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707.233 | Hilbert Function and Betti Numbers of Algebras with Lefschetz Property
of Order m | The authors T.Harima, J.C.Migliore, U.Nagel and J.Watanabe characterized the
Hilbert function of algbebras with the Lefschetz property. We extend this
characterization to algebras with the Lefschetz property m times. We also give
upper bounds for the Betti numbers of Artinian algebras with a given Hilbert
function and with the Lefschetz property m times and describe the cases in
which these bounds are reached.
| math.AC | the authors tharima jcmigliore unagel and jwatanabe characterized the hilbert function of algbebras with the lefschetz property we extend this characterization to algebras with the lefschetz property m times we also give upper bounds for the betti numbers of artinian algebras with a given hilbert function and with the lefschetz property m times and describe the cases in which these bounds are reached | [['the', 'authors', 'tharima', 'jcmigliore', 'unagel', 'and', 'jwatanabe', 'characterized', 'the', 'hilbert', 'function', 'of', 'algbebras', 'with', 'the', 'lefschetz', 'property', 'we', 'extend', 'this', 'characterization', 'to', 'algebras', 'with', 'the', 'lefschetz', 'property', 'm', 'times', 'we', 'also', 'give', 'upper', 'bounds', 'for', 'the', 'betti', 'numbers', 'of', 'artinian', 'algebras', 'with', 'a', 'given', 'hilbert', 'function', 'and', 'with', 'the', 'lefschetz', 'property', 'm', 'times', 'and', 'describe', 'the', 'cases', 'in', 'which', 'these', 'bounds', 'are', 'reached']] | [-0.17374051746045208, 0.06707903061961305, -0.10649288046687584, 0.078598113945316, -0.022647739741308934, -0.15456811467924253, 0.012566101203415671, 0.3341132848973161, -0.29237834442053634, -0.26484922762831736, 0.13371891236727543, -0.23183763470372248, -0.0994461585028932, 0.18392385486995094, -0.1138115199764484, 0.015074475226795366, 0.051181720818617736, 0.05679979706825367, -0.13657627452229118, -0.3544724217198532, 0.38354013217934246, -0.010083131917655981, 0.16022784938907314, 0.12618615046336218, 0.1357443249334806, 0.01448717498991253, -0.0032785735574775727, -0.00256048573424025, -0.24822634257825799, 0.12768190061866208, 0.2835876639803936, 0.08822886620102258, 0.1726417137823742, -0.412533143792173, -0.06028294784081136, 0.2419012301473011, 0.09835761226713657, -0.053833383257934374, -0.006219837926970473, -0.2604836092475031, 0.10739631514899947, -0.14010792148524318, -0.17667294662959618, -0.07846393227448752, 0.05727979967948692, 0.06697042096920054, -0.2687726776790002, -0.006751077093589441, 0.10884031756170864, 0.1118330493813244, -0.05786717306533507, -0.10539703350514174, -0.040371963987126946, 0.042117133262920485, 0.030356623039677226, -0.030845837948586922, 0.07217968215941098, -0.10326505190259296, -0.13983573170242317, 0.3022718766447285, -0.025738268221551872, -0.20815351133331142, 0.12698823211168678, -0.22089196597065391, -0.1854001837220557, 0.10297679912363147, 0.02359608918878025, 0.1535772378154998, 5.631680311313991e-05, 0.18431907292989338, -0.15016042498935914, 0.03775289385772214, 0.09843823357469178, 0.11196624930819561, 0.08167046883368287, 0.0887099896268598, 0.09859842882323047, 0.16725221464153509, 0.0067036848451043, 0.007781329127189158, -0.3437206450496511, -0.20723768397523412, -0.15419802693890985, 0.1618375724245762, -0.11958682712028004, -0.1718377024858612, 0.41652082093060017, 0.09872412453566132, 0.24668983093880373, 0.21051498969960636, 0.2530228063496279, 0.13559345579866705, 0.09200946569185832, 0.09113321201233514, 0.15938532513020368, 0.25446308449970495, 0.03647835034042083, -0.06565583333501528, 0.0036190424339267715, 0.2589323525638159] |
707.2331 | Crystal structure, Fermi surface calculations and Shubnikov-de Haas
oscillations spectrum of the organic metal
$\theta$-(BETS)$_4$HgBr$_4$(C$_6$H$_5$Cl) at low temperature | The organic metal \theta$-(BETS)$_4$HgBr$_4$(C$_6$H$_5$Cl) is known to
undergo a phase transition as the temperature is lowered down to about 240 K.
X-ray data obtained at 200 K indicate a corresponding modification of the
crystal structure, the symmetry of which is lowered from quadratic to
monoclinic. In addition, two different types of cation layers are observed in
the unit cell. The Fermi surface (FS), which can be regarded as a network of
compensated electron and hole orbits according to band structure calculations
at room temperature, turns to a set of two alternating linear chains of orbits
at low temperature. The field and temperature dependence of the Shubnikov-de
Haas oscillations spectrum have been studied up to 54 T. Eight frequencies are
observed which, in any case, points to a FS much more complex than predicted by
band structure calculations at room temperature, even though some of the
observed Fourier components might be ascribed to magnetic breakdown or
frequency mixing. The obtained spectrum could result from either an interaction
between the FS's linked to each of the two cation layers or to an eventual
additional phase transition in the temperature range below 200 K.
| cond-mat.str-el | the organic metal thetabets_4hgbr_4c_6h_5cl is known to undergo a phase transition as the temperature is lowered down to about 240 k xray data obtained at 200 k indicate a corresponding modification of the crystal structure the symmetry of which is lowered from quadratic to monoclinic in addition two different types of cation layers are observed in the unit cell the fermi surface fs which can be regarded as a network of compensated electron and hole orbits according to band structure calculations at room temperature turns to a set of two alternating linear chains of orbits at low temperature the field and temperature dependence of the shubnikovde haas oscillations spectrum have been studied up to 54 t eight frequencies are observed which in any case points to a fs much more complex than predicted by band structure calculations at room temperature even though some of the observed fourier components might be ascribed to magnetic breakdown or frequency mixing the obtained spectrum could result from either an interaction between the fss linked to each of the two cation layers or to an eventual additional phase transition in the temperature range below 200 k | [['the', 'organic', 'metal', 'thetabets_4hgbr_4c_6h_5cl', 'is', 'known', 'to', 'undergo', 'a', 'phase', 'transition', 'as', 'the', 'temperature', 'is', 'lowered', 'down', 'to', 'about', '240', 'k', 'xray', 'data', 'obtained', 'at', '200', 'k', 'indicate', 'a', 'corresponding', 'modification', 'of', 'the', 'crystal', 'structure', 'the', 'symmetry', 'of', 'which', 'is', 'lowered', 'from', 'quadratic', 'to', 'monoclinic', 'in', 'addition', 'two', 'different', 'types', 'of', 'cation', 'layers', 'are', 'observed', 'in', 'the', 'unit', 'cell', 'the', 'fermi', 'surface', 'fs', 'which', 'can', 'be', 'regarded', 'as', 'a', 'network', 'of', 'compensated', 'electron', 'and', 'hole', 'orbits', 'according', 'to', 'band', 'structure', 'calculations', 'at', 'room', 'temperature', 'turns', 'to', 'a', 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707.2332 | On Selberg's small eigenvalue conjecture and residual eigenvalues | We show that Selberg's eigenvalue conjecture concerning small eigenvalues of
the automorphic Laplacian for congruence groups is equivalent to a conjecture
about the non-existence of residual eigenvalues for a perturbed system. We
prove this using a combination of methods from asymptotic perturbation theory
and number theory.
| math.NT math.SP | we show that selbergs eigenvalue conjecture concerning small eigenvalues of the automorphic laplacian for congruence groups is equivalent to a conjecture about the nonexistence of residual eigenvalues for a perturbed system we prove this using a combination of methods from asymptotic perturbation theory and number theory | [['we', 'show', 'that', 'selbergs', 'eigenvalue', 'conjecture', 'concerning', 'small', 'eigenvalues', 'of', 'the', 'automorphic', 'laplacian', 'for', 'congruence', 'groups', 'is', 'equivalent', 'to', 'a', 'conjecture', 'about', 'the', 'nonexistence', 'of', 'residual', 'eigenvalues', 'for', 'a', 'perturbed', 'system', 'we', 'prove', 'this', 'using', 'a', 'combination', 'of', 'methods', 'from', 'asymptotic', 'perturbation', 'theory', 'and', 'number', 'theory']] | [-0.18611514915676747, 0.025077803748781265, -0.16876514863384806, 0.10044002579525113, -0.04740167785759853, -0.09653717403947983, 0.007607649652408841, 0.2527726491427292, -0.2733686284121612, -0.2532923912892685, 0.11474379915339143, -0.32092362163466925, -0.21808367062603, 0.17510060532747404, -0.0919388044099121, 0.08974089380353689, 0.1326926118724615, 0.12132617705197923, -0.08345848809340564, -0.22459484620586687, 0.38801686160023446, -0.03561058410686319, 0.18850684294517597, 0.10263735659258522, 0.06544971680167415, -0.002744906688230517, 0.022060495204008792, -0.013163403709135626, -0.12197715683372656, 0.1813648725333421, 0.2506182263757143, 0.07759116093486386, 0.3071759885743908, -0.38809420383008925, -0.15439882148664608, 0.1804747841037486, 0.13354765247735803, 0.09449056663509944, -0.02580205873970914, -0.2944191042738764, 0.18442850383808432, -0.1286640007696722, -0.25410932219465787, -0.0848434249991956, 0.009165513653146185, 0.0006655280113868091, -0.29912521258887387, 0.14499960884289897, 0.10422165181649767, 0.11284231196117142, -0.09691962907495706, -0.13606411458306905, 0.03917564186470016, 0.07291831756415575, 0.08588873884013004, -0.08979474033391022, 0.03283093555870911, -0.06275078661881549, -0.08147806986032621, 0.29310647641187126, -0.062068682968737965, -0.189167947265441, 0.058440829768938864, -0.1511864140123615, -0.2129538910281237, 0.06833771146509958, 0.12338863337493461, 0.1682927390034108, -0.006212275799201882, 0.16144956407294123, -0.14888072483565495, 0.1531314385002074, 0.16478953356652157, -0.03558827850603215, 0.12597854591339178, 0.05821199804726664, 0.1233117402450222, 0.14148464693647364, 0.03406284990437005, -0.04640595331464125, -0.34715663155783777, -0.15298613776331363, -0.21771974167179153, 0.17757399477388547, -0.1314296957567896, -0.2330954381538069, 0.38691767742452415, 0.12838247913927975, 0.13938737231428208, 0.20267516927307713, 0.2121827551872348, 0.15149526846716585, -0.004383998113157956, 0.09273703170575849, 0.15742403981478317, 0.3072900489661033, -0.022650180182055286, -0.18535875790732223, -0.05778512877979032, 0.23684487815784372] |
707.2333 | Wigner theorems for random matrices with dependent entries: Ensembles
associated to symmetric spaces and sample covariance matrices | It is a classical result of Wigner that for an hermitian matrix with
independent entries on and above the diagonal, the mean empirical eigenvalue
distribution converges weakly to the semicircle law as matrix size tends to
infinity. In this paper, we prove analogs of Wigner's theorem for random
matrices taken from all infinitesimal versions of classical symmetric spaces.
This is a class of models which contains those studied by Wigner and Dyson,
along with seven others arising in condensed matter physics. Like Wigner's, our
results are universal in that they only depend on certain assumptions about the
moments of the matrix entries, but not on the specifics of their distributions.
What is more, we allow for a certain amount of dependence among the matrix
entries, in the spirit of a recent generalization of Wigner's theorem, due to
Schenker and Schulz-Baldes. As a byproduct, we obtain a universality result for
sample covariance matrices with dependent entries.
| math.PR math-ph math.MP | it is a classical result of wigner that for an hermitian matrix with independent entries on and above the diagonal the mean empirical eigenvalue distribution converges weakly to the semicircle law as matrix size tends to infinity in this paper we prove analogs of wigners theorem for random matrices taken from all infinitesimal versions of classical symmetric spaces this is a class of models which contains those studied by wigner and dyson along with seven others arising in condensed matter physics like wigners our results are universal in that they only depend on certain assumptions about the moments of the matrix entries but not on the specifics of their distributions what is more we allow for a certain amount of dependence among the matrix entries in the spirit of a recent generalization of wigners theorem due to schenker and schulzbaldes as a byproduct we obtain a universality result for sample covariance matrices with dependent entries | [['it', 'is', 'a', 'classical', 'result', 'of', 'wigner', 'that', 'for', 'an', 'hermitian', 'matrix', 'with', 'independent', 'entries', 'on', 'and', 'above', 'the', 'diagonal', 'the', 'mean', 'empirical', 'eigenvalue', 'distribution', 'converges', 'weakly', 'to', 'the', 'semicircle', 'law', 'as', 'matrix', 'size', 'tends', 'to', 'infinity', 'in', 'this', 'paper', 'we', 'prove', 'analogs', 'of', 'wigners', 'theorem', 'for', 'random', 'matrices', 'taken', 'from', 'all', 'infinitesimal', 'versions', 'of', 'classical', 'symmetric', 'spaces', 'this', 'is', 'a', 'class', 'of', 'models', 'which', 'contains', 'those', 'studied', 'by', 'wigner', 'and', 'dyson', 'along', 'with', 'seven', 'others', 'arising', 'in', 'condensed', 'matter', 'physics', 'like', 'wigners', 'our', 'results', 'are', 'universal', 'in', 'that', 'they', 'only', 'depend', 'on', 'certain', 'assumptions', 'about', 'the', 'moments', 'of', 'the', 'matrix', 'entries', 'but', 'not', 'on', 'the', 'specifics', 'of', 'their', 'distributions', 'what', 'is', 'more', 'we', 'allow', 'for', 'a', 'certain', 'amount', 'of', 'dependence', 'among', 'the', 'matrix', 'entries', 'in', 'the', 'spirit', 'of', 'a', 'recent', 'generalization', 'of', 'wigners', 'theorem', 'due', 'to', 'schenker', 'and', 'schulzbaldes', 'as', 'a', 'byproduct', 'we', 'obtain', 'a', 'universality', 'result', 'for', 'sample', 'covariance', 'matrices', 'with', 'dependent', 'entries']] | [-0.049916889927830665, 0.1416815085656708, -0.09671961347377228, 0.07702122167008178, -0.05744687942938218, -0.10935954214223931, 0.036718342147557245, 0.32509839659737, -0.25255841189815154, -0.2478169120667923, 0.10652224906840392, -0.3067342256346057, -0.16408465749193585, 0.15754564831694287, -0.09226198549112005, 0.06005395926955727, 0.024630023674258303, 0.07951541311678387, -0.12651146393787535, -0.25546528147533537, 0.34802766346913433, 0.02500893883407116, 0.25211440470189816, 0.018672286877558838, 0.07553487736919534, 0.05287649541071827, -0.03680836900227493, -0.02687082876781783, -0.06413543031808185, 0.08987193464361612, 0.21660985184878942, 0.10366973993851945, 0.2509978773570413, -0.36852001031656983, -0.13894090685662963, 0.16611121694046643, 0.12571622081694284, 0.0965314896559463, -0.03881433325295802, -0.2818090743850917, 0.09340301821263687, -0.16675538414368227, -0.20052601377735094, -0.06379589376550528, 0.03185524464539823, 0.03707752322117167, -0.2727451276484757, 0.1241310155920444, 0.1431285130821409, 0.02045725048716826, -0.012948130126742105, -0.19216954684065235, 0.05583894161898042, 0.09605962999668273, 0.06800539746670232, -0.03949891980061488, 0.11030726179615745, -0.09172449302728168, -0.0686213928563971, 0.380537639870759, -0.03968967869727602, -0.24324230989741702, 0.13304008925033192, -0.1799612617811128, -0.17635066817784983, 0.07802221668558383, 0.12875029866343304, 0.09756681138819512, -0.10543242029304947, 0.12817369658507466, -0.14561060194767292, 0.14230285222837402, 0.05672027999535203, 0.048528465211030936, 0.13773515589174726, 0.04740816869382416, 0.08954905934947273, 0.11583183788273844, -0.006493222765294054, -0.14685353926465577, -0.32701697541220537, -0.1507258090851528, -0.2761794653443259, 0.1412583816752416, -0.12507745352275143, -0.2171048290261458, 0.38857634048308093, 0.10891740130816376, 0.24032786955996868, 0.13092881666624076, 0.19365505731078766, 0.11232816787331455, 0.05535375248610733, 0.05222728490198572, 0.16592617977951324, 0.24612498564735777, 0.0992580936936241, -0.11922569854500432, 0.07284215320757921, 0.1027443349134222] |
707.2334 | UV Spectroscopy of Metal-Poor Massive Stars in the Small Magellanic
Cloud | The Hubble Space Telescope has provided the first clear evidence for weaker
winds of metal-poor massive stars in the Small Magellanic Cloud, confirming
theoretical predictions of the metallicity dependence of mass-loss rates and
wind terminal velocities. For lower luminosity O-type stars however, derived
mass-loss rates are orders of magnitude lower than predicted, and are at
present unexplained.
| astro-ph | the hubble space telescope has provided the first clear evidence for weaker winds of metalpoor massive stars in the small magellanic cloud confirming theoretical predictions of the metallicity dependence of massloss rates and wind terminal velocities for lower luminosity otype stars however derived massloss rates are orders of magnitude lower than predicted and are at present unexplained | [['the', 'hubble', 'space', 'telescope', 'has', 'provided', 'the', 'first', 'clear', 'evidence', 'for', 'weaker', 'winds', 'of', 'metalpoor', 'massive', 'stars', 'in', 'the', 'small', 'magellanic', 'cloud', 'confirming', 'theoretical', 'predictions', 'of', 'the', 'metallicity', 'dependence', 'of', 'massloss', 'rates', 'and', 'wind', 'terminal', 'velocities', 'for', 'lower', 'luminosity', 'otype', 'stars', 'however', 'derived', 'massloss', 'rates', 'are', 'orders', 'of', 'magnitude', 'lower', 'than', 'predicted', 'and', 'are', 'at', 'present', 'unexplained']] | [-0.10303402911022044, 0.14731842202640938, -0.019257863607715097, 0.16413604526927597, -0.13140100603433033, -0.04307319093168827, 0.09552219458202128, 0.43100561279999583, -0.07025890299394776, -0.36413474943031343, -0.002614805905818286, -0.27206604994768113, 0.06251823973204744, 0.29489613432241113, -0.053344613602875096, -0.03812164289615395, 0.13019380812010353, -0.07267515678285506, -0.08563218798729379, -0.3170791900994485, 0.30832203124698837, 0.07813637769013121, 0.14944910893641544, -0.04801717742852736, 0.06973149758159068, -0.26037263286937223, -0.07316504083900598, -0.04999602369590368, -0.2291080541908741, 0.03478053066748799, 0.1864925354327026, 0.12403936672694328, 0.20659872876447544, -0.37424451589845775, -0.2124887617599023, 0.023104454014907804, 0.26460962679253464, 0.03443688456491943, -0.09483560370771509, -0.22822549306019618, 0.04614217459681656, -0.19736102027328392, -0.21052231206436103, 0.044798014195341816, 0.11843446102156713, 0.023488450147979484, -0.275570798312465, 0.17915508498257973, -0.023762364283596214, 0.1894615852997001, -0.13928552467137037, -0.1924722001789824, -0.11185748055127956, 0.0438020035885928, 0.10486260862007998, 0.051614148773073236, 0.11280186413052051, -0.16334418148586624, 0.021263608104434974, 0.3931510051745072, -0.11491301917729352, 0.1249357304748213, 0.25224252157485144, -0.28610116161667465, -0.14584610747630922, 0.16648379304822078, 0.1583381460881547, 0.14695072724696315, -0.16881250956079416, -0.023294008134766238, 0.01670715045347287, 0.1500045895543799, 0.06852836928150632, 0.13935979641973972, 0.2756584675067611, 0.1431276427394008, 0.03264069681366285, 0.02939378180982251, -0.22264564978448967, -0.09134872226665418, -0.22039429810747765, -0.09196489500372033, -0.0880386787303315, 0.06826490116420023, -0.24315973737209692, -0.08542121690289493, 0.22226610399880692, 0.13835180609634048, 0.20293451362011725, 0.09641657647137579, 0.360984448155617, 0.16449725142631091, 0.12123354342194241, 0.19645172218677767, 0.39772552382527737, 0.20177263211001428, 0.09050224267207739, -0.25125541343566093, 0.22317276875439443, 0.042020742601731366] |
707.2335 | Quasielastic He atom scattering from surfaces: A stochastic description
of the dynamics of interacting adsorbates | The study of diffusion and low frequency vibrational motions of particles on
metal surfaces is of paramount importance; it provides valuable information on
the nature of the adsorbate-substrate and the substrate-substrate interactions.
In particular, the experimental broadening observed in the diffusive peak with
increasing coverage is usually interpreted in terms of a dipole-dipole like
interaction among adsorbates via extensive molecular dynamics calculations
within the Langevin framework. Here we present an alternative way to interpret
this broadening by means of a purely stochastic description, namely the
interacting single adsorbate approximation, where two noise sources are
considered: (1) a Gaussian white noise accounting for the surface friction and
temperature, and (2) a white shot noise replacing the interaction potential
between adsorbates. Standard Langevin numerical simulations for flat and
corrugated surfaces (with a separable potential) illustrate the dynamics of Na
atoms on a Cu(100) surface which fit fairly well to the analytical expressions
issued from simple models (free particle and anharmonic oscillator) when the
Gaussian approximation is assumed. A similar broadening is also expected for
the frustrated translational mode peaks.
| cond-mat.stat-mech cond-mat.mtrl-sci quant-ph | the study of diffusion and low frequency vibrational motions of particles on metal surfaces is of paramount importance it provides valuable information on the nature of the adsorbatesubstrate and the substratesubstrate interactions in particular the experimental broadening observed in the diffusive peak with increasing coverage is usually interpreted in terms of a dipoledipole like interaction among adsorbates via extensive molecular dynamics calculations within the langevin framework here we present an alternative way to interpret this broadening by means of a purely stochastic description namely the interacting single adsorbate approximation where two noise sources are considered 1 a gaussian white noise accounting for the surface friction and temperature and 2 a white shot noise replacing the interaction potential between adsorbates standard langevin numerical simulations for flat and corrugated surfaces with a separable potential illustrate the dynamics of na atoms on a cu100 surface which fit fairly well to the analytical expressions issued from simple models free particle and anharmonic oscillator when the gaussian approximation is assumed a similar broadening is also expected for the frustrated translational mode peaks | [['the', 'study', 'of', 'diffusion', 'and', 'low', 'frequency', 'vibrational', 'motions', 'of', 'particles', 'on', 'metal', 'surfaces', 'is', 'of', 'paramount', 'importance', 'it', 'provides', 'valuable', 'information', 'on', 'the', 'nature', 'of', 'the', 'adsorbatesubstrate', 'and', 'the', 'substratesubstrate', 'interactions', 'in', 'particular', 'the', 'experimental', 'broadening', 'observed', 'in', 'the', 'diffusive', 'peak', 'with', 'increasing', 'coverage', 'is', 'usually', 'interpreted', 'in', 'terms', 'of', 'a', 'dipoledipole', 'like', 'interaction', 'among', 'adsorbates', 'via', 'extensive', 'molecular', 'dynamics', 'calculations', 'within', 'the', 'langevin', 'framework', 'here', 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707.2336 | Spinor moving frame, M0-brane covariant BRST quantization and intrinsic
complexity of the pure spinor approach | To exhibit the possible origin of the inner complexity of the Berkovits's
pure spinor approach, we consider the covariant BRST quantization of the D=11
massless superparticle (M0-brane) in its spinor moving frame or twistor-like
Lorentz harmonics formulation. The presence of additional twistor-like
variables (spinor harmonics) allows us to separate covariantly the first and
the second class constraints. After taking into account the second class
constraints by means of Dirac brackets and after further reducing the first
class constraints algebra, the dynamical system is described by the cohomology
of a simple BRST charge associated to the d=1, n=16 supersymmetry algebra. The
calculation of the cohomology of this BRST operator requires a regularization
which implies the complexification of the bosonic ghost associated to the
kappa-symmetry and further leads to a complex (non-Hermitian) BRST charge which
is essentially the `pure spinor' BRST operator by Berkovits, but with a
composite pure spinor.
| hep-th | to exhibit the possible origin of the inner complexity of the berkovitss pure spinor approach we consider the covariant brst quantization of the d11 massless superparticle m0brane in its spinor moving frame or twistorlike lorentz harmonics formulation the presence of additional twistorlike variables spinor harmonics allows us to separate covariantly the first and the second class constraints after taking into account the second class constraints by means of dirac brackets and after further reducing the first class constraints algebra the dynamical system is described by the cohomology of a simple brst charge associated to the d1 n16 supersymmetry algebra the calculation of the cohomology of this brst operator requires a regularization which implies the complexification of the bosonic ghost associated to the kappasymmetry and further leads to a complex nonhermitian brst charge which is essentially the pure spinor brst operator by berkovits but with a composite pure spinor | [['to', 'exhibit', 'the', 'possible', 'origin', 'of', 'the', 'inner', 'complexity', 'of', 'the', 'berkovitss', 'pure', 'spinor', 'approach', 'we', 'consider', 'the', 'covariant', 'brst', 'quantization', 'of', 'the', 'd11', 'massless', 'superparticle', 'm0brane', 'in', 'its', 'spinor', 'moving', 'frame', 'or', 'twistorlike', 'lorentz', 'harmonics', 'formulation', 'the', 'presence', 'of', 'additional', 'twistorlike', 'variables', 'spinor', 'harmonics', 'allows', 'us', 'to', 'separate', 'covariantly', 'the', 'first', 'and', 'the', 'second', 'class', 'constraints', 'after', 'taking', 'into', 'account', 'the', 'second', 'class', 'constraints', 'by', 'means', 'of', 'dirac', 'brackets', 'and', 'after', 'further', 'reducing', 'the', 'first', 'class', 'constraints', 'algebra', 'the', 'dynamical', 'system', 'is', 'described', 'by', 'the', 'cohomology', 'of', 'a', 'simple', 'brst', 'charge', 'associated', 'to', 'the', 'd1', 'n16', 'supersymmetry', 'algebra', 'the', 'calculation', 'of', 'the', 'cohomology', 'of', 'this', 'brst', 'operator', 'requires', 'a', 'regularization', 'which', 'implies', 'the', 'complexification', 'of', 'the', 'bosonic', 'ghost', 'associated', 'to', 'the', 'kappasymmetry', 'and', 'further', 'leads', 'to', 'a', 'complex', 'nonhermitian', 'brst', 'charge', 'which', 'is', 'essentially', 'the', 'pure', 'spinor', 'brst', 'operator', 'by', 'berkovits', 'but', 'with', 'a', 'composite', 'pure', 'spinor']] | [-0.1640637405321626, 0.16814095164224707, -0.07547283201869641, 0.04360334611684717, -0.14125659617082198, -0.12513734546702254, -0.004562006473143705, 0.2828071916885326, -0.23884647525213407, -0.255368353456867, 0.03566116447398933, -0.19174924147718025, -0.13863261377432567, 0.04391960506834292, -0.07720431501083837, 0.017683699647468343, -0.005777491338956518, 0.07397685038895176, -0.1686102588139126, -0.265352174758493, 0.3940157929378353, 0.020419412121480823, 0.22787094269689095, -0.009888327411268235, 0.15930738576314077, 0.04046992085981785, -0.019342994659530873, -0.05171558731647373, -0.032727714913079936, 0.1077354415668314, 0.19851876365426344, 0.07461944833195129, 0.15903077240111496, -0.44369748162523825, -0.17881039071346627, 0.09250467885158906, 0.13719695088688005, 0.10814110070409975, 0.021841805041799334, -0.3304795722103342, 0.0012581852299547722, -0.18671305400325733, -0.19621232454506618, -0.12731547641637578, -0.002234818516805971, -0.14039811903141997, -0.2462863555545507, 0.09949581183455124, 0.08685504413288257, 0.02335634905857598, -0.12654129372946094, -0.07630594875457614, -0.1115288450984525, 0.012071463464740284, 0.06795739838782204, 0.027015660365181816, 0.14290621893030597, -0.14630817450095146, -0.13043263582132605, 0.4130345870975126, -0.048089701654611246, -0.2769646038915835, 0.1052432001543035, -0.13490650345108846, -0.19451946166477033, 0.14347965860989603, 0.0353361993416713, 0.15318576617128388, -0.16813459417142837, 0.2234293338989694, -0.015121422199608416, 0.0971279154835763, 0.09801838764458337, 0.06838329493061823, 0.21525322069369612, 0.06571589115386207, 0.07146932064321171, 0.1448520139163854, -0.004695352905772018, -0.12964718047169918, -0.4280761172424774, -0.20981429282221056, -0.1249751674477011, 0.10712097900076992, -0.09931020065478832, -0.11921536624685031, 0.4286957934726866, 0.09626238621125112, 0.12776811084500989, 0.04033167704743441, 0.24319984213936896, 0.18493470447739827, 0.1313221859872392, 0.002440660488696731, 0.19959801197571514, 0.229084887160115, 0.08366899278258816, -0.29512336635748304, -0.14663896022592576, 0.17960940838987832] |
707.2337 | Compatibility of quantization functors of Lie bialgebras with duality
and doubling operations | We study the behavior of the Etingof-Kazhdan quantization functors under the
natural duality operations of Lie bialgebras and Hopf algebras. In particular,
we prove that these functors are "compatible with duality", i.e., they commute
with the operation of duality followed by replacing the coproduct by its
opposite. We then show that any quantization functor with this property also
commutes with the operation of taking doubles. As an application, we show that
the Etingof-Kazhdan quantization of some affine Lie superalgebras coincide with
their Drinfeld-Jimbo-type quantizations.
| math.QA | we study the behavior of the etingofkazhdan quantization functors under the natural duality operations of lie bialgebras and hopf algebras in particular we prove that these functors are compatible with duality ie they commute with the operation of duality followed by replacing the coproduct by its opposite we then show that any quantization functor with this property also commutes with the operation of taking doubles as an application we show that the etingofkazhdan quantization of some affine lie superalgebras coincide with their drinfeldjimbotype quantizations | [['we', 'study', 'the', 'behavior', 'of', 'the', 'etingofkazhdan', 'quantization', 'functors', 'under', 'the', 'natural', 'duality', 'operations', 'of', 'lie', 'bialgebras', 'and', 'hopf', 'algebras', 'in', 'particular', 'we', 'prove', 'that', 'these', 'functors', 'are', 'compatible', 'with', 'duality', 'ie', 'they', 'commute', 'with', 'the', 'operation', 'of', 'duality', 'followed', 'by', 'replacing', 'the', 'coproduct', 'by', 'its', 'opposite', 'we', 'then', 'show', 'that', 'any', 'quantization', 'functor', 'with', 'this', 'property', 'also', 'commutes', 'with', 'the', 'operation', 'of', 'taking', 'doubles', 'as', 'an', 'application', 'we', 'show', 'that', 'the', 'etingofkazhdan', 'quantization', 'of', 'some', 'affine', 'lie', 'superalgebras', 'coincide', 'with', 'their', 'drinfeldjimbotype', 'quantizations']] | [-0.19097095432814704, 0.10155054280153582, -0.0831235774557095, 0.050587834996530356, -0.11584879742957742, -0.1551497887696577, -0.0008876554510859122, 0.4200314347104854, -0.3860228240983673, -0.17477814257369342, 0.11284368819731053, -0.1920679620451698, -0.22791992040373474, 0.1551025444978332, -0.207178228555797, -0.07879837065533993, 0.09246514794831893, 0.12106744910825987, -0.18461275344619146, -0.2511194460893454, 0.4454011454370366, 0.027097714226131876, 0.2638480143806706, -0.013805622316992292, 0.15782719370291895, 0.03628475690844009, 0.0058404120058382315, -0.012418446568659989, -0.1126382071734371, 0.07839620185185628, 0.27167561021913966, 0.04881941347315638, 0.16649851786443987, -0.4278080955495587, -0.03832102581544454, 0.11891519515326314, 0.12296943837939481, 0.03429779678538262, -0.03810411115760455, -0.31078461232224863, 0.11029498571675854, -0.23426659266655164, -0.07451494187341039, -0.09105767856677432, -0.0010391962097351809, 0.01770556793851127, -0.2119870738698596, -0.026245239059264066, 0.14054573173578605, 0.10767679323767682, -0.12734476897265223, -0.05151154142411717, -0.09831034914444549, 0.08812961480944945, -0.009395465871925095, -0.012293027509116086, 0.13468515523428837, -0.08650849766030638, -0.2126363599378369, 0.3631692696587149, -0.013753346649997205, -0.22233530882386918, 0.12573436529414886, -0.17715168179921717, -0.20324975881074747, 0.04964824419199343, -0.0668362423059452, 0.10261070068521672, -0.032110522226262164, 0.1974604312570328, -0.09345867165016482, -0.04209530380475952, 0.1339468064336443, 0.08391700081908739, 0.12394703074403286, 0.0688449186076556, 0.06879033862840361, 0.14643483675163554, 0.04143883363085698, -0.07713056989126356, -0.40304429379168405, -0.1868665837570576, -0.04628023987142257, 0.12441373598784299, -0.10736741485191278, -0.12081066291240683, 0.36159744097974644, 0.16247482744819788, 0.2155709323776235, 0.17897016334022026, 0.22597721403083168, 0.14246995723385544, 0.16393228603740145, 0.011074709464762226, 0.19793865623419643, 0.26596398061949267, 0.0005154914267540697, -0.15511580069510109, -0.09235272948708699, 0.17974328040986895] |
707.2338 | Lorentz transformation by mimicking the Lorentz transformation | We show that starting with the fact that special relativity theory is
concerned with a distortion of the observed length of a moving rod, without
mentioning if it is a "contraction" or "dilation", we can derive the Lorentz
transformations for the spacetime coordinates of the same event. This
derivation is based on expressing the length of the moving rod as a sum of
components with all the lengths involved in this summation being measured by
the observers of the same inertial reference frame.
| physics.gen-ph | we show that starting with the fact that special relativity theory is concerned with a distortion of the observed length of a moving rod without mentioning if it is a contraction or dilation we can derive the lorentz transformations for the spacetime coordinates of the same event this derivation is based on expressing the length of the moving rod as a sum of components with all the lengths involved in this summation being measured by the observers of the same inertial reference frame | [['we', 'show', 'that', 'starting', 'with', 'the', 'fact', 'that', 'special', 'relativity', 'theory', 'is', 'concerned', 'with', 'a', 'distortion', 'of', 'the', 'observed', 'length', 'of', 'a', 'moving', 'rod', 'without', 'mentioning', 'if', 'it', 'is', 'a', 'contraction', 'or', 'dilation', 'we', 'can', 'derive', 'the', 'lorentz', 'transformations', 'for', 'the', 'spacetime', 'coordinates', 'of', 'the', 'same', 'event', 'this', 'derivation', 'is', 'based', 'on', 'expressing', 'the', 'length', 'of', 'the', 'moving', 'rod', 'as', 'a', 'sum', 'of', 'components', 'with', 'all', 'the', 'lengths', 'involved', 'in', 'this', 'summation', 'being', 'measured', 'by', 'the', 'observers', 'of', 'the', 'same', 'inertial', 'reference', 'frame']] | [-0.16011668520093145, 0.15656578776437835, -0.08031665688837845, 0.025866635640976524, -0.06359246040481221, -0.10456225030258837, -0.0171722535931797, 0.3605907330884183, -0.26643763169231094, -0.23410419587898684, 0.08290838446125882, -0.25746775399725214, -0.10971205080410533, 0.16080901996759944, -0.05758838142346905, 0.009221318918448615, 0.039473178103588615, 0.13844267253662987, -0.12539913468287292, -0.17956809589852502, 0.31456180240577425, 0.07916285366897123, 0.25596128702612525, -0.030744683266763228, 0.1690140162112124, 0.07962243711710515, -0.056632113222913616, 0.07218946272883205, -0.10169689164932463, 0.10812033325747912, 0.17369157903973598, 0.11607845564630914, 0.23859191423349352, -0.3869103794827698, -0.2215948043144252, 0.056708735694368205, 0.10872645380469151, 0.13685483695113054, -0.035541046530019535, -0.2705660273534167, 0.06560036343107202, -0.12573171017624168, -0.1679289658800755, 0.028671349135104073, 0.07811841455986723, 0.04993286590843675, -0.23251556206763868, 0.06874572830162494, 0.09302379738494575, 0.05897042329608272, -0.08448084331319544, -0.045013267523048066, 0.021668448500021035, 0.13988480671780207, 0.13017796732608722, 0.046566224499908555, 0.12799569492015134, -0.06387670917705779, -0.08416097060249872, 0.4646051596984806, -0.048863917639681016, -0.251347950491381, 0.13231708015405, -0.16985242566969022, -0.0925000628585512, 0.09228147420588971, 0.09862869871353888, 0.1301088542957981, -0.1396845470306026, 0.06566422037690518, -0.07261896145765681, 0.1549435593173783, 0.14939675515472708, 0.01129460041916155, 0.18967281608892805, 0.12365538414696747, 0.04896003732390082, 0.1266707893087899, -0.06002476949704789, -0.07374191530475235, -0.4238996339670147, -0.17363304983128805, -0.187149493311285, 0.0657095831751554, -0.10949252670383956, -0.17252695182876954, 0.3380863338102957, 0.09386947762827019, 0.20823623257947255, 0.09519096822141254, 0.2945416836314891, 0.13014020831240006, 0.11530375698895519, 0.07291271058977189, 0.2639591921350907, 0.0913738827108888, 0.05203069687585335, -0.20280335737526956, 0.04186274377202772, 0.11555716510951879] |
707.2339 | Detection of $1.6\times 10^{10}$ M$_\odot$ of molecular gas in the host
galaxy of the $z=5.77$ SDSS quasar J0927+2001 | We have detected emission by the CO 5-4 and 6-5 rotational transitions at $z
= 5.7722\pm 0.0006$ from the host galaxy of the SDSS quasar J0927+2001 using
the Plateau de Bure interferometer. The peak line flux density for the CO 5-4
line is $0.72 \pm 0.09$ mJy, with a line FWHM = $610 \pm 110$ km s$^{-1}$. The
implied molecular gas mass is $(1.6 \pm 0.3) \times 10^{10}$ M$_\odot$. We also
detect the 90 GHz continuum at $0.12 \pm 0.03$ mJy, consistent with a 47K dust
spectrum extrapolated from higher frequencies. J0927+2001 is the second example
of a huge molecular gas reservoir within the host galaxy of a quasar within 1
Gyr of the big bang. Observations of J0927+2001 are consistent with a massive
starburst coeval with a bright quasar phase in the galaxy, suggesting the rapid
formation of both a super-massive black hole through accretion, and the stellar
host spheroid, at a time close to the end of cosmic reionization.
| astro-ph | we have detected emission by the co 54 and 65 rotational transitions at z 57722pm 00006 from the host galaxy of the sdss quasar j09272001 using the plateau de bure interferometer the peak line flux density for the co 54 line is 072 pm 009 mjy with a line fwhm 610 pm 110 km s1 the implied molecular gas mass is 16 pm 03 times 1010 m_odot we also detect the 90 ghz continuum at 012 pm 003 mjy consistent with a 47k dust spectrum extrapolated from higher frequencies j09272001 is the second example of a huge molecular gas reservoir within the host galaxy of a quasar within 1 gyr of the big bang observations of j09272001 are consistent with a massive starburst coeval with a bright quasar phase in the galaxy suggesting the rapid formation of both a supermassive black hole through accretion and the stellar host spheroid at a time close to the end of cosmic reionization | [['we', 'have', 'detected', 'emission', 'by', 'the', 'co', '54', 'and', '65', 'rotational', 'transitions', 'at', 'z', '57722pm', '00006', 'from', 'the', 'host', 'galaxy', 'of', 'the', 'sdss', 'quasar', 'j09272001', 'using', 'the', 'plateau', 'de', 'bure', 'interferometer', 'the', 'peak', 'line', 'flux', 'density', 'for', 'the', 'co', '54', 'line', 'is', '072', 'pm', '009', 'mjy', 'with', 'a', 'line', 'fwhm', '610', 'pm', '110', 'km', 's1', 'the', 'implied', 'molecular', 'gas', 'mass', 'is', '16', 'pm', '03', 'times', '1010', 'm_odot', 'we', 'also', 'detect', 'the', '90', 'ghz', 'continuum', 'at', '012', 'pm', '003', 'mjy', 'consistent', 'with', 'a', '47k', 'dust', 'spectrum', 'extrapolated', 'from', 'higher', 'frequencies', 'j09272001', 'is', 'the', 'second', 'example', 'of', 'a', 'huge', 'molecular', 'gas', 'reservoir', 'within', 'the', 'host', 'galaxy', 'of', 'a', 'quasar', 'within', '1', 'gyr', 'of', 'the', 'big', 'bang', 'observations', 'of', 'j09272001', 'are', 'consistent', 'with', 'a', 'massive', 'starburst', 'coeval', 'with', 'a', 'bright', 'quasar', 'phase', 'in', 'the', 'galaxy', 'suggesting', 'the', 'rapid', 'formation', 'of', 'both', 'a', 'supermassive', 'black', 'hole', 'through', 'accretion', 'and', 'the', 'stellar', 'host', 'spheroid', 'at', 'a', 'time', 'close', 'to', 'the', 'end', 'of', 'cosmic', 'reionization']] | [-0.07875634847990609, 0.11196441447643764, -0.010976755222352811, 0.058667167675640154, -0.02073940115426726, -0.0830482385663575, 0.06990340576047384, 0.42288801671724907, -0.057871046378807744, -0.3666163934748384, 0.07248129350478802, -0.33839244750340153, 0.078962578360121, 0.15547889220540093, 0.018229816869325653, -0.05829212715911172, 0.0019429077193895473, -0.13105899015370803, -0.07238509022347818, -0.21711732334563438, 0.2242986514775342, 0.09409149709935713, 0.16106860573651105, -0.021917610968569222, 0.09372517384170213, -0.16423669721801543, -0.04241384239277885, -0.10180655496248009, -0.2037151332066359, -0.00831288358497233, 0.23438519460320048, 0.07937117881742836, 0.21056614733371837, -0.28733516145568294, -0.15325796781063575, 0.058760979896576346, 0.19964056666586785, 0.04419735970588613, -0.020123793448828444, -0.31450794111418573, 0.0850436313231063, -0.20553907271934366, -0.18442142863545707, 0.20131423822537808, 0.06045803031884134, -0.022207192351593623, -0.1740251346837576, 0.24412178691263647, -0.05410944986454789, 0.11336416153449423, -0.11391378715162791, -0.1048009591324467, -0.12393360313535019, -0.019970100716381226, -0.03509110103868231, 0.19116207732689344, 0.23668423990565765, -0.055163559633531145, -0.012129336946254855, 0.4186989895297992, -0.13533002078309184, 0.10286238393451594, 0.17414358990337653, -0.26632276734873606, -0.19629926494281455, 0.2526958028467584, 0.10422602509549242, 0.07798177629298106, -0.11104276491317285, -0.021528983484994903, 0.01656609168055149, 0.312703381683029, 0.05597275079675962, 0.03291797769413244, 0.43437020321187997, 0.09409373141073657, 0.015924962293474548, 0.027514726171104967, -0.30465802041625106, -0.006934773427422477, -0.20506599259008712, -0.0880582464705634, -0.13044626854287897, 0.18225619821113687, -0.21651892839983264, -0.05492924112377871, 0.3065645922722495, 0.08056062613201292, 0.2813874264822424, 0.09368767575184002, 0.2836976763379725, 0.08216451112876492, 0.06843112175989471, 0.12671376750038205, 0.31239602089965646, 0.22722794830687107, 0.11265276405883694, -0.22306023411547818, 0.0035439177705092898, -0.04257925564815184] |
707.234 | Negative dependence and the geometry of polynomials | We introduce the class of {\em strongly Rayleigh} probability measures by
means of geometric properties of their generating polynomials that amount to
the stability of the latter. This class covers important models such as
determinantal measures (e.g. product measures, uniform random spanning tree
measures) and distributions for symmetric exclusion processes. We show that
strongly Rayleigh measures enjoy all virtues of negative dependence and we also
prove a series of conjectures due to Liggett, Pemantle, and Wagner,
respectively. Moreover, we extend Lyons' recent results on determinantal
measures and we construct counterexamples to several conjectures of Pemantle
and Wagner on negative dependence and ultra log-concave rank sequences.
| math.PR math-ph math.CO math.MP | we introduce the class of em strongly rayleigh probability measures by means of geometric properties of their generating polynomials that amount to the stability of the latter this class covers important models such as determinantal measures eg product measures uniform random spanning tree measures and distributions for symmetric exclusion processes we show that strongly rayleigh measures enjoy all virtues of negative dependence and we also prove a series of conjectures due to liggett pemantle and wagner respectively moreover we extend lyons recent results on determinantal measures and we construct counterexamples to several conjectures of pemantle and wagner on negative dependence and ultra logconcave rank sequences | [['we', 'introduce', 'the', 'class', 'of', 'em', 'strongly', 'rayleigh', 'probability', 'measures', 'by', 'means', 'of', 'geometric', 'properties', 'of', 'their', 'generating', 'polynomials', 'that', 'amount', 'to', 'the', 'stability', 'of', 'the', 'latter', 'this', 'class', 'covers', 'important', 'models', 'such', 'as', 'determinantal', 'measures', 'eg', 'product', 'measures', 'uniform', 'random', 'spanning', 'tree', 'measures', 'and', 'distributions', 'for', 'symmetric', 'exclusion', 'processes', 'we', 'show', 'that', 'strongly', 'rayleigh', 'measures', 'enjoy', 'all', 'virtues', 'of', 'negative', 'dependence', 'and', 'we', 'also', 'prove', 'a', 'series', 'of', 'conjectures', 'due', 'to', 'liggett', 'pemantle', 'and', 'wagner', 'respectively', 'moreover', 'we', 'extend', 'lyons', 'recent', 'results', 'on', 'determinantal', 'measures', 'and', 'we', 'construct', 'counterexamples', 'to', 'several', 'conjectures', 'of', 'pemantle', 'and', 'wagner', 'on', 'negative', 'dependence', 'and', 'ultra', 'logconcave', 'rank', 'sequences']] | [-0.10007069297578364, 0.12103192085577619, -0.0899413358830359, 0.12229090460903189, -0.052683474362960885, -0.1055948120054035, 0.07377548716252759, 0.36947441688250926, -0.2603583562054804, -0.2352371248394428, 0.09623454571479843, -0.30021287108815853, -0.20688433840516068, 0.20021870327847344, -0.1136401329766072, 0.08099866969777005, 0.02934018988162279, -0.025117372739173117, -0.07171345612566386, -0.31300728644155673, 0.37000177767393844, 0.045987897889599914, 0.2664675999787592, 0.1372333434643224, 0.11697685651126362, 0.055871684796043805, -0.10077879556144277, 0.03268374553216355, -0.22012964397837917, 0.14924136445901934, 0.2014732390513624, 0.15357804796658456, 0.2325057376309165, -0.31513784061230365, -0.1957022597569795, 0.17711441262314717, 0.06960913458065729, 0.023363017071304577, -0.018676068913191558, -0.29107896515301296, 0.09402742536649818, -0.1454131483765585, -0.14278122635913038, -0.1178395121934868, 0.06528538513063853, 0.11277914720454386, -0.2926228611064809, 0.06211380939237729, 0.141026256224584, 0.0823172856033558, -0.022257429159556825, -0.16904432235196942, 0.028412177316134886, 0.03517155820681225, 0.06428893801002275, -0.043629300842682524, 0.07245974548249727, -0.09224054159463517, -0.19268095843006103, 0.27949796407705263, -0.08025863790175035, -0.22742078078999406, 0.2229746021419054, -0.17601830629809273, -0.1959961133166438, 0.08337025476087417, 0.15265736626128534, 0.14818303621224393, -0.0838315048742862, 0.10665315205253484, -0.11494941241329625, 0.05119354105221906, 0.15928296465426683, 0.061915748548649605, 0.12009525121234002, 0.03524106441154366, 0.10198471370995754, 0.17278286653482133, -0.030693098884962855, -0.11350369027239227, -0.2618521079598438, -0.15932422979247002, -0.17375103084570062, 0.09619233565005873, -0.13517514891462357, -0.21136487868747542, 0.3718529616305161, 0.14201214784711955, 0.19592839822705302, 0.1600557045090855, 0.16971478521646488, 0.10834305249487183, -0.023448945578586844, 0.07044394717418721, 0.09240143802903947, 0.23754380622302138, 0.025981812258916243, -0.10820043791262876, 0.09159640707629954, 0.11937477866498132] |
707.2341 | A Cultural Market Model | Social interactions and personal tastes shape our consumption behavior of
cultural products. In this study, we present a computational model of a
cultural market and we aim to analyze the behavior of the consumer population
as an emergent phenomena. Our results suggest that the final market shares of
cultural products dramatically depend on consumer heterogeneity and social
interaction pressure. Furthermore, the relation between the resulting market
shares and social interaction is robust with respect to a wide range of
variation in the parameter values and the type of topology.
| q-fin.GN cs.CY nlin.AO physics.soc-ph | social interactions and personal tastes shape our consumption behavior of cultural products in this study we present a computational model of a cultural market and we aim to analyze the behavior of the consumer population as an emergent phenomena our results suggest that the final market shares of cultural products dramatically depend on consumer heterogeneity and social interaction pressure furthermore the relation between the resulting market shares and social interaction is robust with respect to a wide range of variation in the parameter values and the type of topology | [['social', 'interactions', 'and', 'personal', 'tastes', 'shape', 'our', 'consumption', 'behavior', 'of', 'cultural', 'products', 'in', 'this', 'study', 'we', 'present', 'a', 'computational', 'model', 'of', 'a', 'cultural', 'market', 'and', 'we', 'aim', 'to', 'analyze', 'the', 'behavior', 'of', 'the', 'consumer', 'population', 'as', 'an', 'emergent', 'phenomena', 'our', 'results', 'suggest', 'that', 'the', 'final', 'market', 'shares', 'of', 'cultural', 'products', 'dramatically', 'depend', 'on', 'consumer', 'heterogeneity', 'and', 'social', 'interaction', 'pressure', 'furthermore', 'the', 'relation', 'between', 'the', 'resulting', 'market', 'shares', 'and', 'social', 'interaction', 'is', 'robust', 'with', 'respect', 'to', 'a', 'wide', 'range', 'of', 'variation', 'in', 'the', 'parameter', 'values', 'and', 'the', 'type', 'of', 'topology']] | [-0.11914982240688934, 0.08967987111435413, -0.10180978888575135, 0.08902074524274703, -0.10970888817368933, -0.07859396545760584, 0.07473529740027414, 0.39385373059534623, -0.29892117538478935, -0.3206671389333872, 0.05920847139865411, -0.3140295092735879, -0.2172403597178754, 0.14361588618969232, -0.0999902639265978, -0.06256942460009321, 0.03861458621019225, 0.04555717106448131, 0.017105121157665767, -0.2456413062310286, 0.36315155329622245, 0.051911112946573267, 0.33178740705290205, 0.09527022041003691, 0.08196653535045433, 0.0010651373409069657, -0.04036174982451321, 0.03914396352856682, -0.13931058769238905, 0.16297600429055145, 0.2541482460520262, 0.14806029573867746, 0.32605445887265583, -0.41105050336192833, -0.17667659950767006, 0.10129370158695186, 0.08759556555848443, 0.038403983662177, -0.02623845300548239, -0.2807393241673708, 0.016790716507958686, -0.260528547385854, -0.10548373799917571, -0.07109597218589167, 0.025046978135373484, 0.06932463665660261, -0.24002941413207002, 0.05574826579122396, -0.0046486369951554895, 0.09983395613478811, -0.09801827995315864, -0.09283114490465502, -0.05781496438626828, 0.21356538624052754, 0.1443760911214657, -0.0748847632268653, 0.17972414730263225, -0.20608315152492834, -0.132952725705743, 0.4150204181126999, -0.0467346554126308, -0.14149221461894138, 0.2103840003857452, -0.13464871592024405, -0.10607303800375274, 0.062275444084171495, 0.24246104615164943, 0.012750076967176427, -0.14926338159175737, 0.048140629672764515, -0.025130109340894255, 0.20515426620841026, -0.006176736980174365, 0.05828937956424995, 0.1535954828102016, 0.206035387903724, 0.07074583937502937, 0.10312624032127807, -0.00943337584678293, -0.15442182448054298, -0.2174488686108857, -0.15642653538562942, -0.14422578093062124, 0.050153665914294425, -0.20273845634875123, -0.16396443847190129, 0.44776957925785793, 0.17134005135563568, 0.17970865193769844, 0.06855565108610003, 0.2295168765579884, 0.038913999141319496, 0.015087700626823339, 0.02855390373073267, 0.1855809934583775, 0.004380022050038482, 0.19962410189818297, -0.24706088488638986, 0.18079651977992459, -0.03971414355916923] |
707.2342 | AGN counts at 15um. XMM observations of the ELAIS-S1-5 sample | Context: The counts of galaxies and AGN in the mid infra-red (MIR) bands are
important instruments for studying their cosmological evolution. However, the
classic spectral line ratios techniques can become misleading when trying to
properly separate AGN from starbursts or even from apparently normal galaxies.
Aims: We use X-ray band observations to discriminate AGN activity in
previously classified MIR-selected starburst galaxies and to derive updated
AGN1 and (Compton thin) AGN2 counts at 15 um.
Methods: XMM observations of the ELAIS-S1 15um sample down to flux limits
~2x10^-15 erg cm^-2 s^-1 (2-10 keV band) were used. We classified as AGN all
those MIR sources with a unabsorbed 2-10 keV X-ray luminosity higher that
~10^42 erg/s.
Results: We find that at least about 13(+/-6) per cent of the previously
classified starburst galaxies harbor an AGN. According to these figures, we
provide an updated estimate of the counts of AGN1 and (Compton thin) AGN2 at 15
um. It turns out that at least 24% of the extragalactic sources brighter than
0.6 my at 15 um are AGN (~13% contribution to the extragalactic background
produced at fluxes brighter than 0.6 mJy).
| astro-ph | context the counts of galaxies and agn in the mid infrared mir bands are important instruments for studying their cosmological evolution however the classic spectral line ratios techniques can become misleading when trying to properly separate agn from starbursts or even from apparently normal galaxies aims we use xray band observations to discriminate agn activity in previously classified mirselected starburst galaxies and to derive updated agn1 and compton thin agn2 counts at 15 um methods xmm observations of the elaiss1 15um sample down to flux limits 2x1015 erg cm2 s1 210 kev band were used we classified as agn all those mir sources with a unabsorbed 210 kev xray luminosity higher that 1042 ergs results we find that at least about 136 per cent of the previously classified starburst galaxies harbor an agn according to these figures we provide an updated estimate of the counts of agn1 and compton thin agn2 at 15 um it turns out that at least 24 of the extragalactic sources brighter than 06 my at 15 um are agn 13 contribution to the extragalactic background produced at fluxes brighter than 06 mjy | [['context', 'the', 'counts', 'of', 'galaxies', 'and', 'agn', 'in', 'the', 'mid', 'infrared', 'mir', 'bands', 'are', 'important', 'instruments', 'for', 'studying', 'their', 'cosmological', 'evolution', 'however', 'the', 'classic', 'spectral', 'line', 'ratios', 'techniques', 'can', 'become', 'misleading', 'when', 'trying', 'to', 'properly', 'separate', 'agn', 'from', 'starbursts', 'or', 'even', 'from', 'apparently', 'normal', 'galaxies', 'aims', 'we', 'use', 'xray', 'band', 'observations', 'to', 'discriminate', 'agn', 'activity', 'in', 'previously', 'classified', 'mirselected', 'starburst', 'galaxies', 'and', 'to', 'derive', 'updated', 'agn1', 'and', 'compton', 'thin', 'agn2', 'counts', 'at', '15', 'um', 'methods', 'xmm', 'observations', 'of', 'the', 'elaiss1', '15um', 'sample', 'down', 'to', 'flux', 'limits', '2x1015', 'erg', 'cm2', 's1', '210', 'kev', 'band', 'were', 'used', 'we', 'classified', 'as', 'agn', 'all', 'those', 'mir', 'sources', 'with', 'a', 'unabsorbed', '210', 'kev', 'xray', 'luminosity', 'higher', 'that', '1042', 'ergs', 'results', 'we', 'find', 'that', 'at', 'least', 'about', '136', 'per', 'cent', 'of', 'the', 'previously', 'classified', 'starburst', 'galaxies', 'harbor', 'an', 'agn', 'according', 'to', 'these', 'figures', 'we', 'provide', 'an', 'updated', 'estimate', 'of', 'the', 'counts', 'of', 'agn1', 'and', 'compton', 'thin', 'agn2', 'at', '15', 'um', 'it', 'turns', 'out', 'that', 'at', 'least', '24', 'of', 'the', 'extragalactic', 'sources', 'brighter', 'than', '06', 'my', 'at', '15', 'um', 'are', 'agn', '13', 'contribution', 'to', 'the', 'extragalactic', 'background', 'produced', 'at', 'fluxes', 'brighter', 'than', '06', 'mjy']] | [0.04183598911329944, 0.08984294351900649, -0.02355931116078786, 0.1935301831410451, -0.08500020393484177, -0.0899673774041594, 0.0731253700310932, 0.5246779742566022, -0.057180541379496776, -0.4032736504550047, 0.05669831457047631, -0.4068199514067747, 0.08333509715671159, 0.2032472370466327, -0.03540244583572127, -0.08956520208580927, -0.05525868722327293, -0.17915799367763874, -0.013470783894433376, -0.32699474968130693, 0.21112413632678476, 0.0996132175423165, 0.17259807464352903, -0.05054209837789603, 0.08030256451690261, -0.12048563265296466, -0.12064895402381128, -0.06417086370010583, -0.1377736367502752, 0.012204078536600193, 0.3420818697581476, 0.06986988964552847, 0.2088566850814819, -0.3222531450257987, -0.16950565463250733, 0.07995012202574049, 0.20780766332512074, -0.0608607293529944, 0.051815183292875155, -0.23808014853035703, 0.066583061907042, -0.1848198526593692, -0.15139480584480347, 0.10477068738944649, 0.023326781192386056, -0.00186475527903593, -0.1435370786174046, 0.14473858555868507, -0.011102401986058283, 0.11173485881116062, -0.15652065659888129, -0.1629592994636393, -0.0711611691702974, 0.025434767160804964, 0.02639980077678786, 0.12338596875878938, 0.2331868342606707, -0.14040331899146127, -0.07286788264717807, 0.36763661562460154, -0.01894206260993982, 0.10730308320443022, 0.2108399592437109, -0.1915487724961464, -0.20909544637546262, 0.2628504572097551, 0.10871045866652447, 0.0902039881292631, -0.15219674924462298, -0.05425755087694621, 0.020545851132947015, 0.30081736569337664, 0.03298281990290485, 0.09617318001570788, 0.3181019806512258, 0.037013784265095856, 0.02388995589145564, 0.09595476293732177, -0.2835373121194223, 0.07946826162982114, -0.26839201898876835, -0.0197077095010542, -0.09416191885061063, 0.21165853686927055, -0.14905398690364607, -0.05658155974849839, 0.316599486430579, 0.10790728837909068, 0.206368084242418, 0.06672636141227359, 0.2833341455714588, 0.0966682378997974, 0.11359511356412329, 0.160403844599119, 0.3465157440685503, 0.16099093782461502, 0.08260246927810729, -0.13769697509195536, -0.020146839191170936, -0.012546464346379122] |
707.2343 | Dust-scattered X-ray halos around two Swift gamma-ray bursts: GRB 061019
and GRB 070129 | Two new expanding X-ray rings were detected by the Swift XRT instrument
during early follow-up observations of GRB 061019 and GRB 070129, increasing to
5 the number of dust scattering X-ray halos observed around GRBs. Although
these two halos were particularly faint, a sensitive analysis can be performed
that optimizes the method originally developed by Tiengo & Mereghetti (2006) to
analyze dust scattering rings observed with XMM-Newton for the Swift satellite.
In the case of GRB 061019, a known giant molecular cloud is identified as the
one responsible for the scattering process, and its distance is accurately
measured (d=940$\pm$40 pc) through the dynamics of the expanding ring. In the
second case, XRT observed both the main peak of the prompt emission of GRB
070129 and the scattering halo, but the small number of detected halo photons
prevents us from distinguish between different dust models.
| astro-ph | two new expanding xray rings were detected by the swift xrt instrument during early followup observations of grb 061019 and grb 070129 increasing to 5 the number of dust scattering xray halos observed around grbs although these two halos were particularly faint a sensitive analysis can be performed that optimizes the method originally developed by tiengo mereghetti 2006 to analyze dust scattering rings observed with xmmnewton for the swift satellite in the case of grb 061019 a known giant molecular cloud is identified as the one responsible for the scattering process and its distance is accurately measured d940pm40 pc through the dynamics of the expanding ring in the second case xrt observed both the main peak of the prompt emission of grb 070129 and the scattering halo but the small number of detected halo photons prevents us from distinguish between different dust models | [['two', 'new', 'expanding', 'xray', 'rings', 'were', 'detected', 'by', 'the', 'swift', 'xrt', 'instrument', 'during', 'early', 'followup', 'observations', 'of', 'grb', '061019', 'and', 'grb', '070129', 'increasing', 'to', '5', 'the', 'number', 'of', 'dust', 'scattering', 'xray', 'halos', 'observed', 'around', 'grbs', 'although', 'these', 'two', 'halos', 'were', 'particularly', 'faint', 'a', 'sensitive', 'analysis', 'can', 'be', 'performed', 'that', 'optimizes', 'the', 'method', 'originally', 'developed', 'by', 'tiengo', 'mereghetti', '2006', 'to', 'analyze', 'dust', 'scattering', 'rings', 'observed', 'with', 'xmmnewton', 'for', 'the', 'swift', 'satellite', 'in', 'the', 'case', 'of', 'grb', '061019', 'a', 'known', 'giant', 'molecular', 'cloud', 'is', 'identified', 'as', 'the', 'one', 'responsible', 'for', 'the', 'scattering', 'process', 'and', 'its', 'distance', 'is', 'accurately', 'measured', 'd940pm40', 'pc', 'through', 'the', 'dynamics', 'of', 'the', 'expanding', 'ring', 'in', 'the', 'second', 'case', 'xrt', 'observed', 'both', 'the', 'main', 'peak', 'of', 'the', 'prompt', 'emission', 'of', 'grb', '070129', 'and', 'the', 'scattering', 'halo', 'but', 'the', 'small', 'number', 'of', 'detected', 'halo', 'photons', 'prevents', 'us', 'from', 'distinguish', 'between', 'different', 'dust', 'models']] | [-0.06931629082650322, 0.1376375074095508, -0.07597592623113729, 0.14891865595942205, -0.09686688687518347, -0.09781608024022455, 0.007700910733128301, 0.42847537997734847, -0.17367547195448318, -0.3604503870546389, 0.03563272745998429, -0.3293331769703747, -0.0215938332450422, 0.22970292635057657, 0.02763174573401753, 0.011642361746132776, 0.06275186207976273, -0.11422202724079006, -0.014285393466288559, -0.2742666310007624, 0.26355404455529646, 0.12381775991441749, 0.17329394844906712, -0.01115249691484161, 0.07397483616544724, -0.011476223035414013, -0.11203748303827354, -0.0528029564687674, -0.09129665499384952, 0.03823224290629192, 0.22973032843224933, 0.11818472378411525, 0.16760086361988843, -0.3984105261645729, -0.2353671954169186, 0.08950349213907213, 0.17218928059676944, -0.01810962371523961, -0.024857235942814807, -0.3150196339392351, 0.03124871449344021, -0.20069674606160295, -0.1958240796493621, 0.07199498873183892, 0.03973189399329771, 0.053970940431191335, -0.1657412021333794, 0.10174748489445598, -0.012760304851732183, 0.036197278370558146, -0.10921049217455651, -0.0013492468329106303, -0.04025943568076858, 0.0719550006232298, 0.07131619506709029, 0.041232188165241435, 0.17630727447756975, -0.08952542987029008, -0.0423611954604979, 0.39077025587610204, -0.04587485308745514, 0.09297209451470873, 0.19322576464937746, -0.22415356162479885, -0.17131552759142551, 0.21150921531048394, 0.10894568387097378, 0.10519134763815849, -0.17592309440131024, -0.004301418866476433, -0.028600115491506116, 0.1884387794332646, 0.07709202281594706, 0.04179159748676173, 0.28677929364305604, 0.1048792083873313, -0.02062297409057798, 0.1465331165960876, -0.2788140089753613, 0.004989048855533328, -0.25102436567636593, -0.08881334182906815, -0.18331357817627864, 0.07639623706969399, -0.09944184025945962, -0.09541763383359146, 0.3686978050420503, 0.10190862583720105, 0.22311828704215855, 0.031116238019677053, 0.3172548503326855, 0.058514960739165275, 0.09547603298095893, 0.09152409314218131, 0.33555305057721174, 0.13336238874082298, 0.10733333015278411, -0.23572940335516054, 0.11138569403158353, 0.0001980263016206755] |
707.2344 | Magnetodipolar interlayer interaction effect on the magnetization
dynamics of a trilayer square element with the Landau domain structure | We present a detailed numerical simulation study of the effects caused by the
magnetodipolar interaction between ferromagnetic (FM) layers of a trilayer
magnetic nanoelement on its magnetization dynamics. As an example we use a
Co/Cu/Ni80Fe20 element with a square lateral shape where the magnetization of
FM layers forms a closed Landau-like domain pattern. First we show that when
the thickness of the non-magnetic (NM) spacer is in the technology relevant
region h ~ 10 nm, magnetodipolar interaction between 90o Neel domain walls in
FM layers qualitatively changes the equilibrium magnetization state of these
layers. In the main of the paper we compare the magnetization dynamics induced
by a sub-nsec field pulse in a single-layer Ni80Fe20 (Py) element and in the
Co/Cu/Py trilayer element. Here we show that (i) due to the spontaneous
symmetry breaking of the Landau state in the FM/NM/FM trilayer its domains and
domain walls oscillate with different frequencies and have different spatial
oscillation patterns; (ii) magnetization oscillations of the trilayer domains
are strongly suppressed due to different oscillation frequencies of domains in
Co and Py; (iii) magnetization dynamics qualitatively depends on the relative
rotation sense of magnetization states in Co and Py layers and on the
magnetocrystalline anisotropy kind of Co crystallites. Finally we discuss the
relation of our findings with experimental observations of magnetization
dynamics in magnetic trilayers, performed using the element-specific
time-resolved X-ray microscopy.
| cond-mat.mes-hall cond-mat.mtrl-sci | we present a detailed numerical simulation study of the effects caused by the magnetodipolar interaction between ferromagnetic fm layers of a trilayer magnetic nanoelement on its magnetization dynamics as an example we use a cocuni80fe20 element with a square lateral shape where the magnetization of fm layers forms a closed landaulike domain pattern first we show that when the thickness of the nonmagnetic nm spacer is in the technology relevant region h 10 nm magnetodipolar interaction between 90o neel domain walls in fm layers qualitatively changes the equilibrium magnetization state of these layers in the main of the paper we compare the magnetization dynamics induced by a subnsec field pulse in a singlelayer ni80fe20 py element and in the cocupy trilayer element here we show that i due to the spontaneous symmetry breaking of the landau state in the fmnmfm trilayer its domains and domain walls oscillate with different frequencies and have different spatial oscillation patterns ii magnetization oscillations of the trilayer domains are strongly suppressed due to different oscillation frequencies of domains in co and py iii magnetization dynamics qualitatively depends on the relative rotation sense of magnetization states in co and py layers and on the magnetocrystalline anisotropy kind of co crystallites finally we discuss the relation of our findings with experimental observations of magnetization dynamics in magnetic trilayers performed using the elementspecific timeresolved xray microscopy | [['we', 'present', 'a', 'detailed', 'numerical', 'simulation', 'study', 'of', 'the', 'effects', 'caused', 'by', 'the', 'magnetodipolar', 'interaction', 'between', 'ferromagnetic', 'fm', 'layers', 'of', 'a', 'trilayer', 'magnetic', 'nanoelement', 'on', 'its', 'magnetization', 'dynamics', 'as', 'an', 'example', 'we', 'use', 'a', 'cocuni80fe20', 'element', 'with', 'a', 'square', 'lateral', 'shape', 'where', 'the', 'magnetization', 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707.2345 | Particularly Efficient Star Formation in M33 | The Star Formation (SF) rate in galaxies is an important parameter at all
redshifts and evolutionary stages of galaxies. In order to understand the
increased SF rates in intermediate redshift galaxies one possibility is to
study star formation in local galaxies with properties frequently found at this
earlier epoch like low metallicity and small size. We present sensitive
observations of the molecular gas in M 33, a small Local Group spiral at a
distance of 840 kpc which shares many of the characteristics of the
intermediate redshift galaxies. The observations were carried out in the
CO(2--1) line with the HERA heterodyne array on the IRAM 30 m telescope. A
11\arcmin$\times$22\arcmin region in the northern part of M 33 was observed,
reaching a detection threshold of a few 10$^{3}$ \msol. The correlation in this
field between the CO emission and tracers of SF (8\mum, 24\mum, \Ha, FUV) is
excellent and CO is detected very far North, showing that molecular gas forms
far out in the disk even in a small spiral with a subsolar metallicity. One
major molecular cloud was discovered in an interarm region with no HI peak and
little if any signs of SF -- without a complete survey this cloud would never
have been found. The radial dependence of the CO emission has a scale length
similar to the dust emission, less extended than the \Ha or FUV. If, however,
the $\ratioo$ ratio varies inversely with metallicity, then the scale length of
the H$_2$ becomes similar to that of the \Ha or FUV. Comparing the SF rate to
the H$_2$ mass shows that M 33, like the intermediate redshift galaxies it
resembles, has a significantly higher SF efficiency than large local universe
spirals.
| astro-ph | the star formation sf rate in galaxies is an important parameter at all redshifts and evolutionary stages of galaxies in order to understand the increased sf rates in intermediate redshift galaxies one possibility is to study star formation in local galaxies with properties frequently found at this earlier epoch like low metallicity and small size we present sensitive observations of the molecular gas in m 33 a small local group spiral at a distance of 840 kpc which shares many of the characteristics of the intermediate redshift galaxies the observations were carried out in the co21 line with the hera heterodyne array on the iram 30 m telescope a 11arcmintimes22arcmin region in the northern part of m 33 was observed reaching a detection threshold of a few 103 msol the correlation in this field between the co emission and tracers of sf 8mum 24mum ha fuv is excellent and co is detected very far north showing that molecular gas forms far out in the disk even in a small spiral with a subsolar metallicity one major molecular cloud was discovered in an interarm region with no hi peak and little if any signs of sf without a complete survey this cloud would never have been found the radial dependence of the co emission has a scale length similar to the dust emission less extended than the ha or fuv if however the ratioo ratio varies inversely with metallicity then the scale length of the h_2 becomes similar to that of the ha or fuv comparing the sf rate to the h_2 mass shows that m 33 like the intermediate redshift galaxies it resembles has a significantly higher sf efficiency than large local universe spirals | [['the', 'star', 'formation', 'sf', 'rate', 'in', 'galaxies', 'is', 'an', 'important', 'parameter', 'at', 'all', 'redshifts', 'and', 'evolutionary', 'stages', 'of', 'galaxies', 'in', 'order', 'to', 'understand', 'the', 'increased', 'sf', 'rates', 'in', 'intermediate', 'redshift', 'galaxies', 'one', 'possibility', 'is', 'to', 'study', 'star', 'formation', 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'galaxies', 'it', 'resembles', 'has', 'a', 'significantly', 'higher', 'sf', 'efficiency', 'than', 'large', 'local', 'universe', 'spirals']] | [-0.08526287878556375, 0.08723991652461452, -0.034250575842679286, 0.10423740533350617, -0.045654002378912685, -0.051850938308795794, 0.031565732919571404, 0.43825422524613267, -0.14602482295961489, -0.31301883546344883, 0.05421352843425389, -0.2769913765410265, -0.02356604515436165, 0.14500600173375866, 0.030587068857775394, -0.06068523628769297, -0.001376492408903461, -0.05999169360965173, -0.05229954823137613, -0.2787148223782011, 0.26873438431243973, 0.10519078908098452, 0.19271020419030377, -0.004503583680864767, 0.0569528830815635, -0.14228057244863584, -0.07683648942335647, -0.015716818929154504, -0.1728017526898929, 0.004269845189249262, 0.25327188591637934, 0.09340829169129992, 0.2583058462676374, -0.3430889249178218, -0.1790877812255524, 0.09284547507842997, 0.20538784711248512, 0.042928612002927864, -0.04627397028747483, 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707.2346 | Hardy's theorem for the q-Bessel Fourier transform | In this paper we give a q-analogue of the Hardy's theorem for the $q$-Bessel
Fourier transform. The celebrated theorem asserts that if a function $f$ and
its Fourier transform $\hat{f}$ satisfying $|f(x)|\leq c.e^{-{1/2} x^2}$ and
$|\hat{f}(x)|\leq c.e^{-{1/2} x^2}$ for all $x\in\mathbb{% R}$ then
$f(x)=\text{const}.e^{-{1/2} x^2}$.
| math.CA | in this paper we give a qanalogue of the hardys theorem for the qbessel fourier transform the celebrated theorem asserts that if a function f and its fourier transform hatf satisfying fxleq ce12 x2 and hatfxleq ce12 x2 for all xinmathbb r then fxtextconste12 x2 | [['in', 'this', 'paper', 'we', 'give', 'a', 'qanalogue', 'of', 'the', 'hardys', 'theorem', 'for', 'the', 'qbessel', 'fourier', 'transform', 'the', 'celebrated', 'theorem', 'asserts', 'that', 'if', 'a', 'function', 'f', 'and', 'its', 'fourier', 'transform', 'hatf', 'satisfying', 'fxleq', 'ce12', 'x2', 'and', 'hatfxleq', 'ce12', 'x2', 'for', 'all', 'xinmathbb', 'r', 'then', 'fxtextconste12', 'x2']] | [-0.15215546310674855, -0.03604714056794963, -0.19883064735147013, 0.08299319799024067, -0.06978654237918375, -0.18695649424022653, 0.04450237503695506, 0.28934484865607285, -0.34153572765247125, -0.08440389500067728, 0.08438820573330925, -0.3433294749659736, -0.19233119618374764, 0.25898262976509767, -0.10763991951215558, 0.04934952845200669, -0.023106552297022284, 0.0779820673349427, -0.09231911216317336, -0.2654358307581122, 0.2960428066733407, -0.11749171288456858, 0.14005000789922367, 0.014576654018061916, 0.13626447413116693, 0.13734854524955153, 0.03161250493239339, -0.17405456740681718, -0.18506834979212372, 0.049713380998227655, 0.19867691147799899, 0.17675674688525317, 0.3145557202217055, -0.31298350338347075, -0.06370455554754632, 0.1806970275484207, 0.1305750367322528, -0.16717508335302517, -0.038112290998602784, -0.2608868744587753, 0.10208621453039529, -0.11480790735563128, -0.2117261975413052, -0.06739019706636588, 0.11294568648062102, 0.10432247758456846, -0.3614215513282433, 0.1536115273015528, 0.2232350351334345, 0.0056896030834717, -0.0441044369377423, -0.14763019018147777, 0.04625456121454879, -0.02676363126942661, 0.028511864133179188, 0.17608452671230201, 0.00013137382750467557, -0.0018959637197506864, -0.02087190902860063, 0.3362550988975095, -0.060439534212757905, -0.22118034109291507, 0.023859030226381812, -0.2506708082992856, -0.2500764082935525, 0.0019702150986143727, 0.04515255596943018, 0.14024129432694213, -0.09121114359146393, 0.2637946887095118, -0.14742121747808484, 0.1354201693178677, 0.20103171788065172, 0.08322554367889719, 0.06269182225621146, -0.05181062387347948, 0.05803775454576059, 0.1739240442061933, -0.05477135686385559, 0.08740595522586529, -0.35354459013153866, -0.23515633916164316, -0.29264820217461573, 0.18968642671115515, -0.1357152795003125, -0.20140403375120425, 0.3587481413127446, 0.023919177695927097, 0.12455469924138814, 0.15074437761270418, 0.23072925733584093, 0.22899187533412038, -0.027759615445464122, 0.058574220120179946, 0.03721622132310053, 0.20251132246311299, 0.08800178093881142, -0.12910841313395194, -0.06891173600196475, 0.24576187485874426] |
707.2347 | Memory efficient scheduling of Strassen-Winograd's matrix multiplication
algorithm | We propose several new schedules for Strassen-Winograd's matrix
multiplication algorithm, they reduce the extra memory allocation requirements
by three different means: by introducing a few pre-additions, by overwriting
the input matrices, or by using a first recursive level of classical
multiplication. In particular, we show two fully in-place schedules: one having
the same number of operations, if the input matrices can be overwritten; the
other one, slightly increasing the constant of the leading term of the
complexity, if the input matrices are read-only. Many of these schedules have
been found by an implementation of an exhaustive search algorithm based on a
pebble game.
| cs.MS | we propose several new schedules for strassenwinograds matrix multiplication algorithm they reduce the extra memory allocation requirements by three different means by introducing a few preadditions by overwriting the input matrices or by using a first recursive level of classical multiplication in particular we show two fully inplace schedules one having the same number of operations if the input matrices can be overwritten the other one slightly increasing the constant of the leading term of the complexity if the input matrices are readonly many of these schedules have been found by an implementation of an exhaustive search algorithm based on a pebble game | [['we', 'propose', 'several', 'new', 'schedules', 'for', 'strassenwinograds', 'matrix', 'multiplication', 'algorithm', 'they', 'reduce', 'the', 'extra', 'memory', 'allocation', 'requirements', 'by', 'three', 'different', 'means', 'by', 'introducing', 'a', 'few', 'preadditions', 'by', 'overwriting', 'the', 'input', 'matrices', 'or', 'by', 'using', 'a', 'first', 'recursive', 'level', 'of', 'classical', 'multiplication', 'in', 'particular', 'we', 'show', 'two', 'fully', 'inplace', 'schedules', 'one', 'having', 'the', 'same', 'number', 'of', 'operations', 'if', 'the', 'input', 'matrices', 'can', 'be', 'overwritten', 'the', 'other', 'one', 'slightly', 'increasing', 'the', 'constant', 'of', 'the', 'leading', 'term', 'of', 'the', 'complexity', 'if', 'the', 'input', 'matrices', 'are', 'readonly', 'many', 'of', 'these', 'schedules', 'have', 'been', 'found', 'by', 'an', 'implementation', 'of', 'an', 'exhaustive', 'search', 'algorithm', 'based', 'on', 'a', 'pebble', 'game']] | [-0.14880142141379057, 0.1489274776151685, -0.038411354489329426, 0.041161654595721346, -0.05268550370958182, -0.18864756464349605, 0.07933371719249552, 0.3854947140495671, -0.32269445002669156, -0.369263235622519, 0.1565712867829128, -0.2170343943315415, -0.1687557648816653, 0.17240418893939788, -0.0695141836502912, 0.09917721893559994, 0.06988215410971257, 0.05800710724537621, -0.05710519635058608, -0.33785740203122694, 0.30947737122821334, 0.03368245798282989, 0.2187059941231319, -0.02417494300614563, 0.09460787393042061, -0.00023030348140561934, -0.054822172335634876, 0.0024991509928782977, -0.024220518564971368, 0.09374615962912172, 0.20415630685810995, 0.20262000508523445, 0.3226488879190223, -0.4902683430821589, -0.14707443488549699, 0.11161947417266593, 0.14249601284742797, 0.10874552958377517, -0.06791108616254302, -0.22212907789035305, 0.11469293913647237, -0.20261405827938625, -0.013668895639147204, -0.0726903171421462, -0.009392707793060506, 0.025219095395970167, -0.276950676123252, -0.051320288703767675, 0.04180853515586788, 0.012446206450314806, -0.006467500503294834, -0.16600895702543825, 0.03143583350160187, 0.1266862716650277, -0.004225377396837172, -0.023551727758921073, 0.0996481834883147, -0.09055542943095511, -0.1864010136675938, 0.35689924406533197, -0.03180395397772588, -0.24399197352865692, 0.1250451597970643, -0.0690855210656208, -0.13645137766247042, 0.1543514650974349, 0.13642221908684415, 0.09940164220821353, -0.1484741421951221, 0.0853186476201114, -0.05423383866575095, 0.19675683018078308, 0.0890296560915021, 0.03255469575386015, 0.13386468481708153, 0.16020577804572733, 0.1083225444008799, 0.15834220364922658, -0.022011150428472032, -0.06907997752936317, -0.249349024067264, -0.13516754676394238, -0.19620735313983098, -0.0019825261344413947, -0.15257781622170627, -0.14501018043017327, 0.4088155885900159, 0.12322549784433853, 0.20863626987701006, 0.0968023475517731, 0.3498045039077354, 0.1267382157597654, 0.1192122858298924, 0.1377765091763127, 0.1503987347541174, 0.05203439331484387, 0.06767188099853805, -0.1870864376351975, 0.10959769975818177, 0.10836524678172894] |
707.2348 | Curve counting via stable pairs in the derived category | For a nonsingular projective 3-fold $X$, we define integer invariants
virtually enumerating pairs $(C,D)$ where $C\subset X$ is an embedded curve and
$D\subset C$ is a divisor. A virtual class is constructed on the associated
moduli space by viewing a pair as an object in the derived category of $X$. The
resulting invariants are conjecturally equivalent, after universal
transformations, to both the Gromov-Witten and DT theories of $X$. For
Calabi-Yau 3-folds, the latter equivalence should be viewed as a wall-crossing
formula in the derived category.
Several calculations of the new invariants are carried out. In the Fano case,
the local contributions of nonsingular embedded curves are found. In the local
toric Calabi-Yau case, a completely new form of the topological vertex is
described.
The virtual enumeration of pairs is closely related to the geometry
underlying the BPS state counts of Gopakumar and Vafa. We prove that our
integrality predictions for Gromov-Witten invariants agree with the BPS
integrality. Conversely, the BPS geometry imposes strong conditions on the
enumeration of pairs.
| math.AG hep-th math.SG | for a nonsingular projective 3fold x we define integer invariants virtually enumerating pairs cd where csubset x is an embedded curve and dsubset c is a divisor a virtual class is constructed on the associated moduli space by viewing a pair as an object in the derived category of x the resulting invariants are conjecturally equivalent after universal transformations to both the gromovwitten and dt theories of x for calabiyau 3folds the latter equivalence should be viewed as a wallcrossing formula in the derived category several calculations of the new invariants are carried out in the fano case the local contributions of nonsingular embedded curves are found in the local toric calabiyau case a completely new form of the topological vertex is described the virtual enumeration of pairs is closely related to the geometry underlying the bps state counts of gopakumar and vafa we prove that our integrality predictions for gromovwitten invariants agree with the bps integrality conversely the bps geometry imposes strong conditions on the enumeration of pairs | [['for', 'a', 'nonsingular', 'projective', '3fold', 'x', 'we', 'define', 'integer', 'invariants', 'virtually', 'enumerating', 'pairs', 'cd', 'where', 'csubset', 'x', 'is', 'an', 'embedded', 'curve', 'and', 'dsubset', 'c', 'is', 'a', 'divisor', 'a', 'virtual', 'class', 'is', 'constructed', 'on', 'the', 'associated', 'moduli', 'space', 'by', 'viewing', 'a', 'pair', 'as', 'an', 'object', 'in', 'the', 'derived', 'category', 'of', 'x', 'the', 'resulting', 'invariants', 'are', 'conjecturally', 'equivalent', 'after', 'universal', 'transformations', 'to', 'both', 'the', 'gromovwitten', 'and', 'dt', 'theories', 'of', 'x', 'for', 'calabiyau', '3folds', 'the', 'latter', 'equivalence', 'should', 'be', 'viewed', 'as', 'a', 'wallcrossing', 'formula', 'in', 'the', 'derived', 'category', 'several', 'calculations', 'of', 'the', 'new', 'invariants', 'are', 'carried', 'out', 'in', 'the', 'fano', 'case', 'the', 'local', 'contributions', 'of', 'nonsingular', 'embedded', 'curves', 'are', 'found', 'in', 'the', 'local', 'toric', 'calabiyau', 'case', 'a', 'completely', 'new', 'form', 'of', 'the', 'topological', 'vertex', 'is', 'described', 'the', 'virtual', 'enumeration', 'of', 'pairs', 'is', 'closely', 'related', 'to', 'the', 'geometry', 'underlying', 'the', 'bps', 'state', 'counts', 'of', 'gopakumar', 'and', 'vafa', 'we', 'prove', 'that', 'our', 'integrality', 'predictions', 'for', 'gromovwitten', 'invariants', 'agree', 'with', 'the', 'bps', 'integrality', 'conversely', 'the', 'bps', 'geometry', 'imposes', 'strong', 'conditions', 'on', 'the', 'enumeration', 'of', 'pairs']] | [-0.2181644703112763, 0.0392826897047044, -0.08437974043195645, 0.13385386377319516, -0.05934726565073316, -0.17441283703710025, -0.006132078561628756, 0.30563014911035813, -0.3006198535171839, -0.24549842142285064, 0.0673695122506249, -0.24754701069275126, -0.14638865886520616, 0.20476475126418622, -0.152479649047483, 0.003793220756266861, 0.02476527891672883, 0.044740158122187186, -0.13048163820581632, -0.3263948719780451, 0.41456977150695035, -0.06292867944327861, 0.24504632662882556, 0.0589373326707444, 0.0758065072373217, 0.003966197174472304, 0.014078289347551983, 0.022001045551970768, -0.14050022122532319, 0.14463520209861577, 0.30509032381246604, 0.08436336543703088, 0.07175327376352303, -0.37845331907531343, -0.1307778470714152, 0.141892809933327, 0.10298825671742036, 0.05744205781578268, -0.002762723895969123, -0.2660689110600406, 0.11384505377297108, -0.11400401881570824, -0.17654600694566172, -0.0706904407276513, 0.06376754288346721, -0.0005080740920890718, -0.21324715596147037, -0.03322624067290956, 0.041510447960335914, 0.06158782217541218, -0.03101907632335712, -0.09591510927458928, -0.14692361859918832, 0.061029721098296213, -0.001183025607806162, 0.094976192053694, 0.09982749116028378, -0.15786010494797365, -0.14546965336986437, 0.3508200229823413, -0.025135964251635872, -0.23115331797788924, 0.09305830689053432, -0.09729078856776276, -0.1636589394865789, 0.1724716776295857, 0.05329852253501717, 0.21967707346513807, -0.05511114560067654, 0.1823227614727572, -0.11381605300313886, 0.09527843847551201, 0.09283159460773217, 0.008971257975666657, 0.21920653308821655, 0.06732866151903111, 0.03016289093768632, 0.1522639423785125, -0.05685477541827117, -0.09191643360164567, -0.40919780010390566, -0.1859275789148885, -0.11802898875310928, 0.18204424661011076, -0.10027476633217298, -0.16936092169889244, 0.3830089760247133, 0.005856154512713206, 0.2286134774868305, 0.11646822043942541, 0.19086646150174888, 0.07218596123822982, 0.04825405348657173, 0.04637918299885147, 0.15354879459189857, 0.18618068630950382, -0.00989649070085153, -0.17009915601491057, -0.0015208814589350798, 0.2338811797193202] |
707.2349 | Surface polaritons on left-handed spheres | We consider the interaction of an electromagnetic field with a left-handed
sphere, i.e., with a sphere fabricated from a left-handed material, in the
framework of complex angular momentum techniques. We emphasize more
particularly, from a semiclassical point of view, the resonant aspects of the
problem linked to the existence of surface polaritons. We prove that the
long-lived resonant modes can be classified into distinct families, each family
being generated by one surface polariton propagating close to the sphere
surface and we physically describe all the surface polaritons by providing, for
each one, its dispersion relation and its damping. This can be achieved by
noting that each surface polariton corresponds to a particular Regge pole of
the electric part (TM) or the magnetic part (TE) of the $S$ matrix of the
sphere. Moreover, for both polarizations, we find that there exists a
particular surface polariton which corresponds, in the large radius limit, to
that supported by the plane interface. There also exists, for both
polarizations, an infinite family of surface polaritons of whispering gallery
type having no analogs in the plane interface case and specific to left-handed
materials. They present a "left-handed behavior" (phase and group velocities
are opposite) as well as a very weak damping. They could be very useful in the
context of plasmonics or cavity quantum electrodynamics.
| cond-mat.mtrl-sci physics.optics | we consider the interaction of an electromagnetic field with a lefthanded sphere ie with a sphere fabricated from a lefthanded material in the framework of complex angular momentum techniques we emphasize more particularly from a semiclassical point of view the resonant aspects of the problem linked to the existence of surface polaritons we prove that the longlived resonant modes can be classified into distinct families each family being generated by one surface polariton propagating close to the sphere surface and we physically describe all the surface polaritons by providing for each one its dispersion relation and its damping this can be achieved by noting that each surface polariton corresponds to a particular regge pole of the electric part tm or the magnetic part te of the s matrix of the sphere moreover for both polarizations we find that there exists a particular surface polariton which corresponds in the large radius limit to that supported by the plane interface there also exists for both polarizations an infinite family of surface polaritons of whispering gallery type having no analogs in the plane interface case and specific to lefthanded materials they present a lefthanded behavior phase and group velocities are opposite as well as a very weak damping they could be very useful in the context of plasmonics or cavity quantum electrodynamics | [['we', 'consider', 'the', 'interaction', 'of', 'an', 'electromagnetic', 'field', 'with', 'a', 'lefthanded', 'sphere', 'ie', 'with', 'a', 'sphere', 'fabricated', 'from', 'a', 'lefthanded', 'material', 'in', 'the', 'framework', 'of', 'complex', 'angular', 'momentum', 'techniques', 'we', 'emphasize', 'more', 'particularly', 'from', 'a', 'semiclassical', 'point', 'of', 'view', 'the', 'resonant', 'aspects', 'of', 'the', 'problem', 'linked', 'to', 'the', 'existence', 'of', 'surface', 'polaritons', 'we', 'prove', 'that', 'the', 'longlived', 'resonant', 'modes', 'can', 'be', 'classified', 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707.235 | A remarkable DG-module model for configuration spaces | Let M be a simply-connected closed manifold and consider the (ordered)
configuration space of $k$ points in M, F(M,k). In this paper we construct a
commutative differential graded algebra which is a potential candidate for a
model of the rational homotopy type of F(M,k). We prove that our model it is at
least a Sigma_k-equivariant differential graded model.
We also study Lefschetz duality at the level of cochains and describe
equivariant models of the complement of a union of polyhedra in a closed
manifold.
| math.AT | let m be a simplyconnected closed manifold and consider the ordered configuration space of k points in m fmk in this paper we construct a commutative differential graded algebra which is a potential candidate for a model of the rational homotopy type of fmk we prove that our model it is at least a sigma_kequivariant differential graded model we also study lefschetz duality at the level of cochains and describe equivariant models of the complement of a union of polyhedra in a closed manifold | [['let', 'm', 'be', 'a', 'simplyconnected', 'closed', 'manifold', 'and', 'consider', 'the', 'ordered', 'configuration', 'space', 'of', 'k', 'points', 'in', 'm', 'fmk', 'in', 'this', 'paper', 'we', 'construct', 'a', 'commutative', 'differential', 'graded', 'algebra', 'which', 'is', 'a', 'potential', 'candidate', 'for', 'a', 'model', 'of', 'the', 'rational', 'homotopy', 'type', 'of', 'fmk', 'we', 'prove', 'that', 'our', 'model', 'it', 'is', 'at', 'least', 'a', 'sigma_kequivariant', 'differential', 'graded', 'model', 'we', 'also', 'study', 'lefschetz', 'duality', 'at', 'the', 'level', 'of', 'cochains', 'and', 'describe', 'equivariant', 'models', 'of', 'the', 'complement', 'of', 'a', 'union', 'of', 'polyhedra', 'in', 'a', 'closed', 'manifold']] | [-0.2017991387969758, 0.024700497883001726, -0.10098073960854168, 0.06094211470812604, -0.0777599721002471, -0.16897506453657904, 0.020275933865783174, 0.31973395608814364, -0.3399020472979061, -0.21580645913280636, 0.08865383249309183, -0.2432827010010201, -0.15884970014084535, 0.14296652172153523, -0.1289408534473504, -0.08602157630116107, 0.06711203431295433, 0.11275853921311448, -0.08342694642347653, -0.24247623925309078, 0.4225809500182429, -0.05061306905405349, 0.17222833437817936, 0.01598608935341598, 0.16950247074892544, -0.02356116764853338, 0.027793280544679565, 0.06453223145217635, -0.1676500806538844, 0.14378921505546263, 0.31721049116515726, 0.056854972209085725, 0.19851457695645022, -0.3650005260504872, -0.14628986794086374, 0.19029761297650724, 0.13928926077878934, -0.007947646705602038, -0.0066083693366318225, -0.242145144201097, 0.12505624875572163, -0.16801624184092842, -0.18146764231194934, -0.06528409610850265, 0.06330411752730787, -0.009627672521038407, -0.27037476687636003, -0.05672005868372395, 0.09281772361641907, 0.13019792138632522, -0.09619525048028991, -0.05008361444258726, -0.08232900571829853, 0.0317304578318025, -0.08224600769512086, 0.0780052121504945, 0.06386488352913454, -0.06069049965982965, -0.14711617846154126, 0.36393160709595107, -0.08689455422067857, -0.246626282806497, 0.09654647926519434, -0.1888487932429346, -0.1889387840988586, 0.1360042147809662, 0.11800985157220478, 0.20479137309636158, -0.05846466301345682, 0.2394641577644857, -0.15507923896951847, 0.07377073034947088, 0.027385854047263063, -0.050772804424660395, 0.18306413080812578, 0.1830640303711575, 0.09694726012243204, 0.1446862373913425, -0.006686521211571722, -0.03403675520276449, -0.37072317921612635, -0.2396751817495349, -0.09542244179903653, 0.15171800473079378, -0.10870585429548084, -0.19346640676439528, 0.4017648658019502, 0.06738858691315694, 0.21100126610821987, 0.12356482079415301, 0.25118444955357944, 0.05421993496171367, 0.03646344339183296, 0.045688128278377545, 0.10932401049859732, 0.19946633176092643, -0.019011855635971547, -0.11124825489942927, -0.057447105921041894, 0.19841668387897402] |
707.2351 | Convection and AGN Feedback in Clusters of Galaxies | A number of studies have shown that the convective stability criterion for
the intracluster medium (ICM) is very different from the Schwarzchild criterion
due to the effects of anisotropic thermal conduction and cosmic rays. Building
on these studies, we develop a model of the ICM in which a central active
galactic nucleus (AGN) accretes hot intracluster plasma at the Bondi rate and
produces cosmic rays that cause the ICM to become convectively unstable. The
resulting convection heats the intracluster plasma and regulates its
temperature and density profiles. By adjusting a single parameter in the model
(the size of the cosmic-ray acceleration region), we are able to achieve a good
match to the observed density and temperature profiles in a sample of eight
clusters. Our results suggest that convection is an important process in
cluster cores. An interesting feature of our solutions is that the cooling rate
is more sharply peaked about the cluster center than is the convective heating
rate. As a result, in several of the clusters in our sample, a compact cooling
flow arises in the central region with a size R that is typically a few kpc.
The cooling flow matches onto a Bondi flow at smaller radii. The mass accretion
rate in the Bondi flow is equal to, and controlled by, the rate at which mass
flows in through the cooling flow. Our solutions suggest that the AGN regulates
the mass accretion rate in these clusters by controlling R: if the AGN power
rises above the equilibrium level, R decreases, the mass accretion rate drops,
and the AGN power drops back down to the equilibrium level.
| astro-ph | a number of studies have shown that the convective stability criterion for the intracluster medium icm is very different from the schwarzchild criterion due to the effects of anisotropic thermal conduction and cosmic rays building on these studies we develop a model of the icm in which a central active galactic nucleus agn accretes hot intracluster plasma at the bondi rate and produces cosmic rays that cause the icm to become convectively unstable the resulting convection heats the intracluster plasma and regulates its temperature and density profiles by adjusting a single parameter in the model the size of the cosmicray acceleration region we are able to achieve a good match to the observed density and temperature profiles in a sample of eight clusters our results suggest that convection is an important process in cluster cores an interesting feature of our solutions is that the cooling rate is more sharply peaked about the cluster center than is the convective heating rate as a result in several of the clusters in our sample a compact cooling flow arises in the central region with a size r that is typically a few kpc the cooling flow matches onto a bondi flow at smaller radii the mass accretion rate in the bondi flow is equal to and controlled by the rate at which mass flows in through the cooling flow our solutions suggest that the agn regulates the mass accretion rate in these clusters by controlling r if the agn power rises above the equilibrium level r decreases the mass accretion rate drops and the agn power drops back down to the equilibrium level | [['a', 'number', 'of', 'studies', 'have', 'shown', 'that', 'the', 'convective', 'stability', 'criterion', 'for', 'the', 'intracluster', 'medium', 'icm', 'is', 'very', 'different', 'from', 'the', 'schwarzchild', 'criterion', 'due', 'to', 'the', 'effects', 'of', 'anisotropic', 'thermal', 'conduction', 'and', 'cosmic', 'rays', 'building', 'on', 'these', 'studies', 'we', 'develop', 'a', 'model', 'of', 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707.2352 | From ballistic to diffusive behavior in periodic potentials | The long-time/large-scale, small-friction asymptotic for the one dimensional
Langevin equation with a periodic potential is studied in this paper. It is
shown that the Freidlin-Wentzell and central limit theorem (homogenization)
limits commute. We prove that, in the combined small friction,
long-time/large-scale limit the particle position converges weakly to a
Brownian motion with a singular diffusion coefficient which we compute
explicitly. We show that the same result is valid for a whole one parameter
family of space/time rescalings. The proofs of our main results are based on
some novel estimates on the resolvent of a hypoelliptic operator.
| math.PR math.FA | the longtimelargescale smallfriction asymptotic for the one dimensional langevin equation with a periodic potential is studied in this paper it is shown that the freidlinwentzell and central limit theorem homogenization limits commute we prove that in the combined small friction longtimelargescale limit the particle position converges weakly to a brownian motion with a singular diffusion coefficient which we compute explicitly we show that the same result is valid for a whole one parameter family of spacetime rescalings the proofs of our main results are based on some novel estimates on the resolvent of a hypoelliptic operator | [['the', 'longtimelargescale', 'smallfriction', 'asymptotic', 'for', 'the', 'one', 'dimensional', 'langevin', 'equation', 'with', 'a', 'periodic', 'potential', 'is', 'studied', 'in', 'this', 'paper', 'it', 'is', 'shown', 'that', 'the', 'freidlinwentzell', 'and', 'central', 'limit', 'theorem', 'homogenization', 'limits', 'commute', 'we', 'prove', 'that', 'in', 'the', 'combined', 'small', 'friction', 'longtimelargescale', 'limit', 'the', 'particle', 'position', 'converges', 'weakly', 'to', 'a', 'brownian', 'motion', 'with', 'a', 'singular', 'diffusion', 'coefficient', 'which', 'we', 'compute', 'explicitly', 'we', 'show', 'that', 'the', 'same', 'result', 'is', 'valid', 'for', 'a', 'whole', 'one', 'parameter', 'family', 'of', 'spacetime', 'rescalings', 'the', 'proofs', 'of', 'our', 'main', 'results', 'are', 'based', 'on', 'some', 'novel', 'estimates', 'on', 'the', 'resolvent', 'of', 'a', 'hypoelliptic', 'operator']] | [-0.11638819906041928, 0.0957233497837899, -0.12895278068089117, 0.06052584117979452, -0.07207126933480462, -0.11046676684711729, 0.008100126067587044, 0.3025770959674671, -0.26615674765680425, -0.17153198013622914, 0.11780206458292582, -0.2866174491743247, -0.16492429063204797, 0.2087296286800636, -0.10142017123840188, 0.05679214192974952, 0.10165407860611556, 0.08061703772193962, -0.032744226759419806, -0.20524590816323757, 0.337707287001033, -0.015410934399027297, 0.23964571627357634, 0.05551376073591171, 0.16925294360306153, 0.007247568865466903, -0.004659091993685692, 0.022674037729420008, -0.17884244141786956, 0.11541359591102528, 0.19274581569717616, -0.017998885135516843, 0.2691165663462172, -0.366088717314665, -0.20060936436657945, 0.11007359225342991, 0.15069789556355806, 0.11360407376696946, -0.033023007861238414, -0.27163631563144985, 0.07980787739037506, -0.1335578032779277, -0.20951541657910072, -0.0722444742036763, 0.026383196925043418, 0.06271003012455278, -0.2943546835293052, 0.11001665022484558, 0.14273012850073077, -0.013737295614054767, -0.08852676343252902, -0.07670580360898248, 0.0030646850530218375, 0.08539953689661718, 0.07069184436082279, -0.012942371729721305, 0.1291840596297275, -0.07524141318626985, -0.07130162428466162, 0.34837636336000755, -0.12375304768342645, -0.2936879387826368, 0.17361178706019556, -0.19032549810024998, -0.17586634836349918, 0.09055932742162978, 0.1318539456634592, 0.17727153396774684, -0.17893088191387155, 0.16030851687412329, -0.07715354845809039, 0.13793972015420916, 0.07393754246614632, -0.0030617153231975855, 0.09938402999673158, 0.156379808877064, 0.14343730508980732, 0.11359531197556726, -0.05631063967662793, -0.14267386946206292, -0.36993548554438416, -0.16121674387124918, -0.22682355166042364, 0.10419043426411928, -0.15644831127491504, -0.20193720885310873, 0.3510969983794356, 0.18254029793572182, 0.20258288653267006, 0.12384531847877248, 0.24413819406782428, 0.2094119034810192, 0.02294979283025348, 0.09701961336997889, 0.22479965625817747, 0.15711617634771893, 0.0898033519677933, -0.18820217075026643, -0.0009266521671526535, 0.17145190998831744] |
707.2353 | Another proof for the equivalence between invariance of closed sets with
respect to stochastic and deterministic systems | We provide a short and elementary proof for the recently proved result by G.
da Prato and H. Frankowska that -- under minimal assumptions -- a closed set is
invariant with respect to a stochastic control system if and only if it is
invariant with respect to the (associated) deterministic control system.
| math.OC math.PR | we provide a short and elementary proof for the recently proved result by g da prato and h frankowska that under minimal assumptions a closed set is invariant with respect to a stochastic control system if and only if it is invariant with respect to the associated deterministic control system | [['we', 'provide', 'a', 'short', 'and', 'elementary', 'proof', 'for', 'the', 'recently', 'proved', 'result', 'by', 'g', 'da', 'prato', 'and', 'h', 'frankowska', 'that', 'under', 'minimal', 'assumptions', 'a', 'closed', 'set', 'is', 'invariant', 'with', 'respect', 'to', 'a', 'stochastic', 'control', 'system', 'if', 'and', 'only', 'if', 'it', 'is', 'invariant', 'with', 'respect', 'to', 'the', 'associated', 'deterministic', 'control', 'system']] | [-0.12697243716567755, 0.11034492242150008, -0.1058211164548993, 0.04966391029302031, -0.07913863081485033, -0.2030548457521945, 0.03238839635625482, 0.35178762418217957, -0.2835378923267126, -0.26997562947915865, 0.1384408347774297, -0.23165832532569766, -0.14358318063546904, 0.22516401387751103, -0.13498245943337678, 0.06116848416626453, 0.09225542966276407, 0.09485527666809503, -0.024441392398439347, -0.22566911663860081, 0.3251480663754046, -0.014306037803180516, 0.21898828011006116, 0.02198017729795538, 0.18077012982219456, 0.024129903954453767, -0.012784002590924501, 0.02749057678040117, -0.1506672205643554, 0.0823957902006805, 0.1843832939490676, 0.09873556017875672, 0.24953270761296154, -0.3199845313280821, -0.14326438607648015, 0.128172509605065, 0.06047664791287389, 0.02845213536173105, -0.03910972746089101, -0.2680706402286887, 0.20912827866151928, -0.1528237909451127, -0.14287816713331267, -0.08299265095964074, 0.1090730718523264, 0.03168867776636034, -0.3348004313930869, -0.016676204898394643, 0.1543542588315904, 0.06518177907913923, -0.03810180272907018, -0.037217273893766105, -0.032536560385487974, 0.021684626089408993, 0.012243995750322938, 0.10519408324733376, 0.06559741121716797, -0.03493548292666673, -0.08883183967322111, 0.37040921080857514, -0.12990247323177756, -0.2691261281678453, 0.2061083037406206, -0.09050377408973873, -0.13730263095349074, 0.13245107620954513, 0.08939835406839848, 0.11674101747572423, -0.18818624595180153, 0.17333054128685035, -0.10398419922217726, 0.13936869466677307, 0.05754361871629953, 0.025616593742743134, 0.09302188914269209, 0.12030066464561968, 0.1906713552772999, 0.10642543414607644, 0.044351430999813604, -0.06839487065561116, -0.33702720019966365, -0.14272995572537184, -0.1411664941906929, 0.11464389953762293, 2.7207286038901656e-05, -0.15632594728842378, 0.3387604013830423, 0.07583045991370455, 0.1707550238003023, 0.11283011408522725, 0.24644048504531382, 0.14277299866524118, 0.016017652098089457, 0.1313062300160527, 0.14344721310772002, 0.1940858968393877, 0.01738607220351696, -0.18669342991895974, 0.0807751976698637, 0.09845912091434002] |
707.2354 | Critical velocity for superfluid flow across the BEC-BCS crossover | Critical velocities have been observed in an ultracold superfluid Fermi gas
throughout the BEC-BCS crossover. A pronounced peak of the critical velocity at
unitarity demonstrates that superfluidity is most robust for resonant atomic
interactions. Critical velocities were determined from the abrupt onset of
dissipation when the velocity of a moving one dimensional optical lattice was
varied. The dependence of the critical velocity on lattice depth and on the
inhomogeneous density profile was studied.
| cond-mat.other | critical velocities have been observed in an ultracold superfluid fermi gas throughout the becbcs crossover a pronounced peak of the critical velocity at unitarity demonstrates that superfluidity is most robust for resonant atomic interactions critical velocities were determined from the abrupt onset of dissipation when the velocity of a moving one dimensional optical lattice was varied the dependence of the critical velocity on lattice depth and on the inhomogeneous density profile was studied | [['critical', 'velocities', 'have', 'been', 'observed', 'in', 'an', 'ultracold', 'superfluid', 'fermi', 'gas', 'throughout', 'the', 'becbcs', 'crossover', 'a', 'pronounced', 'peak', 'of', 'the', 'critical', 'velocity', 'at', 'unitarity', 'demonstrates', 'that', 'superfluidity', 'is', 'most', 'robust', 'for', 'resonant', 'atomic', 'interactions', 'critical', 'velocities', 'were', 'determined', 'from', 'the', 'abrupt', 'onset', 'of', 'dissipation', 'when', 'the', 'velocity', 'of', 'a', 'moving', 'one', 'dimensional', 'optical', 'lattice', 'was', 'varied', 'the', 'dependence', 'of', 'the', 'critical', 'velocity', 'on', 'lattice', 'depth', 'and', 'on', 'the', 'inhomogeneous', 'density', 'profile', 'was', 'studied']] | [-0.16943121388353638, 0.26692304328464334, -0.09191829847468523, 0.02346039738997256, -0.00936836512019373, -0.1370655854092273, 0.03766881396526739, 0.3714437035920277, -0.21456740891771417, -0.23393383441008117, 0.013879820265909275, -0.3047661458792752, -0.04954116972648118, 0.19123174963289336, 0.07589441565924311, 0.10894190658630216, -0.028546262711082418, 0.055571034633592795, -0.10224998950454317, -0.22009967086351898, 0.3359922133386135, 0.033525958491412745, 0.3493393964759291, 0.1186681723657498, 0.04955784040694571, -0.033079826473960114, 0.046998004945735, 0.040658060371977826, -0.19682657525108008, 0.0112906038021184, 0.18961218019870862, -0.08797698320297856, 0.22058285532952987, -0.36900733320731416, -0.266604754386457, 0.028771563598962678, 0.20029305402597744, 0.15331274521065086, -0.02672520233836497, -0.30457510847649344, -0.06124693947550777, -0.12361044080111466, -0.22956479289600856, -0.025235442393650748, 0.10443968674780367, 0.03793791194816362, -0.1950438499501715, 0.1875950368886737, -0.0072346447954235015, 0.19364161284206666, -0.10966501853505328, -0.07628315518776031, -0.05866584278107302, 0.05311739248780164, 0.0010649568484203049, 0.06204841346224795, 0.1934421112225072, -0.17216258803639667, 0.022695519508513277, 0.40932591265380025, -0.08202071223178342, -0.010602964848608468, 0.22288185779056321, -0.20807645203265018, -0.07476032027745083, 0.22605252814517446, 0.15223214379830718, 0.007362353181696101, -0.08447225409506481, 0.018874929355910328, -0.04666168106981387, 0.17071413514618952, 0.09784656331861673, -0.027249214303207724, 0.27663348681510314, 0.18300358846317977, 0.04147093725543827, 0.10441022009065706, -0.21150233486207992, -0.10412781965625409, -0.23323432618611786, -0.10483884548589792, -0.20390944459080085, 0.0006794003635798006, -0.07823924075996293, -0.14077889593318105, 0.360143713538267, 0.15835474117273107, 0.24886306835823271, -0.06099725800744985, 0.275249078104349, 0.18561317886493794, 0.07588214491659852, 0.07958724871532966, 0.3076619285043992, 0.16249012846614502, 0.12378667291151742, -0.3192068707494524, 0.08055548971416811, 0.06090788493787691] |
707.2355 | Determination of the \eta\to\pi^+\pi^-\pi^0 Dalitz Plot slopes and
asymmetries with the KLOE detector | We have studied, with the KLOE detector at the DA$\Phi$NE $\Phi$-Factory, the
dynamics of the decay $\eta\to\pi^+\pi^-\pi^0$ using data from the radiative
$\phi\to\eta\gamma$ decay for an integrated luminosity $L = 450
\textrm{pb^{-1}}$. From a fit to the Dalitz plot density distribution we obtain
a precise measurement of the slope parameters. This should allow to improve the
knowledge of the decay amplitude which is sensitive to the u-d quark mass
difference. We also present new best results on the C-violating asymmetries in
the $\eta\to\pi^+\pi^-\pi^0$ decay.
| hep-ex | we have studied with the kloe detector at the daphine phifactory the dynamics of the decay etatopipipi0 using data from the radiative phitoetagamma decay for an integrated luminosity l 450 textrmpb1 from a fit to the dalitz plot density distribution we obtain a precise measurement of the slope parameters this should allow to improve the knowledge of the decay amplitude which is sensitive to the ud quark mass difference we also present new best results on the cviolating asymmetries in the etatopipipi0 decay | [['we', 'have', 'studied', 'with', 'the', 'kloe', 'detector', 'at', 'the', 'daphine', 'phifactory', 'the', 'dynamics', 'of', 'the', 'decay', 'etatopipipi0', 'using', 'data', 'from', 'the', 'radiative', 'phitoetagamma', 'decay', 'for', 'an', 'integrated', 'luminosity', 'l', '450', 'textrmpb1', 'from', 'a', 'fit', 'to', 'the', 'dalitz', 'plot', 'density', 'distribution', 'we', 'obtain', 'a', 'precise', 'measurement', 'of', 'the', 'slope', 'parameters', 'this', 'should', 'allow', 'to', 'improve', 'the', 'knowledge', 'of', 'the', 'decay', 'amplitude', 'which', 'is', 'sensitive', 'to', 'the', 'ud', 'quark', 'mass', 'difference', 'we', 'also', 'present', 'new', 'best', 'results', 'on', 'the', 'cviolating', 'asymmetries', 'in', 'the', 'etatopipipi0', 'decay']] | [-0.007658682647161186, 0.13331861113711058, -0.15466452539549208, 0.1040454333415255, -0.07217986779287458, -0.08174509339733049, 0.0625381792720873, 0.31719911280088126, -0.1914915095316246, -0.3101834504552244, 0.03594423266913509, -0.3467559196287766, 0.040449935593642294, 0.18663617364654783, 0.06024101874791086, 0.13133821088122205, 0.08288391206879168, 0.016536075636395253, -0.09148841525893658, -0.15706439208006487, 0.29392682745237836, 0.08942677926970646, 0.24831130200764165, 0.08476531313499436, 0.027536259301996324, -0.012193615699652582, -0.08156692062621004, -0.1140043749648612, -0.21393804614781403, 0.05680588156683371, 0.17571105214774435, 0.1256716787618643, 0.11633164233062417, -0.344701872888254, -0.08873068313696422, 0.12969130990095437, 0.16084606898366474, 0.06658818591822638, -0.053442330470716115, -0.3250823514070362, 0.0643597873597173, -0.15184636223129927, -0.12034227097174152, -0.029419655713718386, 0.028697834466584027, -0.0263007297180593, -0.34552995809353887, 0.06625261978733761, -0.06833980241790413, 0.028476818185299634, -0.020429759315447882, -0.1897028142819181, 0.019972314420738258, 0.10531816812872422, 0.06276596131210681, 0.06730033008934697, 0.15676022644620388, -0.09341628225229215, -0.07761011250549928, 0.3062815085519105, -0.12469638003385626, -0.15194570832827595, 0.11050341506488622, -0.21391750131733717, -0.1161480929935351, 0.17110283592483028, 0.22706790774827823, 0.049107004574034364, -0.20746010625734926, 0.062022248149150985, -0.02230288870196091, 0.2215720531763509, 0.05467958012013696, 0.06015866195666604, 0.1787506990833208, 0.2151678361624363, -0.006075226489338092, 0.09751035825174767, -0.16495437431440224, -0.03855494106537662, -0.37263495223596693, -0.12071513943374157, -0.10362232798943297, 0.07093766920734197, -0.05111969002173282, -0.08044780677300878, 0.43250412214547396, 0.10508504157187418, 0.27709804875776173, 0.06299558439204703, 0.3115771211916581, 0.1284722457494354, 0.10497907910612411, 0.08085532679106108, 0.32889290420571343, 0.15732223516097293, 0.15227653477923014, -0.3055958130164072, 0.05945639832061715, -0.020114456958253868] |
707.2356 | Identified hadron spectra in Pb-Pb at sqrt(s) = 5.5 TeV:
hydrodynamics+pQCD predictions | The single inclusive charged hadron pT spectra in Pb-Pb collisions at the
LHC, predicted by a combined hydrodynamics+perturbative QCD (pQCD) approach are
presented.
| nucl-th hep-ph nucl-ex | the single inclusive charged hadron pt spectra in pbpb collisions at the lhc predicted by a combined hydrodynamicsperturbative qcd pqcd approach are presented | [['the', 'single', 'inclusive', 'charged', 'hadron', 'pt', 'spectra', 'in', 'pbpb', 'collisions', 'at', 'the', 'lhc', 'predicted', 'by', 'a', 'combined', 'hydrodynamicsperturbative', 'qcd', 'pqcd', 'approach', 'are', 'presented']] | [0.026101263758557088, 0.27409695357676933, -0.23652411491440778, 0.15781656083312223, 0.09897926458242265, -0.16362224059941416, -0.13302972235462882, 0.327595187774436, -0.12247292341833765, -0.1934852052310651, -0.17261342372512445, -0.4544694979082454, 0.20744517801160162, 0.08221532116559419, 0.14780360760844566, 0.25339563559232786, 0.20534148706461897, -0.0714856010269035, -0.025137782435525547, -0.21147139776836743, 0.23452438380230556, 0.1263945421457968, 0.2049821445887739, 0.2136870716613802, -0.01646955565295436, 0.1331438226201995, -0.06179354566318745, 0.04272414347029884, -0.09945187459445813, 0.06411526088777464, 0.36152606237341056, -0.08762975985353644, 0.05318074250085787, -0.32621083357794717, -0.04209413719945587, 0.06738995891911062, 0.16043076221831143, 0.1140703268518502, -0.13916383878412572, -0.28133287086066877, 0.21000075647184116, -0.3321130160580982, -0.10009755772030489, -0.08148994829653847, -0.10090820470147512, -0.07744145215573636, -0.3724833938547156, 0.12559011233547193, -0.14873773748563093, 0.0791053067554127, 0.07868452592414212, -0.2594885594761846, -0.15831541703929278, -0.15082019645805386, 0.09986778996376829, 0.10386246421628377, 0.27102910456861457, -0.17531947063980624, -0.3419997190887278, 0.4409050250595266, 0.06428428705443036, -0.06017273529009386, 0.14816679394888607, -0.29557090830481186, -0.16277282141064378, 0.215639148584821, 0.3076815675436096, 0.12551641574298794, -0.268772385337136, 0.11034416398880156, 0.004550225313075564, 0.16687414253299887, 0.10867499117739499, 0.06104672463102774, 0.20093670318072493, 0.26167258383198216, -0.18017334231328938, 0.025674893986433744, -0.06983250303363259, -0.08198960023847493, -0.5147378580136732, 0.0018495975210416045, -0.12014233138920231, 0.02187592581189661, -0.09559090223840692, 0.04251483150503852, 0.33074321936477313, 0.04938936225053939, 0.3830678435889157, -0.015770290046930313, 0.37748272278854117, 0.08760819933377206, 0.03157356665046378, 0.05023667885159904, 0.3800100033933466, 0.14637705913363872, 0.3758053798651831, -0.2873489534990354, -0.014549292712300403, 0.16817204315554013] |
707.2357 | Direct photon spectra in Pb-Pb at sqrt(s) = 5.5 TeV: hydrodynamics+pQCD
predictions | The transverse momentum spectra for direct photons produced in Pb-Pb
collisions at the LHC, including thermal (hydrodynamics) and prompt (pQCD)
emissions are presented.
| nucl-th hep-ph nucl-ex | the transverse momentum spectra for direct photons produced in pbpb collisions at the lhc including thermal hydrodynamics and prompt pqcd emissions are presented | [['the', 'transverse', 'momentum', 'spectra', 'for', 'direct', 'photons', 'produced', 'in', 'pbpb', 'collisions', 'at', 'the', 'lhc', 'including', 'thermal', 'hydrodynamics', 'and', 'prompt', 'pqcd', 'emissions', 'are', 'presented']] | [-0.03393072568123107, 0.3204680669688336, -0.1797363181679469, 0.1592159146523994, 0.03815753442113814, -0.046341554403467024, -0.21985925410104834, 0.3964272209483644, -0.1741881741453772, -0.24266110133865607, -0.13890979688553867, -0.4604292304619499, 0.30275734469456517, 0.21406539302805197, 0.15289185471508815, 0.13032281653874594, 0.22373619266664205, -0.15125517069321612, 0.03867514686577994, -0.13342765524841682, 0.24497089405422626, 0.18099028860097346, 0.2170862387055936, 0.240137438411298, 0.053776046423160515, 0.09955525629060424, -0.10272342628677902, -0.034587186680215855, -0.08383790626312079, -0.048540574325117, 0.3320298151963431, -0.02579942969200404, 0.0216296854145501, -0.3933322405361611, -0.15578121785074472, 0.1436563212343532, 0.14091325055240936, 0.06469601919145687, -0.09872292836561151, -0.23877342968531276, 0.08039853090177411, -0.2860384507347708, -0.09264313988387585, -0.04007916180821865, -0.02422320373032404, -0.015493518500791295, -0.32586212213272636, 0.2174269947344842, -0.07238273511630604, 0.07717247250611367, 0.05494430290697062, -0.1760704403176256, -0.17805786189906622, -0.08819405062367087, 0.11442674182193435, 0.030592796352246533, 0.2294312287931857, -0.19783602477274026, -0.2667947849663703, 0.42865568302247836, 0.05667373663543359, -0.015139511543447557, 0.2321085879660171, -0.25894806137227494, -0.12173573767928325, 0.26232970424968266, 0.30884127067806927, 0.11448200470160531, -0.1866455596021336, -0.05243001040324326, 0.11446064710617065, 0.10441351664738487, 0.08765415901966069, 0.1750821595120689, 0.2186388937027558, 0.1440300100037585, -0.18706309001730836, 0.0936365487134975, -0.1424565255317999, -0.08038668521254769, -0.48656668392536434, -0.07753096877232842, -0.1399785964142369, 0.01759055778687901, -0.06875606200407239, 0.026111165426023628, 0.36077143421963503, 0.07246928757218563, 0.26654488933475123, 0.002191005963022294, 0.4225879201422567, 0.10950265290296596, -0.003042895255772316, 0.15117293932353673, 0.425926413225091, 0.16468768489911503, 0.3334149662810175, -0.2752913356475208, -0.042310310571654394, 0.08262119713522818] |
707.2358 | Exchange induced charge inhomogeneities in rippled neutral graphene | A new mechanism that induces charge density variations in corrugated graphene
is proposed. Here it is shown how the interplay between lattice deformations
and exchange interactions can induce charge separation, i.e., puddles of
electrons and holes, for realistic deformation values of the graphene sheet.
The induced charge density lies in the range of $10^{11}-10^{12}$ cm$^{-2}$,
which is compatible with recent measurements.
| cond-mat.mes-hall cond-mat.mtrl-sci | a new mechanism that induces charge density variations in corrugated graphene is proposed here it is shown how the interplay between lattice deformations and exchange interactions can induce charge separation ie puddles of electrons and holes for realistic deformation values of the graphene sheet the induced charge density lies in the range of 10111012 cm2 which is compatible with recent measurements | [['a', 'new', 'mechanism', 'that', 'induces', 'charge', 'density', 'variations', 'in', 'corrugated', 'graphene', 'is', 'proposed', 'here', 'it', 'is', 'shown', 'how', 'the', 'interplay', 'between', 'lattice', 'deformations', 'and', 'exchange', 'interactions', 'can', 'induce', 'charge', 'separation', 'ie', 'puddles', 'of', 'electrons', 'and', 'holes', 'for', 'realistic', 'deformation', 'values', 'of', 'the', 'graphene', 'sheet', 'the', 'induced', 'charge', 'density', 'lies', 'in', 'the', 'range', 'of', '10111012', 'cm2', 'which', 'is', 'compatible', 'with', 'recent', 'measurements']] | [-0.20036252674868055, 0.2421532445205528, -0.01831865966125376, 0.01603620952628858, 0.009402671004416512, -0.08896288936041662, 0.01359018081890755, 0.38552471781607534, -0.2555496863349051, -0.31839633658222977, -0.03889246031901509, -0.32618120888278623, -0.16835030030886658, 0.13970606462633023, -0.007590016478016118, -0.05574510761963196, -0.004666814847742436, -0.07807063668599871, -0.10619405621555864, -0.15052832227933113, 0.2928649636107634, 0.06202418273925537, 0.3480683960980491, 0.17652363651508435, 0.08363018562009589, 0.006458312318828262, 0.0775589141689363, 0.05019229818440852, -0.1542328412032192, 0.10276047335784944, 0.2053511259985752, -0.09158140427020729, 0.15832097674949003, -0.4689604103504146, -0.23151732010186696, 0.028095701052883608, 0.09546644729180415, 0.12314512590366247, -0.10840476701249842, -0.23444522763640605, 0.08556048134647187, -0.18685148024290313, -0.10101328523005129, -0.05825662534286986, 0.09623698782954426, 0.024741624107920242, -0.3028749950596544, 0.15406980944919538, 0.03273451845848658, -0.04126835453131267, -0.08761865575416167, -0.049565800068686244, -0.11756632513687258, 0.0668844299650461, 0.07285778427908778, 0.06284520628510928, 0.24521953624016682, -0.11856038364597031, -0.06713126375355193, 0.3646361874034781, -0.032159535611262086, -0.16830955928222077, 0.16715337352857726, -0.18641529580364463, -0.044793682188162064, 0.166478124004407, 0.1028137781092378, 0.08622496109455824, -0.12405297700621065, 0.12549208186864547, -0.02611160767264664, 0.18706741837448762, 0.08079787875052358, 0.07710338195358388, 0.29921854840072454, 0.20208119903309424, 0.09056255377096231, 0.06301714838520608, -0.14211381361132763, -0.0751180901253199, -0.26659725930114264, -0.11036367902196333, -0.19305121849794857, 0.06790748329000112, -0.0737290725996527, -0.1594320055355936, 0.401671908230933, 0.1538312773327114, 0.22325746565446503, -0.0693578220518367, 0.22688240988770944, 0.1051371177242397, 0.09935223833337183, -0.010172204259538749, 0.2576578743870324, 0.19345993072283071, 0.04913908954648698, -0.22221868646285328, 0.048787380715633634, 0.0014117709284678834] |
707.2359 | Manufacturing a thin wire electrostatic trap (TWIST) for ultracold polar
molecules | We present a detailed description on how to build a Thin WIre electroStatic
Trap (TWIST) for ultracold polar molecules. It is the first design of an
electrostatic trap that can be superimposed directly onto a magneto optical
trap (MOT). We can thus continuously produce ultracold polar molecules via
photoassociation from a two species MOT and instantaneously trap them in the
TWIST without the need for complex transfer schemes. Despite the spatial
overlap of the TWIST and the MOT, the two traps can be operated and optimized
completely independently due to the complementary nature of the utilized
trapping mechanisms.
| physics.atom-ph | we present a detailed description on how to build a thin wire electrostatic trap twist for ultracold polar molecules it is the first design of an electrostatic trap that can be superimposed directly onto a magneto optical trap mot we can thus continuously produce ultracold polar molecules via photoassociation from a two species mot and instantaneously trap them in the twist without the need for complex transfer schemes despite the spatial overlap of the twist and the mot the two traps can be operated and optimized completely independently due to the complementary nature of the utilized trapping mechanisms | [['we', 'present', 'a', 'detailed', 'description', 'on', 'how', 'to', 'build', 'a', 'thin', 'wire', 'electrostatic', 'trap', 'twist', 'for', 'ultracold', 'polar', 'molecules', 'it', 'is', 'the', 'first', 'design', 'of', 'an', 'electrostatic', 'trap', 'that', 'can', 'be', 'superimposed', 'directly', 'onto', 'a', 'magneto', 'optical', 'trap', 'mot', 'we', 'can', 'thus', 'continuously', 'produce', 'ultracold', 'polar', 'molecules', 'via', 'photoassociation', 'from', 'a', 'two', 'species', 'mot', 'and', 'instantaneously', 'trap', 'them', 'in', 'the', 'twist', 'without', 'the', 'need', 'for', 'complex', 'transfer', 'schemes', 'despite', 'the', 'spatial', 'overlap', 'of', 'the', 'twist', 'and', 'the', 'mot', 'the', 'two', 'traps', 'can', 'be', 'operated', 'and', 'optimized', 'completely', 'independently', 'due', 'to', 'the', 'complementary', 'nature', 'of', 'the', 'utilized', 'trapping', 'mechanisms']] | [-0.09822282977924891, 0.19750509219738888, -0.061294068957735995, -0.009861085954720952, 0.006701254618487188, -0.2006514298026355, 0.04157862186964069, 0.45911603318337274, -0.26639624924056843, -0.2582620897957561, 0.024818366891181817, -0.1926750085240572, -0.06929437268991023, 0.20653959603181907, -0.009125279904282604, 0.04413579130956276, 0.04455275092349977, -0.06002937145151046, -0.019473754589407876, -0.22274533181916922, 0.2809527463336684, 0.07803366970441931, 0.2615177652380448, 0.09524644674657255, 0.09054007792693315, -0.022010542851473604, 0.08626750840007194, -0.03674244207368061, -0.11440608254670966, 0.17673865111772807, 0.21162271248746892, 0.001399900064547071, 0.20200926958754353, -0.5236803010600258, -0.21521607002870616, 0.08516690718979404, 0.2013577632760458, 0.23263388559488313, -0.08311521303388575, -0.27343318829959146, -0.059130737548503946, -0.15988816878976947, -0.11040326725805596, -0.13317002019635876, -0.007552035361984555, 0.06931867944528064, -0.2823293416942612, -0.024621368309825052, 0.06745208901049075, 0.069214880884606, -0.10333659615348645, -0.04530868032110893, 0.018620235047170093, 0.11898403311604444, -0.06543106783290717, 0.06107972201663164, 0.22115825231624198, -0.10767201231602504, -0.06058614125133169, 0.3805361745156804, -0.0809220668992826, -0.17868774488796385, 0.2154211320246722, -0.14777245260870123, -0.010193102769743728, 0.19529475509284103, 0.1887224536728855, 0.08745334366317459, -0.16200281807924716, 0.012146477534362038, -0.026568750394698307, 0.1830494850137442, 0.1395481610599411, 0.0024535298223930355, 0.2949664391938369, 0.11358441552147269, 0.05293296025685814, 0.19792823982187452, -0.15629804105413556, -0.06400982814375311, -0.21502330880232004, -0.15758062629397407, -0.1946174668015114, 0.03753268941452879, -0.012177016362292473, -0.11001408143130569, 0.39528272208776705, 0.09427910626982339, 0.2068433471271122, -0.09404012334903664, 0.3379411317065966, 0.06647231402255747, 0.11232397068596008, 0.016130216747560367, 0.25623367556901794, 0.11502434904402008, 0.09935530871690408, -0.2891715699426678, 0.015081855246906492, 0.07031343057656622] |
707.236 | Order Independence in Asynchronous Cellular Automata | A sequential dynamical system, or SDS, consists of an undirected graph Y, a
vertex-indexed list of local functions F_Y, and a permutation pi of the vertex
set (or more generally, a word w over the vertex set) that describes the order
in which these local functions are to be applied. In this article we
investigate the special case where Y is a circular graph with n vertices and
all of the local functions are identical. The 256 possible local functions are
known as Wolfram rules and the resulting sequential dynamical systems are
called finite asynchronous elementary cellular automata, or ACAs, since they
resemble classical elementary cellular automata, but with the important
distinction that the vertex functions are applied sequentially rather than in
parallel. An ACA is said to be pi-independent if the set of periodic states
does not depend on the choice of pi, and our main result is that for all n>3
exactly 104 of the 256 Wolfram rules give rise to a pi-independent ACA. In 2005
Hansson, Mortveit and Reidys classified the 11 symmetric Wolfram rules with
this property. In addition to reproving and extending this earlier result, our
proofs of pi-independence also provide significant insight into the dynamics of
these systems.
| math.DS | a sequential dynamical system or sds consists of an undirected graph y a vertexindexed list of local functions f_y and a permutation pi of the vertex set or more generally a word w over the vertex set that describes the order in which these local functions are to be applied in this article we investigate the special case where y is a circular graph with n vertices and all of the local functions are identical the 256 possible local functions are known as wolfram rules and the resulting sequential dynamical systems are called finite asynchronous elementary cellular automata or acas since they resemble classical elementary cellular automata but with the important distinction that the vertex functions are applied sequentially rather than in parallel an aca is said to be piindependent if the set of periodic states does not depend on the choice of pi and our main result is that for all n3 exactly 104 of the 256 wolfram rules give rise to a piindependent aca in 2005 hansson mortveit and reidys classified the 11 symmetric wolfram rules with this property in addition to reproving and extending this earlier result our proofs of piindependence also provide significant insight into the dynamics of these systems | [['a', 'sequential', 'dynamical', 'system', 'or', 'sds', 'consists', 'of', 'an', 'undirected', 'graph', 'y', 'a', 'vertexindexed', 'list', 'of', 'local', 'functions', 'f_y', 'and', 'a', 'permutation', 'pi', 'of', 'the', 'vertex', 'set', 'or', 'more', 'generally', 'a', 'word', 'w', 'over', 'the', 'vertex', 'set', 'that', 'describes', 'the', 'order', 'in', 'which', 'these', 'local', 'functions', 'are', 'to', 'be', 'applied', 'in', 'this', 'article', 'we', 'investigate', 'the', 'special', 'case', 'where', 'y', 'is', 'a', 'circular', 'graph', 'with', 'n', 'vertices', 'and', 'all', 'of', 'the', 'local', 'functions', 'are', 'identical', 'the', '256', 'possible', 'local', 'functions', 'are', 'known', 'as', 'wolfram', 'rules', 'and', 'the', 'resulting', 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707.2361 | The SDSS-GALEX viewpoint of the truncated red sequence in field
environments at z~0 | We combine GALEX near-UV photometry with a volume-limited sample of local
(0.005<z<0.037) SDSS DR4 galaxies to examine the composition and the
environmental dependencies of the optical and UV-optical colour-magnitude (C-M)
diagrams. We find that ~30% of red sequence galaxies in the optical C-M diagram
show signs of ongoing star-formation from their spectra having EW(Halpha)>2A.
This contamination is greatest at faint magnitudes (Mr>-19) and in field
regions where as many as three-quarters of red sequence galaxies are
star-forming, and as such has important consequences for following the build-up
of the red sequence. We find that the NUV-r colour instead allows a much more
robust separation of passively-evolving and star-forming galaxies, which allows
the build-up of the UV-selected red sequence with redshift and environment to
be directly interpreted in terms of the assembly of stellar mass in
passively-evolving galaxies. We find that in isolated field regions the number
density of UV-optical red sequence galaxies declines rapidly at magnitudes
fainter than Mr~-19 and appears completely truncated at Mr~-18. This confirms
the findings of Haines et al. (2007) that no passively-evolving dwarf galaxies
are found more than two virial radii from a massive halo, whether that be a
group, cluster or massive galaxy. These results support the downsizing paradigm
whereby the red sequence is assembled from the top down, being already largely
in place at the bright end by z~1, and the faint end filled in at later epochs
in clusters and groups through environment-related processes such as
ram-pressure stripping or galaxy harassment.
| astro-ph | we combine galex nearuv photometry with a volumelimited sample of local 0005z0037 sdss dr4 galaxies to examine the composition and the environmental dependencies of the optical and uvoptical colourmagnitude cm diagrams we find that 30 of red sequence galaxies in the optical cm diagram show signs of ongoing starformation from their spectra having ewhalpha2a this contamination is greatest at faint magnitudes mr19 and in field regions where as many as threequarters of red sequence galaxies are starforming and as such has important consequences for following the buildup of the red sequence we find that the nuvr colour instead allows a much more robust separation of passivelyevolving and starforming galaxies which allows the buildup of the uvselected red sequence with redshift and environment to be directly interpreted in terms of the assembly of stellar mass in passivelyevolving galaxies we find that in isolated field regions the number density of uvoptical red sequence galaxies declines rapidly at magnitudes fainter than mr19 and appears completely truncated at mr18 this confirms the findings of haines et al 2007 that no passivelyevolving dwarf galaxies are found more than two virial radii from a massive halo whether that be a group cluster or massive galaxy these results support the downsizing paradigm whereby the red sequence is assembled from the top down being already largely in place at the bright end by z1 and the faint end filled in at later epochs in clusters and groups through environmentrelated processes such as rampressure stripping or galaxy harassment | [['we', 'combine', 'galex', 'nearuv', 'photometry', 'with', 'a', 'volumelimited', 'sample', 'of', 'local', '0005z0037', 'sdss', 'dr4', 'galaxies', 'to', 'examine', 'the', 'composition', 'and', 'the', 'environmental', 'dependencies', 'of', 'the', 'optical', 'and', 'uvoptical', 'colourmagnitude', 'cm', 'diagrams', 'we', 'find', 'that', '30', 'of', 'red', 'sequence', 'galaxies', 'in', 'the', 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707.2362 | Search for chargino-neutralino production in ppbar collisions at sqrt(s)
= 1.96 TeV | We present the results of a search for associated production of the chargino
and neutralino supersymmetric particles using up to 1.1 fb-1 of integrated
luminosity collected by the CDF II experiment at the Tevatron ppbar collider at
a center-of-mass energy of 1.96 TeV. The search is conducted by analyzing
events with a large transverse momentum imbalance and either three charged
leptons or two charged leptons of the same electric charge. The numbers of
observed events are found to be consistent with standard model expectations.
Upper limits on the production cross section are derived in different
theoretical models. In one of these models a lower limit on the mass of the
chargino is set at 129 GeV/c^2 at the 95% confidence level.
| hep-ex | we present the results of a search for associated production of the chargino and neutralino supersymmetric particles using up to 11 fb1 of integrated luminosity collected by the cdf ii experiment at the tevatron ppbar collider at a centerofmass energy of 196 tev the search is conducted by analyzing events with a large transverse momentum imbalance and either three charged leptons or two charged leptons of the same electric charge the numbers of observed events are found to be consistent with standard model expectations upper limits on the production cross section are derived in different theoretical models in one of these models a lower limit on the mass of the chargino is set at 129 gevc2 at the 95 confidence level | [['we', 'present', 'the', 'results', 'of', 'a', 'search', 'for', 'associated', 'production', 'of', 'the', 'chargino', 'and', 'neutralino', 'supersymmetric', 'particles', 'using', 'up', 'to', '11', 'fb1', 'of', 'integrated', 'luminosity', 'collected', 'by', 'the', 'cdf', 'ii', 'experiment', 'at', 'the', 'tevatron', 'ppbar', 'collider', 'at', 'a', 'centerofmass', 'energy', 'of', '196', 'tev', 'the', 'search', 'is', 'conducted', 'by', 'analyzing', 'events', 'with', 'a', 'large', 'transverse', 'momentum', 'imbalance', 'and', 'either', 'three', 'charged', 'leptons', 'or', 'two', 'charged', 'leptons', 'of', 'the', 'same', 'electric', 'charge', 'the', 'numbers', 'of', 'observed', 'events', 'are', 'found', 'to', 'be', 'consistent', 'with', 'standard', 'model', 'expectations', 'upper', 'limits', 'on', 'the', 'production', 'cross', 'section', 'are', 'derived', 'in', 'different', 'theoretical', 'models', 'in', 'one', 'of', 'these', 'models', 'a', 'lower', 'limit', 'on', 'the', 'mass', 'of', 'the', 'chargino', 'is', 'set', 'at', '129', 'gevc2', 'at', 'the', '95', 'confidence', 'level']] | [-0.0659445901978607, 0.2207256373102692, -0.028121820427785237, 0.1547613793402941, 0.0006094245116942185, -0.11191982310650146, 0.05051279118215311, 0.3173005617308346, -0.14427534257993102, -0.39833977113454794, 0.00953712763865132, -0.39376600896400854, 0.12792468658833156, 0.1730421245577245, 0.09161667677781675, 0.09675356743410846, 0.13264552243477243, 0.018368009298901297, -0.044966800623257794, -0.2363633414006923, 0.2635175842938036, 0.06830844029876565, 0.24901644005016846, 0.09753626475326163, 0.10015328320066545, -0.01973686741678475, -0.04182783755462247, -0.07117232227359306, -0.0922391769276116, 0.10945969443260269, 0.2224262966743737, 0.07278473374495391, 0.11965979879321761, -0.3413014155321885, -0.039797858248487854, 0.15345526578612934, 0.12839577832713353, 0.03474120142357809, -0.07841063098219986, -0.34092814727755616, 0.13656446456616697, -0.2270886466938479, -0.09172559622482758, 0.051339362982722105, 0.004024151254691614, -0.045071083186425207, -0.3108310584933305, 0.1325997534604389, -0.0635612610696761, 0.07529406990131464, -0.04058930179304328, -0.21050374694207052, -0.1300955525626359, -0.051548796057439415, 0.10077088675942765, 0.012783146952327018, 0.19177565361519366, -0.16212494876081787, -0.24567451723658842, 0.3253671563161183, -0.08342033810528719, -0.16955398708535743, 0.22881860548268604, -0.21045899269948445, -0.10936821628677512, 0.19183630787013176, 0.30390974872145216, 0.08400577178017106, -0.24233476960769862, 0.12766993357049503, -0.024243752964703012, 0.16358867363065235, 0.08607772715420516, 0.011103922397298507, 0.272880378964334, 0.23547425581342427, 0.018770132891156456, 0.06233029027588758, -0.16714875248870775, -0.05703256531302964, -0.4491878731006926, -0.0946118909142111, -0.0862624168334421, 0.04324915646844782, -0.05729600404218909, -0.050791714463598474, 0.37177790377350634, 0.13084764191029355, 0.3207861200852458, 0.05791505831601637, 0.2757136631422207, 0.15713863998898286, 0.06194547015123939, 0.0679935501557188, 0.3322953272299179, 0.09558837065350048, 0.13802636804998167, -0.1753933678250298, -0.011810618645149814, 0.04271390733178243] |
707.2363 | A proof of the multiplicity one conjecture for GL(n) in GL(n+1) | Let F be a non-archimedean local field of characteristic zero. We consider
distributions on GL(n+1,F) which are invariant under the adjoint action of
GL(n,F). We prove that any such distribution is invariant with respect to
transposition. This implies that the restriction to GL(n) of any irreducible
smooth representation of GL(n+1) is multiplicity free.
Our paper is based on the recent work [RS] of Steve Rallis and Gerard
Schiffmann where they made a remarkable progress on this problem.
In [RS], they also show that our result implies multiplicity one theorem for
restrictions from the orthogonal group $O(V \oplus F)$ to $O(V)$.
| math.RT | let f be a nonarchimedean local field of characteristic zero we consider distributions on gln1f which are invariant under the adjoint action of glnf we prove that any such distribution is invariant with respect to transposition this implies that the restriction to gln of any irreducible smooth representation of gln1 is multiplicity free our paper is based on the recent work rs of steve rallis and gerard schiffmann where they made a remarkable progress on this problem in rs they also show that our result implies multiplicity one theorem for restrictions from the orthogonal group ov oplus f to ov | [['let', 'f', 'be', 'a', 'nonarchimedean', 'local', 'field', 'of', 'characteristic', 'zero', 'we', 'consider', 'distributions', 'on', 'gln1f', 'which', 'are', 'invariant', 'under', 'the', 'adjoint', 'action', 'of', 'glnf', 'we', 'prove', 'that', 'any', 'such', 'distribution', 'is', 'invariant', 'with', 'respect', 'to', 'transposition', 'this', 'implies', 'that', 'the', 'restriction', 'to', 'gln', 'of', 'any', 'irreducible', 'smooth', 'representation', 'of', 'gln1', 'is', 'multiplicity', 'free', 'our', 'paper', 'is', 'based', 'on', 'the', 'recent', 'work', 'rs', 'of', 'steve', 'rallis', 'and', 'gerard', 'schiffmann', 'where', 'they', 'made', 'a', 'remarkable', 'progress', 'on', 'this', 'problem', 'in', 'rs', 'they', 'also', 'show', 'that', 'our', 'result', 'implies', 'multiplicity', 'one', 'theorem', 'for', 'restrictions', 'from', 'the', 'orthogonal', 'group', 'ov', 'oplus', 'f', 'to', 'ov']] | [-0.17404386405367403, 0.08424746801145375, -0.17447332370560617, 0.01709134096861817, -0.09672183587681502, -0.1216184480767697, -0.027488618957577274, 0.34125215229578315, -0.28417720753233877, -0.20159881003026384, 0.07595852376311087, -0.21471483286470175, -0.1466347397817299, 0.19532399765215813, -0.15416983113158494, -0.00420420735143125, 0.05077204531058669, 0.1289854607032612, -0.09148353344760835, -0.27580319380620494, 0.374851051075384, -0.0444542266940698, 0.2495955329760909, 0.04174217073887121, 0.10281435801880434, 0.05952222337946296, 0.000355387213639915, -0.045312694216845556, -0.13207303166964265, 0.11949823516304604, 0.24706257899757475, 0.10186289421049878, 0.20635193850379438, -0.3513418276421726, -0.16503553285263478, 0.21705336841288955, 0.14214894021395594, 0.01220484507153742, -0.03337684259866364, -0.28526524719782176, 0.16126566391671077, -0.16235943090636284, -0.1344835883192718, -0.037307091737166044, 0.06367753125377931, 0.017765723040793092, -0.3163012265553698, 0.02479242605797481, 0.14077344978228212, 0.10890045447275043, -0.04448410003911704, -0.13726898369845003, -0.03989232127321884, 0.045041635972447695, 0.05728016405948438, 0.13174480917863549, 0.06690342593938112, -0.07444111328106373, -0.09943428583210334, 0.36342154412530364, -0.09243067271076143, -0.2392088094400242, 0.14519528742646798, -0.16673250932246447, -0.20181091038510204, 0.06821795840049162, 0.10700224397704006, 0.14757513254880905, -0.029120755279436708, 0.19962131196574773, -0.16331495593767614, 0.09674666468170472, 0.09078530541155487, 0.0006648623803630472, 0.10589046535547823, 0.04383645776193589, 0.10234267069026828, 0.10658218282158487, 0.021126266496721655, -0.01832156816031784, -0.33131612120196224, -0.19262807596474885, -0.14733702735044063, 0.151182600883767, -0.05743108480222872, -0.1385974767804146, 0.3733079298399389, 0.11269754035165533, 0.1994794245203957, 0.1196579595154617, 0.22314601294696332, 0.11919901699759067, 0.0447919771913439, 0.08516759400255978, 0.12336451582610607, 0.18532569066155702, -0.028225809638388454, -0.18113751413766294, 0.014477693553781137, 0.14412580421660096] |
707.2364 | The origin of strong correlations and superconductivity in Na$_x$CoO$_2$ | We propose a minimal model resolving a puzzle of enigmatic correlations
observed in sodium-rich Na$_x$CoO$_2$ where one expects a simple, free motion
of the dilute $S=1/2$ holes doped into a band insulator NaCoO$_2$. The model
also predicts singlet superconductivity at experimentally observed
compositions. The model is based on a key property of cobalt oxides -- the
spin-state quasidegeneracy of CoO$_6$ octahedral complex -- leading to an
unusual physics of, {\it e.g.}, LaCoO$_3$. We show that correlated hopping
between $t_{2g}$ and $e_g$ states leads to the spin-polaron physics at $x\sim
1$, and to an extended s-wave pairing at larger doping when coherent fermionic
bands are formed.
| cond-mat.str-el cond-mat.supr-con | we propose a minimal model resolving a puzzle of enigmatic correlations observed in sodiumrich na_xcoo_2 where one expects a simple free motion of the dilute s12 holes doped into a band insulator nacoo_2 the model also predicts singlet superconductivity at experimentally observed compositions the model is based on a key property of cobalt oxides the spinstate quasidegeneracy of coo_6 octahedral complex leading to an unusual physics of it eg lacoo_3 we show that correlated hopping between t_2g and e_g states leads to the spinpolaron physics at xsim 1 and to an extended swave pairing at larger doping when coherent fermionic bands are formed | [['we', 'propose', 'a', 'minimal', 'model', 'resolving', 'a', 'puzzle', 'of', 'enigmatic', 'correlations', 'observed', 'in', 'sodiumrich', 'na_xcoo_2', 'where', 'one', 'expects', 'a', 'simple', 'free', 'motion', 'of', 'the', 'dilute', 's12', 'holes', 'doped', 'into', 'a', 'band', 'insulator', 'nacoo_2', 'the', 'model', 'also', 'predicts', 'singlet', 'superconductivity', 'at', 'experimentally', 'observed', 'compositions', 'the', 'model', 'is', 'based', 'on', 'a', 'key', 'property', 'of', 'cobalt', 'oxides', 'the', 'spinstate', 'quasidegeneracy', 'of', 'coo_6', 'octahedral', 'complex', 'leading', 'to', 'an', 'unusual', 'physics', 'of', 'it', 'eg', 'lacoo_3', 'we', 'show', 'that', 'correlated', 'hopping', 'between', 't_2g', 'and', 'e_g', 'states', 'leads', 'to', 'the', 'spinpolaron', 'physics', 'at', 'xsim', '1', 'and', 'to', 'an', 'extended', 'swave', 'pairing', 'at', 'larger', 'doping', 'when', 'coherent', 'fermionic', 'bands', 'are', 'formed']] | [-0.14354958382489927, 0.2584074945910948, -0.01841667246110007, 0.12182321434717297, -0.007228147087837844, -0.2356420824094219, 0.07469336872386254, 0.36604811632252465, -0.2570112342358448, -0.2569448275014521, -0.06534222332308726, -0.3631175593929548, -0.10023632314622256, 0.10071156575919732, 0.03970551281236112, -0.0540223135612905, -0.048693801283233744, -0.039756886697575156, -0.14018214743940488, -0.2031410482013598, 0.29371811793980135, -0.004191701811756573, 0.2701875839893724, 0.08071217116644132, 0.05198970186871057, 0.005369713091674973, 0.1909649994626057, -0.02615092726716516, -0.15774633259064227, 0.09423881587195758, 0.28274084623747814, -0.09378429488096313, 0.17840872328801483, -0.41016919456203194, -0.19797279497645065, 0.004779234482888498, 0.1562517048574484, 0.13781442027539015, -0.06241864876880986, -0.2662465960179985, 0.016675810256571163, -0.1780690328565006, -0.13525693368751043, -0.06958247541208003, -0.002881303406777043, -0.0943757961230243, -0.2682939315552586, 0.12060964773791413, 0.0709738455457138, 0.07356511434430585, -0.10895502724737276, -0.14184391153428486, -0.10807416868606108, 0.011064168010146687, 0.05220793410747623, 0.040551373826376365, 0.086699006777695, -0.11212985601057024, -0.10669130311155231, 0.4076901663313894, -0.022981720661525342, -0.05136571986162487, 0.1841807991343861, -0.1983445965885824, -0.12111032153844979, 0.17563057747468644, 0.08244732117243841, 0.08174204638892073, -0.0963576056376184, 0.0857059432173093, -0.0715884535856472, 0.22572025203365176, -0.016020343314819767, 0.11062859916402136, 0.2874558217567848, 0.22825625287505852, 0.04141737443084518, 0.12691181369454546, -0.1270174149757105, -0.06944588370913383, -0.21590406149077943, -0.16420607725226813, -0.20461287823113083, 0.06381525845248617, -0.055654779952829796, -0.1953461770260451, 0.3970405246112861, 0.12038246024509563, 0.20301652959018363, -0.11209595372772538, 0.16421872718613076, 0.06111165134272739, 0.05920372522315102, 0.021331229911404934, 0.20484920276566318, 0.15091992444678337, 0.04838818865348859, -0.28262574192565665, 0.07563712513165585, 0.0416687387829263] |
707.2365 | Weights of modular forms on $\mathrm{SO}^{+}(2,l)$ and congruences
between Eisenstein series and cusp forms of half-integral weight on
$\mathrm{SL}_{2}$ | Let $E$ be a level 1, vector valued Eisenstein series of half-integral
weight, normalized so that the coefficients are all in $\mathbb{Z}$. We show
that there is a level one vector valued cusp form $f$ with the same weight as
$E$ and with coefficients in $\mathbb{Z}$, which is congruent to $E$ modulo the
constant term of $E$.
| math.NT | let e be a level 1 vector valued eisenstein series of halfintegral weight normalized so that the coefficients are all in mathbbz we show that there is a level one vector valued cusp form f with the same weight as e and with coefficients in mathbbz which is congruent to e modulo the constant term of e | [['let', 'e', 'be', 'a', 'level', '1', 'vector', 'valued', 'eisenstein', 'series', 'of', 'halfintegral', 'weight', 'normalized', 'so', 'that', 'the', 'coefficients', 'are', 'all', 'in', 'mathbbz', 'we', 'show', 'that', 'there', 'is', 'a', 'level', 'one', 'vector', 'valued', 'cusp', 'form', 'f', 'with', 'the', 'same', 'weight', 'as', 'e', 'and', 'with', 'coefficients', 'in', 'mathbbz', 'which', 'is', 'congruent', 'to', 'e', 'modulo', 'the', 'constant', 'term', 'of', 'e']] | [-0.22847445766653932, 0.15195407788677698, -0.05933429670046296, -0.0512240385072992, -0.07868432055080407, -0.17617243157470958, -0.020057570025847668, 0.32785048897851976, -0.3440813984264407, -0.18354285978957227, 0.009714395628849926, -0.31495608761906624, -0.16092850894895955, 0.16547751348269613, -0.01452174861180155, 0.023132916523568463, 0.038673820239573456, 0.1977515730255267, -0.03682545720387185, -0.32611328608503465, 0.3309541377974184, 0.006936740816423767, 0.1402274070178943, -0.0012001853472994345, 0.10735031243479043, 0.009988112579377597, 0.020340699245009506, -0.062109310804915274, -0.11241619951595153, 0.13261388977499386, 0.28965490627543705, 0.034157789459354, 0.28073445004982905, -0.35381615861204635, -0.13304048453931483, 0.24183705132127853, 0.09340278207112038, -0.13401259549917946, 0.05680010190004842, -0.17154564735430636, 0.17597497421267785, -0.12700332093395686, -0.0947190665460208, -0.12472655522849477, 0.14179457727362188, 0.029158641437166614, -0.36507411585434485, 0.047882529106317906, 0.1179589230175081, 0.09272588067279573, -0.10804839505764999, -0.20971806948645072, -0.05942036753945183, 0.030450102677078622, 0.019054216585988014, 0.15836516921020424, 0.05695058295111123, -0.10398551567637346, -0.12190875458416708, 0.37483172105592594, -0.1690488901120006, -0.28079051413295564, 0.06844061282626762, -0.2556270487083678, -0.14838355130989822, 0.11812632079562989, 0.09921267996297072, 0.10128974878604997, -0.009195735890483647, 0.2186389707198383, -0.12085396660647045, 0.1369460871966, 0.1469574800136973, -0.042377832125088104, 0.16515958228704045, -0.036669691665130746, 0.060931452321248095, 0.07749343165727496, -0.020014707995742037, 0.03172670225531124, -0.37055959644024833, -0.18554038577304596, -0.17032120955429905, 0.1746996009820386, -0.058853490049123616, -0.1725297317464362, 0.3645600185182207, 0.027997870504725398, 0.30986186509886593, 0.11186340037251316, 0.1829730412154867, 0.22682576825670703, 0.08584064366541018, 0.08099782707071618, 0.04098201436889276, 0.11587069119865957, -0.05363356671704535, -0.1124175287489044, -0.0018152762561824108, 0.13103473709340682] |
707.2366 | Study of star formation in NGC 1084 | We present UBVRI broad band, H$\alpha$ narrow band photometry of the star
forming complexes in the infra-red bright galaxy NGC 1084. Results of medium
resolution spectroscopy of some of the brighter complexes are also discussed.
Spectroscopic data is used to better estimate the internal reddening within the
galaxy which is found to be highly variable and to calculate metallicity which
is close to the solar value. Diagnostic diagram identifies the shocked regions
within this galaxy. The narrow band H$\alpha$ flux and its equivalent width are
used to determine the star formation rates of the complexes and the
distribution of ages. Star formation rates for a few of the complexes are found
to be as high as 0.5 $M_{\odot}$/year. The star forming complexes lie in the
age range 3 Myr to 6.5 Myr. U-B vs V-I colour-colour mixed population model
created using the Starburst99 model colours is used to estimate the ages of the
stellar populations present within these regions. Using this technique, it is
found that the star formation in NGC 1084 has taken place in a series of short
bursts over the last 40 Myr or so. It is proposed that the likely trigger for
enhanced star formation is merger with a gas rich dwarf galaxy.
| astro-ph | we present ubvri broad band halpha narrow band photometry of the star forming complexes in the infrared bright galaxy ngc 1084 results of medium resolution spectroscopy of some of the brighter complexes are also discussed spectroscopic data is used to better estimate the internal reddening within the galaxy which is found to be highly variable and to calculate metallicity which is close to the solar value diagnostic diagram identifies the shocked regions within this galaxy the narrow band halpha flux and its equivalent width are used to determine the star formation rates of the complexes and the distribution of ages star formation rates for a few of the complexes are found to be as high as 05 m_odotyear the star forming complexes lie in the age range 3 myr to 65 myr ub vs vi colourcolour mixed population model created using the starburst99 model colours is used to estimate the ages of the stellar populations present within these regions using this technique it is found that the star formation in ngc 1084 has taken place in a series of short bursts over the last 40 myr or so it is proposed that the likely trigger for enhanced star formation is merger with a gas rich dwarf galaxy | [['we', 'present', 'ubvri', 'broad', 'band', 'halpha', 'narrow', 'band', 'photometry', 'of', 'the', 'star', 'forming', 'complexes', 'in', 'the', 'infrared', 'bright', 'galaxy', 'ngc', '1084', 'results', 'of', 'medium', 'resolution', 'spectroscopy', 'of', 'some', 'of', 'the', 'brighter', 'complexes', 'are', 'also', 'discussed', 'spectroscopic', 'data', 'is', 'used', 'to', 'better', 'estimate', 'the', 'internal', 'reddening', 'within', 'the', 'galaxy', 'which', 'is', 'found', 'to', 'be', 'highly', 'variable', 'and', 'to', 'calculate', 'metallicity', 'which', 'is', 'close', 'to', 'the', 'solar', 'value', 'diagnostic', 'diagram', 'identifies', 'the', 'shocked', 'regions', 'within', 'this', 'galaxy', 'the', 'narrow', 'band', 'halpha', 'flux', 'and', 'its', 'equivalent', 'width', 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707.2367 | Rectification by charging -- the physics of contact-induced current
asymmetry in molecular conductors | We outline the qualitatively different physics behind charging-induced
current asymmetries in molecular conductors operating in the weakly interacting
self-consistent field (SCF) and the strongly interacting Coulomb Blockade (CB)
regimes. A conductance asymmetry arises in SCF because of the unequal
mean-field potentials that shift a closed-shell conducting level differently
for positive and negative bias. A very different current asymmetry arises for
CB due to the unequal number of open-shell excitation channels at opposite bias
voltages. The CB regime, dominated by single charge effects, typically requires
a computationally demanding many-electron or Fock space description. However,
our analysis of molecular Coulomb Blockade measurements reveals that many novel
signatures can be explained using a {{simpler}} orthodox model that involves an
incoherent sum of Fock space excitations and {\it{hence treats the molecule as
a metallic dot or an island}}. This also reduces the complexity of the Fock
space description by just including various charge configurations only, thus
partially underscoring the importance of electronic structure, while retaining
the essence of the single charge nature of the transport process. We finally
point out, however, that the inclusion of electronic structure and hence
well-resolved Fock space excitations is crucial in some notable examples.
| cond-mat.mes-hall | we outline the qualitatively different physics behind charginginduced current asymmetries in molecular conductors operating in the weakly interacting selfconsistent field scf and the strongly interacting coulomb blockade cb regimes a conductance asymmetry arises in scf because of the unequal meanfield potentials that shift a closedshell conducting level differently for positive and negative bias a very different current asymmetry arises for cb due to the unequal number of openshell excitation channels at opposite bias voltages the cb regime dominated by single charge effects typically requires a computationally demanding manyelectron or fock space description however our analysis of molecular coulomb blockade measurements reveals that many novel signatures can be explained using a simpler orthodox model that involves an incoherent sum of fock space excitations and ithence treats the molecule as a metallic dot or an island this also reduces the complexity of the fock space description by just including various charge configurations only thus partially underscoring the importance of electronic structure while retaining the essence of the single charge nature of the transport process we finally point out however that the inclusion of electronic structure and hence wellresolved fock space excitations is crucial in some notable examples | [['we', 'outline', 'the', 'qualitatively', 'different', 'physics', 'behind', 'charginginduced', 'current', 'asymmetries', 'in', 'molecular', 'conductors', 'operating', 'in', 'the', 'weakly', 'interacting', 'selfconsistent', 'field', 'scf', 'and', 'the', 'strongly', 'interacting', 'coulomb', 'blockade', 'cb', 'regimes', 'a', 'conductance', 'asymmetry', 'arises', 'in', 'scf', 'because', 'of', 'the', 'unequal', 'meanfield', 'potentials', 'that', 'shift', 'a', 'closedshell', 'conducting', 'level', 'differently', 'for', 'positive', 'and', 'negative', 'bias', 'a', 'very', 'different', 'current', 'asymmetry', 'arises', 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707.2368 | New Ultraviolet Observations of AM CVn | We have obtained observations of the ultraviolet spectrum of AM CVn, an
ultra-short-period helium cataclysmic variable, using the Space Telescope
Imaging Spectrograph (STIS) aboard the Hubble Space Telescope (HST). We
obtained data in time-tag mode during two consecutive orbits of HST, covering
1600-3150 and 1140-1710 Angstrom, respectively. The mean spectrum is
approximately flat in f-nu. The absorption profiles of the strong lines of N V,
Si IV, C IV, He II, and N IV are blue-shifted and in some cases asymmetric,
evidencing a wind that is partly occulted by the accretion disk. There is weak
red-shifted emission from N V and He II. The profiles of these lines vary
mildly with time. The light curve shows a decline of ~20% over the span of the
observations. There is also flickering and a 27 s (or 54 s) "dwarf nova
oscillation", revealed in a power-spectrum analysis. The amplitude of this
oscillation is larger at shorter wavelengths. We assemble and illustrate the
spectral energy distribution (s.e.d.) of AM CVn from the ultraviolet to the
near-infrared. Modeling the accretion phenomenon in this binary system can in
principle lead to a robust estimate of the mass accretion rate on to the
central white dwarf, which is of great interest in characterizing the
evolutionary history of the binary system. Inferences about the mass accretion
rate depend strongly on the local radiative properties of the disk, as we
illustrate. Uncertainty in the distance of AM CVn and other parameters of the
binary system presently limit the ability to confidently infer the mass
accretion rate.
| astro-ph | we have obtained observations of the ultraviolet spectrum of am cvn an ultrashortperiod helium cataclysmic variable using the space telescope imaging spectrograph stis aboard the hubble space telescope hst we obtained data in timetag mode during two consecutive orbits of hst covering 16003150 and 11401710 angstrom respectively the mean spectrum is approximately flat in fnu the absorption profiles of the strong lines of n v si iv c iv he ii and n iv are blueshifted and in some cases asymmetric evidencing a wind that is partly occulted by the accretion disk there is weak redshifted emission from n v and he ii the profiles of these lines vary mildly with time the light curve shows a decline of 20 over the span of the observations there is also flickering and a 27 s or 54 s dwarf nova oscillation revealed in a powerspectrum analysis the amplitude of this oscillation is larger at shorter wavelengths we assemble and illustrate the spectral energy distribution sed of am cvn from the ultraviolet to the nearinfrared modeling the accretion phenomenon in this binary system can in principle lead to a robust estimate of the mass accretion rate on to the central white dwarf which is of great interest in characterizing the evolutionary history of the binary system inferences about the mass accretion rate depend strongly on the local radiative properties of the disk as we illustrate uncertainty in the distance of am cvn and other parameters of the binary system presently limit the ability to confidently infer the mass accretion rate | [['we', 'have', 'obtained', 'observations', 'of', 'the', 'ultraviolet', 'spectrum', 'of', 'am', 'cvn', 'an', 'ultrashortperiod', 'helium', 'cataclysmic', 'variable', 'using', 'the', 'space', 'telescope', 'imaging', 'spectrograph', 'stis', 'aboard', 'the', 'hubble', 'space', 'telescope', 'hst', 'we', 'obtained', 'data', 'in', 'timetag', 'mode', 'during', 'two', 'consecutive', 'orbits', 'of', 'hst', 'covering', '16003150', 'and', 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707.2369 | Radio Loudness of AGNs: Host Galaxy Morphology and the Spin Paradigm | We investigate how the total radio luminosity of AGN-powered radio sources
depends on their accretion luminosity and the central black hole mass. We find
that AGNs form two distinct and well separated sequences on the radio-loudness
- Eddington-ratio plane. We argue that these sequences mark the real upper
bounds of radio-loudness of two distinct populations of AGNs: those hosted
respectively by elliptical and disk galaxies. Both sequences show the same
dependence of the radio-loudness on the Eddington ratio (an increase with
decreasing Eddington ratio), which suggests that another parameter in addition
to the accretion rate must play a role in determining the jet production
efficiency in active galactic nuclei, and that this parameter is related to
properties of the host galaxy. The revealed host-related radio dichotomy breaks
down at high accretion rates where the dominant fraction of luminous quasars
hosted by elliptical galaxies is radio quiet. We argue that the huge difference
between the radio-loudness reachable by AGNs in disc and elliptical galaxies
can be explained by the scenario according to which the spin of a black hole
determines the outflow's power, and central black holes can reach large spins
only in early type galaxies (following major mergers), and not (in a
statistical sense) in spiral galaxies.
| astro-ph | we investigate how the total radio luminosity of agnpowered radio sources depends on their accretion luminosity and the central black hole mass we find that agns form two distinct and well separated sequences on the radioloudness eddingtonratio plane we argue that these sequences mark the real upper bounds of radioloudness of two distinct populations of agns those hosted respectively by elliptical and disk galaxies both sequences show the same dependence of the radioloudness on the eddington ratio an increase with decreasing eddington ratio which suggests that another parameter in addition to the accretion rate must play a role in determining the jet production efficiency in active galactic nuclei and that this parameter is related to properties of the host galaxy the revealed hostrelated radio dichotomy breaks down at high accretion rates where the dominant fraction of luminous quasars hosted by elliptical galaxies is radio quiet we argue that the huge difference between the radioloudness reachable by agns in disc and elliptical galaxies can be explained by the scenario according to which the spin of a black hole determines the outflows power and central black holes can reach large spins only in early type galaxies following major mergers and not in a statistical sense in spiral galaxies | [['we', 'investigate', 'how', 'the', 'total', 'radio', 'luminosity', 'of', 'agnpowered', 'radio', 'sources', 'depends', 'on', 'their', 'accretion', 'luminosity', 'and', 'the', 'central', 'black', 'hole', 'mass', 'we', 'find', 'that', 'agns', 'form', 'two', 'distinct', 'and', 'well', 'separated', 'sequences', 'on', 'the', 'radioloudness', 'eddingtonratio', 'plane', 'we', 'argue', 'that', 'these', 'sequences', 'mark', 'the', 'real', 'upper', 'bounds', 'of', 'radioloudness', 'of', 'two', 'distinct', 'populations', 'of', 'agns', 'those', 'hosted', 'respectively', 'by', 'elliptical', 'and', 'disk', 'galaxies', 'both', 'sequences', 'show', 'the', 'same', 'dependence', 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707.237 | Temperature Equilibration Rate with Fermi-Dirac Statistics | We calculate the electron-ion temperature equilibration rate in a fully
ionized, weakly to moderately coupled plasma, using an exact treatment of the
Fermi-Dirac electrons. The temperature is sufficiently high so that the
quantum-mechanical Born approximation to the scattering is valid. At the heart
of this calculation lies the method of dimensional continuation, a technique
that we borrow from quantum field theory and use in a novel fashion to regulate
the kinetic equations in a consistent manner. We can then perform a systematic
perturbation expansion and thereby obtain a finite first-principles result to
leading and next-to-leading order. Unlike model building, this systematic
calculation yields an estimate of its own error and thus prescribes its domain
of applicability. The calculational error is small for a weakly to moderately
coupled plasma, for which our result is nearly exact. It should also be
emphasized that our calculation becomes unreliable for a strongly coupled
plasma, where the perturbative expansion that we employ breaks down, and one
must then utilize model building and computer simulations. Besides providing
new and potentially useful results, we use this calculation as an opportunity
to explain the method of dimensional continuation in a pedagogical fashion.
Interestingly, in the regime of relevance for many inertial confinement fusion
experiments, the degeneracy corrections are comparable in size to the
subleading quantum correction below the Born approximation. For consistency, we
therefore present this subleading quantum-to-classical transition correction in
addition to the degeneracy correction.
| physics.plasm-ph | we calculate the electronion temperature equilibration rate in a fully ionized weakly to moderately coupled plasma using an exact treatment of the fermidirac electrons the temperature is sufficiently high so that the quantummechanical born approximation to the scattering is valid at the heart of this calculation lies the method of dimensional continuation a technique that we borrow from quantum field theory and use in a novel fashion to regulate the kinetic equations in a consistent manner we can then perform a systematic perturbation expansion and thereby obtain a finite firstprinciples result to leading and nexttoleading order unlike model building this systematic calculation yields an estimate of its own error and thus prescribes its domain of applicability the calculational error is small for a weakly to moderately coupled plasma for which our result is nearly exact it should also be emphasized that our calculation becomes unreliable for a strongly coupled plasma where the perturbative expansion that we employ breaks down and one must then utilize model building and computer simulations besides providing new and potentially useful results we use this calculation as an opportunity to explain the method of dimensional continuation in a pedagogical fashion interestingly in the regime of relevance for many inertial confinement fusion experiments the degeneracy corrections are comparable in size to the subleading quantum correction below the born approximation for consistency we therefore present this subleading quantumtoclassical transition correction in addition to the degeneracy correction | [['we', 'calculate', 'the', 'electronion', 'temperature', 'equilibration', 'rate', 'in', 'a', 'fully', 'ionized', 'weakly', 'to', 'moderately', 'coupled', 'plasma', 'using', 'an', 'exact', 'treatment', 'of', 'the', 'fermidirac', 'electrons', 'the', 'temperature', 'is', 'sufficiently', 'high', 'so', 'that', 'the', 'quantummechanical', 'born', 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707.2371 | I Zw 18 revisited with HST/ACS and Cepheids: New Distance and Age | We present new V and I-band HST/ACS photometry of I Zw 18, the most
metal-poor blue compact dwarf (BCD) galaxy in the nearby universe. It has been
argued in the past that I Zw 18 is a very young system that started forming
stars only < 500 Myr ago, but other work has hinted that older (> 1 Gyr) red
giant branch (RGB) stars may also exist. Our new data, once combined with
archival HST/ACS data, provide a deep and uncontaminated optical
color-magnitude diagram (CMD) that now strongly indicates an RGB. The RGB tip
(TRGB) magnitude yields a distance modulus (m-M)_0 = 31.30 +/- 0.17, i.e., D =
18.2 +/- 1.5 Mpc. The time-series nature of our observations allows us to also
detect and characterize for the first time three classical Cepheids in I~Zw~18.
The time-averaged Cepheid <V> and <I> magnitudes are compared to the VI
reddening-free Wesenheit relation predicted from new non-linear pulsation
models specifically calculated at the metallicity of I Zw 18. For the one
bona-fide classical Cepheid with a period of 8.63 days this implies a distance
modulus (m-M)_0 = 31.42 +/- 0.26. The other two Cepheids have unusually long
periods (125.0 and 129.8 d) but are consistent with this distance. The coherent
picture that emerges is that I Zw 18 is older and farther away than previously
believed. This rules out the possibility that I Zw 18 is a truly primordial
galaxy formed recently (z < 0.1) in the local universe.
| astro-ph | we present new v and iband hstacs photometry of i zw 18 the most metalpoor blue compact dwarf bcd galaxy in the nearby universe it has been argued in the past that i zw 18 is a very young system that started forming stars only 500 myr ago but other work has hinted that older 1 gyr red giant branch rgb stars may also exist our new data once combined with archival hstacs data provide a deep and uncontaminated optical colormagnitude diagram cmd that now strongly indicates an rgb the rgb tip trgb magnitude yields a distance modulus mm_0 3130 017 ie d 182 15 mpc the timeseries nature of our observations allows us to also detect and characterize for the first time three classical cepheids in izw18 the timeaveraged cepheid v and i magnitudes are compared to the vi reddeningfree wesenheit relation predicted from new nonlinear pulsation models specifically calculated at the metallicity of i zw 18 for the one bonafide classical cepheid with a period of 863 days this implies a distance modulus mm_0 3142 026 the other two cepheids have unusually long periods 1250 and 1298 d but are consistent with this distance the coherent picture that emerges is that i zw 18 is older and farther away than previously believed this rules out the possibility that i zw 18 is a truly primordial galaxy formed recently z 01 in the local universe | [['we', 'present', 'new', 'v', 'and', 'iband', 'hstacs', 'photometry', 'of', 'i', 'zw', '18', 'the', 'most', 'metalpoor', 'blue', 'compact', 'dwarf', 'bcd', 'galaxy', 'in', 'the', 'nearby', 'universe', 'it', 'has', 'been', 'argued', 'in', 'the', 'past', 'that', 'i', 'zw', '18', 'is', 'a', 'very', 'young', 'system', 'that', 'started', 'forming', 'stars', 'only', '500', 'myr', 'ago', 'but', 'other', 'work', 'has', 'hinted', 'that', 'older', '1', 'gyr', 'red', 'giant', 'branch', 'rgb', 'stars', 'may', 'also', 'exist', 'our', 'new', 'data', 'once', 'combined', 'with', 'archival', 'hstacs', 'data', 'provide', 'a', 'deep', 'and', 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707.2372 | Importance of bath dynamics for decoherence in spin systems | We study the decoherence of two coupled spins that interact with a chaotic
spin-bath environment. It is shown that connectivity of spins in the bath is of
crucial importance for the decoherence of the central system. The previously
found phenomenon of two-step decoherence (Phys. Rev. Lett. {\bf 90}, 210401
(2003)) turns out to be typical for the bath with a slow enough dynamics or no
dynamics. For a generic random system with chaotic dynamics a conventional
exponential relaxation to the pointer states takes place. Our results confirm a
conjecture of Paz and Zurek (Phys. Rev. Lett. {\bf 82}, 5181 (1999)) that for
weak enough interactions the pointer states are eigenstates of the central
system.
| cond-mat.other quant-ph | we study the decoherence of two coupled spins that interact with a chaotic spinbath environment it is shown that connectivity of spins in the bath is of crucial importance for the decoherence of the central system the previously found phenomenon of twostep decoherence phys rev lett bf 90 210401 2003 turns out to be typical for the bath with a slow enough dynamics or no dynamics for a generic random system with chaotic dynamics a conventional exponential relaxation to the pointer states takes place our results confirm a conjecture of paz and zurek phys rev lett bf 82 5181 1999 that for weak enough interactions the pointer states are eigenstates of the central system | [['we', 'study', 'the', 'decoherence', 'of', 'two', 'coupled', 'spins', 'that', 'interact', 'with', 'a', 'chaotic', 'spinbath', 'environment', 'it', 'is', 'shown', 'that', 'connectivity', 'of', 'spins', 'in', 'the', 'bath', 'is', 'of', 'crucial', 'importance', 'for', 'the', 'decoherence', 'of', 'the', 'central', 'system', 'the', 'previously', 'found', 'phenomenon', 'of', 'twostep', 'decoherence', 'phys', 'rev', 'lett', 'bf', '90', '210401', '2003', 'turns', 'out', 'to', 'be', 'typical', 'for', 'the', 'bath', 'with', 'a', 'slow', 'enough', 'dynamics', 'or', 'no', 'dynamics', 'for', 'a', 'generic', 'random', 'system', 'with', 'chaotic', 'dynamics', 'a', 'conventional', 'exponential', 'relaxation', 'to', 'the', 'pointer', 'states', 'takes', 'place', 'our', 'results', 'confirm', 'a', 'conjecture', 'of', 'paz', 'and', 'zurek', 'phys', 'rev', 'lett', 'bf', '82', '5181', '1999', 'that', 'for', 'weak', 'enough', 'interactions', 'the', 'pointer', 'states', 'are', 'eigenstates', 'of', 'the', 'central', 'system']] | [-0.16792438697098477, 0.17743257696642295, -0.07344606938095878, -0.014963616950952104, 0.0014760418868574657, -0.15343834165271306, 0.06475654771355421, 0.2962382849747021, -0.1589927488709228, -0.2558548223357974, -0.024244460784789305, -0.26849007106328937, -0.1577317727210915, 0.19863340774706253, -0.059359668488532566, 0.017718962610192728, 0.06919654236550916, 0.000861954240112059, -0.0035384013052016756, -0.2665449449335012, 0.17242433049224865, 0.09752782554444325, 0.2711577769123802, 0.02987288039896572, 0.08806713695409135, 0.046113297937584945, 0.07586027747183516, -0.028106474464661198, -0.11639693791853221, -0.00014098825672510684, 0.1949680454440807, 0.06404066164242594, 0.2784274550187483, -0.42376772397638934, -0.21247163540969619, 0.09741206412313898, 0.084035588122022, 0.1652857678444043, 0.028125990427246218, -0.39026458185623614, 0.027738252548468217, -0.21245271304883717, -0.12904732048781098, -0.12439099621240116, 0.15761749788693952, -0.02760571407423796, -0.3082328913534232, 0.1778378254374522, 0.13429243645320335, 0.019936961142280905, 0.02476947469506086, -0.00851165214982374, -0.035445789436875076, 0.02932251237890389, -0.030913946917280555, 0.06990206396215383, 0.15540520042965286, -0.038802105569885226, -0.1153016183198544, 0.3447741580179386, -0.03221851290130105, -0.15641986351629225, 0.2917125687154271, -0.1352815000511902, -0.13210880460029698, 0.11909321568938985, 0.1335967722585784, 0.1267981471559196, -0.19673999035404177, 0.1037926059211155, -0.06573140028079874, 0.18450587084353492, 0.039107710470265726, 0.05887621100236286, 0.18888793343253302, 0.12118193298872364, -0.007077272995701877, 0.12818083140218892, -0.09547066891141105, -0.20488868206085867, -0.2801781355999737, -0.15320010391868683, -0.21687940604118794, 0.13462088920028978, 0.007661403741063591, -0.10343377865322972, 0.399324611548269, 0.17098413884901165, 0.21336710029445066, -0.004501855123395983, 0.16241591557729662, 0.08614831432606208, -0.010049186769480767, 0.14899625300894145, 0.28929474060995536, 0.21763356438462148, 0.07854652298990179, -0.2986455381186189, 0.016697481017265665, 0.00560255714471599] |
707.2373 | NNLO QCD predictions for the H -> WW -> l l nu nu signal at the LHC | We present a first computation of the NNLO QCD cross section at the LHC for
the production of four leptons from a Higgs boson decaying into W bosons. We
study the cross section for a Higgs boson mass Mh = 165 GeV; around this value
a Standard Model Higgs boson decays almost exclusively into W-pairs. We apply
all nominal experimental cuts on the final state leptons and the associated jet
activity and study the magnitude of higher-order effects up to NNLO on all
kinematic variables which are constrained by experimental cuts. We find that
the magnitude of the higher-order corrections varies significantly with the
signal selection cuts. As a main result we give the value of the cross section
at NNLO with all selection cuts envisaged for the search for the Higgs boson.
| hep-ph | we present a first computation of the nnlo qcd cross section at the lhc for the production of four leptons from a higgs boson decaying into w bosons we study the cross section for a higgs boson mass mh 165 gev around this value a standard model higgs boson decays almost exclusively into wpairs we apply all nominal experimental cuts on the final state leptons and the associated jet activity and study the magnitude of higherorder effects up to nnlo on all kinematic variables which are constrained by experimental cuts we find that the magnitude of the higherorder corrections varies significantly with the signal selection cuts as a main result we give the value of the cross section at nnlo with all selection cuts envisaged for the search for the higgs boson | [['we', 'present', 'a', 'first', 'computation', 'of', 'the', 'nnlo', 'qcd', 'cross', 'section', 'at', 'the', 'lhc', 'for', 'the', 'production', 'of', 'four', 'leptons', 'from', 'a', 'higgs', 'boson', 'decaying', 'into', 'w', 'bosons', 'we', 'study', 'the', 'cross', 'section', 'for', 'a', 'higgs', 'boson', 'mass', 'mh', '165', 'gev', 'around', 'this', 'value', 'a', 'standard', 'model', 'higgs', 'boson', 'decays', 'almost', 'exclusively', 'into', 'wpairs', 'we', 'apply', 'all', 'nominal', 'experimental', 'cuts', 'on', 'the', 'final', 'state', 'leptons', 'and', 'the', 'associated', 'jet', 'activity', 'and', 'study', 'the', 'magnitude', 'of', 'higherorder', 'effects', 'up', 'to', 'nnlo', 'on', 'all', 'kinematic', 'variables', 'which', 'are', 'constrained', 'by', 'experimental', 'cuts', 'we', 'find', 'that', 'the', 'magnitude', 'of', 'the', 'higherorder', 'corrections', 'varies', 'significantly', 'with', 'the', 'signal', 'selection', 'cuts', 'as', 'a', 'main', 'result', 'we', 'give', 'the', 'value', 'of', 'the', 'cross', 'section', 'at', 'nnlo', 'with', 'all', 'selection', 'cuts', 'envisaged', 'for', 'the', 'search', 'for', 'the', 'higgs', 'boson']] | [-0.058436422870060754, 0.1894891921018485, -0.07518133245237911, 0.14378888583973135, -0.06607356762428207, -0.09627365883624622, 0.06129414624737163, 0.33433673781776474, -0.19326202427072606, -0.2788561874225679, 0.015958861888649353, -0.31407566632336104, 0.05340334918094045, 0.16385832081285825, 0.09721339146010329, 0.10060206996205881, 0.1258100265573056, 0.01240411322592324, -0.049295216935637, -0.30587547854698116, 0.3263128790933326, -0.0007350550936037348, 0.17465107076453001, 0.09560774744111504, 0.08222572311033843, 0.09354090695589326, -0.06811810458809464, -0.0684458372673688, -0.15806502292763827, 0.0743852850753558, 0.16871987080613848, 0.04557162104174495, 0.137052952887789, -0.2640421033040656, -0.05722064368839141, 0.13127046506780818, 0.15410184581543654, 0.11481019748172204, -0.039739888675070105, -0.2987576119374228, 0.1327966431667673, -0.22811126492905096, -0.0706917799685776, -0.055314586121048635, -0.04332672220206898, -0.08961148471535958, -0.32138210630314495, 0.06957232252559589, -0.038961567171273456, 0.00954751625749503, -0.010399739521036622, -0.22151687643170812, -0.10870117579679225, -0.014953752485537574, 0.14564255033246462, 0.055182212839286975, 0.19047911873954626, -0.22566581903672459, -0.23752253114171185, 0.38898975050915746, -0.07723501354512823, -0.1513757071429366, 0.13073177952390477, -0.18940737575847116, -0.16399171852990133, 0.1839823722697169, 0.2721870271986677, 0.08134998570068362, -0.17722613628925257, 0.13745061675253686, -0.002567412802693612, 0.16552552057764286, 0.05847936609176962, 0.035071035919938494, 0.19969463078234032, 0.19830538347747376, 0.04700620217206142, 0.08049136845977935, -0.12099247620279283, -0.06898962775998899, -0.49361520308915896, -0.13984345055348774, -0.012850085446675031, 0.04359529234241438, -0.09227907371450436, -0.1172991916110725, 0.4138194716580831, 0.1335752219334289, 0.32696420787513714, 0.055879638548975964, 0.3521605638204185, 0.14838671070640863, 0.10900461956332544, 0.05224120501741653, 0.35194100050668, 0.1538331113019887, 0.11415375689869277, -0.18108325197631564, 0.009923847154038781, 0.08581317231087511] |
707.2374 | Search for Exclusive Gamma Gamma Production in Hadron-Hadron Collisions | We have searched for exclusive 2-photon production in proton-antiproton
collisions at sqrt{s} = 1.96 TeV, using 532/pb of integrated luminosity taken
by the Run II Collider Detector at Fermilab. The event signature requires two
electromagnetic showers, each with transverse energy E_T > 5 GeV and
pseudorapidity |eta|<1.0, with no other particles detected in the event. Three
candidate events are observed. We discuss the consistency of the three events
with gamma-gamma, pi0-pi0, or eta-eta production. The probability that other
processes fluctuate to 3 events or more is 1.7x10^-4. An upper limit on the
cross section of p+pbar --> p+gamma-gamma+pbar is set at 410 fb with 95%
confidence level.
| hep-ex | we have searched for exclusive 2photon production in protonantiproton collisions at sqrts 196 tev using 532pb of integrated luminosity taken by the run ii collider detector at fermilab the event signature requires two electromagnetic showers each with transverse energy e_t 5 gev and pseudorapidity eta10 with no other particles detected in the event three candidate events are observed we discuss the consistency of the three events with gammagamma pi0pi0 or etaeta production the probability that other processes fluctuate to 3 events or more is 17x104 an upper limit on the cross section of ppbar pgammagammapbar is set at 410 fb with 95 confidence level | [['we', 'have', 'searched', 'for', 'exclusive', '2photon', 'production', 'in', 'protonantiproton', 'collisions', 'at', 'sqrts', '196', 'tev', 'using', '532pb', 'of', 'integrated', 'luminosity', 'taken', 'by', 'the', 'run', 'ii', 'collider', 'detector', 'at', 'fermilab', 'the', 'event', 'signature', 'requires', 'two', 'electromagnetic', 'showers', 'each', 'with', 'transverse', 'energy', 'e_t', '5', 'gev', 'and', 'pseudorapidity', 'eta10', 'with', 'no', 'other', 'particles', 'detected', 'in', 'the', 'event', 'three', 'candidate', 'events', 'are', 'observed', 'we', 'discuss', 'the', 'consistency', 'of', 'the', 'three', 'events', 'with', 'gammagamma', 'pi0pi0', 'or', 'etaeta', 'production', 'the', 'probability', 'that', 'other', 'processes', 'fluctuate', 'to', '3', 'events', 'or', 'more', 'is', '17x104', 'an', 'upper', 'limit', 'on', 'the', 'cross', 'section', 'of', 'ppbar', 'pgammagammapbar', 'is', 'set', 'at', '410', 'fb', 'with', '95', 'confidence', 'level']] | [-0.07922418374344524, 0.23278404696625954, -0.0522703016313779, 0.15841539851709396, 0.004331714131266755, -0.11793253707754262, -0.006400625796659905, 0.38878671526361036, -0.12017383905328519, -0.36152930545858014, -0.014344348149903702, -0.44997970715128616, 0.14467882661733264, 0.15807722992601567, 0.13329873229011746, 0.09642750723287463, 0.166080306334348, 0.03949612117482021, 0.002601808268010762, -0.22802695246669008, 0.23379047650058626, 0.12241823667450351, 0.2179619673566491, 0.11327133303982954, 0.10129482051878072, 0.053659243388192765, -0.06012352018539483, -0.11375867496427222, -0.08403912596394565, 0.040763562091217634, 0.29581939588602196, 0.12304406373318759, 0.1037426336357991, -0.3312040567215459, -0.034363524584264005, 0.1764586020498445, 0.1352601421325851, -0.02622736453857072, -0.031881415576921715, -0.3379915890411711, 0.14181565820221223, -0.25644503050374196, -0.08655625351649873, 0.09332933120301687, 0.036059383567714806, -0.0714878302122302, -0.29418283997687933, 0.11216762139662809, -0.06648083849280488, 0.10110390603778582, 0.0037005777087281734, -0.20324298355034462, -0.10295615449556898, -0.06786945074632325, 0.07586641057723147, 0.05550800007339978, 0.21261956056981696, -0.11243067665468427, -0.2685514703374721, 0.32303791262172893, -0.02273492101926868, -0.11545729974978695, 0.2241322238993484, -0.25188477487558975, -0.1416947243611931, 0.24567862222993783, 0.2872112360546096, 0.030384005442279958, -0.26280283720652553, 0.07213051816820641, 0.05983678237808978, 0.17808444744578616, 0.13518435115852923, 0.07584179986117627, 0.20059441345488177, 0.21976029046573767, -0.010054340104426384, 0.040450661535621345, -0.2584597176173702, -0.00475152042310904, -0.47520185035525586, -0.07103906612952843, -0.0492342086759962, 0.056720674609167354, -0.037113942727206875, -0.031013116194848336, 0.32408510036675225, 0.10662492404819704, 0.33318447653094635, 0.029997499410848262, 0.2520186269368209, 0.1445122249072073, 0.04453223212604986, 0.11895317239866605, 0.3306851519372168, 0.06488291622714742, 0.15357289517608783, -0.13558708917459145, 0.04720336369549235, 0.007476135613579376] |
707.2375 | Pion Production by Protons on a Thin Beryllium Target at 6.4, 12.3, and
17.5 GeV/c Incident Proton Momenta | An analysis of inclusive pion production in proton-beryllium collisions at
6.4, 12.3, and 17.5 GeV/c proton beam momentum has been performed. The data
were taken by Experiment 910 at the Alternating Gradient Synchrotron at the
Brookhaven National Laboratory. The differential $\pi^+$ and $\pi^-$ production
cross sections ($d^2\sigma/dpd\Omega$) are measured up to 400 mRad in
$\theta_{\pi}$ and up to 6 GeV/c in $p_{\pi}$. The measured cross section is
fit with a Sanford-Wang parameterization.
| nucl-ex | an analysis of inclusive pion production in protonberyllium collisions at 64 123 and 175 gevc proton beam momentum has been performed the data were taken by experiment 910 at the alternating gradient synchrotron at the brookhaven national laboratory the differential pi and pi production cross sections d2sigmadpdomega are measured up to 400 mrad in theta_pi and up to 6 gevc in p_pi the measured cross section is fit with a sanfordwang parameterization | [['an', 'analysis', 'of', 'inclusive', 'pion', 'production', 'in', 'protonberyllium', 'collisions', 'at', '64', '123', 'and', '175', 'gevc', 'proton', 'beam', 'momentum', 'has', 'been', 'performed', 'the', 'data', 'were', 'taken', 'by', 'experiment', '910', 'at', 'the', 'alternating', 'gradient', 'synchrotron', 'at', 'the', 'brookhaven', 'national', 'laboratory', 'the', 'differential', 'pi', 'and', 'pi', 'production', 'cross', 'sections', 'd2sigmadpdomega', 'are', 'measured', 'up', 'to', '400', 'mrad', 'in', 'theta_pi', 'and', 'up', 'to', '6', 'gevc', 'in', 'p_pi', 'the', 'measured', 'cross', 'section', 'is', 'fit', 'with', 'a', 'sanfordwang', 'parameterization']] | [-0.017989471664519183, 0.2266767507770315, -0.11930528503975697, 0.07033657902086686, 0.052389044833502596, -0.09580190016339267, -0.0017837276416165489, 0.3842559483434473, -0.19328762771827834, -0.3642241521073239, -0.06684325692476704, -0.4579637450831277, 0.19464746705655542, 0.1953592203025307, 0.10514401870646647, 0.13235846181799257, 0.07408803682774305, -0.00044795723099793705, -0.03668721123997654, -0.19251391341843244, 0.21286961310875735, 0.16003392910518285, 0.2602233676040279, 0.17824317240821463, 0.12771438088966533, 0.04476720369420946, -0.08323039771556588, -0.09353526462135571, -0.12230168526626325, 0.014065907939220778, 0.3190098949475214, 0.005830116114313049, 0.0977653079267059, -0.3154128100456936, -0.00970689711560096, 0.07131362805542137, 0.10164403286762536, 0.003877160734763103, -0.029831691610161214, -0.2354322644748858, 0.12717758946652924, -0.2212626808322966, -0.14184337266321692, 0.0036659860584352696, 0.03228011535746711, -0.021994830618080285, -0.28731564276074223, 0.06335013253181906, -0.07849085169977375, 0.19351671168447604, -0.016188992653042078, -0.2603318661717432, -0.006061827822122723, -0.02339890361763537, 0.04809078223936792, 0.18330113125599123, 0.19812527220430118, -0.0343641850914407, -0.1560287150953497, 0.3694337210484913, -0.012975320353039674, -0.09912498047841446, 0.07772946739402999, -0.2699857205352081, -0.08123523110656866, 0.2805252924029316, 0.2562509160754936, 0.05601228646867509, -0.23149052053423866, 0.03282181456036467, -0.0008863278132464204, 0.19186893552541734, 0.2148220925525363, -0.11461118853517942, 0.09113218610041908, 0.18282251943102373, -0.05802223750257066, 0.012049631890840828, -0.22615729719400407, -0.0489674110298178, -0.3711288182863167, -0.10869093416258693, 0.02491807599685022, 0.10390500863515106, -0.00961865992222946, 0.06685805991292, 0.3096302866403546, 0.0002961789523916585, 0.28361234006338887, -0.0239163465531809, 0.3170937002237354, 0.08327450692054948, 0.10715067463627617, 0.07887566864623555, 0.3224264659785799, 0.19667733059530812, 0.23163396370198044, -0.19406460667960346, 0.005006122768723539, -0.03427150974914964] |
707.2376 | Tripartitions do not always discriminate phylogenetic networks | Phylogenetic networks are a generalization of phylogenetic trees that allow
for the representation of non-treelike evolutionary events, like recombination,
hybridization, or lateral gene transfer. In a recent series of papers devoted
to the study of reconstructibility of phylogenetic networks, Moret, Nakhleh,
Warnow and collaborators introduced the so-called {tripartition metric for
phylogenetic networks. In this paper we show that, in fact, this tripartition
metric does not satisfy the separation axiom of distances (zero distance means
isomorphism, or, in a more relaxed version, zero distance means
indistinguishability in some specific sense) in any of the subclasses of
phylogenetic networks where it is claimed to do so. We also present a subclass
of phylogenetic networks whose members can be singled out by means of their
sets of tripartitions (or even clusters), and hence where the latter can be
used to define a meaningful metric.
| q-bio.PE cs.CE cs.DM | phylogenetic networks are a generalization of phylogenetic trees that allow for the representation of nontreelike evolutionary events like recombination hybridization or lateral gene transfer in a recent series of papers devoted to the study of reconstructibility of phylogenetic networks moret nakhleh warnow and collaborators introduced the socalled tripartition metric for phylogenetic networks in this paper we show that in fact this tripartition metric does not satisfy the separation axiom of distances zero distance means isomorphism or in a more relaxed version zero distance means indistinguishability in some specific sense in any of the subclasses of phylogenetic networks where it is claimed to do so we also present a subclass of phylogenetic networks whose members can be singled out by means of their sets of tripartitions or even clusters and hence where the latter can be used to define a meaningful metric | [['phylogenetic', 'networks', 'are', 'a', 'generalization', 'of', 'phylogenetic', 'trees', 'that', 'allow', 'for', 'the', 'representation', 'of', 'nontreelike', 'evolutionary', 'events', 'like', 'recombination', 'hybridization', 'or', 'lateral', 'gene', 'transfer', 'in', 'a', 'recent', 'series', 'of', 'papers', 'devoted', 'to', 'the', 'study', 'of', 'reconstructibility', 'of', 'phylogenetic', 'networks', 'moret', 'nakhleh', 'warnow', 'and', 'collaborators', 'introduced', 'the', 'socalled', 'tripartition', 'metric', 'for', 'phylogenetic', 'networks', 'in', 'this', 'paper', 'we', 'show', 'that', 'in', 'fact', 'this', 'tripartition', 'metric', 'does', 'not', 'satisfy', 'the', 'separation', 'axiom', 'of', 'distances', 'zero', 'distance', 'means', 'isomorphism', 'or', 'in', 'a', 'more', 'relaxed', 'version', 'zero', 'distance', 'means', 'indistinguishability', 'in', 'some', 'specific', 'sense', 'in', 'any', 'of', 'the', 'subclasses', 'of', 'phylogenetic', 'networks', 'where', 'it', 'is', 'claimed', 'to', 'do', 'so', 'we', 'also', 'present', 'a', 'subclass', 'of', 'phylogenetic', 'networks', 'whose', 'members', 'can', 'be', 'singled', 'out', 'by', 'means', 'of', 'their', 'sets', 'of', 'tripartitions', 'or', 'even', 'clusters', 'and', 'hence', 'where', 'the', 'latter', 'can', 'be', 'used', 'to', 'define', 'a', 'meaningful', 'metric']] | [-0.1249171075414115, 0.09001069605166949, -0.08153425762089934, 0.12635574319457676, -0.08740613187907985, -0.12853450614646295, 0.06821534513788176, 0.37158635223325154, -0.2954237081219245, -0.27460552351957146, 0.04483748200335914, -0.25044260997950596, -0.20315979537893983, 0.13996786983041296, -0.09995365450090736, 0.014202273335226261, 0.13213405902939337, 0.05729560553857608, -0.025800283541087144, -0.2689443133349945, 0.37439975147237525, 0.06738568815898939, 0.24553854738355335, 0.021401265982783187, 0.08051585118510644, -0.018289465576165568, -0.04400596581059542, 0.10940950016752837, -0.1271114298929571, 0.14078954504131522, 0.29690000823746526, 0.21569465620130518, 0.2555166747774521, -0.3701844095068909, -0.21935703183938987, 0.19597195153444136, 0.16974109175689792, 0.11694581204359114, 0.02446972539452547, -0.26876834181076203, 0.10998256447432685, -0.1586468995949865, -0.06941405413196469, -0.06344774277731233, 0.020834948500468783, 0.02861649832470737, -0.21826166343487743, 0.06693055070609527, 0.09589618718401141, 0.05848746401494467, 0.009409355320016017, -0.10929626796095476, -0.0420664876060438, 0.1262518983303712, 0.01675388092399459, 0.037361636122239986, 0.04920575477142077, -0.07951902133501033, -0.15194727051544282, 0.3459004269246637, -0.015335816580693435, -0.2312846040645492, 0.19606988405958362, -0.10203727506386646, -0.20595774381169982, 0.05351840737309769, 0.14135974773076654, 0.15754856933486125, -0.21521190812906427, 0.061065461863015855, -0.01696537470404249, 0.13771784855528688, 0.12016786762384059, 0.02320192688328289, 0.20773098693929448, 0.13756064784434371, 0.09295574301789195, 0.11816432896192545, -0.03994721174240112, -0.08508888946125542, -0.22217106475175297, -0.1580841924823535, -0.1710024579533505, 0.09766003656225282, -0.10173658011408937, -0.2284448433108288, 0.35766488822163456, 0.12576341120380463, 0.20005948371491836, 0.10653861536963904, 0.19841992022999883, 0.02707976883746357, 0.1136401065737417, 0.06666123979541398, 0.19332540273283147, 0.15925761664551377, 0.04891289917779339, -0.12676975068238558, 0.12946360659391287, 0.07872704832209614] |
707.2377 | The Bright and the Dark Side of Malin 1 | Malin 1 has long been considered a prototype giant, dark matter dominated Low
Surface Brightness galaxy. Two recent studies, one based on a re-analysis of
VLA HI observations and the other on an archival Hubble I-band image, throw a
new light on this enigmatic galaxy and on its dark/luminous matter properties.
| astro-ph | malin 1 has long been considered a prototype giant dark matter dominated low surface brightness galaxy two recent studies one based on a reanalysis of vla hi observations and the other on an archival hubble iband image throw a new light on this enigmatic galaxy and on its darkluminous matter properties | [['malin', '1', 'has', 'long', 'been', 'considered', 'a', 'prototype', 'giant', 'dark', 'matter', 'dominated', 'low', 'surface', 'brightness', 'galaxy', 'two', 'recent', 'studies', 'one', 'based', 'on', 'a', 'reanalysis', 'of', 'vla', 'hi', 'observations', 'and', 'the', 'other', 'on', 'an', 'archival', 'hubble', 'iband', 'image', 'throw', 'a', 'new', 'light', 'on', 'this', 'enigmatic', 'galaxy', 'and', 'on', 'its', 'darkluminous', 'matter', 'properties']] | [-0.06707657827064395, 0.04952697029740175, -0.1735590217525468, 0.07895098956000499, -0.19537001346493615, -0.08790494813857709, -0.02462742373566417, 0.4346465655401641, -0.10139804216120027, -0.31359137306172474, 0.11730884091800772, -0.32129858039757786, -0.05457897175687785, 0.23210244524457, -0.05072491123185804, -0.005570624517870373, 0.06341223814981241, -0.08722278090449524, -0.03710549370403968, -0.32563508214319453, 0.2567208653279379, 0.034318845408658184, 0.18416954088937856, -0.0009018021325270335, 0.12341474811089974, -0.09415948450309682, -0.13868040295646472, -0.07100407928958827, -0.17933483348757612, 0.017676795358020886, 0.1637710253251534, 0.1340817354080797, 0.20589005693738513, -0.4089334825528603, -0.25127617967333277, 0.0541062536010263, 0.16651936112811752, 0.017406457879890997, -0.12029245544188455, -0.349884627140401, 0.0017359027389080867, -0.1917102242655614, -0.16237932624404922, 0.08091262988198329, 0.054537289337638545, -0.006475378156584852, -0.09876350755346756, 0.09594059873180573, -0.04247765255836295, 0.11437012041535448, -0.13160954554355248, -0.15764208448429903, 0.004583781420746271, 0.0014146110408154188, 0.028670185209051065, 0.10941967854787614, 0.16670850514635152, -0.2118722607025548, 0.00032997043693766873, 0.3774066377138975, -0.11763816003632896, 0.06002871341565076, 0.25020715711620073, -0.16747085083568214, -0.2630959016946601, 0.08338204841586012, 0.16600508233714922, 0.08985557531317075, -0.12773041226261972, 0.07323494200496569, -0.11002377838845931, 0.2659061600399368, 0.036138238166184986, 0.09518305028791028, 0.37900362751793626, 0.1951134170350783, 0.029471021319063855, 0.047356338825706834, -0.3088826508462137, 0.03763840535619095, -0.20513441150679307, -0.06853636971437464, -0.23233076696302377, 0.08758496962414652, -0.11042506066915653, -0.11838727297407448, 0.39839263802722974, 0.026181195168664642, 0.23351506929041124, -0.011727100439077499, 0.389829801359013, -0.01835515262449489, 0.09984038499019601, 0.04497773965418923, 0.33003374510536004, 0.16109743221279452, 0.08788494813237704, -0.2093402534933286, 0.021790813958254076, -0.018856772440759575] |
707.2378 | Trionic phase of ultracold fermions in an optical lattice: A variational
study | To investigate ultracold fermionic atoms of three internal states (colors) in
an optical lattice, subject to strong attractive interaction, we study the
attractive three-color Hubbard model in infinite dimensions by using a
variational approach. We find a quantum phase transition between a
weak-coupling superconducting phase and a strong-coupling trionic phase where
groups of three atoms are bound to a composite fermion. We show how the
Gutzwiller variational theory can be reformulated in terms of an effective
field theory with three-body interactions and how this effective field theory
can be solved exactly in infinite dimensions by using the methods of dynamical
mean field theory.
| cond-mat.supr-con cond-mat.str-el | to investigate ultracold fermionic atoms of three internal states colors in an optical lattice subject to strong attractive interaction we study the attractive threecolor hubbard model in infinite dimensions by using a variational approach we find a quantum phase transition between a weakcoupling superconducting phase and a strongcoupling trionic phase where groups of three atoms are bound to a composite fermion we show how the gutzwiller variational theory can be reformulated in terms of an effective field theory with threebody interactions and how this effective field theory can be solved exactly in infinite dimensions by using the methods of dynamical mean field theory | [['to', 'investigate', 'ultracold', 'fermionic', 'atoms', 'of', 'three', 'internal', 'states', 'colors', 'in', 'an', 'optical', 'lattice', 'subject', 'to', 'strong', 'attractive', 'interaction', 'we', 'study', 'the', 'attractive', 'threecolor', 'hubbard', 'model', 'in', 'infinite', 'dimensions', 'by', 'using', 'a', 'variational', 'approach', 'we', 'find', 'a', 'quantum', 'phase', 'transition', 'between', 'a', 'weakcoupling', 'superconducting', 'phase', 'and', 'a', 'strongcoupling', 'trionic', 'phase', 'where', 'groups', 'of', 'three', 'atoms', 'are', 'bound', 'to', 'a', 'composite', 'fermion', 'we', 'show', 'how', 'the', 'gutzwiller', 'variational', 'theory', 'can', 'be', 'reformulated', 'in', 'terms', 'of', 'an', 'effective', 'field', 'theory', 'with', 'threebody', 'interactions', 'and', 'how', 'this', 'effective', 'field', 'theory', 'can', 'be', 'solved', 'exactly', 'in', 'infinite', 'dimensions', 'by', 'using', 'the', 'methods', 'of', 'dynamical', 'mean', 'field', 'theory']] | [-0.13034086163580708, 0.25175658686033414, -0.10130787424085372, 0.08791782137219008, 0.008551670776372686, -0.16429679252284135, 0.07137081075631516, 0.3772218176389782, -0.23942256411447108, -0.2758669682407697, 0.002273469557533565, -0.2708614693538656, -0.17757952493157417, 0.08934081555344164, 0.03137622279955924, 0.022188345476413074, -0.009811723134616047, 0.028569993626290154, -0.12154109681983596, -0.2686497304584035, 0.29902165653003215, -0.0570591156997094, 0.241881794305247, 0.0971532811046786, 0.055995737347137, 0.03686839873219831, 0.12514995848669588, 0.07812275103682163, -0.13655262703112173, 0.11750988097741603, 0.2641603805033492, -0.02584678966335012, 0.24109225528477465, -0.4654323949469525, -0.25098896759010636, 0.07116114339357224, 0.19286961495894397, 0.1925198811296265, -0.029748521962212126, -0.32759672107663257, -0.03711578625172955, -0.22064089002901488, -0.16351650590167463, -0.13344747648185606, -0.028334465502869808, -0.026006067219163174, -0.27021820868537266, 0.08292481271285582, -0.008098131964871552, 0.09541110695312613, -0.07227027414138293, -0.05707758059499116, 0.03237029913478323, 0.05148499406132739, -0.005194772099307512, 0.05704680519874741, 0.06853532275067444, -0.17142955528219564, -0.1230772139721559, 0.39142470295061765, -0.1339392817694495, -0.17350568418002243, 0.1996674859959596, -0.07660220700397509, -0.09023666700113167, 0.09705534652418014, 0.14739375049700437, 0.09817972891394375, -0.17312448112818513, 0.15715383014808978, -0.05746473550109319, 0.17905544312738642, 0.004822666752287774, 0.05359440660375415, 0.22782912814212078, 0.1342974062104827, 0.031568581961746355, 0.19444719308453784, -0.043055621265135346, -0.1780576049078943, -0.27326934198731356, -0.1297462446082754, -0.21714347985220475, 0.03680566022199696, -0.09906454330951076, -0.17687239967404134, 0.36495790040590664, 0.1731952384286063, 0.1503907679534942, -0.036240601921182815, 0.24324218391608085, 0.1660334877398552, 0.027216952954174825, 0.028349846492982604, 0.26096836827442194, 0.17654121738126122, -0.01886674617100688, -0.28208325727779454, -0.09871330747869118, 0.15470949323504296] |
707.2379 | The Seesaw Mechanism in Quark-Lepton Complementarity | We systematically construct realistic mass matrices for the type-I seesaw
mechanism out of more than 20 trillion possibilities. We use only very generic
assumptions from extended quark-lepton complementarity, i.e., the leptonic
mixing angles between flavor and mass eigenstates are either maximal, or
parameterized by a single small quantity epsilon that is of the order of the
Cabibbo angle epsilon theta_C. The small quantity epsilon also describes all
fermion mass hierarchies. We show that special cases often considered in the
literature, such as having a symmetric Dirac mass matrix or small mixing among
charged leptons, constitute only a tiny fraction of our possibilities.
Moreover, we find that in most cases the spectrum of right-handed neutrino
masses is only mildly hierarchical. As a result, we provide for the charged
leptons and neutrinos a selected list of 1981 qualitatively different Yukawa
coupling matrices (or textures) that are parameterized by the Cabibbo angle and
allow for a perfect fit to current data. In addition, we also briefly show how
the textures could be generated in explicit models from flavor symmetries.
| hep-ph | we systematically construct realistic mass matrices for the typei seesaw mechanism out of more than 20 trillion possibilities we use only very generic assumptions from extended quarklepton complementarity ie the leptonic mixing angles between flavor and mass eigenstates are either maximal or parameterized by a single small quantity epsilon that is of the order of the cabibbo angle epsilon theta_c the small quantity epsilon also describes all fermion mass hierarchies we show that special cases often considered in the literature such as having a symmetric dirac mass matrix or small mixing among charged leptons constitute only a tiny fraction of our possibilities moreover we find that in most cases the spectrum of righthanded neutrino masses is only mildly hierarchical as a result we provide for the charged leptons and neutrinos a selected list of 1981 qualitatively different yukawa coupling matrices or textures that are parameterized by the cabibbo angle and allow for a perfect fit to current data in addition we also briefly show how the textures could be generated in explicit models from flavor symmetries | [['we', 'systematically', 'construct', 'realistic', 'mass', 'matrices', 'for', 'the', 'typei', 'seesaw', 'mechanism', 'out', 'of', 'more', 'than', '20', 'trillion', 'possibilities', 'we', 'use', 'only', 'very', 'generic', 'assumptions', 'from', 'extended', 'quarklepton', 'complementarity', 'ie', 'the', 'leptonic', 'mixing', 'angles', 'between', 'flavor', 'and', 'mass', 'eigenstates', 'are', 'either', 'maximal', 'or', 'parameterized', 'by', 'a', 'single', 'small', 'quantity', 'epsilon', 'that', 'is', 'of', 'the', 'order', 'of', 'the', 'cabibbo', 'angle', 'epsilon', 'theta_c', 'the', 'small', 'quantity', 'epsilon', 'also', 'describes', 'all', 'fermion', 'mass', 'hierarchies', 'we', 'show', 'that', 'special', 'cases', 'often', 'considered', 'in', 'the', 'literature', 'such', 'as', 'having', 'a', 'symmetric', 'dirac', 'mass', 'matrix', 'or', 'small', 'mixing', 'among', 'charged', 'leptons', 'constitute', 'only', 'a', 'tiny', 'fraction', 'of', 'our', 'possibilities', 'moreover', 'we', 'find', 'that', 'in', 'most', 'cases', 'the', 'spectrum', 'of', 'righthanded', 'neutrino', 'masses', 'is', 'only', 'mildly', 'hierarchical', 'as', 'a', 'result', 'we', 'provide', 'for', 'the', 'charged', 'leptons', 'and', 'neutrinos', 'a', 'selected', 'list', 'of', '1981', 'qualitatively', 'different', 'yukawa', 'coupling', 'matrices', 'or', 'textures', 'that', 'are', 'parameterized', 'by', 'the', 'cabibbo', 'angle', 'and', 'allow', 'for', 'a', 'perfect', 'fit', 'to', 'current', 'data', 'in', 'addition', 'we', 'also', 'briefly', 'show', 'how', 'the', 'textures', 'could', 'be', 'generated', 'in', 'explicit', 'models', 'from', 'flavor', 'symmetries']] | [-0.12331660670183324, 0.2543806272667346, 0.0320055754696527, 0.1430044654844096, -0.07335687996237539, -0.1915862103500827, 0.06730901469233107, 0.35473395795667206, -0.24180299928742566, -0.32878742609913886, 0.04904708957606503, -0.277299458583002, -0.09496889378219335, 0.1470984091746769, 0.02145490052234064, 0.013035030659177044, 0.0574553607273794, -0.0148481363786149, -0.11986598414792256, -0.1930730152393649, 0.33691705885576084, 0.01781801171124574, 0.18090268924887906, 0.04378702278534712, 0.07014614433402047, -0.05819151319817386, -0.015009163528289222, -0.023975404853713786, -0.09494974120306407, 0.02887891409045551, 0.18280577321169486, 0.09475166066443887, 0.11513488305023532, -0.35999503054931253, -0.13318437867961952, 0.15309127361979336, 0.1553914789097193, 0.11252075390339913, -0.10747439224732344, -0.25659291591198946, 0.09022430184202014, -0.22626130061160604, -0.15104409051656892, -0.09596104940679982, -0.01027486671492542, -0.06534152728801762, -0.3458609456323426, 0.1121063589998812, 0.004521661033240062, -0.031040137030438265, 0.017776092143321875, -0.19068697426700965, -0.04227457531934223, 0.07294985885197423, 0.1387202792181845, -0.05252280518669233, 0.09551871986662842, -0.14650928071139127, -0.09870132621819555, 0.42849563786082645, -0.04320224530610259, -0.24116319929850183, 0.14147390900259119, -0.1752830983869816, -0.1471547708656131, 0.09917279836174037, 0.1664897232549265, 0.12825078099426304, -0.16502899835574103, 0.1122833382095533, -0.14455350385237994, 0.1775599171014619, 0.08785956254525279, 0.02799537651034453, 0.2620601111980663, 0.1506095110856801, 0.06827574849673758, 0.031177679232231723, -0.06998839047578671, -0.06445001838966907, -0.33487981859996746, -0.10192263266402403, -0.13027360235057792, 0.08005068977284034, -0.1288401383840623, -0.12074752206469631, 0.42409059369343927, 0.12475971841062843, 0.23969231580055997, 0.041503388614563104, 0.2630933016546557, 0.04824753979152196, 0.0898289744549071, 0.060213673478839075, 0.2923177069592798, 0.11403559245677157, 0.06293527553829005, -0.19097375536247538, 0.039923364185431805, 0.06277736485671168] |
707.238 | Model of nanocrystal formation in solution by burst nucleation and
diffusional growth | The phenomenon of burst nucleation in solution, in which a period of apparent
chemical inactivity is followed by a sudden and explosive growth of nucleated
particles from a solute species, has been given a widely accepted qualitative
explanation by LaMer and co-workers. Here, we present a model with the
assumptions of instantaneous thermalization below the critical nucleus size and
irreversible diffusive growth above the critical size, which for the first time
formulates LaMer's explanation of burst nucleation in a manner allowing
quantitative calculations. The behavior of the model at large times is derived,
with the result that the average cluster size, as measured by the number of
atoms, grows linearly with time, while the width of the cluster distribution
grows as the square root of time. We develop an effective numerical scheme to
integrate the equations of the model and compare the asymptotic expressions to
results from numerical simulation. Finally, we discuss the physical effects
which cause real nucleation processes in solution to deviate from the behavior
of the model.
| cond-mat.soft cond-mat.mtrl-sci cond-mat.stat-mech | the phenomenon of burst nucleation in solution in which a period of apparent chemical inactivity is followed by a sudden and explosive growth of nucleated particles from a solute species has been given a widely accepted qualitative explanation by lamer and coworkers here we present a model with the assumptions of instantaneous thermalization below the critical nucleus size and irreversible diffusive growth above the critical size which for the first time formulates lamers explanation of burst nucleation in a manner allowing quantitative calculations the behavior of the model at large times is derived with the result that the average cluster size as measured by the number of atoms grows linearly with time while the width of the cluster distribution grows as the square root of time we develop an effective numerical scheme to integrate the equations of the model and compare the asymptotic expressions to results from numerical simulation finally we discuss the physical effects which cause real nucleation processes in solution to deviate from the behavior of the model | [['the', 'phenomenon', 'of', 'burst', 'nucleation', 'in', 'solution', 'in', 'which', 'a', 'period', 'of', 'apparent', 'chemical', 'inactivity', 'is', 'followed', 'by', 'a', 'sudden', 'and', 'explosive', 'growth', 'of', 'nucleated', 'particles', 'from', 'a', 'solute', 'species', 'has', 'been', 'given', 'a', 'widely', 'accepted', 'qualitative', 'explanation', 'by', 'lamer', 'and', 'coworkers', 'here', 'we', 'present', 'a', 'model', 'with', 'the', 'assumptions', 'of', 'instantaneous', 'thermalization', 'below', 'the', 'critical', 'nucleus', 'size', 'and', 'irreversible', 'diffusive', 'growth', 'above', 'the', 'critical', 'size', 'which', 'for', 'the', 'first', 'time', 'formulates', 'lamers', 'explanation', 'of', 'burst', 'nucleation', 'in', 'a', 'manner', 'allowing', 'quantitative', 'calculations', 'the', 'behavior', 'of', 'the', 'model', 'at', 'large', 'times', 'is', 'derived', 'with', 'the', 'result', 'that', 'the', 'average', 'cluster', 'size', 'as', 'measured', 'by', 'the', 'number', 'of', 'atoms', 'grows', 'linearly', 'with', 'time', 'while', 'the', 'width', 'of', 'the', 'cluster', 'distribution', 'grows', 'as', 'the', 'square', 'root', 'of', 'time', 'we', 'develop', 'an', 'effective', 'numerical', 'scheme', 'to', 'integrate', 'the', 'equations', 'of', 'the', 'model', 'and', 'compare', 'the', 'asymptotic', 'expressions', 'to', 'results', 'from', 'numerical', 'simulation', 'finally', 'we', 'discuss', 'the', 'physical', 'effects', 'which', 'cause', 'real', 'nucleation', 'processes', 'in', 'solution', 'to', 'deviate', 'from', 'the', 'behavior', 'of', 'the', 'model']] | [-0.0819649185059515, 0.14884900840727086, -0.10783568946865095, 0.03648197193652083, -0.009758945254157105, -0.09611667336664609, 0.08443220662774198, 0.31694022532464305, -0.25134526166139093, -0.31864666071659803, 0.08024736568497041, -0.27321562410701483, -0.1307578145157127, 0.17264067437141561, 0.006103368636534808, 0.03283282148117233, 0.015293224327563798, 0.04283033850046217, -0.0393163268413042, -0.22310681221180062, 0.2745400287924588, 0.10266490643186159, 0.28218418730356726, 0.04966991979387877, 0.08760983439041137, -0.0333553271494894, -0.008696763912979072, 0.02707052686576836, -0.17860858400991034, 0.04189299219894118, 0.17484246947135798, 0.09966040795707536, 0.2578562915699898, -0.4477278001209688, -0.22122562841802268, 0.0858978738556423, 0.16773577641589654, 0.14532842398579812, -0.059132484231452793, -0.237480714726372, 0.06170716875139073, -0.16581596022736303, -0.19238866707016888, 0.013937133708803435, 0.07039513279265068, 0.054151762029247014, -0.25430754326923183, 0.1449731633750124, 0.03805982301110876, 0.051328361302656576, -0.09720323604294623, -0.06856047577147521, -0.011531955545999594, 0.0983697985210759, 0.09199204425790386, 0.002813331028529217, 0.14125316673008032, -0.12045348818088777, -0.10634790734145459, 0.3807874901672087, -0.0693256187975302, -0.11056347851551582, 0.191697681938524, -0.16750307512585316, -0.07510541058310786, 0.1673872050796167, 0.16111017228793023, 0.09475039396319296, -0.13764649937645748, 0.038992439723193384, -0.016843748699113197, 0.1661583989329592, 0.040648051901285114, -0.005989097113880885, 0.1755281154689043, 0.23214398874672537, 0.013683371114979923, 0.1429127027265474, -0.09279098527742957, -0.1404895216375369, -0.3151482318213882, -0.13814969805410937, -0.17599806884756952, 0.061322735636302174, -0.1194234070414264, -0.16779450418912537, 0.3633771370235958, 0.15070422969933478, 0.23681102110590985, 0.07993460309584267, 0.2575217506561715, 0.1322052120244869, 0.06203486176578606, 0.05987680593736955, 0.21278342300717382, 0.11673050759547561, 0.109588409317988, -0.25859722232076854, 0.13583315906566762, 0.05836897124618997] |
707.2381 | AC Josephson properties of phase slip lines in wide tin films | Current steps in the current-voltage characteristics of wide superconducting
Sn films exposed to a microwave irradiation were observed in the resistive
state with phase slip lines. The behaviour of the magnitude of the steps on the
applied irradiation power was found to be similar to that for the current steps
in narrow superconducting channels with phase slip centers and, to some extent,
for the Shapiro steps in Josephson junctions. This provides evidence for the
Josephson properties of the phase slip lines in wide superconducting films and
supports the assumption about similarity between the processes of phase slip in
wide and narrow films.
| cond-mat.supr-con | current steps in the currentvoltage characteristics of wide superconducting sn films exposed to a microwave irradiation were observed in the resistive state with phase slip lines the behaviour of the magnitude of the steps on the applied irradiation power was found to be similar to that for the current steps in narrow superconducting channels with phase slip centers and to some extent for the shapiro steps in josephson junctions this provides evidence for the josephson properties of the phase slip lines in wide superconducting films and supports the assumption about similarity between the processes of phase slip in wide and narrow films | [['current', 'steps', 'in', 'the', 'currentvoltage', 'characteristics', 'of', 'wide', 'superconducting', 'sn', 'films', 'exposed', 'to', 'a', 'microwave', 'irradiation', 'were', 'observed', 'in', 'the', 'resistive', 'state', 'with', 'phase', 'slip', 'lines', 'the', 'behaviour', 'of', 'the', 'magnitude', 'of', 'the', 'steps', 'on', 'the', 'applied', 'irradiation', 'power', 'was', 'found', 'to', 'be', 'similar', 'to', 'that', 'for', 'the', 'current', 'steps', 'in', 'narrow', 'superconducting', 'channels', 'with', 'phase', 'slip', 'centers', 'and', 'to', 'some', 'extent', 'for', 'the', 'shapiro', 'steps', 'in', 'josephson', 'junctions', 'this', 'provides', 'evidence', 'for', 'the', 'josephson', 'properties', 'of', 'the', 'phase', 'slip', 'lines', 'in', 'wide', 'superconducting', 'films', 'and', 'supports', 'the', 'assumption', 'about', 'similarity', 'between', 'the', 'processes', 'of', 'phase', 'slip', 'in', 'wide', 'and', 'narrow', 'films']] | [-0.18485427461336276, 0.1549184993365962, -0.03489130171125426, -0.04161769014386022, -0.02663780314226945, -0.14431672746443427, 0.08298615469852937, 0.42559580373413425, -0.20624477482017348, -0.29686991150910946, 0.023947130690109644, -0.2683010277904424, -0.037169049484837874, 0.23777060270966852, -0.009831524572755192, 0.0776335755545719, -0.014610025374328388, -0.0919557783442239, -0.0917492341113222, -0.2053630223255787, 0.2922701317652622, 0.007602549568914315, 0.35941732214654193, 0.06828329681108396, 0.016295942330650764, -0.08121712086722255, 0.09575494074755732, 0.028307968376240895, -0.16041441940436854, -0.039299522576780585, 0.2853361369252168, -0.042856977056419734, 0.15107518019994684, -0.49919505461173896, -0.24166352832324656, 0.056045888977892255, 0.12534071575375458, 0.11033363902813517, -0.02263602380316668, -0.2907209403849408, 0.06271649314565401, -0.06442553080691427, -0.08497754803073465, 0.020595962619956804, 0.05199079524141317, 0.06657305851980459, -0.22143684667261207, 0.05436232874133423, 0.050663184697566296, 0.10048374178472395, -0.03536191299630731, -0.06368340802830919, -0.015344891975652062, 0.053531589863054896, 0.037327658010683225, 0.006463132060233357, 0.16226161189158173, -0.13756442196805152, -0.06784708387054064, 0.301189216072945, -0.03173020011380169, -0.05470731785046119, 0.1653552631317985, -0.17468511195415082, -0.06745112209361703, 0.19863623444118775, 0.10187792588098377, 0.06231693067934876, -0.15771463359066962, -0.015194760166980582, 0.06505829572458477, 0.1982481925994815, 0.08443514277528533, 0.053529348407013747, 0.2431766735526788, 0.2298714132230802, 0.025884184570910008, 0.1544050065225319, -0.17543731493574075, -0.058645316787684955, -0.3011165271403597, -0.1950600008051112, -0.1346154006280224, 0.034839129559330495, -0.08661777297832077, -0.21844461761122824, 0.44755608698481, 0.1848505868886908, 0.21221439516646604, -0.04392834495543046, 0.25803583659523843, 0.09009055158707734, 0.1173129555787526, 0.004678897121373345, 0.2634635021623028, 0.20028707614469834, 0.1985301513580934, -0.2719745422969116, 0.134098939081727, -0.020741696743404165] |
707.2382 | Evidence for a Long-Standing Top-Heavy IMF in the Central Parsec of the
Galaxy | We classify 329 late-type giants within 1 parsec of Sgr A*, using the
adaptive optics integral field spectrometer SINFONI on the VLT. These
observations represent the deepest spectroscopic data set so far obtained for
the Galactic Center, reaching a 50% completeness threshold at the approximate
magnitude of the helium-burning red clump (Ks ~ 15.5 mag.). Combining our
spectroscopic results with NaCo H and Ks photometry, we construct an observed
Hertzsprung-Russell diagram, which we quantitatively compare to theoretical
distributions of various star formation histories of the inner Galaxy, using a
chi-squared analysis. Our best-fit model corresponds to continuous star
formation over the last 12 Gyr with a top-heavy initial mass function (IMF).
The similarity of this IMF to the IMF observed for the most recent epoch of
star formation is intriguing and perhaps suggests a connection between recent
star formation and the stars formed throughout the history of the Galactic
Center.
| astro-ph | we classify 329 latetype giants within 1 parsec of sgr a using the adaptive optics integral field spectrometer sinfoni on the vlt these observations represent the deepest spectroscopic data set so far obtained for the galactic center reaching a 50 completeness threshold at the approximate magnitude of the heliumburning red clump ks 155 mag combining our spectroscopic results with naco h and ks photometry we construct an observed hertzsprungrussell diagram which we quantitatively compare to theoretical distributions of various star formation histories of the inner galaxy using a chisquared analysis our bestfit model corresponds to continuous star formation over the last 12 gyr with a topheavy initial mass function imf the similarity of this imf to the imf observed for the most recent epoch of star formation is intriguing and perhaps suggests a connection between recent star formation and the stars formed throughout the history of the galactic center | [['we', 'classify', '329', 'latetype', 'giants', 'within', '1', 'parsec', 'of', 'sgr', 'a', 'using', 'the', 'adaptive', 'optics', 'integral', 'field', 'spectrometer', 'sinfoni', 'on', 'the', 'vlt', 'these', 'observations', 'represent', 'the', 'deepest', 'spectroscopic', 'data', 'set', 'so', 'far', 'obtained', 'for', 'the', 'galactic', 'center', 'reaching', 'a', '50', 'completeness', 'threshold', 'at', 'the', 'approximate', 'magnitude', 'of', 'the', 'heliumburning', 'red', 'clump', 'ks', '155', 'mag', 'combining', 'our', 'spectroscopic', 'results', 'with', 'naco', 'h', 'and', 'ks', 'photometry', 'we', 'construct', 'an', 'observed', 'hertzsprungrussell', 'diagram', 'which', 'we', 'quantitatively', 'compare', 'to', 'theoretical', 'distributions', 'of', 'various', 'star', 'formation', 'histories', 'of', 'the', 'inner', 'galaxy', 'using', 'a', 'chisquared', 'analysis', 'our', 'bestfit', 'model', 'corresponds', 'to', 'continuous', 'star', 'formation', 'over', 'the', 'last', '12', 'gyr', 'with', 'a', 'topheavy', 'initial', 'mass', 'function', 'imf', 'the', 'similarity', 'of', 'this', 'imf', 'to', 'the', 'imf', 'observed', 'for', 'the', 'most', 'recent', 'epoch', 'of', 'star', 'formation', 'is', 'intriguing', 'and', 'perhaps', 'suggests', 'a', 'connection', 'between', 'recent', 'star', 'formation', 'and', 'the', 'stars', 'formed', 'throughout', 'the', 'history', 'of', 'the', 'galactic', 'center']] | [-0.02514707708759421, 0.06098000515158985, -0.1301608296648768, 0.09468854233722558, -0.12996360765232537, -0.025858410040304165, 0.08428848834220795, 0.42943414198172175, -0.15998581626011846, -0.3705465840300758, 0.0314607084697525, -0.2688433617828476, -0.005789603919240853, 0.18144057210903589, -0.03698315338939491, -0.017056534909830747, 0.13275549648604637, -0.06076704025043537, -0.05897572878498159, -0.30379150092489265, 0.28908974700138573, 0.06440848053351744, 0.1314627419807167, -0.07898128915253101, 0.0574901662573559, -0.08077255329710975, -0.08552890189067029, -0.07660905834624931, -0.24050353492466395, 0.03921398221696383, 0.22139244239727324, 0.152602892190893, 0.25012014508747415, -0.31599169146994616, -0.17369448975503646, 0.029173939207165607, 0.18841582136509952, 0.008459786072704666, -0.09117827668782924, -0.2699550355147045, 0.059752561538730244, -0.17539237529170643, -0.1912611691006178, 0.0966503526187258, 0.06003664109008949, 0.004774253255993928, -0.2538231731823727, 0.12939277234027824, -0.03101857264069903, 0.13074214117063973, -0.16867167522975293, -0.12139229617087834, -0.08355202482335095, 0.07416621226842371, -0.038646984472714564, 0.1499616039929374, 0.1634007725058336, -0.13442621960917225, -0.024884623912125575, 0.3493555296968744, -0.07987879304802858, 0.06569291465453203, 0.2173858104108039, -0.24087200224424568, -0.21207646546172815, 0.09327283420388262, 0.10447890659631699, 0.13227867870122795, -0.1600667531211429, 0.01131047260511554, -0.018825190212115046, 0.2015419153109093, 0.07144783571168731, 0.025416633134630457, 0.3428719083234768, 0.16587613468627202, 0.018309989084658407, 0.08460776039224192, -0.2757796462228359, -0.11473129334978309, -0.24438693500030162, -0.058051184676087546, -0.13026145402179568, 0.09083711839243519, -0.17521906745021978, -0.11881277038271995, 0.35334774236145566, 0.10500205780892014, 0.2529668995810535, 0.07524887516847718, 0.28712877551806254, 0.07919370668759372, 0.122498722942296, 0.10002488550306579, 0.32333959289045144, 0.22817056872975705, 0.09491330902357804, -0.24411876431210028, 0.04690350180932464, 0.006788534006016367] |
707.2383 | Superfluid-insulator transitions of the Fermi gas with near-unitary
interactions in a periodic potential | We consider spin-1/2 fermions of mass m with interactions near the unitary
limit. In an applied periodic potential of amplitude V and period a, and with a
density of an even integer number of fermions per unit cell, there is a
second-order quantum phase transition between superfluid and insulating ground
states at a critical V=Vc. We compute the universal ratio Vc m a^2 / h^2 at
N=infinity in a model with Sp(2N) spin symmetry. The insulator interpolates
between a band insulator of fermions and a Mott insulator of fermion pairs. We
discuss implications for recent experiments.
| cond-mat.supr-con cond-mat.str-el | we consider spin12 fermions of mass m with interactions near the unitary limit in an applied periodic potential of amplitude v and period a and with a density of an even integer number of fermions per unit cell there is a secondorder quantum phase transition between superfluid and insulating ground states at a critical vvc we compute the universal ratio vc m a2 h2 at ninfinity in a model with sp2n spin symmetry the insulator interpolates between a band insulator of fermions and a mott insulator of fermion pairs we discuss implications for recent experiments | [['we', 'consider', 'spin12', 'fermions', 'of', 'mass', 'm', 'with', 'interactions', 'near', 'the', 'unitary', 'limit', 'in', 'an', 'applied', 'periodic', 'potential', 'of', 'amplitude', 'v', 'and', 'period', 'a', 'and', 'with', 'a', 'density', 'of', 'an', 'even', 'integer', 'number', 'of', 'fermions', 'per', 'unit', 'cell', 'there', 'is', 'a', 'secondorder', 'quantum', 'phase', 'transition', 'between', 'superfluid', 'and', 'insulating', 'ground', 'states', 'at', 'a', 'critical', 'vvc', 'we', 'compute', 'the', 'universal', 'ratio', 'vc', 'm', 'a2', 'h2', 'at', 'ninfinity', 'in', 'a', 'model', 'with', 'sp2n', 'spin', 'symmetry', 'the', 'insulator', 'interpolates', 'between', 'a', 'band', 'insulator', 'of', 'fermions', 'and', 'a', 'mott', 'insulator', 'of', 'fermion', 'pairs', 'we', 'discuss', 'implications', 'for', 'recent', 'experiments']] | [-0.22721257810725978, 0.25769899027011556, -0.01278634986558341, 0.022902897173097653, 0.02559954024802305, -0.19806594849122983, 0.11103229874156807, 0.3518955253652836, -0.18979802074302968, -0.24706859129088882, 0.004357972939645773, -0.33964839451211065, -0.12347989841119239, 0.11885600983361272, 0.03676307183249216, 0.03948997512067619, -0.02394814897622717, 0.04052772567068276, -0.16915520163203931, -0.20360285983126808, 0.3127136893472389, -0.06428012159824567, 0.2414918012769991, 0.07399345886844554, 0.07275627437782915, 0.0038777874120952266, 0.1435943275478693, -0.03801323900391397, -0.1547393120139053, 0.035353102257450746, 0.22180257668522627, -0.08185393883797683, 0.1798751138542828, -0.4087971640456664, -0.15919044020242598, 0.09378670750823068, 0.11564673623560291, 0.09719424052654128, -0.0841365867441422, -0.2961173518217708, 0.01603444200744362, -0.21750961450957937, -0.15439757914527466, -0.05377902034179945, 0.06278285967480195, -0.06634746735278321, -0.3048957268854505, 0.09355091922916473, 0.01962811748350137, 0.10006411541988583, -0.06427006827863424, -0.10817881236343008, -0.07034819547675158, 0.08029400367093714, 0.021538277999743036, 0.08444548257577576, 0.0747390431364214, -0.16866753396002185, -0.12331906551262364, 0.3891831976214522, -0.11371200295459283, -0.1388548160560037, 0.1895054250220327, -0.17483269851654767, -0.09852350738487746, 0.12014541677689473, 0.10958236819378248, 0.06989441834096062, -0.031421678238793424, 0.14707138017555207, -0.08166077848352296, 0.20770234676372062, 0.016195695687967696, 0.04786007337419218, 0.3191376557402117, 0.17231621416775803, 0.08232478818758146, 0.14720210035968767, -0.11406876017878714, -0.0696110038037755, -0.28341242056339977, -0.20888759855573114, -0.2522284990948576, 0.06199544988278496, -0.06997858734348004, -0.16072473676973267, 0.390752510902913, 0.10947971279291731, 0.22494490910321474, 0.018540716916322707, 0.1915868466058256, 0.14214365584285635, 0.03625405054787591, 0.06350696296553666, 0.18131520162385545, 0.18612604523077608, 0.08439109971942871, -0.2633494605996499, -0.08259519362993735, 0.11440182551986684] |
707.2384 | Optical properties of 4 A single-walled carbon nanotubes inside the
zeolite channels studied from first principles calculations | The structural, electronic, and optical properties of 4 A single-walled
carbon nanotubes (SWNTs) contained inside the zeolite channels have been
studied based upon the density-functional theory in the local-density
approximation (LDA). Our calculated results indicate that the relaxed
geometrical structures for the smallest SWNTs in the zeolite channels are much
different from those of the ideal isolated SWNTs, producing a great effect on
their physical properties. It is found that all three kinds of 4 A SWNTs can
possibly exist inside the Zeolite channels. Especially, as an example, we have
also studied the coupling effect between the ALPO_4-5 zeolite and the tube
(5,0) inside it, and found that the zeolite has real effects on the electronic
structure and optical properties of the inside (5,0) tube.
| cond-mat.mtrl-sci | the structural electronic and optical properties of 4 a singlewalled carbon nanotubes swnts contained inside the zeolite channels have been studied based upon the densityfunctional theory in the localdensity approximation lda our calculated results indicate that the relaxed geometrical structures for the smallest swnts in the zeolite channels are much different from those of the ideal isolated swnts producing a great effect on their physical properties it is found that all three kinds of 4 a swnts can possibly exist inside the zeolite channels especially as an example we have also studied the coupling effect between the alpo_45 zeolite and the tube 50 inside it and found that the zeolite has real effects on the electronic structure and optical properties of the inside 50 tube | [['the', 'structural', 'electronic', 'and', 'optical', 'properties', 'of', '4', 'a', 'singlewalled', 'carbon', 'nanotubes', 'swnts', 'contained', 'inside', 'the', 'zeolite', 'channels', 'have', 'been', 'studied', 'based', 'upon', 'the', 'densityfunctional', 'theory', 'in', 'the', 'localdensity', 'approximation', 'lda', 'our', 'calculated', 'results', 'indicate', 'that', 'the', 'relaxed', 'geometrical', 'structures', 'for', 'the', 'smallest', 'swnts', 'in', 'the', 'zeolite', 'channels', 'are', 'much', 'different', 'from', 'those', 'of', 'the', 'ideal', 'isolated', 'swnts', 'producing', 'a', 'great', 'effect', 'on', 'their', 'physical', 'properties', 'it', 'is', 'found', 'that', 'all', 'three', 'kinds', 'of', '4', 'a', 'swnts', 'can', 'possibly', 'exist', 'inside', 'the', 'zeolite', 'channels', 'especially', 'as', 'an', 'example', 'we', 'have', 'also', 'studied', 'the', 'coupling', 'effect', 'between', 'the', 'alpo_45', 'zeolite', 'and', 'the', 'tube', '50', 'inside', 'it', 'and', 'found', 'that', 'the', 'zeolite', 'has', 'real', 'effects', 'on', 'the', 'electronic', 'structure', 'and', 'optical', 'properties', 'of', 'the', 'inside', '50', 'tube']] | [-0.09196831936001658, 0.12293838287411246, -0.05010902746430328, 0.018372069357992, 0.0330300107917508, -0.10362952163127521, 0.0498636559941881, 0.4599984001458412, -0.24871457832294605, -0.2716218052251685, 0.062045038179231564, -0.31534336876845165, -0.15308841357510838, 0.16924790389490343, 0.05274672336095283, 0.017187191656933377, 0.048989071618698, 0.00827034908316789, -0.05195524444195231, -0.2041518656075031, 0.2370434745342561, 0.027480884177249768, 0.3127236125311033, 0.12841460598452437, 0.036432101286106536, -0.006246057192554637, 0.05973658166194876, 0.07032328718642314, -0.13995647751025606, 0.12461299068977937, 0.20928705382656546, -0.005107560497333085, 0.22469166462166956, -0.49510699253709567, -0.26026295246030656, 0.03431663442883761, 0.11788556564434041, 0.09711413976976709, -0.04149280009873872, -0.2405985976914845, 0.12005359990402095, -0.1409118970257095, -0.0995157232675645, -0.01867162705128712, 0.029696800374245692, 0.028100628901513353, -0.17392365134841267, 0.05028262365428213, 0.04151438627365766, 0.0669984356349995, -0.11720141834737133, -0.18672871757148496, -0.057439791149414714, 0.1044511281990356, 0.016568012706439702, -0.049360326772946266, 0.22044568818302884, -0.09732355260770888, -0.07548688294651408, 0.41836644177355115, -0.024282759213219245, -0.1650866350429433, 0.20405947996280907, -0.12055847985527268, -0.05878668951411401, 0.17980061554830643, 0.10330308376785158, 0.10985229762210962, -0.1795071881501973, 0.06569042082147432, -0.05978481615743329, 0.14952916683602868, 0.10189461070037778, 0.11378751068391026, 0.19902057627135242, 0.1775609749489494, -0.03829997467372807, 0.14195730366496248, -0.11301404460438437, -0.059915472141226694, -0.20672819330807654, -0.17433157208330569, -0.16260415222026378, 0.0482928066950051, -0.08065392245724422, -0.21251960446017854, 0.39473370594843743, 0.06043284055551574, 0.16357884527514538, -0.052858182290125816, 0.24869376405859517, 0.026910667108642237, 0.13695229227737254, 0.028255211440996537, 0.2862958116982613, 0.20053508569065842, 0.06196908270865078, -0.2391018402183451, 0.07046309768432571, -0.03049839282363293] |
707.2385 | Ridge Structure associated with the Near-Side Jet in the (Delta
phi)-(Delta eta) Correlation | In the (Delta phi)-(Delta eta) correlation associated with a near-side jet
observed by the STAR Collaboration in heavy-ion collisions at RHIC [Ref. 1-6],
the ridge structure can be explained by the momentum kick model in which the
ridge particles are identified as medium partons which suffer a collision with
the jet and acquire a momentum kick along the jet direction. If this is indeed
the correct mechanism, the ridge structure associated with the near-side jet
may be used to probe the parton momentum distribution at the moment of the
jet-parton collision, leading to the result that at that instant the parton
temperature is slightly higher and the rapidity width substantially greater
than corresponding quantities of their evolution product inclusive particles at
the end point of the nucleus-nucleus collision.
| hep-ph nucl-th | in the delta phidelta eta correlation associated with a nearside jet observed by the star collaboration in heavyion collisions at rhic ref 16 the ridge structure can be explained by the momentum kick model in which the ridge particles are identified as medium partons which suffer a collision with the jet and acquire a momentum kick along the jet direction if this is indeed the correct mechanism the ridge structure associated with the nearside jet may be used to probe the parton momentum distribution at the moment of the jetparton collision leading to the result that at that instant the parton temperature is slightly higher and the rapidity width substantially greater than corresponding quantities of their evolution product inclusive particles at the end point of the nucleusnucleus collision | [['in', 'the', 'delta', 'phidelta', 'eta', 'correlation', 'associated', 'with', 'a', 'nearside', 'jet', 'observed', 'by', 'the', 'star', 'collaboration', 'in', 'heavyion', 'collisions', 'at', 'rhic', 'ref', '16', 'the', 'ridge', 'structure', 'can', 'be', 'explained', 'by', 'the', 'momentum', 'kick', 'model', 'in', 'which', 'the', 'ridge', 'particles', 'are', 'identified', 'as', 'medium', 'partons', 'which', 'suffer', 'a', 'collision', 'with', 'the', 'jet', 'and', 'acquire', 'a', 'momentum', 'kick', 'along', 'the', 'jet', 'direction', 'if', 'this', 'is', 'indeed', 'the', 'correct', 'mechanism', 'the', 'ridge', 'structure', 'associated', 'with', 'the', 'nearside', 'jet', 'may', 'be', 'used', 'to', 'probe', 'the', 'parton', 'momentum', 'distribution', 'at', 'the', 'moment', 'of', 'the', 'jetparton', 'collision', 'leading', 'to', 'the', 'result', 'that', 'at', 'that', 'instant', 'the', 'parton', 'temperature', 'is', 'slightly', 'higher', 'and', 'the', 'rapidity', 'width', 'substantially', 'greater', 'than', 'corresponding', 'quantities', 'of', 'their', 'evolution', 'product', 'inclusive', 'particles', 'at', 'the', 'end', 'point', 'of', 'the', 'nucleusnucleus', 'collision']] | [-0.07497518705349648, 0.22803002429554908, -0.1956111536565004, 0.12452960458267626, -0.04498828876239713, -0.06449300013991888, -0.06926432710451991, 0.39271711754554417, -0.25228531030006707, -0.264916968124453, -0.01624359081961302, -0.3000746354846342, 0.06906533623805444, 0.10175818635434553, 0.06755754343612352, 0.03304605913217529, 0.10828224110264273, 0.033853536642709514, -0.0516539901982469, -0.15245104946370702, 0.36012784028389433, 0.1576643741573207, 0.1960814204721828, 0.11820089424145408, 0.08587618493038462, 0.034486278982512886, -0.012387981367282919, 0.015735695913463132, -0.10002546983434968, 0.028723565518021132, 0.213709246731014, 0.01833376573813439, 0.17398967304143298, -0.3484795812109951, -0.1524203492244851, 0.05955077612088644, 0.18165345264060306, 0.050985029027287965, -0.021094588526466396, -0.24067879901849665, 0.07437179556654883, -0.26917634170968086, -0.21291276985721197, 0.02177996828686446, -0.0023658711379539454, 0.03692330980265979, -0.26939965715882863, 0.14772633113898337, 0.023636279478523647, 0.006976612683502026, 0.014299192811449757, -0.15780942366473028, -0.11864400608465075, 0.004757224580316688, 0.10503451887325355, 0.1648731685927487, 0.1897795803815825, -0.17152815594954518, -0.13694711826565253, 0.3920088284976373, 0.02840069324736305, -0.14878860964381602, 0.17175133434511736, -0.26192439739315887, -0.09814002402708866, 0.20090312351385364, 0.22928913182477118, 0.07250145080206494, -0.15733587386512227, -0.02130748788931669, -0.01838631161444937, 0.13756226340888134, 0.11979212538062711, 0.04949329523878987, 0.21835645840337747, 0.12497819110649289, 0.018429385127092246, 0.07523613654848305, -0.1576540320611457, -0.09412061375405756, -0.36144822481946903, -0.09581131982486113, -0.1531244537763996, 0.028720371858071303, -0.12522019010862095, -0.06271058147831354, 0.36981075117364526, 0.08589868373837817, 0.31818629791087005, -0.014494666436803527, 0.2866310028475709, 0.139157235537823, 0.10851451814050961, 0.1540895055495639, 0.28696101210516645, 0.14670711343751464, 0.20713182079271064, -0.2551434189081192, 0.13135118521677214, 0.05560922664881218] |
707.2386 | Ferromagnetism of an all-carbon composite composed of a carbon nanowire
nside a single-walled carbon nanotube | Using the first-principles spin density functional approach, we have studied
magnetism of a new type of all-carbon nanomaterials, i.e., the carbon nanowires
inserted into the single-walled carbon nanotubes. It is found that if the 1D
carbon nanowire density is not too higher, the ferromagnetic ground state will
be more stable than the antiferromagnetic one, which is caused by weak coupling
between the 1D carbon nanowire and the single-walled carbon nanotube. Also,
both dimerization of the carbon nanowire and carbon vacancy on the tube-wall
are found to enhance the magnetic moment of the composite.
| cond-mat.mtrl-sci | using the firstprinciples spin density functional approach we have studied magnetism of a new type of allcarbon nanomaterials ie the carbon nanowires inserted into the singlewalled carbon nanotubes it is found that if the 1d carbon nanowire density is not too higher the ferromagnetic ground state will be more stable than the antiferromagnetic one which is caused by weak coupling between the 1d carbon nanowire and the singlewalled carbon nanotube also both dimerization of the carbon nanowire and carbon vacancy on the tubewall are found to enhance the magnetic moment of the composite | [['using', 'the', 'firstprinciples', 'spin', 'density', 'functional', 'approach', 'we', 'have', 'studied', 'magnetism', 'of', 'a', 'new', 'type', 'of', 'allcarbon', 'nanomaterials', 'ie', 'the', 'carbon', 'nanowires', 'inserted', 'into', 'the', 'singlewalled', 'carbon', 'nanotubes', 'it', 'is', 'found', 'that', 'if', 'the', '1d', 'carbon', 'nanowire', 'density', 'is', 'not', 'too', 'higher', 'the', 'ferromagnetic', 'ground', 'state', 'will', 'be', 'more', 'stable', 'than', 'the', 'antiferromagnetic', 'one', 'which', 'is', 'caused', 'by', 'weak', 'coupling', 'between', 'the', '1d', 'carbon', 'nanowire', 'and', 'the', 'singlewalled', 'carbon', 'nanotube', 'also', 'both', 'dimerization', 'of', 'the', 'carbon', 'nanowire', 'and', 'carbon', 'vacancy', 'on', 'the', 'tubewall', 'are', 'found', 'to', 'enhance', 'the', 'magnetic', 'moment', 'of', 'the', 'composite']] | [-0.12020868348823253, 0.18651077391215318, 0.026696779491865764, -0.00801803337273431, 0.04298374232957545, -0.18406176260854726, 0.06907972900270302, 0.48990816829483147, -0.23423357795842964, -0.2628742047362839, 0.01070001413134615, -0.31129201317367994, -0.09810166753342618, 0.13459625578505677, 0.07434185967988173, -0.02787006317394907, 0.07193395439990917, -0.0445357281309755, -0.06677962991196419, -0.22116842186432736, 0.2596384580247104, 0.024871322671811948, 0.36488978275219386, 0.11755888207572633, -0.012668116073852972, -0.04618123937499426, 0.14618359128539654, 0.04913321173618264, -0.15067568020276667, 0.16802809025292567, 0.18716805349053492, -0.13484795400164212, 0.19744160442370112, -0.5404584068683502, -0.20230352060626383, 0.03967797476798296, 0.15450047097756, 0.17109953506176523, -0.030321388975647533, -0.28704182836024655, 0.10925948700827101, -0.159675939352778, -0.10362878159946337, -0.037153671186862754, -0.01377123707662458, 0.032210753618172654, -0.1877166439384303, 0.04931204230746042, 0.06479718025429579, 0.03094793548655656, -0.07185687681498087, -0.1607981667874138, -0.19230863156364017, 0.038021307818227164, 0.035356521639345294, -0.006511212220293996, 0.24927460862850043, -0.07679297801856276, -0.059702780360922865, 0.3819744682101452, -0.09922686832499533, -0.09851574550544762, 0.1530436920153949, -0.13804474036695194, -0.08589172943839399, 0.1744401839096099, 0.05279822616190042, 0.1365283152250492, -0.20089412326722042, 0.03649731499583298, 0.008327416441360307, 0.16107565357916706, 0.05678979392953055, 0.08154192153344174, 0.30721535243640613, 0.27115503696562804, 0.05542442442737925, 0.12207338008295704, -0.16307032560048948, -0.015205828343902755, -0.1405793973447188, -0.24009641857169892, -0.21760084665299434, 0.09623068472659646, -0.05552796426238037, -0.25717761367559433, 0.36590306952838664, 0.07831162211242253, 0.08385828435016067, -0.05935699108648924, 0.20699560986426863, 0.11214500584680101, 0.10980913021257552, -0.0345459768318308, 0.28412817625085945, 0.2544228948182021, 0.08998135150835404, -0.29145465806916193, 0.08714323063664463, -0.0024436687261028133] |
707.2387 | A fast multilevel algorithm for graph clustering and community detection | One of the most useful measures of cluster quality is the modularity of a
partition, which measures the difference between the number of the edges
joining vertices from the same cluster and the expected number of such edges in
a random (unstructured) graph. In this paper we show that the problem of
finding a partition maximizing the modularity of a given graph G can be reduced
to a minimum weighted cut problem on a complete graph with the same vertices as
G. We then show that the resulted minimum cut problem can be efficiently solved
with existing software for graph partitioning and that our algorithm finds
clusterings of a better quality and much faster than the existing clustering
algorithms.
| physics.data-an physics.soc-ph | one of the most useful measures of cluster quality is the modularity of a partition which measures the difference between the number of the edges joining vertices from the same cluster and the expected number of such edges in a random unstructured graph in this paper we show that the problem of finding a partition maximizing the modularity of a given graph g can be reduced to a minimum weighted cut problem on a complete graph with the same vertices as g we then show that the resulted minimum cut problem can be efficiently solved with existing software for graph partitioning and that our algorithm finds clusterings of a better quality and much faster than the existing clustering algorithms | [['one', 'of', 'the', 'most', 'useful', 'measures', 'of', 'cluster', 'quality', 'is', 'the', 'modularity', 'of', 'a', 'partition', 'which', 'measures', 'the', 'difference', 'between', 'the', 'number', 'of', 'the', 'edges', 'joining', 'vertices', 'from', 'the', 'same', 'cluster', 'and', 'the', 'expected', 'number', 'of', 'such', 'edges', 'in', 'a', 'random', 'unstructured', 'graph', 'in', 'this', 'paper', 'we', 'show', 'that', 'the', 'problem', 'of', 'finding', 'a', 'partition', 'maximizing', 'the', 'modularity', 'of', 'a', 'given', 'graph', 'g', 'can', 'be', 'reduced', 'to', 'a', 'minimum', 'weighted', 'cut', 'problem', 'on', 'a', 'complete', 'graph', 'with', 'the', 'same', 'vertices', 'as', 'g', 'we', 'then', 'show', 'that', 'the', 'resulted', 'minimum', 'cut', 'problem', 'can', 'be', 'efficiently', 'solved', 'with', 'existing', 'software', 'for', 'graph', 'partitioning', 'and', 'that', 'our', 'algorithm', 'finds', 'clusterings', 'of', 'a', 'better', 'quality', 'and', 'much', 'faster', 'than', 'the', 'existing', 'clustering', 'algorithms']] | [-0.11331841973353084, 0.0482446437412012, -0.10572613836774807, 0.057664199567892975, -0.10073424248854403, -0.07607875947895296, 0.07748433770787973, 0.3831859892899437, -0.3006407602214716, -0.37646097347860324, 0.06420690441668472, -0.3052998025463346, -0.15096161700980817, 0.13247928994574718, -0.07142359320809986, 0.05566175327491516, 0.147141892337749, 0.10426584354547017, -0.035500832972265466, -0.29435947420517716, 0.2923935432957501, 0.013244763004961385, 0.2542687970597078, 0.05903832119803469, 0.07196249731839831, 0.030060318642992433, 0.0007294865105958546, 0.1509922546405001, -0.09622273760931635, 0.16069095558780364, 0.2633524621101175, 0.22454504158050448, 0.293816309444755, -0.388641504218661, -0.17611788468388448, 0.19492504948421435, 0.1596878892859491, 0.06916504663497429, 0.010284460684824578, -0.21570666726021206, 0.14349848836143853, -0.10651769956276447, -0.04439986915084995, 0.033837288819613454, 0.009817186852588373, 0.021968913371205143, -0.28511751629412174, 0.00871549207059776, 0.03701932193122476, -0.004590857633146919, 0.03418894235569076, -0.16799126852679402, -0.04386402465238729, 0.13149669980865067, -0.020434292810069036, 0.09961467166626904, 0.07132718503522147, -0.14243782144783362, -0.14860220800913057, 0.398407255025471, -0.013745548049630714, -0.1855370099460628, 0.1468469331416638, -0.08171975267503191, -0.1668338164366281, 0.10791706603349131, 0.16128990274047902, 0.14602301060026432, -0.1235678095073134, 0.03622277348034256, -0.08425439912004068, 0.14425470726955839, 0.0821201007151898, 0.007132804995606176, 0.1443831504267805, 0.17712127000578687, 0.19762179262920462, 0.19788407848877912, -0.010660923491114704, -0.007197895234043733, -0.23468188443729857, -0.1337979345331986, -0.2592718236171836, 0.012346534680637742, -0.21423802443375486, -0.21167459859348395, 0.4574062201906653, 0.14099294410533264, 0.23247832584218317, 0.115980341428883, 0.29097260354759813, 0.10924499681876863, 0.06966752099937626, 0.1507751430979609, 0.1402498251238071, 0.08105230926997772, -0.013409350266946214, -0.20713035011969255, 0.06848860917096379, 0.10313407534013401] |
707.2388 | Protein Folding as a Physical Stochastic Process | We model protein folding as a physical stochastic process as follows. The
unfolded protein chain is treated as a random coil described by SAW
(self-avoiding walk). Folding is induced by hydrophobic forces and other
interactions, such as hydrogen bonding, which can be taken into account by
imposing conditions on SAW. The resulting model is termed CSAW (conditioned
self-avoiding walk. Conceptually, the mathematical basis is a generalized
Langevin equation. In practice, the model is implemented on a computer by
combining SAW and Monte Carlo. To illustrate the flexibility and capabilities
of the model, we consider a number of examples, including folding pathways,
elastic properties, helix formation, and collective modes.
| cond-mat.soft | we model protein folding as a physical stochastic process as follows the unfolded protein chain is treated as a random coil described by saw selfavoiding walk folding is induced by hydrophobic forces and other interactions such as hydrogen bonding which can be taken into account by imposing conditions on saw the resulting model is termed csaw conditioned selfavoiding walk conceptually the mathematical basis is a generalized langevin equation in practice the model is implemented on a computer by combining saw and monte carlo to illustrate the flexibility and capabilities of the model we consider a number of examples including folding pathways elastic properties helix formation and collective modes | [['we', 'model', 'protein', 'folding', 'as', 'a', 'physical', 'stochastic', 'process', 'as', 'follows', 'the', 'unfolded', 'protein', 'chain', 'is', 'treated', 'as', 'a', 'random', 'coil', 'described', 'by', 'saw', 'selfavoiding', 'walk', 'folding', 'is', 'induced', 'by', 'hydrophobic', 'forces', 'and', 'other', 'interactions', 'such', 'as', 'hydrogen', 'bonding', 'which', 'can', 'be', 'taken', 'into', 'account', 'by', 'imposing', 'conditions', 'on', 'saw', 'the', 'resulting', 'model', 'is', 'termed', 'csaw', 'conditioned', 'selfavoiding', 'walk', 'conceptually', 'the', 'mathematical', 'basis', 'is', 'a', 'generalized', 'langevin', 'equation', 'in', 'practice', 'the', 'model', 'is', 'implemented', 'on', 'a', 'computer', 'by', 'combining', 'saw', 'and', 'monte', 'carlo', 'to', 'illustrate', 'the', 'flexibility', 'and', 'capabilities', 'of', 'the', 'model', 'we', 'consider', 'a', 'number', 'of', 'examples', 'including', 'folding', 'pathways', 'elastic', 'properties', 'helix', 'formation', 'and', 'collective', 'modes']] | [-0.09356981717670958, 0.2100136882401313, -0.08489244285791991, 0.07902319992726242, -0.06919799789708729, -0.18082027931921874, 0.038996043209745375, 0.39608021997156795, -0.29022181154707344, -0.24018903570255065, 0.039972630423209116, -0.24777445370866055, -0.22461425007700367, 0.16775116935820766, 0.007169521780236176, 0.04128372852035143, 0.09044912451429775, -0.009361599908313818, 0.04203416183413032, -0.16584122853883956, 0.20124529456262719, 0.09851092607089042, 0.2575086208612279, 0.05878951700180079, 0.15220287962195775, 0.0622853630748405, 0.017769702287666774, 0.03637285469341333, -0.18370590300118136, 0.06249141803494206, 0.17430255991079052, 0.06199188167401762, 0.24283919897344378, -0.4713063716922921, -0.2757419762244724, 0.052889887821274226, 0.17065843377511353, 0.15780077952594082, -0.008084860628177584, -0.30157602214064727, 0.001781865999671734, -0.15190991729980818, -0.12011038574079673, -0.06651838650254326, -0.030679172778036445, 0.0667920362342287, -0.21831113213017858, 0.07121087417558387, 0.05874313003193863, 0.06004119680814997, -0.014737083207971105, -0.11870699665181476, -0.06212602674107378, 0.08339740296273872, 0.018155163283086882, 0.019514456296477606, 0.23317695181187312, -0.09041688025549606, -0.15708146646135934, 0.42935738613380603, -0.020360104433536804, -0.25615735745264423, 0.16991705124490653, -0.038217240987621526, -0.12132639543981188, 0.1303229833461551, 0.13574805109830643, 0.056809448020498234, -0.21254438616732066, 0.09302821570660551, 0.014032752799620438, 0.1028865959012398, 0.06104558225531407, -0.08137672240371574, 0.19444490820859317, 0.24992286529676574, -0.011239672105552422, 0.19995864796726015, -0.05918429832025948, -0.18809224744715416, -0.24807688857308002, -0.14800176373682916, -0.2419797572290042, 0.06667848053297752, -0.09581951807733814, -0.20745148928835988, 0.37751704309549594, 0.08161255849512161, 0.1897200912030207, 0.09079571412466639, 0.24633375936429258, 0.07679855686836634, 0.050370097227170375, -0.01916203925955213, 0.15348088294612589, 0.14421128752184342, 0.03667778252511872, -0.19484830210933946, 0.1250587448680394, 0.13127321243734547] |
707.2389 | Critical temperature for kaon condensation in color-flavor locked quark
matter | We study the behavior of Goldstone bosons in color-flavor-locked (CFL) quark
matter at nonzero temperature. Chiral symmetry breaking in this phase of cold
and dense matter gives rise to pseudo-Goldstone bosons, the lightest of these
being the charged and neutral kaons K^+ and K^0. At zero temperature,
Bose-Einstein condensation of the kaons occurs. Since all fermions are gapped,
this kaon condensed CFL phase can, for energies below the fermionic energy gap,
be described by an effective theory for the bosonic modes. We use this
effective theory to investigate the melting of the condensate: we determine the
temperature-dependent kaon masses self-consistently using the two-particle
irreducible effective action, and we compute the transition temperature for
Bose-Einstein condensation. Our results are important for studies of transport
properties of the kaon condensed CFL phase, such as bulk viscosity.
| nucl-th astro-ph hep-ph | we study the behavior of goldstone bosons in colorflavorlocked cfl quark matter at nonzero temperature chiral symmetry breaking in this phase of cold and dense matter gives rise to pseudogoldstone bosons the lightest of these being the charged and neutral kaons k and k0 at zero temperature boseeinstein condensation of the kaons occurs since all fermions are gapped this kaon condensed cfl phase can for energies below the fermionic energy gap be described by an effective theory for the bosonic modes we use this effective theory to investigate the melting of the condensate we determine the temperaturedependent kaon masses selfconsistently using the twoparticle irreducible effective action and we compute the transition temperature for boseeinstein condensation our results are important for studies of transport properties of the kaon condensed cfl phase such as bulk viscosity | [['we', 'study', 'the', 'behavior', 'of', 'goldstone', 'bosons', 'in', 'colorflavorlocked', 'cfl', 'quark', 'matter', 'at', 'nonzero', 'temperature', 'chiral', 'symmetry', 'breaking', 'in', 'this', 'phase', 'of', 'cold', 'and', 'dense', 'matter', 'gives', 'rise', 'to', 'pseudogoldstone', 'bosons', 'the', 'lightest', 'of', 'these', 'being', 'the', 'charged', 'and', 'neutral', 'kaons', 'k', 'and', 'k0', 'at', 'zero', 'temperature', 'boseeinstein', 'condensation', 'of', 'the', 'kaons', 'occurs', 'since', 'all', 'fermions', 'are', 'gapped', 'this', 'kaon', 'condensed', 'cfl', 'phase', 'can', 'for', 'energies', 'below', 'the', 'fermionic', 'energy', 'gap', 'be', 'described', 'by', 'an', 'effective', 'theory', 'for', 'the', 'bosonic', 'modes', 'we', 'use', 'this', 'effective', 'theory', 'to', 'investigate', 'the', 'melting', 'of', 'the', 'condensate', 'we', 'determine', 'the', 'temperaturedependent', 'kaon', 'masses', 'selfconsistently', 'using', 'the', 'twoparticle', 'irreducible', 'effective', 'action', 'and', 'we', 'compute', 'the', 'transition', 'temperature', 'for', 'boseeinstein', 'condensation', 'our', 'results', 'are', 'important', 'for', 'studies', 'of', 'transport', 'properties', 'of', 'the', 'kaon', 'condensed', 'cfl', 'phase', 'such', 'as', 'bulk', 'viscosity']] | [-0.13635476484178885, 0.40980787918072825, -0.09991436132313267, 0.10139891141139444, -0.027649325193531478, -0.12247001712641387, 0.050178985790794356, 0.29458055182867476, -0.18817319657389464, -0.2533259603347796, -0.02745859041191471, -0.3181160429993005, -0.010003156499561868, 0.04238097008957124, 0.09251748968902697, 0.07700645130165894, -0.053960649053385455, 0.03380351736377091, -0.13098353659039114, -0.2146999765684439, 0.34083862408801024, -0.029966421706824384, 0.24652714132150608, 0.17822948321630594, 0.005924747596536555, -0.011636149761989824, 0.05889057854508439, -0.05776226274154858, -0.19676993209382157, -0.015122678589576216, 0.25650580601250655, -0.0372009026963931, 0.10714002409532888, -0.360695101432815, -0.1986908700383171, 0.15349716216902623, 0.18362336694401926, 0.17350144904113807, -0.08561805024770881, -0.3147838522763506, 0.02853439659585676, -0.191064784199055, -0.17791995767907087, -0.1633404645584037, -0.02676040050573647, -0.0696676353778023, -0.2524269079640091, 0.15688302158747292, 0.0062468135312422, 0.06874274509983248, -0.07942185902736956, -0.16961858166492919, -0.04645676141667333, 0.03296858652272442, 0.07928165666230802, 0.03135350098270478, 0.16738641386201827, -0.24509777882963474, -0.03767408961221687, 0.4497670428340893, -0.10913428482808062, -0.10761913024723085, 0.19374242946270978, -0.1339538844350948, -0.09606724193166774, 0.18604377246072598, 0.16777028641646116, 0.09661677003657418, -0.14251938166875225, 0.08753346694715246, -0.08178464344132748, 0.14837058602637654, 0.0848595904144667, 0.08686894174220401, 0.33999998189175307, 0.19433218225447543, -0.005966742258908144, 0.13257699705914025, -0.0098236300348332, -0.12361602257214375, -0.3476022675480527, -0.1695477472368016, -0.15689939850638968, 0.021060573458393562, -0.03528902163240822, -0.14224198608269997, 0.3790730602618779, 0.12892286763387495, 0.19994750751205026, -0.0036822823884049014, 0.28170166033278426, 0.1424475463746644, 0.04571194537748485, 0.059153956712098485, 0.283534438241579, 0.201715660081662, 0.13550323755619353, -0.3489034823298371, -0.10016478873518254, 0.11474031166854634] |
707.239 | On the generalised Chaplygin gas: worse than a big rip or quieter than a
sudden singularity? | Although it has been believed that the models with generalised Chaplygin gas
do not contain singularities, in a previous work we have studied how a big
freeze could take place in some kinds of phantom generalised Chaplygin gas. In
the present work, we study some types of generalised Chaplygin gas in order to
show how different sorts of singularities could appears in such models, in the
future or in the past. We point out that: (i) singularities may not be
originated from the phantom nature of the fluid, and (ii) if initially the
tension of the brane in a brane-world Chaplygin model is large enough then an
infrared cut off appears in the past.
| gr-qc | although it has been believed that the models with generalised chaplygin gas do not contain singularities in a previous work we have studied how a big freeze could take place in some kinds of phantom generalised chaplygin gas in the present work we study some types of generalised chaplygin gas in order to show how different sorts of singularities could appears in such models in the future or in the past we point out that i singularities may not be originated from the phantom nature of the fluid and ii if initially the tension of the brane in a braneworld chaplygin model is large enough then an infrared cut off appears in the past | [['although', 'it', 'has', 'been', 'believed', 'that', 'the', 'models', 'with', 'generalised', 'chaplygin', 'gas', 'do', 'not', 'contain', 'singularities', 'in', 'a', 'previous', 'work', 'we', 'have', 'studied', 'how', 'a', 'big', 'freeze', 'could', 'take', 'place', 'in', 'some', 'kinds', 'of', 'phantom', 'generalised', 'chaplygin', 'gas', 'in', 'the', 'present', 'work', 'we', 'study', 'some', 'types', 'of', 'generalised', 'chaplygin', 'gas', 'in', 'order', 'to', 'show', 'how', 'different', 'sorts', 'of', 'singularities', 'could', 'appears', 'in', 'such', 'models', 'in', 'the', 'future', 'or', 'in', 'the', 'past', 'we', 'point', 'out', 'that', 'i', 'singularities', 'may', 'not', 'be', 'originated', 'from', 'the', 'phantom', 'nature', 'of', 'the', 'fluid', 'and', 'ii', 'if', 'initially', 'the', 'tension', 'of', 'the', 'brane', 'in', 'a', 'braneworld', 'chaplygin', 'model', 'is', 'large', 'enough', 'then', 'an', 'infrared', 'cut', 'off', 'appears', 'in', 'the', 'past']] | [-0.09637311217119802, 0.10063373463817059, -0.16201877739411175, 0.07718376295432743, -0.07973573335626147, -0.1651954164344556, -0.05314311598582814, 0.33360890704288815, -0.23932991930888148, -0.2449323317452677, 0.08216588177081001, -0.27139289097721575, -0.11311235964469808, 0.1250729828923859, -0.09056115650833306, -0.00834849214164965, -0.01699205783191709, 0.03334418249218479, -0.04665000455886975, -0.315737196023723, 0.3678795381177527, 0.05172564466320501, 0.21196320245303868, 0.07182418590354357, 0.0503730767563786, -0.10511121061516174, -0.012931933299752703, 0.0731558222487046, -0.1643367415551135, -0.007804628525934133, 0.2439181126617513, 0.13032788357476852, 0.25775319106545985, -0.4839998159982395, -0.30416502243953575, 0.19484337545081712, 0.210221140233906, 0.12387609654187895, -0.03840734191614677, -0.23433701643973523, 0.03296447509905862, -0.21204397737522396, -0.16176709611164897, -0.041914424809204466, -0.0015080416199277366, 0.0067352882214707505, -0.14412031038827672, 0.08220762396721464, 0.07826975042719328, -0.02457404616207146, -0.10732840965583659, -0.06830275641231422, -0.026192913910276013, 0.03322811278293988, 0.06987034804351105, -0.002340844421843557, 0.09838942540074258, -0.17843640417528436, -0.058376876674102324, 0.40049857542270045, -0.08900905837276298, -0.20671980534761883, 0.22041054184573064, -0.16843014275410065, -0.1893780338516655, 0.08369465443518079, 0.13506994663080069, 0.08613102883917459, -0.1411632870307617, 0.13546716055798083, -0.03204086760218304, 0.13898972595205505, 0.10668292372250571, -0.04402658121104826, 0.3039457343289988, 0.09710094405607761, -0.02869658462964652, 0.15280679560964927, -0.10759461559600343, -0.13349921250993615, -0.3184183764050862, -0.1803942757307372, -0.10010861064585154, 0.08403278819490592, -0.06147372631523084, -0.1550199239710836, 0.3179356117667467, 0.146367746773952, 0.2367272631167189, -0.06889400224348433, 0.25550068158394934, 0.05878379842135729, 0.0834312846663555, 0.07445030324079357, 0.27560872010521087, 0.046974760357682645, 0.12005241218905308, -0.16565790049233392, 0.038501833843296036, 0.029024729723715337] |
707.2391 | Frechet topologies on hypoelliptic sheaves | This note is withdrawn. The result and its proof are available in the
literature.
| math.FA math.CV | this note is withdrawn the result and its proof are available in the literature | [['this', 'note', 'is', 'withdrawn', 'the', 'result', 'and', 'its', 'proof', 'are', 'available', 'in', 'the', 'literature']] | [-0.14527902978339366, -0.018428743949958255, -0.135770400320845, 0.015887449894632612, -0.13917835349483149, -0.06519119671013739, -0.018305033445358276, 0.36180765607527327, -0.30542232362287386, -0.32285417962287155, 0.18447729934372806, -0.3371364687170301, -0.12007157105420317, 0.1522351870579379, -0.24302436411380768, -0.020859254461746395, 0.12685404737879122, -0.02107026175196682, 0.008634502001638924, -0.3675776443311146, 0.2780819354312761, 0.05318938834326608, 0.2566806610307789, 0.24249057391924517, -0.030562337953597307, -0.08918175260935511, -0.18481587013229728, -0.09449578449130058, -0.2032546536065638, 0.15740351052954793, 0.2606445766453232, 0.1213793181149023, 0.29372077588258044, -0.3360049965392266, -0.08789770458159703, 0.101159154670313, 0.13241767081698136, 0.22820024085896357, -0.08866707082571727, -0.27348945662379265, 0.1465469997908388, -0.25812339556536507, -0.18680972466245294, 0.05775784069140043, 0.03087191536490406, -0.0684855836443603, -0.1450805618826832, 0.0891518980663802, 0.24834803019517235, 0.14559103455394506, -0.012812565188921456, -0.18659734543013787, 0.037562514788338115, 0.1370405959231513, 0.20278305897954851, 0.12506511880617058, 0.03470705236707415, -0.04575306847358921, 0.000800867032791887, 0.34760322741099764, 0.07034617875303541, -0.19977700896561146, 0.15698352722185, -0.06848806628425207, -0.14702153601683676, 0.06277870001005274, 0.054876117601192424, 0.16699756854879005, -0.2170368862072272, 0.19692116942107013, -0.11701347505939859, 0.13452581595629454, 0.07531554102232414, 0.05436954071878323, 0.053148919982569556, 0.15163212911491947, -0.0007894797516720635, 0.17959208936164422, 0.028829928753631457, -0.04788886905381722, -0.37922889473182814, -0.16754370395626342, -0.30913770997098516, 0.002486105010445629, 0.08972251431987388, -0.13753875198640994, 0.32467868817704065, 0.21287197340279818, 0.12919238741908753, 0.059346873579280715, 0.3560785675155265, 0.14055138971889392, 0.020839054603129625, 0.009003832903025406, 0.3440752939454147, 0.12395792467785734, 0.2109350644584213, -0.03716321665394519, 0.1809870321303606, 0.13529601872765593] |
707.2392 | Singular loci of Bruhat-Hibi toric varieties | For the toric variety X associated to the Bruhat poset of Schubert varieties
in a minuscule G/P, we describe the singular locus in terms of the faces of the
associated polyhedral cone. We further show that the singular locus is pure of
codimension 3 in X.
| math.AG | for the toric variety x associated to the bruhat poset of schubert varieties in a minuscule gp we describe the singular locus in terms of the faces of the associated polyhedral cone we further show that the singular locus is pure of codimension 3 in x | [['for', 'the', 'toric', 'variety', 'x', 'associated', 'to', 'the', 'bruhat', 'poset', 'of', 'schubert', 'varieties', 'in', 'a', 'minuscule', 'gp', 'we', 'describe', 'the', 'singular', 'locus', 'in', 'terms', 'of', 'the', 'faces', 'of', 'the', 'associated', 'polyhedral', 'cone', 'we', 'further', 'show', 'that', 'the', 'singular', 'locus', 'is', 'pure', 'of', 'codimension', '3', 'in', 'x']] | [-0.19818254013586303, -0.03020068667019191, -0.04054081087689037, 0.03322290116161837, -0.06145039443736491, -0.09651906809607602, 0.025130386221344055, 0.311107256874928, -0.39168899522527406, -0.08319730182056842, 0.09006294575342706, -0.2247706683271605, -0.15619213802173085, 0.16444747896014672, -0.22823628505853855, -0.04751488214115734, 0.03374918014742434, 0.07010745435305264, -0.13458132359158734, -0.32882425055393705, 0.49449515990588977, -0.1155965092551449, 0.24751737924373668, 0.05286370059880226, 0.13306810196651064, -0.02406743359144615, 0.04283551944662695, 0.02788055041025433, -0.12089759587774018, 0.1782009641477919, 0.36011571169871354, 0.10138761572053899, 0.1418748980377922, -0.3792816806665581, -0.08594180413195357, 0.2538219344316293, 0.13020009620358114, 0.019578346091768017, 0.05155541869285314, -0.1812172626124938, 0.11982249308620459, -0.13026031544027122, -0.294670263244568, -0.05816790939349195, 0.04172508995575101, 0.03287793049315477, -0.20141008131853913, -0.025535065073357975, 0.09970335941761732, 0.12459265428554753, -0.015698193714184606, -0.19069773837438095, -0.16588252044849747, 0.007704350229291974, -0.05095563669506784, 0.07401550567263494, 0.07866466594050112, -0.13453185291070005, -0.15288676098798928, 0.39532888782939507, -0.018644447731987937, -0.2558721105122696, 0.107921803066426, -0.25557950714036176, -0.1542918821391852, 0.2580243244200297, 0.14486117802722298, 0.16987358508429126, 0.021257464389276247, 0.1921556282626546, -0.11983452704937561, -0.0355693146424449, 0.10554682404187549, -0.04925330834584716, 0.13881191028201062, 0.15460948917366887, 0.04312054050134738, 0.1309542774182299, -0.08185309931160072, -0.04491134510254082, -0.3863755510310116, -0.23444639057244943, -0.09882826531184433, 0.16794616047738362, -0.1918225206900388, -0.19521597112812425, 0.41407080472487473, 0.0596817628197048, 0.22640050275494222, 0.05596403340282648, 0.17873196235007566, -0.018769417990646933, 0.01059986768371385, -0.038791097700595856, 0.11943582755149058, 0.19079608227247777, -0.08043947678221308, -0.18672837058851577, 0.020005973157189463, 0.20324653818312546] |
707.2393 | The Geometry of Genus-One Helicoids | We prove: a properly embedded, genus-one minimal surface that is asymptotic
to a helicoid and that contains two straight lines must intersect that helicoid
precisely in those two lines. In particular, the two lines divide the surface
into two connected components that lie on either side of the helicoid. We prove
an analogous result for periodic helicoid-like surfaces. We also give a simple
condition guaranteeing that an immersed minimal surface with finite genus and
bounded curvature is asymptotic to a helicoid at infinity.
| math.DG | we prove a properly embedded genusone minimal surface that is asymptotic to a helicoid and that contains two straight lines must intersect that helicoid precisely in those two lines in particular the two lines divide the surface into two connected components that lie on either side of the helicoid we prove an analogous result for periodic helicoidlike surfaces we also give a simple condition guaranteeing that an immersed minimal surface with finite genus and bounded curvature is asymptotic to a helicoid at infinity | [['we', 'prove', 'a', 'properly', 'embedded', 'genusone', 'minimal', 'surface', 'that', 'is', 'asymptotic', 'to', 'a', 'helicoid', 'and', 'that', 'contains', 'two', 'straight', 'lines', 'must', 'intersect', 'that', 'helicoid', 'precisely', 'in', 'those', 'two', 'lines', 'in', 'particular', 'the', 'two', 'lines', 'divide', 'the', 'surface', 'into', 'two', 'connected', 'components', 'that', 'lie', 'on', 'either', 'side', 'of', 'the', 'helicoid', 'we', 'prove', 'an', 'analogous', 'result', 'for', 'periodic', 'helicoidlike', 'surfaces', 'we', 'also', 'give', 'a', 'simple', 'condition', 'guaranteeing', 'that', 'an', 'immersed', 'minimal', 'surface', 'with', 'finite', 'genus', 'and', 'bounded', 'curvature', 'is', 'asymptotic', 'to', 'a', 'helicoid', 'at', 'infinity']] | [-0.20728520168193493, 0.13157948119396132, -0.10586626947217856, 0.05489076839210129, -0.09214171163558242, -0.20446308151291437, -0.022720433544389993, 0.41290120379887074, -0.21954584714159908, -0.17193230003657112, 0.0932358909841537, -0.311275208570871, -0.13196871273713298, 0.18735248874311886, -0.12112884785620923, -0.04139175497174981, 0.05729518849851496, 0.06285187589560064, -0.052112340576475465, -0.25617895650127565, 0.36976724050669785, -0.12876157888985543, 0.21600285626902996, 0.11255453580833343, 0.08164958235406575, -0.0358205060362367, 0.1069689336322607, 0.08437629128860293, -0.20571934808186235, 0.11733144886457889, 0.22152269363448204, 0.02628213402265346, 0.16519634461827037, -0.48022637745163527, -0.1897923702721944, 0.14965747285028358, 0.1874959180748696, 0.06873089645383318, -0.03557449391431523, -0.1896312131030283, 0.1248984304537256, -0.05473459901355476, -0.249680185494159, 0.02441608924867518, 0.006403875054724245, -0.024755817557494324, -0.1812994839646012, -0.043992986771101354, 0.14542231524744667, 0.08936507491035814, -0.05017518794657775, -0.05625833947413478, -0.12212263194125998, 0.10796532690727029, 0.021905443558177674, 0.03447271245728101, 0.056439580160181926, -0.06981787716946003, -0.02935232783678964, 0.29611926087660784, -0.11627785301576536, -0.2726713222934, 0.16891907276697907, -0.15213032720992006, -0.12501092592860202, 0.16873266032885714, 0.12383423858400748, 0.1401051956127925, -0.09711627480405641, 0.1311264769286366, -0.07262456901820309, 0.10729345212499779, 0.1508243586531425, -0.043145880622071135, 0.2113555578223194, 0.053081221174426284, 0.15945204289786796, 0.16338746728731812, -0.07694319716138563, -0.023805740328662724, -0.40722865701080807, -0.2348864568980882, -0.14024229434666685, 0.08518473069879215, -0.10847540711948973, -0.26530488643301536, 0.3837324520011982, -0.0008945830996675664, 0.24113340512007833, 0.09783674297427916, 0.2890934405612748, 0.07559489031989935, 0.02382901031523943, 0.13010376012962627, 0.18613941871830408, 0.13088016942177103, -0.06060329395492213, -0.13578648441078434, -0.04358819935538144, 0.14446905486517816] |
707.2394 | Laser Guide Star Adaptive Optics Integral Field Spectroscopy of a
Tightly Collimated Bipolar Jet from the Herbig Ae star LkHa 233 | We have used the integral field spectrograph OSIRIS and laser guide star
adaptive optics at Keck Observatory to obtain high angular resolution (0.06"),
moderate spectral resolution (R ~ 3800) images of the bipolar jet from the
Herbig Ae star LkHa 233, seen in near-IR [Fe II] emission at 1.600 & 1.644
microns. This jet is narrow and tightly collimated, with an opening angle of
only 9 degrees, and has an average radial velocity of ~ 100 km/s. The jet and
counterjet are asymmetric, with the red-shifted jet much clumpier than its
counterpart at the angular resolution of our observations. The observed
properties are in general similar to jets seen around T Tauri stars, though it
has a relatively large mass flux of (1.2e-7 +- 0.3e-7) M_sun/year, near the
high end of the observed mass flux range around T Tauri stars. We also
spatially resolve an inclined circumstellar disk around LkHa 233, which
obscures the star from direct view. By comparison with numerical radiative
transfer disk models, we estimate the disk midplane to be inclined i = 65 +- 5
degrees relative to the plane of the sky. Since the star is seen only in
scattered light at near-infrared wavelengths, we detect only a small fraction
of its intrinsic flux. Because previous estimates of its stellar properties did
not account for this, either LkHa 233 must be located closer than the
previously believed, or its true luminosity must be greater than previously
supposed, consistent with its being a ~4 M_sun star near the stellar birthline.
| astro-ph | we have used the integral field spectrograph osiris and laser guide star adaptive optics at keck observatory to obtain high angular resolution 006 moderate spectral resolution r 3800 images of the bipolar jet from the herbig ae star lkha 233 seen in nearir fe ii emission at 1600 1644 microns this jet is narrow and tightly collimated with an opening angle of only 9 degrees and has an average radial velocity of 100 kms the jet and counterjet are asymmetric with the redshifted jet much clumpier than its counterpart at the angular resolution of our observations the observed properties are in general similar to jets seen around t tauri stars though it has a relatively large mass flux of 12e7 03e7 m_sunyear near the high end of the observed mass flux range around t tauri stars we also spatially resolve an inclined circumstellar disk around lkha 233 which obscures the star from direct view by comparison with numerical radiative transfer disk models we estimate the disk midplane to be inclined i 65 5 degrees relative to the plane of the sky since the star is seen only in scattered light at nearinfrared wavelengths we detect only a small fraction of its intrinsic flux because previous estimates of its stellar properties did not account for this either lkha 233 must be located closer than the previously believed or its true luminosity must be greater than previously supposed consistent with its being a 4 m_sun star near the stellar birthline | [['we', 'have', 'used', 'the', 'integral', 'field', 'spectrograph', 'osiris', 'and', 'laser', 'guide', 'star', 'adaptive', 'optics', 'at', 'keck', 'observatory', 'to', 'obtain', 'high', 'angular', 'resolution', '006', 'moderate', 'spectral', 'resolution', 'r', '3800', 'images', 'of', 'the', 'bipolar', 'jet', 'from', 'the', 'herbig', 'ae', 'star', 'lkha', '233', 'seen', 'in', 'nearir', 'fe', 'ii', 'emission', 'at', '1600', '1644', 'microns', 'this', 'jet', 'is', 'narrow', 'and', 'tightly', 'collimated', 'with', 'an', 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707.2395 | Moving medium electrodynamics approach for description of the electric
and magnetic static polarizable properties of the nucleon at low energy | Using the relativistic electrodynamics of continuous media formalism and main
relativistic quantum field theory principles the covariant Lagrangian of
electromagnetic field interaction with polarizable 1/2-spin particles have been
obtained. This Lagrangian let us to determine canonical and metric
energy-momentum tensors as well as low-energy Compton scattering amplitude. The
application of this Lagrangian for the calculation of the radiative correction
to the imaginary part of double virtual Compton scattering is demonstrated.
| hep-ph | using the relativistic electrodynamics of continuous media formalism and main relativistic quantum field theory principles the covariant lagrangian of electromagnetic field interaction with polarizable 12spin particles have been obtained this lagrangian let us to determine canonical and metric energymomentum tensors as well as lowenergy compton scattering amplitude the application of this lagrangian for the calculation of the radiative correction to the imaginary part of double virtual compton scattering is demonstrated | [['using', 'the', 'relativistic', 'electrodynamics', 'of', 'continuous', 'media', 'formalism', 'and', 'main', 'relativistic', 'quantum', 'field', 'theory', 'principles', 'the', 'covariant', 'lagrangian', 'of', 'electromagnetic', 'field', 'interaction', 'with', 'polarizable', '12spin', 'particles', 'have', 'been', 'obtained', 'this', 'lagrangian', 'let', 'us', 'to', 'determine', 'canonical', 'and', 'metric', 'energymomentum', 'tensors', 'as', 'well', 'as', 'lowenergy', 'compton', 'scattering', 'amplitude', 'the', 'application', 'of', 'this', 'lagrangian', 'for', 'the', 'calculation', 'of', 'the', 'radiative', 'correction', 'to', 'the', 'imaginary', 'part', 'of', 'double', 'virtual', 'compton', 'scattering', 'is', 'demonstrated']] | [-0.12076974188509797, 0.17878384935736125, -0.09985963221240257, 0.10377671275387651, -0.10263728498082075, -0.08778385080929313, -0.08550665425635608, 0.3212967088978205, -0.2317255354752498, -0.27968713764899544, -0.06463556867092848, -0.2700118259393743, -0.12953859821094998, 0.1502141001767346, 0.07731373426504433, 0.0583849890739657, -0.03594002013227769, 0.038841730974880716, -0.056128244501139436, -0.12919660730154386, 0.37969440152602535, 0.08147318345062168, 0.2146954494195857, 0.1130147655228419, 0.12602978365362755, 0.12483497484187994, -0.04623165531083941, 0.012885929667390883, -0.055621531585763606, 0.09777914023559009, 0.23655056162886987, 0.03076439693437091, 0.1523184812656317, -0.4609459944867662, -0.2387154583287026, 0.04094468448976321, 0.13530899487169726, 0.13536433875893375, -0.014418322499841452, -0.2947453321622951, -0.015508619240426924, -0.212165539738323, -0.22766392147168518, -0.10564934744366578, 0.017407423061584788, -0.044301461055874826, -0.23790380187066537, 0.012566988818746593, -0.0141043164484602, 0.03551147733149784, -0.1019810337639813, -0.08892460806029183, 0.03178461729881487, 0.05810431646449225, 0.09075002229572939, 0.07533933257551066, 0.19498376793095043, -0.12223987313253538, -0.11979864805803768, 0.46258678542716164, -0.10543435732834042, -0.19316225835521306, 0.09364686538465321, -0.14413102846592665, -0.07378329459544537, 0.17222289502387866, 0.16006856480546827, 0.14829902683517762, -0.1789919108684574, 0.189688710986437, -0.02463151249103248, 0.06623028676424708, 0.06407938068732619, 0.030577741636495504, 0.17465694685400066, 0.07396902659508799, -0.06963525404821017, 0.10906881049408444, -0.059386017712365305, -0.13286005086930736, -0.3979055773466825, -0.1724385951043327, -0.1817239952406713, 0.12948356897437147, -0.10508029719619247, -0.21664499905891715, 0.32288994024108564, 0.10802860640521561, 0.06205331915656903, 0.03480262929307563, 0.3623318935079234, 0.1751193258079833, 0.08847688914143613, 0.043078583645235216, 0.3429229748834457, 0.296953484788537, 0.10003619259722264, -0.26656410759980126, -0.08972267018231962, 0.13836123876805817] |
707.2396 | Hall field induced magnetoresistance oscillations of a two-dimensional
electron system | We develop a model of the nonlinear response to a DC electrical current of a
two dimensional electron system(2DES) placed on a magnetic field. Based on the
exact solution of the Schroedinger equation in arbitrarily strong electric and
magnetic fields, and separating the relative and guiding center coordinates, a
Kubo-like formula for the current is worked out as a response to the impurity
scattering. Self-consistent expressions determine the longitudinal and Hall
components of the electric field in terms of the DC current. The differential
resistivity displays strong Hall field-induced oscillations, in agreement with
the main features of the phenomenon observed in recent experiments.
| cond-mat.mes-hall | we develop a model of the nonlinear response to a dc electrical current of a two dimensional electron system2des placed on a magnetic field based on the exact solution of the schroedinger equation in arbitrarily strong electric and magnetic fields and separating the relative and guiding center coordinates a kubolike formula for the current is worked out as a response to the impurity scattering selfconsistent expressions determine the longitudinal and hall components of the electric field in terms of the dc current the differential resistivity displays strong hall fieldinduced oscillations in agreement with the main features of the phenomenon observed in recent experiments | [['we', 'develop', 'a', 'model', 'of', 'the', 'nonlinear', 'response', 'to', 'a', 'dc', 'electrical', 'current', 'of', 'a', 'two', 'dimensional', 'electron', 'system2des', 'placed', 'on', 'a', 'magnetic', 'field', 'based', 'on', 'the', 'exact', 'solution', 'of', 'the', 'schroedinger', 'equation', 'in', 'arbitrarily', 'strong', 'electric', 'and', 'magnetic', 'fields', 'and', 'separating', 'the', 'relative', 'and', 'guiding', 'center', 'coordinates', 'a', 'kubolike', 'formula', 'for', 'the', 'current', 'is', 'worked', 'out', 'as', 'a', 'response', 'to', 'the', 'impurity', 'scattering', 'selfconsistent', 'expressions', 'determine', 'the', 'longitudinal', 'and', 'hall', 'components', 'of', 'the', 'electric', 'field', 'in', 'terms', 'of', 'the', 'dc', 'current', 'the', 'differential', 'resistivity', 'displays', 'strong', 'hall', 'fieldinduced', 'oscillations', 'in', 'agreement', 'with', 'the', 'main', 'features', 'of', 'the', 'phenomenon', 'observed', 'in', 'recent', 'experiments']] | [-0.1852498698486563, 0.11056502068908337, -0.05069537398715814, 0.015622005565091968, -0.054165940275233165, -0.10852652076887441, 0.03904588225608071, 0.317735850920572, -0.2302527010952141, -0.28165526153044956, 0.03895393758099161, -0.2847618971969567, -0.121951075553821, 0.22714751513044842, 0.0336424020414615, 0.030930907967701263, -0.031126905282886298, 0.054798464245144646, -0.07734405761128109, -0.15407046147476078, 0.2814987043064891, 0.01442891399874854, 0.3336283535349603, 0.07366516769808881, 0.136633589206373, 0.025690316761314284, 0.02897854047078712, 0.1095061483290777, -0.090343810630621, 0.06774820794588794, 0.21300070210560865, -0.049659812051401124, 0.20831592234910704, -0.48011901998417633, -0.16784620851588747, 0.008661520662808828, 0.10541464543590943, 0.14946441742472863, -0.0835903232446963, -0.26922768348937526, 0.0032358372392242447, -0.12176684184255553, -0.14621120165376103, -0.07866374123384993, 0.039810046971337325, 0.04583984578722248, -0.29817754547020386, 0.09413934241313779, 0.055477108166444085, 0.08469193378536433, -0.13346378914281434, -0.11027392806193116, -0.011115562955976701, 0.07411085337163041, 0.06324710962750639, 0.06388885463934903, 0.16112400871226748, -0.18957624653294083, -0.13310719546222805, 0.3226250413275671, -0.11187982393939998, -0.16260264595721133, 0.13722983244053252, -0.22324022708241553, -0.04292483139764883, 0.12141288150394079, 0.16190625923484855, 0.09592288234910253, -0.15607192582797771, 0.09831164999837604, -0.04200669247017918, 0.1088378095506307, 0.029206210980191827, -0.008842125663481876, 0.2638342641385309, 0.14554156835063123, 0.033054259675825995, 0.14222786544055185, -0.13160248829380555, -0.060580930909981914, -0.3042947744366293, -0.13772007180537627, -0.15731136513161748, 0.088472935298056, -0.05565945376749333, -0.21718197124188438, 0.4558719959310895, 0.1717087003410544, 0.18410532144765718, -0.044778079330902915, 0.32482863105742227, 0.20142596491553144, 0.0479438413920648, 0.048171280440417866, 0.26155229701715355, 0.23720242146302162, 0.16611109455755235, -0.3277539987637497, 0.021827928832613443, 0.03863166038439993] |
707.2397 | Quantum critical behaviour in the superfluid density of strongly
underdoped ultrathin cuprate films | A central issue in the physics of high temperature superconductors is to
understand superconductivity within a single copper-oxide layer or bilayer, the
fundamental structural unit in the cuprates, and how it is lost with
underdoping. As mobile holes are removed from the CuO_2 planes, the transition
temperature T_C and superfluid density n_S decrease in a surprisingly
correlated fashion in crystals and thick films. We seek to elucidate the
intrinsic physics of bilayers in the strongly underdoped regime, near the
critical doping level where superconductivity disappears. We report
measurements of n_S(T) in films of Y_{1-x}Ca_xBa_2Cu_3O_{7-\delta} as thin as
two copper-oxide bilayers with T_C's as low as 3 K. In addition to seeing the
two-dimensional (2D) Kosterlitz-Thouless-Berezinski transition at T_C, we
observe a remarkable scaling of T_C with n_S(0) that demonstrates that the
disappearance of superconductivity with underdoping is due to quantum
fluctuations near a T = 0 2D quantum critical point.
| cond-mat.supr-con cond-mat.str-el | a central issue in the physics of high temperature superconductors is to understand superconductivity within a single copperoxide layer or bilayer the fundamental structural unit in the cuprates and how it is lost with underdoping as mobile holes are removed from the cuo_2 planes the transition temperature t_c and superfluid density n_s decrease in a surprisingly correlated fashion in crystals and thick films we seek to elucidate the intrinsic physics of bilayers in the strongly underdoped regime near the critical doping level where superconductivity disappears we report measurements of n_st in films of y_1xca_xba_2cu_3o_7delta as thin as two copperoxide bilayers with t_cs as low as 3 k in addition to seeing the twodimensional 2d kosterlitzthoulessberezinski transition at t_c we observe a remarkable scaling of t_c with n_s0 that demonstrates that the disappearance of superconductivity with underdoping is due to quantum fluctuations near a t 0 2d quantum critical point | [['a', 'central', 'issue', 'in', 'the', 'physics', 'of', 'high', 'temperature', 'superconductors', 'is', 'to', 'understand', 'superconductivity', 'within', 'a', 'single', 'copperoxide', 'layer', 'or', 'bilayer', 'the', 'fundamental', 'structural', 'unit', 'in', 'the', 'cuprates', 'and', 'how', 'it', 'is', 'lost', 'with', 'underdoping', 'as', 'mobile', 'holes', 'are', 'removed', 'from', 'the', 'cuo_2', 'planes', 'the', 'transition', 'temperature', 't_c', 'and', 'superfluid', 'density', 'n_s', 'decrease', 'in', 'a', 'surprisingly', 'correlated', 'fashion', 'in', 'crystals', 'and', 'thick', 'films', 'we', 'seek', 'to', 'elucidate', 'the', 'intrinsic', 'physics', 'of', 'bilayers', 'in', 'the', 'strongly', 'underdoped', 'regime', 'near', 'the', 'critical', 'doping', 'level', 'where', 'superconductivity', 'disappears', 'we', 'report', 'measurements', 'of', 'n_st', 'in', 'films', 'of', 'y_1xca_xba_2cu_3o_7delta', 'as', 'thin', 'as', 'two', 'copperoxide', 'bilayers', 'with', 't_cs', 'as', 'low', 'as', '3', 'k', 'in', 'addition', 'to', 'seeing', 'the', 'twodimensional', '2d', 'kosterlitzthoulessberezinski', 'transition', 'at', 't_c', 'we', 'observe', 'a', 'remarkable', 'scaling', 'of', 't_c', 'with', 'n_s0', 'that', 'demonstrates', 'that', 'the', 'disappearance', 'of', 'superconductivity', 'with', 'underdoping', 'is', 'due', 'to', 'quantum', 'fluctuations', 'near', 'a', 't', '0', '2d', 'quantum', 'critical', 'point']] | [-0.15632967576665815, 0.23935027592096653, -0.016085822919646164, 0.0016710759357755516, 0.0016059212889772334, -0.1901860049700727, 0.13760871578620484, 0.3576598228674207, -0.25061101562049765, -0.2733510559387255, 0.01079537889892048, -0.383821524567152, -0.10945174410695448, 0.13502679830385786, -0.006526555830062735, 0.0361531336273023, -0.1255580246286004, -0.0220864426638406, -0.15733658042251938, -0.2182806511565843, 0.2908542040835491, 0.04018921926367603, 0.3445855574682355, 0.10425173796028923, -0.005678408030708064, -0.05114817282422477, 0.18757121998897985, 0.05328020929740179, -0.18855526434125194, -0.007582468424467433, 0.35059252351244297, -0.12887567982715148, 0.19694026970873343, -0.40458442001359773, -0.24011571447039962, -0.02280762396915347, 0.1694954264215225, 0.10990959609352402, -0.07904854488298109, -0.21772278431527967, 0.0748559728775786, -0.09538103725086122, -0.1318707080064154, -0.06700374024776404, -0.0145428366959095, -0.04881464950146541, -0.21168865967149714, 0.15318986212197166, 0.07091713221993723, 0.11060693141404264, -0.07243262469024717, -0.1136360795943429, -0.08082930674782686, 0.045266564315084946, 0.07295519682413104, 0.11658334571828334, 0.16892046606068142, -0.1734302695910915, -0.06545348157918693, 0.35372766859723165, -0.03961839571699888, -0.024717502186587394, 0.17298622173725958, -0.2527669677698372, -0.0910813182079852, 0.12780685209662923, 0.11097506766563794, 0.06372895332728357, -0.09324176305117424, 0.08636956889359687, -0.03223154862370692, 0.22410208429463813, 0.04816314459765868, 0.08309250834222957, 0.30000477553276506, 0.25772281618001275, 0.040173147380001994, 0.12671269154201117, -0.1374120858744812, -0.033941490203767216, -0.22977342478455914, -0.18165174284606123, -0.20579382973323082, 0.07117997989802302, -0.06854854802878015, -0.21278960645923878, 0.33437942586614183, 0.1885524213707837, 0.2584377163646105, -0.07560837471501389, 0.18874623552766093, 0.08802254371901337, 0.0701634855222132, 0.04285630495006206, 0.23010082061608766, 0.1537750223776538, 0.16879740660713638, -0.26143447446149315, 0.06169951851198437, 0.003806922589459975] |
707.2398 | Production of mesoscopic superpositions with ultracold atoms | We study mesoscopic superpositions of two component Bose-Einstein
condensates. Atomic condensates, with long coherence times, are good systems in
which to study such quantum phenomenon. We show that the mesoscopic
superposition states can be rapidly generated in which the atoms dispersively
interact with the photon field in a cavity. We also discuss the production of
compass states which are generalized Schr\"{o}dinger cat states. The physical
realization of mesoscopic states is important in studying decoherence and
precision measurement.
| quant-ph | we study mesoscopic superpositions of two component boseeinstein condensates atomic condensates with long coherence times are good systems in which to study such quantum phenomenon we show that the mesoscopic superposition states can be rapidly generated in which the atoms dispersively interact with the photon field in a cavity we also discuss the production of compass states which are generalized schrodinger cat states the physical realization of mesoscopic states is important in studying decoherence and precision measurement | [['we', 'study', 'mesoscopic', 'superpositions', 'of', 'two', 'component', 'boseeinstein', 'condensates', 'atomic', 'condensates', 'with', 'long', 'coherence', 'times', 'are', 'good', 'systems', 'in', 'which', 'to', 'study', 'such', 'quantum', 'phenomenon', 'we', 'show', 'that', 'the', 'mesoscopic', 'superposition', 'states', 'can', 'be', 'rapidly', 'generated', 'in', 'which', 'the', 'atoms', 'dispersively', 'interact', 'with', 'the', 'photon', 'field', 'in', 'a', 'cavity', 'we', 'also', 'discuss', 'the', 'production', 'of', 'compass', 'states', 'which', 'are', 'generalized', 'schrodinger', 'cat', 'states', 'the', 'physical', 'realization', 'of', 'mesoscopic', 'states', 'is', 'important', 'in', 'studying', 'decoherence', 'and', 'precision', 'measurement']] | [-0.16159702445737195, 0.30982596884094565, -0.07650730460156481, 0.05934669898200006, 0.05454629224229168, -0.1677629319926748, -0.041938529871464646, 0.36322520421696947, -0.24869832219918828, -0.22761889736397894, 0.0244606381112879, -0.3000729177630954, -0.0737221489793488, 0.17566487155008045, 0.03095521754282829, 0.09000186822921424, 0.07487223688029236, 0.0020672084533839255, 0.007422791651825046, -0.1945951971914861, 0.3419174332074918, -0.012142280441355081, 0.2972649977385224, 0.05494181383643058, 0.09294100526671906, -0.03164006548316835, 0.09600902502137756, -0.01787874044535996, -0.07923455126691298, 0.08701481639601097, 0.25932532810158543, 0.04940801072720583, 0.21573294748781952, -0.4914024680030423, -0.20553607957486014, 0.11103375891810162, 0.16660963287335132, 0.2582782605049116, -0.024805656628223597, -0.3746435305272991, -0.025433110327205875, -0.16882445392283527, -0.16406296630232753, -0.12313395143522844, 0.035687177159291296, 0.029295194428414106, -0.23023503261328035, 0.0840517048880476, 0.03273007427508544, 0.05317178793408751, -0.02416951442439738, -0.03806481946429068, 0.04602724974128333, 0.06286708525512005, -0.061908927289527155, -0.007895567675133223, 0.1656157388170431, -0.16659184885150813, -0.16463173353778465, 0.3672550932153479, -0.10387097560353094, -0.16862099387969476, 0.20099400264489187, -0.18001990946759652, -0.07657753325720595, 0.025628744364510497, 0.16166626224778108, 0.07439769678688668, -0.14026978089437855, -0.013930376462620235, -0.06952794429592112, 0.18665133822745608, 0.10348396448950682, 0.20606541385051685, 0.25989520790466625, 0.17934682912060193, 0.004838688764721155, 0.17291783173598785, -0.051185444626328236, -0.196101839702528, -0.30486365317596825, -0.19720763353896992, -0.2138210367048522, 0.12426006215830128, 0.004968594149089201, -0.12141392857150791, 0.40999992311533007, 0.14429447771497556, 0.1981742504814809, -0.07615135922005957, 0.24263961221297065, 0.14798286746485861, 0.05529613532851656, 0.010783120935371556, 0.25033438566152927, 0.19000418965595883, 0.024788966620123233, -0.2877358280352087, -0.04343637039237837, -0.015684639799178807] |
707.2399 | A New Technique for Heterodyne Spectroscopy: Least-Squares Frequency
Switching (LSFS) | We describe a new technique for heterodyne spectroscopy, which we call
Least-Squares Frequency Switching, or LSFS. This technique avoids the need for
a traditional reference spectrum, which--when combined with the on-source
spectrum--introduces both noise and systematic artifacts such as ``baseline
wiggles''. In contrast, LSFS derives the spectrum directly, and in addition the
instrumental gain profile. The resulting spectrum retains nearly the full
theoretical sensitivity and introduces no systematic artifacts.
Here we discuss mathematical details of the technique and use numerical
experiments to explore optimum observing schemas. We outline a modification
suitable for computationally difficult cases as the number of spectral channels
grows beyond several thousand. We illustrate the method with three real-life
examples. In one of practical interest, we created a large contiguous bandwidth
aligning three smaller bandwidths end-to-end; radio astronomers are often faced
with the need for a larger contiguous bandwidth than is provided with the
available correlator.
| astro-ph | we describe a new technique for heterodyne spectroscopy which we call leastsquares frequency switching or lsfs this technique avoids the need for a traditional reference spectrum whichwhen combined with the onsource spectrumintroduces both noise and systematic artifacts such as baseline wiggles in contrast lsfs derives the spectrum directly and in addition the instrumental gain profile the resulting spectrum retains nearly the full theoretical sensitivity and introduces no systematic artifacts here we discuss mathematical details of the technique and use numerical experiments to explore optimum observing schemas we outline a modification suitable for computationally difficult cases as the number of spectral channels grows beyond several thousand we illustrate the method with three reallife examples in one of practical interest we created a large contiguous bandwidth aligning three smaller bandwidths endtoend radio astronomers are often faced with the need for a larger contiguous bandwidth than is provided with the available correlator | [['we', 'describe', 'a', 'new', 'technique', 'for', 'heterodyne', 'spectroscopy', 'which', 'we', 'call', 'leastsquares', 'frequency', 'switching', 'or', 'lsfs', 'this', 'technique', 'avoids', 'the', 'need', 'for', 'a', 'traditional', 'reference', 'spectrum', 'whichwhen', 'combined', 'with', 'the', 'onsource', 'spectrumintroduces', 'both', 'noise', 'and', 'systematic', 'artifacts', 'such', 'as', 'baseline', 'wiggles', 'in', 'contrast', 'lsfs', 'derives', 'the', 'spectrum', 'directly', 'and', 'in', 'addition', 'the', 'instrumental', 'gain', 'profile', 'the', 'resulting', 'spectrum', 'retains', 'nearly', 'the', 'full', 'theoretical', 'sensitivity', 'and', 'introduces', 'no', 'systematic', 'artifacts', 'here', 'we', 'discuss', 'mathematical', 'details', 'of', 'the', 'technique', 'and', 'use', 'numerical', 'experiments', 'to', 'explore', 'optimum', 'observing', 'schemas', 'we', 'outline', 'a', 'modification', 'suitable', 'for', 'computationally', 'difficult', 'cases', 'as', 'the', 'number', 'of', 'spectral', 'channels', 'grows', 'beyond', 'several', 'thousand', 'we', 'illustrate', 'the', 'method', 'with', 'three', 'reallife', 'examples', 'in', 'one', 'of', 'practical', 'interest', 'we', 'created', 'a', 'large', 'contiguous', 'bandwidth', 'aligning', 'three', 'smaller', 'bandwidths', 'endtoend', 'radio', 'astronomers', 'are', 'often', 'faced', 'with', 'the', 'need', 'for', 'a', 'larger', 'contiguous', 'bandwidth', 'than', 'is', 'provided', 'with', 'the', 'available', 'correlator']] | [-0.10946937651709229, 0.04364320672541654, -0.03858482955834594, 0.09355151193964036, -0.10977481334109088, -0.1445632565645406, 0.06822142293945994, 0.4370706935736294, -0.24958617058677637, -0.32263127827167914, 0.12077397750579708, -0.2676813819027525, -0.12463365993969346, 0.23735048038232437, -0.06966171118424458, 0.06789198096486784, 0.08785470686599511, -0.05065531204422923, -0.09178645591660194, -0.1825908461116812, 0.26220899272463, 0.08614117747369114, 0.2878437680572423, 0.007355303657209488, 0.07496949574327236, 0.013571418786966273, -0.10325630797313995, 0.016373157463294156, -0.09991830425831127, 0.1051780510270892, 0.2543390255570285, 0.1550034699251964, 0.3062089356992926, -0.4054081551857343, -0.2044943689050305, 0.09321478757449761, 0.14156438313823724, 0.13192083624739606, -0.047849485888240895, -0.24168761517396387, 0.06298176760208749, -0.18829691919757902, -0.1321481720823161, -0.11533917683702545, -0.043989555495252616, 0.0043805600371342734, -0.27564527032909547, 0.06317336888838128, -0.004668001855286408, 0.07992635372246863, 0.00035488739178902437, -0.1429007482005372, 0.07104624348033702, 0.12104235331014711, 0.025654770257695875, -0.020787225694963423, 0.09415474196747071, -0.09734610252266078, -0.0817486657523455, 0.36887368183506997, -0.06567464157557637, -0.16845034398011813, 0.1789334013148965, -0.11208778269094777, -0.13548643064849888, 0.15930725234959806, 0.13414621239109914, 0.09348904293309264, -0.13406149200385525, 0.02406607514412022, 0.02215913738295132, 0.21790185105372348, 0.08883384537889438, 0.09283728551968527, 0.17397881125426237, 0.1833227207127097, 0.07316569732042777, 0.17760913607468004, -0.17267153949160893, -0.05190477860445271, -0.27778273575692153, -0.08836160793973348, -0.16933507342873533, 0.012096983475648627, -0.08313335802645239, -0.14195112892162043, 0.426099383495558, 0.1950580398536281, 0.168192640384089, 0.07082274883785951, 0.3726159179659218, 0.07869026033353492, 0.09464790665411524, 0.0442821674593756, 0.21228500117300725, 0.04618463888891092, 0.12060145795072878, -0.1819760361923931, 0.00473922683673651, -0.04569947456332798] |
707.24 | G-Compactness and Groups | Lascar described E_KP as a composition of E_L and the topological closure of
EL. We generalize this result to some other pairs of equivalence relations.
Motivated by an attempt to construct a new example of a non-G-compact theory,
we consider the following example. Assume G is a group definable in a structure
M. We define a structure M_0 consisting of M and X as two sorts, where X is an
affine copy of G and in M_0 we have the structure of M and the action of G on
X. We prove that the Lascar group of M_0 is a semi-direct product of the Lascar
group of M and G/G_L. We discuss the relationship between G-compactness of M
and M_0. This example may yield new examples of non-G-compact theories.
| math.LO math.AG | lascar described e_kp as a composition of e_l and the topological closure of el we generalize this result to some other pairs of equivalence relations motivated by an attempt to construct a new example of a nongcompact theory we consider the following example assume g is a group definable in a structure m we define a structure m_0 consisting of m and x as two sorts where x is an affine copy of g and in m_0 we have the structure of m and the action of g on x we prove that the lascar group of m_0 is a semidirect product of the lascar group of m and gg_l we discuss the relationship between gcompactness of m and m_0 this example may yield new examples of nongcompact theories | [['lascar', 'described', 'e_kp', 'as', 'a', 'composition', 'of', 'e_l', 'and', 'the', 'topological', 'closure', 'of', 'el', 'we', 'generalize', 'this', 'result', 'to', 'some', 'other', 'pairs', 'of', 'equivalence', 'relations', 'motivated', 'by', 'an', 'attempt', 'to', 'construct', 'a', 'new', 'example', 'of', 'a', 'nongcompact', 'theory', 'we', 'consider', 'the', 'following', 'example', 'assume', 'g', 'is', 'a', 'group', 'definable', 'in', 'a', 'structure', 'm', 'we', 'define', 'a', 'structure', 'm_0', 'consisting', 'of', 'm', 'and', 'x', 'as', 'two', 'sorts', 'where', 'x', 'is', 'an', 'affine', 'copy', 'of', 'g', 'and', 'in', 'm_0', 'we', 'have', 'the', 'structure', 'of', 'm', 'and', 'the', 'action', 'of', 'g', 'on', 'x', 'we', 'prove', 'that', 'the', 'lascar', 'group', 'of', 'm_0', 'is', 'a', 'semidirect', 'product', 'of', 'the', 'lascar', 'group', 'of', 'm', 'and', 'gg_l', 'we', 'discuss', 'the', 'relationship', 'between', 'gcompactness', 'of', 'm', 'and', 'm_0', 'this', 'example', 'may', 'yield', 'new', 'examples', 'of', 'nongcompact', 'theories']] | [-0.22275842313418195, 0.12267223099594943, -0.09792760270278132, 0.040085495262044586, -0.0812604258184336, -0.06800493738791417, 0.04513424353596444, 0.3648197339138105, -0.2783328474514068, -0.29802675387038596, 0.0730537596243685, -0.2557334634623239, -0.15936771323460908, 0.16530749665033664, -0.09282808620039196, -0.08530264930237853, -0.016337524428279952, 0.11799536829829098, -0.11667176376518217, -0.22485972306920246, 0.4001736797665852, -0.07416725978033528, 0.17962550862677515, 0.006133063675998341, 0.13515982630899145, -0.003477826208201429, -0.010200125967255898, 0.03835709200107625, -0.1876430725330595, 0.11995937722173357, 0.22841330423271136, 0.12643695438081132, 0.21960921080908663, -0.3326938587373921, -0.15785429437482168, 0.1438717547700637, 0.07151330786845869, -0.03470100897793022, -0.05461716948221216, -0.2481809222450783, 0.12606265495109947, -0.21219867769451367, -0.11545016030071392, -0.038315959093678326, 0.08736387176793955, -0.005108342417294071, -0.2587694978107706, -2.7631577621731492e-05, 0.11240426756604205, 0.06527515318954275, -0.030303844542700856, -0.11127541538712288, -0.05472684676744162, 0.11243383575319535, 0.015539999553261118, 0.03556084519784365, 0.07432737488610049, -0.07908557308837771, -0.10734080085309133, 0.3928129803684969, -0.10861475547472577, -0.16398075222969055, 0.1679349878972899, -0.16035165699080578, -0.17487992704402477, 0.02765634171812544, 0.11981151312670951, 0.17009219244891216, -0.0633654406101125, 0.19755996328817602, -0.14433215617660491, 0.13619532750269014, 0.04654638219388232, -0.005799472054821395, 0.14372842571520733, 0.16545403544561907, 0.09736688771203811, 0.13096074435152188, 0.000516804857253437, 0.049229942990230424, -0.3833634502712696, -0.21110567178333267, -0.136756743914226, 0.15592426902222786, -0.07076504744800909, -0.14717814167370163, 0.3477759138784475, 0.08595323103705481, 0.2558255555396456, 0.05199029567163615, 0.16740620504909506, 0.048479078526032116, 0.041859666140572654, 0.05126172773510454, 0.12212925954719096, 0.1990756365592547, -0.0657950819152156, -0.1654667509682772, -0.029640290091582942, 0.13602185866514604] |
707.2401 | Enhancement of the formation of ultracold $^{85}$Rb$_2$ molecules due to
resonant coupling | We have studied the effect of resonant electronic state coupling on the
formation of ultracold ground-state $^{85}$Rb$_2$. Ultracold Rb$_2$ molecules
are formed by photoassociation (PA) to a coupled pair of $0_u^+$ states,
$0_u^+(P_{1/2})$ and $0_u^+(P_{3/2})$, in the region below the $5S+5P_{1/2}$
limit. Subsequent radiative decay produces high vibrational levels of the
ground state, $X ^1\Sigma_g^+$. The population distribution of these $X$ state
vibrational levels is monitored by resonance-enhanced two-photon ionization
through the $2 ^1\Sigma_u^+$ state. We find that the populations of vibrational
levels $v''$=112$-$116 are far larger than can be accounted for by the
Franck-Condon factors for $0_u^+(P_{1/2}) \to X ^1\Sigma_g^+$ transitions with
the $0_u^+(P_{1/2})$ state treated as a single channel. Further, the
ground-state molecule population exhibits oscillatory behavior as the PA laser
is tuned through a succession of $0_u^+$ state vibrational levels. Both of
these effects are explained by a new calculation of transition amplitudes that
includes the resonant character of the spin-orbit coupling of the two $0_u^+$
states. The resulting enhancement of more deeply bound ground-state molecule
formation will be useful for future experiments on ultracold molecules.
| physics.atom-ph | we have studied the effect of resonant electronic state coupling on the formation of ultracold groundstate 85rb_2 ultracold rb_2 molecules are formed by photoassociation pa to a coupled pair of 0_u states 0_up_12 and 0_up_32 in the region below the 5s5p_12 limit subsequent radiative decay produces high vibrational levels of the ground state x 1sigma_g the population distribution of these x state vibrational levels is monitored by resonanceenhanced twophoton ionization through the 2 1sigma_u state we find that the populations of vibrational levels v112116 are far larger than can be accounted for by the franckcondon factors for 0_up_12 to x 1sigma_g transitions with the 0_up_12 state treated as a single channel further the groundstate molecule population exhibits oscillatory behavior as the pa laser is tuned through a succession of 0_u state vibrational levels both of these effects are explained by a new calculation of transition amplitudes that includes the resonant character of the spinorbit coupling of the two 0_u states the resulting enhancement of more deeply bound groundstate molecule formation will be useful for future experiments on ultracold molecules | [['we', 'have', 'studied', 'the', 'effect', 'of', 'resonant', 'electronic', 'state', 'coupling', 'on', 'the', 'formation', 'of', 'ultracold', 'groundstate', '85rb_2', 'ultracold', 'rb_2', 'molecules', 'are', 'formed', 'by', 'photoassociation', 'pa', 'to', 'a', 'coupled', 'pair', 'of', '0_u', 'states', '0_up_12', 'and', '0_up_32', 'in', 'the', 'region', 'below', 'the', '5s5p_12', 'limit', 'subsequent', 'radiative', 'decay', 'produces', 'high', 'vibrational', 'levels', 'of', 'the', 'ground', 'state', 'x', '1sigma_g', 'the', 'population', 'distribution', 'of', 'these', 'x', 'state', 'vibrational', 'levels', 'is', 'monitored', 'by', 'resonanceenhanced', 'twophoton', 'ionization', 'through', 'the', '2', '1sigma_u', 'state', 'we', 'find', 'that', 'the', 'populations', 'of', 'vibrational', 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707.2402 | Scalar Meson Spectroscopy with Lattice Staggered Fermions | With sufficiently light up and down quarks the isovector ($a_0$) and
isosinglet ($f_0$) scalar meson propagators are dominated at large distance by
two-meson states. In the staggered fermion formulation of lattice quantum
chromodynamics, taste-symmetry breaking causes a proliferation of two-meson
states that further complicates the analysis of these channels. Many of them
are unphysical artifacts of the lattice approximation. They are expected to
disappear in the continuum limit. The staggered-fermion fourth-root procedure
has its purported counterpart in rooted staggered chiral perturbation theory
(rSXPT). Fortunately, the rooted theory provides a strict framework that
permits the analysis of scalar meson correlators in terms of only a small
number of low energy couplings. Thus the analysis of the point-to-point scalar
meson correlators in this context gives a useful consistency check of the
fourth-root procedure and its proposed chiral realization. Through numerical
simulation we have measured correlators for both the $a_0$ and $f_0$ channels
in the ``Asqtad'' improved staggered fermion formulation in a lattice ensemble
with lattice spacing $a = 0.12$ fm. We analyze those correlators in the context
of rSXPT and obtain values of the low energy chiral couplings that are
reasonably consistent with previous determinations.
| hep-lat | with sufficiently light up and down quarks the isovector a_0 and isosinglet f_0 scalar meson propagators are dominated at large distance by twomeson states in the staggered fermion formulation of lattice quantum chromodynamics tastesymmetry breaking causes a proliferation of twomeson states that further complicates the analysis of these channels many of them are unphysical artifacts of the lattice approximation they are expected to disappear in the continuum limit the staggeredfermion fourthroot procedure has its purported counterpart in rooted staggered chiral perturbation theory rsxpt fortunately the rooted theory provides a strict framework that permits the analysis of scalar meson correlators in terms of only a small number of low energy couplings thus the analysis of the pointtopoint scalar meson correlators in this context gives a useful consistency check of the fourthroot procedure and its proposed chiral realization through numerical simulation we have measured correlators for both the a_0 and f_0 channels in the asqtad improved staggered fermion formulation in a lattice ensemble with lattice spacing a 012 fm we analyze those correlators in the context of rsxpt and obtain values of the low energy chiral couplings that are reasonably consistent with previous determinations | [['with', 'sufficiently', 'light', 'up', 'and', 'down', 'quarks', 'the', 'isovector', 'a_0', 'and', 'isosinglet', 'f_0', 'scalar', 'meson', 'propagators', 'are', 'dominated', 'at', 'large', 'distance', 'by', 'twomeson', 'states', 'in', 'the', 'staggered', 'fermion', 'formulation', 'of', 'lattice', 'quantum', 'chromodynamics', 'tastesymmetry', 'breaking', 'causes', 'a', 'proliferation', 'of', 'twomeson', 'states', 'that', 'further', 'complicates', 'the', 'analysis', 'of', 'these', 'channels', 'many', 'of', 'them', 'are', 'unphysical', 'artifacts', 'of', 'the', 'lattice', 'approximation', 'they', 'are', 'expected', 'to', 'disappear', 'in', 'the', 'continuum', 'limit', 'the', 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707.2403 | Photometric Redshifts and Signal-to-Noise | We investigate the impact of photometric signal-to-noise (S/N) on the
precision of photometric redshifts in multi-band imaging surveys, using both
simulations and real data. We simulate the optical 4-band (BVRz) Deep Lens
Survey (DLS, Wittman etal 2002), and use the publicly available Bayesian
Photometric Redshift code BPZ by Benitez (2000). The simulations include a
realistic range of magnitudes and colors and vary from infinite S/N to S/N=5.
The real data are from DLS photometry and two spectroscopic surveys, and
explore a range of S/N by adding noise to initially very high S/N photometry.
Precision degrades steadily as S/N drops, both because of direct S/N effects
and because lower S/N is linked to fainter galaxies with a weaker magnitude
prior. If a simple S/N cut were used, S/N>17 in R (corresponding, in the DLS,
to lower S/N in other bands) would be required to keep the scatter in Deltaz =
(zspec-zphot)/(1+zspec) to less than 0.1. However, cutting on ODDS (a measure
of the peakiness of the probability density function provided by BPZ) greater
than 0.4 provides roughly double the number of usable galaxies with the same
scatter. Ellipticals form the tightest zspec-zphot relation, and cutting on
type=elliptical provides better precision than the ODDS>0.9 cut, but this
eliminates the vast majority of galaxies in a deep survey. In addition to being
more efficient than a type cut, ODDS also has the advantages of working with
all types of galaxies (although ellipticals are overrepresented) and of being a
continuous parameter for which the severity of the cut can be adjusted as
desired.
| astro-ph | we investigate the impact of photometric signaltonoise sn on the precision of photometric redshifts in multiband imaging surveys using both simulations and real data we simulate the optical 4band bvrz deep lens survey dls wittman etal 2002 and use the publicly available bayesian photometric redshift code bpz by benitez 2000 the simulations include a realistic range of magnitudes and colors and vary from infinite sn to sn5 the real data are from dls photometry and two spectroscopic surveys and explore a range of sn by adding noise to initially very high sn photometry precision degrades steadily as sn drops both because of direct sn effects and because lower sn is linked to fainter galaxies with a weaker magnitude prior if a simple sn cut were used sn17 in r corresponding in the dls to lower sn in other bands would be required to keep the scatter in deltaz zspeczphot1zspec to less than 01 however cutting on odds a measure of the peakiness of the probability density function provided by bpz greater than 04 provides roughly double the number of usable galaxies with the same scatter ellipticals form the tightest zspeczphot relation and cutting on typeelliptical provides better precision than the odds09 cut but this eliminates the vast majority of galaxies in a deep survey in addition to being more efficient than a type cut odds also has the advantages of working with all types of galaxies although ellipticals are overrepresented and of being a continuous parameter for which the severity of the cut can be adjusted as desired | [['we', 'investigate', 'the', 'impact', 'of', 'photometric', 'signaltonoise', 'sn', 'on', 'the', 'precision', 'of', 'photometric', 'redshifts', 'in', 'multiband', 'imaging', 'surveys', 'using', 'both', 'simulations', 'and', 'real', 'data', 'we', 'simulate', 'the', 'optical', '4band', 'bvrz', 'deep', 'lens', 'survey', 'dls', 'wittman', 'etal', '2002', 'and', 'use', 'the', 'publicly', 'available', 'bayesian', 'photometric', 'redshift', 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0.06305533819018848, -0.029835671630858016] |
707.2404 | Regularity of Solutions to Second-Order Integral Functionals in
Variational Calculus | We obtain regularity conditions of a new type of problems of the calculus of
variations with second-order derivatives. As a corollary, we get non-occurrence
of the Lavrentiev phenomenon. Our main result asserts that autonomous integral
functionals of the calculus of variations with a Lagrangian having
superlinearity partial derivatives with respect to the higher-order derivatives
admit only minimizers with essentially bounded derivatives.
| math.OC | we obtain regularity conditions of a new type of problems of the calculus of variations with secondorder derivatives as a corollary we get nonoccurrence of the lavrentiev phenomenon our main result asserts that autonomous integral functionals of the calculus of variations with a lagrangian having superlinearity partial derivatives with respect to the higherorder derivatives admit only minimizers with essentially bounded derivatives | [['we', 'obtain', 'regularity', 'conditions', 'of', 'a', 'new', 'type', 'of', 'problems', 'of', 'the', 'calculus', 'of', 'variations', 'with', 'secondorder', 'derivatives', 'as', 'a', 'corollary', 'we', 'get', 'nonoccurrence', 'of', 'the', 'lavrentiev', 'phenomenon', 'our', 'main', 'result', 'asserts', 'that', 'autonomous', 'integral', 'functionals', 'of', 'the', 'calculus', 'of', 'variations', 'with', 'a', 'lagrangian', 'having', 'superlinearity', 'partial', 'derivatives', 'with', 'respect', 'to', 'the', 'higherorder', 'derivatives', 'admit', 'only', 'minimizers', 'with', 'essentially', 'bounded', 'derivatives']] | [-0.14790710826694478, 0.005571154327910455, -0.1252733076937863, 0.0692354829401755, -0.1386986726887341, -0.07778805055365455, -0.014898946348455597, 0.2933654217202155, -0.3102488465240744, -0.2738010465734272, 0.13187558901664176, -0.26427084406013374, -0.17103776439535814, 0.14589117134570098, -0.15241646615513524, 0.05181827194622306, 0.05137978211717039, 0.06832286495654309, -0.11790271129146157, -0.24652353414624442, 0.37084633875332895, -0.11406907504262234, 0.12931054076332538, 0.07710438088865065, 0.19130299380383087, -0.014780434970667616, -0.0002654680455500474, 0.019134031723207625, -0.16061424082739098, 0.16315242192005647, 0.23528333960986528, 0.03044814857669541, 0.3089241888679442, -0.4014827265846925, -0.20369500330969936, 0.11877470814668742, 0.040039341591420724, 0.0437073655250925, -0.006667720047054721, -0.2978967875547585, 0.08482199301179803, -0.11103151950863052, -0.2517413442923886, -0.10445078114261393, -0.011928207683758657, 0.1280135240589009, -0.29639451156874175, 0.13066371260821574, 0.1230144107439479, 0.0717877784598863, -0.11680713055472149, -0.09316578805904652, -0.053146046796263974, 0.03218005692250416, 0.08175093680620193, 0.00829978922351462, 0.03500490266157955, -0.07844421804928389, -0.1548002856157598, 0.36374317732502204, -0.13856233235021106, -0.2654799582962935, 0.1298196187517682, -0.15735900602074432, -0.16449577446843758, 0.1314409889097585, 0.07683404115960002, 0.21371890528158086, -0.0941874539998711, 0.12418094845335992, -0.009093233124643076, 0.14133581204614679, 0.15734553524888442, 0.10634592962527617, 0.05005061646282184, 0.08623195183081706, 0.19575639624820382, 0.1244916364275774, 0.014394209651490216, -0.1223161722930362, -0.43940097724133337, -0.1666013714246696, -0.10975319330320983, 0.0743690926551086, -0.12536229309101102, -0.26151035790957633, 0.3603032238048608, 0.09267813678769792, 0.13451987914130337, 0.16188024863845013, 0.2299349522370784, 0.22832592437043786, 0.07769635686131775, 0.017799747275707663, 0.1672916883205781, 0.19166650925381262, 0.11274282139970264, -0.1475280088097712, 0.09166091867554628, 0.15445412803879274] |
707.2405 | Lectures on Poisson groupoids | In these lecture notes, we give a quick account of the theory of Poisson
groupoids and Lie bialgebroids. In particular, we discuss the universal lifting
theorem and its applications including integration of quasi-Lie bialgebroids,
integration of Poisson Nijenhuis structures and Alekseev and
Kosmann-Schwarzbach's theory of D/G-momentum maps.
| math.DG | in these lecture notes we give a quick account of the theory of poisson groupoids and lie bialgebroids in particular we discuss the universal lifting theorem and its applications including integration of quasilie bialgebroids integration of poisson nijenhuis structures and alekseev and kosmannschwarzbachs theory of dgmomentum maps | [['in', 'these', 'lecture', 'notes', 'we', 'give', 'a', 'quick', 'account', 'of', 'the', 'theory', 'of', 'poisson', 'groupoids', 'and', 'lie', 'bialgebroids', 'in', 'particular', 'we', 'discuss', 'the', 'universal', 'lifting', 'theorem', 'and', 'its', 'applications', 'including', 'integration', 'of', 'quasilie', 'bialgebroids', 'integration', 'of', 'poisson', 'nijenhuis', 'structures', 'and', 'alekseev', 'and', 'kosmannschwarzbachs', 'theory', 'of', 'dgmomentum', 'maps']] | [-0.16369743425812985, 0.03851254432099975, -0.09942065369751718, 0.13670351285901333, -0.1413680288940668, -0.09444953116277853, 0.012447441571081679, 0.36330302150713073, -0.32976585593488483, -0.23574078862244885, 0.11753266979940236, -0.19896372347656224, -0.26798703550464575, 0.20453512734837, -0.16273784581571818, -0.05020424574742922, 0.033041315794818935, 0.008745046705007553, -0.16029814572797882, -0.2538866455097579, 0.42007954627689387, 0.06514596492052079, 0.23367911894391807, 0.07845545609792073, 0.19582348209288386, 0.030584624678724342, -0.11600353713664743, -0.028223049143950144, -0.17220005844202307, 0.18827175771196683, 0.3325244612163968, 0.01600621338519785, 0.21103600040078163, -0.44359322587649025, -0.08595676321743263, 0.04140919620792071, 0.057110649523221785, 0.05368948212514321, -0.030410324450996187, -0.3608786872898539, 0.07594351089662976, -0.22411921744545302, -0.11192809931106038, -0.12898122860739628, 0.037853122926834556, 0.0741499986499548, -0.14373162413636845, 0.04138567048228449, 0.17182381044452388, 0.12043249880274137, -0.1052645074436441, -0.08845797069370746, -0.024418061857836112, 0.08213763616772161, -0.04984881364636951, -0.06633144379076031, 0.14291513374385734, -0.08221006508813136, -0.22345798210137421, 0.3845271549291081, 0.0015848815648092163, -0.17377490525444347, 0.1328720053450929, -0.1112672459644576, -0.2426094837486744, 0.0530799177268313, 0.11134338695038525, 0.10494745436848865, -0.08641587214337455, 0.21355193836304048, -0.01830200046824757, -0.045241884804434244, 0.13516378317856126, 0.03015275266435411, 0.15298655418058235, 0.08840487018848459, 0.02188170042095913, 0.08234915261467297, 0.02057416792958975, -0.12492939351747433, -0.3999801628291607, -0.24713653582665657, -0.015068807701269785, 0.13697534940308995, -0.10329215263611534, -0.2439631649189525, 0.3768961440357897, 0.16823810356565647, 0.1614910364564922, 0.08247677592767609, 0.18854992513855298, 0.15161129312796726, 0.03339588531396455, -0.030524369763831296, 0.08992182546191746, 0.3602429054677486, 0.08890111734573213, -0.02126079284482532, -0.15095171792846587, 0.1895873675743739] |
707.2406 | Other representations of the Riemann Zeta function and an additional
reformulation of the Riemann Hypothesis | New expansions for some functions related to the Zeta function in terms of
the Pochhammer's polynomials are given (coefficients b(k), d(k), d_(k) and
d__(k). In some formal limit our expansion b(k) obtained via the alternating
series gives the regularized expansion of Maslanka for the Zeta function. The
real and the imaginary part of the function on the critical line is obtained
with a good accuracy up to Im(s) = t < 35.
Then, we give the expansion (coefficient d_(k)) for the derivative of
ln((s-1)\zeta(s)). The critical function of the derivative, whose bounded
values for Re(s) > 1/2 at large values of k should ensure the truth of the
Riemann Hypothesis (RH), is obtained either by means of the primes or by means
of the zeros (trivial and non-trivial) of the Zeta function. In a numerical
experiment performed up to high values of k i.e. up to k = 10^13 we obtain a
very good agreement between the two functions, with the emergence of twelve
oscillations with stable amplitude.
For a special case of values of the two parameters entering in the general
Pochhammer's expansion it is argued that the bound on the critical function
should be given by the Euler constant gamma.
| math.NT math-ph math.MP | new expansions for some functions related to the zeta function in terms of the pochhammers polynomials are given coefficients bk dk d_k and d__k in some formal limit our expansion bk obtained via the alternating series gives the regularized expansion of maslanka for the zeta function the real and the imaginary part of the function on the critical line is obtained with a good accuracy up to ims t 35 then we give the expansion coefficient d_k for the derivative of lns1zetas the critical function of the derivative whose bounded values for res 12 at large values of k should ensure the truth of the riemann hypothesis rh is obtained either by means of the primes or by means of the zeros trivial and nontrivial of the zeta function in a numerical experiment performed up to high values of k ie up to k 1013 we obtain a very good agreement between the two functions with the emergence of twelve oscillations with stable amplitude for a special case of values of the two parameters entering in the general pochhammers expansion it is argued that the bound on the critical function should be given by the euler constant gamma | [['new', 'expansions', 'for', 'some', 'functions', 'related', 'to', 'the', 'zeta', 'function', 'in', 'terms', 'of', 'the', 'pochhammers', 'polynomials', 'are', 'given', 'coefficients', 'bk', 'dk', 'd_k', 'and', 'd__k', 'in', 'some', 'formal', 'limit', 'our', 'expansion', 'bk', 'obtained', 'via', 'the', 'alternating', 'series', 'gives', 'the', 'regularized', 'expansion', 'of', 'maslanka', 'for', 'the', 'zeta', 'function', 'the', 'real', 'and', 'the', 'imaginary', 'part', 'of', 'the', 'function', 'on', 'the', 'critical', 'line', 'is', 'obtained', 'with', 'a', 'good', 'accuracy', 'up', 'to', 'ims', 't', '35', 'then', 'we', 'give', 'the', 'expansion', 'coefficient', 'd_k', 'for', 'the', 'derivative', 'of', 'lns1zetas', 'the', 'critical', 'function', 'of', 'the', 'derivative', 'whose', 'bounded', 'values', 'for', 'res', '12', 'at', 'large', 'values', 'of', 'k', 'should', 'ensure', 'the', 'truth', 'of', 'the', 'riemann', 'hypothesis', 'rh', 'is', 'obtained', 'either', 'by', 'means', 'of', 'the', 'primes', 'or', 'by', 'means', 'of', 'the', 'zeros', 'trivial', 'and', 'nontrivial', 'of', 'the', 'zeta', 'function', 'in', 'a', 'numerical', 'experiment', 'performed', 'up', 'to', 'high', 'values', 'of', 'k', 'ie', 'up', 'to', 'k', '1013', 'we', 'obtain', 'a', 'very', 'good', 'agreement', 'between', 'the', 'two', 'functions', 'with', 'the', 'emergence', 'of', 'twelve', 'oscillations', 'with', 'stable', 'amplitude', 'for', 'a', 'special', 'case', 'of', 'values', 'of', 'the', 'two', 'parameters', 'entering', 'in', 'the', 'general', 'pochhammers', 'expansion', 'it', 'is', 'argued', 'that', 'the', 'bound', 'on', 'the', 'critical', 'function', 'should', 'be', 'given', 'by', 'the', 'euler', 'constant', 'gamma']] | [-0.17037549175184746, 0.10138286274547378, -0.08146793104899236, 0.04583830125570202, -0.042155496721179825, 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0.11073648260976486] |
707.2407 | On Using the Rossiter Effect to Detect Terrestrial Planets | We explore the possibility that the transit signature of an Earth-size planet
can be detected in spectroscopic velocity shifts via the Rossiter effect. Under
optimistic but not unrealistic conditions, it should be possible to detect a
large terrestrial-size planet. While not suitable for discovering planets, this
method can be used to confirm suspected planets.
| astro-ph | we explore the possibility that the transit signature of an earthsize planet can be detected in spectroscopic velocity shifts via the rossiter effect under optimistic but not unrealistic conditions it should be possible to detect a large terrestrialsize planet while not suitable for discovering planets this method can be used to confirm suspected planets | [['we', 'explore', 'the', 'possibility', 'that', 'the', 'transit', 'signature', 'of', 'an', 'earthsize', 'planet', 'can', 'be', 'detected', 'in', 'spectroscopic', 'velocity', 'shifts', 'via', 'the', 'rossiter', 'effect', 'under', 'optimistic', 'but', 'not', 'unrealistic', 'conditions', 'it', 'should', 'be', 'possible', 'to', 'detect', 'a', 'large', 'terrestrialsize', 'planet', 'while', 'not', 'suitable', 'for', 'discovering', 'planets', 'this', 'method', 'can', 'be', 'used', 'to', 'confirm', 'suspected', 'planets']] | [-0.11397195223738284, 0.16323399974310263, -0.11472254465506584, 0.13046154424470538, -0.1960507395323711, -0.12725522909830841, 0.10937593981658143, 0.3676191075808472, -0.22180146040153448, -0.34259953122172093, 0.12296047446067894, -0.19524035444138227, -0.1392223707107068, 0.23365641571581364, -0.1191140864458349, 0.04275411912412555, 0.15430077653447236, -0.031514535278633786, 0.00578997767405343, -0.3111662243458408, 0.2506715004435844, 0.07439990872862162, 0.05327127810084709, 0.04957105828496559, -0.004657854395056212, -0.08158859851149221, 0.002020289310840545, -0.012399015068593953, -0.15416293343406762, -0.006669756749437915, 0.2847413189916147, 0.14875345521916947, 0.20891195958635458, -0.3647888590478235, -0.2374867620119066, 0.16978559021286113, 0.1921545629458571, 0.09243597309708733, -0.03237374936644402, -0.34146802468846243, 0.13877222149770846, -0.1644379698878361, -0.20939709037473356, -0.09560397853729902, 0.04192712545153444, -0.056167099453482985, -0.3067039601953217, 0.05667831126117596, 0.052902359386078186, 0.09433129127999698, -0.1027906061520938, -0.08208877339752184, -0.03513211056728054, 0.09220786801435882, 0.038997266096649344, -0.014441254027015358, 0.15395199577324092, -0.018054336753535877, -0.03093318624801382, 0.42630290543591537, -0.1372714409156254, -0.11691404851498427, 0.24147237257825005, -0.1901650607102999, -0.14585706135861715, 0.1523737338957963, 0.18069679268497835, 0.161052539082313, -0.21479485603049397, -0.05878714840272786, -0.021727262754683143, 0.21392796264478453, 0.09139183793147956, 0.037073720412553045, 0.4245545097661239, 0.08907265455841466, 0.12337253473837066, 0.05106040600609655, -0.23370869095540708, 0.024173075953041443, -0.17229442789943683, -0.17206814214242278, -0.16067501527464223, 0.01976791801226446, -0.0316690609626541, -0.09800690429768076, 0.3016349989230986, 0.2439583587822401, 0.16146125359874633, -0.01832029307950978, 0.28326062985730394, 0.10373672147936842, 0.18961576061944166, 0.0735688839038765, 0.3521466383503543, 0.04492428484890196, 0.04920391994097305, -0.2425401768543654, 0.1927737156877777, -0.06647252501850878] |
707.2408 | On the Eikonal Approximation in AdS Space | We explore the eikonal approximation to graviton exchange in AdS_5 space, as
relevant to scattering in gauge theories. We restrict ourselves to the regime
where conformal invariance of the dual gauge theory holds, and to large 't
Hooft coupling where the computation involves pure gravity. We give a heuristic
argument, a direct loop computation, and a shock wave derivation. The scalar
propagator in AdS_3 plays a key role, indicating that even at strong coupling,
two-dimensional conformal invariance controls high-energy four-dimensional
gauge-theory scattering.
| hep-th | we explore the eikonal approximation to graviton exchange in ads_5 space as relevant to scattering in gauge theories we restrict ourselves to the regime where conformal invariance of the dual gauge theory holds and to large t hooft coupling where the computation involves pure gravity we give a heuristic argument a direct loop computation and a shock wave derivation the scalar propagator in ads_3 plays a key role indicating that even at strong coupling twodimensional conformal invariance controls highenergy fourdimensional gaugetheory scattering | [['we', 'explore', 'the', 'eikonal', 'approximation', 'to', 'graviton', 'exchange', 'in', 'ads_5', 'space', 'as', 'relevant', 'to', 'scattering', 'in', 'gauge', 'theories', 'we', 'restrict', 'ourselves', 'to', 'the', 'regime', 'where', 'conformal', 'invariance', 'of', 'the', 'dual', 'gauge', 'theory', 'holds', 'and', 'to', 'large', 't', 'hooft', 'coupling', 'where', 'the', 'computation', 'involves', 'pure', 'gravity', 'we', 'give', 'a', 'heuristic', 'argument', 'a', 'direct', 'loop', 'computation', 'and', 'a', 'shock', 'wave', 'derivation', 'the', 'scalar', 'propagator', 'in', 'ads_3', 'plays', 'a', 'key', 'role', 'indicating', 'that', 'even', 'at', 'strong', 'coupling', 'twodimensional', 'conformal', 'invariance', 'controls', 'highenergy', 'fourdimensional', 'gaugetheory', 'scattering']] | [-0.1977189565361364, 0.20458111984700691, -0.07169899284249036, 0.14463768139049957, -0.15057520526347729, -0.18421151903003635, 0.013402073470898336, 0.3071787734175237, -0.1743046378535105, -0.20509590167643094, 0.022891925121146458, -0.24227996608355967, -0.15210981613661095, 0.07353284511510737, 0.030661669958002364, 0.03792630474753224, -0.01972337729842743, 0.03330143615489871, -0.08906688346391226, -0.19680581194996016, 0.32802601858814495, 0.033985828287990356, 0.25498971584957186, 0.10897183387608426, 0.1274988107133384, 0.11198213056479467, 0.009043744867440404, -0.04282872954123688, -0.12924845785049158, 0.06766254353413653, 0.25533431999544365, 0.021164974299963654, 0.18410030825109017, -0.45122136520903283, -0.2131244141846986, 0.05164960799057309, 0.19906286402923487, 0.16836067318643738, -0.0060783504315356654, -0.25571770017694045, 0.007736197388844519, -0.15236078149343774, -0.17134000039261923, -0.11178944482845708, 0.0025702673010528088, -0.1760052922181785, -0.29910460863512284, 0.07824366843248377, 0.022839344606348653, -0.010421095501131765, -0.015350461616635142, -0.0007526010570184487, -0.018838563735210676, 0.0645231917023477, 0.1613850174698888, 0.11522831681479768, 0.1428958076935598, -0.20815953735557452, -0.10641414236146729, 0.3919497610455969, -0.12333025733326994, -0.21764045348390937, 0.15421021650204572, -0.202810789560672, -0.19311859840300025, 0.09453878694827236, 0.1258038467409589, 0.1547025161136578, -0.09332392147402194, 0.2785962934069131, -0.02040736812217269, 0.09181235505199832, 0.13570953765884042, 0.09110961454812573, 0.2178670907415813, 0.08725450352606613, 0.03100831771451162, 0.1444644078430606, -0.010589428075657385, -0.1653151004461617, -0.4592933749393901, -0.13968013099780896, -0.12198330309503234, 0.14075892440539575, -0.1944037992145196, -0.1683397484125524, 0.2875538313329765, 0.15009358411380827, 0.12566089086098278, 0.07101668911509035, 0.21404863987118006, 0.15138623828676007, 0.09149622184610585, 0.07290528544860823, 0.29811872920112276, 0.20933724306069496, 0.09961441100188871, -0.2900698413893512, -0.12679065943968187, 0.20739966891024533] |
707.2409 | A New Planet Around an M Dwarf: Revealing a Correlation Between
Exoplanets and Stellar Mass | We report precise Doppler measurements of GJ317 (M3.5V) that reveal the
presence of a planet with a minimum mass Msini = 1.2 Mjup in an eccentric,
692.9 day orbit. GJ317 is only the third M dwarf with a Doppler-detected Jovian
planet. The residuals to a single-Keplerian fit show evidence of a possible
second orbital companion. The inclusion of an additional Jupiter-mass planet (P
= 2700 days, Msini = 0.83 Mjup) improves the quality of fit significantly,
reducing the rms from 12.5 m/s to 6.32 m/s. A false-alarm test yields a 1.1%
probability that the curvature in the residuals of the single-planet fit is due
to random fluctuations, lending additional credibility to the two-planet model.
However, our data only marginally constrain a two-planet fit and further
monitoring is necessary to fully characterize the properties of the second
planet. To study the effect of stellar mass on Jovian planet occurrence we
combine our samples of M stars, Solar-mass dwarfs and intermediate-mass
subgiants. We find a positive correlation between stellar mass and the
occurrence rate of Jovian planets within 2.5 AU; the former A-type stars in our
sample are nearly 5 times more likely than the M dwarfs to harbor a giant
planet. Our analysis shows that the correlation between Jovian planet
occurrence and stellar mass remains even after accounting for the effects of
stellar metallicity.
| astro-ph | we report precise doppler measurements of gj317 m35v that reveal the presence of a planet with a minimum mass msini 12 mjup in an eccentric 6929 day orbit gj317 is only the third m dwarf with a dopplerdetected jovian planet the residuals to a singlekeplerian fit show evidence of a possible second orbital companion the inclusion of an additional jupitermass planet p 2700 days msini 083 mjup improves the quality of fit significantly reducing the rms from 125 ms to 632 ms a falsealarm test yields a 11 probability that the curvature in the residuals of the singleplanet fit is due to random fluctuations lending additional credibility to the twoplanet model however our data only marginally constrain a twoplanet fit and further monitoring is necessary to fully characterize the properties of the second planet to study the effect of stellar mass on jovian planet occurrence we combine our samples of m stars solarmass dwarfs and intermediatemass subgiants we find a positive correlation between stellar mass and the occurrence rate of jovian planets within 25 au the former atype stars in our sample are nearly 5 times more likely than the m dwarfs to harbor a giant planet our analysis shows that the correlation between jovian planet occurrence and stellar mass remains even after accounting for the effects of stellar metallicity | [['we', 'report', 'precise', 'doppler', 'measurements', 'of', 'gj317', 'm35v', 'that', 'reveal', 'the', 'presence', 'of', 'a', 'planet', 'with', 'a', 'minimum', 'mass', 'msini', '12', 'mjup', 'in', 'an', 'eccentric', '6929', 'day', 'orbit', 'gj317', 'is', 'only', 'the', 'third', 'm', 'dwarf', 'with', 'a', 'dopplerdetected', 'jovian', 'planet', 'the', 'residuals', 'to', 'a', 'singlekeplerian', 'fit', 'show', 'evidence', 'of', 'a', 'possible', 'second', 'orbital', 'companion', 'the', 'inclusion', 'of', 'an', 'additional', 'jupitermass', 'planet', 'p', '2700', 'days', 'msini', '083', 'mjup', 'improves', 'the', 'quality', 'of', 'fit', 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707.241 | Interpreting the results of searches for gravitational waves from
coalescing binaries | We introduce a method based on the loudest event statistic to calculate an
upper limit or interval on the astrophysical rate of binary coalescence. The
calculation depends upon the sensitivity and noise background of the detectors,
and a model for the astrophysical distribution of coalescing binaries. There
are significant uncertainties in the calculation of the rate due to both
astrophysical and instrumental uncertainties as well as errors introduced by
using the post--Newtonian waveform to approximate the full signal. We catalog
these uncertainties in detail and describe a method for marginalizing over
them. Throughout, we provide an example based on the initial LIGO detectors.
| gr-qc | we introduce a method based on the loudest event statistic to calculate an upper limit or interval on the astrophysical rate of binary coalescence the calculation depends upon the sensitivity and noise background of the detectors and a model for the astrophysical distribution of coalescing binaries there are significant uncertainties in the calculation of the rate due to both astrophysical and instrumental uncertainties as well as errors introduced by using the postnewtonian waveform to approximate the full signal we catalog these uncertainties in detail and describe a method for marginalizing over them throughout we provide an example based on the initial ligo detectors | [['we', 'introduce', 'a', 'method', 'based', 'on', 'the', 'loudest', 'event', 'statistic', 'to', 'calculate', 'an', 'upper', 'limit', 'or', 'interval', 'on', 'the', 'astrophysical', 'rate', 'of', 'binary', 'coalescence', 'the', 'calculation', 'depends', 'upon', 'the', 'sensitivity', 'and', 'noise', 'background', 'of', 'the', 'detectors', 'and', 'a', 'model', 'for', 'the', 'astrophysical', 'distribution', 'of', 'coalescing', 'binaries', 'there', 'are', 'significant', 'uncertainties', 'in', 'the', 'calculation', 'of', 'the', 'rate', 'due', 'to', 'both', 'astrophysical', 'and', 'instrumental', 'uncertainties', 'as', 'well', 'as', 'errors', 'introduced', 'by', 'using', 'the', 'postnewtonian', 'waveform', 'to', 'approximate', 'the', 'full', 'signal', 'we', 'catalog', 'these', 'uncertainties', 'in', 'detail', 'and', 'describe', 'a', 'method', 'for', 'marginalizing', 'over', 'them', 'throughout', 'we', 'provide', 'an', 'example', 'based', 'on', 'the', 'initial', 'ligo', 'detectors']] | [-0.08170223866478603, 0.07039387462896891, -0.05307287078585873, 0.11877264716273662, -0.038751968770351225, -0.013799087709557373, 0.0882767813768491, 0.3520431671816024, -0.16448305315763048, -0.35668127144714, 0.1175379177252536, -0.2880384817502452, -0.08396297732359069, 0.2841690928060381, -0.031918268985322955, 0.0896553708346633, 0.09786800067256955, 0.017682820439024475, -0.09408809224740394, -0.2294093090973035, 0.3066029961591641, 0.16009303589252014, 0.21103129454535766, -0.006221901417429586, 0.14454761150437723, 0.025446617311246478, -0.11568413347964293, -0.04186987565848434, -0.15494186256207454, 0.04250228069541813, 0.23591562161375815, 0.16638855173623243, 0.18303822996366081, -0.37385767600634723, -0.21350213838289084, 0.09854191346365271, 0.10561080891367736, 0.14214091158999825, -0.041288867885545255, -0.30955998584723043, 0.06336591997663084, -0.23964934365697277, -0.07412783433152001, -0.039667102994252613, 0.03468945235447976, 0.06852130109932526, -0.2614263326870006, 0.08028433595340952, 0.061356417713822456, -0.02495171149850154, -0.058928593513962714, -0.1271256999863149, 0.03576232368596694, 0.09941891319281196, 0.06385577328896458, 0.026853021569815644, 0.14748464920331986, -0.10048440311700829, -0.08994050187203419, 0.3827553444442529, -0.0910549550814536, -0.21287675731752104, 0.13730328130192188, -0.1570945663278181, -0.14155727122611936, 0.1282124445791745, 0.2470553581403948, 0.12192602635438111, -0.15717058402748363, 0.06133970229217367, 0.09969382849747985, 0.20390098032008097, 0.056619646979351214, 0.035056578802415035, 0.2460586901446714, 0.16959881553120087, 0.049540616888372066, 0.11260099093049981, -0.21325721334947445, -0.05816656219076763, -0.32959961057504983, -0.07080471500284174, -0.15425271046058572, 0.039235846718176474, -0.11728401518668709, -0.18933392018622275, 0.3820591377347563, 0.2070918092413724, 0.18677940175335095, 0.03704523075896415, 0.32067375771421036, 0.12055843388345273, -0.001386770146709044, 0.04354226069289793, 0.2933079724480371, 0.12882127198028984, 0.02380869814163092, -0.19121920311082047, 0.09416130172920603, 0.02777072832720734] |
707.2411 | Pinning Complex Networks by a Single Controller | In this paper, without assuming symmetry, irreducibility, or linearity of the
couplings, we prove that a single controller can pin a coupled complex network
to a homogenous solution. Sufficient conditions are presented to guarantee the
convergence of the pinning process locally and globally. An effective approach
to adapt the coupling strength is proposed. Several numerical simulations are
given to verify our theoretical analysis.
| math.DS | in this paper without assuming symmetry irreducibility or linearity of the couplings we prove that a single controller can pin a coupled complex network to a homogenous solution sufficient conditions are presented to guarantee the convergence of the pinning process locally and globally an effective approach to adapt the coupling strength is proposed several numerical simulations are given to verify our theoretical analysis | [['in', 'this', 'paper', 'without', 'assuming', 'symmetry', 'irreducibility', 'or', 'linearity', 'of', 'the', 'couplings', 'we', 'prove', 'that', 'a', 'single', 'controller', 'can', 'pin', 'a', 'coupled', 'complex', 'network', 'to', 'a', 'homogenous', 'solution', 'sufficient', 'conditions', 'are', 'presented', 'to', 'guarantee', 'the', 'convergence', 'of', 'the', 'pinning', 'process', 'locally', 'and', 'globally', 'an', 'effective', 'approach', 'to', 'adapt', 'the', 'coupling', 'strength', 'is', 'proposed', 'several', 'numerical', 'simulations', 'are', 'given', 'to', 'verify', 'our', 'theoretical', 'analysis']] | [-0.1560521311614485, 0.0356063675230077, -0.08193977045575304, 0.031972801871926915, -0.09538695879561442, -0.1578816532393888, 0.02517561179341837, 0.4005118456063053, -0.2851804495153446, -0.2667750744592576, 0.10873962144019998, -0.21411438024647178, -0.17110979850108307, 0.15318882843435166, -0.05749725987986913, 0.08602183090434187, 0.06030966554369245, 0.036135684329247665, -0.04969177770221399, -0.27432197997982183, 0.29733476064921843, 0.04460733373545938, 0.311560414591065, 0.08070446796981352, 0.09359987119641451, -0.05196497054208839, 0.03821437463297376, 0.010975261681735338, -0.14097409108933154, 0.08782608618604995, 0.21238315704884747, 0.07535182688725255, 0.2683707766885322, -0.4359443369543269, -0.1911688625723833, 0.12468618892192368, 0.13387397252437142, 0.12386262185441049, -0.06510847122112792, -0.29618516236188863, 0.17614830882539825, -0.12872968802213788, -0.1763551377336539, -0.1438852392307054, -0.06871096085431794, 0.039319159415003566, -0.3872553775057433, 0.010532303637037763, 0.07958039710120786, 0.0331013858880079, -0.0989360760320865, -0.0027987981503385874, -0.03410942417510327, 0.10105431608907464, 0.027126191046720902, 0.0012200134436762522, 0.11644267606260698, -0.08696921634310413, -0.09423078638723209, 0.3453669437458591, -0.042297263954958274, -0.28668966224151, 0.21841066468521833, -0.08703218756746205, -0.11795073905811897, 0.12226989232595005, 0.15896974307381445, 0.11356004701542949, -0.17580234414587417, 0.0763252432493212, -0.04043383982091669, 0.19215606235795551, 0.014423569575661705, -0.02787291957804608, 0.11522448577341579, 0.18965070892775815, 0.1153052656556524, 0.12034061387003887, -0.017739330581019796, -0.10719106050710829, -0.36010682820859885, -0.11108572307294087, -0.16500389620676517, 0.06407709507500782, -0.10063838369618651, -0.1348218941240616, 0.3908507029658982, 0.18993625212608586, 0.1665616177155503, 0.1090466549383506, 0.28150680374413256, 0.12313467232115005, 0.027406338350995194, 0.05791342232583298, 0.26121276679138344, 0.15370102135449767, 0.0582127459938564, -0.2284458083958025, 0.05141101149280393, 0.053719891227840905] |
707.2412 | Digital resonance tuning of high-Q/Vm silicon photonic crystal
nanocavities by atomic layer deposition | We propose and demonstrate the digital resonance tuning of high-Q/Vm silicon
photonic crystal nanocavities using a self-limiting atomic layer deposition
technique. Control of resonances in discrete steps of 122 +/- 18 pm per hafnium
oxide atomic layer is achieved through this post-fabrication process, nearly
linear over a full 17 nm tuning range. The cavity Q is maintained in this
perturbative process, and can reach up to its initial values of 49,000 or more.
Our results are highly controllable, applicable to many material systems, and
particularly critical to matching resonances and transitions involving
mesoscopic optical cavities.
| cond-mat.mtrl-sci | we propose and demonstrate the digital resonance tuning of highqvm silicon photonic crystal nanocavities using a selflimiting atomic layer deposition technique control of resonances in discrete steps of 122 18 pm per hafnium oxide atomic layer is achieved through this postfabrication process nearly linear over a full 17 nm tuning range the cavity q is maintained in this perturbative process and can reach up to its initial values of 49000 or more our results are highly controllable applicable to many material systems and particularly critical to matching resonances and transitions involving mesoscopic optical cavities | [['we', 'propose', 'and', 'demonstrate', 'the', 'digital', 'resonance', 'tuning', 'of', 'highqvm', 'silicon', 'photonic', 'crystal', 'nanocavities', 'using', 'a', 'selflimiting', 'atomic', 'layer', 'deposition', 'technique', 'control', 'of', 'resonances', 'in', 'discrete', 'steps', 'of', '122', '18', 'pm', 'per', 'hafnium', 'oxide', 'atomic', 'layer', 'is', 'achieved', 'through', 'this', 'postfabrication', 'process', 'nearly', 'linear', 'over', 'a', 'full', '17', 'nm', 'tuning', 'range', 'the', 'cavity', 'q', 'is', 'maintained', 'in', 'this', 'perturbative', 'process', 'and', 'can', 'reach', 'up', 'to', 'its', 'initial', 'values', 'of', '49000', 'or', 'more', 'our', 'results', 'are', 'highly', 'controllable', 'applicable', 'to', 'many', 'material', 'systems', 'and', 'particularly', 'critical', 'to', 'matching', 'resonances', 'and', 'transitions', 'involving', 'mesoscopic', 'optical', 'cavities']] | [-0.11975745132858916, 0.1762894410990499, 0.003661861583109825, -0.06812031085768643, 0.0009342298232099061, -0.18883438695031868, 0.11180451866965341, 0.4647758598289182, -0.26292099758622145, -0.348372619238592, 0.06035894783143635, -0.26654144496687, -0.06036370811072571, 0.2239790374978936, 0.008061433271054299, 0.11730464770516846, 0.03201618946347666, -0.10131878260603194, -0.04955530739439431, -0.1915430172336518, 0.22783217904087838, 0.032840411128696574, 0.29041977226984517, 0.05573051418077641, 0.1072832231931839, -0.022895002119263173, 0.07927825736502807, -0.08310648606669518, -0.12239479733711128, 0.1262118442644996, 0.2724405123516717, -0.04576956930380034, 0.2660036599554587, -0.41685446075374083, -0.18611759889209945, 0.027042910226330322, 0.2044363626058624, 0.14109914588631803, -0.05640349861422819, -0.24255957599649186, 0.09933745103227275, -0.12980507473431288, -0.10238391774836728, -0.08505453445738362, -0.02351277236205836, -0.02678048229646138, -0.29545821049200593, 0.04477820357918659, 0.034279118882872724, 0.1021854647507851, -0.03352184674917891, -0.08927148430087474, -0.02966849935261072, 0.04368497628808742, -0.09382098784572596, 0.008017095096249094, 0.2655085795508918, -0.1044706813139861, -0.10723519533426971, 0.38515863128967825, -0.04042117708232454, -0.11152017706133906, 0.18309072308963345, -0.15703221935258116, -0.019999958677417648, 0.18484698961018234, 0.1599745043316826, 0.13714770767437193, -0.14857726149331096, 0.020151211827572797, 0.03488614755652605, 0.2699186821262883, 0.12594688117944747, 0.07540068133003129, 0.19034974569935473, 0.2368293645321041, 0.01988797036928415, 0.1432070593695126, -0.09940997788667559, -0.06026407276150039, -0.23287029789700622, -0.14669054784932203, -0.16679548000996952, 0.04156422499387014, -0.10395196324492234, -0.16791286482726053, 0.3781785589432524, 0.11744828339445815, 0.18531573070113055, -0.05484856919746005, 0.2342000284610236, 0.10491577051304561, 0.1203878812957555, -0.016281235081854688, 0.28573348244491925, 0.15902234616899683, 0.11829264365231759, -0.1941207309168393, 0.02083690470630323, -0.052576870347062744] |
707.2413 | Rare and forbidden decay of charm mesons at CLEO-c and BES-III | This paper presents the results of searches for the flavor-changing neutral
current, lepton-number-violating and lepton-flavor-violating processes in the
charm mesons decays. Recent results from charged $D$ mesons decays to final
states with dielectrons from CLEO-c are reported. The prospects of the searches
for the rare charm decays at BES-III are also discussed.
| hep-ex | this paper presents the results of searches for the flavorchanging neutral current leptonnumberviolating and leptonflavorviolating processes in the charm mesons decays recent results from charged d mesons decays to final states with dielectrons from cleoc are reported the prospects of the searches for the rare charm decays at besiii are also discussed | [['this', 'paper', 'presents', 'the', 'results', 'of', 'searches', 'for', 'the', 'flavorchanging', 'neutral', 'current', 'leptonnumberviolating', 'and', 'leptonflavorviolating', 'processes', 'in', 'the', 'charm', 'mesons', 'decays', 'recent', 'results', 'from', 'charged', 'd', 'mesons', 'decays', 'to', 'final', 'states', 'with', 'dielectrons', 'from', 'cleoc', 'are', 'reported', 'the', 'prospects', 'of', 'the', 'searches', 'for', 'the', 'rare', 'charm', 'decays', 'at', 'besiii', 'are', 'also', 'discussed']] | [-0.0306897672976797, 0.35355058464651495, -0.014240533229894936, 0.13974701291478525, -0.02646069973707199, -0.15501486993609712, 0.07161938782351521, 0.2456198651343584, -0.17030926838588828, -0.18236584932758257, -0.05821710745490586, -0.49699946971108705, 0.06031198251562623, 0.14776002042568648, 0.1458197307701294, 0.18346762041059825, 0.19356001565644804, -0.04267786196074807, -0.025665065293791346, -0.2109384840631929, 0.26434389057640845, 0.027981115675244767, 0.13937347067985684, 0.20378427280901143, -0.10973421901536103, -0.03098487471624349, -0.11926129768387629, -0.11927637028006408, -0.14851396147591564, 0.03249514605648493, 0.21260224637360528, 0.16424762401192522, 0.0827080848125311, -0.3485450359204641, -0.009430555931220833, 0.18505996311656558, 0.2188220689467226, 0.14536111029939583, -0.17736232350580394, -0.504405854556423, 0.14396443171426654, -0.14966838732540894, -0.06880158453714103, -0.1068894406959701, 0.015678562774645306, -0.05870826542377472, -0.3743395715092237, 0.09367513314030546, -0.13202101165930238, 0.0045066570679549705, -0.029363379168968935, -0.361582809772629, 0.024352429318241775, -0.03442945942067756, 0.2132664033449076, 0.09434192217528246, 0.20521606447604987, -0.21796296370806745, -0.30374849447980523, 0.3548667455593554, -0.07050366857080147, -0.16052172097261064, 0.21904266115206367, -0.2602122431047834, -0.20761343505448446, 0.1300965425773309, 0.2719696698925243, 0.04841904879476015, -0.2658188601131909, 0.15493567887796628, -0.03331268646825965, 0.06642407236190942, 0.016639980362155117, 0.1766497028337863, 0.21590743474483204, 0.27796188469689626, -0.059514446542240106, 0.0480757563177926, -0.08374858078045341, -0.006921043512053215, -0.4429464873929436, -0.12750988740187424, -0.013570351973892404, 0.06314044945443478, 0.057782318864225926, -0.026201607193797827, 0.41929450791436607, 0.05621578796909979, 0.309323196621755, 0.0028551556169986725, 0.3338992499674742, 0.023163408282786034, -0.01905376992474955, 0.08500802015455869, 0.37255818540087116, 0.16852253259947667, 0.24198250852238673, -0.26752789880041605, 0.04917705071812424, 0.009074556153231801] |
707.2414 | Global Exponential Stability of Delayed Periodic Dynamical Systems | In this paper, we discuss delayed periodic dynamical systems, compare
capability of criteria of global exponential stability in terms of various
$L^{p}$ ($1\le p<\infty$) norms. A general approach to investigate global
exponential stability in terms of various $L^{p}$ ($1\le p<\infty$) norms is
given. Sufficient conditions ensuring global exponential stability are given,
too. Comparisons of various stability criteria are given. More importantly, it
is pointed out that sufficient conditions in terms of $L^{1}$ norm are enough
and easy to implement in practice.
| math.DS | in this paper we discuss delayed periodic dynamical systems compare capability of criteria of global exponential stability in terms of various lp 1le pinfty norms a general approach to investigate global exponential stability in terms of various lp 1le pinfty norms is given sufficient conditions ensuring global exponential stability are given too comparisons of various stability criteria are given more importantly it is pointed out that sufficient conditions in terms of l1 norm are enough and easy to implement in practice | [['in', 'this', 'paper', 'we', 'discuss', 'delayed', 'periodic', 'dynamical', 'systems', 'compare', 'capability', 'of', 'criteria', 'of', 'global', 'exponential', 'stability', 'in', 'terms', 'of', 'various', 'lp', '1le', 'pinfty', 'norms', 'a', 'general', 'approach', 'to', 'investigate', 'global', 'exponential', 'stability', 'in', 'terms', 'of', 'various', 'lp', '1le', 'pinfty', 'norms', 'is', 'given', 'sufficient', 'conditions', 'ensuring', 'global', 'exponential', 'stability', 'are', 'given', 'too', 'comparisons', 'of', 'various', 'stability', 'criteria', 'are', 'given', 'more', 'importantly', 'it', 'is', 'pointed', 'out', 'that', 'sufficient', 'conditions', 'in', 'terms', 'of', 'l1', 'norm', 'are', 'enough', 'and', 'easy', 'to', 'implement', 'in', 'practice']] | [-0.15782388430060013, 0.046215673647016106, -0.08586840203102322, 0.18276472247268913, -0.030591039763142664, -0.16827683199202803, -0.009017814429373376, 0.4058614040230527, -0.2600175190521519, -0.21904779092213253, 0.21430783518043886, -0.17825792219351838, -0.1374128343836393, 0.16844934034506204, -0.13927078180383018, 0.13919367596369098, 0.06114044219232452, 0.037922322313174786, -0.1361784508055145, -0.3172954193741819, 0.29862209469695106, 0.030729714804041533, 0.25099088811534054, 0.0505923396953738, 0.009579695853186243, -0.04012199174641505, -0.024437648249951042, -0.0077651907908327785, -0.2172027432025061, 0.09791744302636311, 0.28279594635521926, 0.1638217401161882, 0.35268541841687245, -0.42513867950549833, -0.15334247568346285, 0.22506063298126797, 0.1592746750468871, 0.008547796304395169, -0.01588757279027903, -0.2228650965348438, 0.17100762408571663, -0.11916564040483883, -0.18175997464331212, -0.19202539442038094, 0.024379551575237447, 0.11031430997931754, -0.37609907026966044, 0.09055238271155107, 0.1377173953579687, 0.07737938018607689, -0.16910147201844755, -0.09589954923671659, -0.01138572188893356, 0.07764235380922019, 0.05378739582374692, -0.0350571874368154, 0.04356302860779343, -0.06515224420258568, -0.05603271320370244, 0.352151013634823, -0.018354946395301802, -0.2386487637543016, 0.22326677957446212, -0.13100455391772645, -0.1245640511624515, 0.07604353473881795, 0.1501594206640198, 0.14873061885620342, -0.1631840827104486, 0.13843319268342408, -0.0150549311225337, 0.12028668954232592, 0.11538061360472146, 0.14767817601081512, 0.0683409411598135, 0.10856855891782928, 0.18794113842563498, 0.167888708849564, 0.030838029376478338, -0.10230278136944514, -0.371591110104396, -0.10466437257630866, -0.12318477227731987, 0.006019434788160854, -0.1274489632598915, -0.10511125643726116, 0.3471262592960287, 0.12929867081528093, 0.1552863611644249, 0.08341738291050273, 0.22395414619327145, 0.0903694652248013, -0.03179531603454063, 0.036822359120120426, 0.2221253100598668, 0.15755746287960606, 0.0917276956922846, -0.19519467593205195, 0.08031933681096559, 0.11751139467620912] |
707.2415 | Rare-Earth Tetraborides RB$_4$: Analysis of Trends in the Electronic
Structure | Both the basic electronic structure of tetraborides, and the changes across
the lanthanide series in $R$B$_4$ ($R$ = rare earth) compounds, are studied
using the correlated band theory LDA+U method in the all-electron Full
Potential Local Orbital (FPLO) code. A set of boron bonding bands can be
identified that are well separated from the antibonding bands. Separately, the
``dimer B'' $2p_z$ orbital is non-bonding ({\it viz.} graphite and MgB$_2$),
and mixes strongly with the metal 4d or $5d$ states that form the conduction
states. The bonding bands are not entirely filled even for the trivalent
compounds (thus the cation $d$ bands have some filling), which accounts for the
lack of stability of this structure when the cations are divalent (with more
bonding states unfilled). The trends in the mean $4f$ level for both majority
and minority, and occupied and unoccupied, states are presented and
interpreted.
| cond-mat.mtrl-sci cond-mat.str-el | both the basic electronic structure of tetraborides and the changes across the lanthanide series in rb_4 r rare earth compounds are studied using the correlated band theory ldau method in the allelectron full potential local orbital fplo code a set of boron bonding bands can be identified that are well separated from the antibonding bands separately the dimer b 2p_z orbital is nonbonding it viz graphite and mgb_2 and mixes strongly with the metal 4d or 5d states that form the conduction states the bonding bands are not entirely filled even for the trivalent compounds thus the cation d bands have some filling which accounts for the lack of stability of this structure when the cations are divalent with more bonding states unfilled the trends in the mean 4f level for both majority and minority and occupied and unoccupied states are presented and interpreted | [['both', 'the', 'basic', 'electronic', 'structure', 'of', 'tetraborides', 'and', 'the', 'changes', 'across', 'the', 'lanthanide', 'series', 'in', 'rb_4', 'r', 'rare', 'earth', 'compounds', 'are', 'studied', 'using', 'the', 'correlated', 'band', 'theory', 'ldau', 'method', 'in', 'the', 'allelectron', 'full', 'potential', 'local', 'orbital', 'fplo', 'code', 'a', 'set', 'of', 'boron', 'bonding', 'bands', 'can', 'be', 'identified', 'that', 'are', 'well', 'separated', 'from', 'the', 'antibonding', 'bands', 'separately', 'the', 'dimer', 'b', '2p_z', 'orbital', 'is', 'nonbonding', 'it', 'viz', 'graphite', 'and', 'mgb_2', 'and', 'mixes', 'strongly', 'with', 'the', 'metal', '4d', 'or', '5d', 'states', 'that', 'form', 'the', 'conduction', 'states', 'the', 'bonding', 'bands', 'are', 'not', 'entirely', 'filled', 'even', 'for', 'the', 'trivalent', 'compounds', 'thus', 'the', 'cation', 'd', 'bands', 'have', 'some', 'filling', 'which', 'accounts', 'for', 'the', 'lack', 'of', 'stability', 'of', 'this', 'structure', 'when', 'the', 'cations', 'are', 'divalent', 'with', 'more', 'bonding', 'states', 'unfilled', 'the', 'trends', 'in', 'the', 'mean', '4f', 'level', 'for', 'both', 'majority', 'and', 'minority', 'and', 'occupied', 'and', 'unoccupied', 'states', 'are', 'presented', 'and', 'interpreted']] | [-0.12521154775539697, 0.18781552792643197, 0.020595880095950432, 0.07401960212721154, 0.046097950208402634, -0.17596833297607695, 0.10419348357875909, 0.40484764306650806, -0.2719215918853782, -0.2726410982431844, -0.032168693526020635, -0.3755552732101124, -0.1106831168888473, 0.06551146399093948, 0.0672973810449346, -0.06066282547544688, 0.03786036216721792, -0.07564307336643752, -0.10023731969138477, -0.20885328615097226, 0.2668699886740392, 0.03893846622991583, 0.2515470309040716, 0.07325393666704055, -0.05197208507969561, -0.0115759713775737, 0.10374533940598162, 0.026125603982816555, -0.07302127286655175, 0.1491951254821894, 0.28070328720221166, -0.03425127012693944, 0.19615679489490706, -0.4421833609877568, -0.1841323635453591, -0.0366507517513431, 0.11110119460499845, 0.13355117836080252, -0.024989634196572297, -0.2913913785919754, 0.04011593848149965, -0.14451306115855309, -0.08242944197910321, -0.11853202179756611, 0.010963505790439539, 0.02318030785035161, -0.21481803150042347, 0.11817680139534383, 0.022315017532997042, 0.10994195515134682, -0.18008072373373174, -0.23369321568558613, -0.19269179157304783, 0.08757031129243842, 0.03334683797664992, 0.01878828147346212, 0.12140509217473057, -0.05283638292813622, -0.061763966270114504, 0.45214935345575213, -0.03284361132520846, -0.11861664975327181, 0.21224507507092008, -0.20055176705742875, -0.09595381485350016, 0.1758292153244838, 0.061345518805359864, 0.10744826907951695, -0.10893975957525173, 0.11819743786691106, -0.010683968365709815, 0.16303544232182, 0.056135335414890304, 0.11567082366026524, 0.23999983697043112, 0.11515055108045796, 0.03066060608479246, 0.06928588983767743, -0.12889749907966083, -0.06597585609577233, -0.20231212730545345, -0.1933159486474728, -0.23329877085699183, -0.012459697442662017, -0.020484718878227188, -0.22251588214809695, 0.4308370285450817, 0.02725724206781403, 0.1437047509494328, -0.0784581627855611, 0.17026810296617137, 0.04757034194426524, 0.06742996253120105, 0.06866264500745779, 0.24166621782387665, 0.1358710221765149, 0.05486864694264821, -0.25317045122695464, 0.11463695483204599, 0.020727618432526167] |
707.2416 | Weak localization in GaMnAs: evidence of impurity band transport | We report the observation of negative magnetoresistance in the ferromagnetic
semiconductor GaMnAs at low temperatures ($T<3$ K) and low magnetic fields ($0<
B <20$ mT). We attribute this effect to weak localization. Observation of weak
localization provides a strong evidence of impurity band transport in these
materials, since for valence band transport one expects either weak
anti-localization due to strong spin-orbit interactions or total suppression of
interference by intrinsic magnetization. In addition to the weak localization,
we observe Altshuler-Aronov electron-electron interactions effect in this
material.
| cond-mat.mes-hall cond-mat.mtrl-sci | we report the observation of negative magnetoresistance in the ferromagnetic semiconductor gamnas at low temperatures t3 k and low magnetic fields 0 b 20 mt we attribute this effect to weak localization observation of weak localization provides a strong evidence of impurity band transport in these materials since for valence band transport one expects either weak antilocalization due to strong spinorbit interactions or total suppression of interference by intrinsic magnetization in addition to the weak localization we observe altshuleraronov electronelectron interactions effect in this material | [['we', 'report', 'the', 'observation', 'of', 'negative', 'magnetoresistance', 'in', 'the', 'ferromagnetic', 'semiconductor', 'gamnas', 'at', 'low', 'temperatures', 't3', 'k', 'and', 'low', 'magnetic', 'fields', '0', 'b', '20', 'mt', 'we', 'attribute', 'this', 'effect', 'to', 'weak', 'localization', 'observation', 'of', 'weak', 'localization', 'provides', 'a', 'strong', 'evidence', 'of', 'impurity', 'band', 'transport', 'in', 'these', 'materials', 'since', 'for', 'valence', 'band', 'transport', 'one', 'expects', 'either', 'weak', 'antilocalization', 'due', 'to', 'strong', 'spinorbit', 'interactions', 'or', 'total', 'suppression', 'of', 'interference', 'by', 'intrinsic', 'magnetization', 'in', 'addition', 'to', 'the', 'weak', 'localization', 'we', 'observe', 'altshuleraronov', 'electronelectron', 'interactions', 'effect', 'in', 'this', 'material']] | [-0.25876361233565737, 0.18857712100314744, 0.005347177949186196, 0.0909173273070551, -0.05468640527961885, -0.19736292081172851, 0.10229640558964628, 0.40061207514338415, -0.30688067082973086, -0.3269090013030697, -0.05297640024081749, -0.3211408588816138, -0.11116654038264909, 0.1282909026287277, 0.06237384045825285, -0.041103366806226616, 0.0023209394722738686, -0.06177734234164852, -0.08380176701911671, -0.1712163896573817, 0.2877027978654951, 0.01965862260583569, 0.31215437521938894, 0.1945684670799357, 0.013293170561904417, 0.0635351644938483, 0.11423213880728272, 0.053901483644457425, -0.1113441547669936, 0.01454606869203203, 0.23250261890318463, -0.19914045182933263, 0.22371201848282535, -0.41233675827217453, -0.18983782947282582, 0.002539554742329261, 0.10627241244758753, 0.18504886649658575, -0.08668202936978024, -0.30103428010993144, 0.076713423748665, -0.12485172030899455, -0.07574462486321436, -0.07905519458958331, 0.007603759926689021, -0.05750485099852085, -0.2639991062638514, 0.15691815698519349, 0.11773273145697792, 0.11738315864110037, -0.07095956414499703, -0.106742992394549, -0.0241696229971507, 0.0596445686320829, 0.11699170026489918, 0.04492297045174329, 0.13187086489599417, -0.15561157908591935, -0.10559563240556813, 0.32941344599513445, -0.15290151029167806, -0.03221638593822718, 0.24392713197671315, -0.2744662915575592, -0.08549718985827091, 0.20511014468091376, 0.1569481099736603, 0.07485709299388177, -0.14191204428891926, 0.0976610209518934, 0.028082980166244158, 0.158686694897273, -0.005245701563270653, 0.14107776102336014, 0.2527033962090226, 0.15856102896744714, 0.06270571119316361, 0.11578368262442595, -0.20072165129377562, 0.0465843517004567, -0.21636978256351808, -0.12401037477641641, -0.20557222705443992, 0.16709322266499785, -0.055642390135942736, -0.19891806506716153, 0.34262968230554286, 0.1994820715092561, 0.17819673166993785, -0.04242615455980687, 0.24224999040803488, 0.11782016009640167, 0.07356034686364343, 0.0030287578592405598, 0.33106676894514, 0.18100606283885154, 0.16494524254847098, -0.31312483706895045, 0.06929770866135025, -0.0037337475291946355] |
707.2417 | Identification of a chemotactic sensitivity in a coupled system | Chemotaxis is the process by which cells behave in a way that follows the
chemical gradient. Applications to bacteria growth, tissue inflammation, and
vascular tumors provide a focus on optimization strategies. Experiments can
characterize the form of possible chemotactic sensitivities. This paper
addresses the recovery of the chemotactic sensitivity from these experiments
while allowing for nonlinear dependence of the parameter on the state
variables. The existence of solutions to the forward problem is analyzed. The
identification of a chemotactic parameter is determined by inverse problem
techniques. Tikhonov regularization is investigated and appropriate convergence
results are obtained. Numerical results of concentration dependent chemotactic
terms are explored.
| math.OC math.AP | chemotaxis is the process by which cells behave in a way that follows the chemical gradient applications to bacteria growth tissue inflammation and vascular tumors provide a focus on optimization strategies experiments can characterize the form of possible chemotactic sensitivities this paper addresses the recovery of the chemotactic sensitivity from these experiments while allowing for nonlinear dependence of the parameter on the state variables the existence of solutions to the forward problem is analyzed the identification of a chemotactic parameter is determined by inverse problem techniques tikhonov regularization is investigated and appropriate convergence results are obtained numerical results of concentration dependent chemotactic terms are explored | [['chemotaxis', 'is', 'the', 'process', 'by', 'which', 'cells', 'behave', 'in', 'a', 'way', 'that', 'follows', 'the', 'chemical', 'gradient', 'applications', 'to', 'bacteria', 'growth', 'tissue', 'inflammation', 'and', 'vascular', 'tumors', 'provide', 'a', 'focus', 'on', 'optimization', 'strategies', 'experiments', 'can', 'characterize', 'the', 'form', 'of', 'possible', 'chemotactic', 'sensitivities', 'this', 'paper', 'addresses', 'the', 'recovery', 'of', 'the', 'chemotactic', 'sensitivity', 'from', 'these', 'experiments', 'while', 'allowing', 'for', 'nonlinear', 'dependence', 'of', 'the', 'parameter', 'on', 'the', 'state', 'variables', 'the', 'existence', 'of', 'solutions', 'to', 'the', 'forward', 'problem', 'is', 'analyzed', 'the', 'identification', 'of', 'a', 'chemotactic', 'parameter', 'is', 'determined', 'by', 'inverse', 'problem', 'techniques', 'tikhonov', 'regularization', 'is', 'investigated', 'and', 'appropriate', 'convergence', 'results', 'are', 'obtained', 'numerical', 'results', 'of', 'concentration', 'dependent', 'chemotactic', 'terms', 'are', 'explored']] | [-0.09044627278067527, 0.0967785825731144, -0.04876821218501954, 0.04529281453227062, -0.0821125672775365, -0.12454770366616902, 0.03181085731678953, 0.34089037979553855, -0.2716857636613505, -0.243712868035904, 0.1404388175645311, -0.2498486554693608, -0.21810306534171103, 0.19297633632307962, -0.07666288976601901, 0.09192027984009613, 0.062349811557769065, -0.01843341178055631, -0.00822101159830622, -0.23463724622769014, 0.2820388289345872, 0.041711103889558995, 0.28334784206180347, 0.036726490111045895, 0.1534015339910097, -0.04745774054012838, -0.04040000248877775, 0.035726536146830766, -0.20913990168157312, 0.11563657385829304, 0.26891949520934194, 0.13377725821697994, 0.32359458342904135, -0.42411352316183704, -0.2717433801364331, 0.11066209609575925, 0.16087001188841116, 0.0960778692238299, -0.07088472512994139, -0.2594825639079014, 0.07505382301197165, -0.07626956140378578, -0.1464230010053143, -0.09863124843686819, -0.03483831821275609, 0.0960764137606713, -0.328931755809823, 0.14677928011154845, 0.04025492165015922, 0.035892013043519994, -0.13073163187086936, -0.11847489721895683, -0.0038525794366640704, 0.11706121042758848, 0.10935027068009645, -0.029818848906350986, 0.22477696371663894, -0.17308453732791046, -0.11573862121329598, 0.3339764461741738, -0.027649550778525215, -0.2729764470572783, 0.19096241466523636, -0.09587359532181705, -0.08369772298084129, 0.12781327867082187, 0.18352214085115565, 0.1277917896086971, -0.1842756651075823, 0.0848778714946959, -0.0023430747733939263, 0.141146633064463, 0.07083271747632396, -0.024915782544052318, 0.0879173263846453, 0.2434078901917452, 0.10272844157048634, 0.11017891267048462, -0.06535952810109372, -0.07845133386962559, -0.24833973426194417, -0.12575113127628962, -0.14293998612889222, 0.01625698930694766, -0.1316886137414258, -0.12187492835468479, 0.3949758942349858, 0.1199207732054804, 0.19738460599910468, 0.04995467325650333, 0.2656134746436562, 0.1225641497676926, 0.014695763561342444, -0.04972518862979043, 0.24920061896444254, 0.11666712253132747, 0.12835602472270174, -0.3077493565655979, 0.16145419277960346, 0.06660183316673196] |
707.2418 | XMM-Newton unveils the type 2 nature of the BLRG 3C 445 | We present an observation of XMM-Newton that unambiguously reveals the
``Seyfert 2'' nature of the Broad Line Radio Galaxy 3C 445. For the first time
the soft excess of this source has been resolved. It consists of unobscured
scattered continuum flux and emission lines, likely produced in a warm
photoionized gas near the pole of an obscuring torus. The presence of
circumnuclear (likely stratified) matter is supported by the complex
obscuration of the nuclear region. Seventy percent of the nuclear radiation
(first component) is indeed obscured by a column density ~4*10^{23} cm^{-2},
and 30 % (second component) is filtered by ~7* 10^{22} cm^{-2}. The first
component is nuclear radiation directly observed by transmission through the
thicker regions. The second one is of more uncertain nature. If the observer
has a deep view into the nucleus but near the edge of the torus, it could be
light scattered by the inner wall of the torus and/or by photoionized gas
within the Broad Line Region observed through the thinner rim of the
circumnuclear matter.
| astro-ph | we present an observation of xmmnewton that unambiguously reveals the seyfert 2 nature of the broad line radio galaxy 3c 445 for the first time the soft excess of this source has been resolved it consists of unobscured scattered continuum flux and emission lines likely produced in a warm photoionized gas near the pole of an obscuring torus the presence of circumnuclear likely stratified matter is supported by the complex obscuration of the nuclear region seventy percent of the nuclear radiation first component is indeed obscured by a column density 41023 cm2 and 30 second component is filtered by 7 1022 cm2 the first component is nuclear radiation directly observed by transmission through the thicker regions the second one is of more uncertain nature if the observer has a deep view into the nucleus but near the edge of the torus it could be light scattered by the inner wall of the torus andor by photoionized gas within the broad line region observed through the thinner rim of the circumnuclear matter | [['we', 'present', 'an', 'observation', 'of', 'xmmnewton', 'that', 'unambiguously', 'reveals', 'the', 'seyfert', '2', 'nature', 'of', 'the', 'broad', 'line', 'radio', 'galaxy', '3c', '445', 'for', 'the', 'first', 'time', 'the', 'soft', 'excess', 'of', 'this', 'source', 'has', 'been', 'resolved', 'it', 'consists', 'of', 'unobscured', 'scattered', 'continuum', 'flux', 'and', 'emission', 'lines', 'likely', 'produced', 'in', 'a', 'warm', 'photoionized', 'gas', 'near', 'the', 'pole', 'of', 'an', 'obscuring', 'torus', 'the', 'presence', 'of', 'circumnuclear', 'likely', 'stratified', 'matter', 'is', 'supported', 'by', 'the', 'complex', 'obscuration', 'of', 'the', 'nuclear', 'region', 'seventy', 'percent', 'of', 'the', 'nuclear', 'radiation', 'first', 'component', 'is', 'indeed', 'obscured', 'by', 'a', 'column', 'density', '41023', 'cm2', 'and', '30', 'second', 'component', 'is', 'filtered', 'by', '7', '1022', 'cm2', 'the', 'first', 'component', 'is', 'nuclear', 'radiation', 'directly', 'observed', 'by', 'transmission', 'through', 'the', 'thicker', 'regions', 'the', 'second', 'one', 'is', 'of', 'more', 'uncertain', 'nature', 'if', 'the', 'observer', 'has', 'a', 'deep', 'view', 'into', 'the', 'nucleus', 'but', 'near', 'the', 'edge', 'of', 'the', 'torus', 'it', 'could', 'be', 'light', 'scattered', 'by', 'the', 'inner', 'wall', 'of', 'the', 'torus', 'andor', 'by', 'photoionized', 'gas', 'within', 'the', 'broad', 'line', 'region', 'observed', 'through', 'the', 'thinner', 'rim', 'of', 'the', 'circumnuclear', 'matter']] | [-0.0761736932251712, 0.10592099514752215, -0.04599871777874582, 0.03303232821019585, -0.06738778576391805, -0.0647835061282796, 0.021091988681377294, 0.4287610761273433, -0.18941979524405564, -0.30708319611628265, 0.09240144576589741, -0.2817200170473798, -0.005643491929068285, 0.14264119007001522, 0.0014202226196443114, -0.06957619424142382, -0.05077405722661163, -0.08335354293093962, 0.0037341192049686524, -0.19544340020442819, 0.33725410204531403, 0.10633575089998297, 0.16569807218825994, 0.053077159358423054, 0.06770583698252107, -0.05623456808902762, -0.06856827728779, -0.038631478042396555, -0.047568557174706844, 0.09837482689934618, 0.24569852208917248, 0.09077502216883551, 0.22097955303376213, -0.4016432294348145, -0.26598324024611536, 0.05555181837613311, 0.17778623253791867, -0.015762885177836698, -0.02905682305820793, -0.2849019221769755, 0.040162234419189834, -0.19179404438473285, -0.2024536671829136, 0.09555482250254821, 0.06471866681514417, -0.045085717382265585, -0.1760659269111998, 0.12398773279753239, 0.028267846597180537, 0.04453005987794741, -0.09567722989218858, -0.06237257744514329, -0.06352314530488323, 0.031755740731708046, 0.03127223932841683, 0.06098871506777975, 0.2752230372033356, -0.15785323897897102, -0.023120438334915568, 0.3887612079270184, -0.05493008664617424, 0.006128755573402433, 0.17902832923128326, -0.22955868384691283, -0.13753692826584857, 0.32792938377927333, 0.09131909720462691, 0.1266356530462337, -0.11429281795726103, 0.016915365614626993, -0.12648570474360468, 0.25235679098199504, 0.02085310367127771, 0.020576912148338605, 0.33174758258220904, 0.11490903241724214, 0.045023411517853246, 0.15452937302556272, -0.25287608994609295, -0.032982952655840884, -0.2924597096745856, -0.08857250873389763, -0.15514689814230864, 0.07615987142780796, -0.11053629843295579, -0.09093821794034311, 0.35522152952959435, 0.040622682299684076, 0.23497591605546939, -0.0658555781131487, 0.3520187769633006, 0.11113279302234706, 0.06715624671128086, 0.13774092742789756, 0.33399639426566224, 0.18458334084956304, 0.07582073817329193, -0.21047686346402555, 0.08013382491053027, -0.007535644471371437] |
707.2419 | Effective theory of color superconductivity | We briefly review an effective theory of QCD at high baryon density,
describing the relevant modes near the Fermi surface. The high density
effective theory has properties of reparametrization invariance and gauge
invariance, maintained in a subtle way. It also has a positive measure,
allowing lattice simulations at high baryon density. We then apply it to
gapless superconductors and discuss recent proposals to resolve the magnetic
instability of gapless superconductivity.
| hep-ph | we briefly review an effective theory of qcd at high baryon density describing the relevant modes near the fermi surface the high density effective theory has properties of reparametrization invariance and gauge invariance maintained in a subtle way it also has a positive measure allowing lattice simulations at high baryon density we then apply it to gapless superconductors and discuss recent proposals to resolve the magnetic instability of gapless superconductivity | [['we', 'briefly', 'review', 'an', 'effective', 'theory', 'of', 'qcd', 'at', 'high', 'baryon', 'density', 'describing', 'the', 'relevant', 'modes', 'near', 'the', 'fermi', 'surface', 'the', 'high', 'density', 'effective', 'theory', 'has', 'properties', 'of', 'reparametrization', 'invariance', 'and', 'gauge', 'invariance', 'maintained', 'in', 'a', 'subtle', 'way', 'it', 'also', 'has', 'a', 'positive', 'measure', 'allowing', 'lattice', 'simulations', 'at', 'high', 'baryon', 'density', 'we', 'then', 'apply', 'it', 'to', 'gapless', 'superconductors', 'and', 'discuss', 'recent', 'proposals', 'to', 'resolve', 'the', 'magnetic', 'instability', 'of', 'gapless', 'superconductivity']] | [-0.15186539546453526, 0.24138466662116115, -0.11618368408775755, 0.11178317914849946, -0.07068549125854458, -0.1357661561907402, 0.06994306423501777, 0.3297962456675512, -0.2153109938837588, -0.27009995600341685, 0.02824297531873786, -0.30673635681825023, -0.12024653564606394, 0.060954045703900714, 0.008412193373910018, 0.07206802251748741, -0.06556766158235924, 0.012061455067513244, -0.1507039933066283, -0.23085711957620722, 0.3031443417205342, 0.08645948846824467, 0.3535863572465522, 0.13577117389068008, 0.1039536317411278, -0.025416755410177367, 0.0010091363385851895, 0.037385710102639025, -0.21573483599349857, 0.07525609925921474, 0.2414842749014497, 0.004523852028484855, 0.20990764370986392, -0.4291122283254351, -0.26441294154418366, 0.026961097473810827, 0.14417100715051803, 0.2048049345612526, -0.06436210054006161, -0.2729867849166372, 0.09257878461586577, -0.16049535668322018, -0.24257042410816732, -0.1971559756302408, 0.0326532917363303, -0.08065926991403102, -0.18549804636942488, 0.11220387461736599, -0.03315477691856878, 0.08072554701731341, -0.05557247483271307, -0.058036440903587, -0.05883405755407044, 0.025019861852550614, 0.11672931124589273, 0.0952228887455671, 0.13934964682640774, -0.1841837984942166, -0.07402098599954375, 0.38436117938586645, -0.08064742089648332, -0.11437443170164313, 0.21488653302990965, -0.176429330278188, -0.19756774970197252, 0.12838203920982777, 0.1256265630546425, 0.06749714607638972, -0.09008641815744341, 0.13769543575222737, -0.01940369132872937, 0.11437811017635145, 0.045611570096973864, 0.09032071940600872, 0.32027420646377974, 0.17145726974122227, 0.0702424920696233, 0.05475163664668799, -0.06746722374643599, -0.010472465758877142, -0.34861642569303514, -0.1189489950558969, -0.19909723000600935, 0.031315944849380425, -0.05722165752293742, -0.14634447007306983, 0.3949420835290636, 0.1869620491151831, 0.17875559542860303, -0.028757066253040517, 0.2615262893327911, 0.1546713008079678, 0.07010806823049538, 0.06741560689572777, 0.21603125476145318, 0.21685706935822963, 0.09428555337446076, -0.30707263594626316, -0.07174139276778857, 0.06089046787404056] |
707.242 | Noise-Induced Sampling of Alternative Hamiltonian Paths in Quantum
Adiabatic Search | We numerically simulate the effects of noise-induced sampling of alternative
Hamiltonian paths on the ability of quantum adiabatic search (QuAdS) to solve
randomly generated instances of the NP-Complete problem N-bit Exact Cover 3.
The noise-averaged median runtime is determined as the noise-power and number
of bits N are varied, and power-law and exponential fits are made to the data.
Noise is seen to slowdown QuAdS, though a downward shift in the scaling
exponent is found for N > 12 over a range of noise-power values. We discuss
whether this shift might be connected to arguments in the literature that
suggest that altering the Hamiltonian path might benefit QuAdS performance.
| quant-ph | we numerically simulate the effects of noiseinduced sampling of alternative hamiltonian paths on the ability of quantum adiabatic search quads to solve randomly generated instances of the npcomplete problem nbit exact cover 3 the noiseaveraged median runtime is determined as the noisepower and number of bits n are varied and powerlaw and exponential fits are made to the data noise is seen to slowdown quads though a downward shift in the scaling exponent is found for n 12 over a range of noisepower values we discuss whether this shift might be connected to arguments in the literature that suggest that altering the hamiltonian path might benefit quads performance | [['we', 'numerically', 'simulate', 'the', 'effects', 'of', 'noiseinduced', 'sampling', 'of', 'alternative', 'hamiltonian', 'paths', 'on', 'the', 'ability', 'of', 'quantum', 'adiabatic', 'search', 'quads', 'to', 'solve', 'randomly', 'generated', 'instances', 'of', 'the', 'npcomplete', 'problem', 'nbit', 'exact', 'cover', '3', 'the', 'noiseaveraged', 'median', 'runtime', 'is', 'determined', 'as', 'the', 'noisepower', 'and', 'number', 'of', 'bits', 'n', 'are', 'varied', 'and', 'powerlaw', 'and', 'exponential', 'fits', 'are', 'made', 'to', 'the', 'data', 'noise', 'is', 'seen', 'to', 'slowdown', 'quads', 'though', 'a', 'downward', 'shift', 'in', 'the', 'scaling', 'exponent', 'is', 'found', 'for', 'n', '12', 'over', 'a', 'range', 'of', 'noisepower', 'values', 'we', 'discuss', 'whether', 'this', 'shift', 'might', 'be', 'connected', 'to', 'arguments', 'in', 'the', 'literature', 'that', 'suggest', 'that', 'altering', 'the', 'hamiltonian', 'path', 'might', 'benefit', 'quads', 'performance']] | [-0.1474763212285729, 0.16320752161899926, -0.06099236265031828, 0.08965335350701396, -0.07441726658133255, -0.16159770385948596, 0.09900241983080006, 0.40135578089393675, -0.28904244721073796, -0.3531391505945336, 0.06846249802253658, -0.2763219307633807, -0.10716469016969549, 0.21716283855709695, -0.07259217275444556, 0.05480021693114799, 0.0596304434929388, 0.024891283091468114, -0.04866971878800541, -0.27865786229570705, 0.23066918130785374, 0.03196491537231917, 0.21293711696785908, -0.0038741172584532586, 0.050517216649260024, -0.02296465380910646, -0.02125614289414241, 0.03672258435162129, -0.12148366806690723, 0.052851986975400465, 0.24832089901449056, 0.11309128438113947, 0.21553815392501377, -0.37153932198675144, -0.17530190835154993, 0.16334076602598308, 0.18747573567519862, 0.10306072143268669, 0.0036368012132933706, -0.23072065505699288, 0.10811948871263734, -0.1352291318277518, -0.13780931942164898, -0.024528115815310565, 0.06263201329555293, 0.018043619813397527, -0.257400612655113, 0.04155008475020252, 0.0475029124904217, 0.031002775983695215, -0.008754483783613305, -0.11294566286313865, 0.00893680482706124, 0.11296903851217832, 0.023940174225976482, 0.03766102655963213, 0.14196062827034406, -0.0947354372258781, -0.14741791844911253, 0.3661902921438148, -0.029773839150072524, -0.1577236800359161, 0.11536486385200449, -0.10410763989030211, -0.11508729361446092, 0.14657348453571709, 0.1360077210960703, 0.06902884543200748, -0.10672235310819277, 0.08995056644683548, -0.02683728685089456, 0.20919753712843414, 0.09011916068589522, 0.01753801934386569, 0.145906517687224, 0.10368465448522733, 0.06920531662008553, 0.14861061234626471, -0.07401654267407677, -0.1447994302423602, -0.23852380563901668, -0.09688671626887906, -0.20999537747681002, 0.0839998424980203, -0.12765567573781786, -0.15797996958200303, 0.35913237571474854, 0.18523674446192603, 0.20057909943473837, 0.10862463588515918, 0.24928065108273317, 0.12650488115980774, 0.053229198349678576, 0.09595572045071565, 0.20401436036357795, 0.10093726343647749, 0.04896487556376356, -0.2388409745267213, 0.07725617217969287, 0.03776832933174403] |
707.2421 | Distributive lattices defined for representations of rank two semisimple
Lie algebras | For a rank two root system and a pair of nonnegative integers, using only
elementary combinatorics we construct two posets. The constructions are uniform
across the root systems A1+A1, A2, C2, and G2. Examples appear in Figures 3.2
and 3.3. We then form the distributive lattices of order ideals of these
posets. Corollary 5.4 gives elegant quotient-of-products expressions for the
rank generating functions of these lattices (thereby providing answers to a
1979 question of Stanley). Also, Theorem 5.3 describes how these lattices
provide a new combinatorial setting for the Weyl characters of representations
of rank two semisimple Lie algebras. Most of these lattices are new; the rest
of them (or related structures) have arisen in work of Stanley, Kashiwara,
Nakashima, Littelmann, and Molev. In a future paper, one author shows that the
posets constructed here form a Dynkin diagram-indexed answer to a
combinatorially posed classification question. In a companion paper, some of
these lattices are used to explicitly construct some representations of rank
two semisimple Lie algebras. This implies that these lattices are strongly
Sperner.
| math.CO math.RT | for a rank two root system and a pair of nonnegative integers using only elementary combinatorics we construct two posets the constructions are uniform across the root systems a1a1 a2 c2 and g2 examples appear in figures 32 and 33 we then form the distributive lattices of order ideals of these posets corollary 54 gives elegant quotientofproducts expressions for the rank generating functions of these lattices thereby providing answers to a 1979 question of stanley also theorem 53 describes how these lattices provide a new combinatorial setting for the weyl characters of representations of rank two semisimple lie algebras most of these lattices are new the rest of them or related structures have arisen in work of stanley kashiwara nakashima littelmann and molev in a future paper one author shows that the posets constructed here form a dynkin diagramindexed answer to a combinatorially posed classification question in a companion paper some of these lattices are used to explicitly construct some representations of rank two semisimple lie algebras this implies that these lattices are strongly sperner | [['for', 'a', 'rank', 'two', 'root', 'system', 'and', 'a', 'pair', 'of', 'nonnegative', 'integers', 'using', 'only', 'elementary', 'combinatorics', 'we', 'construct', 'two', 'posets', 'the', 'constructions', 'are', 'uniform', 'across', 'the', 'root', 'systems', 'a1a1', 'a2', 'c2', 'and', 'g2', 'examples', 'appear', 'in', 'figures', '32', 'and', '33', 'we', 'then', 'form', 'the', 'distributive', 'lattices', 'of', 'order', 'ideals', 'of', 'these', 'posets', 'corollary', '54', 'gives', 'elegant', 'quotientofproducts', 'expressions', 'for', 'the', 'rank', 'generating', 'functions', 'of', 'these', 'lattices', 'thereby', 'providing', 'answers', 'to', 'a', '1979', 'question', 'of', 'stanley', 'also', 'theorem', '53', 'describes', 'how', 'these', 'lattices', 'provide', 'a', 'new', 'combinatorial', 'setting', 'for', 'the', 'weyl', 'characters', 'of', 'representations', 'of', 'rank', 'two', 'semisimple', 'lie', 'algebras', 'most', 'of', 'these', 'lattices', 'are', 'new', 'the', 'rest', 'of', 'them', 'or', 'related', 'structures', 'have', 'arisen', 'in', 'work', 'of', 'stanley', 'kashiwara', 'nakashima', 'littelmann', 'and', 'molev', 'in', 'a', 'future', 'paper', 'one', 'author', 'shows', 'that', 'the', 'posets', 'constructed', 'here', 'form', 'a', 'dynkin', 'diagramindexed', 'answer', 'to', 'a', 'combinatorially', 'posed', 'classification', 'question', 'in', 'a', 'companion', 'paper', 'some', 'of', 'these', 'lattices', 'are', 'used', 'to', 'explicitly', 'construct', 'some', 'representations', 'of', 'rank', 'two', 'semisimple', 'lie', 'algebras', 'this', 'implies', 'that', 'these', 'lattices', 'are', 'strongly', 'sperner']] | [-0.16817996657798012, 0.09505891956742571, -0.0421163408850142, 0.09222424995878205, -0.12827396149090303, -0.17367953017375545, 0.014393654882078829, 0.37236924577138325, -0.3196261013229512, -0.2297623171269183, 0.10611763352668183, -0.2605663413946339, -0.1819950754722618, 0.18294696963790566, -0.12082649608320326, -0.013017260899492728, 0.03185694867265922, 0.0553948324891359, -0.07372346982985535, -0.3804177634331877, 0.3848980716402734, -0.03763783881521509, 0.19694939905217704, 0.05974156952549224, 0.06585965285648328, -0.022318144332256835, -0.03418840966160501, -0.006682967861328338, -0.16226570006226784, 0.18986506401823638, 0.3228310986995331, 0.08998227272333437, 0.21705286178974748, -0.33370243778689146, -0.07204924999181762, 0.146548958974379, 0.15621301759508133, 0.07614071112572932, -0.0208572344369971, -0.24066019345699363, 0.07527597471257413, -0.21006194390679542, -0.14619769986094422, -0.10132091975302537, 0.0540583860613621, 0.014425553028832453, -0.22765167886552784, 0.006711212975865316, 0.15057643097313927, 0.14489953538989703, -0.07882446545644561, -0.17950468784066273, 0.002009560743002275, 0.08381117268390093, -0.0742773060897479, 0.0019606888251153033, 0.02926921856864167, -0.08206721832551805, -0.21769563274254827, 0.37704711456680834, 0.04599803675711693, -0.20949845517194168, 0.1810976155586756, -0.1512130890371321, -0.19120067709752742, 0.0977292693074728, 0.10818454649331684, 0.09609691193663768, -0.08443882450262204, 0.10378848793216566, -0.18166581919212219, 0.05685896117030239, 0.17531277289926317, 0.022257873944593647, 0.18491429880239887, 0.06051431027795538, 0.019080613676533964, 0.15184591415020599, 0.05082066809456402, -0.012266637765495591, -0.29872654817158606, -0.1517523988338478, -0.1430829998652176, 0.11061815344701613, -0.09218054964857154, -0.18188390285422693, 0.4092472709386981, 0.10247187762833443, 0.19867789973585592, 0.12172301169844867, 0.15150474006245504, 0.045007223877086805, 0.05856395621024976, 0.05104105519884498, 0.10646951015846201, 0.23146439172096034, 0.010857360574788269, -0.07958978181200188, -0.047603635433347995, 0.2302626729323771] |
707.2422 | Excitation spectrum of bosons in a finite one-dimensional circular
waveguide via the Bethe ansatz | The exactly solvable Lieb-Liniger model of interacting bosons in
one-dimension has attracted renewed interest as current experiments with
ultra-cold atoms begin to probe this regime. Here we numerically solve the
equations arising from the Bethe ansatz solution for the exact many-body wave
function in a finite-size system of up to twenty particles for attractive
interactions. We discuss the novel features of the solutions, and how they
deviate from the well-known string solutions [H. B. Thacker, Rev. Mod. Phys.\
\textbf{53}, 253 (1981)] at finite densities. We present excited state string
solutions in the limit of strong interactions and discuss their physical
interpretation, as well as the characteristics of the quantum phase transition
that occurs as a function of interaction strength in the mean-field limit.
Finally we compare our results to those of exact diagonalization of the
many-body Hamiltonian in a truncated basis. We also present excited state
solutions and the excitation spectrum for the repulsive 1D Bose gas on a ring.
| cond-mat.other cond-mat.stat-mech | the exactly solvable liebliniger model of interacting bosons in onedimension has attracted renewed interest as current experiments with ultracold atoms begin to probe this regime here we numerically solve the equations arising from the bethe ansatz solution for the exact manybody wave function in a finitesize system of up to twenty particles for attractive interactions we discuss the novel features of the solutions and how they deviate from the wellknown string solutions h b thacker rev mod phys textbf53 253 1981 at finite densities we present excited state string solutions in the limit of strong interactions and discuss their physical interpretation as well as the characteristics of the quantum phase transition that occurs as a function of interaction strength in the meanfield limit finally we compare our results to those of exact diagonalization of the manybody hamiltonian in a truncated basis we also present excited state solutions and the excitation spectrum for the repulsive 1d bose gas on a ring | [['the', 'exactly', 'solvable', 'liebliniger', 'model', 'of', 'interacting', 'bosons', 'in', 'onedimension', 'has', 'attracted', 'renewed', 'interest', 'as', 'current', 'experiments', 'with', 'ultracold', 'atoms', 'begin', 'to', 'probe', 'this', 'regime', 'here', 'we', 'numerically', 'solve', 'the', 'equations', 'arising', 'from', 'the', 'bethe', 'ansatz', 'solution', 'for', 'the', 'exact', 'manybody', 'wave', 'function', 'in', 'a', 'finitesize', 'system', 'of', 'up', 'to', 'twenty', 'particles', 'for', 'attractive', 'interactions', 'we', 'discuss', 'the', 'novel', 'features', 'of', 'the', 'solutions', 'and', 'how', 'they', 'deviate', 'from', 'the', 'wellknown', 'string', 'solutions', 'h', 'b', 'thacker', 'rev', 'mod', 'phys', 'textbf53', '253', '1981', 'at', 'finite', 'densities', 'we', 'present', 'excited', 'state', 'string', 'solutions', 'in', 'the', 'limit', 'of', 'strong', 'interactions', 'and', 'discuss', 'their', 'physical', 'interpretation', 'as', 'well', 'as', 'the', 'characteristics', 'of', 'the', 'quantum', 'phase', 'transition', 'that', 'occurs', 'as', 'a', 'function', 'of', 'interaction', 'strength', 'in', 'the', 'meanfield', 'limit', 'finally', 'we', 'compare', 'our', 'results', 'to', 'those', 'of', 'exact', 'diagonalization', 'of', 'the', 'manybody', 'hamiltonian', 'in', 'a', 'truncated', 'basis', 'we', 'also', 'present', 'excited', 'state', 'solutions', 'and', 'the', 'excitation', 'spectrum', 'for', 'the', 'repulsive', '1d', 'bose', 'gas', 'on', 'a', 'ring']] | [-0.12613098823094332, 0.14104850694566268, -0.05685849138026242, 0.06122609968806501, -0.010256853248574772, -0.1431533421506174, 0.05571462916122982, 0.3131015234364895, -0.23109481882420368, -0.24864904222777112, 0.03445138139286428, -0.3316186829819344, -0.12907615946314763, 0.13466650688060328, 0.06705627229093807, 0.07235534045030363, 0.04874651599529898, 0.011416776406986174, -0.1022505381195515, -0.19853239929507255, 0.2873349431720271, 0.03703918238388724, 0.24554064775293227, 0.0750415185262682, 0.06619969604362268, 0.00901574443851132, 0.07680320111103356, -0.0077923921664478256, -0.18793128596903444, 0.055341523181414234, 0.23976875266562275, 0.043393821570498405, 0.21738298661534827, -0.45300432870280927, -0.20206863360945135, 0.08366259307804284, 0.20856357909069628, 0.19776230638963171, -0.042958733819250486, -0.34371434556378516, -0.021289394389896188, -0.23950598635274217, -0.20355033387604635, -0.10743635212129447, 0.07289194647455588, 0.04764303917472716, -0.2378643067117082, 0.12106553474277462, 0.032393919479363834, 0.02999525113743857, -0.08719701425870881, -0.08994652803303324, 0.018352794309612362, 0.06770786141423742, 0.023791625910962465, 0.01925774673327396, 0.09412749382609036, -0.17699935249838744, -0.10182013830490177, 0.39287247936008496, -0.09835874750824587, -0.1654810335370712, 0.24498733287327923, -0.11925160180107923, -0.11839461280978866, 0.12166066757927183, 0.1424262872489635, 0.1100923992577009, -0.126952025690116, 0.15680774408865544, -0.07721011449893922, 0.12415735130998655, 0.03862505492725177, 0.05342747071117628, 0.20221720595145598, 0.12142671601031907, -0.003999425147594593, 0.17683353513857583, -0.05844373356521828, -0.1646980507153785, -0.2776431934085849, -0.11540692544222111, -0.21757187974872066, 0.08089014026654695, -0.029789875264123113, -0.15873984469562857, 0.41291937239293475, 0.17576914283417863, 0.189625428506406, 0.03009392750245752, 0.21566304725420196, 0.15799246777969528, -0.015792697924916867, 0.055587595500401224, 0.26814155136817136, 0.15966943464736688, 0.06968678849807475, -0.26677281295269495, -0.05071958157059271, 0.11721927428734488] |
707.2423 | WKB Propagation of Gaussian Wavepackets | We analyze the semiclassical evolution of Gaussian wavepackets in chaotic
systems. We prove that after some short time a Gaussian wavepacket becomes a
primitive WKB state. From then on, the state can be propagated using the
standard TDWKB scheme. Complex trajectories are not necessary to account for
the long-time propagation. The Wigner function of the evolving state develops
the structure of a classical filament plus quantum oscillations, with phase and
amplitude being determined by geometric properties of a classical manifold.
| nlin.CD | we analyze the semiclassical evolution of gaussian wavepackets in chaotic systems we prove that after some short time a gaussian wavepacket becomes a primitive wkb state from then on the state can be propagated using the standard tdwkb scheme complex trajectories are not necessary to account for the longtime propagation the wigner function of the evolving state develops the structure of a classical filament plus quantum oscillations with phase and amplitude being determined by geometric properties of a classical manifold | [['we', 'analyze', 'the', 'semiclassical', 'evolution', 'of', 'gaussian', 'wavepackets', 'in', 'chaotic', 'systems', 'we', 'prove', 'that', 'after', 'some', 'short', 'time', 'a', 'gaussian', 'wavepacket', 'becomes', 'a', 'primitive', 'wkb', 'state', 'from', 'then', 'on', 'the', 'state', 'can', 'be', 'propagated', 'using', 'the', 'standard', 'tdwkb', 'scheme', 'complex', 'trajectories', 'are', 'not', 'necessary', 'to', 'account', 'for', 'the', 'longtime', 'propagation', 'the', 'wigner', 'function', 'of', 'the', 'evolving', 'state', 'develops', 'the', 'structure', 'of', 'a', 'classical', 'filament', 'plus', 'quantum', 'oscillations', 'with', 'phase', 'and', 'amplitude', 'being', 'determined', 'by', 'geometric', 'properties', 'of', 'a', 'classical', 'manifold']] | [-0.1621932637412101, 0.18212387752719222, -0.17850176290376113, 0.10343862010049634, -0.0293066734840977, -0.10683319884119555, 0.021294825401855632, 0.3513500114902854, -0.30670442823320626, -0.1933983772643842, 0.09060229743627132, -0.22421426903456448, -0.14651937684975563, 0.17523064644483383, -0.011869487282820047, 0.08691755255567842, 0.08853510486660525, 0.06699423812096938, -0.09455630338779883, -0.18744954026478808, 0.33376333272462944, 0.02705856030079303, 0.23541758265346288, -0.04666756483347854, 0.11178907037246973, 0.03851966905640438, 0.027566579280392033, -0.009496112357010134, -0.11055795755446525, 0.031040977835073136, 0.15547015244083012, 0.10381985946150962, 0.272576224290242, -0.4757920323871076, -0.26271862114081157, 0.08416501277824864, 0.1680310708878096, 0.17478044892195613, -0.0074854623104329224, -0.3490719422872644, 0.04255898261617404, -0.11517098478507251, -0.1907095981470775, -0.08946528747910634, -0.003738072409760207, 0.027609707362717017, -0.2083820024265151, 0.13578752216417342, 0.05098971025727224, 0.004459025792311877, -0.04870633671525866, -0.03807893173070624, -0.009318267600610853, 0.10670076761743985, -0.017745789908804, 0.01294705804757541, 0.11972773299348774, -0.11066226614057087, -0.08275849362253211, 0.35760968226240947, -0.09096312420442701, -0.20523019460488284, 0.11933788521564566, -0.15985446430968295, -0.05238579518627375, 0.1659062683756929, 0.1374998093349859, 0.09856639871140942, -0.12876378721630316, 0.08313631670825998, 0.018842554721049964, 0.16645542368205496, 0.04633546370896511, 0.05222197520197369, 0.18226645627291874, 0.12282420472474768, 0.024102785377181135, 0.14847787559119752, -0.10030838195525575, -0.21229418974835426, -0.31262983868364247, -0.1478352303500287, -0.18179274952271954, 0.10511898681597813, -0.06502683715061722, -0.20761127098230645, 0.4449195547132604, 0.0830923801389872, 0.21852659916039557, 0.06148594060796313, 0.2923058077227324, 0.15985333109274508, -0.020919353363569825, 0.09362295237660874, 0.22604376861891068, 0.17870569850201717, 0.08745869531412609, -0.21088393332029226, 0.05513636317336932, 0.07296279350994155] |
707.2424 | The logarithmic Sobolev inequality along the Ricci flow | We derive a logarithmic Sobolev inequality along the Ricci flow without any
restriction on time, which depends only on the initial metric via rudimentary
geometric data, assuming only that a certain first eigenvalue is positive. As a
consequence we obtain a uniform Sobolev inequality along the Ricci flow without
any restriction on time. One application of it is a uniform kappa-noncollapsing
estimate which holds true for all time. We also obtain similar results for
bounded time without assuming the eigenvalue condition. The results extend to
the Ricci flow with surgeries.
| math.DG | we derive a logarithmic sobolev inequality along the ricci flow without any restriction on time which depends only on the initial metric via rudimentary geometric data assuming only that a certain first eigenvalue is positive as a consequence we obtain a uniform sobolev inequality along the ricci flow without any restriction on time one application of it is a uniform kappanoncollapsing estimate which holds true for all time we also obtain similar results for bounded time without assuming the eigenvalue condition the results extend to the ricci flow with surgeries | [['we', 'derive', 'a', 'logarithmic', 'sobolev', 'inequality', 'along', 'the', 'ricci', 'flow', 'without', 'any', 'restriction', 'on', 'time', 'which', 'depends', 'only', 'on', 'the', 'initial', 'metric', 'via', 'rudimentary', 'geometric', 'data', 'assuming', 'only', 'that', 'a', 'certain', 'first', 'eigenvalue', 'is', 'positive', 'as', 'a', 'consequence', 'we', 'obtain', 'a', 'uniform', 'sobolev', 'inequality', 'along', 'the', 'ricci', 'flow', 'without', 'any', 'restriction', 'on', 'time', 'one', 'application', 'of', 'it', 'is', 'a', 'uniform', 'kappanoncollapsing', 'estimate', 'which', 'holds', 'true', 'for', 'all', 'time', 'we', 'also', 'obtain', 'similar', 'results', 'for', 'bounded', 'time', 'without', 'assuming', 'the', 'eigenvalue', 'condition', 'the', 'results', 'extend', 'to', 'the', 'ricci', 'flow', 'with', 'surgeries']] | [-0.16088506899153193, 0.07140683856430567, -0.1243623969041639, 0.08343089910275821, -0.14420908488229744, -0.1736196323349658, 0.004686211351266441, 0.33540504003564514, -0.26445727037628075, -0.23399251457821163, 0.18893951434745557, -0.22579340701922773, -0.07076179392234837, 0.21752443502191454, -0.07023598748362726, 0.06194704917466475, 0.10184207276130716, 0.12486075417966479, -0.07888181277085096, -0.24284690415952354, 0.3965867013980945, -0.037682848144322635, 0.24333322731157145, 0.1437453031501112, 0.14739308099702209, -0.006828386496959461, 0.02061202431925469, 0.023139075086348587, -0.21896698908765555, 0.07670016807516933, 0.149651102675125, 0.08350455952911741, 0.2696573458611965, -0.4114142056554556, -0.23144271957377593, 0.2063054730080896, 0.10215978951503833, 0.08375418612785224, -0.053995936455774225, -0.2801050560341941, 0.12625990998413827, -0.055432302246077196, -0.161586718378304, -0.0655849628460904, -0.033346571897466974, 0.0209914183916731, -0.29725158580889305, 0.12825983839025462, 0.13285491345450282, 0.0350442282958991, -0.1326630332093272, -0.05110440146074527, -0.019459425709727737, 0.100868732518413, 0.056614856209812894, 0.06160716075424312, 0.0813342318042285, -0.07704121158975694, -0.055122115116359456, 0.3293571185061915, -0.14278344180848862, -0.27244061542054016, 0.09471406128464474, -0.1300292427548104, -0.13209936977752174, 0.05613003856398993, 0.14602169087156652, 0.1594811454984463, -0.07770359478632195, 0.12030610195878479, -0.11456152900225586, 0.17559715977145565, 0.13326277130723208, -0.008272521472018625, 0.03829674459217737, 0.0491004990413785, 0.23688650836961136, 0.14627638287428352, -0.01871293825873484, -0.08430181339176165, -0.3891672816955381, -0.21987025451122058, -0.23419147160861434, 0.1462974719496237, -0.21807115589165024, -0.1509001272627049, 0.3521871898116337, 0.04558291086513135, 0.23098071759773625, 0.1897099227030089, 0.29174929733077687, 0.12399061779465734, 0.060052364816268286, 0.15618579227270352, 0.20028482029835384, 0.12962150207410256, 0.12127210693951282, -0.13318771392934853, 0.0838282554772579, 0.15771245809268697] |
707.2425 | Wide-band spectroscopy of the Compton thick Seyfert 2 galaxy Mrk 3 with
Suzaku | We obtained a wide-band spectrum of the Compton-thick Seyfert 2 galaxy Mrk 3
with Suzaku. The observed spectrum was clearly resolved into weak, soft
power-law emission, a heavily absorbed power-law component, cold reflection,
and many emission lines. The heavily absorbed component, absorbed by gas with a
column density of 1.1x10^24 cm^-2, has an intrinsic 2--10 keV luminosity of
~1.6x10^43 erg s^-1, and is considered to be direct emission from the Mrk 3
nucleus. The reflection component was interpreted as reflection of the direct
light off cold, thick material; the reflection fraction $R$ was 1.36+/-0.20.
The cold material is inferred to be located > 1 pc from the central black hole
of Mrk 3 due to the low ionization parameter of iron (xi < 1 erg cm s^-1) and
the narrow iron line width (s < 22 eV). A Compton shoulder to the iron line was
detected, but the intensity of the shoulder component was less than that
expected from spherically distributed Compton-thick material. The weak, soft
power-law emission is considered to be scattered light by ionized gas. The
existence of many highly-ionized lines from O, Ne, Mg, Si, S, and Fe in the
observed spectrum indicates that the ionized gas has a broad ionized structure,
with xi=10--1000. The scattering fraction with respect to the direct light was
estimated to be 0.9+/-0.2%, which indicates that the column density of the
scattering region is about 3.6x10^22 cm^-2. This high-quality spectrum obtained
by Suzaku can be considered a template for studies of Seyfert 2 galaxies.
| astro-ph | we obtained a wideband spectrum of the comptonthick seyfert 2 galaxy mrk 3 with suzaku the observed spectrum was clearly resolved into weak soft powerlaw emission a heavily absorbed powerlaw component cold reflection and many emission lines the heavily absorbed component absorbed by gas with a column density of 11x1024 cm2 has an intrinsic 210 kev luminosity of 16x1043 erg s1 and is considered to be direct emission from the mrk 3 nucleus the reflection component was interpreted as reflection of the direct light off cold thick material the reflection fraction r was 136020 the cold material is inferred to be located 1 pc from the central black hole of mrk 3 due to the low ionization parameter of iron xi 1 erg cm s1 and the narrow iron line width s 22 ev a compton shoulder to the iron line was detected but the intensity of the shoulder component was less than that expected from spherically distributed comptonthick material the weak soft powerlaw emission is considered to be scattered light by ionized gas the existence of many highlyionized lines from o ne mg si s and fe in the observed spectrum indicates that the ionized gas has a broad ionized structure with xi101000 the scattering fraction with respect to the direct light was estimated to be 0902 which indicates that the column density of the scattering region is about 36x1022 cm2 this highquality spectrum obtained by suzaku can be considered a template for studies of seyfert 2 galaxies | [['we', 'obtained', 'a', 'wideband', 'spectrum', 'of', 'the', 'comptonthick', 'seyfert', '2', 'galaxy', 'mrk', '3', 'with', 'suzaku', 'the', 'observed', 'spectrum', 'was', 'clearly', 'resolved', 'into', 'weak', 'soft', 'powerlaw', 'emission', 'a', 'heavily', 'absorbed', 'powerlaw', 'component', 'cold', 'reflection', 'and', 'many', 'emission', 'lines', 'the', 'heavily', 'absorbed', 'component', 'absorbed', 'by', 'gas', 'with', 'a', 'column', 'density', 'of', '11x1024', 'cm2', 'has', 'an', 'intrinsic', '210', 'kev', 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707.2426 | Interpretation of relativistic, transverse, and longitudinal mass using
the Lorentz transformation of reference time: Explanation of time dilation
via spherical light clock | An interpretation of the inertial mass increase due to an object's velocity
which is derived from the theory of special relativity is discussed. A Lorentz
transformation of the reference time causes the inertial mass increase. It is
assumed that the real physical phenomenon that occurs is an expansion of the
reference time by a Lorentz transformation (that is, a dilation of time). Only
the reference time is assumed to be variant, which causes relativistic mass.
Time dilation is real. Relativistic mass originates in a Lorentz transformation
of reference time.
| physics.gen-ph | an interpretation of the inertial mass increase due to an objects velocity which is derived from the theory of special relativity is discussed a lorentz transformation of the reference time causes the inertial mass increase it is assumed that the real physical phenomenon that occurs is an expansion of the reference time by a lorentz transformation that is a dilation of time only the reference time is assumed to be variant which causes relativistic mass time dilation is real relativistic mass originates in a lorentz transformation of reference time | [['an', 'interpretation', 'of', 'the', 'inertial', 'mass', 'increase', 'due', 'to', 'an', 'objects', 'velocity', 'which', 'is', 'derived', 'from', 'the', 'theory', 'of', 'special', 'relativity', 'is', 'discussed', 'a', 'lorentz', 'transformation', 'of', 'the', 'reference', 'time', 'causes', 'the', 'inertial', 'mass', 'increase', 'it', 'is', 'assumed', 'that', 'the', 'real', 'physical', 'phenomenon', 'that', 'occurs', 'is', 'an', 'expansion', 'of', 'the', 'reference', 'time', 'by', 'a', 'lorentz', 'transformation', 'that', 'is', 'a', 'dilation', 'of', 'time', 'only', 'the', 'reference', 'time', 'is', 'assumed', 'to', 'be', 'variant', 'which', 'causes', 'relativistic', 'mass', 'time', 'dilation', 'is', 'real', 'relativistic', 'mass', 'originates', 'in', 'a', 'lorentz', 'transformation', 'of', 'reference', 'time']] | [-0.15765648753267159, 0.19691827193113812, -0.1186688329260587, 0.04250508709941478, -0.08180019230152784, -0.08348818658066265, -0.032769398822637505, 0.3511138054584101, -0.2709128728680564, -0.27987728960644664, 0.05116759894515147, -0.19703949007645166, -0.09698789355376464, 0.18609222930887442, -0.08075129096343946, 0.005336288446455859, 0.0193539988798916, 0.10219323570222667, -0.12904868270479813, -0.1616843449883163, 0.2974304858480026, 0.1432757979050263, 0.2516224721258276, -0.01152903474134843, 0.1284997614435433, -0.02175302609926864, -0.061414073106278194, 0.027176071000233126, -0.04010805092989716, -0.01604806762607245, 0.16297308880877628, 0.12050477028144209, 0.2807685702704312, -0.36202567855544976, -0.20560210061343281, 0.08925444737411617, 0.06708913805026016, 0.13832484613423854, -0.09104544804379176, -0.2675774231908864, -0.011032331201216479, -0.15832667448296306, -0.18812349498837014, 0.0025730206359052257, 0.11964267513222909, -0.044043822554097084, -0.2815372122953949, 0.15700121368370654, 0.06405224171833376, 0.003823261106323995, -0.10533054767364866, 0.02423532042532029, -0.016981363987152494, 0.09547481110471227, 0.14075580173240074, 0.10557384354198414, 0.18097187770174794, -0.04806894235564082, -0.07465423205134909, 0.5265895389439015, -0.03692769632789861, -0.19963205028165085, 0.17180010976447735, -0.1516970350155921, -0.0729742246795069, 0.1758323692719274, 0.15861576759999388, 0.09173474416366956, -0.1756020351470019, 0.09762379417216845, -0.08736717009268115, 0.2087815221336283, 0.09293044397209803, 0.009954494115467487, 0.17241337201610374, 0.12050034976407384, 0.0378852074840263, 0.05218678384135069, -0.08365584560408351, -0.09192283918264876, -0.3727172084382913, -0.18602862922223598, -0.22873036895899543, 0.07343604101726178, -0.11307990885852429, -0.13008860249093243, 0.3378466603272919, 0.1215964789512787, 0.20437989735013146, 0.029567257210800654, 0.3018074424916439, 0.19081195611297413, 0.12135332310049052, 0.0324684655283358, 0.2803369223276216, 0.13114970323127392, 0.11229079544251219, -0.24364680315503914, 0.049214086819733126, 0.09828440904397559] |
707.2427 | An extension of the Maskit slice for 4-dimensional Kleinian groups | Let $\Gamma$ be a 3-dimensional Kleinian punctured torus group with ccidental
parabolic transformations. The deformation space of $\Gamma$ in the group of
M\"{o}bius transformations on the 2-sphere is well-known as the Maskit slice of
punctured torus groups. In this paper, we study deformations $\Gamma'$ of
$\Gamma$ in the group of M\"{o}bius transformations on the 3-sphere such that
$\Gamma'$ does not contain screw parabolic transformations. We will show that
the space of the deformations is realized as a domain of 3-space
$\mathbb{R}^3$, which contains the Maskit slice of punctured torus groups as a
slice through a plane. Furthermore, we will show that the space also contains
the Maskit slice of fourth-punctured sphere groups as a slice through another
plane. Some of another slices of the space will be also studied.
| math.GT | let gamma be a 3dimensional kleinian punctured torus group with ccidental parabolic transformations the deformation space of gamma in the group of mobius transformations on the 2sphere is wellknown as the maskit slice of punctured torus groups in this paper we study deformations gamma of gamma in the group of mobius transformations on the 3sphere such that gamma does not contain screw parabolic transformations we will show that the space of the deformations is realized as a domain of 3space mathbbr3 which contains the maskit slice of punctured torus groups as a slice through a plane furthermore we will show that the space also contains the maskit slice of fourthpunctured sphere groups as a slice through another plane some of another slices of the space will be also studied | [['let', 'gamma', 'be', 'a', '3dimensional', 'kleinian', 'punctured', 'torus', 'group', 'with', 'ccidental', 'parabolic', 'transformations', 'the', 'deformation', 'space', 'of', 'gamma', 'in', 'the', 'group', 'of', 'mobius', 'transformations', 'on', 'the', '2sphere', 'is', 'wellknown', 'as', 'the', 'maskit', 'slice', 'of', 'punctured', 'torus', 'groups', 'in', 'this', 'paper', 'we', 'study', 'deformations', 'gamma', 'of', 'gamma', 'in', 'the', 'group', 'of', 'mobius', 'transformations', 'on', 'the', '3sphere', 'such', 'that', 'gamma', 'does', 'not', 'contain', 'screw', 'parabolic', 'transformations', 'we', 'will', 'show', 'that', 'the', 'space', 'of', 'the', 'deformations', 'is', 'realized', 'as', 'a', 'domain', 'of', '3space', 'mathbbr3', 'which', 'contains', 'the', 'maskit', 'slice', 'of', 'punctured', 'torus', 'groups', 'as', 'a', 'slice', 'through', 'a', 'plane', 'furthermore', 'we', 'will', 'show', 'that', 'the', 'space', 'also', 'contains', 'the', 'maskit', 'slice', 'of', 'fourthpunctured', 'sphere', 'groups', 'as', 'a', 'slice', 'through', 'another', 'plane', 'some', 'of', 'another', 'slices', 'of', 'the', 'space', 'will', 'be', 'also', 'studied']] | [-0.20657214952090125, 0.09990995368777268, -0.12870437837403825, 0.031207165326079808, -0.12472464374493895, -0.06809832684065062, -1.2315632926674163e-05, 0.4066691283928597, -0.3097335336011226, -0.17755954565964346, 0.14853087975185247, -0.2413003689785466, -0.15645224955959583, 0.2329437851788491, -0.13375466205839684, -0.04227823463422576, 0.024773182165918974, 0.08619660442680355, -0.1648094899178754, -0.24170128620544992, 0.38323737595846336, -0.03186547475102482, 0.18878875142623355, -0.00968960888947793, 0.09066298355506074, 0.04858775292894451, -0.018699949181924656, 0.021254742278820123, -0.18622239832998955, 0.08445593447050476, 0.21477510351834334, 0.03424258208210309, 0.16365081022720873, -0.34231409926231454, -0.24277530551895382, 0.15454958402735042, 0.1886716997910907, -0.031353738508187234, -0.041033693416022116, -0.2813876460885673, 0.04467593038850647, -0.10771577335036117, -0.17012462888543647, -0.002554602532346887, 0.03052994314082495, 0.0014043554909321972, -0.13763687604539623, -0.0036337270156671037, 0.08304902924386066, 0.05133554970801581, -0.031002261290898708, -0.01913681186324968, -0.12792560267518824, 0.13929901501589168, 0.023350104399934762, 0.11508734932711978, 0.1462264803025549, -0.04571606673980425, -0.11286870019847718, 0.4599706351053058, -0.05699966759897593, -0.3089805293065591, 0.1119895331400234, -0.2181962966904279, -0.1958721277311327, 0.17422563170530195, 0.15344412759767742, 0.1434173241155002, -0.024827592976860643, 0.213681892990538, -0.16566170797514634, 0.1139396471044738, 0.10565172201829164, -0.0565993467705163, 0.13712595199330116, 0.08529633960107297, 0.10505201611814537, 0.17782549688218557, -0.07538434853923955, 0.0023758331768390702, -0.43084609005728547, -0.26596350396623997, -0.14399759812595866, 0.11544741722619928, -0.08592489479828304, -0.21961455563207957, 0.3835502394922371, -0.04158786904272132, 0.1909986762769931, 0.08374489996949849, 0.18707903822165306, 0.008097947014158401, 0.10169292620097206, 0.06578799523917342, 0.11958788238089041, 0.12660338186042927, -0.062111734159613456, -0.12754873918941406, -0.09227169484384065, 0.18096043339813142] |
707.2428 | Detecting Directional Selection from the Polymorphism Frequency Spectrum | The distribution of genetic polymorphisms in a population contains
information about the mutation rate and the strength of natural selection at a
locus. Here, we show that the Poisson Random Field (PRF) method of
population-genetic inference suffers from systematic biases that tend to
underestimate selection pressures and mutation rates, and that erroneously
infer positive selection. These problems arise from the infinite-sites
approximation inherent in the PRF method. We introduce three new inference
techniques that correct these problems. We present a finite-site modification
of the PRF method, as well as two new methods for inferring selection pressures
and mutation rates based on diffusion models. Our methods can be used to infer
not only a "weighted average" of selection pressures acting on a gene sequence,
but also the distribution of selection pressures across sites. We evaluate the
accuracy of our methods, as well that of the original PRF approach, by
comparison with Wright-Fisher simulations.
| q-bio.PE | the distribution of genetic polymorphisms in a population contains information about the mutation rate and the strength of natural selection at a locus here we show that the poisson random field prf method of populationgenetic inference suffers from systematic biases that tend to underestimate selection pressures and mutation rates and that erroneously infer positive selection these problems arise from the infinitesites approximation inherent in the prf method we introduce three new inference techniques that correct these problems we present a finitesite modification of the prf method as well as two new methods for inferring selection pressures and mutation rates based on diffusion models our methods can be used to infer not only a weighted average of selection pressures acting on a gene sequence but also the distribution of selection pressures across sites we evaluate the accuracy of our methods as well that of the original prf approach by comparison with wrightfisher simulations | [['the', 'distribution', 'of', 'genetic', 'polymorphisms', 'in', 'a', 'population', 'contains', 'information', 'about', 'the', 'mutation', 'rate', 'and', 'the', 'strength', 'of', 'natural', 'selection', 'at', 'a', 'locus', 'here', 'we', 'show', 'that', 'the', 'poisson', 'random', 'field', 'prf', 'method', 'of', 'populationgenetic', 'inference', 'suffers', 'from', 'systematic', 'biases', 'that', 'tend', 'to', 'underestimate', 'selection', 'pressures', 'and', 'mutation', 'rates', 'and', 'that', 'erroneously', 'infer', 'positive', 'selection', 'these', 'problems', 'arise', 'from', 'the', 'infinitesites', 'approximation', 'inherent', 'in', 'the', 'prf', 'method', 'we', 'introduce', 'three', 'new', 'inference', 'techniques', 'that', 'correct', 'these', 'problems', 'we', 'present', 'a', 'finitesite', 'modification', 'of', 'the', 'prf', 'method', 'as', 'well', 'as', 'two', 'new', 'methods', 'for', 'inferring', 'selection', 'pressures', 'and', 'mutation', 'rates', 'based', 'on', 'diffusion', 'models', 'our', 'methods', 'can', 'be', 'used', 'to', 'infer', 'not', 'only', 'a', 'weighted', 'average', 'of', 'selection', 'pressures', 'acting', 'on', 'a', 'gene', 'sequence', 'but', 'also', 'the', 'distribution', 'of', 'selection', 'pressures', 'across', 'sites', 'we', 'evaluate', 'the', 'accuracy', 'of', 'our', 'methods', 'as', 'well', 'that', 'of', 'the', 'original', 'prf', 'approach', 'by', 'comparison', 'with', 'wrightfisher', 'simulations']] | [-0.027884795375478763, 0.025741343753955637, -0.07915981241501868, 0.11246369887919476, -0.061006675225993, -0.12940031094787022, 0.1361059722607024, 0.4154754714667797, -0.2761551094365617, -0.30192323031524815, 0.09002746675008287, -0.2085357454046607, -0.1731174663081765, 0.19155617280552784, -0.07930364919515948, 0.016827813105192036, 0.0805981198977679, 0.012110427270332973, -0.03820531295457234, -0.25724095276091247, 0.31613927578864, 0.06042302109611531, 0.3054257148038596, -0.01706771512205402, 0.13362397330522072, -0.00635062359389849, -0.05711333760370811, 0.06341029262791077, -0.1306446192317041, 0.11672312428311367, 0.24429733785288893, 0.18062419748554628, 0.3383621985465288, -0.34487784390027326, -0.24653478690733513, 0.0933885382891943, 0.14193508688360454, 0.19591137137108794, -0.05936070845928043, -0.23149256804026663, 0.07016956962722665, -0.14854547749312283, -0.05740753070102073, -0.09975644720097383, -0.054337508019525554, 0.08505279291731616, -0.32368321654386817, 0.1282150925915145, 0.052736054176154235, 0.0741471832121412, -0.06655340794939547, -0.20134066582657398, -0.01683172478651007, 0.1367718964543504, 0.06885799729575713, 0.014028014598879963, 0.17570245108256738, -0.11751923141317093, -0.1568411436288928, 0.3517094961926341, -0.07945395142926524, -0.2073267228761688, 0.23638595848189045, -0.10797409450945755, -0.16277640123541157, 0.13344068825244904, 0.19897024091643592, 0.1332896116329357, -0.16866835658128063, 0.012029795699442427, -0.00244056303674976, 0.1687114467844367, 0.06062717573717236, -0.022309652793531618, 0.1431912271430095, 0.16156424731443014, 0.05597161420931419, 0.08954629492557918, -0.16339081646874548, -0.08152830042876304, -0.26504249914859734, -0.10945783592159083, -0.14542806199441352, 0.029232327456993515, -0.12386096346774139, -0.2077098402225723, 0.36206665776049096, 0.21754646924945215, 0.2104958289458106, 0.1028086077311309, 0.26868074550914267, 0.0954158831317909, 0.1021983028028626, 0.03029692430049181, 0.14520123212675876, 0.11727137122458468, 0.040346262079353136, -0.24161425829476987, 0.12916681917384268, 0.04787373440107331] |
707.2429 | Simultaneous PIXE and RBS data analysis using Bayesian Inference with
the DataFurnace code | The Rutherford Backscattering Spectroscopy (RBS) and Particle Induced X-ray
Emission (PIXE) techniques can be used to obtain complementary information
about the characteristics of a sample but, traditionally, a gap has separated
the available computer codes for analyzing data from each technique, being hard
to simultaneously analyze data from the same sample. The recent development of
a free and open source library, LibCPIXE, for PIXE simulation and analysis of
arbitrary multilayered samples, has permitted to integrate this technique into
the DataFurnace code which already handles many other IBA techniques such as
Rutherford and non-Rutherford backscattering, elastic recoil detection, and
non-resonant nuclear reaction analysis. The fitting capabilities of DataFurnace
can therefore now be applied to PIXE spectra as well, including the Bayesian
Inference analysis and the simultaneous and coherent fitting of multiple
spectra from different techniques. Various examples are presented in which the
simultaneous RBS and PIXE analysis allows us to obtain consistent results that
cannot be obtained by independent analysis of the data from each technique.
| cond-mat.mtrl-sci | the rutherford backscattering spectroscopy rbs and particle induced xray emission pixe techniques can be used to obtain complementary information about the characteristics of a sample but traditionally a gap has separated the available computer codes for analyzing data from each technique being hard to simultaneously analyze data from the same sample the recent development of a free and open source library libcpixe for pixe simulation and analysis of arbitrary multilayered samples has permitted to integrate this technique into the datafurnace code which already handles many other iba techniques such as rutherford and nonrutherford backscattering elastic recoil detection and nonresonant nuclear reaction analysis the fitting capabilities of datafurnace can therefore now be applied to pixe spectra as well including the bayesian inference analysis and the simultaneous and coherent fitting of multiple spectra from different techniques various examples are presented in which the simultaneous rbs and pixe analysis allows us to obtain consistent results that cannot be obtained by independent analysis of the data from each technique | [['the', 'rutherford', 'backscattering', 'spectroscopy', 'rbs', 'and', 'particle', 'induced', 'xray', 'emission', 'pixe', 'techniques', 'can', 'be', 'used', 'to', 'obtain', 'complementary', 'information', 'about', 'the', 'characteristics', 'of', 'a', 'sample', 'but', 'traditionally', 'a', 'gap', 'has', 'separated', 'the', 'available', 'computer', 'codes', 'for', 'analyzing', 'data', 'from', 'each', 'technique', 'being', 'hard', 'to', 'simultaneously', 'analyze', 'data', 'from', 'the', 'same', 'sample', 'the', 'recent', 'development', 'of', 'a', 'free', 'and', 'open', 'source', 'library', 'libcpixe', 'for', 'pixe', 'simulation', 'and', 'analysis', 'of', 'arbitrary', 'multilayered', 'samples', 'has', 'permitted', 'to', 'integrate', 'this', 'technique', 'into', 'the', 'datafurnace', 'code', 'which', 'already', 'handles', 'many', 'other', 'iba', 'techniques', 'such', 'as', 'rutherford', 'and', 'nonrutherford', 'backscattering', 'elastic', 'recoil', 'detection', 'and', 'nonresonant', 'nuclear', 'reaction', 'analysis', 'the', 'fitting', 'capabilities', 'of', 'datafurnace', 'can', 'therefore', 'now', 'be', 'applied', 'to', 'pixe', 'spectra', 'as', 'well', 'including', 'the', 'bayesian', 'inference', 'analysis', 'and', 'the', 'simultaneous', 'and', 'coherent', 'fitting', 'of', 'multiple', 'spectra', 'from', 'different', 'techniques', 'various', 'examples', 'are', 'presented', 'in', 'which', 'the', 'simultaneous', 'rbs', 'and', 'pixe', 'analysis', 'allows', 'us', 'to', 'obtain', 'consistent', 'results', 'that', 'can', 'not', 'be', 'obtained', 'by', 'independent', 'analysis', 'of', 'the', 'data', 'from', 'each', 'technique']] | [0.0032210438583250636, 0.05515489090452675, -0.1381519260213259, 0.07237771981063572, -0.07864406145541225, -0.16740898915464286, 0.04311557607327747, 0.39968599306374064, -0.29266624481178727, -0.3608069292542229, 0.1308855803579762, -0.3016659710344201, -0.051457637040762276, 0.2784137061119886, 0.011052210258728847, 0.10682858271728747, 0.0984289431319822, -0.023123507864954995, -0.02804287767077501, -0.16123745185053318, 0.26409946683021945, 0.10777805054492158, 0.30913849884257993, 0.0412807521756693, 0.06298782217119168, 0.1013353773500634, -0.1125378755305286, 0.016921386151097534, -0.10427295609268895, 0.13117264683369728, 0.30863544120589587, 0.16016942363244085, 0.18078086472388993, -0.40437908091810576, -0.24421183389566112, 0.04270362434873255, 0.16072969864816092, 0.1268720674220609, -0.04210968560073525, -0.2849020923703636, 0.07021768673084586, -0.16449760423587045, -0.0938253841964846, -0.09576315650284835, -0.05201098401342212, 0.03850657709806067, -0.26963183982865657, 0.010549998498612606, 0.0032309231269542446, 0.04291634513178795, -0.0802210599241534, -0.1146919348265794, -0.0037244520435484535, 0.15312181910068343, 0.051109935764632214, 0.0008561457225147113, 0.14009133414024624, -0.05268655523016095, -0.144161422367821, 0.34185170922314795, -0.025624841379240246, -0.10028434054153722, 0.21358845493097495, -0.11289327767416381, -0.15133288597529074, 0.19461982913184683, 0.16874579932163014, 0.12000935549404836, -0.22962071681281598, 0.048809367869469544, -0.007497033479810897, 0.18620735312039713, 0.061244900994252685, 0.017942462275486168, 0.16605530659776044, 0.14073987864028867, -0.017080405260125324, 0.1250850324069644, -0.16166050739305252, -0.004561003270593085, -0.23271845998675506, -0.10354014826518279, -0.18056609495486156, 0.028102088608248754, -0.039547313838805324, -0.13020668897164486, 0.36866370486606637, 0.1216141047472952, 0.16750569450356656, -0.033962877931516255, 0.35214481219967325, 0.0870868323339581, 0.11748130531504569, 0.040450293979630236, 0.21539182768688855, 0.16163581224419632, 0.08609409010174071, -0.19971593473427474, 0.04912393493506853, -0.03570889157424795] |
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