id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
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711.1308 | E(5) and X(5) shape phase transitions within a Skyrme Hartree-Fock + BCS
approach | Self-consistent Skyrme Hartree-Fock plus BCS calculations are performed to
generate potential energy curves (PEC) in various chains of Pd, Xe, Ba, Nd, Sm,
Gd, and Dy isotopes. The evolution of shapes with the number of nucleons is
studied in a search for signatures of E(5) and X(5) critical point symmetries.
It is shown that the energy barriers in the PECs are determined to a large
extent by the treatment of the pairing correlations.
| nucl-th | selfconsistent skyrme hartreefock plus bcs calculations are performed to generate potential energy curves pec in various chains of pd xe ba nd sm gd and dy isotopes the evolution of shapes with the number of nucleons is studied in a search for signatures of e5 and x5 critical point symmetries it is shown that the energy barriers in the pecs are determined to a large extent by the treatment of the pairing correlations | [['selfconsistent', 'skyrme', 'hartreefock', 'plus', 'bcs', 'calculations', 'are', 'performed', 'to', 'generate', 'potential', 'energy', 'curves', 'pec', 'in', 'various', 'chains', 'of', 'pd', 'xe', 'ba', 'nd', 'sm', 'gd', 'and', 'dy', 'isotopes', 'the', 'evolution', 'of', 'shapes', 'with', 'the', 'number', 'of', 'nucleons', 'is', 'studied', 'in', 'a', 'search', 'for', 'signatures', 'of', 'e5', 'and', 'x5', 'critical', 'point', 'symmetries', 'it', 'is', 'shown', 'that', 'the', 'energy', 'barriers', 'in', 'the', 'pecs', 'are', 'determined', 'to', 'a', 'large', 'extent', 'by', 'the', 'treatment', 'of', 'the', 'pairing', 'correlations']] | [-0.12340000036893387, 0.14719818122940112, -0.05247545263360012, 0.13867678731514063, 0.04440676581675876, -0.15370167660437625, 0.05691531114280224, 0.35426895223455884, -0.21581266509139374, -0.2936729452483458, -0.06679908642768605, -0.37982064837666407, -0.0158384385493214, 0.1087207176901196, 0.056502872028656, 0.010798518380073651, 0.0012032000239530246, 0.03757618566694325, -0.11923979543953216, -0.23540104402560894, 0.288049424402033, 0.06875869100403091, 0.24337492314205594, 0.038452813400223544, -0.03338166101427417, 0.02876804769039154, 0.07142201892725408, 0.016980746257029576, -0.12588363108019845, 0.0775777123332636, 0.24696782376770288, 0.021375603999381196, 0.15625499588220496, -0.44551579950198733, -0.22672192021775417, 0.07980587204586562, 0.1122414711001648, 0.12904345033505343, -0.09354960613195108, -0.26198145023177133, 0.06505839776866496, -0.17049985002624254, -0.1604543739215356, -0.1173883528155211, 0.014588158297008031, 0.10252939493073253, -0.2672234368319177, 0.03225507788130478, 0.00558851951452559, 0.10115463283040149, -0.11108331091395796, -0.22498861645437676, -0.10296339971772459, 0.008737310639595331, 0.08792343110560555, 0.029397049542414407, 0.1153322055502093, -0.10074669080834249, -0.0638548517918648, 0.40062205230638587, -0.046254256025773204, -0.1507480212639577, 0.1361976991573425, -0.1347033319841713, -0.08489914576356357, 0.19647724967934702, 0.10004444100753698, 0.11153349259306919, -0.19251748108088154, 0.15416550896392037, 0.012332480322658913, 0.14632406254332475, 0.03190318265393989, 0.01742085429827032, 0.17036385623712655, 0.1623070836705092, -0.010780201459380046, 0.045125116723308926, -0.1699746026376849, -0.15647090683142617, -0.2785100117070626, -0.13026573757117946, -0.15481351467793528, 0.00355041759369308, -0.03691328683994034, -0.141940433967361, 0.36186652602500297, 0.04932020727723633, 0.18396205128782928, -0.05961885527318522, 0.2057422549999638, 0.08618800312739937, 0.0816799324924407, 0.027917612267479505, 0.2728138339820586, 0.18012121684964083, 0.07404650773291718, -0.27772471738647514, 0.020856881418507802, 0.0626499457539965] |
711.1309 | Evidence for a non-universal stellar initial mass function from the
integrated properties of SDSS galaxies | This paper revisits the classical Kennicutt method for inferring the stellar
initial mass function (IMF) from the integrated light properties of galaxies.
The large size, uniform high quality data set from the Sloan Digital Sky Survey
DR4 is combined with more in depth modeling and quantitative statistical
analysis to search for systematic IMF variations as a function of galaxy
luminosity. Galaxy H alpha equivalent widths are compared to a broadband color
index to constrain the IMF. This parameter space is useful for breaking
degeneracies which are traditionally problematic. Age and dust corrections are
largely orthogonal to IMF variations. In addition the effects of metallicity
and smooth star formation history e-folding times are small compared to IMF
variations. We find that for the sample as a whole the best fitting IMF slope
above 0.5 M_sun is Gamma = 1.4535 with a negligible random error of +/- 0.0004
and a systematic error of +/- 0.1. Galaxies brighter than around M_r,0.1 = -20
(including galaxies like the Milky Way which has M_r,0.1 ~ -21) are well fit by
a universal Gamma ~ 1.4 IMF, similar to Salpeter, and smooth, exponential star
formation histories (SFH). Fainter galaxies prefer steeper IMFs and the quality
of the fits reveal that for these galaxies a universal IMF with smooth SFHs is
actually a poor assumption. Several sources of sample bias are ruled out as the
cause of these luminosity dependent IMF variations. Analysis of bursting SFH
models shows that an implausible coordination of burst times is required to fit
a universal IMF to the M_r,0.1 = -17 galaxies. This leads to the conclusions
that the IMF in low luminosity galaxies has fewer massive stars, either by
steeper slope or lower upper mass cutoff, and is not universal.
| astro-ph | this paper revisits the classical kennicutt method for inferring the stellar initial mass function imf from the integrated light properties of galaxies the large size uniform high quality data set from the sloan digital sky survey dr4 is combined with more in depth modeling and quantitative statistical analysis to search for systematic imf variations as a function of galaxy luminosity galaxy h alpha equivalent widths are compared to a broadband color index to constrain the imf this parameter space is useful for breaking degeneracies which are traditionally problematic age and dust corrections are largely orthogonal to imf variations in addition the effects of metallicity and smooth star formation history efolding times are small compared to imf variations we find that for the sample as a whole the best fitting imf slope above 05 m_sun is gamma 14535 with a negligible random error of 00004 and a systematic error of 01 galaxies brighter than around m_r01 20 including galaxies like the milky way which has m_r01 21 are well fit by a universal gamma 14 imf similar to salpeter and smooth exponential star formation histories sfh fainter galaxies prefer steeper imfs and the quality of the fits reveal that for these galaxies a universal imf with smooth sfhs is actually a poor assumption several sources of sample bias are ruled out as the cause of these luminosity dependent imf variations analysis of bursting sfh models shows that an implausible coordination of burst times is required to fit a universal imf to the m_r01 17 galaxies this leads to the conclusions that the imf in low luminosity galaxies has fewer massive stars either by steeper slope or lower upper mass cutoff and is not universal | [['this', 'paper', 'revisits', 'the', 'classical', 'kennicutt', 'method', 'for', 'inferring', 'the', 'stellar', 'initial', 'mass', 'function', 'imf', 'from', 'the', 'integrated', 'light', 'properties', 'of', 'galaxies', 'the', 'large', 'size', 'uniform', 'high', 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711.131 | Impurity-induced step interactions: a kinetic Monte-Carlo study | A one-dimensional continuum description of growth on vicinal surfaces in the
presence of immobile impurities predicts that the impurities can induce step
bunching when they suppress the diffusion of adatoms on the surface. In the
present communication we verify this prediction by kinetic Monte-Carlo
simulations of a two-dimensional solid-on-solid model. We identify the
conditions where quasi one-dimensional step flow is stable against island
formation or step meandering, and analyse in detail the statistics of the
impurity concentration profile. The sign and strength of the impurity-induced
step interactions is determined by monitoring the motion of pairs of steps.
Assemblies containing up to 20 steps turn out to be unstable towards the
emission of single steps. This behavior is traced back to the small value of
the effective, impurity-induced attachment asymmetry for adatoms. An analytic
estimate for the critical number of steps needed to stabilize a bunch is
derived and confirmed by simulations of a one-dimensional model.
| cond-mat.stat-mech cond-mat.mtrl-sci | a onedimensional continuum description of growth on vicinal surfaces in the presence of immobile impurities predicts that the impurities can induce step bunching when they suppress the diffusion of adatoms on the surface in the present communication we verify this prediction by kinetic montecarlo simulations of a twodimensional solidonsolid model we identify the conditions where quasi onedimensional step flow is stable against island formation or step meandering and analyse in detail the statistics of the impurity concentration profile the sign and strength of the impurityinduced step interactions is determined by monitoring the motion of pairs of steps assemblies containing up to 20 steps turn out to be unstable towards the emission of single steps this behavior is traced back to the small value of the effective impurityinduced attachment asymmetry for adatoms an analytic estimate for the critical number of steps needed to stabilize a bunch is derived and confirmed by simulations of a onedimensional model | [['a', 'onedimensional', 'continuum', 'description', 'of', 'growth', 'on', 'vicinal', 'surfaces', 'in', 'the', 'presence', 'of', 'immobile', 'impurities', 'predicts', 'that', 'the', 'impurities', 'can', 'induce', 'step', 'bunching', 'when', 'they', 'suppress', 'the', 'diffusion', 'of', 'adatoms', 'on', 'the', 'surface', 'in', 'the', 'present', 'communication', 'we', 'verify', 'this', 'prediction', 'by', 'kinetic', 'montecarlo', 'simulations', 'of', 'a', 'twodimensional', 'solidonsolid', 'model', 'we', 'identify', 'the', 'conditions', 'where', 'quasi', 'onedimensional', 'step', 'flow', 'is', 'stable', 'against', 'island', 'formation', 'or', 'step', 'meandering', 'and', 'analyse', 'in', 'detail', 'the', 'statistics', 'of', 'the', 'impurity', 'concentration', 'profile', 'the', 'sign', 'and', 'strength', 'of', 'the', 'impurityinduced', 'step', 'interactions', 'is', 'determined', 'by', 'monitoring', 'the', 'motion', 'of', 'pairs', 'of', 'steps', 'assemblies', 'containing', 'up', 'to', '20', 'steps', 'turn', 'out', 'to', 'be', 'unstable', 'towards', 'the', 'emission', 'of', 'single', 'steps', 'this', 'behavior', 'is', 'traced', 'back', 'to', 'the', 'small', 'value', 'of', 'the', 'effective', 'impurityinduced', 'attachment', 'asymmetry', 'for', 'adatoms', 'an', 'analytic', 'estimate', 'for', 'the', 'critical', 'number', 'of', 'steps', 'needed', 'to', 'stabilize', 'a', 'bunch', 'is', 'derived', 'and', 'confirmed', 'by', 'simulations', 'of', 'a', 'onedimensional', 'model']] | [-0.1318785390456117, 0.1572833589106355, -0.051471588349405434, 0.052857381021303516, 0.024528584488096736, -0.1398763594968665, 0.06540143304324199, 0.3601368258526969, -0.2589251224229473, -0.29420155065674936, 0.05029349492847799, -0.2792468394408183, -0.08486900611427582, 0.12695817431404946, 0.028181555864601603, 0.013703430323831497, 0.04468086551454279, -0.03174986504468947, -0.010678064611349855, -0.24330234492437974, 0.2814442914159548, 0.07834208907649642, 0.2811745487724341, 0.06410603396474354, 0.05201077819651654, 0.006558360528921889, 0.018566567468787393, 0.01886617724948953, -0.17150214785703405, 0.07242542908136403, 0.18759200934981626, -0.039876603377201864, 0.2374412693203457, -0.4920646702329959, -0.2198993588320821, 0.04313169931091609, 0.18431747532111684, 0.17988433550081906, -0.05575876700365165, -0.27430995405922015, 0.060087933757853124, -0.08587233229209819, -0.18817180515296997, -0.0328202640757926, 0.02175416356974071, 0.03105801672622141, -0.2825752011680555, 0.08701156823982244, 0.07422800600573781, 0.052431043850318076, -0.03420108380547214, -0.038714964874088764, -0.07288174506487144, 0.12058169530768457, 0.052038470996663935, 0.011469193142388137, 0.2007733943301343, -0.12555597900983786, -0.08876320385268979, 0.36800037499577287, -0.07573635054511889, -0.1720886003321803, 0.1819875927251433, -0.13644662261489898, -0.08986658682566016, 0.18389868426677441, 0.1617604247324409, 0.1164406618734281, -0.12213509538053205, 0.027284557148889308, -0.0016166217925567782, 0.16228184308950608, 0.055346660658476814, -0.05255196586461557, 0.22674567172484053, 0.20731772310400923, 0.08027068844605838, 0.15492281572998412, -0.14583927806346647, -0.1205129606123533, -0.29328361203173, -0.17801314260690443, -0.1898372741476182, 0.05264329681494048, -0.05403234021139196, -0.18534882806481853, 0.40857940369075346, 0.1383098719401225, 0.23297262390654894, 0.005358639173209667, 0.2351201192776282, 0.13021593053614902, 0.05530077220811959, 0.0067122426845373645, 0.21692919850484618, 0.1446038549690838, 0.06567540573587101, -0.2774039490448852, 0.09802612697164859, 0.08807586888752637] |
711.1311 | Top quark rare decays in a two Higgs doublet model for the top | The two Higgs doublet model for the top (T2HDM) is a 2HDM in which the top
quark receives a special status, which endows it with a naturally large mass,
and also gives rise to unique FC charged and neutral scalar interactions. We
calculate the BR of the t->ch and h->tc rare decays in the T2HDM, at 1-loop and
tree level. We find that the FC scalar interactions play a significant role in
these decays. We find that the BR of these decays at 1-loop level in the T2HDM
can be significantly enhanced over the 2HDM-I,II, reaching up to ~10^-4, and
that the BR(t->ch) in the T2HDM can be detected at the LHC.
| hep-ph | the two higgs doublet model for the top t2hdm is a 2hdm in which the top quark receives a special status which endows it with a naturally large mass and also gives rise to unique fc charged and neutral scalar interactions we calculate the br of the tch and htc rare decays in the t2hdm at 1loop and tree level we find that the fc scalar interactions play a significant role in these decays we find that the br of these decays at 1loop level in the t2hdm can be significantly enhanced over the 2hdmiii reaching up to 104 and that the brtch in the t2hdm can be detected at the lhc | [['the', 'two', 'higgs', 'doublet', 'model', 'for', 'the', 'top', 't2hdm', 'is', 'a', '2hdm', 'in', 'which', 'the', 'top', 'quark', 'receives', 'a', 'special', 'status', 'which', 'endows', 'it', 'with', 'a', 'naturally', 'large', 'mass', 'and', 'also', 'gives', 'rise', 'to', 'unique', 'fc', 'charged', 'and', 'neutral', 'scalar', 'interactions', 'we', 'calculate', 'the', 'br', 'of', 'the', 'tch', 'and', 'htc', 'rare', 'decays', 'in', 'the', 't2hdm', 'at', '1loop', 'and', 'tree', 'level', 'we', 'find', 'that', 'the', 'fc', 'scalar', 'interactions', 'play', 'a', 'significant', 'role', 'in', 'these', 'decays', 'we', 'find', 'that', 'the', 'br', 'of', 'these', 'decays', 'at', '1loop', 'level', 'in', 'the', 't2hdm', 'can', 'be', 'significantly', 'enhanced', 'over', 'the', '2hdmiii', 'reaching', 'up', 'to', '104', 'and', 'that', 'the', 'brtch', 'in', 'the', 't2hdm', 'can', 'be', 'detected', 'at', 'the', 'lhc']] | [-0.07173029613798601, 0.23115307443380892, -0.027144667458603042, 0.12036136578588101, -0.018431564339914837, -0.18383112694094847, 0.06552197711924007, 0.298811285532088, -0.21522337923178803, -0.2683440154200202, 0.011130545244799709, -0.3172202978035653, -0.06993524723493301, 0.12005333014059107, 0.06706737121672009, -0.04244447177326357, 0.051084571576735995, 0.0678733749155727, -0.0479123675304272, -0.2356149189253883, 0.27451688741744906, 0.026432290874622965, 0.20809725721089825, 0.15149125621679263, 0.0555179041017451, -0.023728807901476953, 0.01857765171643313, -0.021584539242122357, -0.07379046769550245, 0.060871320357126696, 0.17621772539086622, 0.0694397381330664, 0.15997190974854134, -0.33944202430949016, -0.0892647537381833, 0.1517109313669304, 0.16573335345087759, 0.10952962995380969, -0.06876451756201081, -0.2996772992391106, 0.15032954735110873, -0.1872574049656422, -0.06285769484731629, -0.05298182871696111, -0.02323862000762879, -0.09000233284759897, -0.3470907107096266, 0.05189091790869186, -0.04642605937614634, -0.0101399655246201, 0.012811460114568723, -0.1695082428957428, -0.09611627763464443, 0.06895516370632895, 0.105304149628684, 0.08024357353507013, 0.15832974094276628, -0.19690856624075825, -0.1107755569376152, 0.37858862748688404, -0.17008408428660618, -0.1568463980954409, 0.17863985367522045, -0.20275716395494905, -0.19328123143127374, 0.16013972079150612, 0.2286339865007379, 0.0649580849032547, -0.1495294638129102, 0.1536345213440851, -0.013525072401305576, 0.12896948399626323, 0.037742497382668765, 0.06927387753233046, 0.24784197275703018, 0.1699305468717137, 0.012040340031186739, 0.0924462914815055, -0.101197589012618, -0.08470077136414009, -0.3683413781124998, -0.16956765395966736, -0.025198872679391422, 0.03855147005949245, -0.07649370813089411, -0.1221808932956543, 0.4411901702080761, 0.1480782210684239, 0.2657951952864391, 0.02603605094885974, 0.2557492459545264, 0.12976623081543423, 0.13192403397888566, 0.06044264110056935, 0.33463000316542013, 0.09325129075210777, 0.10530757332988386, -0.2389627495688294, 0.018964969494321325, 0.02263564712091072] |
711.1312 | Detector of alpha particles and x-rays operating in ambient air in pulse
counting mode or/and with gas amplification | Ionization chambers working in ambient air in current detection mode are
widely used in several applications such as smoke detection, dosimetry,
therapeutic beam monitoring and cetera. The aim of this work was to investigate
if gaseous detectors can operate in ambient air in pulse counting mode as well
as with gas amplification. . To investigate the feasibility of this method two
types of open- end gaseous detectors were build and successfully tested. The
first one was a single wire or multiwire cylindrical geometry detector
operating in pulse mode at a gas gain of 1. The second type alpha detector was
an innovative GEM-like detector with resistive electrodes operating in air in
avalanche mode at high gas gains (up to 10E4). A detailed comparison between
these two detectors is given as well as comparison with the commercially
available alpha detectors. The main advantages of gaseous detectors operating
in air in a pulse detection mode are their simplicity, low cost and high
sensitivity. One of the possible applications of these new detectors is alpha
particle background monitors which, due to their low cost can find wide
application not only in houses, but in public areas: airports, railway station
and so on.
| physics.ins-det | ionization chambers working in ambient air in current detection mode are widely used in several applications such as smoke detection dosimetry therapeutic beam monitoring and cetera the aim of this work was to investigate if gaseous detectors can operate in ambient air in pulse counting mode as well as with gas amplification to investigate the feasibility of this method two types of open end gaseous detectors were build and successfully tested the first one was a single wire or multiwire cylindrical geometry detector operating in pulse mode at a gas gain of 1 the second type alpha detector was an innovative gemlike detector with resistive electrodes operating in air in avalanche mode at high gas gains up to 10e4 a detailed comparison between these two detectors is given as well as comparison with the commercially available alpha detectors the main advantages of gaseous detectors operating in air in a pulse detection mode are their simplicity low cost and high sensitivity one of the possible applications of these new detectors is alpha particle background monitors which due to their low cost can find wide application not only in houses but in public areas airports railway station and so on | [['ionization', 'chambers', 'working', 'in', 'ambient', 'air', 'in', 'current', 'detection', 'mode', 'are', 'widely', 'used', 'in', 'several', 'applications', 'such', 'as', 'smoke', 'detection', 'dosimetry', 'therapeutic', 'beam', 'monitoring', 'and', 'cetera', 'the', 'aim', 'of', 'this', 'work', 'was', 'to', 'investigate', 'if', 'gaseous', 'detectors', 'can', 'operate', 'in', 'ambient', 'air', 'in', 'pulse', 'counting', 'mode', 'as', 'well', 'as', 'with', 'gas', 'amplification', 'to', 'investigate', 'the', 'feasibility', 'of', 'this', 'method', 'two', 'types', 'of', 'open', 'end', 'gaseous', 'detectors', 'were', 'build', 'and', 'successfully', 'tested', 'the', 'first', 'one', 'was', 'a', 'single', 'wire', 'or', 'multiwire', 'cylindrical', 'geometry', 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711.1313 | Fractional martingales and characterization of the fractional Brownian
motion | In this paper we introduce the notion of fractional martingale as the
fractional derivative of order $\alpha$ of a continuous local martingale, where
$\alpha\in(-{1/2},{1/2})$, and we show that it has a nonzero finite variation
of order $\frac{2}{1+2\alpha}$, under some integrability assumptions on the
quadratic variation of the local martingale. As an application we establish an
extension of L\'evy's characterization theorem for the fractional Brownian
motion.
| math.PR | in this paper we introduce the notion of fractional martingale as the fractional derivative of order alpha of a continuous local martingale where alphain1212 and we show that it has a nonzero finite variation of order frac212alpha under some integrability assumptions on the quadratic variation of the local martingale as an application we establish an extension of levys characterization theorem for the fractional brownian motion | [['in', 'this', 'paper', 'we', 'introduce', 'the', 'notion', 'of', 'fractional', 'martingale', 'as', 'the', 'fractional', 'derivative', 'of', 'order', 'alpha', 'of', 'a', 'continuous', 'local', 'martingale', 'where', 'alphain1212', 'and', 'we', 'show', 'that', 'it', 'has', 'a', 'nonzero', 'finite', 'variation', 'of', 'order', 'frac212alpha', 'under', 'some', 'integrability', 'assumptions', 'on', 'the', 'quadratic', 'variation', 'of', 'the', 'local', 'martingale', 'as', 'an', 'application', 'we', 'establish', 'an', 'extension', 'of', 'levys', 'characterization', 'theorem', 'for', 'the', 'fractional', 'brownian', 'motion']] | [-0.11993064618270312, 0.06341887633953731, -0.11365317319527209, 0.06803038401994854, -0.09428860317353928, -0.04149839392907563, 0.0222573995549557, 0.33091851607674644, -0.3614632332372287, -0.21892889116018538, 0.16300195589890734, -0.2285475049700056, -0.1662418663442608, 0.1508465235727647, -0.15576188432954488, 0.05213747313246131, -0.06281232310547716, 0.05515993093066509, -0.06324835672664146, -0.2146179703958628, 0.3093192480903651, -0.05986702350515222, 0.17596339561518223, 0.053164885796066964, 0.1923218508738847, 0.03550341649956647, -0.05108828889945197, 0.0034121273026343378, -0.22357847771872047, 0.14573498031804485, 0.16226962516232143, -0.0028828877053918346, 0.3669701296658743, -0.3895389685289018, -0.16218966072691338, 0.19100798449538176, 0.05114000321676334, 0.03230253040480117, -0.0467829879332659, -0.2886317088786099, 0.09428918966469133, -0.15732652965992217, -0.17703921068829323, -0.08927758957540231, 0.05370971131774168, 0.06283004280357134, -0.3135763274150945, 0.12289474146174532, 0.18562512627492347, 0.07487126258534513, -0.09580411491472096, -0.0665056834677382, 0.02094886914294745, 0.03823761896984208, 0.07986771253248055, 0.004426755062821839, 0.07969085577993638, -0.10137354375217997, -0.1743353090529877, 0.337151571635216, -0.15863091836033005, -0.2727620910986194, 0.1346407071687281, -0.19288131349261792, -0.1722877515805146, 0.04656601588699448, 0.11742319363272852, 0.13803173842588587, -0.16698348507403382, 0.16901183106090192, -0.10488674511748647, 0.1255460416986829, 0.0831370312010958, 0.08895503765799934, 0.0856239697563329, 0.13326767500903872, 0.2580925133670606, 0.1773815598959724, -0.0802519923216471, -0.1293561528954241, -0.41422076002945973, -0.24798697973823264, -0.1964032453381353, 0.12339129533049548, -0.15759354139403772, -0.2125056359384741, 0.3745261547820909, 0.1513202891625937, 0.13833732200816037, 0.12326169822601572, 0.20134798246657565, 0.2486288288039052, -0.035497022522909066, -0.0033782258600233094, 0.12751116603104737, 0.16107509861744584, 0.09145543324421086, -0.21412189522137245, 0.06487400166039901, 0.14610913228834904] |
711.1314 | Monitoring atom-atom entanglement and decoherence in a solvable
tripartite open system in cavity QED | We present a fully analytical solution of the dynamics of two strongly-driven
atoms resonantly coupled to a dissipative cavity field mode. We show that an
initial atom-atom entanglement cannot be increased. In fact, the atomic Hilbert
space divides into two subspaces, one of which is decoherence free so that the
initial atomic entanglement remains available for applications, even in
presence of a low enough atomic decay rate. In the other subspace a measure of
entanglement, decoherence, and also purity, are described by a similar
functional behavior that can be monitored by joint atomic measurements.
Furthermore, we show the possible generation of Schr\"odinger-cat-like states
for the whole system in the transient regime, as well as of entanglement for
the cavity field and the atom-atom subsystems conditioned by measurements on
the complementary subsystem.
| quant-ph | we present a fully analytical solution of the dynamics of two stronglydriven atoms resonantly coupled to a dissipative cavity field mode we show that an initial atomatom entanglement cannot be increased in fact the atomic hilbert space divides into two subspaces one of which is decoherence free so that the initial atomic entanglement remains available for applications even in presence of a low enough atomic decay rate in the other subspace a measure of entanglement decoherence and also purity are described by a similar functional behavior that can be monitored by joint atomic measurements furthermore we show the possible generation of schrodingercatlike states for the whole system in the transient regime as well as of entanglement for the cavity field and the atomatom subsystems conditioned by measurements on the complementary subsystem | [['we', 'present', 'a', 'fully', 'analytical', 'solution', 'of', 'the', 'dynamics', 'of', 'two', 'stronglydriven', 'atoms', 'resonantly', 'coupled', 'to', 'a', 'dissipative', 'cavity', 'field', 'mode', 'we', 'show', 'that', 'an', 'initial', 'atomatom', 'entanglement', 'can', 'not', 'be', 'increased', 'in', 'fact', 'the', 'atomic', 'hilbert', 'space', 'divides', 'into', 'two', 'subspaces', 'one', 'of', 'which', 'is', 'decoherence', 'free', 'so', 'that', 'the', 'initial', 'atomic', 'entanglement', 'remains', 'available', 'for', 'applications', 'even', 'in', 'presence', 'of', 'a', 'low', 'enough', 'atomic', 'decay', 'rate', 'in', 'the', 'other', 'subspace', 'a', 'measure', 'of', 'entanglement', 'decoherence', 'and', 'also', 'purity', 'are', 'described', 'by', 'a', 'similar', 'functional', 'behavior', 'that', 'can', 'be', 'monitored', 'by', 'joint', 'atomic', 'measurements', 'furthermore', 'we', 'show', 'the', 'possible', 'generation', 'of', 'schrodingercatlike', 'states', 'for', 'the', 'whole', 'system', 'in', 'the', 'transient', 'regime', 'as', 'well', 'as', 'of', 'entanglement', 'for', 'the', 'cavity', 'field', 'and', 'the', 'atomatom', 'subsystems', 'conditioned', 'by', 'measurements', 'on', 'the', 'complementary', 'subsystem']] | [-0.14596370268951764, 0.22526513310742413, -0.06990376753894838, 0.048758481506603966, 0.04904819342526466, -0.1664316494575222, 0.02567116331280858, 0.3519969158947016, -0.28480340829683526, -0.23135067342082039, 0.0872567285956448, -0.268270813768278, -0.08105821630945712, 0.20729023633016783, 0.00579382008943481, 0.06637919784142551, 0.08511418187426346, 0.02971622683848678, -0.01778436553749171, -0.22288591402695712, 0.3373485163522701, 0.03777444653325912, 0.26967933657579124, 0.04824859999247234, 0.10504675705945402, 0.008319072476517635, 0.056475566728322796, 0.02967291742199009, -0.10788927249742494, 0.08664777420353582, 0.2506730686238205, 0.1046476637852858, 0.2619357646344173, -0.44467981166742515, -0.20678442372291378, 0.08960379481096893, 0.19829598515449712, 0.18253128870062277, -0.03320278860646243, -0.30010709785997414, -0.021865571475108012, -0.17631373222860874, -0.11798847477995988, -0.11432448825022827, 0.019588885608369088, 0.011764008931067743, -0.26627435748973355, 0.07745946395703923, 0.05436696632938093, 0.03196652544747022, -0.07821324190378866, -0.002572828058019337, -0.008947283456412455, 0.1146748535093414, -0.028974809077970513, 0.007178961983740781, 0.17132812722499666, -0.11686172120795218, -0.08426222168473584, 0.3442425041981606, -0.1291159959346811, -0.19383657729309617, 0.20003940181094082, -0.17750675111628053, -0.08484371908883931, 0.11167451243664166, 0.11616409064277611, 0.07988746692849831, -0.13982101140374487, 0.06469900752745161, -0.039896713329874205, 0.21325245269602447, 0.04775627117223022, 0.1431004710453139, 0.17890843918730476, 0.12469911237360176, 0.08664542764855662, 0.19213850717774636, -0.07465904132484204, -0.08400429496726826, -0.3014725936139285, -0.1825610794335124, -0.25575929605044867, 0.06488983813070456, -0.04780198911281663, -0.11599007083074839, 0.39824440834380576, 0.1084479183050324, 0.18776617445418556, -0.025343614484881982, 0.2875077100470662, 0.11984897809187797, 0.05615691471030004, 0.03567289037164301, 0.29288917921031965, 0.11847883731013897, 0.03182591676754369, -0.2945542227878997, 0.0419791023366887, 0.017384191978525258] |
711.1315 | On the effects of geographical constraints on task execution in complex
networks | In the present work we investigate the effects of spatial constraints on the
efficiency of task execution in systems underlain by geographical complex
networks where the probability of connection decreases with the distance
between the nodes. The investigation considers several configurations of the
parameters defining the network connectivity, and the Barabasi-Albert network
model is also considered for comparisons. The results show that the effect of
connectivity is significant only for shorter tasks, that the locality of
connections implied by the spatial constraints reduces efficency, and that the
addition of edges can improve the efficiency of the execution, although with
increasing locality of the connections the improvement is small.
| physics.soc-ph | in the present work we investigate the effects of spatial constraints on the efficiency of task execution in systems underlain by geographical complex networks where the probability of connection decreases with the distance between the nodes the investigation considers several configurations of the parameters defining the network connectivity and the barabasialbert network model is also considered for comparisons the results show that the effect of connectivity is significant only for shorter tasks that the locality of connections implied by the spatial constraints reduces efficency and that the addition of edges can improve the efficiency of the execution although with increasing locality of the connections the improvement is small | [['in', 'the', 'present', 'work', 'we', 'investigate', 'the', 'effects', 'of', 'spatial', 'constraints', 'on', 'the', 'efficiency', 'of', 'task', 'execution', 'in', 'systems', 'underlain', 'by', 'geographical', 'complex', 'networks', 'where', 'the', 'probability', 'of', 'connection', 'decreases', 'with', 'the', 'distance', 'between', 'the', 'nodes', 'the', 'investigation', 'considers', 'several', 'configurations', 'of', 'the', 'parameters', 'defining', 'the', 'network', 'connectivity', 'and', 'the', 'barabasialbert', 'network', 'model', 'is', 'also', 'considered', 'for', 'comparisons', 'the', 'results', 'show', 'that', 'the', 'effect', 'of', 'connectivity', 'is', 'significant', 'only', 'for', 'shorter', 'tasks', 'that', 'the', 'locality', 'of', 'connections', 'implied', 'by', 'the', 'spatial', 'constraints', 'reduces', 'efficency', 'and', 'that', 'the', 'addition', 'of', 'edges', 'can', 'improve', 'the', 'efficiency', 'of', 'the', 'execution', 'although', 'with', 'increasing', 'locality', 'of', 'the', 'connections', 'the', 'improvement', 'is', 'small']] | [-0.18200498399393703, 0.06929753780692678, -0.016783106362843817, 0.05350412713273221, -0.04484115800113176, -0.09600488652682139, 0.08047988447921213, 0.3625955161880012, -0.25367767442690414, -0.34686053324387306, 0.0720587532376629, -0.2596476569392339, -0.17947976154930614, 0.1481527637849838, -0.07487519087778681, 0.017813534757200006, 0.0999839163419825, 0.05162080608446289, -0.08721246768470371, -0.2538469515533911, 0.35293170700229154, 0.12888718817245076, 0.31151957427910354, 0.09951181500636502, 0.07794383296708542, 0.009985041645079575, -0.05052305171611132, 0.06205122886630879, -0.08546676337863135, 0.15877714904490858, 0.17943380255666044, 0.15889647464414505, 0.27113649939807755, -0.44800531869340277, -0.2578535305370611, 0.10918102029676514, 0.11168053128575492, 0.053923047285664966, 0.024769806314941013, -0.27016487776267306, 0.09731386021465166, -0.14190680033492822, -0.05868954741702139, -0.026141907191938825, 0.03678716129582393, 0.06783422455407197, -0.24847218799577267, 0.06535962817051094, 0.06899336802436867, 0.035135831942574844, -0.022238071246883245, -0.07743376942730888, -0.04881546554086661, 0.17325717991183479, 0.06074502217449696, -0.00273991191190564, 0.10870087718056445, -0.16806553402932844, -0.14662761539565744, 0.37415733252203576, -0.016527405405348097, -0.19081392187487195, 0.18594371094109696, -0.09803975805536741, -0.14313766983751622, 0.0717652766525808, 0.17990507368705477, 0.07732262624496664, -0.12339269954935406, 0.0811473679528313, -0.01906140038260707, 0.17056414633730632, 0.04639202948763139, 0.080287475925784, 0.13487499798820526, 0.22544738936833003, 0.09788204796388056, 0.1558324671598341, -0.11311836523236707, -0.12504342829170464, -0.24840953503735363, -0.1405652472059484, -0.19528550497704633, -0.03817477780049322, -0.18662531309975613, -0.08726337079941812, 0.41466397021172774, 0.1820005583749325, 0.23369901466907728, 0.11232247154219765, 0.2979593974089733, 0.08347419287612731, 0.10321060654327825, 0.0896409313982413, 0.23263893999952684, 0.09298377583682951, 0.09667737479752826, -0.25531636841414085, 0.1352451805982532, -0.0008876667685668777] |
711.1316 | Instanton Induced Open String Superpotentials and Branes at
Singularities | We study different aspects of the non-perturbative superpotentials induced by
Euclidean E3-branes on systems of D3/D7-branes located at Abelian orbifold
singularities. We discuss in detail how the induced couplings are consistent
with the U(1) symmetries carried by the D3/D7-branes. We construct different
compact and non-compact examples, and show phenomenologically relevant
couplings like $\mu$-terms or certain Yukawa couplings generated by these E3
instantons. Some other novel effects are described. We show an example where
E3-instantons combine with standard gauge instantons to yield new
multi-instanton effects contributing to superpotential, along the lines of
ref.\cite{geu}. In the case of non-SUSY $Z_N$ tachyon-free singularities it is
shown how E3-instantons give rise to non perturbative scalar couplings
including exponentially suppressed scalar bilinears.
| hep-th | we study different aspects of the nonperturbative superpotentials induced by euclidean e3branes on systems of d3d7branes located at abelian orbifold singularities we discuss in detail how the induced couplings are consistent with the u1 symmetries carried by the d3d7branes we construct different compact and noncompact examples and show phenomenologically relevant couplings like muterms or certain yukawa couplings generated by these e3 instantons some other novel effects are described we show an example where e3instantons combine with standard gauge instantons to yield new multiinstanton effects contributing to superpotential along the lines of refcitegeu in the case of nonsusy z_n tachyonfree singularities it is shown how e3instantons give rise to non perturbative scalar couplings including exponentially suppressed scalar bilinears | [['we', 'study', 'different', 'aspects', 'of', 'the', 'nonperturbative', 'superpotentials', 'induced', 'by', 'euclidean', 'e3branes', 'on', 'systems', 'of', 'd3d7branes', 'located', 'at', 'abelian', 'orbifold', 'singularities', 'we', 'discuss', 'in', 'detail', 'how', 'the', 'induced', 'couplings', 'are', 'consistent', 'with', 'the', 'u1', 'symmetries', 'carried', 'by', 'the', 'd3d7branes', 'we', 'construct', 'different', 'compact', 'and', 'noncompact', 'examples', 'and', 'show', 'phenomenologically', 'relevant', 'couplings', 'like', 'muterms', 'or', 'certain', 'yukawa', 'couplings', 'generated', 'by', 'these', 'e3', 'instantons', 'some', 'other', 'novel', 'effects', 'are', 'described', 'we', 'show', 'an', 'example', 'where', 'e3instantons', 'combine', 'with', 'standard', 'gauge', 'instantons', 'to', 'yield', 'new', 'multiinstanton', 'effects', 'contributing', 'to', 'superpotential', 'along', 'the', 'lines', 'of', 'refcitegeu', 'in', 'the', 'case', 'of', 'nonsusy', 'z_n', 'tachyonfree', 'singularities', 'it', 'is', 'shown', 'how', 'e3instantons', 'give', 'rise', 'to', 'non', 'perturbative', 'scalar', 'couplings', 'including', 'exponentially', 'suppressed', 'scalar', 'bilinears']] | [-0.17070979051254853, 0.22533913893304225, -0.024403904836657827, 0.16040277198076544, -0.09254648058007645, -0.19724934429045668, -0.04340277226493422, 0.3404353362862515, -0.17998526346729657, -0.2356685893362866, 0.04774713525095279, -0.29347098189348403, -0.17910188796056384, 0.13074100780943657, -0.030066208007325113, -0.017377417814810718, -0.029902178282639327, 0.02225297566635155, -0.08813527638331649, -0.2917237929326062, 0.3936211100606396, -0.03348643827381898, 0.21694412928041631, 0.09948961120263665, 0.0670263971061965, -0.04331011859704205, -0.04713074241937921, -0.005820905113905932, -0.15845828144028123, 0.05270896505861156, 0.22302988116357442, -0.00044690964710527816, 0.0650698087565535, -0.4403507982965855, -0.17943417518276028, 0.14827559535614157, 0.1765265743231681, 0.11655949210270053, -0.05009171696878409, -0.3444158488418907, 0.0572328875377049, -0.16693711947171694, -0.18536113154048314, -0.17918961482798368, -0.047475690772114075, -0.048817256368713174, -0.2497577442729895, 0.04828174217229099, -0.00572522319606052, 0.03208468968164077, 0.012097071044443719, -0.12330860827134642, -0.08449035364128979, 0.05266709875241252, 0.1602407755284875, 0.014388447592397574, 0.1274552585688972, -0.1591896569249179, -0.15966265859387288, 0.3783863624310599, -0.08187095762181006, -0.24184934986421458, 0.1503389439899969, -0.11314808710249537, -0.16663949571104836, 0.10736386759816545, 0.13167961847770596, 0.15862044943620213, -0.10924589017043466, 0.21070472393253153, 0.04392753965509808, 0.05223984793817575, 0.08229511569921685, 0.0704171720096858, 0.2365001961094352, 0.06342408934657552, 0.017011757861756908, 0.1348773195538093, 0.02102532541684279, -0.15380844609467806, -0.425405080693947, -0.061002919961393405, -0.06205853124239803, 0.1294000550169102, -0.10521957399380245, -0.15385330071239073, 0.4009123881949128, 0.12764841173487032, 0.2260439768268735, 0.025763374462773183, 0.19004554064136692, 0.07032726602257947, 0.09367638970189522, 0.013756861939070235, 0.2379382398297322, 0.11380432600946686, 0.006538577283530669, -0.22894844563216366, -0.12476370289130548, 0.14069259363284284] |
711.1317 | Sharp Superconductor-Insulator Transition in Short Wires | Recent experiments on short MoGe nanowires show a sharp
superconductor-insulator transition tuned by the normal state resistance of the
wire, with a critical resistance of $R_c\approx R_Q= h/(4e^2)$. These results
are at odds with a broad range of theoretical work on Josephson-like systems
that predicts a smooth transition, tuned by the value of the resistance that
shunts the junction. We develop a self-consistent renormalization group
treatment of interacting phase-slips and their dual counterparts, correlated
cooper pair tunneling, beyond the dilute approximation. This analysis leads to
a very sharp transition with a critical resistance of $R_Q$. The addition of
the quasi-particles' resistance at finite temperature leads to a quantitative
agreement with the experimental results. This self-consistent renormalization
group method should also be applicable to other physical systems that can be
mapped onto similar sine-Gordon models, in the previously inaccessible
intermediate-coupling regime.
| cond-mat.supr-con cond-mat.mes-hall | recent experiments on short moge nanowires show a sharp superconductorinsulator transition tuned by the normal state resistance of the wire with a critical resistance of r_capprox r_q h4e2 these results are at odds with a broad range of theoretical work on josephsonlike systems that predicts a smooth transition tuned by the value of the resistance that shunts the junction we develop a selfconsistent renormalization group treatment of interacting phaseslips and their dual counterparts correlated cooper pair tunneling beyond the dilute approximation this analysis leads to a very sharp transition with a critical resistance of r_q the addition of the quasiparticles resistance at finite temperature leads to a quantitative agreement with the experimental results this selfconsistent renormalization group method should also be applicable to other physical systems that can be mapped onto similar sinegordon models in the previously inaccessible intermediatecoupling regime | [['recent', 'experiments', 'on', 'short', 'moge', 'nanowires', 'show', 'a', 'sharp', 'superconductorinsulator', 'transition', 'tuned', 'by', 'the', 'normal', 'state', 'resistance', 'of', 'the', 'wire', 'with', 'a', 'critical', 'resistance', 'of', 'r_capprox', 'r_q', 'h4e2', 'these', 'results', 'are', 'at', 'odds', 'with', 'a', 'broad', 'range', 'of', 'theoretical', 'work', 'on', 'josephsonlike', 'systems', 'that', 'predicts', 'a', 'smooth', 'transition', 'tuned', 'by', 'the', 'value', 'of', 'the', 'resistance', 'that', 'shunts', 'the', 'junction', 'we', 'develop', 'a', 'selfconsistent', 'renormalization', 'group', 'treatment', 'of', 'interacting', 'phaseslips', 'and', 'their', 'dual', 'counterparts', 'correlated', 'cooper', 'pair', 'tunneling', 'beyond', 'the', 'dilute', 'approximation', 'this', 'analysis', 'leads', 'to', 'a', 'very', 'sharp', 'transition', 'with', 'a', 'critical', 'resistance', 'of', 'r_q', 'the', 'addition', 'of', 'the', 'quasiparticles', 'resistance', 'at', 'finite', 'temperature', 'leads', 'to', 'a', 'quantitative', 'agreement', 'with', 'the', 'experimental', 'results', 'this', 'selfconsistent', 'renormalization', 'group', 'method', 'should', 'also', 'be', 'applicable', 'to', 'other', 'physical', 'systems', 'that', 'can', 'be', 'mapped', 'onto', 'similar', 'sinegordon', 'models', 'in', 'the', 'previously', 'inaccessible', 'intermediatecoupling', 'regime']] | [-0.1553930596381958, 0.17667921812805745, -0.10002525672649167, 0.02374841898646472, -0.025847718706687114, -0.20892383024495628, 0.11394120837960925, 0.3516530216006296, -0.20576904672530613, -0.25123002023153407, 0.004526185592736251, -0.3103805335172053, -0.12345994056668133, 0.21779184066025273, -0.0007324887156885649, 0.04141163086252553, 0.023288081062491982, 0.013005704831864152, -0.12119206611699025, -0.17644261818911347, 0.3005454645758229, 0.020799754202432397, 0.33875240883124724, 0.08401852919320975, 0.007017319656110236, -0.0361282698434869, 0.0982776478065976, 0.1080726708668018, -0.17960076819617826, 0.039902224137248206, 0.28912576840908255, -0.09365712396933563, 0.23172969070396254, -0.41936676864113126, -0.2344472509825469, 0.03118515588243359, 0.1451976571211292, 0.13820552375400438, -0.05586552825323971, -0.28714000337890216, 0.052550688868255487, -0.14521120738437665, -0.12544755605049432, -0.06889781189550247, -0.021298645917392736, -0.013436020407659401, -0.2445817253485854, 0.12330410276252743, 0.022258328401949256, 0.045194613288289734, -0.03696225059850674, -0.08018296109138257, -0.01874279040244541, 0.06628926060095962, 0.004139737362025438, 0.06321961459470912, 0.172342683082804, -0.1231565742487354, -0.0944376380714987, 0.32418572466953527, -0.09924430181937559, -0.09269372468427589, 0.22510033217923983, -0.1681606081380908, -0.05763326384060617, 0.16750273643660227, 0.10465321404460286, 0.11135235013373729, -0.13809247613618417, 0.05443502735371502, -0.041996436657583604, 0.14563280061660666, 0.01820261809542509, 0.018635276130797657, 0.23951310302530016, 0.19497010511154908, 0.017338600264130425, 0.10869533310719166, -0.05794305678989206, -0.094474959173905, -0.30756541003606147, -0.12343926852835076, -0.17084344171120652, 0.08959521898816872, -0.08089680560920637, -0.19621685074442732, 0.3821700221725873, 0.1878952405914398, 0.2393765811276223, 0.053607048270142905, 0.2359702645368608, 0.15705174247601203, 0.07194427491797667, 0.008593678487730877, 0.23995061667914602, 0.17561986015643924, 0.09049419116095773, -0.2890646866689037, 0.0698034718042306, 0.02155556583644024] |
711.1318 | Simulating Van der Waals-interactions in water/hydrocarbon-based complex
fluids | In systems composed of water and hydrocarbons Van der Waals-interactions are
dominated by the non-retarded, classical (Keesom) part of the
Lifshitz-interaction; the interaction is screened by salt and extends over
mesoscopic distances of the order of the size of the (micellar) constituents of
complex fluids. We show that these interactions are included intrinsically in a
recently introduced local Monte Carlo algorithm for simulating electrostatic
interactions between charges in the presence of non-homogeneous dielectric
media.
| cond-mat.stat-mech cond-mat.soft | in systems composed of water and hydrocarbons van der waalsinteractions are dominated by the nonretarded classical keesom part of the lifshitzinteraction the interaction is screened by salt and extends over mesoscopic distances of the order of the size of the micellar constituents of complex fluids we show that these interactions are included intrinsically in a recently introduced local monte carlo algorithm for simulating electrostatic interactions between charges in the presence of nonhomogeneous dielectric media | [['in', 'systems', 'composed', 'of', 'water', 'and', 'hydrocarbons', 'van', 'der', 'waalsinteractions', 'are', 'dominated', 'by', 'the', 'nonretarded', 'classical', 'keesom', 'part', 'of', 'the', 'lifshitzinteraction', 'the', 'interaction', 'is', 'screened', 'by', 'salt', 'and', 'extends', 'over', 'mesoscopic', 'distances', 'of', 'the', 'order', 'of', 'the', 'size', 'of', 'the', 'micellar', 'constituents', 'of', 'complex', 'fluids', 'we', 'show', 'that', 'these', 'interactions', 'are', 'included', 'intrinsically', 'in', 'a', 'recently', 'introduced', 'local', 'monte', 'carlo', 'algorithm', 'for', 'simulating', 'electrostatic', 'interactions', 'between', 'charges', 'in', 'the', 'presence', 'of', 'nonhomogeneous', 'dielectric', 'media']] | [-0.17468954930599365, 0.16843842574033058, -0.0344991616778619, 0.040430484994431026, 0.04018760296094115, -0.08773527586082411, -0.040199750969703824, 0.33240515428284806, -0.2533256060236858, -0.30019660480320454, -0.023228796519106254, -0.3190011060796678, -0.1532204417615301, 0.15621757000270817, 0.060506234825071364, -0.008320568207030496, -0.0177493022250322, -0.08669904112401935, 0.0018763733128758355, -0.22796245741968355, 0.3118642070751068, 0.04934591929324799, 0.18667505082622585, 0.09563792804773483, 0.07306258900401492, 0.05113504107187813, -0.02665057039121166, 0.09478639089502394, -0.12425308233863082, 0.12577906992131224, 0.23640590575087117, -0.08462402487768689, 0.24413920210726145, -0.4728109808897393, -0.22713924220038784, 0.06786829630275154, 0.11109576682146224, 0.13911802361124298, -0.05272340320678066, -0.30435738719340105, 0.020213728154582594, -0.17374376417784435, -0.13630156396215576, -0.058530512977288, 0.038758639660146504, 0.1491383383852533, -0.22683097931359145, 0.1770296724150992, 0.06009705441667595, 0.04569552316226893, -0.07918034774613464, -0.11848549010594273, -0.023730282199620787, 0.10033412170984472, 0.003197282276232727, -0.05478950227067495, 0.16914220612832448, -0.14731070872706672, -0.040815934642321534, 0.3991026009833958, -0.0525616347003961, -0.1655663904934449, 0.2765240700779638, -0.09137955584123524, -0.05269005906302482, 0.19466430308400756, 0.15026027727354732, 0.11253196107766901, -0.19351945380266342, 0.13620733732144194, -0.0027057410528262458, 0.15575457899669548, 0.08898795323653354, -0.002282260988269829, 0.20873965822263724, 0.18573122683058804, -0.0206701357383281, 0.1701391188091495, -0.05777536022813163, -0.16004788616879118, -0.2430094222072512, -0.1745982585578329, -0.24566071400315398, 0.02285244336558713, -0.0839959482477247, -0.21681963522051875, 0.3141568124216671, 0.13165576175459945, 0.0991322030313313, 0.008194615726501474, 0.24462406899935255, 0.014336694588160349, 0.0847094083211333, 0.04481815031613223, 0.28359422938794726, 0.15620560012111026, 0.09196007472120174, -0.24855920679530957, 0.07274665469433078, 0.1114820310807166] |
711.1319 | A study of Galois objects for algebraic quantum groups | We supplement the study of Galois theory for algebraic quantum groups started
in the paper 'Galois Theory for Multiplier Hopf Algebras with Integrals' by A.
Van Daele and Y.H. Zhang. We examine the structure of the Galois objects:
algebras equipped with a Galois coaction such that only the scalars are
coinvariants. We show how their structure is as rich as the one of the quantum
groups themselves: there are two distinguished weak K.M.S. functionals, related
by a modular element, and there is an analogue of the antipode squared. We also
show how to reflect the quantum group across the Galois object to obtain a
(possibly) new algebraic quantum group. We end by considering an example.
| math.QA math.RA | we supplement the study of galois theory for algebraic quantum groups started in the paper galois theory for multiplier hopf algebras with integrals by a van daele and yh zhang we examine the structure of the galois objects algebras equipped with a galois coaction such that only the scalars are coinvariants we show how their structure is as rich as the one of the quantum groups themselves there are two distinguished weak kms functionals related by a modular element and there is an analogue of the antipode squared we also show how to reflect the quantum group across the galois object to obtain a possibly new algebraic quantum group we end by considering an example | [['we', 'supplement', 'the', 'study', 'of', 'galois', 'theory', 'for', 'algebraic', 'quantum', 'groups', 'started', 'in', 'the', 'paper', 'galois', 'theory', 'for', 'multiplier', 'hopf', 'algebras', 'with', 'integrals', 'by', 'a', 'van', 'daele', 'and', 'yh', 'zhang', 'we', 'examine', 'the', 'structure', 'of', 'the', 'galois', 'objects', 'algebras', 'equipped', 'with', 'a', 'galois', 'coaction', 'such', 'that', 'only', 'the', 'scalars', 'are', 'coinvariants', 'we', 'show', 'how', 'their', 'structure', 'is', 'as', 'rich', 'as', 'the', 'one', 'of', 'the', 'quantum', 'groups', 'themselves', 'there', 'are', 'two', 'distinguished', 'weak', 'kms', 'functionals', 'related', 'by', 'a', 'modular', 'element', 'and', 'there', 'is', 'an', 'analogue', 'of', 'the', 'antipode', 'squared', 'we', 'also', 'show', 'how', 'to', 'reflect', 'the', 'quantum', 'group', 'across', 'the', 'galois', 'object', 'to', 'obtain', 'a', 'possibly', 'new', 'algebraic', 'quantum', 'group', 'we', 'end', 'by', 'considering', 'an', 'example']] | [-0.18045763764834113, 0.10584258054732346, -0.1312104595825076, 0.0996840540724604, -0.12136596206413663, -0.11974956182681996, -0.011945554145368869, 0.3558054554316661, -0.37012276205679645, -0.24075149734221074, 0.08116895887727404, -0.2639362753490391, -0.20224646982412947, 0.2186836337265761, -0.14611740530185077, -0.035210188692840545, 0.0312912882913066, 0.12510244031841664, -0.10474346064476539, -0.26940225545397917, 0.41424642133162076, -0.0010456613467439361, 0.17086354279890656, -0.0026492469782090707, 0.11287322758251558, 0.017568914166084776, -0.01713462878099602, 0.002995873517964197, -0.14671706089417136, 0.11754247500034778, 0.32890877926965123, 0.03742246442352948, 0.24394244173865604, -0.38693278682944565, -0.12565613105569196, 0.13699519330959606, 0.10419641965797738, 0.06727376001806039, -0.0703046444762984, -0.32332757706551446, 0.10752554363773568, -0.22016633888301643, -0.1312106122829668, -0.08936583381956038, 0.023339036179949407, 0.007987774311281417, -0.17803105058087765, 0.003093455085763708, 0.06022888251134883, 0.16966712503774983, -0.04023164851671976, -0.08785845713244508, -0.024057185143718254, 0.11604385120065316, -0.027988938724055237, -0.00029244132380446664, 0.11706624410479613, -0.13238248476839584, -0.15360568369860234, 0.36471730452840745, -0.055524316184101224, -0.17256268923697266, 0.1608837935840711, -0.13305901718204435, -0.17050147217738887, 0.05766877695594145, 0.06879628067431243, 0.10980905059563077, -0.055807018025687126, 0.17863944873476967, -0.1307946658126362, 0.08594628728764213, 0.05876795329639445, 0.016757274909025947, 0.15940221803586768, 0.052566572035784305, 0.07726653500095658, 0.12715390603989363, 0.005778882773997991, -0.0664943965718798, -0.34646321464653895, -0.21219961188895547, -0.08381563923726587, 0.09212329538701021, -0.07576104942278977, -0.1769419974890416, 0.39857479512853466, 0.12124810829434705, 0.17728406336644423, 0.07662824034847765, 0.1886309305914556, 0.09656303889199119, 0.10003531837795415, 0.04690493791890533, 0.17395605631172656, 0.27149238423444333, -0.015206770971417427, -0.17067028688590813, -0.04524937118201152, 0.17815479363679237] |
711.132 | Clumpy photon-dominated regions in Carina. I. [CI] and mid-J CO lines in
two 4'x4' fields | The Carina region is an excellent astrophysical laboratory for studying the
feedback mechanisms of newly born, very massive stars within their natal giant
molecular clouds (GMCs) at only 2.35 kpc distance. We use a clumpy PDR model to
analyse the observed intensities of atomic carbon and CO and to derive the
excitation conditions of the gas. The NANTEN2-4m submillimeter telescope was
used to map the [CI] 3P1-3P0, 3P2-3P1 and CO 4-3, 7-6 lines in two 4'x4'
regions of Carina where molecular material interfaces with radiation from the
massive star clusters. One region is the northern molecular cloud near the
compact OB cluster Tr14, and the second region is in the molecular cloud south
of etaCar and Tr16. These data were combined with 13CO SEST spectra, HIRES/IRAS
60um and 100um maps of the FIR continuum, and maps of 8um IRAC/Spitzer and MSX
emission. We used the HIRES far-infrared dust data to create a map of the FUV
field heating the gas. The northern region shows an FUV field of a few 1000 in
Draine units while the field of the southern region is about a factor 10
weaker. We constructed models consisting of an ensemble of small spherically
symmetric PDR clumps within the 38" beam (0.43pc), which follow canonical
power-law mass and mass-size distributions. We find that an average local clump
density of 2x10**5 cm-3 is needed to reproduce the observed line emission at
two selected interface positions. Stationary, clumpy PDR models reproduce the
observed cooling lines of atomic carbon and CO at two positions in the Carina
Nebula.
| astro-ph | the carina region is an excellent astrophysical laboratory for studying the feedback mechanisms of newly born very massive stars within their natal giant molecular clouds gmcs at only 235 kpc distance we use a clumpy pdr model to analyse the observed intensities of atomic carbon and co and to derive the excitation conditions of the gas the nanten24m submillimeter telescope was used to map the ci 3p13p0 3p23p1 and co 43 76 lines in two 4x4 regions of carina where molecular material interfaces with radiation from the massive star clusters one region is the northern molecular cloud near the compact ob cluster tr14 and the second region is in the molecular cloud south of etacar and tr16 these data were combined with 13co sest spectra hiresiras 60um and 100um maps of the fir continuum and maps of 8um iracspitzer and msx emission we used the hires farinfrared dust data to create a map of the fuv field heating the gas the northern region shows an fuv field of a few 1000 in draine units while the field of the southern region is about a factor 10 weaker we constructed models consisting of an ensemble of small spherically symmetric pdr clumps within the 38 beam 043pc which follow canonical powerlaw mass and masssize distributions we find that an average local clump density of 2x105 cm3 is needed to reproduce the observed line emission at two selected interface positions stationary clumpy pdr models reproduce the observed cooling lines of atomic carbon and co at two positions in the carina nebula | [['the', 'carina', 'region', 'is', 'an', 'excellent', 'astrophysical', 'laboratory', 'for', 'studying', 'the', 'feedback', 'mechanisms', 'of', 'newly', 'born', 'very', 'massive', 'stars', 'within', 'their', 'natal', 'giant', 'molecular', 'clouds', 'gmcs', 'at', 'only', '235', 'kpc', 'distance', 'we', 'use', 'a', 'clumpy', 'pdr', 'model', 'to', 'analyse', 'the', 'observed', 'intensities', 'of', 'atomic', 'carbon', 'and', 'co', 'and', 'to', 'derive', 'the', 'excitation', 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711.1321 | Solving non-linear equations of longitudinal and transverse electron
waves in collisionless Maxwellian plasma | We have considered an expansion of solutions of the non-linear equations for
both longitudinal and transverse waves in collisionless Maxwellian plasma in
series of non-damping overtones of the field E(x,t) and electron velocity
distribution function f=f(0) +f(1) where f(0) is background Maxwellian electron
distribution function and f(1) is perturbation. The electrical field and
perturbation f(1) are presented as a series of non-damping harmonics with
increasing frequencies of the order n and the same propagation speed. It is
shown presence of recurrent relations for arising overtones. Convergence of the
series is provided by a power law parameter series convergence. There are
proposed also successive procedures of cutting off the distribution function
f(1) to the condition of positivity f near the singularity points where kinetic
equation becomes inapplicable. In this case, at poles absence the solution
reduces to non-damping Vlasov waves (oscillations). In the case of transverse
waves, dispersion equation has two roots, corresponding to the branches of fast
electromagnetic and slow electron waves. There is noted a possibility of
experimental testing appearing exotic results with detecting frequencies and
amplitudes of n-order overtones.
| physics.plasm-ph | we have considered an expansion of solutions of the nonlinear equations for both longitudinal and transverse waves in collisionless maxwellian plasma in series of nondamping overtones of the field ext and electron velocity distribution function ff0 f1 where f0 is background maxwellian electron distribution function and f1 is perturbation the electrical field and perturbation f1 are presented as a series of nondamping harmonics with increasing frequencies of the order n and the same propagation speed it is shown presence of recurrent relations for arising overtones convergence of the series is provided by a power law parameter series convergence there are proposed also successive procedures of cutting off the distribution function f1 to the condition of positivity f near the singularity points where kinetic equation becomes inapplicable in this case at poles absence the solution reduces to nondamping vlasov waves oscillations in the case of transverse waves dispersion equation has two roots corresponding to the branches of fast electromagnetic and slow electron waves there is noted a possibility of experimental testing appearing exotic results with detecting frequencies and amplitudes of norder overtones | [['we', 'have', 'considered', 'an', 'expansion', 'of', 'solutions', 'of', 'the', 'nonlinear', 'equations', 'for', 'both', 'longitudinal', 'and', 'transverse', 'waves', 'in', 'collisionless', 'maxwellian', 'plasma', 'in', 'series', 'of', 'nondamping', 'overtones', 'of', 'the', 'field', 'ext', 'and', 'electron', 'velocity', 'distribution', 'function', 'ff0', 'f1', 'where', 'f0', 'is', 'background', 'maxwellian', 'electron', 'distribution', 'function', 'and', 'f1', 'is', 'perturbation', 'the', 'electrical', 'field', 'and', 'perturbation', 'f1', 'are', 'presented', 'as', 'a', 'series', 'of', 'nondamping', 'harmonics', 'with', 'increasing', 'frequencies', 'of', 'the', 'order', 'n', 'and', 'the', 'same', 'propagation', 'speed', 'it', 'is', 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711.1322 | Selective screenability in topological groups | We examine the selective screenability property in topological groups. In the
metrizable case we also give characterizations in terms of the Haver property
and finitary Haver property respectively relative to left-invariant metrics. We
prove theorems stating conditions under which the properties are preserved by
products. Among metrizable groups we characterize the ones of countable
covering dimension by a natural game.
| math.GN math.GR | we examine the selective screenability property in topological groups in the metrizable case we also give characterizations in terms of the haver property and finitary haver property respectively relative to leftinvariant metrics we prove theorems stating conditions under which the properties are preserved by products among metrizable groups we characterize the ones of countable covering dimension by a natural game | [['we', 'examine', 'the', 'selective', 'screenability', 'property', 'in', 'topological', 'groups', 'in', 'the', 'metrizable', 'case', 'we', 'also', 'give', 'characterizations', 'in', 'terms', 'of', 'the', 'haver', 'property', 'and', 'finitary', 'haver', 'property', 'respectively', 'relative', 'to', 'leftinvariant', 'metrics', 'we', 'prove', 'theorems', 'stating', 'conditions', 'under', 'which', 'the', 'properties', 'are', 'preserved', 'by', 'products', 'among', 'metrizable', 'groups', 'we', 'characterize', 'the', 'ones', 'of', 'countable', 'covering', 'dimension', 'by', 'a', 'natural', 'game']] | [-0.17788702373703322, 0.12716243825852871, -0.08088915556048354, 0.10993837319935361, -0.04725366329075768, -0.09798873623367399, 0.05836142292246223, 0.4382995602985223, -0.31478502980122963, -0.16565051615859072, 0.11005823648107858, -0.25640970189124346, -0.13966717834894857, 0.17831955504855918, -0.18959313828187685, -0.03872919273562729, 0.028033636286272666, 0.08083863866825898, -0.10143861270820101, -0.29793601532777153, 0.4094741785277923, -0.08667824361473322, 0.2755728233605623, 0.0871484565034431, 0.10833946297255655, 0.019077489579406876, -0.04260705228274067, 0.06605916220384339, -0.2348030426694701, 0.053053335892036556, 0.28651270632011194, 0.12728479435512174, 0.23589020435077449, -0.3248950226853291, -0.1356943334491613, 0.1918787376023829, 0.02617608600606521, -0.047154535269752766, -0.036940770569102215, -0.3387705191620626, 0.1439949189235146, -0.14583258566757043, -0.13232403420843183, -0.1260935489864399, 0.01223282387169699, 0.008588049250344435, -0.2069292536897895, 0.016646636055763036, 0.18004394427856216, 0.10675121049086253, -0.10161612568578372, -0.044449794789155325, -0.05375115687493235, 0.09871231636304098, 0.017138788662850856, -0.10423118767794222, 0.0625231510726735, -0.05962169662331386, -0.15752169607634034, 0.4056104491697624, -0.0817892802762799, -0.21721417643129826, 0.1748596112166221, -0.16899311404364806, -0.23614532400388272, 0.06858113585816075, 0.07943040733225644, 0.15261848906132702, -0.08070277980975031, 0.16090169191884343, -0.13435409233594933, 0.06356893928411106, 0.13300877397414296, 0.16251357073585193, 0.052147444384172556, 0.07431042946409434, 0.15151263039248686, 0.21391258627797166, 0.09875803180038929, -0.022798069085304937, -0.27837846809998157, -0.1932532633965214, -0.07487352659615377, 0.09634951793511087, -0.10375915168915525, -0.14668876439294157, 0.3683522277511656, 0.06603458670433611, 0.09301603914548953, 0.12783561321169448, 0.17679159849261245, 0.006311613445480664, 0.03230373063900818, 0.09225236892234534, 0.1688986521679908, 0.24233443858878065, -0.03734409014383952, -0.09065260992695888, 0.04564311848953366, 0.20189446539928516] |
711.1323 | Super-horizon fluctuations and acoustic oscillations in relativistic
heavy-ion collisions | We focus on the initial state spatial anisotropies, originating at the
thermalization stage, for central collisions in relativistic heavy-ion
collisions. We propose that a plot of the root mean square values of the flow
coefficients $\sqrt{\bar {v_n^2}} \equiv v_n^{rms}$, calculated in a lab fixed
coordinate system, for a large range of $n$, from 1 to about 30, can give
non-trivial information about the initial stages of the system and its
evolution. We also argue that for all wavelengths $\lambda$ of the anisotropy
(at the surface of the plasma region) much larger than the acoustic horizon
size $H_s^{fr}$ at the freezeout stage, the resulting values of $v_n^{rms}$
should be suppressed by a factor of order $2H_s^{fr}/\lambda$. With initial
flow being zero, we discuss the possibility that the resulting flow could show
imprints of coherent oscillations in the plot of $v_n^{rms}$ for sub-horizon
modes. For gold-gold collision at 200 GeV, these features are expected to occur
for n $\ge$ 5, with $n < 4$ modes showing supression. This has strong
similarities with the physics of the anisotropies of the cosmic microwave
background radiation (CMBR) resulting from inflationary density fluctuations in
the universe. It seems possible that the statistical fluctuations due to finite
multiplicity may not be able to mask such features in the flow data, or, at
least a non-trivial overall shape of the plot of $v_n^{rms}$ may be inferred.
In that case, the successes of analysis of CMBR anisotropy power spectrum to
get cosmological parameters can be applied for relativistic heavy-ion
collisions to learn about various relevant parameters at the early stages of
the evolving system.
| hep-ph astro-ph hep-th nucl-ex nucl-th | we focus on the initial state spatial anisotropies originating at the thermalization stage for central collisions in relativistic heavyion collisions we propose that a plot of the root mean square values of the flow coefficients sqrtbar v_n2 equiv v_nrms calculated in a lab fixed coordinate system for a large range of n from 1 to about 30 can give nontrivial information about the initial stages of the system and its evolution we also argue that for all wavelengths lambda of the anisotropy at the surface of the plasma region much larger than the acoustic horizon size h_sfr at the freezeout stage the resulting values of v_nrms should be suppressed by a factor of order 2h_sfrlambda with initial flow being zero we discuss the possibility that the resulting flow could show imprints of coherent oscillations in the plot of v_nrms for subhorizon modes for goldgold collision at 200 gev these features are expected to occur for n ge 5 with n 4 modes showing supression this has strong similarities with the physics of the anisotropies of the cosmic microwave background radiation cmbr resulting from inflationary density fluctuations in the universe it seems possible that the statistical fluctuations due to finite multiplicity may not be able to mask such features in the flow data or at least a nontrivial overall shape of the plot of v_nrms may be inferred in that case the successes of analysis of cmbr anisotropy power spectrum to get cosmological parameters can be applied for relativistic heavyion collisions to learn about various relevant parameters at the early stages of the evolving system | [['we', 'focus', 'on', 'the', 'initial', 'state', 'spatial', 'anisotropies', 'originating', 'at', 'the', 'thermalization', 'stage', 'for', 'central', 'collisions', 'in', 'relativistic', 'heavyion', 'collisions', 'we', 'propose', 'that', 'a', 'plot', 'of', 'the', 'root', 'mean', 'square', 'values', 'of', 'the', 'flow', 'coefficients', 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711.1324 | Renormalization group study of transport through a superconducting
junction of multiple one-dimensional quantum wires | We investigate transport properties of a superconducting junction of many ($N
\ge 2$) one-dimensional quantum wires. We include the effectofelectron-electron
interaction within the one-dimensional quantum wire using a weak interaction
renormalization group procedure. Due to the proximity effect, transport across
the junction occurs via direct tunneling as well as via the crossed Andreev
channel. We find that the fixed point structure of this system is far more rich
than the fixed point structure of a normal metal$-$superconductor junction ($N
= 1$), where we only have two fixed points - the fully insulating fixed point
or the Andreev fixed point. Even a two wire (N=2)system with a superconducting
junction i.e. a normalmetal$-$superconductor$-$normal metal structure, has
non-trivialfixed points with intermediate transmissions and reflections. We
also include electron-electron interaction induced back-scattering in the
quantum wires in our study and hence obtain non-Luttinger liquid behaviour. It
is interesting to note that {\textsl{(a)}} effects due to inclusion of
electron-electron interaction induced back-scattering in the wire, and
{\textsl{(b)}} competition between the charge transport via the electron and
hole channels across the junction, give rise to a non-monotonic behavior of
conductance as a functionof temperature. We also find that transport across the
junction depends on two independent interaction parameters. The first one is
due to the usual correlations coming from Friedel oscillations for spin-full
electrons giving rise to the well-known interaction parameter (${{\alpha =
(g_2-2g_1)/2 \pi \hbar v_F}}$). The second one arises due to the scattering
induced by the proximity of the superconductor and is given by(${{\alpha^\prime
= (g_2 + g_1)/2 \pi \hbar v_F}}$).
| cond-mat.mes-hall | we investigate transport properties of a superconducting junction of many n ge 2 onedimensional quantum wires we include the effectofelectronelectron interaction within the onedimensional quantum wire using a weak interaction renormalization group procedure due to the proximity effect transport across the junction occurs via direct tunneling as well as via the crossed andreev channel we find that the fixed point structure of this system is far more rich than the fixed point structure of a normal metalsuperconductor junction n 1 where we only have two fixed points the fully insulating fixed point or the andreev fixed point even a two wire n2system with a superconducting junction ie a normalmetalsuperconductornormal metal structure has nontrivialfixed points with intermediate transmissions and reflections we also include electronelectron interaction induced backscattering in the quantum wires in our study and hence obtain nonluttinger liquid behaviour it is interesting to note that textsla effects due to inclusion of electronelectron interaction induced backscattering in the wire and textslb competition between the charge transport via the electron and hole channels across the junction give rise to a nonmonotonic behavior of conductance as a functionof temperature we also find that transport across the junction depends on two independent interaction parameters the first one is due to the usual correlations coming from friedel oscillations for spinfull electrons giving rise to the wellknown interaction parameter alpha g_22g_12 pi hbar v_f the second one arises due to the scattering induced by the proximity of the superconductor and is given byalphaprime g_2 g_12 pi hbar v_f | [['we', 'investigate', 'transport', 'properties', 'of', 'a', 'superconducting', 'junction', 'of', 'many', 'n', 'ge', '2', 'onedimensional', 'quantum', 'wires', 'we', 'include', 'the', 'effectofelectronelectron', 'interaction', 'within', 'the', 'onedimensional', 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711.1325 | Phase diagram of the dissipative quantum particle in a box | We analyze the phase diagram of a quantum particle confined to a finite
chain, subject to a dissipative environment described by an Ohmic spectral
function. Analytical and numerical techniques are employed to explore both the
perturbative and non-perturbative regime of the model. For small dissipation
the coupling to the environment leads to a narrowing of the density
distribution, and to a displacement towards the center of the array of
accessible sites. For large values of the dissipation, we find a phase
transition to a doubly degenerate phase which reflects the formation of an
inhomogeneous effective potential within the array.
| cond-mat.mes-hall | we analyze the phase diagram of a quantum particle confined to a finite chain subject to a dissipative environment described by an ohmic spectral function analytical and numerical techniques are employed to explore both the perturbative and nonperturbative regime of the model for small dissipation the coupling to the environment leads to a narrowing of the density distribution and to a displacement towards the center of the array of accessible sites for large values of the dissipation we find a phase transition to a doubly degenerate phase which reflects the formation of an inhomogeneous effective potential within the array | [['we', 'analyze', 'the', 'phase', 'diagram', 'of', 'a', 'quantum', 'particle', 'confined', 'to', 'a', 'finite', 'chain', 'subject', 'to', 'a', 'dissipative', 'environment', 'described', 'by', 'an', 'ohmic', 'spectral', 'function', 'analytical', 'and', 'numerical', 'techniques', 'are', 'employed', 'to', 'explore', 'both', 'the', 'perturbative', 'and', 'nonperturbative', 'regime', 'of', 'the', 'model', 'for', 'small', 'dissipation', 'the', 'coupling', 'to', 'the', 'environment', 'leads', 'to', 'a', 'narrowing', 'of', 'the', 'density', 'distribution', 'and', 'to', 'a', 'displacement', 'towards', 'the', 'center', 'of', 'the', 'array', 'of', 'accessible', 'sites', 'for', 'large', 'values', 'of', 'the', 'dissipation', 'we', 'find', 'a', 'phase', 'transition', 'to', 'a', 'doubly', 'degenerate', 'phase', 'which', 'reflects', 'the', 'formation', 'of', 'an', 'inhomogeneous', 'effective', 'potential', 'within', 'the', 'array']] | [-0.16132358211384276, 0.16819563782050725, -0.08295958395106624, 0.05338384771503207, -0.011004925750177166, -0.0990723110218015, 0.07695228819890569, 0.3404725914952731, -0.26030942157023784, -0.2799477738826865, 0.07141618176147041, -0.24676766043359583, -0.0869160331409387, 0.14127390207417045, 0.03148694452423602, 0.027315226570624303, 0.017159751334199398, 0.0078576406419296, -0.07739057219728376, -0.1388041227679662, 0.29564698899371755, 0.09228133887988563, 0.2626031296835704, 0.06964674394464854, 0.09009486522920655, -0.017191430832485134, 0.02700793929868425, 0.03655431940775327, -0.16032729029768344, 0.09705554305048392, 0.20996785224086106, -0.0018511544442688576, 0.2509814812190304, -0.416411023069587, -0.21662860810568538, 0.07804002484184398, 0.14789994566870684, 0.16697578847460035, -0.05996270677676857, -0.29279260115340505, 0.018829771496280276, -0.19333098140178304, -0.1853776507201896, -0.05325220354051903, 0.02184881819200448, 0.020950200652346165, -0.3042646633823299, 0.07368687521801519, 0.028161319913436667, 0.0008741943824170816, -0.04083758371534071, -0.045510153568378, -0.008092521708646808, 0.1372245026921684, -0.002532595845005202, 0.024834504454500146, 0.13729599174206156, -0.16744136799307954, -0.050063523031169115, 0.37329563378083586, -0.09141319237103818, -0.16424598132090812, 0.21354018833318894, -0.16240952036936174, -0.0557202956065385, 0.1664922721119541, 0.1799573157361304, 0.09464370573616841, -0.13805357468399135, 0.07583106516907756, 0.044710555032714074, 0.16141847755308403, -0.021127755661974803, 0.02147873490225674, 0.23979246776287605, 0.1817020212377732, 0.058041125827591224, 0.2013466659500593, -0.10704620259654041, -0.17058247139188226, -0.31075807604374306, -0.12983669395643202, -0.19714954726379177, 0.04556157972870602, -0.08757405626458807, -0.226102466690307, 0.41921738775992634, 0.13855496797367034, 0.22153391097343028, 0.012571589664951192, 0.25987766061749573, 0.15297686683503214, 0.04745694718587053, 0.0288639973127048, 0.24972912542771247, 0.18535615936994101, 0.08772581027387971, -0.29259999836630407, 0.0017821838176160147, 0.022957229862140133] |
711.1326 | Tracing intermediate-mass black holes in the Galactic Centre | We have developed a new method for post-Newtonian, high-precision integration
of stellar systems containing a super-massive black hole (SMBH), splitting the
forces on a particle between a dominant central force and perturbations. We
used this method to perform fully collisional N-body simulations of
inspiralling intermediate-mass black holes (IMBHs) in the centre of the Milky
Way. We considered stellar cusps of different power-law indices and analysed
the effects of IMBHs of different masses, all starting from circular orbits at
an initial distance of 0.1 pc.
Our simulations show how IMBHs deplete the central cusp of stars, leaving
behind a flatter cusp with slope consistent with what has recently been
observed. If an additional IMBH spirals into such a flat cusp, it can take 50
Myr or longer to merge with the central SMBH, thus allowing for direct
observation in the near future. The final merger of the two black holes
involves gravitational wave radiation which may be observable with planned
gravitational wave detectors.
Furthermore, our simulations reveal detailed properties of the hypervelocity
stars (HVSs) created, and how generations of HVSs can be used to trace IMBHs in
the Galactic Centre. We find that significant rotation of HVSs (which would be
evidence for an IMBH) can only be expected among very fast stars (v > 1000
km/s). Also, the probability of creating a hypervelocity binary star is found
to be very small.
| astro-ph | we have developed a new method for postnewtonian highprecision integration of stellar systems containing a supermassive black hole smbh splitting the forces on a particle between a dominant central force and perturbations we used this method to perform fully collisional nbody simulations of inspiralling intermediatemass black holes imbhs in the centre of the milky way we considered stellar cusps of different powerlaw indices and analysed the effects of imbhs of different masses all starting from circular orbits at an initial distance of 01 pc our simulations show how imbhs deplete the central cusp of stars leaving behind a flatter cusp with slope consistent with what has recently been observed if an additional imbh spirals into such a flat cusp it can take 50 myr or longer to merge with the central smbh thus allowing for direct observation in the near future the final merger of the two black holes involves gravitational wave radiation which may be observable with planned gravitational wave detectors furthermore our simulations reveal detailed properties of the hypervelocity stars hvss created and how generations of hvss can be used to trace imbhs in the galactic centre we find that significant rotation of hvss which would be evidence for an imbh can only be expected among very fast stars v 1000 kms also the probability of creating a hypervelocity binary star is found to be very small | [['we', 'have', 'developed', 'a', 'new', 'method', 'for', 'postnewtonian', 'highprecision', 'integration', 'of', 'stellar', 'systems', 'containing', 'a', 'supermassive', 'black', 'hole', 'smbh', 'splitting', 'the', 'forces', 'on', 'a', 'particle', 'between', 'a', 'dominant', 'central', 'force', 'and', 'perturbations', 'we', 'used', 'this', 'method', 'to', 'perform', 'fully', 'collisional', 'nbody', 'simulations', 'of', 'inspiralling', 'intermediatemass', 'black', 'holes', 'imbhs', 'in', 'the', 'centre', 'of', 'the', 'milky', 'way', 'we', 'considered', 'stellar', 'cusps', 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711.1327 | The Fermat cubic and special Hurwitz loci in M_g | We compute the class of the locus in M_g of curves having a pencil with two
unspecified triple ramification points. This is the first example of a
geometric divisor on M_g which is not the pull-back of a divisor on the moduli
space of pseudo-stable curves. This space, in which elliptic tails are replaced
by cusps, appears as a result of the first divisorial contraction in the
minimal model program for M_g. In particular, we show that our divisor picks-up
the locus of Fermat cubic tails when restricted to the boundary divisor of
elliptic tails. We also give various enumerative applications concerning
coverings of the generic curve having special ramification behaviour.
| math.AG | we compute the class of the locus in m_g of curves having a pencil with two unspecified triple ramification points this is the first example of a geometric divisor on m_g which is not the pullback of a divisor on the moduli space of pseudostable curves this space in which elliptic tails are replaced by cusps appears as a result of the first divisorial contraction in the minimal model program for m_g in particular we show that our divisor picksup the locus of fermat cubic tails when restricted to the boundary divisor of elliptic tails we also give various enumerative applications concerning coverings of the generic curve having special ramification behaviour | [['we', 'compute', 'the', 'class', 'of', 'the', 'locus', 'in', 'm_g', 'of', 'curves', 'having', 'a', 'pencil', 'with', 'two', 'unspecified', 'triple', 'ramification', 'points', 'this', 'is', 'the', 'first', 'example', 'of', 'a', 'geometric', 'divisor', 'on', 'm_g', 'which', 'is', 'not', 'the', 'pullback', 'of', 'a', 'divisor', 'on', 'the', 'moduli', 'space', 'of', 'pseudostable', 'curves', 'this', 'space', 'in', 'which', 'elliptic', 'tails', 'are', 'replaced', 'by', 'cusps', 'appears', 'as', 'a', 'result', 'of', 'the', 'first', 'divisorial', 'contraction', 'in', 'the', 'minimal', 'model', 'program', 'for', 'm_g', 'in', 'particular', 'we', 'show', 'that', 'our', 'divisor', 'picksup', 'the', 'locus', 'of', 'fermat', 'cubic', 'tails', 'when', 'restricted', 'to', 'the', 'boundary', 'divisor', 'of', 'elliptic', 'tails', 'we', 'also', 'give', 'various', 'enumerative', 'applications', 'concerning', 'coverings', 'of', 'the', 'generic', 'curve', 'having', 'special', 'ramification', 'behaviour']] | [-0.22963790835135361, 0.042190896084701474, -0.18138541568239983, 0.09128252517601305, -0.11361447464336048, -0.1407389143100855, 0.026557918953370643, 0.3019600213547661, -0.31854700805111363, -0.20508874602277172, 0.11377867341507227, -0.25540059607010335, -0.15235906082459472, 0.22712842571676117, -0.15961512933400543, 0.02399044426327402, 0.0274288748560304, 0.06541479274376549, -0.09219498049086806, -0.3331185269931501, 0.4483370384032076, -0.08680181098593907, 0.14320139282975686, 0.05069307462333448, 0.05466481291011653, 0.013009005545807834, 0.02931325742551549, -0.0503127352763179, -0.1681116316576663, 0.16180605817459184, 0.267550592480058, 0.05078041313893416, 0.15581004460426895, -0.3442883672700687, -0.1762476451229304, 0.24792766288261522, 0.1297161365287717, -0.0064527999461543835, -0.0067504191114990545, -0.169173536806325, 0.07132578413425521, -0.11063675426624038, -0.270273303871297, -0.04758246501614022, 0.04322396184487099, 0.07009931550445882, -0.1749008266890252, -0.019796290742074646, 0.08490043186836622, 0.1675312252821062, -0.007931713107973337, -0.11649377642580393, -0.086919594229072, -0.0002371516890972006, 0.07205495626602153, 0.03663218078118834, 0.0462795489594679, -0.15277989534661174, -0.056665423546325075, 0.3860046873017299, -0.0821216055573049, -0.17526653813706203, 0.08349756647155367, -0.17790530470030552, -0.15157453344542193, 0.15982718747215008, 0.12262625384398482, 0.19921913909598846, -0.0369034047985968, 0.18591747809497808, -0.10949584210862998, 0.0728062778240366, 0.14192284039560366, -0.05447331077673218, 0.1675291331818285, 0.1204891738354821, 0.055347523592751136, 0.14788981952323493, -0.06320887174118649, -0.06757147959856824, -0.43757043487646363, -0.18725286694296467, -0.1211084664799273, 0.10466682252868353, -0.15412936545485123, -0.22709350331940434, 0.43951456207274037, 0.019699568242173303, 0.26887328865599225, 0.11862500671466643, 0.23200747521424836, 0.05534114500253715, 0.04568385060199282, 0.04303633330220526, 0.15245282169516114, 0.13693611754993484, -0.03396530203859915, -0.16157497603192247, 0.011822209858589552, 0.1764768570830876] |
711.1328 | Heavy Quarkonium Physics-Theoretical Status | We briefly review the theoretical status and the open theoretical challenges
in the physics of heavy quarkonium.
| hep-ph hep-ex | we briefly review the theoretical status and the open theoretical challenges in the physics of heavy quarkonium | [['we', 'briefly', 'review', 'the', 'theoretical', 'status', 'and', 'the', 'open', 'theoretical', 'challenges', 'in', 'the', 'physics', 'of', 'heavy', 'quarkonium']] | [-0.043476511998211634, 0.22106810653691783, -0.05560505850350156, 0.15198916635092566, -0.06824401437359698, -0.10801458314937704, 0.08844851384706356, 0.30472265052444797, -0.2614702334737076, -0.2356871493598994, 0.0964681222308975, -0.33079031372771545, -0.07030411886379999, 0.14519335691104918, -0.07287169740918804, 0.13866548722281175, 0.1193715029341333, 0.0056013358647332475, -0.10164263860925156, -0.26373031121843, 0.3267723619937897, 0.054420072585344315, 0.24777537562391339, 0.3139200171127039, -0.06095644787830465, -0.011958287179689197, -0.14783489342559786, -0.06486721635412644, -0.2295786397641196, 0.17197579528917284, 0.27267658447518067, 0.2013106512672761, 0.26245283371056705, -0.48793207766378627, -0.13193975821794832, -0.07491526248700478, 0.138817874399726, 0.15938523740452878, -0.23298198143568108, -0.25220780622433214, 0.028603594914516983, -0.18642770498991013, -0.2536170938435723, -0.01286092830602737, 0.00198700898053015, 0.020360203459858894, -0.08680447125259567, 0.023233724867596346, -0.02434959602268303, 0.07201901708236512, -0.059929252622703856, -0.3171699971837156, 0.14390789038118193, 0.0480607974836055, 0.14345028700635715, 0.03911724864669582, 0.10879317860064261, -0.25946168111198964, -0.23326065829571554, 0.4114321411094245, -0.03871809784322977, -0.11855181416167933, 0.1939645837444593, -0.1546561582123532, -0.2855409723432625, -0.08969403474646456, 0.20281905034447417, 0.014081704211147392, -0.1893222433350542, 0.1619252102305729, 0.014726000235361211, 0.028232901322874513, -0.12110019765575142, 0.16256578294012478, 0.29316219534067545, 0.3411447626045522, -0.1467836950083866, 0.05567161344430026, -0.0405190624159706, -0.16172875951537313, -0.48725727638777566, -0.11997369096121367, -0.015413961647187962, 0.006961925941355088, 0.08342066968822003, -0.09290116554235711, 0.5125505696324741, 0.2609324517714627, 0.18555048677851171, -0.1036803076208076, 0.3597295954823494, -0.01360220303211142, -0.1520110258613439, 0.08468266280696672, 0.2861749722677119, 0.19469519792234197, 0.16750511998201117, -0.31636397452915416, -0.0039500052054577016, -0.003739203216836733] |
711.1329 | Vibrational excitations in systems with correlated disorder | We investigate a $d$-dimensional model ($d$ = 2,3) for sound waves in a
disordered environment, in which the local fluctuations of the elastic modulus
are spatially correlated with a certain correlation length. The model is solved
analytically by means of a field-theoretical effective-medium theory
(self-consistent Born approximation) and numerically on a square lattice. As in
the uncorrelated case the theory predicts an enhancement of the density of
states over Debye's $\omega^{d-1}$ law (``boson peak'') as a result of
disorder. This anomay becomes reinforced for increasing correlation length
$\xi$. The theory predicts that $\xi$ times the width of the Brillouin line
should be a universal function of $\xi$ times the wavenumber. Such a scaling is
found in the 2d simulation data, so that they can be represented in a universal
plot. In the low-wavenumber regime, where the lattice structure is irrelevant
there is excellent agreement between the simulation at small disorder. At
larger disorder the continuum theory deviates from the lattice simulation data.
It is argued that this is due to an instability of the model with stronger
disorder.
| cond-mat.dis-nn cond-mat.other | we investigate a ddimensional model d 23 for sound waves in a disordered environment in which the local fluctuations of the elastic modulus are spatially correlated with a certain correlation length the model is solved analytically by means of a fieldtheoretical effectivemedium theory selfconsistent born approximation and numerically on a square lattice as in the uncorrelated case the theory predicts an enhancement of the density of states over debyes omegad1 law boson peak as a result of disorder this anomay becomes reinforced for increasing correlation length xi the theory predicts that xi times the width of the brillouin line should be a universal function of xi times the wavenumber such a scaling is found in the 2d simulation data so that they can be represented in a universal plot in the lowwavenumber regime where the lattice structure is irrelevant there is excellent agreement between the simulation at small disorder at larger disorder the continuum theory deviates from the lattice simulation data it is argued that this is due to an instability of the model with stronger disorder | [['we', 'investigate', 'a', 'ddimensional', 'model', 'd', '23', 'for', 'sound', 'waves', 'in', 'a', 'disordered', 'environment', 'in', 'which', 'the', 'local', 'fluctuations', 'of', 'the', 'elastic', 'modulus', 'are', 'spatially', 'correlated', 'with', 'a', 'certain', 'correlation', 'length', 'the', 'model', 'is', 'solved', 'analytically', 'by', 'means', 'of', 'a', 'fieldtheoretical', 'effectivemedium', 'theory', 'selfconsistent', 'born', 'approximation', 'and', 'numerically', 'on', 'a', 'square', 'lattice', 'as', 'in', 'the', 'uncorrelated', 'case', 'the', 'theory', 'predicts', 'an', 'enhancement', 'of', 'the', 'density', 'of', 'states', 'over', 'debyes', 'omegad1', 'law', 'boson', 'peak', 'as', 'a', 'result', 'of', 'disorder', 'this', 'anomay', 'becomes', 'reinforced', 'for', 'increasing', 'correlation', 'length', 'xi', 'the', 'theory', 'predicts', 'that', 'xi', 'times', 'the', 'width', 'of', 'the', 'brillouin', 'line', 'should', 'be', 'a', 'universal', 'function', 'of', 'xi', 'times', 'the', 'wavenumber', 'such', 'a', 'scaling', 'is', 'found', 'in', 'the', '2d', 'simulation', 'data', 'so', 'that', 'they', 'can', 'be', 'represented', 'in', 'a', 'universal', 'plot', 'in', 'the', 'lowwavenumber', 'regime', 'where', 'the', 'lattice', 'structure', 'is', 'irrelevant', 'there', 'is', 'excellent', 'agreement', 'between', 'the', 'simulation', 'at', 'small', 'disorder', 'at', 'larger', 'disorder', 'the', 'continuum', 'theory', 'deviates', 'from', 'the', 'lattice', 'simulation', 'data', 'it', 'is', 'argued', 'that', 'this', 'is', 'due', 'to', 'an', 'instability', 'of', 'the', 'model', 'with', 'stronger', 'disorder']] | [-0.15405180365329477, 0.1968136728992353, -0.10255869320992912, 0.08491399097588978, 0.027444373350590467, -0.13103225029472793, 0.027931973940825888, 0.34947648345625826, -0.26567721415444145, -0.22617284006838287, 0.03887305354300354, -0.316333726058448, -0.14930866656558855, 0.1544516589612301, 0.04353506666741201, 0.026797391117683478, -0.002675487573391625, 0.0427341288594263, -0.057538546479440164, -0.1877449776112501, 0.2680371932805117, 0.08250867523519057, 0.30284186446773154, 0.06356037440177585, 0.03190454744201686, 0.026871532100651945, 0.009936249165662697, 0.08338560500847442, -0.13722715023568266, 0.04169533669516178, 0.2046565002954698, -0.00786642831617168, 0.23989504382213844, -0.3918610136131091, -0.23970995667856188, 0.06289200531185737, 0.1618141722931926, 0.13631405647577985, 0.007854664448781737, -0.25024143811980526, 0.0793815691157111, -0.13992602009725358, -0.176949653431241, -0.014954410710238985, 0.06310284679223384, -0.013982491454641734, -0.3018282512033225, 0.14354206019214222, 0.02311881954648665, 0.06534924691809076, -0.0444637993896114, -0.05872074744531087, -0.03609776735971017, 0.06256857569994671, 0.053459255795189946, 0.08110438329566802, 0.11589629142146025, -0.1418551362119615, -0.0505337466193097, 0.3991051034712499, -0.08403560258980308, -0.18021853430063597, 0.14150195162610285, -0.15217911237185555, -0.08586081360865916, 0.16692166975832412, 0.12226295737017479, 0.07935943520049997, -0.1014454103863266, 0.11027695063335288, -0.08570748020628734, 0.213278439652973, 0.01835330124146172, 0.025273905346860245, 0.20704982755439622, 0.18986124646982977, 0.014562032106997712, 0.12746826705788927, -0.07554393146985343, -0.12685027053446643, -0.31992024579218453, -0.09353378908974784, -0.22468098694192512, 0.0664327103218862, -0.13037243771890644, -0.19227528858397688, 0.3453821821031826, 0.14631735646398739, 0.21715358121969205, 0.07219227290645774, 0.22743206355188575, 0.1793476090513702, 0.08200789831578731, 0.05741259676387667, 0.2485808565946562, 0.15211054595852536, 0.06931186952694718, -0.22210256323484437, 0.055223665446309106, 0.0445264769784574] |
711.133 | Homotopical equivalence of combinatorial and categorical semantics of
process algebra | It is possible to translate a modified version of K. Worytkiewicz's
combinatorial semantics of CCS (Milner's Calculus of Communicating Systems) in
terms of labelled precubical sets into a categorical semantics of CCS in terms
of labelled flows using a geometric realization functor. It turns out that a
satisfactory semantics in terms of flows requires to work directly in their
homotopy category since such a semantics requires non-canonical choices for
constructing cofibrant replacements, homotopy limits and homotopy colimits. No
geometric information is lost since two precubical sets are isomorphic if and
only if the associated flows are weakly equivalent. The interest of the
categorical semantics is that combinatorics totally disappears. Last but not
least, a part of the categorical semantics of CCS goes down to a pure
homotopical semantics of CCS using A. Heller's privileged weak limits and
colimits. These results can be easily adapted to any other process algebra for
any synchronization algebra.
| math.AT math.CT | it is possible to translate a modified version of k worytkiewiczs combinatorial semantics of ccs milners calculus of communicating systems in terms of labelled precubical sets into a categorical semantics of ccs in terms of labelled flows using a geometric realization functor it turns out that a satisfactory semantics in terms of flows requires to work directly in their homotopy category since such a semantics requires noncanonical choices for constructing cofibrant replacements homotopy limits and homotopy colimits no geometric information is lost since two precubical sets are isomorphic if and only if the associated flows are weakly equivalent the interest of the categorical semantics is that combinatorics totally disappears last but not least a part of the categorical semantics of ccs goes down to a pure homotopical semantics of ccs using a hellers privileged weak limits and colimits these results can be easily adapted to any other process algebra for any synchronization algebra | [['it', 'is', 'possible', 'to', 'translate', 'a', 'modified', 'version', 'of', 'k', 'worytkiewiczs', 'combinatorial', 'semantics', 'of', 'ccs', 'milners', 'calculus', 'of', 'communicating', 'systems', 'in', 'terms', 'of', 'labelled', 'precubical', 'sets', 'into', 'a', 'categorical', 'semantics', 'of', 'ccs', 'in', 'terms', 'of', 'labelled', 'flows', 'using', 'a', 'geometric', 'realization', 'functor', 'it', 'turns', 'out', 'that', 'a', 'satisfactory', 'semantics', 'in', 'terms', 'of', 'flows', 'requires', 'to', 'work', 'directly', 'in', 'their', 'homotopy', 'category', 'since', 'such', 'a', 'semantics', 'requires', 'noncanonical', 'choices', 'for', 'constructing', 'cofibrant', 'replacements', 'homotopy', 'limits', 'and', 'homotopy', 'colimits', 'no', 'geometric', 'information', 'is', 'lost', 'since', 'two', 'precubical', 'sets', 'are', 'isomorphic', 'if', 'and', 'only', 'if', 'the', 'associated', 'flows', 'are', 'weakly', 'equivalent', 'the', 'interest', 'of', 'the', 'categorical', 'semantics', 'is', 'that', 'combinatorics', 'totally', 'disappears', 'last', 'but', 'not', 'least', 'a', 'part', 'of', 'the', 'categorical', 'semantics', 'of', 'ccs', 'goes', 'down', 'to', 'a', 'pure', 'homotopical', 'semantics', 'of', 'ccs', 'using', 'a', 'hellers', 'privileged', 'weak', 'limits', 'and', 'colimits', 'these', 'results', 'can', 'be', 'easily', 'adapted', 'to', 'any', 'other', 'process', 'algebra', 'for', 'any', 'synchronization', 'algebra']] | [-0.12784968710835337, 0.058261570419601505, -0.10565852508635114, 0.10867442197392943, -0.15145353500510714, -0.1659081574149528, 0.06020995139222482, 0.36061211044311914, -0.37140952959644463, -0.23354409834504813, 0.08187651700389229, -0.2056343104529668, -0.08099139774046642, 0.14137423170215793, -0.20420705583743065, -0.02893530362052843, 0.09988584827729746, 0.10737541264940151, -0.06419443040215954, -0.23622108156498717, 0.3453728226289202, -0.018343244346875797, 0.22254331897360508, 0.008438346254957938, 0.12897508203260308, -0.03288818003095098, -0.03348262749894179, 0.07073625070226722, -0.0714197630599014, 0.13261813479843304, 0.3671755865675789, 0.16695567937322744, 0.20881725168376425, -0.40300967212227223, -0.11854116953480498, 0.1598866247682293, 0.12129083104848273, 0.05803219720990838, 0.05069655962027977, -0.31673274101615934, 0.10249744844239965, -0.20803195772092103, -0.021467190618798333, -0.12398025955955841, 0.05978498844074478, -0.017630727051015895, -0.2164220847903619, -0.07142769188718184, 0.1601352909377678, 0.12145264818498522, -0.03519213883555494, -0.06615938948724713, -0.11401645926678994, 0.08132094961872913, -0.03678385419238781, -0.0028894149191297687, 0.13961235126235375, -0.09267909925332979, -0.15505460691010262, 0.4049502509695135, -0.02947012569654218, -0.22944706248879237, 0.21183794529918631, -0.07235606611203893, -0.23399980999774447, 0.16403555811848491, -0.0018705050767350354, 0.1320702208475651, -0.1475976968159605, 0.17326092891476277, -0.08532524897294168, 0.14998756305277838, 0.13817598670108341, 0.062241759848946365, 0.2200830475010566, 0.14658327866958357, 0.051832378400783786, 0.14561101354124012, 0.05092726067270728, -0.13120629981590595, -0.3338222537728909, -0.17807038103867517, -0.0775019975354601, 0.05127205417365507, -0.09675898203156401, -0.201302695852447, 0.31786391337549214, 0.1567515650684455, 0.16279053252104572, 0.14888338140046567, 0.28660734179184627, 0.0683667886616221, 0.09763481358746312, 0.024707167873489914, 0.12621772867829636, 0.22218302018499295, 0.08235131265399487, -0.04284705618719224, 0.08219619655114672, 0.167667974013296] |
711.1331 | Ferroelectrically induced weak-ferromagnetism in a single-phase
multiferroic by design | We present a strategy to design structures for which a polar lattice
distortion induces weak ferromagnetism. We identify a large class of
multiferroic oxides as potential realizations and use density-functional theory
to screen several promising candidates. By elucidating the interplay between
the polarization and the Dzyaloshinskii-Moriya vector, we show how the
direction of the magnetization can be switched between 180$^{\circ}$ symmetry
equivalent states with an applied electric field.
| cond-mat.mtrl-sci | we present a strategy to design structures for which a polar lattice distortion induces weak ferromagnetism we identify a large class of multiferroic oxides as potential realizations and use densityfunctional theory to screen several promising candidates by elucidating the interplay between the polarization and the dzyaloshinskiimoriya vector we show how the direction of the magnetization can be switched between 180circ symmetry equivalent states with an applied electric field | [['we', 'present', 'a', 'strategy', 'to', 'design', 'structures', 'for', 'which', 'a', 'polar', 'lattice', 'distortion', 'induces', 'weak', 'ferromagnetism', 'we', 'identify', 'a', 'large', 'class', 'of', 'multiferroic', 'oxides', 'as', 'potential', 'realizations', 'and', 'use', 'densityfunctional', 'theory', 'to', 'screen', 'several', 'promising', 'candidates', 'by', 'elucidating', 'the', 'interplay', 'between', 'the', 'polarization', 'and', 'the', 'dzyaloshinskiimoriya', 'vector', 'we', 'show', 'how', 'the', 'direction', 'of', 'the', 'magnetization', 'can', 'be', 'switched', 'between', '180circ', 'symmetry', 'equivalent', 'states', 'with', 'an', 'applied', 'electric', 'field']] | [-0.19444274355191737, 0.14755548085689524, -0.03885661042295396, 0.04102857532373438, -0.12698476195938008, -0.1397164153989733, 0.0653236549885204, 0.44549241084057617, -0.34162153424147296, -0.2596386144526632, 0.021262922697454032, -0.24297769063645425, -0.1998325088609229, 0.16137249250416918, 0.05142082053455798, -0.036496787948314756, -0.05877811078201322, -0.06658960917197607, -0.09880914770559791, -0.19725983715890086, 0.2608035912477028, 0.0052322097848552995, 0.30990606917561414, 0.07595691983998917, 0.0781929662642891, 0.029239453902632436, 0.1511670206399525, 0.06875426672837313, -0.13001882146550892, 0.1304563704479198, 0.24660844294874765, -0.023276380674146554, 0.19718284054440172, -0.4487695898860693, -0.1901080459356308, 0.07390845102696296, 0.06380504857995273, 0.19115729342207916, -0.13991166788208134, -0.3146163600442164, 0.07744800429517294, -0.12926110769074192, -0.14944882697754486, -0.15553014077629676, -0.007042885115986471, 0.019072121584459263, -0.27738975069951266, 0.029151349533897114, 0.04256171511267038, 0.082201476318433, -0.10161502755534671, -0.10357970040401115, -0.051055449800675404, 0.08148602243540261, 0.09042807213742943, 0.0938497298013638, 0.12111359377398484, -0.09991517985883333, -0.17281436501755654, 0.38756515702013583, -0.06712033005725757, -0.174214734832811, 0.14649340960964122, -0.09360926139497143, -0.08605701433193377, 0.0915034085731296, 0.17223593250245733, 0.12275828408789546, -0.14131246151758686, 0.08952146067338831, 0.011359016082304366, 0.19289304838200813, 0.011216168894059271, 0.06738067807301003, 0.3039276978302309, 0.15486492962329923, 0.09926857641103733, 0.21237205112768553, -0.13780706084114225, -0.07547496286604334, -0.2874967080595739, -0.15323560784899576, -0.16897546624600449, 0.07474828333429553, -0.07591915987252244, -0.1522225304506719, 0.39501091731054816, 0.16683474142679616, 0.1673014760017395, -0.062095296992030105, 0.21732470973887863, 0.04400708997341366, 0.0823789668159888, 0.014953039809530737, 0.26976171283818345, 0.2169291855637258, 0.07452129800667, -0.2660576549002572, 0.056522996425080824, 0.01629813934200416] |
711.1332 | Pupil stabilization for SPHERE's extreme AO and high performance
coronagraph system | We propose a new concept of pupil motion sensor for astronomical adaptive
optics systems and present experimental results obtained during the first
laboratory validation of this concept. Pupil motion is an important issue in
the case of extreme adaptive optics, high contrast systems, such as the
proposed Planet Finder instruments for the ESO and Gemini 8-meter telescopes.
Such high contrast imaging instruments will definitively require pupil
stabilization to minimize the effect of quasi-static aberrations. The concept
for pupil stabilization we propose uses the flux information from the AO system
wave-front sensor to drive in closed loop a pupil tip-tilt mirror located in a
focal plane. A laboratory experiment validates this concept and demonstrates
its interest for high contrast imaging instrument.
| astro-ph | we propose a new concept of pupil motion sensor for astronomical adaptive optics systems and present experimental results obtained during the first laboratory validation of this concept pupil motion is an important issue in the case of extreme adaptive optics high contrast systems such as the proposed planet finder instruments for the eso and gemini 8meter telescopes such high contrast imaging instruments will definitively require pupil stabilization to minimize the effect of quasistatic aberrations the concept for pupil stabilization we propose uses the flux information from the ao system wavefront sensor to drive in closed loop a pupil tiptilt mirror located in a focal plane a laboratory experiment validates this concept and demonstrates its interest for high contrast imaging instrument | [['we', 'propose', 'a', 'new', 'concept', 'of', 'pupil', 'motion', 'sensor', 'for', 'astronomical', 'adaptive', 'optics', 'systems', 'and', 'present', 'experimental', 'results', 'obtained', 'during', 'the', 'first', 'laboratory', 'validation', 'of', 'this', 'concept', 'pupil', 'motion', 'is', 'an', 'important', 'issue', 'in', 'the', 'case', 'of', 'extreme', 'adaptive', 'optics', 'high', 'contrast', 'systems', 'such', 'as', 'the', 'proposed', 'planet', 'finder', 'instruments', 'for', 'the', 'eso', 'and', 'gemini', '8meter', 'telescopes', 'such', 'high', 'contrast', 'imaging', 'instruments', 'will', 'definitively', 'require', 'pupil', 'stabilization', 'to', 'minimize', 'the', 'effect', 'of', 'quasistatic', 'aberrations', 'the', 'concept', 'for', 'pupil', 'stabilization', 'we', 'propose', 'uses', 'the', 'flux', 'information', 'from', 'the', 'ao', 'system', 'wavefront', 'sensor', 'to', 'drive', 'in', 'closed', 'loop', 'a', 'pupil', 'tiptilt', 'mirror', 'located', 'in', 'a', 'focal', 'plane', 'a', 'laboratory', 'experiment', 'validates', 'this', 'concept', 'and', 'demonstrates', 'its', 'interest', 'for', 'high', 'contrast', 'imaging', 'instrument']] | [-0.14597677265216286, 0.10396904458090526, -0.10415571534443492, 0.015295861590614853, -0.10438918904401362, -0.14154209037078544, -0.03480669817072339, 0.4183280978972713, -0.2126792523098023, -0.34144540114017824, 0.1679349453644439, -0.22838859423645771, -0.1946449288671526, 0.238953265408054, -0.19690845203585922, 0.12254609384835931, 0.13922950969281372, -0.05824117316903236, 0.002908476593438536, -0.17665743814626086, 0.2643823492185523, 0.16879214663931635, 0.2640657294871441, -0.03367680891727408, 0.1981950787672152, 0.07538546969687256, -0.046172465442214164, -0.006789108565620457, -0.10793953333050013, 0.07755054034108373, 0.30701529258706917, 0.11767027866250525, 0.27787862576854727, -0.3750106178379307, -0.17283343083690852, 0.04319298481180643, 0.12208249884812782, 0.054752473797028266, -0.10566853516114255, -0.30551562855447023, -0.0199504303590705, -0.13574295705960443, -0.20178773735339442, -0.011783851582246522, -0.06954090117942542, 0.0031959409127011893, -0.3036391839540253, -0.05688580284671237, -0.008890532007596146, 0.15439345417156194, -0.10236293385696627, -0.06582125111308415, 0.07015378143211516, 0.141658836362573, -0.10997190120979213, 0.05064849915506784, 0.13945330171845854, -0.1365922864662328, -0.0712460029637441, 0.37315854298261303, -0.02033138395442317, -0.10726013736178477, 0.13416675549621385, -0.2021886294503929, -0.10692358493882542, 0.13551761931739748, 0.218036565828758, 0.1447450236029302, -0.13486385349024205, 0.005233447139714068, 0.047087763145100325, 0.20288968409101168, 0.07625001391085486, 0.06555853358780345, 0.2557793195437019, 0.22216309962871794, 0.1337030652561225, 0.1612744149072872, -0.3080381744230787, -0.03606438091179977, -0.28214099900020906, -0.15938543155789375, -0.14848752384520292, -0.06529486566626777, -0.061913450636226726, -0.13329979316719498, 0.2919776764543106, 0.22744083559761444, 0.07597199037748699, -0.00673470048350282, 0.4178837016224861, 0.011130433198801862, 0.12648712674854323, -0.05249042566477632, 0.36448419354856015, 0.08302196828493227, 0.203031690325588, -0.23476266039263768, 0.014704097950986277, 0.028679522891373686] |
711.1333 | Cellular structures, quasisymmetric mappings, and spaces of homogeneous
type | A class of Cantor-type spaces and related geometric structures are discussed.
| math.CA | a class of cantortype spaces and related geometric structures are discussed | [['a', 'class', 'of', 'cantortype', 'spaces', 'and', 'related', 'geometric', 'structures', 'are', 'discussed']] | [-0.1484896262938326, 0.1696585291488604, -0.016603300178592854, 0.24921088784255765, -0.11951108022846958, -0.08531377731229771, -0.10863092067566785, 0.42573747377504, -0.33402465656399727, -0.17999002371322026, 0.2199274454562163, -0.21500521957535634, -0.2477833747186444, 0.2783767587759278, -0.1638918248936534, 0.07496396883983504, 0.0037569484080780635, 0.03402901390059428, -0.14168548844331366, -0.2253312018107284, 0.48943500356240704, -0.06913384295661341, 0.24965854768048634, -0.00898021500853991, 0.06893891993571412, -0.07251555912873962, -0.11462639272212982, 0.15244509279727936, -0.22395039510659195, 0.2530486746267839, 0.25697076557712123, 0.030163695273751564, 0.1875146682458845, -0.27269778468392114, -0.2203685687854886, 0.10085567815059965, 0.01167083578184247, -0.012910163876685228, -0.06694831267337907, -0.3503689515319737, 0.08665549331767992, -0.06575745750557292, -0.14054144072261723, -0.15635077469050884, 0.025232963771982628, 0.12266287783330138, -0.20836313712325963, -0.0043805744498968124, 0.09291849048300223, 0.07075426439669999, -0.12393895938823168, -0.14515229924158615, -0.036016494035720825, 0.04576508950611407, -0.05283744802529162, -0.010571967471729626, 0.08462538299235431, -0.043860449963672596, -0.19258387623862785, 0.4306687658483332, 0.10053242133422331, -0.26644297248937865, 0.21405839920043945, -0.0668476161293008, -0.21623743388971145, 0.10887770828875629, 0.14243782989003442, 0.1750538582828912, -0.06386737203733488, 0.1388712819951417, -0.04650241644545035, 0.012907726436176083, 0.10247275864028117, 0.17417441054501318, 0.15595437975769694, 0.11757404115897688, 0.06281124038452451, 0.2012004992839965, 0.005679321390661326, -0.15137117526980795, -0.37256570837714453, -0.1538331751627001, -0.12027306753126057, 0.010707449506629597, -0.07074104448309465, -0.2476019144735553, 0.40149151669307187, -0.01120714284479618, 0.21980183571577072, 0.05252033105882054, 0.059242096306248146, 0.024022256151180376, 0.002894794060425325, 0.003336247903379527, 0.11137000302022154, 0.2586676764555953, 0.035991523287851705, -0.08351097264411775, 0.04158992459997535, 0.15320012360726568] |
711.1334 | Recursive state estimation for noncausal discrete-time descriptor
systems under uncertainties | This paper describes a method for the online state estimation of systems
described by a general class of linear noncausal time-varying difference
descriptor equations subject to uncertainties. The method is based on the
notions of a linear minimax estimation and an index of causality introduced
here for singular difference equations. The online minimax estimator is derived
by the application of the dynamical programming and Moore's pseudoinverse
theory to the minimax estimation problem. It coincides with Kalman's filter for
regular systems. A numerical example of the state estimation for 2D noncasual
descriptor system is presented.
Keywords: Kalman filtering, online state observer, guaranteed estimation,
descriptor systems, singular systems, DAEs.
| math.OC | this paper describes a method for the online state estimation of systems described by a general class of linear noncausal timevarying difference descriptor equations subject to uncertainties the method is based on the notions of a linear minimax estimation and an index of causality introduced here for singular difference equations the online minimax estimator is derived by the application of the dynamical programming and moores pseudoinverse theory to the minimax estimation problem it coincides with kalmans filter for regular systems a numerical example of the state estimation for 2d noncasual descriptor system is presented keywords kalman filtering online state observer guaranteed estimation descriptor systems singular systems daes | [['this', 'paper', 'describes', 'a', 'method', 'for', 'the', 'online', 'state', 'estimation', 'of', 'systems', 'described', 'by', 'a', 'general', 'class', 'of', 'linear', 'noncausal', 'timevarying', 'difference', 'descriptor', 'equations', 'subject', 'to', 'uncertainties', 'the', 'method', 'is', 'based', 'on', 'the', 'notions', 'of', 'a', 'linear', 'minimax', 'estimation', 'and', 'an', 'index', 'of', 'causality', 'introduced', 'here', 'for', 'singular', 'difference', 'equations', 'the', 'online', 'minimax', 'estimator', 'is', 'derived', 'by', 'the', 'application', 'of', 'the', 'dynamical', 'programming', 'and', 'moores', 'pseudoinverse', 'theory', 'to', 'the', 'minimax', 'estimation', 'problem', 'it', 'coincides', 'with', 'kalmans', 'filter', 'for', 'regular', 'systems', 'a', 'numerical', 'example', 'of', 'the', 'state', 'estimation', 'for', '2d', 'noncasual', 'descriptor', 'system', 'is', 'presented', 'keywords', 'kalman', 'filtering', 'online', 'state', 'observer', 'guaranteed', 'estimation', 'descriptor', 'systems', 'singular', 'systems', 'daes']] | [-0.09735188502209069, -0.02280615714351999, -0.12454347207132622, 0.059866006086824165, -0.06605908024847229, -0.20415714389762066, -0.009518823877986625, 0.32878012583530114, -0.31355944805056135, -0.2503082789306607, 0.1817763415796282, -0.27233322567054047, -0.2155060601533852, 0.1815939084322096, -0.15933394560451122, 0.18098378745473434, 0.06743506811968286, 0.052398595917604374, -0.12547675208580272, -0.23730303150401494, 0.30999277092551236, 0.060271051298896566, 0.298737474338578, -0.06730570264756854, 0.19889013630677468, 0.054942502080959, -0.041189111227378526, 0.04559960579020885, -0.1369268320931696, 0.15046594888037157, 0.3147360090793015, 0.14676860333899053, 0.33213416604917045, -0.28752612679430817, -0.2159533387520046, 0.083055533520947, 0.11293999770238439, 0.11235530077366629, -0.029042248593460523, -0.3532320967240033, 0.05399099983727542, -0.1886493125495231, -0.08641242100117362, -0.04343788369306337, -0.0037516256594142625, -0.025884269514756503, -0.3498882080175888, 0.11267118389439708, 0.08086794394663553, 0.06589322147682031, -0.10409630612235203, -0.10902629541363741, 0.04646940648372973, 0.05380005402072707, -0.013945145125579194, -0.043772155190513376, 0.13423588686561752, -0.0992327991320325, -0.14071502681020823, 0.33541917355696316, -0.04469671536554696, -0.2657837327743802, 0.12678127713222928, -0.03080662637600832, -0.10436590178652067, 0.12060153790723498, 0.23120602258594236, 0.12956846573729522, -0.18905029992494626, 0.09999123848568067, -0.04603174488303887, 0.1709585613266469, -0.005375081412146024, 0.015508417404043514, 0.1280470711296581, 0.18968870878985553, 0.16922939581813934, 0.1279265808994734, -0.03831360523728219, -0.13088377482349176, -0.2837220586697075, -0.11812406435835167, -0.2236548230097146, -0.04953843325150208, -0.134018137885386, -0.21844913699081012, 0.3637519261416779, 0.14568752589174241, 0.08396880280783522, 0.11659899296534952, 0.3167414456523224, 0.18978320042141408, -0.03271691316181672, 0.11605095278872089, 0.2127569677247274, 0.186491345451431, 0.11670597749283519, -0.22843673494513902, 0.10718166339863962, 0.14419291829298658] |
711.1335 | 4He adsorbed inside (10,10) single walled carbon nanotubes | Diffusion Monte Carlo calculations on the adsorption of $^4$He in open-ended
single walled (10,10) nanotubes are presented. We have found a first order
phase transition separating a low density liquid phase in which all $^4$He
atoms are adsorbed close to the tube wall and a high density arrangement
characterized by two helium concentric layers. The energy correction due to the
presence of neighboring tubes in a bundle has also been calculated, finding it
negligible in the density range considered.
| cond-mat.mtrl-sci | diffusion monte carlo calculations on the adsorption of 4he in openended single walled 1010 nanotubes are presented we have found a first order phase transition separating a low density liquid phase in which all 4he atoms are adsorbed close to the tube wall and a high density arrangement characterized by two helium concentric layers the energy correction due to the presence of neighboring tubes in a bundle has also been calculated finding it negligible in the density range considered | [['diffusion', 'monte', 'carlo', 'calculations', 'on', 'the', 'adsorption', 'of', '4he', 'in', 'openended', 'single', 'walled', '1010', 'nanotubes', 'are', 'presented', 'we', 'have', 'found', 'a', 'first', 'order', 'phase', 'transition', 'separating', 'a', 'low', 'density', 'liquid', 'phase', 'in', 'which', 'all', '4he', 'atoms', 'are', 'adsorbed', 'close', 'to', 'the', 'tube', 'wall', 'and', 'a', 'high', 'density', 'arrangement', 'characterized', 'by', 'two', 'helium', 'concentric', 'layers', 'the', 'energy', 'correction', 'due', 'to', 'the', 'presence', 'of', 'neighboring', 'tubes', 'in', 'a', 'bundle', 'has', 'also', 'been', 'calculated', 'finding', 'it', 'negligible', 'in', 'the', 'density', 'range', 'considered']] | [-0.12659686796744413, 0.22804253477650352, -0.012283139985903531, 0.0037438193235923593, 0.07183246913696109, -0.11833683008776058, 0.04838706496690365, 0.4398184636065477, -0.20417744019127723, -0.32155028767176447, 0.018937309602676314, -0.31280992467758023, -0.060074848594450496, 0.0920145652533945, 0.046849321609339384, 0.02545196982100606, 0.0407769758655112, -0.006886106797883027, -0.10752270157342847, -0.19749784565831335, 0.2328266288165616, 0.06652047822275493, 0.3178041902948407, 0.09563055966355943, 0.06263771821167084, -0.06651631513127138, 0.05882438725520727, 0.04283768895872032, -0.1966932636296636, 0.05961377769885467, 0.2637970989239933, -0.10348711033422453, 0.19030106753771064, -0.4892434496196765, -0.22114862448571226, 0.07511227578808895, 0.15958192278454197, 0.11800710152380782, -0.07949608633489218, -0.2367108940748097, 0.041074377325469556, -0.18284944595792627, -0.10774011552168787, -0.03909914704228315, 0.020638364968420583, 0.0361335498300717, -0.17885541921198556, 0.062173891349480474, -0.0173251882661134, 0.0310610159692801, -0.08015710620292096, -0.15455693716206884, -0.0696134026857871, 0.055661892483034464, 0.01316331206567444, 0.03421943052377127, 0.21384380301578512, -0.09890914451378056, -0.021932371962768368, 0.38080540815769115, -0.07773664443535565, -0.1562872628881773, 0.1807786293705053, -0.19003808736518213, -0.08548541963571989, 0.2637095042869826, 0.10983575856360266, 0.12832584291920537, -0.12058336423309166, 0.03421676954913212, -0.02171352840341109, 0.16950906815944547, 0.12167968096423752, -0.04261402547052955, 0.24028710569431888, 0.21444674024853524, -0.00444279209993591, 0.14206613833674148, -0.16041561655546951, -0.12042896070847689, -0.24198193640648563, -0.20578758771342662, -0.20392761976145726, 0.015574389231638818, -0.06213670310176043, -0.2226003399118781, 0.3324032864427265, 0.07262146939771084, 0.1997026010045098, -0.0523724318644079, 0.266196221549394, 0.10063732927075669, 0.07225793218711697, 0.02005050099582656, 0.27968627950058705, 0.21874739687972336, 0.06108717487747722, -0.22203978372419464, 0.06341931953012378, 0.058293666899840856] |
711.1336 | Parabolic Iterated Function Systems with Applications to the Backward
Continued Fractions | To the Renyi or backward continued fraction transformation we associate a
parabolic iterated function system whose limit set has Hausdorff dimension 1.
We show that the Texan Conjecture holds, i.e. for every t in1] there exists a
subsystem whose limit set has Hausdorff dimension t
| math.DS | to the renyi or backward continued fraction transformation we associate a parabolic iterated function system whose limit set has hausdorff dimension 1 we show that the texan conjecture holds ie for every t in1 there exists a subsystem whose limit set has hausdorff dimension t | [['to', 'the', 'renyi', 'or', 'backward', 'continued', 'fraction', 'transformation', 'we', 'associate', 'a', 'parabolic', 'iterated', 'function', 'system', 'whose', 'limit', 'set', 'has', 'hausdorff', 'dimension', '1', 'we', 'show', 'that', 'the', 'texan', 'conjecture', 'holds', 'ie', 'for', 'every', 't', 'in1', 'there', 'exists', 'a', 'subsystem', 'whose', 'limit', 'set', 'has', 'hausdorff', 'dimension', 't']] | [-0.20114125036211175, 0.1352431942200796, -0.08693154295906425, 0.04004915926436132, 0.01762039550918747, -0.19480073648314414, 0.09963981898776679, 0.30275855687531555, -0.30883968384428456, -0.1320022962569386, 0.07894330514086918, -0.3781646841406738, -0.09029728104889562, 0.17463538552824917, -0.07357281147745777, 0.07065666365352544, 0.04261808960952542, 0.1470320485691032, -0.042870699168733234, -0.2778565568680113, 0.35341308307198976, -0.13136820797808468, 0.1894500191873786, 0.04381316219752824, 0.20821048056876118, 0.035565456571269104, 0.054036568448116835, 0.07962087622251023, -0.19242955973475712, 0.0382272016788854, 0.23053348733281548, 0.14036530189597132, 0.30042549849233846, -0.2614884969681787, -0.15807350744514473, 0.2642325256231495, 0.14930321676233274, -0.016426324272866954, 0.009521959846923974, -0.20255237389144234, 0.12868292930281974, -0.18205225327983499, -0.2367672081401741, -0.0730680991160129, 0.18316913226788695, -0.07709043502638285, -0.2901546595279466, 0.015663077435915926, 0.14341732753779401, 0.07642355216243728, -0.01694925556975332, -0.07338754494875585, -0.07315991889812391, 0.1041714691302993, -0.011082969542423432, 0.12267172323878515, 0.08660136534573129, -0.01231693444688889, -0.11489770121195099, 0.3263241190420972, -0.0844420621288009, -0.22712288843467832, 0.17756169640713118, -0.2842711487954313, -0.1675705254416574, 0.13674778659531678, 0.07357450337572531, 0.08116629262539474, -0.04650170326402241, 0.2514182864582505, -0.15991631179878657, 0.19165560840205711, 0.15560449488376352, 0.042542111266150394, 0.10390717580660501, 0.12073049723932688, 0.1709136488021944, 0.1650912054306404, -0.02421693099577996, 0.00351025972684676, -0.32681236653165385, -0.17094611478122798, -0.20286608334969392, 0.1872017832303589, -0.12304980679288167, -0.2190334231656214, 0.2345781270573339, 0.06931727758968588, 0.18261328430592336, 0.19606854070231997, 0.16115413847728632, 0.21214674551116663, 0.032010637848130005, 0.15010411313414807, 0.10674235207790678, 0.1278562064928172, 0.03095812320084819, -0.14696490849283608, 0.040728166614743794, 0.2611641714942049] |
711.1337 | External Fields as a Probe for Fundamental Physics | Quantum vacuum experiments are becoming a flexible tool for investigating
fundamental physics. They are particularly powerful for searching for new light
but weakly interacting degrees of freedom and are thus complementary to
accelerator-driven experiments. I review recent developments in this field,
focusing on optical experiments in strong electromagnetic fields. In order to
characterize potential optical signatures, I discuss various low-energy
effective actions which parameterize the interaction of particle-physics
candidates with optical photons and external electromagnetic fields.
Experiments with an electromagnetized quantum vacuum and optical probes do not
only have the potential to collect evidence for new physics, but
special-purpose setups can also distinguish between different particle-physics
scenarios and extract information about underlying microscopic properties.
| hep-ph hep-th quant-ph | quantum vacuum experiments are becoming a flexible tool for investigating fundamental physics they are particularly powerful for searching for new light but weakly interacting degrees of freedom and are thus complementary to acceleratordriven experiments i review recent developments in this field focusing on optical experiments in strong electromagnetic fields in order to characterize potential optical signatures i discuss various lowenergy effective actions which parameterize the interaction of particlephysics candidates with optical photons and external electromagnetic fields experiments with an electromagnetized quantum vacuum and optical probes do not only have the potential to collect evidence for new physics but specialpurpose setups can also distinguish between different particlephysics scenarios and extract information about underlying microscopic properties | [['quantum', 'vacuum', 'experiments', 'are', 'becoming', 'a', 'flexible', 'tool', 'for', 'investigating', 'fundamental', 'physics', 'they', 'are', 'particularly', 'powerful', 'for', 'searching', 'for', 'new', 'light', 'but', 'weakly', 'interacting', 'degrees', 'of', 'freedom', 'and', 'are', 'thus', 'complementary', 'to', 'acceleratordriven', 'experiments', 'i', 'review', 'recent', 'developments', 'in', 'this', 'field', 'focusing', 'on', 'optical', 'experiments', 'in', 'strong', 'electromagnetic', 'fields', 'in', 'order', 'to', 'characterize', 'potential', 'optical', 'signatures', 'i', 'discuss', 'various', 'lowenergy', 'effective', 'actions', 'which', 'parameterize', 'the', 'interaction', 'of', 'particlephysics', 'candidates', 'with', 'optical', 'photons', 'and', 'external', 'electromagnetic', 'fields', 'experiments', 'with', 'an', 'electromagnetized', 'quantum', 'vacuum', 'and', 'optical', 'probes', 'do', 'not', 'only', 'have', 'the', 'potential', 'to', 'collect', 'evidence', 'for', 'new', 'physics', 'but', 'specialpurpose', 'setups', 'can', 'also', 'distinguish', 'between', 'different', 'particlephysics', 'scenarios', 'and', 'extract', 'information', 'about', 'underlying', 'microscopic', 'properties']] | [-0.09626664748761506, 0.20159261205258874, -0.06213176551283197, 0.10183244423870723, -0.13234257063441043, -0.2058022451438669, -0.020543139982160872, 0.407027527640483, -0.2280884057580106, -0.34323507806170833, 0.08062935799908355, -0.28865593370149095, -0.12895643885404004, 0.253963299488146, 0.043270343650890664, 0.017027046712758266, 0.03549799076240279, 0.0011046479447884897, -0.031564016627617576, -0.19358291440907108, 0.2859236575061439, 0.07028104054362438, 0.27563482021863484, 0.10320920694157877, 0.06770792292777152, 0.02576608718496508, -0.0773694425475149, 0.0028120840907888073, -0.13103124075177727, 0.12587685565736179, 0.2709200089324505, 0.11004246634109753, 0.20715953703079604, -0.4709009025328323, -0.24970698511574121, 0.11340060905940764, 0.12432568023121396, 0.15985146091027036, -0.12919689467448775, -0.2986166241900188, 0.007975655813923978, -0.11022954553868457, -0.13776998781079872, -0.17854264600251893, 0.0173927589115662, 0.031258461189217275, -0.24088519996246405, -0.009977966692789038, -0.022181523858726158, 0.06598780337984847, -0.024191035351312135, -0.08885358556058356, 0.06277521346403138, 0.12601854472907376, 0.02706853559949493, 0.0026992469710767665, 0.14972469274498587, -0.24283781995073753, -0.15088092629690614, 0.38912675137409064, -0.040166563019609754, -0.1477925701487183, 0.2821612722998633, -0.13311862082640946, -0.13506476934669556, 0.07417679107459509, 0.20635955669518985, 0.09175747127861476, -0.19432858376046724, 0.06755736123036955, 0.01056859235122668, 0.14539657046851512, 0.012553294119734186, 0.18004662800267074, 0.31960580455122795, 0.12759581192569658, -0.021000703114736, 0.07313243021974258, -0.062409301908620825, -0.09409331606775193, -0.3066948305123148, -0.1318755964089218, -0.1305548559639405, 0.049964795519718365, -0.03549276336134345, -0.10879762912070197, 0.38956661320464536, 0.19104300750382408, 0.1334581232085758, -0.06808224855613096, 0.2924756421748779, 0.0317538176143987, 0.06206567039861616, 0.026201626388933016, 0.33459080287576776, 0.12772577837010665, 0.08264851488947736, -0.17865929953275925, -0.01670419112305297, -0.027317921927742725] |
711.1338 | Catalan numbers and power laws in cellular automaton rule 14 | We discuss example of an elementary cellular automaton for which the density
of ones decays toward its limiting value as a power of the number of iterations
$n$. Using the fact that this rule conserves the number of blocks 10 and that
preimages of some other blocks exhibit patterns closely related to patterns
observed in rule 184, we derive expressions for the number of $n$-step
preimages of all blocks of length 3. These expressions involve Catalan numbers,
and together with basic properties of iterated probability measures they allow
us to to compute the density of ones after $n$ iterations, as well as
probabilities of occurrence of arbitrary block of length smaller or equal to 3.
| nlin.CG | we discuss example of an elementary cellular automaton for which the density of ones decays toward its limiting value as a power of the number of iterations n using the fact that this rule conserves the number of blocks 10 and that preimages of some other blocks exhibit patterns closely related to patterns observed in rule 184 we derive expressions for the number of nstep preimages of all blocks of length 3 these expressions involve catalan numbers and together with basic properties of iterated probability measures they allow us to to compute the density of ones after n iterations as well as probabilities of occurrence of arbitrary block of length smaller or equal to 3 | [['we', 'discuss', 'example', 'of', 'an', 'elementary', 'cellular', 'automaton', 'for', 'which', 'the', 'density', 'of', 'ones', 'decays', 'toward', 'its', 'limiting', 'value', 'as', 'a', 'power', 'of', 'the', 'number', 'of', 'iterations', 'n', 'using', 'the', 'fact', 'that', 'this', 'rule', 'conserves', 'the', 'number', 'of', 'blocks', '10', 'and', 'that', 'preimages', 'of', 'some', 'other', 'blocks', 'exhibit', 'patterns', 'closely', 'related', 'to', 'patterns', 'observed', 'in', 'rule', '184', 'we', 'derive', 'expressions', 'for', 'the', 'number', 'of', 'nstep', 'preimages', 'of', 'all', 'blocks', 'of', 'length', '3', 'these', 'expressions', 'involve', 'catalan', 'numbers', 'and', 'together', 'with', 'basic', 'properties', 'of', 'iterated', 'probability', 'measures', 'they', 'allow', 'us', 'to', 'to', 'compute', 'the', 'density', 'of', 'ones', 'after', 'n', 'iterations', 'as', 'well', 'as', 'probabilities', 'of', 'occurrence', 'of', 'arbitrary', 'block', 'of', 'length', 'smaller', 'or', 'equal', 'to', '3']] | [-0.14776855868555647, 0.1601167217029876, -0.03879645823225197, 0.06577811876322022, -0.018287304487160365, -0.12454835624363192, 0.10471926645436527, 0.3044168017156746, -0.25706627674036375, -0.32558054557960964, 0.09702276654602231, -0.2764473691177757, -0.14393126929998803, 0.18965950589222105, -0.010760814842322598, 0.060033870374520674, -0.0037207335152703784, 0.11052711351936602, -0.047566831116969494, -0.25932446482145916, 0.27754874521785455, 0.03658754731042554, 0.23586224033497274, -0.013377865715681211, 0.07288015595353815, 0.022983124289337707, -0.055471549383567076, 0.018438046793048474, -0.1254267400217941, 0.10992229597481049, 0.23091740859874887, 0.17499560018515456, 0.22597404983218597, -0.45152129122744433, -0.12221946908140797, 0.1382676556058552, 0.1786465087176665, 0.07764808011985302, 0.046311785736242714, -0.2009172408072197, 0.13350495433272874, -0.15472230202032497, -0.19266292448762967, -0.05413858186777519, 0.08956488170458571, 0.11475574113428592, -0.2618783851852641, 0.04882911637263453, 0.0798401570038708, 0.04358561986490436, -0.008104925129927047, -0.18682629963302094, 0.005829291337210199, 0.1587270919456268, 0.0772247296757996, -0.05443169904224898, 0.13283137166872622, -0.12756699679378905, -0.13133001944617084, 0.3551046247067659, -0.01802063106721186, -0.178116263643555, 0.1649935903068146, -0.14252216937830267, -0.13851670866589183, 0.1719228887849528, 0.1339822010582556, 0.11465529079508523, -0.07057428359175506, 0.02599192643031964, -0.06995923004275106, 0.13606944847042146, 0.12817375242062237, 0.09758951999247074, 0.1770238089253721, 0.09451160783178436, 0.08077186269523656, 0.14612452003183654, -0.06576087053703225, -0.10665896856428489, -0.31828581349033375, -0.1896481846054287, -0.17182704831534268, 0.07040976044600425, -0.11931302131168828, -0.18686450356415107, 0.37267995936715087, 0.12816634650301675, 0.27156459895650975, 0.17067095660705767, 0.22435894064281298, 0.12355054741340649, 0.09378806253409257, 0.03930246651618053, 0.10147754560634696, 0.17016845197497826, 0.008229556197867445, -0.18792457805703516, 0.042935411872990104, 0.13132728826983467] |
711.1339 | Predictive pion-quark BCS relation and Thornber-Feynman high-Tc gap | A pion-quark pairing temperature is defined by a BCS-like relation identified
from a quark-level Goldberger-Treiman relation with a Nambu scalar mass "gap
parameter" taken in the low-mass limit. This intuitive relation predicts the
associated "experimental" lattice-gauge pairing temperature. The opposite
high-mass limit predicts the sigma mass, and notably has a predictive analog in
high-Tc superconductivity in the stable nondispersive energy gap as defined by
Thornber-Feynman polaron dynamics.
| hep-ph cond-mat.supr-con | a pionquark pairing temperature is defined by a bcslike relation identified from a quarklevel goldbergertreiman relation with a nambu scalar mass gap parameter taken in the lowmass limit this intuitive relation predicts the associated experimental latticegauge pairing temperature the opposite highmass limit predicts the sigma mass and notably has a predictive analog in hightc superconductivity in the stable nondispersive energy gap as defined by thornberfeynman polaron dynamics | [['a', 'pionquark', 'pairing', 'temperature', 'is', 'defined', 'by', 'a', 'bcslike', 'relation', 'identified', 'from', 'a', 'quarklevel', 'goldbergertreiman', 'relation', 'with', 'a', 'nambu', 'scalar', 'mass', 'gap', 'parameter', 'taken', 'in', 'the', 'lowmass', 'limit', 'this', 'intuitive', 'relation', 'predicts', 'the', 'associated', 'experimental', 'latticegauge', 'pairing', 'temperature', 'the', 'opposite', 'highmass', 'limit', 'predicts', 'the', 'sigma', 'mass', 'and', 'notably', 'has', 'a', 'predictive', 'analog', 'in', 'hightc', 'superconductivity', 'in', 'the', 'stable', 'nondispersive', 'energy', 'gap', 'as', 'defined', 'by', 'thornberfeynman', 'polaron', 'dynamics']] | [-0.19005626035769554, 0.22164496987225543, -0.1080778309877849, 0.18771070145973653, -0.06927010369007335, -0.1762574515940452, 0.12334435385172114, 0.29272325266025623, -0.18429734721554047, -0.2717163114637405, -0.06252731557535961, -0.2791123382295623, -0.08197766531145934, 0.11896710725021407, 0.009675042336863098, 0.03275747571112306, -0.036896753004949656, 0.05502584185733488, -0.13392787355449842, -0.11975034093484282, 0.3515412481431144, 0.013000334547762053, 0.2879431249686714, 0.07080924007194964, 0.04778998064328775, -0.01081888876135715, 0.06336354721817329, 0.0049226730074169054, -0.18983172104609283, 0.006018972673425169, 0.3019663505256176, -0.06423210829609272, 0.19081828621159674, -0.28260174811337935, -0.22108889903139436, 0.044070779007266865, 0.1623428694790963, 0.04911226705845558, -0.06577443624987747, -0.2841561316992297, -0.012841968853591066, -0.23106287291386363, -0.17581989238687762, -0.019815952559425073, 0.01962130447623856, -0.06062227520019268, -0.23092515271326358, 0.18516442787861734, 0.055857272906878, 0.03661039036303533, -0.10197625821456313, -0.13497235709942426, -0.11969085438459208, 0.0002745051205045346, 0.07587937063495205, 0.0949805090274436, 0.11858781621876088, -0.1455386642994585, -0.0660378249859522, 0.35804669987974747, -0.10903690794877934, -0.0809959644684568, 0.12011979565475926, -0.1016796958689211, -0.08610658464021981, 0.11869665430012075, 0.037802031517706135, 0.00018024328870303702, -0.1622229004278779, 0.14282348214306473, -0.06919466734468711, 0.18212026529804323, 0.051961192549876585, 0.058643689435539825, 0.3135847443940513, 0.24666761424900455, -0.011438196419145574, 0.08665547193959355, -0.05394080530668637, -0.11542364839767812, -0.2793688096501159, -0.12314814344669382, -0.1813237159971543, 0.06178177237002687, -0.06512577466249543, -0.132754420819269, 0.3489688697242827, 0.0812225471476488, 0.26564413738070114, 0.04133337653580715, 0.2074751378121701, 0.18550992447875836, 0.11408101428638805, 0.0673905389707987, 0.28431019968720095, 0.2218026902851169, 0.1270846063271165, -0.32048805584693607, 0.033905785460250845, 0.08190818573348224] |
711.134 | Spitzer imaging of the jet driving the NGC 2264 G outflow | We present new infrared imaging of the NGC 2264 G protostellar outflow
region, obtained with the InfraRed Array Camera (IRAC) on-board the Spitzer
Space Telescope. A jet in the red outflow lobe (eastern lobe) is clearly
detected in all four IRAC bands and, for the first time, is shown to
continuously extend over the entire length of the red outflow lobe traced by CO
observations. The redshifted jet also extends to a deeply embedded Class 0
source, VLA 2, confirming previous suggestions that it is the driving source of
the outflow (Gomez et al. 1994). The images show that the easternmost part of
the redshifted jet exhibits what appear to be multiple changes of direction. To
understand the redshifted jet morphology we explore several mechanisms that
could generate such apparent changes of direction. From this analysis, we
conclude that the redshifted jet structure and morphology visible in the IRAC
images can be largely, although not entirely, explained by a slowly precessing
jet (period ~8000 yr) that lies mostly on the plane of the sky. It appears that
the observed changes in the redshifted jet direction may be sufficient to
account for a significant fraction of the broadening of the outflow lobe
observed in the CO emission.
| astro-ph | we present new infrared imaging of the ngc 2264 g protostellar outflow region obtained with the infrared array camera irac onboard the spitzer space telescope a jet in the red outflow lobe eastern lobe is clearly detected in all four irac bands and for the first time is shown to continuously extend over the entire length of the red outflow lobe traced by co observations the redshifted jet also extends to a deeply embedded class 0 source vla 2 confirming previous suggestions that it is the driving source of the outflow gomez et al 1994 the images show that the easternmost part of the redshifted jet exhibits what appear to be multiple changes of direction to understand the redshifted jet morphology we explore several mechanisms that could generate such apparent changes of direction from this analysis we conclude that the redshifted jet structure and morphology visible in the irac images can be largely although not entirely explained by a slowly precessing jet period 8000 yr that lies mostly on the plane of the sky it appears that the observed changes in the redshifted jet direction may be sufficient to account for a significant fraction of the broadening of the outflow lobe observed in the co emission | [['we', 'present', 'new', 'infrared', 'imaging', 'of', 'the', 'ngc', '2264', 'g', 'protostellar', 'outflow', 'region', 'obtained', 'with', 'the', 'infrared', 'array', 'camera', 'irac', 'onboard', 'the', 'spitzer', 'space', 'telescope', 'a', 'jet', 'in', 'the', 'red', 'outflow', 'lobe', 'eastern', 'lobe', 'is', 'clearly', 'detected', 'in', 'all', 'four', 'irac', 'bands', 'and', 'for', 'the', 'first', 'time', 'is', 'shown', 'to', 'continuously', 'extend', 'over', 'the', 'entire', 'length', 'of', 'the', 'red', 'outflow', 'lobe', 'traced', 'by', 'co', 'observations', 'the', 'redshifted', 'jet', 'also', 'extends', 'to', 'a', 'deeply', 'embedded', 'class', '0', 'source', 'vla', '2', 'confirming', 'previous', 'suggestions', 'that', 'it', 'is', 'the', 'driving', 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711.1341 | Electrostatics in wind-blown sand | Wind-blown sand, or "saltation," is an important geological process, and the
primary source of atmospheric dust aerosols. Significant discrepancies exist
between classical saltation theory and measurements. We show here that these
discrepancies can be resolved by the inclusion of sand electrification in a
physically based saltation model. Indeed, we find that electric forces enhance
the concentration of saltating particles and cause them to travel closer to the
surface, in agreement with measurements. Our results thus indicate that sand
electrification plays an important role in saltation.
| cond-mat.other | windblown sand or saltation is an important geological process and the primary source of atmospheric dust aerosols significant discrepancies exist between classical saltation theory and measurements we show here that these discrepancies can be resolved by the inclusion of sand electrification in a physically based saltation model indeed we find that electric forces enhance the concentration of saltating particles and cause them to travel closer to the surface in agreement with measurements our results thus indicate that sand electrification plays an important role in saltation | [['windblown', 'sand', 'or', 'saltation', 'is', 'an', 'important', 'geological', 'process', 'and', 'the', 'primary', 'source', 'of', 'atmospheric', 'dust', 'aerosols', 'significant', 'discrepancies', 'exist', 'between', 'classical', 'saltation', 'theory', 'and', 'measurements', 'we', 'show', 'here', 'that', 'these', 'discrepancies', 'can', 'be', 'resolved', 'by', 'the', 'inclusion', 'of', 'sand', 'electrification', 'in', 'a', 'physically', 'based', 'saltation', 'model', 'indeed', 'we', 'find', 'that', 'electric', 'forces', 'enhance', 'the', 'concentration', 'of', 'saltating', 'particles', 'and', 'cause', 'them', 'to', 'travel', 'closer', 'to', 'the', 'surface', 'in', 'agreement', 'with', 'measurements', 'our', 'results', 'thus', 'indicate', 'that', 'sand', 'electrification', 'plays', 'an', 'important', 'role', 'in', 'saltation']] | [-0.05666002571473227, 0.21099459719330566, -0.10004272637340952, 0.09426447667452414, -0.00802421519149314, -0.09101944221183658, 0.01837736540610957, 0.3592039420543348, -0.23119189840029267, -0.35682943095179165, 0.06569098298547461, -0.29952344107715523, -0.17138615048161762, 0.22589700747185443, -0.07441054094473229, 0.019982158951461316, 0.08730136920862339, -0.09683715363635736, 0.045536852312986466, -0.18520478505422086, 0.25382595715277334, 0.13650081525830662, 0.2341440097647993, 0.15779322323882405, 0.0583831950364744, -0.05982723198283245, -0.05459336250582162, 0.03952213404152323, -0.16882014155023226, 0.08403556848711827, 0.24903093043933897, 0.05007136317298693, 0.1939384190913509, -0.5491242299404214, -0.3216229141744621, 0.08186336621532546, 0.12723706171793095, 0.09370824556578608, -0.07854249196346191, -0.19387501866748447, 0.0189717707607676, -0.13266520630842185, -0.14912801845656598, 0.005097957000629429, 0.04827332681811908, 0.01659896517282023, -0.25837945409995666, 0.10366182201268041, 0.09067095976103755, 0.09038028412204072, -0.12249949413954335, -0.10964742468341308, -0.0918652522350278, 0.16391584288931507, 0.10133782703367829, -0.0022777360918767313, 0.2427279845427941, -0.13984959886464127, -0.028441370694952853, 0.3910902707892306, -0.08629232440143823, -0.16456831960993654, 0.2167501177994863, -0.15032816763474222, -0.08941780132625032, 0.16608349056366611, 0.18456659244702142, 0.02804729306303403, -0.1252440035233603, -0.06587396817596848, -0.1060828261077404, 0.16389127532020212, 0.07514585109756274, -0.026891723632048954, 0.3079780271605534, 0.1838496559244745, 0.06562487507129416, 0.08239653140224297, -0.1437316144847393, -0.09206625389976099, -0.2902983473504291, -0.17819536460344407, -0.08355176477309535, 0.029398301334175116, -0.1126802503468592, -0.13595906348132036, 0.2559195072773625, 0.24746781563153492, 0.16583137006827575, -0.027399503510883626, 0.27812795184333533, 0.042517170489437005, 0.07170736679040333, 0.0964425318983986, 0.2819879130295971, 0.10861490263658412, 0.08547952237593777, -0.25882207851459765, 0.15578853484133587, 0.008736388593473855] |
711.1342 | Light-Front Quantization of the Polyakov D1 Brane Action With a Scalar
Dilaton Field | Light-front quantization of the conformally gauge-fixed Polyakov D1 brane
action with a scalar dilaton field is studied using the equal light-cone
world-sheet time framework.
| hep-th | lightfront quantization of the conformally gaugefixed polyakov d1 brane action with a scalar dilaton field is studied using the equal lightcone worldsheet time framework | [['lightfront', 'quantization', 'of', 'the', 'conformally', 'gaugefixed', 'polyakov', 'd1', 'brane', 'action', 'with', 'a', 'scalar', 'dilaton', 'field', 'is', 'studied', 'using', 'the', 'equal', 'lightcone', 'worldsheet', 'time', 'framework']] | [-0.18610337593903145, 0.2447584974579513, -0.13247966929338872, 0.12886808962502982, -0.15942154227135083, -0.24600838200422004, -0.13778378325514495, 0.3546512270113453, -0.011336364007244507, -0.10727811647423853, -0.06182670092190771, -0.2350695461112385, -0.14441066706785932, -0.06276685018868496, -0.03325224244811883, 0.09819199514458887, -0.06822507316246629, 0.16404241362276176, -0.14111518153610328, -0.32453436695504934, 0.38104279378118616, -0.022918973603130628, 0.3018597800595065, 0.0323492978932336, 0.17997429915703833, 0.024002224071106564, -0.004925899343409886, 0.02588381994670878, -0.052925982842377074, 0.036706433088208236, 0.1192440538337299, 0.02689648714537422, 0.09230237589993824, -0.4041018586140126, -0.2722303156430523, 0.054572675454740725, 0.2324741507958, 0.16336211758122468, 0.08695714819865923, -0.3701650503401955, -0.009272285077410439, -0.13854275065629432, -0.19940593477804214, -0.11260487003407131, -0.011352499418232279, -0.2791648970451206, -0.22261266670345017, 0.08475606190040708, -0.10736476525198668, 0.05496634775772691, -0.1074039830127731, -0.09853796800598502, -0.10498602455481887, 0.002320751295580218, 0.21139871634659357, 0.28936703931928304, 0.21343331434763968, -0.15434679039753973, -0.16119350706867408, 0.4085137258904676, -0.1812917480710894, -0.37788341923927266, -0.08319283959766229, -0.156548537624379, -0.09568888340921451, 0.0745347811607644, 0.04239029251039028, 0.23054501290122667, -0.2422313718125224, 0.3455169936642051, -0.021144619133944314, 0.10442526987753808, 0.20047710397435972, 0.058287918528852366, 0.3004704116222759, 0.059587799943983555, -0.04894853270767877, 0.14941275717380145, 0.016751986229792237, -0.2641717051155865, -0.5284290208170811, -0.05760318475222448, -0.16539071255829185, 0.18816727221322557, -0.28834354287634295, -0.1860140955929334, 0.38788741811489064, 0.064933713641949, 0.1301829019600215, 0.12410958413966, 0.26020611519925296, 0.16026461826792607, 0.10438904385470475, 0.12063914947793819, 0.21321551469251668, 0.24023858923465014, 0.13485253905218997, -0.3686719176087839, -0.3741210319761497, 0.3091083511632557] |
711.1343 | Random subgroups of Thompson's group $F$ | We consider random subgroups of Thompson's group $F$ with respect to two
natural stratifications of the set of all $k$ generator subgroups. We find that
the isomorphism classes of subgroups which occur with positive density are not
the same for the two stratifications.
We give the first known examples of {\em persistent} subgroups, whose
isomorphism classes occur with positive density within the set of $k$-generator
subgroups, for all sufficiently large $k$. Additionally, Thompson's group
provides the first example of a group without a generic isomorphism class of
subgroup. Elements of $F$ are represented uniquely by reduced pairs of finite
rooted binary trees.
We compute the asymptotic growth rate and a generating function for the
number of reduced pairs of trees, which we show is D-finite and not algebraic.
We then use the asymptotic growth to prove our density results.
| math.GR math.CO | we consider random subgroups of thompsons group f with respect to two natural stratifications of the set of all k generator subgroups we find that the isomorphism classes of subgroups which occur with positive density are not the same for the two stratifications we give the first known examples of em persistent subgroups whose isomorphism classes occur with positive density within the set of kgenerator subgroups for all sufficiently large k additionally thompsons group provides the first example of a group without a generic isomorphism class of subgroup elements of f are represented uniquely by reduced pairs of finite rooted binary trees we compute the asymptotic growth rate and a generating function for the number of reduced pairs of trees which we show is dfinite and not algebraic we then use the asymptotic growth to prove our density results | [['we', 'consider', 'random', 'subgroups', 'of', 'thompsons', 'group', 'f', 'with', 'respect', 'to', 'two', 'natural', 'stratifications', 'of', 'the', 'set', 'of', 'all', 'k', 'generator', 'subgroups', 'we', 'find', 'that', 'the', 'isomorphism', 'classes', 'of', 'subgroups', 'which', 'occur', 'with', 'positive', 'density', 'are', 'not', 'the', 'same', 'for', 'the', 'two', 'stratifications', 'we', 'give', 'the', 'first', 'known', 'examples', 'of', 'em', 'persistent', 'subgroups', 'whose', 'isomorphism', 'classes', 'occur', 'with', 'positive', 'density', 'within', 'the', 'set', 'of', 'kgenerator', 'subgroups', 'for', 'all', 'sufficiently', 'large', 'k', 'additionally', 'thompsons', 'group', 'provides', 'the', 'first', 'example', 'of', 'a', 'group', 'without', 'a', 'generic', 'isomorphism', 'class', 'of', 'subgroup', 'elements', 'of', 'f', 'are', 'represented', 'uniquely', 'by', 'reduced', 'pairs', 'of', 'finite', 'rooted', 'binary', 'trees', 'we', 'compute', 'the', 'asymptotic', 'growth', 'rate', 'and', 'a', 'generating', 'function', 'for', 'the', 'number', 'of', 'reduced', 'pairs', 'of', 'trees', 'which', 'we', 'show', 'is', 'dfinite', 'and', 'not', 'algebraic', 'we', 'then', 'use', 'the', 'asymptotic', 'growth', 'to', 'prove', 'our', 'density', 'results']] | [-0.18612648270649018, 0.13937083179827967, -0.05721725636034561, 0.05847869804480763, -0.07478394301058791, -0.06847203022083469, 0.05731143193778401, 0.35202118194253323, -0.33043164169590034, -0.2827295952685104, 0.08709599610866992, -0.2667338912502574, -0.12087573975378232, 0.1931747089093216, -0.0594282667705347, -0.002923143870136935, 0.041851099258918556, 0.11383684654887631, -0.08186285655020917, -0.29232904263403564, 0.385269017035825, -0.08253032613626059, 0.23051742899814526, -0.01979499592666896, 0.10421271324358719, -0.01561336537903483, -0.023387391056543846, 0.03864891567223926, -0.14426430591019648, 0.10676828868646952, 0.2823586921415312, 0.13122797195746047, 0.21468500286447917, -0.3575235556127678, -0.15288474465294896, 0.22850108124305687, 0.10080166952140134, 0.054297960076896516, -0.07085576169226292, -0.2285107402641849, 0.15668781478420274, -0.186071674165269, -0.13132178249748813, -0.072614286798421, 0.0807743982492323, 0.06578419401173032, -0.270053283740237, 0.01591420222556205, 0.08435478470147513, 0.09023839908002092, -0.032555173067443016, -0.1078906179993688, -0.04884736979775559, 0.13955664717116587, 0.013904849021266744, -0.008476641161447699, 0.08150115032285023, -0.08120023866565965, -0.09657419982145159, 0.38766020992033773, -0.0758752562775672, -0.17963308605144349, 0.1928031085018846, -0.19409507410198773, -0.18567700732981773, 0.12547131909707412, 0.11887674922083351, 0.16028760794362576, -0.06336528480240552, 0.13860470016249088, -0.12256158415224779, 0.10000053720495147, 0.07463202013285737, -0.022541705947771346, 0.12147688039196589, 0.07114561111498759, 0.08460545059119304, 0.1637492557836189, 0.027142310096285968, 0.02135837350121076, -0.35474475538827105, -0.1647819910406155, -0.13460219381946614, 0.07542301865697423, -0.12410619673666731, -0.234843491576612, 0.4269790518693894, 0.09381941692206822, 0.19926186329383644, 0.17133525148094397, 0.1670784381278556, 0.08393760373344371, 0.05448402607773276, 0.12433911130676488, 0.09374029916985858, 0.19235527412563885, -0.13044990952253985, -0.17427007305325284, 0.03893246496994075, 0.16024633965173588] |
711.1344 | Entanglement of subspaces in terms of entanglement of superpositions | We investigate upper and lower bounds on the entropy of entanglement of a
superposition of bipartite states as a function of the individual states in the
superposition. In particular, we extend the results in [G. Gour,
arxiv.org:0704.1521 (2007)] to superpositions of several states rather than
just two. We then investigate the entanglement in a subspace as a function of
its basis states: we find upper bounds for the largest entanglement in a
subspace and demonstrate that no such lower bound for the smallest entanglement
exists. Finally, we consider entanglement of superpositions using measures of
entanglement other than the entropy of entanglement.
| quant-ph | we investigate upper and lower bounds on the entropy of entanglement of a superposition of bipartite states as a function of the individual states in the superposition in particular we extend the results in g gour arxivorg07041521 2007 to superpositions of several states rather than just two we then investigate the entanglement in a subspace as a function of its basis states we find upper bounds for the largest entanglement in a subspace and demonstrate that no such lower bound for the smallest entanglement exists finally we consider entanglement of superpositions using measures of entanglement other than the entropy of entanglement | [['we', 'investigate', 'upper', 'and', 'lower', 'bounds', 'on', 'the', 'entropy', 'of', 'entanglement', 'of', 'a', 'superposition', 'of', 'bipartite', 'states', 'as', 'a', 'function', 'of', 'the', 'individual', 'states', 'in', 'the', 'superposition', 'in', 'particular', 'we', 'extend', 'the', 'results', 'in', 'g', 'gour', 'arxivorg07041521', '2007', 'to', 'superpositions', 'of', 'several', 'states', 'rather', 'than', 'just', 'two', 'we', 'then', 'investigate', 'the', 'entanglement', 'in', 'a', 'subspace', 'as', 'a', 'function', 'of', 'its', 'basis', 'states', 'we', 'find', 'upper', 'bounds', 'for', 'the', 'largest', 'entanglement', 'in', 'a', 'subspace', 'and', 'demonstrate', 'that', 'no', 'such', 'lower', 'bound', 'for', 'the', 'smallest', 'entanglement', 'exists', 'finally', 'we', 'consider', 'entanglement', 'of', 'superpositions', 'using', 'measures', 'of', 'entanglement', 'other', 'than', 'the', 'entropy', 'of', 'entanglement']] | [-0.14999153182841837, 0.18494312738534063, -0.09987233864143491, 0.10849788495339453, 0.06653629230335355, -0.10654615805484355, 0.09503953439649195, 0.30231466772034765, -0.2044233225658536, -0.25784850659780206, 0.09592464886954985, -0.31329837813973427, -0.11105953080579639, 0.214873968642205, -0.018887152129318564, 0.09006029241616488, 0.04061831572093069, 0.09999481424689292, -0.09779693761607632, -0.1971002383553423, 0.3594243592908606, 0.010073021242860705, 0.2788596942019649, 0.10559348348062486, 0.084349036780186, -0.022165004312992096, 0.029545229426585138, 0.0032256447151303293, -0.17158860540752358, 0.14116857475368305, 0.21595568667864426, 0.20398398939985782, 0.2717362142633647, -0.4064588870853186, -0.1895525333005935, 0.16888161450391637, 0.11870106904767454, 0.16780024358071388, 0.010919322905829176, -0.26550742499064656, 0.005010368875227869, -0.19227366116829217, -0.09511444014497102, -0.06099164620041847, 0.0565342409722507, -0.04657103130593896, -0.2419723655562848, 0.11485719302901998, 0.07978762901038863, 0.03438531881605741, -0.0421118214877788, -0.09771572991972789, -0.04369337312877178, 0.09710325192194431, -0.04767531884484924, -0.02695114665199071, 0.07171136087272316, -0.14328779458999633, -0.18396197949070484, 0.30374276008456946, -0.1226894185502897, -0.20931920793838799, 0.1707467772846576, -0.1748921993141994, -0.12210275799967349, 0.008098698798567056, 0.17084797500632704, 0.1521334733394906, -0.07222681722603738, 0.051699740084586665, -0.11154536345042289, 0.16017163378186525, 0.09011052519083024, 0.18965716623584739, 0.1422809446044266, 0.06075899044517428, 0.16594778679311276, 0.28496136296831537, -0.06088750867638737, -0.0853505252301693, -0.3180289160087705, -0.2268370874208631, -0.29812934341840447, 0.05504357823170722, -0.09817519915261073, -0.14525114871328695, 0.445638719573617, 0.1044346237485297, 0.23223169071599842, 0.07078721439582296, 0.23263432740583084, 0.11540412274422124, 0.025118603529408576, 0.13608734212815762, 0.2667559472471476, 0.14203367229085415, -0.04599371123593301, -0.224315677206032, 0.05244411864783615, 0.07092965205200016] |
711.1345 | FeynEdit - a tool for drawing Feynman diagrams | We describe the FeynEdit tool for drawing Feynman diagrams. Input and output
is done using the LaTeX macros of FeynArts, which also implies that diagrams
drawn by FeynArts can be edited with FeynEdit. The LaTeX code can be
conveniently transferred using copy-and-paste.
| hep-ph | we describe the feynedit tool for drawing feynman diagrams input and output is done using the latex macros of feynarts which also implies that diagrams drawn by feynarts can be edited with feynedit the latex code can be conveniently transferred using copyandpaste | [['we', 'describe', 'the', 'feynedit', 'tool', 'for', 'drawing', 'feynman', 'diagrams', 'input', 'and', 'output', 'is', 'done', 'using', 'the', 'latex', 'macros', 'of', 'feynarts', 'which', 'also', 'implies', 'that', 'diagrams', 'drawn', 'by', 'feynarts', 'can', 'be', 'edited', 'with', 'feynedit', 'the', 'latex', 'code', 'can', 'be', 'conveniently', 'transferred', 'using', 'copyandpaste']] | [0.011105522187426687, 0.17488095776643603, -0.15594846783205868, 0.10537590767780784, -0.10960101627279073, -0.15612043282017113, 0.02289505002554506, 0.38992345998995004, -0.26766452100127935, -0.3998966798186302, 0.05944295870140195, -0.2384307791129686, -0.08901095371693372, 0.25412945117568597, -0.06434982734499499, 0.025868674181401728, 0.14316848031594417, -0.029820353351533414, -0.013486175000434742, -0.24545620405115187, 0.2707712067174725, 0.016808638256043194, 0.18135936143808068, 0.00948968802113086, 0.04802951237652451, 0.06319298598682507, -0.08584049120545387, 0.07864547237986699, -0.08932761608830334, 0.14128791021648796, 0.3029032019316219, 0.2444046216085553, 0.0711806217674166, -0.43349979394115506, -0.15414595836773515, -0.0020300713833421467, 0.2034267313487362, 0.1479222616966581, -0.017053397127892823, -0.3323687061900273, 0.09332055946579203, -0.2452494098804891, -0.056008462596219034, -0.1325155776226893, -0.07618464567176489, 0.017966140247881412, -0.2510138929472305, -0.0729364164704748, -0.015001769555965438, 0.07235936473589391, 0.11096434670034797, -0.13634784270543604, -0.13695402205921708, 0.23077382594929077, -0.09400855790008791, 0.11934448144747875, 0.15278854938223957, -0.09752204227261245, -0.09779788292944432, 0.3879000717774034, -0.06947187692858278, -0.26579718543216585, 0.075994390132837, -0.0196001403441187, -0.0992888092296198, 0.12983667601365595, 0.12123881028965115, 0.08380324229365214, -0.22050661623943596, 0.12497395036480156, -0.00011782085057348013, 0.2216978748620022, 0.14275174131034873, -0.08082862052833661, 0.22347342840803322, 0.09510845861623238, -0.2017346220323816, 0.30640705837286075, 0.027432396234507904, -0.0348253177915467, -0.30381849748082457, -0.17169757827650756, -0.18497549332096241, -0.02903185102622956, -0.07287707305476943, -0.17175788022577762, 0.3381377850659192, 0.1647870110347867, 0.11738150699966354, 0.008413758923416026, 0.3062072367174551, 0.1306746035348624, 0.1556104921270162, 0.0892157963826321, 0.1023470401763916, 0.05462563279434107, 0.10214261787477881, -0.05935978264315054, 0.09971379949711263, 0.14189015943557023] |
711.1346 | Seifert Fibered Spaces: Notes for a course given in the Spring of 1993 | Notes for a one semester course. The notes contain a description of compact
three dimensional Seifert fibered spaces and a classification up to
homeomorphism of compact three dimensional Seifert fibered spaces with
non-empty boundary.
| math.GT math.AT | notes for a one semester course the notes contain a description of compact three dimensional seifert fibered spaces and a classification up to homeomorphism of compact three dimensional seifert fibered spaces with nonempty boundary | [['notes', 'for', 'a', 'one', 'semester', 'course', 'the', 'notes', 'contain', 'a', 'description', 'of', 'compact', 'three', 'dimensional', 'seifert', 'fibered', 'spaces', 'and', 'a', 'classification', 'up', 'to', 'homeomorphism', 'of', 'compact', 'three', 'dimensional', 'seifert', 'fibered', 'spaces', 'with', 'nonempty', 'boundary']] | [-0.19409107142949805, 0.10336354040705106, -0.09084488654180485, 0.0833277009865817, -0.12973051304545472, -0.2178860213744509, -0.03172102118129688, 0.3351786151966628, -0.17798589642488344, -0.25605752302662416, 0.17476571779972053, -0.30775130310041066, -0.1103884487905923, 0.23651577434365584, -0.2531387398074217, -0.052300592117449814, 0.15885754474712646, 0.05578823491711827, -0.1809923222343273, -0.40736553396153097, 0.5249514601686421, -0.16157881093814092, 0.19285556717830546, 0.05707040577031234, 0.19760454566943841, -0.08388056325287942, -0.057446493438499814, 0.026592981535941362, -0.19066838196971836, 0.19243918429128826, 0.4288019542582333, -0.03964377534301842, 0.20004625224015293, -0.38621723279356956, -0.17080820053268006, 0.11489848159801434, 0.02747820202699479, -0.08979687401477028, 0.00844901819329928, -0.300719082574634, -0.02533629062749884, -0.11778631231144947, -0.16056766076123014, -0.08883671892587752, 0.08907724933370072, -0.08022660493631573, -0.15309225706219234, -0.10371092216604773, 0.12223168561125503, 0.1590256728231907, -0.09090844182954992, -0.05688476737807779, -0.0828485799515072, 0.1453373796060024, -0.059306404854664034, 0.13989745281801066, 0.06306559148737613, -0.012965952681791832, -0.16596125777098625, 0.3276406390702023, -0.0682855212567922, -0.2660504483124789, 0.20413190356510527, -0.15689526265487075, -0.2494331115089795, 0.25938576142139297, 0.17418395957964308, 0.14912206915152423, -0.04958248415085323, 0.08169279180241146, -0.10976464067917892, 0.14546554568497574, 0.166755854152143, -0.04081292466863113, 0.22537516178015402, 0.19079761092058, 0.056920385125147945, 0.10872025834396482, 0.008246179348241319, -0.02042285882635042, -0.41817536468015, -0.22686012620654175, -0.10186424791155492, 0.20336830922785928, -0.08162223065557876, -0.23463187739253044, 0.4191503978389151, -0.06454547723714153, 0.1224544953335734, 0.09577687903690864, 0.22029481970650308, -0.10515928554677349, 0.0291267597280881, 0.11459604730172192, 0.05193965060307699, 0.17323709334082463, -0.07199130201821818, 0.05651354959563298, -0.21025384135325165, 0.3261716087033753] |
711.1347 | A universal Dirac operator and noncommutative spin bundles over fuzzy
complex projective spaces | We present a universal Dirac operator for noncommutative spin and spin^c
bundles over fuzzy complex projective spaces. We give an explicit construction
of these bundles, which are described in terms of finite dimensional matrices,
calculate the spectrum and explicitly exhibit the Dirac eigenspinors. To our
knowledge the spin^c spectrum for CP^n with n>=3 is new.
| hep-th | we present a universal dirac operator for noncommutative spin and spinc bundles over fuzzy complex projective spaces we give an explicit construction of these bundles which are described in terms of finite dimensional matrices calculate the spectrum and explicitly exhibit the dirac eigenspinors to our knowledge the spinc spectrum for cpn with n3 is new | [['we', 'present', 'a', 'universal', 'dirac', 'operator', 'for', 'noncommutative', 'spin', 'and', 'spinc', 'bundles', 'over', 'fuzzy', 'complex', 'projective', 'spaces', 'we', 'give', 'an', 'explicit', 'construction', 'of', 'these', 'bundles', 'which', 'are', 'described', 'in', 'terms', 'of', 'finite', 'dimensional', 'matrices', 'calculate', 'the', 'spectrum', 'and', 'explicitly', 'exhibit', 'the', 'dirac', 'eigenspinors', 'to', 'our', 'knowledge', 'the', 'spinc', 'spectrum', 'for', 'cpn', 'with', 'n3', 'is', 'new']] | [-0.1753931052474813, 0.11415875352606897, -0.01372130558910695, 0.10270610359624367, -0.10718678591603582, -0.14776648449796168, -0.057755009444769134, 0.38512965589761733, -0.22534375461665065, -0.2278889709490944, 0.06454520375171507, -0.2373646629381586, -0.1990740829232064, 0.16242994115772572, -0.08294103662060066, 0.005777757953513752, -0.016425537762486123, 0.10149009959264235, -0.18081184613772414, -0.2465705812316049, 0.4892075033350424, -0.005419113554737785, 0.22578365849331022, 0.08807827660983258, 0.15217277367853305, 0.03785837386015125, -0.006487737739966674, -0.06426629113372076, -0.13412925391034647, 0.1542156128530306, 0.31043109595775603, 0.03599581781520762, 0.06659155602312901, -0.3914922658354044, -0.1850118754637978, 0.17715074831450528, 0.13954386621374976, 0.012792291253043169, -0.016229646614837376, -0.3012926171618429, 0.07095676675777543, -0.18374521576545455, -0.18701657041568648, -0.21100425444204698, 0.008932459218935533, -0.0617180828682401, -0.22896402871066873, -0.005271017610688101, 0.08376658508046107, 0.1016974124210802, -0.09811573405326768, -0.10497848073507406, -0.08070996359667995, 0.07317274733531204, -0.04016783513890749, -0.03718954308635809, 0.056411265844309874, -0.028578899717831518, -0.18820437638364224, 0.3278801428662105, -0.052968123368918894, -0.31150458604097364, 0.06522611834278161, -0.1396864499558102, -0.1401893375695429, 0.14688659178262406, 0.11170673478310081, 0.1727586994794282, -0.028747199916026808, 0.18928299282733033, -0.12255459771576253, 0.07428356666456569, 0.05924120012840087, 0.045798809284513645, 0.18349674493074417, 0.09093621315603906, 0.0863129458728839, 0.11239505027505485, -0.004901973530650139, -0.1397020922920836, -0.36063023436475883, -0.25396754510160957, -0.14107277825136078, 0.18361889899454334, -0.1492624181571459, -0.24221359184011818, 0.46732180430130527, 0.04736229550749572, 0.2238920913331888, 0.10807161752176894, 0.21580420676618814, 0.15047224784820257, 0.04996453554115512, 0.04503045469861139, 0.16232774990864776, 0.21036966791884465, 0.06541439964308995, -0.14145800401033326, -0.13586651896211235, 0.17680231904272328] |
711.1348 | Regular cell complexes in total positivity | This paper proves a conjecture of Fomin and Shapiro that their combinatorial
model for any Bruhat interval is a regular CW complex which is homeomorphic to
a ball. The model consists of a stratified space which may be regarded as the
link of an open cell intersected with a larger closed cell, all within the
totally nonnegative part of the unipotent radical of an algebraic group. A
parametrization due to Lusztig turns out to have all the requisite features to
provide the attaching maps. A key ingredient is a new, readily verifiable
criterion for which finite CW complexes are regular involving an interplay of
topology with combinatorics.
| math.CO math.GT | this paper proves a conjecture of fomin and shapiro that their combinatorial model for any bruhat interval is a regular cw complex which is homeomorphic to a ball the model consists of a stratified space which may be regarded as the link of an open cell intersected with a larger closed cell all within the totally nonnegative part of the unipotent radical of an algebraic group a parametrization due to lusztig turns out to have all the requisite features to provide the attaching maps a key ingredient is a new readily verifiable criterion for which finite cw complexes are regular involving an interplay of topology with combinatorics | [['this', 'paper', 'proves', 'a', 'conjecture', 'of', 'fomin', 'and', 'shapiro', 'that', 'their', 'combinatorial', 'model', 'for', 'any', 'bruhat', 'interval', 'is', 'a', 'regular', 'cw', 'complex', 'which', 'is', 'homeomorphic', 'to', 'a', 'ball', 'the', 'model', 'consists', 'of', 'a', 'stratified', 'space', 'which', 'may', 'be', 'regarded', 'as', 'the', 'link', 'of', 'an', 'open', 'cell', 'intersected', 'with', 'a', 'larger', 'closed', 'cell', 'all', 'within', 'the', 'totally', 'nonnegative', 'part', 'of', 'the', 'unipotent', 'radical', 'of', 'an', 'algebraic', 'group', 'a', 'parametrization', 'due', 'to', 'lusztig', 'turns', 'out', 'to', 'have', 'all', 'the', 'requisite', 'features', 'to', 'provide', 'the', 'attaching', 'maps', 'a', 'key', 'ingredient', 'is', 'a', 'new', 'readily', 'verifiable', 'criterion', 'for', 'which', 'finite', 'cw', 'complexes', 'are', 'regular', 'involving', 'an', 'interplay', 'of', 'topology', 'with', 'combinatorics']] | [-0.16867874866290558, 0.08939188674337635, -0.10567355874891037, 0.03588723885026003, -0.10894983587351358, -0.1595117819330124, 0.03489446850759021, 0.29995184510110695, -0.33542619233028353, -0.1994301555068972, 0.1063935825444549, -0.1946803783697607, -0.13852773278203107, 0.22570681454021937, -0.13015764283025028, -0.044686555308637986, 0.03838609056721363, 0.06327670339791966, -0.022104653415515492, -0.2564186549410398, 0.3475245031676142, 0.015565215009395207, 0.21111927179306328, 0.07797669305979649, 0.09861168567362953, -0.028261646510876506, -0.026316331455779968, 0.020337053072784602, -0.11180655787315134, 0.15432936024295044, 0.2795660947971742, 0.08492026861243507, 0.24395371946532315, -0.39557174065750894, -0.18862254355564087, 0.15946353030190846, 0.14259151321026348, 0.06335949406101778, -0.02770826256416181, -0.2582668967449289, 0.1277066154022501, -0.14705464241277671, -0.17866191700553505, -0.044086686500879095, 0.05633674785668883, 0.006795940790151324, -0.27952308261714803, -0.021848500170962553, 0.09778286107580796, 0.07990773644616009, -0.032973483039466574, -0.06074546323545173, -0.04192892000270642, 0.1264560151612386, -0.0699105443450335, 0.08627126022094042, 0.06577924965819884, -0.05444328466682721, -0.12937145775932574, 0.41564895939430063, 0.003417210840559173, -0.2478006698678587, 0.16653453737331955, -0.13360220592503794, -0.1386742425046722, 0.16940511328768787, 0.08127624423147362, 0.1251486929908186, -0.118531901119538, 0.129018110823143, -0.15121947536157948, 0.100998970302405, 0.09821724387486334, -0.019615976799227226, 0.19930336582169772, 0.1411149034572539, 0.09718137679003597, 0.15028028662651602, -0.0022898349501888886, -0.08711970840590554, -0.32869492497765157, -0.1899039488085589, -0.14030883097194274, 0.11208161268226594, -0.09080723035092157, -0.238472443239363, 0.4110131431501533, 0.035830359308649654, 0.22711353820409172, 0.05389056551796776, 0.23993933702183662, 0.06887769430906242, 0.0792544459049355, 0.009536100229439891, 0.11508783094027888, 0.21818170141184998, -0.012866987106956053, -0.13198473596962812, 0.04713221400036154, 0.14801604913930608] |
711.1349 | Enumeration of number-conserving cellular automata rules with two inputs | We show that there exists a one-to-one correspondence between the set of
number-conserving cellular automata (CA) with $q$ inputs and the set of
balanced sequences with $q$ terms. This allows to enumerate number-conserving
CA. We also show that number-conserving rules are becoming increasingly rare as
the number of states increases.
| nlin.CG | we show that there exists a onetoone correspondence between the set of numberconserving cellular automata ca with q inputs and the set of balanced sequences with q terms this allows to enumerate numberconserving ca we also show that numberconserving rules are becoming increasingly rare as the number of states increases | [['we', 'show', 'that', 'there', 'exists', 'a', 'onetoone', 'correspondence', 'between', 'the', 'set', 'of', 'numberconserving', 'cellular', 'automata', 'ca', 'with', 'q', 'inputs', 'and', 'the', 'set', 'of', 'balanced', 'sequences', 'with', 'q', 'terms', 'this', 'allows', 'to', 'enumerate', 'numberconserving', 'ca', 'we', 'also', 'show', 'that', 'numberconserving', 'rules', 'are', 'becoming', 'increasingly', 'rare', 'as', 'the', 'number', 'of', 'states', 'increases']] | [-0.1793058873154223, 0.1889509480819106, 0.02991625268012285, 0.07776775764999912, 0.001354585662484169, -0.17666715558618307, 0.13987941562198103, 0.3961627259105444, -0.27310225650668146, -0.22659805227071048, -0.008783971890807152, -0.31100487716990755, -0.20840302584692835, 0.17289593614637852, -0.02467641552910209, 0.020817408096045254, 0.07449232568498701, 0.06739012569189072, -0.04107967828633264, -0.21608147326856852, 0.3346077883988619, -0.03329431474208832, 0.2855512321641436, 0.00446436956524849, 0.06964445853605866, 0.00020923000760376454, -0.01307336639612913, 0.07020644932985305, -0.09817412971664453, 0.10910310645936988, 0.31631271973252295, 0.20710604060441257, 0.24538767475634812, -0.4136417897045612, -0.1473238450102508, 0.2285010524094105, 0.18512234992347656, 0.11830765210092067, -0.03592931069433689, -0.1941993874311447, 0.13448919363319875, -0.192993840277195, -0.07361110412515699, -0.14767964467406272, 0.1089393524453044, 0.05556706545874476, -0.3085002728551626, -0.03969114625419024, 0.05265941109508276, 0.0910576456040144, -0.017614930394338445, -0.10274881653487683, -0.07776005185209214, 0.11221872593741863, -0.021865266375243664, 0.0051916487608104946, 0.03730932896956801, -0.09104416998568922, -0.13132599998265504, 0.3703310097940266, -0.015893316480796785, -0.1979200877994299, 0.2384784822165966, -0.11060688322409988, -0.12401005892839749, 0.10608951536938548, 0.05887374766170979, 0.07838946655392647, -0.06365142544731497, 0.08696347581106238, -0.13344746738672256, 0.1992937048524618, 0.06382944350130856, 0.08173946795985103, 0.18652335360646247, 0.15445018392056226, 0.06223063305020332, 0.1640990226715803, -0.02108990916982293, -0.11352280359715224, -0.31835317976772787, -0.14813197616487742, -0.1291617806442082, 0.03438054717611522, -0.05097188505314989, -0.2183968847244978, 0.2987845154106617, 0.1431387803470716, 0.2271225962979952, 0.1466963880881667, 0.18928099429933354, 0.12735413076065016, 0.060216105200815946, 0.06937792376615107, 0.11978265354409814, 0.14732681976631284, 0.04631441749632358, -0.23518146254122257, -0.011672172723338007, 0.11621043648570777] |
711.135 | Banach spaces without minimal subspaces | We prove three new dichotomies for Banach spaces \`a la W.T. Gowers'
dichotomies. The three dichotomies characterise respectively the spaces having
no minimal subspaces, having no subsequentially minimal basic sequences, and
having no subspaces crudely finitely representable in all of their subspaces.
We subsequently use these results to make progress on Gowers' program of
classifying Banach spaces by finding characteristic spaces present in every
space. Also, the results are used to embed any partial order of size $\aleph_1$
into the subspaces of any space without a minimal subspace ordered by
isomorphic embeddability.
| math.FA math.LO | we prove three new dichotomies for banach spaces a la wt gowers dichotomies the three dichotomies characterise respectively the spaces having no minimal subspaces having no subsequentially minimal basic sequences and having no subspaces crudely finitely representable in all of their subspaces we subsequently use these results to make progress on gowers program of classifying banach spaces by finding characteristic spaces present in every space also the results are used to embed any partial order of size aleph_1 into the subspaces of any space without a minimal subspace ordered by isomorphic embeddability | [['we', 'prove', 'three', 'new', 'dichotomies', 'for', 'banach', 'spaces', 'a', 'la', 'wt', 'gowers', 'dichotomies', 'the', 'three', 'dichotomies', 'characterise', 'respectively', 'the', 'spaces', 'having', 'no', 'minimal', 'subspaces', 'having', 'no', 'subsequentially', 'minimal', 'basic', 'sequences', 'and', 'having', 'no', 'subspaces', 'crudely', 'finitely', 'representable', 'in', 'all', 'of', 'their', 'subspaces', 'we', 'subsequently', 'use', 'these', 'results', 'to', 'make', 'progress', 'on', 'gowers', 'program', 'of', 'classifying', 'banach', 'spaces', 'by', 'finding', 'characteristic', 'spaces', 'present', 'in', 'every', 'space', 'also', 'the', 'results', 'are', 'used', 'to', 'embed', 'any', 'partial', 'order', 'of', 'size', 'aleph_1', 'into', 'the', 'subspaces', 'of', 'any', 'space', 'without', 'a', 'minimal', 'subspace', 'ordered', 'by', 'isomorphic', 'embeddability']] | [-0.11032259196002522, 0.138257596009087, -0.037987313805269485, 0.14537577744909946, -0.06391931589915538, -0.09265186982330582, -0.0035552482409200266, 0.39690621747412597, -0.3322493537005199, -0.18255372657238142, 0.16340560820105526, -0.2647375253854198, -0.08669730971324378, 0.16941394026735393, -0.1559232518522312, 0.028684317043213094, 0.060706741338198415, 0.023033571399181434, -0.14530880779594832, -0.36096694662853185, 0.4240250986843856, -0.10252660021195999, 0.17864602653350195, -0.039302648151414876, 0.1313701505929677, 0.02903667120667903, -0.04263768408133689, 0.0380419022359369, -0.18705401941121597, 0.1531530695501715, 0.3046362169046441, 0.16716395812767113, 0.3186453341964491, -0.37570959922152763, -0.1673683956184465, 0.275625971864666, 0.11144185709544337, 0.009999935718635401, -0.02439627468803614, -0.2855380963377209, 0.10386586258106906, -0.0863475545718203, -0.0876412475987783, -0.15500880090479294, 0.03924373458088983, -0.01567128535522067, -0.23896967630792895, -0.05999211328510327, 0.15766678263595246, 0.09255650634725537, -0.13005537441906356, -0.12687924901104491, -0.08075630867793022, 0.09871027941066447, -0.037701941763415285, 0.056278432567563395, 0.03387421610418444, 0.03359372897134365, -0.17349567639378263, 0.3492224684476083, -0.029577141907319183, -0.2547771634012663, 0.18092699811044757, -0.18810089902304436, -0.19117924159534438, 0.15417915968345883, 0.08216559448350302, 0.07988950685071557, -0.05976688423517929, 0.21086989619969088, -0.14588990324219872, 0.15577891547961728, 0.13015371329738232, 0.12787159930271824, 0.08616689450876869, 0.10993752686519419, 0.1460197969623234, 0.1315720159732534, 0.06509732332272941, 0.010226127243621031, -0.322890904519464, -0.17733696903324808, -0.11928568966813265, 0.03609891263160692, -0.15492242898519337, -0.19067854835125414, 0.3507887502707055, 0.06493316950914248, 0.1902172389521223, 0.1588456014616658, 0.19581848961989518, -0.033620672629457775, 0.061139075190547613, 0.09355316719080767, 0.13397190047164811, 0.18225716267024045, -0.024366522744378966, -0.08216065613289728, 0.022320266721932137, 0.22197184719793175] |
711.1351 | The generic isometry and measure preserving homeomorphism are conjugate
to their powers | It is known that there is a comeagre set of mutually conjugate measure
preserving homeomorphisms of Cantor space equipped with the coinflipping
probability measure, i.e., Haar measure. We show that the generic measure
preserving homeomorphism is moreover conjugate to all of its powers. It follows
that the generic measure preserving homeomorphism extends to an action of
$(\mathbb Q,+)$ by measure preserving homeomorphisms, and, in fact, to an
action of the locally compact ring $\mathfrak A$ of finite ad\`eles.
Similarly, S. Solecki has proved that there is a comeagre set of mutually
conjugate isometries of the rational Urysohn metric space. We prove that these
are all conjugate with their powers and therefore also embed into $\mathbb
Q$-actions. In fact, we extend these actions to actions of $\mathfrak A$ as in
the case of measure preserving homeomorphisms.
We also consider a notion of topological similarity in Polish groups and use
this to give simplified proofs of the meagreness of conjugacy classes in the
automorphism group of the standard probability space and in the isometry group
of the Urysohn metric space.
| math.LO math.DS | it is known that there is a comeagre set of mutually conjugate measure preserving homeomorphisms of cantor space equipped with the coinflipping probability measure ie haar measure we show that the generic measure preserving homeomorphism is moreover conjugate to all of its powers it follows that the generic measure preserving homeomorphism extends to an action of mathbb q by measure preserving homeomorphisms and in fact to an action of the locally compact ring mathfrak a of finite adeles similarly s solecki has proved that there is a comeagre set of mutually conjugate isometries of the rational urysohn metric space we prove that these are all conjugate with their powers and therefore also embed into mathbb qactions in fact we extend these actions to actions of mathfrak a as in the case of measure preserving homeomorphisms we also consider a notion of topological similarity in polish groups and use this to give simplified proofs of the meagreness of conjugacy classes in the automorphism group of the standard probability space and in the isometry group of the urysohn metric space | [['it', 'is', 'known', 'that', 'there', 'is', 'a', 'comeagre', 'set', 'of', 'mutually', 'conjugate', 'measure', 'preserving', 'homeomorphisms', 'of', 'cantor', 'space', 'equipped', 'with', 'the', 'coinflipping', 'probability', 'measure', 'ie', 'haar', 'measure', 'we', 'show', 'that', 'the', 'generic', 'measure', 'preserving', 'homeomorphism', 'is', 'moreover', 'conjugate', 'to', 'all', 'of', 'its', 'powers', 'it', 'follows', 'that', 'the', 'generic', 'measure', 'preserving', 'homeomorphism', 'extends', 'to', 'an', 'action', 'of', 'mathbb', 'q', 'by', 'measure', 'preserving', 'homeomorphisms', 'and', 'in', 'fact', 'to', 'an', 'action', 'of', 'the', 'locally', 'compact', 'ring', 'mathfrak', 'a', 'of', 'finite', 'adeles', 'similarly', 's', 'solecki', 'has', 'proved', 'that', 'there', 'is', 'a', 'comeagre', 'set', 'of', 'mutually', 'conjugate', 'isometries', 'of', 'the', 'rational', 'urysohn', 'metric', 'space', 'we', 'prove', 'that', 'these', 'are', 'all', 'conjugate', 'with', 'their', 'powers', 'and', 'therefore', 'also', 'embed', 'into', 'mathbb', 'qactions', 'in', 'fact', 'we', 'extend', 'these', 'actions', 'to', 'actions', 'of', 'mathfrak', 'a', 'as', 'in', 'the', 'case', 'of', 'measure', 'preserving', 'homeomorphisms', 'we', 'also', 'consider', 'a', 'notion', 'of', 'topological', 'similarity', 'in', 'polish', 'groups', 'and', 'use', 'this', 'to', 'give', 'simplified', 'proofs', 'of', 'the', 'meagreness', 'of', 'conjugacy', 'classes', 'in', 'the', 'automorphism', 'group', 'of', 'the', 'standard', 'probability', 'space', 'and', 'in', 'the', 'isometry', 'group', 'of', 'the', 'urysohn', 'metric', 'space']] | [-0.17731293313442043, 0.11217953962428014, -0.08602925787933847, 0.038468570311785945, -0.08180128405166959, -0.10817693398778581, 0.041133634566160086, 0.3904084567700259, -0.3268118556483056, -0.16732787748333067, 0.09153118812008126, -0.32564166344871576, -0.1232153426165248, 0.1712368594307918, -0.18479798961660973, 0.017310866307856155, -0.004544996087629856, 0.12198361811037599, -0.11788998498046897, -0.24121257517915431, 0.41916186443466524, -0.05900941429056481, 0.24825076014464934, 0.009673586385112933, 0.161919460175506, -0.02948427547446706, -0.05368888041068038, 0.023319871685420036, -0.13265293207657372, 0.10187339411244135, 0.2496137805494734, 0.15525872272072858, 0.22364227249371735, -0.30901466514280235, -0.17216244469058106, 0.2464411082599492, 0.099070016305301, -0.053290020920526746, -0.04899702915281523, -0.3272073812642537, 0.1280647247384133, -0.1580802244610492, -0.128827309577239, -0.13464075957017485, 0.09096130215171301, -0.019873821886986578, -0.2343563151754841, -0.053167155195379484, 0.14842984898396852, 0.08774287148976741, -0.05235923360669403, 0.007772347535303032, -0.07844334275234194, 0.13303481840094636, 0.023501045236612714, 0.11775594133492136, 0.10592396909421288, 0.007221842064278793, -0.10053546021729497, 0.41997380139814183, -0.08253571541387249, -0.29570771219335834, 0.17885102323171767, -0.22076476688380353, -0.17469081217793495, 0.08183472578424368, 0.10461368089454481, 0.14023970044218004, -0.06233800057088956, 0.20425619498630773, -0.14066200274233284, 0.11355481282821116, 0.05479207281711173, 0.05692653140233068, 0.0872312092132316, 0.08106566735924306, 0.19141315713022777, 0.1442891465875701, 0.05692173085249537, -0.02207138310239481, -0.3350684585430744, -0.20914566155459563, -0.13894124333984853, 0.1108640502035004, -0.10898066942800969, -0.19626191453293854, 0.37499619265806605, 0.08862443413553675, 0.18081110499174843, 0.13813869345044208, 0.21930723258463497, 0.0525592305449126, 0.05610556438610233, 0.0839088856591843, 0.137768530133392, 0.1753085595145504, -0.12050277626522901, -0.15325942006364296, -0.022060099833073433, 0.1886603118380828] |
711.1352 | Axion constraints in non-standard thermal histories | It is usually assumed that dark matter is produced during the radiation
dominated era. There is, however, no direct evidence for radiation domination
prior to big-bang nucleosynthesis. Two non-standard thermal histories are
considered. In one, the low-temperature-reheating scenario, radiation
domination begins as late as 1 MeV, and is preceded by significant entropy
generation. Thermal axion relic abundances are then suppressed, and
cosmological limits to axions are loosened. For reheating temperatures less
than 35 MeV, the large-scale structure limit to the axion mass is lifted. The
remaining constraint from the total density of matter is significantly relaxed.
Constraints are also relaxed for higher reheating temperatures. In a kination
scenario, a more modest change to cosmological axion constraints is obtained.
Future possible constraints to axions and low-temperature reheating from the
helium abundance and next-generation large-scale-structure surveys are
discussed.
| astro-ph hep-ph | it is usually assumed that dark matter is produced during the radiation dominated era there is however no direct evidence for radiation domination prior to bigbang nucleosynthesis two nonstandard thermal histories are considered in one the lowtemperaturereheating scenario radiation domination begins as late as 1 mev and is preceded by significant entropy generation thermal axion relic abundances are then suppressed and cosmological limits to axions are loosened for reheating temperatures less than 35 mev the largescale structure limit to the axion mass is lifted the remaining constraint from the total density of matter is significantly relaxed constraints are also relaxed for higher reheating temperatures in a kination scenario a more modest change to cosmological axion constraints is obtained future possible constraints to axions and lowtemperature reheating from the helium abundance and nextgeneration largescalestructure surveys are discussed | [['it', 'is', 'usually', 'assumed', 'that', 'dark', 'matter', 'is', 'produced', 'during', 'the', 'radiation', 'dominated', 'era', 'there', 'is', 'however', 'no', 'direct', 'evidence', 'for', 'radiation', 'domination', 'prior', 'to', 'bigbang', 'nucleosynthesis', 'two', 'nonstandard', 'thermal', 'histories', 'are', 'considered', 'in', 'one', 'the', 'lowtemperaturereheating', 'scenario', 'radiation', 'domination', 'begins', 'as', 'late', 'as', '1', 'mev', 'and', 'is', 'preceded', 'by', 'significant', 'entropy', 'generation', 'thermal', 'axion', 'relic', 'abundances', 'are', 'then', 'suppressed', 'and', 'cosmological', 'limits', 'to', 'axions', 'are', 'loosened', 'for', 'reheating', 'temperatures', 'less', 'than', '35', 'mev', 'the', 'largescale', 'structure', 'limit', 'to', 'the', 'axion', 'mass', 'is', 'lifted', 'the', 'remaining', 'constraint', 'from', 'the', 'total', 'density', 'of', 'matter', 'is', 'significantly', 'relaxed', 'constraints', 'are', 'also', 'relaxed', 'for', 'higher', 'reheating', 'temperatures', 'in', 'a', 'kination', 'scenario', 'a', 'more', 'modest', 'change', 'to', 'cosmological', 'axion', 'constraints', 'is', 'obtained', 'future', 'possible', 'constraints', 'to', 'axions', 'and', 'lowtemperature', 'reheating', 'from', 'the', 'helium', 'abundance', 'and', 'nextgeneration', 'largescalestructure', 'surveys', 'are', 'discussed']] | [-0.1226235323059545, 0.2961313730105758, -0.07961635901420205, 0.1736315154875801, -0.14174886533119543, -0.11286986201173729, 0.018437374610867766, 0.3317911307568903, -0.21975411017666813, -0.38115036127123014, 0.09175707019037671, -0.2760282558160489, 0.038155557763659295, 0.20464305450311965, 0.0142019327695447, -0.01797030757578021, 0.04257040618039254, 0.010492899333540764, -0.03069271542071537, -0.2878560471572672, 0.2807085458646287, 0.15306213361004162, 0.17814725460312156, 0.04904649244207475, 0.006549028586596251, -0.14144540222154722, -0.044292863627412804, -0.03429464050741107, -0.17037222218463688, -0.016423585800523006, 0.2067064291625111, 0.16052796712007236, 0.16005516068802939, -0.44367474744579305, -0.2688791404305785, 0.21284886095672845, 0.1264530187645168, 0.10936875131533101, -0.09614535147136646, -0.23227108295110088, 0.0681107431283669, -0.18915992894520361, -0.052498974845986125, 0.005571127303496555, 0.010625379601562466, -0.1068572704895848, -0.27502409908101305, 0.15914288342356922, -0.042944396343685826, -0.09408531436627662, -0.06925772661343217, -0.1607590146017847, -0.062476616773616385, -0.055362577605302686, 0.11847287237092301, 0.010241189824969129, 0.23006896063366353, -0.18784129911067862, -0.016258191927853556, 0.43741205720299925, -0.1400151607741093, -0.01185821032634488, 0.14879127782941967, -0.12609823333720366, -0.1944009691235368, 0.18779857605027414, 0.06429280614549363, 0.09956416996126925, -0.14277274550706218, 0.11463504355159347, 0.07469718012596584, 0.19127285254567308, 0.1179604694833634, 0.03756867324916163, 0.360522252228111, 0.1886147951586517, 0.07673538187432483, 0.05494782519699247, -0.04182354166275925, -0.07940196852691264, -0.3135390618471084, -0.07097374002419032, -0.14099847041717212, 0.05253949992410425, -0.12095825513328977, -0.09477880165429303, 0.2660915255891504, 0.14177031588861375, 0.16611718954690904, 0.007600741454020695, 0.35404799677155635, 0.1177920390351641, 0.019860687394867894, 0.056316389160713666, 0.3455239374466516, 0.17774566905535283, 0.13681499852833373, -0.19739319986633577, 0.03693760680379691, -0.031079079721260953] |
711.1353 | How to use the SEDs produced by synthesis models (inside and outside the
VO)? | In this contribution we investigate how to describe the results and usage of
evolutionary synthesis models. In particular, we look for an explicit and
quantitative description of the parameter space of synthesis models and the
evaluation of their associated uncertainties and dispersion. First, we need to
understand what synthesis models actually compute: we show that a synthetic
stellar population with fixed physical parameters (age, metallicity, star
formation history, initial mass function and size of the system) can only be
described in terms of probability distributions (i.e. there is an intrinsic
dispersion in any model). Second, we need to identify and characterize the
coverage in the parameter space of the models (i.e. the combinations of input
parameters that yield meaningful models) and the different sources of
systematic errors. Third, we need a way to describe quantitatively the
intrinsic dispersion, the systematic error and the parameter space coverage of
the models.
Up to now, the parameter space coverage and uncertainties have been described
qualitatively in the models' reference papers, with potential
misinterpretations by models' users. We show how Virtual Observatory
developments enable a correct use of synthesis models to obtain accurate (and
not simply precise) results.
| astro-ph | in this contribution we investigate how to describe the results and usage of evolutionary synthesis models in particular we look for an explicit and quantitative description of the parameter space of synthesis models and the evaluation of their associated uncertainties and dispersion first we need to understand what synthesis models actually compute we show that a synthetic stellar population with fixed physical parameters age metallicity star formation history initial mass function and size of the system can only be described in terms of probability distributions ie there is an intrinsic dispersion in any model second we need to identify and characterize the coverage in the parameter space of the models ie the combinations of input parameters that yield meaningful models and the different sources of systematic errors third we need a way to describe quantitatively the intrinsic dispersion the systematic error and the parameter space coverage of the models up to now the parameter space coverage and uncertainties have been described qualitatively in the models reference papers with potential misinterpretations by models users we show how virtual observatory developments enable a correct use of synthesis models to obtain accurate and not simply precise results | [['in', 'this', 'contribution', 'we', 'investigate', 'how', 'to', 'describe', 'the', 'results', 'and', 'usage', 'of', 'evolutionary', 'synthesis', 'models', 'in', 'particular', 'we', 'look', 'for', 'an', 'explicit', 'and', 'quantitative', 'description', 'of', 'the', 'parameter', 'space', 'of', 'synthesis', 'models', 'and', 'the', 'evaluation', 'of', 'their', 'associated', 'uncertainties', 'and', 'dispersion', 'first', 'we', 'need', 'to', 'understand', 'what', 'synthesis', 'models', 'actually', 'compute', 'we', 'show', 'that', 'a', 'synthetic', 'stellar', 'population', 'with', 'fixed', 'physical', 'parameters', 'age', 'metallicity', 'star', 'formation', 'history', 'initial', 'mass', 'function', 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711.1354 | A Population of Faint Extended Line Emitters and the Host Galaxies of
Optically Thick QSO Absorption Systems | We have conducted a long slit search for low surface brightness Lyman-alpha
emitters at redshift 2.67 < z < 3.75. A 92 hour long exposure with VLT/FORS2
down to a 1-sigma surface brightness detection limit of 8x10^-20
erg/cm2/s/sqarcsec yielded a sample of 27 single line emitters with fluxes of a
few times 10^-18 erg/s/cm2. We present arguments that most objects are indeed
Lyman-alpha. The large comoving number density, the large covering factor,
dN/dz ~ 0.2-1, and the often extended Lyman-alpha emission suggest that the
emitters be identified with the elusive host population of damped Lyman-alpha
systems (DLAS) and high column density Lyman limit systems. A small inferred
star formation rate, perhaps supplanted by cooling radiation, appears to
energetically dominate the Lyman-alpha emission, and is consistent with the low
metallicity, low dust content, and theoretically inferred low masses of DLAS,
and with the relative lack of success of earlier searches for their optical
counterparts. (abridged)
| astro-ph | we have conducted a long slit search for low surface brightness lymanalpha emitters at redshift 267 z 375 a 92 hour long exposure with vltfors2 down to a 1sigma surface brightness detection limit of 8x1020 ergcm2ssqarcsec yielded a sample of 27 single line emitters with fluxes of a few times 1018 ergscm2 we present arguments that most objects are indeed lymanalpha the large comoving number density the large covering factor dndz 021 and the often extended lymanalpha emission suggest that the emitters be identified with the elusive host population of damped lymanalpha systems dlas and high column density lyman limit systems a small inferred star formation rate perhaps supplanted by cooling radiation appears to energetically dominate the lymanalpha emission and is consistent with the low metallicity low dust content and theoretically inferred low masses of dlas and with the relative lack of success of earlier searches for their optical counterparts abridged | [['we', 'have', 'conducted', 'a', 'long', 'slit', 'search', 'for', 'low', 'surface', 'brightness', 'lymanalpha', 'emitters', 'at', 'redshift', '267', 'z', '375', 'a', '92', 'hour', 'long', 'exposure', 'with', 'vltfors2', 'down', 'to', 'a', '1sigma', 'surface', 'brightness', 'detection', 'limit', 'of', '8x1020', 'ergcm2ssqarcsec', 'yielded', 'a', 'sample', 'of', '27', 'single', 'line', 'emitters', 'with', 'fluxes', 'of', 'a', 'few', 'times', '1018', 'ergscm2', 'we', 'present', 'arguments', 'that', 'most', 'objects', 'are', 'indeed', 'lymanalpha', 'the', 'large', 'comoving', 'number', 'density', 'the', 'large', 'covering', 'factor', 'dndz', '021', 'and', 'the', 'often', 'extended', 'lymanalpha', 'emission', 'suggest', 'that', 'the', 'emitters', 'be', 'identified', 'with', 'the', 'elusive', 'host', 'population', 'of', 'damped', 'lymanalpha', 'systems', 'dlas', 'and', 'high', 'column', 'density', 'lyman', 'limit', 'systems', 'a', 'small', 'inferred', 'star', 'formation', 'rate', 'perhaps', 'supplanted', 'by', 'cooling', 'radiation', 'appears', 'to', 'energetically', 'dominate', 'the', 'lymanalpha', 'emission', 'and', 'is', 'consistent', 'with', 'the', 'low', 'metallicity', 'low', 'dust', 'content', 'and', 'theoretically', 'inferred', 'low', 'masses', 'of', 'dlas', 'and', 'with', 'the', 'relative', 'lack', 'of', 'success', 'of', 'earlier', 'searches', 'for', 'their', 'optical', 'counterparts', 'abridged']] | [-0.07319607019686959, 0.15932161349728202, 0.021365238414552287, 0.09673698733040388, -0.03777834828067946, -0.1107567293138162, 0.09602475957788727, 0.44845689983175907, -0.10452277905342088, -0.399256106184783, 0.05661169068587806, -0.3183593733498714, 0.03488892300566971, 0.1835437867768584, 0.025572224607556003, 0.010157810512386362, 0.0160960163577341, -0.12504611675230623, -0.027419991762242156, -0.27399776289052014, 0.18804917591405196, 0.12030859460629173, 0.22050576680183612, -0.013964915985629062, 0.09790958521650142, -0.10576627773526531, -0.07915897587401755, -0.01563080546489898, -0.1478713359067493, 0.04236721651216081, 0.2582648608274133, 0.09899263871183632, 0.2364230105315879, -0.31391864477776127, -0.21766277623906632, 0.07996561530303216, 0.20680812012791733, 0.0823004599660635, -0.0701035906266946, -0.28082559209695124, 0.03682388522585654, -0.14908995156820187, -0.17199631861095385, 0.11210396962000867, 0.06153912874776245, 0.0310410162615246, -0.16073502058588318, 0.16976985862109836, -0.04499762141802653, 0.12194554919014441, -0.06134605773329272, -0.09381727134846402, -0.08149273968582986, -0.01029060638178415, -0.0014990426056187024, 0.05697444331638465, 0.229259045163307, -0.1581543370450053, 0.0010070667458360627, 0.41034463714283187, -0.13340691208367506, 0.032660284560898804, 0.25386509120123674, -0.2422074739971267, -0.20101413621110903, 0.2774291096556769, 0.1465136956473525, 0.11604153008697142, -0.12342323058116056, -0.0005622109575603383, -0.009720243619842417, 0.28121483952882104, 0.034449723102277355, 0.12777137729158036, 0.3468287379962186, 0.10946320604232934, 0.02880042809649252, 0.02627618008233832, -0.2587987013104928, 0.03576661240709508, -0.20931707547302514, -0.1023372363544463, -0.11998510606986965, 0.15742130836334406, -0.1273376192844234, -0.136260632006764, 0.29724283421712133, 0.15101971496646635, 0.2517124190629654, 0.12974328748747432, 0.27620885346003576, 0.17939326123665744, 0.08357759268060577, 0.07195527054644471, 0.3151682722194733, 0.18242501812962028, 0.04887451788710568, -0.20357867416881975, 0.03781481233156667, -0.03638946063091491] |
711.1355 | Synthesis models in a probabilistic framework: metrics of fitting | In general, synthesis models provide the mean value of the distribution of
possible integrated luminosities, this distribution (and not only its mean
value) being the actual description of the integrated luminosity. Therefore, to
obtain the closest model to an observation only provides confi- dence about the
precision of such a fit, but not information about the accuracy of the result.
In this contribution we show how to overcome this drawback and we propose the
use of the theoretical mean-averaged dispersion that can be produced by
synthesis models as a metric of fitting to infer accurate physical parameters
of observed systems.
| astro-ph | in general synthesis models provide the mean value of the distribution of possible integrated luminosities this distribution and not only its mean value being the actual description of the integrated luminosity therefore to obtain the closest model to an observation only provides confi dence about the precision of such a fit but not information about the accuracy of the result in this contribution we show how to overcome this drawback and we propose the use of the theoretical meanaveraged dispersion that can be produced by synthesis models as a metric of fitting to infer accurate physical parameters of observed systems | [['in', 'general', 'synthesis', 'models', 'provide', 'the', 'mean', 'value', 'of', 'the', 'distribution', 'of', 'possible', 'integrated', 'luminosities', 'this', 'distribution', 'and', 'not', 'only', 'its', 'mean', 'value', 'being', 'the', 'actual', 'description', 'of', 'the', 'integrated', 'luminosity', 'therefore', 'to', 'obtain', 'the', 'closest', 'model', 'to', 'an', 'observation', 'only', 'provides', 'confi', 'dence', 'about', 'the', 'precision', 'of', 'such', 'a', 'fit', 'but', 'not', 'information', 'about', 'the', 'accuracy', 'of', 'the', 'result', 'in', 'this', 'contribution', 'we', 'show', 'how', 'to', 'overcome', 'this', 'drawback', 'and', 'we', 'propose', 'the', 'use', 'of', 'the', 'theoretical', 'meanaveraged', 'dispersion', 'that', 'can', 'be', 'produced', 'by', 'synthesis', 'models', 'as', 'a', 'metric', 'of', 'fitting', 'to', 'infer', 'accurate', 'physical', 'parameters', 'of', 'observed', 'systems']] | [-0.02838857546781323, 0.018633363905216672, -0.11729077190369824, 0.09419573157460295, -0.08260251899078792, -0.0776946926964637, 0.04907245175646884, 0.39115564509922146, -0.2650866698217103, -0.3839292050225242, 0.1092327729898638, -0.24853064492344856, -0.07920900267567865, 0.18103829252162987, -0.07516107187435335, 0.03188572918974832, 0.058200917149684867, 0.04735347159940106, -0.09432739150123576, -0.20993984880267966, 0.275516699380669, 0.08331465848474479, 0.25517153435111123, 0.052684219304605255, 0.10521346111116665, -0.030031419159578427, -0.023077968613135304, -0.00975898782038415, -0.12206730193362574, 0.17937617145516738, 0.21834138860281294, 0.165765088192919, 0.22879976614815545, -0.36210999474385563, -0.22833988911054115, 0.11724731179514938, 0.1447243463267021, 0.11145927623622309, -0.035406913228180945, -0.22395758671039828, 0.0671662160157397, -0.16577869159055456, -0.16886070860568814, -0.05971290126480922, 0.014407408628042559, -0.011745214367247358, -0.26848724532435286, 0.08362412315375191, 0.05241439379193364, 0.030198750333214293, -0.0767285981184651, -0.12348351219303108, -0.02186789012000877, 0.1456174667192889, 0.024177307219063977, 0.02978729916741235, 0.10692476856579282, -0.15386672028368908, -0.08653899517423493, 0.38821496011461226, -0.07417717259329724, -0.1809699194771903, 0.15211923798660235, -0.13259715816405201, -0.10182115484067068, 0.09807920784271341, 0.20520184919884316, 0.0954901435298427, -0.18706259980075518, 0.004678134719736646, -0.01195935864115552, 0.22644020176649435, -0.021783090206053183, 0.04301890222253563, 0.22398624314489413, 0.17279838506911635, 0.026031916542929048, 0.09727270886354263, -0.09237505032262784, -0.060919659787774735, -0.3078542495317453, -0.13272029368075594, -0.1804851802180008, 0.07887738560028232, -0.07050849601824777, -0.16777190624983335, 0.39686252051318177, 0.2622363823703585, 0.2656788179242261, 0.0951631152764799, 0.3050889977234967, 0.15529473252150192, 0.07410003652805652, 0.06776291261218031, 0.30580929562221376, 0.1129378961299413, 0.05730362946395667, -0.2048190258424349, 0.11734025993821573, -0.015494031603543125] |
711.1356 | The Simbol-X view of the unresolved X-ray background | We will briefly discuss the importance of sensitive X-ray observations above
10 keV for a better understanding of the physical mechanisms associated to the
Supermassive Black Hole primary emission and to the cosmological evolution of
the most obscured Active Galactic Nuclei.
| astro-ph | we will briefly discuss the importance of sensitive xray observations above 10 kev for a better understanding of the physical mechanisms associated to the supermassive black hole primary emission and to the cosmological evolution of the most obscured active galactic nuclei | [['we', 'will', 'briefly', 'discuss', 'the', 'importance', 'of', 'sensitive', 'xray', 'observations', 'above', '10', 'kev', 'for', 'a', 'better', 'understanding', 'of', 'the', 'physical', 'mechanisms', 'associated', 'to', 'the', 'supermassive', 'black', 'hole', 'primary', 'emission', 'and', 'to', 'the', 'cosmological', 'evolution', 'of', 'the', 'most', 'obscured', 'active', 'galactic', 'nuclei']] | [-0.047493512072123406, 0.13390858546353696, 0.013716790688837447, 0.22413086748068653, -0.1303383347737353, -0.07898960106937987, 0.05292706097839627, 0.38812624149751374, -0.1655725533648099, -0.3305236545459526, 0.0826691216902762, -0.3497080181089298, -0.031165116898170333, 0.2094453102113997, -0.008663062574114741, -0.021891907638325016, -0.05520751077409198, -0.06271181968835796, -0.06351928653695234, -0.20764747225656743, 0.3432612741343314, 0.22546649778761516, 0.14219015843530253, 0.03769532123171702, 0.08002239929103269, -0.04139968324679791, -0.09588477946817875, -0.05468711711284591, -0.15087760294355998, 0.09468057887946688, 0.29170867278263335, 0.17533713849914465, 0.2194647781278302, -0.3856247916545083, -0.25521587896183495, 0.07743470404842277, 0.201728773803064, 0.04013281660835918, -0.12294351266379036, -0.22111431970374612, 0.0810766868611298, -0.18379183538348937, -0.22972570486911914, 0.049792503392914446, 0.046615160229366, 0.030955822204194235, -0.1283778888968433, 0.08870479282809467, 0.03605135974031305, -0.06827039148931097, -0.19125319218047235, -0.08228527135556428, -0.030845258969859016, 0.08799470673746816, 0.10661887704599195, 0.04361623278023993, 0.29063606299687084, -0.1504617296727147, -0.11516328495586427, 0.4115662863705216, 0.02885571649161781, 0.03241448726777623, 0.2273117112813563, -0.2681810029032754, -0.2106577516874162, 0.1533098590514827, 0.19278162999487505, 0.1347730175205847, -0.14636680990366674, -0.028589987878903475, 0.05245449684174141, 0.23831005421716991, -0.019307671864403457, 0.11839288927432967, 0.41429369419631434, 0.19453290559453662, -0.010381089512077047, 0.0930514797659182, -0.20702571844506054, -0.04922865830907008, -0.27749896327760526, -0.07920907212921031, -0.07037250764622557, 0.1458074822454009, -0.17442334529612974, -0.07616046417459119, 0.37387303018760754, 0.1493149331611831, 0.19726392409832375, -0.06290849222710765, 0.29522516755614336, -0.00027791501545324556, 0.003600802408849321, 0.07577398457996003, 0.40430220452750604, 0.17226303961673162, 0.10027927457264102, -0.28982508789021066, 0.04067983447642225, 0.02122423332184553] |
711.1357 | How well do we understand cosmological recombination? | The major theoretical limitation for extracting cosmological parameters from
the CMB sky lies in the precision with which we can calculate the cosmological
recombination process. Uncertainty in the details of hydrogen and helium
recombination could effectively increase the errors or bias the values of the
cosmological parameters derived from the Planck satellite, for example. Here we
modify the cosmological recombination code RECFAST by introducing one more
parameter to reproduce the recent numerical results for the speed-up of the
helium recombination. Together with the existing hydrogen fudge factor, we vary
these two parameters to account for the remaining dominant uncertainties in
cosmological recombination. By using the CosmoMC code with Planck forecast
data, we find that we need to determine the parameters to better than ten per
cent for He I and one per cent for H, in order to obtain negligible effects on
the cosmological parameters. For helium recombination, if the existing studies
have calculated the ionization fraction to the 0.1 per cent level by properly
including the relevant physical processes, then we already have numerical
calculations which are accurate enough for Planck. For hydrogen, setting the
fudge factor to speed up low redshift recombination by 14 per cent appears to
be sufficient for Planck. However, more work still needs to be done to carry
out comprehensive numerical calculations of all the relevant effects for
hydrogen, as well as to check for effects which couple hydrogen and helium
recombinaton through the radiation field.
| astro-ph | the major theoretical limitation for extracting cosmological parameters from the cmb sky lies in the precision with which we can calculate the cosmological recombination process uncertainty in the details of hydrogen and helium recombination could effectively increase the errors or bias the values of the cosmological parameters derived from the planck satellite for example here we modify the cosmological recombination code recfast by introducing one more parameter to reproduce the recent numerical results for the speedup of the helium recombination together with the existing hydrogen fudge factor we vary these two parameters to account for the remaining dominant uncertainties in cosmological recombination by using the cosmomc code with planck forecast data we find that we need to determine the parameters to better than ten per cent for he i and one per cent for h in order to obtain negligible effects on the cosmological parameters for helium recombination if the existing studies have calculated the ionization fraction to the 01 per cent level by properly including the relevant physical processes then we already have numerical calculations which are accurate enough for planck for hydrogen setting the fudge factor to speed up low redshift recombination by 14 per cent appears to be sufficient for planck however more work still needs to be done to carry out comprehensive numerical calculations of all the relevant effects for hydrogen as well as to check for effects which couple hydrogen and helium recombinaton through the radiation field | [['the', 'major', 'theoretical', 'limitation', 'for', 'extracting', 'cosmological', 'parameters', 'from', 'the', 'cmb', 'sky', 'lies', 'in', 'the', 'precision', 'with', 'which', 'we', 'can', 'calculate', 'the', 'cosmological', 'recombination', 'process', 'uncertainty', 'in', 'the', 'details', 'of', 'hydrogen', 'and', 'helium', 'recombination', 'could', 'effectively', 'increase', 'the', 'errors', 'or', 'bias', 'the', 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711.1358 | The ACS Fornax Cluster Survey. II. The Central Brightness Profiles of
Early-Type Galaxies: A Characteristic Radius on Nuclear Scales and the
Transition from Central Luminosity Deficit to Excess | We analyse HST surface brightness profiles for 143 early-type galaxies in the
Virgo and Fornax Clusters. Sersic models provide accurate descriptions of the
global profiles with a notable exception: the observed profiles deviate
systematically inside a characteristic "break" radius of R_b ~ 0.02R_e where
R_e is the effective radius of the galaxy. The sense of the deviation is such
that bright galaxies (M_B < -20) typically show central light deficits with
respect to the inward extrapolation of the Sersic model, while the great
majority of low- and intermediate-luminosity galaxies (-19.5 < M_B < -15) show
central light excesses; galaxies occupying a narrow range of intermediate
luminosities (-20 < M_B < -19.5) are usually well fitted by Sersic models over
all radii. The slopes of the central surface brightness profiles, when measured
at fixed fractions of R_e, vary smoothly as a function of galaxy luminosity in
a manner that depends sensitively on the choice of measurement radius. We show
that a recent claim of strong bimodality in slope is likely an artifact of the
galaxy selection function used in that study. To provide a more robust
characterization of the inner regions of galaxies, we introduce a parameter
that describes the central luminosity deficit or excess relative to the inward
extrapolation of the outer Sersic model. We find that this parameter varies
smoothly over the range of ~ 720 in blue luminosity spanned by the Virgo and
Fornax sample galaxies, with no evidence for a dichotomy. We argue that the
central light excesses (nuclei) in M_B > -19 galaxies may be the analogs of the
dense central cores that are predicted by some numerical simulations to form
via gas inflows. (ABRIDGED)
| astro-ph | we analyse hst surface brightness profiles for 143 earlytype galaxies in the virgo and fornax clusters sersic models provide accurate descriptions of the global profiles with a notable exception the observed profiles deviate systematically inside a characteristic break radius of r_b 002r_e where r_e is the effective radius of the galaxy the sense of the deviation is such that bright galaxies m_b 20 typically show central light deficits with respect to the inward extrapolation of the sersic model while the great majority of low and intermediateluminosity galaxies 195 m_b 15 show central light excesses galaxies occupying a narrow range of intermediate luminosities 20 m_b 195 are usually well fitted by sersic models over all radii the slopes of the central surface brightness profiles when measured at fixed fractions of r_e vary smoothly as a function of galaxy luminosity in a manner that depends sensitively on the choice of measurement radius we show that a recent claim of strong bimodality in slope is likely an artifact of the galaxy selection function used in that study to provide a more robust characterization of the inner regions of galaxies we introduce a parameter that describes the central luminosity deficit or excess relative to the inward extrapolation of the outer sersic model we find that this parameter varies smoothly over the range of 720 in blue luminosity spanned by the virgo and fornax sample galaxies with no evidence for a dichotomy we argue that the central light excesses nuclei in m_b 19 galaxies may be the analogs of the dense central cores that are predicted by some numerical simulations to form via gas inflows abridged | [['we', 'analyse', 'hst', 'surface', 'brightness', 'profiles', 'for', '143', 'earlytype', 'galaxies', 'in', 'the', 'virgo', 'and', 'fornax', 'clusters', 'sersic', 'models', 'provide', 'accurate', 'descriptions', 'of', 'the', 'global', 'profiles', 'with', 'a', 'notable', 'exception', 'the', 'observed', 'profiles', 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'manner', 'that', 'depends', 'sensitively', 'on', 'the', 'choice', 'of', 'measurement', 'radius', 'we', 'show', 'that', 'a', 'recent', 'claim', 'of', 'strong', 'bimodality', 'in', 'slope', 'is', 'likely', 'an', 'artifact', 'of', 'the', 'galaxy', 'selection', 'function', 'used', 'in', 'that', 'study', 'to', 'provide', 'a', 'more', 'robust', 'characterization', 'of', 'the', 'inner', 'regions', 'of', 'galaxies', 'we', 'introduce', 'a', 'parameter', 'that', 'describes', 'the', 'central', 'luminosity', 'deficit', 'or', 'excess', 'relative', 'to', 'the', 'inward', 'extrapolation', 'of', 'the', 'outer', 'sersic', 'model', 'we', 'find', 'that', 'this', 'parameter', 'varies', 'smoothly', 'over', 'the', 'range', 'of', '720', 'in', 'blue', 'luminosity', 'spanned', 'by', 'the', 'virgo', 'and', 'fornax', 'sample', 'galaxies', 'with', 'no', 'evidence', 'for', 'a', 'dichotomy', 'we', 'argue', 'that', 'the', 'central', 'light', 'excesses', 'nuclei', 'in', 'm_b', '19', 'galaxies', 'may', 'be', 'the', 'analogs', 'of', 'the', 'dense', 'central', 'cores', 'that', 'are', 'predicted', 'by', 'some', 'numerical', 'simulations', 'to', 'form', 'via', 'gas', 'inflows', 'abridged']] | [-0.049340477230294645, 0.09583127758065799, -0.09085345141141227, 0.11476186680590252, -0.04565491721258257, -0.050012461394416514, 0.03603657418172117, 0.43014445172760774, -0.11775464502473672, -0.37559572678615544, 0.038367427542753935, -0.30906750843342806, -0.02959897520313798, 0.19118667766883005, -0.06061773871037143, -0.02719053291387994, 0.019642003056920928, -0.0799204081993257, -0.10371681352111477, -0.2406213941975255, 0.29111252039567465, 0.028190726516940802, 0.1925249378265882, -0.038651526358875414, 0.013926948999330677, -0.04063272230344376, -0.06903969091762081, 0.004001166864677712, -0.16335382784686603, 0.04055556834317502, 0.22602725942671423, 0.09576597864894817, 0.23546904468805427, -0.3213994831017906, -0.17000911556339512, 0.12029484740147987, 0.22662054787700375, 0.005821878787268091, 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711.1359 | On the Hausdorff Dimension of the Mather Quotient | Under appropriate assumptions on the dimension of the ambient manifold and
the regularity of the Hamiltonian, we show that the Mather quotient is small in
term of Hausdorff dimension. Then, we present applications in dynamics.
| math.DS | under appropriate assumptions on the dimension of the ambient manifold and the regularity of the hamiltonian we show that the mather quotient is small in term of hausdorff dimension then we present applications in dynamics | [['under', 'appropriate', 'assumptions', 'on', 'the', 'dimension', 'of', 'the', 'ambient', 'manifold', 'and', 'the', 'regularity', 'of', 'the', 'hamiltonian', 'we', 'show', 'that', 'the', 'mather', 'quotient', 'is', 'small', 'in', 'term', 'of', 'hausdorff', 'dimension', 'then', 'we', 'present', 'applications', 'in', 'dynamics']] | [-0.17379312547189849, 0.08984489738941193, -0.09388807075364249, 0.09053276504855604, -0.017066929728857108, -0.06617071341191019, -0.013334861337872489, 0.339097942092589, -0.29343522297484537, -0.18188304669622865, 0.1409806478702064, -0.2545409541044916, -0.18872095491471036, 0.16677312356020724, -0.14075249241931098, 0.053955029496656995, 0.07723313109683139, 0.1288517237241779, -0.09694637365506163, -0.29864012811865126, 0.47480734224830357, -0.004399101173372141, 0.2554153240152768, 0.10839135254833049, 0.17002080040318626, -0.02384287021788103, 0.061482625428055014, 0.061457156496388575, -0.2105717363711197, 0.12087290079465934, 0.16849046668836049, 0.09830786042979785, 0.2397709509490856, -0.4047742218843528, -0.2279096223147852, 0.10320391261151858, 0.06067406565083989, 0.030047033155070884, 0.005024624200138663, -0.28731000130730017, 0.12424140572547912, -0.10004836214440209, -0.20723897844020808, -0.10866936407983303, 0.0540277825402362, -0.014622315445116588, -0.2625871808401176, 0.04714008443323629, 0.11561325556997742, 0.12075675736580577, -0.12717624889420612, -0.04855470707906144, -0.04190897159278393, 0.06934538200896766, 0.06852848417391734, -0.005859757946538074, 0.10450204006795372, -0.09774119827364172, -0.032335526403039695, 0.3617487299389073, -0.1107823182230017, -0.2983277247420379, 0.2110974058508873, -0.17901283111423255, -0.16729712369186536, 0.0683555144816637, 0.1541611898690462, 0.12948962753372534, -0.07052158801151173, 0.26022477850949927, -0.06704210165355887, 0.12341833407325405, 0.06584924760141543, 0.06474762054692422, -0.004744927691561835, 0.1649558809186731, 0.1818508770050747, 0.16578064167073794, -0.0796961923728564, -0.07529771221535546, -0.3583002866378852, -0.1680905924311706, -0.1989789798323597, 0.18433516012238604, -0.16042847788984155, -0.1301670091226697, 0.38981346541217393, 0.17821147335427148, 0.19337262926357132, 0.055747554451227185, 0.2760041644530637, 0.0930854124416198, 0.014275046225105012, 0.11481745938903519, 0.18815589621663092, 0.11119801971529211, 0.008976131211966276, -0.19086154133214484, 0.007353654650173017, 0.1873857144266367] |
711.136 | Analytical approach to bit-string models of language evolution | A formulation of bit-string models of language evolution, based on
differential equations for the population speaking each language, is introduced
and preliminarily studied. Connections with replicator dynamics and diffusion
processes are pointed out. The stability of the dominance state, where most of
the population speaks a single language, is analyzed within a mean-field-like
approximation, while the homogeneous state, where the population is evenly
distributed among languages, can be exactly studied. This analysis discloses
the existence of a bistability region, where dominance coexists with
homogeneity as possible asymptotic states. Numerical resolution of the
differential system validates these findings.
| physics.soc-ph cs.CL | a formulation of bitstring models of language evolution based on differential equations for the population speaking each language is introduced and preliminarily studied connections with replicator dynamics and diffusion processes are pointed out the stability of the dominance state where most of the population speaks a single language is analyzed within a meanfieldlike approximation while the homogeneous state where the population is evenly distributed among languages can be exactly studied this analysis discloses the existence of a bistability region where dominance coexists with homogeneity as possible asymptotic states numerical resolution of the differential system validates these findings | [['a', 'formulation', 'of', 'bitstring', 'models', 'of', 'language', 'evolution', 'based', 'on', 'differential', 'equations', 'for', 'the', 'population', 'speaking', 'each', 'language', 'is', 'introduced', 'and', 'preliminarily', 'studied', 'connections', 'with', 'replicator', 'dynamics', 'and', 'diffusion', 'processes', 'are', 'pointed', 'out', 'the', 'stability', 'of', 'the', 'dominance', 'state', 'where', 'most', 'of', 'the', 'population', 'speaks', 'a', 'single', 'language', 'is', 'analyzed', 'within', 'a', 'meanfieldlike', 'approximation', 'while', 'the', 'homogeneous', 'state', 'where', 'the', 'population', 'is', 'evenly', 'distributed', 'among', 'languages', 'can', 'be', 'exactly', 'studied', 'this', 'analysis', 'discloses', 'the', 'existence', 'of', 'a', 'bistability', 'region', 'where', 'dominance', 'coexists', 'with', 'homogeneity', 'as', 'possible', 'asymptotic', 'states', 'numerical', 'resolution', 'of', 'the', 'differential', 'system', 'validates', 'these', 'findings']] | [-0.14986295100858377, 0.09434587924654797, -0.10394167433464035, 0.09197996676774677, -0.03574697475534739, -0.15054198359283283, 0.06181445341442049, 0.31092892796492455, -0.2831960859835705, -0.26400789792755064, 0.09581278057855352, -0.263327714871884, -0.11832937212257656, 0.1386137719352528, -0.010747769247733307, 0.002381984419285406, 0.04494343994223734, 0.04720770691271833, 0.0007002118815303079, -0.21399893583345814, 0.3423859535334824, 0.03180268601773633, 0.2861963389153333, -0.037900580366975606, 0.11936246480831166, -0.032084989282254554, -0.004254357706870615, 0.05028871090641034, -0.09333786477824461, 0.07588029003488476, 0.28195114332160787, 0.12605904418610267, 0.2954843273559182, -0.38424136032609596, -0.24188878629164598, 0.048328749653067174, 0.15617319337121144, 0.08273972840451625, -0.02472981470565014, -0.2810346333636451, 0.0649773277217503, -0.1457674050530822, -0.11735142722723468, -0.053109538731808514, 0.02850097052983402, 0.03495699253182897, -0.24537562398052745, 0.08545734489471027, 0.07207958308557413, 0.08092789567488524, -0.0803441829024094, -0.10150318188933637, -0.06858011116705758, 0.10787863198418132, 0.02122305823278796, -0.03127402071024954, 0.10108200607571713, -0.11660758125806976, -0.1355440849054259, 0.37848748284219236, -0.05930425501524557, -0.21469899265037984, 0.1961413827369508, -0.1436993721392505, -0.12299026605989977, 0.10794168126951788, 0.12650647165119341, 0.14365229912140628, -0.18286914049081274, 0.08658286175311342, -0.06701286393457774, 0.20737453665675537, 0.04925678409011938, 0.02096001736666124, 0.1928306358731976, 0.2601003931816091, 0.029090639194185586, 0.12107775147077772, -0.04162359859592752, -0.2418013319532752, -0.29273928187249865, -0.12850969037300303, -0.11830955849403572, 0.03446076114868419, -0.0691814021031569, -0.15619550834496304, 0.38332754745599384, 0.11180293960880834, 0.16700617800533926, 0.06882385583114378, 0.23717105098443164, 0.12224717247995942, 0.026609986386809153, 0.08280388492437982, 0.19551226107845293, 0.17713289104939736, 0.08423923764656269, -0.23450674913996428, 0.1224017470748615, 0.02799199533063112] |
711.1361 | Molecular Star Formation Rate Indicators in Galaxies | We derive a physical model for the observed relations between star formation
rate (SFR) and molecular line (CO and HCN) emission in galaxies, and show how
these observed relations are reflective of the underlying star formation law.
We do this by combining 3D non-LTE radiative transfer calculations with
hydrodynamic simulations of isolated disk galaxies and galaxy mergers. We
demonstrate that the observed SFR-molecular line relations are driven by the
relationship between molecular line emission and gas density, and anchored by
the index of the underlying Schmidt law controlling the SFR in the galaxy.
Lines with low critical densities (e.g. CO J=1-0) are typically thermalized and
trace the gas density faithfully. In these cases, the SFR will be related to
line luminosity with an index similar to the Schmidt law index. Lines with high
critical densities greater than the mean density of most of the emitting clouds
in a galaxy (e.g. CO J=3-2, HCN J=1-0) will have only a small amount of
thermalized gas, and consequently a superlinear relationship between molecular
line luminosity and mean gas density. This results in a SFR-line luminosity
index less than the Schmidt index for high critical density tracers. One
observational consequence of this is a significant redistribution of light from
the small pockets of dense, thermalized gas to diffuse gas along the line of
sight, and prodigious emission from subthermally excited gas. At the highest
star formation rates, the SFR-Lmol slope tends to the Schmidt index, regardless
of the molecular transition. The fundamental relation is the Kennicutt-Schmidt
law, rather than the relation between SFR and molecular line luminosity. We use
these results to make imminently testable predictions for the SFR-molecular
line relations of unobserved transitions.
| astro-ph | we derive a physical model for the observed relations between star formation rate sfr and molecular line co and hcn emission in galaxies and show how these observed relations are reflective of the underlying star formation law we do this by combining 3d nonlte radiative transfer calculations with hydrodynamic simulations of isolated disk galaxies and galaxy mergers we demonstrate that the observed sfrmolecular line relations are driven by the relationship between molecular line emission and gas density and anchored by the index of the underlying schmidt law controlling the sfr in the galaxy lines with low critical densities eg co j10 are typically thermalized and trace the gas density faithfully in these cases the sfr will be related to line luminosity with an index similar to the schmidt law index lines with high critical densities greater than the mean density of most of the emitting clouds in a galaxy eg co j32 hcn j10 will have only a small amount of thermalized gas and consequently a superlinear relationship between molecular line luminosity and mean gas density this results in a sfrline luminosity index less than the schmidt index for high critical density tracers one observational consequence of this is a significant redistribution of light from the small pockets of dense thermalized gas to diffuse gas along the line of sight and prodigious emission from subthermally excited gas at the highest star formation rates the sfrlmol slope tends to the schmidt index regardless of the molecular transition the fundamental relation is the kennicuttschmidt law rather than the relation between sfr and molecular line luminosity we use these results to make imminently testable predictions for the sfrmolecular line relations of unobserved transitions | [['we', 'derive', 'a', 'physical', 'model', 'for', 'the', 'observed', 'relations', 'between', 'star', 'formation', 'rate', 'sfr', 'and', 'molecular', 'line', 'co', 'and', 'hcn', 'emission', 'in', 'galaxies', 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'schmidt', 'index', 'regardless', 'of', 'the', 'molecular', 'transition', 'the', 'fundamental', 'relation', 'is', 'the', 'kennicuttschmidt', 'law', 'rather', 'than', 'the', 'relation', 'between', 'sfr', 'and', 'molecular', 'line', 'luminosity', 'we', 'use', 'these', 'results', 'to', 'make', 'imminently', 'testable', 'predictions', 'for', 'the', 'sfrmolecular', 'line', 'relations', 'of', 'unobserved', 'transitions']] | [-0.05598091178891088, 0.11060777664057476, -0.02663535107657474, 0.10839991579661414, -0.032183445553737526, -0.07918697693586188, 0.062005123991511674, 0.44440571132631934, -0.1622416254885917, -0.32699849844446216, 0.02497719491625928, -0.29426781031664917, -0.02928305031872428, 0.14892645228424667, 0.035427772130552516, -0.008895383103794197, -0.012788479350400056, -0.11490795168382444, -0.07330540694918637, -0.190840918286, 0.34591712716007067, 0.09028322486166689, 0.23985163755099315, 0.04535021813939788, 0.02736196259538963, -0.15059792625938925, 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711.1362 | Finitely approximable groups and actions Part I: The
Ribes--Zalesski\u\i{} property | We investigate extensions of S. Solecki's theorem on closing off finite
partial isometries of metric spaces \cite{solecki1} and obtain the following
exact equivalence: any action of a discrete group $\Gamma$ by isometries of a
metric space is finitely approximable if and only if any product of finitely
generated subgroups of $\Gamma$ is closed in the profinite topology on
$\Gamma$.
| math.LO | we investigate extensions of s soleckis theorem on closing off finite partial isometries of metric spaces citesolecki1 and obtain the following exact equivalence any action of a discrete group gamma by isometries of a metric space is finitely approximable if and only if any product of finitely generated subgroups of gamma is closed in the profinite topology on gamma | [['we', 'investigate', 'extensions', 'of', 's', 'soleckis', 'theorem', 'on', 'closing', 'off', 'finite', 'partial', 'isometries', 'of', 'metric', 'spaces', 'citesolecki1', 'and', 'obtain', 'the', 'following', 'exact', 'equivalence', 'any', 'action', 'of', 'a', 'discrete', 'group', 'gamma', 'by', 'isometries', 'of', 'a', 'metric', 'space', 'is', 'finitely', 'approximable', 'if', 'and', 'only', 'if', 'any', 'product', 'of', 'finitely', 'generated', 'subgroups', 'of', 'gamma', 'is', 'closed', 'in', 'the', 'profinite', 'topology', 'on', 'gamma']] | [-0.17439228080605207, 0.19450134716176412, -0.09700498644981467, 0.08024564936446647, -0.1081072950997112, -0.11970059616131741, 0.0746554561090051, 0.3843136942177488, -0.35741124527626916, -0.16188042261739866, 0.10861441835948969, -0.30101637207298426, -0.06923385125405171, 0.21795799918962935, -0.12166021301884923, -0.03582968265471751, 0.08060018572825611, 0.178004457468265, -0.12198293445582845, -0.24047146701629749, 0.437189462545671, -0.08415426406192414, 0.2213520176970122, 0.07912052965216469, 0.16226011530185738, 0.04543828962599499, -0.084996685483738, 0.0021518930019769947, -0.13967786239370247, 0.0797330942004919, 0.25172011492153007, 0.09924981063803691, 0.22967785533942414, -0.32645107256738765, -0.18391733469539567, 0.2592567188436525, 0.07494605305040941, -0.08994000225344248, -0.03113132913335504, -0.3503425642848015, 0.14241433055385164, -0.16004324139079504, -0.11500529251306464, -0.049000351428332034, 0.10488432235076305, -0.010958152202268442, -0.21392274049944, -0.026346697128917042, 0.13019780659427246, 0.07900831193597824, -0.07999669098736424, 0.019484554466448332, -0.053673079024934976, 0.09814148593955395, 0.0362212394788992, 0.044037839626533945, 0.10435606330927265, -0.013123143039513053, -0.14593184821046234, 0.4187140648596381, -0.07217852699390628, -0.2780639860582979, 0.10198581986652132, -0.20670524125984102, -0.1714463062551722, 0.13690804456475011, 0.10304813478713888, 0.17990770295523761, -0.019945192461212475, 0.34636605759518907, -0.15969596098977745, 0.09000712352102264, 0.12225960711376709, -0.021907787149151165, 0.05145175710908676, 0.06724430478521083, 0.14531462750675386, 0.10112835460326128, 0.10893045317406129, 0.042265969872874974, -0.4224767894075628, -0.15360597632784528, -0.1362074758007861, 0.18290025139586968, -0.14367138334394744, -0.21095009288636216, 0.3768660950866577, -0.03189020096569469, 0.12697172701652898, 0.10522047755014348, 0.22113019129947611, 0.048415517348698096, -0.015278702454739496, 0.11089636345410295, 0.09557973175195225, 0.20690703410410174, -0.19403612685569546, -0.12890735828611805, 0.0055496267026715115, 0.2357355766815313] |
711.1363 | Short Baseline Neutrino Oscillations and a New Light Gauge Boson | We consider a model of neutrino oscillations with three additional sterile
neutrinos and a gauged B-L interaction. We find allowed values of the model
parameters which can reconcile the results of the evidence for antimuon
neutrino to antielectron neutrino conversion seen at the LSND neutrino
oscillation experiment with the null results of the MiniBooNE experiment. A
portion of the low energy excess of electron neutrino events seen at MiniBooNE
can arise naturally, and we make a quantitative prediction for the forthcoming
anti-neutrino oscillation results at MiniBooNE.
| hep-ph | we consider a model of neutrino oscillations with three additional sterile neutrinos and a gauged bl interaction we find allowed values of the model parameters which can reconcile the results of the evidence for antimuon neutrino to antielectron neutrino conversion seen at the lsnd neutrino oscillation experiment with the null results of the miniboone experiment a portion of the low energy excess of electron neutrino events seen at miniboone can arise naturally and we make a quantitative prediction for the forthcoming antineutrino oscillation results at miniboone | [['we', 'consider', 'a', 'model', 'of', 'neutrino', 'oscillations', 'with', 'three', 'additional', 'sterile', 'neutrinos', 'and', 'a', 'gauged', 'bl', 'interaction', 'we', 'find', 'allowed', 'values', 'of', 'the', 'model', 'parameters', 'which', 'can', 'reconcile', 'the', 'results', 'of', 'the', 'evidence', 'for', 'antimuon', 'neutrino', 'to', 'antielectron', 'neutrino', 'conversion', 'seen', 'at', 'the', 'lsnd', 'neutrino', 'oscillation', 'experiment', 'with', 'the', 'null', 'results', 'of', 'the', 'miniboone', 'experiment', 'a', 'portion', 'of', 'the', 'low', 'energy', 'excess', 'of', 'electron', 'neutrino', 'events', 'seen', 'at', 'miniboone', 'can', 'arise', 'naturally', 'and', 'we', 'make', 'a', 'quantitative', 'prediction', 'for', 'the', 'forthcoming', 'antineutrino', 'oscillation', 'results', 'at', 'miniboone']] | [-0.08181153862672143, 0.2667665833574828, -0.0011175299783475524, 0.2395053252491147, -0.06823382594048717, -0.13109332344733005, 0.09391186630006793, 0.28350972288104076, -0.17617809007940596, -0.36302261162809163, -0.0072250902019224544, -0.3935504920867293, -0.026416778791869103, 0.20778045273212672, 0.0388194544262491, 0.03206338381904399, 0.12789437553823688, -0.005913162939683642, -0.08459577654206822, -0.18803293689229894, 0.22725335599551366, 0.15251105981554056, 0.2595849433957144, 0.07766194204085095, 0.1226987073761086, -0.07374058751833387, -0.09072605524818565, -0.06724084885574358, -0.08616369103807767, 0.03869814083499964, 0.25351465728504824, 0.1056107219936716, 0.055921978750374426, -0.4374721023730587, -0.22722288777748512, 0.19230905765949122, 0.13356807710925053, 0.09683545967861794, -0.09429702481124984, -0.3230720580187301, 0.00798518446999667, -0.2368246492128386, -0.1536161995731121, -0.007989592116521022, -0.09560929546890737, -0.048977504256939475, -0.35351541621047394, 0.12422632382706154, -0.04771949094720185, -0.028158761907455532, -0.10555499838665128, -0.1692365023719017, 0.026527640176936984, 0.01995773500827856, 0.2015034805910207, -0.04886474305233204, 0.08694895300851745, -0.13592580578094998, -0.14286057574154679, 0.36666406095461096, -0.10150020138826221, -0.10257525482150011, 0.10102258873886841, -0.2400760581976799, -0.11918704875008485, 0.12930542266342876, 0.13124644387036907, -0.04102020660891782, -0.15024152566505553, 0.05122920943506679, -0.152108209207654, 0.1584079418829534, 0.07256639573376539, -0.023307843664444463, 0.31489440386703366, 0.2674736259613446, 0.10504739196581203, -0.07957782878183088, -0.22175958336244317, 0.057765901543546556, -0.43821341600160785, -0.04680107259949626, -0.03295987814686499, 0.08622330314003278, -0.0071401357712348665, -0.08909879611306933, 0.4427133793834337, 0.13143535937943365, 0.2518102242069882, -0.017536790639454455, 0.26813885586899383, 0.05149214042264015, 0.045663606045161224, -0.0260853364760446, 0.3518391927964119, 0.08824982886137657, 0.1717781074518381, -0.28846454012835787, -0.0014649937091785114, 0.03635503237709663] |
711.1364 | Dynamics in nonlocal linear models in the Friedmann-Robertson-Walker
metric | A general class of cosmological models driven by a nonlocal scalar field
inspired by the string field theory is studied. Using the fact that the
considering linear nonlocal model is equivalent to an infinite number of local
models we have found an exact special solution of the nonlocal Friedmann
equations. This solution describes a monotonically increasing Universe with the
phantom dark energy.
| hep-th astro-ph gr-qc math-ph math.MP | a general class of cosmological models driven by a nonlocal scalar field inspired by the string field theory is studied using the fact that the considering linear nonlocal model is equivalent to an infinite number of local models we have found an exact special solution of the nonlocal friedmann equations this solution describes a monotonically increasing universe with the phantom dark energy | [['a', 'general', 'class', 'of', 'cosmological', 'models', 'driven', 'by', 'a', 'nonlocal', 'scalar', 'field', 'inspired', 'by', 'the', 'string', 'field', 'theory', 'is', 'studied', 'using', 'the', 'fact', 'that', 'the', 'considering', 'linear', 'nonlocal', 'model', 'is', 'equivalent', 'to', 'an', 'infinite', 'number', 'of', 'local', 'models', 'we', 'have', 'found', 'an', 'exact', 'special', 'solution', 'of', 'the', 'nonlocal', 'friedmann', 'equations', 'this', 'solution', 'describes', 'a', 'monotonically', 'increasing', 'universe', 'with', 'the', 'phantom', 'dark', 'energy']] | [-0.1466216430473592, 0.09559423831383503, -0.07368573287291633, 0.08982610395516179, -0.08769664090246923, -0.17089308808077006, -0.08927972576648538, 0.26765186537898356, -0.2565388850146724, -0.2933174212868776, 0.026870044282517366, -0.2583875046900263, -0.13286315757901437, 0.14308127820596941, -0.020315171835283117, 0.03653426792833113, -0.015096949954186716, 0.05549357332769902, -0.04499907809264597, -0.25674463003393144, 0.37652701608866695, 0.06080220154892173, 0.24397908894705675, -0.010003185200114404, 0.1517992309565025, -0.030227388153904147, -0.036833874460670255, 0.13384770169936783, -0.19060109796496802, 0.06317912919386741, 0.17165145360746875, 0.09604029925239663, 0.2937218031598135, -0.4505797672656275, -0.28455057235494735, 0.15665712736306653, 0.1311834294108614, 0.19407162880675205, -0.08405035531764189, -0.2902080597536218, 0.055000505575369445, -0.19281454705783435, -0.16895334915288032, -0.02125548637817584, 0.007972457344763942, 0.001334459881388372, -0.23676147098622977, 0.11475818085994932, 0.02141668387658654, -0.009638881836567194, -0.12754222938430407, -0.03449633377115993, -0.009312048486824478, -0.0019701650185931113, 0.09368064520587664, 0.049797223565439065, 0.08123061458970751, -0.2131867156356513, -0.08879641532304607, 0.35161176918735426, -0.16315240519601973, -0.23291626744227664, 0.11247080671150357, -0.056790690658794295, -0.08365305063630184, 0.1216985022840691, 0.07390735925535762, 0.1551047401022046, -0.18642044115451076, 0.2234275086121934, -0.07674796479724107, 0.17912161608617153, 0.03704654495982874, -0.032680084372142086, 0.23212891707437172, 0.13628942469104885, 0.03614839282442605, 0.13577901151391766, 0.0383243034593761, -0.17581216397605115, -0.3563062085980369, -0.12166560483127532, -0.159157472993097, 0.0834953901958802, -0.13964274449033603, -0.20703590930920215, 0.3753250887647511, 0.09474527486975515, 0.1467480295818419, 0.05375306057413259, 0.22460827730115382, 0.20948127996657165, 0.02970048357101698, 0.062357092937154156, 0.2585535254479656, 0.1622411145137683, 0.12756656539896805, -0.23915083273764579, -0.02732893855183295, 0.09484189645116849] |
711.1365 | Anyonic interferometry and protected memories in atomic spin lattices | Strongly correlated quantum systems can exhibit exotic behavior called
topological order which is characterized by non-local correlations that depend
on the system topology. Such systems can exhibit remarkable phenomena such as
quasi-particles with anyonic statistics and have been proposed as candidates
for naturally fault-tolerant quantum computation. Despite these remarkable
properties, anyons have never been observed in nature directly. Here we
describe how to unambiguously detect and characterize such states in recently
proposed spin lattice realizations using ultra-cold atoms or molecules trapped
in an optical lattice. We propose an experimentally feasible technique to
access non-local degrees of freedom by performing global operations on trapped
spins mediated by an optical cavity mode. We show how to reliably read and
write topologically protected quantum memory using an atomic or photonic qubit.
Furthermore, our technique can be used to probe statistics and dynamics of
anyonic excitations.
| quant-ph | strongly correlated quantum systems can exhibit exotic behavior called topological order which is characterized by nonlocal correlations that depend on the system topology such systems can exhibit remarkable phenomena such as quasiparticles with anyonic statistics and have been proposed as candidates for naturally faulttolerant quantum computation despite these remarkable properties anyons have never been observed in nature directly here we describe how to unambiguously detect and characterize such states in recently proposed spin lattice realizations using ultracold atoms or molecules trapped in an optical lattice we propose an experimentally feasible technique to access nonlocal degrees of freedom by performing global operations on trapped spins mediated by an optical cavity mode we show how to reliably read and write topologically protected quantum memory using an atomic or photonic qubit furthermore our technique can be used to probe statistics and dynamics of anyonic excitations | [['strongly', 'correlated', 'quantum', 'systems', 'can', 'exhibit', 'exotic', 'behavior', 'called', 'topological', 'order', 'which', 'is', 'characterized', 'by', 'nonlocal', 'correlations', 'that', 'depend', 'on', 'the', 'system', 'topology', 'such', 'systems', 'can', 'exhibit', 'remarkable', 'phenomena', 'such', 'as', 'quasiparticles', 'with', 'anyonic', 'statistics', 'and', 'have', 'been', 'proposed', 'as', 'candidates', 'for', 'naturally', 'faulttolerant', 'quantum', 'computation', 'despite', 'these', 'remarkable', 'properties', 'anyons', 'have', 'never', 'been', 'observed', 'in', 'nature', 'directly', 'here', 'we', 'describe', 'how', 'to', 'unambiguously', 'detect', 'and', 'characterize', 'such', 'states', 'in', 'recently', 'proposed', 'spin', 'lattice', 'realizations', 'using', 'ultracold', 'atoms', 'or', 'molecules', 'trapped', 'in', 'an', 'optical', 'lattice', 'we', 'propose', 'an', 'experimentally', 'feasible', 'technique', 'to', 'access', 'nonlocal', 'degrees', 'of', 'freedom', 'by', 'performing', 'global', 'operations', 'on', 'trapped', 'spins', 'mediated', 'by', 'an', 'optical', 'cavity', 'mode', 'we', 'show', 'how', 'to', 'reliably', 'read', 'and', 'write', 'topologically', 'protected', 'quantum', 'memory', 'using', 'an', 'atomic', 'or', 'photonic', 'qubit', 'furthermore', 'our', 'technique', 'can', 'be', 'used', 'to', 'probe', 'statistics', 'and', 'dynamics', 'of', 'anyonic', 'excitations']] | [-0.1352607435860399, 0.2433543634952643, -0.0782407620351132, 0.033646045058381965, -0.029030573068999907, -0.20977763266919155, 0.0460929256793387, 0.41146275972780233, -0.26828389679750714, -0.3064519145878415, 0.04125745240418555, -0.2757559309215088, -0.1815733279816439, 0.1972538313047934, -0.022266064985109243, 0.10604238449136766, 0.0020635346160598205, -0.015694286141374057, -0.04025648221944157, -0.2494896177963262, 0.25188731303441414, 0.035554392598602186, 0.30536092665295683, 0.04956565871769169, 0.0889081381307259, -0.0026590383109885833, 0.07154854299487468, 0.02135713219242564, -0.1139335666054431, 0.0778484912076801, 0.25683972076512873, 0.02126057461415693, 0.1600499260895164, -0.5046305244355659, -0.23568584003262746, 0.09785694302335171, 0.21071383779832412, 0.1803281492394605, -0.04126438640654874, -0.34913811566386843, 0.03601881753469647, -0.19447917072430357, -0.13563768885714908, -0.2562642472527239, -0.006217569867017823, -0.007152126238740403, -0.17804942838191776, 0.047099955878417255, 0.041595873308145036, 0.07218057088370264, 0.02789853338945762, -0.0060373137887029475, -0.01344448332855163, 0.10329959748975251, -0.06872880506627656, -0.022502321807313447, 0.14959298089002324, -0.12764295177291554, -0.2377960846339628, 0.3621732947797003, -0.04639272855407834, -0.20472025954243267, 0.2350609175283724, -0.09135223145622917, -0.11502204455999317, 0.09958787118478245, 0.15850458426186226, 0.08197862755599052, -0.14393811548312366, 0.03739881784077996, -0.03667323992089171, 0.21337023514247513, 0.022755853564504692, 0.20753179403008815, 0.2893254108936854, 0.10994038736967461, 0.04766905190780575, 0.17260183167042709, -0.08514012826621388, -0.12259912557086684, -0.2111604341902626, -0.15884492904379058, -0.2737416077696663, 0.07645011763662284, 0.02910108317032417, -0.14093749165948166, 0.39012770720062334, 0.156877036254794, 0.16871882373676964, -0.0830459853668671, 0.22541395239991097, 0.1148244519677, 0.11414606061200021, 0.06204287304123208, 0.24158658180385828, 0.13715413350998884, 0.030248605302173454, -0.2874815479809628, 0.032839686654075245, 0.03013274916382113] |
711.1366 | A model of quantum-like decision-making with applications to psychology
and cognitive science | We consider the following model of decision-making by cognitive systems. We
present an algorithm -- quantum-like representation algorithm (QLRA) -- which
provides a possibility to represent probabilistic data of any origin by complex
probability amplitudes. Our conjecture is that cognitive systems developed the
ability to use QLRA. They operate with complex probability amplitudes, mental
wave functions. Since the mathematical formalism of QM describes as well (under
some generalization) processing of such quantum-like (QL) mental states, the
conventional quantum decision-making scheme can be used by the brain. We
consider a modification of this scheme to describe decision-making in the
presence of two ``incompatible'' mental variables. Such a QL decision-making
can be used in situations like Prisoners Dilemma (PD) as well as others
corresponding to so called disjunction effect in psychology and cognitive
science.
| physics.gen-ph | we consider the following model of decisionmaking by cognitive systems we present an algorithm quantumlike representation algorithm qlra which provides a possibility to represent probabilistic data of any origin by complex probability amplitudes our conjecture is that cognitive systems developed the ability to use qlra they operate with complex probability amplitudes mental wave functions since the mathematical formalism of qm describes as well under some generalization processing of such quantumlike ql mental states the conventional quantum decisionmaking scheme can be used by the brain we consider a modification of this scheme to describe decisionmaking in the presence of two incompatible mental variables such a ql decisionmaking can be used in situations like prisoners dilemma pd as well as others corresponding to so called disjunction effect in psychology and cognitive science | [['we', 'consider', 'the', 'following', 'model', 'of', 'decisionmaking', 'by', 'cognitive', 'systems', 'we', 'present', 'an', 'algorithm', 'quantumlike', 'representation', 'algorithm', 'qlra', 'which', 'provides', 'a', 'possibility', 'to', 'represent', 'probabilistic', 'data', 'of', 'any', 'origin', 'by', 'complex', 'probability', 'amplitudes', 'our', 'conjecture', 'is', 'that', 'cognitive', 'systems', 'developed', 'the', 'ability', 'to', 'use', 'qlra', 'they', 'operate', 'with', 'complex', 'probability', 'amplitudes', 'mental', 'wave', 'functions', 'since', 'the', 'mathematical', 'formalism', 'of', 'qm', 'describes', 'as', 'well', 'under', 'some', 'generalization', 'processing', 'of', 'such', 'quantumlike', 'ql', 'mental', 'states', 'the', 'conventional', 'quantum', 'decisionmaking', 'scheme', 'can', 'be', 'used', 'by', 'the', 'brain', 'we', 'consider', 'a', 'modification', 'of', 'this', 'scheme', 'to', 'describe', 'decisionmaking', 'in', 'the', 'presence', 'of', 'two', 'incompatible', 'mental', 'variables', 'such', 'a', 'ql', 'decisionmaking', 'can', 'be', 'used', 'in', 'situations', 'like', 'prisoners', 'dilemma', 'pd', 'as', 'well', 'as', 'others', 'corresponding', 'to', 'so', 'called', 'disjunction', 'effect', 'in', 'psychology', 'and', 'cognitive', 'science']] | [-0.08296926505863667, 0.08320690388444256, -0.11714401786717085, 0.13595725369568054, -0.10647462522790123, -0.17964834347009084, 0.03773431387873223, 0.36851812819592084, -0.2776255386380049, -0.2937567228881212, 0.027898527492876524, -0.19156970295231215, -0.2884768246458127, 0.14473474723322746, -0.13568079995994384, 0.08928365101321385, 0.024159215945893757, 0.06428855624623024, 0.011312343522709293, -0.19371747137763753, 0.3200525460617008, 0.033674292226071253, 0.2880920874384733, -0.013683951295500334, 0.07329733598923598, 0.06788518396564401, 0.007977352040604903, 0.01863422872713552, -0.05704879120485902, 0.10205148104712582, 0.3525350597113944, 0.25780824687905035, 0.3386638843920082, -0.4660563262179494, -0.25839224804658445, 0.0958259503572033, 0.12539711439122375, 0.09063967385669597, 0.03226313512915602, -0.334532504192052, 0.02706666632483785, -0.21318084059211498, -0.11762576246311744, -0.11534938507785018, -0.030629760121855025, -0.035231517799771746, -0.26032505738907136, 0.038591980185503, 0.06674381474821041, 0.08116793935601331, -0.03632658895355864, -0.09633340177197869, 0.04213858724822505, 0.13202847488081226, 0.005416571545020605, 0.013680699046772833, 0.14573608234238167, -0.14448197732787005, -0.2549942567299765, 0.3985775690848151, 0.007069615439440196, -0.24215978690637993, 0.19784293096834937, -0.10324984336665903, -0.1629306978259522, 0.05411628157330247, 0.17709295778141285, 0.05720811102790042, -0.15130727734560004, 0.048779366827623634, -0.024890408156184443, 0.16044831038810886, 0.05857182806715942, 0.0516634208150208, 0.1749139083083719, 0.1809976917010947, 0.01177924176534781, 0.09214238746342464, -0.026849400302251945, -0.14811270748480007, -0.26098563266344943, -0.17090621320511182, -0.14037068312665305, 0.06986999754120077, -0.04144840417776812, -0.13881399816331955, 0.3380131392938403, 0.17232368545463453, 0.15085687201040296, 0.07370710076916462, 0.2738145790421046, 0.12886063360447925, 0.04828327872002354, 0.044295400828839496, 0.1449460147483758, 0.10498915553773538, 0.1218188175645012, -0.20582797199648878, 0.12496430039083442, 0.02048995326488064] |
711.1367 | Femtosecond induced transparency and absorption in the extreme
ultraviolet by coherent coupling of the He 2s2p (1P0) and 2p2 (1Se) double
excitation states with 800 nm light | Femtosecond high-order harmonic transient absorption spectroscopy is used to
observe electromagnetically induced transparency-like behavior as well as
induced absorption in the extreme ultraviolet by laser dressing of the He 2s2p
(1Po) and 2p2 (1Se) double excitation states with an intense 800 nm field.
Probing in the vicinity of the 1s2 \to 2s2p transition at 60.15 eV reveals the
formation of an Autler-Townes doublet due to coherent coupling of the double
excitation states. Qualitative agreement with the experimental spectra is
obtained only when optical field ionization of both double excitation states
into the N = 2 continuum is included in the theoretical model. Because the Fano
q-parameter of the unperturbed probe transition is finite, the laser-dressed He
atom exhibits both enhanced transparency and absorption at negative and
positive probe energy detunings, respectively.
| physics.atom-ph physics.chem-ph | femtosecond highorder harmonic transient absorption spectroscopy is used to observe electromagnetically induced transparencylike behavior as well as induced absorption in the extreme ultraviolet by laser dressing of the he 2s2p 1po and 2p2 1se double excitation states with an intense 800 nm field probing in the vicinity of the 1s2 to 2s2p transition at 6015 ev reveals the formation of an autlertownes doublet due to coherent coupling of the double excitation states qualitative agreement with the experimental spectra is obtained only when optical field ionization of both double excitation states into the n 2 continuum is included in the theoretical model because the fano qparameter of the unperturbed probe transition is finite the laserdressed he atom exhibits both enhanced transparency and absorption at negative and positive probe energy detunings respectively | [['femtosecond', 'highorder', 'harmonic', 'transient', 'absorption', 'spectroscopy', 'is', 'used', 'to', 'observe', 'electromagnetically', 'induced', 'transparencylike', 'behavior', 'as', 'well', 'as', 'induced', 'absorption', 'in', 'the', 'extreme', 'ultraviolet', 'by', 'laser', 'dressing', 'of', 'the', 'he', '2s2p', '1po', 'and', '2p2', '1se', 'double', 'excitation', 'states', 'with', 'an', 'intense', '800', 'nm', 'field', 'probing', 'in', 'the', 'vicinity', 'of', 'the', '1s2', 'to', '2s2p', 'transition', 'at', '6015', 'ev', 'reveals', 'the', 'formation', 'of', 'an', 'autlertownes', 'doublet', 'due', 'to', 'coherent', 'coupling', 'of', 'the', 'double', 'excitation', 'states', 'qualitative', 'agreement', 'with', 'the', 'experimental', 'spectra', 'is', 'obtained', 'only', 'when', 'optical', 'field', 'ionization', 'of', 'both', 'double', 'excitation', 'states', 'into', 'the', 'n', '2', 'continuum', 'is', 'included', 'in', 'the', 'theoretical', 'model', 'because', 'the', 'fano', 'qparameter', 'of', 'the', 'unperturbed', 'probe', 'transition', 'is', 'finite', 'the', 'laserdressed', 'he', 'atom', 'exhibits', 'both', 'enhanced', 'transparency', 'and', 'absorption', 'at', 'negative', 'and', 'positive', 'probe', 'energy', 'detunings', 'respectively']] | [-0.08948757796541087, 0.22227915132967863, -0.017037072246027893, 0.07110103095210223, 0.0451489354649833, -0.17958713263677534, 0.03396071827349564, 0.43792710458325557, -0.21012982834480673, -0.2976836420382669, -0.049148047349213575, -0.3242521579991015, -0.022468890126635745, 0.1430563558427285, 0.06360700988217957, -0.016296636082174243, 0.0012403116146348012, 0.00011948197935671769, 0.016938226173862873, -0.11070775034541423, 0.3134330816805189, 0.0718987872968464, 0.2675382265128022, 0.13153537630117967, 0.03585740580952676, 0.0039057378285355113, 0.08506585311779911, -0.07849510758212774, -0.11181525302470605, 0.052941108938954526, 0.24834455713961823, -0.010033675617458977, 0.22524093524300198, -0.36907628017600425, -0.18106346235560009, 0.03927895772837593, 0.15305123204214666, 0.15097106030109778, -0.06359817951109058, -0.33756965817522633, -0.03681299310220882, -0.10047839785196869, -0.16051192626775812, -0.04711412271672441, 0.007805557991919476, 0.016195398479223598, -0.29463079173745976, 0.04037014646239059, 0.0017933446973518923, 0.07929209447935108, -0.06968389344710745, -0.08229395239108582, -0.09861522521679253, 0.034193859651527735, -0.0403059322112637, 0.01360854351542919, 0.16195916469186786, -0.13909718565924398, -0.10398337496949951, 0.3707781714466653, -0.1918914336296044, 0.02950102719658798, 0.12368856610860242, -0.22405600363330902, -0.035667443845616, 0.2737141763141682, 0.05510347360084483, 0.1401906697541591, -0.040129557532252016, 0.06360685385541644, 0.020880190139390933, 0.20255634791484867, 0.1625542742355416, 0.13329004332040348, 0.17958510737837285, 0.11603704223214367, -0.005033578131665555, 0.12919312493168106, -0.15263743772236413, -0.05926993747184039, -0.2807214004673468, -0.0735558891098571, -0.14741290739715793, 0.10960262478148752, -0.020404469877456193, -0.1486498128384525, 0.3945386411347824, 0.056710995401638424, 0.18578694766033585, -0.09242705769057191, 0.2892621764624419, 0.20049628831063535, -0.0010043154398426991, -0.03403129164750377, 0.34301275269727605, 0.23744009966716575, 0.08119377201466366, -0.364806315316566, 0.0070448601004747, -0.014821545928427878] |
711.1368 | Bohr's complementarity relation and the violation of the CP symmetry in
high energy physics | We test Bohr's complementary relation, which captures the most
counterintuitive difference of a classical and a quantum world, for single and
bipartite neutral kaons. They present a system that is naturally interfering,
oscillating and decaying. Moreover, kaons break the CP symmetry (C...charge
conjugation, P...parity). In detail we discuss the effect of the CP violation
on Bohr's relation, i.e. the effect on the "particle-like" information and the
"wave-like" information. Further we show that the quantity that complements the
single partite information for bipartite kaons is indeed concurrence, a measure
of entanglement, strengthening our concept of entanglement. We find that the
defined entanglement measure is independent of CP violation while it has been
shown that nonlocality is sensitive to CP violation.
| quant-ph hep-th | we test bohrs complementary relation which captures the most counterintuitive difference of a classical and a quantum world for single and bipartite neutral kaons they present a system that is naturally interfering oscillating and decaying moreover kaons break the cp symmetry ccharge conjugation pparity in detail we discuss the effect of the cp violation on bohrs relation ie the effect on the particlelike information and the wavelike information further we show that the quantity that complements the single partite information for bipartite kaons is indeed concurrence a measure of entanglement strengthening our concept of entanglement we find that the defined entanglement measure is independent of cp violation while it has been shown that nonlocality is sensitive to cp violation | [['we', 'test', 'bohrs', 'complementary', 'relation', 'which', 'captures', 'the', 'most', 'counterintuitive', 'difference', 'of', 'a', 'classical', 'and', 'a', 'quantum', 'world', 'for', 'single', 'and', 'bipartite', 'neutral', 'kaons', 'they', 'present', 'a', 'system', 'that', 'is', 'naturally', 'interfering', 'oscillating', 'and', 'decaying', 'moreover', 'kaons', 'break', 'the', 'cp', 'symmetry', 'ccharge', 'conjugation', 'pparity', 'in', 'detail', 'we', 'discuss', 'the', 'effect', 'of', 'the', 'cp', 'violation', 'on', 'bohrs', 'relation', 'ie', 'the', 'effect', 'on', 'the', 'particlelike', 'information', 'and', 'the', 'wavelike', 'information', 'further', 'we', 'show', 'that', 'the', 'quantity', 'that', 'complements', 'the', 'single', 'partite', 'information', 'for', 'bipartite', 'kaons', 'is', 'indeed', 'concurrence', 'a', 'measure', 'of', 'entanglement', 'strengthening', 'our', 'concept', 'of', 'entanglement', 'we', 'find', 'that', 'the', 'defined', 'entanglement', 'measure', 'is', 'independent', 'of', 'cp', 'violation', 'while', 'it', 'has', 'been', 'shown', 'that', 'nonlocality', 'is', 'sensitive', 'to', 'cp', 'violation']] | [-0.16465576095171114, 0.20347587122597685, -0.12455928212789408, 0.13638266031156784, -0.07533338058037463, -0.19899283639171114, 0.04348856927945389, 0.2901565781577443, -0.245620027465659, -0.25845043049430694, 0.012626886040256437, -0.3351799124551905, -0.12196289727432748, 0.11723325963495142, -0.028925932398247454, 0.05489931298618134, 0.036801745652386884, 0.05515710988389802, -0.06850064340959129, -0.18795274258630698, 0.33478643458683865, 0.0005784794260053185, 0.31493850132071616, 0.1498644598483471, 0.06866643036778827, 0.011778276833958165, -0.013132656074989334, 0.06600279798257654, -0.10570983310834105, 0.0633832739145195, 0.17761615492892846, 0.19288726016859103, 0.16354061949650867, -0.3352198807712076, -0.17672910975387035, 0.17574890556161182, 0.14282061873887808, 0.13141965033522002, -0.05964683499226694, -0.3450193650531188, 0.004294970956773071, -0.1482809457209719, -0.09168213031302064, -0.09890087795053151, 0.051342097963443245, -0.0730406944329211, -0.27767175417077744, 0.12875758927568035, 0.07453555839483515, 0.052032061539771884, 0.057799862618794884, -0.05159340312968845, -0.009900274678622768, 0.09791187658684991, 0.05248460670838417, 0.0015838949850334203, 0.13105652565126685, -0.097785843567828, -0.16643214754570843, 0.3961393377601595, -0.03769290437764031, -0.21133304935074965, 0.15301732533271978, -0.19247359817579263, -0.16749473425985897, 0.06088741147945935, 0.09252701045736134, 0.06384568974786138, -0.1577337921214274, 0.04004745970882665, -0.13704881192011348, 0.20373414239009557, 0.08973859199243835, 0.16004661795430644, 0.205137398362286, 0.11860580062020128, 0.09889057872548573, 0.15377375429843443, -0.04676391589909129, -0.11306856082894413, -0.347472544577983, -0.22899246059547543, -0.1980903047665764, 0.08150528102000323, -0.07485607915244191, -0.08001093754334715, 0.38664887349863175, 0.1227747829274819, 0.1360204849859317, 0.019358074080427886, 0.27491820072439516, 0.08193456430641255, 0.05225593994679403, 0.04651896125179226, 0.30581839006173156, 0.15717666749684614, 0.116919981483449, -0.31531787051629845, 0.07832626125901558, 0.00481649591603269] |
711.1369 | Pattern recognition on random trees associated to protein functionality
families | In this paper, we address the problem of identifying protein functionality
using the information contained in its aminoacid sequence. We propose a method
to define sequence similarity relationships that can be used as input for
classification and clustering via well known metric based statistical methods.
In our examples, we specifically address two problems of supervised and
unsupervised learning in structural genomics via simple metric based techniques
on the space of trees 1)Unsupervised detection of functionality families via K
means clustering in the space of trees, 2)Classification of new proteins into
known families via k nearest neighbour trees. We found evidence that the
similarity measure induced by our approach concentrates information for
discrimination. Classification has the same high performance than others VLMC
approaches. Clustering is a harder task, though, but our approach for
clustering is alignment free and automatic, and may lead to many interesting
variations by choosing other clustering or classification procedures that are
based on pre-computed similarity information, as the ones that performs
clustering using flow simulation, see (Yona et al 2000, Enright et al, 2003).
| stat.AP | in this paper we address the problem of identifying protein functionality using the information contained in its aminoacid sequence we propose a method to define sequence similarity relationships that can be used as input for classification and clustering via well known metric based statistical methods in our examples we specifically address two problems of supervised and unsupervised learning in structural genomics via simple metric based techniques on the space of trees 1unsupervised detection of functionality families via k means clustering in the space of trees 2classification of new proteins into known families via k nearest neighbour trees we found evidence that the similarity measure induced by our approach concentrates information for discrimination classification has the same high performance than others vlmc approaches clustering is a harder task though but our approach for clustering is alignment free and automatic and may lead to many interesting variations by choosing other clustering or classification procedures that are based on precomputed similarity information as the ones that performs clustering using flow simulation see yona et al 2000 enright et al 2003 | [['in', 'this', 'paper', 'we', 'address', 'the', 'problem', 'of', 'identifying', 'protein', 'functionality', 'using', 'the', 'information', 'contained', 'in', 'its', 'aminoacid', 'sequence', 'we', 'propose', 'a', 'method', 'to', 'define', 'sequence', 'similarity', 'relationships', 'that', 'can', 'be', 'used', 'as', 'input', 'for', 'classification', 'and', 'clustering', 'via', 'well', 'known', 'metric', 'based', 'statistical', 'methods', 'in', 'our', 'examples', 'we', 'specifically', 'address', 'two', 'problems', 'of', 'supervised', 'and', 'unsupervised', 'learning', 'in', 'structural', 'genomics', 'via', 'simple', 'metric', 'based', 'techniques', 'on', 'the', 'space', 'of', 'trees', '1unsupervised', 'detection', 'of', 'functionality', 'families', 'via', 'k', 'means', 'clustering', 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711.137 | The Spatial Distribution of Hard X-Ray Spectral Index and Local Magnetic
Reconnection Rate | The rare phenomenon of ribbon-like hard X-ray (HXR) sources up to 100 keV
found in the 2005 May 13 M8.0 flare observed with the \textit{Reuven Ramaty
High Energy Solar Spectroscopic Imager} provides detailed information on the
spatial distribution of flare HXR emission. In this Letter, we further
investigate the characteristics of HXR emission in this event using imaging
spectroscopy, from which we obtain spatially resolved HXR spectral maps during
the flare impulsive phase. As a result we found, along a flare ribbon, an
anticorrelation relationship between the local HXR flux and the local HXR
spectral index. We suggest that this can be regarded as a spatial analog of the
well-known temporal soft-hard-soft spectral evolution pattern of the integrated
HXR flux. We also found an anticorrelation between HXR spectral index and local
electric field along the ribbon, which suggests the electron acceleration by
the electric field during flares.
| astro-ph | the rare phenomenon of ribbonlike hard xray hxr sources up to 100 kev found in the 2005 may 13 m80 flare observed with the textitreuven ramaty high energy solar spectroscopic imager provides detailed information on the spatial distribution of flare hxr emission in this letter we further investigate the characteristics of hxr emission in this event using imaging spectroscopy from which we obtain spatially resolved hxr spectral maps during the flare impulsive phase as a result we found along a flare ribbon an anticorrelation relationship between the local hxr flux and the local hxr spectral index we suggest that this can be regarded as a spatial analog of the wellknown temporal softhardsoft spectral evolution pattern of the integrated hxr flux we also found an anticorrelation between hxr spectral index and local electric field along the ribbon which suggests the electron acceleration by the electric field during flares | [['the', 'rare', 'phenomenon', 'of', 'ribbonlike', 'hard', 'xray', 'hxr', 'sources', 'up', 'to', '100', 'kev', 'found', 'in', 'the', '2005', 'may', '13', 'm80', 'flare', 'observed', 'with', 'the', 'textitreuven', 'ramaty', 'high', 'energy', 'solar', 'spectroscopic', 'imager', 'provides', 'detailed', 'information', 'on', 'the', 'spatial', 'distribution', 'of', 'flare', 'hxr', 'emission', 'in', 'this', 'letter', 'we', 'further', 'investigate', 'the', 'characteristics', 'of', 'hxr', 'emission', 'in', 'this', 'event', 'using', 'imaging', 'spectroscopy', 'from', 'which', 'we', 'obtain', 'spatially', 'resolved', 'hxr', 'spectral', 'maps', 'during', 'the', 'flare', 'impulsive', 'phase', 'as', 'a', 'result', 'we', 'found', 'along', 'a', 'flare', 'ribbon', 'an', 'anticorrelation', 'relationship', 'between', 'the', 'local', 'hxr', 'flux', 'and', 'the', 'local', 'hxr', 'spectral', 'index', 'we', 'suggest', 'that', 'this', 'can', 'be', 'regarded', 'as', 'a', 'spatial', 'analog', 'of', 'the', 'wellknown', 'temporal', 'softhardsoft', 'spectral', 'evolution', 'pattern', 'of', 'the', 'integrated', 'hxr', 'flux', 'we', 'also', 'found', 'an', 'anticorrelation', 'between', 'hxr', 'spectral', 'index', 'and', 'local', 'electric', 'field', 'along', 'the', 'ribbon', 'which', 'suggests', 'the', 'electron', 'acceleration', 'by', 'the', 'electric', 'field', 'during', 'flares']] | [-0.06500155571130525, 0.17234175048680012, -0.06517662346835108, 0.19764926958245493, -0.050758655757120213, -0.07136218247565199, -0.0009977758849320346, 0.5563612106967437, -0.2338639375154082, -0.43296110050829306, 0.021927376670845822, -0.2612609712228383, -0.08559684082865715, 0.21764627625816502, -0.048393165042037015, -0.018889727915337384, 0.07002550887250125, -0.07084696528769724, -0.028728953553905888, -0.12895542479754898, 0.23392567634965256, 0.1536139112489365, 0.23547836739493355, 0.043477484879836645, 0.05574448194916118, -0.05699099263348553, -0.065720272454599, -0.006698271256476028, -0.0810796424401354, 0.0713351129311813, 0.17409974652859192, 0.08204036696825164, 0.1717454866053256, -0.40551112964749336, -0.25978929502251624, 0.028296425367692765, 0.17755077064853825, -0.07523318507317103, -0.01763314614949544, -0.26139122940446824, -0.006926721643276947, -0.10000213796802325, -0.12140206686039264, 0.08613464199899606, -0.0013567638337892824, 0.0378391396011902, -0.23654186185002837, 0.14505757576262113, 0.029963701684346856, 0.10161936707309868, -0.14531716910088818, 0.036943577832784756, -0.04534681169762697, 0.07431117545060609, 0.07331520787835734, 0.04238668335633582, 0.1404774448234741, -0.05021817002872847, -0.1540338888234931, 0.2975422573684115, -0.0929705643036071, 0.07901979826698925, 0.1311036640114776, -0.2394083650465353, -0.18770758309784308, 0.23181534925960515, 0.08241316116708394, 0.06216358377483405, -0.15442044750391826, -0.021150002009649952, 0.018026797429416073, 0.24387266018670306, 0.09539239296421714, 0.07307215955479976, 0.2879123631609629, 0.06939547663005961, 0.04512654648207077, 0.22261308659145557, -0.30900774525011226, -0.004446932816342132, -0.2928024561436247, -0.10928349310774611, -0.1379806532696757, 0.10866074358935991, -0.10966265889834326, -0.2260532090085565, 0.4679134608890657, 0.13382230888596058, 0.2120064763919999, -0.0485356340857784, 0.2751725673650021, 0.1463503435697432, 0.010727359686837825, 0.12813432624066018, 0.2819088321077089, 0.19879230814316143, 0.2572068133716765, -0.25227440219238556, 0.00721400349770915, 0.021617342794492636] |
711.1371 | An Indefinite Convection-Diffusion Operator With Real Spectrum | We confirm rigorously the conjecture, based on numerical and asymptotic
evidence, that all the eigenvalues of a certain non-self-adjoint operator are
real.
| math.SP math.CA | we confirm rigorously the conjecture based on numerical and asymptotic evidence that all the eigenvalues of a certain nonselfadjoint operator are real | [['we', 'confirm', 'rigorously', 'the', 'conjecture', 'based', 'on', 'numerical', 'and', 'asymptotic', 'evidence', 'that', 'all', 'the', 'eigenvalues', 'of', 'a', 'certain', 'nonselfadjoint', 'operator', 'are', 'real']] | [-0.1547933260656216, 0.037423629948700014, -0.12576774067499422, 0.09717593109235168, -0.06618731424466452, -0.08689996466802602, 0.024066773158582775, 0.3406417447734963, -0.14786556515504012, -0.1887276540087028, 0.18489733336239375, -0.31491329695563763, -0.2939822126857259, 0.22674184360287405, -0.017861452165313742, 0.15475482591004533, 0.1599951628807255, 0.062468185597522694, -0.05449114211792634, -0.2451426639136943, 0.4095789540389722, -0.033796249465508896, 0.22727453576358544, 0.18251141092993997, 0.047217700122432274, -0.04128416052977131, -0.029319415080615065, -0.02569522132927721, -0.1243685739745243, 0.10066691040992737, 0.19416017745706168, 0.09751096204854548, 0.30237664468586445, -0.41984971714290703, -0.13798981144050645, 0.1686624588698826, 0.17239384185946124, 0.05997750031846491, -0.052790484036615286, -0.31518578402359376, 0.18415068398991769, -0.14377899662676183, -0.18845953584902667, -0.13263296979394826, -0.014980090189386498, 0.03934024909341877, -0.3237822016023777, 0.11346186562017961, 0.06733154573223808, 0.10986662126908248, -0.14925461896928027, -0.10678090381605382, -0.03307782634246079, 0.08955530648712408, 0.04843085707927292, -0.1853809915482998, -0.004340547031130303, 0.021846109281548044, -0.10946129728108644, 0.2698548161848025, -0.020029506900093773, -0.2294321491975676, 0.14584497498898683, -0.2324129965325648, -0.15895934282294052, 0.04981947554783388, 0.08893292407843877, 0.1909241717816754, -0.05724438521164385, 0.1692698003528428, -0.17931875891306184, 0.08629083320159804, 0.06217088416980749, -0.003130876353349198, 0.11375922612337903, 0.029911989684809338, 0.06753602509640834, 0.1052548099012876, 0.009609909188425676, -0.12225897688503293, -0.40286528115922754, -0.16105928246609189, -0.25351477277316997, 0.08182666736485605, -0.19505639723435955, -0.21866922419179569, 0.4052423912693154, 0.19880297026512297, 0.20943100699646908, 0.15504835651848803, 0.2392317722974853, 0.2168792616152628, -0.01924133774909106, 0.11030200250785459, 0.2098988089710474, 0.21654754724692216, 0.025227224475450137, -0.24502189622514628, 0.010665849592028693, 0.13780390268022363] |
711.1372 | Searching for the Precursors of Life in External Galaxies | Are the organic molecules crucial for life on Earth abundant in early-epoch
galaxies? To address this, we searched for organic molecules in extragalactic
sources via their absorption features, known as diffuse interstellar bands
(DIBs). There is strong evidence that DIBs are associated with polycyclic
aromatic hydrocarbons (PAHs) and carbon chains. Galaxies with a preponderance
of DIBs may be the most likely places in which to expect life.
We use the method of quasar absorption lines to probe intervening early-epoch
galaxies for the DIBs. We present the equivalent width measurements of DIBs in
one neutral hydrogen (HI) abundant galaxy and limits for five DIB bands in six
other HI-rich galaxies (damped Lyman-alpha systems--DLAs). Our results reveal
that HI-rich galaxies are dust poor and have significantly lower reddening than
known DIB-rich Milky Way environments. We find that DIBs in HI-rich galaxies do
not show the same correlation with hydrogen abundance as observed in the Milky
Way; the extragalactic DIBs are underabundant by as much as 10 times. The lower
limit gas-to-dust ratios of four of the HI-rich early epoch galaxies are much
higher than the gas-to-dust ratios found in the Milky Way. Our results suggest
that the organic molecules responsible for the DIBs are underabundant in
HI-rich early epoch galaxies relative to the Milky Way.
| astro-ph | are the organic molecules crucial for life on earth abundant in earlyepoch galaxies to address this we searched for organic molecules in extragalactic sources via their absorption features known as diffuse interstellar bands dibs there is strong evidence that dibs are associated with polycyclic aromatic hydrocarbons pahs and carbon chains galaxies with a preponderance of dibs may be the most likely places in which to expect life we use the method of quasar absorption lines to probe intervening earlyepoch galaxies for the dibs we present the equivalent width measurements of dibs in one neutral hydrogen hi abundant galaxy and limits for five dib bands in six other hirich galaxies damped lymanalpha systemsdlas our results reveal that hirich galaxies are dust poor and have significantly lower reddening than known dibrich milky way environments we find that dibs in hirich galaxies do not show the same correlation with hydrogen abundance as observed in the milky way the extragalactic dibs are underabundant by as much as 10 times the lower limit gastodust ratios of four of the hirich early epoch galaxies are much higher than the gastodust ratios found in the milky way our results suggest that the organic molecules responsible for the dibs are underabundant in hirich early epoch galaxies relative to the milky way | [['are', 'the', 'organic', 'molecules', 'crucial', 'for', 'life', 'on', 'earth', 'abundant', 'in', 'earlyepoch', 'galaxies', 'to', 'address', 'this', 'we', 'searched', 'for', 'organic', 'molecules', 'in', 'extragalactic', 'sources', 'via', 'their', 'absorption', 'features', 'known', 'as', 'diffuse', 'interstellar', 'bands', 'dibs', 'there', 'is', 'strong', 'evidence', 'that', 'dibs', 'are', 'associated', 'with', 'polycyclic', 'aromatic', 'hydrocarbons', 'pahs', 'and', 'carbon', 'chains', 'galaxies', 'with', 'a', 'preponderance', 'of', 'dibs', 'may', 'be', 'the', 'most', 'likely', 'places', 'in', 'which', 'to', 'expect', 'life', 'we', 'use', 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711.1373 | Partition Polynomials: Asymptotics and Zeros | Let $F_n(x)$ be the partition polynomial $\sum_{k=1}^n p_k(n) x^k$ where
$p_k(n)$ is the number of partitions of $n$ with $k$ parts. We emphasize the
computational experiments using degrees up to $70,000$ to discover the
asymptotics of these polynomials. Surprisingly, the asymptotics of $F_n(x)$
have two scales of orders $n$ and $\sqrt{n}$ and in three different regimes
inside the unit disk. Consequently, the zeros converge to network of curves
inside the unit disk given in terms of the dilogarithm.
| math.CO math.NT | let f_nx be the partition polynomial sum_k1n p_kn xk where p_kn is the number of partitions of n with k parts we emphasize the computational experiments using degrees up to 70000 to discover the asymptotics of these polynomials surprisingly the asymptotics of f_nx have two scales of orders n and sqrtn and in three different regimes inside the unit disk consequently the zeros converge to network of curves inside the unit disk given in terms of the dilogarithm | [['let', 'f_nx', 'be', 'the', 'partition', 'polynomial', 'sum_k1n', 'p_kn', 'xk', 'where', 'p_kn', 'is', 'the', 'number', 'of', 'partitions', 'of', 'n', 'with', 'k', 'parts', 'we', 'emphasize', 'the', 'computational', 'experiments', 'using', 'degrees', 'up', 'to', '70000', 'to', 'discover', 'the', 'asymptotics', 'of', 'these', 'polynomials', 'surprisingly', 'the', 'asymptotics', 'of', 'f_nx', 'have', 'two', 'scales', 'of', 'orders', 'n', 'and', 'sqrtn', 'and', 'in', 'three', 'different', 'regimes', 'inside', 'the', 'unit', 'disk', 'consequently', 'the', 'zeros', 'converge', 'to', 'network', 'of', 'curves', 'inside', 'the', 'unit', 'disk', 'given', 'in', 'terms', 'of', 'the', 'dilogarithm']] | [-0.19576201726419803, 0.12611219498555726, -0.055211665944602244, -0.01046670292569802, -0.00712753852041295, -0.09837637648869975, 0.030826713752526887, 0.2820774029271725, -0.29681200589029455, -0.2801234643273533, 0.06875288199024418, -0.3550085995453768, -0.0950925358487532, 0.17385167590318581, -0.013608210791762058, 0.033198049530769005, -0.027622293883886855, 0.05713792093574272, -0.05332188818078393, -0.3621450475214097, 0.27994820260657716, -0.04808610863983631, 0.1642413694315996, 0.015643632505089045, 0.08868399443151877, -0.05480611025212476, 0.011321589828301698, -0.032364155074808366, -0.1597621097880153, 0.10428204122954646, 0.29674029517142725, 0.10544193408583315, 0.25255069478104514, -0.4238973739556968, -0.10095694806808844, 0.17790776182813808, 0.23932800015721184, -0.07072529034354748, 0.08929665876367392, -0.1886925956186576, 0.1062854785227384, -0.09469175083825412, -0.1639243325409599, -0.04485559419919856, 0.07469918318868925, 0.08717156243988146, -0.3071837622242478, 0.020344461902426794, 0.0429497501359154, 0.09142775185262927, 0.03955292474263562, -0.20356183351041415, 0.013000889173828257, 0.12653013504444596, 0.04571790049652545, 0.07134102401920618, 0.060489836536968745, -0.11652151575216498, -0.08947025468716255, 0.35127322029513425, -0.03306620291028267, -0.21503189504624176, 0.10662883475351219, -0.26400933757376593, -0.13573925986957663, 0.14074325897038364, 0.13734103672397444, 0.15814859520357388, -0.034450341457835376, 0.1596077059929928, -0.09846125184916533, 0.13456459639546198, 0.16260987892448425, 0.04826041155208189, 0.16289581487982127, 0.057293548732279584, 0.02543152947253428, 0.1891294676117981, -0.07402631031492582, -0.09094981759643325, -0.3166228612431158, -0.15802158108458686, -0.2221214219283026, 0.09329194539728072, -0.21403690380938292, -0.15591447623685384, 0.3746927841536653, 0.08066452553686805, 0.2647692228739078, 0.14582755768862674, 0.2077228324726606, 0.10063594162989503, 0.0755781553303584, 0.10562004928644268, 0.06716070822678888, 0.14092336025518867, 0.0025725426101603378, -0.2106397546027811, 0.01702816886469149, 0.1301825140029765] |
711.1374 | The LHC Inverse Problem, Supersymmetry, and the ILC | We address the question whether the ILC can resolve the LHC Inverse Problem
within the framework of the MSSM. We examine 242 points in the MSSM parameter
space which were generated at random and were found to give indistinguishable
signatures at the LHC. After a realistic simulation including full Standard
Model backgrounds and a fast detector simulation, we find that roughly only one
third of these scenarios lead to visible signatures of some kind with a
significance $\geq 5$ at the ILC with $\sqrt s=500$ GeV. Furthermore, we
examine these points in parameter space pairwise and find that only one third
of the pairs are distinguishable at the ILC at $5\sigma$.
| hep-ph hep-ex | we address the question whether the ilc can resolve the lhc inverse problem within the framework of the mssm we examine 242 points in the mssm parameter space which were generated at random and were found to give indistinguishable signatures at the lhc after a realistic simulation including full standard model backgrounds and a fast detector simulation we find that roughly only one third of these scenarios lead to visible signatures of some kind with a significance geq 5 at the ilc with sqrt s500 gev furthermore we examine these points in parameter space pairwise and find that only one third of the pairs are distinguishable at the ilc at 5sigma | [['we', 'address', 'the', 'question', 'whether', 'the', 'ilc', 'can', 'resolve', 'the', 'lhc', 'inverse', 'problem', 'within', 'the', 'framework', 'of', 'the', 'mssm', 'we', 'examine', '242', 'points', 'in', 'the', 'mssm', 'parameter', 'space', 'which', 'were', 'generated', 'at', 'random', 'and', 'were', 'found', 'to', 'give', 'indistinguishable', 'signatures', 'at', 'the', 'lhc', 'after', 'a', 'realistic', 'simulation', 'including', 'full', 'standard', 'model', 'backgrounds', 'and', 'a', 'fast', 'detector', 'simulation', 'we', 'find', 'that', 'roughly', 'only', 'one', 'third', 'of', 'these', 'scenarios', 'lead', 'to', 'visible', 'signatures', 'of', 'some', 'kind', 'with', 'a', 'significance', 'geq', '5', 'at', 'the', 'ilc', 'with', 'sqrt', 's500', 'gev', 'furthermore', 'we', 'examine', 'these', 'points', 'in', 'parameter', 'space', 'pairwise', 'and', 'find', 'that', 'only', 'one', 'third', 'of', 'the', 'pairs', 'are', 'distinguishable', 'at', 'the', 'ilc', 'at', '5sigma']] | [-0.07053281352561605, 0.14870723460272356, -0.029837054240324342, 0.12790912297881535, -0.020494083806805244, -0.16791583310292513, 0.015059963183326495, 0.37232750927744146, -0.253574217560592, -0.32527129939413285, 0.0725628706597228, -0.3222238791871581, -0.05264492493609453, 0.19284507268955847, 0.04077369112496239, 0.03327679621508798, 0.0817349079811761, 0.017234708631394414, -0.08228299963950843, -0.2823279917351314, 0.2803539917930155, 0.06589052928947248, 0.17980590237824767, 0.04253821350164241, 0.11748630206545328, -0.016334906732243998, -0.032381456408246946, -0.02966640148834149, -0.13391113316345024, 0.04524632079237317, 0.25135601478049885, 0.11326316529297614, 0.21401042406036108, -0.34345082364775037, -0.15697612289154717, 0.18904206689514286, 0.10667680705654191, 0.09341529279691377, -0.017371443310030946, -0.2831143471538215, 0.1591599374109678, -0.16380707339199074, -0.12764592502719244, -0.016526736251942745, -0.04134093576555585, -0.0732196325620821, -0.26901475934685115, 0.07624110557675899, -0.018402376073739818, 0.04806050730382537, 0.0031104941583901375, -0.14041626375369928, -0.0323782627605036, 0.031212640632581605, 0.038097892484107464, -0.0023910378710039564, 0.11981178844045545, -0.14272476909346543, -0.15498193795373244, 0.37260414963705585, -0.028836388367454748, -0.14866285693940814, 0.21281415519099012, -0.2167916172981128, -0.1589252232581268, 0.12490331109713863, 0.2100190776945637, 0.059375255121136304, -0.13190652174153575, 0.11938928414885006, -0.034528729707204005, 0.1821444948237423, 0.08690177061729268, 0.021441736350859608, 0.2391201936144818, 0.16541197446283992, 0.05941823782684567, 0.10865173800974279, -0.1391118311340006, -0.050218917387495704, -0.41892206714161345, -0.08960074225339938, -0.08575328765856521, -0.01401689341543494, -0.06686915147188015, -0.0673210587486759, 0.4155631727195001, 0.1855277894945765, 0.27310832658665135, 0.030921757373295992, 0.26451611339307585, 0.05996427414015875, 0.04219802840285607, 0.06422119813568487, 0.30958763869643957, 0.0073332234185088324, 0.07362534968299908, -0.16358128372948985, -0.005059679701655834, 0.03257562485229862] |
711.1375 | Light curves of five type Ia supernovae at intermediate redshift | We present multi-band light curves and distances for five type Ia supernovae
at intermediate redshifts, 0.18<z<0.27. Three telescopes on the Canary Island
of La Palma, INT, NOT and JKT, were used for discovery and follow-up of type Ia
supernovae in the g' and r' filters. Supernova fluxes were measured by
simultaneously fitting a supernova and host galaxy model to the data, and then
calibrated using star catalogues from the Sloan Digital Sky Survey. The light
curve peak luminosities, corrected for light curve shape and colour, are
consistent with the expectations for a flat LambdaCDM universe at the 1.5-sigma
level. One supernova in the sample, SN1999dr, shows surprisingly large
reddening, considering that it is both located at a significant distance from
the core of its host (~4 times the fitted exponential radius) and that the
galaxy can be spectroscopically classified as early-type with no signs of
ongoing star formation.
| astro-ph | we present multiband light curves and distances for five type ia supernovae at intermediate redshifts 018z027 three telescopes on the canary island of la palma int not and jkt were used for discovery and followup of type ia supernovae in the g and r filters supernova fluxes were measured by simultaneously fitting a supernova and host galaxy model to the data and then calibrated using star catalogues from the sloan digital sky survey the light curve peak luminosities corrected for light curve shape and colour are consistent with the expectations for a flat lambdacdm universe at the 15sigma level one supernova in the sample sn1999dr shows surprisingly large reddening considering that it is both located at a significant distance from the core of its host 4 times the fitted exponential radius and that the galaxy can be spectroscopically classified as earlytype with no signs of ongoing star formation | [['we', 'present', 'multiband', 'light', 'curves', 'and', 'distances', 'for', 'five', 'type', 'ia', 'supernovae', 'at', 'intermediate', 'redshifts', '018z027', 'three', 'telescopes', 'on', 'the', 'canary', 'island', 'of', 'la', 'palma', 'int', 'not', 'and', 'jkt', 'were', 'used', 'for', 'discovery', 'and', 'followup', 'of', 'type', 'ia', 'supernovae', 'in', 'the', 'g', 'and', 'r', 'filters', 'supernova', 'fluxes', 'were', 'measured', 'by', 'simultaneously', 'fitting', 'a', 'supernova', 'and', 'host', 'galaxy', 'model', 'to', 'the', 'data', 'and', 'then', 'calibrated', 'using', 'star', 'catalogues', 'from', 'the', 'sloan', 'digital', 'sky', 'survey', 'the', 'light', 'curve', 'peak', 'luminosities', 'corrected', 'for', 'light', 'curve', 'shape', 'and', 'colour', 'are', 'consistent', 'with', 'the', 'expectations', 'for', 'a', 'flat', 'lambdacdm', 'universe', 'at', 'the', '15sigma', 'level', 'one', 'supernova', 'in', 'the', 'sample', 'sn1999dr', 'shows', 'surprisingly', 'large', 'reddening', 'considering', 'that', 'it', 'is', 'both', 'located', 'at', 'a', 'significant', 'distance', 'from', 'the', 'core', 'of', 'its', 'host', '4', 'times', 'the', 'fitted', 'exponential', 'radius', 'and', 'that', 'the', 'galaxy', 'can', 'be', 'spectroscopically', 'classified', 'as', 'earlytype', 'with', 'no', 'signs', 'of', 'ongoing', 'star', 'formation']] | [-0.0256807087856377, 0.04690754523717573, -0.08810025742277502, 0.12858442929814218, -0.12014848525346868, -0.12471635021462009, 0.06870344631084851, 0.43702828113375036, -0.1506209766524362, -0.3473620737766333, 0.09915311689617048, -0.3605407266074727, -0.004425969373049407, 0.25142089411744784, -0.032348049021073105, -0.05970032777805845, 0.08926460888148446, -0.09395838210776705, -0.047806455172469904, -0.3367648374722821, 0.28681861135530573, 0.06189390351064503, 0.22538458854682616, -0.09879596924152353, 0.08212856720442531, -0.06983332937776014, -0.10855703729622324, -7.663757765087588e-05, -0.16036794380624056, 0.018086160818949856, 0.22319416290315686, 0.15325526639754916, 0.14571092776183425, -0.32814680661916823, -0.20013366610630703, 0.11859525661787082, 0.18947522378173368, 0.05137503185100725, -0.06312123693541849, -0.2921939134340862, 0.06398389697203348, -0.15534845671158862, -0.1806571769078487, 0.10734877265861321, 0.03806634203787765, 0.06836988840509077, -0.1933285014093693, 0.14196994792156178, -0.04263721876938281, 0.12478709992599385, -0.08744116818998009, -0.125203690809551, -0.09600010688320317, 0.06487900414664684, -0.02221676410127688, 0.08006929168578013, 0.0830528676895232, -0.12397728841109522, 0.009237000554928492, 0.4036608390959686, -0.08248795983863288, 0.0675905487323501, 0.15873214330781124, -0.19573551370473258, -0.12199247340382686, 0.11697600968422946, 0.16648110944360237, 0.07046486636431053, -0.19705551960987264, 0.02464146010320762, 0.03695053832428851, 0.1791594965576098, 0.034483415058589185, 0.03958256640607001, 0.3265442223063317, 0.11248156244722034, 0.001303742578702754, 0.0274100062381155, -0.27229286403202546, 0.024693173301759463, -0.3073892031635704, -0.05452117970341752, -0.1644423356616934, 0.08053619823878197, -0.1508595836116001, -0.10610846789425303, 0.3543712830620593, 0.038687619554071594, 0.2009993463529852, 0.06753859803209017, 0.26254592314362524, 0.022612857962316223, 0.14366361294905172, 0.10169907765205075, 0.3335037015539048, 0.12797371814958752, 0.09521706002234513, -0.224459716019317, 0.04593506892500766, 0.03366011989399277] |
711.1376 | A Practical Approach to Coronal Magnetic Field Extrapolation Based on
the Principle of Minimum Dissipation Rate | We present a newly developed approach to solar coronal magnetic field
extrapolation from vector magnetograms, based on the Principle of Minimum
Dissipation Rate (MDR). The MDR system was derived from a variational problem
that is more suitable for an open and externally driven system, like the solar
corona. The resulting magnetic field equation is more general than force-free.
Its solution can be expressed as the superposition of two linear
(constant-$\alpha$) force-free fields (LFFFs) with distinct $\alpha$
parameters, and one potential field. Thus the original extrapolation problem is
decomposed into three LFFF extrapolations, utilizing boundary data. The full
MDR-based approach requires two layers of vector magnetograph measurements on
solar surface, while a slightly modified practical approach only requires one.
We test both approaches against 3D MHD simulation data in a finite volume. Both
yield quantitatively good results. The errors in the magnetic energy estimate
are within a few percents. In particular, the main features of relatively
strong perpendicular current density structures, representative of the
non-force freeness of the solution, are well recovered.
| astro-ph | we present a newly developed approach to solar coronal magnetic field extrapolation from vector magnetograms based on the principle of minimum dissipation rate mdr the mdr system was derived from a variational problem that is more suitable for an open and externally driven system like the solar corona the resulting magnetic field equation is more general than forcefree its solution can be expressed as the superposition of two linear constantalpha forcefree fields lfffs with distinct alpha parameters and one potential field thus the original extrapolation problem is decomposed into three lfff extrapolations utilizing boundary data the full mdrbased approach requires two layers of vector magnetograph measurements on solar surface while a slightly modified practical approach only requires one we test both approaches against 3d mhd simulation data in a finite volume both yield quantitatively good results the errors in the magnetic energy estimate are within a few percents in particular the main features of relatively strong perpendicular current density structures representative of the nonforce freeness of the solution are well recovered | [['we', 'present', 'a', 'newly', 'developed', 'approach', 'to', 'solar', 'coronal', 'magnetic', 'field', 'extrapolation', 'from', 'vector', 'magnetograms', 'based', 'on', 'the', 'principle', 'of', 'minimum', 'dissipation', 'rate', 'mdr', 'the', 'mdr', 'system', 'was', 'derived', 'from', 'a', 'variational', 'problem', 'that', 'is', 'more', 'suitable', 'for', 'an', 'open', 'and', 'externally', 'driven', 'system', 'like', 'the', 'solar', 'corona', 'the', 'resulting', 'magnetic', 'field', 'equation', 'is', 'more', 'general', 'than', 'forcefree', 'its', 'solution', 'can', 'be', 'expressed', 'as', 'the', 'superposition', 'of', 'two', 'linear', 'constantalpha', 'forcefree', 'fields', 'lfffs', 'with', 'distinct', 'alpha', 'parameters', 'and', 'one', 'potential', 'field', 'thus', 'the', 'original', 'extrapolation', 'problem', 'is', 'decomposed', 'into', 'three', 'lfff', 'extrapolations', 'utilizing', 'boundary', 'data', 'the', 'full', 'mdrbased', 'approach', 'requires', 'two', 'layers', 'of', 'vector', 'magnetograph', 'measurements', 'on', 'solar', 'surface', 'while', 'a', 'slightly', 'modified', 'practical', 'approach', 'only', 'requires', 'one', 'we', 'test', 'both', 'approaches', 'against', '3d', 'mhd', 'simulation', 'data', 'in', 'a', 'finite', 'volume', 'both', 'yield', 'quantitatively', 'good', 'results', 'the', 'errors', 'in', 'the', 'magnetic', 'energy', 'estimate', 'are', 'within', 'a', 'few', 'percents', 'in', 'particular', 'the', 'main', 'features', 'of', 'relatively', 'strong', 'perpendicular', 'current', 'density', 'structures', 'representative', 'of', 'the', 'nonforce', 'freeness', 'of', 'the', 'solution', 'are', 'well', 'recovered']] | [-0.11600172995264538, 0.10505545735657118, -0.027355121243703758, 0.08758212081445987, -0.07618937247636667, -0.12475807446788048, 0.006196799372548799, 0.34762838250714956, -0.24488510958748433, -0.339637963671634, 0.10360790806279667, -0.22912184769541202, -0.09967999831399985, 0.26420382076885396, -0.024119966218424355, 0.0663563481710449, 0.08069070321287321, 0.02209443137457473, -0.07227875345618018, -0.19148027864229705, 0.3030623083041441, 0.048636920565529866, 0.27888178495420196, -0.013680717257573407, 0.0976963419447923, -0.0442485326485014, 0.02092120384510893, 0.09158011612113147, -0.09443278191219388, 0.10396816856338031, 0.17377077823108028, 0.10619960243664903, 0.267045433363001, -0.4660378723080165, -0.24458682442293364, 0.0062559957632563525, 0.12445355242548081, 0.10826368916906505, -0.037786557022433935, -0.24337576356710944, 0.08507087889413995, -0.12868332592687795, -0.12453813405608284, -0.061885790920061384, -0.03162437625926473, 0.005439543691202006, -0.3152527578957599, 0.08435530466655787, 0.029501471381576612, 0.08825194155494269, -0.15492664993473346, -0.11284937945224852, -0.04374950455939783, 0.09980179968609657, 0.06925641731689712, 0.08325235530893875, 0.1500788646496656, -0.12101507931672169, -0.06507181997559744, 0.3737530918328984, -0.07516932176722602, -0.19454830242927082, 0.16244479594201114, -0.15410573605844785, -0.08458514337857756, 0.15919244834965857, 0.15528665517715837, 0.1168016402358079, -0.1529123549929616, 0.0682716329090198, -0.05554779043377063, 0.15892795583208438, 0.020884868998863024, -0.02640806050170709, 0.21060891503353807, 0.14335348960611496, 0.053071338534575595, 0.11863327700921648, -0.13797517439085968, -0.08095494353421825, -0.28786522999251557, -0.1091958007957103, -0.15874232842515296, 0.038098768021128854, -0.11666092554023957, -0.18938599642608644, 0.40937409730429747, 0.16961342063126258, 0.15971585065567281, 0.005881199155818429, 0.3461451333115351, 0.1501293677145053, 0.06786563505174746, 0.11284460756685254, 0.28650383960136033, 0.18941839883853434, 0.10423265615706856, -0.1920060254454326, 0.024148311501798723, 0.08563604469951132] |
711.1377 | The Formation of the First Stars II. Radiative Feedback Processes and
Implications for the Initial Mass Function | We consider the radiative feedback processes that operate during the
formation of the first stars, including the photodissociation of H_2, Ly-alpha
radiation pressure, formation and expansion of an HII region, and disk
photoevaporation. These processes may inhibit continued accretion once the
stellar mass has reached a critical value, and we evaluate this mass separately
for each process. Photodissociation of H_2 in the local dark matter minihalo
occurs relatively early in the growth of the protostar, but we argue this does
not affect subsequent accretion since by this time the depth of the potential
is large enough for accretion to be mediated by atomic cooling. However,
neighboring starless minihalos can be affected. Ionization creates an HII
region in the infalling envelope above and below the accretion disk. Ly-alpha
radiation pressure acting at the boundary of the HII region is effective at
reversing infall from narrow polar directions when the star reaches ~20-30Msun,
but cannot prevent infall from other directions. Expansion of the HII region
beyond the gravitational escape radius for ionized gas occurs at masses
~50-100Msun, depending on the accretion rate and angular momentum of the
inflow. However, again, accretion from the equatorial regions can continue
since the neutral accretion disk has a finite thickness and shields a
substantial fraction of the accretion envelope from direct ionizing flux. At
higher stellar masses, ~140Msun in the fiducial case, the combination of
declining accretion rates and increasing photoevaporation-driven mass loss from
the disk act to effectively halt the increase in the protostellar mass. We
identify this process as the mechanism that terminates the growth of Population
III stars... (abridged)
| astro-ph | we consider the radiative feedback processes that operate during the formation of the first stars including the photodissociation of h_2 lyalpha radiation pressure formation and expansion of an hii region and disk photoevaporation these processes may inhibit continued accretion once the stellar mass has reached a critical value and we evaluate this mass separately for each process photodissociation of h_2 in the local dark matter minihalo occurs relatively early in the growth of the protostar but we argue this does not affect subsequent accretion since by this time the depth of the potential is large enough for accretion to be mediated by atomic cooling however neighboring starless minihalos can be affected ionization creates an hii region in the infalling envelope above and below the accretion disk lyalpha radiation pressure acting at the boundary of the hii region is effective at reversing infall from narrow polar directions when the star reaches 2030msun but cannot prevent infall from other directions expansion of the hii region beyond the gravitational escape radius for ionized gas occurs at masses 50100msun depending on the accretion rate and angular momentum of the inflow however again accretion from the equatorial regions can continue since the neutral accretion disk has a finite thickness and shields a substantial fraction of the accretion envelope from direct ionizing flux at higher stellar masses 140msun in the fiducial case the combination of declining accretion rates and increasing photoevaporationdriven mass loss from the disk act to effectively halt the increase in the protostellar mass we identify this process as the mechanism that terminates the growth of population iii stars abridged | [['we', 'consider', 'the', 'radiative', 'feedback', 'processes', 'that', 'operate', 'during', 'the', 'formation', 'of', 'the', 'first', 'stars', 'including', 'the', 'photodissociation', 'of', 'h_2', 'lyalpha', 'radiation', 'pressure', 'formation', 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711.1378 | From random matrices to random analytic functions | We consider two families of random matrix-valued analytic functions: (1)
G_1-zG_2 and (2) G_0 + zG_1 +z^2G_2+ ..., where G_i are n x n independent
random matrices with independent standard complex Gaussian entries. The set of
z where these matrix-valued analytic functions become singular, are shown to be
determinantal point processes on the sphere and the hyperbolic plane,
respectively. The kernels of these determinantal processes are reproducing
kernels of certain natural Hilbert spaces of analytic functions on the
corresponding surfaces. This gives a unified framework in which to view a
result of Peres and Virag (n=1 in the second setting) and a well known theorem
of Ginibre on Gaussian random matrices (which may be viewed as an analogue of
our results in the whole plane).
| math.PR math-ph math.MP | we consider two families of random matrixvalued analytic functions 1 g_1zg_2 and 2 g_0 zg_1 z2g_2 where g_i are n x n independent random matrices with independent standard complex gaussian entries the set of z where these matrixvalued analytic functions become singular are shown to be determinantal point processes on the sphere and the hyperbolic plane respectively the kernels of these determinantal processes are reproducing kernels of certain natural hilbert spaces of analytic functions on the corresponding surfaces this gives a unified framework in which to view a result of peres and virag n1 in the second setting and a well known theorem of ginibre on gaussian random matrices which may be viewed as an analogue of our results in the whole plane | [['we', 'consider', 'two', 'families', 'of', 'random', 'matrixvalued', 'analytic', 'functions', '1', 'g_1zg_2', 'and', '2', 'g_0', 'zg_1', 'z2g_2', 'where', 'g_i', 'are', 'n', 'x', 'n', 'independent', 'random', 'matrices', 'with', 'independent', 'standard', 'complex', 'gaussian', 'entries', 'the', 'set', 'of', 'z', 'where', 'these', 'matrixvalued', 'analytic', 'functions', 'become', 'singular', 'are', 'shown', 'to', 'be', 'determinantal', 'point', 'processes', 'on', 'the', 'sphere', 'and', 'the', 'hyperbolic', 'plane', 'respectively', 'the', 'kernels', 'of', 'these', 'determinantal', 'processes', 'are', 'reproducing', 'kernels', 'of', 'certain', 'natural', 'hilbert', 'spaces', 'of', 'analytic', 'functions', 'on', 'the', 'corresponding', 'surfaces', 'this', 'gives', 'a', 'unified', 'framework', 'in', 'which', 'to', 'view', 'a', 'result', 'of', 'peres', 'and', 'virag', 'n1', 'in', 'the', 'second', 'setting', 'and', 'a', 'well', 'known', 'theorem', 'of', 'ginibre', 'on', 'gaussian', 'random', 'matrices', 'which', 'may', 'be', 'viewed', 'as', 'an', 'analogue', 'of', 'our', 'results', 'in', 'the', 'whole', 'plane']] | [-0.10372819066881979, 0.11617256244268598, -0.04976577496660563, 0.08552699645806569, -0.022263603172420213, -0.11083729747915641, -0.001681348285637796, 0.35983671228556585, -0.26520436101903516, -0.17729918986636525, 0.10582041345478502, -0.27866931455209853, -0.19134501645263904, 0.2192522271613901, -0.04827753194064523, 0.0857526116616403, -0.0004977107242060204, 0.03570328005686558, -0.10217400637144844, -0.27851828998148753, 0.3820755584369181, -0.023984902491793036, 0.1896814464785469, 0.0062990549641350905, 0.10111096152104437, 0.05003634410677478, -0.046100151166319846, -0.06466969304795687, -0.09856365382050475, 0.10428299791334818, 0.26863824440321576, 0.08482402934156805, 0.24022105875386235, -0.3777258449738535, -0.19042142236915727, 0.17690935506349584, 0.1351223551396591, -0.0012332287772248189, 0.016938496537234945, -0.2958130411066425, 0.07446120791331244, -0.09632561583033142, -0.16932636936738465, -0.057898417697288096, 0.012802945900087554, 0.06602371779736131, -0.35291216655944785, 0.03507085752207786, 0.13493325447295015, 0.03846431840987255, -0.005782446245818088, -0.1875529230029012, 0.010164471511961893, 0.08515687939167643, -0.012500239238336992, 0.06289977201183015, 0.1150360278947725, -0.04239040244331894, -0.13159427486825734, 0.332571172467821, -0.042437760709920745, -0.29145915355378144, 0.17126600221575547, -0.2033831871696748, -0.1462281432429639, 0.10786989349871874, 0.17968032261802971, 0.15164856618115058, -0.11662541641077648, 0.17554584786024255, -0.11928235116259506, 0.06303186889781501, 0.09065823983013009, 0.016324324533343315, 0.12964234622971466, 0.049839714502256056, 0.07252023585218316, 0.1403245857373501, 0.020610384943817433, -0.14824153868394205, -0.35318521624431015, -0.15178972306506086, -0.22162194942162994, 0.14263748056837358, -0.19564827930444154, -0.24420239271979274, 0.35590840042180694, 0.061534739581596415, 0.2824442555254791, 0.1076746299106162, 0.2044088448708256, 0.14353775442347494, 0.006901770255838832, 0.047332457910912736, 0.09403076364348333, 0.19890173429933686, 0.012230241019278765, -0.04847106031205233, -0.013550554249377456, 0.12099195949267597] |
711.1379 | VLBI Observations of Water Masers in Onsala 1: Massive Binary Star
Forming Site? | We present proper motions of water masers toward the Onsala 1 star forming
region, observed with the Japanese VLBI network at three epochs spanning 290
days. We found that there are two water maser clusters (WMC1 and WMC2)
separated from each other by 1".6 (2900 AU at a distance of 1.8 kpc). The
proper motion measurement reveals that WMC1 is associated with a bipolar
outflow elongated in the east-west direction with an expansion velocity of
69+-11 km/s. WMC1 and WMC2 are associated with two 345 GHz continuum dust
emission sources, and located 2" (3600 AU) east from the core of an
ultracompact HII region traced by 8.4 GHz radio continuum emission. This
indicates that star formation activity of Onsala 1 could move from the west
side of ultracompact HII region to the east side of two young stellar objects
associated with the water masers. We also find that WMC1 and UC HII region
could be gravitationally bound. Their relative velocity along the line of sight
is 3 km/s, and total mass is 37 Mo. Onsala 1 seems to harbor a binary star at
different evolutionary stage.
| astro-ph | we present proper motions of water masers toward the onsala 1 star forming region observed with the japanese vlbi network at three epochs spanning 290 days we found that there are two water maser clusters wmc1 and wmc2 separated from each other by 16 2900 au at a distance of 18 kpc the proper motion measurement reveals that wmc1 is associated with a bipolar outflow elongated in the eastwest direction with an expansion velocity of 6911 kms wmc1 and wmc2 are associated with two 345 ghz continuum dust emission sources and located 2 3600 au east from the core of an ultracompact hii region traced by 84 ghz radio continuum emission this indicates that star formation activity of onsala 1 could move from the west side of ultracompact hii region to the east side of two young stellar objects associated with the water masers we also find that wmc1 and uc hii region could be gravitationally bound their relative velocity along the line of sight is 3 kms and total mass is 37 mo onsala 1 seems to harbor a binary star at different evolutionary stage | [['we', 'present', 'proper', 'motions', 'of', 'water', 'masers', 'toward', 'the', 'onsala', '1', 'star', 'forming', 'region', 'observed', 'with', 'the', 'japanese', 'vlbi', 'network', 'at', 'three', 'epochs', 'spanning', '290', 'days', 'we', 'found', 'that', 'there', 'are', 'two', 'water', 'maser', 'clusters', 'wmc1', 'and', 'wmc2', 'separated', 'from', 'each', 'other', 'by', '16', '2900', 'au', 'at', 'a', 'distance', 'of', '18', 'kpc', 'the', 'proper', 'motion', 'measurement', 'reveals', 'that', 'wmc1', 'is', 'associated', 'with', 'a', 'bipolar', 'outflow', 'elongated', 'in', 'the', 'eastwest', 'direction', 'with', 'an', 'expansion', 'velocity', 'of', '6911', 'kms', 'wmc1', 'and', 'wmc2', 'are', 'associated', 'with', 'two', '345', 'ghz', 'continuum', 'dust', 'emission', 'sources', 'and', 'located', '2', '3600', 'au', 'east', 'from', 'the', 'core', 'of', 'an', 'ultracompact', 'hii', 'region', 'traced', 'by', '84', 'ghz', 'radio', 'continuum', 'emission', 'this', 'indicates', 'that', 'star', 'formation', 'activity', 'of', 'onsala', '1', 'could', 'move', 'from', 'the', 'west', 'side', 'of', 'ultracompact', 'hii', 'region', 'to', 'the', 'east', 'side', 'of', 'two', 'young', 'stellar', 'objects', 'associated', 'with', 'the', 'water', 'masers', 'we', 'also', 'find', 'that', 'wmc1', 'and', 'uc', 'hii', 'region', 'could', 'be', 'gravitationally', 'bound', 'their', 'relative', 'velocity', 'along', 'the', 'line', 'of', 'sight', 'is', '3', 'kms', 'and', 'total', 'mass', 'is', '37', 'mo', 'onsala', '1', 'seems', 'to', 'harbor', 'a', 'binary', 'star', 'at', 'different', 'evolutionary', 'stage']] | [-0.09894045765029491, 0.12136640446658165, -0.00941247653290553, -0.011955845279458787, -0.07533450597067633, -0.09407579896798551, 0.03811148963894064, 0.47472229343202843, -0.1594212457119065, -0.3172338567836378, 0.07058954675735325, -0.28214644285458357, 0.01146568044195654, 0.1363791702544225, -0.003974515540764509, -0.12873733717734454, 0.06780723026283136, -0.07565063299468713, -0.008576486292142482, -0.1509457293266807, 0.2809376878281572, 0.05828192176378734, 0.1366777889140439, -0.010272564867745495, 0.09406447487684791, -0.2116091043556038, -0.06715332409316073, -0.024055148892822203, -0.12939639636165912, 0.08154116801903558, 0.24936542325637867, 0.11974340139079045, 0.22182616016374584, -0.3141599506803895, -0.18398465227356048, 0.000797377769514674, 0.1967312153327009, 0.011481507783094065, 0.008247367407912846, -0.3249586628542582, 0.06569761788228252, -0.18494968819610083, -0.22681830707260617, 0.20124606382549623, 0.1073846695842883, 0.022175749519565066, -0.18041259069962662, 0.1736057035386743, -0.02633402408068062, 0.11682794450736436, -0.11810793736033508, -0.16073440248401114, -0.09404153183173856, 0.06770816807319599, -0.04659317816032575, 0.1535686429798644, 0.2208322973214497, -0.07118266862511757, -0.0753414612390671, 0.3712187762591031, -0.05200689353743476, 0.029817524681610814, 0.2741070829021434, -0.25927824308826014, -0.18699941197359335, 0.2587447054582378, 0.10774419039151951, 0.1105695522308879, -0.12797916792910433, -0.08788759737495648, -0.04669835711600351, 0.2261136641186443, 0.1352559869047865, 0.04809406364865886, 0.3490244437726673, 0.07865966811694734, 0.08117654944052462, 0.1437523343286711, -0.3428316766792486, -0.07443483914324983, -0.2456235685207642, -0.0911945043519124, -0.07686902199047388, 0.07464201291361468, -0.15991885750133053, -0.05128674377792876, 0.2937392792206441, 0.056134246485664056, 0.2039290495227025, -0.0006788867052461281, 0.23671214881510846, 0.01275129918367831, 0.10094561955708338, 0.21832164893781797, 0.3094786761145367, 0.18189698624643472, 0.107363822313962, -0.20594067613389394, 0.04063228956713784, -0.01398415427115527] |
711.138 | Preliminaries in Many-Particle Quantum Gravity: Einstein-Friedmann
Spacetime | Preliminaries for Many-Particle approach to quantization of Einstein-Hilbert
theory of gravitation are presented in this paper. Einstein-Friedmann Spacetime
is detailed discussed from this point of view. Von Neumann-Araki-Woods second
quantization in Fock space of canonical Hamilton field equations is presented.
In result Spacetime as system with Bose-Einstein statistics is described and
thermodynamics of the system is computed.
| gr-qc hep-th math-ph math.MP quant-ph | preliminaries for manyparticle approach to quantization of einsteinhilbert theory of gravitation are presented in this paper einsteinfriedmann spacetime is detailed discussed from this point of view von neumannarakiwoods second quantization in fock space of canonical hamilton field equations is presented in result spacetime as system with boseeinstein statistics is described and thermodynamics of the system is computed | [['preliminaries', 'for', 'manyparticle', 'approach', 'to', 'quantization', 'of', 'einsteinhilbert', 'theory', 'of', 'gravitation', 'are', 'presented', 'in', 'this', 'paper', 'einsteinfriedmann', 'spacetime', 'is', 'detailed', 'discussed', 'from', 'this', 'point', 'of', 'view', 'von', 'neumannarakiwoods', 'second', 'quantization', 'in', 'fock', 'space', 'of', 'canonical', 'hamilton', 'field', 'equations', 'is', 'presented', 'in', 'result', 'spacetime', 'as', 'system', 'with', 'boseeinstein', 'statistics', 'is', 'described', 'and', 'thermodynamics', 'of', 'the', 'system', 'is', 'computed']] | [-0.16028608697732644, 0.11558716629432249, -0.12935124833269843, 0.048176470141957646, -0.033948446391150355, -0.1330998256869082, -0.06184502357583759, 0.26292181681908133, -0.22239478923646466, -0.25461276806890965, 0.013072170019898164, -0.25557604528564426, -0.18974446402197437, 0.15219392834530612, -0.14321915256524725, 0.04690083966124803, 0.05674019460898957, 0.060945159497870396, -0.08170919544396124, -0.2514858151054276, 0.3921923572779633, 0.09211173909716308, 0.2346185812992709, -0.012464649908776795, 0.14176896513838852, 0.024415087701657155, -0.04507430426643363, 0.049645538909057256, -0.1326201517534043, 0.07201975347873356, 0.26330818842896925, 0.1216142791589456, 0.22561647024537837, -0.3951184915910874, -0.2310837723946731, 0.01147555755285014, 0.12452140504527572, 0.16485481208655983, -0.004300486712184336, -0.307636157842353, 0.0348539498307738, -0.18660553874048805, -0.1774386734302555, -0.11091226439124771, 0.002668004185709703, -0.04341397715532886, -0.18979901082015463, 0.12200911851167413, 0.08819901058450341, 0.08270779380109161, -0.10213526888817016, -0.07539315009073887, 0.008628442792022335, 0.03251922671915963, 0.026344201382016763, 0.059739288443649584, 0.11600593507422932, -0.08553451920826254, -0.10988235586721982, 0.44241191100861343, -0.04004334428048294, -0.2545168320648372, 0.07602867080796775, -0.16961150872521102, -0.13822520231562002, 0.07528373943309166, 0.11915984220104292, 0.12851170611767365, -0.19749780193836028, 0.16184327999105466, -0.020102864247746766, 0.09668750985136805, 0.05968711777157815, 0.06970315513068012, 0.19727259814473136, 0.16543894343444013, 0.018432667961211076, 0.1433218203351966, 0.024470134671511396, -0.2388496980752929, -0.42713116185041144, -0.19530397778310413, -0.2457936763530597, 0.09139823354780674, -0.054937759779932094, -0.1670187884675605, 0.33137729046367376, 0.12864202111294226, 0.07884726849650699, 0.009348079379248832, 0.26302987885927515, 0.18650399292943934, -0.04239755845628679, 0.02024437389003911, 0.24349334762830818, 0.23498233090088302, 0.1508426573210662, -0.17699473100167648, -0.13162668754479714, 0.20839571199030615] |
711.1381 | Implications of kHz QPOs for the spin frequencies and magnetic fields of
neutron stars: new results from Circinus X-1 | Detection of paired kilohertz quasi-periodic oscillations (kHz QPOs) in the
X-ray emission of a compact object is compelling evidence that the object is an
accreting neutron star. In many neutron stars, the stellar spin rate is equal
or roughly equal to Delta-nu, the frequency separation of the QPO pair, or to
2Delta-nu. Hence, if the mechanism that produces the kilohertz QPOs is similar
in all stars, measurement of Delta-nu can provide an estimate of the star's
spin rate. The involvement of the stellar spin in producing Delta-nu indicates
that the magnetic fields of these stars are dynamically important.
We focus here on the implications of the paired kHz QPOs recently discovered
in the low-mass X-ray binary (LMXB) system Cir X-1 (Boutloukos et al. 2006).
The kHz QPOs discovered in Cir X-1 are generally similar to those seen in other
stars, establishing that the compact object in the Cir X-1 system is a neutron
star. However, the frequency nu-u of its upper kHz QPO is up to a factor of
three smaller than is typical, and Delta-nu varies by about a factor 2 (167 Hz,
the largest variation so far observed). Periodic oscillations have not yet been
detected from Cir X-1, so its spin rate has not yet been measured directly. The
low values of nu-u and the large variation of Delta-nu challenge current models
of the generation of kHz QPOs. Improving our understanding of Cir X-1 will
improve our knowledge of the spin rates and magnetic fields of all neutron
stars.
| astro-ph | detection of paired kilohertz quasiperiodic oscillations khz qpos in the xray emission of a compact object is compelling evidence that the object is an accreting neutron star in many neutron stars the stellar spin rate is equal or roughly equal to deltanu the frequency separation of the qpo pair or to 2deltanu hence if the mechanism that produces the kilohertz qpos is similar in all stars measurement of deltanu can provide an estimate of the stars spin rate the involvement of the stellar spin in producing deltanu indicates that the magnetic fields of these stars are dynamically important we focus here on the implications of the paired khz qpos recently discovered in the lowmass xray binary lmxb system cir x1 boutloukos et al 2006 the khz qpos discovered in cir x1 are generally similar to those seen in other stars establishing that the compact object in the cir x1 system is a neutron star however the frequency nuu of its upper khz qpo is up to a factor of three smaller than is typical and deltanu varies by about a factor 2 167 hz the largest variation so far observed periodic oscillations have not yet been detected from cir x1 so its spin rate has not yet been measured directly the low values of nuu and the large variation of deltanu challenge current models of the generation of khz qpos improving our understanding of cir x1 will improve our knowledge of the spin rates and magnetic fields of all neutron stars | [['detection', 'of', 'paired', 'kilohertz', 'quasiperiodic', 'oscillations', 'khz', 'qpos', 'in', 'the', 'xray', 'emission', 'of', 'a', 'compact', 'object', 'is', 'compelling', 'evidence', 'that', 'the', 'object', 'is', 'an', 'accreting', 'neutron', 'star', 'in', 'many', 'neutron', 'stars', 'the', 'stellar', 'spin', 'rate', 'is', 'equal', 'or', 'roughly', 'equal', 'to', 'deltanu', 'the', 'frequency', 'separation', 'of', 'the', 'qpo', 'pair', 'or', 'to', '2deltanu', 'hence', 'if', 'the', 'mechanism', 'that', 'produces', 'the', 'kilohertz', 'qpos', 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711.1382 | Neutrino and scalar boson mass in algebraic quantum field theory | The hypothesis is explored that fermion rest mass is due entirely to
self-interaction via virtual excitation of gauge bosons. This requires revising
the standard model to treat both chiral projections of a fermion field as SU(2)
doublets, which precludes Yukawa coupling to a scalar (Higgs) boson field. The
estimated self-interaction mass of the electron neutrino is
$0.291\times10^{-5}m_e$. The implied self-interaction mass of the Higgs boson
itself is very small, comparable to the neutrino. Because there is no direct
coupling to fermions, only to the $Z^0$ gauge boson, this can be reconciled
with failure to detect low-mass Higgs bosons. This argument eliminates many
undetermined parameters of the standard model, but requires an {\it ad hoc}
Lagrangian term to account for neutral current asymmetries. The proposed
algebraic formalism is consistent with fermion generations defined by distinct
eigenvalues of a self-interaction mass operator.
| hep-th | the hypothesis is explored that fermion rest mass is due entirely to selfinteraction via virtual excitation of gauge bosons this requires revising the standard model to treat both chiral projections of a fermion field as su2 doublets which precludes yukawa coupling to a scalar higgs boson field the estimated selfinteraction mass of the electron neutrino is 0291times105m_e the implied selfinteraction mass of the higgs boson itself is very small comparable to the neutrino because there is no direct coupling to fermions only to the z0 gauge boson this can be reconciled with failure to detect lowmass higgs bosons this argument eliminates many undetermined parameters of the standard model but requires an it ad hoc lagrangian term to account for neutral current asymmetries the proposed algebraic formalism is consistent with fermion generations defined by distinct eigenvalues of a selfinteraction mass operator | [['the', 'hypothesis', 'is', 'explored', 'that', 'fermion', 'rest', 'mass', 'is', 'due', 'entirely', 'to', 'selfinteraction', 'via', 'virtual', 'excitation', 'of', 'gauge', 'bosons', 'this', 'requires', 'revising', 'the', 'standard', 'model', 'to', 'treat', 'both', 'chiral', 'projections', 'of', 'a', 'fermion', 'field', 'as', 'su2', 'doublets', 'which', 'precludes', 'yukawa', 'coupling', 'to', 'a', 'scalar', 'higgs', 'boson', 'field', 'the', 'estimated', 'selfinteraction', 'mass', 'of', 'the', 'electron', 'neutrino', 'is', '0291times105m_e', 'the', 'implied', 'selfinteraction', 'mass', 'of', 'the', 'higgs', 'boson', 'itself', 'is', 'very', 'small', 'comparable', 'to', 'the', 'neutrino', 'because', 'there', 'is', 'no', 'direct', 'coupling', 'to', 'fermions', 'only', 'to', 'the', 'z0', 'gauge', 'boson', 'this', 'can', 'be', 'reconciled', 'with', 'failure', 'to', 'detect', 'lowmass', 'higgs', 'bosons', 'this', 'argument', 'eliminates', 'many', 'undetermined', 'parameters', 'of', 'the', 'standard', 'model', 'but', 'requires', 'an', 'it', 'ad', 'hoc', 'lagrangian', 'term', 'to', 'account', 'for', 'neutral', 'current', 'asymmetries', 'the', 'proposed', 'algebraic', 'formalism', 'is', 'consistent', 'with', 'fermion', 'generations', 'defined', 'by', 'distinct', 'eigenvalues', 'of', 'a', 'selfinteraction', 'mass', 'operator']] | [-0.14635216801200338, 0.25490775286722944, -0.022819839639039777, 0.18236133511087743, -0.13247829807667638, -0.21165667273264996, 0.02915891746340467, 0.31464909532998536, -0.18297096731462817, -0.2988293886372297, -0.015308138710051346, -0.23982489123779663, -0.02848574559525888, 0.08599267818583109, 0.012568730998301893, 0.0330898002009477, 0.05718381095488335, 0.036088446091538925, -0.0664221259519096, -0.2557351545635075, 0.3407231858569673, 0.025974263468918075, 0.17803981800215224, 0.09419388278126181, 0.1039888189633196, 0.01937884855814439, -0.012562296172376159, -0.08819221283088056, -0.0476119069070258, 0.05188527764089191, 0.17001215234841052, 0.0261867062625033, 0.17258244220891017, -0.3576796459395894, -0.17799996770248352, 0.16484245614369783, 0.1975662397679692, 0.11599897165035682, -0.07664649049825162, -0.3218395218936552, 0.0664879366983291, -0.21534576224122973, -0.15145167072383994, -0.05923833960848157, -0.0488614331404913, -0.1391354878399548, -0.34464509745644367, 0.10822979050601343, -0.0493010297926853, 0.012563717681345054, -0.011724261618922833, -0.11322604046662157, -0.08641565270159099, -0.010544198089473539, 0.21579977610188691, 0.06416614080290142, 0.17697307396606415, -0.19168400786743373, -0.10544857973142413, 0.43518991377070654, -0.10825420317923476, -0.21949804522157412, 0.18146895096811513, -0.10756581442819226, -0.10815277310480237, 0.1524298860818791, 0.11705848445743992, 0.043440287286187894, -0.19842193554416834, 0.198168411964832, -0.07029530929280914, 0.19072032551592713, 0.026841944344877768, 0.0289189206501603, 0.28504732431736673, 0.12928199846458308, 0.023901256668572346, -0.013026880359163226, -0.03923445985913813, -0.1255551725056478, -0.34629414396749125, -0.15482576752043092, -0.1507157053624233, 0.08177876089391359, -0.08010780240895675, -0.18821174631618875, 0.3954684516455201, 0.16968614579238694, 0.21702053938429508, 0.0181471254122142, 0.3116152764569378, 0.16811925392487362, 0.17612088940662446, -0.013615163800259717, 0.3383115648874919, 0.20010307313465653, 0.059085216011396414, -0.2356221801098838, -0.030974295419111526, 0.10381141487214206] |
711.1383 | On Minimal Tree Realizations of Linear Codes | A tree decomposition of the coordinates of a code is a mapping from the
coordinate set to the set of vertices of a tree. A tree decomposition can be
extended to a tree realization, i.e., a cycle-free realization of the code on
the underlying tree, by specifying a state space at each edge of the tree, and
a local constraint code at each vertex of the tree. The constraint complexity
of a tree realization is the maximum dimension of any of its local constraint
codes. A measure of the complexity of maximum-likelihood decoding for a code is
its treewidth, which is the least constraint complexity of any of its tree
realizations.
It is known that among all tree realizations of a code that extends a given
tree decomposition, there exists a unique minimal realization that minimizes
the state space dimension at each vertex of the underlying tree. In this paper,
we give two new constructions of these minimal realizations. As a by-product of
the first construction, a generalization of the state-merging procedure for
trellis realizations, we obtain the fact that the minimal tree realization also
minimizes the local constraint code dimension at each vertex of the underlying
tree. The second construction relies on certain code decomposition techniques
that we develop. We further observe that the treewidth of a code is related to
a measure of graph complexity, also called treewidth. We exploit this
connection to resolve a conjecture of Forney's regarding the gap between the
minimum trellis constraint complexity and the treewidth of a code. We present a
family of codes for which this gap can be arbitrarily large.
| cs.IT math.IT | a tree decomposition of the coordinates of a code is a mapping from the coordinate set to the set of vertices of a tree a tree decomposition can be extended to a tree realization ie a cyclefree realization of the code on the underlying tree by specifying a state space at each edge of the tree and a local constraint code at each vertex of the tree the constraint complexity of a tree realization is the maximum dimension of any of its local constraint codes a measure of the complexity of maximumlikelihood decoding for a code is its treewidth which is the least constraint complexity of any of its tree realizations it is known that among all tree realizations of a code that extends a given tree decomposition there exists a unique minimal realization that minimizes the state space dimension at each vertex of the underlying tree in this paper we give two new constructions of these minimal realizations as a byproduct of the first construction a generalization of the statemerging procedure for trellis realizations we obtain the fact that the minimal tree realization also minimizes the local constraint code dimension at each vertex of the underlying tree the second construction relies on certain code decomposition techniques that we develop we further observe that the treewidth of a code is related to a measure of graph complexity also called treewidth we exploit this connection to resolve a conjecture of forneys regarding the gap between the minimum trellis constraint complexity and the treewidth of a code we present a family of codes for which this gap can be arbitrarily large | [['a', 'tree', 'decomposition', 'of', 'the', 'coordinates', 'of', 'a', 'code', 'is', 'a', 'mapping', 'from', 'the', 'coordinate', 'set', 'to', 'the', 'set', 'of', 'vertices', 'of', 'a', 'tree', 'a', 'tree', 'decomposition', 'can', 'be', 'extended', 'to', 'a', 'tree', 'realization', 'ie', 'a', 'cyclefree', 'realization', 'of', 'the', 'code', 'on', 'the', 'underlying', 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711.1384 | On weighted approximations in $D[0, 1]$ with applications to
self-normalized partial sum processes | Let $X, X_1, X_2,...$ be a sequence of non-degenerate i.i.d. random variables
with mean zero. The best possible weighted approximations are investigated in
$D[0, 1]$ for the partial sum processes $\{S_{[nt]}, 0\le t\le 1\}$, where
$S_n=\sum_{j=1}^nX_j$, under the assumption that $X$ belongs to the domain of
attraction of the normal law. The conclusions then are used to establish
similar results for the sequence of self-normalized partial sum processes
$\{S_{[nt]}/V_n, 0\le t\le 1\}$, where $V_n^2=\sum_{j=1}^nX_j^2$. $L_p$
approximations of self-normalized partial sum processes are also discussed.
| math.PR | let x x_1 x_2 be a sequence of nondegenerate iid random variables with mean zero the best possible weighted approximations are investigated in d0 1 for the partial sum processes s_nt 0le tle 1 where s_nsum_j1nx_j under the assumption that x belongs to the domain of attraction of the normal law the conclusions then are used to establish similar results for the sequence of selfnormalized partial sum processes s_ntv_n 0le tle 1 where v_n2sum_j1nx_j2 l_p approximations of selfnormalized partial sum processes are also discussed | [['let', 'x', 'x_1', 'x_2', 'be', 'a', 'sequence', 'of', 'nondegenerate', 'iid', 'random', 'variables', 'with', 'mean', 'zero', 'the', 'best', 'possible', 'weighted', 'approximations', 'are', 'investigated', 'in', 'd0', '1', 'for', 'the', 'partial', 'sum', 'processes', 's_nt', '0le', 'tle', '1', 'where', 's_nsum_j1nx_j', 'under', 'the', 'assumption', 'that', 'x', 'belongs', 'to', 'the', 'domain', 'of', 'attraction', 'of', 'the', 'normal', 'law', 'the', 'conclusions', 'then', 'are', 'used', 'to', 'establish', 'similar', 'results', 'for', 'the', 'sequence', 'of', 'selfnormalized', 'partial', 'sum', 'processes', 's_ntv_n', '0le', 'tle', '1', 'where', 'v_n2sum_j1nx_j2', 'l_p', 'approximations', 'of', 'selfnormalized', 'partial', 'sum', 'processes', 'are', 'also', 'discussed']] | [-0.10474660536159336, 0.15573473660459305, -0.041454964921016385, 0.06299530172628569, -0.01213165507134464, -0.15773866481412155, 0.07167984312687667, 0.359766505026247, -0.3348304904813384, -0.1290222392015067, 0.10981879939100947, -0.3490005633736282, -0.05726211053681456, 0.13767905986327447, -0.03993000123465871, 0.04867427969454891, -0.00405100793980154, 0.08299066071157102, -0.06527790570140092, -0.2803268327527208, 0.3079535904754367, -0.13024972996065093, 0.21461327613135914, -0.017411819549225684, 0.1128478329628706, 0.021950483166923124, -0.011106736659083837, -0.05294250880000124, -0.20446271508298655, 0.03909283929308991, 0.24404914290816695, 0.11629868804672618, 0.30377265093503175, -0.34934303253015253, -0.15245942903659593, 0.19168786210278163, 0.16900250801448652, -0.09424153848171786, 0.02134847730530403, -0.2548194163892832, 0.19113004509428586, -0.09770946460776031, -0.13530267449670735, -0.03451490066773086, 0.06837540646486076, 0.15857458123965995, -0.45874108049880574, 0.11363428474632437, 0.14249590169753373, 0.017442958955480543, -0.03323377824365449, -0.2754573989889504, 0.011505085049358047, 0.0923648042500847, 0.05333834382946844, 0.07514064211145412, 0.03663778279291431, -0.03223627300955999, -0.10892309597980829, 0.33456027162847696, -0.06691528697222195, -0.25584548217083475, 0.10330340122505102, -0.2405098687625996, -0.12742114181480843, 0.13417655773414874, 0.12923202626292168, 0.17677350389028476, -0.14108101460208863, 0.13832490470973247, -0.039729554332608795, 0.10288185402061101, 0.07675242154962486, 0.03602324539427588, 0.10621784369311767, 0.09439093824246048, 0.07617984594846214, 0.07667447359985269, -0.04739440391185107, -0.10080908885136546, -0.41260121339633143, -0.11080065825206722, -0.20010770880329756, 0.1542770522474139, -0.18303387056436837, -0.11802362072867928, 0.23629743185607188, 0.09356894015254062, 0.20977229610039497, 0.11087866121742093, 0.19153137414859547, 0.15000935517435457, -0.06149947935324392, 0.04453450862467749, 0.0829042906579734, 0.19699599067278115, 0.022531062422067295, -0.12005312157576375, 0.09306815141857958, 0.0764498661622911] |
711.1385 | Asymptotics of Studentized U-type processes for changepoint problems | This paper investigates weighted approximations for studentized
$U$-statistics type processes, both with symmetric and antisymmetric kernels,
only under the assumption that the distribution of the projection variate is in
the domain of attraction of the normal law. The classical second moment
condition $E|h(X_1,X_2)|^2 < \infty$ is also relaxed in both cases. The results
can be used for testing the null assumption of having a random sample versus
the alternative that there is a change in distribution in the sequence.
| math.PR | this paper investigates weighted approximations for studentized ustatistics type processes both with symmetric and antisymmetric kernels only under the assumption that the distribution of the projection variate is in the domain of attraction of the normal law the classical second moment condition ehx_1x_22 infty is also relaxed in both cases the results can be used for testing the null assumption of having a random sample versus the alternative that there is a change in distribution in the sequence | [['this', 'paper', 'investigates', 'weighted', 'approximations', 'for', 'studentized', 'ustatistics', 'type', 'processes', 'both', 'with', 'symmetric', 'and', 'antisymmetric', 'kernels', 'only', 'under', 'the', 'assumption', 'that', 'the', 'distribution', 'of', 'the', 'projection', 'variate', 'is', 'in', 'the', 'domain', 'of', 'attraction', 'of', 'the', 'normal', 'law', 'the', 'classical', 'second', 'moment', 'condition', 'ehx_1x_22', 'infty', 'is', 'also', 'relaxed', 'in', 'both', 'cases', 'the', 'results', 'can', 'be', 'used', 'for', 'testing', 'the', 'null', 'assumption', 'of', 'having', 'a', 'random', 'sample', 'versus', 'the', 'alternative', 'that', 'there', 'is', 'a', 'change', 'in', 'distribution', 'in', 'the', 'sequence']] | [-0.09094704897445324, 0.10034373226611838, -0.12509442339711763, 0.09580528453391578, -0.030339642010580797, -0.09976751971143213, 0.041373725043906066, 0.3619934748132507, -0.2693018595954137, -0.2268629071435758, 0.12873749471384452, -0.24705621493714197, -0.10940433317771206, 0.1512415278037744, -0.07404552052982828, 0.032093349628017416, 0.031173952338104317, 0.044462650421668186, -0.0877836325883188, -0.23862503827005238, 0.361232001518879, -0.0043714994673508326, 0.3322735445501355, -0.01953671894764963, 0.06015336357190141, 0.016685616702760583, -0.0023745890531398648, 0.0036283339535681056, -0.07689170198996594, 0.08482320004675005, 0.18942604832919677, 0.12478925888245175, 0.28036890407516196, -0.3753016106658668, -0.16895708862643738, 0.19383009455496347, 0.1102257151543707, 0.04836096803282763, -0.051220364761296905, -0.2408475958101161, 0.11556856256800813, -0.12515340198297054, -0.1719165299353855, -0.024732386260958656, -0.008384775563880995, 0.08537397172011725, -0.37528451159596443, 0.12916685002757683, 0.18030165859147326, 0.03624529814855619, -0.06611198501346947, -0.1267902703302634, 0.059487805012371636, 0.0837073756212538, 0.08934818139577938, -0.004375039448647143, 0.0733318355054649, -0.11863792461173778, -0.07229756143597232, 0.3589738069084025, -0.07968145242722874, -0.2744765325098649, 0.1507448543395315, -0.1749048488843557, -0.13742930893241972, 0.05555362107425735, 0.14593299648833352, 0.14463097992394341, -0.16713045784514155, 0.14039972200672227, -0.05942949949001724, 0.10416899702372634, 0.07808542885370069, -0.022317069582641125, 0.12652231270882797, 0.12297640150630629, 0.10905027602853665, 0.16147393668100674, -0.11452198513577898, -0.1249446588532104, -0.35714455190804095, -0.16977784544979405, -0.2386838445687884, 0.04232403051785447, -0.14836070825048728, -0.19855603325186758, 0.36179693764704585, 0.09380590380169451, 0.15238779307911535, 0.09880181929314291, 0.25064890454341837, 0.16116537528668906, 0.031669384751517274, 0.053089229565404066, 0.20131238406620822, 0.1596639123805738, 0.05763940395811548, -0.1675102163938497, 0.15106756903545618, 0.045720203707067225] |
711.1386 | Relativistic Radiation Hydrodynamical Accretion Disk Winds | Accretion disk winds browing off perpendicular to a luminous disk are
examined in the framework of fully special relativistic radiation
hydrodynamics. The wind is assumed to be steady, vertical, and isothermal. %and
the gravitational fields is approximated by a pseudo-Newtonian potential. Using
a velocity-dependent variable Eddington factor, we can solve the rigorous
equations of relativistic radiative hydrodynamics, and can obtain radiatively
driven winds accelerated up to the {\it relativistic} speed. For less luminous
cases, disk winds are transonic types passing through saddle type critical
points, and the final speed of winds increases as the disk flux and/or the
isothermal sound speed increase. For luminous cases, on the other hand, disk
winds are always supersonic, since critical points disappear due to the
characteristic nature of the disk gravitational fields. The boundary between
the transonic and supersonic types is located at around $\hat{F}_{\rm c} \sim
0.1 (\epsilon+p)/(\rho c^2)/\gamma_{\rm c}$, where $\hat{F}_{\rm c}$ is the
radiative flux at the critical point normalized by the local Eddington
luminosity, $(\epsilon+p)/(\rho c^2)$ is the enthalpy of the gas divided by the
rest mass energy, and $\gamma_{\rm c}$ is the Lorentz factor of the wind
velocity at the critical point. In the transonic winds, the final speed becomes
0.4--0.8$c$ for typical parameters, while it can reach $\sim c$ in the
supersonic winds.
| astro-ph | accretion disk winds browing off perpendicular to a luminous disk are examined in the framework of fully special relativistic radiation hydrodynamics the wind is assumed to be steady vertical and isothermal and the gravitational fields is approximated by a pseudonewtonian potential using a velocitydependent variable eddington factor we can solve the rigorous equations of relativistic radiative hydrodynamics and can obtain radiatively driven winds accelerated up to the it relativistic speed for less luminous cases disk winds are transonic types passing through saddle type critical points and the final speed of winds increases as the disk flux andor the isothermal sound speed increase for luminous cases on the other hand disk winds are always supersonic since critical points disappear due to the characteristic nature of the disk gravitational fields the boundary between the transonic and supersonic types is located at around hatf_rm c sim 01 epsilonprho c2gamma_rm c where hatf_rm c is the radiative flux at the critical point normalized by the local eddington luminosity epsilonprho c2 is the enthalpy of the gas divided by the rest mass energy and gamma_rm c is the lorentz factor of the wind velocity at the critical point in the transonic winds the final speed becomes 0408c for typical parameters while it can reach sim c in the supersonic winds | [['accretion', 'disk', 'winds', 'browing', 'off', 'perpendicular', 'to', 'a', 'luminous', 'disk', 'are', 'examined', 'in', 'the', 'framework', 'of', 'fully', 'special', 'relativistic', 'radiation', 'hydrodynamics', 'the', 'wind', 'is', 'assumed', 'to', 'be', 'steady', 'vertical', 'and', 'isothermal', 'and', 'the', 'gravitational', 'fields', 'is', 'approximated', 'by', 'a', 'pseudonewtonian', 'potential', 'using', 'a', 'velocitydependent', 'variable', 'eddington', 'factor', 'we', 'can', 'solve', 'the', 'rigorous', 'equations', 'of', 'relativistic', 'radiative', 'hydrodynamics', 'and', 'can', 'obtain', 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711.1387 | Radiative Transfer in Relativistic Accretion-Disk Winds | Radiative transfer in a relativistic accretion disk wind is examined under
the plane-parallel approximation in the fully special relativistic treatment.
For an equilibrium flow, where the flow speed and the source function are
constant, the emergent intensity is analytically obtained. In such an
equilibrium flow the usual limb-darkening effect does not appear, since the
source function is constant. Due to the Doppler and aberration effects
associated with the relativistic motion of winds, however, the emergent
intensity is strongly enhanced toward the flow direction. This is the {\it
relativistic peaking effect}. We thus carefully treat and estimate the
appearance of relativistic winds and jets, when we observe them in an arbitrary
direction.
| astro-ph | radiative transfer in a relativistic accretion disk wind is examined under the planeparallel approximation in the fully special relativistic treatment for an equilibrium flow where the flow speed and the source function are constant the emergent intensity is analytically obtained in such an equilibrium flow the usual limbdarkening effect does not appear since the source function is constant due to the doppler and aberration effects associated with the relativistic motion of winds however the emergent intensity is strongly enhanced toward the flow direction this is the it relativistic peaking effect we thus carefully treat and estimate the appearance of relativistic winds and jets when we observe them in an arbitrary direction | [['radiative', 'transfer', 'in', 'a', 'relativistic', 'accretion', 'disk', 'wind', 'is', 'examined', 'under', 'the', 'planeparallel', 'approximation', 'in', 'the', 'fully', 'special', 'relativistic', 'treatment', 'for', 'an', 'equilibrium', 'flow', 'where', 'the', 'flow', 'speed', 'and', 'the', 'source', 'function', 'are', 'constant', 'the', 'emergent', 'intensity', 'is', 'analytically', 'obtained', 'in', 'such', 'an', 'equilibrium', 'flow', 'the', 'usual', 'limbdarkening', 'effect', 'does', 'not', 'appear', 'since', 'the', 'source', 'function', 'is', 'constant', 'due', 'to', 'the', 'doppler', 'and', 'aberration', 'effects', 'associated', 'with', 'the', 'relativistic', 'motion', 'of', 'winds', 'however', 'the', 'emergent', 'intensity', 'is', 'strongly', 'enhanced', 'toward', 'the', 'flow', 'direction', 'this', 'is', 'the', 'it', 'relativistic', 'peaking', 'effect', 'we', 'thus', 'carefully', 'treat', 'and', 'estimate', 'the', 'appearance', 'of', 'relativistic', 'winds', 'and', 'jets', 'when', 'we', 'observe', 'them', 'in', 'an', 'arbitrary', 'direction']] | [-0.11073149531567889, 0.1577802642015478, -0.08231714792707469, 0.10529151258923046, -0.08535638424307779, -0.11638731292558012, -0.052054424944275, 0.4160059784111139, -0.2994641584453282, -0.27626271469535324, 0.060723623730712106, -0.2518975809856259, -0.05517759991585285, 0.169916288885246, -0.02626614580937737, 0.020192325383693248, 0.020441136708869052, -0.013633374317742145, -0.051666367823132976, -0.1471019270158633, 0.3293870844928598, 0.11858688956252425, 0.24557095657413205, 0.05867746464492803, 0.08301699702703469, -0.008993979769985418, -0.03399158585900525, 0.06154399331625517, -0.09664886439353362, 0.016033228302189895, 0.15475373638810608, 0.04117199371535822, 0.2413256530997895, -0.41183899465512047, -0.27799709502876074, 0.035361479938466535, 0.15124213817604892, 0.14734981360694244, -0.04861433452062376, -0.20555946757798796, -0.0032168061279498777, -0.18229819728304875, -0.17369825765490532, -0.002069619756930315, 0.03142914810712944, 0.010057691603202608, -0.2789241756597819, 0.09768908773339144, 0.08627450498458636, 0.06496667342579311, -0.08364649185373842, -0.03845908365690628, -0.040577802068746845, 0.09941085170338829, 0.09964606918819717, 0.06640150857174786, 0.1663501283053208, -0.19001895546187386, -0.03300549182201828, 0.4610061596676305, -0.08691420176943244, -0.20463611201492246, 0.1572205831783379, -0.22172837727073882, -0.06545924180950802, 0.17112855920001763, 0.19064575002469994, 0.1513610961469444, -0.12402516404685443, 0.020932989627089317, -0.020394865075243754, 0.12056676001363509, 0.023211465338832355, -0.015221528461421127, 0.2451690788305289, 0.059432654861813865, 0.04718085721990949, 0.133923428846305, -0.15897671522877835, -0.10698634227695833, -0.29984507513408726, -0.10825100218088508, -0.1126919273320619, 0.07849827654010025, -0.09871501934049684, -0.15618115635001445, 0.33897131743530434, 0.13105959486350552, 0.1589106890002874, -0.023106723541377095, 0.3472357395163796, 0.20120494441876002, 0.016611059091414686, 0.1933697380738014, 0.3510206493439975, 0.15325493571927418, 0.11600089879488354, -0.31142877974874666, 0.0929724861891848, 0.050743916013219335] |
711.1388 | Spherical Relativistic Radiation Flows with Variable Eddington Factor | We solve spherically symmetric radiation flows under full special relativity
with the help of a variable Eddington factor $f(\tau, \beta)$, where $\tau$ is
the optical depth and $\beta$ is the flow velocity normalized by the speed of
light. Relativistic radiation hydrodynamics under the moment formalism has
several complex problems, such as a closure relation. Conventional moment
equations closed with the traditional Eddington approximation in the comoving
frame have singularity, beyond which the flow cannot be accelerated. In order
to avoid such a pathological behavior inherent in the relativistic moment
formalism, we propose a variable Eddington factor, which depends on the flow
velocity as well as the optical depth, for the case of the sperically symmertic
one-dimensional flow. We then calculate the relaticistic spherical flow with
such variable Eddington factors to investigate the case that gas is accelerated
by radiative force. As a result, it is shown that the gas speed reaches around
the speed of light by radiation pressure.
| astro-ph | we solve spherically symmetric radiation flows under full special relativity with the help of a variable eddington factor ftau beta where tau is the optical depth and beta is the flow velocity normalized by the speed of light relativistic radiation hydrodynamics under the moment formalism has several complex problems such as a closure relation conventional moment equations closed with the traditional eddington approximation in the comoving frame have singularity beyond which the flow cannot be accelerated in order to avoid such a pathological behavior inherent in the relativistic moment formalism we propose a variable eddington factor which depends on the flow velocity as well as the optical depth for the case of the sperically symmertic onedimensional flow we then calculate the relaticistic spherical flow with such variable eddington factors to investigate the case that gas is accelerated by radiative force as a result it is shown that the gas speed reaches around the speed of light by radiation pressure | [['we', 'solve', 'spherically', 'symmetric', 'radiation', 'flows', 'under', 'full', 'special', 'relativity', 'with', 'the', 'help', 'of', 'a', 'variable', 'eddington', 'factor', 'ftau', 'beta', 'where', 'tau', 'is', 'the', 'optical', 'depth', 'and', 'beta', 'is', 'the', 'flow', 'velocity', 'normalized', 'by', 'the', 'speed', 'of', 'light', 'relativistic', 'radiation', 'hydrodynamics', 'under', 'the', 'moment', 'formalism', 'has', 'several', 'complex', 'problems', 'such', 'as', 'a', 'closure', 'relation', 'conventional', 'moment', 'equations', 'closed', 'with', 'the', 'traditional', 'eddington', 'approximation', 'in', 'the', 'comoving', 'frame', 'have', 'singularity', 'beyond', 'which', 'the', 'flow', 'can', 'not', 'be', 'accelerated', 'in', 'order', 'to', 'avoid', 'such', 'a', 'pathological', 'behavior', 'inherent', 'in', 'the', 'relativistic', 'moment', 'formalism', 'we', 'propose', 'a', 'variable', 'eddington', 'factor', 'which', 'depends', 'on', 'the', 'flow', 'velocity', 'as', 'well', 'as', 'the', 'optical', 'depth', 'for', 'the', 'case', 'of', 'the', 'sperically', 'symmertic', 'onedimensional', 'flow', 'we', 'then', 'calculate', 'the', 'relaticistic', 'spherical', 'flow', 'with', 'such', 'variable', 'eddington', 'factors', 'to', 'investigate', 'the', 'case', 'that', 'gas', 'is', 'accelerated', 'by', 'radiative', 'force', 'as', 'a', 'result', 'it', 'is', 'shown', 'that', 'the', 'gas', 'speed', 'reaches', 'around', 'the', 'speed', 'of', 'light', 'by', 'radiation', 'pressure']] | [-0.09093102888603825, 0.14381961148398317, -0.07282539315122791, 0.06132546929452734, -0.06136618382564396, -0.10569905673278271, -0.012625223565861512, 0.37737701090266274, -0.2780355582678109, -0.2493083084263145, 0.08526184911480779, -0.24141959064331642, -0.06464338133847163, 0.20264217630028725, -0.038489040290227955, 0.0762802585010316, -0.0031831068132120144, 0.059275244343373334, -0.09037676810992847, -0.18653266084718573, 0.32622449124931907, 0.07590305996216407, 0.24446612501599987, 0.03213693197315357, 0.11316948518702749, -0.02411859995643994, 0.007367909562649431, 0.07400409575955123, -0.12221613749581801, 0.019434779063816285, 0.17477067951765504, 0.08785292172543467, 0.251853184145727, -0.39187562231798984, -0.26292751363484534, 0.08361130313069862, 0.12589666385434947, 0.07269512955544244, -0.025876078527023314, -0.20950093322914023, 0.036476469797432236, -0.19514934427941302, -0.19121385981020322, -0.04411109114231862, 0.029384464280573046, 0.05261696634256536, -0.25771716755820784, 0.13053264910248435, 0.060366071530048304, 0.00869163281764764, -0.048416300187373806, -0.04523036719350275, 0.025031264939576768, 0.05702569973091506, 0.10684971977136495, 0.0810626838623196, 0.17571614650938255, -0.16473833524034756, -0.03000206199984784, 0.46142502871763175, -0.10905913664932677, -0.19735909086076697, 0.14201916094904968, -0.18712256617167858, -0.059309488370018024, 0.15547608767834842, 0.18934354996961203, 0.14293019030432982, -0.11922457046023789, 0.07286879481342888, -0.045923399028611506, 0.15789352600654782, 0.08232804520684443, -0.016849286163190178, 0.2222985718547586, 0.11503866770168304, 0.028251537313139077, 0.12122827519701236, -0.1418718713273407, -0.09093853133689066, -0.2988608767320016, -0.1596857019026551, -0.12583703759191617, 0.10215725081056656, -0.13663935533175645, -0.15702851829441578, 0.3386624698782233, 0.1103167563089567, 0.18194507473818722, 0.04176464853185425, 0.3436477454379201, 0.19876541035653206, 0.05724853459355617, 0.1495491239052432, 0.30564551945230006, 0.16148575650272998, 0.10366030141657848, -0.27165648396494707, 0.03912015621710545, 0.11741867634930477] |
711.1389 | From Rota-Baxter Algebras to Pre-Lie Algebras | Rota-Baxter algebras were introduced to solve some analytic and combinatorial
problems and have appeared in many fields in mathematics and mathematical
physics. Rota-Baxter algebras provide a construction of pre-Lie algebras from
associative algebras. In this paper, we give all Rota-Baxter operators of
weight 1 on complex associative algebras in dimension $\leq 3$ and their
corresponding pre-Lie algebras.
| math-ph math.MP math.QA | rotabaxter algebras were introduced to solve some analytic and combinatorial problems and have appeared in many fields in mathematics and mathematical physics rotabaxter algebras provide a construction of prelie algebras from associative algebras in this paper we give all rotabaxter operators of weight 1 on complex associative algebras in dimension leq 3 and their corresponding prelie algebras | [['rotabaxter', 'algebras', 'were', 'introduced', 'to', 'solve', 'some', 'analytic', 'and', 'combinatorial', 'problems', 'and', 'have', 'appeared', 'in', 'many', 'fields', 'in', 'mathematics', 'and', 'mathematical', 'physics', 'rotabaxter', 'algebras', 'provide', 'a', 'construction', 'of', 'prelie', 'algebras', 'from', 'associative', 'algebras', 'in', 'this', 'paper', 'we', 'give', 'all', 'rotabaxter', 'operators', 'of', 'weight', '1', 'on', 'complex', 'associative', 'algebras', 'in', 'dimension', 'leq', '3', 'and', 'their', 'corresponding', 'prelie', 'algebras']] | [-0.09742674189047855, 0.054807609835590576, -0.02384835367270729, 0.12877788594637982, -0.21156212469775296, -0.19399003780103827, -0.12891185404365196, 0.3981023836848244, -0.4354643845816323, -0.2124137705224648, 0.14052998840710834, -0.23114665969389311, -0.19848534827561756, 0.18482582833160432, -0.22008513837333835, -0.07325404403698549, 0.08308223068812176, 0.12176205320416525, -0.14468386251540147, -0.3290653057363734, 0.488083597881262, 0.009583118363495981, 0.14183498502365852, 0.026116874469280765, 0.10948573253852756, -0.003019929651105613, -0.08021540037895504, -0.05125443697008386, -0.24465842179039068, 0.12619635750327193, 0.4322632146639782, 0.07047428453357465, 0.23403482299232692, -0.41577205650116267, -0.006665924420527166, 0.14476684281569824, 0.1945330614567195, 0.03525798597879577, -0.04446437970628929, -0.2155034327961243, -0.0025422722999856135, -0.27329148626641225, -0.046262222146125215, -0.10373714949380149, 0.10495976731998094, -0.006841742400929593, -0.23381500949331543, 0.04133011017550241, 0.10167317935714923, 0.24663112567443596, -0.17628927824593948, -0.19771131637849307, -0.0473442265371743, 0.04154015860005625, -0.16923714857221694, -0.07051163475568357, 0.11707108073230636, -0.07946113395308585, -0.313684858806562, 0.27340187912545444, 0.13741664243698642, -0.23512701990834453, 0.12635070974366708, -0.20339592474537263, -0.2508019434386178, 0.02965402382573015, 0.05532155250476902, 0.08436313573793884, -0.07926190066919253, 0.2683677852782829, -0.10124296271814066, -0.07600566386163496, 0.17931227155617976, 0.05339756405405831, 0.09164382308198694, 0.08023864396831445, -0.005047917673405129, 0.13734616304077862, 0.19083456558649214, -0.02134200418367982, -0.3029365857507576, -0.17120038156383344, -0.01362940902911584, 0.16498520331489935, -0.11252057781798373, -0.20894562286373816, 0.4432085483220586, 0.19339871707192638, 0.1376667662376636, 0.1310465147784143, 0.12109476401830059, 0.04569431472765772, 0.20196841754480838, 0.04817230033835298, 0.08172963929144061, 0.401648803029961, 0.1430557633325327, -0.015941453096865302, -0.14674452547823372, 0.253312121684614] |
711.139 | The Star Formation Demographics of Galaxies in the Local Volume | We examine the connections between the current global star formation
activity, luminosity, dynamical mass and morphology of galaxies in the Local
Volume, using H-alpha data from the 11 Mpc H-alpha and Ultraviolet Galaxy
Survey (11HUGS). Taking the equivalent width (EW) of the H-alpha emission line
as a tracer of the specific star formation rate, we analyze the distribution of
galaxies in the M_B-EW and rotational velocity (V_{max})-EW planes.
Star-forming galaxies show two characteristic transitions in these planes. A
narrowing of the galaxy locus occurs at M_B~-15 and V_{max}~50 km/s, where the
scatter in the logarithmic EWs drops by a factor of two as the
luminosities/masses increase, and galaxy morphologies shift from predominately
irregular to late-type spiral. Another transition occurs at M_B~-19 and
V_{max}~120 km/s, above which the sequence turns off toward lower EWs and
becomes mostly populated by intermediate and early-type bulge-prominent
spirals. Between these two transitions, the mean logarithmic EW appears to
remain constant at 30 A. We comment on how these features reflect established
empirical relationships, and provide clues for identifying the large-scale
physical processes that both drive and regulate star formation, with emphasis
on the low-mass galaxies that dominate our approximately volume-limited sample.
| astro-ph | we examine the connections between the current global star formation activity luminosity dynamical mass and morphology of galaxies in the local volume using halpha data from the 11 mpc halpha and ultraviolet galaxy survey 11hugs taking the equivalent width ew of the halpha emission line as a tracer of the specific star formation rate we analyze the distribution of galaxies in the m_bew and rotational velocity v_maxew planes starforming galaxies show two characteristic transitions in these planes a narrowing of the galaxy locus occurs at m_b15 and v_max50 kms where the scatter in the logarithmic ews drops by a factor of two as the luminositiesmasses increase and galaxy morphologies shift from predominately irregular to latetype spiral another transition occurs at m_b19 and v_max120 kms above which the sequence turns off toward lower ews and becomes mostly populated by intermediate and earlytype bulgeprominent spirals between these two transitions the mean logarithmic ew appears to remain constant at 30 a we comment on how these features reflect established empirical relationships and provide clues for identifying the largescale physical processes that both drive and regulate star formation with emphasis on the lowmass galaxies that dominate our approximately volumelimited sample | [['we', 'examine', 'the', 'connections', 'between', 'the', 'current', 'global', 'star', 'formation', 'activity', 'luminosity', 'dynamical', 'mass', 'and', 'morphology', 'of', 'galaxies', 'in', 'the', 'local', 'volume', 'using', 'halpha', 'data', 'from', 'the', '11', 'mpc', 'halpha', 'and', 'ultraviolet', 'galaxy', 'survey', '11hugs', 'taking', 'the', 'equivalent', 'width', 'ew', 'of', 'the', 'halpha', 'emission', 'line', 'as', 'a', 'tracer', 'of', 'the', 'specific', 'star', 'formation', 'rate', 'we', 'analyze', 'the', 'distribution', 'of', 'galaxies', 'in', 'the', 'm_bew', 'and', 'rotational', 'velocity', 'v_maxew', 'planes', 'starforming', 'galaxies', 'show', 'two', 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'physical', 'processes', 'that', 'both', 'drive', 'and', 'regulate', 'star', 'formation', 'with', 'emphasis', 'on', 'the', 'lowmass', 'galaxies', 'that', 'dominate', 'our', 'approximately', 'volumelimited', 'sample']] | [-0.07372825653690501, 0.09963326860268257, -0.04444475630298257, 0.1320556860190424, -0.056975768056796175, -0.054351172984063036, 0.05717839696413935, 0.45537448692086496, -0.1727557137106104, -0.3263760337385496, 0.043739251100066066, -0.2861455784090427, -0.048296037929034544, 0.1596449308366956, 0.024373777472953263, -0.06120753824882405, 0.005164993301916279, -0.0809321484514696, -0.06713336226714187, -0.26110883600715745, 0.3450015420829387, 0.029445260531563117, 0.21527775961440057, -0.014761779681008958, 0.05687170908602543, -0.11321630303864368, -0.08832775838673115, -0.02497515618605049, -0.17861212773875051, 0.019911783107856632, 0.23176936164718906, 0.11695148142201728, 0.23792124296489514, -0.33415924072442543, -0.1459732168648196, 0.06506271819755631, 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711.1391 | Leading coefficients of Kazhdan--Lusztig polynomials for Deodhar
elements | We show that the leading coefficient of the Kazhdan--Lusztig polynomial
$P_{x,w}(q)$ known as $\mu(x,w)$ is always either 0 or 1 when $w$ is a Deodhar
element of a finite Weyl group. The Deodhar elements have previously been
characterized using pattern avoidance by Billey--Warrington (2001) and
Billey--Jones (2007). In type $A$, these elements are precisely the 321-hexagon
avoiding permutations. Using Deodhar's (1990) algorithm, we provide some
combinatorial criteria to determine when $\mu(x,w) = 1$ for such permutations
$w$.
| math.CO math.RT | we show that the leading coefficient of the kazhdanlusztig polynomial p_xwq known as muxw is always either 0 or 1 when w is a deodhar element of a finite weyl group the deodhar elements have previously been characterized using pattern avoidance by billeywarrington 2001 and billeyjones 2007 in type a these elements are precisely the 321hexagon avoiding permutations using deodhars 1990 algorithm we provide some combinatorial criteria to determine when muxw 1 for such permutations w | [['we', 'show', 'that', 'the', 'leading', 'coefficient', 'of', 'the', 'kazhdanlusztig', 'polynomial', 'p_xwq', 'known', 'as', 'muxw', 'is', 'always', 'either', '0', 'or', '1', 'when', 'w', 'is', 'a', 'deodhar', 'element', 'of', 'a', 'finite', 'weyl', 'group', 'the', 'deodhar', 'elements', 'have', 'previously', 'been', 'characterized', 'using', 'pattern', 'avoidance', 'by', 'billeywarrington', '2001', 'and', 'billeyjones', '2007', 'in', 'type', 'a', 'these', 'elements', 'are', 'precisely', 'the', '321hexagon', 'avoiding', 'permutations', 'using', 'deodhars', '1990', 'algorithm', 'we', 'provide', 'some', 'combinatorial', 'criteria', 'to', 'determine', 'when', 'muxw', '1', 'for', 'such', 'permutations', 'w']] | [-0.10593981118614061, 0.12376921803742233, -0.06570122119349737, 0.033274276303321436, -0.08840541194917427, -0.16671624900643817, 0.04779678756151245, 0.37286194452705484, -0.32780166500661934, -0.2631226096289336, 0.1306243875798019, -0.22999438617262058, -0.15625238932423396, 0.16477151606684654, -0.10188857292006206, 0.03772299352567643, 0.03216690540042085, 0.059858947575574147, -0.05707554204036569, -0.2923660238981635, 0.3198259541661375, -0.018175111359192267, 0.1813184328428987, -0.0311145565032752, 0.07780052796523604, -0.0156758248534364, -0.07161665511860822, 0.025235814627699762, -0.1371282049129958, 0.038812037457116984, 0.25848396595231155, 0.11418777588793698, 0.21529579276749347, -0.34750135182144326, -0.13268506054818216, 0.17372989264064623, 0.15278955056823584, 0.08346820071003297, -0.050829327353211634, -0.2433414694904867, 0.16977402854374507, -0.18548671249300241, -0.15429462619876075, -0.024345196563647024, 0.09412531374255195, 0.0441691738475735, -0.31512236864202553, 0.026265549861515563, 0.09903873520670459, 0.11514148517097864, 0.040379349620909326, -0.20051794363340983, 0.00675825698999688, 0.10451486499853975, -0.026994090611373797, 0.011313406627676968, 0.023935506184999313, -0.059258218376069434, -0.17600574685881534, 0.3825768460519612, 0.00997525236258904, -0.20998670745434034, 0.14564670789210746, -0.1315885245373162, -0.1342359753131556, 0.12261682203582798, 0.05425653849185134, 0.11131488635227368, -0.07436951980222754, 0.15080306065808852, -0.13399820392239942, 0.08450044584201856, 0.16207572993072164, -0.03187237182606219, 0.09194073382402873, 0.050866635393403054, 0.049915207346202806, 0.0859013586369757, -0.028471036167401407, 0.027463803494659562, -0.28549707199757296, -0.19754454877693206, -0.14406597535384613, 0.06327041735898496, -0.09596671076057343, -0.1642901450638116, 0.37175747467618847, 0.04017735068919137, 0.2021860408389734, 0.04799217651856856, 0.18647844380595618, 0.11637815977802449, 0.056044506430882594, 0.06892022252496746, 0.16020426169214058, 0.16371513355018882, -0.010454565275318196, -0.17833683820855287, 0.0827059344543765, 0.20949592339133638] |
711.1392 | Nuclear-spin relaxation of $^{207}$Pb in ferroelectric powders | Motivated by a recent proposal by O. P. Sushkov and co-workers to search for
a P,T-violating Schiff moment of the $^{207}$Pb nucleus in a ferroelectric
solid, we have carried out a high-field nuclear magnetic resonance study of the
longitudinal and transverse spin relaxation of the lead nuclei from room
temperature down to 10 K for powder samples of lead titanate (PT), lead
zirconium titanate (PZT), and a PT monocrystal. For all powder samples and
independently of temperature, transverse relaxation times were found to be
$T_2\approx 1.5 $ms, while the longitudinal relaxation times exhibited a
temperature dependence, with $T_1$ of over an hour at the lowest temperatures,
decreasing to $T_1\approx 7 $s at room temperature. At high temperatures, the
observed behavior is consistent with a two-phonon Raman process, while in the
low temperature limit, the relaxation appears to be dominated by a
single-phonon (direct) process involving magnetic impurities. This is the first
study of temperature-dependent nuclear-spin relaxation in PT and PZT
ferroelectrics at such low temperatures. We discuss the implications of the
results for the Schiff-moment search.
| cond-mat.other physics.atom-ph quant-ph | motivated by a recent proposal by o p sushkov and coworkers to search for a ptviolating schiff moment of the 207pb nucleus in a ferroelectric solid we have carried out a highfield nuclear magnetic resonance study of the longitudinal and transverse spin relaxation of the lead nuclei from room temperature down to 10 k for powder samples of lead titanate pt lead zirconium titanate pzt and a pt monocrystal for all powder samples and independently of temperature transverse relaxation times were found to be t_2approx 15 ms while the longitudinal relaxation times exhibited a temperature dependence with t_1 of over an hour at the lowest temperatures decreasing to t_1approx 7 s at room temperature at high temperatures the observed behavior is consistent with a twophonon raman process while in the low temperature limit the relaxation appears to be dominated by a singlephonon direct process involving magnetic impurities this is the first study of temperaturedependent nuclearspin relaxation in pt and pzt ferroelectrics at such low temperatures we discuss the implications of the results for the schiffmoment search | [['motivated', 'by', 'a', 'recent', 'proposal', 'by', 'o', 'p', 'sushkov', 'and', 'coworkers', 'to', 'search', 'for', 'a', 'ptviolating', 'schiff', 'moment', 'of', 'the', '207pb', 'nucleus', 'in', 'a', 'ferroelectric', 'solid', 'we', 'have', 'carried', 'out', 'a', 'highfield', 'nuclear', 'magnetic', 'resonance', 'study', 'of', 'the', 'longitudinal', 'and', 'transverse', 'spin', 'relaxation', 'of', 'the', 'lead', 'nuclei', 'from', 'room', 'temperature', 'down', 'to', '10', 'k', 'for', 'powder', 'samples', 'of', 'lead', 'titanate', 'pt', 'lead', 'zirconium', 'titanate', 'pzt', 'and', 'a', 'pt', 'monocrystal', 'for', 'all', 'powder', 'samples', 'and', 'independently', 'of', 'temperature', 'transverse', 'relaxation', 'times', 'were', 'found', 'to', 'be', 't_2approx', '15', 'ms', 'while', 'the', 'longitudinal', 'relaxation', 'times', 'exhibited', 'a', 'temperature', 'dependence', 'with', 't_1', 'of', 'over', 'an', 'hour', 'at', 'the', 'lowest', 'temperatures', 'decreasing', 'to', 't_1approx', '7', 's', 'at', 'room', 'temperature', 'at', 'high', 'temperatures', 'the', 'observed', 'behavior', 'is', 'consistent', 'with', 'a', 'twophonon', 'raman', 'process', 'while', 'in', 'the', 'low', 'temperature', 'limit', 'the', 'relaxation', 'appears', 'to', 'be', 'dominated', 'by', 'a', 'singlephonon', 'direct', 'process', 'involving', 'magnetic', 'impurities', 'this', 'is', 'the', 'first', 'study', 'of', 'temperaturedependent', 'nuclearspin', 'relaxation', 'in', 'pt', 'and', 'pzt', 'ferroelectrics', 'at', 'such', 'low', 'temperatures', 'we', 'discuss', 'the', 'implications', 'of', 'the', 'results', 'for', 'the', 'schiffmoment', 'search']] | [-0.07715171166410335, 0.25984748279633113, -0.062468117635933997, -0.02351720724109748, 0.001787663534326705, -0.1045563219685775, 0.10023589079528024, 0.4115482200733844, -0.2225594017385489, -0.3009850426194812, 0.05674522352402201, -0.31219323550625516, 0.0025004459211247503, 0.19759217313506958, 0.07645228129913868, 0.003072503114366807, -0.056971937609093554, -0.006307449974752209, -0.11215216779006064, -0.19305751600970295, 0.21118333079243842, 0.06921971362956256, 0.27887523196088526, 0.097997413066021, 0.06983085557807646, -0.00056190773813344, 0.0922439607328633, 0.021441432333825897, -0.13874970702454448, -0.007444005559139342, 0.27254975821306077, -0.08035217557974547, 0.18220990555457814, -0.41887413606995105, -0.17891858711016412, 0.027999875434496672, 0.08621581946365062, 0.12983099561295003, -0.07667430398199772, -0.22257031257616927, 0.08071364615532446, -0.11347371193572255, -0.1261615872381772, -0.0969608826243966, 0.03588596258495498, -0.019322305471593287, -0.28873752617422555, 0.12901141957482162, 0.07164505206457625, 0.13149184401475453, -0.1021861632750235, -0.20167102317010843, -0.029514947977466132, 0.006005108536818641, 0.09534520576028369, 0.08358527599790838, 0.19652945493385626, -0.05997700433817428, -0.1109420390950376, 0.32949858555042677, -0.057521543342410185, -0.0038582682098138193, 0.1754874743593889, -0.23229330861833314, -0.10099833591092873, 0.23629669333684306, 0.13438861482814385, 0.1645343392559817, -0.16608608409094844, 0.05567215038113554, 0.0581575474308836, 0.17542321012608406, 0.10106766933704474, 0.031780199013176684, 0.22928564854483038, 0.22566735895210607, -0.0013717565202016942, 0.14836396202660365, -0.1331976311862727, 0.0015076540109050067, -0.21430549341000918, -0.15433587205752386, -0.17316963080642475, 0.10462038363787653, -0.0927065893957382, -0.0980330246602955, 0.3595130870537967, 0.08742679374985939, 0.23123687737206847, -0.021431060955385984, 0.22826684525537955, 0.09959959925887191, 0.08330335114097406, 0.02920700371739148, 0.2491481275690687, 0.20540945505389588, 0.1667195290584128, -0.33734890399635314, 0.07824529526887106, -0.032368004758104765] |
711.1393 | Complementarity of LHC and ILC | Two next-generation high-energy experiments, the Large Hadron Collider (LHC)
and the $e^+e^-$ International Linear Collider (ILC), are highly expected to
unravel the new structure of matter and forces from the electroweak scale to
the TeV scale. In this talk we give a compelling but rather descriptive review
of the complementary role of LHC and ILC in drawing a comprehensive and high
precision picture of the mechanism breaking the electroweak symmetries and
generating mass, the unification of forces and the structure of spacetime.
Supersymmetry is exploited in this description as a prototype scenario of the
physics beyond the Standard Model.
| hep-ph | two nextgeneration highenergy experiments the large hadron collider lhc and the ee international linear collider ilc are highly expected to unravel the new structure of matter and forces from the electroweak scale to the tev scale in this talk we give a compelling but rather descriptive review of the complementary role of lhc and ilc in drawing a comprehensive and high precision picture of the mechanism breaking the electroweak symmetries and generating mass the unification of forces and the structure of spacetime supersymmetry is exploited in this description as a prototype scenario of the physics beyond the standard model | [['two', 'nextgeneration', 'highenergy', 'experiments', 'the', 'large', 'hadron', 'collider', 'lhc', 'and', 'the', 'ee', 'international', 'linear', 'collider', 'ilc', 'are', 'highly', 'expected', 'to', 'unravel', 'the', 'new', 'structure', 'of', 'matter', 'and', 'forces', 'from', 'the', 'electroweak', 'scale', 'to', 'the', 'tev', 'scale', 'in', 'this', 'talk', 'we', 'give', 'a', 'compelling', 'but', 'rather', 'descriptive', 'review', 'of', 'the', 'complementary', 'role', 'of', 'lhc', 'and', 'ilc', 'in', 'drawing', 'a', 'comprehensive', 'and', 'high', 'precision', 'picture', 'of', 'the', 'mechanism', 'breaking', 'the', 'electroweak', 'symmetries', 'and', 'generating', 'mass', 'the', 'unification', 'of', 'forces', 'and', 'the', 'structure', 'of', 'spacetime', 'supersymmetry', 'is', 'exploited', 'in', 'this', 'description', 'as', 'a', 'prototype', 'scenario', 'of', 'the', 'physics', 'beyond', 'the', 'standard', 'model']] | [-0.09466926982823873, 0.18074108324380536, -0.11378219583532725, 0.1570865692455566, -0.12217082880964183, -0.1302854318096481, -0.014459609721947198, 0.29585377399743806, -0.2663322726894885, -0.31210984116551854, 0.05861026358748363, -0.2741660135092609, -0.05317902256443043, 0.14729385978937376, 0.0923077217350253, 0.08726991529604702, 0.039275179993398864, -0.02676775964974153, -0.05396854799626527, -0.2180639446825918, 0.2617466340001409, 0.20347295788991632, 0.24297603225391923, 0.11916699459790393, 0.11142527942329344, -0.013171299158435578, -0.04019720887182036, -0.03795783902810077, -0.09357804892528238, 0.145844367634966, 0.2582716742022471, 0.1191094938120005, 0.1789075367510168, -0.41097311002926695, -0.125666077371047, 0.10799774065886558, 0.08831917918804619, 0.1295707490050582, -0.11862385836476931, -0.2960296070222, 0.06905356155134587, -0.2425105052087644, -0.1275764281551043, -0.06560737633550859, -0.042989950716457885, -0.0772582461041483, -0.25728396016920946, 0.04545300819845212, 0.0038775962288256243, 0.07670839661450098, -0.0035856149719106127, -0.1207258722584958, -0.029511697900791962, 0.0015534043801252288, 0.09342413270584957, 0.01832879754724075, 0.14871491192642486, -0.2519049158348053, -0.1934867776140119, 0.46683255665832096, -0.017475157827985557, -0.10165285152110337, 0.22255126018114765, -0.23178154930020822, -0.17990537627242656, 0.07547938245151078, 0.27858447514337986, 0.050599221013147726, -0.17169660930121977, 0.1856429301580941, -0.014516754913134406, 0.1777637997087129, 0.01790856383740902, 0.09305249706305789, 0.28521463438642747, 0.3015562290645609, 0.053757013094545614, 0.05385186783781256, -0.05877142325937371, -0.06696731010169694, -0.483772254614818, -0.09458211292465678, -0.08446333527263969, 0.01895893201575323, -0.03864746170049072, -0.08221813281903965, 0.4117510761275436, 0.16240179975695831, 0.2619097204784853, -0.011247088737560041, 0.29240463315180004, 0.021562991907227446, 0.08400428611044349, -0.01226346436423494, 0.3352779291777147, 0.08380214018615509, 0.14458019845187664, -0.20913011446416455, -0.012247591317076274, 0.08267188382175084] |
711.1394 | An abundance analysis of bright giants in the globular cluster NGC 1851 | We present the chemical compositions for eight bright giants in the globular
cluster NGC 1851. Our analysis reveals large star-to-star abundance variations
and correlations of the light elements O, Na, and Al, a feature found in every
well studied globular cluster. However, NGC 1851 also exhibits large
star-to-star abundance variations of the s-process elements Zr and La. These
s-process elements are correlated with Al, and anticorrelated with O.
Furthermore, the Zr and La abundances appear to cluster around two distinct
values. A recent study revealed a double subgiant branch in NGC 1851. Our data
reinforce the notion that there are two stellar populations in NGC 1851 and
indicate that this cluster has experienced a complicated formation history with
similarities to omega Centauri.
| astro-ph | we present the chemical compositions for eight bright giants in the globular cluster ngc 1851 our analysis reveals large startostar abundance variations and correlations of the light elements o na and al a feature found in every well studied globular cluster however ngc 1851 also exhibits large startostar abundance variations of the sprocess elements zr and la these sprocess elements are correlated with al and anticorrelated with o furthermore the zr and la abundances appear to cluster around two distinct values a recent study revealed a double subgiant branch in ngc 1851 our data reinforce the notion that there are two stellar populations in ngc 1851 and indicate that this cluster has experienced a complicated formation history with similarities to omega centauri | [['we', 'present', 'the', 'chemical', 'compositions', 'for', 'eight', 'bright', 'giants', 'in', 'the', 'globular', 'cluster', 'ngc', '1851', 'our', 'analysis', 'reveals', 'large', 'startostar', 'abundance', 'variations', 'and', 'correlations', 'of', 'the', 'light', 'elements', 'o', 'na', 'and', 'al', 'a', 'feature', 'found', 'in', 'every', 'well', 'studied', 'globular', 'cluster', 'however', 'ngc', '1851', 'also', 'exhibits', 'large', 'startostar', 'abundance', 'variations', 'of', 'the', 'sprocess', 'elements', 'zr', 'and', 'la', 'these', 'sprocess', 'elements', 'are', 'correlated', 'with', 'al', 'and', 'anticorrelated', 'with', 'o', 'furthermore', 'the', 'zr', 'and', 'la', 'abundances', 'appear', 'to', 'cluster', 'around', 'two', 'distinct', 'values', 'a', 'recent', 'study', 'revealed', 'a', 'double', 'subgiant', 'branch', 'in', 'ngc', '1851', 'our', 'data', 'reinforce', 'the', 'notion', 'that', 'there', 'are', 'two', 'stellar', 'populations', 'in', 'ngc', '1851', 'and', 'indicate', 'that', 'this', 'cluster', 'has', 'experienced', 'a', 'complicated', 'formation', 'history', 'with', 'similarities', 'to', 'omega', 'centauri']] | [-0.06143386116571969, 0.09255722095640223, -0.08801400532457428, 0.06000717249450839, -0.03480522456143784, -0.06383268729798862, 0.06840945483704448, 0.47052324514408583, -0.1563729932240676, -0.3575413406551739, -0.08435361040756106, -0.34839768298581, -0.11491636389897006, 0.14611548059295526, -0.11251059577601855, -0.11921978131073553, 0.17376132559825164, -0.07264241405961211, -0.020079290616463442, -0.3390345511591581, 0.2967305026001862, -0.03090451228311648, 0.14908824056448017, -0.07777120511917794, -0.040374193767078036, -0.12238416744426625, -0.035447840914740916, 0.004375513849138725, -0.12092354698700651, 0.05774770966982927, 0.27251573244384564, 0.1359884289520808, 0.18806034622744458, -0.31997071032018254, -0.1724418392404914, 0.03975487919524312, 0.26176325382939614, 0.024084696065268068, -0.18343160028920555, -0.2971236190346421, 0.06135066994084198, -0.14356503250520128, -0.20124407754027757, 0.0804150695836202, 0.11957641498597919, 0.04619737919973454, -0.2129704124126278, 0.14257848524411215, 0.009324116221071816, 0.1589130456406684, -0.11824392845098418, -0.2360249616617917, -0.07253800721297071, 0.07704440840962724, 0.008004182018339634, 0.01107567065723668, 0.11273808520025817, -0.002303710220702237, 0.031384105488780095, 0.38423211411496655, -0.10617295556251326, 0.07468469362308988, 0.26183177031515564, -0.22106378285031095, -0.2990676929323064, 0.027025690561801683, 0.058633355286399846, 0.12068698329843397, -0.15532107669554773, 0.08921903044416676, -0.02935990641756197, 0.24696399411186576, 0.1017923920556567, 0.07778639602093179, 0.24796362421246337, 0.0855323460418731, 0.004331470511998737, -0.0014227873981609697, -0.2266158769021696, -0.06552909957874781, -0.14220901219876575, -0.11363262548035041, -0.019005849442185193, 0.005649863155444198, -0.1878207853843065, -0.20863070201174524, 0.28713829058902834, 0.03887861770134969, 0.2602752091050087, -0.08129013970601143, 0.23128052836009225, 0.028254020310266584, 0.10755070430211357, 0.12234877736964186, 0.24771005725946094, 0.25880361932375634, 0.10645130673637156, -0.34048669095166395, 0.14558597024364137, 0.0005351883878351235] |
711.1395 | Bulk scalar emission from a rotating black hole pierced by a tense brane | We study the emission of scalar fields into the bulk from a six-dimensional
rotating black hole pierced by a 3-brane. We determine the angular eigenvalues
in the presence of finite brane tension by using the continued fraction method.
The radial equation is integrated numerically, giving the absorption
probability (graybody factor) in a wider frequency range than in the
preexisting literature. We then compute the power and angular momentum emission
spectra for different values of the rotation parameter and brane tension, and
compare their relative behavior in detail. As is expected from the earlier
result for a nonrotating black hole, the finite brane tension suppresses the
emission rates. As the rotation parameter increases, the power spectra are
reduced at low frequencies due to the smaller Hawking temperature and are
enhanced at high frequencies due to superradiance. The angular momentum spectra
are enhanced over the whole frequency range as the rotation parameter
increases. The spectra and the amounts of energy and angular momentum radiated
away into the bulk are thus determined by the interplay of these effects.
| hep-th gr-qc hep-ph | we study the emission of scalar fields into the bulk from a sixdimensional rotating black hole pierced by a 3brane we determine the angular eigenvalues in the presence of finite brane tension by using the continued fraction method the radial equation is integrated numerically giving the absorption probability graybody factor in a wider frequency range than in the preexisting literature we then compute the power and angular momentum emission spectra for different values of the rotation parameter and brane tension and compare their relative behavior in detail as is expected from the earlier result for a nonrotating black hole the finite brane tension suppresses the emission rates as the rotation parameter increases the power spectra are reduced at low frequencies due to the smaller hawking temperature and are enhanced at high frequencies due to superradiance the angular momentum spectra are enhanced over the whole frequency range as the rotation parameter increases the spectra and the amounts of energy and angular momentum radiated away into the bulk are thus determined by the interplay of these effects | [['we', 'study', 'the', 'emission', 'of', 'scalar', 'fields', 'into', 'the', 'bulk', 'from', 'a', 'sixdimensional', 'rotating', 'black', 'hole', 'pierced', 'by', 'a', '3brane', 'we', 'determine', 'the', 'angular', 'eigenvalues', 'in', 'the', 'presence', 'of', 'finite', 'brane', 'tension', 'by', 'using', 'the', 'continued', 'fraction', 'method', 'the', 'radial', 'equation', 'is', 'integrated', 'numerically', 'giving', 'the', 'absorption', 'probability', 'graybody', 'factor', 'in', 'a', 'wider', 'frequency', 'range', 'than', 'in', 'the', 'preexisting', 'literature', 'we', 'then', 'compute', 'the', 'power', 'and', 'angular', 'momentum', 'emission', 'spectra', 'for', 'different', 'values', 'of', 'the', 'rotation', 'parameter', 'and', 'brane', 'tension', 'and', 'compare', 'their', 'relative', 'behavior', 'in', 'detail', 'as', 'is', 'expected', 'from', 'the', 'earlier', 'result', 'for', 'a', 'nonrotating', 'black', 'hole', 'the', 'finite', 'brane', 'tension', 'suppresses', 'the', 'emission', 'rates', 'as', 'the', 'rotation', 'parameter', 'increases', 'the', 'power', 'spectra', 'are', 'reduced', 'at', 'low', 'frequencies', 'due', 'to', 'the', 'smaller', 'hawking', 'temperature', 'and', 'are', 'enhanced', 'at', 'high', 'frequencies', 'due', 'to', 'superradiance', 'the', 'angular', 'momentum', 'spectra', 'are', 'enhanced', 'over', 'the', 'whole', 'frequency', 'range', 'as', 'the', 'rotation', 'parameter', 'increases', 'the', 'spectra', 'and', 'the', 'amounts', 'of', 'energy', 'and', 'angular', 'momentum', 'radiated', 'away', 'into', 'the', 'bulk', 'are', 'thus', 'determined', 'by', 'the', 'interplay', 'of', 'these', 'effects']] | [-0.11746981760753053, 0.19035015967275415, -0.02998620025414441, 0.07288423432702465, -0.06980073990167251, -0.0648020237817296, 0.02577215958918844, 0.3346562139210956, -0.22771113965128148, -0.3221340256450432, 0.054445124270527494, -0.3069431304346238, -0.0057223663532308166, 0.21384953470235424, -0.00030103805874075206, -0.002254333442126933, -0.012215266445917743, -0.008307594047593219, -0.08251641225335854, -0.1560329847277275, 0.34794352794864347, 0.1257888996015702, 0.27730667886856414, 0.047167119832842476, 0.07094765334257058, -0.046641133993065784, -0.028123127227383, 0.051488250943033824, -0.16001625587099363, 0.042797587686883555, 0.19848283878261488, 0.04593756797590426, 0.17405763808903948, -0.3637999370907034, -0.2232785094043772, 0.08892732243319708, 0.1877213982572513, 0.1363031770807824, -0.03516798141279391, -0.23398948832947228, 0.05834031010312694, -0.19221672166770856, -0.16622778207861952, -0.025920623455728802, 0.06219272850613509, -0.004962936666394983, -0.22094904150148587, 0.1552371511927673, 0.021782815392736146, 0.02329113588801452, -0.1238054858999593, -0.10053101140074432, -0.1251099413447082, 0.08033793615443366, 0.11781264360195824, 0.014120057228553508, 0.1826718113651233, -0.1206830259518964, -0.0382272420910054, 0.3511949434716787, -0.08701129527804109, -0.1693806485490807, 0.13802742397545703, -0.234011139171198, -0.023779281528467047, 0.20835952330912863, 0.1716434854801212, 0.14497967038569706, -0.08174944069103471, 0.09860887803353502, 0.04026370738632977, 0.1662704107697521, 0.11635689912629979, 0.08583378534764051, 0.31056713335216046, 0.080598321251039, 0.0018948083317705563, 0.16802004997219358, -0.14205395073230778, -0.07620955595214451, -0.2647956129057067, -0.10165788073624883, -0.1702917282868709, 0.07790502676075059, -0.16209211794609604, -0.10202803903113818, 0.3810400878371937, 0.09045420637387516, 0.2554889191554061, 0.04255371873400041, 0.31249432480760986, 0.15949607870940652, 0.06986792595657919, 0.07506415016683085, 0.31799947969083275, 0.1476257435698062, 0.13985707531150962, -0.30349877264882835, -0.0316898749156722, 0.026646233278193644] |
711.1396 | Novikov-symplectic cohomology and exact Lagrangian embeddings | Let L be an exact Lagrangian submanifold inside the cotangent bundle of a
closed manifold N. We prove that if N satisfies a mild homotopy assumption then
the image of \pi_2(L) in \pi_2(N) has finite index.
We make no assumption on the Maslov class of L, and we make no orientability
assumptions. The homotopy assumption is either that N is simply connected, or
more generally that \pi_m(N) is finitely generated for each m \geq 2.
The result is proved by constructing the Novikov homology theory for
symplectic cohomology and generalizing Viterbo's construction of a transfer map
between the homologies of the free loopspaces of N and L.
| math.SG math.GT | let l be an exact lagrangian submanifold inside the cotangent bundle of a closed manifold n we prove that if n satisfies a mild homotopy assumption then the image of pi_2l in pi_2n has finite index we make no assumption on the maslov class of l and we make no orientability assumptions the homotopy assumption is either that n is simply connected or more generally that pi_mn is finitely generated for each m geq 2 the result is proved by constructing the novikov homology theory for symplectic cohomology and generalizing viterbos construction of a transfer map between the homologies of the free loopspaces of n and l | [['let', 'l', 'be', 'an', 'exact', 'lagrangian', 'submanifold', 'inside', 'the', 'cotangent', 'bundle', 'of', 'a', 'closed', 'manifold', 'n', 'we', 'prove', 'that', 'if', 'n', 'satisfies', 'a', 'mild', 'homotopy', 'assumption', 'then', 'the', 'image', 'of', 'pi_2l', 'in', 'pi_2n', 'has', 'finite', 'index', 'we', 'make', 'no', 'assumption', 'on', 'the', 'maslov', 'class', 'of', 'l', 'and', 'we', 'make', 'no', 'orientability', 'assumptions', 'the', 'homotopy', 'assumption', 'is', 'either', 'that', 'n', 'is', 'simply', 'connected', 'or', 'more', 'generally', 'that', 'pi_mn', 'is', 'finitely', 'generated', 'for', 'each', 'm', 'geq', '2', 'the', 'result', 'is', 'proved', 'by', 'constructing', 'the', 'novikov', 'homology', 'theory', 'for', 'symplectic', 'cohomology', 'and', 'generalizing', 'viterbos', 'construction', 'of', 'a', 'transfer', 'map', 'between', 'the', 'homologies', 'of', 'the', 'free', 'loopspaces', 'of', 'n', 'and', 'l']] | [-0.2257711320249095, 0.09972679134709604, -0.10925604108846389, 0.06409895373956086, -0.0983344210902802, -0.20610828450074992, -0.018279205162588578, 0.3474602409562347, -0.2886389035265893, -0.24266105031487173, 0.07209092959013876, -0.2381484291444604, -0.1497600039426918, 0.16205472256898737, -0.12927465696926588, -0.04995094884921295, 0.07603124911502863, 0.12316900866482264, -0.07850702369558768, -0.24384322489920754, 0.42064739845675203, -0.04289687369376994, 0.18654792355867428, 0.06920848224455348, 0.12421656652944736, 0.01417136389332322, -0.019803633904442765, -0.014808839538510745, -0.15540542007448283, 0.10506878551453926, 0.254807061694849, 0.08902698202067628, 0.21838018989029268, -0.38768857346776014, -0.15821329402136214, 0.22862843156774312, 0.1255926890209174, -0.03592732319017299, 0.018796579207516446, -0.23442250422130412, 0.2094339073787873, -0.12375270612896062, -0.169226293975953, -0.0423528677246605, 0.11393246107484, -0.01252723175387543, -0.2701567920918863, -0.061989962588995695, 0.14483617424355963, 0.10378401254554494, -0.04378918403437218, -0.05841958729657703, -0.103247518498952, 0.06584414325726147, 0.0006501170887181965, 0.06714628495795366, 0.10257577159567378, -0.05777800547030683, -0.06391593531365149, 0.35243569026575783, -0.08142703889797513, -0.2955100490496709, 0.09828661334736702, -0.1241866515752358, -0.20197102318231303, 0.14919596208402744, -0.015065135922318755, 0.17049921598607817, -0.01624769044932551, 0.2480007711727432, -0.1437344074567171, 0.13132273806079936, 0.11381258812392704, -0.05179606972300322, 0.098204301786609, 0.09880756398174875, 0.15094008277922583, 0.0848700142758809, -0.010740262158483697, -0.04098662287623693, -0.3620776734314859, -0.2193041832262959, -0.18467641106018653, 0.2223975824084706, -0.12658663055047398, -0.15741860630581728, 0.30904195339490587, 0.04929451296965663, 0.18921443288435022, 0.1704334259713785, 0.25408192260119206, 0.0609759638111707, 0.027210871178585175, 0.10514469853100869, 0.10491626868427445, 0.2168569653272593, -0.050609993741650566, -0.11335346380320306, -0.007641047008711701, 0.21662275066438058] |
711.1397 | Quantum Chernoff Bound metric for the XY model at finite temperature | We explore the finite temperature phase diagram of the anisotropic XY spin
chain using the Quantum Chernoff Bound metric on thermal states. The analysis
of the metric elements allows to easily identify, in terms of different scaling
with temperature, quasi-classical and quantum-critical regions. These results
extend recent ones obtained using the Bures metric and show that different
information-theoretic notions of distance can carry the same sophisticated
information about the phase diagram of an interacting many-body system
featuring quantum-critical points.
| quant-ph | we explore the finite temperature phase diagram of the anisotropic xy spin chain using the quantum chernoff bound metric on thermal states the analysis of the metric elements allows to easily identify in terms of different scaling with temperature quasiclassical and quantumcritical regions these results extend recent ones obtained using the bures metric and show that different informationtheoretic notions of distance can carry the same sophisticated information about the phase diagram of an interacting manybody system featuring quantumcritical points | [['we', 'explore', 'the', 'finite', 'temperature', 'phase', 'diagram', 'of', 'the', 'anisotropic', 'xy', 'spin', 'chain', 'using', 'the', 'quantum', 'chernoff', 'bound', 'metric', 'on', 'thermal', 'states', 'the', 'analysis', 'of', 'the', 'metric', 'elements', 'allows', 'to', 'easily', 'identify', 'in', 'terms', 'of', 'different', 'scaling', 'with', 'temperature', 'quasiclassical', 'and', 'quantumcritical', 'regions', 'these', 'results', 'extend', 'recent', 'ones', 'obtained', 'using', 'the', 'bures', 'metric', 'and', 'show', 'that', 'different', 'informationtheoretic', 'notions', 'of', 'distance', 'can', 'carry', 'the', 'same', 'sophisticated', 'information', 'about', 'the', 'phase', 'diagram', 'of', 'an', 'interacting', 'manybody', 'system', 'featuring', 'quantumcritical', 'points']] | [-0.16860709253910788, 0.18468814425017901, -0.13422126643642596, 0.06870422504040637, -0.03137676828081095, -0.1413294913105761, 0.08566842752485242, 0.31988446874016474, -0.25494329640243935, -0.26015803163069523, 0.025794696367840885, -0.33781086269466215, -0.13722128354460944, 0.17015478183527158, -0.0015837915383185013, 0.06587197124675105, 0.006165918935373237, 0.05079373405786538, -0.17453752181940724, -0.20819807642056973, 0.3726440645471404, 0.008729403825252776, 0.3090423934538908, 0.049385951973403557, 0.06321934513346869, 0.029670879530685045, 0.020571648178598547, 0.05568079533692025, -0.20034782788054972, 0.07788177199670573, 0.25894831359545595, 0.06813750829830577, 0.14890476891511603, -0.38714294135570526, -0.23822433352941955, 0.09674872528714469, 0.1379133023298051, 0.12589183696722495, 0.02350440657553204, -0.3517698660917297, 0.020712152911741374, -0.1640215468345375, -0.14239120995036408, -0.1340847344585706, -0.05675855138091535, -0.012614949377949197, -0.2018701069799688, 0.07255365250962256, 0.05114166249957266, 0.08476993625488462, -0.01686407346941554, -0.1246798435517858, -0.018109845816853303, 0.15025586983236142, -0.021633016381742833, 0.040802271734581244, 0.14150930578596418, -0.07812111205244555, -0.13849017456103163, 0.30780007304989176, -0.043517593795410064, -0.143423185448009, 0.2131716276141756, -0.15872389764253853, -0.07467009322835674, 0.08090287566927698, 0.12359658910456715, 0.10141219275331573, -0.16927325503924226, 0.10684107928802082, 0.006127972090970489, 0.15204001073961299, 0.007636305156953727, 0.12087321207899883, 0.22481888978258718, 0.11419638828669168, 0.06081206926816626, 0.21418692239065054, -0.08582540417658872, -0.19625268201048993, -0.2716633553935003, -0.16401339954544814, -0.20770050756798325, 0.037448647409925075, -0.21656350915790298, -0.1975699355221601, 0.3796212882086446, 0.1882445268945359, 0.1858866319260737, 0.032698236190702154, 0.24646612931090064, 0.09572071387856916, -0.012745632648562329, 0.08099291908637254, 0.2396010438899828, 0.15965465518728464, 0.0505148318737651, -0.24486357664035138, 0.028603310833826567, 0.11138330214904456] |
711.1398 | An Introduction to the Density Matrix Renormalization Group Ansatz in
Quantum Chemistry | The Density Matrix Renormalisation Group (DMRG) is an electronic structure
method that has recently been applied to ab-initio quantum chemistry. Even at
this early stage, it has enabled the solution of many problems that would
previously have been intractable with any other method, in particular,
multireference problems with very large active spaces. Historically, the DMRG
was not originally formulated from a wavefunction perspective, but rather in a
Renormalisation Group (RG) language. However, it is now realised that a
wavefunction view of the DMRG provides a more convenient, and in some cases
more powerful, paradigm. Here we provide an expository introduction to the DMRG
ansatz in the context of quantum chemistry.
| cond-mat.str-el | the density matrix renormalisation group dmrg is an electronic structure method that has recently been applied to abinitio quantum chemistry even at this early stage it has enabled the solution of many problems that would previously have been intractable with any other method in particular multireference problems with very large active spaces historically the dmrg was not originally formulated from a wavefunction perspective but rather in a renormalisation group rg language however it is now realised that a wavefunction view of the dmrg provides a more convenient and in some cases more powerful paradigm here we provide an expository introduction to the dmrg ansatz in the context of quantum chemistry | [['the', 'density', 'matrix', 'renormalisation', 'group', 'dmrg', 'is', 'an', 'electronic', 'structure', 'method', 'that', 'has', 'recently', 'been', 'applied', 'to', 'abinitio', 'quantum', 'chemistry', 'even', 'at', 'this', 'early', 'stage', 'it', 'has', 'enabled', 'the', 'solution', 'of', 'many', 'problems', 'that', 'would', 'previously', 'have', 'been', 'intractable', 'with', 'any', 'other', 'method', 'in', 'particular', 'multireference', 'problems', 'with', 'very', 'large', 'active', 'spaces', 'historically', 'the', 'dmrg', 'was', 'not', 'originally', 'formulated', 'from', 'a', 'wavefunction', 'perspective', 'but', 'rather', 'in', 'a', 'renormalisation', 'group', 'rg', 'language', 'however', 'it', 'is', 'now', 'realised', 'that', 'a', 'wavefunction', 'view', 'of', 'the', 'dmrg', 'provides', 'a', 'more', 'convenient', 'and', 'in', 'some', 'cases', 'more', 'powerful', 'paradigm', 'here', 'we', 'provide', 'an', 'expository', 'introduction', 'to', 'the', 'dmrg', 'ansatz', 'in', 'the', 'context', 'of', 'quantum', 'chemistry']] | [-0.07871608001984318, 0.10023351916434793, -0.1990537912373177, 0.0789210239901546, -0.09702863959087567, -0.15151340571147473, 0.010127967151559211, 0.40396962795745245, -0.24173563462682068, -0.28111104352230376, 0.09949410886461423, -0.21808156320317226, -0.19480517669580877, 0.20437131769325456, -0.01307293960231949, 0.06764030324464494, 0.060892611064694145, 0.021150895557630892, -0.13002993065059523, -0.26220875602342525, 0.27744940021921966, 0.09027045342690226, 0.26849311529658737, 0.0547378931702538, 0.050237271964380686, -0.017648958711122924, 0.012232461000200022, 0.041521922061970556, -0.06980717769097695, 0.12334504578135569, 0.34851725348694756, 0.09999833706004375, 0.33751918777019124, -0.4591640285131606, -0.2552090387987185, 0.057900443201122635, 0.17579910272986374, 0.20605348459529607, -0.1051700848350513, -0.28814811057157136, 0.04298991331491958, -0.2519628557164899, -0.14010117611138742, -0.13690188987053592, 0.028328438856723634, -0.1146991343756037, -0.18409801306023094, 0.038637351481751965, -0.04152434082617137, 0.0638363371052864, 0.0007796173817372288, -0.11071373411792923, 0.050896532795476644, 0.09603441570546817, 0.045030487951060585, 0.08430009692145342, 0.10240095916987312, -0.1298483407527039, -0.09160934896208346, 0.4228408615358851, 0.010870742086659778, -0.17958883467892353, 0.22723114497282287, -0.0884635775942694, -0.22485303950115024, 0.11443480215966702, 0.07152045049746944, 0.13288942712136884, -0.16915655683101663, 0.18090599943746136, -0.0781005868402479, 0.1730265487832102, -0.021954542144455694, 0.0020483511457727714, 0.1362194861116057, 0.14211533723018047, 0.07431512654557909, 0.07687612342785789, -0.029628063539381733, -0.1394218025194608, -0.2129167976619845, -0.15243630871515382, -0.21649348694958132, 0.07311379810469754, -0.04822951937927759, -0.19855558114888316, 0.37577363648875195, 0.1470740604002706, 0.1174394773488695, -0.01936360578984022, 0.25436938949437304, 0.12002904847772285, 0.09525393330312165, 0.07293035011018881, 0.21638169144412545, 0.17960150023202665, 0.08141235778616233, -0.19066635513974522, 0.07652809874747288, 0.10953215906523507] |
711.1399 | Microwave-Absorption-Induced Heating of Surface State Electrons on
Liquid 3He | A resonance-induced change in the resistivity of the surface state electrons
(SSE) exposed to the microwave (MW) radiation is observed. The MW frequency
corresponds to the transition energy between two lowest Rydberg energy levels.
All measurements are done with electrons over liquid 3He in a temperature range
0.45-0.65 K, in which the electron relaxation time and the MW absorption
linewidth are determined by collisions with helium vapor atoms. The input MW
power is varied by two orders of magnitude, and the resistivity is always found
to increase. This effect is attributed to the heating of electrons with the
resonance MW radiation. The temperature and the momentum relaxation rate of the
hot electrons are calculated as a function of the MW power in the cell, and the
Rabi frequency is determined from the comparison of the theoretical result with
the experiment. In addition, the broadening of the absorption signal caused by
the heating is studied experimentally, and the results are found to be in good
agreement with our calculations.
| cond-mat.other cond-mat.str-el | a resonanceinduced change in the resistivity of the surface state electrons sse exposed to the microwave mw radiation is observed the mw frequency corresponds to the transition energy between two lowest rydberg energy levels all measurements are done with electrons over liquid 3he in a temperature range 045065 k in which the electron relaxation time and the mw absorption linewidth are determined by collisions with helium vapor atoms the input mw power is varied by two orders of magnitude and the resistivity is always found to increase this effect is attributed to the heating of electrons with the resonance mw radiation the temperature and the momentum relaxation rate of the hot electrons are calculated as a function of the mw power in the cell and the rabi frequency is determined from the comparison of the theoretical result with the experiment in addition the broadening of the absorption signal caused by the heating is studied experimentally and the results are found to be in good agreement with our calculations | [['a', 'resonanceinduced', 'change', 'in', 'the', 'resistivity', 'of', 'the', 'surface', 'state', 'electrons', 'sse', 'exposed', 'to', 'the', 'microwave', 'mw', 'radiation', 'is', 'observed', 'the', 'mw', 'frequency', 'corresponds', 'to', 'the', 'transition', 'energy', 'between', 'two', 'lowest', 'rydberg', 'energy', 'levels', 'all', 'measurements', 'are', 'done', 'with', 'electrons', 'over', 'liquid', '3he', 'in', 'a', 'temperature', 'range', '045065', 'k', 'in', 'which', 'the', 'electron', 'relaxation', 'time', 'and', 'the', 'mw', 'absorption', 'linewidth', 'are', 'determined', 'by', 'collisions', 'with', 'helium', 'vapor', 'atoms', 'the', 'input', 'mw', 'power', 'is', 'varied', 'by', 'two', 'orders', 'of', 'magnitude', 'and', 'the', 'resistivity', 'is', 'always', 'found', 'to', 'increase', 'this', 'effect', 'is', 'attributed', 'to', 'the', 'heating', 'of', 'electrons', 'with', 'the', 'resonance', 'mw', 'radiation', 'the', 'temperature', 'and', 'the', 'momentum', 'relaxation', 'rate', 'of', 'the', 'hot', 'electrons', 'are', 'calculated', 'as', 'a', 'function', 'of', 'the', 'mw', 'power', 'in', 'the', 'cell', 'and', 'the', 'rabi', 'frequency', 'is', 'determined', 'from', 'the', 'comparison', 'of', 'the', 'theoretical', 'result', 'with', 'the', 'experiment', 'in', 'addition', 'the', 'broadening', 'of', 'the', 'absorption', 'signal', 'caused', 'by', 'the', 'heating', 'is', 'studied', 'experimentally', 'and', 'the', 'results', 'are', 'found', 'to', 'be', 'in', 'good', 'agreement', 'with', 'our', 'calculations']] | [-0.10246070815406427, 0.21211875821491646, -0.01785861238179182, 0.010185241878372869, 0.02220132266879528, -0.06739031853332758, 0.051436209078030495, 0.3788458760409521, -0.2428849329767626, -0.3573473140285044, -0.02328874678964431, -0.3253055584455232, 0.005566484456558427, 0.22430252955674368, 0.030373476434521332, 0.011370931163675593, -0.008200402714557456, 0.002279367454037695, -0.03905336205250846, -0.1998715767829294, 0.25244913196949637, 0.11265305641893587, 0.28202940371935953, 0.07193634259754313, 0.05999546804504391, -0.0713021888653469, 0.03097395740538657, -0.009043185291309914, -0.12058760586311806, 0.04160711495362607, 0.25387270077170726, -0.026286112891878197, 0.19444762821125236, -0.4181544277705475, -0.22064504517008088, 0.06451301843981945, 0.0942182726126365, 0.10534480287941608, -0.06524518837881815, -0.21286983377004634, 0.02468900123128701, -0.13851590625227925, -0.12964938960489844, 0.0008060129493207274, 0.008869582787156105, 0.040813263689556775, -0.2721561391218872, 0.12226737143010358, 0.04030760685065594, 0.0583827405687248, -0.0921288020155967, -0.10561704284561697, -0.053698145344917535, 0.04991080596608048, 0.05901814280719145, 0.057527190068747826, 0.20894785739849517, -0.07738803844818076, -0.08243128269754663, 0.39897935364596143, -0.11390975522557775, -0.06661313706081817, 0.15778932953532226, -0.23616842682679703, 0.007279149449045608, 0.20613895881987973, 0.08747534477012511, 0.057656332273259316, -0.13974910053357617, 0.030724943931629983, 0.005615640406547014, 0.197161691590954, 0.12227979602716016, 0.05290520460790819, 0.21077772750223647, 0.1669151551190563, -0.00185604597034747, 0.128501936370189, -0.13667566069362763, -0.04800058148026154, -0.2231151648186437, -0.10771487990363214, -0.20012945222353262, 0.052207587845902334, -0.05545481262841153, -0.07791852744708876, 0.4258640964074941, 0.11576946931026742, 0.22734765240972762, -0.03015378078593577, 0.34568836966328725, 0.20115172929021746, 0.06696317274915334, 0.07508656479771009, 0.315161954249049, 0.19541859400352676, 0.11909033236174682, -0.3322876193797673, 0.060716567134406575, -0.05013555924067954] |
711.14 | Polynomials associated with Partitions: Polynomials associated with
Partitions: Their Asymptotics and Zeros | Let $p_n$ be the number of partitions of an integer $n$. For each of the
partition statistics of counting their parts, ranks, or cranks, there is a
natural family of integer polynomials. We investigate their asymptotics and the
limiting behavior of their zeros as sets and densities.
| math.CO | let p_n be the number of partitions of an integer n for each of the partition statistics of counting their parts ranks or cranks there is a natural family of integer polynomials we investigate their asymptotics and the limiting behavior of their zeros as sets and densities | [['let', 'p_n', 'be', 'the', 'number', 'of', 'partitions', 'of', 'an', 'integer', 'n', 'for', 'each', 'of', 'the', 'partition', 'statistics', 'of', 'counting', 'their', 'parts', 'ranks', 'or', 'cranks', 'there', 'is', 'a', 'natural', 'family', 'of', 'integer', 'polynomials', 'we', 'investigate', 'their', 'asymptotics', 'and', 'the', 'limiting', 'behavior', 'of', 'their', 'zeros', 'as', 'sets', 'and', 'densities']] | [-0.20991303379389833, 0.13697115569455956, -0.08567534129511803, 0.04609458449920838, -0.03630511006934846, -0.0732446823645621, 0.051676924399873043, 0.28434144725349353, -0.2710690798356812, -0.2945235717070705, 0.09016081408419191, -0.34248197161929406, -0.12779575319802192, 0.1400656147632114, -0.04203839927039882, 0.05881006884923641, -0.03868129393680299, 0.10425105696900729, -0.06243986132098956, -0.306466780444409, 0.3146504093397488, -0.05209593787947868, 0.18923138452574928, 0.01568797758800235, 0.07343476012032082, 0.012690294286275798, 0.0005773903029237656, 0.004816379871199581, -0.1298909313144519, 0.12840500008314848, 0.2801060476043123, 0.16504781522807924, 0.27977842415504633, -0.3769733511466295, -0.05754707087861731, 0.2646710836388012, 0.18137004484046013, -0.03293634528056421, 0.034306292144700566, -0.20505686956358718, 0.11166549701877732, -0.11673477105796337, -0.1760640844028998, -0.0645124963088397, 0.10547590866546205, 0.11228590149016297, -0.32117369358843945, -0.01069373681031643, 0.07435424246904539, 0.10658066773271942, 0.02449976138651688, -0.25210486526818987, -0.02301720906782182, 0.16436583751396455, 0.03171885768050685, -0.05745008519474179, 0.03256545965857011, -0.15264940675982136, -0.14928664611850648, 0.3649831314192233, 0.05928573545385549, -0.2699120949874533, 0.11459804036000625, -0.2044172805159333, -0.14949352403191177, 0.09855635178850052, 0.13404669359009316, 0.17620897625989101, -0.014662875417382159, 0.11961873529350107, -0.12881244980591408, 0.10216526207613184, 0.15372671928018966, 0.06146800084079199, 0.24867093222255401, 0.03804145705826739, 0.046168516013533514, 0.21397746788050503, -0.023673375870319122, -0.022972250902193025, -0.29820363243368075, -0.18290700525679487, -0.28207636727614604, 0.11136532830014984, -0.18231166172413493, -0.23966234383430887, 0.40743317328234935, 0.08923514263625158, 0.2390099498740536, 0.1888699323295596, 0.18702657148241997, 0.1648015919849871, 0.0016316586580286002, 0.02609370183199644, -0.0164465746010079, 0.1680622125995603, -0.02365350568706685, -0.17779662849460828, 0.059585092212767046, 0.15641844593622584] |
711.1401 | Towards a Sound Theory of Adaptation for the Simple Genetic Algorithm | The pace of progress in the fields of Evolutionary Computation and Machine
Learning is currently limited -- in the former field, by the improbability of
making advantageous extensions to evolutionary algorithms when their capacity
for adaptation is poorly understood, and in the latter by the difficulty of
finding effective semi-principled reductions of hard real-world problems to
relatively simple optimization problems. In this paper we explain why a theory
which can accurately explain the simple genetic algorithm's remarkable capacity
for adaptation has the potential to address both these limitations. We describe
what we believe to be the impediments -- historic and analytic -- to the
discovery of such a theory and highlight the negative role that the building
block hypothesis (BBH) has played. We argue based on experimental results that
a fundamental limitation which is widely believed to constrain the SGA's
adaptive ability (and is strongly implied by the BBH) is in fact illusionary
and does not exist. The SGA therefore turns out to be more powerful than it is
currently thought to be. We give conditions under which it becomes feasible to
numerically approximate and study the multivariate marginals of the search
distribution of an infinite population SGA over multiple generations even when
its genomes are long, and explain why this analysis is relevant to the riddle
of the SGA's remarkable adaptive abilities.
| cs.NE cs.AI | the pace of progress in the fields of evolutionary computation and machine learning is currently limited in the former field by the improbability of making advantageous extensions to evolutionary algorithms when their capacity for adaptation is poorly understood and in the latter by the difficulty of finding effective semiprincipled reductions of hard realworld problems to relatively simple optimization problems in this paper we explain why a theory which can accurately explain the simple genetic algorithms remarkable capacity for adaptation has the potential to address both these limitations we describe what we believe to be the impediments historic and analytic to the discovery of such a theory and highlight the negative role that the building block hypothesis bbh has played we argue based on experimental results that a fundamental limitation which is widely believed to constrain the sgas adaptive ability and is strongly implied by the bbh is in fact illusionary and does not exist the sga therefore turns out to be more powerful than it is currently thought to be we give conditions under which it becomes feasible to numerically approximate and study the multivariate marginals of the search distribution of an infinite population sga over multiple generations even when its genomes are long and explain why this analysis is relevant to the riddle of the sgas remarkable adaptive abilities | [['the', 'pace', 'of', 'progress', 'in', 'the', 'fields', 'of', 'evolutionary', 'computation', 'and', 'machine', 'learning', 'is', 'currently', 'limited', 'in', 'the', 'former', 'field', 'by', 'the', 'improbability', 'of', 'making', 'advantageous', 'extensions', 'to', 'evolutionary', 'algorithms', 'when', 'their', 'capacity', 'for', 'adaptation', 'is', 'poorly', 'understood', 'and', 'in', 'the', 'latter', 'by', 'the', 'difficulty', 'of', 'finding', 'effective', 'semiprincipled', 'reductions', 'of', 'hard', 'realworld', 'problems', 'to', 'relatively', 'simple', 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711.1402 | Tannaka-Krein reconstruction and a characterization of modular tensor
categories | We show that every modular category is equivalent as an additive ribbon
category to the category of finite-dimensional comodules of a Weak Hopf
Algebra. This Weak Hopf Algebra is finite-dimensional, split cosemisimple,
weakly cofactorizable, coribbon and has trivially intersecting base algebras.
In order to arrive at this characterization of modular categories, we develop a
generalization of Tannaka-Krein reconstruction to the long version of the
canonical forgetful functor which is lax and oplax monoidal, but not in general
strong monoidal, thereby avoiding all the difficulties related to non-integral
Frobenius-Perron dimensions.
| math.QA math-ph math.MP | we show that every modular category is equivalent as an additive ribbon category to the category of finitedimensional comodules of a weak hopf algebra this weak hopf algebra is finitedimensional split cosemisimple weakly cofactorizable coribbon and has trivially intersecting base algebras in order to arrive at this characterization of modular categories we develop a generalization of tannakakrein reconstruction to the long version of the canonical forgetful functor which is lax and oplax monoidal but not in general strong monoidal thereby avoiding all the difficulties related to nonintegral frobeniusperron dimensions | [['we', 'show', 'that', 'every', 'modular', 'category', 'is', 'equivalent', 'as', 'an', 'additive', 'ribbon', 'category', 'to', 'the', 'category', 'of', 'finitedimensional', 'comodules', 'of', 'a', 'weak', 'hopf', 'algebra', 'this', 'weak', 'hopf', 'algebra', 'is', 'finitedimensional', 'split', 'cosemisimple', 'weakly', 'cofactorizable', 'coribbon', 'and', 'has', 'trivially', 'intersecting', 'base', 'algebras', 'in', 'order', 'to', 'arrive', 'at', 'this', 'characterization', 'of', 'modular', 'categories', 'we', 'develop', 'a', 'generalization', 'of', 'tannakakrein', 'reconstruction', 'to', 'the', 'long', 'version', 'of', 'the', 'canonical', 'forgetful', 'functor', 'which', 'is', 'lax', 'and', 'oplax', 'monoidal', 'but', 'not', 'in', 'general', 'strong', 'monoidal', 'thereby', 'avoiding', 'all', 'the', 'difficulties', 'related', 'to', 'nonintegral', 'frobeniusperron', 'dimensions']] | [-0.17184516828538934, 0.02361740501989764, -0.038196122797671705, 0.1154635359535777, -0.19577994347359476, -0.2001764081651345, -0.06145143667659299, 0.38121227907355537, -0.4668784531002695, -0.1487646032897332, 0.08231866752083244, -0.14996675752705746, -0.14880409827773375, 0.13259371935220604, -0.22300002046606757, -0.1087899798747623, 0.1220880081157454, 0.14006360073108226, -0.11095777193920432, -0.2670560351385079, 0.46285573074551806, 0.011858449230203405, 0.25740853817710146, 0.01156464055053551, 0.12292303805853325, 0.047486014674756334, 0.037912932960104874, 0.011134441952559759, -0.1037578423292044, 0.09354872066019611, 0.3689139715649865, 0.03371370501223613, 0.2008504925801059, -0.35604968766876316, -0.040980219089595434, 0.1833349431399256, 0.151181937713938, 0.07526821543499616, 0.02652701106721493, -0.33640266073317354, 0.12096894361771278, -0.28022219508420676, -0.0671904438376342, -0.09302996966157066, 0.10533989751076495, -0.05308114837812768, -0.27151831305606966, -0.05394716397991446, 0.14776685068764808, 0.09984081726476936, -0.08857833752567372, -0.024928395918157712, -0.11428448734064163, 0.08477847512536259, -0.08389161916354416, 0.04240752536332531, 0.11639034714144972, -0.10590595537161623, -0.13996319175666114, 0.3399751709604805, -0.0368796522498914, -0.2100474985676225, 0.17270941895020026, -0.14756628991083495, -0.1942024223231287, 0.16831273697739976, -0.023811107088642366, 0.11408579383384097, -0.06729153370146047, 0.21682850913732016, -0.18745807769962333, 0.04538636265550105, 0.11376171888233247, 0.0355695169180928, 0.14118331304582005, 0.1108390729747374, 0.05130441025407477, 0.16242155277590922, 0.06415370940654115, -0.061543042395814235, -0.36475555183873937, -0.1785987502556633, -0.015699169766528277, 0.171804713892429, -0.061873746056583266, -0.22209241102047433, 0.39075556257210503, 0.14042890864022245, 0.16403665397956502, 0.17979621356062125, 0.21404049867785283, 0.06894302617332539, 0.12645848591769623, 0.01407190400112251, 0.13243052708408373, 0.3210469062059102, 0.0016584149244326081, -0.0430229440693934, -0.06967589286465557, 0.266087123404511] |
711.1403 | Slow light with flat or offset band edges in multi-mode fiber with two
gratings | We consider mode coupling in multimode optical fibers using either two Bragg
gratings or a Bragg grating and a long-period grating. We show that the
magnitude of the band edge curvature can be controlled leading to a flat,
quartic band-edge or to two band edges at distinct, nonequivalent $k$-values,
allowing precise control of slow light propagation.
| physics.optics | we consider mode coupling in multimode optical fibers using either two bragg gratings or a bragg grating and a longperiod grating we show that the magnitude of the band edge curvature can be controlled leading to a flat quartic bandedge or to two band edges at distinct nonequivalent kvalues allowing precise control of slow light propagation | [['we', 'consider', 'mode', 'coupling', 'in', 'multimode', 'optical', 'fibers', 'using', 'either', 'two', 'bragg', 'gratings', 'or', 'a', 'bragg', 'grating', 'and', 'a', 'longperiod', 'grating', 'we', 'show', 'that', 'the', 'magnitude', 'of', 'the', 'band', 'edge', 'curvature', 'can', 'be', 'controlled', 'leading', 'to', 'a', 'flat', 'quartic', 'bandedge', 'or', 'to', 'two', 'band', 'edges', 'at', 'distinct', 'nonequivalent', 'kvalues', 'allowing', 'precise', 'control', 'of', 'slow', 'light', 'propagation']] | [-0.24174358488692502, 0.20663828925795055, -0.07812128391482734, -0.02667469877217497, -0.11891071835998446, -0.2286205655712235, 0.056949733856267164, 0.5419234491419047, -0.2741592454840429, -0.26586475666304715, 0.05552453343781443, -0.27390634385769125, -0.11813319014618173, 0.16675786689821898, -0.0161398310322381, 0.04796019921611462, 0.04215426456981471, -0.07536510262538546, -0.005804247933805787, -0.16616263267600775, 0.283632031018247, -0.04638294842360275, 0.2524753571820578, 0.027421497689959193, 0.06683883191518751, 0.09224882425873407, 0.05736956344584802, -0.002318477524178369, -0.11307563886826497, 0.09141074852751833, 0.23347859817139188, -0.12181882329085576, 0.20167672457838698, -0.4585304047380175, -0.21395501256587782, 0.0815389041589307, 0.18014635070825794, 0.12325738330504724, 0.03159798472188413, -0.26176340204464005, 0.006943769125168079, -0.06992066593375057, -0.18303501878732018, -0.018909742224163244, -0.060087484041494985, -0.01713030762039125, -0.2342029908405883, 0.012772716348990798, 0.01868754129723779, 0.03687081070217703, -0.013622870573142012, -0.02747949753289244, -0.0993878814375161, -0.0035322131755362663, -0.014379558596244481, -0.035984463549019505, 0.10025072876929439, -0.07068658542786059, -0.12295685566329796, 0.3809155696736915, -0.12532287676419532, -0.07106658906143691, 0.1414333093312702, -0.18733204705131357, 0.022259609075263143, 0.213045353103163, 0.17393221291214495, 0.07830555322808712, -0.07280307825255607, -0.024484241781465244, 0.04280736789639507, 0.21879205915943853, 0.21782340021205268, 0.12602400577660383, 0.26249536173418164, 0.14314772338340326, 0.07206492541757013, 0.11859131013001648, -0.15827011271280103, 0.013556321949831076, -0.24421489957187856, -0.15660096570458595, -0.16566641823478026, 0.03481411380094609, -0.13559183472508657, -0.19866426421296118, 0.4523097930941731, 0.011984743668498206, 0.19521676885363246, -0.020771303746317114, 0.30141950651471106, 0.11800792215425256, 0.09529819838436586, 0.035822398627975156, 0.3402355401776731, 0.1388429030776024, 0.03533348098530301, -0.22035449450569494, -0.06838674580545298, -0.027609156993483857] |
711.1404 | More Detailed Descriptions of Locality and Realism | Many experiments have shown that locality-realism theory is at variance with
quantum mechanics predictions. Although locality and realism, which are two
different conceptions, are given respective definition, the descriptions of the
both are a little of abstract when they are applied to real experimental
situations. The abstract descriptions result in difficulty for one to judge
whether the variance come from locality or realism or both. Here we provide
more detailed descriptions of locality and realism, and show that any system
being in a pure state or a non-maximally mixed state has property of
non-realism. We also present experimental schemes feasible under current
technologies to test the non-locality realsim. The connections between
non-locality and entanglement and correlation are also discussed.
| quant-ph | many experiments have shown that localityrealism theory is at variance with quantum mechanics predictions although locality and realism which are two different conceptions are given respective definition the descriptions of the both are a little of abstract when they are applied to real experimental situations the abstract descriptions result in difficulty for one to judge whether the variance come from locality or realism or both here we provide more detailed descriptions of locality and realism and show that any system being in a pure state or a nonmaximally mixed state has property of nonrealism we also present experimental schemes feasible under current technologies to test the nonlocality realsim the connections between nonlocality and entanglement and correlation are also discussed | [['many', 'experiments', 'have', 'shown', 'that', 'localityrealism', 'theory', 'is', 'at', 'variance', 'with', 'quantum', 'mechanics', 'predictions', 'although', 'locality', 'and', 'realism', 'which', 'are', 'two', 'different', 'conceptions', 'are', 'given', 'respective', 'definition', 'the', 'descriptions', 'of', 'the', 'both', 'are', 'a', 'little', 'of', 'abstract', 'when', 'they', 'are', 'applied', 'to', 'real', 'experimental', 'situations', 'the', 'abstract', 'descriptions', 'result', 'in', 'difficulty', 'for', 'one', 'to', 'judge', 'whether', 'the', 'variance', 'come', 'from', 'locality', 'or', 'realism', 'or', 'both', 'here', 'we', 'provide', 'more', 'detailed', 'descriptions', 'of', 'locality', 'and', 'realism', 'and', 'show', 'that', 'any', 'system', 'being', 'in', 'a', 'pure', 'state', 'or', 'a', 'nonmaximally', 'mixed', 'state', 'has', 'property', 'of', 'nonrealism', 'we', 'also', 'present', 'experimental', 'schemes', 'feasible', 'under', 'current', 'technologies', 'to', 'test', 'the', 'nonlocality', 'realsim', 'the', 'connections', 'between', 'nonlocality', 'and', 'entanglement', 'and', 'correlation', 'are', 'also', 'discussed']] | [-0.07310920213866565, 0.11586527805377403, -0.12368866102769971, 0.12129516683570626, -0.046979230195761494, -0.20006467775704387, 0.011880407321792191, 0.3756836820553001, -0.24341750708528054, -0.30449682558512586, 0.09878490735880202, -0.29391580322582245, -0.13543477896640763, 0.1822845758830444, -0.07270394176101455, 0.0651997333456181, 0.07852691931761482, 0.05845933805969066, -0.07858953502130671, -0.2752973714954833, 0.33835284056492215, 0.028380290795173336, 0.3206814942188943, 0.07713870590090757, 0.05745294598591888, -0.04324075496262019, 0.0014202343215409699, 0.08518930776124327, -0.08016521715358572, 0.11569223060614915, 0.2596794148254344, 0.21293692086210364, 0.28419281676029545, -0.4706764858152367, -0.20087938837738883, 0.10949891975595273, 0.05411489684787443, 0.1517237620298854, -0.022484291096752245, -0.31468020235466904, 0.06381168803120525, -0.14599698229044134, -0.07423591770134214, -0.13840378241207546, -0.0022766778293328406, -0.02890183751542981, -0.22785341674382362, 0.07905477893680063, 0.06824464405066946, 0.08800273566928685, -0.038916275458426304, -0.07598284623908022, 0.0068849488081904045, 0.11103787247422868, 0.02740742808056629, -0.018759618051604837, 0.09182432133497463, -0.145317241589292, -0.1760928986209015, 0.3885032845676964, 0.03461684285599388, -0.2708509548161274, 0.2762232158675344, -0.13314327678014326, -0.13025484468119267, 0.028795480576908995, 0.0873180444423969, 0.05957611256605412, -0.11917551487754398, 0.04371937119718402, -0.04325020647583864, 0.17103280156998074, 0.05690388122979456, 0.1362424006160253, 0.1879580096166549, 0.09097902947622868, 0.029657028744327556, 0.09483136407808106, -0.01421842028776932, -0.15478845961137205, -0.34269298738043785, -0.16590129308010507, -0.18285547917844075, 0.05523559861840346, -0.04133359862540741, -0.11549610396897873, 0.3413072901371962, 0.180333163183278, 0.1628224772409114, 0.05918628675564646, 0.27917467809131, 0.06986664392105821, 0.03532963851068774, 0.03981049010593794, 0.252271051498719, 0.1108062641308832, 0.07173122250888911, -0.16670293383783877, 0.10024199217287266, 0.011285551232643999] |
711.1405 | RNA-LEGO: Combinatorial Design of Pseudoknot RNA | In this paper we enumerate $k$-noncrossing RNA pseudoknot structures with
given minimum stack-length. We show that the numbers of $k$-noncrossing
structures without isolated base pairs are significantly smaller than the
number of all $k$-noncrossing structures. In particular we prove that the
number of 3- and 4-noncrossing RNA structures with stack-length $\ge 2$ is for
large $n$ given by $311.2470 \frac{4!}{n(n-1)...(n-4)}2.5881^n$ and $1.217\cdot
10^{7} n^{-{21/2}} 3.0382^n$, respectively. We furthermore show that for
$k$-noncrossing RNA structures the drop in exponential growth rates between the
number of all structures and the number of all structures with stack-size $\ge
2$ increases significantly. Our results are of importance for prediction
algorithms for pseudoknot-RNA and provide evidence that there exist neutral
networks of RNA pseudoknot structures.
| q-bio.BM | in this paper we enumerate knoncrossing rna pseudoknot structures with given minimum stacklength we show that the numbers of knoncrossing structures without isolated base pairs are significantly smaller than the number of all knoncrossing structures in particular we prove that the number of 3 and 4noncrossing rna structures with stacklength ge 2 is for large n given by 3112470 frac4nn1n425881n and 1217cdot 107 n212 30382n respectively we furthermore show that for knoncrossing rna structures the drop in exponential growth rates between the number of all structures and the number of all structures with stacksize ge 2 increases significantly our results are of importance for prediction algorithms for pseudoknotrna and provide evidence that there exist neutral networks of rna pseudoknot structures | [['in', 'this', 'paper', 'we', 'enumerate', 'knoncrossing', 'rna', 'pseudoknot', 'structures', 'with', 'given', 'minimum', 'stacklength', 'we', 'show', 'that', 'the', 'numbers', 'of', 'knoncrossing', 'structures', 'without', 'isolated', 'base', 'pairs', 'are', 'significantly', 'smaller', 'than', 'the', 'number', 'of', 'all', 'knoncrossing', 'structures', 'in', 'particular', 'we', 'prove', 'that', 'the', 'number', 'of', '3', 'and', '4noncrossing', 'rna', 'structures', 'with', 'stacklength', 'ge', '2', 'is', 'for', 'large', 'n', 'given', 'by', '3112470', 'frac4nn1n425881n', 'and', '1217cdot', '107', 'n212', '30382n', 'respectively', 'we', 'furthermore', 'show', 'that', 'for', 'knoncrossing', 'rna', 'structures', 'the', 'drop', 'in', 'exponential', 'growth', 'rates', 'between', 'the', 'number', 'of', 'all', 'structures', 'and', 'the', 'number', 'of', 'all', 'structures', 'with', 'stacksize', 'ge', '2', 'increases', 'significantly', 'our', 'results', 'are', 'of', 'importance', 'for', 'prediction', 'algorithms', 'for', 'pseudoknotrna', 'and', 'provide', 'evidence', 'that', 'there', 'exist', 'neutral', 'networks', 'of', 'rna', 'pseudoknot', 'structures']] | [-0.20061743335666515, 0.17689183527867483, 0.03222381381886657, 0.08995553505796511, 0.02407416067522975, -0.08866038638274226, 0.02417948780750312, 0.38645305675948943, -0.23913966228905242, -0.36109753513494425, 0.007565504798162893, -0.26531742025265653, -0.23629444910304012, 0.19743552388400828, 0.0028614469070350175, -0.018872921297376135, 0.09318851536362374, 0.036285483787522395, 0.012374707749031023, -0.2649045203095384, 0.3257050537463047, -0.0003425609485237999, 0.23709971937392138, 0.03125318907926568, 0.018135658403512386, -0.018360544181535994, 0.02383822527409127, 0.06597132810218408, -0.20336435294418545, 0.16950623344102528, 0.23558769803659052, 0.189160862465727, 0.20065085774501867, -0.4427295182295869, -0.16314394875384242, 0.1721011970554833, 0.1617242066453384, 0.10798104853674242, -0.07676577924305689, -0.15897735723178932, 0.25588775428209815, -0.11962746171923601, -0.05731070250585939, -0.05884239425371706, 0.08292377494539308, 0.09947091511057163, -0.2403640808554086, 0.05790060355154946, 0.07770327172464633, 0.08026853647078923, -0.050534515967180504, -0.18846888574812792, -0.05820960191127935, 0.12479384546168149, 0.0008629147577371481, -0.005172847963836605, 0.08005969540372623, -0.13646611276461817, -0.1517744990214046, 0.33075821871943445, -0.006464439517003484, -0.17918593933923269, 0.1667492154004893, -0.17635735820162943, -0.19351866671664072, 0.18740272835984959, 0.11071194199828711, 0.12012760789520972, -0.006246456690956797, 0.07150245287900675, -0.058311268209224255, 0.19036465237098457, 0.16351092165022824, 0.021309058322051985, 0.1203876605537613, 0.16139148079287424, 0.08286337109397998, 0.15400221846808176, -0.09278831968858706, -0.037159308259564955, -0.24789914108021596, -0.1922373088422866, -0.12724457816241425, 0.045941595649511544, -0.13645254494158748, -0.19266650318044476, 0.35051768073663775, 0.08034273131082939, 0.2622213353262802, 0.17959905457806535, 0.20154891947729398, -0.03321947078570822, 0.07917593404716622, 0.10597989073895542, 0.09644821918553022, 0.11161544135425537, -0.02048423376544255, -0.1623997040648236, 0.06662723410099877, 0.029397276394992275] |
711.1406 | Quantum Stochastic Heating of a Trapped Ion | The resonant heating of a harmonically trapped ion by a standing-wave light
field is described as a quantum stochastic process combining a coherent
Schroedinger evolution with Bohr-Einstein quantum jumps. Quantum and
semi-quantum treatments are compared.
| quant-ph | the resonant heating of a harmonically trapped ion by a standingwave light field is described as a quantum stochastic process combining a coherent schroedinger evolution with bohreinstein quantum jumps quantum and semiquantum treatments are compared | [['the', 'resonant', 'heating', 'of', 'a', 'harmonically', 'trapped', 'ion', 'by', 'a', 'standingwave', 'light', 'field', 'is', 'described', 'as', 'a', 'quantum', 'stochastic', 'process', 'combining', 'a', 'coherent', 'schroedinger', 'evolution', 'with', 'bohreinstein', 'quantum', 'jumps', 'quantum', 'and', 'semiquantum', 'treatments', 'are', 'compared']] | [-0.1308695997909776, 0.29943495831851447, -0.07362371150936399, 0.06476701602997699, 0.024174668107713973, -0.2616329487413168, 0.01648955593617367, 0.34138340801000594, -0.2323105534804719, -0.21775967893855913, 6.22145299400602e-05, -0.30314514051590646, -0.05478050473279187, 0.24602096314941133, -0.006488701930668737, 0.12068779968124416, 0.0708842320018448, -0.03142884975033147, 0.004042702327881541, -0.17623356001983795, 0.2879450812935829, 0.04990691143819796, 0.22697044706770353, -0.03353921002043145, 0.1261658452185137, 0.019643467558281762, 0.04061342610844544, 0.01700485497713089, -0.08279236600335155, 0.07415198242025715, 0.2207948550581932, -0.018131766255412782, 0.31012111072029386, -0.4752594460866281, -0.3231224052341921, 0.011084026470780373, 0.15963445216683406, 0.23780727961233683, -0.11420685654239995, -0.34808627239295414, -0.1071118412805455, -0.140159488682236, -0.16144959736349326, -0.04981843965194587, -0.04557662931869605, 0.07366608482386384, -0.26496713973049607, 0.10091390207942043, 0.054806530794927054, 0.07643120057348694, -0.019029043468513657, 0.04084758646786213, 0.04178592701708632, -0.015977845128093447, -0.10399990483004201, 0.021350862977227995, 0.24582787464771952, -0.0989155687391758, -0.24440084823540278, 0.3632744501245075, -0.14495608833219323, -0.1529440208205155, 0.136090060350086, -0.09289587503964347, 0.004354752520365375, 0.13365373728530747, 0.11202410366386176, 0.1068927503856165, -0.17882207006748232, 0.08034101841559667, -0.003470375415469919, 0.13081903795464314, 0.13086651288239018, 0.08696057208414588, 0.24184598358614104, 0.1650004303615008, -0.0073347548288958415, 0.15212163265137602, -0.05724061139460121, -0.23939389724816595, -0.305785675120673, -0.15722350462206772, -0.20667225840900624, 0.12367933439756078, -0.00032960340072999577, -0.17834269532135555, 0.39473409615457056, 0.040970202083034174, 0.16677947411579744, -0.06326415863420282, 0.2951159516349435, 0.22511972835220928, -0.03346660305479807, 0.06148386521797095, 0.19141676968761853, 0.2631320051383227, 0.11252090731369598, -0.35111775495378034, -0.010752568061330488, 0.012826245091855527] |
711.1407 | HI Mapping of Galaxies in Six GEMS Groups | Here we present Australia Telescope Compact Array HI maps of 16 HI sources in
six Group Evolution Multiwavelength Study (GEMS) groups that were previously
observed with the Parkes telescope. The higher spatial resolution of the ATCA
allows us to clearly identify the optical counterparts for the first time --
most being associated with low surface brightness late-type galaxies. New
integrated HI maps and velocity fields for each source are presented. We find
several interacting systems; one of which contains three galaxies within a
common HI envelope. Extended HI structures in the sample are more consistent
with tidal effects than ram pressure stripping. We identify two HI detections
with previously uncatalogued optical galaxies, and add a total of six newly
identified group members to the NGC 3923, 5044 and 7144 groups.
| astro-ph | here we present australia telescope compact array hi maps of 16 hi sources in six group evolution multiwavelength study gems groups that were previously observed with the parkes telescope the higher spatial resolution of the atca allows us to clearly identify the optical counterparts for the first time most being associated with low surface brightness latetype galaxies new integrated hi maps and velocity fields for each source are presented we find several interacting systems one of which contains three galaxies within a common hi envelope extended hi structures in the sample are more consistent with tidal effects than ram pressure stripping we identify two hi detections with previously uncatalogued optical galaxies and add a total of six newly identified group members to the ngc 3923 5044 and 7144 groups | [['here', 'we', 'present', 'australia', 'telescope', 'compact', 'array', 'hi', 'maps', 'of', '16', 'hi', 'sources', 'in', 'six', 'group', 'evolution', 'multiwavelength', 'study', 'gems', 'groups', 'that', 'were', 'previously', 'observed', 'with', 'the', 'parkes', 'telescope', 'the', 'higher', 'spatial', 'resolution', 'of', 'the', 'atca', 'allows', 'us', 'to', 'clearly', 'identify', 'the', 'optical', 'counterparts', 'for', 'the', 'first', 'time', 'most', 'being', 'associated', 'with', 'low', 'surface', 'brightness', 'latetype', 'galaxies', 'new', 'integrated', 'hi', 'maps', 'and', 'velocity', 'fields', 'for', 'each', 'source', 'are', 'presented', 'we', 'find', 'several', 'interacting', 'systems', 'one', 'of', 'which', 'contains', 'three', 'galaxies', 'within', 'a', 'common', 'hi', 'envelope', 'extended', 'hi', 'structures', 'in', 'the', 'sample', 'are', 'more', 'consistent', 'with', 'tidal', 'effects', 'than', 'ram', 'pressure', 'stripping', 'we', 'identify', 'two', 'hi', 'detections', 'with', 'previously', 'uncatalogued', 'optical', 'galaxies', 'and', 'add', 'a', 'total', 'of', 'six', 'newly', 'identified', 'group', 'members', 'to', 'the', 'ngc', '3923', '5044', 'and', '7144', 'groups']] | [-0.09683867286639725, 0.05320348044506318, -0.05749725957866758, 0.07041149812721414, -0.1293736704337789, -0.05935342371958541, 0.0006996510037424741, 0.49842524048290215, -0.09651464830767509, -0.32383206544909626, 0.08972737384283391, -0.32164549037599954, -0.07423463878512848, 0.21295083848235663, 0.024912872146160225, -0.04231565307463825, 0.02508198021860153, -0.12567115000274498, -0.05555012029617501, -0.31570925116284343, 0.3092442054330604, 0.06130578345619142, 0.1514288706057414, -0.1216956774078426, 0.11441112613829318, -0.1475192846810387, -0.16350822354115735, -0.01987252746039303, -0.1039486283573865, 0.07702187759423396, 0.2743131616516621, 0.08871926628398796, 0.20306519781297538, -0.3513144627719953, -0.2147014733272954, 0.05527709780653822, 0.1681648753601621, 0.048754594869024004, -0.07207146339953852, -0.34096704992407467, 0.05627386618289165, -0.22420865978347138, -0.2008850975034875, 0.06168881648045499, 0.040818776444211835, 0.054519604998858995, -0.1374308809718059, 0.12180697784788208, -0.06486102473991195, 0.12873922077415045, -0.15270274489239455, -0.11671996304721688, -0.04742809445633611, 0.10662361653157859, -0.06796608874719823, 0.06197847335533879, 0.18705966104607796, -0.11916876587179104, -0.011043925074773142, 0.39425586083962116, -0.07005193446514113, 0.010158850862353574, 0.28375452202453744, -0.2593635457160417, -0.2553251597673807, 0.1638178162756958, 0.16221190089709125, 0.04522002863814123, -0.1949171309279336, -0.009484489935175588, -0.0770588760933606, 0.24944593215059285, 0.07230575188623334, 0.09538820998568553, 0.2586021110728325, 0.04815843029427924, 0.09849584139010403, 0.15204387304765987, -0.2765036298155792, 0.01927435973630054, -0.22435071192739997, -0.1221272312968722, -0.07278819222847233, 0.04756825905133155, -0.10763947543421182, -0.08217420646133178, 0.35494196202580497, 0.09742253920558142, 0.1872203183484089, 0.06948374236890231, 0.30592446824812214, 0.027243940747212037, 0.1826253891822489, 0.13288078418918303, 0.24837729567661881, 0.19693295499382657, 0.029624021637573605, -0.19764971300173784, -0.008306089487632562, -0.00486869178712368] |
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