07170377629658868, 0.18219955477322783, 0.08120000078493068, -0.07524373724816306, -0.07628535020405487, -0.0024175418901347346, 0.07600647016924116, 0.02081382581062855, -0.024700001114979386, 0.036308930262983326, -0.11192758270208875, -0.1699980385526414, 0.3504605413745007, -0.04176867509170646, -0.18408336298119637, 0.17891080724075437, -0.15121181677433573, -0.20096119080159452, 0.13675571275093862, 0.10767439272134535, 0.1403830493349702, -0.04886672650313666, 0.07512056247627873, -0.14906404745734989, 0.16742482593643568, 0.16440043581890001, 0.04122753037259944, 0.20605718831892214, 0.08046540530819085, 0.057306996651835015, 0.15514432408869447, 0.023509142781368873, -0.08765372559578428, -0.34917486074470705, -0.2191679094046835, -0.1882215497523336, 0.09349947357799054, -0.07834904858511084, -0.21237471988124232, 0.3427422675078795, 0.13901802675137598, 0.16412340020648233, 0.10153744975104928, 0.21136133264630072, 0.10123073839631322, 0.06512225341171987, 0.013779206096284812, 0.15892400090853054, 0.16432958444009624, 0.012093540281057358, -0.1206218312915054, 0.09400192121674697, 0.1687635022756313] |
711.1127 | Hypercharge-Universal Topcolor | We propose and discuss the phenomenology of a Topcolor-assisted Technicolor
(TC2) model with a flavor-universal hypercharge sector. After discussing the
symmetry breaking pattern and low-energy effective Lagrangian, we examine
various experimental and theoretical constraints, finding that precision
electroweak measurements yield the strongest bounds on the model. We perform a
combined fit to all available $Z$-pole and LEP2 data and find that the goodness
of fit for hypercharge-universal topcolor is comparable to that of the Standard
Model. In contrast, TC2 models with a flavor non-universal hypercharge sectors
are markedly disfavored by the data.
| hep-ph | we propose and discuss the phenomenology of a topcolorassisted technicolor tc2 model with a flavoruniversal hypercharge sector after discussing the symmetry breaking pattern and lowenergy effective lagrangian we examine various experimental and theoretical constraints finding that precision electroweak measurements yield the strongest bounds on the model we perform a combined fit to all available zpole and lep2 data and find that the goodness of fit for hyperchargeuniversal topcolor is comparable to that of the standard model in contrast tc2 models with a flavor nonuniversal hypercharge sectors are markedly disfavored by the data | [['we', 'propose', 'and', 'discuss', 'the', 'phenomenology', 'of', 'a', 'topcolorassisted', 'technicolor', 'tc2', 'model', 'with', 'a', 'flavoruniversal', 'hypercharge', 'sector', 'after', 'discussing', 'the', 'symmetry', 'breaking', 'pattern', 'and', 'lowenergy', 'effective', 'lagrangian', 'we', 'examine', 'various', 'experimental', 'and', 'theoretical', 'constraints', 'finding', 'that', 'precision', 'electroweak', 'measurements', 'yield', 'the', 'strongest', 'bounds', 'on', 'the', 'model', 'we', 'perform', 'a', 'combined', 'fit', 'to', 'all', 'available', 'zpole', 'and', 'lep2', 'data', 'and', 'find', 'that', 'the', 'goodness', 'of', 'fit', 'for', 'hyperchargeuniversal', 'topcolor', 'is', 'comparable', 'to', 'that', 'of', 'the', 'standard', 'model', 'in', 'contrast', 'tc2', 'models', 'with', 'a', 'flavor', 'nonuniversal', 'hypercharge', 'sectors', 'are', 'markedly', 'disfavored', 'by', 'the', 'data']] | [-0.07261790474876761, 0.1867887614663322, -0.05923341007411971, 0.1738196760172966, -0.09843850545687499, -0.23926185642543074, 0.0900468694220123, 0.3199824906558126, -0.1744777632078954, -0.34796611204293076, 0.06200595165648917, -0.30278689403005027, -0.03798317777729788, 0.1177189421998644, 0.04181952975117243, 0.07034037932548877, 0.051849631510756826, -0.005971591425854917, -0.07112786848517647, -0.22573444398713635, 0.24816070870076726, 0.049217707508212916, 0.2670041219034529, 0.08417268680500706, 0.042631729058204934, -0.01329273663481677, -0.017898368940862653, -0.050576604452434476, -0.1698808732869041, 0.10705905981428389, 0.15370252412401816, 0.09937951039870853, 0.04997387442451257, -0.3809599965851713, -0.20934731898583717, 0.15170037847237436, 0.10889036709616719, 0.12149276686729965, -0.06073491427418008, -0.3035521529778674, 0.06987222862829055, -0.2118168726542985, -0.09285928309475491, -0.1409961778522152, -0.11381840688984964, -0.11697133806544346, -0.3615670164568595, 0.10331687568731678, -0.032684608352380795, 0.06855374079320457, -0.02719201419277342, -0.17892934222306525, -0.07906821076016218, -0.021745049670993628, 0.17235783571863528, 0.033921413333411074, 0.13707883952564182, -0.2417410962017519, -0.1800511599528593, 0.43070656360014453, -0.1560431057203479, -0.1122440143928423, 0.1653005400017559, -0.11988930115066879, -0.20858202259066505, 0.05562732727420363, 0.15223958879545496, 0.011771032552152954, -0.16072519163468055, 0.17326940136263147, -0.07717479852406861, 0.17900962504343346, -0.02741442591586447, 0.021782160363067966, 0.22447936161124443, 0.2191914222459053, 0.014150499729541959, 0.05331634138557282, -0.0710435659588816, -0.11256763103141726, -0.406691554237853, -0.04476637983756079, -0.039809371279501404, -0.03328881172238143, -0.10193904866333309, -0.06929440250758409, 0.4276291674596595, 0.21788076104616727, 0.28112579571021784, 0.11032534357426423, 0.28189102639597685, 0.05231074517423922, 0.09918402139465887, 0.019818460863022195, 0.31807655000874957, 0.08888048242398916, 0.06758814678107808, -0.22892416333383114, 0.00456981558946299, 0.02728292732601883] |
711.1128 | Inversion method for content-based networks | In this paper, we generalize a recently introduced Expectation Maximization
(EM) method for graphs and apply it to content-based networks. The EM method
provides a classification of the nodes of a graph, and allows to infer
relations between the different classes. Content-based networks are ideal
models for graphs displaying any kind of community or/and multipartite
structure. We show both numerically and analytically that the generalized EM
method is able to recover the process that led to the generation of such
networks. We also investigate the conditions under which our generalized EM
method can recover the underlying contents-based structure in the presence of
randomness in the connections. Two entropies, Sq and Sc, are defined to measure
the quality of the node classification and to what extent the connectivity of a
given network is content-based. Sq and Sc are also useful in determining the
number of classes for which the classification is optimal.
| physics.soc-ph cond-mat.dis-nn physics.comp-ph | in this paper we generalize a recently introduced expectation maximization em method for graphs and apply it to contentbased networks the em method provides a classification of the nodes of a graph and allows to infer relations between the different classes contentbased networks are ideal models for graphs displaying any kind of community orand multipartite structure we show both numerically and analytically that the generalized em method is able to recover the process that led to the generation of such networks we also investigate the conditions under which our generalized em method can recover the underlying contentsbased structure in the presence of randomness in the connections two entropies sq and sc are defined to measure the quality of the node classification and to what extent the connectivity of a given network is contentbased sq and sc are also useful in determining the number of classes for which the classification is optimal | [['in', 'this', 'paper', 'we', 'generalize', 'a', 'recently', 'introduced', 'expectation', 'maximization', 'em', 'method', 'for', 'graphs', 'and', 'apply', 'it', 'to', 'contentbased', 'networks', 'the', 'em', 'method', 'provides', 'a', 'classification', 'of', 'the', 'nodes', 'of', 'a', 'graph', 'and', 'allows', 'to', 'infer', 'relations', 'between', 'the', 'different', 'classes', 'contentbased', 'networks', 'are', 'ideal', 'models', 'for', 'graphs', 'displaying', 'any', 'kind', 'of', 'community', 'orand', 'multipartite', 'structure', 'we', 'show', 'both', 'numerically', 'and', 'analytically', 'that', 'the', 'generalized', 'em', 'method', 'is', 'able', 'to', 'recover', 'the', 'process', 'that', 'led', 'to', 'the', 'generation', 'of', 'such', 'networks', 'we', 'also', 'investigate', 'the', 'conditions', 'under', 'which', 'our', 'generalized', 'em', 'method', 'can', 'recover', 'the', 'underlying', 'contentsbased', 'structure', 'in', 'the', 'presence', 'of', 'randomness', 'in', 'the', 'connections', 'two', 'entropies', 'sq', 'and', 'sc', 'are', 'defined', 'to', 'measure', 'the', 'quality', 'of', 'the', 'node', 'classification', 'and', 'to', 'what', 'extent', 'the', 'connectivity', 'of', 'a', 'given', 'network', 'is', 'contentbased', 'sq', 'and', 'sc', 'are', 'also', 'useful', 'in', 'determining', 'the', 'number', 'of', 'classes', 'for', 'which', 'the', 'classification', 'is', 'optimal']] | [-0.11088825345039367, 0.027839683076987663, -0.06377543580407898, 0.09632162408637669, -0.08381793392356485, -0.1212728598403434, 0.047271468571852895, 0.39616075791418554, -0.28778784011878694, -0.31857592137220003, 0.07440369812150796, -0.24572721406594306, -0.2235039183186988, 0.1661624657176435, -0.0654651892154167, 0.04211184112665554, 0.04502873375407944, 0.07912493336014449, -0.053244925667531785, -0.27156232684326825, 0.3541181325369204, 0.04521623564107964, 0.3122909172872702, 0.05374971001365338, 0.09093076886609197, 0.008705080688620607, -0.03911098266641299, 0.08322774961513156, -0.13469433294968136, 0.15766658366036912, 0.25485278088708585, 0.18671483519797524, 0.252607041321074, -0.35621117644011974, -0.2284738339856267, 0.16368565771263094, 0.11066279305455586, 0.11453381365009895, 0.01793295587102572, -0.27673310607671736, 0.14231394444281856, -0.16152226086705923, -0.06235681869361239, -0.11148263158587118, -0.005219057233383258, 0.035128626194782554, -0.29982458405584717, 0.026697801326323923, 0.07321930694355008, -0.0034231907315552235, -0.03058229145167085, -0.059094038351128496, 0.009046022086404265, 0.162550160602356, -0.025292099525807618, 0.011533718273276462, 0.061551377155119553, -0.15201221727300435, -0.1468038603911797, 0.37582205692927045, -0.01107957687228918, -0.20381139565181608, 0.18176662986477216, -0.06634819260798394, -0.16355471825848023, 0.08675514589995145, 0.19056935396278277, 0.118784250083069, -0.16406979941219713, 0.03674561323986078, -0.07176674484585722, 0.12362818464636803, 0.04580309599948426, 0.04847180700550477, 0.14483679508790373, 0.1457904456742108, 0.07853593215035895, 0.1929933846121033, -0.10990115553761522, -0.06575114139355719, -0.22620391313607494, -0.16006109432627758, -0.20334131588693707, 0.000950426507430772, -0.11123721457493957, -0.17208882340540488, 0.4519069526468714, 0.19130802781321107, 0.1897266299650073, 0.07692093309791138, 0.2536330329828585, 0.06950188450903322, 0.05621760568348691, 0.1237254337904354, 0.20082885390768448, 0.14761617192377646, 0.07997025766099493, -0.18221418505534528, 0.09074914494063706, 0.08878474186485012] |
711.1129 | Characterization of graphene through anisotropy of constant-energy maps
in angle-resolved photoemission | We show theoretically how constant-energy maps of the angle-resolved
photoemission intensity can be used to test wave function symmetry in graphene.
For monolayer graphene, we demonstrate that the observed anisotropy of ARPES
spectra is a manifestation of what has been recently branded as electronic
chirality. For bilayer graphene, we show that the anisotropy of the
constant-energy maps may be used to extract information about the magnitude and
sign of interlayer coupling parameters and about symmetry breaking inflicted on
a bilayer by the underlying substrate.
| cond-mat.mes-hall | we show theoretically how constantenergy maps of the angleresolved photoemission intensity can be used to test wave function symmetry in graphene for monolayer graphene we demonstrate that the observed anisotropy of arpes spectra is a manifestation of what has been recently branded as electronic chirality for bilayer graphene we show that the anisotropy of the constantenergy maps may be used to extract information about the magnitude and sign of interlayer coupling parameters and about symmetry breaking inflicted on a bilayer by the underlying substrate | [['we', 'show', 'theoretically', 'how', 'constantenergy', 'maps', 'of', 'the', 'angleresolved', 'photoemission', 'intensity', 'can', 'be', 'used', 'to', 'test', 'wave', 'function', 'symmetry', 'in', 'graphene', 'for', 'monolayer', 'graphene', 'we', 'demonstrate', 'that', 'the', 'observed', 'anisotropy', 'of', 'arpes', 'spectra', 'is', 'a', 'manifestation', 'of', 'what', 'has', 'been', 'recently', 'branded', 'as', 'electronic', 'chirality', 'for', 'bilayer', 'graphene', 'we', 'show', 'that', 'the', 'anisotropy', 'of', 'the', 'constantenergy', 'maps', 'may', 'be', 'used', 'to', 'extract', 'information', 'about', 'the', 'magnitude', 'and', 'sign', 'of', 'interlayer', 'coupling', 'parameters', 'and', 'about', 'symmetry', 'breaking', 'inflicted', 'on', 'a', 'bilayer', 'by', 'the', 'underlying', 'substrate']] | [-0.1408273631906403, 0.1450026927105639, -0.09410967950576118, 0.057030173868129384, -0.07734227657229417, -0.10898226904239328, 0.03959566083670195, 0.46461093441272777, -0.3004119230789088, -0.3173264442455201, -0.002017025992418418, -0.3197522969428627, -0.21390779213868968, 0.18842520779608526, 0.0341544616413081, 0.07175806202437907, -0.024972257093482074, -0.08279032082784743, -0.0892010090770089, -0.18542873246562003, 0.29895670118830386, 0.04403814528736153, 0.3297918159292922, 0.15633383474778384, 0.06504316347473789, 0.007413097879006749, 0.1183683485280545, 0.024877069745257142, -0.17160765498608402, 0.06189000812758293, 0.22641862009740657, -0.06570804575624477, 0.16506641393616087, -0.45409270781757577, -0.22481800988316536, 0.007027895932662345, 0.15439754886375295, 0.1680562819487282, -0.061786216346912885, -0.30329986723760766, 0.06874254028384928, -0.10702082368966546, -0.09467026700509623, -0.125375003941978, -0.025760836832757508, -0.03252223410111453, -0.21596833260818607, 0.08842151058793422, -0.006518932669201777, 0.09954134493489705, -0.0769375404758778, -0.07695655410532795, -0.17172680633319987, 0.07166796049568802, 0.08755980330863081, 0.04186196244249697, 0.17044206712827353, -0.10063811801263087, -0.13724866348119186, 0.38642352016731385, -0.0691901708570575, -0.15075488202273846, 0.09117376261080305, -0.1925211169540749, -0.09309160170267292, 0.08797019629162692, 0.11713348926665883, 0.06193454711215703, -0.11469377935420544, 0.058014637778147256, -0.07756015294701986, 0.23282976659746574, 0.11401852239145055, 0.08628644601308874, 0.23048596033116892, 0.1650961987408144, 0.05379815355298065, 0.1440582317272423, -0.14610170200189931, 0.035698005120225605, -0.1771420971379571, -0.15948137481297767, -0.24745129523632517, 0.11146422478261575, -0.04719604132662339, -0.1437703989047025, 0.46214384483616977, 0.18963386065332175, 0.2137405701547063, -0.0675608796937879, 0.23828048024526133, 0.12290404317761949, 0.11811856024100312, -0.03306787632339235, 0.2866772125763375, 0.13827290477430715, 0.07649159239095059, -0.25600987941669745, 0.1146561690617264, -0.01238350347904045] |
711.113 | Random walks in a random environment on a strip: a renormalization group
approach | We present a real space renormalization group scheme for the problem of
random walks in a random environment on a strip, which includes one-dimensional
random walk in random environment with bounded non-nearest-neighbor jumps. We
show that the model renormalizes to an effective one-dimensional random walk
problem with nearest-neighbor jumps and conclude that Sinai scaling is valid in
the recurrent case, while in the sub-linear transient phase, the displacement
grows as a power of the time.
| cond-mat.dis-nn cond-mat.stat-mech | we present a real space renormalization group scheme for the problem of random walks in a random environment on a strip which includes onedimensional random walk in random environment with bounded nonnearestneighbor jumps we show that the model renormalizes to an effective onedimensional random walk problem with nearestneighbor jumps and conclude that sinai scaling is valid in the recurrent case while in the sublinear transient phase the displacement grows as a power of the time | [['we', 'present', 'a', 'real', 'space', 'renormalization', 'group', 'scheme', 'for', 'the', 'problem', 'of', 'random', 'walks', 'in', 'a', 'random', 'environment', 'on', 'a', 'strip', 'which', 'includes', 'onedimensional', 'random', 'walk', 'in', 'random', 'environment', 'with', 'bounded', 'nonnearestneighbor', 'jumps', 'we', 'show', 'that', 'the', 'model', 'renormalizes', 'to', 'an', 'effective', 'onedimensional', 'random', 'walk', 'problem', 'with', 'nearestneighbor', 'jumps', 'and', 'conclude', 'that', 'sinai', 'scaling', 'is', 'valid', 'in', 'the', 'recurrent', 'case', 'while', 'in', 'the', 'sublinear', 'transient', 'phase', 'the', 'displacement', 'grows', 'as', 'a', 'power', 'of', 'the', 'time']] | [-0.15774210438132286, 0.22084779185107134, -0.05022101938724518, 0.014871026009010772, -0.032153939232230186, -0.17939420367280642, 0.08377860656318566, 0.42001789815723894, -0.28725346639752386, -0.15868949242246647, 0.09587339992945393, -0.2919371065373222, -0.1812036143988371, 0.1639992939090977, -0.044828206996123, 0.08265450494363905, 0.01756799592326085, 0.04559058059006929, -0.0195731055829674, -0.2632265096033613, 0.2588872562348843, -0.004605843874936302, 0.2512055311972896, -0.00840679783374071, 0.12267384508624674, 0.08351568343117834, -0.004157040792827805, 0.04756062131957151, -0.06649479581761018, 0.005763160698115825, 0.13352360468202581, -0.03587194055629273, 0.3039261722067992, -0.40640982093910377, -0.2505038281157613, 0.13524480460211635, 0.1596482230350375, 0.13070342302477608, -0.05190073623787612, -0.30950988250163697, 0.03794901804377635, -0.1406042959044377, -0.1602106650546193, 0.0021269253206749757, 0.052156838104128835, 0.05536026783209915, -0.3014387834941347, 0.09515223126664447, 0.08856639313201109, 0.018181384121999145, 0.0014345218737920125, -0.028305512877802055, 0.03752388246978323, 0.11401646298045913, -0.021169609058027467, 0.04859902595480283, 0.13496836378549537, -0.0837443425009648, -0.1475000939021508, 0.38190697580575944, -0.12082285401721796, -0.2233337572713693, 0.16046219968547423, -0.1800669732814034, -0.15935725961811842, 0.09871057954927286, 0.20373243829545876, 0.0905372978001833, -0.13507533428569635, 0.15602345863279576, -0.07943222381174564, 0.125530743492612, -0.0360352257018288, -0.012198501937091351, 0.10558029476553202, 0.1718353527163466, 0.15167172701408466, 0.20090549811099967, -0.059816934218009314, -0.18681993149220943, -0.30350360333609083, -0.1266142808397611, -0.27532305227592585, 0.07348060504843791, -0.1880753265195138, -0.27112166286135714, 0.38794592316432197, 0.16371079750359058, 0.25247962087392806, 0.16687667819516114, 0.2278307385991017, 0.14744562120952953, -0.0237746786698699, 0.12075906983887155, 0.10337039693569143, 0.12564050691823164, 0.11955748062891265, -0.2047729954185585, 0.07403312804798286, 0.10796945348440204] |
711.1131 | Chemical doping-induced gap opening and spin polarization in graphene | By using first principles calculations we report a chemical doping induced
gap in graphene. The structural and electronic properties of CrO$_3$
interacting with graphene layer are calculated using ab initio methods based on
the density functional theory. The CrO$_3$ acts as an electron acceptor
modifying the original electronic and magnetic properties of the graphene
surface through a chemical adsorption. The changes induced in the electronic
properties are strongly dependent of the CrO$_3$ adsorption site and for some
sites it is possible to open a gap in the electronic band structure. Spin
polarization effects are also predicted for some adsorption configurations.
| cond-mat.mtrl-sci | by using first principles calculations we report a chemical doping induced gap in graphene the structural and electronic properties of cro_3 interacting with graphene layer are calculated using ab initio methods based on the density functional theory the cro_3 acts as an electron acceptor modifying the original electronic and magnetic properties of the graphene surface through a chemical adsorption the changes induced in the electronic properties are strongly dependent of the cro_3 adsorption site and for some sites it is possible to open a gap in the electronic band structure spin polarization effects are also predicted for some adsorption configurations | [['by', 'using', 'first', 'principles', 'calculations', 'we', 'report', 'a', 'chemical', 'doping', 'induced', 'gap', 'in', 'graphene', 'the', 'structural', 'and', 'electronic', 'properties', 'of', 'cro_3', 'interacting', 'with', 'graphene', 'layer', 'are', 'calculated', 'using', 'ab', 'initio', 'methods', 'based', 'on', 'the', 'density', 'functional', 'theory', 'the', 'cro_3', 'acts', 'as', 'an', 'electron', 'acceptor', 'modifying', 'the', 'original', 'electronic', 'and', 'magnetic', 'properties', 'of', 'the', 'graphene', 'surface', 'through', 'a', 'chemical', 'adsorption', 'the', 'changes', 'induced', 'in', 'the', 'electronic', 'properties', 'are', 'strongly', 'dependent', 'of', 'the', 'cro_3', 'adsorption', 'site', 'and', 'for', 'some', 'sites', 'it', 'is', 'possible', 'to', 'open', 'a', 'gap', 'in', 'the', 'electronic', 'band', 'structure', 'spin', 'polarization', 'effects', 'are', 'also', 'predicted', 'for', 'some', 'adsorption', 'configurations']] | [-0.12273915942292661, 0.15759767919909792, -0.053747121205087754, 0.02684775462024845, -0.0043004295416176315, -0.09500560330692678, 0.11858751766034402, 0.45658043595030906, -0.29761572477407755, -0.29761906230822205, -0.019574747098376973, -0.33145326029509303, -0.19348619389813393, 0.14299728422192856, 0.10024774552322924, 0.01914285846054554, 0.011212277496233582, -0.05436636945232749, -0.12796300411282574, -0.1843362644710578, 0.30275228421669453, 0.09113036735448986, 0.26521118069067595, 0.16121157271787523, 0.00174486780539155, 0.018467845395207405, 0.08790910137351603, 0.048582260035909715, -0.17479463363066317, 0.13648696551150352, 0.21202628789003938, -0.09386286250781267, 0.19778495298931376, -0.5236297496967017, -0.22664796073222532, -0.05983747857622802, 0.040375221655704084, 0.17249291142448783, -0.10407679422409273, -0.24876222113147378, 0.03771877774037421, -0.10148172356188297, -0.1084875568235293, -0.07462851450312882, -0.009856286365538836, 0.06743069124408066, -0.20207211322907825, 0.07582013839593855, -0.021879437030293047, 0.08864945123139478, -0.15752216818276793, -0.16676465403288604, -0.14885401902720333, 0.08843119967204985, 0.008896033389028161, 0.019150220900774003, 0.2779901175620034, -0.09684243768220767, -0.10689336855662987, 0.4083293325826526, -0.0628958897665143, -0.14656577945686877, 0.1719106228533201, -0.129580768099986, -0.12892904099542649, 0.12178709970321507, 0.05550638170912862, 0.1067454101331532, -0.16819647233060095, 0.13174659353273455, 0.02518314014538191, 0.1727668900776189, 0.04774518865626305, 0.10026920726057142, 0.21188087834510952, 0.22077063935052138, 0.0422144384495914, 0.11239694872871041, -0.12012326604686678, -0.0327447336219484, -0.18456983383744954, -0.1789269132260233, -0.23554246133891865, 0.06934633326251059, -0.044264249056141125, -0.2404226385988295, 0.44900136038661004, 0.09866580097936094, 0.13917038830928505, -0.10592403875896707, 0.2021685333212372, 0.09502885087276809, 0.03416360220115166, 0.030638738106936216, 0.2120046911883401, 0.18406339303357527, 0.04048723101615906, -0.2911919955292251, 0.11120141201186926, 0.02564944473328069] |
711.1132 | Local Geometric Langlands Correspondence: the Spherical Case | A module over an affine Kac--Moody algebra g^ is called spherical if the
action of the Lie subalgebra g[[t]] on it integrates to an algebraic action of
the corresponding group G[[t]]. Consider the category of spherical g^-modules
of critical level. In this paper we prove that this category is equivalent to
the category of quasi-coherent sheaves on the ind-scheme of opers on the
punctured disc which are unramified as local systems. This result is a
categorical version of the well-known description of spherical vectors in
representations of groups over local non-archimedian fields. It may be viewed
as a special case of the local geometric Langlands correspondence proposed in
arXiv:math/0508382.
| math.QA math.AG math.RT | a module over an affine kacmoody algebra g is called spherical if the action of the lie subalgebra gt on it integrates to an algebraic action of the corresponding group gt consider the category of spherical gmodules of critical level in this paper we prove that this category is equivalent to the category of quasicoherent sheaves on the indscheme of opers on the punctured disc which are unramified as local systems this result is a categorical version of the wellknown description of spherical vectors in representations of groups over local nonarchimedian fields it may be viewed as a special case of the local geometric langlands correspondence proposed in arxivmath0508382 | [['a', 'module', 'over', 'an', 'affine', 'kacmoody', 'algebra', 'g', 'is', 'called', 'spherical', 'if', 'the', 'action', 'of', 'the', 'lie', 'subalgebra', 'gt', 'on', 'it', 'integrates', 'to', 'an', 'algebraic', 'action', 'of', 'the', 'corresponding', 'group', 'gt', 'consider', 'the', 'category', 'of', 'spherical', 'gmodules', 'of', 'critical', 'level', 'in', 'this', 'paper', 'we', 'prove', 'that', 'this', 'category', 'is', 'equivalent', 'to', 'the', 'category', 'of', 'quasicoherent', 'sheaves', 'on', 'the', 'indscheme', 'of', 'opers', 'on', 'the', 'punctured', 'disc', 'which', 'are', 'unramified', 'as', 'local', 'systems', 'this', 'result', 'is', 'a', 'categorical', 'version', 'of', 'the', 'wellknown', 'description', 'of', 'spherical', 'vectors', 'in', 'representations', 'of', 'groups', 'over', 'local', 'nonarchimedian', 'fields', 'it', 'may', 'be', 'viewed', 'as', 'a', 'special', 'case', 'of', 'the', 'local', 'geometric', 'langlands', 'correspondence', 'proposed', 'in', 'arxivmath0508382']] | [-0.17955247688730921, 0.003251869826622461, -0.12516430738048817, 0.051501094720352, -0.10359818764765738, -0.09471989176161331, -0.058630531512781844, 0.3357831669304896, -0.36875171328407774, -0.16885660316607137, 0.09975543326095875, -0.16333744740644962, -0.1532942563244099, 0.20077770757018973, -0.20725583558242103, -0.09332142114092451, 0.021753608180773914, 0.17338968567558727, -0.0889327882109808, -0.2791757014165675, 0.43457251082285553, 0.003792866316320665, 0.2609247127932351, -0.017321168021042617, 0.12928211972877862, 0.041564242830745654, 0.037396893392257186, -0.021314489108365062, -0.09754229596221377, 0.12980679088430222, 0.33677691393830905, 0.06674071747185918, 0.21224598883151358, -0.37302688097393294, -0.13119293147604058, 0.18622879519494712, 0.1270391042344272, 0.04087667956568061, 0.01392918020815785, -0.31071714181752036, 0.1025581869207015, -0.22882763068020823, -0.10087121146466207, -0.03109309121265734, 0.057461437782050546, -0.015824175928932947, -0.23703807945910055, -0.006204916078836546, 0.09152117051256803, 0.14993133751350804, -0.1290525971963113, -0.060776305781173254, -0.07465765641472481, 0.07866111916806036, -0.03219978715861302, 0.08653041144641792, 0.16700006406668813, -0.11981332794455556, -0.09351902546514886, 0.4044042367385615, -0.04210373071458088, -0.2145679647833485, 0.13531563128558322, -0.14612195398466268, -0.1603724995089712, 0.09421783551219168, 0.0996309163031775, 0.1556472082818867, -0.014789920676192012, 0.20553900770535435, -0.20400285256018333, 0.05268247379310463, 0.04887981813640223, -0.0027299780492593935, 0.16498236153958315, 0.1108075107657137, 0.07108557690575787, 0.13775136279382255, 0.008233065232036447, -0.03634832980999843, -0.3975329587456061, -0.19612901479672265, -0.10810893137059217, 0.11137972658482986, -0.09293962447314498, -0.18772312902462018, 0.43811979496834474, 0.08670501919023248, 0.1851355865076526, 0.13838058873827339, 0.21190759267897233, 0.07246738669479591, 0.10719263724931473, 0.04117200314708122, 0.1443554180959419, 0.24085326761075662, -0.07362268393252626, -0.1176271762211867, -0.041946119833908495, 0.23980341736363983] |
711.1133 | Decelerating microdynamics can accelerate macrodynamics in the voter
model | For the voter model, we study the effect of a memory-dependent transition
rate. We assume that the transition of a spin into the opposite state decreases
with the time it has been in its current state. Counter-intuitively, we find
that the time to reach a macroscopically ordered state can be accelerated by
slowing-down the microscopic dynamics in this way. This holds for different
network topologies, including fully-connected ones. We find that the ordering
dynamics is governed by two competing processes which either stabilize the
majority or the minority state. If the first one dominates, it accelerates the
ordering of the system. The conclusions of this Letter are not restricted to
the voter model, but remain valid to many other spin systems as well.
| cond-mat.dis-nn physics.soc-ph | for the voter model we study the effect of a memorydependent transition rate we assume that the transition of a spin into the opposite state decreases with the time it has been in its current state counterintuitively we find that the time to reach a macroscopically ordered state can be accelerated by slowingdown the microscopic dynamics in this way this holds for different network topologies including fullyconnected ones we find that the ordering dynamics is governed by two competing processes which either stabilize the majority or the minority state if the first one dominates it accelerates the ordering of the system the conclusions of this letter are not restricted to the voter model but remain valid to many other spin systems as well | [['for', 'the', 'voter', 'model', 'we', 'study', 'the', 'effect', 'of', 'a', 'memorydependent', 'transition', 'rate', 'we', 'assume', 'that', 'the', 'transition', 'of', 'a', 'spin', 'into', 'the', 'opposite', 'state', 'decreases', 'with', 'the', 'time', 'it', 'has', 'been', 'in', 'its', 'current', 'state', 'counterintuitively', 'we', 'find', 'that', 'the', 'time', 'to', 'reach', 'a', 'macroscopically', 'ordered', 'state', 'can', 'be', 'accelerated', 'by', 'slowingdown', 'the', 'microscopic', 'dynamics', 'in', 'this', 'way', 'this', 'holds', 'for', 'different', 'network', 'topologies', 'including', 'fullyconnected', 'ones', 'we', 'find', 'that', 'the', 'ordering', 'dynamics', 'is', 'governed', 'by', 'two', 'competing', 'processes', 'which', 'either', 'stabilize', 'the', 'majority', 'or', 'the', 'minority', 'state', 'if', 'the', 'first', 'one', 'dominates', 'it', 'accelerates', 'the', 'ordering', 'of', 'the', 'system', 'the', 'conclusions', 'of', 'this', 'letter', 'are', 'not', 'restricted', 'to', 'the', 'voter', 'model', 'but', 'remain', 'valid', 'to', 'many', 'other', 'spin', 'systems', 'as', 'well']] | [-0.14158319293263905, 0.20391447920109926, -0.0613631360929429, 0.040595586538481394, -0.029301677595793715, -0.1346648042601329, 0.060167228874970016, 0.37904923896842857, -0.30735748800320356, -0.2594640515971838, 0.08781783059201528, -0.2754401102987671, -0.11660893955949421, 0.1263767579225899, 0.04456590428736394, -0.01620130930938266, 0.029877992589178125, 0.06211347013855792, -0.038978390265029014, -0.24329061939559, 0.3182911863361251, 0.01429872009221737, 0.2905632905544698, 0.01752411584347123, 0.09812608614518512, -0.003778227650829235, 0.09159704958792866, 0.04622705241502452, -0.0847456478617297, 0.02309372980096491, 0.20825653135534225, 0.0884532592187416, 0.2646819473494117, -0.4393907327023221, -0.23808140666943375, 0.12979379905069746, 0.13691939653192714, 0.1787492918954193, -0.0271303092841271, -0.2593967075558092, 0.0685848988274612, -0.20056491919861333, -0.11143692747152191, -0.06543227746548903, -0.005409447438409173, 0.005406492166372576, -0.23554088362697057, 0.11227087194963199, 0.14291366789872356, -0.03491390078532987, -0.07449322486413658, -0.09215136894831298, -0.043929836040786735, 0.14865612988435944, 0.056550911131761666, 0.04002254262634712, 0.12199893701685274, -0.155569149397041, -0.1323825621568575, 0.3753714053550871, -0.045240025673955075, -0.181960179335963, 0.21498148909550371, -0.18845716982746755, -0.11599138714903133, 0.11784188352275367, 0.13281244541848708, 0.12970299124566279, -0.12417157419873931, 0.036685422184021495, -0.04000982401392809, 0.1637556505185075, -0.017470061843381908, 0.021043867641317892, 0.2119195310638392, 0.1978452710758486, 0.07692931070725047, 0.14561577504680576, -0.07282276058614981, -0.18741756662484108, -0.24377636301777955, -0.1445378915584699, -0.1833643621378919, 0.04642871072209664, -0.01887584931966735, -0.14397835638279444, 0.4019579411847744, 0.1992418149266604, 0.23009046642450479, 0.042086039971734386, 0.25471665947489835, 0.12204199249390513, 0.05159823917897373, 0.07793871033558153, 0.2799607681578292, 0.06847735147211488, 0.0912902691378826, -0.2394775315755751, 0.15893277178454115, 0.003788160076894896] |
711.1134 | Landweber exact formal group laws and smooth cohomology theories | The main aim of this paper is the construction of a smooth (sometimes called
differential) extension \hat{MU} of the cohomology theory complex cobordism MU,
using cycles for \hat{MU}(M) which are essentially proper maps W\to M with a
fixed U(n)-structure and U(n)-connection on the (stable) normal bundle of W\to
M. Crucial is that this model allows the construction of a product structure
and of pushdown maps for this smooth extension of MU, which have all the
expected properties. Moreover, we show, using the Landweber exact functor
principle, that \hat{R}(M):=\hat{MU}(M)\otimes_{MU^*}R defines a multiplicative
smooth extension of R(M):=MU(M)\otimes_{MU^*}R whenever R is a Landweber exact
MU*-module. An example for this construction is a new way to define a
multiplicative smooth K-theory.
| math.KT math.AT math.GT | the main aim of this paper is the construction of a smooth sometimes called differential extension hatmu of the cohomology theory complex cobordism mu using cycles for hatmum which are essentially proper maps wto m with a fixed unstructure and unconnection on the stable normal bundle of wto m crucial is that this model allows the construction of a product structure and of pushdown maps for this smooth extension of mu which have all the expected properties moreover we show using the landweber exact functor principle that hatrmhatmumotimes_mur defines a multiplicative smooth extension of rmmumotimes_mur whenever r is a landweber exact mumodule an example for this construction is a new way to define a multiplicative smooth ktheory | [['the', 'main', 'aim', 'of', 'this', 'paper', 'is', 'the', 'construction', 'of', 'a', 'smooth', 'sometimes', 'called', 'differential', 'extension', 'hatmu', 'of', 'the', 'cohomology', 'theory', 'complex', 'cobordism', 'mu', 'using', 'cycles', 'for', 'hatmum', 'which', 'are', 'essentially', 'proper', 'maps', 'wto', 'm', 'with', 'a', 'fixed', 'unstructure', 'and', 'unconnection', 'on', 'the', 'stable', 'normal', 'bundle', 'of', 'wto', 'm', 'crucial', 'is', 'that', 'this', 'model', 'allows', 'the', 'construction', 'of', 'a', 'product', 'structure', 'and', 'of', 'pushdown', 'maps', 'for', 'this', 'smooth', 'extension', 'of', 'mu', 'which', 'have', 'all', 'the', 'expected', 'properties', 'moreover', 'we', 'show', 'using', 'the', 'landweber', 'exact', 'functor', 'principle', 'that', 'hatrmhatmumotimes_mur', 'defines', 'a', 'multiplicative', 'smooth', 'extension', 'of', 'rmmumotimes_mur', 'whenever', 'r', 'is', 'a', 'landweber', 'exact', 'mumodule', 'an', 'example', 'for', 'this', 'construction', 'is', 'a', 'new', 'way', 'to', 'define', 'a', 'multiplicative', 'smooth', 'ktheory']] | [-0.1641578536589739, 0.045370508821367554, -0.132514082684039, 0.07056571466026006, -0.0882079606468848, -0.12442230136628758, 0.012624476914638066, 0.32242104500901325, -0.33121984227149337, -0.20683716639859584, 0.09466066972881153, -0.1868562100043254, -0.19829442427569144, 0.1888130486833754, -0.12360045465070184, -0.006360550511729073, 0.04138280976530131, 0.06592724797827704, -0.07478516993977062, -0.19981654381971, 0.3950735199315524, 0.01428242296248943, 0.21153343134970815, 0.009696242032438383, 0.1395830938105916, 0.003045688429427845, -0.04634945042565599, 0.0024414179460690902, -0.15193238881322751, 0.14925309685100843, 0.26370922344745146, 0.08976014371676085, 0.23316358673587642, -0.309841664061202, -0.13037793059872152, 0.18236617398708388, 0.08759834500331734, 0.03596856194833579, -0.014049045092359118, -0.23974622950494826, 0.16691675514553314, -0.17961533216608538, -0.13245194625142995, -0.0843157064387793, 0.06781099448064426, 0.007501399337507046, -0.3076408204217735, -0.04111682911411867, 0.1234285129183853, 0.07500575340210318, -0.05316656639512108, -0.0571573577770913, -0.04143576850057454, 0.08064127637509692, -0.0242408181525985, 0.08704682361116414, 0.08850808380887978, -0.06390733937397264, -0.10638052882911923, 0.36879873480479997, -0.12104913896906215, -0.22807078376445952, 0.14984704376206742, -0.09796282901588055, -0.17020683127732292, 0.14733421739174035, 0.06510367992896217, 0.17482222025995856, -0.09864154023481198, 0.20869870758972023, -0.11645493891325083, 0.12193886193799207, 0.062609149063392, -0.025667279950334684, 0.12420182733855269, 0.14134901637832323, 0.13103825497222846, 0.12714451880336883, -0.019268353698305315, -0.06068907270778541, -0.3801235170313367, -0.21829360534373024, -0.11412237214264334, 0.1462434053374874, -0.08439363488011893, -0.20448035743456702, 0.4083330986081614, 0.07151496058816577, 0.22389211873565842, 0.15429501889298694, 0.30772040044964366, 0.1023359484634958, 0.02893577867632245, 0.036472918088170325, 0.11775931906215176, 0.17810101502340053, 0.015311556161372914, -0.14125905205235556, 0.004963268282579946, 0.15939809005447403] |
711.1135 | The rank of a quiver representation | We define a functor which gives the "global rank of a quiver representation"
and prove that it has nice properties which make it a generalization of the
rank of a linear map. We demonstrate how to construct other "rank functors" for
a quiver Q, which induce ring homomorphisms (called "rank functions") from the
representation ring of Q to Z. These rank functions give discrete numerical
invariants of quiver representations, useful for computing tensor product
multiplicities of representations and determining some structure of the
representation ring. We also show that in characteristic 0, rank functors
commute with the Schur operations on quiver representations, and the
homomorphisms induced by rank functors are lambda-ring homomorphisms.
| math.RT math.RA | we define a functor which gives the global rank of a quiver representation and prove that it has nice properties which make it a generalization of the rank of a linear map we demonstrate how to construct other rank functors for a quiver q which induce ring homomorphisms called rank functions from the representation ring of q to z these rank functions give discrete numerical invariants of quiver representations useful for computing tensor product multiplicities of representations and determining some structure of the representation ring we also show that in characteristic 0 rank functors commute with the schur operations on quiver representations and the homomorphisms induced by rank functors are lambdaring homomorphisms | [['we', 'define', 'a', 'functor', 'which', 'gives', 'the', 'global', 'rank', 'of', 'a', 'quiver', 'representation', 'and', 'prove', 'that', 'it', 'has', 'nice', 'properties', 'which', 'make', 'it', 'a', 'generalization', 'of', 'the', 'rank', 'of', 'a', 'linear', 'map', 'we', 'demonstrate', 'how', 'to', 'construct', 'other', 'rank', 'functors', 'for', 'a', 'quiver', 'q', 'which', 'induce', 'ring', 'homomorphisms', 'called', 'rank', 'functions', 'from', 'the', 'representation', 'ring', 'of', 'q', 'to', 'z', 'these', 'rank', 'functions', 'give', 'discrete', 'numerical', 'invariants', 'of', 'quiver', 'representations', 'useful', 'for', 'computing', 'tensor', 'product', 'multiplicities', 'of', 'representations', 'and', 'determining', 'some', 'structure', 'of', 'the', 'representation', 'ring', 'we', 'also', 'show', 'that', 'in', 'characteristic', '0', 'rank', 'functors', 'commute', 'with', 'the', 'schur', 'operations', 'on', 'quiver', 'representations', 'and', 'the', 'homomorphisms', 'induced', 'by', 'rank', 'functors', 'are', 'lambdaring', 'homomorphisms']] | [-0.1365779207387407, 0.058063222702393044, -0.12993226225288318, 0.06555678786909473, -0.09557652369923224, -0.16734313815166907, -0.04496622643949065, 0.3688838330895773, -0.43477046004097375, -0.17830084630155138, 0.07563913575203125, -0.18392835532150847, -0.2129681128010686, 0.11477933923535082, -0.11753914140198114, -0.06269517978736465, 0.0704282121974172, 0.14349575521607352, -0.14992460204770655, -0.2709707768164143, 0.4255638359297466, -0.02104121839095439, 0.23391460632306657, 0.031242786031465845, 0.14135613169803815, 0.02201449334305445, -0.04808681471123626, -0.030183184567639337, -0.14064168251167888, 0.15086948040074535, 0.35538633052991436, 0.12385364136051587, 0.1515428745146242, -0.36344488282754484, -0.0673324313881624, 0.24395737708878837, 0.09527161941930119, 0.02301779278890795, -0.01995154920171314, -0.2637235200464992, 0.12720972121210902, -0.25492377237450065, -0.10352012505505367, -0.16459782774992554, 0.09699273306822372, 0.01712845401406022, -0.30950204524820685, -0.034563865490002045, 0.06747449650668257, 0.11245825458965035, -0.07814429292920977, -0.1302229696219521, -0.07428715708582397, 0.07947009480475183, -0.038867876931492774, 0.033037846583673466, 0.12891056005277537, -0.16238790581701323, -0.1578809843714615, 0.3441942180506885, -0.011970052761690957, -0.24246262527802692, 0.15922947826662234, -0.14604778085984954, -0.16802916601591278, 0.09624146462634339, 0.09325357414283124, 0.11906237740367942, 0.04519492562342618, 0.1952807321280748, -0.16849732019805483, 0.08377861860312155, 0.11452213098943632, 0.05554445713642053, 0.1491432329473485, 0.028328705379473313, 0.057494398793486265, 0.15289524137759664, 0.061300257591418425, 0.016593716572970152, -0.3120530102501756, -0.1789272741797114, -0.10607651587218113, 0.1183028717578054, -0.14648203046986705, -0.18529192476333783, 0.47562947346263434, 0.10137418305800695, 0.21633376896300302, 0.18951816471755073, 0.22524410566672617, 0.0824239335488528, 0.12064583628229489, 0.030846047884551808, 0.09779238547162095, 0.2676443733279094, -0.060837127322364334, -0.09349250011707357, -0.04474157505943107, 0.29020094609170755] |
711.1136 | Analysis of continuous strict local martingales via h-transforms | We study strict local martingales via h-transforms, a method which first
appeared in Delbaen-Schachermayer. We show that strict local martingales arise
whenever there is a consistent family of change of measures where the two
measures are not equivalent to one another. Several old and new strict local
martingales are identified. We treat examples of diffusions with various
boundary behavior, size-bias sampling of diffusion paths, and non-colliding
diffusions. A multidimensional generalization to conformal strict local
martingales is achieved through Kelvin transform. As curious examples of
non-standard behavior, we show by various examples that strict local
martingales do not behave uniformly when the function (x-K)^+ is applied to
them. Implications to the recent literature on financial bubbles are discussed.
| math.PR q-fin.CP | we study strict local martingales via htransforms a method which first appeared in delbaenschachermayer we show that strict local martingales arise whenever there is a consistent family of change of measures where the two measures are not equivalent to one another several old and new strict local martingales are identified we treat examples of diffusions with various boundary behavior sizebias sampling of diffusion paths and noncolliding diffusions a multidimensional generalization to conformal strict local martingales is achieved through kelvin transform as curious examples of nonstandard behavior we show by various examples that strict local martingales do not behave uniformly when the function xk is applied to them implications to the recent literature on financial bubbles are discussed | [['we', 'study', 'strict', 'local', 'martingales', 'via', 'htransforms', 'a', 'method', 'which', 'first', 'appeared', 'in', 'delbaenschachermayer', 'we', 'show', 'that', 'strict', 'local', 'martingales', 'arise', 'whenever', 'there', 'is', 'a', 'consistent', 'family', 'of', 'change', 'of', 'measures', 'where', 'the', 'two', 'measures', 'are', 'not', 'equivalent', 'to', 'one', 'another', 'several', 'old', 'and', 'new', 'strict', 'local', 'martingales', 'are', 'identified', 'we', 'treat', 'examples', 'of', 'diffusions', 'with', 'various', 'boundary', 'behavior', 'sizebias', 'sampling', 'of', 'diffusion', 'paths', 'and', 'noncolliding', 'diffusions', 'a', 'multidimensional', 'generalization', 'to', 'conformal', 'strict', 'local', 'martingales', 'is', 'achieved', 'through', 'kelvin', 'transform', 'as', 'curious', 'examples', 'of', 'nonstandard', 'behavior', 'we', 'show', 'by', 'various', 'examples', 'that', 'strict', 'local', 'martingales', 'do', 'not', 'behave', 'uniformly', 'when', 'the', 'function', 'xk', 'is', 'applied', 'to', 'them', 'implications', 'to', 'the', 'recent', 'literature', 'on', 'financial', 'bubbles', 'are', 'discussed']] | [-0.10900718640487898, 0.11023324318551297, -0.07871454893129654, 0.14497663140606037, -0.10049267358483811, -0.14192212154237746, 0.033379975071072515, 0.3917478746895132, -0.32801328425632853, -0.19786431799755141, 0.12149566407455935, -0.26756808043011976, -0.17576788913394356, 0.2254745198728854, -0.13989784951514467, 0.04463628333479423, 0.015160469402526987, 0.01056717567402741, -0.053692671743317925, -0.2742444967674413, 0.30982817290658143, -0.02932519706142745, 0.2510874227054642, 0.0003743007787150042, 0.1225566671567102, -0.04082999920175443, -0.05324369854221506, 0.057911467995366145, -0.1598437758979783, 0.0886177367827823, 0.2121684045434512, 0.0924303761627204, 0.31826131795693574, -0.42453574577089526, -0.18424468334956928, 0.19694558327118383, 0.1095406269026892, 0.06262365634179802, -0.06030004419053198, -0.3170871520575521, 0.06963575377674966, -0.12139945172158809, -0.1377551581285059, -0.11083586683199773, -0.018315754670264393, 0.11288797606288552, -0.27259474841412157, 0.10317477113808152, 0.10771854959653113, 0.06515270610531122, -0.02507312716173554, -0.09545245382870579, -0.013878515859311125, 0.07203460790559144, 0.0924892852600696, -0.039715652404240624, 0.1339767306023438, -0.05556041072122753, -0.1650018705745581, 0.3276590620391352, -0.06576075454860733, -0.22926514563030273, 0.2478056773744074, -0.18010681692976505, -0.17726494194859446, 0.0898316191220335, 0.10009858830719544, 0.1266835329006426, -0.18067484175455698, 0.09941079770917362, -0.08944976424441095, 0.06010597249179886, 0.0838030545514655, 0.03557306845624257, 0.13341619284394005, 0.06914717727942907, 0.14330560267814596, 0.1347199030750399, 0.010823116515078663, -0.18201494405592053, -0.3556407869247527, -0.15718435707546224, -0.17312151953931257, 0.08225486022525604, -0.11123422138038662, -0.18432118148334195, 0.31880171965317927, 0.13088960879106487, 0.20512260449247371, 0.09130301565064342, 0.18329219414515358, 0.12983290766715072, 0.027963454417627435, 0.047301763752957096, 0.18009808565819121, 0.13939984835250752, 0.08164796972916269, -0.0964923737428135, 0.06328069118497862, 0.11204916283143042] |
711.1137 | Dielectronic recombination and stability of warm gas in AGN | Understanding the thermal equilibrium (stability) curve may offer insights
into the nature of the warm absorbers often found in active galactic nuclei.
Its shape is determined by factors like the spectrum of the ionizing continuum
and the chemical composition of the gas. We find that the stability curves
obtained under the same set of the above mentioned physical factors, but using
recently derived dielectronic recombination rates, give significantly different
results, especially in the regions corresponding to warm absorbers, leading to
different physical predictions. Using the current rates we find a larger
probability of having thermally stable warm absorber at $10^5 \kel$ than
previous predictions and also a greater possibility for its multiphase nature.
the results obtained with the current dielectronic recombination rate
coefficients are more reliable because the warm absorber models along the
stability curve have computed coefficient values, whereas previous calculations
relied on guessed averages for the same due to lack of available data.
| astro-ph | understanding the thermal equilibrium stability curve may offer insights into the nature of the warm absorbers often found in active galactic nuclei its shape is determined by factors like the spectrum of the ionizing continuum and the chemical composition of the gas we find that the stability curves obtained under the same set of the above mentioned physical factors but using recently derived dielectronic recombination rates give significantly different results especially in the regions corresponding to warm absorbers leading to different physical predictions using the current rates we find a larger probability of having thermally stable warm absorber at 105 kel than previous predictions and also a greater possibility for its multiphase nature the results obtained with the current dielectronic recombination rate coefficients are more reliable because the warm absorber models along the stability curve have computed coefficient values whereas previous calculations relied on guessed averages for the same due to lack of available data | [['understanding', 'the', 'thermal', 'equilibrium', 'stability', 'curve', 'may', 'offer', 'insights', 'into', 'the', 'nature', 'of', 'the', 'warm', 'absorbers', 'often', 'found', 'in', 'active', 'galactic', 'nuclei', 'its', 'shape', 'is', 'determined', 'by', 'factors', 'like', 'the', 'spectrum', 'of', 'the', 'ionizing', 'continuum', 'and', 'the', 'chemical', 'composition', 'of', 'the', 'gas', 'we', 'find', 'that', 'the', 'stability', 'curves', 'obtained', 'under', 'the', 'same', 'set', 'of', 'the', 'above', 'mentioned', 'physical', 'factors', 'but', 'using', 'recently', 'derived', 'dielectronic', 'recombination', 'rates', 'give', 'significantly', 'different', 'results', 'especially', 'in', 'the', 'regions', 'corresponding', 'to', 'warm', 'absorbers', 'leading', 'to', 'different', 'physical', 'predictions', 'using', 'the', 'current', 'rates', 'we', 'find', 'a', 'larger', 'probability', 'of', 'having', 'thermally', 'stable', 'warm', 'absorber', 'at', '105', 'kel', 'than', 'previous', 'predictions', 'and', 'also', 'a', 'greater', 'possibility', 'for', 'its', 'multiphase', 'nature', 'the', 'results', 'obtained', 'with', 'the', 'current', 'dielectronic', 'recombination', 'rate', 'coefficients', 'are', 'more', 'reliable', 'because', 'the', 'warm', 'absorber', 'models', 'along', 'the', 'stability', 'curve', 'have', 'computed', 'coefficient', 'values', 'whereas', 'previous', 'calculations', 'relied', 'on', 'guessed', 'averages', 'for', 'the', 'same', 'due', 'to', 'lack', 'of', 'available', 'data']] | [-0.07470314404288787, 0.10466566261489905, -0.06113708599981281, 0.053461829624739624, -0.01681437777926124, -0.10288211410684932, 0.068749123249924, 0.36455182576131434, -0.20687360168404637, -0.31538995209360315, 0.07104791785710521, -0.26235702406434763, -0.031228209356026302, 0.21188730047565074, -0.0010856663147287985, 0.029603337059492214, 0.016269840725186852, -0.034946113671626776, -0.049331122455787996, -0.23450928670804827, 0.28327941106512183, 0.11515653277897546, 0.26934185736181754, 0.05142004974899934, 0.040263151336130835, -0.07525604269917935, -0.0711885407011235, -0.007399842389408619, -0.16646073648669463, 0.10511323041733234, 0.2140753276791891, 0.09266719704854393, 0.20069595770009102, -0.4240387985542897, -0.26293680128611385, 0.09943506486052947, 0.1487460036176227, 0.08885454266902901, -0.054184599046223615, -0.23621156383005362, 0.05618434734642506, -0.12921025681219275, -0.16756189893949927, -0.03944234902700109, 0.019602818886238722, 0.028794981815641926, -0.2395291163495952, 0.10341662335521241, 0.004154324504516778, 0.05084723599603392, -0.10282913117158797, -0.19291324116169445, -0.07811237729094442, 0.08283238012583986, 0.04827209090243184, -0.02967437098643953, 0.21335282850289536, -0.15043113942468359, -0.04280794863438895, 0.412435748560294, -0.08647095531482445, -0.09700903824977426, 0.23598531825137475, -0.1810809526502365, -0.11177651505436628, 0.23488796783025345, 0.11533432509524807, 0.09480289136502712, -0.14768175948711654, 0.006510895465861165, -0.017624496710636924, 0.173651334102596, 0.04591200671669456, 0.0868334422308591, 0.2225627481997494, 0.09385346672347476, -0.0040625788166277835, 0.0769047925586722, -0.08026978631443794, -0.10087696998229911, -0.23108808421379617, -0.09234368031123473, -0.0918805081329699, 0.05159429731598544, -0.108949932864409, -0.13121670896352658, 0.3651852375617431, 0.14430570165972195, 0.25182162496306365, 0.026073404359481026, 0.3089284659753884, 0.12392653134555721, 0.04141791916542476, 0.0912294432911421, 0.317792507297089, 0.13196116442221306, 0.08549992846505296, -0.22937191717116343, 0.13459238557430406, 0.021454539315234267] |
711.1138 | Evidence for a parity doublet Delta(1920)P_{33} and Delta(1940)D_{33}$
from \gamma p\to p\pi^0\eta | Evidence is reported for the existence of a parity doublet of Delta
resonances with total angular momentum J=3/2 from photoproduction of the p pi^0
eta final state. The two parity partners Delta(1920)P_{33} and
Delta(1940)D_{33} make significant contributions to the reaction. Cascades of
resonances into Delta(1232) eta, N(1535) pi, and N a_0(980) are clearly
observed.
| nucl-ex | evidence is reported for the existence of a parity doublet of delta resonances with total angular momentum j32 from photoproduction of the p pi0 eta final state the two parity partners delta1920p_33 and delta1940d_33 make significant contributions to the reaction cascades of resonances into delta1232 eta n1535 pi and n a_0980 are clearly observed | [['evidence', 'is', 'reported', 'for', 'the', 'existence', 'of', 'a', 'parity', 'doublet', 'of', 'delta', 'resonances', 'with', 'total', 'angular', 'momentum', 'j32', 'from', 'photoproduction', 'of', 'the', 'p', 'pi0', 'eta', 'final', 'state', 'the', 'two', 'parity', 'partners', 'delta1920p_33', 'and', 'delta1940d_33', 'make', 'significant', 'contributions', 'to', 'the', 'reaction', 'cascades', 'of', 'resonances', 'into', 'delta1232', 'eta', 'n1535', 'pi', 'and', 'n', 'a_0980', 'are', 'clearly', 'observed']] | [-0.17150344106562013, 0.2554486125206821, -0.08413062163437542, 0.11764181840435584, -0.05603064420931744, -0.15608014938649986, 0.06914701275878919, 0.2747198151565104, -0.14975711805218794, -0.2664090969560246, -0.19689435508313044, -0.3812755414478059, -0.014842265483237943, 0.02253405971206584, 0.18614593824758283, 0.09537254029638925, 0.09202623066826249, 0.05215668657197142, 0.05060425065106378, -0.10564327122257003, 0.35748920818123053, -0.004890288920405338, 0.12828639604783845, 0.13185886013374296, -0.024683411584569596, -0.012912147485141485, 0.006902379080442325, -0.17871697345432244, -0.1261763004937543, 0.017468598794262363, 0.2640942636490712, 0.07064976958768829, 0.10089760734084642, -0.3123635653195516, -0.04660800644108709, 0.15287079746430776, 0.20654524115072387, 0.09240899266639971, 0.0026157508200069643, -0.38373386606855214, 0.07395113101404793, -0.156435730603506, -0.1199717519910268, -0.11163723277244365, 0.09182823166022745, -0.08147081644889319, -0.3323482311207731, 0.06309103835725559, 0.01309365001155661, 0.07473461295726253, -0.0773704043405025, -0.3629066666482754, -0.11992079328815893, 0.029933575637427705, 0.14654148938046452, 0.06928488152059901, 0.11468337304046694, -0.12377931706537053, -0.19286074984888985, 0.3538636893455712, -0.0359857499353447, -0.17923676897332352, 0.07751501263734305, -0.22254710506981695, -0.15306953664095896, 0.2804617195934901, 0.16807082899898854, 0.045920124831543535, -0.0798161480716377, 0.06743560500996504, -0.051590569457917845, 0.2465132216940511, 0.14061703159526553, 0.10405285158721765, 0.15477378933057892, 0.0957907062278674, -0.0439909520857739, 0.056958640292989755, -0.14834329364645593, -0.11641177559658042, -0.37732640024766606, -0.1263829547876738, -0.06211004907897902, 0.12882082453349009, -0.0018127918642075768, 0.0073173002006029185, 0.3417270650981732, -0.052956714760512114, 0.3444361420664585, -0.036858882460708044, 0.3219889160509239, 0.0921870969798205, 0.0487431445299595, 0.06104688473783855, 0.29743310967284553, 0.2657578111503203, 0.13992856496742945, -0.34344176811447263, 0.044197630576508225, -0.04593366346726159] |
711.1139 | The hydrogen-deficient knot of the `born again' planetary nebula Abell
58 (V605 Aql) | We have analysed deep optical spectra of the `born-again' planetary nebula
Abell 58 and its hydrogen-deficient knot, surrounding V605 Aql, which underwent
a nova-like eruption in 1919. The electron temperature we derive for the
central knot varies widely depending on the diagnostic used. The [O III]
nebular-to-auroral transition ratio gives a temperature of 20800 K, while the
ratio of the [N II] nebular and auroral lines give Te=15200 K. The helium line
ratios 5876/4471 and 6678/4471 imply temperatures of 350 K and 550 K
respectively. Weakly temperature-sensitive O II recombination line ratios imply
similarly low electron temperatures. Abundances derived from recombination
lines are vastly higher than those found from collisionally excited lines, with
the abundance discrepancy factor (adf) for O2+ reaching 89 -- the second
highest known value after that found for the hydrogen deficient knots in Abell
30. The observed temperature diagnostics and abundances support the idea that,
like Abell 30, the knot of Abell 58 contains some very cold ionised material.
Although the central star is carbon-rich (C/O>1), the knot is found to be
oxygen-rich, a situation not predicted by the single-star `born again' theory
of its formation. We argue that the abundances in the ejecta observed in A 30
and A 58 have more in common with neon novae than with Sakurai's Object, which
is believed to have undergone a final helium flash. In particular, the C/O
ratio of less than unity and presence of substantial quantities of neon in the
ejecta of both Abell 30 and Abell 58 are not predicted by very late thermal
pulse models.
| astro-ph | we have analysed deep optical spectra of the bornagain planetary nebula abell 58 and its hydrogendeficient knot surrounding v605 aql which underwent a novalike eruption in 1919 the electron temperature we derive for the central knot varies widely depending on the diagnostic used the o iii nebulartoauroral transition ratio gives a temperature of 20800 k while the ratio of the n ii nebular and auroral lines give te15200 k the helium line ratios 58764471 and 66784471 imply temperatures of 350 k and 550 k respectively weakly temperaturesensitive o ii recombination line ratios imply similarly low electron temperatures abundances derived from recombination lines are vastly higher than those found from collisionally excited lines with the abundance discrepancy factor adf for o2 reaching 89 the second highest known value after that found for the hydrogen deficient knots in abell 30 the observed temperature diagnostics and abundances support the idea that like abell 30 the knot of abell 58 contains some very cold ionised material although the central star is carbonrich co1 the knot is found to be oxygenrich a situation not predicted by the singlestar born again theory of its formation we argue that the abundances in the ejecta observed in a 30 and a 58 have more in common with neon novae than with sakurais object which is believed to have undergone a final helium flash in particular the co ratio of less than unity and presence of substantial quantities of neon in the ejecta of both abell 30 and abell 58 are not predicted by very late thermal pulse models | [['we', 'have', 'analysed', 'deep', 'optical', 'spectra', 'of', 'the', 'bornagain', 'planetary', 'nebula', 'abell', '58', 'and', 'its', 'hydrogendeficient', 'knot', 'surrounding', 'v605', 'aql', 'which', 'underwent', 'a', 'novalike', 'eruption', 'in', '1919', 'the', 'electron', 'temperature', 'we', 'derive', 'for', 'the', 'central', 'knot', 'varies', 'widely', 'depending', 'on', 'the', 'diagnostic', 'used', 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0.25165843184731784, 0.13750981422799669, -0.2349640825351571, 0.12552524130660458, 0.02645973420203518] |
711.114 | On Enumeration of Conjugacy Classes of Coxeter Elements | In this paper we study the equivalence relation on the set of acyclic
orientations of a graph Y that arises through source-to-sink conversions. This
source-to-sink conversion encodes, e.g. conjugation of Coxeter elements of a
Coxeter group. We give a direct proof of a recursion for the number of
equivalence classes of this relation for an arbitrary graph Y using edge
deletion and edge contraction of non-bridge edges. We conclude by showing how
this result may also be obtained through an evaluation of the Tutte polynomial
as T(Y,1,0), and we provide bijections to two other classes of acyclic
orientations that are known to be counted in the same way. A transversal of the
set of equivalence classes is given.
| math.CO math.GR | in this paper we study the equivalence relation on the set of acyclic orientations of a graph y that arises through sourcetosink conversions this sourcetosink conversion encodes eg conjugation of coxeter elements of a coxeter group we give a direct proof of a recursion for the number of equivalence classes of this relation for an arbitrary graph y using edge deletion and edge contraction of nonbridge edges we conclude by showing how this result may also be obtained through an evaluation of the tutte polynomial as ty10 and we provide bijections to two other classes of acyclic orientations that are known to be counted in the same way a transversal of the set of equivalence classes is given | [['in', 'this', 'paper', 'we', 'study', 'the', 'equivalence', 'relation', 'on', 'the', 'set', 'of', 'acyclic', 'orientations', 'of', 'a', 'graph', 'y', 'that', 'arises', 'through', 'sourcetosink', 'conversions', 'this', 'sourcetosink', 'conversion', 'encodes', 'eg', 'conjugation', 'of', 'coxeter', 'elements', 'of', 'a', 'coxeter', 'group', 'we', 'give', 'a', 'direct', 'proof', 'of', 'a', 'recursion', 'for', 'the', 'number', 'of', 'equivalence', 'classes', 'of', 'this', 'relation', 'for', 'an', 'arbitrary', 'graph', 'y', 'using', 'edge', 'deletion', 'and', 'edge', 'contraction', 'of', 'nonbridge', 'edges', 'we', 'conclude', 'by', 'showing', 'how', 'this', 'result', 'may', 'also', 'be', 'obtained', 'through', 'an', 'evaluation', 'of', 'the', 'tutte', 'polynomial', 'as', 'ty10', 'and', 'we', 'provide', 'bijections', 'to', 'two', 'other', 'classes', 'of', 'acyclic', 'orientations', 'that', 'are', 'known', 'to', 'be', 'counted', 'in', 'the', 'same', 'way', 'a', 'transversal', 'of', 'the', 'set', 'of', 'equivalence', 'classes', 'is', 'given']] | [-0.19040045962056035, 0.12982307421665393, -0.07227456197938603, 0.026671701840236466, -0.10697161856815855, -0.08363271558370727, 0.07577355360536653, 0.3792926100616017, -0.35414925637917644, -0.3138669492700734, 0.04430448099708137, -0.2529144537690868, -0.1580603109855746, 0.16728760055306122, -0.10186032568399087, -0.02882090300066858, 0.09801514410989909, 0.0531464838644223, -0.07814959987886569, -0.24545486785051548, 0.34970031175603217, -0.04857061833986997, 0.2166893619359431, 0.05155753653942265, 0.09798311553577073, 0.050686719278112434, -0.05056973938376476, 0.06988680064996593, -0.14200673402850736, 0.11980882417967814, 0.27358433348524713, 0.16564586579911092, 0.16660275851957437, -0.3832487081631254, -0.10140055789349553, 0.1597565895983249, 0.1301225270606074, 0.07921719570986481, -0.050330935934614233, -0.25405825356132966, 0.10662391911555305, -0.16799495204821482, -0.08765820749342823, -0.008623992208327748, 0.08896143551573603, 0.03989011782985658, -0.26547705975130326, -0.014889467850130482, 0.1424725959276478, 0.08763399803772187, 0.018232105053069755, -0.07648507496501264, -0.03958658411955604, 0.14417427041941983, -0.021966486216053113, 0.031555639279401325, 0.056957755309457965, -0.10335852779073912, -0.18218722216522273, 0.37453248950406015, -0.009859373681565635, -0.19876605421145502, 0.16198354571038842, -0.10525842400617962, -0.19215981978684282, 0.08835416307680818, 0.12629618061085543, 0.11424247038940716, -0.10740363482449554, 0.08241926556309828, -0.14812523299036148, 0.07562619033388984, 0.125804379912746, 0.014315813063428951, 0.13725217304920825, 0.10302287671699101, 0.09101279565077434, 0.2106216168254972, 0.016374358845651787, 0.003084303222150884, -0.3442670879805954, -0.20509320333536363, -0.15700404707772228, 0.0739456574486282, -0.15244806923905516, -0.1832880580909232, 0.40988858324340266, 0.12484566416515785, 0.2317289455881358, 0.10899938181098391, 0.21274626683284584, 0.09870740510727295, 0.04225471031525706, 0.04162611413158031, 0.14754721701033732, 0.18608729794629428, -0.04756111373456243, -0.1721826640403487, 0.0787937887148279, 0.17679234597290683] |
711.1141 | Transcriptional pulsing and consequent stochasticity in gene expression | Transcriptional pulsing has been observed in both prokaryotes and eukaryotes
and plays a crucial role in cell to cell variability of protein and mRNA
numbers. The issue is how the time constants associated with episodes of
transcriptional bursting impact cellular mRNA and protein distributions and
reciprocally, to what extent experimentally observed distributions can be
attributed to transcriptional pulsing. We address these questions by
investigating the exact time-dependent solution of the Master equation for a
transcriptional pulsing model of mRNA distributions. We find a plethora of
results: we show that, among others, bimodal and long-tailed (power law)
distributions occur in the steady state as the rate constants are varied over
biologically significant time scales. Since steady state distributions may not
be reached experimentally we present results for the time evolution of the
distributions. Because cellular behavior is essentially determined by proteins,
we investigate the effect of the different mRNA distributions on the
corresponding protein distributions. We delineate the regimes of rate constants
for which the protein distribution mimics the mRNA distribution and those for
which the protein distribution deviates significantly from the mRNA
distribution.
| q-bio.QM q-bio.SC | transcriptional pulsing has been observed in both prokaryotes and eukaryotes and plays a crucial role in cell to cell variability of protein and mrna numbers the issue is how the time constants associated with episodes of transcriptional bursting impact cellular mrna and protein distributions and reciprocally to what extent experimentally observed distributions can be attributed to transcriptional pulsing we address these questions by investigating the exact timedependent solution of the master equation for a transcriptional pulsing model of mrna distributions we find a plethora of results we show that among others bimodal and longtailed power law distributions occur in the steady state as the rate constants are varied over biologically significant time scales since steady state distributions may not be reached experimentally we present results for the time evolution of the distributions because cellular behavior is essentially determined by proteins we investigate the effect of the different mrna distributions on the corresponding protein distributions we delineate the regimes of rate constants for which the protein distribution mimics the mrna distribution and those for which the protein distribution deviates significantly from the mrna distribution | [['transcriptional', 'pulsing', 'has', 'been', 'observed', 'in', 'both', 'prokaryotes', 'and', 'eukaryotes', 'and', 'plays', 'a', 'crucial', 'role', 'in', 'cell', 'to', 'cell', 'variability', 'of', 'protein', 'and', 'mrna', 'numbers', 'the', 'issue', 'is', 'how', 'the', 'time', 'constants', 'associated', 'with', 'episodes', 'of', 'transcriptional', 'bursting', 'impact', 'cellular', 'mrna', 'and', 'protein', 'distributions', 'and', 'reciprocally', 'to', 'what', 'extent', 'experimentally', 'observed', 'distributions', 'can', 'be', 'attributed', 'to', 'transcriptional', 'pulsing', 'we', 'address', 'these', 'questions', 'by', 'investigating', 'the', 'exact', 'timedependent', 'solution', 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711.1142 | An Expanding Shell and Synchrotron Jet in RS Ophiuchi | We report high-resolution radio imaging of the recurrent nova RS Ophiuchi (RS
Oph) during the first month of the 2006 outburst, using the Very Long Baseline
Array (VLBA). Observations made on days 20.8 and 26.8 of the outburst show a
synchrotron-emitting partial shell that is much brighter to the east than to
the west. Assuming the broad component of the infrared lines corresponds to the
outermost part of the shell seen by the VLBA, the distance to the source is
$2.45\pm0.4 kpc$. The circular shape and spectral indices of the shell emission
challenge simple models for the radio structure immediately after the outburst.
The second epoch also shows an additional, resolved, synchrotron-emitting
component well to the east of the shell. Its inferred velocity is comparable to
the escape speed from the surface of a high-mass white dwarf. This component
was not seen in the first epoch. Its appearance may be related to the outflow
reaching the edge of the nebula created by the red giant wind, which had been
re-filling the void left by the last outburst in 1985. This eastern component
is likely related to the jets previously seen in this and other symbiotic
stars, and represents the earliest clear detection of such a jet, as well as
the best case yet for synchrotron emission from a white dwarf jet.
| astro-ph | we report highresolution radio imaging of the recurrent nova rs ophiuchi rs oph during the first month of the 2006 outburst using the very long baseline array vlba observations made on days 208 and 268 of the outburst show a synchrotronemitting partial shell that is much brighter to the east than to the west assuming the broad component of the infrared lines corresponds to the outermost part of the shell seen by the vlba the distance to the source is 245pm04 kpc the circular shape and spectral indices of the shell emission challenge simple models for the radio structure immediately after the outburst the second epoch also shows an additional resolved synchrotronemitting component well to the east of the shell its inferred velocity is comparable to the escape speed from the surface of a highmass white dwarf this component was not seen in the first epoch its appearance may be related to the outflow reaching the edge of the nebula created by the red giant wind which had been refilling the void left by the last outburst in 1985 this eastern component is likely related to the jets previously seen in this and other symbiotic stars and represents the earliest clear detection of such a jet as well as the best case yet for synchrotron emission from a white dwarf jet | [['we', 'report', 'highresolution', 'radio', 'imaging', 'of', 'the', 'recurrent', 'nova', 'rs', 'ophiuchi', 'rs', 'oph', 'during', 'the', 'first', 'month', 'of', 'the', '2006', 'outburst', 'using', 'the', 'very', 'long', 'baseline', 'array', 'vlba', 'observations', 'made', 'on', 'days', '208', 'and', '268', 'of', 'the', 'outburst', 'show', 'a', 'synchrotronemitting', 'partial', 'shell', 'that', 'is', 'much', 'brighter', 'to', 'the', 'east', 'than', 'to', 'the', 'west', 'assuming', 'the', 'broad', 'component', 'of', 'the', 'infrared', 'lines', 'corresponds', 'to', 'the', 'outermost', 'part', 'of', 'the', 'shell', 'seen', 'by', 'the', 'vlba', 'the', 'distance', 'to', 'the', 'source', 'is', '245pm04', 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711.1143 | Optimal intertemporal risk allocation applied to insurance pricing | We present a general approach to the pricing of products in finance and
insurance in the multi-period setting. It is a combination of the utility
indifference pricing and optimal intertemporal risk allocation. We give a
characterization of the optimal intertemporal risk allocation by a first order
condition. Applying this result to the exponential utility function, we obtain
an essentially new type of premium calculation method for a popular type of
multi-period insurance contract. This method is simple and can be easily
implemented numerically. We see that the results of numerical calculations are
well coincident with the risk loading level determined by traditional
practices. The results also suggest a possible implied utility approach to
insurance pricing.
| q-fin.PR math.PR q-fin.RM | we present a general approach to the pricing of products in finance and insurance in the multiperiod setting it is a combination of the utility indifference pricing and optimal intertemporal risk allocation we give a characterization of the optimal intertemporal risk allocation by a first order condition applying this result to the exponential utility function we obtain an essentially new type of premium calculation method for a popular type of multiperiod insurance contract this method is simple and can be easily implemented numerically we see that the results of numerical calculations are well coincident with the risk loading level determined by traditional practices the results also suggest a possible implied utility approach to insurance pricing | [['we', 'present', 'a', 'general', 'approach', 'to', 'the', 'pricing', 'of', 'products', 'in', 'finance', 'and', 'insurance', 'in', 'the', 'multiperiod', 'setting', 'it', 'is', 'a', 'combination', 'of', 'the', 'utility', 'indifference', 'pricing', 'and', 'optimal', 'intertemporal', 'risk', 'allocation', 'we', 'give', 'a', 'characterization', 'of', 'the', 'optimal', 'intertemporal', 'risk', 'allocation', 'by', 'a', 'first', 'order', 'condition', 'applying', 'this', 'result', 'to', 'the', 'exponential', 'utility', 'function', 'we', 'obtain', 'an', 'essentially', 'new', 'type', 'of', 'premium', 'calculation', 'method', 'for', 'a', 'popular', 'type', 'of', 'multiperiod', 'insurance', 'contract', 'this', 'method', 'is', 'simple', 'and', 'can', 'be', 'easily', 'implemented', 'numerically', 'we', 'see', 'that', 'the', 'results', 'of', 'numerical', 'calculations', 'are', 'well', 'coincident', 'with', 'the', 'risk', 'loading', 'level', 'determined', 'by', 'traditional', 'practices', 'the', 'results', 'also', 'suggest', 'a', 'possible', 'implied', 'utility', 'approach', 'to', 'insurance', 'pricing']] | [-0.05345282718670838, -0.039544471250922905, -0.10083883555666746, 0.12682245835742872, -0.12673776551433233, -0.12672373711576929, 0.15900823135212389, 0.4380217162811238, -0.29430462802233903, -0.2496175806645466, 0.16301564451752473, -0.22771236161174982, -0.17957167050436787, 0.21617338441757727, -0.15663216856672713, 0.03897294995739408, 0.021010461263358593, -0.011534658256594254, 0.0214997986637805, -0.298579034095873, 0.294718049450413, 0.09037703601643443, 0.31483484310624393, 0.07706102967343252, 0.07785828473127407, 0.014632954353304662, -0.0165128700921069, 0.03748758603697238, -0.16990520687724472, 0.19417718393404199, 0.3064813288414608, 0.17195857611849255, 0.3909265547018984, -0.3778154313888239, -0.16534881193555243, 0.09282946449340038, 0.03122898038962613, 0.05470963845272427, -0.05545327314378127, -0.23228202113962693, 0.0002858346019385625, -0.29003092193085217, -0.14932961193844677, -0.11656009012266345, -0.04477788080744769, 0.04357872623140397, -0.38720885147543055, 0.07733790768568566, -0.005987218320977105, 0.015546958315953026, -0.10861362982946246, -0.12176613667878605, 0.010148969942541873, 0.08746308020275573, 0.12630798477760474, -0.07458110923306895, 0.1262939498314391, -0.07480545684938197, -0.2049161491267707, 0.38063906681440446, -0.07440946350461276, -0.18901567709121003, 0.08678134523494088, -0.07918041087282093, -0.12297518809285501, 0.10791405938646716, 0.1825798477957268, 0.10878075804237439, -0.21249758721045825, 0.0491295561705635, -0.06280938432470935, 0.1181894452797006, 0.07194132780980157, -0.03614068297497199, 0.10665444416277435, 0.1955948557664195, 0.1270195860415697, 0.14839484230311506, -0.013807250863022131, -0.1346742829839375, -0.31917991359596665, -0.1671017056857438, -0.1411281415949697, 0.057258137999831336, -0.12498904383581881, -0.1463834567491532, 0.36974166414659954, 0.15352858431718272, 0.08687435089731994, 0.1347082009781962, 0.31874249486819556, 0.22069129063545362, -0.0110621963992067, 0.09236111963976366, 0.1649869566793432, 0.001911766517340489, 0.10300009568910236, -0.1889200063098384, 0.1472197399272219, 0.03889352099808014] |
711.1144 | The Origin of Radio Scintillation In the Local Interstellar Medium | We study three quasar radio sources (B1257-326, B1519-273, and J1819+385)
that show large amplitude intraday and annual scintillation variability
produced by the Earth's motion relative to turbulent-scattering screens located
within a few parsecs of the Sun. We find that the lines of sight to these
sources pass through the edges of partially ionized warm interstellar clouds
where two or more clouds may interact. From the gas flow vectors of these
clouds, we find that the relative radial and transverse velocities of these
clouds are large and could generate the turbulence that is responsible for the
observed scintillation. For all three sight lines the flow velocities of nearby
warm local interstellar clouds are consistent with the fits to the transverse
flows of the radio scintillation signals.
| astro-ph | we study three quasar radio sources b1257326 b1519273 and j1819385 that show large amplitude intraday and annual scintillation variability produced by the earths motion relative to turbulentscattering screens located within a few parsecs of the sun we find that the lines of sight to these sources pass through the edges of partially ionized warm interstellar clouds where two or more clouds may interact from the gas flow vectors of these clouds we find that the relative radial and transverse velocities of these clouds are large and could generate the turbulence that is responsible for the observed scintillation for all three sight lines the flow velocities of nearby warm local interstellar clouds are consistent with the fits to the transverse flows of the radio scintillation signals | [['we', 'study', 'three', 'quasar', 'radio', 'sources', 'b1257326', 'b1519273', 'and', 'j1819385', 'that', 'show', 'large', 'amplitude', 'intraday', 'and', 'annual', 'scintillation', 'variability', 'produced', 'by', 'the', 'earths', 'motion', 'relative', 'to', 'turbulentscattering', 'screens', 'located', 'within', 'a', 'few', 'parsecs', 'of', 'the', 'sun', 'we', 'find', 'that', 'the', 'lines', 'of', 'sight', 'to', 'these', 'sources', 'pass', 'through', 'the', 'edges', 'of', 'partially', 'ionized', 'warm', 'interstellar', 'clouds', 'where', 'two', 'or', 'more', 'clouds', 'may', 'interact', 'from', 'the', 'gas', 'flow', 'vectors', 'of', 'these', 'clouds', 'we', 'find', 'that', 'the', 'relative', 'radial', 'and', 'transverse', 'velocities', 'of', 'these', 'clouds', 'are', 'large', 'and', 'could', 'generate', 'the', 'turbulence', 'that', 'is', 'responsible', 'for', 'the', 'observed', 'scintillation', 'for', 'all', 'three', 'sight', 'lines', 'the', 'flow', 'velocities', 'of', 'nearby', 'warm', 'local', 'interstellar', 'clouds', 'are', 'consistent', 'with', 'the', 'fits', 'to', 'the', 'transverse', 'flows', 'of', 'the', 'radio', 'scintillation', 'signals']] | [-0.14559313665627124, 0.19562338685909333, -0.041343489484423734, 0.056845692982165956, -0.05541980034894933, -0.03194496688704306, 0.001030847715013776, 0.43918645143324186, -0.2272999529565169, -0.2984232778222231, 0.031206008146924914, -0.3182076495602604, -0.020113689711409782, 0.17976104668033702, 0.004346040292899894, -0.038394120400617564, 0.046607314269847336, -0.09625386004913444, 0.021199841906647546, -0.2183793119139477, 0.2858641312326774, 0.03945525352312021, 0.18473355184994206, 0.010797922095391621, 0.11093114419120619, -0.12668813564930081, -0.09828932916607, 0.026858995368411718, -0.06751402539190497, 0.10664869263606562, 0.2098606250865562, 0.09737201638458189, 0.16207435237597828, -0.4306915007716368, -0.2627122322451477, 0.08556289455953463, 0.17515442805164608, 0.04812715490433303, -0.017576575233655873, -0.29891258704452967, 0.06907963638063058, -0.1315007608086602, -0.17693651846633102, 0.042081808467387904, 0.02441940245734266, 0.09797412766411147, -0.2042865498176168, 0.111437224351978, -0.018415754338536865, 0.09854922377435137, -0.09733886487227826, -0.07208167517573134, -0.058917889683237995, 0.09304524102048133, 0.07616826445287601, 0.01018067739311267, 0.23316892191444424, -0.13971878830025988, -0.017367587392102958, 0.4679195004676984, -0.09947575075351749, -0.040614371720993935, 0.24772361813359395, -0.2234743780548846, -0.14498349358827983, 0.2274827872718538, 0.2092128765561487, 0.0891131690341579, -0.13110894487000818, -0.08362380816016254, -0.09185568875179065, 0.1819724590837001, 0.07242309179903617, 0.06387532544360797, 0.32286999959591006, 0.003622332187600372, 0.07129041528067559, 0.08327713257860207, -0.29843154929824606, -0.05107186998294528, -0.2805020266762369, -0.11213708009901803, -0.10881784179321036, 0.040547237089788926, -0.12961688596891885, -0.11196489048994739, 0.35968858466198866, 0.16050205312473007, 0.22457238115862874, -0.009756506185917077, 0.3561186371294181, 0.045776207796644326, 0.07417317680929872, 0.18322852297401257, 0.314844004806008, 0.1354365811398453, 0.10211130275875946, -0.1911607548490567, 0.0783620701163761, 0.010200442392225107] |
711.1145 | A critique of general relativity | General relativity's successes and limitations are compared to those of
special relativity.
| physics.gen-ph | general relativitys successes and limitations are compared to those of special relativity | [['general', 'relativitys', 'successes', 'and', 'limitations', 'are', 'compared', 'to', 'those', 'of', 'special', 'relativity']] | [-0.03933376772329211, -0.03192687826231122, 0.02374111907556653, 0.16803009994328022, -0.20864821349581084, -0.22816679052387676, -0.10483040971060593, 0.3370398878663157, -0.1549793127924204, -0.322838777055343, 0.11325881148998936, -0.3274448507969889, -0.1278983997181058, 0.2534633589287599, -0.24634196298817793, 0.1303347845096141, 0.10770321132925649, -0.004911985403547685, -0.18826168503922722, -0.2810242132594188, 0.30523311618405086, 0.10144623233160625, 0.25875419781853753, -0.05642257002182305, -0.024521237860123318, -0.060286954045295715, -0.009304858356093368, 0.12757238062719503, -0.049049645041426025, 0.1054968914637963, 0.28851690515875816, 0.15929058803400645, 0.30371717798213166, -0.4924323682983716, -0.257407033117488, 0.024010477898021538, 0.05330482004986455, 0.22184351397057375, -0.05638768807208786, -0.2976069717357556, 0.06449220686530073, -0.19202150559673706, -0.1363859654714664, -0.1086554895543183, 0.002966587975000342, 0.1144392378628254, -0.1466626146187385, 0.06167792963484923, 0.03357983628908793, 0.018707734649069607, -0.004333321121521294, -0.20917742123128846, 0.06313127061973016, 0.08558251095625262, 0.1750506538276871, 0.011759537893037, 0.10771611938253045, -0.16595286061055958, -0.1280996591473619, 0.5709996645649275, 0.007232741452753544, -0.23650947492569685, 0.2483381471441438, -0.16481094776342312, -0.2058550864070033, 0.04872165203172093, 0.11624326670425944, 0.16249584096173444, -0.09405965552044411, 0.10646683349720358, 0.05319674813654274, -0.0549220684915781, 0.12658869828252742, 0.11130406385927927, 0.2039190794651707, 0.0796389471894751, -0.11782481288537383, -0.009019521006848663, 0.043891544453799725, -0.23973471578210592, -0.3331606201827526, -0.04695178855520984, -0.06600476025293271, 0.005890916916541755, -0.10747696222460945, -0.03539465868379921, 0.33811985654756427, 0.14841743170594177, 0.10130949966454257, 0.17538282508030534, 0.2958569483210643, 0.04321506821239988, 0.02860611320162813, 0.016824584376687806, 0.37408288444081944, 0.24155043826128045, 0.021275289822369814, -0.12192957173101604, 0.014670333553416034, -0.0345005647589763] |
711.1146 | Modeling homophily and stochastic equivalence in symmetric relational
data | This article discusses a latent variable model for inference and prediction
of symmetric relational data.
The model, based on the idea of the eigenvalue decomposition, represents the
relationship between two nodes as the weighted inner-product of node-specific
vectors of latent characteristics. This ``eigenmodel'' generalizes other
popular latent variable models, such as latent class and distance models: It is
shown mathematically that any latent class or distance model has a
representation as an eigenmodel, but not vice-versa. The practical implications
of this are examined in the context of three real datasets, for which the
eigenmodel has as good or better out-of-sample predictive performance than the
other two models.
| stat.ME | this article discusses a latent variable model for inference and prediction of symmetric relational data the model based on the idea of the eigenvalue decomposition represents the relationship between two nodes as the weighted innerproduct of nodespecific vectors of latent characteristics this eigenmodel generalizes other popular latent variable models such as latent class and distance models it is shown mathematically that any latent class or distance model has a representation as an eigenmodel but not viceversa the practical implications of this are examined in the context of three real datasets for which the eigenmodel has as good or better outofsample predictive performance than the other two models | [['this', 'article', 'discusses', 'a', 'latent', 'variable', 'model', 'for', 'inference', 'and', 'prediction', 'of', 'symmetric', 'relational', 'data', 'the', 'model', 'based', 'on', 'the', 'idea', 'of', 'the', 'eigenvalue', 'decomposition', 'represents', 'the', 'relationship', 'between', 'two', 'nodes', 'as', 'the', 'weighted', 'innerproduct', 'of', 'nodespecific', 'vectors', 'of', 'latent', 'characteristics', 'this', 'eigenmodel', 'generalizes', 'other', 'popular', 'latent', 'variable', 'models', 'such', 'as', 'latent', 'class', 'and', 'distance', 'models', 'it', 'is', 'shown', 'mathematically', 'that', 'any', 'latent', 'class', 'or', 'distance', 'model', 'has', 'a', 'representation', 'as', 'an', 'eigenmodel', 'but', 'not', 'viceversa', 'the', 'practical', 'implications', 'of', 'this', 'are', 'examined', 'in', 'the', 'context', 'of', 'three', 'real', 'datasets', 'for', 'which', 'the', 'eigenmodel', 'has', 'as', 'good', 'or', 'better', 'outofsample', 'predictive', 'performance', 'than', 'the', 'other', 'two', 'models']] | [-0.051611968617512036, 0.030898107628247736, -0.07609966919087222, 0.1032230015104271, -0.13277057046070695, -0.17454291845804568, 0.025419933577807984, 0.39819145902434244, -0.2937441571685268, -0.3055850875990413, 0.09983896169875135, -0.2672808237513092, -0.17834832180709204, 0.17929425754445108, -0.060891360440509065, 0.05683540022784026, 0.05346381074148361, 0.11828156435322539, -0.07686038818166843, -0.2316953815654721, 0.3365893401292579, 0.04999714567561016, 0.3221591947008377, -0.021581653976120996, 0.12151676245908488, -0.021103020894523955, -0.06887371246006653, 0.01369507846674908, -0.04703080321469825, 0.16305348624379556, 0.261733958067036, 0.18608976189900084, 0.31964006626578134, -0.34403840000262464, -0.30049938641523366, 0.16168901789063048, 0.1071639225435243, 0.03674350742473176, 0.024781927369561082, -0.27474378591629667, 0.029748378003834286, -0.1923079642284418, -0.041641926131794384, -0.10217363787075139, 0.010361854404768098, -0.00840527391187394, -0.2792210299304086, 0.08916391001439819, 0.10048634173331138, 0.036691692823143766, -0.08322441468894412, -0.1802836376137348, -0.015086481565278824, 0.1268937981722302, 0.07753763682422202, 0.030790589166648476, 0.04512081380985747, -0.13845191047544303, -0.1601794245174137, 0.38604927173528436, -0.04688873842522332, -0.2539686846816651, 0.18937590193638804, -0.05438144359668003, -0.15793740741090379, 0.02118009355824406, 0.19676641986714066, 0.11053681802700892, -0.16404008929439273, 0.04853775614990078, -0.10533225525901696, 0.1436492086150988, 0.00020848182856897328, 0.011213202716534627, 0.1720115746367096, 0.21408706477181724, 0.02959140767038704, 0.1263333809111598, -0.11104779901357245, -0.12539347604996412, -0.26059185273980146, -0.15246609882582154, -0.2055578557339227, -0.022480551542787133, -0.17746760349728333, -0.20746630792387447, 0.42245442058159927, 0.17244565149847524, 0.2238655607738297, 0.08904250933914924, 0.2831031526917609, 0.06519616822163775, 0.05538160185368784, 0.0765625108990853, 0.14975015105784079, 0.09963767489670802, 0.051260399464604874, -0.12902180904035118, 0.16215654494562926, 0.0572615370293644] |
711.1147 | A discrete variational identity on semi-direct sums of Lie algebras | The discrete variational identity under general bilinear forms on semi-direct
sums of Lie algebras is established. The constant $\gamma$ involved in the
variational identity is determined through the corresponding solution to the
stationary discrete zero curvature equation. An application of the resulting
variational identity to a class of semi-direct sums of Lie algebras in the
Volterra lattice case furnishes Hamiltonian structures for the associated
integrable couplings of the Volterra lattice hierarchy.
| nlin.SI math-ph math.MP nlin.PS physics.class-ph | the discrete variational identity under general bilinear forms on semidirect sums of lie algebras is established the constant gamma involved in the variational identity is determined through the corresponding solution to the stationary discrete zero curvature equation an application of the resulting variational identity to a class of semidirect sums of lie algebras in the volterra lattice case furnishes hamiltonian structures for the associated integrable couplings of the volterra lattice hierarchy | [['the', 'discrete', 'variational', 'identity', 'under', 'general', 'bilinear', 'forms', 'on', 'semidirect', 'sums', 'of', 'lie', 'algebras', 'is', 'established', 'the', 'constant', 'gamma', 'involved', 'in', 'the', 'variational', 'identity', 'is', 'determined', 'through', 'the', 'corresponding', 'solution', 'to', 'the', 'stationary', 'discrete', 'zero', 'curvature', 'equation', 'an', 'application', 'of', 'the', 'resulting', 'variational', 'identity', 'to', 'a', 'class', 'of', 'semidirect', 'sums', 'of', 'lie', 'algebras', 'in', 'the', 'volterra', 'lattice', 'case', 'furnishes', 'hamiltonian', 'structures', 'for', 'the', 'associated', 'integrable', 'couplings', 'of', 'the', 'volterra', 'lattice', 'hierarchy']] | [-0.1942037620489866, 0.0797572353017323, -0.03074859882849203, 0.0916182819760444, -0.1863841331747531, -0.112744521408696, 0.0036014725624675483, 0.3262583572732311, -0.40311814451091726, -0.14782501576127302, 0.14501687944014097, -0.23913090321904337, -0.14071034490537476, 0.15611702849117803, -0.018247173679336696, 0.028372245643969993, 0.0525954379536159, 0.12486404593719143, -0.15753001999109983, -0.24164998978638733, 0.39361904110287277, -0.02833938220201034, 0.2611163959799098, -0.000854303238054239, 0.16226385474782173, 0.013664230579693973, 0.0023737226327566405, -0.09812377643128725, -0.1407483495430837, 0.12206664647329861, 0.233557564632731, 0.004824033708796954, 0.22447994360569076, -0.3698713513432254, -0.13883946081754608, 0.13016753672609027, 0.14358439247950283, -0.0007020593817595025, -0.012618228230743446, -0.343218509891582, -0.008288957460612898, -0.17315197153620318, -0.18729584355195852, -0.07431823403482705, -0.020578112219571804, 0.013162011136366447, -0.29302544291065613, 0.1429126642736226, 0.07335744907056362, 0.06458187814224774, -0.1339221812496093, -0.11997409637617341, -0.044222447225942055, 0.04912755499974313, 0.024100265052484374, -0.019964068714844088, 0.06206401636902715, -0.06956161081817158, -0.13162604789577528, 0.408757032537964, -0.06991130548437506, -0.3107417929916754, 0.1142250365564521, -0.10739268226758905, -0.20255203760871796, 0.15423292100009783, 0.08095623802026393, 0.12825932947945007, -0.1566899041841987, 0.2266671564298826, -0.09567085244286229, 0.010023962175080054, 0.057536344280020454, -0.027916342927582403, 0.10076698354399488, 0.07618170572300507, 0.1134971108838496, 0.16036499640576438, 0.07101051776889633, -0.16882768047737404, -0.37036832280352083, -0.1722035323545127, -0.17192291919614228, 0.16340138499533208, -0.14574345970578806, -0.2085343952959692, 0.3869072638032302, 0.04681279275789332, 0.10293100813639836, 0.12032257695026485, 0.14345294163680414, 0.20376990681750254, 0.0921221668799211, -0.00972219766445563, 0.13041183234415424, 0.3074022583683139, 0.007703986812487874, -0.1787697804901539, -0.04459268062598479, 0.2541318592339964] |
711.1148 | On the Kert\'esz line: Thermodynamic versus Geometric Criticality | The critical behaviour of the Ising model in the absence of an external
magnetic field can be specified either through spontaneous symmetry breaking
(thermal criticality) or through cluster percolation (geometric criticality).
We extend this to finite external fields for the case of the Potts' model,
showing that a geometric analysis leads to the same first order/second order
structure as found in thermodynamic studies. We calculate the Kert\'esz line,
separating percolating and non-percolating regimes, both analytically and
numerically for the Potts model in presence of an external magnetic field.
| cond-mat.stat-mech | the critical behaviour of the ising model in the absence of an external magnetic field can be specified either through spontaneous symmetry breaking thermal criticality or through cluster percolation geometric criticality we extend this to finite external fields for the case of the potts model showing that a geometric analysis leads to the same first ordersecond order structure as found in thermodynamic studies we calculate the kertesz line separating percolating and nonpercolating regimes both analytically and numerically for the potts model in presence of an external magnetic field | [['the', 'critical', 'behaviour', 'of', 'the', 'ising', 'model', 'in', 'the', 'absence', 'of', 'an', 'external', 'magnetic', 'field', 'can', 'be', 'specified', 'either', 'through', 'spontaneous', 'symmetry', 'breaking', 'thermal', 'criticality', 'or', 'through', 'cluster', 'percolation', 'geometric', 'criticality', 'we', 'extend', 'this', 'to', 'finite', 'external', 'fields', 'for', 'the', 'case', 'of', 'the', 'potts', 'model', 'showing', 'that', 'a', 'geometric', 'analysis', 'leads', 'to', 'the', 'same', 'first', 'ordersecond', 'order', 'structure', 'as', 'found', 'in', 'thermodynamic', 'studies', 'we', 'calculate', 'the', 'kertesz', 'line', 'separating', 'percolating', 'and', 'nonpercolating', 'regimes', 'both', 'analytically', 'and', 'numerically', 'for', 'the', 'potts', 'model', 'in', 'presence', 'of', 'an', 'external', 'magnetic', 'field']] | [-0.16847517066260523, 0.1747415077142637, -0.04525576299859275, 0.0433685212468343, -0.048238476053222845, -0.10879824045595937, 0.05294316221997356, 0.35371765956796447, -0.24616674217127862, -0.2848238896487559, 0.08050944262328719, -0.23734026220653892, -0.15500331508670132, 0.10646039048402474, 0.0623979795317369, 0.018286647810333078, -0.08613338580237295, 0.0506834294379357, -0.04662441695376631, -0.194106512796669, 0.3052717264977166, 0.012389998272832098, 0.31611780285963725, 0.08785018769371185, 0.015689667068079286, 0.021122495044322533, 0.10564897132330928, 0.07527670928480468, -0.15205752724641466, 0.007484166733064185, 0.1619063515226817, -0.006365725567200403, 0.17754343216191715, -0.4347941442553339, -0.2636740740774007, 0.14303302259623318, 0.19513695365909872, 0.16509753836040525, -0.015519988096865087, -0.3012291910635286, 0.07648234625999954, -0.15209329956286083, -0.17567993094609385, -0.09244875380790782, -0.03653667149690633, 0.009731361489935681, -0.282517043015272, 0.10155222966367829, 0.09462581706185151, 0.14076866648406133, -0.11605703065856948, -0.02950448851133215, -0.061813446294366456, 0.1421994869356397, 0.05337602898073563, 0.03636963593227596, 0.15115291475527118, -0.19881818603841994, -0.1566008612749049, 0.3535122000772891, -0.04708558946831858, -0.1510488743005299, 0.19590832760835858, -0.16495990307048905, -0.15616435055546035, 0.11363616275023027, 0.14435901358488135, 0.06878249115985015, -0.1317935236896945, 0.10739511222680281, 0.007832508892805755, 0.15790137360889422, -0.007940933408065775, -0.05887327566421751, 0.23833733759606365, 0.13456951067836462, 0.02023961088866338, 0.27183343115096764, -0.08377666851163082, -0.18655677440565552, -0.31357346378780643, -0.11159872199440825, -0.18926013592261307, 0.0518420193486194, -0.16003846420990786, -0.2287333793724063, 0.3763311061012591, 0.21964348239246115, 0.19678896037198004, 0.005756257599669284, 0.2429831368131456, 0.14149229031393368, 0.017164532962287295, 0.06330003343179993, 0.2343826216709768, 0.16925612655628858, 0.07620194569315719, -0.25896445631809617, 0.03686744234278456, 0.06726583836054237] |
711.1149 | Stein or Milnor fillability and cohomology | I have withdrawn the paper, after having incorporated it into the paper
arXiv:0712.3484. In the meantime I have discovered that one of the theorems
proved in the paper had already been proved by Durfee & Hain.
| math.CV math.SG | i have withdrawn the paper after having incorporated it into the paper arxiv07123484 in the meantime i have discovered that one of the theorems proved in the paper had already been proved by durfee hain | [['i', 'have', 'withdrawn', 'the', 'paper', 'after', 'having', 'incorporated', 'it', 'into', 'the', 'paper', 'arxiv07123484', 'in', 'the', 'meantime', 'i', 'have', 'discovered', 'that', 'one', 'of', 'the', 'theorems', 'proved', 'in', 'the', 'paper', 'had', 'already', 'been', 'proved', 'by', 'durfee', 'hain']] | [-0.06608151165795896, 0.047231215271441376, -0.14698296420015944, -0.011291546747088432, -0.010912062600255013, -0.1650281254311695, -0.01602104346281575, 0.3262261686956181, -0.21875225993640282, -0.3025288326556192, 0.14987938521731206, -0.2628750992829309, -0.18173190058373354, 0.13918183459078565, -0.16659864481976805, 0.026955640135223374, 0.04664093017687693, 0.02316116010222365, 0.0019060773501063093, -0.4085964935229105, 0.35911430500666885, 0.019930586410576805, 0.19806371673065074, 0.10157295400002862, 0.09349554585402503, -0.02300505498972009, -0.12546550766701864, 0.04783227480947971, -0.1633994250829239, 0.05809554556275115, 0.24045296155792825, 0.12264528013453374, 0.3660840105046244, -0.4497547530952622, -0.2162198167951668, 0.1180989856229109, 0.22572671364554586, 0.06049207630841171, -0.08432154346476584, -0.32677722201846976, 0.18886392900501103, -0.23673604571205728, -0.15422651778413532, 0.006360543234383359, 0.0897161410197013, -0.04721932884250932, -0.09509694406776414, -0.03622317078578122, 0.2222588637515026, 0.09564562766429256, 0.005684939815717585, -0.20675429852460236, -0.006042897468432784, 0.11052095112116898, 0.15106150165528937, 0.029986444216988543, -0.06086880089167286, -0.035516502554802334, -0.07898322542143218, 0.3246266947073095, 0.03137655665769296, -0.12348043721388369, 0.07391052264446284, -0.11369871174204438, -0.23120057013104944, 0.09963730109088562, 0.0912438113899792, 0.08902957528720007, -0.22698864055907025, 0.17998640099540353, -0.09596032843760707, 0.05705498527351986, 0.22457839973161325, 0.020812573801616534, 0.11439146550700945, 0.09390733171911801, -0.019012387746068483, 0.1736203500562731, -0.05020326485528665, -0.0065299716285046406, -0.21962819182697466, -0.18535410200574381, -0.19471055280198069, 0.0495526937986998, 0.09619332977351458, -0.06381875303957392, 0.38712396028944673, 0.14721683390876827, 0.14388538039672902, 0.012920442749472225, 0.19135167471626224, 0.1478452609050745, 0.12683479427633917, 0.07432458509334966, 0.3455406962072148, 0.16387228931382516, 0.16988881888306318, -0.04081603273858919, 0.15729825884815962, 0.16653432674801855] |
711.115 | Junction Conditions in f(R) Theories of Gravity | Taking advantage of the conformal equivalence of f(R) theories of gravity
with General Relativity coupled to a scalar field we generalize the Israel
junction conditions for this class of theories by direct integration of the
field equations. We suggest a specific non-minimal coupling of matter to
gravity which opens the possibility of a new class of braneworld scenarios.
| gr-qc astro-ph hep-th | taking advantage of the conformal equivalence of fr theories of gravity with general relativity coupled to a scalar field we generalize the israel junction conditions for this class of theories by direct integration of the field equations we suggest a specific nonminimal coupling of matter to gravity which opens the possibility of a new class of braneworld scenarios | [['taking', 'advantage', 'of', 'the', 'conformal', 'equivalence', 'of', 'fr', 'theories', 'of', 'gravity', 'with', 'general', 'relativity', 'coupled', 'to', 'a', 'scalar', 'field', 'we', 'generalize', 'the', 'israel', 'junction', 'conditions', 'for', 'this', 'class', 'of', 'theories', 'by', 'direct', 'integration', 'of', 'the', 'field', 'equations', 'we', 'suggest', 'a', 'specific', 'nonminimal', 'coupling', 'of', 'matter', 'to', 'gravity', 'which', 'opens', 'the', 'possibility', 'of', 'a', 'new', 'class', 'of', 'braneworld', 'scenarios']] | [-0.22398373850717626, 0.10086377816082075, -0.06927449391062918, 0.059906961595045466, -0.16940290785539125, -0.17866159488190095, -0.04210517110286987, 0.22981493307502363, -0.19013689137224493, -0.32151176260206205, -0.007568929753876452, -0.1687913284926065, -0.12702449871395746, 0.17106281888896022, -0.025396770813727175, 0.013389376923441887, -0.020508374392600923, -0.001063747716874912, -0.11555285844951868, -0.22277861506003757, 0.4345788213841874, 0.026975747486897583, 0.2182642750056653, 0.02331383468117565, 0.12505645059241816, -0.05249737569227301, 0.03602632308571503, 0.09960828328119783, -0.16544468374922872, 0.11438330054957548, 0.1922026441175619, 0.09897901639663453, 0.2501990478726682, -0.43793689761439275, -0.3113165833698264, 0.06543615061372261, 0.06605988435832591, 0.18067577071608334, -0.07963601985930241, -0.35079079782911415, 0.03119614413148595, -0.20234190679058947, -0.144508984975581, -0.033950101552081516, -0.006657503878472951, -0.06331784975040576, -0.29951285991560794, 0.05947002208117267, 0.0098705538709102, -0.006722366003769225, -0.06121474353331623, -0.020489750878588328, 0.0310616923319497, 0.025258259036867268, 0.12976011678431953, -0.0011611772893831648, 0.11284759595733264, -0.19507910768352932, -0.11737440209554766, 0.40585565586285344, -0.1557908467627291, -0.21338113382908291, 0.17662327412258963, -0.16091023212908928, -0.1722292440044212, 0.05438700459640602, 0.11987068173314991, 0.1906617427052095, -0.17552459329880518, 0.21367192783810454, 0.006932515984176305, 0.061209792295342375, 0.08158962462290094, 0.03598316036795009, 0.33437813806411776, 0.14162400136862335, 0.015425413895141462, 0.15538932859961843, -0.011150072015629247, -0.12613602897055962, -0.4163935749695219, -0.22918935301553073, -0.07014282028881255, 0.09327095648241711, -0.16683421938043844, -0.16502979493314593, 0.4238352680514599, 0.18942022292196334, 0.05815125740101111, 0.10089671274783604, 0.18724066282397714, 0.07028233932315148, 0.09795840669037967, 0.006425510979546556, 0.3196155998277767, 0.21920253272601886, 0.08388448159555616, -0.2379835832799817, -0.12461882524577708, 0.07217658152161487] |
711.1151 | Projections, Entropy and Sumsets | In this paper we have shall generalize Shearer's entropy inequality and its
recent extensions by Madiman and Tetali, and shall apply projection
inequalities to deduce extensions of some of the inequalities concerning sums
of sets of integers proved recently by Gyarmati, Matolcsi and Ruzsa. We shall
also discuss projection and entropy inequalities and their connections.
| math.CO math.NT math.PR | in this paper we have shall generalize shearers entropy inequality and its recent extensions by madiman and tetali and shall apply projection inequalities to deduce extensions of some of the inequalities concerning sums of sets of integers proved recently by gyarmati matolcsi and ruzsa we shall also discuss projection and entropy inequalities and their connections | [['in', 'this', 'paper', 'we', 'have', 'shall', 'generalize', 'shearers', 'entropy', 'inequality', 'and', 'its', 'recent', 'extensions', 'by', 'madiman', 'and', 'tetali', 'and', 'shall', 'apply', 'projection', 'inequalities', 'to', 'deduce', 'extensions', 'of', 'some', 'of', 'the', 'inequalities', 'concerning', 'sums', 'of', 'sets', 'of', 'integers', 'proved', 'recently', 'by', 'gyarmati', 'matolcsi', 'and', 'ruzsa', 'we', 'shall', 'also', 'discuss', 'projection', 'and', 'entropy', 'inequalities', 'and', 'their', 'connections']] | [-0.09016862442208962, 0.07106110927733508, -0.11021928069266405, 0.13133188327562742, -0.04336916374211962, -0.1565502756952562, 0.07841053801715712, 0.28059791635975917, -0.297944699972868, -0.2308068126778711, 0.173278369972567, -0.3549731297249144, -0.18470431688156994, 0.20480577918616208, -0.21311521728269078, 0.07474469881060279, 0.016351503963497552, -0.0008947576819495722, -0.12036470310677859, -0.34945762746713377, 0.3578324806622484, -0.03722492707046596, 0.1501105932984501, 0.18371736615967663, 0.06128094340251251, 0.030350478848611768, -0.09413188635794954, 0.02519300292161378, -0.2826707394454967, 0.19883496487216853, 0.2386092263527892, 0.21224775964563544, 0.2860079623758793, -0.39380332136696033, -0.14969627010551365, 0.18744632107290354, 0.11191317437385971, 0.032661744035695765, -0.05399409512491812, -0.3236452980474992, 0.03830362974920056, -0.16266131468794562, -0.16110816179584203, -0.18094623225995085, 0.0691945676480166, 0.08603211839429357, -0.23227519174529748, 0.08609055134584195, 0.15008888242935592, 0.0467012813039632, -0.042856166008013216, -0.14000146710737185, 0.0822861095043746, -0.026510349330915645, 0.054942735623229634, -0.013444615434855223, 0.023349852792241357, 0.014625130783216181, -0.22276564677330582, 0.23330707170746542, -0.014958550943993032, -0.2051165309057317, 0.13809135122732683, -0.1391672956672582, -0.2237918730486523, -0.07442709586837075, 0.09683983270078897, 0.11017065971920437, -0.09779597533739764, 0.17987036482557994, -0.14952966157685627, -0.007487527653574943, 0.19313768725842237, 0.07757848331874068, 0.03312783647667278, -0.036607388813387265, 0.10357630130496215, 0.22468217440288174, 0.0019919754259965635, -0.028737150081856684, -0.31442585916004395, -0.2350056386806748, -0.1702245523391122, 0.09003005705096505, -0.09367190502763895, -0.05963440864262256, 0.3309168215502392, 0.12200069905004718, 0.15307725427502936, 0.1417244519530372, 0.16215953289700502, 0.07127516723491929, 0.009541129291226918, 0.06390898383476518, 0.18705394094735808, 0.32026632330803706, 0.09125083674761382, -0.09616248021748933, 0.03374653050718321, 0.2068879794498736] |
711.1152 | Near-Infrared Mapping and Physical Properties of the Dwarf-Planet Ceres | We study the physical characteristics (shape, dimensions, spin axis
direction, albedo maps, mineralogy) of the dwarf-planet Ceres based on
high-angular resolution near-infrared observations. We analyze adaptive optics
J/H/K imaging observations of Ceres performed at Keck II Observatory in
September 2002 with an equivalent spatial resolution of ~50 km. The spectral
behavior of the main geological features present on Ceres is compared with
laboratory samples. Ceres' shape can be described by an oblate spheroid (a = b
= 479.7 +/- 2.3 km, c = 444.4 +/- 2.1 km) with EQJ2000.0 spin vector
coordinates RA = 288 +/- 5 deg. and DEC = +66 +/- 5 deg. Ceres sidereal period
is measured to be 9.0741 +/- 0.0001 h. We image surface features with diameters
in the 50-180 km range and an albedo contrast of ~6% with respect to the
average Ceres albedo. The spectral behavior of the brightest regions on Ceres
is consistent with phyllosilicates and carbonate compounds. Darker isolated
regions could be related to the presence of frost.
| astro-ph | we study the physical characteristics shape dimensions spin axis direction albedo maps mineralogy of the dwarfplanet ceres based on highangular resolution nearinfrared observations we analyze adaptive optics jhk imaging observations of ceres performed at keck ii observatory in september 2002 with an equivalent spatial resolution of 50 km the spectral behavior of the main geological features present on ceres is compared with laboratory samples ceres shape can be described by an oblate spheroid a b 4797 23 km c 4444 21 km with eqj20000 spin vector coordinates ra 288 5 deg and dec 66 5 deg ceres sidereal period is measured to be 90741 00001 h we image surface features with diameters in the 50180 km range and an albedo contrast of 6 with respect to the average ceres albedo the spectral behavior of the brightest regions on ceres is consistent with phyllosilicates and carbonate compounds darker isolated regions could be related to the presence of frost | [['we', 'study', 'the', 'physical', 'characteristics', 'shape', 'dimensions', 'spin', 'axis', 'direction', 'albedo', 'maps', 'mineralogy', 'of', 'the', 'dwarfplanet', 'ceres', 'based', 'on', 'highangular', 'resolution', 'nearinfrared', 'observations', 'we', 'analyze', 'adaptive', 'optics', 'jhk', 'imaging', 'observations', 'of', 'ceres', 'performed', 'at', 'keck', 'ii', 'observatory', 'in', 'september', '2002', 'with', 'an', 'equivalent', 'spatial', 'resolution', 'of', '50', 'km', 'the', 'spectral', 'behavior', 'of', 'the', 'main', 'geological', 'features', 'present', 'on', 'ceres', 'is', 'compared', 'with', 'laboratory', 'samples', 'ceres', 'shape', 'can', 'be', 'described', 'by', 'an', 'oblate', 'spheroid', 'a', 'b', '4797', '23', 'km', 'c', '4444', '21', 'km', 'with', 'eqj20000', 'spin', 'vector', 'coordinates', 'ra', '288', '5', 'deg', 'and', 'dec', '66', '5', 'deg', 'ceres', 'sidereal', 'period', 'is', 'measured', 'to', 'be', '90741', '00001', 'h', 'we', 'image', 'surface', 'features', 'with', 'diameters', 'in', 'the', '50180', 'km', 'range', 'and', 'an', 'albedo', 'contrast', 'of', '6', 'with', 'respect', 'to', 'the', 'average', 'ceres', 'albedo', 'the', 'spectral', 'behavior', 'of', 'the', 'brightest', 'regions', 'on', 'ceres', 'is', 'consistent', 'with', 'phyllosilicates', 'and', 'carbonate', 'compounds', 'darker', 'isolated', 'regions', 'could', 'be', 'related', 'to', 'the', 'presence', 'of', 'frost']] | [-0.049808725837858454, 0.14111973694628932, -0.08398474678397179, -0.002057086635050514, -0.059340206647832544, -0.08685943326920331, -0.05053641150044578, 0.4347562906722869, -0.1652388133424064, -0.38521665365833246, 0.12168504141013874, -0.30286865343129443, -0.05315203447375567, 0.15784859102399598, -0.13375404700036012, -0.020124724562535244, 0.09677620868784406, -0.06672906935695679, -0.05820292948584181, -0.20182155338942162, 0.1869124668184668, 0.10974196385622265, 0.15639562681016903, -0.03515809689978919, 0.09128618105765313, -0.06162842385200483, -0.04458442837874886, -0.04850111590518105, -0.21550671667341262, 0.08510178924808579, 0.23146278666212194, 0.08614261375304552, 0.10857770951584943, -0.3207601386986132, -0.1669259123414034, 0.012131747893328148, 0.10812910596329359, -0.025600545273552978, 0.02274644320244871, -0.31743882886104047, 0.0446659367531538, -0.12107915989453755, -0.2293653950605902, 0.05754644437017099, 0.08622015618659075, -0.01585469057993783, -0.2138106380979861, 0.10029580526564631, 0.028336910392728544, 0.25882098940351317, -0.15129497959729163, -0.20731992744990896, -0.08286694908033937, 0.0421317255635175, -0.012263545677846958, 0.06707454872497869, 0.16433685428853478, -0.04592679916250129, -0.04599168966974943, 0.372266933753065, -0.09608424955513328, -0.04134320031491018, 0.2009594452627484, -0.2433113340348486, -0.09101378415981608, 0.24184119437310483, 0.15457112541921708, 0.11872223673628703, -0.11418195107290821, 0.02608613699506555, -0.025540945465646444, 0.2952479218403178, 0.13907842443234497, 0.029293269516840095, 0.2674798340446526, 0.13782135016179733, 0.04424792932226292, 0.03407871029489944, -0.3557263919678066, -0.023899464064367836, -0.21674953609810121, -0.1023077417074913, -0.11412684142950082, 0.03606266341803055, -0.15492589539489635, -0.0373576843390061, 0.3639061122652023, 0.0992909484629279, 0.22609060150120527, 0.026696118144618888, 0.2561693814733336, 0.012797905300413408, 0.0889790334266558, 0.07284466957733515, 0.2851449233269499, 0.14452262123175447, 0.11990809636190533, -0.21051827135661075, 0.053445992705922936, 0.0141576245306961] |
711.1153 | Estimating the trace-free Ricci tensor in Ricci flow | An important and natural question in the analysis of Ricci flow singularity
formation in dimensions four and above is as follows: What are the weakest
conditions that provide control of the norm of the Riemann curvature tensor? In
this short note, we show that on a compact manifold, the trace-free Ricci
tensor is controlled in a precise fashion by the other components of the
irreducible decomposition of the curvature tensor, without any hypotheses on
the initial data.
| math.DG math.AP | an important and natural question in the analysis of ricci flow singularity formation in dimensions four and above is as follows what are the weakest conditions that provide control of the norm of the riemann curvature tensor in this short note we show that on a compact manifold the tracefree ricci tensor is controlled in a precise fashion by the other components of the irreducible decomposition of the curvature tensor without any hypotheses on the initial data | [['an', 'important', 'and', 'natural', 'question', 'in', 'the', 'analysis', 'of', 'ricci', 'flow', 'singularity', 'formation', 'in', 'dimensions', 'four', 'and', 'above', 'is', 'as', 'follows', 'what', 'are', 'the', 'weakest', 'conditions', 'that', 'provide', 'control', 'of', 'the', 'norm', 'of', 'the', 'riemann', 'curvature', 'tensor', 'in', 'this', 'short', 'note', 'we', 'show', 'that', 'on', 'a', 'compact', 'manifold', 'the', 'tracefree', 'ricci', 'tensor', 'is', 'controlled', 'in', 'a', 'precise', 'fashion', 'by', 'the', 'other', 'components', 'of', 'the', 'irreducible', 'decomposition', 'of', 'the', 'curvature', 'tensor', 'without', 'any', 'hypotheses', 'on', 'the', 'initial', 'data']] | [-0.18854449397896406, 0.1121113188823688, -0.11510036982839335, 0.06870426013370275, -0.09779698960180697, -0.1009860731080755, -0.10623750620364368, 0.3457668227712055, -0.265599191956851, -0.21579754488034683, 0.16373118646926693, -0.23024163820309104, -0.1449055989430129, 0.14870303046780747, -0.06390823980236983, -0.008874036698275573, 0.07143456612217736, 0.12076130048288698, -0.07436737079511989, -0.24271466958868718, 0.4618165373693329, 0.021999033561048955, 0.27017658082889273, 0.1200962495058775, 0.11950433469685882, -0.045734833000687425, -0.010473079386759888, 0.01173034832244376, -0.13797916179956027, 0.13563537555625782, 0.21350874783518095, 0.1434985545717857, 0.22661543731855882, -0.42595502455997003, -0.21728033066860267, 0.11168937501195189, 0.10125446454440425, 0.04799883097845625, -0.018317645485210535, -0.25648817533699725, 0.12526473533755242, -0.0854041688628011, -0.12161140853097638, -0.07173216461457989, 0.029548639915399737, -0.042758441264075894, -0.22671576260359255, 0.09304820694779227, 0.13541256423507417, 0.055583676359579934, -0.11785709751503808, -0.0973972360809128, -0.03359464355804897, 0.10852132695303722, 0.06883760406061185, 0.038745921359143475, 0.11043570934516656, -0.1481115416194276, -0.06277335674030246, 0.3509687166419122, -0.12552190339117153, -0.2564802925743453, 0.13444972382979348, -0.10774168757987874, -0.137839108566427, 0.06567927581173452, 0.14819380162622442, 0.15911405770616097, -0.09885310812841182, 0.10580614418269123, -0.05062580027605419, 0.12781333468564146, 0.08947026110919458, -0.021133088192285654, 0.16806560591492173, 0.11647427465476386, 0.14850924098355825, 0.13134361271422912, -0.010162555013916321, -0.060284962659919415, -0.3925346096905021, -0.21166608830635714, -0.20437909219740563, 0.12497794077060391, -0.1602563597620979, -0.15703726513311267, 0.4114959825483429, 0.0635349169470273, 0.21316784206859454, 0.07348308050642152, 0.31394192593341524, 0.05059667512345092, 0.0597237924646054, 0.08913402301682667, 0.2518559229112678, 0.1727070773848901, 0.08077727201358452, -0.17475506339778568, 0.021043894086758812, 0.09392696466635574] |
711.1154 | Bounds on the Simplest Little Higgs Model Mass Spectrum Through Z
Leptonic Decay | We derive the leptonic neutral current in the simplest little Higgs model and
compute the contribution of the model to the decay width $Z \to e^+e^-$. Using
the precision electroweak data we obtain a strong lower bound $f\geq 5.6$ TeV
at 95% C.L. on the characteristic energy scale of the model. It results in a
lower bound for the new gauge bosons $W^{\prime\pm}$ and $Z^{\prime}$ as being
$M_{W^{\prime\pm}}\geq 2.6$ TeV and $M_{Z^{\prime}}\geq 3.1$ TeV, respectively.
We also present the allowed values of the $k=f_1/f_2$ which is the parameter
relating the two vacuum expectation values of the scalar triplets in the model,
and the $\mu$ parameter of a quadratic term, involving the triplets, necessary
to provide an acceptable mass range for the standard Higgs boson.
| hep-ph | we derive the leptonic neutral current in the simplest little higgs model and compute the contribution of the model to the decay width z to ee using the precision electroweak data we obtain a strong lower bound fgeq 56 tev at 95 cl on the characteristic energy scale of the model it results in a lower bound for the new gauge bosons wprimepm and zprime as being m_wprimepmgeq 26 tev and m_zprimegeq 31 tev respectively we also present the allowed values of the kf_1f_2 which is the parameter relating the two vacuum expectation values of the scalar triplets in the model and the mu parameter of a quadratic term involving the triplets necessary to provide an acceptable mass range for the standard higgs boson | [['we', 'derive', 'the', 'leptonic', 'neutral', 'current', 'in', 'the', 'simplest', 'little', 'higgs', 'model', 'and', 'compute', 'the', 'contribution', 'of', 'the', 'model', 'to', 'the', 'decay', 'width', 'z', 'to', 'ee', 'using', 'the', 'precision', 'electroweak', 'data', 'we', 'obtain', 'a', 'strong', 'lower', 'bound', 'fgeq', '56', 'tev', 'at', '95', 'cl', 'on', 'the', 'characteristic', 'energy', 'scale', 'of', 'the', 'model', 'it', 'results', 'in', 'a', 'lower', 'bound', 'for', 'the', 'new', 'gauge', 'bosons', 'wprimepm', 'and', 'zprime', 'as', 'being', 'm_wprimepmgeq', '26', 'tev', 'and', 'm_zprimegeq', '31', 'tev', 'respectively', 'we', 'also', 'present', 'the', 'allowed', 'values', 'of', 'the', 'kf_1f_2', 'which', 'is', 'the', 'parameter', 'relating', 'the', 'two', 'vacuum', 'expectation', 'values', 'of', 'the', 'scalar', 'triplets', 'in', 'the', 'model', 'and', 'the', 'mu', 'parameter', 'of', 'a', 'quadratic', 'term', 'involving', 'the', 'triplets', 'necessary', 'to', 'provide', 'an', 'acceptable', 'mass', 'range', 'for', 'the', 'standard', 'higgs', 'boson']] | [-0.08818314850815256, 0.19312096516948582, -0.0035403993188534394, 0.16107676087874795, -0.05327836842726424, -0.16228118199231642, 0.08055404630094701, 0.2879392313347621, -0.19369742709061916, -0.3480931439952663, 0.04879722060526968, -0.26061278246035263, 0.007974158695414046, 0.1616574579191756, 0.08152783886829684, 0.049131175870901315, 0.018549128508672488, 0.06444602686654938, -0.05035979296407886, -0.2615491926000446, 0.27448083375857696, 0.07530392729869682, 0.2077769582690902, 0.11342430448405875, 0.08315431436019649, -0.021728698652976556, 0.007476655561919517, -0.09944253574579584, -0.18068541153449535, 0.110322219043516, 0.12713511944902398, 0.07730253116412411, 0.16179005162066912, -0.29635699428925827, -0.09667221527192588, 0.18296777241871007, 0.11957614022222432, 0.09270509506861029, -0.03519199877565588, -0.303722085927667, 0.11378251727043136, -0.18869375027254348, -0.10919057999733713, -0.016887187497875045, -0.02045167710108698, -0.10513096704524903, -0.3468923447345776, 0.121366044496569, -0.030612545395808773, 0.030047680215702262, -0.07540641308854495, -0.18410853116411316, -0.055666311278415856, 0.020610294693480594, 0.11842915415186589, 0.036309228520667224, 0.10641154345155747, -0.19174385730423466, -0.12700030732657452, 0.3724377197790737, -0.1472519217212954, -0.18955423417770542, 0.16511951622837953, -0.16846221529932554, -0.14390212897796276, 0.14060060332013555, 0.2006514027276007, 0.07147738883610476, -0.16607170007076144, 0.1939785017397193, -0.055372793481431225, 0.19235614482178698, 0.02054613989523866, 0.06541955245520212, 0.19261994130797838, 0.1468266138098826, 0.05542469807430979, 0.09308041039708047, -0.11960741801212411, -0.06798385184119679, -0.42521280521326815, -0.1467603491782788, -0.07688243495500531, 0.047412026256961705, -0.12876868428718222, -0.09984511755068194, 0.41996866870625327, 0.1432898991225549, 0.2953288820148869, 0.07584256257896489, 0.2657058199421187, 0.15606456407594055, 0.0679023718415213, 0.04803386876698245, 0.3374706256426563, 0.13227437100996656, 0.09777788776704226, -0.18782424727360494, -0.04159186393684469, 0.07053235421449808] |
711.1155 | L^2 Castelnuovo-de Franchis, the cup product lemma, and filtered ends of
Kaehler manifolds | Simple approaches to the proofs of the L^2 Castelnuovo-de Franchis theorem
and the cup product lemma which give new versions are developed. For example,
suppose u and v are two linearly independent closed holomorphic 1-forms on a
bounded geometry connected complete Kaehler manifold X with v in L^2. According
to a version of the L^2 Castelnuovo-de Franchis theorem obtained in this paper,
if u and v are pointwise linearly dependent, then there exists a surjective
proper holomorphic mapping of X onto a Riemann surface for which u and v are
pull-backs. Previous versions required both forms to be in L^2.
| math.DG math.CV | simple approaches to the proofs of the l2 castelnuovode franchis theorem and the cup product lemma which give new versions are developed for example suppose u and v are two linearly independent closed holomorphic 1forms on a bounded geometry connected complete kaehler manifold x with v in l2 according to a version of the l2 castelnuovode franchis theorem obtained in this paper if u and v are pointwise linearly dependent then there exists a surjective proper holomorphic mapping of x onto a riemann surface for which u and v are pullbacks previous versions required both forms to be in l2 | [['simple', 'approaches', 'to', 'the', 'proofs', 'of', 'the', 'l2', 'castelnuovode', 'franchis', 'theorem', 'and', 'the', 'cup', 'product', 'lemma', 'which', 'give', 'new', 'versions', 'are', 'developed', 'for', 'example', 'suppose', 'u', 'and', 'v', 'are', 'two', 'linearly', 'independent', 'closed', 'holomorphic', '1forms', 'on', 'a', 'bounded', 'geometry', 'connected', 'complete', 'kaehler', 'manifold', 'x', 'with', 'v', 'in', 'l2', 'according', 'to', 'a', 'version', 'of', 'the', 'l2', 'castelnuovode', 'franchis', 'theorem', 'obtained', 'in', 'this', 'paper', 'if', 'u', 'and', 'v', 'are', 'pointwise', 'linearly', 'dependent', 'then', 'there', 'exists', 'a', 'surjective', 'proper', 'holomorphic', 'mapping', 'of', 'x', 'onto', 'a', 'riemann', 'surface', 'for', 'which', 'u', 'and', 'v', 'are', 'pullbacks', 'previous', 'versions', 'required', 'both', 'forms', 'to', 'be', 'in', 'l2']] | [-0.16259251146984752, 0.05722558898851275, -0.048510198565199975, 0.042584555431967604, -0.08807131850160659, -0.18770253337919712, 0.00824378736433573, 0.3588081849180162, -0.3222023701481521, -0.15598939180374147, 0.10821589587256313, -0.28586916071129964, -0.10669456650037318, 0.2169769935682416, -0.13403873106464745, -0.00398205301258713, 0.08549524016678334, 0.08291199209168554, -0.11523229513084515, -0.27662749683484433, 0.39512201866135, -0.13950447195209562, 0.19525927966227755, 0.07940010468475521, 0.12288949637673795, 0.009829642251133919, -0.024149487214162945, -0.009341229035708238, -0.18000862399116158, 0.12948788164183497, 0.2623255914170295, 0.07381777200200304, 0.24729261363856495, -0.39001901526004074, -0.120297574751894, 0.1943591026030481, 0.08709314910578542, -0.06736221501836553, 0.01257684008567594, -0.2974297501146793, 0.10213907890487463, -0.08173746733227745, -0.14934886438772083, -0.09496499486267566, 0.11272875033551827, 0.050109709100797775, -0.2930615899059921, 0.026033018338494, 0.14900783534743822, 0.0447333965357393, -0.07867446466349065, -0.1290277139097452, -0.12066764381714165, 0.040984102668589914, 0.0008814457897096872, 0.18840004997327925, 0.06532191548496485, -0.008168461497407407, -0.0572341094724834, 0.31534774135332555, -0.12601285124197603, -0.28505946474149824, 0.12489350898191333, -0.11593542763032019, -0.1503955995570868, 0.06716995065798984, 0.10365330014377833, 0.17255612153559924, -0.0753392231836915, 0.22052713027922435, -0.09449035397730768, 0.08551690770313143, 0.11425227546598762, 0.0020562933385372163, 0.08083033836912364, 0.05674830162897706, 0.16121500330977143, 0.08216741092852317, 0.00031374232145026326, -0.003930935142561793, -0.4043066269159317, -0.13957508035935462, -0.12274592571659014, 0.17236965903081, -0.10113019128271844, -0.19476551092229782, 0.3451605844125152, -0.0010621734126470984, 0.20618984431261198, 0.10801051822258159, 0.2339965850242879, 0.09254637111909687, 0.014661790989339351, 0.12117621605284512, 0.12244340451434255, 0.2278639922197908, 0.023986178948543966, -0.07514128901995719, -0.049287652440834794, 0.21463948572563823] |
711.1156 | NMR Analog of Bell's Inequalities Violation Test | In this paper we present an analog of the Bell's inequalities violation test
for $N$ qubits to be performed in a nuclear magnetic resonance (NMR) quantum
computer. This can be used to simulate or predict results for different Bell's
inequalities tests, with distinct configurations and larger number of qubits.
To demonstrate our scheme, we implemented a simulation of the violation of
Clauser, Horne, Shimony and Holt (CHSH) inequality using a two qubit NMR system
and compared the results to those of a photon experiment. The experimental
results are well described by Quantum Mechanics theory and a Local Realistic
Hidden Variables model which was specially developed for NMR. That is why we
refer to this experiment as a {\it simulation} of the Bell's inequality
violation. Our result shows explicitly how both theories can be compatible to
each other due the detection loophole. In the last part of this work we discuss
the possibility of testing fundamental features of quantum mechanics using NMR
with highly polarized spins, where a strong discrepancy between quantum
mechanics and hidden variables models can be expected.
| quant-ph | in this paper we present an analog of the bells inequalities violation test for n qubits to be performed in a nuclear magnetic resonance nmr quantum computer this can be used to simulate or predict results for different bells inequalities tests with distinct configurations and larger number of qubits to demonstrate our scheme we implemented a simulation of the violation of clauser horne shimony and holt chsh inequality using a two qubit nmr system and compared the results to those of a photon experiment the experimental results are well described by quantum mechanics theory and a local realistic hidden variables model which was specially developed for nmr that is why we refer to this experiment as a it simulation of the bells inequality violation our result shows explicitly how both theories can be compatible to each other due the detection loophole in the last part of this work we discuss the possibility of testing fundamental features of quantum mechanics using nmr with highly polarized spins where a strong discrepancy between quantum mechanics and hidden variables models can be expected | [['in', 'this', 'paper', 'we', 'present', 'an', 'analog', 'of', 'the', 'bells', 'inequalities', 'violation', 'test', 'for', 'n', 'qubits', 'to', 'be', 'performed', 'in', 'a', 'nuclear', 'magnetic', 'resonance', 'nmr', 'quantum', 'computer', 'this', 'can', 'be', 'used', 'to', 'simulate', 'or', 'predict', 'results', 'for', 'different', 'bells', 'inequalities', 'tests', 'with', 'distinct', 'configurations', 'and', 'larger', 'number', 'of', 'qubits', 'to', 'demonstrate', 'our', 'scheme', 'we', 'implemented', 'a', 'simulation', 'of', 'the', 'violation', 'of', 'clauser', 'horne', 'shimony', 'and', 'holt', 'chsh', 'inequality', 'using', 'a', 'two', 'qubit', 'nmr', 'system', 'and', 'compared', 'the', 'results', 'to', 'those', 'of', 'a', 'photon', 'experiment', 'the', 'experimental', 'results', 'are', 'well', 'described', 'by', 'quantum', 'mechanics', 'theory', 'and', 'a', 'local', 'realistic', 'hidden', 'variables', 'model', 'which', 'was', 'specially', 'developed', 'for', 'nmr', 'that', 'is', 'why', 'we', 'refer', 'to', 'this', 'experiment', 'as', 'a', 'it', 'simulation', 'of', 'the', 'bells', 'inequality', 'violation', 'our', 'result', 'shows', 'explicitly', 'how', 'both', 'theories', 'can', 'be', 'compatible', 'to', 'each', 'other', 'due', 'the', 'detection', 'loophole', 'in', 'the', 'last', 'part', 'of', 'this', 'work', 'we', 'discuss', 'the', 'possibility', 'of', 'testing', 'fundamental', 'features', 'of', 'quantum', 'mechanics', 'using', 'nmr', 'with', 'highly', 'polarized', 'spins', 'where', 'a', 'strong', 'discrepancy', 'between', 'quantum', 'mechanics', 'and', 'hidden', 'variables', 'models', 'can', 'be', 'expected']] | [-0.07735119626581585, 0.13277746667877666, -0.0953161383461332, 0.083871075696853, -0.02993363192221722, -0.22070932185131661, 0.03645496415208463, 0.3023145732680575, -0.23392605701950508, -0.34612050462077115, 0.0628309891456426, -0.271018423977719, -0.12871634181427596, 0.23660732858018252, -0.04941968085223486, 0.09812925376684806, 0.04490853519329811, 0.0007480796486368225, -0.06522187821689977, -0.24946386965028108, 0.2577425342575255, 0.04869565508437639, 0.2719866123503105, 0.05996398197736737, 0.06278499302209756, -0.0027736009966176233, 0.039953246114348896, 0.04292839331625227, -0.0880454777970903, 0.12802610721298643, 0.2666838944771279, 0.15847053297915023, 0.22574083680838514, -0.4438925509512757, -0.18399515318262843, 0.12350701630458902, 0.09662314750092864, 0.16817686235071705, -0.04679305578696453, -0.36556805716047075, 0.029775666661544926, -0.16533716449087393, -0.11118790918867515, -0.1169393949064962, -0.040377079419448306, -0.032782404064382924, -0.28112554622491476, 0.1175985313124705, 0.047328465691684383, 0.06387688073735455, -0.0050398541767899385, -0.05364334561560282, 0.09541973395288698, 0.07567602065756043, 0.003733340664454554, 0.02586455517266383, 0.14325945010387947, -0.08333352702935148, -0.23318051678998727, 0.3486961372737778, -0.017367336870751256, -0.205665910217193, 0.16821555277676056, -0.1426224337458902, -0.1675037763539348, -0.002417147664259599, 0.12582552303461222, 0.11789096918675071, -0.14142337306428637, 0.04106103730692519, -0.08399600821271455, 0.22418364875965527, 0.03775296365717353, 0.06150818680147718, 0.1749402279939565, 0.11563666209620138, 0.0041605768928189854, 0.15593044347079033, -0.08014098475992877, -0.12213475866420143, -0.35465226950925155, -0.21634909941934508, -0.22476577951167007, 0.09524835135746101, -0.0485442431155669, -0.06657364608085188, 0.3633541092869015, 0.158716374923678, 0.14338016771326392, 0.0011866128978751309, 0.26221941202728066, 0.08624400599669749, 0.07476771027031849, 0.021821502414037727, 0.29394967530921684, 0.19452217987259882, 0.0871151626557528, -0.24035330682176076, 0.04924175436426391, 0.0008316371308941415] |
711.1157 | Toward a Unit Distance Embedding for the Heawood graph | The unit distance embeddability of a graph, like planarity, involves a mix of
constraints that are combinatorial and geometric. We construct a unit distance
embedding for $H-e$ in the hope that it will lead to an embedding for $H$. We
then investigate analytical methods for a general decision procedure for
testing unit distance embeddability.
| math.CO | the unit distance embeddability of a graph like planarity involves a mix of constraints that are combinatorial and geometric we construct a unit distance embedding for he in the hope that it will lead to an embedding for h we then investigate analytical methods for a general decision procedure for testing unit distance embeddability | [['the', 'unit', 'distance', 'embeddability', 'of', 'a', 'graph', 'like', 'planarity', 'involves', 'a', 'mix', 'of', 'constraints', 'that', 'are', 'combinatorial', 'and', 'geometric', 'we', 'construct', 'a', 'unit', 'distance', 'embedding', 'for', 'he', 'in', 'the', 'hope', 'that', 'it', 'will', 'lead', 'to', 'an', 'embedding', 'for', 'h', 'we', 'then', 'investigate', 'analytical', 'methods', 'for', 'a', 'general', 'decision', 'procedure', 'for', 'testing', 'unit', 'distance', 'embeddability']] | [-0.09005386231432634, 0.040952908731317926, -0.0864300273048381, 0.12163706984439934, -0.117671019880584, -0.157031765707803, 0.07153516817251565, 0.440357628657862, -0.34033751763679365, -0.2752428502016873, 0.12116893914450581, -0.2598919738429012, -0.12622348819341925, 0.1821896273780752, -0.11625498143473158, 0.00939562301047974, 0.10810960768894465, 0.06098816354103662, -0.08641507650099811, -0.2433153414970514, 0.34864820036347266, 0.024447849123842187, 0.2242058482952416, 0.06459257042216551, 0.09280915209954535, 0.049401850323192775, -0.007144775690027961, 0.09746300850787924, -0.20538143647314022, 0.1736293757782766, 0.20495429807515056, 0.22054951117132549, 0.2777191859980424, -0.39997348175556574, -0.1925115845580068, 0.1250669044545955, 0.12130423382580004, 0.04978535562339756, -0.06773233767253933, -0.20902660489082336, 0.06268297247071233, -0.0787459911123194, -0.055812824965903056, -0.06875916384160519, 0.06309484169577007, -0.03476912959013134, -0.3114966962624479, -0.034430735110719174, 0.11485681024862936, 0.017041224917327916, -0.055004956795730524, -0.07193370880688438, 0.027701459117923623, 0.14299061911663524, -0.051831411835909995, 0.08435859006864053, 0.058510559904216615, -0.06312414922716993, -0.13412504416407534, 0.3828056675416452, -0.003424716095819517, -0.24002835497743003, 0.158837269525975, -0.05665481140561126, -0.2220531761801491, 0.05925286292201943, 0.2014815325124396, 0.09222739164424301, -0.13558162243484898, 0.1260416760029599, -0.07492930014376287, 0.1222455386865746, 0.09690945437695417, 0.019316017939234844, 0.1746540462805165, 0.15467920001699692, 0.15201898112341208, 0.17421501288535418, -0.06485526842341104, -0.037008422763190336, -0.31925073036648055, -0.23813028961282084, -0.15418370476820403, 0.06259287386718723, -0.17103818227096107, -0.20753458125033863, 0.3403042090918731, 0.11902589413026969, 0.20580091925889807, 0.1510003787741341, 0.23775790700757946, 0.049740696895039745, 0.0672696446913674, 0.0657495500744079, 0.20063458062294456, 0.1437680353583009, -0.029343037391771323, -0.12942977594772215, 0.04736458793437729, 0.1628209008248868] |
711.1158 | Parsec-scale Magnetic-Field Structures in HEAO-1 BL Lacs | We present very long baseline interferometry polarization images of an X-ray
selected sample of BL Lacertae objects belonging to the first High Energy
Astronomy Observatory (HEAO-1) and the ROSAT-Green Bank (RGB) surveys. These
are primarily high-energy-peaked BL Lacs (HBLs) and exhibit core-jet radio
morphologies on pc-scales. They show moderately polarized jet components,
similar to those of low-energy-peaked BL Lacs (LBLs). The fractional
polarization in the unresolved cores of the HBLs is, on average, lower than in
the LBLs, while the fractional polarizations in the pc-scale jets of HBLs and
LBLs are comparable. However a difference is observed in the orientation of the
inferred jet magnetic fields -- while LBL jets are well-known to preferentially
exhibit transverse magnetic fields, the HBL jets tend to display longitudinal
magnetic fields. Although a `spine-sheath' jet velocity structure, along with
larger viewing angles for HBLs could produce the observed magnetic field
configuration, differences in other properties of LBLs and HBLs, such as their
total radio power, cannot be fully reconciled with the different-angle scenario
alone. Instead it appears that LBLs and HBLs differ intrinsically, perhaps in
the spin rates of their central black holes.
| astro-ph | we present very long baseline interferometry polarization images of an xray selected sample of bl lacertae objects belonging to the first high energy astronomy observatory heao1 and the rosatgreen bank rgb surveys these are primarily highenergypeaked bl lacs hbls and exhibit corejet radio morphologies on pcscales they show moderately polarized jet components similar to those of lowenergypeaked bl lacs lbls the fractional polarization in the unresolved cores of the hbls is on average lower than in the lbls while the fractional polarizations in the pcscale jets of hbls and lbls are comparable however a difference is observed in the orientation of the inferred jet magnetic fields while lbl jets are wellknown to preferentially exhibit transverse magnetic fields the hbl jets tend to display longitudinal magnetic fields although a spinesheath jet velocity structure along with larger viewing angles for hbls could produce the observed magnetic field configuration differences in other properties of lbls and hbls such as their total radio power cannot be fully reconciled with the differentangle scenario alone instead it appears that lbls and hbls differ intrinsically perhaps in the spin rates of their central black holes | [['we', 'present', 'very', 'long', 'baseline', 'interferometry', 'polarization', 'images', 'of', 'an', 'xray', 'selected', 'sample', 'of', 'bl', 'lacertae', 'objects', 'belonging', 'to', 'the', 'first', 'high', 'energy', 'astronomy', 'observatory', 'heao1', 'and', 'the', 'rosatgreen', 'bank', 'rgb', 'surveys', 'these', 'are', 'primarily', 'highenergypeaked', 'bl', 'lacs', 'hbls', 'and', 'exhibit', 'corejet', 'radio', 'morphologies', 'on', 'pcscales', 'they', 'show', 'moderately', 'polarized', 'jet', 'components', 'similar', 'to', 'those', 'of', 'lowenergypeaked', 'bl', 'lacs', 'lbls', 'the', 'fractional', 'polarization', 'in', 'the', 'unresolved', 'cores', 'of', 'the', 'hbls', 'is', 'on', 'average', 'lower', 'than', 'in', 'the', 'lbls', 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711.1159 | Entropy of String States at fixed Mass and Size | We provide formulas for the entropy of free-string states depending on their
mass, charges and size, both in bosonic and superstring theory (IIA or IIB). We
properly define these quantities in full-fledged string theory. We then
investigate the corrections to the entropy due to self-interactions of the
string for states with fixed mass, charge and size, both for BPS and non-BPS
configurations. Again, the analysis is performed using string theory
techniques.
| hep-th gr-qc | we provide formulas for the entropy of freestring states depending on their mass charges and size both in bosonic and superstring theory iia or iib we properly define these quantities in fullfledged string theory we then investigate the corrections to the entropy due to selfinteractions of the string for states with fixed mass charge and size both for bps and nonbps configurations again the analysis is performed using string theory techniques | [['we', 'provide', 'formulas', 'for', 'the', 'entropy', 'of', 'freestring', 'states', 'depending', 'on', 'their', 'mass', 'charges', 'and', 'size', 'both', 'in', 'bosonic', 'and', 'superstring', 'theory', 'iia', 'or', 'iib', 'we', 'properly', 'define', 'these', 'quantities', 'in', 'fullfledged', 'string', 'theory', 'we', 'then', 'investigate', 'the', 'corrections', 'to', 'the', 'entropy', 'due', 'to', 'selfinteractions', 'of', 'the', 'string', 'for', 'states', 'with', 'fixed', 'mass', 'charge', 'and', 'size', 'both', 'for', 'bps', 'and', 'nonbps', 'configurations', 'again', 'the', 'analysis', 'is', 'performed', 'using', 'string', 'theory', 'techniques']] | [-0.09515091830731502, 0.175126193237624, -0.07725261650380812, 0.1650762327364646, -0.006555369273493332, -0.13158722314983606, 0.089462431681542, 0.29662080191607987, -0.1576211337665362, -0.27912895897669454, 0.07931796210219286, -0.31265249739268, -0.09336811451773558, 0.13646173261305583, -0.05367551999993988, 0.054732737483988915, -0.01784475331327745, 0.08828745758136003, -0.11792885118297168, -0.26355544993254754, 0.36572049636327264, 0.0023068687479410855, 0.2823605627220656, 0.11086205383097487, 0.060391013297651494, 0.00908782669076962, -0.030803655434283428, 0.03693050247883158, -0.1804316047640376, 0.1262084399532926, 0.21139466313844812, 0.12993448660708964, 0.09833362007380596, -0.5182915956048029, -0.18051232168717044, 0.08692830886159625, 0.15344340947589705, 0.21337674959961858, -0.004215443814505956, -0.24177979745103845, 0.08927787212388856, -0.17799278761127166, -0.157558833089258, -0.12004622103912489, 0.06776875660621694, -0.033915235780711685, -0.23367254822182337, 0.07427511095468486, -0.03427403140813112, -0.006043635295437915, -0.09094715290037649, -0.07278211106978623, -0.09969201721916242, 0.11002272244077176, 0.12728694206037158, 0.014225403951214893, 0.13616785543438578, -0.19247100707143544, -0.170015775738284, 0.31905749663045363, -0.05317860964818725, -0.24814572515232222, 0.12833453923729912, -0.09484560538881591, -0.17600267199533326, 0.05648085769332413, 0.12419207155970591, 0.17492433766102686, -0.10493135564029217, 0.1933056509022468, 0.042881487948553905, 0.19094936900905202, 0.089692293400211, 0.12741798845651958, 0.29369291165577516, 0.09054624217429331, -0.0027572855087263245, 0.15077505463601223, -0.09108889948776258, -0.14817148270750685, -0.3754064228385687, -0.10366306002917035, -0.09355036145342248, 0.09926320539421535, -0.13507836606669507, -0.2269062566970076, 0.3250559076533786, 0.1011043698027996, 0.16978504809417894, 0.08175205049504126, 0.18695455497862504, 0.12871719719842076, 0.07083707342722587, 0.07461314342383828, 0.20513356183489254, 0.18763816407216447, 0.07811937538374747, -0.2847220787495774, -0.13613747793382833, 0.1917536677260484] |
711.116 | On rigidity and the isomorphism problem for tree braid groups | We solve the isomorphism problem for braid groups on trees with $n = 4$ or 5
strands. We do so in three main steps, each of which is interesting in its own
right. First, we establish some tools and terminology for dealing with
computations using the cohomology of tree braid groups, couching our discussion
in the language of differential forms. Second, we show that, given a tree braid
group $B_nT$ on $n = 4$ or 5 strands, $H^*(B_nT)$ is an exterior face algebra.
Finally, we prove that one may reconstruct the tree $T$ from a tree braid group
$B_nT$ for $n = 4$ or 5. Among other corollaries, this third step shows that,
when $n = 4$ or 5, tree braid groups $B_nT$ and trees $T$ (up to homeomorphism)
are in bijective correspondence. That such a bijection exists is not true for
higher dimensional spaces, and is an artifact of the 1-dimensionality of trees.
We end by stating the results for right-angled Artin groups corresponding to
the main theorems, some of which do not yet appear in the literature.
| math.GR math.AT | we solve the isomorphism problem for braid groups on trees with n 4 or 5 strands we do so in three main steps each of which is interesting in its own right first we establish some tools and terminology for dealing with computations using the cohomology of tree braid groups couching our discussion in the language of differential forms second we show that given a tree braid group b_nt on n 4 or 5 strands hb_nt is an exterior face algebra finally we prove that one may reconstruct the tree t from a tree braid group b_nt for n 4 or 5 among other corollaries this third step shows that when n 4 or 5 tree braid groups b_nt and trees t up to homeomorphism are in bijective correspondence that such a bijection exists is not true for higher dimensional spaces and is an artifact of the 1dimensionality of trees we end by stating the results for rightangled artin groups corresponding to the main theorems some of which do not yet appear in the literature | [['we', 'solve', 'the', 'isomorphism', 'problem', 'for', 'braid', 'groups', 'on', 'trees', 'with', 'n', '4', 'or', '5', 'strands', 'we', 'do', 'so', 'in', 'three', 'main', 'steps', 'each', 'of', 'which', 'is', 'interesting', 'in', 'its', 'own', 'right', 'first', 'we', 'establish', 'some', 'tools', 'and', 'terminology', 'for', 'dealing', 'with', 'computations', 'using', 'the', 'cohomology', 'of', 'tree', 'braid', 'groups', 'couching', 'our', 'discussion', 'in', 'the', 'language', 'of', 'differential', 'forms', 'second', 'we', 'show', 'that', 'given', 'a', 'tree', 'braid', 'group', 'b_nt', 'on', 'n', '4', 'or', '5', 'strands', 'hb_nt', 'is', 'an', 'exterior', 'face', 'algebra', 'finally', 'we', 'prove', 'that', 'one', 'may', 'reconstruct', 'the', 'tree', 't', 'from', 'a', 'tree', 'braid', 'group', 'b_nt', 'for', 'n', '4', 'or', '5', 'among', 'other', 'corollaries', 'this', 'third', 'step', 'shows', 'that', 'when', 'n', '4', 'or', '5', 'tree', 'braid', 'groups', 'b_nt', 'and', 'trees', 't', 'up', 'to', 'homeomorphism', 'are', 'in', 'bijective', 'correspondence', 'that', 'such', 'a', 'bijection', 'exists', 'is', 'not', 'true', 'for', 'higher', 'dimensional', 'spaces', 'and', 'is', 'an', 'artifact', 'of', 'the', '1dimensionality', 'of', 'trees', 'we', 'end', 'by', 'stating', 'the', 'results', 'for', 'rightangled', 'artin', 'groups', 'corresponding', 'to', 'the', 'main', 'theorems', 'some', 'of', 'which', 'do', 'not', 'yet', 'appear', 'in', 'the', 'literature']] | [-0.13758836561447882, 0.13573844924739378, -0.07075110801382561, 0.0872128642119758, -0.08834087428491498, -0.16287825825069682, 0.05601765894239521, 0.3847051883611634, -0.31610807899730226, -0.3076142018951605, 0.13136621304542753, -0.2922427927203089, -0.15352129328234196, 0.18197987273717675, -0.12446038663586483, -0.03675391842144127, 0.06575767264426874, 0.13256254911320445, -0.058984161109658165, -0.2920131341344273, 0.36338297773497125, -0.06380318578351504, 0.19706134592732039, 0.016343698466756526, 0.08891979651525617, -0.0057533549910648105, -0.06161439817969423, -0.008075306041306154, -0.119991739094291, 0.08418949067826798, 0.3066043847017098, 0.10479662538172321, 0.19592460647839083, -0.3935357492815466, -0.09200434309748039, 0.15151806669363568, 0.17887920020363493, 0.0817368967294413, -0.03587202196187108, -0.2132853576267472, 0.13606631961473495, -0.14804564687191923, -0.11011785034337915, -0.01233849530592776, 0.06972991026442692, -0.037418572121768155, -0.2134902039980193, -0.006267348515688081, 0.12818824958777583, 0.09103204596873825, -0.016615092345901007, -0.16086808084025764, -0.021428625036106375, 0.16780651040927702, -0.021645846064755964, 0.04702483182449992, 0.07765525145822263, -0.09731733512505654, -0.17813168176735153, 0.37327755073548397, -0.024988908460969374, -0.2006401075211736, 0.18462167674745567, -0.1839937069709009, -0.2658738967971984, 0.09453650203808023, 0.06645870615722817, 0.1129096137235921, -0.06248825166609631, 0.11906400433172219, -0.1095413490645372, 0.14643248657809, 0.13489024861476173, -0.08720355028168142, 0.11161064490880494, 0.11504032035799686, 0.10974243969920312, 0.13203481158592895, 0.012368160805993343, -6.522581814330695e-05, -0.31874480716496534, -0.21144635391265498, -0.10720078306773279, 0.060033432621427414, -0.13907383876488305, -0.16696261211346858, 0.3427626171789934, 0.11221400174114454, 0.1691073457565094, 0.16347871950526072, 0.21014180807383312, 0.028869621356750027, 0.06958887009172178, 0.08791262311107248, 0.08954502304785783, 0.17651683313508298, -0.03047844908009095, -0.10982092797794551, -0.002974183207466617, 0.17924921133830024] |
711.1161 | Joint Source-Channel Codes for MIMO Block Fading Channels | We consider transmission of a continuous amplitude source over an L-block
Rayleigh fading $M_t \times M_r$ MIMO channel when the channel state
information is only available at the receiver. Since the channel is not
ergodic, Shannon's source-channel separation theorem becomes obsolete and the
optimal performance requires a joint source -channel approach. Our goal is to
minimize the expected end-to-end distortion, particularly in the high SNR
regime. The figure of merit is the distortion exponent, defined as the
exponential decay rate of the expected distortion with increasing SNR. We
provide an upper bound and lower bounds for the distortion exponent with
respect to the bandwidth ratio among the channel and source bandwidths. For the
lower bounds, we analyze three different strategies based on layered source
coding concatenated with progressive, superposition or hybrid digital/analog
transmission. In each case, by adjusting the system parameters we optimize the
distortion exponent as a function of the bandwidth ratio. We prove that the
distortion exponent upper bound can be achieved when the channel has only one
degree of freedom, that is L=1, and $\min\{M_t,M_r\}=1$. When we have more
degrees of freedom, our achievable distortion exponents meet the upper bound
for only certain ranges of the bandwidth ratio. We demonstrate that our
results, which were derived for a complex Gaussian source, can be extended to
more general source distributions as well.
| cs.IT math.IT | we consider transmission of a continuous amplitude source over an lblock rayleigh fading m_t times m_r mimo channel when the channel state information is only available at the receiver since the channel is not ergodic shannons sourcechannel separation theorem becomes obsolete and the optimal performance requires a joint source channel approach our goal is to minimize the expected endtoend distortion particularly in the high snr regime the figure of merit is the distortion exponent defined as the exponential decay rate of the expected distortion with increasing snr we provide an upper bound and lower bounds for the distortion exponent with respect to the bandwidth ratio among the channel and source bandwidths for the lower bounds we analyze three different strategies based on layered source coding concatenated with progressive superposition or hybrid digitalanalog transmission in each case by adjusting the system parameters we optimize the distortion exponent as a function of the bandwidth ratio we prove that the distortion exponent upper bound can be achieved when the channel has only one degree of freedom that is l1 and minm_tm_r1 when we have more degrees of freedom our achievable distortion exponents meet the upper bound for only certain ranges of the bandwidth ratio we demonstrate that our results which were derived for a complex gaussian source can be extended to more general source distributions as well | [['we', 'consider', 'transmission', 'of', 'a', 'continuous', 'amplitude', 'source', 'over', 'an', 'lblock', 'rayleigh', 'fading', 'm_t', 'times', 'm_r', 'mimo', 'channel', 'when', 'the', 'channel', 'state', 'information', 'is', 'only', 'available', 'at', 'the', 'receiver', 'since', 'the', 'channel', 'is', 'not', 'ergodic', 'shannons', 'sourcechannel', 'separation', 'theorem', 'becomes', 'obsolete', 'and', 'the', 'optimal', 'performance', 'requires', 'a', 'joint', 'source', 'channel', 'approach', 'our', 'goal', 'is', 'to', 'minimize', 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711.1162 | The formation of ultra-compact dwarf galaxies and nucleated dwarf
galaxies | Ultra compact dwarf galaxies (UCDs) have similar properties as massive
globular clusters or the nuclei of nucleated galaxies. Recent observations
suggesting a high dark matter content and a steep spatial distribution within
groups and clusters provide new clues as to their origins. We perform
high-resolution N-body / smoothed particle hydrodynamics simulations designed
to elucidate two possible formation mechanisms for these systems: the merging
of globular clusters in the centre of a dark matter halo, or the massively
stripped remnant of a nucleated galaxy. Both models produce density profiles as
well as the half light radii that can fit the observational constraints.
However, we show that the first scenario results to UCDs that are underluminous
and contain no dark matter. This is because the sinking process ejects most of
the dark matter particles from the halo centre. Stripped nuclei give a more
promising explanation, especially if the nuclei form via the sinking of gas,
funneled down inner galactic bars, since this process enhances the central dark
matter content. Even when the entire disk is tidally stripped away, the nucleus
stays intact and can remain dark matter dominated even after severe stripping.
Total galaxy disruption beyond the nuclei only occurs on certain orbits and
depends on the amount of dissipation during nuclei formation. By comparing the
total disruption of CDM subhaloes in a cluster potential we demonstrate that
this model also leads to the observed spatial distribution of UCDs which can be
tested in more detail with larger data sets.
| astro-ph | ultra compact dwarf galaxies ucds have similar properties as massive globular clusters or the nuclei of nucleated galaxies recent observations suggesting a high dark matter content and a steep spatial distribution within groups and clusters provide new clues as to their origins we perform highresolution nbody smoothed particle hydrodynamics simulations designed to elucidate two possible formation mechanisms for these systems the merging of globular clusters in the centre of a dark matter halo or the massively stripped remnant of a nucleated galaxy both models produce density profiles as well as the half light radii that can fit the observational constraints however we show that the first scenario results to ucds that are underluminous and contain no dark matter this is because the sinking process ejects most of the dark matter particles from the halo centre stripped nuclei give a more promising explanation especially if the nuclei form via the sinking of gas funneled down inner galactic bars since this process enhances the central dark matter content even when the entire disk is tidally stripped away the nucleus stays intact and can remain dark matter dominated even after severe stripping total galaxy disruption beyond the nuclei only occurs on certain orbits and depends on the amount of dissipation during nuclei formation by comparing the total disruption of cdm subhaloes in a cluster potential we demonstrate that this model also leads to the observed spatial distribution of ucds which can be tested in more detail with larger data sets | [['ultra', 'compact', 'dwarf', 'galaxies', 'ucds', 'have', 'similar', 'properties', 'as', 'massive', 'globular', 'clusters', 'or', 'the', 'nuclei', 'of', 'nucleated', 'galaxies', 'recent', 'observations', 'suggesting', 'a', 'high', 'dark', 'matter', 'content', 'and', 'a', 'steep', 'spatial', 'distribution', 'within', 'groups', 'and', 'clusters', 'provide', 'new', 'clues', 'as', 'to', 'their', 'origins', 'we', 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711.1163 | Implications for the Origin of GRB 070201 from LIGO Observations | We analyzed the available LIGO data coincident with GRB 070201, a short
duration hard spectrum gamma-ray burst whose electromagnetically determined sky
position is coincident with the spiral arms of the Andromeda galaxy (M31).
Possible progenitors of such short hard GRBs include mergers of neutron stars
or a neutron star and black hole, or soft gamma-ray repeater (SGR) flares.
These events can be accompanied by gravitational-wave emission. No plausible
gravitational wave candidates were found within a 180 s long window around the
time of GRB 070201. This result implies that a compact binary progenitor of GRB
070201, with masses in the range 1 M_sun < m_1 < 3 M_sun and 1 M_sun < m_2 < 40
M_sun, located in M31 is excluded at >99% confidence. Indeed, if GRB 070201
were caused by a binary neutron star merger, we find that D < 3.5 Mpc is
excluded, assuming random inclination, at 90% confidence. The result also
implies that an unmodeled gravitational wave burst from GRB 070201 most
probably emitted less than 4.4 x 10^(-4) M_sun c^2 (7.9 x 10^(50) ergs) in any
100 ms long period within the signal region if the source was in M31 and
radiated isotropically at the same frequency as LIGO's peak sensitivity (f ~
150 Hz). This upper limit does not exclude current models of SGRs at the M31
distance.
| astro-ph gr-qc | we analyzed the available ligo data coincident with grb 070201 a short duration hard spectrum gammaray burst whose electromagnetically determined sky position is coincident with the spiral arms of the andromeda galaxy m31 possible progenitors of such short hard grbs include mergers of neutron stars or a neutron star and black hole or soft gammaray repeater sgr flares these events can be accompanied by gravitationalwave emission no plausible gravitational wave candidates were found within a 180 s long window around the time of grb 070201 this result implies that a compact binary progenitor of grb 070201 with masses in the range 1 m_sun m_1 3 m_sun and 1 m_sun m_2 40 m_sun located in m31 is excluded at 99 confidence indeed if grb 070201 were caused by a binary neutron star merger we find that d 35 mpc is excluded assuming random inclination at 90 confidence the result also implies that an unmodeled gravitational wave burst from grb 070201 most probably emitted less than 44 x 104 m_sun c2 79 x 1050 ergs in any 100 ms long period within the signal region if the source was in m31 and radiated isotropically at the same frequency as ligos peak sensitivity f 150 hz this upper limit does not exclude current models of sgrs at the m31 distance | [['we', 'analyzed', 'the', 'available', 'ligo', 'data', 'coincident', 'with', 'grb', '070201', 'a', 'short', 'duration', 'hard', 'spectrum', 'gammaray', 'burst', 'whose', 'electromagnetically', 'determined', 'sky', 'position', 'is', 'coincident', 'with', 'the', 'spiral', 'arms', 'of', 'the', 'andromeda', 'galaxy', 'm31', 'possible', 'progenitors', 'of', 'such', 'short', 'hard', 'grbs', 'include', 'mergers', 'of', 'neutron', 'stars', 'or', 'a', 'neutron', 'star', 'and', 'black', 'hole', 'or', 'soft', 'gammaray', 'repeater', 'sgr', 'flares', 'these', 'events', 'can', 'be', 'accompanied', 'by', 'gravitationalwave', 'emission', 'no', 'plausible', 'gravitational', 'wave', 'candidates', 'were', 'found', 'within', 'a', 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711.1164 | Hypervelocity A & B Stars should be slow rotators | The most commonly accepted explanation for the origin of hypervelocity stars
in the halo of the Milky Way is that they are the result of tidal disruption of
binaries by the massive black hole at the center of the Galaxy. We show that,
if this scenario is correct, and if the original binary properties are similar
to those in the local stellar neighbourhood, then the hypervelocity stars
should rotate with velocities measureably lower than those for field stars of
similar spectral type. This may prove to be a more direct test of the model
than trying to predict the position and velocity distributions.
| astro-ph | the most commonly accepted explanation for the origin of hypervelocity stars in the halo of the milky way is that they are the result of tidal disruption of binaries by the massive black hole at the center of the galaxy we show that if this scenario is correct and if the original binary properties are similar to those in the local stellar neighbourhood then the hypervelocity stars should rotate with velocities measureably lower than those for field stars of similar spectral type this may prove to be a more direct test of the model than trying to predict the position and velocity distributions | [['the', 'most', 'commonly', 'accepted', 'explanation', 'for', 'the', 'origin', 'of', 'hypervelocity', 'stars', 'in', 'the', 'halo', 'of', 'the', 'milky', 'way', 'is', 'that', 'they', 'are', 'the', 'result', 'of', 'tidal', 'disruption', 'of', 'binaries', 'by', 'the', 'massive', 'black', 'hole', 'at', 'the', 'center', 'of', 'the', 'galaxy', 'we', 'show', 'that', 'if', 'this', 'scenario', 'is', 'correct', 'and', 'if', 'the', 'original', 'binary', 'properties', 'are', 'similar', 'to', 'those', 'in', 'the', 'local', 'stellar', 'neighbourhood', 'then', 'the', 'hypervelocity', 'stars', 'should', 'rotate', 'with', 'velocities', 'measureably', 'lower', 'than', 'those', 'for', 'field', 'stars', 'of', 'similar', 'spectral', 'type', 'this', 'may', 'prove', 'to', 'be', 'a', 'more', 'direct', 'test', 'of', 'the', 'model', 'than', 'trying', 'to', 'predict', 'the', 'position', 'and', 'velocity', 'distributions']] | [-0.07329040474838157, 0.11759848937428757, -0.11968434725741983, 0.15281966776020972, -0.13786142794232742, -0.03724053125445019, 0.024254631109572218, 0.3649538044507305, -0.19576849827346593, -0.3417943894370076, 0.012033581754247494, -0.2954591808877155, -0.059392343686126614, 0.2333517653625641, -0.08277268053087242, -0.021593056168343287, 0.08659394919032268, 0.06783897237961783, -0.05328404577563097, -0.27637848950118993, 0.3342114747867134, 0.05626883070605496, 0.13961594864068663, -0.08978570922843966, 0.014480551412584735, -0.07013882586604678, -0.001457997958413234, 0.002411144283399278, -0.12954908822204886, 0.067885952086334, 0.19061386292142904, 0.15991690761966668, 0.2356881654830467, -0.3842186371558437, -0.2180380825702028, 0.10359144182053998, 0.1818578870346149, 0.1186050895838907, -0.08220739016499412, -0.24846539544694893, 0.18689054134758373, -0.1896768293991758, -0.20414722195424723, 0.04514751214460999, 0.06185457966970645, 0.061929937415555414, -0.21192317341874337, 0.1150816392927321, 0.09592610421846164, 0.0011081183603142992, -0.11181711230892688, -0.09531793999599804, -0.0727998179922282, 0.0819700376733261, 0.07836403708115183, 0.05646924334395604, 0.1514395738760119, -0.1373485943494255, -0.038416837609153896, 0.45239672829926597, -0.04778935762684947, -0.08703421376526867, 0.24770324751186898, -0.24477986610202374, -0.1307807279472221, 0.062069308683824015, 0.1461480023047211, 0.1575531725219323, -0.19028409645326583, -0.01893598096121066, -0.04897891971574841, 0.1433797510906908, 0.0723830379805911, 0.04974473880243821, 0.33268851077403216, 0.08993317218732509, 0.07150453572873683, 0.06816720521401651, -0.16459879942019195, -0.0488975810562717, -0.2390605364652241, -0.1502761534807802, -0.13383148319781848, 0.0419661234972962, -0.12964328584619614, -0.13701336314974755, 0.3419467206386959, 0.1506178028340561, 0.2286157734399917, 0.038060736751147344, 0.2964756875755448, 0.1134768077902788, 0.11112509210600846, 0.1346498847774723, 0.3365849211958109, 0.1382144312305814, 0.03312688770101351, -0.2074425175156006, 0.11964340260088005, 0.04015908920772228] |
711.1165 | Foundations of multiple black hole evolutions | We present techniques for long-term, stable, and accurate evolutions of
multiple-black-hole spacetimes using the `moving puncture' approach with
fourth- and eighth-order finite difference stencils. We use these techniques to
explore configurations of three black holes in a hierarchical system consisting
of a third black hole approaching a quasi-circular black-hole binary, and find
that, depending on the size of the binary, the resulting encounter may lead to
a prompt merger of all three black holes, production of a highly elliptical
binary (with the third black hole remaining unbound), or disruption of the
binary (leading to three free black holes). We also analyze the classical
Burrau three-body problem using full numerical evolutions. In both cases, we
find behaviors distinctly different from Newtonian predictions, which has
important implications for N-body black-hole simulations. For our simulations
we use analytic approximate data. We find that the eighth-order stencils
significantly reduce the numerical errors for our choice of grid sizes, and
that the approximate initial data produces the expected waveforms (after a
rescaling of the puncture masses) for black-hole binaries with modest initial
separations.
| gr-qc astro-ph | we present techniques for longterm stable and accurate evolutions of multipleblackhole spacetimes using the moving puncture approach with fourth and eighthorder finite difference stencils we use these techniques to explore configurations of three black holes in a hierarchical system consisting of a third black hole approaching a quasicircular blackhole binary and find that depending on the size of the binary the resulting encounter may lead to a prompt merger of all three black holes production of a highly elliptical binary with the third black hole remaining unbound or disruption of the binary leading to three free black holes we also analyze the classical burrau threebody problem using full numerical evolutions in both cases we find behaviors distinctly different from newtonian predictions which has important implications for nbody blackhole simulations for our simulations we use analytic approximate data we find that the eighthorder stencils significantly reduce the numerical errors for our choice of grid sizes and that the approximate initial data produces the expected waveforms after a rescaling of the puncture masses for blackhole binaries with modest initial separations | [['we', 'present', 'techniques', 'for', 'longterm', 'stable', 'and', 'accurate', 'evolutions', 'of', 'multipleblackhole', 'spacetimes', 'using', 'the', 'moving', 'puncture', 'approach', 'with', 'fourth', 'and', 'eighthorder', 'finite', 'difference', 'stencils', 'we', 'use', 'these', 'techniques', 'to', 'explore', 'configurations', 'of', 'three', 'black', 'holes', 'in', 'a', 'hierarchical', 'system', 'consisting', 'of', 'a', 'third', 'black', 'hole', 'approaching', 'a', 'quasicircular', 'blackhole', 'binary', 'and', 'find', 'that', 'depending', 'on', 'the', 'size', 'of', 'the', 'binary', 'the', 'resulting', 'encounter', 'may', 'lead', 'to', 'a', 'prompt', 'merger', 'of', 'all', 'three', 'black', 'holes', 'production', 'of', 'a', 'highly', 'elliptical', 'binary', 'with', 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711.1166 | Lagrangean stability of slow dynamos in compact 3D Riemannian manifolds | Modifications on a recently introduced fast dynamo operator by Chiconne et al
[Comm Math Phys 173, 379 (1995)] in compact 3D Riemannian manifolds allows us
to shown that slow dynamos are Lagrangean stable, in the sense that the
sectional curvature of the Riemann manifold vanishes. The stability of the
holonomic filament in this manifold will depend upon the sign of the second
derivative of the pressure along the filament and in the non-holonomic case, to
the normal pressure of the filament. Lagrangean instability is also
investigated in this case and again an dynamo operator can be defined in this
case. Negative curvature (Anosov flows) dynamos are also discussed in their
stability aspects.
| astro-ph | modifications on a recently introduced fast dynamo operator by chiconne et al comm math phys 173 379 1995 in compact 3d riemannian manifolds allows us to shown that slow dynamos are lagrangean stable in the sense that the sectional curvature of the riemann manifold vanishes the stability of the holonomic filament in this manifold will depend upon the sign of the second derivative of the pressure along the filament and in the nonholonomic case to the normal pressure of the filament lagrangean instability is also investigated in this case and again an dynamo operator can be defined in this case negative curvature anosov flows dynamos are also discussed in their stability aspects | [['modifications', 'on', 'a', 'recently', 'introduced', 'fast', 'dynamo', 'operator', 'by', 'chiconne', 'et', 'al', 'comm', 'math', 'phys', '173', '379', '1995', 'in', 'compact', '3d', 'riemannian', 'manifolds', 'allows', 'us', 'to', 'shown', 'that', 'slow', 'dynamos', 'are', 'lagrangean', 'stable', 'in', 'the', 'sense', 'that', 'the', 'sectional', 'curvature', 'of', 'the', 'riemann', 'manifold', 'vanishes', 'the', 'stability', 'of', 'the', 'holonomic', 'filament', 'in', 'this', 'manifold', 'will', 'depend', 'upon', 'the', 'sign', 'of', 'the', 'second', 'derivative', 'of', 'the', 'pressure', 'along', 'the', 'filament', 'and', 'in', 'the', 'nonholonomic', 'case', 'to', 'the', 'normal', 'pressure', 'of', 'the', 'filament', 'lagrangean', 'instability', 'is', 'also', 'investigated', 'in', 'this', 'case', 'and', 'again', 'an', 'dynamo', 'operator', 'can', 'be', 'defined', 'in', 'this', 'case', 'negative', 'curvature', 'anosov', 'flows', 'dynamos', 'are', 'also', 'discussed', 'in', 'their', 'stability', 'aspects']] | [-0.18445229296140406, 0.13832717056311183, -0.05520061857742467, 0.04908634580227102, -0.11853048446177093, -0.06996152666187636, -0.039807764288910606, 0.34040032432892836, -0.23638798082971038, -0.261244422143644, 0.08785374144192885, -0.20314028207435553, -0.1839929779001453, 0.18657269094323925, -0.15284121093164021, 0.032249099628471244, 0.03358239003431958, 0.026648870052618755, -0.06439371252231099, -0.26170600195591515, 0.3623415867521151, 0.0949218959740556, 0.2486225481119913, 0.055628945052556625, 0.08642934340782263, -0.07557982767235723, -0.003227861061155259, 0.031807897180352394, -0.1761938879487413, 0.03833208912731828, 0.1971401133163421, 0.018309827101089665, 0.2357683159885005, -0.41551228006043145, -0.23620423134248536, 0.06855030421603907, 0.11921437263807601, 0.028741634861977252, 0.000175247609674058, -0.3050495882451467, 0.07960824420290731, -0.12248425135758144, -0.1713891086873372, -0.08425965593070597, 0.07956179542685146, -0.008349465122362515, -0.22230749189652302, 0.11922319867671258, 0.13463469821464707, 0.061887048453361064, -0.11829602850552833, -0.06590995596939916, -0.10540228622319463, 0.03345740713632187, 0.07405350961185454, 0.07725387071636883, 0.15094388340183468, -0.06446814092153029, -0.07736564814092105, 0.32484708964690434, -0.08069769354738496, -0.26175414694017973, 0.1738677940893549, -0.13558730716724787, -0.15489275368068972, 0.1281883930921656, 0.1644406450643867, 0.16531731815891224, -0.07735544198553439, 0.1442034020757739, -0.04143984405206399, 0.06647881804881534, 0.11866984120360366, -0.09745495308291267, 0.14299011646627305, 0.10302351556114249, 0.10968923513454527, 0.08787090157741798, -0.06741014987163178, -0.13069435449679978, -0.3130782976796901, -0.19303280145437499, -0.11987177172711387, 0.08842811593366368, -0.06530275301318741, -0.16454306549915984, 0.3895915009182047, 0.07693475378081538, 0.18436162466149744, 0.021452782106132724, 0.23164635545339202, 0.10212916034894685, 0.018175156180839147, 0.17216946406558425, 0.33289184125962556, 0.2507630209669236, 0.17012550546326213, -0.22382124185143668, -0.022182903504250822, 0.12020559555028675] |
711.1167 | The Dust Content of Galaxy Clusters | We report on the detection of reddening toward z ~ 0.2 galaxy clusters. This
is measured by correlating the Sloan Digital Sky Survey cluster and quasar
catalogs and by comparing the photometric and spectroscopic properties of
quasars behind the clusters to those in the field. We find mean E(B-V) values
of a few times 10^-3 mag for sight lines passing ~Mpc from the clusters'
center. The reddening curve is typical of dust but cannot be used to
distinguish between different dust types. The radial dependence of the
extinction is shallow near the cluster center suggesting that most of the
detected dust lies at the outskirts of the clusters. Gravitational
magnification of background z ~ 1.7 sources seen on Mpc (projected) scales
around the clusters is found to be of order a few per cent, in qualitative
agreement with theoretical predictions. Contamination by different spectral
properties of the lensed quasar population is unlikely but cannot be excluded.
| astro-ph | we report on the detection of reddening toward z 02 galaxy clusters this is measured by correlating the sloan digital sky survey cluster and quasar catalogs and by comparing the photometric and spectroscopic properties of quasars behind the clusters to those in the field we find mean ebv values of a few times 103 mag for sight lines passing mpc from the clusters center the reddening curve is typical of dust but cannot be used to distinguish between different dust types the radial dependence of the extinction is shallow near the cluster center suggesting that most of the detected dust lies at the outskirts of the clusters gravitational magnification of background z 17 sources seen on mpc projected scales around the clusters is found to be of order a few per cent in qualitative agreement with theoretical predictions contamination by different spectral properties of the lensed quasar population is unlikely but cannot be excluded | [['we', 'report', 'on', 'the', 'detection', 'of', 'reddening', 'toward', 'z', '02', 'galaxy', 'clusters', 'this', 'is', 'measured', 'by', 'correlating', 'the', 'sloan', 'digital', 'sky', 'survey', 'cluster', 'and', 'quasar', 'catalogs', 'and', 'by', 'comparing', 'the', 'photometric', 'and', 'spectroscopic', 'properties', 'of', 'quasars', 'behind', 'the', 'clusters', 'to', 'those', 'in', 'the', 'field', 'we', 'find', 'mean', 'ebv', 'values', 'of', 'a', 'few', 'times', '103', 'mag', 'for', 'sight', 'lines', 'passing', 'mpc', 'from', 'the', 'clusters', 'center', 'the', 'reddening', 'curve', 'is', 'typical', 'of', 'dust', 'but', 'can', 'not', 'be', 'used', 'to', 'distinguish', 'between', 'different', 'dust', 'types', 'the', 'radial', 'dependence', 'of', 'the', 'extinction', 'is', 'shallow', 'near', 'the', 'cluster', 'center', 'suggesting', 'that', 'most', 'of', 'the', 'detected', 'dust', 'lies', 'at', 'the', 'outskirts', 'of', 'the', 'clusters', 'gravitational', 'magnification', 'of', 'background', 'z', '17', 'sources', 'seen', 'on', 'mpc', 'projected', 'scales', 'around', 'the', 'clusters', 'is', 'found', 'to', 'be', 'of', 'order', 'a', 'few', 'per', 'cent', 'in', 'qualitative', 'agreement', 'with', 'theoretical', 'predictions', 'contamination', 'by', 'different', 'spectral', 'properties', 'of', 'the', 'lensed', 'quasar', 'population', 'is', 'unlikely', 'but', 'can', 'not', 'be', 'excluded']] | [-0.05291831173981803, 0.06244887469503551, -0.06796273911515108, 0.07533615870246042, -0.07216298406889948, -0.04916433750902517, 0.06298780693069626, 0.4331352037783617, -0.19023743111010377, -0.35144054745204556, 0.03857310417030627, -0.347444418614778, 0.00976526673632459, 0.20876477957547954, -0.03532310602410386, -0.04937091645423117, 0.02650678056316116, -0.08366087536351421, -0.037110907901735164, -0.31773655815050006, 0.2711390600993465, 0.07544128452905287, 0.18205598466253528, -0.037524071492953226, 0.07214736094316229, -0.09225944376801355, -0.11275589975038877, 0.0385433565840149, -0.1348986438319676, 0.06210424783617222, 0.22982859463604072, 0.11649388596952821, 0.21335359672920254, -0.2808710495308519, -0.20340028142508787, 0.09560750302178068, 0.22983194240786803, 0.09600973981790818, -0.042773234199744485, -0.3090770693028716, 0.11073263101458836, -0.12484329204576519, -0.18179109477279828, 0.11033343657021387, 0.04785894024863433, 0.062457092273502775, -0.16055626418883315, 0.20957902090874717, -0.04581452086448479, 0.12467301918215339, -0.09045677817014691, -0.11295365624858114, -0.07829595288822953, 0.08812884675959747, -0.002618182317700046, 0.09647610448360538, 0.21459469144256452, -0.14355990406609356, -0.01153015308917906, 0.44281539291095656, -0.030385682364561573, 0.013425891248446602, 0.18848611203690943, -0.21628138192896493, -0.16910765312003115, 0.151353229226049, 0.16599559823636156, 0.08833449551214774, -0.18272907528071067, 0.0003585361980815203, 0.003899658954021736, 0.2791459958355587, 0.05286873787199744, 0.05577678666178634, 0.3429451811497506, 0.0724392883615413, 0.05669501023844649, 0.07990677256431156, -0.2775737211221638, -0.022007836961748604, -0.26959557878898266, -0.04410158855339082, -0.14589508345278984, 0.09234897055508694, -0.1832265408097905, -0.10605746522830883, 0.3338372816857046, 0.13566504140647176, 0.24636303659271783, 0.07557555608666287, 0.27107951509503597, 0.07770764096774375, 0.12641218114190567, 0.08000943206626779, 0.36245601072620887, 0.15615610918477893, 0.04100170033649565, -0.1795060568062278, 0.08165062855009754, -0.0036700265661168555] |
711.1168 | Tuning impurity states in bilayer graphene | We study the impurity states in bilayer graphene in the unitary limit using
Green's function method. Unlike in single layer graphene, the presence of
impurities at two non-equivalent sites in bilayer graphene produce different
impurity states which is understood as the change in the band structure due to
interlayer hopping of electrons. The impurity states can also be tuned by
changing the band structure of bilayer grahene through external electric field
bias.
| cond-mat.str-el | we study the impurity states in bilayer graphene in the unitary limit using greens function method unlike in single layer graphene the presence of impurities at two nonequivalent sites in bilayer graphene produce different impurity states which is understood as the change in the band structure due to interlayer hopping of electrons the impurity states can also be tuned by changing the band structure of bilayer grahene through external electric field bias | [['we', 'study', 'the', 'impurity', 'states', 'in', 'bilayer', 'graphene', 'in', 'the', 'unitary', 'limit', 'using', 'greens', 'function', 'method', 'unlike', 'in', 'single', 'layer', 'graphene', 'the', 'presence', 'of', 'impurities', 'at', 'two', 'nonequivalent', 'sites', 'in', 'bilayer', 'graphene', 'produce', 'different', 'impurity', 'states', 'which', 'is', 'understood', 'as', 'the', 'change', 'in', 'the', 'band', 'structure', 'due', 'to', 'interlayer', 'hopping', 'of', 'electrons', 'the', 'impurity', 'states', 'can', 'also', 'be', 'tuned', 'by', 'changing', 'the', 'band', 'structure', 'of', 'bilayer', 'grahene', 'through', 'external', 'electric', 'field', 'bias']] | [-0.17142740778729948, 0.20698728180214973, 0.012963554933404838, 0.040980293987725507, 0.05288773941689394, -0.17469051994488272, 0.1190802484527755, 0.43431352094655307, -0.3058884730956084, -0.3100014589202236, -0.07512631538343734, -0.3010421832367568, -0.1361174936025915, 0.11069973261000483, 0.05137576863930469, -0.025432622112648587, 0.02757087728979302, -0.09145554072472831, -0.07850757919409325, -0.20101901605515413, 0.32484072658010354, 0.013033491656066142, 0.32700422332740164, 0.12279366145671254, -0.036436517080160935, 0.08929743181625513, 0.16949290009608992, 0.03064259351559088, -0.06509252229351288, 0.021301654668182173, 0.2390986660488842, -0.2180999362526435, 0.20176722611707282, -0.5244039446377838, -0.18734985188594167, -0.03190599181230219, 0.18919928752305643, 0.20977378508541733, -0.03983712530019365, -0.30339966181823064, 0.011559654565029581, -0.1581821703470089, -0.10952843936212675, -0.04007377066242863, -0.04188214093413938, -0.023711807084676455, -0.22679718558407638, 0.12310619670266457, -0.003521022295028391, 0.05612532003507228, -0.10398243000389824, -0.10339848143638859, -0.12925296191217928, 0.09684185683071403, 0.04571601917350691, 0.05673663860882147, 0.2628797366296951, -0.12872787009314698, -0.10459064533540481, 0.3594764937240053, -0.11422885715646643, -0.20287621346577792, 0.15132207073218806, -0.17901264607224246, -0.043595272890278994, 0.12509421247359312, 0.10810882655877463, 0.08998416266469679, -0.16698030647526588, 0.136282933462726, -0.0420412004230098, 0.13815175349378145, 0.08327268340795392, 0.09699718340654188, 0.2730234501076679, 0.14414632946095415, 0.08203579283411234, 0.19031437917802693, -0.11676583625376225, -0.039630228706019024, -0.17921502568142514, -0.15905661186085304, -0.2739627381727677, 0.06623404979390997, -0.03841374784340741, -0.260386177771528, 0.495449581740975, 0.13753554318756075, 0.17713969819982286, -0.12271006739678675, 0.1945922722331655, 0.16490540279462462, 0.09957389175419656, 0.01179737018578699, 0.241774954216581, 0.15192674532611394, 0.06545679854281561, -0.27925144075612784, 0.042456868635884056, 0.01968437326993321] |
711.1169 | Monte Carlo simulations of pulse propagation in massive multichannel
optical fiber communication systems | We study the combined effect of delayed Raman response and bit pattern
randomness on pulse propagation in massive multichannel optical fiber
communication systems. The propagation is described by a perturbed stochastic
nonlinear Schr\"odinger equation, which takes into account changes in pulse
amplitude and frequency as well as emission of continuous radiation. We perform
extensive numerical simulations with the model, and analyze the dynamics of the
frequency moments, the bit-error-rate, and the mutual distribution of amplitude
and position. The results of our numerical simulations are in good agreement
with theoretical predictions based on the adiabatic perturbation approach.
| nlin.PS | we study the combined effect of delayed raman response and bit pattern randomness on pulse propagation in massive multichannel optical fiber communication systems the propagation is described by a perturbed stochastic nonlinear schrodinger equation which takes into account changes in pulse amplitude and frequency as well as emission of continuous radiation we perform extensive numerical simulations with the model and analyze the dynamics of the frequency moments the biterrorrate and the mutual distribution of amplitude and position the results of our numerical simulations are in good agreement with theoretical predictions based on the adiabatic perturbation approach | [['we', 'study', 'the', 'combined', 'effect', 'of', 'delayed', 'raman', 'response', 'and', 'bit', 'pattern', 'randomness', 'on', 'pulse', 'propagation', 'in', 'massive', 'multichannel', 'optical', 'fiber', 'communication', 'systems', 'the', 'propagation', 'is', 'described', 'by', 'a', 'perturbed', 'stochastic', 'nonlinear', 'schrodinger', 'equation', 'which', 'takes', 'into', 'account', 'changes', 'in', 'pulse', 'amplitude', 'and', 'frequency', 'as', 'well', 'as', 'emission', 'of', 'continuous', 'radiation', 'we', 'perform', 'extensive', 'numerical', 'simulations', 'with', 'the', 'model', 'and', 'analyze', 'the', 'dynamics', 'of', 'the', 'frequency', 'moments', 'the', 'biterrorrate', 'and', 'the', 'mutual', 'distribution', 'of', 'amplitude', 'and', 'position', 'the', 'results', 'of', 'our', 'numerical', 'simulations', 'are', 'in', 'good', 'agreement', 'with', 'theoretical', 'predictions', 'based', 'on', 'the', 'adiabatic', 'perturbation', 'approach']] | [-0.15747646394690187, 0.0854184660371781, -0.08823734438434865, 0.04160294427007708, -0.021208647871389985, -0.09639858102794581, 0.03943989724939456, 0.42750523062810925, -0.24495709790304923, -0.27372088518071297, 0.07884673236912931, -0.27931621605239343, -0.16599545711748456, 0.2170373537398215, 0.013184985592185209, 0.10119898028400105, 0.0836750736052636, 0.008049587278947001, -0.032904348481679335, -0.15055089129600674, 0.26012559948139824, 0.11016555999716122, 0.3049645685823634, -0.00874455031589605, 0.08392004791433767, 0.05014934530481696, -0.05259276835325485, -0.014730372815392911, -0.12334263340502123, 0.047309145849870525, 0.17435118107823655, 0.05923018638471452, 0.22889520166791044, -0.4799251696676947, -0.2789206006855238, 0.028051704013099272, 0.13999249692005833, 0.14629361315140463, -0.06146372218548398, -0.3131343174997407, 0.007493018793563048, -0.14592397576780058, -0.11234566371907324, -0.05396356816830424, -0.01717198174931885, 0.0992796665498948, -0.3003444135999113, 0.13127120329105915, 0.028351566526301514, 0.034175939906466134, -0.06610833466887318, -0.048520423651401266, -0.011979392157324279, 0.09761268087944093, 0.028092643140553264, 0.0011016898267068125, 0.12431535099919226, -0.10269163841257978, -0.11660180769104045, 0.38738110617850907, -0.12508126323033744, -0.17151642879859233, 0.13504596893956963, -0.1627014029139294, -0.043980941831250675, 0.15826789875670025, 0.2178555497994239, 0.07728942222699213, -0.10683903030925042, 0.019687537838232554, 0.029415902225688722, 0.21959721066135293, 0.05361121235667573, 0.0733309156244862, 0.1662948035421626, 0.19172899782279273, -0.03569035968394019, 0.13973291104048258, -0.10911957856539327, -0.16211294711683877, -0.2898763698952583, -0.05038673640228808, -0.17843801626198305, 0.029726931408125285, -0.10389270805580963, -0.12696509310626425, 0.43076576734893024, 0.1642567708719677, 0.15018678978473568, 0.06112602798263348, 0.3693619640544057, 0.1927753022403825, -0.022065713191598963, 0.03591031425700445, 0.26880684082667966, 0.18815411377242222, 0.10516484872156677, -0.30942095671101316, 0.03331691898347344, 0.01601362846122356] |
711.117 | The origin and evolution of dust in high-redshift galaxies | Dusty hyperluminous galaxies in the early universe provide unique
environments for studying the role of massive stars in the formation and
destruction of dust. At redshifts above 6, when the universe was less than 1
Gyr old, dust could have only condensed in the explosive ejecta of Type II
supernovae (SNe), since most of the progenitors of the AGB stars, the major
alternative source of interstellar dust, did not have time to evolve off the
main sequence. We present analytical models for the evolution of the gas, dust,
and metals in high redshift galaxies, with a special application to SDSS
J1148+5251, a hyperluminous quasar at z = 6.4. We show that an average SN must
condense at least 1 Msun of dust to account for the mass of dust in this
object, when grain destruction by supernova remnants (SNRs) is taken into
account. This required yield is in excess of ~0.05 Msun, the largest mass of
dust inferred from infrared observations of Cas A. If the yield of Cas A is
typical, then other processes, such as accretion onto preexisting grains in
molecular clouds is needed to produce the mass of dust in J1148+5251. For such
process to be effective, SNR must significantly increase, presumably by
non-evaporative grain-grain collisions during the late stages of their
evolution, the number of nucleation centers onto which refractory elements can
condense in molecular clouds.
| astro-ph | dusty hyperluminous galaxies in the early universe provide unique environments for studying the role of massive stars in the formation and destruction of dust at redshifts above 6 when the universe was less than 1 gyr old dust could have only condensed in the explosive ejecta of type ii supernovae sne since most of the progenitors of the agb stars the major alternative source of interstellar dust did not have time to evolve off the main sequence we present analytical models for the evolution of the gas dust and metals in high redshift galaxies with a special application to sdss j11485251 a hyperluminous quasar at z 64 we show that an average sn must condense at least 1 msun of dust to account for the mass of dust in this object when grain destruction by supernova remnants snrs is taken into account this required yield is in excess of 005 msun the largest mass of dust inferred from infrared observations of cas a if the yield of cas a is typical then other processes such as accretion onto preexisting grains in molecular clouds is needed to produce the mass of dust in j11485251 for such process to be effective snr must significantly increase presumably by nonevaporative graingrain collisions during the late stages of their evolution the number of nucleation centers onto which refractory elements can condense in molecular clouds | [['dusty', 'hyperluminous', 'galaxies', 'in', 'the', 'early', 'universe', 'provide', 'unique', 'environments', 'for', 'studying', 'the', 'role', 'of', 'massive', 'stars', 'in', 'the', 'formation', 'and', 'destruction', 'of', 'dust', 'at', 'redshifts', 'above', '6', 'when', 'the', 'universe', 'was', 'less', 'than', '1', 'gyr', 'old', 'dust', 'could', 'have', 'only', 'condensed', 'in', 'the', 'explosive', 'ejecta', 'of', 'type', 'ii', 'supernovae', 'sne', 'since', 'most', 'of', 'the', 'progenitors', 'of', 'the', 'agb', 'stars', 'the', 'major', 'alternative', 'source', 'of', 'interstellar', 'dust', 'did', 'not', 'have', 'time', 'to', 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711.1171 | Spatially Resolved Galaxy Star Formation and its Environmental
Dependence I | We use the photometric information contained in individual pixels of 44,964
(0.019<z<0.125 and -23.5<M_r<-20.5) galaxies in the Fourth Data Release (DR4)
of the Sloan Digital Sky Survey to investigate the effects of environment on
galaxy star formation (SF). We use the pixel-z technique, which combines
stellar population synthesis models with photometric redshift template fitting
on the scale of individual pixels in galaxy images. Spectral energy
distributions are constructed, sampling a wide range of properties such as age,
star formation rate (SFR), dust obscuration and metallicity. By summing the
SFRs in the pixels, we demonstrate that the distribution of total galaxy SFR
shifts to lower values as the local density of surrounding galaxies increases,
as found in other studies. The effect is most prominent in the galaxies with
the highest star formation, and we see the break in the SFR-density relation at
a local galaxy density of $\approx 0.05 $(Mpc/h)$^{-3}$. Since our method
allows us to spatially resolve the SF distribution within galaxies, we can
calculate the mean SFR of each galaxy as a function of radius. We find that on
average the mean SFR is dominated by SF in the central regions of galaxies, and
that the trend for suppression of SFR in high density environments is driven by
a reduction in this nuclear SF. We also find that the mean SFR in the outskirts
is largely independent of environmental effects. This trend in the mean SFR is
shared by galaxies which are highly star forming, while those which are weakly
star forming show no statistically significant correlation between their
environment and the mean SFR at any radius.
| astro-ph | we use the photometric information contained in individual pixels of 44964 0019z0125 and 235m_r205 galaxies in the fourth data release dr4 of the sloan digital sky survey to investigate the effects of environment on galaxy star formation sf we use the pixelz technique which combines stellar population synthesis models with photometric redshift template fitting on the scale of individual pixels in galaxy images spectral energy distributions are constructed sampling a wide range of properties such as age star formation rate sfr dust obscuration and metallicity by summing the sfrs in the pixels we demonstrate that the distribution of total galaxy sfr shifts to lower values as the local density of surrounding galaxies increases as found in other studies the effect is most prominent in the galaxies with the highest star formation and we see the break in the sfrdensity relation at a local galaxy density of approx 005 mpch3 since our method allows us to spatially resolve the sf distribution within galaxies we can calculate the mean sfr of each galaxy as a function of radius we find that on average the mean sfr is dominated by sf in the central regions of galaxies and that the trend for suppression of sfr in high density environments is driven by a reduction in this nuclear sf we also find that the mean sfr in the outskirts is largely independent of environmental effects this trend in the mean sfr is shared by galaxies which are highly star forming while those which are weakly star forming show no statistically significant correlation between their environment and the mean sfr at any radius | [['we', 'use', 'the', 'photometric', 'information', 'contained', 'in', 'individual', 'pixels', 'of', '44964', '0019z0125', 'and', '235m_r205', 'galaxies', 'in', 'the', 'fourth', 'data', 'release', 'dr4', 'of', 'the', 'sloan', 'digital', 'sky', 'survey', 'to', 'investigate', 'the', 'effects', 'of', 'environment', 'on', 'galaxy', 'star', 'formation', 'sf', 'we', 'use', 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711.1172 | Transmission phase of a singly occupied quantum dot in the Kondo regime | We report on the phase measurements on a quantum dot containing a single
electron in the Kondo regime. Transport takes place through a single orbital
state. Although the conductance is far from the unitary limit, we measure for
the first time, a transmission phase as theoretically predicted of \pi/2. As
the dot's coupling to the leads is decreased, with the dot entering the Coulomb
blockade regime, the phase reaches a value of \pi. Temperature shows little
effect on the phase behaviour in the range 30--600 mK, even though both the
two-terminal conductance and amplitude of the Aharonov-Bohm oscillations are
strongly affected. These results confirm that previous phase measurements
involved transport through more than a single level.
| cond-mat.mes-hall | we report on the phase measurements on a quantum dot containing a single electron in the kondo regime transport takes place through a single orbital state although the conductance is far from the unitary limit we measure for the first time a transmission phase as theoretically predicted of pi2 as the dots coupling to the leads is decreased with the dot entering the coulomb blockade regime the phase reaches a value of pi temperature shows little effect on the phase behaviour in the range 30600 mk even though both the twoterminal conductance and amplitude of the aharonovbohm oscillations are strongly affected these results confirm that previous phase measurements involved transport through more than a single level | [['we', 'report', 'on', 'the', 'phase', 'measurements', 'on', 'a', 'quantum', 'dot', 'containing', 'a', 'single', 'electron', 'in', 'the', 'kondo', 'regime', 'transport', 'takes', 'place', 'through', 'a', 'single', 'orbital', 'state', 'although', 'the', 'conductance', 'is', 'far', 'from', 'the', 'unitary', 'limit', 'we', 'measure', 'for', 'the', 'first', 'time', 'a', 'transmission', 'phase', 'as', 'theoretically', 'predicted', 'of', 'pi2', 'as', 'the', 'dots', 'coupling', 'to', 'the', 'leads', 'is', 'decreased', 'with', 'the', 'dot', 'entering', 'the', 'coulomb', 'blockade', 'regime', 'the', 'phase', 'reaches', 'a', 'value', 'of', 'pi', 'temperature', 'shows', 'little', 'effect', 'on', 'the', 'phase', 'behaviour', 'in', 'the', 'range', '30600', 'mk', 'even', 'though', 'both', 'the', 'twoterminal', 'conductance', 'and', 'amplitude', 'of', 'the', 'aharonovbohm', 'oscillations', 'are', 'strongly', 'affected', 'these', 'results', 'confirm', 'that', 'previous', 'phase', 'measurements', 'involved', 'transport', 'through', 'more', 'than', 'a', 'single', 'level']] | [-0.20450831993366592, 0.20910694936675758, -0.07465042027741156, -0.003170837551869195, 0.021070293253207386, -0.15368875031006232, 0.12574840784935956, 0.34506163599395095, -0.2407702842309814, -0.2819266480530195, 0.03720402766364338, -0.3200319887636679, -0.118107786273648, 0.23846397251051304, 0.014847766298897051, 0.009221752439143843, 0.05254736581239207, 0.047595745514564476, -0.10375782901999252, -0.17460824847060802, 0.2707769251910263, 0.03350112543357055, 0.2786327267049587, 0.07707491301899326, 0.04974414828907827, 0.018285748721421535, 0.10097293123795555, 0.028040954178793293, -0.11806995291326844, -0.03400927375006522, 0.1856402800386322, -0.07478834676821235, 0.20695450683606081, -0.43065229364959845, -0.19364924914131326, 0.049006575590063786, 0.15887028130237013, 0.1415564668593639, -0.04207872173606904, -0.2785001791740671, 0.00389031448867172, -0.11945922455975208, -0.06614664138358986, -0.03424074978503431, -0.003432901023690396, -0.05282825241186496, -0.2569901382807514, 0.14041186495411112, 0.022639721658096874, 0.03589668611449928, 0.0025511593879039944, -0.09816225930438216, -0.010295413952352929, 0.11020280112881728, -0.014360595508558869, 0.03761655146558167, 0.18970900246520236, -0.1333949354653857, -0.0866591015094008, 0.3540744186732276, -0.08439664641289334, -0.09744355847641568, 0.13269775407388806, -0.25614811836717777, -0.05192571409961915, 0.15937766069867487, 0.08480006203874303, 0.11261779837238056, -0.10337653570880728, 0.0667380138740931, -0.010513545070164677, 0.21177828261941864, 0.02748075392948271, 0.0897414692284154, 0.23683463175307382, 0.21323474099787337, 0.043418133480811555, 0.1380254973131553, -0.17006086242778612, -0.13652521576571824, -0.26555145390588664, -0.1226457209017224, -0.18462345118289172, 0.10060221818476466, -0.04696616510334244, -0.16325993204071862, 0.4178209727630521, 0.149254186440195, 0.23593459408609838, 0.001342827004605326, 0.2977117885201206, 0.20038241056067035, 0.042416521092146185, 0.018389352244035952, 0.3050923626107196, 0.1565358586577249, 0.1239481430765691, -0.31291684156016786, 0.07706212883429794, -0.010815504555498122] |
711.1173 | Equilibrium and nonequilibrium properties of systems with long-range
interactions | We briefly review some equilibrium and nonequilibrium properties of systems
with long-range interactions. Such systems, which are characterized by a
potential that weakly decays at large distances, have striking properties at
equilibrium, like negative specific heat in the microcanonical ensemble,
temperature jumps at first order phase transitions, broken ergodicity. Here, we
mainly restrict our analysis to mean-field models, where particles globally
interact with the same strength. We show that relaxation to equilibrium
proceeds through quasi-stationary states whose duration increases with system
size. We propose a theoretical explanation, based on Lynden-Bell's entropy, of
this intriguing relaxation process. This allows to address problems related to
nonequilibrium using an extension of standard equilibrium statistical
mechanics. We discuss in some detail the example of the dynamics of the free
electron laser, where the existence and features of quasi-stationary states is
likely to be tested experimentally in the future. We conclude with some
perspectives to study open problems and to find applications of these ideas to
dipolar media.
| cond-mat.stat-mech | we briefly review some equilibrium and nonequilibrium properties of systems with longrange interactions such systems which are characterized by a potential that weakly decays at large distances have striking properties at equilibrium like negative specific heat in the microcanonical ensemble temperature jumps at first order phase transitions broken ergodicity here we mainly restrict our analysis to meanfield models where particles globally interact with the same strength we show that relaxation to equilibrium proceeds through quasistationary states whose duration increases with system size we propose a theoretical explanation based on lyndenbells entropy of this intriguing relaxation process this allows to address problems related to nonequilibrium using an extension of standard equilibrium statistical mechanics we discuss in some detail the example of the dynamics of the free electron laser where the existence and features of quasistationary states is likely to be tested experimentally in the future we conclude with some perspectives to study open problems and to find applications of these ideas to dipolar media | [['we', 'briefly', 'review', 'some', 'equilibrium', 'and', 'nonequilibrium', 'properties', 'of', 'systems', 'with', 'longrange', 'interactions', 'such', 'systems', 'which', 'are', 'characterized', 'by', 'a', 'potential', 'that', 'weakly', 'decays', 'at', 'large', 'distances', 'have', 'striking', 'properties', 'at', 'equilibrium', 'like', 'negative', 'specific', 'heat', 'in', 'the', 'microcanonical', 'ensemble', 'temperature', 'jumps', 'at', 'first', 'order', 'phase', 'transitions', 'broken', 'ergodicity', 'here', 'we', 'mainly', 'restrict', 'our', 'analysis', 'to', 'meanfield', 'models', 'where', 'particles', 'globally', 'interact', 'with', 'the', 'same', 'strength', 'we', 'show', 'that', 'relaxation', 'to', 'equilibrium', 'proceeds', 'through', 'quasistationary', 'states', 'whose', 'duration', 'increases', 'with', 'system', 'size', 'we', 'propose', 'a', 'theoretical', 'explanation', 'based', 'on', 'lyndenbells', 'entropy', 'of', 'this', 'intriguing', 'relaxation', 'process', 'this', 'allows', 'to', 'address', 'problems', 'related', 'to', 'nonequilibrium', 'using', 'an', 'extension', 'of', 'standard', 'equilibrium', 'statistical', 'mechanics', 'we', 'discuss', 'in', 'some', 'detail', 'the', 'example', 'of', 'the', 'dynamics', 'of', 'the', 'free', 'electron', 'laser', 'where', 'the', 'existence', 'and', 'features', 'of', 'quasistationary', 'states', 'is', 'likely', 'to', 'be', 'tested', 'experimentally', 'in', 'the', 'future', 'we', 'conclude', 'with', 'some', 'perspectives', 'to', 'study', 'open', 'problems', 'and', 'to', 'find', 'applications', 'of', 'these', 'ideas', 'to', 'dipolar', 'media']] | [-0.1005713247459816, 0.1887349467789733, -0.09866661612020143, 0.08467584745385522, -0.018442485608629013, -0.14657415459903836, 0.04735335274285243, 0.36205402349173293, -0.30648846214742864, -0.2599648398781435, 0.07976997755767858, -0.3003458559151169, -0.1350976991827137, 0.14894473070473027, 0.009100783486319191, 0.05736742304363773, 0.029871299731448017, 0.009433112380043403, -0.07143212611175662, -0.20384059080774067, 0.3208849723665101, 0.05028189974551323, 0.25451041391816426, 0.08413113187998533, 0.06702301098373747, -0.025918227993237553, 0.05093604407381792, 0.04413607747771097, -0.1826765141261497, 0.07189325586552703, 0.22949531032130044, 0.07442780736365293, 0.2702399357421998, -0.44598328309030805, -0.2345575746191677, 0.10507065265730846, 0.13890537644445072, 0.13966481320265725, -0.0629468422798737, -0.27361809010503163, 0.039139321057820135, -0.13152070295499876, -0.17848374674588077, -0.11713837964197427, 0.029580141677652584, 0.057803542660320735, -0.22606187046396953, 0.10302899468495894, 0.0558385996982181, 0.05622897439984822, -0.06573195374489367, -0.08916552880981743, 0.02457829678653985, 0.07277683501754618, 0.06970347771888878, -0.02652196209460634, 0.16052940249317355, -0.1217990423912651, -0.1393811114280959, 0.3606622364212033, -0.0703094307200389, -0.1539733304293609, 0.25884373920421155, -0.1514712215281246, -0.17032464224351657, 0.09900806114746064, 0.16973467583716648, 0.11967630349985249, -0.1648972739788355, 0.039313033979137546, -0.0005801422750017394, 0.15377448114460804, 0.007133079052794199, 0.05199864764977818, 0.2386231444136131, 0.1844970429804679, 0.036460567815686386, 0.18474800193016674, -0.04103501071873838, -0.18562778392363843, -0.2965603704368581, -0.12984813634374756, -0.1613349842701816, 0.07709406255073045, -0.023565253568259698, -0.15174388330704047, 0.38385405816549173, 0.2083468534770326, 0.20748507352460152, 0.023023003327340297, 0.2512257552300037, 0.11857146736980057, -0.014902501052782579, 0.07430624705167956, 0.24265551102112698, 0.1291501305310307, 0.09406642758921703, -0.25817934822496824, 0.041970301942294175, 0.019132360501751943] |
711.1174 | The space-time operator product expansion in string theory duals of
field theories | We study the operator product expansion (OPE) limit of correlation functions
in field theories which possess string theory duals, from the point of view of
the string worldsheet. We show how the interesting ("single-trace") terms in
the OPE of the field theory arise in this limit from the OPE of the worldsheet
theory of the string dual, using a dominant saddle point which appears in
computations of worldsheet correlation functions in the space-time OPE limit.
The worldsheet OPE generically contains only non-physical operators, but all
the non-physical contributions are resummed by the saddle point to a
contribution similar to that of a physical operator, which exactly matches the
field theory expectations. We verify that the OPE limit of the worldsheet
theory does not have any other contributions to the OPE limit of space-time
correlation functions. Our discussion is completely general and applies to any
local field theory (conformal at high energies) that has a weakly coupled
string theory dual (with arbitrary curvature). As a first application, we
compare our results to a proposal of R. Gopakumar for the string theory dual of
free gauge theories.
| hep-th | we study the operator product expansion ope limit of correlation functions in field theories which possess string theory duals from the point of view of the string worldsheet we show how the interesting singletrace terms in the ope of the field theory arise in this limit from the ope of the worldsheet theory of the string dual using a dominant saddle point which appears in computations of worldsheet correlation functions in the spacetime ope limit the worldsheet ope generically contains only nonphysical operators but all the nonphysical contributions are resummed by the saddle point to a contribution similar to that of a physical operator which exactly matches the field theory expectations we verify that the ope limit of the worldsheet theory does not have any other contributions to the ope limit of spacetime correlation functions our discussion is completely general and applies to any local field theory conformal at high energies that has a weakly coupled string theory dual with arbitrary curvature as a first application we compare our results to a proposal of r gopakumar for the string theory dual of free gauge theories | [['we', 'study', 'the', 'operator', 'product', 'expansion', 'ope', 'limit', 'of', 'correlation', 'functions', 'in', 'field', 'theories', 'which', 'possess', 'string', 'theory', 'duals', 'from', 'the', 'point', 'of', 'view', 'of', 'the', 'string', 'worldsheet', 'we', 'show', 'how', 'the', 'interesting', 'singletrace', 'terms', 'in', 'the', 'ope', 'of', 'the', 'field', 'theory', 'arise', 'in', 'this', 'limit', 'from', 'the', 'ope', 'of', 'the', 'worldsheet', 'theory', 'of', 'the', 'string', 'dual', 'using', 'a', 'dominant', 'saddle', 'point', 'which', 'appears', 'in', 'computations', 'of', 'worldsheet', 'correlation', 'functions', 'in', 'the', 'spacetime', 'ope', 'limit', 'the', 'worldsheet', 'ope', 'generically', 'contains', 'only', 'nonphysical', 'operators', 'but', 'all', 'the', 'nonphysical', 'contributions', 'are', 'resummed', 'by', 'the', 'saddle', 'point', 'to', 'a', 'contribution', 'similar', 'to', 'that', 'of', 'a', 'physical', 'operator', 'which', 'exactly', 'matches', 'the', 'field', 'theory', 'expectations', 'we', 'verify', 'that', 'the', 'ope', 'limit', 'of', 'the', 'worldsheet', 'theory', 'does', 'not', 'have', 'any', 'other', 'contributions', 'to', 'the', 'ope', 'limit', 'of', 'spacetime', 'correlation', 'functions', 'our', 'discussion', 'is', 'completely', 'general', 'and', 'applies', 'to', 'any', 'local', 'field', 'theory', 'conformal', 'at', 'high', 'energies', 'that', 'has', 'a', 'weakly', 'coupled', 'string', 'theory', 'dual', 'with', 'arbitrary', 'curvature', 'as', 'a', 'first', 'application', 'we', 'compare', 'our', 'results', 'to', 'a', 'proposal', 'of', 'r', 'gopakumar', 'for', 'the', 'string', 'theory', 'dual', 'of', 'free', 'gauge', 'theories']] | [-0.13089747292845436, 0.12688630219089572, -0.13778076455802532, 0.10422293814150868, -0.04837027955171023, -0.11614602627169744, 0.009529924785365929, 0.27836299554218313, -0.21603997197706956, -0.18235933439101318, 0.07957518679857556, -0.31907252373324857, -0.19340797273844884, 0.10042098888976349, -0.022152819849450042, 0.02395806556718575, -0.0030734324374714415, 0.09496983805847531, -0.12377142269491545, -0.23727415267982194, 0.37047664028516897, 0.029138801790572502, 0.27702839019129405, 0.10735165659665458, 0.07975140048341976, 0.028774291752661402, -0.017558111565036547, 0.020648232089808663, -0.09268979225492552, 0.1467831095126835, 0.2525574983613616, 0.058165576152906226, 0.14649743076564894, -0.4476794631950356, -0.2001330399810261, 0.04195713705660121, 0.17591888895258306, 0.14018707502494893, 0.02881830895911097, -0.21717859398435196, 0.0707783611793373, -0.17500396218855638, -0.17545752499969927, -0.10536970592684403, -0.0076096698390068235, -0.08026137165347667, -0.27034892216576517, 0.06762108681220058, 0.033744046610553524, 0.029243204299662564, -0.05605840198066388, -0.07230244911640782, -0.02932475641923579, 0.12544509426413758, 0.1382835147776122, 0.1174386754952925, 0.13615214263114173, -0.19612614368953793, -0.15356381322238344, 0.3381754512470719, -0.09785332924409493, -0.22697072500690213, 0.148642555835682, -0.19058343814182524, -0.1733712048722884, 0.0924506238561023, 0.07554868068294347, 0.16710361385548084, -0.14043067729452977, 0.24429252037394641, -0.04693869862932007, 0.11469651395942689, 0.09268908778306198, 0.06821893391079849, 0.24708773517553267, 0.016189255147568277, 0.04067743825907127, 0.14053620524559723, -0.0007075888935375858, -0.16936019554079787, -0.45734883361571543, -0.09543927630057206, -0.15306080301934097, 0.11593612935779478, -0.18717861550575363, -0.22973218247596477, 0.3538862328070241, 0.1720007808333911, 0.17671420106009858, 0.07937846441212035, 0.2185667139201148, 0.16264922022379028, 0.11225618045223323, 0.06487599732480137, 0.24626720076036715, 0.17774779474790636, 0.0570630679756554, -0.21305945226796777, -0.11107482838167532, 0.19569562394675372] |
711.1175 | Energy and System-Size Dependence of Long-Range Multiplicity
Correlations from the STAR Experiment | A discussion of results for short and long-range multiplicity correlations
(forward-backward) are presented for several systems (Au+Au, Cu+Cu, and pp) and
energies (e.g. $\sqrt{s_{NN}}$ = 200, 62.4, and $\approx$ 20 GeV). These
correlations are measured with increasing values of a gap in pseudorapidity,
from no gap at midrapidity to a separation of 1.6 units ($|\eta|$ = 0.8). For
the highest energy, central A+A collisions, the forward-backward correlation
strength maintains a constant value across the measurement region. In
peripheral collisions, at lower energies, and in pp data, the maximum appears
at midrapidity. This result may indicate the possible formation of high density
matter for central A+A collisions at $\sqrt{s_{NN}}$ = 200 GeV.
| nucl-ex | a discussion of results for short and longrange multiplicity correlations forwardbackward are presented for several systems auau cucu and pp and energies eg sqrts_nn 200 624 and approx 20 gev these correlations are measured with increasing values of a gap in pseudorapidity from no gap at midrapidity to a separation of 16 units eta 08 for the highest energy central aa collisions the forwardbackward correlation strength maintains a constant value across the measurement region in peripheral collisions at lower energies and in pp data the maximum appears at midrapidity this result may indicate the possible formation of high density matter for central aa collisions at sqrts_nn 200 gev | [['a', 'discussion', 'of', 'results', 'for', 'short', 'and', 'longrange', 'multiplicity', 'correlations', 'forwardbackward', 'are', 'presented', 'for', 'several', 'systems', 'auau', 'cucu', 'and', 'pp', 'and', 'energies', 'eg', 'sqrts_nn', '200', '624', 'and', 'approx', '20', 'gev', 'these', 'correlations', 'are', 'measured', 'with', 'increasing', 'values', 'of', 'a', 'gap', 'in', 'pseudorapidity', 'from', 'no', 'gap', 'at', 'midrapidity', 'to', 'a', 'separation', 'of', '16', 'units', 'eta', '08', 'for', 'the', 'highest', 'energy', 'central', 'aa', 'collisions', 'the', 'forwardbackward', 'correlation', 'strength', 'maintains', 'a', 'constant', 'value', 'across', 'the', 'measurement', 'region', 'in', 'peripheral', 'collisions', 'at', 'lower', 'energies', 'and', 'in', 'pp', 'data', 'the', 'maximum', 'appears', 'at', 'midrapidity', 'this', 'result', 'may', 'indicate', 'the', 'possible', 'formation', 'of', 'high', 'density', 'matter', 'for', 'central', 'aa', 'collisions', 'at', 'sqrts_nn', '200', 'gev']] | [-0.12735961083564218, 0.2337310940212639, -0.12097878769229821, 0.13804788752006264, 0.09759089298097899, -0.11619847263554456, -0.060013687453681124, 0.36955851024551384, -0.22338229359162073, -0.3816059917142546, -0.0902530029232838, -0.40170829863873897, 0.16556421782890404, 0.15089132405679534, 0.09107969884725106, 0.06524705460321491, 0.14288925635628402, 0.03275578038516903, -0.08571805101355831, -0.14308706737399376, 0.22729561848272742, 0.15148519805020275, 0.2159271789714694, 0.24084155637602736, 0.02732285032053133, 0.08426006564965334, 0.027944679147805327, 0.01332558082692601, -0.16919277401002883, 0.039116383774617805, 0.34148629657768953, -0.024622071601226234, 0.2266364219572602, -0.2580786806669224, -0.10223277792748478, 0.11767091124353034, 0.12590409946965841, 0.0460213117249724, -0.08605558324294786, -0.22945345475239232, 0.1842195759570502, -0.23208413529425376, -0.11567200165828345, 0.05761997901478295, 0.07194187765061441, 0.06793591822497547, -0.3142701831939458, 0.24360628401929582, -0.02342027786653489, 0.14416277582791667, -0.03920836646661714, -0.244506588932213, -0.08619683746817625, -0.024997486534562928, 0.04145051201770979, 0.13765620224660746, 0.18751550495141633, -0.11961948487980946, -0.12695079455119818, 0.36251844084580187, 0.03344669482774205, -0.0357397211957033, 0.24119293875129963, -0.23681559108835817, -0.1540710028105726, 0.21187372882936703, 0.2471464248891506, 0.06232752206010951, -0.20366699954805276, -0.01880369103714151, 0.007248760511477788, 0.23381124773166245, 0.1514194791972706, 0.08613814082302808, 0.17350909079390545, 0.15201043332301736, 0.02934779176764466, 0.03668043276088105, -0.18139193431569664, -0.0943928247892203, -0.3936076485896828, -0.07515851144799618, -0.0971266333858862, 0.006562091418783422, -0.14035733716270812, 0.037639676662230934, 0.34681837090842976, 0.08967278504213835, 0.3544298295724999, 0.03169690137615867, 0.20156547479779907, 0.08686525207788993, 0.0667721144229829, 0.1599700630263046, 0.29933256395506086, 0.1709567041144948, 0.30280211880044255, -0.18407833433701415, 0.01056578722178798, -0.007008772703422302] |
711.1176 | Towards 4-loop NSPT result for a 3-dimensional condensate-contribution
to hot QCD pressure | Thanks to dimensional reduction, the contributions to the hot QCD pressure
coming from so-called soft modes can be studied via an effective
three-dimensional theory named Electrostatic QCD (spatial Yang-Mills fields
plus an adjoint Higgs scalar). The poor convergence of the perturbative series
within EQCD suggests to perform lattice measurements of some of the associated
gluon condensates. These turn out, however, to be plagued by large
discretization artifacts. We discuss how Numerical Stochastic Perturbation
Theory can be exploited to determine the full lattice spacing dependence of one
of these condensates up to 4-loop order, and sharpen our tools on a concrete
2-loop example.
| hep-lat | thanks to dimensional reduction the contributions to the hot qcd pressure coming from socalled soft modes can be studied via an effective threedimensional theory named electrostatic qcd spatial yangmills fields plus an adjoint higgs scalar the poor convergence of the perturbative series within eqcd suggests to perform lattice measurements of some of the associated gluon condensates these turn out however to be plagued by large discretization artifacts we discuss how numerical stochastic perturbation theory can be exploited to determine the full lattice spacing dependence of one of these condensates up to 4loop order and sharpen our tools on a concrete 2loop example | [['thanks', 'to', 'dimensional', 'reduction', 'the', 'contributions', 'to', 'the', 'hot', 'qcd', 'pressure', 'coming', 'from', 'socalled', 'soft', 'modes', 'can', 'be', 'studied', 'via', 'an', 'effective', 'threedimensional', 'theory', 'named', 'electrostatic', 'qcd', 'spatial', 'yangmills', 'fields', 'plus', 'an', 'adjoint', 'higgs', 'scalar', 'the', 'poor', 'convergence', 'of', 'the', 'perturbative', 'series', 'within', 'eqcd', 'suggests', 'to', 'perform', 'lattice', 'measurements', 'of', 'some', 'of', 'the', 'associated', 'gluon', 'condensates', 'these', 'turn', 'out', 'however', 'to', 'be', 'plagued', 'by', 'large', 'discretization', 'artifacts', 'we', 'discuss', 'how', 'numerical', 'stochastic', 'perturbation', 'theory', 'can', 'be', 'exploited', 'to', 'determine', 'the', 'full', 'lattice', 'spacing', 'dependence', 'of', 'one', 'of', 'these', 'condensates', 'up', 'to', '4loop', 'order', 'and', 'sharpen', 'our', 'tools', 'on', 'a', 'concrete', '2loop', 'example']] | [-0.07423999583275587, 0.17561943477559516, -0.12687341468043478, 0.1022678765596128, -0.09097773667571007, -0.07929186504242905, 0.03235738972366294, 0.32114934120509847, -0.2607634434357797, -0.24556443955311003, 0.1027968146007362, -0.2679487242221869, -0.09810932490098126, 0.12919998483038417, -0.021697448710363137, 0.08287139082448465, 0.022261229247840887, -0.0030246376717353567, -0.08962869107741497, -0.27347274761939167, 0.30967569035277065, 0.03980151012393774, 0.21612003512735314, 0.11769712871960912, 0.05384082568571994, -0.012550050773950038, -0.06980490019800616, 0.018443373269310184, -0.1258811960270738, 0.09896242889740012, 0.22877070106858133, -0.013768827840548885, 0.20407068871381676, -0.4480633790805644, -0.22189967652928888, 0.0530970058148252, 0.1904044739406113, 0.14945482438676716, 0.00823089128072538, -0.2746915354019068, 0.0819355716116215, -0.19158782058066742, -0.19017501508556856, -0.21454169331392384, -0.10284410139052745, -0.0566649029873695, -0.3075952379160798, 0.0743461958227985, -0.03706000977556458, 0.04372533327699, 0.017830981165353282, -0.12395180633528997, -0.01910762728292349, 0.0983888560942575, 0.1177144691841129, 0.06377464679398519, 0.1162722974549979, -0.16149958167957, -0.1519034290697663, 0.4132852492689648, -0.086591187466219, -0.1801307279178325, 0.18714693876430757, -0.1333907848479701, -0.1218249656250883, 0.16510289502056205, 0.17693086515646428, 0.09760823507602646, -0.14436032723489345, 0.11790479882106678, 0.024333737553188614, 0.18506264313142382, 0.10795213673298028, 0.0219136657668095, 0.2242790684195272, 0.12070767328316602, 0.006435849772327963, 0.13530678906610383, -0.008123475919573513, -0.13120969185861303, -0.35545070971563164, -0.0654831039262753, -0.135956204048924, 0.0791162253521821, -0.128669960255245, -0.18614777235551647, 0.3507527460745883, 0.17493016604395747, 0.1714581926444582, -0.011823974738089257, 0.29089503691476937, 0.1504892119726933, 0.09605501669312955, 0.006861229591509875, 0.25541022871581004, 0.21460841923230783, 0.09013221532051616, -0.2840382894021733, -0.1154633737762696, 0.1350142875864335] |
711.1177 | Considerations on P vs NP | In order to prove that the P of problems is different to the NP class, we
consider the satisfability problem of propositional calculus formulae, which is
an NP-complete problem. It is shown that, for every search algorithm A, there
is a set E(A) containing propositional calculus formulae, each of which
requires the algorithm A to take non-polynomial time to find the truth-values
of its propositional letters satisfying it. Moreover, E(A)'s size is an
exponential function of n, which makes it impossible to detect such formulae in
a polynomial time. Hence, the satisfability problem does not have a polynomial
complexity
| cs.CC cs.LO | in order to prove that the p of problems is different to the np class we consider the satisfability problem of propositional calculus formulae which is an npcomplete problem it is shown that for every search algorithm a there is a set ea containing propositional calculus formulae each of which requires the algorithm a to take nonpolynomial time to find the truthvalues of its propositional letters satisfying it moreover eas size is an exponential function of n which makes it impossible to detect such formulae in a polynomial time hence the satisfability problem does not have a polynomial complexity | [['in', 'order', 'to', 'prove', 'that', 'the', 'p', 'of', 'problems', 'is', 'different', 'to', 'the', 'np', 'class', 'we', 'consider', 'the', 'satisfability', 'problem', 'of', 'propositional', 'calculus', 'formulae', 'which', 'is', 'an', 'npcomplete', 'problem', 'it', 'is', 'shown', 'that', 'for', 'every', 'search', 'algorithm', 'a', 'there', 'is', 'a', 'set', 'ea', 'containing', 'propositional', 'calculus', 'formulae', 'each', 'of', 'which', 'requires', 'the', 'algorithm', 'a', 'to', 'take', 'nonpolynomial', 'time', 'to', 'find', 'the', 'truthvalues', 'of', 'its', 'propositional', 'letters', 'satisfying', 'it', 'moreover', 'eas', 'size', 'is', 'an', 'exponential', 'function', 'of', 'n', 'which', 'makes', 'it', 'impossible', 'to', 'detect', 'such', 'formulae', 'in', 'a', 'polynomial', 'time', 'hence', 'the', 'satisfability', 'problem', 'does', 'not', 'have', 'a', 'polynomial', 'complexity']] | [-0.11197888976900199, 0.04907958033855363, -0.11402956900572536, 0.10196513051491682, -0.12928004166101942, -0.16244067835875534, 0.02224807313295326, 0.35777135468041055, -0.3289967566879109, -0.30068147362144004, 0.06466236701611468, -0.2312104693835018, -0.13365530895511385, 0.1780130585886049, -0.08328632834941299, 0.06474378693677166, 0.03049178168441009, 0.10442207626659762, -0.04816633192446045, -0.2850977937535693, 0.26163581620215093, -0.0416326058106591, 0.15678305080339236, 0.047970995198784755, 0.12931576720203716, -0.0015986965207213705, 0.01333622235071027, 0.02979113140867816, -0.09681404081971097, 0.05691786454590696, 0.31281557716805525, 0.23703731466413974, 0.31890796463597904, -0.39566683417716475, -0.10518394452002314, 0.2327489619604265, 0.11754929335938409, 0.10787831849037585, 0.02517617231169057, -0.2102485982197892, 0.11820221599896974, -0.12441979605243589, -0.11603369208927633, -0.0412022683186212, 0.13165937761089416, -0.0375571662202628, -0.3093384391665835, -0.0296631914215407, 0.14340371329977056, 0.009438637818087531, -0.03444675809463881, -0.1001482354194829, 0.06500088221468785, 0.050017145899773546, 0.016071914178977787, 0.056160325419646925, 0.03583450188491061, -0.08425713592030183, -0.1711662138595876, 0.3986733982132541, 0.021966068754960415, -0.24452898283771268, 0.13650108207807396, -0.10600428243703915, -0.18163552567964852, 0.15036993709891433, 0.10551107605223102, 0.1755815883486936, -0.12325061595236714, 0.18285952654262685, -0.11767329949229448, 0.2379144850196411, 0.08887493541943982, 0.0035504502893397303, 0.0957366233559871, 0.14569898222036887, 0.12422208337000373, 0.16826384947305978, -0.005352776083681319, -0.07500528062533851, -0.2900614034422118, -0.17155672335583302, -0.17236756429904038, 0.031218329581080447, -0.0947190875215738, -0.2517255814002258, 0.34102826956847704, 0.14436199884824077, 0.1457655815821555, 0.159317065974594, 0.25960748742400397, 0.18692621019462505, 0.0942711872236822, 0.08134090663732037, 0.12606243181484517, 0.10179482128781576, 0.07346170302495159, -0.19930778795175932, 0.11656274231188375, 0.109962423205037] |
711.1178 | Functional Determinants in Quantum Field Theory | Functional determinants of differential operators play a prominent role in
theoretical and mathematical physics, and in particular in quantum field
theory. They are, however, difficult to compute in non-trivial cases. For one
dimensional problems, a classical result of Gel'fand and Yaglom dramatically
simplifies the problem so that the functional determinant can be computed
without computing the spectrum of eigenvalues. Here I report recent progress in
extending this approach to higher dimensions (i.e., functional determinants of
partial differential operators), with applications in quantum field theory.
| hep-th | functional determinants of differential operators play a prominent role in theoretical and mathematical physics and in particular in quantum field theory they are however difficult to compute in nontrivial cases for one dimensional problems a classical result of gelfand and yaglom dramatically simplifies the problem so that the functional determinant can be computed without computing the spectrum of eigenvalues here i report recent progress in extending this approach to higher dimensions ie functional determinants of partial differential operators with applications in quantum field theory | [['functional', 'determinants', 'of', 'differential', 'operators', 'play', 'a', 'prominent', 'role', 'in', 'theoretical', 'and', 'mathematical', 'physics', 'and', 'in', 'particular', 'in', 'quantum', 'field', 'theory', 'they', 'are', 'however', 'difficult', 'to', 'compute', 'in', 'nontrivial', 'cases', 'for', 'one', 'dimensional', 'problems', 'a', 'classical', 'result', 'of', 'gelfand', 'and', 'yaglom', 'dramatically', 'simplifies', 'the', 'problem', 'so', 'that', 'the', 'functional', 'determinant', 'can', 'be', 'computed', 'without', 'computing', 'the', 'spectrum', 'of', 'eigenvalues', 'here', 'i', 'report', 'recent', 'progress', 'in', 'extending', 'this', 'approach', 'to', 'higher', 'dimensions', 'ie', 'functional', 'determinants', 'of', 'partial', 'differential', 'operators', 'with', 'applications', 'in', 'quantum', 'field', 'theory']] | [-0.08995472970196888, 0.06973402358458511, -0.06878537583785753, 0.09940189523262061, -0.047854827744664534, -0.11669701828976117, 0.013615267681113133, 0.3056323169896911, -0.2628187867424761, -0.2930204977857925, 0.0909822398361506, -0.2635419373996445, -0.24460835124011196, 0.20434075565121712, -0.07445339649400141, 0.09240351464333278, 0.05562421749900317, 0.04504343840692725, -0.09406146452446203, -0.2401090242838975, 0.3648729126351619, 0.018000710165194635, 0.23272890521357545, 0.0896065274220226, 0.042723740658922385, 0.029554094609227918, -0.04259878753163364, 0.027654474080203988, -0.10094444646122047, 0.19031091938987152, 0.34176626879100996, 0.08765859089769601, 0.27954948372540195, -0.5008128854180021, -0.22289618425115587, 0.07601472582956333, 0.15458781904696176, 0.11280914688748973, -0.039191004554075856, -0.24081122724428064, 0.06518984237863194, -0.16333249195789298, -0.16535599145018273, -0.10982941618255739, 0.039120762750306834, -0.03599746282617118, -0.2400416401907846, 0.11408387041938979, 0.052561598974058314, 0.06681079039671681, -0.014555551477574877, -0.1256742331786968, 0.036916289456366075, 0.12366046804735172, 0.032873305558626144, -0.009120175820065751, 0.09260405567363791, -0.1729439433780672, -0.17226114762680872, 0.3421992897277787, -0.05144771138605263, -0.20429460002785726, 0.1433031821174414, -0.1600007273788963, -0.20961786465652818, 0.0865690330420399, 0.14792005908453748, 0.15775118794824397, -0.10658013301768474, 0.2053907516812961, -0.007576346840886842, 0.10427985107249003, 0.053541707889443, 0.08095519445348709, 0.14360588287291604, 0.07564585625160751, 0.06354117513650895, 0.0798095210629981, 0.034663009703979786, -0.18417666685057893, -0.283654021498348, -0.21047865892649584, -0.1489294063344243, 0.07981658684834006, -0.06169448648645249, -0.19243459411275884, 0.37729947694987503, 0.1430386116162048, 0.15538568171628175, 0.006279880009103744, 0.23445379197420108, 0.22347515244923888, 0.061067932728855384, 0.022289674980302585, 0.2026592445825892, 0.21879744525289252, 0.1282158991865193, -0.18562037978942195, -0.021687188128929676, 0.11999207470078199] |
711.1179 | Holographic glueball structure | We derive and systematically analyze scalar glueball correlation functions in
both the hard-wall and dilaton soft-wall approximations to holographic QCD. The
dynamical content of the holographic correlators is uncovered by examining
their spectral density and by relating them to the operator product expansion,
a dilatational low-energy theorem and a recently suggested two-dimensional
power correction associated with the short-distance behavior of the heavy-quark
potential. This approach provides holographic estimates for the three
lowest-dimensional gluon condensates or alternatively their Wilson
coefficients, the two leading moments of the instanton size distribution in the
QCD vacuum and an effective UV gluon mass. A remarkable complementarity between
the nonperturbative physics of the hard- and soft-wall correlators emerges, and
their ability to describe detailed QCD results can be assessed quantitatively.
We further provide the first holographic estimates for the decay constants of
the 0++ glueball and its excitations. The hard-wall background turns out to
encode more of the relevant QCD physics, and its prediction f ~ 0.8-0.9 GeV for
the phenomenologically important ground state decay constant agrees inside
errors with recent QCD sum rule and lattice results.
| hep-ph hep-lat hep-th | we derive and systematically analyze scalar glueball correlation functions in both the hardwall and dilaton softwall approximations to holographic qcd the dynamical content of the holographic correlators is uncovered by examining their spectral density and by relating them to the operator product expansion a dilatational lowenergy theorem and a recently suggested twodimensional power correction associated with the shortdistance behavior of the heavyquark potential this approach provides holographic estimates for the three lowestdimensional gluon condensates or alternatively their wilson coefficients the two leading moments of the instanton size distribution in the qcd vacuum and an effective uv gluon mass a remarkable complementarity between the nonperturbative physics of the hard and softwall correlators emerges and their ability to describe detailed qcd results can be assessed quantitatively we further provide the first holographic estimates for the decay constants of the 0 glueball and its excitations the hardwall background turns out to encode more of the relevant qcd physics and its prediction f 0809 gev for the phenomenologically important ground state decay constant agrees inside errors with recent qcd sum rule and lattice results | [['we', 'derive', 'and', 'systematically', 'analyze', 'scalar', 'glueball', 'correlation', 'functions', 'in', 'both', 'the', 'hardwall', 'and', 'dilaton', 'softwall', 'approximations', 'to', 'holographic', 'qcd', 'the', 'dynamical', 'content', 'of', 'the', 'holographic', 'correlators', 'is', 'uncovered', 'by', 'examining', 'their', 'spectral', 'density', 'and', 'by', 'relating', 'them', 'to', 'the', 'operator', 'product', 'expansion', 'a', 'dilatational', 'lowenergy', 'theorem', 'and', 'a', 'recently', 'suggested', 'twodimensional', 'power', 'correction', 'associated', 'with', 'the', 'shortdistance', 'behavior', 'of', 'the', 'heavyquark', 'potential', 'this', 'approach', 'provides', 'holographic', 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711.118 | Convergence of Diagonal Ergodic Averages | Tao has recently proved that if $T_1,...,T_l$ are commuting, invertible,
measure-preserving transformations on a dynamical system then for any
$L^\infty$ functions $f_1,...,f_l$, the average
$\frac{1}{N}\sum_{n=0}^{N-1}\prod_{i\leq l}f_i\circ T^n_i$ converges in the
$L^2$ norm. Tao's proof is unusual in that it translates the problem into a
more complicated statement about the combinatorics of finite spaces by using
the Furstenberg correspondence "backwards". In this paper, we give an ergodic
proof of this theorem, essentially a translation of Tao's argument to the
ergodic setting. In order to do this, we develop two new variations on the
usual Furstenberg correspondence, both of which take recurrence-type statements
in one dynamical system and give equivalent statements in a different dynamical
system with desirable properties.
| math.DS math.LO | tao has recently proved that if t_1t_l are commuting invertible measurepreserving transformations on a dynamical system then for any linfty functions f_1f_l the average frac1nsum_n0n1prod_ileq lf_icirc tn_i converges in the l2 norm taos proof is unusual in that it translates the problem into a more complicated statement about the combinatorics of finite spaces by using the furstenberg correspondence backwards in this paper we give an ergodic proof of this theorem essentially a translation of taos argument to the ergodic setting in order to do this we develop two new variations on the usual furstenberg correspondence both of which take recurrencetype statements in one dynamical system and give equivalent statements in a different dynamical system with desirable properties | [['tao', 'has', 'recently', 'proved', 'that', 'if', 't_1t_l', 'are', 'commuting', 'invertible', 'measurepreserving', 'transformations', 'on', 'a', 'dynamical', 'system', 'then', 'for', 'any', 'linfty', 'functions', 'f_1f_l', 'the', 'average', 'frac1nsum_n0n1prod_ileq', 'lf_icirc', 'tn_i', 'converges', 'in', 'the', 'l2', 'norm', 'taos', 'proof', 'is', 'unusual', 'in', 'that', 'it', 'translates', 'the', 'problem', 'into', 'a', 'more', 'complicated', 'statement', 'about', 'the', 'combinatorics', 'of', 'finite', 'spaces', 'by', 'using', 'the', 'furstenberg', 'correspondence', 'backwards', 'in', 'this', 'paper', 'we', 'give', 'an', 'ergodic', 'proof', 'of', 'this', 'theorem', 'essentially', 'a', 'translation', 'of', 'taos', 'argument', 'to', 'the', 'ergodic', 'setting', 'in', 'order', 'to', 'do', 'this', 'we', 'develop', 'two', 'new', 'variations', 'on', 'the', 'usual', 'furstenberg', 'correspondence', 'both', 'of', 'which', 'take', 'recurrencetype', 'statements', 'in', 'one', 'dynamical', 'system', 'and', 'give', 'equivalent', 'statements', 'in', 'a', 'different', 'dynamical', 'system', 'with', 'desirable', 'properties']] | [-0.13428692820404345, 0.09887558774700442, -0.17980990090980317, 0.11951207414293956, -0.05501808895292414, -0.1307491032608883, 0.055203208504775704, 0.3154255220372426, -0.30120769556481064, -0.2033060657538539, 0.12557877989673757, -0.26050703989529755, -0.1398587183063858, 0.1938731842112662, -0.16927027037334547, 0.03980669031622248, 0.07095605244026765, 0.05908195841894077, -0.1224578956771119, -0.26552767120301723, 0.3540646392410915, -0.07238459455568277, 0.22353470954521185, 0.051893757464233456, 0.11734644976738644, 0.05374417141725293, -0.02427284850069044, -0.019678622102283203, -0.14198904444339477, 0.12268040843794056, 0.244180716939777, 0.1301987504692781, 0.2901532508008051, -0.37380188971496464, -0.16225691090323635, 0.14209082097697415, 0.13666561056794435, 0.054626065135827254, -0.023784323526661752, -0.3016846779929964, 0.10703985756794154, -0.13153797932165234, -0.1402065280800391, -0.10186951631974232, 0.05267085527935833, 0.007010962928465584, -0.25230490839876757, 0.03874237375873092, 0.2051375919154931, 0.11198646678148132, -0.07066570318573595, -0.035286218321089746, 0.017446795531564897, 0.10145922461851385, 0.05806068748260211, 0.06486674507450835, 0.0551332296035661, 0.006437023143741514, -0.10036646470574564, 0.3413755134924462, -0.06486957790656832, -0.24469068821258189, 0.1873729598316315, -0.13312440066038744, -0.21680151204284476, 0.10056397934003096, 0.11608580149416077, 0.12604889333280817, -0.15685921358434776, 0.13187089686541362, -0.14282873335800933, 0.15524617317459433, 0.09525293511085278, 0.05661025950419635, 0.11357553709776287, 0.08970199104627236, 0.14193032255902754, 0.14524155744073683, 0.06439051148073192, -0.08745236277300455, -0.2937369838422328, -0.16725624665381028, -0.15117552416529834, 0.12043120292129747, -0.09445533773179161, -0.17345617792830526, 0.34990738276719, 0.15350055648422425, 0.15083742951320714, 0.12066662238539082, 0.23859985250154542, 0.14666442806513882, 0.017029971194763977, 0.0609447098441275, 0.17818092786004408, 0.18329598573485814, 0.1004879490509139, -0.13879500467967437, 0.032326229517103025, 0.22138108811831395] |
711.1181 | Gorenstein categories and Tate cohomology on projective schemes | We study Gorenstein categories. We show that such a category has Tate
cohomological functors and Avramov-Martsinkovsky exact sequences connecting the
Gorenstein relative, the absolute and the Tate cohomological functors. We show
that such a category has what Hovey calls an injective model structure and also
a projective model structure in case the category has enough projectives. As
examples we show that if X is a locally Gorenstein projective scheme then the
category Qco(X) of quasi-coherent sheaves on $X$ is such a category and so has
these features.
| math.CT math.AG | we study gorenstein categories we show that such a category has tate cohomological functors and avramovmartsinkovsky exact sequences connecting the gorenstein relative the absolute and the tate cohomological functors we show that such a category has what hovey calls an injective model structure and also a projective model structure in case the category has enough projectives as examples we show that if x is a locally gorenstein projective scheme then the category qcox of quasicoherent sheaves on x is such a category and so has these features | [['we', 'study', 'gorenstein', 'categories', 'we', 'show', 'that', 'such', 'a', 'category', 'has', 'tate', 'cohomological', 'functors', 'and', 'avramovmartsinkovsky', 'exact', 'sequences', 'connecting', 'the', 'gorenstein', 'relative', 'the', 'absolute', 'and', 'the', 'tate', 'cohomological', 'functors', 'we', 'show', 'that', 'such', 'a', 'category', 'has', 'what', 'hovey', 'calls', 'an', 'injective', 'model', 'structure', 'and', 'also', 'a', 'projective', 'model', 'structure', 'in', 'case', 'the', 'category', 'has', 'enough', 'projectives', 'as', 'examples', 'we', 'show', 'that', 'if', 'x', 'is', 'a', 'locally', 'gorenstein', 'projective', 'scheme', 'then', 'the', 'category', 'qcox', 'of', 'quasicoherent', 'sheaves', 'on', 'x', 'is', 'such', 'a', 'category', 'and', 'so', 'has', 'these', 'features']] | [-0.16446836901938214, -0.039947927286951145, -0.14630825106492815, 0.14048623290625126, -0.07133919213186292, -0.18374310905004249, -0.07293652413303361, 0.44344468513394103, -0.4587475094944239, -0.13998485238236538, 0.09495326044339249, -0.21421144108822132, -0.16925319113275583, 0.1340060796314741, -0.2665409911150003, -0.08049139408394694, 0.08486327928326586, 0.14501113542081678, -0.043322863459915796, -0.3151227365905309, 0.49743341163540367, -0.0462813810500152, 0.28482268006705186, 0.07370428295586916, 0.1662205975256203, -0.04180319276912248, 0.054108430067186845, 0.01745827251168735, -0.15416209574725465, 0.08866768560016199, 0.35373725189882166, 0.07065276299219797, 0.17853488567257847, -0.34885322898626325, -0.07711567293633433, 0.23582686665741837, 0.12231380786089337, 0.07195251171531923, -0.04630303061978124, -0.2901733420104446, 0.1380734332741293, -0.2773799153209171, -0.03926083813695347, -0.12092333844698527, 0.1380814456682214, 0.013098326289807172, -0.2544606777414789, -0.09915751984979793, 0.07419613161276656, 0.14687146535691092, -0.12058559433721444, -0.03156682803870781, -0.16766702156404362, 0.05472117069122546, -0.0827340888489476, 0.030735024155172354, 0.12224859637482201, -0.13395425585810752, -0.11200797192423659, 0.341714904818903, -0.05946949729421998, -0.21643445042564588, 0.15968645567567472, -0.1582688192384975, -0.1285621742334436, 0.12586454487241366, -0.05342319888227126, 0.2052491227603134, 0.056413950594416, 0.23600627532064478, -0.24439303822377148, 0.10953478607184747, 0.07227011582649806, 0.05727211221066468, 0.12515155687270796, 0.15999619907096904, 0.014266070186653558, 0.10154276708798374, -0.05989543990341618, 0.05063046885325628, -0.35107529384686664, -0.2292223133297418, -0.044067205762600196, 0.18466024907196268, -0.05963193863452248, -0.14254408956450573, 0.40303548996157856, 0.14822431625250507, 0.18649162358659155, 0.17603559346650452, 0.25613130311317306, -0.03999795004424146, 0.04727921370992108, 0.028984252133351915, 0.14160065868705074, 0.23553062675192077, -0.05193655014805058, -0.004825698589796529, 0.02997659937314251, 0.2677637681365013] |
711.1182 | Conformal Graph Directed Markov Systems | We present the main concepts and results for Graph Directed Markov Systems
that have a finitely irreducible incidence matrix. We then see how these
results change when the incidence matrix is not assumed to be finitely
irreducible.
| math.DS | we present the main concepts and results for graph directed markov systems that have a finitely irreducible incidence matrix we then see how these results change when the incidence matrix is not assumed to be finitely irreducible | [['we', 'present', 'the', 'main', 'concepts', 'and', 'results', 'for', 'graph', 'directed', 'markov', 'systems', 'that', 'have', 'a', 'finitely', 'irreducible', 'incidence', 'matrix', 'we', 'then', 'see', 'how', 'these', 'results', 'change', 'when', 'the', 'incidence', 'matrix', 'is', 'not', 'assumed', 'to', 'be', 'finitely', 'irreducible']] | [-0.049045752532578805, 0.19980547242370006, -0.10746256075799465, 0.045479203363553294, -0.11316487658768892, -0.12992178549285274, -0.046226417173858024, 0.4831911353646098, -0.34349205888606404, -0.19498761589764743, 0.14667626382229296, -0.2768177300993655, -0.24351164560160926, 0.16582072848403775, -0.10196418831175244, 0.001430540081314944, 0.13728772152869687, 0.08481274238107978, -0.046191184699686395, -0.2903521532559377, 0.3950794331125311, -0.05478231432671483, 0.20753546159815145, 0.09524291051501357, 0.09865345569277131, 0.06435078400111682, -0.0189911693435263, 0.027608938364161027, -0.13409704506822792, 0.08095662843284977, 0.395539004154302, 0.17081958226658203, 0.19083558199172085, -0.3937214430220224, -0.14369544877695875, 0.22898742542727976, 0.14342481318257144, 0.08991660791877154, -0.03624986897449236, -0.24070599514084892, 0.14342193302975312, -0.2115413946779193, -0.11131297255790717, -0.03200777621335677, 0.06129345106514725, 0.038301703872511514, -0.23395465977640972, -0.013892484300241276, 0.12409727808994216, 0.07033062988036387, 0.014832593173392722, -0.14523157711468032, -0.02225497439251961, 0.12495610910559048, -0.00953547010273748, -0.041128965296052596, 0.12313919670477107, -0.029169939156319644, -0.14713647625585263, 0.3235949996758152, -0.01144888245727162, -0.27699185671234455, 0.17087380479819872, -0.1831417252636842, -0.19575521239155047, 0.15393383098715865, 0.14558449614088279, 0.09239819186513086, -0.1059450994932401, 0.11257514907393253, -0.1457997967262526, 0.12702471722622174, 0.010756754996003332, -0.0564460394576796, 0.13003225936680227, 0.07510852362532672, 0.08006901916343014, 0.10056203642444736, 0.05482521320919733, 0.0061085844362104265, -0.3229448804883538, -0.11129924277397427, -0.1812838218300729, 0.09952103364874446, -0.10607220325579653, -0.1543095947268444, 0.41294985272090984, 0.1752059854113975, 0.15371924130296385, 0.11509227621167697, 0.2283163647091872, 0.12408098601106857, 0.002173482515924686, 0.09631324163008784, 0.14706847227707104, 0.2500920307293937, -0.01500880959871653, -0.10619272034917329, 0.106655812941844, 0.09373672613622369] |
711.1183 | A Precise Measurement of the Muon Neutrino-Nucleon Inclusive Charged
Current Cross-Section off an Isoscalar Target in the Energy Range 2.5 < E_\nu
< 40 GeV by NOMAD | We present a measurement of the muon neutrino-nucleon inclusive charged
current cross-section, off an isoscalar target, in the neutrino energy range
$2.5 \leq E_\nu \leq 40$ GeV. The significance of this measurement is its
precision, $\pm 4$% in $2.5 \leq E_\nu \leq 10$ GeV, and $\pm 2.6$% in $10 \leq
E_\nu \leq 40$ GeV regions, where significant uncertainties in previous
experiments still exist, and its importance to the current and proposed long
baseline neutrino oscillation experiments.
| hep-ex | we present a measurement of the muon neutrinonucleon inclusive charged current crosssection off an isoscalar target in the neutrino energy range 25 leq e_nu leq 40 gev the significance of this measurement is its precision pm 4 in 25 leq e_nu leq 10 gev and pm 26 in 10 leq e_nu leq 40 gev regions where significant uncertainties in previous experiments still exist and its importance to the current and proposed long baseline neutrino oscillation experiments | [['we', 'present', 'a', 'measurement', 'of', 'the', 'muon', 'neutrinonucleon', 'inclusive', 'charged', 'current', 'crosssection', 'off', 'an', 'isoscalar', 'target', 'in', 'the', 'neutrino', 'energy', 'range', '25', 'leq', 'e_nu', 'leq', '40', 'gev', 'the', 'significance', 'of', 'this', 'measurement', 'is', 'its', 'precision', 'pm', '4', 'in', '25', 'leq', 'e_nu', 'leq', '10', 'gev', 'and', 'pm', '26', 'in', '10', 'leq', 'e_nu', 'leq', '40', 'gev', 'regions', 'where', 'significant', 'uncertainties', 'in', 'previous', 'experiments', 'still', 'exist', 'and', 'its', 'importance', 'to', 'the', 'current', 'and', 'proposed', 'long', 'baseline', 'neutrino', 'oscillation', 'experiments']] | [-0.09826139852367832, 0.2752345151003331, 0.08519827957436639, 0.1290918244539123, 0.03820776234466681, -0.10241998582281858, 0.06066687098446939, 0.3859694801074894, -0.16748172744471385, -0.43640268954301353, -0.017853891991667058, -0.38761488547989803, 0.12757005476343788, 0.2057725041645187, 0.05353839623153602, 0.0194277916406894, 0.06516691870791347, -0.005486852146292988, -0.10604543259404109, -0.1913556394804465, 0.13036001257990537, 0.09561104942603331, 0.23091055876054606, 0.18107299287313303, 0.10685339663943619, -0.0035015886961972634, -1.8424372874984617e-05, -0.15099521301147578, -0.2072528440039605, -0.006763058961951174, 0.2738155806437135, 0.100145088851844, 0.1531914831874402, -0.27429596629257214, -0.08131429956809275, 0.19077375972349392, 0.1959723329514657, -0.042481648165879675, -0.03624837686258711, -0.29486070592936714, 0.13952615988857456, -0.24421158050628086, -0.1147200588418759, 0.04115950941157184, 0.06578381123070262, -0.06783707067370415, -0.28641680396456076, 0.18645656246563272, -0.048814660489657206, 0.08340740159742142, -0.027960244262909616, -0.31437293903926683, 0.05283538122220259, -0.00724660537181128, 0.09651867301191057, 0.13038275961298496, 0.12882125633768737, -0.12011038096266259, -0.07098393921899658, 0.32658208678721595, -0.04988843643131029, -0.1005777235167395, 0.05869869635391392, -0.26820006963220966, -0.14455438367593543, 0.19503272797814325, 0.17530244246345797, 0.13776744185413822, -0.17327181279267134, 0.11606654365880929, -0.03533478026694961, 0.27809915897485454, 0.08933479105440997, -0.012214928130178075, 0.16618971889348408, 0.25147979633000334, 0.0575075695462721, -0.11526207722061754, -0.2801049245202816, 0.0215167612033455, -0.39653615849582774, -0.05860753188301858, -0.035695762569574935, 0.1692751559894532, -0.12521324817058294, 0.08342992502117627, 0.3748512233386895, 0.16205997430523367, 0.257104776358526, 0.027178697471850012, 0.29083085955904897, 0.006145349256449232, 0.0172173590705681, 0.0756489962376164, 0.35597020519995376, 0.16282092509056, 0.15488036270988614, -0.1571861379894759, -0.06627353547925227, -0.09410317134308188] |
711.1184 | Muonic atoms with extreme nuclear charge | Bound muons (also pions, kaons, etc) increase the fission barrier and produce
some stabilizing effects for highly charged nuclei. If the binding energy of
the muon exceeds $mc^2$, it becomes stable. The $1s$ state of a muon inside an
exotic nucleus with atomic number $A= 5Z/2$ and such large charge $Z$ that the
$1s$ energy $E$ is in the range $0\le E<-mc^2$ is considered.
| physics.atom-ph hep-ph nucl-th | bound muons also pions kaons etc increase the fission barrier and produce some stabilizing effects for highly charged nuclei if the binding energy of the muon exceeds mc2 it becomes stable the 1s state of a muon inside an exotic nucleus with atomic number a 5z2 and such large charge z that the 1s energy e is in the range 0le emc2 is considered | [['bound', 'muons', 'also', 'pions', 'kaons', 'etc', 'increase', 'the', 'fission', 'barrier', 'and', 'produce', 'some', 'stabilizing', 'effects', 'for', 'highly', 'charged', 'nuclei', 'if', 'the', 'binding', 'energy', 'of', 'the', 'muon', 'exceeds', 'mc2', 'it', 'becomes', 'stable', 'the', '1s', 'state', 'of', 'a', 'muon', 'inside', 'an', 'exotic', 'nucleus', 'with', 'atomic', 'number', 'a', '5z2', 'and', 'such', 'large', 'charge', 'z', 'that', 'the', '1s', 'energy', 'e', 'is', 'in', 'the', 'range', '0le', 'emc2', 'is', 'considered']] | [-0.07893353851053804, 0.3409629817111954, -0.016225084159818905, 0.1715808814162359, 0.031360614501560725, -0.1561613321038229, 0.024735006991596448, 0.3136592613207915, -0.2052287801006247, -0.30210119970734156, -0.058035202400152766, -0.39407251010988914, 0.08831690329991813, 0.140581577454531, 0.06755260025550212, -0.006506574295815967, 0.04623314943755903, 0.06984433194711095, -0.028748130983865215, -0.15600000886571785, 0.27842004632665995, 0.10600391986765086, 0.21218073003119714, 0.16388695408594295, 0.08666636253012315, 0.038613746327067176, 0.08390422880146949, -0.03306819693673225, -0.12557107716531304, 0.04230704201414945, 0.20815963930790388, 0.047150862621261724, 0.2044796174140795, -0.3694877920169679, -0.12184846339126428, 0.1934913420340135, 0.17182952427260934, 0.11026288279228741, -0.13301208574834855, -0.24406333833873745, 0.10409120035298641, -0.2368052290042951, -0.15956823342287588, -0.06505078683415103, 0.08240209752693772, 0.06041657288987485, -0.27557624214225346, 0.08171814621660843, 0.023894720766249867, -0.010587846993335657, -0.13657129122062572, -0.18920177554467782, -0.04181108103385047, 0.0372916849566594, 0.12395283477085214, 0.07734219934273925, 0.2212713383552101, -0.14013266330677276, -0.07315878360901797, 0.3725818053538364, 0.01979139405820105, -0.17404059131467153, 0.10891098644407023, -0.1809169728057607, -0.07354099906995774, 0.26097626846638466, 0.11259769714836564, 0.14092850835905188, -0.0873444501739291, 0.10037216118219057, -0.03569087680634333, 0.2163004292441266, 0.0680272476599803, 0.09642324153895653, 0.180037459062915, 0.1812419702727643, 0.09919714070265255, 0.04585691979007116, -0.14528146324058375, -0.03208938900322195, -0.31791342697328046, -0.17788553508164892, -0.13898606889600318, 0.11499518334924702, -0.03186334550541471, -0.13654881198373106, 0.3252739178548966, -0.020823233664804507, 0.22584276539061057, -0.05713225805038025, 0.29799448793369626, 0.08578400337137282, 0.03560822726123863, 0.07134289233871395, 0.2707732247086131, 0.14484189817356685, 0.10331210573869092, -0.2805288834774512, 0.05154099138010116, 0.038256233465665625] |
711.1185 | Complete r-partite subgraphs of dense r-graphs | We determine how large r-partite graphs can be found in r-uniform graphs with
n vertices and Cn^r edges, where C is a slowly decreasing function of n. This
refines results of Erdos from 1964.
| math.CO | we determine how large rpartite graphs can be found in runiform graphs with n vertices and cnr edges where c is a slowly decreasing function of n this refines results of erdos from 1964 | [['we', 'determine', 'how', 'large', 'rpartite', 'graphs', 'can', 'be', 'found', 'in', 'runiform', 'graphs', 'with', 'n', 'vertices', 'and', 'cnr', 'edges', 'where', 'c', 'is', 'a', 'slowly', 'decreasing', 'function', 'of', 'n', 'this', 'refines', 'results', 'of', 'erdos', 'from', '1964']] | [-0.14199632647282937, 0.20259780109421732, -0.04044292967163903, -0.007816281388787663, -0.06412348511409671, -0.19845971019993372, 0.04655531026861247, 0.3301521794980063, -0.23227960649220383, -0.37465868988896117, 0.026077973187271068, -0.3842010675546001, -0.15047499062219524, 0.026904525618781063, -0.14921095252365751, 0.009496468886294785, 0.12989337736850276, 0.04115827398045974, 0.06430944860638942, -0.3232672513626954, 0.24953141041538296, -0.026922808247892296, 0.12627800699213848, 0.10271479107220383, -0.05888552062542123, 0.023632755906767083, 0.022936938001829034, 0.11557546181275564, -0.2014611318214413, 0.04312159101862241, 0.28193514070966663, 0.19577442558810992, 0.24740219214821563, -0.38157636283294244, -0.11849301113911412, 0.19842694853158557, 0.202444929848699, 0.058660197434672975, 0.06800025370081558, -0.2309301799053655, 0.14140938325127697, -0.0740820198210285, -0.13278467383454828, 0.04220860722639105, 0.20160680553560859, 0.06955086982206386, -0.3513328496585874, -0.0204630328944939, 0.09836333557305967, 0.05393651349689154, 0.10497504038914271, -0.2167585213559077, -0.059456245398477596, 0.09771278192398741, -0.05238858422072714, 0.1415730099988115, 0.06303370608400334, -0.07734012323678197, -0.13335988051531947, 0.294244148521958, -0.07574020171245245, -0.11182786468142535, 0.07946102678611436, -0.19502598449916525, -0.1661193728693487, 0.10256282568854444, 0.1248177521971657, 0.2272850869990447, -0.04903475222561289, 0.1600730864533141, -0.15122036575613654, 0.1451721248381278, 0.1705880287267706, -0.007404785931986921, 0.11464500598445096, 0.11005399244673111, 0.13029191322515116, 0.2730005282723783, 0.047360347652369565, 0.04858273913166212, -0.2403454134131179, -0.09336049591793734, -0.29079543862163143, 0.1232812443665941, -0.22941866995011773, -0.15040911367053494, 0.3819602674475926, 0.09592151370666482, 0.27528171854860645, 0.1459097889087656, 0.15001334600588856, 0.057533289264778006, 0.03977479308035553, 0.24202423722154515, 0.12133879603489357, 0.19793615677147447, 0.008984811193145373, -0.13535756922518724, 0.07154863867360879, 0.11249287577126832] |
711.1186 | Degree Complexity of a Family of Birational Maps | We compute the degree complexity of a family of birational mappings of the
plane with high order singularities.
| math.DS math.CV | we compute the degree complexity of a family of birational mappings of the plane with high order singularities | [['we', 'compute', 'the', 'degree', 'complexity', 'of', 'a', 'family', 'of', 'birational', 'mappings', 'of', 'the', 'plane', 'with', 'high', 'order', 'singularities']] | [-0.24476323773463568, -0.014642721818139156, -0.03269781586196688, 0.043522150359219976, -0.08770060404721233, -0.0569194199051708, 0.021391474745339818, 0.2944906966553794, -0.32898425724771285, -0.2471054359856579, 0.07385732706946631, -0.3316526913808452, -0.15531701180669996, 0.13107565448929867, -0.11327250270793836, 0.10432928852323028, -0.055716094121129975, 0.006716378447082307, -0.18637694602107835, -0.3393974960264232, 0.45525999729418093, -0.009226114178697268, 0.19162431685253978, 0.028703393104175728, 0.19954462432199055, -0.005017020480914248, 0.04526179739170604, 0.02473581727180216, -0.20626999432634976, 0.1813439449502362, 0.2946732555412584, 0.10187005463780628, 0.16335242945286962, -0.3106818449580007, -0.1380626300556792, 0.22525365236732695, 0.08789515236599578, 0.07538966896633308, -0.036912985146045685, -0.1499948404315445, 0.0776552699195842, -0.1165857545509223, -0.26841986034479404, -0.09382974765160018, -0.03460037765196628, 0.11037045003225406, -0.18798168624440828, -0.03618065557546086, 0.09935633051726553, 0.17423029590605033, 0.07185060670599341, -0.004626694031887584, -0.09803745874928103, 0.07867879428279896, -0.013465930086870989, 0.11887767336641748, 0.019868160623850092, -0.1196567780441708, -0.11068125395104289, 0.3904879793311314, -0.03815362036564491, -0.21187151037156582, 0.17457168202640283, -0.24963844645147523, -0.16848694521468133, 0.212111577598585, 0.22655046648449367, 0.190649151802063, -0.0008355386348234282, 0.17598289168543285, 0.03517667711195019, 0.15504224329359, 0.14317715897535285, 0.03686864674091339, 0.1182192193551196, 0.08600948523316118, 0.08553020149055454, 0.21414564891407886, -0.06574670722087224, -0.04006972101827463, -0.334081559545464, -0.21933196743743288, -0.11315326126835619, 0.07274981135398978, -0.22979230815286023, -0.1902244206931856, 0.501149385339684, 0.04036859831669264, 0.2549104689516955, 0.1376089485258692, 0.2042132292667197, 0.08756177065273126, 0.014112251138107644, 0.05161124385065503, 0.16312278620898724, 0.152183432959848, -0.04871257487684488, -0.16584428689546055, 0.022560442332178354, 0.16260002470678753] |
711.1187 | Anti-solar differential rotation and surface flow pattern on UZ Librae | We re-investigate UZ Librae spectra obtained at KPNO in 1998 and 2000. From
the 1998 data we compose 11 consecutive Doppler images using the Ca I-6439, Fe
I-6393 and Fe I-6411 lines. Applying the method of average cross-correlation of
contiguous Doppler images we find anti-solar differential rotation with a
surface shear of alpha ~ -0.03. The pilot application of the local correlation
tracking technique for the same data qualitatively confirms this result and
indicates complex flow pattern on the stellar surface. From the
cross-correlation of the two available Doppler images in 2000 we also get
anti-solar differential rotation but with a much weaker shear of alpha ~
-0.004.
| astro-ph | we reinvestigate uz librae spectra obtained at kpno in 1998 and 2000 from the 1998 data we compose 11 consecutive doppler images using the ca i6439 fe i6393 and fe i6411 lines applying the method of average crosscorrelation of contiguous doppler images we find antisolar differential rotation with a surface shear of alpha 003 the pilot application of the local correlation tracking technique for the same data qualitatively confirms this result and indicates complex flow pattern on the stellar surface from the crosscorrelation of the two available doppler images in 2000 we also get antisolar differential rotation but with a much weaker shear of alpha 0004 | [['we', 'reinvestigate', 'uz', 'librae', 'spectra', 'obtained', 'at', 'kpno', 'in', '1998', 'and', '2000', 'from', 'the', '1998', 'data', 'we', 'compose', '11', 'consecutive', 'doppler', 'images', 'using', 'the', 'ca', 'i6439', 'fe', 'i6393', 'and', 'fe', 'i6411', 'lines', 'applying', 'the', 'method', 'of', 'average', 'crosscorrelation', 'of', 'contiguous', 'doppler', 'images', 'we', 'find', 'antisolar', 'differential', 'rotation', 'with', 'a', 'surface', 'shear', 'of', 'alpha', '003', 'the', 'pilot', 'application', 'of', 'the', 'local', 'correlation', 'tracking', 'technique', 'for', 'the', 'same', 'data', 'qualitatively', 'confirms', 'this', 'result', 'and', 'indicates', 'complex', 'flow', 'pattern', 'on', 'the', 'stellar', 'surface', 'from', 'the', 'crosscorrelation', 'of', 'the', 'two', 'available', 'doppler', 'images', 'in', '2000', 'we', 'also', 'get', 'antisolar', 'differential', 'rotation', 'but', 'with', 'a', 'much', 'weaker', 'shear', 'of', 'alpha', '0004']] | [-0.09448941691000991, 0.06122988733255024, -0.08813818204623547, 0.08001721738408166, -0.04136447671764684, -0.10854052205669504, 0.037716913208799455, 0.40191352779714806, -0.24207354465372932, -0.36671502913520176, 0.05840297429189448, -0.311074126032588, -0.09451530611332397, 0.215014472043196, -0.03878871448229528, 0.01978947992608385, 0.07017224576568358, -0.03540291284997631, -0.07274503287524708, -0.2168137494302852, 0.27596036545498276, 0.034142195961429075, 0.2490721223604621, -0.06101154399475137, 0.057065046057828424, -0.003196876576889162, -0.14690860084176643, 0.042173635635018636, -0.16236807485970045, 0.06890920773871893, 0.16837829154988443, 0.11056729739371379, 0.17540274188826674, -0.32541052371860274, -0.15341220120560306, 0.008555076139282834, 0.1349314534222906, 0.08148723006252995, -0.04181000812643759, -0.2953962782235111, 0.03466173934126363, -0.11090689193168023, -0.08968954516610908, 0.030595796101373956, 0.05413555551785976, 0.023986035786135104, -0.2838313070858277, 0.15714899496400267, 0.03491426047019082, 0.2036572664397434, -0.11795383907664676, -0.1155429577084204, -0.07718164640144237, 0.10226254557141835, 0.04661522481536257, 0.05567070947580256, 0.10812488679312965, -0.04924943442998942, -0.013736150832733737, 0.36819122947788646, -0.15736472413952018, -0.040079891087161826, 0.16013736832995437, -0.2379286597726993, -0.1521521148088759, 0.22279642451581663, 0.1460214918027225, 0.11752960181713683, -0.10720000603661231, 0.005251654064920234, -0.04788463536957369, 0.2132704337896074, 0.12387941719837559, -0.02770125593547031, 0.1845878015647561, 0.05640226338076794, 0.041492892022344095, 0.0906346282289924, -0.29892550326784334, 0.03248039329677675, -0.21373525887130967, -0.1372423506233371, -0.11886091472454441, 0.05528865878705333, -0.12320139345860456, -0.10697687833199224, 0.37470583400680024, 0.12146963094116993, 0.23539399612215756, 0.05939121168215298, 0.30235756942731085, 0.10592498260581848, 0.07204679350902154, 0.07833081803022368, 0.2774535188252486, 0.1782984460333308, 0.1849375467213974, -0.2510801977975276, 0.026777442219187913, 0.048043831495694744] |
711.1188 | Spatial random permutations and infinite cycles | We consider systems of spatial random permutations, where permutations are
weighed according to the point locations. Infinite cycles are present at high
densities. The critical density is given by an exact expression. We discuss the
relation between the model of spatial permutations and the ideal and
interacting quantum Bose gas.
| math-ph math.MP | we consider systems of spatial random permutations where permutations are weighed according to the point locations infinite cycles are present at high densities the critical density is given by an exact expression we discuss the relation between the model of spatial permutations and the ideal and interacting quantum bose gas | [['we', 'consider', 'systems', 'of', 'spatial', 'random', 'permutations', 'where', 'permutations', 'are', 'weighed', 'according', 'to', 'the', 'point', 'locations', 'infinite', 'cycles', 'are', 'present', 'at', 'high', 'densities', 'the', 'critical', 'density', 'is', 'given', 'by', 'an', 'exact', 'expression', 'we', 'discuss', 'the', 'relation', 'between', 'the', 'model', 'of', 'spatial', 'permutations', 'and', 'the', 'ideal', 'and', 'interacting', 'quantum', 'bose', 'gas']] | [-0.18172004538704642, 0.2064321609333274, -0.03336309407837689, 0.0655800738115795, 0.028968075113371013, -0.13572195921093225, 0.06384949329309166, 0.36171570725739, -0.22730676719918846, -0.2849242128431797, 0.059858986707404256, -0.2956809579394758, -0.10928492694161833, 0.08276905446778983, -0.03641188897192478, 0.06453317319275811, -0.02264158096164465, 0.0637949535343796, -0.10346688863210148, -0.24048070077318698, 0.3559938479214907, 0.04596994912018999, 0.2909406339749694, -0.011759885996580123, 0.12487745571881533, 0.0019640013482421638, -0.03741442863829434, -0.0020448425378708636, -0.16333420366048812, 0.060014885142445566, 0.22950056962668897, 0.09641628050711006, 0.21084639951586723, -0.4316069424524903, -0.1651154198870063, 0.1408768919110298, 0.15887178594246507, 0.12334518837742507, -0.0016726484871469438, -0.27754275530576705, 0.060377989024855194, -0.16136634342372416, -0.1701568200532347, -0.03166868552565574, 0.07174995064735412, 0.131523969611153, -0.2557956682611257, 0.10455026358366012, 0.027440397515892983, 0.1152148948609829, -0.0136436571739614, -0.08399352809414268, 0.017435376150533557, 0.13540574098005892, -0.027045232513919472, -0.015692221531644464, 0.10608500873669982, -0.12146549612283707, -0.10020318439230323, 0.38792611232027413, -0.005529407318681479, -0.21400526635348796, 0.20000532765872778, -0.18522041189484298, -0.11381514037027955, 0.09789215736091136, 0.12944533924572169, 0.07789530923590064, -0.11750561030581594, 0.08864701836137101, -0.10377181464107707, 0.1013413050613599, 0.08790339823812246, 0.02328496445901692, 0.2914978751912713, 0.09442056206986309, 0.08334674060344696, 0.20423811208456755, -0.09144725107587874, -0.12191457686014473, -0.29898049533367155, -0.13137753329006954, -0.19677640326321125, 0.02482482371851802, -0.15288937160221394, -0.15323778610676528, 0.33880873588845134, 0.18399901188910006, 0.23632263781968504, 0.08994207358919085, 0.25265325311571357, 0.18594892386347056, -0.025062830168753863, 0.08385845381766557, 0.06923364652320743, 0.17831491243559866, -0.013724689316004514, -0.2101233531627804, 0.009194465186446905, 0.12867091592866928] |
711.1189 | Clique Minors in Cartesian Products of Graphs | A "clique minor" in a graph G can be thought of as a set of connected
subgraphs in G that are pairwise disjoint and pairwise adjacent. The "Hadwiger
number" h(G) is the maximum cardinality of a clique minor in G. This paper
studies clique minors in the Cartesian product G*H.
Our main result is a rough structural characterisation theorem for Cartesian
products with bounded Hadwiger number. It implies that if the product of two
sufficiently large graphs has bounded Hadwiger number then it is one of the
following graphs:
- a planar grid with a vortex of bounded width in the outerface,
- a cylindrical grid with a vortex of bounded width in each of the two `big'
faces, or
- a toroidal grid.
Motivation for studying the Hadwiger number of a graph includes Hadwiger's
Conjecture, which states that the chromatic number chi(G) <= h(G). It is open
whether Hadwiger's Conjecture holds for every Cartesian product. We prove that
if |V(H)|-1 >= chi(G) >= chi(H) then Hadwiger's Conjecture holds for G*H. On
the other hand, we prove that Hadwiger's Conjecture holds for all Cartesian
products if and only if it holds for all G * K_2. We then show that h(G * K_2)
is tied to the treewidth of G.
We also develop connections with pseudoachromatic colourings and connected
dominating sets that imply near-tight bounds on the Hadwiger number of grid
graphs (Cartesian products of paths) and Hamming graphs (Cartesian products of
cliques).
| math.CO cs.DM | a clique minor in a graph g can be thought of as a set of connected subgraphs in g that are pairwise disjoint and pairwise adjacent the hadwiger number hg is the maximum cardinality of a clique minor in g this paper studies clique minors in the cartesian product gh our main result is a rough structural characterisation theorem for cartesian products with bounded hadwiger number it implies that if the product of two sufficiently large graphs has bounded hadwiger number then it is one of the following graphs a planar grid with a vortex of bounded width in the outerface a cylindrical grid with a vortex of bounded width in each of the two big faces or a toroidal grid motivation for studying the hadwiger number of a graph includes hadwigers conjecture which states that the chromatic number chig hg it is open whether hadwigers conjecture holds for every cartesian product we prove that if vh1 chig chih then hadwigers conjecture holds for gh on the other hand we prove that hadwigers conjecture holds for all cartesian products if and only if it holds for all g k_2 we then show that hg k_2 is tied to the treewidth of g we also develop connections with pseudoachromatic colourings and connected dominating sets that imply neartight bounds on the hadwiger number of grid graphs cartesian products of paths and hamming graphs cartesian products of cliques | [['a', 'clique', 'minor', 'in', 'a', 'graph', 'g', 'can', 'be', 'thought', 'of', 'as', 'a', 'set', 'of', 'connected', 'subgraphs', 'in', 'g', 'that', 'are', 'pairwise', 'disjoint', 'and', 'pairwise', 'adjacent', 'the', 'hadwiger', 'number', 'hg', 'is', 'the', 'maximum', 'cardinality', 'of', 'a', 'clique', 'minor', 'in', 'g', 'this', 'paper', 'studies', 'clique', 'minors', 'in', 'the', 'cartesian', 'product', 'gh', 'our', 'main', 'result', 'is', 'a', 'rough', 'structural', 'characterisation', 'theorem', 'for', 'cartesian', 'products', 'with', 'bounded', 'hadwiger', 'number', 'it', 'implies', 'that', 'if', 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711.119 | Pushnitski's $\mu$-invariant and Schr\"odinger operators with embedded
eigenvalues | In this note, under a certain assumption on an affine space of operators,
which admit embedded eigenvalues, it is shown that the singular part of the
spectral shift function of any pair of operators from this space is an
integer-valued function. The proof uses a natural decomposition of Pushnitski's
$\mu$-invariant into "absolutely continuous" and "singular" parts. As a
corollary, the Birman-Krein formula follows.
| math.SP | in this note under a certain assumption on an affine space of operators which admit embedded eigenvalues it is shown that the singular part of the spectral shift function of any pair of operators from this space is an integervalued function the proof uses a natural decomposition of pushnitskis muinvariant into absolutely continuous and singular parts as a corollary the birmankrein formula follows | [['in', 'this', 'note', 'under', 'a', 'certain', 'assumption', 'on', 'an', 'affine', 'space', 'of', 'operators', 'which', 'admit', 'embedded', 'eigenvalues', 'it', 'is', 'shown', 'that', 'the', 'singular', 'part', 'of', 'the', 'spectral', 'shift', 'function', 'of', 'any', 'pair', 'of', 'operators', 'from', 'this', 'space', 'is', 'an', 'integervalued', 'function', 'the', 'proof', 'uses', 'a', 'natural', 'decomposition', 'of', 'pushnitskis', 'muinvariant', 'into', 'absolutely', 'continuous', 'and', 'singular', 'parts', 'as', 'a', 'corollary', 'the', 'birmankrein', 'formula', 'follows']] | [-0.1425601387557934, 0.07535340512714034, -0.17911331709324113, 0.04573140821171804, -0.07508411514948332, -0.06909531632047747, -0.01847910461759555, 0.30293095442316226, -0.3076421786400099, -0.16702383286469885, 0.11479577936434877, -0.2464734265700944, -0.2060824680112062, 0.18539579181871826, -0.11704155506806509, 0.02242902498091421, 0.03605841523441937, 0.10489682684982976, -0.09927486096351076, -0.19253848066493387, 0.4236882281069073, -0.046068855726550666, 0.2223895986662096, 0.07067862947963388, 0.17138123076649442, 0.057561517940954335, -0.024417499440812295, -0.051908709635514944, -0.09032395082930077, 0.1055450911798905, 0.2397368051742594, 0.11170408997173992, 0.2589279206266867, -0.34458373712315676, -0.14426640105704147, 0.22565071974250098, 0.1362576023975928, 0.005348295823956329, -0.00039065995952114463, -0.2607092537706898, 0.06595750829024662, -0.14865611266765383, -0.17394754820833763, -0.048989770002663136, 0.05705431295979407, -0.011261277621792208, -0.325527447846628, 0.0193113966304208, 0.16672914249882584, 0.051524889925795216, -0.1113060022171046, -0.10598243363652259, -0.03482297466947667, 0.06740183383977462, 0.01470167250672896, 0.06693836359585065, 0.09202331625255605, -0.028331048869257493, -0.07438662232110096, 0.3342494233135855, -0.08727819463538547, -0.27016640917187734, 0.11099982871523788, -0.11625191363536062, -0.15221105313919966, 0.11862549546264833, 0.07808495570544995, 0.171377103880889, -0.08328316957058926, 0.18302931082190857, -0.12328134528211047, 0.13797795039511496, 0.07781819634199623, 0.050769048209692684, 0.14791629473949153, 0.07079904261345585, 0.18575065411747463, 0.17308165110467422, 0.03635499791257204, -0.06360881668966144, -0.4107957191524967, -0.19962780829519033, -0.23609751455425734, 0.12093782806093054, -0.11229283865067109, -0.269310419118659, 0.40427674459774166, 0.02946457347922748, 0.24466391818057145, 0.10512244381618896, 0.27977571552318914, 0.2122688428480028, 0.08636778261842987, 0.03316580505681134, 0.12070663886204842, 0.15530235181382346, 0.050544663129614725, -0.1124359640750974, 0.038351347673714405, 0.1714902567496944] |
711.1191 | High Strain and Strain-Rate Behaviour of PTFE/Aluminium/Tungsten
Mixtures | Conventional drop-weight techniques were modified to accommodate
low-amplitude force transducer signals from low-strength, cold isostatically
pressed 'heavy' composites of polytetrafluoroethylene, aluminum and tungsten.
The failure strength, strain and the post-critical behavior of failed samples
were measured for samples of different porosity and tungsten grain size.
Unusual phenomenon of significantly higher strength (55 MPa) of porous
composites (density 5.9 g/cc) with small W particles (less than 1 micron) in
comparison with strength (32 MPa) of dense composites (7.1 g/cc) with larger W
particles (44 microns) at the same volume content of components was observed.
This is attributed to force chains created by a network of small W particles.
Interrupted tests at different levels of strain revealed the mechanisms of
fracture under dynamic compression.
| cond-mat.soft cond-mat.mtrl-sci | conventional dropweight techniques were modified to accommodate lowamplitude force transducer signals from lowstrength cold isostatically pressed heavy composites of polytetrafluoroethylene aluminum and tungsten the failure strength strain and the postcritical behavior of failed samples were measured for samples of different porosity and tungsten grain size unusual phenomenon of significantly higher strength 55 mpa of porous composites density 59 gcc with small w particles less than 1 micron in comparison with strength 32 mpa of dense composites 71 gcc with larger w particles 44 microns at the same volume content of components was observed this is attributed to force chains created by a network of small w particles interrupted tests at different levels of strain revealed the mechanisms of fracture under dynamic compression | [['conventional', 'dropweight', 'techniques', 'were', 'modified', 'to', 'accommodate', 'lowamplitude', 'force', 'transducer', 'signals', 'from', 'lowstrength', 'cold', 'isostatically', 'pressed', 'heavy', 'composites', 'of', 'polytetrafluoroethylene', 'aluminum', 'and', 'tungsten', 'the', 'failure', 'strength', 'strain', 'and', 'the', 'postcritical', 'behavior', 'of', 'failed', 'samples', 'were', 'measured', 'for', 'samples', 'of', 'different', 'porosity', 'and', 'tungsten', 'grain', 'size', 'unusual', 'phenomenon', 'of', 'significantly', 'higher', 'strength', '55', 'mpa', 'of', 'porous', 'composites', 'density', '59', 'gcc', 'with', 'small', 'w', 'particles', 'less', 'than', '1', 'micron', 'in', 'comparison', 'with', 'strength', '32', 'mpa', 'of', 'dense', 'composites', '71', 'gcc', 'with', 'larger', 'w', 'particles', '44', 'microns', 'at', 'the', 'same', 'volume', 'content', 'of', 'components', 'was', 'observed', 'this', 'is', 'attributed', 'to', 'force', 'chains', 'created', 'by', 'a', 'network', 'of', 'small', 'w', 'particles', 'interrupted', 'tests', 'at', 'different', 'levels', 'of', 'strain', 'revealed', 'the', 'mechanisms', 'of', 'fracture', 'under', 'dynamic', 'compression']] | [-0.07571560005489432, 0.2523680474021335, -0.02712939467212399, -0.054350917510016535, 0.014038283919885021, -0.17004350830464945, 0.06006774398284491, 0.3871023327791605, -0.229671892969579, -0.3692119251325971, 0.007623708191457525, -0.30314480966018115, -0.01605334466315623, 0.11213385309741573, -0.0021988697594306507, 0.06484398377494367, 0.027085460046855886, -0.06707969388054287, -0.040715010030878344, -0.21384188436404955, 0.18873135087683368, 0.08101736165542102, 0.345327603432243, 0.01462546326592183, 0.07520511738391074, -0.06847220701766658, 0.009889869443064586, 0.05197719217241803, -0.14572545064643758, 0.03953663357659949, 0.2006124473524234, -0.035713867604976794, 0.20105363668675427, -0.4473096059146719, -0.22192557086618464, 0.05421368729659035, 0.07707503314710176, 0.047792257496812304, -0.009281073605305836, -0.25532089428571586, 0.15193742572150545, -0.14535811283152367, -0.1422483135094927, 0.045920403559738004, 0.07302098812871292, 0.05563781168655355, -0.24224356665718752, 0.13110929740770322, 0.018474565998299934, 0.1168900975331542, -0.09013266169435544, -0.2163583861060868, -0.06780613074842536, 0.004044348234215324, 0.05835323548135271, 0.01576914210788539, 0.28851847591825197, -0.10602597832549975, -0.022462332529611276, 0.37865498023809957, -0.057118473751169865, -0.07605785949832711, 0.2647549577179502, -0.11652068583796671, -0.06661254986280911, 0.28480528331873173, 0.18505846248027397, 0.06496692497329024, -0.1500782579523282, -0.03305058315402034, 0.024329604637297633, 0.24328717417618045, 0.1714888911266796, 0.0006510797805977283, 0.1766838252040573, 0.202263514143911, -0.050757983455696376, 0.1718188884432359, -0.15207624160754424, 0.03082382000818635, -0.21690751525304341, -0.15820091307453324, -0.1651842176921849, 0.04016408995633609, -0.1599760800062108, -0.14779073849022695, 0.31072651852899397, 0.06759209486610088, 0.16610521482700696, 0.0007393360157023932, 0.20604836799540235, 0.006867437150146141, 0.13157774373644687, 0.03074536998527216, 0.2807778113905234, 0.17686670221632622, 0.11295175860773345, -0.17302180765116526, 0.09811547571854269, -0.02203993496034661] |
711.1192 | Superfluid Density in High-$T_c$ Superconductors: Enabled by Holes or
Suppressed by Electrons? | The critical temperature of an underdoped cuprate superconductor is limited
by its phase stiffness $\rho$. In this Letter we argue that the dependence of
$\rho$ on doping $x$ should be understood as a consequence of deleterious
competition with antiferromagnetism at large electron densities, rather than as
evidence for pairing of holes in the $x =0$ Mott insulator state. Our proposal
is based on the observation that the correlation energy of a d-wave
superconductor increases in magnitude at finite pairing wavevector when
antiferromagnetic fluctuations are strong.
| cond-mat.str-el cond-mat.supr-con | the critical temperature of an underdoped cuprate superconductor is limited by its phase stiffness rho in this letter we argue that the dependence of rho on doping x should be understood as a consequence of deleterious competition with antiferromagnetism at large electron densities rather than as evidence for pairing of holes in the x 0 mott insulator state our proposal is based on the observation that the correlation energy of a dwave superconductor increases in magnitude at finite pairing wavevector when antiferromagnetic fluctuations are strong | [['the', 'critical', 'temperature', 'of', 'an', 'underdoped', 'cuprate', 'superconductor', 'is', 'limited', 'by', 'its', 'phase', 'stiffness', 'rho', 'in', 'this', 'letter', 'we', 'argue', 'that', 'the', 'dependence', 'of', 'rho', 'on', 'doping', 'x', 'should', 'be', 'understood', 'as', 'a', 'consequence', 'of', 'deleterious', 'competition', 'with', 'antiferromagnetism', 'at', 'large', 'electron', 'densities', 'rather', 'than', 'as', 'evidence', 'for', 'pairing', 'of', 'holes', 'in', 'the', 'x', '0', 'mott', 'insulator', 'state', 'our', 'proposal', 'is', 'based', 'on', 'the', 'observation', 'that', 'the', 'correlation', 'energy', 'of', 'a', 'dwave', 'superconductor', 'increases', 'in', 'magnitude', 'at', 'finite', 'pairing', 'wavevector', 'when', 'antiferromagnetic', 'fluctuations', 'are', 'strong']] | [-0.21601545887396617, 0.27242306324752624, -0.06566088268368998, 0.07162263133316575, -0.040236143724006766, -0.1558151015190079, 0.13881777126122924, 0.35094141049639266, -0.21088284621672596, -0.23517069332301616, -0.016265191667822792, -0.3641954809865531, -0.06466942365445635, 0.13942165974568685, 0.03046898484668311, -0.03862171144128832, -0.08488356647739077, 0.01116552396732218, -0.17344974599203425, -0.23401996134780348, 0.358258349866168, 0.012716608406866298, 0.33064391677925253, 0.12006584871560336, 0.016501594252665255, 0.001022449998623308, 0.16781664149945272, 0.03437032449223539, -0.15522358785195084, -0.022322990098858582, 0.31958388931611004, -0.08977789912948056, 0.23258868680996408, -0.39371836452799686, -0.22863330341437282, 0.018913781766177102, 0.16095123910619055, 0.117046684634817, -0.043859939263476165, -0.26980182589853513, 0.06167856641113758, -0.19677891115493634, -0.11399996151860037, -0.09359046593308448, 0.034727517488029075, -0.022009874562568525, -0.2500254730639212, 0.15543961333357456, 0.07615716446684126, 0.10544625757371678, -0.0693630662486505, -0.13688283181365798, -0.08327125312815256, -0.008331413036691682, 0.11099541219608748, 0.15673758720650394, 0.12502874696408126, -0.1411988997585414, -0.0650239045450957, 0.305220977797666, -0.04500550029830158, -0.07625649806440753, 0.13386039193993543, -0.21199671866591363, -0.07323360562714858, 0.17136248908936977, 0.08030996120411574, 0.08193135780884939, -0.060146116890759646, 0.09222895654247087, -0.05100385455743355, 0.22520078215200234, -0.011601591805982239, 0.12349150890813154, 0.2665589942049016, 0.2555101739858989, 0.08269075453281402, 0.10895006728824227, -0.12156523165347821, -0.016776107514605804, -0.2754063242991619, -0.14263560841311976, -0.2957491543417906, 0.07725467624361901, -0.08259245597154778, -0.1611939254709903, 0.3277122547028258, 0.17709012136192007, 0.22211411726825378, -0.06038188304861679, 0.23046846330830972, 0.11287098590914599, 0.038363957924165706, 0.029585754449534065, 0.21650987235719668, 0.13084986037026872, 0.09975025937618578, -0.31348127082866784, 0.12821835620767053, 0.022491941792780863] |
711.1193 | Imposition of Different Optimizing Object with Non-Linear Constraints on
Flux Sampling and Elimination of Free Futile Pathways | Constraint-based modeling has been widely used on metabolic networks
analysis, such as biosynthetic prediction and flux optimization. The linear
constraints, like mass conservation constraint, reversibility constraint,
biological capacity constraint, can be imposed on linear algorithms. However,
recently a non-linear constraint based on the second thermodynamic law, known
as "loop law", has emerged and challenged the existing algorithms. Proven to be
unfeasible with linear solutions, this non-linear constraint has been
successfully imposed on the sampling process. In this place, Monte - Carlo
sampling with Metropolis criterion and Simulated Annealing has been introduced
to optimize the Biomass synthesis of genome scale metabolic network of
Helicobacter pylori (iIT341 GSM / GPR) under mass conservation constraint,
biological capacity constraint, and thermodynamic constraints including
reversibility and "loop law". The sampling method has also been employed to
optimize a non-linear objective function, the Biomass synthetic rate, which is
unified by the total income number of reducible electrons. To verify whether a
sample contains internal loops, an automatic solution has been developed based
on solving a set of inequalities. In addition, a new type of pathway has been
proposed here, the Futile Pathway, which has three properties: 1) its mass flow
could be self-balanced; 2) it has exchange reactions; 3) it is independent to
the biomass synthesis. To eliminate the fluxes of the Futile Pathways in the
sampling results, a linear programming based method has been suggested and the
results have showed improved correlations among the reaction fluxes in the
pathways related to Biomass synthesis.
| q-bio.OT | constraintbased modeling has been widely used on metabolic networks analysis such as biosynthetic prediction and flux optimization the linear constraints like mass conservation constraint reversibility constraint biological capacity constraint can be imposed on linear algorithms however recently a nonlinear constraint based on the second thermodynamic law known as loop law has emerged and challenged the existing algorithms proven to be unfeasible with linear solutions this nonlinear constraint has been successfully imposed on the sampling process in this place monte carlo sampling with metropolis criterion and simulated annealing has been introduced to optimize the biomass synthesis of genome scale metabolic network of helicobacter pylori iit341 gsm gpr under mass conservation constraint biological capacity constraint and thermodynamic constraints including reversibility and loop law the sampling method has also been employed to optimize a nonlinear objective function the biomass synthetic rate which is unified by the total income number of reducible electrons to verify whether a sample contains internal loops an automatic solution has been developed based on solving a set of inequalities in addition a new type of pathway has been proposed here the futile pathway which has three properties 1 its mass flow could be selfbalanced 2 it has exchange reactions 3 it is independent to the biomass synthesis to eliminate the fluxes of the futile pathways in the sampling results a linear programming based method has been suggested and the results have showed improved correlations among the reaction fluxes in the pathways related to biomass synthesis | [['constraintbased', 'modeling', 'has', 'been', 'widely', 'used', 'on', 'metabolic', 'networks', 'analysis', 'such', 'as', 'biosynthetic', 'prediction', 'and', 'flux', 'optimization', 'the', 'linear', 'constraints', 'like', 'mass', 'conservation', 'constraint', 'reversibility', 'constraint', 'biological', 'capacity', 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711.1194 | On $pp \to p K \Lambda, N K \Sigma, pp \phi$ -- the basic ingredients
for strangeness production in heavy ion collisions | The strangeness production in heavy ion collisions was proposed to be probes
of the nuclear equation of state, Kaon potential in nuclear medium, strange
quark matter and quark-gluon plasma, etc. However, to act as reliable probes,
proper understanding of the basic ingredients for the strangeness production,
such as $pp \to pK^+\Lambda$, $pp \to pp \phi$ and $pp \to nK^+\Sigma^+$ is
necessary. Recent study of these reactions clearly shows that previously
ignored contributions from the spin-parity $1/2^-$ resonances, $N^*(1535)$ and
$\Delta^*(1620)$, are in fact very important for these reactions, especially
for near-threshold energies. It is necessary to include these contributions for
getting reliable calculation for the strangeness production in heavy ion
collisions.
| nucl-th | the strangeness production in heavy ion collisions was proposed to be probes of the nuclear equation of state kaon potential in nuclear medium strange quark matter and quarkgluon plasma etc however to act as reliable probes proper understanding of the basic ingredients for the strangeness production such as pp to pklambda pp to pp phi and pp to nksigma is necessary recent study of these reactions clearly shows that previously ignored contributions from the spinparity 12 resonances n1535 and delta1620 are in fact very important for these reactions especially for nearthreshold energies it is necessary to include these contributions for getting reliable calculation for the strangeness production in heavy ion collisions | [['the', 'strangeness', 'production', 'in', 'heavy', 'ion', 'collisions', 'was', 'proposed', 'to', 'be', 'probes', 'of', 'the', 'nuclear', 'equation', 'of', 'state', 'kaon', 'potential', 'in', 'nuclear', 'medium', 'strange', 'quark', 'matter', 'and', 'quarkgluon', 'plasma', 'etc', 'however', 'to', 'act', 'as', 'reliable', 'probes', 'proper', 'understanding', 'of', 'the', 'basic', 'ingredients', 'for', 'the', 'strangeness', 'production', 'such', 'as', 'pp', 'to', 'pklambda', 'pp', 'to', 'pp', 'phi', 'and', 'pp', 'to', 'nksigma', 'is', 'necessary', 'recent', 'study', 'of', 'these', 'reactions', 'clearly', 'shows', 'that', 'previously', 'ignored', 'contributions', 'from', 'the', 'spinparity', '12', 'resonances', 'n1535', 'and', 'delta1620', 'are', 'in', 'fact', 'very', 'important', 'for', 'these', 'reactions', 'especially', 'for', 'nearthreshold', 'energies', 'it', 'is', 'necessary', 'to', 'include', 'these', 'contributions', 'for', 'getting', 'reliable', 'calculation', 'for', 'the', 'strangeness', 'production', 'in', 'heavy', 'ion', 'collisions']] | [-0.012189428452066742, 0.23852536689095735, -0.11375736675502078, 0.16874992332488364, 0.003579718813820331, -0.11982524893372445, -0.0067977604397513845, 0.2913736230819612, -0.17341773022754906, -0.26457526657294045, -0.06943680401807567, -0.355070678248733, 0.03920832620346331, 0.12929905401878394, 0.07117131946876913, 0.12128048921255646, 0.09352218588763797, 0.02064329327025392, 0.053102323509724436, -0.19117393234727886, 0.315569173792159, 0.08931012072826962, 0.16904283593501057, 0.26585735137435934, -0.0021261441152173655, 0.029490900507012197, -0.03830300981801859, -0.0680945211117416, -0.07949073554239779, 0.049391476098166964, 0.3216817861161749, 0.07665140216809337, 0.11098596808156586, -0.4151536239812419, -0.15702737778685316, 0.13107544924593992, 0.16922066434546634, 0.15576920303519237, -0.09212833846843727, -0.24603202060569782, 0.12184350914112083, -0.20989451495309672, -0.1506911295611382, -0.14076531178376697, 0.07249645310294656, 0.03929464642885602, -0.3429665631606235, 0.09890116501163256, -0.013260958529589278, 0.03863315625527353, -0.044844552914419016, -0.26990516818975946, -0.04630380052536189, 0.05651672468059235, 0.0913971910076971, 0.12198554336613564, 0.21826233813824417, -0.18515255313727433, -0.11800362137439954, 0.43158638020893475, 0.02755122349035364, -0.13499980077759977, 0.2112132473639003, -0.15987147098860224, -0.2024351352372685, 0.13491822485518348, 0.22690172493536453, 0.06178592101026847, -0.24003716017044074, 0.024775353560815692, 0.020080475346395024, 0.1458376314387335, 0.09323452681256877, 0.12005702200605795, 0.1392498209837589, 0.1982138743707994, -0.04168306084649705, 0.02709352007258457, -0.050255461856051606, -0.09860205598309771, -0.3733015084421044, -0.1272974367387727, -0.06976202849575595, 0.06392673188862433, -0.0027250225005748994, -0.06546408704037333, 0.32669217245200194, 0.08783260169900484, 0.2221798927099486, -0.13090554267212093, 0.2990864583098137, 0.05417749001476746, 0.03682915461962825, 0.07604437076218158, 0.3097589206755967, 0.24654962182430937, 0.19974353143458698, -0.2835050543900244, 0.06509966785109157, 0.036172739825807175] |
711.1195 | Models of Type I X-ray Bursts from GS 1826-24: A Probe of rp-Process
Hydrogen Burning | The X-ray burster GS 1826-24 shows extremely regular Type I X-ray bursts
whose energetics and recurrence times agree well with thermonuclear ignition
models. We present calculations of sequences of burst lightcurves using
multizone models which follow the rp-process nucleosynthesis with an extensive
nuclear reaction network. The theoretical and observed burst lightcurves show
remarkable agreement. The models naturally explain the slow ~5s rise and long
~100s tails of these bursts, as well as their dependence on mass accretion
rate. This comparison provides further evidence for solar metallicity in the
accreted material in this source, and constrains the distance to the source.
The main difference is that the observed lightcurves do not show the distinct
two-stage rise of the models. This may reflect the time for burning to spread
over the stellar surface, or may indicate that our treatment of heat transport
or nuclear physics needs to be revised. The trends in burst properties with
accretion rate are well-reproduced by our spherically symmetric models which
include chemical and thermal inertia from the ashes of previous bursts. Changes
in the covering fraction of the accreted fuel are not required.
| astro-ph | the xray burster gs 182624 shows extremely regular type i xray bursts whose energetics and recurrence times agree well with thermonuclear ignition models we present calculations of sequences of burst lightcurves using multizone models which follow the rpprocess nucleosynthesis with an extensive nuclear reaction network the theoretical and observed burst lightcurves show remarkable agreement the models naturally explain the slow 5s rise and long 100s tails of these bursts as well as their dependence on mass accretion rate this comparison provides further evidence for solar metallicity in the accreted material in this source and constrains the distance to the source the main difference is that the observed lightcurves do not show the distinct twostage rise of the models this may reflect the time for burning to spread over the stellar surface or may indicate that our treatment of heat transport or nuclear physics needs to be revised the trends in burst properties with accretion rate are wellreproduced by our spherically symmetric models which include chemical and thermal inertia from the ashes of previous bursts changes in the covering fraction of the accreted fuel are not required | [['the', 'xray', 'burster', 'gs', '182624', 'shows', 'extremely', 'regular', 'type', 'i', 'xray', 'bursts', 'whose', 'energetics', 'and', 'recurrence', 'times', 'agree', 'well', 'with', 'thermonuclear', 'ignition', 'models', 'we', 'present', 'calculations', 'of', 'sequences', 'of', 'burst', 'lightcurves', 'using', 'multizone', 'models', 'which', 'follow', 'the', 'rpprocess', 'nucleosynthesis', 'with', 'an', 'extensive', 'nuclear', 'reaction', 'network', 'the', 'theoretical', 'and', 'observed', 'burst', 'lightcurves', 'show', 'remarkable', 'agreement', 'the', 'models', 'naturally', 'explain', 'the', 'slow', '5s', 'rise', 'and', 'long', '100s', 'tails', 'of', 'these', 'bursts', 'as', 'well', 'as', 'their', 'dependence', 'on', 'mass', 'accretion', 'rate', 'this', 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711.1196 | Observations of Six Glitches in PSR B1737-30 | Six glitches have been recently observed in the rotational frequency of the
young pulsar PSR B1737-30 (J1740-3015) using the 25-m Nanshan telescope of
Urumqi Observatory. With a total of 20 glitches in 20 years, it is one of the
most frequently glitching pulsars of the about 1750 known pulsars. Glitch
amplitudes are very variable with fractional increases in rotation rate ranging
from 10^{-9} to 10^{-6}. Inter-glitch intervals are also very variable, but no
relationship is observed between interval and the size of the preceding glitch.
There is a persistent increase in |\dot\nu|, opposite in sign to that expected
from slowdown with a positive braking index, which may result from changes in
the effective magnetic dipole moment of the star during the glitch.
| astro-ph | six glitches have been recently observed in the rotational frequency of the young pulsar psr b173730 j17403015 using the 25m nanshan telescope of urumqi observatory with a total of 20 glitches in 20 years it is one of the most frequently glitching pulsars of the about 1750 known pulsars glitch amplitudes are very variable with fractional increases in rotation rate ranging from 109 to 106 interglitch intervals are also very variable but no relationship is observed between interval and the size of the preceding glitch there is a persistent increase in dotnu opposite in sign to that expected from slowdown with a positive braking index which may result from changes in the effective magnetic dipole moment of the star during the glitch | [['six', 'glitches', 'have', 'been', 'recently', 'observed', 'in', 'the', 'rotational', 'frequency', 'of', 'the', 'young', 'pulsar', 'psr', 'b173730', 'j17403015', 'using', 'the', '25m', 'nanshan', 'telescope', 'of', 'urumqi', 'observatory', 'with', 'a', 'total', 'of', '20', 'glitches', 'in', '20', 'years', 'it', 'is', 'one', 'of', 'the', 'most', 'frequently', 'glitching', 'pulsars', 'of', 'the', 'about', '1750', 'known', 'pulsars', 'glitch', 'amplitudes', 'are', 'very', 'variable', 'with', 'fractional', 'increases', 'in', 'rotation', 'rate', 'ranging', 'from', '109', 'to', '106', 'interglitch', 'intervals', 'are', 'also', 'very', 'variable', 'but', 'no', 'relationship', 'is', 'observed', 'between', 'interval', 'and', 'the', 'size', 'of', 'the', 'preceding', 'glitch', 'there', 'is', 'a', 'persistent', 'increase', 'in', 'dotnu', 'opposite', 'in', 'sign', 'to', 'that', 'expected', 'from', 'slowdown', 'with', 'a', 'positive', 'braking', 'index', 'which', 'may', 'result', 'from', 'changes', 'in', 'the', 'effective', 'magnetic', 'dipole', 'moment', 'of', 'the', 'star', 'during', 'the', 'glitch']] | [-0.13146512158268484, 0.22566445660204856, -0.04758578524772139, 0.10639823671548673, -0.12899036778778325, -0.05592337383919197, 0.07368067027208945, 0.3774532314244902, -0.17970430972837065, -0.4133589395520384, 0.13693731948237134, -0.30413505251778933, -0.06633134301538106, 0.2670067810361869, -0.06630612734980026, -0.013289249249253055, 0.06133992962355985, 0.03953743737847468, -0.05047958637931247, -0.1944246936185604, 0.20053172874317857, 0.053654809770571285, 0.17781761241313376, -0.05007619043186185, 0.10677041230173628, -0.12966674668943418, -0.036078496631921926, -0.031442002370403926, -0.05964408361298828, 0.026224199922521098, 0.245783756706543, 0.09286963829930994, 0.16965361237983967, -0.3771270068064637, -0.17816722734266374, 0.09261085822716447, 0.09437045868682736, 0.02166992061309608, 0.00632828474331067, -0.26189760556330016, 0.07607439092597085, -0.2553622797074285, -0.14165456126993675, 0.07469192744885403, 0.18340121516118163, 0.07337801250415381, -0.20363943610859456, 0.14105411223803846, 0.027488339726706265, 0.08848877929601452, -0.09518552964293688, -0.14215692738548197, 0.015338355403385873, 0.08899710260400334, 0.15514321756724755, 0.12284773112309058, 0.06650434712665614, -0.10265573533251882, -0.12215330129008374, 0.34330719631340845, -0.07424444924719388, -0.013474289953830789, 0.15904250449012416, -0.29926629369452473, -0.19752397900184837, 0.2032593863130715, 0.13701454612529515, 0.08049571634743546, -0.1370927174222564, 0.00647622645311592, -0.0024805890213026377, 0.2431137396297494, 0.12407679854296759, 0.018979049374570796, 0.2686964567353735, 0.1348631929221647, 0.042118323220657644, 0.12184643596945116, -0.2693197654911363, -0.04993352429849691, -0.19744697592954044, -0.04624972558107044, -0.1702817499191027, 0.1090521487239443, -0.12231318055273732, -0.09886454737966606, 0.38467812611431373, 0.1088841304795618, 0.16383007376408967, 0.02708448583096052, 0.2260397258749018, 0.14864985467331698, 0.10713265505791107, 0.11550598353773478, 0.3134380458018239, 0.1612904105778234, 0.1470019665592518, -0.2243440870041043, 0.11570966297562127, -0.04222244097298721] |
711.1197 | "Gravitational mass" of information? | We hypothesize possible new types of forces that would be the result of new
types of interactions, static and a slow transient, between objects with
related information contents (pattern). Such mechanism could make material
composition dependence claimed by Fishbach, et al in Eotvos type experiments
plausible. We carried out experiments by using a high-resolution scale with the
following memories: USB-2 flash drives (1-16GB), DVD and CD disks to determine
if such an interaction exist/detectable with a scale resolution of 10 microgram
with these test objects. We applied zero information, white noise and 1/f noise
type data. Writing or deleting the information in any of these devices causes
peculiar negative weight transients, up to milligrams (mass fraction around
10^-5), which is followed by various types of relaxation processes. These
relaxations have significantly different dynamics compared to transients
observed during cooling after stationary external heating. Interestingly, a
USB-1 MP3 player has also developed comparable transient mass loss during
playing music. A classical interpretation of the negative weight transients
could be absorbed water in hygroscopic components however comparison of
relaxation time constants with air humidity data does not support an obvious
explanation. Another classical interpretation with certain contribution is the
lifting Bernoulli force caused by the circulation due to convection of the warm
air. However, in this case all observed time constants with a device should
have been the same unless some hidden parameter causes the observed variations.
Further studies are warranted to clarify if there is indeed a new force, which
is showing up as negative mass at weight measurement when high-density
structural information is changed or read out (measured).
| physics.gen-ph | we hypothesize possible new types of forces that would be the result of new types of interactions static and a slow transient between objects with related information contents pattern such mechanism could make material composition dependence claimed by fishbach et al in eotvos type experiments plausible we carried out experiments by using a highresolution scale with the following memories usb2 flash drives 116gb dvd and cd disks to determine if such an interaction existdetectable with a scale resolution of 10 microgram with these test objects we applied zero information white noise and 1f noise type data writing or deleting the information in any of these devices causes peculiar negative weight transients up to milligrams mass fraction around 105 which is followed by various types of relaxation processes these relaxations have significantly different dynamics compared to transients observed during cooling after stationary external heating interestingly a usb1 mp3 player has also developed comparable transient mass loss during playing music a classical interpretation of the negative weight transients could be absorbed water in hygroscopic components however comparison of relaxation time constants with air humidity data does not support an obvious explanation another classical interpretation with certain contribution is the lifting bernoulli force caused by the circulation due to convection of the warm air however in this case all observed time constants with a device should have been the same unless some hidden parameter causes the observed variations further studies are warranted to clarify if there is indeed a new force which is showing up as negative mass at weight measurement when highdensity structural information is changed or read out measured | [['we', 'hypothesize', 'possible', 'new', 'types', 'of', 'forces', 'that', 'would', 'be', 'the', 'result', 'of', 'new', 'types', 'of', 'interactions', 'static', 'and', 'a', 'slow', 'transient', 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711.1198 | Prospects of cold dark matter searches with an ultra-low-energy
germanium detector | The report describes the research program on the development of
ultra-low-energy germanium detectors, with emphasis on WIMP dark matter
searches. A threshold of 100 eV is achieved with a 20 g detector array,
providing a unique probe to the low-mas WIMP. Present data at a surface
laboratory is expected to give rise to comparable sensitivities with the
existing limits at the $\rm{5 - 10 GeV}$ WIMP-mass range. The projected
parameter space to be probed with a full-scale, kilogram mass-range experiment
is presented. Such a detector would also allow the studies of neutrino-nucleus
coherent scattering and neutrino magnetic moments.
| hep-ex | the report describes the research program on the development of ultralowenergy germanium detectors with emphasis on wimp dark matter searches a threshold of 100 ev is achieved with a 20 g detector array providing a unique probe to the lowmas wimp present data at a surface laboratory is expected to give rise to comparable sensitivities with the existing limits at the rm5 10 gev wimpmass range the projected parameter space to be probed with a fullscale kilogram massrange experiment is presented such a detector would also allow the studies of neutrinonucleus coherent scattering and neutrino magnetic moments | [['the', 'report', 'describes', 'the', 'research', 'program', 'on', 'the', 'development', 'of', 'ultralowenergy', 'germanium', 'detectors', 'with', 'emphasis', 'on', 'wimp', 'dark', 'matter', 'searches', 'a', 'threshold', 'of', '100', 'ev', 'is', 'achieved', 'with', 'a', '20', 'g', 'detector', 'array', 'providing', 'a', 'unique', 'probe', 'to', 'the', 'lowmas', 'wimp', 'present', 'data', 'at', 'a', 'surface', 'laboratory', 'is', 'expected', 'to', 'give', 'rise', 'to', 'comparable', 'sensitivities', 'with', 'the', 'existing', 'limits', 'at', 'the', 'rm5', '10', 'gev', 'wimpmass', 'range', 'the', 'projected', 'parameter', 'space', 'to', 'be', 'probed', 'with', 'a', 'fullscale', 'kilogram', 'massrange', 'experiment', 'is', 'presented', 'such', 'a', 'detector', 'would', 'also', 'allow', 'the', 'studies', 'of', 'neutrinonucleus', 'coherent', 'scattering', 'and', 'neutrino', 'magnetic', 'moments']] | [-0.10344591872570547, 0.18851086402213887, -0.06891283490940144, 0.07867256189132796, -0.08486173415654584, -0.11029129936114739, 0.015786491759660605, 0.3477310490843497, -0.16655524527948154, -0.4097802741355018, 0.06387742528336515, -0.3129610909247085, 0.0172446774858001, 0.25228125773566334, 0.07539740687138156, 0.03929892331361771, 0.10121146518933145, 0.025593854805552645, -0.0870731359739837, -0.20510546337617072, 0.2083892548652856, 0.16780424488855428, 0.25090252060051027, 0.09871086222854884, 0.14893214328239035, -0.023621793841256906, -0.040624440416669176, -0.05866821688189367, -0.15580545806963192, 0.08875568238037981, 0.3161777159811831, 0.0862090983379044, 0.15270213811952424, -0.39927797903747936, -0.15740112214790364, 0.12390092329955414, 0.06901504573393859, 0.06182039123224585, -0.0946836291346699, -0.3571760103988804, 0.058341642939730695, -0.19805472922560416, -0.13809830064052028, 0.0070371911910019425, -0.031843994949993334, -0.015985915858886743, -0.2553934468054458, 0.0062635173601416965, -0.05829389773701367, 0.012447244639655478, -0.022863756723113752, -0.17169318701091565, 0.060031432788328905, -0.03091413295876823, 0.022559343271055503, 0.07082928305393771, 0.22051627110248725, -0.14044038001264103, -0.09825647222735968, 0.38168770384631656, -0.08812568047279982, -0.11314249941098847, 0.19283410100952575, -0.19520741247351428, -0.07032181536288638, 0.18047799402357717, 0.1857088204669325, 0.0723486052678996, -0.15219237969109886, 0.08734130052984447, -0.0057548052680335545, 0.2074227822454352, 0.02191390028517497, 0.04960234958776518, 0.3036393848688979, 0.3315709084541978, 0.136596156382247, 0.04786278336602998, -0.19076547749634637, 0.029077413024711667, -0.33732395644152635, -0.126424778561647, -0.10661341628353847, 0.05170110045245996, -0.010081314466936563, -0.07928086662861078, 0.3732779661830711, 0.14240278035745416, 0.18396527124078652, 0.021876734426539195, 0.2682933415433294, 0.049199423291965534, 0.07743258719381534, -0.021921541186441715, 0.34138242970956, 0.13612816671497727, 0.1158304176317822, -0.17846425545132277, 0.015065939900906463, -0.02741970104214392] |
711.1199 | Continuous Opinions and Discrete Actions in Opinion Dynamics Problems | A model where agents show discrete behavior regarding their actions, but have
continuous opinions that are updated by interacting with other agents is
presented. This new updating rule is applied to both the voter and Sznajd
models for interaction between neighbors and its consequences are discussed.
The appearance of extremists is naturally observed and it seems to be a
characteristic of this model.
| physics.soc-ph | a model where agents show discrete behavior regarding their actions but have continuous opinions that are updated by interacting with other agents is presented this new updating rule is applied to both the voter and sznajd models for interaction between neighbors and its consequences are discussed the appearance of extremists is naturally observed and it seems to be a characteristic of this model | [['a', 'model', 'where', 'agents', 'show', 'discrete', 'behavior', 'regarding', 'their', 'actions', 'but', 'have', 'continuous', 'opinions', 'that', 'are', 'updated', 'by', 'interacting', 'with', 'other', 'agents', 'is', 'presented', 'this', 'new', 'updating', 'rule', 'is', 'applied', 'to', 'both', 'the', 'voter', 'and', 'sznajd', 'models', 'for', 'interaction', 'between', 'neighbors', 'and', 'its', 'consequences', 'are', 'discussed', 'the', 'appearance', 'of', 'extremists', 'is', 'naturally', 'observed', 'and', 'it', 'seems', 'to', 'be', 'a', 'characteristic', 'of', 'this', 'model']] | [-0.08434043914478805, 0.1352468454057262, -0.10633451894942944, 0.07609419695596906, -0.12272005962089651, -0.21456054897446716, 0.07204387206879873, 0.4337584819119897, -0.2801170346460172, -0.2729606151521679, 0.10663996746260969, -0.27470495124598815, -0.18119330565252947, 0.09861537510351766, -0.0476213904718558, -0.03493981969649977, 0.03293547519142666, 0.10045276250364998, 0.04505575104202661, -0.31043043753339183, 0.28948908772260423, 0.019787440627133324, 0.22533182653835013, 0.029610773334131826, 0.09805968948566014, -0.0028606938597347054, -0.02126530683525498, 0.04407939237971154, -0.0638846671842787, 0.08855361782664818, 0.2360810050184747, 0.11596330960252552, 0.2836879284845458, -0.38803109293064425, -0.23458166500656968, 0.12689257827070025, 0.10221195628955251, 0.10918303820053263, -0.014199351566651511, -0.33805089846016867, 0.07389047448449428, -0.21045737760880637, -0.10446545597727573, -0.08106244067912774, 0.04649951780909702, 0.08755822358320334, -0.29036758798691964, 0.057017644150330435, 0.07671029556779162, 0.043136792686132214, -0.08924096728682458, -0.090846619302673, -0.0401155577292518, 0.14253030250233317, 0.10278751484547106, -0.007517816454526924, 0.11322480378051598, -0.14155496002751447, -0.15488393625451458, 0.4206358976070843, 0.007245195586056937, -0.2101024712023828, 0.2446392682854027, -0.10185802101142823, -0.12707721675553965, 0.05509192907502727, 0.15393061764420024, 0.07890694022237782, -0.16374494720782554, 0.04704826169680538, -0.05815104636112376, 0.12885928823656978, -0.04106998918134542, -0.0137130933488527, 0.21367268478645693, 0.16414205789092987, 0.045057131380345374, 0.09430103114758072, 0.012300334654615394, -0.20471306934597946, -0.2604997290505303, -0.0998406017731343, -0.15907438275300795, -0.0021595898276520155, -0.05198032201922846, -0.11396807627308936, 0.3907005570474125, 0.1765213262526289, 0.25274978838269674, 0.07307445815956545, 0.2358396594368276, 0.11731509456322306, 0.0338695232741653, 0.05201653856784105, 0.23833126063266444, 0.0856194640620656, 0.06410644166467208, -0.19012218192663222, 0.15875130956105532, 0.021836080185566393] |
711.12 | The classification of $\bf Z$-graded modules of the intermediate series
over the $q$-analog Virasoro-like algebra | In this paper, we complete the classification of the {\bf Z}-graded modules
of the intermediate series over the $q$-analog Virasoro-like algebra $L$. We
first construct four classes of irreducible {\bf Z}-graded $L$-modules of the
intermediate series. Then we prove that any {\bf Z}-graded $L$-modules of the
intermediate series must be the direct sum of some trivial $L$-modules or one
of the modules constructed by us.
| math.RT math.QA | in this paper we complete the classification of the bf zgraded modules of the intermediate series over the qanalog virasorolike algebra l we first construct four classes of irreducible bf zgraded lmodules of the intermediate series then we prove that any bf zgraded lmodules of the intermediate series must be the direct sum of some trivial lmodules or one of the modules constructed by us | [['in', 'this', 'paper', 'we', 'complete', 'the', 'classification', 'of', 'the', 'bf', 'zgraded', 'modules', 'of', 'the', 'intermediate', 'series', 'over', 'the', 'qanalog', 'virasorolike', 'algebra', 'l', 'we', 'first', 'construct', 'four', 'classes', 'of', 'irreducible', 'bf', 'zgraded', 'lmodules', 'of', 'the', 'intermediate', 'series', 'then', 'we', 'prove', 'that', 'any', 'bf', 'zgraded', 'lmodules', 'of', 'the', 'intermediate', 'series', 'must', 'be', 'the', 'direct', 'sum', 'of', 'some', 'trivial', 'lmodules', 'or', 'one', 'of', 'the', 'modules', 'constructed', 'by', 'us']] | [-0.23292979549330015, 0.048355052039886895, -0.0600028176433765, -0.010513739769633573, -0.09226841617089052, -0.10858326714772444, -0.02054057889080678, 0.3406210070619216, -0.38031759454080694, -0.15955631785954422, 0.10343335054349154, -0.18628702761175542, -0.1520376044862832, 0.17342637930280314, -0.06644282666249918, -0.07883745765026945, 0.05395271802464357, 0.1085398845661145, -0.11951786214843965, -0.32517749555408954, 0.3832292820398624, -0.0533715311008004, 0.1757262468051452, -0.04480866750415701, 0.16176182947193202, 0.05113844688122089, -0.05709705758266724, -0.046020163108523075, -0.17921998638787326, 0.11165818207395764, 0.3438680796095958, 0.06961193176774451, 0.21515962850087536, -0.3414227578932276, -0.04873807321016032, 0.20260961413956605, 0.16552641658255687, 0.019714686360496742, 0.10144496291087797, -0.25369611992858926, 0.14215778540103483, -0.2937634605341233, -0.05328008399989743, -0.06798311150991, 0.09227193992298383, 0.0034299514041497155, -0.2792613992610803, 0.032237980786997536, 0.12206619072418946, 0.10523621594318404, -0.08332752321416942, -0.11510081003205135, -0.06099249075811643, 0.10009300122395731, -0.05565860403271822, 0.015940527560619207, 0.04850424261978613, -0.08829493247187481, -0.1497694961511745, 0.3138021422120241, -0.05848585254727648, -0.1737718379124999, 0.15784482664715213, -0.19507600637152792, -0.19482221021675147, 0.1012807501336703, 0.07375808604634725, 0.1581672379030631, -0.03590519494162156, 0.18218108928010154, -0.152472093113913, 0.029059307635403597, 0.1107807765643184, -0.01687391939967011, 0.16456975150280273, 0.058946640895178114, 0.0014139968633221892, 0.15385170568747875, 0.00367681195672888, 0.042823886355528466, -0.44069099684174246, -0.24299148581922053, -0.13588696944598969, 0.13919144539305797, -0.07946113885801213, -0.16677954464864272, 0.4657109414155667, 0.0703825839723532, 0.218056530584223, 0.10497955446346448, 0.15730200567497657, 0.08626979675430518, 0.07164350507351068, 0.08102587599020739, 0.11620496128766368, 0.20363879483551361, 0.006627785921311722, -0.11438464792534853, -0.0741645286934307, 0.2050905728712678] |
711.1201 | Suzaku Detection of an Intense X-Ray Flare from an A-type Star HD161084 | We report a serendipitous detection of an intense X-ray flare from the Tycho
reference source HD 161084 during a Suzaku observation of the Galactic Center
region for 20 ks. The X-ray Imaging Spectrometer (XIS) recorded a flare from
this A1-type dwarf or subgiant star with a flux of 1.4x10^{-12} erg s^{-1}
cm^{-2} (0.5--10 keV) and a decay time scale of 0.5 hr. The spectrum is hard
with a prominent Fe XXV K alpha emission line at 6.7 keV, which is explained by
a 5 keV thin-thermal plasma model attenuated by a 1.4x10^{21} cm^{-2}
extinction. The low extinction, which is consistent with the optical reddening,
indicates that the source is a foreground star toward the Galactic Center
region. Based on the spectroscopic parallax distance of 530 pc, the peak X-ray
luminosity amounts to 1x10^{32} erg s^{-1} (0.5--10 keV). This is much larger
than the X-ray luminosity of ordinary late-type main-sequence stars, and the
X-ray emission is unattributable to a hidden late-type companion that comprises
a wide binary system with the A-star. We discuss possible natures of HD 161084
and suggest that it is most likely an interacting binary with elevated magnetic
activity in the companion such as the Algol-type system. The flux detected by
Suzaku during the burst is 100 times larger than the quiescent level measured
using the archived XMM-Newton and Chandra data. The large flux amplification
makes this star a unique example among sources of this class.
| astro-ph | we report a serendipitous detection of an intense xray flare from the tycho reference source hd 161084 during a suzaku observation of the galactic center region for 20 ks the xray imaging spectrometer xis recorded a flare from this a1type dwarf or subgiant star with a flux of 14x1012 erg s1 cm2 0510 kev and a decay time scale of 05 hr the spectrum is hard with a prominent fe xxv k alpha emission line at 67 kev which is explained by a 5 kev thinthermal plasma model attenuated by a 14x1021 cm2 extinction the low extinction which is consistent with the optical reddening indicates that the source is a foreground star toward the galactic center region based on the spectroscopic parallax distance of 530 pc the peak xray luminosity amounts to 1x1032 erg s1 0510 kev this is much larger than the xray luminosity of ordinary latetype mainsequence stars and the xray emission is unattributable to a hidden latetype companion that comprises a wide binary system with the astar we discuss possible natures of hd 161084 and suggest that it is most likely an interacting binary with elevated magnetic activity in the companion such as the algoltype system the flux detected by suzaku during the burst is 100 times larger than the quiescent level measured using the archived xmmnewton and chandra data the large flux amplification makes this star a unique example among sources of this class | [['we', 'report', 'a', 'serendipitous', 'detection', 'of', 'an', 'intense', 'xray', 'flare', 'from', 'the', 'tycho', 'reference', 'source', 'hd', '161084', 'during', 'a', 'suzaku', 'observation', 'of', 'the', 'galactic', 'center', 'region', 'for', '20', 'ks', 'the', 'xray', 'imaging', 'spectrometer', 'xis', 'recorded', 'a', 'flare', 'from', 'this', 'a1type', 'dwarf', 'or', 'subgiant', 'star', 'with', 'a', 'flux', 'of', '14x1012', 'erg', 's1', 'cm2', '0510', 'kev', 'and', 'a', 'decay', 'time', 'scale', 'of', '05', 'hr', 'the', 'spectrum', 'is', 'hard', 'with', 'a', 'prominent', 'fe', 'xxv', 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711.1202 | Resonant Transmission of a Light Pulse through a Quantum Well | Reflectance, transmittance and absorbance of a symmetric light pulse, the
carrying frequency of which is close to the frequency of interband transitions
in a quantum well, are calculated. Energy levels of the quantum well are
assumed discrete, and two closely located excited levels are taken into
account. The theory is applicable for the quantum wells of arbitrary widths
when the size quantization is preserved. A distinction of refraction indices of
barriers and quantum well is taken into account. In such a case, some
additional reflection from the quantum well borders appears which changes
essentially a shape of the reflected pulse in comparison to homogeneous medium.
The reflection from the borders disappears at some definite ratios of the
carrying frequency of the stimulating pulse and quantum well width.
| cond-mat.mes-hall | reflectance transmittance and absorbance of a symmetric light pulse the carrying frequency of which is close to the frequency of interband transitions in a quantum well are calculated energy levels of the quantum well are assumed discrete and two closely located excited levels are taken into account the theory is applicable for the quantum wells of arbitrary widths when the size quantization is preserved a distinction of refraction indices of barriers and quantum well is taken into account in such a case some additional reflection from the quantum well borders appears which changes essentially a shape of the reflected pulse in comparison to homogeneous medium the reflection from the borders disappears at some definite ratios of the carrying frequency of the stimulating pulse and quantum well width | [['reflectance', 'transmittance', 'and', 'absorbance', 'of', 'a', 'symmetric', 'light', 'pulse', 'the', 'carrying', 'frequency', 'of', 'which', 'is', 'close', 'to', 'the', 'frequency', 'of', 'interband', 'transitions', 'in', 'a', 'quantum', 'well', 'are', 'calculated', 'energy', 'levels', 'of', 'the', 'quantum', 'well', 'are', 'assumed', 'discrete', 'and', 'two', 'closely', 'located', 'excited', 'levels', 'are', 'taken', 'into', 'account', 'the', 'theory', 'is', 'applicable', 'for', 'the', 'quantum', 'wells', 'of', 'arbitrary', 'widths', 'when', 'the', 'size', 'quantization', 'is', 'preserved', 'a', 'distinction', 'of', 'refraction', 'indices', 'of', 'barriers', 'and', 'quantum', 'well', 'is', 'taken', 'into', 'account', 'in', 'such', 'a', 'case', 'some', 'additional', 'reflection', 'from', 'the', 'quantum', 'well', 'borders', 'appears', 'which', 'changes', 'essentially', 'a', 'shape', 'of', 'the', 'reflected', 'pulse', 'in', 'comparison', 'to', 'homogeneous', 'medium', 'the', 'reflection', 'from', 'the', 'borders', 'disappears', 'at', 'some', 'definite', 'ratios', 'of', 'the', 'carrying', 'frequency', 'of', 'the', 'stimulating', 'pulse', 'and', 'quantum', 'well', 'width']] | [-0.12699319816040477, 0.21610484886767828, -0.06906706278474074, 0.07370935527490467, -0.014789090103169126, -0.15127056383520482, 0.04092766899765858, 0.41004344728577324, -0.26256872197305126, -0.27857275855705493, 0.05757260813256799, -0.27170843226050473, -0.08471449563925074, 0.1864750886727381, -0.01766423056063455, 0.04490689044876948, -0.010646847222920683, 0.030752601406324333, -0.03577521111354173, -0.14904455944719747, 0.2819166084051162, 0.033744761707466535, 0.2869999025046356, 0.087594052340366, 0.05950079716456271, 0.01922525449034457, -0.01882184456344547, 0.02602534474233004, -0.0704830341539749, 0.058292946546839454, 0.2574039478822956, 0.009491709812624953, 0.20424364249801308, -0.3943208650810512, -0.21516432025557838, 0.03255322960198043, 0.11513119164623291, 0.12725781247672427, -0.02741248501596723, -0.32018591444132716, 0.015787674773183807, -0.09716868308174798, -0.14008167168624172, 0.024749571091186542, 0.0010062913560697179, 0.027682123551746523, -0.24368509476982408, 0.06869663059341127, 0.061913022160068096, 0.045770204620523836, -0.08707901285264612, -0.1264325593576187, -0.04983612458500278, 0.16941979015543948, 0.017984113248989103, -0.04751893570719976, 0.13277215424441094, -0.10932251969059034, -0.07129151597032397, 0.4326646307439316, -0.017113132735963647, -0.14916980985229408, 0.13740121877172917, -0.17996785587330502, -0.01514154917919847, 0.18641447977668893, 0.11414698606144315, 0.08276710395085236, -0.05672229875548739, 0.07410518853470507, 0.03205206890509823, 0.19108933560993874, 0.12327814713765786, 0.10454665500612005, 0.25193734236765564, 0.09991443822138363, 0.027654368738372494, 0.15506711423279732, -0.11268634150101708, -0.1418951511507722, -0.32277325430782294, -0.14372605445802095, -0.17916242314839925, 0.08796458600426284, -0.048054917707698284, -0.1786172755766572, 0.4222562446398294, 0.05624631919538763, 0.22347512047033846, -0.0015524957516032645, 0.30048696663025326, 0.21189811821352308, 0.06894162792655617, 0.031386954981217706, 0.2413956798694654, 0.20033717721583336, 0.08238534911125019, -0.23606826449876403, 0.03554802602816989, -0.03189148765614652] |
711.1203 | Introduction to the theory of quasi-log varieties | This paper is a gentle introduction to the theory of quasi-log varieties by
Ambro. We explain the fundamental theorems for the log minimal model program
for log canonical pairs. More precisely, we give a proof of the base point free
theorem for log canonical pairs in the framework of the theory of quasi-log
varieties.
| math.AG | this paper is a gentle introduction to the theory of quasilog varieties by ambro we explain the fundamental theorems for the log minimal model program for log canonical pairs more precisely we give a proof of the base point free theorem for log canonical pairs in the framework of the theory of quasilog varieties | [['this', 'paper', 'is', 'a', 'gentle', 'introduction', 'to', 'the', 'theory', 'of', 'quasilog', 'varieties', 'by', 'ambro', 'we', 'explain', 'the', 'fundamental', 'theorems', 'for', 'the', 'log', 'minimal', 'model', 'program', 'for', 'log', 'canonical', 'pairs', 'more', 'precisely', 'we', 'give', 'a', 'proof', 'of', 'the', 'base', 'point', 'free', 'theorem', 'for', 'log', 'canonical', 'pairs', 'in', 'the', 'framework', 'of', 'the', 'theory', 'of', 'quasilog', 'varieties']] | [-0.1301916483164489, 0.04341753513586742, -0.1481706985462181, 0.16590809929012149, -0.03400007659500396, -0.14845530628399164, 0.08261739224393817, 0.25819140352757164, -0.2720743852874471, -0.2625161528380381, 0.010825257513378919, -0.23844764416140538, -0.16367002918074527, 0.21859382544385475, -0.15805237033162955, -0.04789211259533962, 0.014902987344949334, 0.0514650245335091, -0.10316596573425664, -0.2811956974953689, 0.4052778369298688, 0.019696737674099428, 0.24324399051342713, 0.06217515144359182, 0.1121370183924834, 0.07407302302480848, -0.028039866532371553, -0.04898435398246403, -0.16795134340861329, 0.19729799866952277, 0.3053711729331149, 0.14105611723951167, 0.21720850195183797, -0.38775732675222335, -0.14257106013354603, 0.16919656554926876, 0.06090001374724562, 0.1031212438268725, 0.006061457350572002, -0.1538300703935049, 0.14726851871010796, -0.15852745777616897, -0.19908341985730524, -0.06092981970006669, 0.0030950002579225432, -0.010650728432530607, -0.24327620222336716, 0.01016383019655391, 0.15686836712821214, 0.13749247106413046, 0.004544616454276601, -0.0498180557904696, -0.013297096576058754, 0.016953120577252574, 0.006109659613920721, 0.048375903689130036, 0.06818097648728225, -0.11225966663806941, -0.09377223691316666, 0.3442958756177514, -0.06892716755262679, -0.1423012542158917, 0.11985484994430509, -0.061342047777509796, -0.1809832913654477, 0.08484322520800763, 0.10788004156374545, 0.22998175544112368, -0.095414899531062, 0.15614633129357738, -0.12349137629347819, 0.08641871290240453, 0.0780451978660292, -0.0004166489191077374, 0.15785001076895883, 0.13171791450844872, 0.05543408196212517, 0.09047261159867048, 0.004582893051620986, -0.10658965363270706, -0.42038763990556755, -0.24111222424026993, -0.06799757985950068, 0.11474012536928058, -0.09860239659987942, -0.1670612843224296, 0.3639660559387671, 0.08911845592471461, 0.22103394617119598, 0.1373218889520676, 0.2722884651566683, 0.11197866847807611, 0.005127293785335496, 0.0355886981598343, 0.12897357885311875, 0.23791118410709142, 0.001005680998787284, -0.11394701033175268, -0.04282369102454848, 0.2181619202752632] |
711.1204 | Relationship between Magnetic Structure and Ferroelectricity of LiVCuO4 | Neutron scattering studies and measurements of the dielectric susceptibility
and ferroelectric polarization P have been carried out in various magnetic
fields H for single-crystal samples of the multiferroic system LiVCuO4 with
quasi one-dimensional spin 1/2 Cu2+ chains formed of edge-sharing CuO4 square
planes, and the relationship between the magnetic structure and
ferroelectricity has been studied. The ferroelectric polarization is
significantly suppressed by the magnetic field H above 2 T applied along a and
b axes. The helical magnetic structure with the helical axis parallel to c has
been confirmed in H=0, and for H//a, the spin flop transition takes place at
H=2 T with increasing H, where the helical axis changes to the direction
parallel to H. The ferroelectric polarization along a at H=0 is found to be
proportional to the neutron magnetic scattering intensity, indicating that the
magnetic order is closely related to the appearance of the ferroelectricity.
The relationship between the magnetic structure and ferroelectricity of LiVCuO4
is discussed by considering the existing theories.
| cond-mat.str-el cond-mat.mtrl-sci | neutron scattering studies and measurements of the dielectric susceptibility and ferroelectric polarization p have been carried out in various magnetic fields h for singlecrystal samples of the multiferroic system livcuo4 with quasi onedimensional spin 12 cu2 chains formed of edgesharing cuo4 square planes and the relationship between the magnetic structure and ferroelectricity has been studied the ferroelectric polarization is significantly suppressed by the magnetic field h above 2 t applied along a and b axes the helical magnetic structure with the helical axis parallel to c has been confirmed in h0 and for ha the spin flop transition takes place at h2 t with increasing h where the helical axis changes to the direction parallel to h the ferroelectric polarization along a at h0 is found to be proportional to the neutron magnetic scattering intensity indicating that the magnetic order is closely related to the appearance of the ferroelectricity the relationship between the magnetic structure and ferroelectricity of livcuo4 is discussed by considering the existing theories | [['neutron', 'scattering', 'studies', 'and', 'measurements', 'of', 'the', 'dielectric', 'susceptibility', 'and', 'ferroelectric', 'polarization', 'p', 'have', 'been', 'carried', 'out', 'in', 'various', 'magnetic', 'fields', 'h', 'for', 'singlecrystal', 'samples', 'of', 'the', 'multiferroic', 'system', 'livcuo4', 'with', 'quasi', 'onedimensional', 'spin', '12', 'cu2', 'chains', 'formed', 'of', 'edgesharing', 'cuo4', 'square', 'planes', 'and', 'the', 'relationship', 'between', 'the', 'magnetic', 'structure', 'and', 'ferroelectricity', 'has', 'been', 'studied', 'the', 'ferroelectric', 'polarization', 'is', 'significantly', 'suppressed', 'by', 'the', 'magnetic', 'field', 'h', 'above', '2', 't', 'applied', 'along', 'a', 'and', 'b', 'axes', 'the', 'helical', 'magnetic', 'structure', 'with', 'the', 'helical', 'axis', 'parallel', 'to', 'c', 'has', 'been', 'confirmed', 'in', 'h0', 'and', 'for', 'ha', 'the', 'spin', 'flop', 'transition', 'takes', 'place', 'at', 'h2', 't', 'with', 'increasing', 'h', 'where', 'the', 'helical', 'axis', 'changes', 'to', 'the', 'direction', 'parallel', 'to', 'h', 'the', 'ferroelectric', 'polarization', 'along', 'a', 'at', 'h0', 'is', 'found', 'to', 'be', 'proportional', 'to', 'the', 'neutron', 'magnetic', 'scattering', 'intensity', 'indicating', 'that', 'the', 'magnetic', 'order', 'is', 'closely', 'related', 'to', 'the', 'appearance', 'of', 'the', 'ferroelectricity', 'the', 'relationship', 'between', 'the', 'magnetic', 'structure', 'and', 'ferroelectricity', 'of', 'livcuo4', 'is', 'discussed', 'by', 'considering', 'the', 'existing', 'theories']] | [-0.19907050773344306, 0.22138392524401018, 0.027167592413894475, -0.008721995940263641, -0.08185534360706358, -0.11551545897824128, 0.017189605308820056, 0.44619510318320915, -0.2933263480831611, -0.2788765371653689, 0.02708202395700367, -0.3011444538147245, -0.060013675032722126, 0.14322361117228866, 0.11513634030538869, -0.011437433443582022, -0.0642825820404722, 0.019356524522685593, -0.09363514247086707, -0.20448565861793705, 0.23201843645670508, 0.03253760900774814, 0.29970420531771447, 0.05009636731330216, 0.05191499242805932, -0.001530407957384834, 0.09136634781193662, 0.053038526294859556, -0.14433445091274635, 0.04175089224188551, 0.19844766660223165, -0.06503724467480226, 0.14213328175555287, -0.4167730527234275, -0.1646319616484983, 0.030353224442160903, 0.132870900743439, 0.08502939396751034, -0.032190476617136275, -0.26865335719951666, 0.08417386286443167, -0.06219271027236891, -0.12690490753816283, -0.06561035422379634, 0.0395610133734397, 0.011676995179066098, -0.26312513777064667, 0.07950269699192056, 0.09463256046650033, 0.13876582006643334, -0.08667887390327517, -0.14361840931639772, -0.11263033259920888, 0.02768867718706648, 0.12338067597782532, 0.1707578611908009, 0.15496743796954313, -0.07080788486104189, -0.15237567826252746, 0.3356114652411765, -0.03499057201012206, -0.0925944294129689, 0.13215005171978958, -0.2555307498831493, -0.10496569818996611, 0.1954591388853424, 0.09385558579072177, 0.09595884931244304, -0.10477972455730897, 0.11696364962620694, 0.013918823921626591, 0.14849685088584777, 0.06326620610352292, 0.0014785220187314484, 0.2861440154465746, 0.1504993307578142, 0.005633744742182723, 0.16483843306020599, -0.17506127678564784, -0.03742696075554354, -0.20828598306278687, -0.16610559720703097, -0.17280741657006993, 0.04649619499631002, -0.06358274079360283, -0.1606241562291531, 0.3547648748281939, 0.10033736119035587, 0.18096768664173693, -0.10020689322355103, 0.2318248768443668, 0.05090702907953703, 0.1183757400080556, 0.048248427520128784, 0.2789508298036631, 0.2853641018063862, 0.15198519055770868, -0.31939097633024294, 0.10430716619131167, -0.011625868659634817] |
711.1205 | Rational Integrals of the second kind on a complex projective manifold
and its primitive cohomology | Let X be a complex algebraic manifold of dimension n+1 embedded in a
sufficiently higher dimensional complex projective space, and Y a generic
hyperplane section of X. We describe the mixed Hodge structure on H^p(X-Y,C)
and the Hodge filtration of the middle primitive cohomology group H^n(Y,C)_0 of
Y in terms of rational integrals on X. (Key words: Primitive cohomology,
Rational integral of the 2nd kind, Generalized Poincare residue map, Hodge
filtration, Mixed Hodge structure)
| math.AG math.CV | let x be a complex algebraic manifold of dimension n1 embedded in a sufficiently higher dimensional complex projective space and y a generic hyperplane section of x we describe the mixed hodge structure on hpxyc and the hodge filtration of the middle primitive cohomology group hnyc_0 of y in terms of rational integrals on x key words primitive cohomology rational integral of the 2nd kind generalized poincare residue map hodge filtration mixed hodge structure | [['let', 'x', 'be', 'a', 'complex', 'algebraic', 'manifold', 'of', 'dimension', 'n1', 'embedded', 'in', 'a', 'sufficiently', 'higher', 'dimensional', 'complex', 'projective', 'space', 'and', 'y', 'a', 'generic', 'hyperplane', 'section', 'of', 'x', 'we', 'describe', 'the', 'mixed', 'hodge', 'structure', 'on', 'hpxyc', 'and', 'the', 'hodge', 'filtration', 'of', 'the', 'middle', 'primitive', 'cohomology', 'group', 'hnyc_0', 'of', 'y', 'in', 'terms', 'of', 'rational', 'integrals', 'on', 'x', 'key', 'words', 'primitive', 'cohomology', 'rational', 'integral', 'of', 'the', '2nd', 'kind', 'generalized', 'poincare', 'residue', 'map', 'hodge', 'filtration', 'mixed', 'hodge', 'structure']] | [-0.23755535299682784, 0.04170265876584583, -0.14044695927037132, 0.0989612966497791, -0.10808518318743962, -0.14548022613679576, -0.03440590511066451, 0.2612851371911044, -0.42479892375154626, -0.1417331505088239, 0.0873468605212919, -0.17029974753192315, -0.166471672968732, 0.1277541886350567, -0.2008340789600172, -0.04803088692844742, 0.01731161506419691, 0.1684916592332431, -0.0873861039419555, -0.3281673867863396, 0.49302359310806626, -0.08790666494395635, 0.19776458698066157, -0.011565279629495408, 0.17758370966960987, 0.03698621331326043, -0.013049196012111174, -0.07473914875340092, -0.11850975643998633, 0.2340913947361211, 0.3745040391934001, -0.037232660167824685, 0.12950435536913574, -0.401099483974071, -0.13037899891949362, 0.22798076173704532, 0.09731499448470357, -0.09744595989791884, 0.03795270322653879, -0.2385717062764646, 0.08835846962271414, -0.1251047437803613, -0.22152646129123038, -0.11893731491484989, 0.07986939529655501, -0.011859318629528085, -0.20407095452376073, -0.028543743524803884, 0.027230072145660717, 0.18993029514482865, -0.07048468742545487, -0.15080929764695206, -0.17573188179327795, -0.003169439818723024, -0.10798241739394143, 0.09080713420795898, 0.10574062866443354, -0.07599119323488897, -0.11137746925103581, 0.3604190992126759, -0.10025150878128544, -0.2584972679097619, 0.06006849714968768, -0.26104357600626016, -0.23185481995137203, 0.2109211338037211, 0.10041872141624077, 0.22788063782435428, 0.0748646681232559, 0.2527769425659143, -0.11042699834150779, 0.08851958091448371, 0.12973957589969765, -0.032560853054746985, 0.1387511117888304, 0.09528882713574502, 0.03874089347664267, 0.08530591199168056, -0.03527491476981797, -0.08848475651919013, -0.38804186368361115, -0.3086394383119316, -0.12494011554776484, 0.21012079366482794, -0.19769187598810983, -0.18651888930859664, 0.38509112179356936, -0.0577970912410011, 0.1658852730737029, 0.07647645300150746, 0.21385761056767982, 0.026377608262312908, 0.025817489374377247, -0.039076221518270254, -0.0037586315819579694, 0.2773167315301382, -0.01820107996981177, -0.0981651864066306, 0.004887726157903671, 0.2862728578167864] |
711.1206 | How does Casimir energy fall? III. Inertial forces on vacuum energy | We have recently demonstrated that Casimir energy due to parallel plates,
including its divergent parts, falls like conventional mass in a weak
gravitational field. The divergent parts were suitably interpreted as
renormalizing the bare masses of the plates. Here we corroborate our result
regarding the inertial nature of Casimir energy by calculating the centripetal
force on a Casimir apparatus rotating with constant angular speed. We show that
the centripetal force is independent of the orientation of the Casimir
apparatus in a frame whose origin is at the center of inertia of the apparatus.
| hep-th | we have recently demonstrated that casimir energy due to parallel plates including its divergent parts falls like conventional mass in a weak gravitational field the divergent parts were suitably interpreted as renormalizing the bare masses of the plates here we corroborate our result regarding the inertial nature of casimir energy by calculating the centripetal force on a casimir apparatus rotating with constant angular speed we show that the centripetal force is independent of the orientation of the casimir apparatus in a frame whose origin is at the center of inertia of the apparatus | [['we', 'have', 'recently', 'demonstrated', 'that', 'casimir', 'energy', 'due', 'to', 'parallel', 'plates', 'including', 'its', 'divergent', 'parts', 'falls', 'like', 'conventional', 'mass', 'in', 'a', 'weak', 'gravitational', 'field', 'the', 'divergent', 'parts', 'were', 'suitably', 'interpreted', 'as', 'renormalizing', 'the', 'bare', 'masses', 'of', 'the', 'plates', 'here', 'we', 'corroborate', 'our', 'result', 'regarding', 'the', 'inertial', 'nature', 'of', 'casimir', 'energy', 'by', 'calculating', 'the', 'centripetal', 'force', 'on', 'a', 'casimir', 'apparatus', 'rotating', 'with', 'constant', 'angular', 'speed', 'we', 'show', 'that', 'the', 'centripetal', 'force', 'is', 'independent', 'of', 'the', 'orientation', 'of', 'the', 'casimir', 'apparatus', 'in', 'a', 'frame', 'whose', 'origin', 'is', 'at', 'the', 'center', 'of', 'inertia', 'of', 'the', 'apparatus']] | [-0.18322057873811773, 0.19767807450105426, -0.1290876050097918, 0.006287779391152403, -0.05287522274840583, -0.07200333013910279, -0.028841739686916994, 0.3491510472871283, -0.2133659083115798, -0.29145741734092917, 0.013525642727511705, -0.258697074898068, -0.08699518051599303, 0.22967504888212167, -0.036048652749428506, 0.03713527550577857, 0.034550360904666046, 0.07873579293930082, -0.0417109242019554, -0.1498796527927381, 0.3575345768282811, 0.09263243565275785, 0.24560962688247923, 0.10297858896064421, 0.14071991038759069, 0.012353327530886858, -0.010805917793624503, 0.08042522690193828, -0.11872537391118189, 0.07203225014350748, 0.12458657540921722, -0.021161292401165575, 0.24360668050345555, -0.4154423442819426, -0.15921900129654215, 0.06727638399048198, 0.08480637281837683, 0.11472102798463937, -0.06336905652662159, -0.27841195289886767, 0.005548103091617425, -0.1660556680653044, -0.17764125134225092, -0.039546076008068615, 0.066852216785323, 0.033072288713908646, -0.186782826253924, 0.12367333066199095, 0.056331767996032074, 0.06104164699753446, -0.1418454467359009, -0.11935665420887451, 0.01974991284140576, 0.11735119743232605, 0.15339574645278395, 0.04507763570635229, 0.23655929143530546, -0.09495282699404065, -0.053543190221472456, 0.4014539922918043, -0.07212086462525912, -0.18963577842680357, 0.20270761725322534, -0.16036995890380074, -0.008619736749879134, 0.10161293840776849, 0.12371188798739065, 0.0742216789569225, -0.1432625989039098, 0.11330051328586314, -0.002670315755230765, 0.15214247970531383, 0.16078577864845034, -0.02282530237590113, 0.28318766885066543, 0.09611544864232181, 0.033802281411725185, 0.14416936591708213, -0.09546079075274368, -0.06957465014670805, -0.3524764956786267, -0.19131113690955023, -0.25411575328638797, 0.030787316186013082, -0.09087660798041891, -0.17015715082606642, 0.3344541116347236, 0.12759580804655948, 0.18944678828120232, 0.030518308752566895, 0.3544109347526745, 0.1070682223274758, 0.14109218412239144, 0.03097567795425333, 0.3948400276462718, 0.1494557489741153, 0.12127947206959448, -0.3105480892193173, -0.024585890924177504, 0.0925437118357388] |
711.1207 | A note on proper conformal vector fields in cylindrically symmetric
static space-times | A study of proper conformal vector field in non conformally flat
cylindrically symmetric static space-times is given by using direct integration
technique. Using the above mentioned technique we have shown that a very
special class of the above space-time admits proper conformal vector field.
| gr-qc | a study of proper conformal vector field in non conformally flat cylindrically symmetric static spacetimes is given by using direct integration technique using the above mentioned technique we have shown that a very special class of the above spacetime admits proper conformal vector field | [['a', 'study', 'of', 'proper', 'conformal', 'vector', 'field', 'in', 'non', 'conformally', 'flat', 'cylindrically', 'symmetric', 'static', 'spacetimes', 'is', 'given', 'by', 'using', 'direct', 'integration', 'technique', 'using', 'the', 'above', 'mentioned', 'technique', 'we', 'have', 'shown', 'that', 'a', 'very', 'special', 'class', 'of', 'the', 'above', 'spacetime', 'admits', 'proper', 'conformal', 'vector', 'field']] | [-0.16636949514874935, 0.11570912827631798, -0.050967035201293504, 0.04123723029889251, -0.16049908626485954, -0.16384284234267066, -0.07197978338015011, 0.44652580181983387, -0.1706180395135148, -0.18787850410709242, 0.08011270007806491, -0.162381353370041, -0.1414317783836106, 0.18700315180996602, -0.014667643064802343, 0.07227067044004798, -0.011609134391288866, 0.09833596363155679, -0.13578421753217382, -0.20338342139836063, 0.45447122559628705, 0.022261296945295973, 0.30600078380666673, 0.0025753511158241467, 0.1869362620848485, 0.04613278528929434, -0.03550263849849051, 0.14076530923855238, -0.12914630011420575, 0.051198326209983366, 0.22548933804500848, 0.10431730912320993, 0.22566458243157037, -0.3275989640758119, -0.26174523486671125, 0.10844394147650084, 0.08848682610021735, 0.1344806251370094, -0.10097858418752863, -0.3156930252655663, 0.1616444194435396, -0.12153717458502135, -0.21081140119878744, -0.10251273994799703, -0.01152049870209091, -0.047877985608382995, -0.1892646983773871, 0.07727691683579575, 0.10854830901900475, 0.06009419800036333, -0.09608848545361649, -0.04120985343417322, -0.014913442110727456, 0.02799981404942545, 0.05149253337665207, 0.11424397668187422, 0.10856282198801637, -0.09742944395508278, -0.12627248963425783, 0.3564685025167736, -0.1566607390361076, -0.311576543439349, 0.09929612276821652, -0.16154478887223045, -0.11607267752035776, 0.1614958944899792, 0.1227520165160637, 0.21670258701355619, -0.1792741853913123, 0.23480648835274306, -0.09160208344374868, 0.07745064803219232, 0.14395613540810617, -0.039510572106916116, 0.24032914324197918, 0.06775379744993354, 0.08885308513312008, 0.17882824077440257, -0.0026845125248655677, -0.11971477120029951, -0.39657612636008044, -0.16738842563195663, -0.14187984007664703, 0.12961398884759878, -0.14294224892496873, -0.24438282166044123, 0.3579609198072417, 0.032050371812312566, 0.1184555345151404, 0.03494028021073477, 0.21495208478617397, 0.1032854263797741, 0.07198598352260888, 0.12561362532009793, 0.2766106247647919, 0.2310299563951875, 0.08940493665233423, -0.10790532834785567, -0.14648275151425463, 0.10430836482820185] |
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