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709.1635 | Gaudin functions, and Euler-Poincar\'e characteristics | Given two positive integers n,r, we define the Gaudin function of level r to
be quotient of the numerator of the determinant det(1/ ((x_i-y_j)(x_i-ty_j) ...
(x_i-t^r y_j)), i,j=1..n, by the two Vandermonde in x and y. We show that it
can be characterized by specializing the x-variables into the y-variables,
multiplied by powers of t. This allows us to obtain the Gaudin function of
level 1 (due to Korepin and Izergin) as the image of a resultant under the the
Euler-Poincar\'e characteristics of the flag manifold. As a corollary, we
recover a result of Warnaar about the generating function of Macdonald
polynomials.
| math.CO | given two positive integers nr we define the gaudin function of level r to be quotient of the numerator of the determinant det1 x_iy_jx_ity_j x_itr y_j ij1n by the two vandermonde in x and y we show that it can be characterized by specializing the xvariables into the yvariables multiplied by powers of t this allows us to obtain the gaudin function of level 1 due to korepin and izergin as the image of a resultant under the the eulerpoincare characteristics of the flag manifold as a corollary we recover a result of warnaar about the generating function of macdonald polynomials | [['given', 'two', 'positive', 'integers', 'nr', 'we', 'define', 'the', 'gaudin', 'function', 'of', 'level', 'r', 'to', 'be', 'quotient', 'of', 'the', 'numerator', 'of', 'the', 'determinant', 'det1', 'x_iy_jx_ity_j', 'x_itr', 'y_j', 'ij1n', 'by', 'the', 'two', 'vandermonde', 'in', 'x', 'and', 'y', 'we', 'show', 'that', 'it', 'can', 'be', 'characterized', 'by', 'specializing', 'the', 'xvariables', 'into', 'the', 'yvariables', 'multiplied', 'by', 'powers', 'of', 't', 'this', 'allows', 'us', 'to', 'obtain', 'the', 'gaudin', 'function', 'of', 'level', '1', 'due', 'to', 'korepin', 'and', 'izergin', 'as', 'the', 'image', 'of', 'a', 'resultant', 'under', 'the', 'the', 'eulerpoincare', 'characteristics', 'of', 'the', 'flag', 'manifold', 'as', 'a', 'corollary', 'we', 'recover', 'a', 'result', 'of', 'warnaar', 'about', 'the', 'generating', 'function', 'of', 'macdonald', 'polynomials']] | [-0.14555816867887372, 0.05647111404687166, -0.06940518158741972, 0.045876667339759265, -0.04385930843500778, -0.12563203311421806, 0.013994853113392236, 0.2704853927716613, -0.3297383678757181, -0.24910085239080768, 0.07053796022147354, -0.24457838702632345, -0.17525012009410243, 0.17747526015216752, -0.0735807695115606, -0.0023800443594503883, -0.005564334680034657, 0.06951765905162602, -0.1275525034177164, -0.27725770124563515, 0.37813155375176455, 0.00566748002040755, 0.15780883341806592, 0.03875101369163586, 0.14851262093041884, 0.022013902005673658, 0.007436379780898793, -0.026050393225335883, -0.12877573085411728, 0.101657164951015, 0.27195594331832845, 0.13104376829031741, 0.2160403483189793, -0.3492650706979512, -0.0934469251554798, 0.1453131321168533, 0.13898262051357466, -0.004703971717243243, 0.0440294330262325, -0.25703761811753867, 0.10831519429844738, -0.19286542692494513, -0.15735143529853285, -0.07173882576759265, 0.025396684739701074, 0.06264089104352576, -0.3215231801656009, 0.03673351842514945, 0.09824811335126257, 0.03342906375312143, -0.022915095825223348, -0.1817681705249906, -0.04991222048328832, 0.10989858339907545, 0.04205626000960668, 0.07847985914100497, 0.0739696272178506, -0.10124895434045807, -0.0819732248683159, 0.35661702051834027, -0.08454376991574812, -0.2535124656114012, 0.06463605542890634, -0.1957494125917855, -0.10836688434761582, 0.11367229248086612, 0.08122674322150873, 0.11733909096625267, -0.06945726462649275, 0.1338840880457105, -0.08673659861652237, 0.08960475718997644, 0.13071188360753686, -0.008647143116427792, 0.1476170299386587, 0.03796415197935821, 0.03376230289406999, 0.1893097875766795, -0.03002146305869136, -0.011865537745332477, -0.31271905523508486, -0.20534363155243823, -0.21558733608554861, 0.1567616994972482, -0.12824080767776733, -0.14213120531892837, 0.42429206095109084, 0.09509496814147993, 0.24770146595182443, 0.10469260539934792, 0.2008657316710198, 0.17042808647436852, 0.0691838673400608, 0.017765973450032748, 0.09218869096307893, 0.20945495023213404, 0.015441627803757185, -0.18294697416701702, 0.017841391331243395, 0.17126569032405664] |
709.1636 | Dark-Matter Content of Early-Type Galaxies with Planetary Nebulae | We examine the dark matter properties of nearby early-type galaxies using
planetary nebulae (PNe) as mass probes. We have designed a specialised
instrument, the Planetary Nebula Spectrograph (PN.S) operating at the William
Herschel telescope, with the purpose of measuring PN velocities with best
efficiency. The primary scientific objective of this custom-built instrument is
the study of the PN kinematics in 12 ordinary round galaxies. Preliminary
results showing a dearth of dark matter in ordinary galaxies (Romanowsky et al.
2003) are now confirmed by the first complete PN.S datasets. On the other hand
early-type galaxies with a "regular" dark matter content are starting to be
observed among the brighter PN.S target sample, thus confirming a correlation
between the global dark-to-luminous mass virial ratio (f_DM=M_DM/M_star) and
the galaxy luminosity and mass.
| astro-ph | we examine the dark matter properties of nearby earlytype galaxies using planetary nebulae pne as mass probes we have designed a specialised instrument the planetary nebula spectrograph pns operating at the william herschel telescope with the purpose of measuring pn velocities with best efficiency the primary scientific objective of this custombuilt instrument is the study of the pn kinematics in 12 ordinary round galaxies preliminary results showing a dearth of dark matter in ordinary galaxies romanowsky et al 2003 are now confirmed by the first complete pns datasets on the other hand earlytype galaxies with a regular dark matter content are starting to be observed among the brighter pns target sample thus confirming a correlation between the global darktoluminous mass virial ratio f_dmm_dmm_star and the galaxy luminosity and mass | [['we', 'examine', 'the', 'dark', 'matter', 'properties', 'of', 'nearby', 'earlytype', 'galaxies', 'using', 'planetary', 'nebulae', 'pne', 'as', 'mass', 'probes', 'we', 'have', 'designed', 'a', 'specialised', 'instrument', 'the', 'planetary', 'nebula', 'spectrograph', 'pns', 'operating', 'at', 'the', 'william', 'herschel', 'telescope', 'with', 'the', 'purpose', 'of', 'measuring', 'pn', 'velocities', 'with', 'best', 'efficiency', 'the', 'primary', 'scientific', 'objective', 'of', 'this', 'custombuilt', 'instrument', 'is', 'the', 'study', 'of', 'the', 'pn', 'kinematics', 'in', '12', 'ordinary', 'round', 'galaxies', 'preliminary', 'results', 'showing', 'a', 'dearth', 'of', 'dark', 'matter', 'in', 'ordinary', 'galaxies', 'romanowsky', 'et', 'al', '2003', 'are', 'now', 'confirmed', 'by', 'the', 'first', 'complete', 'pns', 'datasets', 'on', 'the', 'other', 'hand', 'earlytype', 'galaxies', 'with', 'a', 'regular', 'dark', 'matter', 'content', 'are', 'starting', 'to', 'be', 'observed', 'among', 'the', 'brighter', 'pns', 'target', 'sample', 'thus', 'confirming', 'a', 'correlation', 'between', 'the', 'global', 'darktoluminous', 'mass', 'virial', 'ratio', 'f_dmm_dmm_star', 'and', 'the', 'galaxy', 'luminosity', 'and', 'mass']] | [-0.07382402039002045, 0.05472855627522222, -0.10790753420587862, 0.0915311618555279, -0.1411450579216762, -0.041019073491042946, -0.011391728316084482, 0.3825539832978393, -0.07668241691862931, -0.42042582150315866, 0.009982799623685423, -0.3051051446964266, -0.02100976710607938, 0.218375969081535, -0.012589757185196504, 0.008561693568481132, 0.0815239588773693, -0.09038508095181896, -0.026007378997746855, -0.33858919908379903, 0.32750542557369045, 0.10374301929550711, 0.1490972626634175, -0.08663157111004693, 0.07518846537550417, -0.10479638345714193, -0.11713196374148538, -0.049518134803975045, -0.18398170303771622, 0.007550790578534361, 0.26407574592849414, 0.1465260657168983, 0.20319369461140013, -0.3264912316441837, -0.14354566602560226, 0.09618947972921887, 0.16046350028409506, -0.011167784889835275, -0.09216536881740467, -0.3323948392790044, 0.054249892006737355, -0.17638808800074912, -0.20257081686577294, 0.09807601941429311, 0.02088102450579754, 0.07267657396005234, -0.19101369412237545, 0.11726940355583793, -0.000996076276351232, 0.09305230644531548, -0.11502468317121384, -0.14040997416668688, -0.07804839289110532, 0.06873677118710475, -0.026164742341279634, 0.03396273574435327, 0.2149977955923532, -0.1744436039316497, 0.0038494211371471465, 0.4040581491717603, -0.05684945576649625, 0.016634530869851005, 0.2290741182223428, -0.2291867905169056, -0.17878978215776442, 0.09499623020747094, 0.15414882403763386, 0.12287193160591414, -0.19449412501899133, 0.0494920148548772, -0.05828423472121358, 0.2166332689630508, 0.06722076897904117, 0.06023899580225134, 0.33657865022541955, 0.14333140018425183, 0.019924708066810126, 0.07278860165797596, -0.21916820269734671, -0.01620277032679951, -0.22034985264690476, -0.1637507005052612, -0.16008806886293314, 0.056451196056514164, -0.10613864606398238, -0.04878143479800201, 0.33119403578166384, 0.07862163283789414, 0.19137686156318523, 0.04584873440944648, 0.35217921278672293, 0.03755824050949741, 0.10751066397278919, 0.09879529588579317, 0.35545026426552795, 0.1837877071211551, 0.10963658589389524, -0.24284219171386212, 0.04211149899128941, 0.011335713970765937] |
709.1637 | Photon propagator for axion electrodynamics | The axion modified electrodynamics is usually used as a model for description
of possible violation of Lorentz invariance in field theory. The low-energy
manifestation of Lorentz violation can hopefully be observed in experiments
with the electromagnetic waves. It justifies the importance of study how a
small axion addition can modify the wave propagation. Although a constant axion
does not contribute to the dispersion relation at all, even a slowly varying
axion field destroys the light cone structure. In this paper, we study the wave
propagation in the axion modified electrodynamics in the framework of premetric
approach. In an addition to the modified dispersion relation, we derive the
axion generalization of the photon propagator in Feynman and Landau gauge. Our
consideration is free from the usual restriction of a usual restriction to the
constant gradient axion field. It is remarkable that the axion modified
propagator is hermitian. Consequently the dissipation effects absent even in
the phenomenological model considered here.
| hep-th | the axion modified electrodynamics is usually used as a model for description of possible violation of lorentz invariance in field theory the lowenergy manifestation of lorentz violation can hopefully be observed in experiments with the electromagnetic waves it justifies the importance of study how a small axion addition can modify the wave propagation although a constant axion does not contribute to the dispersion relation at all even a slowly varying axion field destroys the light cone structure in this paper we study the wave propagation in the axion modified electrodynamics in the framework of premetric approach in an addition to the modified dispersion relation we derive the axion generalization of the photon propagator in feynman and landau gauge our consideration is free from the usual restriction of a usual restriction to the constant gradient axion field it is remarkable that the axion modified propagator is hermitian consequently the dissipation effects absent even in the phenomenological model considered here | [['the', 'axion', 'modified', 'electrodynamics', 'is', 'usually', 'used', 'as', 'a', 'model', 'for', 'description', 'of', 'possible', 'violation', 'of', 'lorentz', 'invariance', 'in', 'field', 'theory', 'the', 'lowenergy', 'manifestation', 'of', 'lorentz', 'violation', 'can', 'hopefully', 'be', 'observed', 'in', 'experiments', 'with', 'the', 'electromagnetic', 'waves', 'it', 'justifies', 'the', 'importance', 'of', 'study', 'how', 'a', 'small', 'axion', 'addition', 'can', 'modify', 'the', 'wave', 'propagation', 'although', 'a', 'constant', 'axion', 'does', 'not', 'contribute', 'to', 'the', 'dispersion', 'relation', 'at', 'all', 'even', 'a', 'slowly', 'varying', 'axion', 'field', 'destroys', 'the', 'light', 'cone', 'structure', 'in', 'this', 'paper', 'we', 'study', 'the', 'wave', 'propagation', 'in', 'the', 'axion', 'modified', 'electrodynamics', 'in', 'the', 'framework', 'of', 'premetric', 'approach', 'in', 'an', 'addition', 'to', 'the', 'modified', 'dispersion', 'relation', 'we', 'derive', 'the', 'axion', 'generalization', 'of', 'the', 'photon', 'propagator', 'in', 'feynman', 'and', 'landau', 'gauge', 'our', 'consideration', 'is', 'free', 'from', 'the', 'usual', 'restriction', 'of', 'a', 'usual', 'restriction', 'to', 'the', 'constant', 'gradient', 'axion', 'field', 'it', 'is', 'remarkable', 'that', 'the', 'axion', 'modified', 'propagator', 'is', 'hermitian', 'consequently', 'the', 'dissipation', 'effects', 'absent', 'even', 'in', 'the', 'phenomenological', 'model', 'considered', 'here']] | [-0.1575109608105938, 0.21385733869092177, -0.109451405645077, 0.13905999423933063, -0.154625675755942, -0.09541051291058995, 0.020142735875081978, 0.3100025534299733, -0.2495721331281776, -0.2992287720140966, 0.010622576400755515, -0.20932972654711332, -0.1748465424598065, 0.1602466427205319, -0.01391427513931088, 0.038686179426274725, -0.011885510805457878, 0.05442712544109908, -0.07820185537551695, -0.18173572439788782, 0.3115761046138698, 0.07130540383956101, 0.2809850734340239, 0.06326340668822956, 0.06843173615492606, 0.0048728668237034275, 0.003967619173912497, 0.021298864602901136, -0.09686868189403211, 0.04692809542499577, 0.14417031257047871, 0.06292902780962, 0.20765658412747603, -0.42321301661903343, -0.2439108680273536, 0.09921389513448635, 0.1350561569494938, 0.15164797883068176, -0.0454109958608788, -0.2792298186546828, 0.011933313832246946, -0.16210080929545545, -0.17685348163078882, -0.05114943272422386, -0.019896248326772423, -0.057158581641373, -0.24392203658213543, 0.08151681216645844, 0.044317426637428096, -0.03881505019680959, -0.05286410887640182, -0.053379978474724706, 0.036975655162447614, 0.01978692012438197, 0.12661618962618698, 0.07300971544943043, 0.13697379299329338, -0.18969376353824016, -0.06960115808097622, 0.47544469595356265, -0.17044184712657728, -0.21426187750376477, 0.09964739933574596, -0.16692943211985292, -0.11652607999630037, 0.12399437800315032, 0.13746161234293935, 0.08757187719928407, -0.14148155942042004, 0.16722297936617514, -0.05383164464194722, 0.15816632096502412, 0.09428351818542645, 0.06431876557316966, 0.2346423486029564, 0.1230597241584188, 0.010544582252402472, 0.10429078439483419, -0.029604190117620593, -0.0989452977462147, -0.4053073194544008, -0.15523790990745154, -0.151866779498361, 0.07371519150606967, -0.08999059515282412, -0.1565197858240314, 0.3730787506007996, 0.1783236380065261, 0.12146322356678452, 0.009329541207621275, 0.2795049976321715, 0.1686938035484592, 0.10334153581982408, 0.04032018207768096, 0.3488211260542651, 0.1634345591500036, 0.11346539220981937, -0.27767043730282354, -0.04132958901515584, 0.061172942754730016] |
709.1638 | Cosmological implications of a supersymmetric extension of the
Brans-Dicke theory | In the Brans-Dicke theory the Planck mass is replaced by a dynamical scalar
field. We consider here the supersymmetric analogous of this mechanism
replacing in the supergravity Lagrangian the Planck mass with a chiral
superfield. This analysis is motivated by the research of possible connections
between supersymmetric Dark Matter scenarios and Dark Energy models based on
Brans-Dicke-like theories. We find that, contrary to the original Brans-Dicke
theory, in its supersymmetric analogous the gravitational sector does not
couple to the matter sector in a universal metric way. As a result, violations
of the weak equivalence principle could be present in such a scenario.
| hep-ph | in the bransdicke theory the planck mass is replaced by a dynamical scalar field we consider here the supersymmetric analogous of this mechanism replacing in the supergravity lagrangian the planck mass with a chiral superfield this analysis is motivated by the research of possible connections between supersymmetric dark matter scenarios and dark energy models based on bransdickelike theories we find that contrary to the original bransdicke theory in its supersymmetric analogous the gravitational sector does not couple to the matter sector in a universal metric way as a result violations of the weak equivalence principle could be present in such a scenario | [['in', 'the', 'bransdicke', 'theory', 'the', 'planck', 'mass', 'is', 'replaced', 'by', 'a', 'dynamical', 'scalar', 'field', 'we', 'consider', 'here', 'the', 'supersymmetric', 'analogous', 'of', 'this', 'mechanism', 'replacing', 'in', 'the', 'supergravity', 'lagrangian', 'the', 'planck', 'mass', 'with', 'a', 'chiral', 'superfield', 'this', 'analysis', 'is', 'motivated', 'by', 'the', 'research', 'of', 'possible', 'connections', 'between', 'supersymmetric', 'dark', 'matter', 'scenarios', 'and', 'dark', 'energy', 'models', 'based', 'on', 'bransdickelike', 'theories', 'we', 'find', 'that', 'contrary', 'to', 'the', 'original', 'bransdicke', 'theory', 'in', 'its', 'supersymmetric', 'analogous', 'the', 'gravitational', 'sector', 'does', 'not', 'couple', 'to', 'the', 'matter', 'sector', 'in', 'a', 'universal', 'metric', 'way', 'as', 'a', 'result', 'violations', 'of', 'the', 'weak', 'equivalence', 'principle', 'could', 'be', 'present', 'in', 'such', 'a', 'scenario']] | [-0.14708072188145974, 0.17847205624303908, -0.11055963887723491, 0.14598542707515696, -0.11449355073273182, -0.13383609778361907, -0.011732282292773472, 0.26289115882222996, -0.1885717184666325, -0.3128413736121729, 0.03339802328264341, -0.23914514777853207, -0.16897110924051673, 0.1226159740495039, -0.058399188496610695, 0.026552944539420708, -0.04230409103797237, 0.07283745366422568, -0.07635917941247587, -0.21985866402175425, 0.35784757375607595, 0.04342625190403458, 0.20697585049350106, 0.05518559161475209, 0.0650332282279052, -0.025668316340420907, -0.004480987052232319, 0.013230394307231786, -0.14165044704022162, 0.10728931568526462, 0.17241135593572907, 0.12695296717278076, 0.18499551935340552, -0.41318925859534417, -0.27092566190506606, 0.18051742613498195, 0.12598341569194899, 0.14765349987839513, -0.07292482323200423, -0.3083016897515193, 0.043886569002186696, -0.22634759119839645, -0.1451316008740333, -0.03735475521078151, -0.04304966573288445, -0.11437636525735405, -0.24876687300902808, 0.12486009227851515, -0.013230001477709533, -0.03662098568005889, -0.0766929569026437, -0.028511722115617172, -0.03424566507558612, -0.03628121500871345, 0.15489095953343363, 0.058010173249332345, 0.16981318319106803, -0.19426885050237544, -0.1418924184787708, 0.4317763861560938, -0.1352425952129267, -0.20544190292575343, 0.13919429095945887, -0.1013797511730124, -0.1940602853656838, 0.021451249332326994, 0.0954446254877885, 0.11929901786075503, -0.17003145338236994, 0.23990314022589967, -0.07294703205572624, 0.17655766466244435, 0.06238625152949609, 0.037992217920391876, 0.33247953987972556, 0.15640269902559892, 0.053476536650479974, 0.09102977073737695, 0.007524411963280656, -0.12883673106632926, -0.4218972151843356, -0.1404515806518212, -0.1351763152553901, 0.06378103108456308, -0.10350852582461598, -0.12348509241607697, 0.36705629391522676, 0.15295889736244492, 0.1610131855122745, 0.06672850333373337, 0.2711916816256502, 0.07469607381761878, 0.08609745331170202, 0.007929336535287839, 0.3565384856443487, 0.1758672394013653, 0.11005115814452224, -0.21060051101912727, -0.10802939019677248, 0.09740786428800692] |
709.1639 | Lefschetz fibrations and symplectic homology | We show that for each k > 3 there are infinitely many finite type Stein
manifolds diffeomorphic to Euclidean space R^{2k} which are pairwise distinct
as symplectic manifolds.
| math.SG | we show that for each k 3 there are infinitely many finite type stein manifolds diffeomorphic to euclidean space r2k which are pairwise distinct as symplectic manifolds | [['we', 'show', 'that', 'for', 'each', 'k', '3', 'there', 'are', 'infinitely', 'many', 'finite', 'type', 'stein', 'manifolds', 'diffeomorphic', 'to', 'euclidean', 'space', 'r2k', 'which', 'are', 'pairwise', 'distinct', 'as', 'symplectic', 'manifolds']] | [-0.18317311084656804, 0.1293803213716105, -0.032048561644774896, 0.14312481383482614, -0.09241051999507127, -0.23822584582699668, -0.10713237855169508, 0.4526409397798556, -0.27308237745806024, -0.19820625817886106, 0.093769039803495, -0.3372820705106413, -0.18151802310927045, 0.19515836687275656, -0.15838939255034482, -0.005014483644454567, 0.08255823166971957, 0.08225797282324897, -0.11687468488148793, -0.3436655314570224, 0.45528447310681697, -0.24350640127711273, 0.15059192770126242, 0.029765852606268944, 0.17484347135932357, -0.06091205527385076, 0.04456865904352593, 0.06950775467406924, -0.1599911009923542, 0.07985176957488337, 0.39769320217547593, 0.05796045451252549, 0.20371482203956004, -0.3777518636650509, -0.23760360748403603, 0.3026542939866583, 0.220835092684461, -0.03483782697003335, 0.006349908774373708, -0.28171569643611155, 0.12157997268217581, -0.0527660243075203, -0.11836484540253878, -0.17958461838187995, 0.09774046115301273, 0.018335500490610248, -0.17394730038251038, -0.0254547997308826, 0.14444970622382783, 0.08268929265991405, -0.03596387037800418, -0.17755099685207285, -0.050388719610593935, 0.11986044677043403, 0.030284089898621594, 0.11450426791001249, 0.057920172051699075, 0.0689516667690542, -0.09625041160594534, 0.3048386437197526, -0.0317935650754306, -0.34103343739277786, 0.2301546550459332, -0.12484462650630761, -0.2168813192251104, 0.20621286781021841, 0.05972712652550803, 0.13218566309660673, -0.06987657253113058, 0.20034881874367041, -0.11712313691775005, 0.0013170606215242987, 0.12839359427905744, -0.00861609746115627, 0.06920452460784603, 0.034349626663175446, 0.21197050209458987, 0.00321608602448746, -0.020053801713166414, -0.11596730213474345, -0.3588946941826079, -0.18625905419941302, -0.16443374394266694, 0.17985685155899436, -0.20468682697456744, -0.222665018643494, 0.23661335100661274, -0.07313265153034418, 0.2479710821752195, 0.13003182822096818, 0.17692642748631812, -0.08216648242281129, 0.028003067847479274, 0.17320263416816792, 0.08951640156684099, 0.1299600818849824, -0.1059125572167061, -0.0488792902065648, -0.12325892792324777, 0.16946044481462902] |
709.164 | Estimation of Missing Data Using Computational Intelligence and Decision
Trees | This paper introduces a novel paradigm to impute missing data that combines a
decision tree with an auto-associative neural network (AANN) based model and a
principal component analysis-neural network (PCA-NN) based model. For each
model, the decision tree is used to predict search bounds for a genetic
algorithm that minimize an error function derived from the respective model.
The models' ability to impute missing data is tested and compared using HIV
sero-prevalance data. Results indicate an average increase in accuracy of 13%
with the AANN based model's average accuracy increasing from 75.8% to 86.3%
while that of the PCA-NN based model increasing from 66.1% to 81.6%.
| stat.AP | this paper introduces a novel paradigm to impute missing data that combines a decision tree with an autoassociative neural network aann based model and a principal component analysisneural network pcann based model for each model the decision tree is used to predict search bounds for a genetic algorithm that minimize an error function derived from the respective model the models ability to impute missing data is tested and compared using hiv seroprevalance data results indicate an average increase in accuracy of 13 with the aann based models average accuracy increasing from 758 to 863 while that of the pcann based model increasing from 661 to 816 | [['this', 'paper', 'introduces', 'a', 'novel', 'paradigm', 'to', 'impute', 'missing', 'data', 'that', 'combines', 'a', 'decision', 'tree', 'with', 'an', 'autoassociative', 'neural', 'network', 'aann', 'based', 'model', 'and', 'a', 'principal', 'component', 'analysisneural', 'network', 'pcann', 'based', 'model', 'for', 'each', 'model', 'the', 'decision', 'tree', 'is', 'used', 'to', 'predict', 'search', 'bounds', 'for', 'a', 'genetic', 'algorithm', 'that', 'minimize', 'an', 'error', 'function', 'derived', 'from', 'the', 'respective', 'model', 'the', 'models', 'ability', 'to', 'impute', 'missing', 'data', 'is', 'tested', 'and', 'compared', 'using', 'hiv', 'seroprevalance', 'data', 'results', 'indicate', 'an', 'average', 'increase', 'in', 'accuracy', 'of', '13', 'with', 'the', 'aann', 'based', 'models', 'average', 'accuracy', 'increasing', 'from', '758', 'to', '863', 'while', 'that', 'of', 'the', 'pcann', 'based', 'model', 'increasing', 'from', '661', 'to', '816']] | [-0.01718318225888937, 0.004341294004452899, -0.08546069126083132, 0.06997159887310665, -0.08543546521561403, -0.18287135661561407, 0.1054181356870971, 0.3705705386020389, -0.2440745558260995, -0.3726407839715773, 0.09506471500179603, -0.29685981367148606, -0.16071317635257454, 0.16621760661056376, -0.08045300888810672, 0.09329652315115228, 0.11159627404127855, 0.05335623904715712, -0.017487309715601012, -0.24474282865869065, 0.26607843688415256, 0.13703872447869941, 0.3323971695431015, -0.009475881124244016, 0.15890526095309349, 0.0032519035260466967, -0.06381856428240151, -0.008462331689182012, -0.06961639214861469, 0.165796565302812, 0.2261168590171734, 0.18618936525365593, 0.2864789349373941, -0.40128827444734233, -0.2062039382198789, 0.12852519821357347, 0.13015276194531836, 0.10523618363053995, -0.009874884674882553, -0.270204990572643, 0.130206666567235, -0.20730335514663772, -0.03561837708248811, -0.03203840084446996, -0.025640203188374348, 0.004531744819056864, -0.3397600318615635, 0.07554858912686434, -0.00864549812075554, 0.07145307266025566, -0.10566507326439023, -0.19387273435759375, -0.037728561234532616, 0.11286179750573401, 0.040993713306984404, 0.13065722232282745, 0.09455161853967343, -0.11314824739169768, -0.19617243983107163, 0.3390429180261551, -0.11645600562184757, -0.19348256190891797, 0.14581638661112784, -0.02638851104340717, -0.14155422236916482, 0.14667377063968018, 0.2519862332470332, 0.06119228068079489, -0.19285783318656624, -0.01639071092187591, -0.009652600425076397, 0.24047010885003736, -0.05981257477519559, -0.0702836088032699, 0.14887103696773743, 0.25509302213094104, 0.020325379665283597, 0.11477773403520604, -0.15656668161425522, -0.07508836888511866, -0.20936856279035518, -0.09360801972741005, -0.17495471013563813, -0.07101303444919634, -0.1251267034594111, -0.15602708935130424, 0.376934772065165, 0.2623011000458991, 0.2678577022595039, 0.16535567661847772, 0.3085748183303604, 0.07701716431434832, 0.09396238390392825, 0.11055706349183239, 0.17549494298759336, 0.0886628189347867, 0.058257727698861235, -0.1756883395456837, 0.1286645727597323, 0.02425953317159677] |
709.1641 | Geant4 applications in the heliospheric radiation environment | The high energy ionizing radiation environment in the solar system consists
of three main sources: the radiation belts, galactic cosmic rays and solar
energetic particles. Geant4 is a Monte Carlo radiation transport simulation
toolkit, with applications in areas as high energy physics, nuclear physics,
astrophysics or medical physics research. In this poster, Geant4 applications
to model and study the effects of the heliospheric radiation environment are
presented. Specific applications are being developed to study the effect of the
radiation environment on detector components, to describe the response and to
optimise the design of radiation monitors for future space missions and to
predict the radiation environment in Mars surface, orbits and moons.
| astro-ph | the high energy ionizing radiation environment in the solar system consists of three main sources the radiation belts galactic cosmic rays and solar energetic particles geant4 is a monte carlo radiation transport simulation toolkit with applications in areas as high energy physics nuclear physics astrophysics or medical physics research in this poster geant4 applications to model and study the effects of the heliospheric radiation environment are presented specific applications are being developed to study the effect of the radiation environment on detector components to describe the response and to optimise the design of radiation monitors for future space missions and to predict the radiation environment in mars surface orbits and moons | [['the', 'high', 'energy', 'ionizing', 'radiation', 'environment', 'in', 'the', 'solar', 'system', 'consists', 'of', 'three', 'main', 'sources', 'the', 'radiation', 'belts', 'galactic', 'cosmic', 'rays', 'and', 'solar', 'energetic', 'particles', 'geant4', 'is', 'a', 'monte', 'carlo', 'radiation', 'transport', 'simulation', 'toolkit', 'with', 'applications', 'in', 'areas', 'as', 'high', 'energy', 'physics', 'nuclear', 'physics', 'astrophysics', 'or', 'medical', 'physics', 'research', 'in', 'this', 'poster', 'geant4', 'applications', 'to', 'model', 'and', 'study', 'the', 'effects', 'of', 'the', 'heliospheric', 'radiation', 'environment', 'are', 'presented', 'specific', 'applications', 'are', 'being', 'developed', 'to', 'study', 'the', 'effect', 'of', 'the', 'radiation', 'environment', 'on', 'detector', 'components', 'to', 'describe', 'the', 'response', 'and', 'to', 'optimise', 'the', 'design', 'of', 'radiation', 'monitors', 'for', 'future', 'space', 'missions', 'and', 'to', 'predict', 'the', 'radiation', 'environment', 'in', 'mars', 'surface', 'orbits', 'and', 'moons']] | [-0.041392536447928834, 0.18884049332490913, -0.031092873883542715, 0.13284332673946345, -0.06405804824788829, -0.02472374277390741, -0.07443628993162231, 0.36812840929036744, -0.21758953449609983, -0.42191893112770207, 0.04116660605503565, -0.34601782415028626, -0.05040054360765393, 0.25935129133925716, -0.04136493797036442, 0.03712290454957936, 0.1077425288590225, -0.07417109282792185, 0.009487680503511214, -0.18076953840723076, 0.23846619232633226, 0.2494917316278359, 0.22713390149612417, 0.055978212174162406, 0.10752410163079296, -0.011998142294065506, -0.05157040023121161, -0.04714231125130486, -0.12953537965779663, 0.06091797111665008, 0.2881360587554875, 0.15890767916550372, 0.21524108709297604, -0.4807478737354547, -0.29473078849532447, 0.06796170197645421, 0.06756295606930245, 0.029536951274552324, -0.1277334403911572, -0.2560446180847918, -0.005128499513244475, -0.1978373216246968, -0.16430927579802973, 0.03147855664074824, -0.007536392390459507, 0.055941029055346106, -0.21227045874488917, -0.029392474742086085, -0.03888907745639953, 0.06567560849493151, -0.11535785390433294, -0.08863849750392742, 0.004826686311479624, 0.12576566675786968, 0.055605802043164905, 0.02089005063061376, 0.3030241611371706, -0.15318529693585997, -0.10497149370342225, 0.4264427693980234, -0.003757706799267514, -0.10393929383339914, 0.24493510920453715, -0.2345191513414721, -0.11587681421204596, 0.15584346425702778, 0.27095393473198554, 0.10260223667347082, -0.21292886942591485, 0.0965214824479132, 0.0853214440615596, 0.11738233484415891, -0.005882977281470556, 0.021943812906691753, 0.29287346236005024, 0.19555789777623103, 0.016424927178197143, 0.132389398576977, -0.14760598158337981, -0.053358313333880796, -0.2788057291108343, -0.1668976119526469, -0.1350584114285035, 0.020080649008689163, -0.026065547949910322, -0.16449854331697245, 0.37981334702439, 0.21658498968161866, 0.050324056658323284, -0.08244266983557928, 0.38521229109080796, 0.003913470962386881, 0.012997978614425068, 0.07959296850923885, 0.2918763198210178, 0.11636549959311614, 0.1636599776343451, -0.25059626943238816, 0.03750685504469853, -0.004228058241744031] |
709.1642 | A devil's staircase from rotations and irrationality measures for
Liouville numbers | From Sturmian and Christoffel words we derive a strictly increasing function
$\Delta:[0,\infty)\to\mathbb{R}$. This function is continuous at every
irrational point, while at rational points, left-continuous but not
right-continuous. Moreover, it assumes algebraic integers at rationals, and
transcendental numbers at irrationals. We also see that the differentiation of
$\Delta$ distinguishes some irrationality measures of real numbers.
| math.NT math.CO math.DS | from sturmian and christoffel words we derive a strictly increasing function delta0inftytomathbbr this function is continuous at every irrational point while at rational points leftcontinuous but not rightcontinuous moreover it assumes algebraic integers at rationals and transcendental numbers at irrationals we also see that the differentiation of delta distinguishes some irrationality measures of real numbers | [['from', 'sturmian', 'and', 'christoffel', 'words', 'we', 'derive', 'a', 'strictly', 'increasing', 'function', 'delta0inftytomathbbr', 'this', 'function', 'is', 'continuous', 'at', 'every', 'irrational', 'point', 'while', 'at', 'rational', 'points', 'leftcontinuous', 'but', 'not', 'rightcontinuous', 'moreover', 'it', 'assumes', 'algebraic', 'integers', 'at', 'rationals', 'and', 'transcendental', 'numbers', 'at', 'irrationals', 'we', 'also', 'see', 'that', 'the', 'differentiation', 'of', 'delta', 'distinguishes', 'some', 'irrationality', 'measures', 'of', 'real', 'numbers']] | [-0.1916486995631001, 0.1432919159107971, -0.11910386324463482, 0.14567455804596344, -0.10483038785901887, -0.1952232991569434, 0.1436465370848223, 0.31664424875095765, -0.3765332153092863, -0.15266412146889638, 0.036387978966727304, -0.3750230685152389, -0.19466007769935662, 0.22449748789464744, -0.08642220478159962, 0.020801647514518764, -0.020455232304003503, 0.11611960857623706, -0.06847116530924621, -0.3042692118841741, 0.37833131268551506, -0.12346278279329892, 0.13475395440710364, 0.06650809161537499, 0.15756195446873014, -0.009024927737536255, -0.009286981679637122, -0.041789125806341566, -0.12718832595944857, 0.010667826238743685, 0.2987483570835105, 0.13833353069127985, 0.30710124176133563, -0.30683830167173354, -0.12018991692888516, 0.259486224717909, 0.18000364363952367, -0.017715027111720433, 0.003920493367197061, -0.1848970256331894, 0.09301429319721474, -0.07398287248280314, -0.18978834257426638, -0.08755028968745912, 0.13476734269513851, 0.09658228443758735, -0.27148141783093, 0.022291503169172857, 0.05532990747855769, 0.2016394605377206, -0.016276423159676295, -0.17410412408126932, -0.032854182994924486, 0.053937960450571996, 0.05353469272678787, 0.10783696570433676, 0.07998255405605219, -0.038512286915512825, -0.08877744315261091, 0.33452901451124084, -0.011911193391791097, -0.28387427599065834, 0.13603312124636163, -0.28126826506383995, -0.18015616510442836, 0.178842571305318, 0.051142351512141804, 0.0936133445550998, 0.0050607301613867835, 0.14615817133583026, -0.11453211680054665, 0.18337853345858296, 0.20675924941207524, -0.015176976259142437, 0.1711854435917404, -0.019871134690388485, 0.0843283638910011, 0.10265251587972873, 0.08336160801075122, -0.05475945546533222, -0.3419806896191504, -0.1408610213979113, -0.21003029886978092, 0.10294174448682936, -0.12587335472872602, -0.2229600116369073, 0.3595985725729002, 0.09696105150160966, 0.15210989650545848, 0.24154773451758688, 0.23681941081735272, 0.17389449051201897, 0.036704949344749806, 0.07381352962477615, 0.05865626203821092, 0.062768494458093, 0.06250755993770091, -0.09791728825291136, 0.07417857609430535, 0.1499018973360459] |
709.1643 | Which mechanism underlies the water-like anomalies in core-softened
potentials? | Using molecular dynamics simulations we investigate the thermodynamic of
particles interacting with a continuous and a discrete versions of a
core-softened (CS) intermolecular potential composed by a repulsive shoulder.
Dynamic and structural properties are also analyzed by the simulations. We show
that in the continuous version of the CS potential the density at constant
pressure has a maximum for a certain temperature. Similarly the diffusion
constant, $D$, at a constant temperature has a maximum at a density
$\rho_{\mathrm{max}}$ and a minimum at a density
$\rho_{\mathrm{min}}<\rho_{\mathrm{max}}$, and structural properties are also
anomalous. For the discrete CS potential none of these anomalies are observed.
The absence of anomalies in the discrete case and its presence in the
continuous CS potential are discussed in the framework of the excess entropy.
| cond-mat.stat-mech cond-mat.soft | using molecular dynamics simulations we investigate the thermodynamic of particles interacting with a continuous and a discrete versions of a coresoftened cs intermolecular potential composed by a repulsive shoulder dynamic and structural properties are also analyzed by the simulations we show that in the continuous version of the cs potential the density at constant pressure has a maximum for a certain temperature similarly the diffusion constant d at a constant temperature has a maximum at a density rho_mathrmmax and a minimum at a density rho_mathrmminrho_mathrmmax and structural properties are also anomalous for the discrete cs potential none of these anomalies are observed the absence of anomalies in the discrete case and its presence in the continuous cs potential are discussed in the framework of the excess entropy | [['using', 'molecular', 'dynamics', 'simulations', 'we', 'investigate', 'the', 'thermodynamic', 'of', 'particles', 'interacting', 'with', 'a', 'continuous', 'and', 'a', 'discrete', 'versions', 'of', 'a', 'coresoftened', 'cs', 'intermolecular', 'potential', 'composed', 'by', 'a', 'repulsive', 'shoulder', 'dynamic', 'and', 'structural', 'properties', 'are', 'also', 'analyzed', 'by', 'the', 'simulations', 'we', 'show', 'that', 'in', 'the', 'continuous', 'version', 'of', 'the', 'cs', 'potential', 'the', 'density', 'at', 'constant', 'pressure', 'has', 'a', 'maximum', 'for', 'a', 'certain', 'temperature', 'similarly', 'the', 'diffusion', 'constant', 'd', 'at', 'a', 'constant', 'temperature', 'has', 'a', 'maximum', 'at', 'a', 'density', 'rho_mathrmmax', 'and', 'a', 'minimum', 'at', 'a', 'density', 'rho_mathrmminrho_mathrmmax', 'and', 'structural', 'properties', 'are', 'also', 'anomalous', 'for', 'the', 'discrete', 'cs', 'potential', 'none', 'of', 'these', 'anomalies', 'are', 'observed', 'the', 'absence', 'of', 'anomalies', 'in', 'the', 'discrete', 'case', 'and', 'its', 'presence', 'in', 'the', 'continuous', 'cs', 'potential', 'are', 'discussed', 'in', 'the', 'framework', 'of', 'the', 'excess', 'entropy']] | [-0.12884341787174344, 0.14685012803971767, -0.07233610023930669, 0.01652476111613214, 0.02821857790648937, -0.1010038291066885, 0.05262155672907829, 0.36313769028149545, -0.2624603491127491, -0.27082739882171153, 0.10757817604020238, -0.29603993938118217, -0.14845368049666285, 0.09922497992962599, 0.03680429564043879, 0.05380601519299671, -0.02671304550766945, 0.08162426149472594, -0.09948201614432037, -0.16945479663461446, 0.26308403505012395, 0.055258415047079325, 0.2308373133931309, 0.09855748730152845, 0.07423173157125712, -0.028825625479221344, 0.02379192181862891, 0.09920606346428394, -0.128975033833005, 0.08205380536615849, 0.16666774161346257, 0.03892430874891579, 0.2662069114893675, -0.3896936501786113, -0.3125950435623527, 0.11922021259367466, 0.0768861889350228, 0.10086630261689425, -0.09923453886795323, -0.2426508473139256, 0.07701587866526097, -0.1301656062230468, -0.15290568486601114, -0.05760732436925173, 0.04053885414078832, 0.07152556155622006, -0.2631269221641123, 0.14489039641572163, 0.011379955321550369, 0.07462706600129604, -0.1102082746187225, -0.10998101029917598, -0.034896409843116996, 0.054863675523549316, 0.010014833945780992, 0.003325192553922534, 0.14221515082195402, -0.14363836324214935, -0.07812998167425395, 0.39282946819067, -0.14473991538770498, -0.1680806376039982, 0.24468370935320854, -0.1303280347660184, -0.16107128620520234, 0.163331682857126, 0.14154545375611632, 0.09171364725381136, -0.15310161434859038, 0.1252656927234493, -0.02743569594528526, 0.14319859755039216, 0.05316479606181383, 0.01870544124767184, 0.23808991557359696, 0.12833174626529217, 0.037317946143448355, 0.15993066190183164, -0.11785110057145357, -0.10751144625246525, -0.3030212212204933, -0.16270690923929215, -0.20321971157938243, -0.0008392634354531765, -0.10432467683719006, -0.13920297159254552, 0.38176904401183126, 0.09862680324725806, 0.2172579837217927, 0.03382930051162839, 0.26300677918829024, 0.12943630366027356, 0.04549292770959437, 0.07370033855736256, 0.24072061510384082, 0.15947756661847234, 0.10277516204118729, -0.2734489216953516, 0.05226823514699936, 0.027282381538301707] |
709.1644 | On the Area Functional of the Second Fundamental Form of Ovaloids | The expression for the variation of the area functional of the second
fundamental form of a hypersurface in a Euclidean space involves the so-called
"mean curvature of the second fundamental form". Several new characteristic
properties of (hyper)spheres, in which the mean curvature of the second
fundamental form occurs, are given. In particular, it is shown that the spheres
are the only ovaloids which are a critical point of the area functional of the
second fundamental form under various constraints.
| math.DG | the expression for the variation of the area functional of the second fundamental form of a hypersurface in a euclidean space involves the socalled mean curvature of the second fundamental form several new characteristic properties of hyperspheres in which the mean curvature of the second fundamental form occurs are given in particular it is shown that the spheres are the only ovaloids which are a critical point of the area functional of the second fundamental form under various constraints | [['the', 'expression', 'for', 'the', 'variation', 'of', 'the', 'area', 'functional', 'of', 'the', 'second', 'fundamental', 'form', 'of', 'a', 'hypersurface', 'in', 'a', 'euclidean', 'space', 'involves', 'the', 'socalled', 'mean', 'curvature', 'of', 'the', 'second', 'fundamental', 'form', 'several', 'new', 'characteristic', 'properties', 'of', 'hyperspheres', 'in', 'which', 'the', 'mean', 'curvature', 'of', 'the', 'second', 'fundamental', 'form', 'occurs', 'are', 'given', 'in', 'particular', 'it', 'is', 'shown', 'that', 'the', 'spheres', 'are', 'the', 'only', 'ovaloids', 'which', 'are', 'a', 'critical', 'point', 'of', 'the', 'area', 'functional', 'of', 'the', 'second', 'fundamental', 'form', 'under', 'various', 'constraints']] | [-0.18458314243368096, 0.08921857471607296, -0.08628753061653881, 0.0639467702639183, -0.044182893572540224, -0.052940035456956566, -0.005108106521818834, 0.27627892379613617, -0.28212910806878083, -0.25803641126125676, 0.11683731394248154, -0.2511199663122055, -0.21339576780984673, 0.2077387051916198, -0.05331483339490015, 0.05150456588031559, -0.030196916270718167, 0.17673049698571994, -0.07703416859082689, -0.23993828996450087, 0.3977046234509613, -0.020869499319999277, 0.2575282754164331, 0.0710606973705212, 0.106520331889108, -0.015427820909108166, 0.010836908994596215, 0.050704166304564716, -0.14151186068423308, 0.21506819361231372, 0.16507869459028485, 0.0872208551043951, 0.29905382963486865, -0.38436024515783485, -0.22932345442521043, 0.10675718628247327, 0.08907823832528784, 0.04197125882794491, -0.03375441611661941, -0.21079917374668242, 0.07676869940861494, -0.05987876223376657, -0.12361435866855745, -0.0343334414418551, 0.016745949010777323, 0.04586221275355997, -0.2027635337148286, 0.10527073367958582, 0.08479060661755031, 0.039803722307463235, -0.0939173071550889, -0.11328747330964366, -0.017785333322443635, 0.1749198142545227, 0.05643174535877814, 0.03781587145986814, 0.0949835340857883, -0.16072364737385814, -0.027010102921365936, 0.428603587271292, -0.05027517063625723, -0.2143412010532014, 0.10675577295920517, -0.18950375266184535, -0.16048935727110203, 0.14487083812680426, 0.16777072747273347, 0.14283107309543255, -0.16310915626774106, 0.13255887350680517, -0.03812765605936322, 0.11578041639457504, 0.09504123563182694, 0.013140512141104363, 0.1930310817647584, 0.14076184545926562, 0.1034683112962808, 0.1380838439387234, -0.10474650241151641, -0.15363943190137042, -0.40127164040562474, -0.2390658492929762, -0.20345257414811396, 0.031014635675598548, -0.1354542955037065, -0.20331019479184576, 0.38283814551733153, 0.014981095148604127, 0.20954082395787102, 0.051340881808767024, 0.2560118694047007, 0.13787156605173514, 0.07670387833768243, 0.051914955742798655, 0.25090357802713975, 0.1556272788704196, 0.03536963774645819, -0.1642547512804217, 0.03938515997149899, 0.0907371746894868] |
709.1645 | On Zeta Functions and Families of Siegel Modular Forms | Let $p$ be a prime, and let $\Gamma=\Sp_g(\Z)$ be the Siegel modular group of
genus $g$. We study $p$-adic families of zeta functions and Siegel modular
forms. $L$-functions of Siegel modular forms are described in terms of motivic
$L$-functions attached to $\Sp_g$, and their analytic properties are given.
Critical values for the spinor $L$-functions and $p$-adic constructions are
discussed. Rankin's lemma of higher genus is established. A general conjecture
on a lifting from $ GSp_{2m} \times GSp_{2m}$ to $GSp_{4m}$ (of genus $g=4m$)
is formulated. Constructions of $p$-adic families of Siegel modular forms are
given using Ikeda-Miyawaki constructions.
| math.NT | let p be a prime and let gammasp_gz be the siegel modular group of genus g we study padic families of zeta functions and siegel modular forms lfunctions of siegel modular forms are described in terms of motivic lfunctions attached to sp_g and their analytic properties are given critical values for the spinor lfunctions and padic constructions are discussed rankins lemma of higher genus is established a general conjecture on a lifting from gsp_2m times gsp_2m to gsp_4m of genus g4m is formulated constructions of padic families of siegel modular forms are given using ikedamiyawaki constructions | [['let', 'p', 'be', 'a', 'prime', 'and', 'let', 'gammasp_gz', 'be', 'the', 'siegel', 'modular', 'group', 'of', 'genus', 'g', 'we', 'study', 'padic', 'families', 'of', 'zeta', 'functions', 'and', 'siegel', 'modular', 'forms', 'lfunctions', 'of', 'siegel', 'modular', 'forms', 'are', 'described', 'in', 'terms', 'of', 'motivic', 'lfunctions', 'attached', 'to', 'sp_g', 'and', 'their', 'analytic', 'properties', 'are', 'given', 'critical', 'values', 'for', 'the', 'spinor', 'lfunctions', 'and', 'padic', 'constructions', 'are', 'discussed', 'rankins', 'lemma', 'of', 'higher', 'genus', 'is', 'established', 'a', 'general', 'conjecture', 'on', 'a', 'lifting', 'from', 'gsp_2m', 'times', 'gsp_2m', 'to', 'gsp_4m', 'of', 'genus', 'g4m', 'is', 'formulated', 'constructions', 'of', 'padic', 'families', 'of', 'siegel', 'modular', 'forms', 'are', 'given', 'using', 'ikedamiyawaki', 'constructions']] | [-0.29274862408219426, 0.05203288978127909, -0.21186310337500625, 0.08647271610137201, -0.10861337061427283, -0.1437352813121057, -0.04514477714592737, 0.2232759880801935, -0.27236126873935207, -0.2444306319537625, 0.054153421191299816, -0.21909682404019692, -0.155366704663199, 0.32927859919878205, -0.15115954033151435, 0.04399782480568013, -0.04566017383437478, 0.10786240066537696, -0.14151823741980316, -0.4024166126390187, 0.46017720809813295, -0.06136272919856096, 0.14126012766252408, 0.03540083027204101, 0.008451483510643914, -0.019518041093781423, 0.04636223915064435, -0.20590944732591676, -0.16719318320974708, 0.22184771078565482, 0.4148556550185123, -0.0020475158875996476, 0.19288620137180504, -0.41191486955693596, -0.10777261927776206, 0.22063135486514715, 0.10211604666697342, -0.0948904353518332, 0.06745802922294673, -0.2541286755311355, 0.07590414627109852, -0.1295335746966721, -0.22501804478717655, -0.15651529091881233, 0.055107944325826476, 0.0458128315611125, -0.271218391030692, -0.0063370449698708035, 0.023426595405581292, 0.2521519177708398, -0.10978991460588793, -0.21745181525141796, -0.061600119885308356, 0.022092498786580025, 0.02670622208375442, 0.08908357556250072, 0.07562163739669231, -0.12301730868940274, -0.10469274790538999, 0.30715589610378397, -0.03357786430945892, -0.193879857837233, 0.0842969168521715, -0.18634180701272351, -0.23442999126515193, 0.06905358152861675, 0.11658376833068186, 0.17754625411850683, 0.04546530108396592, 0.218801487349788, -0.141508784186974, 0.019935176310160858, 0.22417262546048405, -0.0709669088252841, 0.19666537382441124, -0.01618565857839467, -0.030730751520964536, 0.20542041850380935, 0.06727874636116406, -0.0346169972169642, -0.35042016172593227, -0.18928037631963746, -0.11887855940822804, 0.16287480598169096, -0.13144139345314124, -0.18568573009976175, 0.4481285278884213, 0.018183748227324378, 0.14045679345308396, 0.2359568090230394, 0.15163047375220262, 0.17269754653608196, 0.14022129734460098, 0.0496418385850161, 0.024148177345063578, 0.297383391905283, -0.15472290531491464, -0.02876625892057429, -0.040677853144464614, 0.23949999459809884] |
709.1646 | Energy, Rapidity and Transverse Momentum Dependence of Multiplicity
Fluctuations in Heavy Ion Collisions at CERN SPS | Multiplicity fluctuations in the forward hemisphere were studied for
positively, negatively and all charged hadrons produced in central Pb+Pb
collisions at 20A, 30A, 40A, 80A and 158A GeV. The multiplicity distributions
and their scaled variances are presented as a function of collision energy,
rapidity and transverse momentum. The distributions have a bell-like shape and
the scaled variance changes monotonously with energy in the range from 0.8 to
1.2. No indication of the critical point is observed.
The string-hadronic model UrQMD reproduces results on the scaled variance.
The predictions of the hadron-resonance gas model obtained within the
grand-canonical and canonical ensembles for the scaled variance disagree with
the data.
| nucl-ex | multiplicity fluctuations in the forward hemisphere were studied for positively negatively and all charged hadrons produced in central pbpb collisions at 20a 30a 40a 80a and 158a gev the multiplicity distributions and their scaled variances are presented as a function of collision energy rapidity and transverse momentum the distributions have a belllike shape and the scaled variance changes monotonously with energy in the range from 08 to 12 no indication of the critical point is observed the stringhadronic model urqmd reproduces results on the scaled variance the predictions of the hadronresonance gas model obtained within the grandcanonical and canonical ensembles for the scaled variance disagree with the data | [['multiplicity', 'fluctuations', 'in', 'the', 'forward', 'hemisphere', 'were', 'studied', 'for', 'positively', 'negatively', 'and', 'all', 'charged', 'hadrons', 'produced', 'in', 'central', 'pbpb', 'collisions', 'at', '20a', '30a', '40a', '80a', 'and', '158a', 'gev', 'the', 'multiplicity', 'distributions', 'and', 'their', 'scaled', 'variances', 'are', 'presented', 'as', 'a', 'function', 'of', 'collision', 'energy', 'rapidity', 'and', 'transverse', 'momentum', 'the', 'distributions', 'have', 'a', 'belllike', 'shape', 'and', 'the', 'scaled', 'variance', 'changes', 'monotonously', 'with', 'energy', 'in', 'the', 'range', 'from', '08', 'to', '12', 'no', 'indication', 'of', 'the', 'critical', 'point', 'is', 'observed', 'the', 'stringhadronic', 'model', 'urqmd', 'reproduces', 'results', 'on', 'the', 'scaled', 'variance', 'the', 'predictions', 'of', 'the', 'hadronresonance', 'gas', 'model', 'obtained', 'within', 'the', 'grandcanonical', 'and', 'canonical', 'ensembles', 'for', 'the', 'scaled', 'variance', 'disagree', 'with', 'the', 'data']] | [-0.05139607027511509, 0.21366666453562816, -0.1384189037942431, 0.1890436384311653, 0.11151536207008003, -0.09594521531404031, -0.04917498269760809, 0.3749366733762953, -0.1650761048162908, -0.3323819009863116, -0.050603499121886365, -0.3943927575558148, 0.1154724172083661, 0.15179086422668425, 0.015573082411989432, 0.09552347694989294, 0.099479725299817, 0.007979229152961462, -0.0574862994889608, -0.16763582358948448, 0.26869628547811536, 0.15740355244984297, 0.26219169581653895, 0.10049738323626418, 0.08963717356500975, 0.08184306544286234, -0.021209607599303126, 0.03267302667221951, -0.14916119924358404, 0.0354752875495992, 0.22516810553389843, 0.015148936783791415, 0.17436038508700827, -0.3041026480668397, -0.1406690793681062, 0.14801280270330608, 0.15488843030416993, 0.031874346253634604, -0.0505374280781123, -0.23930205334971577, 0.07835274447751106, -0.20119707254451458, -0.18765512913793186, -0.00558243921086951, -0.012536105316097813, 0.11773186146402387, -0.2673740863554283, 0.19946244623322315, 0.0017996736477706927, 0.07260255343970601, -0.0512065291835892, -0.25471142771722816, -0.1057122930780881, 0.033938314093069896, 0.08319689047574583, 0.08348973864189314, 0.22539632826077718, -0.10098144665944683, -0.10966943782599022, 0.33546356045365056, -0.028151327390568675, -0.16345413674220996, 0.15044847510634335, -0.25243475720614056, -0.12824629564096945, 0.1754725278372428, 0.2018895843885494, 0.06417138729227224, -0.175703764203246, 0.026911889734307165, -0.0209424302964315, 0.14420479015340484, 0.08640186696235712, 0.015063114803827679, 0.17972534522414207, 0.14020092609441942, -0.0496834824400678, 0.08072023589085331, -0.1461088926320102, -0.16519016865856462, -0.3382936306297779, -0.09083511191420257, -0.16408629819030734, 0.018484808119764138, -0.13101312327462775, -0.06714060983870661, 0.3516469630930159, 0.09112891986862653, 0.3190164569316915, 0.04838830477523583, 0.22933870311654, 0.10511276885086705, 0.04431564488051528, 0.1314172097524904, 0.251392128605706, 0.15615327838653079, 0.21701690308853155, -0.23033563000434595, 0.03200092636635182, 0.01359533793637874] |
709.1647 | Unfolding Restricted Convex Caps | This paper details an algorithm for unfolding a class of convex polyhedra,
where each polyhedron in the class consists of a convex cap over a rectangular
base, with several restrictions: the cap's faces are quadrilaterals, with
vertices over an underlying integer lattice, and such that the cap convexity is
``radially monotone,'' a type of smoothness constraint. Extensions of Cauchy's
arm lemma are used in the proof of non-overlap.
| cs.CG | this paper details an algorithm for unfolding a class of convex polyhedra where each polyhedron in the class consists of a convex cap over a rectangular base with several restrictions the caps faces are quadrilaterals with vertices over an underlying integer lattice and such that the cap convexity is radially monotone a type of smoothness constraint extensions of cauchys arm lemma are used in the proof of nonoverlap | [['this', 'paper', 'details', 'an', 'algorithm', 'for', 'unfolding', 'a', 'class', 'of', 'convex', 'polyhedra', 'where', 'each', 'polyhedron', 'in', 'the', 'class', 'consists', 'of', 'a', 'convex', 'cap', 'over', 'a', 'rectangular', 'base', 'with', 'several', 'restrictions', 'the', 'caps', 'faces', 'are', 'quadrilaterals', 'with', 'vertices', 'over', 'an', 'underlying', 'integer', 'lattice', 'and', 'such', 'that', 'the', 'cap', 'convexity', 'is', 'radially', 'monotone', 'a', 'type', 'of', 'smoothness', 'constraint', 'extensions', 'of', 'cauchys', 'arm', 'lemma', 'are', 'used', 'in', 'the', 'proof', 'of', 'nonoverlap']] | [-0.13265360220034114, 0.014671886165588684, -0.051231341888470686, -0.003591022440506255, -0.1356818202252993, -0.11627095644892987, 0.006518404935965972, 0.36158256388871984, -0.3453453001874389, -0.1935030898586025, 0.1548830991001416, -0.2784426202552448, -0.13825360285666058, 0.16746460147859418, -0.15897643154569188, 0.023804091136245167, 0.027993529740556636, 0.01900457579348072, -0.08271385298918604, -0.2663914963674923, 0.3287488809471731, -0.09076724061057628, 0.16589757942539804, 0.06436538574395373, 0.11144312217776828, 0.054880288141943956, 0.051179368466631896, 0.07432690596974947, -0.14926858018000477, 0.16663410962792113, 0.2524660024997395, 0.14230846817714765, 0.29348736634368405, -0.42003931995371685, -0.13015792647595792, 0.14657660753137486, 0.10891515782842522, 0.02104963385500014, -0.030699016156551594, -0.19798954435185911, 0.07078090323792662, -0.10048383501741816, -0.14514679893139093, 0.013845130061621176, 0.03737701829831006, 0.08303238891070418, -0.3262081141309703, -0.051855384878923785, 0.15670546453774853, 0.10843754995285589, -0.07801843619124744, -0.18384676575934625, -0.004497005467248314, 0.024077711599495483, 0.015928853779127273, 0.09924554968636264, 0.10141760540906997, -0.0820256173987325, -0.1576284423799199, 0.37093472130158367, 0.04064379455795621, -0.2997142067658441, 0.1234189289937015, -0.11938932666774182, -0.1551996246665059, 0.1677493805284886, 0.16257512191420093, 0.17296263200970477, -0.09959512627135743, 0.16808865108332077, -0.15979055563837072, 0.10889799052144072, 0.14096899574403376, 0.010332667248268776, 0.1692361206994118, 0.13306811050621464, 0.19117434765212238, 0.20301239404772572, -0.07278853076893617, -0.08979210849193965, -0.3925780829535249, -0.14949383367510402, -0.1991014565779444, 0.0098421611576615, -0.1586171617208867, -0.22100840105678585, 0.4013726474607692, -0.02101446651881013, 0.16312439989654676, 0.12851281751029411, 0.24445688078070388, 0.013383368358892552, 0.08012753366218771, 0.09852641829809941, 0.11980477360296338, 0.11231497442349792, -0.010887620501521537, -0.13197051568696386, 0.06165140098207356, 0.16529219600317233] |
709.1648 | Asymptotics: Particles, Processes and Inverse Problems. Festschrift for
Piet Groeneboom | In September 2006, Piet Groeneboom officially retired as professor of
statistics at Delft University of Technology and the Vrije Universiteit in
Amsterdam. He did so by delivering his farewell lecture `Summa Cogitatio' ([42]
in Piet's publication list) in the Aula of the university in Delft. To
celebrate Piet's impressive contributions to statistics and probability, the
workshop `Asymptotics: particles, processes and inverse problems' was held from
July 10 until July 14, 2006, at the Lorentz Center in Leiden. Many leading
researchers in the fields of probability and statistics gave talks at this
workshop, and it became a memorable event for all who attended, including the
organizers and Piet himself. This volume serves as a Festschrift for Piet
Groeneboom. It contains papers that were presented at the workshop as well as
some other contributions, and it represents the state of the art in the areas
in statistics and probability where Piet has been (and still is) most active.
Furthermore, a short CV of Piet Groeneboom and a list of his publications are
included.
| math.ST stat.TH | in september 2006 piet groeneboom officially retired as professor of statistics at delft university of technology and the vrije universiteit in amsterdam he did so by delivering his farewell lecture summa cogitatio 42 in piets publication list in the aula of the university in delft to celebrate piets impressive contributions to statistics and probability the workshop asymptotics particles processes and inverse problems was held from july 10 until july 14 2006 at the lorentz center in leiden many leading researchers in the fields of probability and statistics gave talks at this workshop and it became a memorable event for all who attended including the organizers and piet himself this volume serves as a festschrift for piet groeneboom it contains papers that were presented at the workshop as well as some other contributions and it represents the state of the art in the areas in statistics and probability where piet has been and still is most active furthermore a short cv of piet groeneboom and a list of his publications are included | [['in', 'september', '2006', 'piet', 'groeneboom', 'officially', 'retired', 'as', 'professor', 'of', 'statistics', 'at', 'delft', 'university', 'of', 'technology', 'and', 'the', 'vrije', 'universiteit', 'in', 'amsterdam', 'he', 'did', 'so', 'by', 'delivering', 'his', 'farewell', 'lecture', 'summa', 'cogitatio', '42', 'in', 'piets', 'publication', 'list', 'in', 'the', 'aula', 'of', 'the', 'university', 'in', 'delft', 'to', 'celebrate', 'piets', 'impressive', 'contributions', 'to', 'statistics', 'and', 'probability', 'the', 'workshop', 'asymptotics', 'particles', 'processes', 'and', 'inverse', 'problems', 'was', 'held', 'from', 'july', '10', 'until', 'july', '14', '2006', 'at', 'the', 'lorentz', 'center', 'in', 'leiden', 'many', 'leading', 'researchers', 'in', 'the', 'fields', 'of', 'probability', 'and', 'statistics', 'gave', 'talks', 'at', 'this', 'workshop', 'and', 'it', 'became', 'a', 'memorable', 'event', 'for', 'all', 'who', 'attended', 'including', 'the', 'organizers', 'and', 'piet', 'himself', 'this', 'volume', 'serves', 'as', 'a', 'festschrift', 'for', 'piet', 'groeneboom', 'it', 'contains', 'papers', 'that', 'were', 'presented', 'at', 'the', 'workshop', 'as', 'well', 'as', 'some', 'other', 'contributions', 'and', 'it', 'represents', 'the', 'state', 'of', 'the', 'art', 'in', 'the', 'areas', 'in', 'statistics', 'and', 'probability', 'where', 'piet', 'has', 'been', 'and', 'still', 'is', 'most', 'active', 'furthermore', 'a', 'short', 'cv', 'of', 'piet', 'groeneboom', 'and', 'a', 'list', 'of', 'his', 'publications', 'are', 'included']] | [-0.012228923102416698, 0.1066363488398132, -0.1015155778191651, 0.048039082793236175, -0.07223186910241133, -0.13196042324748955, 0.06091166451612177, 0.2777450373867482, -0.13707983268666016, -0.40597136674027534, 0.14002061478857372, -0.3732853598083325, -0.10514827367816386, 0.1909465033206202, -0.14341223308639156, 0.0030786070031657196, 0.05088324553798884, 0.06322388014675762, 0.03816257659318147, -0.36529730507685426, 0.20058878720460815, 0.15219092591931777, 0.2815206573522162, 0.06931953885248818, 0.11263363433924194, 0.031171939867947782, -0.10894085557222188, -0.05485252252644083, -0.07870354857234252, 0.05128445918845024, 0.34314908988640774, 0.1651602514085382, 0.3405974308206212, -0.3624767392507887, -0.09891203483095437, -0.00017536570279238126, 0.04879143178030582, 0.07001124113334559, -0.008365204117754252, -0.3224917536080327, -0.0055535390718086134, -0.22053035281022035, -0.07830336806641537, 0.05615560834606489, 0.1173692629256818, 0.029873926102438764, -0.15350646153646744, 0.060951092237398065, 0.052697039408875365, 0.13952342123402992, 0.006819144576660446, -0.18095024984185806, 0.024344605576364604, 0.16681338016446934, 0.04563094913776565, 0.08442610163044828, 0.0659498417870574, -0.1294832793327736, -0.1487299194559455, 0.3591553387661753, -0.008405303192765652, -0.005172582226805389, 0.16990624749312355, -0.163596727414101, -0.21087424710276537, 0.09055512416220847, 0.18969549229534874, 0.07041550808103889, -0.15836108566006823, 0.1086296670553219, -0.018784921707785025, 0.10272558324305421, 0.14629132391530134, -0.06299288768509757, 0.19091860491425905, 0.08980231890122273, -0.04983793471009925, 0.07700850521740947, -0.07480931915398244, -0.08225288542286892, -0.292600085696904, -0.17774315416491368, -0.1481256110883329, 0.027670732548271883, 0.09629274145620348, -0.09886429849540859, 0.3786923967806312, 0.10462048218496853, 0.11931223205811832, -0.02902662708636074, 0.17745008775853507, 0.022695526355251093, 0.0252496731561786, 0.13399018390503312, 0.2234908790596819, 0.11416703144676008, 0.2390192584702856, -0.062105469789544475, 0.06474337990151807, 0.09941299536651405] |
709.1649 | The Vertical Structure of Planet-induced Gaps in Proto-Planetary Discs | Giant planets embedded in circumstellar discs are expected to open gaps in
these discs. We examine the vertical structure of the gap edges. We find that
the planet excites spiral arms with significant (Mach number of a half)
vertical motion of the gas, and discuss the implications of these motions. In
particular, the spiral arms will induce strong vertical stirring of the dust,
making the edge appeared `puffed up' relative to the bulk of the disc.
Infra-red observations (sensitive to dust) would be dominated by the light from
the thick inner edge of the disc. Sub-millimetre observations (sensitive to gas
velocities) would appear to be hot in `turbulent' motions (actually the ordered
motion caused by the passage of the spiral arms), but cold in chemistry.
Resolved sub-millimetre maps of circumstellar discs might even be able to
detect the spiral arms directly.
| astro-ph | giant planets embedded in circumstellar discs are expected to open gaps in these discs we examine the vertical structure of the gap edges we find that the planet excites spiral arms with significant mach number of a half vertical motion of the gas and discuss the implications of these motions in particular the spiral arms will induce strong vertical stirring of the dust making the edge appeared puffed up relative to the bulk of the disc infrared observations sensitive to dust would be dominated by the light from the thick inner edge of the disc submillimetre observations sensitive to gas velocities would appear to be hot in turbulent motions actually the ordered motion caused by the passage of the spiral arms but cold in chemistry resolved submillimetre maps of circumstellar discs might even be able to detect the spiral arms directly | [['giant', 'planets', 'embedded', 'in', 'circumstellar', 'discs', 'are', 'expected', 'to', 'open', 'gaps', 'in', 'these', 'discs', 'we', 'examine', 'the', 'vertical', 'structure', 'of', 'the', 'gap', 'edges', 'we', 'find', 'that', 'the', 'planet', 'excites', 'spiral', 'arms', 'with', 'significant', 'mach', 'number', 'of', 'a', 'half', 'vertical', 'motion', 'of', 'the', 'gas', 'and', 'discuss', 'the', 'implications', 'of', 'these', 'motions', 'in', 'particular', 'the', 'spiral', 'arms', 'will', 'induce', 'strong', 'vertical', 'stirring', 'of', 'the', 'dust', 'making', 'the', 'edge', 'appeared', 'puffed', 'up', 'relative', 'to', 'the', 'bulk', 'of', 'the', 'disc', 'infrared', 'observations', 'sensitive', 'to', 'dust', 'would', 'be', 'dominated', 'by', 'the', 'light', 'from', 'the', 'thick', 'inner', 'edge', 'of', 'the', 'disc', 'submillimetre', 'observations', 'sensitive', 'to', 'gas', 'velocities', 'would', 'appear', 'to', 'be', 'hot', 'in', 'turbulent', 'motions', 'actually', 'the', 'ordered', 'motion', 'caused', 'by', 'the', 'passage', 'of', 'the', 'spiral', 'arms', 'but', 'cold', 'in', 'chemistry', 'resolved', 'submillimetre', 'maps', 'of', 'circumstellar', 'discs', 'might', 'even', 'be', 'able', 'to', 'detect', 'the', 'spiral', 'arms', 'directly']] | [-0.15203953919546673, 0.15884514502827607, -0.08021159699279154, 0.059224777207676826, -0.11157341461285208, 0.005156622654659317, -0.005065200840459859, 0.42162425596768976, -0.27349309884143846, -0.31508388554558475, 0.06491117715977582, -0.23045515331129232, -0.05263357309142379, 0.12574899438083342, -0.049452564649363144, -0.006004808371529934, 0.03178554788357347, -0.1385221481686524, -0.0018645647833956049, -0.23976348882214107, 0.30719012653468347, 0.04855608958783989, 0.07272952170514152, -0.039905794055683286, -0.007497906922659976, -0.13928574616096068, -0.08166215203847763, 0.0019631668700711103, -0.209901021531189, 0.07008375561340376, 0.21993920197776445, 0.010064331695754478, 0.21348762896212464, -0.49990818892599, -0.19377421005794132, 0.03679019987834155, 0.19603862997527557, 0.07407888628753788, -0.020555472516633096, -0.28990752321683655, 0.061951759175549376, -0.12429458929164086, -0.24445332298781855, 0.06003997715665622, 0.060189074849881605, 0.013502984052583416, -0.2165975539919471, 0.10103360815832378, 0.08144586306282671, 0.041065858815737225, -0.07589402927105572, -0.0756150582600517, -0.10388011103892263, 0.09444199307286676, 0.038516273953231935, 0.07103131134690492, 0.2758304444042609, -0.17676247407662424, -0.03815728108933632, 0.4088766331923135, -0.11078426627613974, -0.049180155032122815, 0.2719495404538111, -0.28349234384042044, -0.08651328219863724, 0.20787364897047375, 0.16977961493510726, 0.07552616452758616, -0.07815069322191932, -0.02330906370841297, -0.08374267598574466, 0.16023156991647886, 0.13211911161436785, 0.07278216315155968, 0.41136897225857627, 0.06208437449399527, 0.07959880032213339, 0.1451083331423356, -0.2245537452061218, -0.09842877216795658, -0.20657139844162034, -0.13162564169219199, -0.12289854098137812, 0.03152108568430247, -0.0903728071348172, -0.15472371881689004, 0.30297751804972267, 0.12587213250213958, 0.23048112661650416, -0.05396069234388993, 0.32600255442637927, 0.049255667335241504, 0.1559623881335641, 0.18023672386184864, 0.3332134357963999, 0.154164545102613, 0.044427784252251294, -0.27362017940353367, 0.10193084614600735, -0.05120470839823391] |
709.165 | Gapless superconductivity and the Fermi arc in the cuprates | We argue that the Fermi arc observed in angle resolved photoemission
measurements in underdoped cuprates can be understood as a consequence of
inelastic scattering in a d-wave superconductor. We analyze this phenomenon in
the context of strong coupling Eliashberg theory, deriving a `single lifetime'
model for describing the temperature evolution of the spectral gap as measured
by single particle probes such as photoemission and tunneling.
| cond-mat.str-el cond-mat.supr-con | we argue that the fermi arc observed in angle resolved photoemission measurements in underdoped cuprates can be understood as a consequence of inelastic scattering in a dwave superconductor we analyze this phenomenon in the context of strong coupling eliashberg theory deriving a single lifetime model for describing the temperature evolution of the spectral gap as measured by single particle probes such as photoemission and tunneling | [['we', 'argue', 'that', 'the', 'fermi', 'arc', 'observed', 'in', 'angle', 'resolved', 'photoemission', 'measurements', 'in', 'underdoped', 'cuprates', 'can', 'be', 'understood', 'as', 'a', 'consequence', 'of', 'inelastic', 'scattering', 'in', 'a', 'dwave', 'superconductor', 'we', 'analyze', 'this', 'phenomenon', 'in', 'the', 'context', 'of', 'strong', 'coupling', 'eliashberg', 'theory', 'deriving', 'a', 'single', 'lifetime', 'model', 'for', 'describing', 'the', 'temperature', 'evolution', 'of', 'the', 'spectral', 'gap', 'as', 'measured', 'by', 'single', 'particle', 'probes', 'such', 'as', 'photoemission', 'and', 'tunneling']] | [-0.1622317972019888, 0.18892706453692742, -0.0988341279184589, 0.13283685814553442, -0.02211681009771732, -0.15408369097142266, 0.10334161480423062, 0.37144469539993086, -0.3061815179597873, -0.3222090391298899, -0.04209757873501915, -0.3228930363861414, -0.10209523490988291, 0.16703979833087382, 0.03407041862463722, 0.04263717773406265, -0.017301416855591993, -0.05269115361599968, -0.13847739161708608, -0.13750805069262592, 0.33035123702138663, 0.04129176546613542, 0.2629675618731059, 0.14228590531991078, 0.014090456097171857, 0.08126460371109155, 0.07911402141818634, 0.0952548674809245, -0.1640361122541855, 0.013531028608290049, 0.3267263509046573, -0.0523497426452545, 0.16200515208765864, -0.4184249658997242, -0.2857266873264542, -0.04339521784478655, 0.20409808183232178, 0.1331439147166048, -0.05991592422629205, -0.2635555625821535, -0.041885262881763856, -0.16119103257257777, -0.16343047855995022, -0.10412768200756266, -0.05420036321649185, -0.054652294584621605, -0.18754434262473996, 0.12745368610530233, -0.0006522814528300212, 0.055143054916362205, -0.09868087598051016, -0.029788554287873782, -0.042756587094985525, 0.007615724112838507, 0.06071161037275138, 0.0693968901410699, 0.10383276055352046, -0.14939765201953167, -0.13742473937141209, 0.3263957456900523, -0.1378076128876553, -0.047713544399504405, 0.08814392599921961, -0.23692019350396898, -0.11467480971836126, 0.08947863005674803, 0.09093743754940359, 0.11874609808079326, -0.1745329996284384, 0.08537855631080814, -0.1079261627764656, 0.16898704629677994, 0.07493018125488352, 0.12540447670572366, 0.26531865364657, 0.2742857558491568, -0.034916385478125166, 0.08424182750213031, -0.20902881518257066, -0.007550871945344485, -0.28938097139963737, -0.13648181511805607, -0.2457751196737473, 0.10941904481285467, -0.013513104552895618, -0.17470790461565439, 0.361417021896117, 0.12171008878459151, 0.2756572777835222, -0.06535316900923276, 0.26662347518767304, 0.15209266637237026, 0.05352544779531085, -0.006407614030803625, 0.28873056018581755, 0.15672515913342627, 0.11495151029756435, -0.33203923240877115, 0.0980800571708152, 0.008249688413567269] |
709.1651 | Local distinguishability of orthogonal 2\otimes3 pure states | We present a complete characterization for the local distinguishability of
orthogonal $2\otimes 3$ pure states except for some special cases of three
states. Interestingly, we find there is a large class of four or three states
that are indistinguishable by local projective measurements and classical
communication (LPCC) can be perfectly distinguishable by LOCC. That indicates
the ability of LOCC for discriminating $2\otimes 3$ states is strictly more
powerful than that of LPCC, which is strikingly different from the case of
multi-qubit states. We also show that classical communication plays a crucial
role for local distinguishability by constructing a class of $m\otimes n$
states which require at least $2\min\{m,n\}-2$ rounds of classical
communication in order to achieve a perfect local discrimination.
| quant-ph | we present a complete characterization for the local distinguishability of orthogonal 2otimes 3 pure states except for some special cases of three states interestingly we find there is a large class of four or three states that are indistinguishable by local projective measurements and classical communication lpcc can be perfectly distinguishable by locc that indicates the ability of locc for discriminating 2otimes 3 states is strictly more powerful than that of lpcc which is strikingly different from the case of multiqubit states we also show that classical communication plays a crucial role for local distinguishability by constructing a class of motimes n states which require at least 2minmn2 rounds of classical communication in order to achieve a perfect local discrimination | [['we', 'present', 'a', 'complete', 'characterization', 'for', 'the', 'local', 'distinguishability', 'of', 'orthogonal', '2otimes', '3', 'pure', 'states', 'except', 'for', 'some', 'special', 'cases', 'of', 'three', 'states', 'interestingly', 'we', 'find', 'there', 'is', 'a', 'large', 'class', 'of', 'four', 'or', 'three', 'states', 'that', 'are', 'indistinguishable', 'by', 'local', 'projective', 'measurements', 'and', 'classical', 'communication', 'lpcc', 'can', 'be', 'perfectly', 'distinguishable', 'by', 'locc', 'that', 'indicates', 'the', 'ability', 'of', 'locc', 'for', 'discriminating', '2otimes', '3', 'states', 'is', 'strictly', 'more', 'powerful', 'than', 'that', 'of', 'lpcc', 'which', 'is', 'strikingly', 'different', 'from', 'the', 'case', 'of', 'multiqubit', 'states', 'we', 'also', 'show', 'that', 'classical', 'communication', 'plays', 'a', 'crucial', 'role', 'for', 'local', 'distinguishability', 'by', 'constructing', 'a', 'class', 'of', 'motimes', 'n', 'states', 'which', 'require', 'at', 'least', '2minmn2', 'rounds', 'of', 'classical', 'communication', 'in', 'order', 'to', 'achieve', 'a', 'perfect', 'local', 'discrimination']] | [-0.15747518905051083, 0.18258873051611565, -0.06032582494516332, 0.052608231145168556, 0.04048684669048095, -0.2509867959154942, 0.03530463611339258, 0.31810288528810027, -0.21644941104200333, -0.2960004560774615, 0.07026024119920653, -0.2566242819796747, -0.13463514773840352, 0.20634290359781257, -0.04121341397437979, 0.051310160549498406, 0.08115411604198963, 0.04315150876239944, -0.07046925480000112, -0.25481375379628746, 0.3586459869847578, -0.020119137404596105, 0.2723424764537886, -0.017969661544883202, 0.055838714907446706, 0.04062132135487529, 0.02156524731926307, 0.03069375447466118, -0.07382523041916032, 0.11194723759320009, 0.3262769784308782, 0.16491434543526598, 0.23816386244197166, -0.398466869860011, -0.18686403664016799, 0.19536983590776555, 0.11376963114021581, 0.1360150001015702, -0.042199418565650675, -0.2598013689862799, 0.08574379492695874, -0.12602481295104226, -0.09744933569616004, -0.09896901095317316, 0.02716737049592643, -0.06616516348694552, -0.3074955658467698, 0.11565996446434464, 0.10322994901994322, 0.0538967243403572, 0.015667758568996142, -0.09218526191759009, -0.027841129582844862, 0.14196132556457042, -0.10570153127377462, -0.006990883585472568, 0.07694695459897904, -0.135211283270614, -0.18441655048552683, 0.35934344151628617, -0.041714888147862055, -0.189395515396878, 0.22232615745415082, -0.12857489518727325, -0.15528007606905297, 0.0969918707528488, 0.08375917171605494, 0.13081066776849642, -0.09955312659917008, 0.03958816725727437, -0.09636382829249218, 0.18251418602112837, 0.09811683056656928, 0.16205875020662025, 0.14468663473057897, 0.07906213849626419, 0.16366444826086968, 0.17248467352738245, -0.04029561943538925, -0.1233693780436204, -0.3267781919635394, -0.20523968115918526, -0.2051568798439092, 0.10266826113200739, -0.08095443563742716, -0.07794075458459243, 0.4034530536737293, 0.047870885733878946, 0.15064534333636279, 0.07612485500999547, 0.24928290240403986, 0.04484558632957334, 0.028164874144023706, 0.13279000612194924, 0.2775746033100916, 0.12051810814701647, -0.033097855011079494, -0.16686296781736323, 0.06956450697895483, 0.01332491499904011] |
709.1652 | Top Quarks, Axigluons and Charge Asymmetries at Hadron Colliders | Axigluons are colored heavy neutral gauge boson that couple to quarks through
an axial vector current and the same strong coupling as gluons. The most
important model-independent manifestation of axigluons is the generation of a
forward--backward asymmetry in top-antitop quark production at $p\bar{p}$
collisions which originates from the charge asymmetry. We update our previous
analysis for the inclusive QCD induced forward--backward asymmetry and define a
new observable which is more sensitive to the effect than the forward--backward
asymmetry. Furthermore, we find a lower limit of 1.2 TeV at 90% C.L. on the
axigluon mass from recent measurements of the asymmetry at Tevatron. Also at
LHC, the charge asymmetry is sizable in suitably selected samples. We evaluate
this asymmetry in the central region for different selection cuts and show
that, like at Tevatron, the charge asymmetry can probe larger values of the
axigluon mass than the dijet mass distribution.
| hep-ph hep-ex | axigluons are colored heavy neutral gauge boson that couple to quarks through an axial vector current and the same strong coupling as gluons the most important modelindependent manifestation of axigluons is the generation of a forwardbackward asymmetry in topantitop quark production at pbarp collisions which originates from the charge asymmetry we update our previous analysis for the inclusive qcd induced forwardbackward asymmetry and define a new observable which is more sensitive to the effect than the forwardbackward asymmetry furthermore we find a lower limit of 12 tev at 90 cl on the axigluon mass from recent measurements of the asymmetry at tevatron also at lhc the charge asymmetry is sizable in suitably selected samples we evaluate this asymmetry in the central region for different selection cuts and show that like at tevatron the charge asymmetry can probe larger values of the axigluon mass than the dijet mass distribution | [['axigluons', 'are', 'colored', 'heavy', 'neutral', 'gauge', 'boson', 'that', 'couple', 'to', 'quarks', 'through', 'an', 'axial', 'vector', 'current', 'and', 'the', 'same', 'strong', 'coupling', 'as', 'gluons', 'the', 'most', 'important', 'modelindependent', 'manifestation', 'of', 'axigluons', 'is', 'the', 'generation', 'of', 'a', 'forwardbackward', 'asymmetry', 'in', 'topantitop', 'quark', 'production', 'at', 'pbarp', 'collisions', 'which', 'originates', 'from', 'the', 'charge', 'asymmetry', 'we', 'update', 'our', 'previous', 'analysis', 'for', 'the', 'inclusive', 'qcd', 'induced', 'forwardbackward', 'asymmetry', 'and', 'define', 'a', 'new', 'observable', 'which', 'is', 'more', 'sensitive', 'to', 'the', 'effect', 'than', 'the', 'forwardbackward', 'asymmetry', 'furthermore', 'we', 'find', 'a', 'lower', 'limit', 'of', '12', 'tev', 'at', '90', 'cl', 'on', 'the', 'axigluon', 'mass', 'from', 'recent', 'measurements', 'of', 'the', 'asymmetry', 'at', 'tevatron', 'also', 'at', 'lhc', 'the', 'charge', 'asymmetry', 'is', 'sizable', 'in', 'suitably', 'selected', 'samples', 'we', 'evaluate', 'this', 'asymmetry', 'in', 'the', 'central', 'region', 'for', 'different', 'selection', 'cuts', 'and', 'show', 'that', 'like', 'at', 'tevatron', 'the', 'charge', 'asymmetry', 'can', 'probe', 'larger', 'values', 'of', 'the', 'axigluon', 'mass', 'than', 'the', 'dijet', 'mass', 'distribution']] | [-0.07464280931949238, 0.24689610299075768, -0.07947334969051283, 0.1603489306745925, -0.06065776150019185, -0.11196065744120828, 0.04124167119624798, 0.3113466360279032, -0.2003983184294083, -0.2921566599256334, -0.04244700621269215, -0.3448198494325216, 0.06324721356174229, 0.11798153048053987, 0.07675335749592853, 0.021883489139400882, 0.0564877386157703, -0.021069427241093, -0.04095626699760229, -0.19858119697498813, 0.2962274317868759, 0.03149671459608283, 0.2528793463747747, 0.17163353523466032, 0.06582051931528023, 0.03228154878849415, -0.03994296486544536, -0.04679749021935906, -0.07859832433894405, 0.0395912341578829, 0.18764973372320104, 0.02527687358953109, 0.10982947768580571, -0.31283928889378504, -0.05610177780948328, 0.16252698155900314, 0.17594743637066032, 0.14826771852126144, -0.11582685531263721, -0.28802175197523794, 0.1332922706953124, -0.2072789251453926, -0.09872897766055413, -0.02369791634752088, 0.005953571240014925, -0.07244063832016813, -0.36760285933426506, 0.13927663769081355, -0.05570661275320359, 0.019990981774360594, 0.052486617237681873, -0.2135009781230946, -0.15229090020324834, -0.02896262928167031, 0.11355360017969852, 0.09404416490468902, 0.21573588763311743, -0.17788690151492365, -0.1751607312864901, 0.3217966379471929, -0.11367635112794626, -0.1600128342145802, 0.1385959180676051, -0.24349501676152688, -0.17758798829242084, 0.11914617820592546, 0.2580395686798855, 0.10792465037446015, -0.20916295621695147, 0.07106075212367294, -0.06527964953597434, 0.16862766454751427, 0.08677378367015941, 0.09997354151454528, 0.2661768565382305, 0.21022778740656134, 0.057944891052446455, 0.05874756665749324, -0.13714231907962696, -0.0778053174097393, -0.42927615349873194, -0.08231477539457784, -0.08384451755272174, 0.050824707362177854, -0.09888333943878957, -0.03626057977561612, 0.405784823664313, 0.17887919641892752, 0.31308596389921933, -0.00981820690621798, 0.3290995034511906, 0.12827607854253714, 0.12111398091262861, 0.050925753551308774, 0.3467703579714195, 0.14521357754396425, 0.18077860057127434, -0.27102930492853644, 0.06856942056588564, 0.035639980373702744] |
709.1653 | Counterexamples to continuity of optimal transportation on positively
curved Riemannian manifolds | Counterexamples to continuity of optimal transportation on Riemannian
manifolds with everywhere positive sectional curvature are provided. These
examples show that the condition A3w of Ma, Trudinger, & Wang is not guaranteed
by positivity of sectional curvature.
| math.DG math.AP | counterexamples to continuity of optimal transportation on riemannian manifolds with everywhere positive sectional curvature are provided these examples show that the condition a3w of ma trudinger wang is not guaranteed by positivity of sectional curvature | [['counterexamples', 'to', 'continuity', 'of', 'optimal', 'transportation', 'on', 'riemannian', 'manifolds', 'with', 'everywhere', 'positive', 'sectional', 'curvature', 'are', 'provided', 'these', 'examples', 'show', 'that', 'the', 'condition', 'a3w', 'of', 'ma', 'trudinger', 'wang', 'is', 'not', 'guaranteed', 'by', 'positivity', 'of', 'sectional', 'curvature']] | [-0.20998165107199124, 0.06196792796254158, -0.027395715404834067, 0.11958418628533504, -0.14454835333994456, -0.2267685422141637, -0.05922480087195124, 0.3864563125584807, -0.216684760555758, -0.23625139242836407, 0.1935514172273023, -0.3030235373548099, -0.14606049824506045, 0.16101472254044244, -0.22574850198413646, 0.11826287340372801, 0.05427057304020439, 0.05251329046274934, -0.032521813781931995, -0.38310251448835647, 0.48097903462392944, -0.0013056634991828885, 0.2453377568828208, 0.2474264783784747, 0.1467133548642908, -0.13756823447100552, 0.014278658373015268, 0.03789278408512473, -0.2530108815402075, 0.12149493670357125, 0.1783781164225989, 0.12272292118785637, 0.24025293164221304, -0.36626205662531514, -0.24198070950806141, 0.16160061237003123, 0.0700684621439515, -0.07875208609870502, -0.07514646528621337, -0.338571596411722, 0.20142200445490224, 0.0346456915140152, -0.18164505598002245, -0.1454913694145424, -0.0005354088598064013, 0.046385702171495985, -0.25720409246693765, 0.08158732458416905, 0.16386995070746968, 0.089042630898101, -0.14049050617696984, -0.14990335681608746, -0.15009239343926312, 0.02221879932497229, 0.07363155012551163, 0.002254425677736955, 0.10150218957236835, -0.0001464578988296645, -0.0708770014611738, 0.22569026159388678, -0.08602572663554124, -0.3602986506585564, 0.06440876163542271, -0.11579234534874558, -0.08889774372801185, 0.13003914008981415, 0.09436543639749288, 0.15642723036663872, -0.07815019020012447, 0.16828205101191998, -0.06657221485594554, 0.057693102237369336, 0.2170955842227808, -0.06316826970183424, 0.021447206501449857, -0.043405694354857714, 0.3076071769730853, 0.034631194227508134, 0.1127627203839698, -0.08227119771763683, -0.4238458115075316, -0.250186006671616, -0.20787970207831158, 0.22639438907125234, -0.14302922093588027, -0.15840986860649928, 0.2951133031896981, -0.026682399812021425, 0.13757124309028898, 0.22235302025718348, 0.231352222604411, 0.01820771758045469, -0.003588352884565081, 0.17109856849004115, 0.26674206706562215, 0.27883714182701497, 0.14884870351691332, -0.08094106120988727, 0.027203355357050894, 0.1675792070105672] |
709.1654 | Localizing the Elliott Conjecture at Strongly Self-absorbing C*-algebras
--An Appendix | This note provides some technical support to the proof of a result of W.
Winter which shows that two unital separable simple amenable ${\cal
Z}$-absorbing C*-algebras with locally finite decomposition property satisfying
the UCT whose projections separate the traces are isomorphic if their
$K$-theory is finitely generated and their Elliott invariants are the same.
| math.OA | this note provides some technical support to the proof of a result of w winter which shows that two unital separable simple amenable cal zabsorbing calgebras with locally finite decomposition property satisfying the uct whose projections separate the traces are isomorphic if their ktheory is finitely generated and their elliott invariants are the same | [['this', 'note', 'provides', 'some', 'technical', 'support', 'to', 'the', 'proof', 'of', 'a', 'result', 'of', 'w', 'winter', 'which', 'shows', 'that', 'two', 'unital', 'separable', 'simple', 'amenable', 'cal', 'zabsorbing', 'calgebras', 'with', 'locally', 'finite', 'decomposition', 'property', 'satisfying', 'the', 'uct', 'whose', 'projections', 'separate', 'the', 'traces', 'are', 'isomorphic', 'if', 'their', 'ktheory', 'is', 'finitely', 'generated', 'and', 'their', 'elliott', 'invariants', 'are', 'the', 'same']] | [-0.14326255300289226, 0.17707485719411462, -0.13495497833247538, 0.042223356178039, -0.10149326666443678, -0.17561767404657547, -0.061098559274493404, 0.39504470989211565, -0.3713138476704006, -0.13385305276002596, 0.14506549371785862, -0.25399351579512264, -0.0913860881873579, 0.20121027996625612, -0.16166889482971142, -0.009321366091845211, 0.12298761205575257, 0.10866205101073892, -0.09296447232676049, -0.32042846808003056, 0.3709461194359594, -0.044580064369020636, 0.22817911585378978, 0.10990040533727517, 0.084755527109977, -0.01857420841783837, -0.09206229294822724, -0.010322333983990743, -0.10083946498195508, 0.11343070950911001, 0.3183477410391249, 0.13949756041876282, 0.23539700321378876, -0.3394747806230077, -0.05444679094512982, 0.21673944833067557, 0.06118128588423133, -0.021368588607637556, -0.05160451308755135, -0.2797345667042666, 0.15558459152709003, -0.24354502796712849, -0.08527723898576503, -0.1131921734108969, 0.04916633705229119, -0.030624019533947663, -0.24811719720148379, 0.005288842996513402, 0.19598111706889337, 0.09699735140289974, -0.06039781680468608, -0.07205098507822388, -0.10896290145400497, 0.09240600716805568, -0.043880078687194596, 0.011206372791935724, 0.12194920040632563, 0.024454833909489767, -0.12716359834195357, 0.3765846096255161, 0.004287595050064502, -0.20767264592426796, 0.21547828863926785, -0.16825871818043567, -0.18484569078794233, 0.12757950032526558, -0.007450791481123479, 0.1389546429531442, -0.047898178488981945, 0.21050127938764895, -0.15653535105391508, 0.0563286467394964, 0.036057592231642316, 0.07013623899978551, 0.0744332376246651, 0.010604173471047371, 0.10652752319799254, 0.14421430975198746, 0.13935489155766037, -0.0071745168555665895, -0.362777232416664, -0.13464789991094558, -0.13168734529366097, 0.1434280070890155, -0.06895563284908551, -0.21535402432911926, 0.4037742534721339, 0.054882078474663476, 0.1647919007163081, 0.15909060884344703, 0.26702355965971947, 0.06546753804044177, 0.03537910571321845, 0.0929736210360985, 0.13202151781458976, 0.2703843501361984, -0.04582440104611494, -0.13225446318069267, 0.020984785683039162, 0.19690448040556577] |
709.1655 | Network structure and dynamics of hydrogenated amorphous silicon | In this paper we discuss the application of current it ab initio computer
simulation techniques to hydrogenated amorphous silicon (a-Si:H). We begin by
discussing thermal fluctuation in the number of coordination defects in the
material, and its temperature dependence. We connect this to the ``fluctuating
bond center detachment" mechanism for liberating H bonded to Si atoms. Next,
from extended thermal MD simulation, we illustrate various mechanisms of H
motion. The dynamics of the lattice is then linked to the electrons, and we
point out that the squared electron-lattice coupling (and the thermally-induced
mean square variation in electron energy eigenvalues) is robustly proportional
to the localization of the conjugate state, if localization is measured with
inverse participation ratio. Finally we discuss the Staebler-Wronski effect
using these methods, and argue that a sophisticated local heating picture
(based upon reasonable calculations of the electron-lattice coupling and
molecular dynamic simulation) explains significant aspects of the phenomenon.
| cond-mat.mtrl-sci | in this paper we discuss the application of current it ab initio computer simulation techniques to hydrogenated amorphous silicon asih we begin by discussing thermal fluctuation in the number of coordination defects in the material and its temperature dependence we connect this to the fluctuating bond center detachment mechanism for liberating h bonded to si atoms next from extended thermal md simulation we illustrate various mechanisms of h motion the dynamics of the lattice is then linked to the electrons and we point out that the squared electronlattice coupling and the thermallyinduced mean square variation in electron energy eigenvalues is robustly proportional to the localization of the conjugate state if localization is measured with inverse participation ratio finally we discuss the staeblerwronski effect using these methods and argue that a sophisticated local heating picture based upon reasonable calculations of the electronlattice coupling and molecular dynamic simulation explains significant aspects of the phenomenon | [['in', 'this', 'paper', 'we', 'discuss', 'the', 'application', 'of', 'current', 'it', 'ab', 'initio', 'computer', 'simulation', 'techniques', 'to', 'hydrogenated', 'amorphous', 'silicon', 'asih', 'we', 'begin', 'by', 'discussing', 'thermal', 'fluctuation', 'in', 'the', 'number', 'of', 'coordination', 'defects', 'in', 'the', 'material', 'and', 'its', 'temperature', 'dependence', 'we', 'connect', 'this', 'to', 'the', 'fluctuating', 'bond', 'center', 'detachment', 'mechanism', 'for', 'liberating', 'h', 'bonded', 'to', 'si', 'atoms', 'next', 'from', 'extended', 'thermal', 'md', 'simulation', 'we', 'illustrate', 'various', 'mechanisms', 'of', 'h', 'motion', 'the', 'dynamics', 'of', 'the', 'lattice', 'is', 'then', 'linked', 'to', 'the', 'electrons', 'and', 'we', 'point', 'out', 'that', 'the', 'squared', 'electronlattice', 'coupling', 'and', 'the', 'thermallyinduced', 'mean', 'square', 'variation', 'in', 'electron', 'energy', 'eigenvalues', 'is', 'robustly', 'proportional', 'to', 'the', 'localization', 'of', 'the', 'conjugate', 'state', 'if', 'localization', 'is', 'measured', 'with', 'inverse', 'participation', 'ratio', 'finally', 'we', 'discuss', 'the', 'staeblerwronski', 'effect', 'using', 'these', 'methods', 'and', 'argue', 'that', 'a', 'sophisticated', 'local', 'heating', 'picture', 'based', 'upon', 'reasonable', 'calculations', 'of', 'the', 'electronlattice', 'coupling', 'and', 'molecular', 'dynamic', 'simulation', 'explains', 'significant', 'aspects', 'of', 'the', 'phenomenon']] | [-0.10215871373580548, 0.15594558751878426, -0.04982761344811144, 0.049084688641749766, -0.004021725654111881, -0.1004165233186397, 0.07062368644600563, 0.41430822409395324, -0.3152931891967647, -0.2811744339016609, 0.03463566663834315, -0.3088344272569214, -0.1667021464672871, 0.1313920887845789, 0.013771816329129874, 0.015572723686330536, 0.035454996907470844, -0.035729867256074944, -0.06367634541943278, -0.1988664478841728, 0.27025778073278306, 0.12219173113120824, 0.29233802056650776, 0.13606768855396167, 0.05611768901642216, 0.010066072121078736, 0.0046908469444851535, 0.03353183970504783, -0.18718966100976486, 0.10597363671925115, 0.19827747963044154, 0.006259642038984518, 0.23480097507739342, -0.48099650865371685, -0.1972034549827712, 0.06224825815910375, 0.1226607815586153, 0.13646254833101443, -0.05006188994019268, -0.22223040557123327, 0.042206685778709424, -0.17061831126308166, -0.12702701394798505, -0.04859825784775527, 0.01791794094759481, 0.030544547115967265, -0.23595683355080455, 0.09144657477813062, 0.021609681810093064, 0.057544353000211185, -0.09085162607171744, -0.10177431824635469, -0.04089644001750888, 0.07433978583063244, 0.040515796779226024, -0.015166040791786815, 0.23263922796008715, -0.09721468631974667, -0.10822394248986568, 0.38375475831133754, -0.051956963250919024, -0.1314080054552936, 0.19769586108343087, -0.14409696326995464, -0.09840356596089948, 0.14388336043032868, 0.11993871260998085, 0.07202001959070146, -0.13373693882022053, 0.06604729727711713, 0.007424413701396827, 0.16085097272547214, 0.012322425376623869, 0.02121580122528892, 0.1953986112141712, 0.19264363304108356, 0.028147026613097342, 0.14226438353178214, -0.1271952578145398, -0.12091960213269647, -0.27235943238299926, -0.15928208074872505, -0.20731992707021019, 0.0696587538083182, -0.08185061819092784, -0.13825954216582959, 0.3802459010315177, 0.2029503298108466, 0.15045898897254742, -0.013096199465891053, 0.2721214981314628, 0.10319882693798527, 0.04603395955928136, 0.03554953640559688, 0.2647700373697597, 0.16109532360630846, 0.0869064546177948, -0.32841868308069505, 0.04621121599427026, 0.03611826252668643] |
709.1656 | Detection of a Third Planet in the HD 74156 System Using the
Hobby-Eberly Telescope | We report the discovery of a third planetary mass companion to the G0 star HD
74156. High precision radial velocity measurements made with the Hobby-Eberly
Telescope aided the detection of this object. The best fit triple Keplerian
model to all the available velocity data yields an orbital period of 347 days
and minimum mass of 0.4 M_Jup for the new planet. We determine revised orbital
periods of 51.7 and 2477 days, and minimum masses of 1.9 and 8.0 M_Jup
respectively for the previously known planets. Preliminary calculations
indicate that the derived orbits are stable, although all three planets have
significant orbital eccentricities (e = 0.64, 0.43, and 0.25). With our
detection, HD 74156 becomes the eighth normal star known to host three or more
planets. Further study of this system's dynamical characteristics will likely
give important insight to planet formation and evolutionary processes.
| astro-ph | we report the discovery of a third planetary mass companion to the g0 star hd 74156 high precision radial velocity measurements made with the hobbyeberly telescope aided the detection of this object the best fit triple keplerian model to all the available velocity data yields an orbital period of 347 days and minimum mass of 04 m_jup for the new planet we determine revised orbital periods of 517 and 2477 days and minimum masses of 19 and 80 m_jup respectively for the previously known planets preliminary calculations indicate that the derived orbits are stable although all three planets have significant orbital eccentricities e 064 043 and 025 with our detection hd 74156 becomes the eighth normal star known to host three or more planets further study of this systems dynamical characteristics will likely give important insight to planet formation and evolutionary processes | [['we', 'report', 'the', 'discovery', 'of', 'a', 'third', 'planetary', 'mass', 'companion', 'to', 'the', 'g0', 'star', 'hd', '74156', 'high', 'precision', 'radial', 'velocity', 'measurements', 'made', 'with', 'the', 'hobbyeberly', 'telescope', 'aided', 'the', 'detection', 'of', 'this', 'object', 'the', 'best', 'fit', 'triple', 'keplerian', 'model', 'to', 'all', 'the', 'available', 'velocity', 'data', 'yields', 'an', 'orbital', 'period', 'of', '347', 'days', 'and', 'minimum', 'mass', 'of', '04', 'm_jup', 'for', 'the', 'new', 'planet', 'we', 'determine', 'revised', 'orbital', 'periods', 'of', '517', 'and', '2477', 'days', 'and', 'minimum', 'masses', 'of', '19', 'and', '80', 'm_jup', 'respectively', 'for', 'the', 'previously', 'known', 'planets', 'preliminary', 'calculations', 'indicate', 'that', 'the', 'derived', 'orbits', 'are', 'stable', 'although', 'all', 'three', 'planets', 'have', 'significant', 'orbital', 'eccentricities', 'e', '064', '043', 'and', '025', 'with', 'our', 'detection', 'hd', '74156', 'becomes', 'the', 'eighth', 'normal', 'star', 'known', 'to', 'host', 'three', 'or', 'more', 'planets', 'further', 'study', 'of', 'this', 'systems', 'dynamical', 'characteristics', 'will', 'likely', 'give', 'important', 'insight', 'to', 'planet', 'formation', 'and', 'evolutionary', 'processes']] | [-0.17217243651934885, 0.11912310736109978, -0.06161001970676679, 0.03461612260516759, -0.12186306031194555, -0.11273966503450909, 0.09955730860639678, 0.32903573011100606, -0.13269292514994216, -0.40275813090864204, 0.09037893038393903, -0.27569290463879054, -0.05689094891332247, 0.21019955881392505, -0.08462957546613376, 0.04607242772939392, 0.1889218705703019, -0.01723751180041188, -0.06889147147319843, -0.29462682255084666, 0.22477934606911115, 0.05884449730928935, 0.05156243090767046, 0.005717430831077443, 0.04657030501320932, -0.05386211773918443, -0.04244330310706266, -0.13225679647203692, -0.2559600401078748, 0.040018848307483215, 0.206746361698811, 0.11831013389049806, 0.17348228011962394, -0.2765024098457808, -0.1560576934085398, 0.04104890484972791, 0.16134441986312748, 0.005884203244931996, -0.03652588578982649, -0.2618169794711743, 0.11838707333745462, -0.23891218454563912, -0.1956131392237271, 0.015475564964220558, 0.14711877030097473, -0.021453388892835608, -0.26996353992611877, 0.13575202390768001, 0.04535073985925279, 0.15143314256404755, -0.19933993993064678, -0.23231327226287096, -0.10889701086381764, 0.07344094984082532, 0.003266499173650387, 0.06634221623264726, 0.1155049192239973, -0.03280922598336679, -0.0605431792234451, 0.42296500167560197, -0.08906100824734353, -0.0013071626644502853, 0.2579744573548095, -0.22594457500758516, -0.1544295575036864, 0.15770493079186745, 0.18026468961853798, 0.1422176469956905, -0.18870164048169333, -0.08206879278410449, 0.0069636857482640755, 0.23882741816866565, 0.06716470595147513, 0.04656784693238286, 0.3771705023819764, 0.1347549309229321, 0.04871489654268912, 0.0004241568410218182, -0.2715663050635862, -0.058354957885122, -0.14449577698562766, -0.123944112689982, -0.10904649897432611, 0.04258108758990666, -0.1296576185631123, -0.08222888769831141, 0.34966343361556423, 0.142807102878578, 0.19721755855323247, 0.05070396955125034, 0.2777134609329973, 0.07902256542370772, 0.07645970299927285, 0.10250108666114614, 0.3670951918908723, 0.1656529187801963, 0.08032455097910174, -0.24815178299847412, 0.05082872292866379, -0.03165641524599419] |
709.1657 | Time-evolution of ionization and heating around first stars and
miniquasars | A one dimensional radiative transfer code is developed to track the
ionization and heating pattern around the first miniquasars and Population III
stars. The code follows the evolution of the ionization of the species of
hydrogen and helium and the intergalactic medium temperature profiles as a
function of redshift. The radiative transfer calculations show that the
ionization signature of the first miniquasars and stars is very similar yet the
heating pattern around the two is very different. Furthermore, the first
massive miniquasars (~>10^5 M_{sun}) do produce large ionized bubbles around
them, which can potentially be imaged directly using future radio telescopes.
It is also shown that the ionized bubbles not only stay ionized for
considerable time after the switching off of the source, but continue to expand
for a short while due to secondary collisions prompted by the X-ray part of
their spectra. Varying spectral shapes also produced sizable variations in
ionized fraction and temperature profile. We also compare the radiative
transfer results with the analytical approximation usually adopted for heating
by miniquasars and find that, because of the inadequate treatment of the He
species, the analytical approach leads to an underestimation of the temperature
in the outer radii by a factor ~5. Population III stars - with masses in the
range of 10 - 1000 M_{sun} and modelled as blackbodies at a temperature of
50000 K - are found to be efficient in ionizing their surroundings.
Observational effects on the 21 cm brightness temperature, the thermal and
kinetic Sunyaev-Ze'ldovich effects, are also studied in the context of the
upcoming radio and microwave telescopes like LOFAR and SPT.
| astro-ph | a one dimensional radiative transfer code is developed to track the ionization and heating pattern around the first miniquasars and population iii stars the code follows the evolution of the ionization of the species of hydrogen and helium and the intergalactic medium temperature profiles as a function of redshift the radiative transfer calculations show that the ionization signature of the first miniquasars and stars is very similar yet the heating pattern around the two is very different furthermore the first massive miniquasars 105 m_sun do produce large ionized bubbles around them which can potentially be imaged directly using future radio telescopes it is also shown that the ionized bubbles not only stay ionized for considerable time after the switching off of the source but continue to expand for a short while due to secondary collisions prompted by the xray part of their spectra varying spectral shapes also produced sizable variations in ionized fraction and temperature profile we also compare the radiative transfer results with the analytical approximation usually adopted for heating by miniquasars and find that because of the inadequate treatment of the he species the analytical approach leads to an underestimation of the temperature in the outer radii by a factor 5 population iii stars with masses in the range of 10 1000 m_sun and modelled as blackbodies at a temperature of 50000 k are found to be efficient in ionizing their surroundings observational effects on the 21 cm brightness temperature the thermal and kinetic sunyaevzeldovich effects are also studied in the context of the upcoming radio and microwave telescopes like lofar and spt | [['a', 'one', 'dimensional', 'radiative', 'transfer', 'code', 'is', 'developed', 'to', 'track', 'the', 'ionization', 'and', 'heating', 'pattern', 'around', 'the', 'first', 'miniquasars', 'and', 'population', 'iii', 'stars', 'the', 'code', 'follows', 'the', 'evolution', 'of', 'the', 'ionization', 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709.1658 | New path description for the M(k+1,2k+3) models and the dual Z_k graded
parafermions | We present a new path description for the states of the non-unitary
M(k+1,2k+3) models. This description differs from the one induced by the
Forrester-Baxter solution, in terms of configuration sums, of their
restricted-solid-on-solid model. The proposed path representation is actually
very similar to the one underlying the unitary minimal models M(k+1,k+2), with
an analogous Fermi-gas interpretation. This interpretation leads to fermionic
expressions for the finitized M(k+1,2k+3) characters, whose infinite-length
limit represent new fermionic characters for the irreducible modules. The
M(k+1,2k+3) models are also shown to be related to the Z_k graded parafermions
via a (q to 1/q) duality transformation.
| hep-th cond-mat.stat-mech math-ph math.CO math.MP | we present a new path description for the states of the nonunitary mk12k3 models this description differs from the one induced by the forresterbaxter solution in terms of configuration sums of their restrictedsolidonsolid model the proposed path representation is actually very similar to the one underlying the unitary minimal models mk1k2 with an analogous fermigas interpretation this interpretation leads to fermionic expressions for the finitized mk12k3 characters whose infinitelength limit represent new fermionic characters for the irreducible modules the mk12k3 models are also shown to be related to the z_k graded parafermions via a q to 1q duality transformation | [['we', 'present', 'a', 'new', 'path', 'description', 'for', 'the', 'states', 'of', 'the', 'nonunitary', 'mk12k3', 'models', 'this', 'description', 'differs', 'from', 'the', 'one', 'induced', 'by', 'the', 'forresterbaxter', 'solution', 'in', 'terms', 'of', 'configuration', 'sums', 'of', 'their', 'restrictedsolidonsolid', 'model', 'the', 'proposed', 'path', 'representation', 'is', 'actually', 'very', 'similar', 'to', 'the', 'one', 'underlying', 'the', 'unitary', 'minimal', 'models', 'mk1k2', 'with', 'an', 'analogous', 'fermigas', 'interpretation', 'this', 'interpretation', 'leads', 'to', 'fermionic', 'expressions', 'for', 'the', 'finitized', 'mk12k3', 'characters', 'whose', 'infinitelength', 'limit', 'represent', 'new', 'fermionic', 'characters', 'for', 'the', 'irreducible', 'modules', 'the', 'mk12k3', 'models', 'are', 'also', 'shown', 'to', 'be', 'related', 'to', 'the', 'z_k', 'graded', 'parafermions', 'via', 'a', 'q', 'to', '1q', 'duality', 'transformation']] | [-0.11773242526146761, 0.13718449565416763, -0.09937535556835225, 0.0703011744907314, -0.06407792072253998, -0.14821459210919913, 0.00553015821538113, 0.3000051053570151, -0.28837242925238576, -0.22274328901601786, 0.03810376688165383, -0.2513053554552372, -0.17084783287436672, 0.16245488500495375, -0.07392137824567128, 0.008392972881068486, 0.04401191569055722, 0.09187109724176351, -0.10371413873038207, -0.2160803891795998, 0.3008572380387723, 0.02965396802609015, 0.26756059361922774, -0.007868985918284667, 0.09288440991870382, 0.037281527884793705, 0.009416224924151343, -0.07101834038592349, -0.13432510051349497, 0.1608053565541555, 0.26661866540679413, 0.04777840683895229, 0.11894600095510756, -0.40167278930018047, -0.15825178011348753, 0.14950609885419558, 0.14157064740118017, 0.1167696893516213, 0.020887156158234135, -0.2838565245872796, 0.049766596646584345, -0.22294642795065436, -0.1608563253533735, -0.09721355749802156, 0.013591290317532239, -0.04115529063468178, -0.251150356243468, 0.03147143535203544, 0.095837542401495, 0.017933506405714787, -0.09205485590512516, -0.11970390421761708, -0.01323775565157635, 0.08611500552488548, 0.012784626314915115, 0.018826529219031635, 0.047224354704446865, -0.19070213585809775, -0.15049447749525008, 0.37303409964373013, -0.04380906372909632, -0.2612173039503772, 0.1884928626205885, -0.10831850282306961, -0.1282574177315139, 0.1251300781720666, 0.06253744782809394, 0.11546340966691272, -0.1342702131304476, 0.1312513465786146, -0.1064704330638051, 0.07164561735334421, 0.05410103837493807, 0.04404311842106358, 0.221207249699886, 0.08865288693006292, 0.004890692537895056, 0.16526521188136417, 0.01735868686904209, -0.11809588543543911, -0.34521937283753146, -0.18054265466829142, -0.1436538610588571, 0.07722604820843447, -0.09895802810882227, -0.17985471599644776, 0.4154251696861754, 0.1357936237684705, 0.21909074438265477, 0.09766839233913807, 0.20194510155536158, 0.16171194624974194, 0.09482247909446331, 0.020439579311494874, 0.1325924963398714, 0.18041901022308704, -0.014383293690649097, -0.20098358391539542, 0.006180627744249774, 0.17938766486644675] |
709.1659 | On the localized phase of a copolymer in an emulsion: supercritical
percolation regime | In this paper we study a two-dimensional directed self-avoiding walk model of
a random copolymer in a random emulsion. The copolymer is a random
concatenation of monomers of two types, $A$ and $B$, each occurring with
density 1/2. The emulsion is a random mixture of liquids of two types, $A$ and
$B$, organised in large square blocks occurring with density $p$ and $1-p$,
respectively, where $p \in (0,1)$. The copolymer in the emulsion has an energy
that is minus $\alpha$ times the number of $AA$-matches minus $\beta$ times the
number of $BB$-matches, where without loss of generality the interaction
parameters can be taken from the cone $\{(\alpha,\beta)\in\R^2\colon \alpha\geq
|\beta|\}$. To make the model mathematically tractable, we assume that the
copolymer is directed and can only enter and exit a pair of neighbouring blocks
at diagonally opposite corners.
In \cite{dHW06}, it was found that in the supercritical percolation regime $p
\geq p_c$, with $p_c$ the critical probability for directed bond percolation on
the square lattice, the free energy has a phase transition along a curve in the
cone that is independent of $p$. At this critical curve, there is a transition
from a phase where the copolymer is fully delocalized into the $A$-blocks to a
phase where it is partially localized near the $AB$-interface. In the present
paper we prove three theorems that complete the analysis of the phase diagram :
(1) the critical curve is strictly increasing; (2) the phase transition is
second order; (3) the free energy is infinitely differentiable throughout the
partially localized phase.
| math.PR | in this paper we study a twodimensional directed selfavoiding walk model of a random copolymer in a random emulsion the copolymer is a random concatenation of monomers of two types a and b each occurring with density 12 the emulsion is a random mixture of liquids of two types a and b organised in large square blocks occurring with density p and 1p respectively where p in 01 the copolymer in the emulsion has an energy that is minus alpha times the number of aamatches minus beta times the number of bbmatches where without loss of generality the interaction parameters can be taken from the cone alphabetainr2colon alphageq beta to make the model mathematically tractable we assume that the copolymer is directed and can only enter and exit a pair of neighbouring blocks at diagonally opposite corners in citedhw06 it was found that in the supercritical percolation regime p geq p_c with p_c the critical probability for directed bond percolation on the square lattice the free energy has a phase transition along a curve in the cone that is independent of p at this critical curve there is a transition from a phase where the copolymer is fully delocalized into the ablocks to a phase where it is partially localized near the abinterface in the present paper we prove three theorems that complete the analysis of the phase diagram 1 the critical curve is strictly increasing 2 the phase transition is second order 3 the free energy is infinitely differentiable throughout the partially localized phase | [['in', 'this', 'paper', 'we', 'study', 'a', 'twodimensional', 'directed', 'selfavoiding', 'walk', 'model', 'of', 'a', 'random', 'copolymer', 'in', 'a', 'random', 'emulsion', 'the', 'copolymer', 'is', 'a', 'random', 'concatenation', 'of', 'monomers', 'of', 'two', 'types', 'a', 'and', 'b', 'each', 'occurring', 'with', 'density', '12', 'the', 'emulsion', 'is', 'a', 'random', 'mixture', 'of', 'liquids', 'of', 'two', 'types', 'a', 'and', 'b', 'organised', 'in', 'large', 'square', 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709.166 | Partial Gr\"obner bases for multiobjective integer linear optimization | In this paper we present a new methodology for solving multiobjective integer
linear programs using tools from algebraic geometry. We introduce the concept
of partial Gr\"obner basis for a family of multiobjective programs where the
right-hand side varies. This new structure extends the notion of Gr\"obner
basis for the single objective case, to the case of multiple objectives, i.e.,
a partial ordering instead of a total ordering over the feasible vectors. The
main property of these bases is that the partial reduction of the integer
elements in the kernel of the constraint matrix by the different blocks of the
basis is zero. It allows us to prove that this new construction is a test
family for a family of multiobjective programs. An algorithm '\`a la
Buchberger' is developed to compute partial Gr\"obner bases and two different
approaches are derived, using this methodology, for computing the entire set of
efficient solutions of any multiobjective integer linear problem (MOILP). Some
examples illustrate the application of the algorithms and computational
experiments are reported on several families of problems.
| math.OC math.AG | in this paper we present a new methodology for solving multiobjective integer linear programs using tools from algebraic geometry we introduce the concept of partial grobner basis for a family of multiobjective programs where the righthand side varies this new structure extends the notion of grobner basis for the single objective case to the case of multiple objectives ie a partial ordering instead of a total ordering over the feasible vectors the main property of these bases is that the partial reduction of the integer elements in the kernel of the constraint matrix by the different blocks of the basis is zero it allows us to prove that this new construction is a test family for a family of multiobjective programs an algorithm a la buchberger is developed to compute partial grobner bases and two different approaches are derived using this methodology for computing the entire set of efficient solutions of any multiobjective integer linear problem moilp some examples illustrate the application of the algorithms and computational experiments are reported on several families of problems | [['in', 'this', 'paper', 'we', 'present', 'a', 'new', 'methodology', 'for', 'solving', 'multiobjective', 'integer', 'linear', 'programs', 'using', 'tools', 'from', 'algebraic', 'geometry', 'we', 'introduce', 'the', 'concept', 'of', 'partial', 'grobner', 'basis', 'for', 'a', 'family', 'of', 'multiobjective', 'programs', 'where', 'the', 'righthand', 'side', 'varies', 'this', 'new', 'structure', 'extends', 'the', 'notion', 'of', 'grobner', 'basis', 'for', 'the', 'single', 'objective', 'case', 'to', 'the', 'case', 'of', 'multiple', 'objectives', 'ie', 'a', 'partial', 'ordering', 'instead', 'of', 'a', 'total', 'ordering', 'over', 'the', 'feasible', 'vectors', 'the', 'main', 'property', 'of', 'these', 'bases', 'is', 'that', 'the', 'partial', 'reduction', 'of', 'the', 'integer', 'elements', 'in', 'the', 'kernel', 'of', 'the', 'constraint', 'matrix', 'by', 'the', 'different', 'blocks', 'of', 'the', 'basis', 'is', 'zero', 'it', 'allows', 'us', 'to', 'prove', 'that', 'this', 'new', 'construction', 'is', 'a', 'test', 'family', 'for', 'a', 'family', 'of', 'multiobjective', 'programs', 'an', 'algorithm', 'a', 'la', 'buchberger', 'is', 'developed', 'to', 'compute', 'partial', 'grobner', 'bases', 'and', 'two', 'different', 'approaches', 'are', 'derived', 'using', 'this', 'methodology', 'for', 'computing', 'the', 'entire', 'set', 'of', 'efficient', 'solutions', 'of', 'any', 'multiobjective', 'integer', 'linear', 'problem', 'moilp', 'some', 'examples', 'illustrate', 'the', 'application', 'of', 'the', 'algorithms', 'and', 'computational', 'experiments', 'are', 'reported', 'on', 'several', 'families', 'of', 'problems']] | [-0.14461680494206047, 0.007206420168690731, -0.0740222481183772, 0.0530297543636748, -0.12423386474289856, -0.10660727984230463, 0.0379264971392561, 0.3134675414044538, -0.35321352187672567, -0.2722545010733536, 0.1261297283632595, -0.24317783907454946, -0.1761714518605464, 0.2090913939184937, -0.045084814144293085, 0.10412342872085242, 0.054706787673124896, -0.01001944485516555, -0.10606751381151977, -0.2769151598338209, 0.3614753781571642, 0.00469515487637328, 0.24635194735494495, -0.008662618594993463, 0.13741381412262269, 0.016287976161352004, -0.020537016222831505, 0.04175522050488441, -0.12441752224147987, 0.1925727504783246, 0.3046940826602152, 0.22989014900241303, 0.32545615907292813, -0.39332769057531464, -0.13247780403073464, 0.10769249243667113, 0.09866401025939775, 0.13057738788634668, -0.031082699729006565, -0.1905974123209458, 0.0953972782784452, -0.1580853391965268, -0.1144713922069226, -0.07885404843127826, -0.007001280720377791, 0.007449970786705956, -0.32110591260508914, -0.033366214582996295, 0.06882531009748279, 0.07580396836495092, -0.05456005555514685, -0.19111292296418406, 0.02758429932472264, 0.04969483009143465, -0.015003796661508152, 0.008225234525128343, 0.05004413280336336, -0.056903839651923416, -0.1882947635410043, 0.3486674026905254, -0.020223053300019955, -0.2527789375022182, 0.15339961070861752, -0.07894454830882792, -0.1636855925898999, 0.13172160171978603, 0.19334382469359057, 0.18661344729513787, -0.1444069148719059, 0.12418303831049574, -0.10432618598710618, 0.14346123298351793, 0.056047543753527274, 0.006572248637622714, 0.14528401740478758, 0.15050989005115184, 0.11806932326416945, 0.17367326247976858, -0.007920541718934032, -0.09733755563268032, -0.3020444497517604, -0.2083979064450484, -0.1644977257030363, -0.006123552149718349, -0.09503002801087776, -0.1989777335982727, 0.43122599719242116, 0.13742438239452226, 0.15814861113034273, 0.10506231494611878, 0.2783205394429722, 0.12019058968010425, 0.044223429699396265, 0.03884687475945758, 0.14854261243194689, 0.11918913179756967, 0.05078057683509207, -0.19899423657408005, 0.06293752782505765, 0.12822353966459205] |
709.1661 | Bulk dominated fermion emission on a Schwarzschild background | Using the WKBJ approximation, and the Unruh method, we obtain semi-analytic
expressions for the absorption probability (in all energy regimes) for Dirac
fermions on a higher dimensional Schwarzschild background. We present an
analytic expression relating the absorption probability to the absorption
cross-section, and then use these results to plot the emission rates to third
order in the WKBJ approximation. The set-up we use is sufficiently general such
that it could also easily be applied to any spherically symmetric background in
$d$-dimensions. Our results lead to the interesting conclusion that for $d>5$
bulk fermion emission dominates brane localised emission. This is an example
contrary to the conjecture that black holes radiate mainly on the brane.
| hep-th | using the wkbj approximation and the unruh method we obtain semianalytic expressions for the absorption probability in all energy regimes for dirac fermions on a higher dimensional schwarzschild background we present an analytic expression relating the absorption probability to the absorption crosssection and then use these results to plot the emission rates to third order in the wkbj approximation the setup we use is sufficiently general such that it could also easily be applied to any spherically symmetric background in ddimensions our results lead to the interesting conclusion that for d5 bulk fermion emission dominates brane localised emission this is an example contrary to the conjecture that black holes radiate mainly on the brane | [['using', 'the', 'wkbj', 'approximation', 'and', 'the', 'unruh', 'method', 'we', 'obtain', 'semianalytic', 'expressions', 'for', 'the', 'absorption', 'probability', 'in', 'all', 'energy', 'regimes', 'for', 'dirac', 'fermions', 'on', 'a', 'higher', 'dimensional', 'schwarzschild', 'background', 'we', 'present', 'an', 'analytic', 'expression', 'relating', 'the', 'absorption', 'probability', 'to', 'the', 'absorption', 'crosssection', 'and', 'then', 'use', 'these', 'results', 'to', 'plot', 'the', 'emission', 'rates', 'to', 'third', 'order', 'in', 'the', 'wkbj', 'approximation', 'the', 'setup', 'we', 'use', 'is', 'sufficiently', 'general', 'such', 'that', 'it', 'could', 'also', 'easily', 'be', 'applied', 'to', 'any', 'spherically', 'symmetric', 'background', 'in', 'ddimensions', 'our', 'results', 'lead', 'to', 'the', 'interesting', 'conclusion', 'that', 'for', 'd5', 'bulk', 'fermion', 'emission', 'dominates', 'brane', 'localised', 'emission', 'this', 'is', 'an', 'example', 'contrary', 'to', 'the', 'conjecture', 'that', 'black', 'holes', 'radiate', 'mainly', 'on', 'the', 'brane']] | [-0.061038785885198434, 0.0784359432804386, -0.0848253813588567, 0.13431035309086406, -0.08112653517450222, -0.13126155453439997, 0.014129676947496799, 0.37421174406221036, -0.14887601115920565, -0.23755583228347332, 0.05140374362235889, -0.3005124356969374, -0.11992054735514614, 0.19841903341901407, -0.02016523102167667, 0.003519254928585469, -0.012814012259089699, 0.0072318136399987624, -0.050807071214525455, -0.24082004825846015, 0.34691274543537903, 0.07183799127182156, 0.2789898920934974, 0.08322374551687717, 0.038697722470061036, -0.02182954857779438, 0.039466880625440626, 0.020538171892168753, -0.16596423259729737, 0.09482173047338922, 0.23750393899574287, 0.07970297754039629, 0.13248043142978036, -0.4006306986536896, -0.2113952145670753, 0.08882110283236232, 0.1777083839600285, 0.19815653243118472, -0.09239551051021472, -0.26880632757756595, 0.06591540113042452, -0.2002254293194008, -0.18019036537346741, -0.06556788569708404, 0.009264376774234208, -0.06463616639539077, -0.27483008993103314, 0.0927446889913163, 0.04632727934247732, -0.06710074295436866, -0.11000068090741702, -0.055870119023765846, -0.02200476573004077, 0.07568638930260613, 0.10057803388407226, 0.013207416671017805, 0.1363941152261472, -0.09342164367626538, -0.09690787272707543, 0.3652089576955819, -0.12869176488439144, -0.21959926063815752, 0.1864258018158899, -0.21086153955803366, -0.11205854248092101, 0.17745363072639234, 0.1438775612694914, 0.1722228143521454, -0.13638147623523286, 0.10267867191935677, -0.0354469611621952, 0.16023175032266104, 0.12010016930371262, 0.025642872921276937, 0.24522742039622053, 0.06535947134947045, 0.03139686808316854, 0.1387302022980804, -0.1102088285087232, -0.06557050642936303, -0.337533714429459, -0.13668546040354526, -0.1657777907083775, 0.10133740094514858, -0.13271929931049767, -0.17144473574304006, 0.34104347266379353, 0.17905657828464827, 0.16361918037332462, 0.05483903795513406, 0.3049021660910448, 0.17509315084572064, 0.011217154930100628, 0.09871531874268201, 0.2902666513507843, 0.1272860083304215, 0.09021042669682126, -0.22381386580762633, -0.03429333150607387, 0.08342551309492831] |
709.1662 | Teleportation of qubit states through dissipative channels: Conditions
for surpassing the no-cloning limit | We investigate quantum teleportation through dissipative channels and
calculate teleportation fidelity as a function of damping rates. It is found
that the average fidelity of teleportation and the range of states to be
teleported depend on the type and rate of the damping in the channel. Using the
fully entangled fraction, we derive two bounds on the damping rates of the
channels: one is to beat the classical limit and the second is to guarantee the
non-existence of any other copy with better fidelity. Effect of the initially
distributed maximally entangled state on the process is presented; and the
concurrence and the fully entangled fraction of the shared states are
discussed. We intend to show that prior information on the dissipative channel
and the range of qubit states to be teleported is helpful for the evaluation of
the success of teleportation, where success is defined as surpassing the
fidelity limit imposed by the fidelity of 1-to-2 optimal cloning machine for
the specific range of qubits.
| quant-ph | we investigate quantum teleportation through dissipative channels and calculate teleportation fidelity as a function of damping rates it is found that the average fidelity of teleportation and the range of states to be teleported depend on the type and rate of the damping in the channel using the fully entangled fraction we derive two bounds on the damping rates of the channels one is to beat the classical limit and the second is to guarantee the nonexistence of any other copy with better fidelity effect of the initially distributed maximally entangled state on the process is presented and the concurrence and the fully entangled fraction of the shared states are discussed we intend to show that prior information on the dissipative channel and the range of qubit states to be teleported is helpful for the evaluation of the success of teleportation where success is defined as surpassing the fidelity limit imposed by the fidelity of 1to2 optimal cloning machine for the specific range of qubits | [['we', 'investigate', 'quantum', 'teleportation', 'through', 'dissipative', 'channels', 'and', 'calculate', 'teleportation', 'fidelity', 'as', 'a', 'function', 'of', 'damping', 'rates', 'it', 'is', 'found', 'that', 'the', 'average', 'fidelity', 'of', 'teleportation', 'and', 'the', 'range', 'of', 'states', 'to', 'be', 'teleported', 'depend', 'on', 'the', 'type', 'and', 'rate', 'of', 'the', 'damping', 'in', 'the', 'channel', 'using', 'the', 'fully', 'entangled', 'fraction', 'we', 'derive', 'two', 'bounds', 'on', 'the', 'damping', 'rates', 'of', 'the', 'channels', 'one', 'is', 'to', 'beat', 'the', 'classical', 'limit', 'and', 'the', 'second', 'is', 'to', 'guarantee', 'the', 'nonexistence', 'of', 'any', 'other', 'copy', 'with', 'better', 'fidelity', 'effect', 'of', 'the', 'initially', 'distributed', 'maximally', 'entangled', 'state', 'on', 'the', 'process', 'is', 'presented', 'and', 'the', 'concurrence', 'and', 'the', 'fully', 'entangled', 'fraction', 'of', 'the', 'shared', 'states', 'are', 'discussed', 'we', 'intend', 'to', 'show', 'that', 'prior', 'information', 'on', 'the', 'dissipative', 'channel', 'and', 'the', 'range', 'of', 'qubit', 'states', 'to', 'be', 'teleported', 'is', 'helpful', 'for', 'the', 'evaluation', 'of', 'the', 'success', 'of', 'teleportation', 'where', 'success', 'is', 'defined', 'as', 'surpassing', 'the', 'fidelity', 'limit', 'imposed', 'by', 'the', 'fidelity', 'of', '1to2', 'optimal', 'cloning', 'machine', 'for', 'the', 'specific', 'range', 'of', 'qubits']] | [-0.15073408011459943, 0.17095718956693556, -0.04630518769422038, 0.028239169943018085, 0.03455331990156661, -0.17966732935076862, 0.0982629112490086, 0.35658079814165833, -0.25136446663686496, -0.2762619709596038, 0.11151970880578808, -0.2514496826086984, -0.05095195195665865, 0.23150535536450192, -0.057912938883810335, 0.1245234378528866, 0.08658527354850913, 0.0924960208520519, -0.04288317445157604, -0.28429314703574743, 0.32790652701532413, 0.0634798504320453, 0.32098030704779157, 0.05351787190602133, 0.10877379889628201, 0.01585825669833205, 0.04666598724822203, -0.07734430809681671, -0.1294088784440343, 0.07611120367091093, 0.23530718392805394, 0.14181489021037563, 0.22338833601750208, -0.3793903264583963, -0.2011630821239316, 0.1120365901567945, 0.10964520591395822, 0.163432590409436, 0.01808598454985203, -0.3108473620366898, 0.03269954092772395, -0.18261344421824272, -0.044484052826847996, -0.08422574769479758, 0.006430430913513357, 0.0013515704727703423, -0.2860801611660105, 0.1362223530696197, 0.05000039697060305, -0.00672757930094094, -0.010603826439403224, -0.06099845811329556, -0.01901749626338256, 0.1590906536234825, -0.03458090806397553, 0.029728040581032858, 0.16098731498967744, -0.17469286663514194, -0.1494653066846006, 0.3146826447171131, -0.0674740330922897, -0.23034778066318143, 0.1653533960939526, -0.13779432020912116, -0.0437764198110072, 0.068111144790821, 0.16245905738182817, 0.09588817622173916, -0.10880845541303807, 0.0006707440529046862, -0.007906476233267424, 0.20543943568076373, 0.04853539263942477, 0.16877953052859415, 0.13581605959457882, 0.12507765770353602, 0.06966359540326239, 0.20490618755928044, -0.091489653161614, -0.14430952483336582, -0.31509100337879675, -0.19883012392021943, -0.25272330194147247, 0.0757607809874709, -0.052221397635840924, -0.08235835014405012, 0.40228681610614964, 0.13597980563036716, 0.16906200883853617, 0.05572002706767032, 0.27700738087155374, 0.14493274668824266, 0.03745915713635358, 0.10160710741906906, 0.30842266427635245, 0.1572324017965884, 0.04184076921083033, -0.28189571392740065, 0.1071098418652334, -0.008395350432362069] |
709.1663 | Uniform Bahadur Representation for Local Polynomial Estimates of
M-Regression and Its Application to The Additive Model | We use local polynomial fitting to estimate the nonparametric M-regression
function for strongly mixing stationary processes
$\{(Y_{i},\underline{X}_{i})\}$. We establish a strong uniform consistency rate
for the Bahadur representation of estimators of the regression function and its
derivatives. These results are fundamental for statistical inference and for
applications that involve plugging in such estimators into other functionals
where some control over higher order terms are required. We apply our results
to the estimation of an additive M-regression model.
| math.ST stat.ME stat.TH | we use local polynomial fitting to estimate the nonparametric mregression function for strongly mixing stationary processes y_iunderlinex_i we establish a strong uniform consistency rate for the bahadur representation of estimators of the regression function and its derivatives these results are fundamental for statistical inference and for applications that involve plugging in such estimators into other functionals where some control over higher order terms are required we apply our results to the estimation of an additive mregression model | [['we', 'use', 'local', 'polynomial', 'fitting', 'to', 'estimate', 'the', 'nonparametric', 'mregression', 'function', 'for', 'strongly', 'mixing', 'stationary', 'processes', 'y_iunderlinex_i', 'we', 'establish', 'a', 'strong', 'uniform', 'consistency', 'rate', 'for', 'the', 'bahadur', 'representation', 'of', 'estimators', 'of', 'the', 'regression', 'function', 'and', 'its', 'derivatives', 'these', 'results', 'are', 'fundamental', 'for', 'statistical', 'inference', 'and', 'for', 'applications', 'that', 'involve', 'plugging', 'in', 'such', 'estimators', 'into', 'other', 'functionals', 'where', 'some', 'control', 'over', 'higher', 'order', 'terms', 'are', 'required', 'we', 'apply', 'our', 'results', 'to', 'the', 'estimation', 'of', 'an', 'additive', 'mregression', 'model']] | [-0.03107814506725653, 0.010372929295140478, -0.087662427894477, 0.11702938169994588, -0.06952499802297864, -0.10458386399611634, 0.03809062243243189, 0.39315984545177535, -0.28712846640203343, -0.26723786449905385, 0.13687835252954086, -0.23987770628943844, -0.147202585355875, 0.23317032136746044, -0.07767498516784001, 0.12535050513121715, 0.011505253282130548, -0.0010507198258940327, -0.11277786764242735, -0.292743061751887, 0.27985545064592243, 0.013526520520252617, 0.2729946769020324, -0.0005736859441783867, 0.12794912943469458, 0.04813098015361711, -0.05802606769659752, -0.02370043059712962, -0.18186759058201124, 0.15814183887376107, 0.23089188545648204, 0.12913375306188277, 0.3167712406108254, -0.3786498157209472, -0.22559850194834566, 0.14597012029078446, 0.12756651888699516, 0.05963130344446797, -0.017322336679698264, -0.23434797912149838, 0.09412907253901817, -0.17472534621820637, -0.06289033903005092, -0.17128240997216812, -0.049943466915896066, 0.09938571167080418, -0.40130405194175084, 0.13039322755005406, 0.08255444052874257, 0.034731196159938055, -0.08131124573226675, -0.1534803186445252, 0.02742537755923542, 0.1210794823587333, 0.07196788300950031, -0.01602983637866074, 0.10225521298247929, -0.1604957647842208, -0.10446329152603682, 0.30410075394779834, -0.10592526435318991, -0.2626184238837787, 0.21057274204213172, -0.13437320880199732, -0.1793085835187843, 0.06133201650932039, 0.21016797181954117, 0.10566975528031196, -0.13689761482007606, 0.07937161584758494, -0.007560814448975418, 0.10359252078801785, 0.014630334500811602, 0.046247698801667673, 0.13660436083170535, 0.11696769997453023, 0.13417016620453642, 0.11156771031873129, -0.07646322957436114, -0.10023594797147732, -0.35189597141977985, -0.14763160110573822, -0.1697521673907575, -0.022667971746015706, -0.19065463421582918, -0.20782987871452382, 0.3953288697858194, 0.1863807834145662, 0.15999020699191055, 0.15366647603897085, 0.27131322506619127, 0.20986486246692948, 0.012770466094432203, 0.07911326340093326, 0.18785229686373464, 0.18141177305829173, -0.023777041383590058, -0.15117330922083438, 0.1335332897939033, 0.05372688488262754] |
709.1664 | Multiplicity Studies and Effective Energy in ALICE at the LHC | In this work we explore the possibility to perform ``effective energy''
studies in very high energy collisions at the CERN Large Hadron Collider (LHC).
In particular, we focus on the possibility to measure in $pp$ collisions the
average charged multiplicity as a function of the effective energy with the
ALICE experiment, using its capability to measure the energy of the leading
baryons with the Zero Degree Calorimeters. Analyses of this kind have been done
at lower centre--of--mass energies and have shown that, once the appropriate
kinematic variables are chosen, particle production is characterized by
universal properties: no matter the nature of the interacting particles, the
final states have identical features. Assuming that this universality picture
can be extended to {\it ion--ion} collisions, as suggested by recent results
from RHIC experiments, a novel approach based on the scaling hypothesis for
limiting fragmentation has been used to derive the expected charged event
multiplicity in $AA$ interactions at LHC. This leads to scenarios where the
multiplicity is significantly lower compared to most of the predictions from
the models currently used to describe high energy $AA$ collisions. A mean
charged multiplicity of about 1000-2000 per rapidity unit (at $\eta \sim 0$) is
expected for the most central $Pb-Pb$ collisions at $\sqrt{s_{NN}} = 5.5 TeV$.
| hep-ph | in this work we explore the possibility to perform effective energy studies in very high energy collisions at the cern large hadron collider lhc in particular we focus on the possibility to measure in pp collisions the average charged multiplicity as a function of the effective energy with the alice experiment using its capability to measure the energy of the leading baryons with the zero degree calorimeters analyses of this kind have been done at lower centreofmass energies and have shown that once the appropriate kinematic variables are chosen particle production is characterized by universal properties no matter the nature of the interacting particles the final states have identical features assuming that this universality picture can be extended to it ionion collisions as suggested by recent results from rhic experiments a novel approach based on the scaling hypothesis for limiting fragmentation has been used to derive the expected charged event multiplicity in aa interactions at lhc this leads to scenarios where the multiplicity is significantly lower compared to most of the predictions from the models currently used to describe high energy aa collisions a mean charged multiplicity of about 10002000 per rapidity unit at eta sim 0 is expected for the most central pbpb collisions at sqrts_nn 55 tev | [['in', 'this', 'work', 'we', 'explore', 'the', 'possibility', 'to', 'perform', 'effective', 'energy', 'studies', 'in', 'very', 'high', 'energy', 'collisions', 'at', 'the', 'cern', 'large', 'hadron', 'collider', 'lhc', 'in', 'particular', 'we', 'focus', 'on', 'the', 'possibility', 'to', 'measure', 'in', 'pp', 'collisions', 'the', 'average', 'charged', 'multiplicity', 'as', 'a', 'function', 'of', 'the', 'effective', 'energy', 'with', 'the', 'alice', 'experiment', 'using', 'its', 'capability', 'to', 'measure', 'the', 'energy', 'of', 'the', 'leading', 'baryons', 'with', 'the', 'zero', 'degree', 'calorimeters', 'analyses', 'of', 'this', 'kind', 'have', 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'currently', 'used', 'to', 'describe', 'high', 'energy', 'aa', 'collisions', 'a', 'mean', 'charged', 'multiplicity', 'of', 'about', '10002000', 'per', 'rapidity', 'unit', 'at', 'eta', 'sim', '0', 'is', 'expected', 'for', 'the', 'most', 'central', 'pbpb', 'collisions', 'at', 'sqrts_nn', '55', 'tev']] | [-0.05969635340547786, 0.18434999749715034, -0.1603874764402406, 0.1272807352898785, 0.02007712804351412, -0.11783754102368817, -0.040372249633006965, 0.3293918280062404, -0.19403416942805052, -0.3429555000256052, -0.01540560050116647, -0.33749127985116395, 0.040699394434271605, 0.14415025849142624, 0.04170021429239064, 0.10304111421067028, 0.10996864266854012, 0.05776437234498881, -0.030738366489258536, -0.21504800469485338, 0.2889054278702738, 0.17816687993255206, 0.2470163264006608, 0.13206052559352163, 0.07192082675040196, 0.030542836759604834, -0.004581350561634651, 0.014905608802784288, -0.1557009930939789, 0.07084502207165981, 0.26963226803440643, 0.05564244885474408, 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709.1665 | On some new congruences for binomial coefficients | In this paper we establish some new congruences involving central binomial
coefficients as well as Catalan numbers. Let $p$ be a prime and let $a$ be any
positive integer. We determine $\sum_{k=0}^{p^a-1}\binom{2k}{k+d}$ mod $p^2$
for $d=0,...,p^a$ and $\sum_{k=0}^{p^a-1}\binom{2k}{k+\delta}$ mod $p^3$ for
$\delta=0,1$. We also show that
$$C_n^{-1}\sum_{k=0}^{p^a-1}C_{p^an+k}=1-3(n+1)((p^a-1)/3) (mod p^2)$$ for
every n=0,1,2,..., where $C_m$ is the Catalan number $\binom{2m}{m}/(m+1)$, and
(-) is the Legendre symbol.
| math.NT math.CO | in this paper we establish some new congruences involving central binomial coefficients as well as catalan numbers let p be a prime and let a be any positive integer we determine sum_k0pa1binom2kkd mod p2 for d0pa and sum_k0pa1binom2kkdelta mod p3 for delta01 we also show that c_n1sum_k0pa1c_pank13n1pa13 mod p2 for every n012 where c_m is the catalan number binom2mmm1 and is the legendre symbol | [['in', 'this', 'paper', 'we', 'establish', 'some', 'new', 'congruences', 'involving', 'central', 'binomial', 'coefficients', 'as', 'well', 'as', 'catalan', 'numbers', 'let', 'p', 'be', 'a', 'prime', 'and', 'let', 'a', 'be', 'any', 'positive', 'integer', 'we', 'determine', 'sum_k0pa1binom2kkd', 'mod', 'p2', 'for', 'd0pa', 'and', 'sum_k0pa1binom2kkdelta', 'mod', 'p3', 'for', 'delta01', 'we', 'also', 'show', 'that', 'c_n1sum_k0pa1c_pank13n1pa13', 'mod', 'p2', 'for', 'every', 'n012', 'where', 'c_m', 'is', 'the', 'catalan', 'number', 'binom2mmm1', 'and', 'is', 'the', 'legendre', 'symbol']] | [-0.25388479349598037, 0.12827542301077963, -0.06764161179505163, 0.05661973053534215, -0.09257784333490467, -0.23181648760189508, -0.0142034775107878, 0.2602944352853475, -0.3274762497867568, -0.2343345694875313, 0.04897462840042061, -0.3061429904931683, -0.19328765302770218, 0.2123998836061712, -0.12177920262566057, -0.01931180962424536, -0.011698794716937562, 0.15755373518913984, -0.025758905553306313, -0.28818698555736216, 0.30361004157970517, -0.07908941388635313, 0.05689460665808391, 0.043566587286354125, 0.029955061768197407, 0.05311702839217259, 0.06358047854155302, -0.04588932025451529, -0.21241557409148762, 0.05787606426846173, 0.36465226884110497, 0.06823242155803462, 0.24505951107179713, -0.35588141802799006, -0.07071406111689442, 0.2856488555701355, 0.2113043650732202, -0.0706662298377477, 0.0030357686929025894, -0.15096523956853455, 0.2262667721468892, -0.17402890283551256, -0.11101331768589, -0.1259394697687131, 0.17121561001039157, 0.11763429960583226, -0.4133328520140405, 0.024726460044078875, 0.10380660851635987, 0.17351361375175794, -0.041061025598260054, -0.22493006003294455, 0.03570053778131003, 0.05947738330242997, 0.013598388937002017, 0.07492544384223361, -0.03428267615046194, -0.05839367881338349, -0.1446203931345273, 0.38475731075188874, 0.029163320469906776, -0.24357542089360246, 0.01064613542787857, -0.2394758140415711, -0.24265047345878715, 0.06147551231907081, 0.08712000369836213, 0.16744980179720512, 0.04672478112565764, 0.13960263896753253, -0.15022455111651098, 0.13970907581022987, 0.19486502589563193, -0.053118044755153235, 0.13994794023239007, -0.007374616213521715, 0.036794067583425696, 0.16663710575282448, -0.059642960585780065, 0.0958803793873196, -0.37155006450237865, -0.283623175758679, -0.22405442286093355, 0.16869904474213215, -0.1311435671752591, -0.0969468573802861, 0.3195414150417861, 0.07603732427045451, 0.1663894130832563, 0.16679974332830663, 0.16816072967850557, 0.13483949055721572, 0.0037904757438069685, 0.07665634955579446, 0.00031616197261659395, 0.17535597338514813, -0.014559781541890008, -0.11384683148146181, -0.033340587012343485, 0.20215106747602507] |
709.1666 | Inductive acceleration of UHECRs in sheared relativistic jets | Relativistic outflows carrying large scale magnetic fields have large
inductive potential and may accelerate protons to ultra high energies. We
discuss a novel scheme of Ultra-High Energy Cosmic Ray (UHECR) acceleration due
to drifts in magnetized, cylindrically collimated, sheared jets of powerful
active galaxies (with jet luminosity $\geq 10^{46}$ erg s$^{-1}$). A positively
charged particle carried by such a plasma is in an unstable equilibrium if
${\bf B} \cdot \nabla \times {\bf v}< 0$, so that kinetic drift along the
velocity shear would lead to fast, regular energy gain. The highest rigidity
particles are accelerated most efficiently implying the dominance of light
nuclei for energies above the ankle in our model: from a mixed population of
pre-accelerated particle the drift mechanism picks up and boosts protons
preferably.
| astro-ph | relativistic outflows carrying large scale magnetic fields have large inductive potential and may accelerate protons to ultra high energies we discuss a novel scheme of ultrahigh energy cosmic ray uhecr acceleration due to drifts in magnetized cylindrically collimated sheared jets of powerful active galaxies with jet luminosity geq 1046 erg s1 a positively charged particle carried by such a plasma is in an unstable equilibrium if bf b cdot nabla times bf v 0 so that kinetic drift along the velocity shear would lead to fast regular energy gain the highest rigidity particles are accelerated most efficiently implying the dominance of light nuclei for energies above the ankle in our model from a mixed population of preaccelerated particle the drift mechanism picks up and boosts protons preferably | [['relativistic', 'outflows', 'carrying', 'large', 'scale', 'magnetic', 'fields', 'have', 'large', 'inductive', 'potential', 'and', 'may', 'accelerate', 'protons', 'to', 'ultra', 'high', 'energies', 'we', 'discuss', 'a', 'novel', 'scheme', 'of', 'ultrahigh', 'energy', 'cosmic', 'ray', 'uhecr', 'acceleration', 'due', 'to', 'drifts', 'in', 'magnetized', 'cylindrically', 'collimated', 'sheared', 'jets', 'of', 'powerful', 'active', 'galaxies', 'with', 'jet', 'luminosity', 'geq', '1046', 'erg', 's1', 'a', 'positively', 'charged', 'particle', 'carried', 'by', 'such', 'a', 'plasma', 'is', 'in', 'an', 'unstable', 'equilibrium', 'if', 'bf', 'b', 'cdot', 'nabla', 'times', 'bf', 'v', '0', 'so', 'that', 'kinetic', 'drift', 'along', 'the', 'velocity', 'shear', 'would', 'lead', 'to', 'fast', 'regular', 'energy', 'gain', 'the', 'highest', 'rigidity', 'particles', 'are', 'accelerated', 'most', 'efficiently', 'implying', 'the', 'dominance', 'of', 'light', 'nuclei', 'for', 'energies', 'above', 'the', 'ankle', 'in', 'our', 'model', 'from', 'a', 'mixed', 'population', 'of', 'preaccelerated', 'particle', 'the', 'drift', 'mechanism', 'picks', 'up', 'and', 'boosts', 'protons', 'preferably']] | [-0.12104860816048238, 0.29788498822189446, -0.021089892035100873, 0.11627843817714309, -0.0633297236782946, -0.13118382689440403, -0.03735254087859369, 0.4344284666159491, -0.24276643580350085, -0.31113864138253094, -0.04617002429202287, -0.26745776926702636, 0.07984594937677927, 0.16724696839741598, 0.031711062779430095, -0.02781022234552166, 0.0494649002216683, -0.033379847616485256, -0.0233388164348343, -0.1502161545818305, 0.23175578564772104, 0.18199439035860573, 0.23133325226619605, 0.04614304471852654, 0.1722562172024797, -0.07597452544013229, 0.01712192060411211, 0.00636832964217921, -0.09984695765447178, 0.040504233735635525, 0.1820679664479818, 0.05278120556017604, 0.2557704885655008, -0.43829733389246417, -0.2193025253331802, 0.11228783160272077, 0.19225000841983073, 0.028888652511821017, -0.09808447389560018, -0.22733177808590058, 0.08155663362264222, -0.1899897187332234, -0.20321153224937208, -0.022706870084965792, 0.041456802014818814, 0.0988506141786031, -0.27270441035938076, 0.1536681573786663, 0.04038686422341481, -0.00734348541059656, -0.08486785852867289, -0.11000260226721839, -0.029806667610665593, -0.02803345532779853, 0.1290385111053584, 0.12666949695049542, 0.24513917536966093, -0.1456373553781763, -0.0671266838688198, 0.3880074209878294, -0.04441959916349999, -0.11455188817381272, 0.20908644614469876, -0.2095871531939882, -0.12357554352277611, 0.28240229631407465, 0.22429987132241289, 0.13885456765451887, -0.13549855160416932, 0.0597394642660277, 0.0068639169711120955, 0.11990503469614062, 0.06969137448729493, -0.014490920210653168, 0.2690092870290941, 0.10981840573940573, 0.08737591820710346, 0.047288012514844185, -0.1629736974054405, 0.008113348471572784, -0.3154987651986752, -0.14574465670762218, -0.10433658354505017, 0.15657322480724611, -0.10946430626676389, -0.1100726809579967, 0.33490375435908715, 0.10115197961269988, 0.18788551710689014, -0.03166797366653254, 0.254343058349286, 0.059121286024442166, 0.019216866513409866, 0.2122911640303576, 0.31808749625576643, 0.1736120674850815, 0.13692243656832873, -0.2100787924063634, -0.028021886980062072, 0.03582240411586414] |
709.1667 | Solving Constraint Satisfaction Problems through Belief
Propagation-guided decimation | Message passing algorithms have proved surprisingly successful in solving
hard constraint satisfaction problems on sparse random graphs. In such
applications, variables are fixed sequentially to satisfy the constraints.
Message passing is run after each step. Its outcome provides an heuristic to
make choices at next step. This approach has been referred to as `decimation,'
with reference to analogous procedures in statistical physics.
The behavior of decimation procedures is poorly understood. Here we consider
a simple randomized decimation algorithm based on belief propagation (BP), and
analyze its behavior on random k-satisfiability formulae. In particular, we
propose a tree model for its analysis and we conjecture that it provides
asymptotically exact predictions in the limit of large instances. This
conjecture is confirmed by numerical simulations.
| cs.AI cond-mat.dis-nn cond-mat.stat-mech cs.CC | message passing algorithms have proved surprisingly successful in solving hard constraint satisfaction problems on sparse random graphs in such applications variables are fixed sequentially to satisfy the constraints message passing is run after each step its outcome provides an heuristic to make choices at next step this approach has been referred to as decimation with reference to analogous procedures in statistical physics the behavior of decimation procedures is poorly understood here we consider a simple randomized decimation algorithm based on belief propagation bp and analyze its behavior on random ksatisfiability formulae in particular we propose a tree model for its analysis and we conjecture that it provides asymptotically exact predictions in the limit of large instances this conjecture is confirmed by numerical simulations | [['message', 'passing', 'algorithms', 'have', 'proved', 'surprisingly', 'successful', 'in', 'solving', 'hard', 'constraint', 'satisfaction', 'problems', 'on', 'sparse', 'random', 'graphs', 'in', 'such', 'applications', 'variables', 'are', 'fixed', 'sequentially', 'to', 'satisfy', 'the', 'constraints', 'message', 'passing', 'is', 'run', 'after', 'each', 'step', 'its', 'outcome', 'provides', 'an', 'heuristic', 'to', 'make', 'choices', 'at', 'next', 'step', 'this', 'approach', 'has', 'been', 'referred', 'to', 'as', 'decimation', 'with', 'reference', 'to', 'analogous', 'procedures', 'in', 'statistical', 'physics', 'the', 'behavior', 'of', 'decimation', 'procedures', 'is', 'poorly', 'understood', 'here', 'we', 'consider', 'a', 'simple', 'randomized', 'decimation', 'algorithm', 'based', 'on', 'belief', 'propagation', 'bp', 'and', 'analyze', 'its', 'behavior', 'on', 'random', 'ksatisfiability', 'formulae', 'in', 'particular', 'we', 'propose', 'a', 'tree', 'model', 'for', 'its', 'analysis', 'and', 'we', 'conjecture', 'that', 'it', 'provides', 'asymptotically', 'exact', 'predictions', 'in', 'the', 'limit', 'of', 'large', 'instances', 'this', 'conjecture', 'is', 'confirmed', 'by', 'numerical', 'simulations']] | [-0.11806823824327893, 0.05341935498261118, -0.13736105823843944, 0.0863458988970388, -0.10326720524495997, -0.20893711797756756, 0.09985969989462112, 0.44427276450413755, -0.27235395002474144, -0.2868230186570322, 0.12423033217759424, -0.22892360630013595, -0.18452204257340693, 0.15743210561321747, -0.06973842368271899, 0.11638303186481334, 0.09638519750953448, 0.04604820887429443, -0.06337098209225248, -0.29618997077790765, 0.22479689001613032, 0.07984636455198856, 0.26913431618264233, 0.011603198260280901, 0.10230892168819844, 0.06992962745934482, -0.029096559087586838, 0.012856349061296238, -0.13948469076002049, 0.02799236973581033, 0.2652462299201426, 0.19856084920503805, 0.32268986798353433, -0.4316532441180169, -0.18094307170211663, 0.094573985141649, 0.16148601394767562, 0.1656402441695696, -0.03588196794915096, -0.2372390542149059, 0.1272571658870826, -0.1144853135480023, -0.11572901275750946, -0.08634180980318082, -0.015862331509862732, -0.008449424134389445, -0.27961312335957506, 0.020020286859263006, 0.0463642666335937, 0.014997853621143878, 0.023813395368170023, -0.1041020524718352, 0.08015443022718759, 0.0864356056327091, 0.05994860325538652, 0.005004719028446248, 0.08487887637750284, -0.0821840747153553, -0.17978134982257596, 0.3760956343986488, -0.015402209505862822, -0.21066833928045703, 0.1666263497748783, -0.022131593205835444, -0.2228017805534135, 0.10371143576060611, 0.19872179992754407, 0.14822068400832453, -0.14968238942839993, 0.106636850805991, -0.06918820385949884, 0.12331981349611519, 0.05125302075203962, -0.011805278411877106, 0.15411955936683144, 0.19908027545685267, 0.08180361757683378, 0.16134155507585624, -0.03550862459034273, -0.12020777719383074, -0.25617216307881885, -0.09759936389244517, -0.2166823324259007, 0.0181120127520895, -0.13224362144298754, -0.1992773361110348, 0.35753695008806824, 0.19096711768609723, 0.18020025545322313, 0.12796331962525118, 0.3003817586970281, 0.1295974422766774, 0.004181755903532834, 0.12052664394694858, 0.20500280225944773, 0.15211446629647862, 0.07284839859559311, -0.15474442593617047, 0.13319937777289045, 0.11644213942704888] |
709.1668 | Anomalies in gauge theory and gerbes over quotient stacks | We give a new interpretation of the Faddeev-Mickelsson anomaly in certain
Yang-Mills theories in terms of S^1-central extensions of Lie groupoids.
| math.DG math-ph math.MP | we give a new interpretation of the faddeevmickelsson anomaly in certain yangmills theories in terms of s1central extensions of lie groupoids | [['we', 'give', 'a', 'new', 'interpretation', 'of', 'the', 'faddeevmickelsson', 'anomaly', 'in', 'certain', 'yangmills', 'theories', 'in', 'terms', 'of', 's1central', 'extensions', 'of', 'lie', 'groupoids']] | [-0.22576894210651516, 0.08504683426581323, -0.08660703506029677, 0.12249037809669971, -0.1482530971057713, -0.07628639617469161, -0.0027178328484296797, 0.29561173021793363, -0.21099370382726193, -0.2653271327726543, 0.09678423494333402, -0.19083973560482265, -0.2301111147738993, 0.1535904470831156, -0.1810300460550934, -0.034565734677016735, 0.0033065628726035357, 0.1550698159262538, -0.19135857310611754, -0.24562686050776392, 0.36560346353799106, -0.009145529754459859, 0.18031702060252427, 0.10608260044828058, 0.13028828781098128, -0.008110824110917746, -0.02976736929558683, 0.030755709018558265, -0.11926104254089295, 0.17289189007133246, 0.30476484503597023, 0.09466876480728388, 0.1334684149362147, -0.4029882363975048, -0.1961895255604759, 0.1266477895900607, 0.12029720379505307, 0.04728627079166472, -0.021196469478309155, -0.316907662153244, 0.03148535187356174, -0.22778491545468568, -0.12672236654907465, -0.10797170884907245, -0.00027736818301491437, -0.0572053593583405, -0.1583477166481316, 0.07868739640107378, 0.0665449253283441, 0.16054718284867703, -0.0934386289678514, -0.091146697034128, 0.03156012538820505, 0.01128061858471483, 0.029803548782365397, -0.02420149550307542, 0.09770798564422875, -0.19740038969321178, -0.2668341165408492, 0.41672187820076945, -0.09912815950810909, -0.2178700329735875, 0.16405968229519202, -0.17568885716609656, -0.2634525256231427, 0.07799002937972546, 0.08446206350345165, 0.16417573494836687, -0.09438239098526538, 0.22440553000196814, -0.13201659880578517, -0.0374808581545949, 0.08165073313284665, 0.07483963444828987, 0.219863464217633, 0.11707203148398548, 0.07160864504985512, 0.14452962540090084, 0.09064297527074813, -0.054956868104636666, -0.5295230284333229, -0.24907665941864252, 0.04221028005704284, 0.07844420360634104, -0.12223246688954532, -0.22603092147037387, 0.4122505963779986, 0.1961343022994697, 0.19852559664286673, 0.1284670999739319, 0.11431677546352148, 0.13493460641475394, 0.12593805212527515, -0.022015190427191557, 0.1728175965603441, 0.31156148072332146, 0.016597607359290122, -0.1263572247698903, -0.1367659562965855, 0.24884261211846023] |
709.1669 | Mott transition of fermionic atoms in a three-dimensional optical trap | We study theoretically the Mott metal-insulator transition for a system of
fermionic atoms confined in a three-dimensional optical lattice and a harmonic
trap. We describe an inhomogeneous system of several thousand sites using an
adaptation of dynamical mean field theory solved efficiently with the numerical
renormalization group method. Above a critical value of the on-site
interaction, a Mott-insulating phase appears in the system. We investigate
signatures of the Mott phase in the density profile and in time-of-flight
experiments.
| cond-mat.str-el cond-mat.other | we study theoretically the mott metalinsulator transition for a system of fermionic atoms confined in a threedimensional optical lattice and a harmonic trap we describe an inhomogeneous system of several thousand sites using an adaptation of dynamical mean field theory solved efficiently with the numerical renormalization group method above a critical value of the onsite interaction a mottinsulating phase appears in the system we investigate signatures of the mott phase in the density profile and in timeofflight experiments | [['we', 'study', 'theoretically', 'the', 'mott', 'metalinsulator', 'transition', 'for', 'a', 'system', 'of', 'fermionic', 'atoms', 'confined', 'in', 'a', 'threedimensional', 'optical', 'lattice', 'and', 'a', 'harmonic', 'trap', 'we', 'describe', 'an', 'inhomogeneous', 'system', 'of', 'several', 'thousand', 'sites', 'using', 'an', 'adaptation', 'of', 'dynamical', 'mean', 'field', 'theory', 'solved', 'efficiently', 'with', 'the', 'numerical', 'renormalization', 'group', 'method', 'above', 'a', 'critical', 'value', 'of', 'the', 'onsite', 'interaction', 'a', 'mottinsulating', 'phase', 'appears', 'in', 'the', 'system', 'we', 'investigate', 'signatures', 'of', 'the', 'mott', 'phase', 'in', 'the', 'density', 'profile', 'and', 'in', 'timeofflight', 'experiments']] | [-0.1836140208865683, 0.19535494292825042, -0.07408318190405574, 0.03244680993688794, 0.0504799349567829, -0.1372410788287361, 0.08453423578071241, 0.40577816019933194, -0.2556428979747953, -0.2412774450599383, 0.05985345616220282, -0.29759313833589357, -0.15122330823960978, 0.13256894725446516, 0.061892034247135505, 0.048001421275190435, -0.007016083822609522, 0.010034190207266081, -0.151651135901025, -0.19762890838468686, 0.3103091069437468, 0.0013636247529528844, 0.2542403640750891, 0.07797466667267518, 0.05567851822632246, -0.0008325828149771461, 0.10919857793487608, 0.026805105756442897, -0.1683194127280074, 0.04879930417948158, 0.2053566638548942, -0.02609641995663062, 0.2523817567107005, -0.4313184978941885, -0.22383621776810822, 0.05331369790618714, 0.16283333954663995, 0.17502784189314413, -0.10054177349098982, -0.33137731109775653, -0.05213546944567217, -0.22095901105636492, -0.1780303115120683, -0.09423692589450347, -0.017459351621651784, 0.01086519116189522, -0.2678851574325027, 0.1057218341365791, -0.015978824265543014, 0.13563486154024035, -0.1271090387174179, -0.021528840526186217, 0.015663358830631927, 0.08588620231677897, -0.03120498635018101, 0.040741367847658694, 0.13462380078048086, -0.15811449336261155, -0.08125869638453691, 0.41102867922148645, -0.11158059031302588, -0.10001946467524156, 0.18218457174654573, -0.18107331069843033, -0.06209486283552952, 0.16676857042274115, 0.17320370831741735, 0.11224699315603058, -0.13551029253703278, 0.06972841597729339, -0.0687386870267801, 0.20505632168780535, -0.022331914667469952, -0.004929242034753163, 0.23022435557765838, 0.21289539765954638, 0.05879327817223011, 0.19300273828542766, -0.10521306320786095, -0.1259561219992928, -0.25511052100083387, -0.17249752123816273, -0.2420498734453502, -0.00738230364349408, -0.0766853319883245, -0.1802910130876952, 0.42909376540531713, 0.1850148883755677, 0.1822208181107178, -0.07556251712286702, 0.230613265102968, 0.1459665472069994, 0.010577839930565694, 0.01471525967383805, 0.23159856356393832, 0.1531374495333204, 0.11151918633960378, -0.30874345750094223, -0.0668204050952903, 0.1190419557940167] |
709.167 | On approximate solutions of semilinear evolution equations II.
Generalizations, and applications to Navier-Stokes equations | In our previous paper [12] (Rev. Math. Phys. 16, 383-420 (2004)), a general
framework was outlined to treat the approximate solutions of semilinear
evolution equations; more precisely, a scheme was presented to infer from an
approximate solution the existence (local or global in time) of an exact
solution, and to estimate their distance. In the first half of the present work
the abstract framework of \cite{uno} is extended, so as to be applicable to
evolutionary PDEs whose nonlinearities contain derivatives in the space
variables. In the second half of the paper this extended framework is applied
to theincompressible Navier-Stokes equations, on a torus T^d of any dimension.
In this way a number of results are obtained in the setting of the Sobolev
spaces H^n(T^d), choosing the approximate solutions in a number of different
ways. With the simplest choices we recover local existence of the exact
solution for arbitrary data and external forces, as well as global existence
for small data and forces. With the supplementary assumption of exponential
decay in time for the forces, the same decay law is derived for the exact
solution with small (zero mean) data and forces. The interval of existence for
arbitrary data, the upper bounds on data and forces for global existence, and
all estimates on the exponential decay of the exact solution are derived in a
fully quantitative way (i.e., giving the values of all the necessary constants;
this makes a difference with most of the previous literature). Nextly, the
Galerkin approximate solutions are considered and precise, still quantitative
estimates are derived for their H^n distance from the exact solution; these are
global in time for small data and forces (with exponential time decay of the
above distance, if the forces decay similarly).
| math.AP math-ph math.MP | in our previous paper 12 rev math phys 16 383420 2004 a general framework was outlined to treat the approximate solutions of semilinear evolution equations more precisely a scheme was presented to infer from an approximate solution the existence local or global in time of an exact solution and to estimate their distance in the first half of the present work the abstract framework of citeuno is extended so as to be applicable to evolutionary pdes whose nonlinearities contain derivatives in the space variables in the second half of the paper this extended framework is applied to theincompressible navierstokes equations on a torus td of any dimension in this way a number of results are obtained in the setting of the sobolev spaces hntd choosing the approximate solutions in a number of different ways with the simplest choices we recover local existence of the exact solution for arbitrary data and external forces as well as global existence for small data and forces with the supplementary assumption of exponential decay in time for the forces the same decay law is derived for the exact solution with small zero mean data and forces the interval of existence for arbitrary data the upper bounds on data and forces for global existence and all estimates on the exponential decay of the exact solution are derived in a fully quantitative way ie giving the values of all the necessary constants this makes a difference with most of the previous literature nextly the galerkin approximate solutions are considered and precise still quantitative estimates are derived for their hn distance from the exact solution these are global in time for small data and forces with exponential time decay of the above distance if the forces decay similarly | [['in', 'our', 'previous', 'paper', '12', 'rev', 'math', 'phys', '16', '383420', '2004', 'a', 'general', 'framework', 'was', 'outlined', 'to', 'treat', 'the', 'approximate', 'solutions', 'of', 'semilinear', 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709.1671 | Gribov copies and confinement | We analyse the role of the Gribov ambiguity in the construction of physical
charges in gauge theories. It is shown explicitly how the Gribov copies prevent
the construction of physical coloured charges beyond perturbation theory. We
also present a new and manifestly non-perturbative class of Coulomb gauge
Gribov copies.
| hep-th | we analyse the role of the gribov ambiguity in the construction of physical charges in gauge theories it is shown explicitly how the gribov copies prevent the construction of physical coloured charges beyond perturbation theory we also present a new and manifestly nonperturbative class of coulomb gauge gribov copies | [['we', 'analyse', 'the', 'role', 'of', 'the', 'gribov', 'ambiguity', 'in', 'the', 'construction', 'of', 'physical', 'charges', 'in', 'gauge', 'theories', 'it', 'is', 'shown', 'explicitly', 'how', 'the', 'gribov', 'copies', 'prevent', 'the', 'construction', 'of', 'physical', 'coloured', 'charges', 'beyond', 'perturbation', 'theory', 'we', 'also', 'present', 'a', 'new', 'and', 'manifestly', 'nonperturbative', 'class', 'of', 'coulomb', 'gauge', 'gribov', 'copies']] | [-0.15506868067016938, 0.22066624078671543, -0.1343240112788519, 0.10502748842569715, -0.08754519380781116, -0.0680054217263372, 0.036311096324091206, 0.3069444805079577, -0.1705689147418859, -0.2780301172514351, 0.007322773669979402, -0.2273344284265625, -0.19061901838499673, -0.0162376874715698, -0.13904768017557811, 0.007568488011554796, 0.010712453468265583, 0.0576802883297205, -0.030832684275751213, -0.2634830245253991, 0.3568055553798925, -0.004522503581734336, 0.21441282702571884, 0.1608514882415077, 0.11395062886330547, 0.08335221556433457, -0.0832859851724031, -0.009675915913694367, -0.1301866840305073, 0.023253128215271448, 0.21417497592617055, 0.058096660339102456, 0.21517048453037835, -0.4280254420805342, -0.19864663262067514, 0.0721959030179649, 0.1639548670500517, 0.18514981614995976, -0.03866160535601791, -0.31975160136210673, 0.0053532547222412364, -0.22726519466662892, -0.19834783797304392, -0.1201156462941851, -0.019900687960717752, -0.14532427174248258, -0.22362803660181105, 0.043359212301153575, 0.004869635768082677, -0.033879521055793275, -0.040412554968794694, -0.054302003310651194, -0.0558389288097696, 0.13051340285194468, 0.1579023545681575, 0.040122830356490245, 0.13397454232813752, -0.1912138026815896, -0.15430934769125199, 0.38900104360845017, 0.04402049938787003, -0.2764131455321093, 0.12242972441207693, -0.13296036443159898, -0.25496408487765154, 0.11567366704800908, 0.05093417212614143, 0.1612485222119306, -0.19409296555178507, 0.25687097065145986, -0.05229279893089314, 0.12112482325934178, 0.10493855512872034, 0.12819643548632764, 0.21053738253457205, 0.06303629107602245, 0.017248420633983855, 0.1789657632839315, 0.027113393747380803, -0.1965588029017862, -0.5119952057697335, -0.09498795476499755, -0.1367166857900364, 0.12324401459238511, -0.13750416883332797, -0.19839514020476395, 0.36135662985521333, 0.2050441283808679, 0.12918462994394406, -0.009547956715508992, 0.2171295719335274, 0.07595888715313405, 0.1496936633698262, -0.050465750802612425, 0.20152020127493508, 0.17444365562833086, 0.033135367538399844, -0.29701085798252297, -0.1465121882644539, 0.19679079654303436] |
709.1672 | Explore Physics Beyond the Standard Model with GLAST | We give an overview of the possibility of GLAST to explore theories beyond
the Standard Model of particle physics. Among the wide taxonomy we will focus
in particular on low scale supersymmetry and theories with extra space-time
dimensions. These theories give a suitable dark matter candidate whose
interactions and composition can be studied using a gamma ray probe. We show
the possibility of GLAST to disentangle such exotic signals from a standard
production background.
| astro-ph hep-ph | we give an overview of the possibility of glast to explore theories beyond the standard model of particle physics among the wide taxonomy we will focus in particular on low scale supersymmetry and theories with extra spacetime dimensions these theories give a suitable dark matter candidate whose interactions and composition can be studied using a gamma ray probe we show the possibility of glast to disentangle such exotic signals from a standard production background | [['we', 'give', 'an', 'overview', 'of', 'the', 'possibility', 'of', 'glast', 'to', 'explore', 'theories', 'beyond', 'the', 'standard', 'model', 'of', 'particle', 'physics', 'among', 'the', 'wide', 'taxonomy', 'we', 'will', 'focus', 'in', 'particular', 'on', 'low', 'scale', 'supersymmetry', 'and', 'theories', 'with', 'extra', 'spacetime', 'dimensions', 'these', 'theories', 'give', 'a', 'suitable', 'dark', 'matter', 'candidate', 'whose', 'interactions', 'and', 'composition', 'can', 'be', 'studied', 'using', 'a', 'gamma', 'ray', 'probe', 'we', 'show', 'the', 'possibility', 'of', 'glast', 'to', 'disentangle', 'such', 'exotic', 'signals', 'from', 'a', 'standard', 'production', 'background']] | [-0.09533451328595244, 0.19668892895149198, -0.09666235391066309, 0.16628458513878286, -0.11029174269768535, -0.15340434127751537, -0.011392205033287708, 0.3183560150398596, -0.25121051434276476, -0.37601578888810566, 0.037352132540183595, -0.2626686815952731, -0.1000874722754029, 0.19448474720844092, -0.004320210298976382, 0.009657133180283111, -0.015172285669659441, 0.022905066288453905, -0.06494847712786617, -0.22636606974678264, 0.31995824270101414, 0.09213964814773283, 0.19977368916561072, 0.07754711466023347, 0.09200020798960247, -0.012606760342227848, -0.06853419429279638, -0.0145516518402744, -0.16905463544173618, 0.11665897832780674, 0.21811391784167672, 0.13843124186481676, 0.13787936346680735, -0.4301685513676824, -0.27176354463035995, 0.16642013911434725, 0.12234484033684272, 0.08450246171874774, -0.10487042957243535, -0.3283914335676142, 0.052749006392283214, -0.22522460331989302, -0.1584328118510343, -0.10022884140709869, -0.032247826998197546, -0.025605140644050128, -0.20655127554326444, 0.006561573188928132, -0.014211873574232732, 0.012375189938481796, -0.05484827437180069, -0.08340589381200639, 0.03683331993257476, 0.04115531262249459, 0.09267081724671722, -0.01700139878714155, 0.15177364208785868, -0.2047950631712337, -0.15953730028500226, 0.4327388500442376, -0.09653018895108756, -0.16380754682059223, 0.2602464363381669, -0.1724384388055753, -0.1961659420520772, 0.07974441537029438, 0.2106100936999192, 0.10764620376348093, -0.15263688360416405, 0.18386759769015731, 0.00029015301324024394, 0.15948874547108505, 0.017436433747108723, 0.10124661978743216, 0.3313030955457204, 0.20801714210884292, 0.06511342736288302, 0.09796105333245234, -0.10590081285005687, -0.029710810556000954, -0.3908573857821663, -0.15816921744545973, -0.0735576508045228, 0.07452852420927328, -0.07520100324551537, -0.12694515585049837, 0.3865080566799923, 0.16856713261379785, 0.18233319976039836, -0.016195064303591043, 0.2312589419401578, 0.03253104591842841, 0.03957056113820825, -0.008392366291199988, 0.2916445317929862, 0.08418442575714073, 0.06371072614943055, -0.14530356788089047, -0.0441194036975503, 0.03453765438265494] |
709.1673 | Gravitational Higgs Mechanism and Massive Gravity | In arXiv:hep-th/0011245, in the context of domain wall backgrounds, it was
shown that spontaneous breaking of diffeomorphism invariance results in
gravitational Higgs mechanism. Recently in arXiv:0708.3184 't Hooft discussed
gravitational Higgs mechanism in the context of obtaining massive gravity
directly in four dimensions, and pointed out some subtleties with unitarity. We
attribute these subtleties to breaking time-like diffeomorphisms, and discuss
gravitational Higgs mechanism with all but time-like diffeomorphisms
spontaneously broken. The resulting background is no longer flat but exhibits
expansion, which is linear in time. For space-time dimensions D <= 10 the
background is stable and has no non-unitary propagating modes. The absence of
non-unitary modes is due to the unbroken time-like diffeomorphism invariance.
The physical states correspond to those of a massive graviton. The effective
mass squared of the graviton is positive for D < 10, and vanishes for D = 10.
For D > 10 the graviton modes become effectively tachyonic. The special value
of D=10, which coincides with the critical dimension of superstring theory,
arises in our setup completely classically.
| hep-th gr-qc | in arxivhepth0011245 in the context of domain wall backgrounds it was shown that spontaneous breaking of diffeomorphism invariance results in gravitational higgs mechanism recently in arxiv07083184 t hooft discussed gravitational higgs mechanism in the context of obtaining massive gravity directly in four dimensions and pointed out some subtleties with unitarity we attribute these subtleties to breaking timelike diffeomorphisms and discuss gravitational higgs mechanism with all but timelike diffeomorphisms spontaneously broken the resulting background is no longer flat but exhibits expansion which is linear in time for spacetime dimensions d 10 the background is stable and has no nonunitary propagating modes the absence of nonunitary modes is due to the unbroken timelike diffeomorphism invariance the physical states correspond to those of a massive graviton the effective mass squared of the graviton is positive for d 10 and vanishes for d 10 for d 10 the graviton modes become effectively tachyonic the special value of d10 which coincides with the critical dimension of superstring theory arises in our setup completely classically | [['in', 'arxivhepth0011245', 'in', 'the', 'context', 'of', 'domain', 'wall', 'backgrounds', 'it', 'was', 'shown', 'that', 'spontaneous', 'breaking', 'of', 'diffeomorphism', 'invariance', 'results', 'in', 'gravitational', 'higgs', 'mechanism', 'recently', 'in', 'arxiv07083184', 't', 'hooft', 'discussed', 'gravitational', 'higgs', 'mechanism', 'in', 'the', 'context', 'of', 'obtaining', 'massive', 'gravity', 'directly', 'in', 'four', 'dimensions', 'and', 'pointed', 'out', 'some', 'subtleties', 'with', 'unitarity', 'we', 'attribute', 'these', 'subtleties', 'to', 'breaking', 'timelike', 'diffeomorphisms', 'and', 'discuss', 'gravitational', 'higgs', 'mechanism', 'with', 'all', 'but', 'timelike', 'diffeomorphisms', 'spontaneously', 'broken', 'the', 'resulting', 'background', 'is', 'no', 'longer', 'flat', 'but', 'exhibits', 'expansion', 'which', 'is', 'linear', 'in', 'time', 'for', 'spacetime', 'dimensions', 'd', '10', 'the', 'background', 'is', 'stable', 'and', 'has', 'no', 'nonunitary', 'propagating', 'modes', 'the', 'absence', 'of', 'nonunitary', 'modes', 'is', 'due', 'to', 'the', 'unbroken', 'timelike', 'diffeomorphism', 'invariance', 'the', 'physical', 'states', 'correspond', 'to', 'those', 'of', 'a', 'massive', 'graviton', 'the', 'effective', 'mass', 'squared', 'of', 'the', 'graviton', 'is', 'positive', 'for', 'd', '10', 'and', 'vanishes', 'for', 'd', '10', 'for', 'd', '10', 'the', 'graviton', 'modes', 'become', 'effectively', 'tachyonic', 'the', 'special', 'value', 'of', 'd10', 'which', 'coincides', 'with', 'the', 'critical', 'dimension', 'of', 'superstring', 'theory', 'arises', 'in', 'our', 'setup', 'completely', 'classically']] | [-0.20089019678804712, 0.24782893397024877, -0.04524082516408747, 0.11537713909846, -0.09425378749368801, -0.1822725600102872, -0.019886450496241673, 0.3049158085736313, -0.180626921413932, -0.24012511859057536, 0.07816633097605691, -0.2638388472135245, -0.12570577563851007, 0.10105046900987093, -0.02237467945087701, 0.05176006354546795, -0.011580362167608525, 0.0630161059116723, -0.07412389921817175, -0.2369573399385748, 0.3513552475737275, 0.02987239323140654, 0.2650703715348971, 0.0676404447613528, 0.11038508073085852, -0.028810888481703364, -0.020683443306812217, -0.04295633375711207, -0.07276521781772144, 0.025773410175003977, 0.19909228467925763, 0.08554445976984598, 0.15707647785755052, -0.38446087976141524, -0.23084758269223607, 0.11401813126368714, 0.17071342134537795, 0.16234612064519233, -0.007593311026409667, -0.3079828813428148, 0.07861091286758892, -0.1374078940785867, -0.206491671491503, -0.06157407491645288, 0.06636809383053333, -0.19878441117872994, -0.2386990891037775, 0.1262477800973145, 0.0611738821358553, 0.051067962823990024, -0.054473065017234715, -0.04810791162474613, -0.0929138620780404, 0.035370360432785845, 0.19982701843227482, 0.07852038694199152, 0.13018369316844092, -0.1483417296687895, -0.1177470849222681, 0.3996827585506253, -0.08252619748513791, -0.22848915074358783, 0.17977295864312465, -0.20585816869251652, -0.14621015511026295, 0.16365817428422383, 0.09247499953268007, 0.12164477788887564, -0.12466778349508309, 0.22593596896261997, 0.016175907892396764, 0.11782219687579311, 0.1573988442278711, 0.08111922515949811, 0.2538487570903574, 0.08288621954714126, 0.04219669717020311, 0.10988891161451604, -0.03260537475025991, -0.1186740290196169, -0.4189605951043112, -0.12498970058818702, -0.08047250580455598, 0.08786481080737542, -0.13461156720482645, -0.1327181624037621, 0.3402325184738618, 0.08890167476160318, 0.17524224288284868, 0.04621320883771183, 0.2077872947556898, 0.09539641549123362, 0.13423811461377358, 0.08878104426548816, 0.31600355000080615, 0.14442590277411954, 0.09496466357432794, -0.2497948026021255, -0.09138819518765169, 0.09483702951166335] |
709.1674 | Matrix-Lifting Semi-Definite Programming for Decoding in Multiple
Antenna Systems | This paper presents a computationally efficient decoder for multiple antenna
systems. The proposed algorithm can be used for any constellation (QAM or PSK)
and any labeling method. The decoder is based on matrix-lifting Semi-Definite
Programming (SDP). The strength of the proposed method lies in a new relaxation
algorithm applied to the method of Mobasher et al. This results in a reduction
of the number of variables from $(NK+1)^2$ to $(2N+K)^2$, where $N$ is the
number of antennas and $K$ is the number of constellation points in each real
dimension. Since the computational complexity of solving SDP is a polynomial
function of the number of variables, we have a significant complexity
reduction. Moreover, the proposed method offers a better performance as
compared to the best quasi-maximum likelihood decoding methods reported in the
literature.
| cs.IT math.IT | this paper presents a computationally efficient decoder for multiple antenna systems the proposed algorithm can be used for any constellation qam or psk and any labeling method the decoder is based on matrixlifting semidefinite programming sdp the strength of the proposed method lies in a new relaxation algorithm applied to the method of mobasher et al this results in a reduction of the number of variables from nk12 to 2nk2 where n is the number of antennas and k is the number of constellation points in each real dimension since the computational complexity of solving sdp is a polynomial function of the number of variables we have a significant complexity reduction moreover the proposed method offers a better performance as compared to the best quasimaximum likelihood decoding methods reported in the literature | [['this', 'paper', 'presents', 'a', 'computationally', 'efficient', 'decoder', 'for', 'multiple', 'antenna', 'systems', 'the', 'proposed', 'algorithm', 'can', 'be', 'used', 'for', 'any', 'constellation', 'qam', 'or', 'psk', 'and', 'any', 'labeling', 'method', 'the', 'decoder', 'is', 'based', 'on', 'matrixlifting', 'semidefinite', 'programming', 'sdp', 'the', 'strength', 'of', 'the', 'proposed', 'method', 'lies', 'in', 'a', 'new', 'relaxation', 'algorithm', 'applied', 'to', 'the', 'method', 'of', 'mobasher', 'et', 'al', 'this', 'results', 'in', 'a', 'reduction', 'of', 'the', 'number', 'of', 'variables', 'from', 'nk12', 'to', '2nk2', 'where', 'n', 'is', 'the', 'number', 'of', 'antennas', 'and', 'k', 'is', 'the', 'number', 'of', 'constellation', 'points', 'in', 'each', 'real', 'dimension', 'since', 'the', 'computational', 'complexity', 'of', 'solving', 'sdp', 'is', 'a', 'polynomial', 'function', 'of', 'the', 'number', 'of', 'variables', 'we', 'have', 'a', 'significant', 'complexity', 'reduction', 'moreover', 'the', 'proposed', 'method', 'offers', 'a', 'better', 'performance', 'as', 'compared', 'to', 'the', 'best', 'quasimaximum', 'likelihood', 'decoding', 'methods', 'reported', 'in', 'the', 'literature']] | [-0.1513923132636895, -0.031113490254166678, -0.09181758837605064, 0.018955951863476497, -0.08475848252772156, -0.16481500011727665, 0.0965395288931728, 0.3480787695822955, -0.24391863272864034, -0.3394795940292886, 0.08178319001683232, -0.22640666738152504, -0.21249981269339155, 0.2257488441043251, -0.10994525397704406, 0.10657137630606127, 0.03938534334619445, 0.0326547227644672, -0.08929899362953041, -0.33916158876099595, 0.225336047591444, 0.0777575137820377, 0.26207021042478806, -0.014831873142887189, 0.11051233146413737, 0.0017523094341441085, 0.01376648283930439, 0.029293026965619487, -0.05614356633635576, 0.12047409824850602, 0.2983919077016639, 0.23215810428761566, 0.2996912789389943, -0.3466272235840954, -0.1866241496719533, 0.11557111031707433, 0.15608803232228666, 0.12806505289556686, -0.031726007639945514, -0.23378343529784065, 0.10966128081605403, -0.15121986881378247, -0.02987781525448416, -0.03450037668826002, -0.007189875976605849, 0.015225952074009305, -0.3440062095495788, 0.025323343223355936, 0.04236309942930485, 0.04604174221524524, -0.020957649057505256, -0.20626597716049713, 0.055198320609192844, 0.054311470408168985, 0.01836549837114007, 0.0770450411770126, 0.04129469054609989, -0.0564635646861103, -0.1536212240656217, 0.3409515178981096, -0.012180756996244643, -0.23927944742062016, 0.16831592164729073, -0.08623133117869271, -0.11714084750873911, 0.1863319497894157, 0.2267328167023758, 0.14329723256047477, -0.10214795305386581, 0.10976958792624911, -0.06263382006154368, 0.21468941548444104, 0.059377880146106087, 0.01757292669605125, 0.09707471965212432, 0.21655294977156728, 0.11058111956067891, 0.17096547309792545, -0.1181701769431432, -0.048218758599074193, -0.23183358653676062, -0.16588745416833484, -0.28391999717463146, -0.05082759209449939, -0.14056795337003705, -0.13089736396884263, 0.38743537009665463, 0.17527949462722367, 0.16623820048390012, 0.11350943144432014, 0.3543265288639249, 0.1163337084140177, 0.07300456443265306, 0.1326805242958168, 0.16802833852742685, 0.12496606601493884, 0.06422432966064662, -0.2522214502219647, 0.08215143276505511, 0.10141725831481656] |
709.1675 | Indirect control of the asymptotic states of a quantum dynamical
semigroup | In the dynamics of open quantum systems, the interaction with the external
environment usually leads to a contraction of the set of reachable states for
the system as time increases, eventually shrinking to a single stationary
point. In this contribution we describe to what extent it is possible to modify
this asymptotic state by means of indirect control, that is by using an
auxiliary system coupled to the target system in order to affect its dynamics,
when there is a purely dissipative coupling between the two systems. We prove
that, also in this restrictive case, it is possible to modify the asymptotic
state of the relevant system, give necessary conditions for that and provide
physical examples. Therefore, in indirect control schemes, the environmental
action has not only a negative impact on the dynamics of a system, it is rather
possible to make use of it for control purposes.
| quant-ph | in the dynamics of open quantum systems the interaction with the external environment usually leads to a contraction of the set of reachable states for the system as time increases eventually shrinking to a single stationary point in this contribution we describe to what extent it is possible to modify this asymptotic state by means of indirect control that is by using an auxiliary system coupled to the target system in order to affect its dynamics when there is a purely dissipative coupling between the two systems we prove that also in this restrictive case it is possible to modify the asymptotic state of the relevant system give necessary conditions for that and provide physical examples therefore in indirect control schemes the environmental action has not only a negative impact on the dynamics of a system it is rather possible to make use of it for control purposes | [['in', 'the', 'dynamics', 'of', 'open', 'quantum', 'systems', 'the', 'interaction', 'with', 'the', 'external', 'environment', 'usually', 'leads', 'to', 'a', 'contraction', 'of', 'the', 'set', 'of', 'reachable', 'states', 'for', 'the', 'system', 'as', 'time', 'increases', 'eventually', 'shrinking', 'to', 'a', 'single', 'stationary', 'point', 'in', 'this', 'contribution', 'we', 'describe', 'to', 'what', 'extent', 'it', 'is', 'possible', 'to', 'modify', 'this', 'asymptotic', 'state', 'by', 'means', 'of', 'indirect', 'control', 'that', 'is', 'by', 'using', 'an', 'auxiliary', 'system', 'coupled', 'to', 'the', 'target', 'system', 'in', 'order', 'to', 'affect', 'its', 'dynamics', 'when', 'there', 'is', 'a', 'purely', 'dissipative', 'coupling', 'between', 'the', 'two', 'systems', 'we', 'prove', 'that', 'also', 'in', 'this', 'restrictive', 'case', 'it', 'is', 'possible', 'to', 'modify', 'the', 'asymptotic', 'state', 'of', 'the', 'relevant', 'system', 'give', 'necessary', 'conditions', 'for', 'that', 'and', 'provide', 'physical', 'examples', 'therefore', 'in', 'indirect', 'control', 'schemes', 'the', 'environmental', 'action', 'has', 'not', 'only', 'a', 'negative', 'impact', 'on', 'the', 'dynamics', 'of', 'a', 'system', 'it', 'is', 'rather', 'possible', 'to', 'make', 'use', 'of', 'it', 'for', 'control', 'purposes']] | [-0.13862495258945273, 0.11585974956737168, -0.10478804376278375, 0.05902685535634314, -0.05451184047253903, -0.13513338876057518, 0.07459470651795257, 0.35544013861894, -0.29533138649689183, -0.28299958009124937, 0.12001894764850747, -0.23899850209960966, -0.1440634765391666, 0.2029891241329244, -0.0402196459031689, 0.035621194514631596, 0.045840001181302895, 0.08417160020581906, -0.023135857612155756, -0.24039369014821746, 0.3585568252554465, 0.05791874745832379, 0.23897869046934805, 0.04887064247757096, 0.10315340508807551, -0.005362312606774975, 0.044320849935379436, 0.010695669284040058, -0.09868516730838982, 0.07540467665711657, 0.2158814234036883, 0.12068865089708739, 0.28287225896870166, -0.4201981140728536, -0.20732981615662072, 0.10207190371678539, 0.12181437893997173, 0.14876151981927152, -0.03241766808315407, -0.25571918710783076, 0.07664888290251051, -0.17311524896492325, -0.1641065669717972, -0.09972960001323372, 0.05279385880881769, -0.006185157419610265, -0.2705305946732846, 0.04531621053713418, 0.07531973313087144, 0.011513563175056432, -0.05774355141172261, -0.023446054530575418, -0.012863300619583979, 0.17444113971342212, 0.022660255502922007, 0.012302761534040139, 0.1204959507213553, -0.14312018056217632, -0.07450753079752463, 0.3785793565440218, -0.054107490240287895, -0.26182400807738304, 0.2449186075592061, -0.11085496439183182, -0.10295304344165472, 0.12075298863802911, 0.17437592181817604, 0.11203554083240798, -0.1644130856027029, 0.06879889483624956, -0.008424487238674349, 0.17691449505435083, -0.0032248829658193564, 0.058899279196142545, 0.17968913299940853, 0.1867510215992838, 0.12984331925022038, 0.1733150182707185, -0.012273261063996501, -0.12681945819978765, -0.3154747015859529, -0.15133944386301712, -0.15241108629600825, 0.07428276806141995, -0.017032324521219503, -0.1598642377459721, 0.37819248970560226, 0.22089666742957323, 0.18525459497971963, -0.017278906744527252, 0.3025632772179371, 0.1278461418882511, 0.05020837658210783, 0.03606816854743237, 0.2839321334078606, 0.09855113259982318, 0.08316248310478153, -0.24956383036978141, 0.09349983952297652, 0.01560349710524787] |
709.1676 | What is a metric space? | The question in the title is discussed briefly, with emphasis on a few basic
examples and their properties.
| math.MG | the question in the title is discussed briefly with emphasis on a few basic examples and their properties | [['the', 'question', 'in', 'the', 'title', 'is', 'discussed', 'briefly', 'with', 'emphasis', 'on', 'a', 'few', 'basic', 'examples', 'and', 'their', 'properties']] | [-0.09521752637293604, 0.09977903760348757, 0.053325491233004466, 0.15275396642714945, -0.09165920969098806, -0.09806417547062868, 0.027324038816408977, 0.42366767343547607, -0.263085529829065, -0.27044113125238156, 0.22857732110423967, -0.3056031266330845, -0.1975731949528886, 0.27360976034671897, -0.09478607116681007, 0.026464375460313425, 0.03156491358660989, 0.17261551382640997, -0.08601885821877255, -0.3483117168976201, 0.4013021491054032, 0.11620596788513164, 0.22316314321425226, 0.12726119727206728, 0.048052461714380316, -0.03817856699849168, -0.12029569120042855, 0.0016672774735424253, -0.18434948965700138, 0.1242955996034046, 0.2037317051241795, 0.11814214586694208, 0.30095108184549546, -0.415419634949002, -0.1490779333592703, -0.06479508471157816, 0.024099317482776113, 0.08561556781609801, -0.14313659587383476, -0.26178362153263557, 0.05956468922603461, -0.12131133116781712, -0.16191504338187063, -0.035392281961523823, 0.050961415386862226, 0.1107823657285836, -0.023389618740313582, -0.03621953110107117, 0.1322176962470015, 0.11415519285947084, -0.032259857508405626, -0.1814908719000717, 0.05359105889995893, 0.060299966044517025, 0.0929723366862163, -0.05145925764615337, 0.11225252122514778, -0.15478910591142872, -0.09580342512991694, 0.4647634236349, 0.0031825011182162496, -0.2477843704012533, 0.23001590283173654, -0.10947587700664169, -0.20409538208817443, -0.018784251710813906, 0.12178310275905663, 0.11596737046622568, -0.14782477842850816, 0.12013845797304788, -0.07619242370128632, 0.0934368905921777, 0.024910267856385972, 0.10512378201302555, 0.2054793800537785, 0.24677773494557995, -0.12064388994541433, 0.15323081819547546, 0.038000059792668454, -0.11595652593920629, -0.35529530151850647, -0.12190485662884182, -0.13511428547402224, 0.020036730553126998, 0.02247350406913837, -0.0770370620302856, 0.4733266342017386, 0.14585553228648174, 0.28901816583755946, -0.0681916237808764, 0.2406590288091037, 0.05425035586166713, -0.05692370009556827, -0.0027551676094945935, 0.22127305902540684, 0.187653503794637, 0.13166600758106345, -0.14516864905858207, 0.050506642579825387, 0.09703617464078383] |
709.1677 | A remark on Frobenius descent for vector bundles | We give a class of examples of vector bundles on a relative smooth projective
curve over Spec Z such that for infinitely many prime reductions the bundle has
a Frobenius descent, but the restriction to the generic fiber in characteristic
zero is not semistable. In the third section of the paper we prove for a large
class of varieties (including abelian varieties) that any vector bundle with
this Frobenius descent property is generically semistable.
| math.AG math.AC | we give a class of examples of vector bundles on a relative smooth projective curve over spec z such that for infinitely many prime reductions the bundle has a frobenius descent but the restriction to the generic fiber in characteristic zero is not semistable in the third section of the paper we prove for a large class of varieties including abelian varieties that any vector bundle with this frobenius descent property is generically semistable | [['we', 'give', 'a', 'class', 'of', 'examples', 'of', 'vector', 'bundles', 'on', 'a', 'relative', 'smooth', 'projective', 'curve', 'over', 'spec', 'z', 'such', 'that', 'for', 'infinitely', 'many', 'prime', 'reductions', 'the', 'bundle', 'has', 'a', 'frobenius', 'descent', 'but', 'the', 'restriction', 'to', 'the', 'generic', 'fiber', 'in', 'characteristic', 'zero', 'is', 'not', 'semistable', 'in', 'the', 'third', 'section', 'of', 'the', 'paper', 'we', 'prove', 'for', 'a', 'large', 'class', 'of', 'varieties', 'including', 'abelian', 'varieties', 'that', 'any', 'vector', 'bundle', 'with', 'this', 'frobenius', 'descent', 'property', 'is', 'generically', 'semistable']] | [-0.22250078751617489, 0.03534943421254866, -0.10801490371090335, 0.04605709058641632, -0.11287647737441836, -0.1871844260651316, -0.05435689489476735, 0.35650996308824096, -0.346574123420224, -0.13940311255990653, 0.09023936067997301, -0.19952169474768075, -0.1398737988862637, 0.2531844560006583, -0.18440201875401308, 0.0024517546816905204, 0.06666098690805705, 0.11432281101273524, -0.1015996288011052, -0.35436533490114064, 0.46964342615290267, -0.079900642598954, 0.2618668810527369, 0.04987229797611567, 0.1796152874626018, 0.031189482353904563, 0.03980598584245387, -0.01888042236552448, -0.08832171084331758, 0.1350251157717729, 0.34358433923507864, 0.06908326422657214, 0.23074278144820318, -0.3069906408923703, -0.1433778260771588, 0.3416876265074353, 0.12022282513538124, 0.055457868449691985, -0.022778077955622023, -0.1852551230128754, 0.16646371739035523, -0.17218987686509216, -0.1542717455508741, -0.105871967744787, 0.07812832277016463, 0.07197541910903277, -0.23082707401339872, -0.08924104032937337, 0.14053194274281458, 0.1894184403448693, -0.04683859209920204, -0.07758955832419766, -0.0750369673494149, -0.047525770175648296, 0.05362934161078285, 0.05874032110000986, 0.11236850304428388, -0.12594316428766358, -0.09738731068540113, 0.36390052855367194, -0.13673289871548075, -0.23378817346953862, 0.1079105842116012, -0.13480255360136162, -0.16000818215763649, 0.20284664671163302, 0.13523830542642926, 0.1844009279330085, 0.056449678650981674, 0.1906264106038253, -0.16377457133116755, 0.07267359515803086, 0.03794281420021041, -0.03523883886786329, 0.12554299901868846, 0.08019885206846772, 0.09719935248250368, 0.08070710227145134, -0.07390167353662185, -0.052035256641338, -0.4265752563983001, -0.25647185308657383, -0.06692044648367006, 0.19721500047288262, -0.10146330320905592, -0.19187302631011383, 0.43123235354653083, 0.03167361044954207, 0.27408354643832994, 0.174492395243834, 0.24032142221600422, 0.027221038736988213, 0.09965323997233566, 0.038075162362105945, 0.18724523183285585, 0.21507395115504796, -0.03523726242978277, -0.08690059189118345, -0.029712121449159207, 0.17450434886347] |
709.1678 | Asymptotic integration and dispersion for hyperbolic equations | The aim of this paper is to establish time decay properties and dispersive
estimates for strictly hyperbolic equations with homogeneous symbols and with
time-dependent coefficients whose derivatives are integrable. For this purpose,
the method of asymptotic integration is developed for such equations and
representation formulae for solutions are obtained. These formulae are analysed
further to obtain time decay of Lp-Lq norms of propagators for the
corresponding Cauchy problems. It turns out that the decay rates can be
expressed in terms of certain geometric indices of the limiting equation and we
carry out the thorough analysis of this relation. This provides a comprehensive
view on asymptotic properties of solutions to time-perturbations of hyperbolic
equations with constant coefficients. Moreover, we also obtain the time decay
rate of the Lp-Lq estimates for equations of these kinds, so the time
well-posedness of the corresponding nonlinear equations with additional
semilinearity can be treated by standard Strichartz estimates.
| math.AP math.FA | the aim of this paper is to establish time decay properties and dispersive estimates for strictly hyperbolic equations with homogeneous symbols and with timedependent coefficients whose derivatives are integrable for this purpose the method of asymptotic integration is developed for such equations and representation formulae for solutions are obtained these formulae are analysed further to obtain time decay of lplq norms of propagators for the corresponding cauchy problems it turns out that the decay rates can be expressed in terms of certain geometric indices of the limiting equation and we carry out the thorough analysis of this relation this provides a comprehensive view on asymptotic properties of solutions to timeperturbations of hyperbolic equations with constant coefficients moreover we also obtain the time decay rate of the lplq estimates for equations of these kinds so the time wellposedness of the corresponding nonlinear equations with additional semilinearity can be treated by standard strichartz estimates | [['the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'establish', 'time', 'decay', 'properties', 'and', 'dispersive', 'estimates', 'for', 'strictly', 'hyperbolic', 'equations', 'with', 'homogeneous', 'symbols', 'and', 'with', 'timedependent', 'coefficients', 'whose', 'derivatives', 'are', 'integrable', 'for', 'this', 'purpose', 'the', 'method', 'of', 'asymptotic', 'integration', 'is', 'developed', 'for', 'such', 'equations', 'and', 'representation', 'formulae', 'for', 'solutions', 'are', 'obtained', 'these', 'formulae', 'are', 'analysed', 'further', 'to', 'obtain', 'time', 'decay', 'of', 'lplq', 'norms', 'of', 'propagators', 'for', 'the', 'corresponding', 'cauchy', 'problems', 'it', 'turns', 'out', 'that', 'the', 'decay', 'rates', 'can', 'be', 'expressed', 'in', 'terms', 'of', 'certain', 'geometric', 'indices', 'of', 'the', 'limiting', 'equation', 'and', 'we', 'carry', 'out', 'the', 'thorough', 'analysis', 'of', 'this', 'relation', 'this', 'provides', 'a', 'comprehensive', 'view', 'on', 'asymptotic', 'properties', 'of', 'solutions', 'to', 'timeperturbations', 'of', 'hyperbolic', 'equations', 'with', 'constant', 'coefficients', 'moreover', 'we', 'also', 'obtain', 'the', 'time', 'decay', 'rate', 'of', 'the', 'lplq', 'estimates', 'for', 'equations', 'of', 'these', 'kinds', 'so', 'the', 'time', 'wellposedness', 'of', 'the', 'corresponding', 'nonlinear', 'equations', 'with', 'additional', 'semilinearity', 'can', 'be', 'treated', 'by', 'standard', 'strichartz', 'estimates']] | [-0.11479565039252405, 0.07144467229848891, -0.10658124160169569, 0.08662424612148906, -0.07736849248261246, -0.09650708391756707, -0.0009207005307251057, 0.3123276574623506, -0.2753011020800925, -0.24439084367049452, 0.1642101044166796, -0.2828026565827972, -0.11721424208892299, 0.2302044364650709, -0.0064373911336829135, 0.11446544610654676, 0.06971313418521367, 0.031014505530158613, -0.13496359276958428, -0.2468008835682806, 0.32942838749897646, 0.001591454204541958, 0.21728496894314392, 0.030575948851398926, 0.09649432155716893, -0.027003770879167596, -0.08176573237330215, -0.01843373936952542, -0.22171510117837198, 0.12052047092294851, 0.2496723750488993, 0.07366320784111192, 0.241484438084584, -0.4220404265238749, -0.18945130928949952, 0.11741011546591655, 0.170462519938854, 0.08115945799609288, -0.014985914481649583, -0.29599632586919955, 0.10156790312650978, -0.08936510733421275, -0.21691527211150488, -0.13163745122659481, 0.0019476335520381169, 0.10321977456710887, -0.31109058267640455, 0.13967952353818902, 0.058464510522055015, 0.019953936030039723, -0.1450151002916526, -0.09849383812459396, 0.021879648128277716, 0.11427625876524491, 0.10921811840546299, -0.065173957404366, 0.018162195943912725, -0.09320738302414237, -0.062378435753384566, 0.34015291405607334, -0.09418583435580036, -0.298603535279792, 0.13003628314333962, -0.1406672016628062, -0.09970042889703386, 0.1271703015852547, 0.1728161952153021, 0.1654731747848506, -0.18763647654050628, 0.11381685702494093, -0.029003104487964452, 0.1317318030047101, 0.08911112535263825, 0.08106620648539693, 0.10146763212732132, 0.09665917911696316, 0.07063266109761517, 0.1400201910850746, -0.0005117716307795008, -0.10394335275404895, -0.3726698209019686, -0.17763790969015253, -0.10325516501305909, 0.1114915429825728, -0.1329859584837455, -0.17755973578387538, 0.3872779258681054, 0.11103566169171342, 0.14045179537836686, 0.13124850530652268, 0.23519677843972547, 0.2417445843522776, 0.03338323468928355, 0.05648525520258688, 0.21955396034538943, 0.16894539235936884, 0.11249096266557586, -0.20347960610312738, 0.0488965074633501, 0.17216489239540322] |
709.1679 | The extremal values of the Wiener index of a tree with given degree
sequence | The Wiener index of a graph is the sum of the distances between all pairs of
vertices, it has been one of the main descriptors that correlate achemical
compound's molecular graph with experimentally gathered data regarding the
compound's characteristics. The tree that minimizes the Wiener index among
trees of given maximal degree was studied. We characterize trees that achieve
the maximum and minimum Wiener index, given the number of vertices and the
degree sequence.
| math.CO | the wiener index of a graph is the sum of the distances between all pairs of vertices it has been one of the main descriptors that correlate achemical compounds molecular graph with experimentally gathered data regarding the compounds characteristics the tree that minimizes the wiener index among trees of given maximal degree was studied we characterize trees that achieve the maximum and minimum wiener index given the number of vertices and the degree sequence | [['the', 'wiener', 'index', 'of', 'a', 'graph', 'is', 'the', 'sum', 'of', 'the', 'distances', 'between', 'all', 'pairs', 'of', 'vertices', 'it', 'has', 'been', 'one', 'of', 'the', 'main', 'descriptors', 'that', 'correlate', 'achemical', 'compounds', 'molecular', 'graph', 'with', 'experimentally', 'gathered', 'data', 'regarding', 'the', 'compounds', 'characteristics', 'the', 'tree', 'that', 'minimizes', 'the', 'wiener', 'index', 'among', 'trees', 'of', 'given', 'maximal', 'degree', 'was', 'studied', 'we', 'characterize', 'trees', 'that', 'achieve', 'the', 'maximum', 'and', 'minimum', 'wiener', 'index', 'given', 'the', 'number', 'of', 'vertices', 'and', 'the', 'degree', 'sequence']] | [-0.1477680938216309, 0.1397603751759823, -0.06837127055360438, 0.042436290393608994, -0.07588266208129998, -0.07439915030199575, 0.0797406949680171, 0.3938747662381103, -0.2892241197804066, -0.31825138026312605, 0.04986883981523346, -0.3585972336618459, -0.18696339550900132, 0.12169586937262179, -0.07473476273199059, 0.043478372259614095, 0.08360022381713537, 0.10851735532385846, 0.017639153557255455, -0.2869278045462074, 0.305019490854585, 0.04076212647128595, 0.255910904057426, 0.032128061276337466, 0.1413208341484328, 0.0017937493625364892, -0.054302877258534915, 0.04004591893506785, -0.16674006550263037, 0.12482535324939718, 0.23856968131579764, 0.17312461049423541, 0.21440780443483837, -0.3088683788728428, -0.20426017132728067, 0.2179110921338864, 0.06325227272703172, -0.012917709370998487, 0.032287136842943216, -0.1810394347428459, 0.1780962258488042, -0.09062962590163408, -0.08507332061608769, 0.042582936269192864, 0.08311428323273279, 0.07039497944539132, -0.25491572286270253, 0.026143541144947074, 0.038962197400731584, 0.069479484570353, 0.015492997926417482, -0.19743973161540415, -0.11956213830574734, 0.1712934763955386, -0.006190913987715971, 0.028516327145777336, 0.060446781406102525, -0.08300682173544312, -0.20146367564950496, 0.3397849995438775, -0.03033582138675839, -0.13666110335249607, 0.14835008658621818, -0.1585598484970221, -0.1277582980564808, 0.1162147363456451, 0.1275564934420463, 0.10559877018405966, -0.15617397312738307, 0.07817769715122318, -0.0703544142362598, 0.17124680506244097, 0.15673215942431803, 0.061899232225211924, 0.14440047110698812, 0.15073973234513238, 0.13090584647828993, 0.18193220328029297, -0.07963561828643696, -0.037104158285903195, -0.22706729312720772, -0.15491130040346146, -0.28572545791433945, -0.03420588463761729, -0.23562831415002208, -0.2023419791781535, 0.4415819470910993, 0.1087601535813245, 0.19344979225440997, 0.07684287456923151, 0.21907568678310882, 0.1052469920162877, 0.06113425081544747, 0.11182162430367037, 0.16437063319289624, 0.20086242892613557, 0.002541867977850241, -0.18207935449884158, 0.12453598446812328, 0.117381766617094] |
709.168 | Towards new background independent representations for Loop Quantum
Gravity | Recently, uniqueness theorems were constructed for the representation used in
Loop Quantum Gravity. We explore the existence of alternate representations by
weakening the assumptions of the so called LOST uniqueness theorem. The
weakened assumptions seem physically reasonable and retain the key requirement
of explicit background independence. For simplicity, we restrict attention to
the case of gauge group U(1).
| gr-qc | recently uniqueness theorems were constructed for the representation used in loop quantum gravity we explore the existence of alternate representations by weakening the assumptions of the so called lost uniqueness theorem the weakened assumptions seem physically reasonable and retain the key requirement of explicit background independence for simplicity we restrict attention to the case of gauge group u1 | [['recently', 'uniqueness', 'theorems', 'were', 'constructed', 'for', 'the', 'representation', 'used', 'in', 'loop', 'quantum', 'gravity', 'we', 'explore', 'the', 'existence', 'of', 'alternate', 'representations', 'by', 'weakening', 'the', 'assumptions', 'of', 'the', 'so', 'called', 'lost', 'uniqueness', 'theorem', 'the', 'weakened', 'assumptions', 'seem', 'physically', 'reasonable', 'and', 'retain', 'the', 'key', 'requirement', 'of', 'explicit', 'background', 'independence', 'for', 'simplicity', 'we', 'restrict', 'attention', 'to', 'the', 'case', 'of', 'gauge', 'group', 'u1']] | [-0.1267830497135633, 0.09752308700137355, -0.10664381978005685, 0.15491235484208526, -0.14653706425351315, -0.15593703165008077, 0.05148372800061319, 0.3257904801967329, -0.22372915931367154, -0.2732157299038151, 0.10522780903607029, -0.17131240049714286, -0.10084932366514514, 0.1166772481921161, -0.11474812743735724, 0.042623951356729556, 0.03155433569617312, 0.0492411877414019, -0.11469224601149045, -0.2670427156162673, 0.3370667138169038, 0.03079336064923876, 0.28865465839746696, 0.056793485752082075, 0.1416536544545971, 0.04555019133338897, -0.054042087147285325, -0.04766869715190139, -0.15737698108343215, 0.12092847529405343, 0.19545690791585066, 0.11221520200468085, 0.25716813743226874, -0.4628051633721796, -0.225087096240243, 0.15552545165048975, 0.078989886775099, 0.10430666947223503, -0.05296325547106821, -0.3151066786216187, 0.13508720296948892, -0.16097869846070634, -0.20196123591600115, -0.13670002268868145, -0.017118334577515208, -0.0343717355923406, -0.23914544955538264, 0.07446074708975081, 0.16222268680174803, 0.05439777753781527, -0.0598347064163857, -0.058113786086825464, -0.0401088390419067, 0.11040541031879597, 0.11699468762902863, -0.03237492408892461, 0.10288379936286345, -0.16923270572843993, -0.07618687921685391, 0.3635827595496486, -0.046106816060712624, -0.238322085524299, 0.1873360677774803, -0.09634245539401208, -0.23643124611759236, 0.09177697570352204, 0.0722046925140352, 0.08014857213430364, -0.1218085995200893, 0.17488443074197957, -0.08662459027857103, 0.10167224369421281, 0.12963878227084683, 0.09371046653190017, 0.1713252946541741, 0.06425956488940222, 0.05212807778172709, 0.1537212538934345, 0.02234372618640291, -0.10829483136406233, -0.37571560861221676, -0.13668493094105386, -0.1198734928942125, 0.0877936001032077, -0.10504970368944261, -0.11594428298673753, 0.3374637597208393, 0.2103798661204376, 0.1278522281971728, 0.06566357139722798, 0.2016451127570251, 0.09111992590900125, 0.07213568082079291, 0.0420515856480804, 0.27638139482587576, 0.24484554165171396, 0.05319699944912231, -0.1689676758602406, 0.07236515781601313, 0.15274649063639087] |
709.1681 | Fractional dynamical systems and applications in mechanics and economics | Using the fractional integration and differentiation on R we build the
fractional jet fibre bundle on a differentiable manifold and we emphasize some
important geometrical objects. Euler-Lagrange fractional equations are
described. Some significant examples from mechanics and economics are
presented.
| math.DS math.DG | using the fractional integration and differentiation on r we build the fractional jet fibre bundle on a differentiable manifold and we emphasize some important geometrical objects eulerlagrange fractional equations are described some significant examples from mechanics and economics are presented | [['using', 'the', 'fractional', 'integration', 'and', 'differentiation', 'on', 'r', 'we', 'build', 'the', 'fractional', 'jet', 'fibre', 'bundle', 'on', 'a', 'differentiable', 'manifold', 'and', 'we', 'emphasize', 'some', 'important', 'geometrical', 'objects', 'eulerlagrange', 'fractional', 'equations', 'are', 'described', 'some', 'significant', 'examples', 'from', 'mechanics', 'and', 'economics', 'are', 'presented']] | [-0.1313202324556187, 0.004845837666653097, -0.060610773239750414, 0.12554587854538113, -0.1679100416833535, -0.1395031624357216, -0.061774570366833356, 0.40321921748109163, -0.2769358734134585, -0.2672248930670321, 0.17202126083429903, -0.2655876215576427, -0.21163988253101707, 0.21808297075331212, -0.1740582252619788, 0.07681102571659722, 0.03473951579071581, -0.02457115293946117, -0.07706188407028094, -0.16786200433562043, 0.3734788650646806, -0.05750398258678615, 0.15694100437685848, 0.019945643551182002, 0.20562345325015485, -0.05833688888233155, -0.11794348889961839, 0.03486979231238365, -0.2030753140687011, 0.15399553433526308, 0.24198009322280994, 0.043569305050186816, 0.26647224398329855, -0.4466338369762525, -0.2146581701701507, 0.055235221015755086, 0.08187717737164349, 0.007654662593267858, -0.01864410555572249, -0.325081578688696, 0.010556546214502305, -0.13080903205554933, -0.11176719469949603, -0.14710208149626852, 0.04978610781254247, 0.08146735251648352, -0.15858996290480717, 0.03700602296739817, 0.0404497143579647, 0.09852856048382819, -0.09706282183178701, -0.16853458362165838, -0.07691631149500608, 0.02787947884062305, -0.000567594199674204, 0.010883016127627343, 0.196285276976414, -0.09656334891915322, -0.14963652663864196, 0.3746702987700701, -0.02777125281281769, -0.31809702557511627, 0.15627440195530654, -0.12869753297418357, -0.19173543161014095, 0.10593330562114715, 0.16970319238025694, 0.13685640450567008, -0.09364341634791344, 0.08767361875670758, -0.0016762627172283828, 0.10637396555393934, 0.06468890171963722, 0.0259121686918661, 0.14015578543767332, 0.15002055368386208, 0.049747886892873794, 0.07987124375067652, -0.029104252229444683, -0.20665365187451243, -0.44765149503946305, -0.229709868459031, -0.13976789298467338, 0.1188696836354211, -0.14197254836217327, -0.09313654033467174, 0.345003782492131, 0.10194942951202393, 0.1460355324205011, 0.049141801334917544, 0.221968052117154, 0.17156200237805025, 0.01959087138529867, 0.06108831847086549, 0.19091187299491139, 0.18586433955933898, 0.156575303489808, -0.1372854818298947, -0.03832570598460734, 0.11928955886978657] |
709.1682 | Quantum risk-sensitive estimation and robustness | This paper studies a quantum risk-sensitive estimation problem and
investigates robustness properties of the filter. This is a direct extension to
the quantum case of analogous classical results. All investigations are based
on a discrete approximation model of the quantum system under consideration.
This allows us to study the problem in a simple mathematical setting. We close
the paper with some examples that demonstrate the robustness of the
risk-sensitive estimator.
| quant-ph | this paper studies a quantum risksensitive estimation problem and investigates robustness properties of the filter this is a direct extension to the quantum case of analogous classical results all investigations are based on a discrete approximation model of the quantum system under consideration this allows us to study the problem in a simple mathematical setting we close the paper with some examples that demonstrate the robustness of the risksensitive estimator | [['this', 'paper', 'studies', 'a', 'quantum', 'risksensitive', 'estimation', 'problem', 'and', 'investigates', 'robustness', 'properties', 'of', 'the', 'filter', 'this', 'is', 'a', 'direct', 'extension', 'to', 'the', 'quantum', 'case', 'of', 'analogous', 'classical', 'results', 'all', 'investigations', 'are', 'based', 'on', 'a', 'discrete', 'approximation', 'model', 'of', 'the', 'quantum', 'system', 'under', 'consideration', 'this', 'allows', 'us', 'to', 'study', 'the', 'problem', 'in', 'a', 'simple', 'mathematical', 'setting', 'we', 'close', 'the', 'paper', 'with', 'some', 'examples', 'that', 'demonstrate', 'the', 'robustness', 'of', 'the', 'risksensitive', 'estimator']] | [-0.10096823514572212, -0.005324495404160448, -0.11196470305855785, 0.05935311574389094, -0.07803097330699009, -0.11388153715192208, 0.0668709528565939, 0.34289781069383024, -0.2621235514325755, -0.2540722382121852, 0.12403020014587257, -0.2460474335519913, -0.25242900767230564, 0.22596437963324467, -0.14096977537431354, 0.11671972119116357, 0.08108171203306742, 0.029977317430478122, -0.08589448865968734, -0.2444392825077687, 0.3030590560852683, 0.06291519724265007, 0.3079448092196669, 0.04064271157507652, 0.09390007306688598, 0.0374305543988677, -0.0028630774069045273, 0.03524293890222907, -0.176761078279586, 0.15098460851882659, 0.2251042127742299, 0.094718209680702, 0.3785076671413013, -0.35665012429069193, -0.22269958631534661, 0.13619025460045253, 0.08103129571702863, 0.15460547075739928, -0.04305126018589363, -0.2867388740813892, 0.0981998669515763, -0.17888157249960515, -0.12140004958159158, -0.049954464832054714, -0.0897472694782274, -0.017530274740420283, -0.292981078874852, 0.03656683455753539, 0.12530503658843892, 0.03266034421644041, -0.084196092455282, -0.04464798405201041, 0.11920287225927625, 0.09231109736221177, 0.03769585028057918, -0.046369082969613375, 0.09210232361219824, -0.09908172660174647, -0.16343957467802933, 0.38875807161842074, -0.02551802934613079, -0.24555041177996567, 0.20512626174105597, -0.0947398360153394, -0.15231239785706358, 0.04485760146885046, 0.2011256892101041, 0.13419492840766906, -0.16012349938973786, 0.13133001831676147, -0.11871487280087811, 0.12176117774631295, -0.020772151974961163, 0.04894856236475919, 0.13695172239094972, 0.18205535244196652, 0.10156527829489538, 0.22444503536514407, -0.058802585860913886, -0.18607178010279313, -0.3244115208408662, -0.19194226906235728, -0.15200718284883935, 0.0433647421986929, -0.06302286292463707, -0.15367874656138675, 0.4416650638250368, 0.2215033694727546, 0.17579892012955886, 0.10175163805750864, 0.3271162855305842, 0.15056330105289817, -0.049362452487860406, 0.03947574560796576, 0.20591041723341083, 0.18310064393528072, 0.05868481596532677, -0.24881615993300718, 0.05662855992891959, 0.046161151880265344] |
709.1683 | Failure of the displaced-squeezed state for spin-boson models in the
thermodynamic limit | We present an analysis of a variational coherent-squeezed state that has been
discussed in the literature as a potential ground state for the spin-boson
model. We show that when the system-size scaling of the spin-bath coupling is
included properly, all squeezing effects and non-universal physics vanish in
the thermodynamic limit. We also present finite-size corrections to the
renormalisation of the spin's coherence, showing that squeezing effects are
also absent to leading order in the inverse bath-size.
| cond-mat.mes-hall | we present an analysis of a variational coherentsqueezed state that has been discussed in the literature as a potential ground state for the spinboson model we show that when the systemsize scaling of the spinbath coupling is included properly all squeezing effects and nonuniversal physics vanish in the thermodynamic limit we also present finitesize corrections to the renormalisation of the spins coherence showing that squeezing effects are also absent to leading order in the inverse bathsize | [['we', 'present', 'an', 'analysis', 'of', 'a', 'variational', 'coherentsqueezed', 'state', 'that', 'has', 'been', 'discussed', 'in', 'the', 'literature', 'as', 'a', 'potential', 'ground', 'state', 'for', 'the', 'spinboson', 'model', 'we', 'show', 'that', 'when', 'the', 'systemsize', 'scaling', 'of', 'the', 'spinbath', 'coupling', 'is', 'included', 'properly', 'all', 'squeezing', 'effects', 'and', 'nonuniversal', 'physics', 'vanish', 'in', 'the', 'thermodynamic', 'limit', 'we', 'also', 'present', 'finitesize', 'corrections', 'to', 'the', 'renormalisation', 'of', 'the', 'spins', 'coherence', 'showing', 'that', 'squeezing', 'effects', 'are', 'also', 'absent', 'to', 'leading', 'order', 'in', 'the', 'inverse', 'bathsize']] | [-0.11928440568347771, 0.18798296197802605, -0.10077972937064866, 0.10926384903024883, 0.0007775324645141761, -0.10295952362318833, 0.034389073047786954, 0.35372830179830395, -0.2301197801157832, -0.22507871783648928, 0.07773693156273415, -0.3077123753602306, -0.12180260744566719, 0.16642715949875614, 0.01870159205670158, 0.08620121219505866, 0.025978407450020315, 0.020013434489568074, -0.07709452254387239, -0.2146507366374135, 0.32864118489727845, 0.0326489139162004, 0.26674949504435064, 0.13116210187474886, 0.061031212223072846, -0.01825489692389965, 0.08129437307516733, 0.045985872310896715, -0.1472312802556553, 0.01338714656730493, 0.22366014655524244, 0.005780815714970231, 0.2411621153106292, -0.37994350589811804, -0.21951414039979378, 0.1001891029626131, 0.17409022662167747, 0.21131913270801306, -0.030608401025334995, -0.2774473134552439, 0.00010634896655877431, -0.22347794346511363, -0.12907492542018492, -0.1616540924894313, 0.018473743547995886, -0.034976470010975994, -0.2545967844935755, 0.1183955811887669, 0.08506413647904992, 0.02363110409428676, -0.028144908268004656, -0.11143205437925645, -0.01810438107854376, 0.14820185586072815, 0.0743875941215083, -0.020886782643695673, 0.11260644668713211, -0.1575891862871746, -0.10346511291339994, 0.3577578531205654, -0.0839537907158956, -0.19316863860934974, 0.1359369833394885, -0.16575256029143928, -0.1593146301868061, 0.06499995350837708, 0.12283344271282355, 0.06723382637447987, -0.1673192686442053, 0.12468109416387355, 0.002865853359301885, 0.1887201176583767, -0.02417476588860154, 0.08908402601256966, 0.1235552682975928, 0.1472761632098506, 0.03256227530539036, 0.20107871470972896, -0.09883924284018576, -0.1556746071887513, -0.3770554192985098, -0.1131332013507684, -0.19694473587131747, 0.06786168894575288, -0.07689899552594094, -0.1607743212580681, 0.38382681023562326, 0.23367427045479416, 0.16493345969667036, 0.029725634716451167, 0.2566428030406435, 0.1752470762267088, 0.06938743700583776, 0.05618460095021874, 0.32694179836660625, 0.1402448953750233, 0.06104763383045793, -0.32342596603867907, 0.01878016931936145, 0.0402072265651077] |
709.1684 | Thermal Charm Production in Quark-Gluon Plasma at LHC | Charm production from the quark-gluon plasma created in the midrapidity of
central heavy ion collisions at the Large Hadron Collider (LHC) is studied in
the next-to-leading order in QCD. Using a schematic longitudinally
boost-invariant and transversally expanding fire-cylinder model, we find that
charm production could be appreciably enhanced at LHC as a result of the high
temperature that is expected to be reached in the produced quark-gluon plasma.
Sensitivities of our results to the number of charm quark pairs produced from
initial hard scattering, the initial thermalization time and temperature of the
quark-gluon plasma, and the charm quark mass are also studied.
| nucl-th hep-ph | charm production from the quarkgluon plasma created in the midrapidity of central heavy ion collisions at the large hadron collider lhc is studied in the nexttoleading order in qcd using a schematic longitudinally boostinvariant and transversally expanding firecylinder model we find that charm production could be appreciably enhanced at lhc as a result of the high temperature that is expected to be reached in the produced quarkgluon plasma sensitivities of our results to the number of charm quark pairs produced from initial hard scattering the initial thermalization time and temperature of the quarkgluon plasma and the charm quark mass are also studied | [['charm', 'production', 'from', 'the', 'quarkgluon', 'plasma', 'created', 'in', 'the', 'midrapidity', 'of', 'central', 'heavy', 'ion', 'collisions', 'at', 'the', 'large', 'hadron', 'collider', 'lhc', 'is', 'studied', 'in', 'the', 'nexttoleading', 'order', 'in', 'qcd', 'using', 'a', 'schematic', 'longitudinally', 'boostinvariant', 'and', 'transversally', 'expanding', 'firecylinder', 'model', 'we', 'find', 'that', 'charm', 'production', 'could', 'be', 'appreciably', 'enhanced', 'at', 'lhc', 'as', 'a', 'result', 'of', 'the', 'high', 'temperature', 'that', 'is', 'expected', 'to', 'be', 'reached', 'in', 'the', 'produced', 'quarkgluon', 'plasma', 'sensitivities', 'of', 'our', 'results', 'to', 'the', 'number', 'of', 'charm', 'quark', 'pairs', 'produced', 'from', 'initial', 'hard', 'scattering', 'the', 'initial', 'thermalization', 'time', 'and', 'temperature', 'of', 'the', 'quarkgluon', 'plasma', 'and', 'the', 'charm', 'quark', 'mass', 'are', 'also', 'studied']] | [-0.01788485801944712, 0.35300697898492217, -0.16958355216659826, 0.10729469266019319, 0.032686173233507886, -0.07738088429121688, -0.03582527321569695, 0.330666597840367, -0.19889224123320368, -0.2049574425978826, -0.0258859077210326, -0.33305372066316336, 0.15681600069055462, 0.12940133233683757, 0.10042439403916055, 0.13095950588381083, 0.12907751786896018, 0.00022399628368934783, -0.02416162250755415, -0.2656439794734637, 0.3148765779459978, 0.08632526182025524, 0.18897485876880069, 0.27577226727481674, 0.0514747872625911, 0.0022690082798794945, -0.027289447378099775, 0.0074673874285256505, -0.0562856039605772, 0.01080621299270476, 0.25043903650960303, 0.05173541969933206, 0.11507949231671963, -0.3951330411773507, -0.13418962021754816, 0.09168046101060982, 0.16539163546784236, 0.14037498148659008, -0.09126674398632333, -0.2389502113703454, 0.11570628932077844, -0.27504523018245947, -0.1930616473004517, -0.03006714614255741, -0.0322360229669231, -0.028415040223684053, -0.3483941519983334, 0.09873158078252264, -0.07952263100547624, 0.008057749410630158, 0.03040862826648915, -0.18865957713713594, -0.12325898720882833, -0.02636736353610338, 0.10363938907820658, 0.15215548417429522, 0.22683592581900186, -0.24875839770250577, -0.1362676169575736, 0.3953961307680843, -0.04870133558034639, -0.08744877008813443, 0.22240862742730297, -0.26258598309987696, -0.13052392824285544, 0.1662646364144022, 0.29962807669682373, 0.08607022433384957, -0.21755540205884982, 0.06597218713043074, -0.04736061880162152, 0.1522645254357269, 0.1408347169923974, 0.06703712749709882, 0.24262024611603505, 0.2500202389996462, -0.07630416051032815, 0.1061524762151046, -0.05438785185974171, -0.05579948187851817, -0.41846082437008914, -0.056567186683342596, -0.12400413166252103, 0.0374171749116982, -0.09534668686784145, -0.10693173097575655, 0.3781801684953199, 0.13513800273603288, 0.2544277195108704, -0.07975241930989346, 0.30256938917728343, 0.10894417771977363, 0.0008925305218966032, 0.1577312855243321, 0.30954950228149053, 0.1842346215565311, 0.2478988727273438, -0.31074207969065204, 0.029560993425548077, 0.08752871452286692] |
709.1685 | Entropies for complex systems: generalized-generalized entropies | Many complex systems are characterized by non-Boltzmann distribution
functions of their statistical variables. If one wants to -- justified or not
-- hold on to the maximum entropy principle for complex statistical systems
(non-Boltzmann) we demonstrate how the corresponding entropy has to look like,
given the form of the corresponding distribution functions. By two natural
assumptions that (i) the maximum entropy principle should hold and that (ii)
entropy should describe the correct thermodynamics of a system (which produces
non-Boltzmann distributions) the existence of a class of fully consistent
entropies can be deduced. Classical Boltzmann-Gibbs entropy is recovered as a
special case for the observed distribution being the exponential, Tsallis
entropy is the special case for q-exponential observations.
| cond-mat.stat-mech | many complex systems are characterized by nonboltzmann distribution functions of their statistical variables if one wants to justified or not hold on to the maximum entropy principle for complex statistical systems nonboltzmann we demonstrate how the corresponding entropy has to look like given the form of the corresponding distribution functions by two natural assumptions that i the maximum entropy principle should hold and that ii entropy should describe the correct thermodynamics of a system which produces nonboltzmann distributions the existence of a class of fully consistent entropies can be deduced classical boltzmanngibbs entropy is recovered as a special case for the observed distribution being the exponential tsallis entropy is the special case for qexponential observations | [['many', 'complex', 'systems', 'are', 'characterized', 'by', 'nonboltzmann', 'distribution', 'functions', 'of', 'their', 'statistical', 'variables', 'if', 'one', 'wants', 'to', 'justified', 'or', 'not', 'hold', 'on', 'to', 'the', 'maximum', 'entropy', 'principle', 'for', 'complex', 'statistical', 'systems', 'nonboltzmann', 'we', 'demonstrate', 'how', 'the', 'corresponding', 'entropy', 'has', 'to', 'look', 'like', 'given', 'the', 'form', 'of', 'the', 'corresponding', 'distribution', 'functions', 'by', 'two', 'natural', 'assumptions', 'that', 'i', 'the', 'maximum', 'entropy', 'principle', 'should', 'hold', 'and', 'that', 'ii', 'entropy', 'should', 'describe', 'the', 'correct', 'thermodynamics', 'of', 'a', 'system', 'which', 'produces', 'nonboltzmann', 'distributions', 'the', 'existence', 'of', 'a', 'class', 'of', 'fully', 'consistent', 'entropies', 'can', 'be', 'deduced', 'classical', 'boltzmanngibbs', 'entropy', 'is', 'recovered', 'as', 'a', 'special', 'case', 'for', 'the', 'observed', 'distribution', 'being', 'the', 'exponential', 'tsallis', 'entropy', 'is', 'the', 'special', 'case', 'for', 'qexponential', 'observations']] | [-0.0814739168257169, 0.1302338327706346, -0.1488294461256136, 0.1630149889109737, -0.032875233759050784, -0.1840618734490936, 0.01831270819529891, 0.2946465407862611, -0.270602134971515, -0.24575374101734032, 0.08582689627579859, -0.3032851761328461, -0.07519939737191991, 0.2005080640396994, -0.08541520669570436, 0.0949678716958379, 0.03788406367251731, 0.08333427908263452, -0.0811909413613055, -0.21982765709171476, 0.3388120810298816, 0.041347040252193164, 0.2888445849489907, 0.020405784901231527, 0.08178764002640611, 0.005108939908424636, 0.035995705453577734, 0.08284261730783012, -0.14300294075143502, 0.11411077912248994, 0.2276741843711099, 0.20206948062000069, 0.24708858685891913, -0.35712928286065226, -0.26416209448614847, 0.17192924878681484, 0.08454761581454912, 0.07721861282100334, 0.017847734814226305, -0.20795804752522837, 0.06793136718156545, -0.1916633584941535, -0.1629384292775522, -0.1108081287258993, 0.023023573325380034, 0.06374135566875339, -0.2577959096666587, 0.13405987148416107, 0.11332349245557967, 0.018423253471922616, -0.03976751298684141, -0.1052452819938164, -0.0520862346312598, 0.08938703287757285, 0.0637255312429498, -0.025931786867263523, 0.13675200128522905, -0.09570319818676976, -0.0877022064331433, 0.3747202995678653, -0.028725095083127202, -0.22762481333768886, 0.1692721075914881, -0.18425705010557306, -0.16365065066062887, 0.07755080203110676, 0.11878322805075542, 0.12142384106738736, -0.18182951520885463, 0.05308716715586817, -0.041459269918825314, 0.15241477283871854, 0.031979444082421454, 0.05404133952992118, 0.2088119849967568, 0.039309633640653416, 0.029931653371465434, 0.1782523413947986, -0.045682843723941755, -0.18960102232092102, -0.33914798793747375, -0.18362969871934343, -0.2614918184486906, 0.08032993652830002, -0.09352081712808602, -0.16048307966278946, 0.33390475949474974, 0.11399154138255298, 0.19296622886119977, 0.09369942372887517, 0.20926830647918193, 0.20194973630486462, 0.03165607694738909, 0.06677611867369547, 0.22492876267060638, 0.14577211199591503, 0.0805263893354846, -0.16764859455111233, 0.14108350247792575, 0.07591828851272231] |
709.1686 | Colliding Stellar Wind Models with Nonequilibrium Ionization: X-rays
from WR 147 | The effects of nonequilibrium ionization are explicitly taken into account in
a numerical model which describes colliding stellar winds (CSW) in massive
binary sytems. This new model is used to analyze the most recent X-ray spectra
of the WR+OB binary system WR 147. The basic result is that it can adequately
reproduce the observed X-ray emission (spectral shape, observed flux) but some
adjustment in the stellar wind parameters is required. Namely, (i) the stellar
wind velocities must be higher by a factor of 1.4 - 1.6; (ii) the mass loss
must be reduced by a factor of ~ 2. The reduction factor for the mass loss is
well within the uncertainties for this parameter in massive stars, but given
the fact that the orbital parameters (e.g., inclination angle and eccentricity)
are not well constrained for WR 147, even smaller corrections to the mass loss
might be sufficient. Only CSW models with nonequilibrium ionization and equal
(or nearly equal) electron and ion postshock temperature are successful.
Therefore, the analysis of the X-ray spectra of WR 147 provides evidence that
the CSW shocks in this object must be collisionless.
| astro-ph | the effects of nonequilibrium ionization are explicitly taken into account in a numerical model which describes colliding stellar winds csw in massive binary sytems this new model is used to analyze the most recent xray spectra of the wrob binary system wr 147 the basic result is that it can adequately reproduce the observed xray emission spectral shape observed flux but some adjustment in the stellar wind parameters is required namely i the stellar wind velocities must be higher by a factor of 14 16 ii the mass loss must be reduced by a factor of 2 the reduction factor for the mass loss is well within the uncertainties for this parameter in massive stars but given the fact that the orbital parameters eg inclination angle and eccentricity are not well constrained for wr 147 even smaller corrections to the mass loss might be sufficient only csw models with nonequilibrium ionization and equal or nearly equal electron and ion postshock temperature are successful therefore the analysis of the xray spectra of wr 147 provides evidence that the csw shocks in this object must be collisionless | [['the', 'effects', 'of', 'nonequilibrium', 'ionization', 'are', 'explicitly', 'taken', 'into', 'account', 'in', 'a', 'numerical', 'model', 'which', 'describes', 'colliding', 'stellar', 'winds', 'csw', 'in', 'massive', 'binary', 'sytems', 'this', 'new', 'model', 'is', 'used', 'to', 'analyze', 'the', 'most', 'recent', 'xray', 'spectra', 'of', 'the', 'wrob', 'binary', 'system', 'wr', '147', 'the', 'basic', 'result', 'is', 'that', 'it', 'can', 'adequately', 'reproduce', 'the', 'observed', 'xray', 'emission', 'spectral', 'shape', 'observed', 'flux', 'but', 'some', 'adjustment', 'in', 'the', 'stellar', 'wind', 'parameters', 'is', 'required', 'namely', 'i', 'the', 'stellar', 'wind', 'velocities', 'must', 'be', 'higher', 'by', 'a', 'factor', 'of', '14', '16', 'ii', 'the', 'mass', 'loss', 'must', 'be', 'reduced', 'by', 'a', 'factor', 'of', '2', 'the', 'reduction', 'factor', 'for', 'the', 'mass', 'loss', 'is', 'well', 'within', 'the', 'uncertainties', 'for', 'this', 'parameter', 'in', 'massive', 'stars', 'but', 'given', 'the', 'fact', 'that', 'the', 'orbital', 'parameters', 'eg', 'inclination', 'angle', 'and', 'eccentricity', 'are', 'not', 'well', 'constrained', 'for', 'wr', '147', 'even', 'smaller', 'corrections', 'to', 'the', 'mass', 'loss', 'might', 'be', 'sufficient', 'only', 'csw', 'models', 'with', 'nonequilibrium', 'ionization', 'and', 'equal', 'or', 'nearly', 'equal', 'electron', 'and', 'ion', 'postshock', 'temperature', 'are', 'successful', 'therefore', 'the', 'analysis', 'of', 'the', 'xray', 'spectra', 'of', 'wr', '147', 'provides', 'evidence', 'that', 'the', 'csw', 'shocks', 'in', 'this', 'object', 'must', 'be', 'collisionless']] | [-0.0749830351966257, 0.17139306772387009, -0.052475262236957615, 0.1252826733709741, -0.05893856393727096, -0.11651364325268848, 0.027173087114115823, 0.3838525860192808, -0.19381621080589154, -0.37104128258856567, 0.06046615407449772, -0.25260206141282576, -0.0299062608828142, 0.1965476355100101, -0.05081868198247173, 0.010567759840774375, 0.08907275187996895, -0.0242536895114746, -0.06255393519437545, -0.24714576701658802, 0.3000047527077432, 0.09107429962227674, 0.1432252777387967, 0.03722848328887611, 0.05704331690495884, -0.04280940414142065, -0.0259676717939107, 0.008451109205850878, -0.11174098856277556, 0.04023994849428434, 0.19423305103392105, 0.1290771909397901, 0.20953958681658716, -0.3565779418558688, -0.24470551220788242, 0.05292443079571869, 0.1889555794277348, 0.06634972322515112, -0.025645736431249896, -0.17787255851325354, 0.04723780508581046, -0.24093492030719849, -0.16129168866302918, -0.0013103052344475244, 0.032650514051469195, 0.03400426452123635, -0.29090240106641035, 0.12245952629521993, 0.0489810830869435, 0.04278086001380674, -0.1117818641186868, -0.10841221978976014, -0.08040530703257065, 0.07001304037592097, 0.05183829847484122, 0.05184842601066103, 0.15746495711390635, -0.12676195897338158, -0.031247381951244598, 0.4296139073130247, -0.03435841217460866, -0.10439264744620871, 0.1899118561952098, -0.20762684378974341, -0.14162589525552216, 0.1869745317141752, 0.15338570644726623, 0.0929702354532138, -0.18486214358409916, 0.0004242438026955603, -0.02184392795520457, 0.2097552913037558, 0.04215047885412099, 0.03706795007393167, 0.27834852086380124, 0.10914037709338338, -0.02629204412569871, 0.0714260893987926, -0.16691574919465427, -0.047927811587028, -0.25253823740357484, -0.10551222362178, -0.12358409928510318, 0.07814520547942044, -0.1450878900926516, -0.11635316531803157, 0.34712392139953335, 0.1199808700740136, 0.20288639420492424, -0.013773467836624666, 0.3146334742674151, 0.18181533465457678, 0.09312633285550652, 0.14334482139328847, 0.3135414315521327, 0.1507293244949668, 0.06367058420704828, -0.26420225370927036, 0.09447794160994424, 0.030198012073398443] |
709.1687 | Co/Nb/Co low field superconducting spin switch | We report experiments on a superconducting spin switch based on
technologically relevant materials as elemental ferromagnetic Co and elemental
superconducting Nb. The Co/Nb/Co structure exhibits inverse spin switch effect,
can be operated at liquid helium temperature and can switch from
superconductive to normal state in rather weak applied magnetic fields.
Relevant critical currents as a function of temperature and magnetic field as
well as preparation of superconductive or resistive state are addressed here.
| cond-mat.supr-con | we report experiments on a superconducting spin switch based on technologically relevant materials as elemental ferromagnetic co and elemental superconducting nb the conbco structure exhibits inverse spin switch effect can be operated at liquid helium temperature and can switch from superconductive to normal state in rather weak applied magnetic fields relevant critical currents as a function of temperature and magnetic field as well as preparation of superconductive or resistive state are addressed here | [['we', 'report', 'experiments', 'on', 'a', 'superconducting', 'spin', 'switch', 'based', 'on', 'technologically', 'relevant', 'materials', 'as', 'elemental', 'ferromagnetic', 'co', 'and', 'elemental', 'superconducting', 'nb', 'the', 'conbco', 'structure', 'exhibits', 'inverse', 'spin', 'switch', 'effect', 'can', 'be', 'operated', 'at', 'liquid', 'helium', 'temperature', 'and', 'can', 'switch', 'from', 'superconductive', 'to', 'normal', 'state', 'in', 'rather', 'weak', 'applied', 'magnetic', 'fields', 'relevant', 'critical', 'currents', 'as', 'a', 'function', 'of', 'temperature', 'and', 'magnetic', 'field', 'as', 'well', 'as', 'preparation', 'of', 'superconductive', 'or', 'resistive', 'state', 'are', 'addressed', 'here']] | [-0.1392814165867296, 0.2849196672258485, 0.005788009180428667, 0.013147129754846295, -0.06439472592642738, -0.19344305782578886, 0.10866160454396676, 0.4156155415500204, -0.2388961016614404, -0.3076984270850921, 0.052886312683565646, -0.26961167125652236, -0.05785589333067441, 0.2546114816375646, 0.09711429179878905, 0.024949339910462085, -0.08415770455677477, -0.0028208948141481313, -0.15693333534161663, -0.15735447313313167, 0.31731089829312015, 0.01175636724413683, 0.37298916299025425, 0.05717839476548963, 0.06969974821226464, -0.07177034678170457, 0.16027365975444102, 0.062458073623323195, -0.08776524662971497, -0.06606986647885707, 0.3075249971718424, -0.08055954778359996, 0.14273200667553787, -0.5186262614895694, -0.19180859414821802, 0.012369940552162006, 0.10785906730193852, 0.14422779909283337, -0.058841923132099, -0.258075755309417, 0.005195106418492894, -0.14336483244551346, -0.10838162764492962, -0.1342107235169452, -0.0427319958738129, 0.023808427820767974, -0.24814432526747826, 0.0785077946590415, 0.05406727690650667, 0.11333592631854117, -0.07230511579998872, -0.19636458419780764, -0.06552007752664697, 0.04490952346047076, -0.011929039067278305, 0.06517146819452238, 0.2809839088145559, -0.1164740924982147, -0.11078942711820775, 0.2738249666678409, -0.08528988699739178, -0.05302875119054483, 0.19039695531763653, -0.14827128648499233, -0.03219160890310175, 0.10216650278178147, 0.14188118379873535, 0.07979945097273837, -0.13951758704125597, 0.041001743285354074, 0.02648798972626941, 0.1927016295182208, 0.04012102207181872, 0.08491386650388853, 0.30237571849849904, 0.29108112843500245, 0.035169241975785956, 0.16526128165908935, -0.14923264139280137, -0.0033524138594253194, -0.2249504409523474, -0.20720354542653593, -0.2192196060334229, 0.12966902268817648, -0.006477160708527663, -0.22318294073920697, 0.3626685290493899, 0.15552880971356192, 0.16782192996793632, -0.16175948617617703, 0.27260183620577055, 0.09305859469006666, 0.07163471240912461, 0.00950612753836645, 0.2549980547175639, 0.2263340569366442, 0.1702431612260019, -0.27426912409525056, 0.1384984508363737, -0.02720047058796303] |
709.1688 | The Generalized Burnside Theorem | All groups have 2 generators. For every prime power q, the Generalized
Burnside Theorem (Theorem GB) produces an infinite number of solvable groups,
Some, such as groups of a prime power exponent, have only elements of finite
order and are therefore finite groups. Others have elements of infinite order
and are thus infinite groups.
All these groups, even when infinite, are closely related to groups of
exponent q. They have at least one generator of order q, and their commutator
subgroup has exponent q.
| math.GR | all groups have 2 generators for every prime power q the generalized burnside theorem theorem gb produces an infinite number of solvable groups some such as groups of a prime power exponent have only elements of finite order and are therefore finite groups others have elements of infinite order and are thus infinite groups all these groups even when infinite are closely related to groups of exponent q they have at least one generator of order q and their commutator subgroup has exponent q | [['all', 'groups', 'have', '2', 'generators', 'for', 'every', 'prime', 'power', 'q', 'the', 'generalized', 'burnside', 'theorem', 'theorem', 'gb', 'produces', 'an', 'infinite', 'number', 'of', 'solvable', 'groups', 'some', 'such', 'as', 'groups', 'of', 'a', 'prime', 'power', 'exponent', 'have', 'only', 'elements', 'of', 'finite', 'order', 'and', 'are', 'therefore', 'finite', 'groups', 'others', 'have', 'elements', 'of', 'infinite', 'order', 'and', 'are', 'thus', 'infinite', 'groups', 'all', 'these', 'groups', 'even', 'when', 'infinite', 'are', 'closely', 'related', 'to', 'groups', 'of', 'exponent', 'q', 'they', 'have', 'at', 'least', 'one', 'generator', 'of', 'order', 'q', 'and', 'their', 'commutator', 'subgroup', 'has', 'exponent', 'q']] | [-0.2060447157404962, 0.21657150554338364, -0.109099530014646, 0.0647160034416066, -0.07760234684835832, -0.186104693566449, 0.0011481005210606824, 0.3740675003223476, -0.2885542805528357, -0.2733251837836135, 0.1381040100629131, -0.3329664340486661, -0.058624898338513004, 0.2420864344818429, -0.05291461657976643, 0.0003034044334310151, -0.027759539539970103, 0.19490103719622962, -0.021487721384757952, -0.351938334487689, 0.3465802687597239, -0.05961288807364846, 0.19737333332055382, -0.01932826104928695, 0.07052077082473607, -0.022013145742849224, -0.030195250879928824, 0.020315295284880058, -0.09939168186281763, 0.07699449899761628, 0.3281894578997578, -0.007743429298335243, 0.2833363100819822, -0.3194452796967761, -0.17500942072919792, 0.2525077020815973, 0.15711138495576701, 0.009637567076078128, -0.03741827671460453, -0.16237783797883562, 0.22948278255006743, -0.27792084483440876, -0.16010534718987487, -0.06698905184332814, 0.11022410204722768, 0.0876289541345267, -0.22183335534784765, 0.04501814282100115, 0.1174756588769101, 0.12274990013849588, -0.019433283008679393, -0.16349726425306427, -0.004443851366106953, 0.1946379128400752, 0.030693797738335672, -0.052045341246412136, 0.06846893011589557, -0.06239201576127449, -0.1575753598728971, 0.39409468739870046, 0.06434839839320852, -0.16786112623023136, 0.13396566169657967, -0.2129984412098392, -0.175864126062065, 0.1464385518449403, 0.11957016823414181, 0.10450002875378621, 0.019505223704722345, 0.19778032015269023, -0.0972005334194927, 0.12866427223308988, 0.11538551403542183, 0.03912566345007647, 0.1020599884047572, -0.007187710645320337, 0.0837949808199136, 0.09187656228563615, 0.08394028488103122, 0.04062798551915746, -0.33208909744973336, -0.15033488204547515, -0.12429462339163624, 0.09836751524181593, -0.18044539947853386, -0.1748953655644852, 0.3435202439182571, 0.03971833071582729, 0.10878091288863548, 0.10631275788667456, 0.18002328540508947, 0.12377399249262885, 0.12057022355397098, 0.09846985010829355, 0.05072288173756706, 0.22312670980491453, -0.10842408571347949, -0.1312680882568072, 0.0015537143197088014, 0.19394245512583957] |
709.1689 | Seifert surfaces, Commutators and Vassiliev invariants | We show that the Vassiliev invariants of a knot K, are obstructions to
finding a regular Seifert surface, S, whose complement looks "simple" (e.g.
like the complement of a disc) to the lower central series of its fundamental
group.
| math.GT math.QA | we show that the vassiliev invariants of a knot k are obstructions to finding a regular seifert surface s whose complement looks simple eg like the complement of a disc to the lower central series of its fundamental group | [['we', 'show', 'that', 'the', 'vassiliev', 'invariants', 'of', 'a', 'knot', 'k', 'are', 'obstructions', 'to', 'finding', 'a', 'regular', 'seifert', 'surface', 's', 'whose', 'complement', 'looks', 'simple', 'eg', 'like', 'the', 'complement', 'of', 'a', 'disc', 'to', 'the', 'lower', 'central', 'series', 'of', 'its', 'fundamental', 'group']] | [-0.24483740420486683, 0.05120690226650391, -0.16512043210558403, 0.060331072276219345, -0.1519460049099647, -0.14876144885634765, 0.05542948476982136, 0.3080450993699905, -0.321044362985935, -0.29238111990241283, 0.1060736163949164, -0.26460654011521584, -0.16953904105302614, 0.21616881263131896, -0.12588655564169854, -0.015062092852671273, 0.04342333869769787, 0.12247321773798038, -0.09912237252156512, -0.22701445298317152, 0.3183403060031243, -0.0310822046146943, 0.11516460569169468, 0.03979366165227615, 0.02334290384673155, -0.04943530009581874, -0.07031823229044676, 0.04217728008874334, -0.20139268647901004, 0.17311595127177545, 0.25531800762296486, 0.07407003168303233, 0.14261381414074165, -0.3828700577410368, -0.17022180452178687, 0.11911785220488524, 0.11193728813034398, -0.00552832996711517, -0.001392732254969768, -0.22243439788237596, 0.11964313396945214, -0.13042885404175672, -0.18477142103111896, -0.01907095807389571, 0.07525664434219018, 0.021438143239953578, -0.15158853130206132, -0.027871705448398225, 0.115051981061697, 0.09325635108428124, 0.04232406383081793, -0.1257807891099499, -0.08480330690359458, 0.14379486562206578, 0.0003959013817784114, 0.0962489250426491, 0.1338418259476431, -0.1612214452993029, -0.11717923453603035, 0.3985722501977132, -0.10559988900637016, -0.16266597900539637, 0.22505047559165037, -0.21592790361207265, -0.20251083774014544, 0.1956018407184344, 0.0765147813810752, 0.13113529376016977, -0.007050454043425047, 0.10973967248215698, -0.15664257070957086, 0.08695559007808185, 0.09142809137940788, -0.030029509395647507, 0.21638318877189588, 0.07931130749579424, 0.1358302716189661, 0.15266094469011593, -0.020987292035267904, 0.020227361279420365, -0.31734620552892107, -0.24487386849255133, -0.16740530550193328, 0.09017239988614352, -0.1195513479387722, -0.23030261986721784, 0.4252154144148032, -0.00257119058798521, 0.22792840706041226, 0.11086271667423156, 0.25691220345787513, 0.034538874665322974, 0.05529267449552814, 0.1148044678549736, 0.13470561420306182, 0.16801417518693668, -0.06333729935189088, -0.16408108236889044, -0.029515446080133702, 0.18641609600625741] |
709.169 | Equilibrium and dynamics of a trapped superfluid Fermi gas with unequal
masses | Interacting Fermi gases with equal populations but unequal masses are
investigated at zero temperature using local density approximation and the
hydrodynamic theory of superfluids in the presence of harmonic trapping.
We derive the conditions of energetic stability of the superfluid
configuration with respect to phase separation and the frequencies of the
collective oscillations in terms of the mass ratio and the trapping frequencies
of the two components. We discuss the behavior of the gas after the trapping
potential of a single component is switched off and show that, near a Feshbach
resonance, the released component can still remain trapped due to many-body
interaction effects. Explicit predictions are presented for a mixture of $^6$Li
and $^{40}$K with resonant interaction.
| cond-mat.soft cond-mat.supr-con | interacting fermi gases with equal populations but unequal masses are investigated at zero temperature using local density approximation and the hydrodynamic theory of superfluids in the presence of harmonic trapping we derive the conditions of energetic stability of the superfluid configuration with respect to phase separation and the frequencies of the collective oscillations in terms of the mass ratio and the trapping frequencies of the two components we discuss the behavior of the gas after the trapping potential of a single component is switched off and show that near a feshbach resonance the released component can still remain trapped due to manybody interaction effects explicit predictions are presented for a mixture of 6li and 40k with resonant interaction | [['interacting', 'fermi', 'gases', 'with', 'equal', 'populations', 'but', 'unequal', 'masses', 'are', 'investigated', 'at', 'zero', 'temperature', 'using', 'local', 'density', 'approximation', 'and', 'the', 'hydrodynamic', 'theory', 'of', 'superfluids', 'in', 'the', 'presence', 'of', 'harmonic', 'trapping', 'we', 'derive', 'the', 'conditions', 'of', 'energetic', 'stability', 'of', 'the', 'superfluid', 'configuration', 'with', 'respect', 'to', 'phase', 'separation', 'and', 'the', 'frequencies', 'of', 'the', 'collective', 'oscillations', 'in', 'terms', 'of', 'the', 'mass', 'ratio', 'and', 'the', 'trapping', 'frequencies', 'of', 'the', 'two', 'components', 'we', 'discuss', 'the', 'behavior', 'of', 'the', 'gas', 'after', 'the', 'trapping', 'potential', 'of', 'a', 'single', 'component', 'is', 'switched', 'off', 'and', 'show', 'that', 'near', 'a', 'feshbach', 'resonance', 'the', 'released', 'component', 'can', 'still', 'remain', 'trapped', 'due', 'to', 'manybody', 'interaction', 'effects', 'explicit', 'predictions', 'are', 'presented', 'for', 'a', 'mixture', 'of', '6li', 'and', '40k', 'with', 'resonant', 'interaction']] | [-0.17354861315254957, 0.2432422000733283, -0.05511323385871947, 0.04610552243844969, 0.04877821067387585, -0.13935347702906672, 0.05643585859896552, 0.33711588838121903, -0.2108418004591239, -0.2734883014666177, 0.03246161719523686, -0.301543093724492, -0.04472886879486426, 0.15454096772700107, 0.06140192875824079, 0.016559367328566516, 0.03258116503040922, 0.03647976811438546, -0.07003802380729783, -0.19549122564119714, 0.334734291347312, 0.057629135504396536, 0.2548451023334164, 0.09883868768495524, 0.06433874994547943, -0.01942475885547445, 0.06311637759050828, -0.023267790556774807, -0.10473947410250499, 0.08394041160462913, 0.1925155286809382, -0.012117233486467247, 0.21294929379186892, -0.43964714185981935, -0.21879788024066868, 0.10528832189423049, 0.17924344356534844, 0.1431667680489057, -0.06519255165792054, -0.282013686389615, -0.048965775620949975, -0.16987351646204873, -0.2280880968654686, -0.09123337127552447, 0.032118516011258307, 0.06860316371332097, -0.25985096798424406, 0.13782397105547964, 0.05613070197198224, 0.07619940861270337, -0.1337766967520465, -0.10150243056211937, -0.01042914733495879, 0.07250968963933825, 0.0415863494499255, -0.025717482128638332, 0.17539113771833353, -0.15042578601041587, -0.03231337651515664, 0.3808154324671427, -0.12040887981400651, -0.14311852747519202, 0.2527820805908512, -0.17801499057766365, -0.04371741470107335, 0.16356206389728112, 0.16648798776095955, 0.06856773476810905, -0.13245129705627717, 0.052848089717711336, 0.02353894116526659, 0.14809796708178216, 0.0865452237963929, 0.0479754447479243, 0.2880543520263696, 0.16274725165123405, 0.022249918140436944, 0.14698266564331697, -0.15629343471442492, -0.1065624919285903, -0.2690782051186188, -0.08205644141338071, -0.17073345217770913, -0.005602752410025351, -0.03317425713686458, -0.15893379731845678, 0.392786456327254, 0.11295646266080439, 0.220330317966419, 0.006055660749059486, 0.3066365539640883, 0.14668260333996455, 0.031180599878021215, 0.04720271887628646, 0.3108806466147051, 0.1853095116961937, 0.028934266145925147, -0.3295589703514035, 0.0028465230183644316, 0.015536006542033184] |
709.1691 | Microwave response of a cylindrical cavity made of bulk MgB2
superconductor | We report on the microwave properties of a resonant cylindrical cavity made
of bulk MgB2 superconductor, produced by the reactive liquid Mg infiltration
process. The frequency response of the cavity has been measured in the range
5-13GHz. Among the various modes, the TE011, resonating at 9.79GHz, exhibits
the highest quality factor. For this mode, we have determined the temperature
dependence of the quality factor, obtaining values of the order of 10^5 in the
temperature range 4.2-30K. The values of the surface resistance deduced from
the measurements of the quality factor agree quite well with those
independently measured in a small sample of MgB2 extracted from the same
specimen from which the cavity has been obtained.
| cond-mat.supr-con | we report on the microwave properties of a resonant cylindrical cavity made of bulk mgb2 superconductor produced by the reactive liquid mg infiltration process the frequency response of the cavity has been measured in the range 513ghz among the various modes the te011 resonating at 979ghz exhibits the highest quality factor for this mode we have determined the temperature dependence of the quality factor obtaining values of the order of 105 in the temperature range 4230k the values of the surface resistance deduced from the measurements of the quality factor agree quite well with those independently measured in a small sample of mgb2 extracted from the same specimen from which the cavity has been obtained | [['we', 'report', 'on', 'the', 'microwave', 'properties', 'of', 'a', 'resonant', 'cylindrical', 'cavity', 'made', 'of', 'bulk', 'mgb2', 'superconductor', 'produced', 'by', 'the', 'reactive', 'liquid', 'mg', 'infiltration', 'process', 'the', 'frequency', 'response', 'of', 'the', 'cavity', 'has', 'been', 'measured', 'in', 'the', 'range', '513ghz', 'among', 'the', 'various', 'modes', 'the', 'te011', 'resonating', 'at', '979ghz', 'exhibits', 'the', 'highest', 'quality', 'factor', 'for', 'this', 'mode', 'we', 'have', 'determined', 'the', 'temperature', 'dependence', 'of', 'the', 'quality', 'factor', 'obtaining', 'values', 'of', 'the', 'order', 'of', '105', 'in', 'the', 'temperature', 'range', '4230k', 'the', 'values', 'of', 'the', 'surface', 'resistance', 'deduced', 'from', 'the', 'measurements', 'of', 'the', 'quality', 'factor', 'agree', 'quite', 'well', 'with', 'those', 'independently', 'measured', 'in', 'a', 'small', 'sample', 'of', 'mgb2', 'extracted', 'from', 'the', 'same', 'specimen', 'from', 'which', 'the', 'cavity', 'has', 'been', 'obtained']] | [-0.10672069656097197, 0.15438502133474685, -0.04626520509814976, -0.08148200116704629, 0.007569610989386482, -0.07840733132824036, 0.06365981925773667, 0.3776374854080911, -0.20891179615032993, -0.35267544561065733, 0.037637823520136796, -0.2972369167421545, -0.0037356476469929995, 0.2400260150898248, 0.029499509471601675, 0.08128311555654884, -0.010702687261592863, 0.044222392981672395, -0.0704405482891681, -0.18208100493523358, 0.28345732064086143, 0.08638296337033223, 0.3797763675850417, 0.03956766854909282, 0.07124149409199683, -0.05057081630885867, 0.018887663309994553, 0.05706700311774122, -0.17169247433776036, 0.06485067916634892, 0.23294495087715664, -0.004838004762340071, 0.19657324542224938, -0.40336666432442925, -0.23132046449297508, 0.02853110828436911, 0.09785117096907925, 0.103938683076454, -0.03421206553321099, -0.26146191262107876, 0.06231970244386632, -0.13073744964120643, -0.13613003651490935, -0.0037477597413401653, -0.024824223639110903, -0.007545856052404686, -0.22911366507677094, 0.07662887378787023, -0.00469502724393221, 0.1079689561613902, -0.06793810463360776, -0.16385074160228083, -0.03240949706793929, 0.12407867624590706, 0.06185411648740618, 0.0123047678394609, 0.20470875967709748, -0.1308364286773472, -0.04134209204598197, 0.35963577559804044, -0.10448340752814797, -0.07821325750384338, 0.15870951260356897, -0.22663453674093553, -0.04051032175526156, 0.1960177123858427, 0.12914163954389682, 0.07398522799069594, -0.13671235363809892, 0.04127682974129649, -0.026410190500817925, 0.2003993791877292, 0.12376145051634271, 0.06935028414175447, 0.18659715401008725, 0.20557819616806228, -0.06361688529432286, 0.16980889544980268, -0.11620739309624437, 0.022858422640378455, -0.2332269224571064, -0.11662007067518841, -0.19067005523720582, 0.0363250894390928, -0.11821536126288786, -0.16053484393549816, 0.41689490857866723, 0.0817241048456968, 0.23340914937268412, -0.021879047636632874, 0.24897195486950555, 0.13695936089477204, 0.1257804772862333, 0.023000817344706905, 0.34481005851245883, 0.15108454251769995, 0.11685913044909414, -0.2835455828234054, 0.1068634024684018, -0.010160449846547895] |
709.1692 | Precision photometric redshift calibration for galaxy-galaxy weak
lensing | Accurate photometric redshifts are among the key requirements for precision
weak lensing measurements. Both the large size of the Sloan Digital Sky Survey
(SDSS) and the existence of large spectroscopic redshift samples that are
flux-limited beyond its depth have made it the optimal data source for
developing methods to properly calibrate photometric redshifts for lensing.
Here, we focus on galaxy-galaxy lensing in a survey with spectroscopic lens
redshifts, as in the SDSS. We develop statistics that quantify the effect of
source redshift errors on the lensing calibration and on the weighting scheme,
and show how they can be used in the presence of redshift failure and sampling
variance. We then demonstrate their use with 2838 source galaxies with
spectroscopy from DEEP2 and zCOSMOS, evaluating several public photometric
redshift algorithms, in two cases including a full p(z) for each object, and
find lensing calibration biases as low as 1% (due to fortuitous cancellation of
two types of bias) or as high as 20% for methods in active use (despite the
small mean photoz bias of these algorithms). Our work demonstrates that
lensing-specific statistics must be used to reliably calibrate the lensing
signal, due to asymmetric effects of (frequently non-Gaussian) photoz errors.
We also demonstrate that large-scale structure (LSS) can strongly impact the
photoz calibration and its error estimation, due to a correlation between the
LSS and the photoz errors, and argue that at least two independent degree-scale
spectroscopic samples are needed to suppress its effects. Given the size of our
spectroscopic sample, we can reduce the galaxy-galaxy lensing calibration error
well below current SDSS statistical errors.
| astro-ph | accurate photometric redshifts are among the key requirements for precision weak lensing measurements both the large size of the sloan digital sky survey sdss and the existence of large spectroscopic redshift samples that are fluxlimited beyond its depth have made it the optimal data source for developing methods to properly calibrate photometric redshifts for lensing here we focus on galaxygalaxy lensing in a survey with spectroscopic lens redshifts as in the sdss we develop statistics that quantify the effect of source redshift errors on the lensing calibration and on the weighting scheme and show how they can be used in the presence of redshift failure and sampling variance we then demonstrate their use with 2838 source galaxies with spectroscopy from deep2 and zcosmos evaluating several public photometric redshift algorithms in two cases including a full pz for each object and find lensing calibration biases as low as 1 due to fortuitous cancellation of two types of bias or as high as 20 for methods in active use despite the small mean photoz bias of these algorithms our work demonstrates that lensingspecific statistics must be used to reliably calibrate the lensing signal due to asymmetric effects of frequently nongaussian photoz errors we also demonstrate that largescale structure lss can strongly impact the photoz calibration and its error estimation due to a correlation between the lss and the photoz errors and argue that at least two independent degreescale spectroscopic samples are needed to suppress its effects given the size of our spectroscopic sample we can reduce the galaxygalaxy lensing calibration error well below current sdss statistical errors | [['accurate', 'photometric', 'redshifts', 'are', 'among', 'the', 'key', 'requirements', 'for', 'precision', 'weak', 'lensing', 'measurements', 'both', 'the', 'large', 'size', 'of', 'the', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'and', 'the', 'existence', 'of', 'large', 'spectroscopic', 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709.1693 | Discovery of the accretion-powered millisecond pulsar SWIFT J1756.9-2508
with a low-mass companion | We report on the discovery by the Swift Gamma-Ray Burst Explorer of the
eighth known transient accretion-powered millisecond pulsar, SWIFT
J1756.9-2508, as part of routine observations with the Swift Burst Alert
Telescope hard X-ray transient monitor. The pulsar was subsequently observed by
both the X-Ray Telescope on Swift and the Rossi X-Ray Timing Explorer
Proportional Counter Array. It has a spin frequency of 182 Hz (5.5 ms) and an
orbital period of 54.7 minutes. The minimum companion mass is between 0.0067
and 0.0086 solar masses, depending on the mass of the neutron star, and the
upper limit on the mass is 0.030 solar masses (95% confidence level). Such a
low mass is inconsistent with brown dwarf models, and comparison with white
dwarf models suggests that the companion is a He-dominated donor whose thermal
cooling has been at least modestly slowed by irradiation from the accretion
flux. No X-ray bursts, dips, eclipses or quasi-periodic oscillations were
detected. The current outburst lasted approximately 13 days and no earlier
outbursts were found in archival data.
| astro-ph | we report on the discovery by the swift gammaray burst explorer of the eighth known transient accretionpowered millisecond pulsar swift j175692508 as part of routine observations with the swift burst alert telescope hard xray transient monitor the pulsar was subsequently observed by both the xray telescope on swift and the rossi xray timing explorer proportional counter array it has a spin frequency of 182 hz 55 ms and an orbital period of 547 minutes the minimum companion mass is between 00067 and 00086 solar masses depending on the mass of the neutron star and the upper limit on the mass is 0030 solar masses 95 confidence level such a low mass is inconsistent with brown dwarf models and comparison with white dwarf models suggests that the companion is a hedominated donor whose thermal cooling has been at least modestly slowed by irradiation from the accretion flux no xray bursts dips eclipses or quasiperiodic oscillations were detected the current outburst lasted approximately 13 days and no earlier outbursts were found in archival data | [['we', 'report', 'on', 'the', 'discovery', 'by', 'the', 'swift', 'gammaray', 'burst', 'explorer', 'of', 'the', 'eighth', 'known', 'transient', 'accretionpowered', 'millisecond', 'pulsar', 'swift', 'j175692508', 'as', 'part', 'of', 'routine', 'observations', 'with', 'the', 'swift', 'burst', 'alert', 'telescope', 'hard', 'xray', 'transient', 'monitor', 'the', 'pulsar', 'was', 'subsequently', 'observed', 'by', 'both', 'the', 'xray', 'telescope', 'on', 'swift', 'and', 'the', 'rossi', 'xray', 'timing', 'explorer', 'proportional', 'counter', 'array', 'it', 'has', 'a', 'spin', 'frequency', 'of', '182', 'hz', '55', 'ms', 'and', 'an', 'orbital', 'period', 'of', '547', 'minutes', 'the', 'minimum', 'companion', 'mass', 'is', 'between', '00067', 'and', '00086', 'solar', 'masses', 'depending', 'on', 'the', 'mass', 'of', 'the', 'neutron', 'star', 'and', 'the', 'upper', 'limit', 'on', 'the', 'mass', 'is', '0030', 'solar', 'masses', '95', 'confidence', 'level', 'such', 'a', 'low', 'mass', 'is', 'inconsistent', 'with', 'brown', 'dwarf', 'models', 'and', 'comparison', 'with', 'white', 'dwarf', 'models', 'suggests', 'that', 'the', 'companion', 'is', 'a', 'hedominated', 'donor', 'whose', 'thermal', 'cooling', 'has', 'been', 'at', 'least', 'modestly', 'slowed', 'by', 'irradiation', 'from', 'the', 'accretion', 'flux', 'no', 'xray', 'bursts', 'dips', 'eclipses', 'or', 'quasiperiodic', 'oscillations', 'were', 'detected', 'the', 'current', 'outburst', 'lasted', 'approximately', '13', 'days', 'and', 'no', 'earlier', 'outbursts', 'were', 'found', 'in', 'archival', 'data']] | [-0.0938705899498864, 0.20834191968107155, -0.026877131317146554, 0.12662767060913233, -0.14950995025668987, -0.09511190570544364, 0.11703644544197528, 0.41342560833639486, -0.11494585816737611, -0.4158248312386879, 0.1505852167969732, -0.39048463192790056, -0.010966744613671286, 0.2821615822356043, -0.05846705768517284, 0.005735121978728404, 0.14995949772229894, -0.0416164768316247, -0.0654977606839587, -0.26452871942591477, 0.18084484766383635, 0.14082506260033265, 0.10087760793164285, -0.05320555237148954, 0.09832477490593636, -0.05092738156016039, -0.05722082763193527, -0.14181249313933644, -0.11608413289679954, -0.06269215694682803, 0.1898473262762584, 0.10915038704216956, 0.1552605796145102, -0.364383987383917, -0.19926601999065688, 0.030592752047300036, 0.10721232628633896, -0.09721309626150097, -0.013449548472931911, -0.2901957061055095, 0.0294370413764629, -0.25636553293267306, -0.15932977182498245, 0.10399630084243972, 0.11522891282829521, 0.047013568968057286, -0.16026861110139032, 0.13638048353882473, 0.005939567827099804, 0.06645088172419576, -0.22304253338438154, -0.05476902527355611, -0.04475829566606905, 0.006077395494875693, 0.08055386679425705, 0.10495995506485194, 0.12428757591514177, -0.055515750644317026, -0.08700928399826638, 0.2945769314243334, -0.0829051825066292, 0.14264671947620267, 0.19462601539169894, -0.23588318097524258, -0.18350641243701238, 0.2246639768817722, 0.10554616971125523, 0.0953765495918518, -0.22588201295679197, 0.018585806863611228, -0.009164280234091526, 0.3284927937675939, 0.10244966968135952, 0.02957541721082444, 0.3893197392408606, 0.17487185911785103, 0.007192879594418458, 0.0939057104121677, -0.3541777395361731, 0.05069496252758125, -0.1729140491685072, -0.013759878779447442, -0.14387108128772355, 0.1484383810311556, -0.0689918349219857, -0.11154258036769407, 0.3810594141981456, 0.05190045004954215, 0.17329607354368753, 0.011641738351521104, 0.2978513384790181, 0.12437966567407319, 0.0895259128637283, 0.13214338915476706, 0.38054810586482896, 0.14719552637875177, 0.13366978077846037, -0.26870662223163255, 0.0970042668537475, 0.009616072357328998] |
709.1694 | Successful ToO triggers on the extragalactic sources with the MAGIC
telescope | The MAGIC collaboration has been performing Target of Opportunity (ToO)
observations whenever alerted that known or potential very high energy
gamma-ray emitting extragalactic sources were in a high flux state in the
optical, X-ray band or/and in the TeV energy range. Here we report on MAGIC
observations performed after such triggers, results of the analysis, and a
possible optical-TeV correlation seen in the data. Detections as well as
spectral and temporal characterestics of Mkn 180, PKS 2155-304, and 1ES
1011+496 are reported.
| astro-ph | the magic collaboration has been performing target of opportunity too observations whenever alerted that known or potential very high energy gammaray emitting extragalactic sources were in a high flux state in the optical xray band orand in the tev energy range here we report on magic observations performed after such triggers results of the analysis and a possible opticaltev correlation seen in the data detections as well as spectral and temporal characterestics of mkn 180 pks 2155304 and 1es 1011496 are reported | [['the', 'magic', 'collaboration', 'has', 'been', 'performing', 'target', 'of', 'opportunity', 'too', 'observations', 'whenever', 'alerted', 'that', 'known', 'or', 'potential', 'very', 'high', 'energy', 'gammaray', 'emitting', 'extragalactic', 'sources', 'were', 'in', 'a', 'high', 'flux', 'state', 'in', 'the', 'optical', 'xray', 'band', 'orand', 'in', 'the', 'tev', 'energy', 'range', 'here', 'we', 'report', 'on', 'magic', 'observations', 'performed', 'after', 'such', 'triggers', 'results', 'of', 'the', 'analysis', 'and', 'a', 'possible', 'opticaltev', 'correlation', 'seen', 'in', 'the', 'data', 'detections', 'as', 'well', 'as', 'spectral', 'and', 'temporal', 'characterestics', 'of', 'mkn', '180', 'pks', '2155304', 'and', '1es', '1011496', 'are', 'reported']] | [-0.051375436061061916, 0.15234140565735288, -0.04144158865092322, 0.14778672018437647, -0.08437264214735478, -0.12993313611368648, 0.07287073238985613, 0.5273048037663102, -0.11225778406951577, -0.44971999172121285, 0.12370167674380354, -0.33331567092100156, -0.020226607492077164, 0.21321110541175586, 0.017180410493165255, 0.06747938498156145, 0.10185001339996233, -0.05454057593597099, 0.013479561186250067, -0.14512565764598548, 0.21573371302511077, 0.17297552887539497, 0.2321091586141847, 0.06662636419641785, 0.12092503598105395, -0.02597425103886053, -0.06871417913935148, -0.04963274685433135, -0.050892327438214126, 0.011857442301698029, 0.27451675448101015, 0.10823702690249774, 0.1956530431576539, -0.34421819955096, -0.23555129201849923, 0.10919867691263789, 0.15163982065278106, -0.010611444571986794, -0.06541215139586712, -0.3352295962162316, 0.007522166927810758, -0.17956654481822626, -0.16180329475319014, 0.00667962045990862, 0.03239114264142699, 0.059341852477518844, -0.16813354460609845, 0.08096388846170158, -0.02799633786926279, 0.09044317094303551, -0.16514974366145907, -0.106057533796411, -0.0549287694535451, 0.06949531381542329, 0.08238740768283606, 0.06625579818501137, 0.0832687332353089, -0.14907681817130652, -0.14810199344574357, 0.35321660432964563, -0.04022717585758073, 0.024044386051537005, 0.19210399819203303, -0.20547206394257955, -0.2733337144512916, 0.17973779004532844, 0.1381814735941589, 0.1125744451652281, -0.11964798049302772, 0.025991983860876644, -0.004133723594713956, 0.22163073187693955, 0.04500170079991221, 0.1354306926310528, 0.23407885182241445, 0.17225467178650433, -0.005255912989377975, 0.13771718179050368, -0.3119769247685326, 0.039725304370949746, -0.27620337461994493, -0.04261447736062109, -0.216424289875431, 0.12220629665680463, -0.027040723902791795, -0.07474572656719829, 0.4108159573457669, 0.050109547772444786, 0.2010637242696248, -0.03569988837698475, 0.2552796883508563, 0.05342919177492149, 0.05416131974488962, 0.08329456958454103, 0.3941715920693241, 0.08811870982171968, 0.16877798599307425, -0.1295309989791349, 0.04775752823916264, -0.08074852371937595] |
709.1695 | Dynamics of surface solitons at the edge of chirped optical lattices | We address soliton formation at the edge of chirped optical lattices
imprinted in Kerr-type nonlinear media. We find families of power thresholdless
surface waves that do not exist at other types of lattice interfaces. Such
solitons form due to combined action of internal reflection at the interface,
distributed Bragg-type reflection, and focusing nonlinearity. Remarkably, we
discover that surfaces of chirped lattices are soliton attractors: Below an
energy threshold, solitons launched well within the lattice self-bend toward
the interface, and then stick to it.
| physics.optics nlin.PS | we address soliton formation at the edge of chirped optical lattices imprinted in kerrtype nonlinear media we find families of power thresholdless surface waves that do not exist at other types of lattice interfaces such solitons form due to combined action of internal reflection at the interface distributed braggtype reflection and focusing nonlinearity remarkably we discover that surfaces of chirped lattices are soliton attractors below an energy threshold solitons launched well within the lattice selfbend toward the interface and then stick to it | [['we', 'address', 'soliton', 'formation', 'at', 'the', 'edge', 'of', 'chirped', 'optical', 'lattices', 'imprinted', 'in', 'kerrtype', 'nonlinear', 'media', 'we', 'find', 'families', 'of', 'power', 'thresholdless', 'surface', 'waves', 'that', 'do', 'not', 'exist', 'at', 'other', 'types', 'of', 'lattice', 'interfaces', 'such', 'solitons', 'form', 'due', 'to', 'combined', 'action', 'of', 'internal', 'reflection', 'at', 'the', 'interface', 'distributed', 'braggtype', 'reflection', 'and', 'focusing', 'nonlinearity', 'remarkably', 'we', 'discover', 'that', 'surfaces', 'of', 'chirped', 'lattices', 'are', 'soliton', 'attractors', 'below', 'an', 'energy', 'threshold', 'solitons', 'launched', 'well', 'within', 'the', 'lattice', 'selfbend', 'toward', 'the', 'interface', 'and', 'then', 'stick', 'to', 'it']] | [-0.18551141062535617, 0.18819451912057092, -0.056010324655600435, 0.038628143829111825, -0.0994333161450014, -0.19660955101887628, 0.013198464393343141, 0.48105575252188054, -0.2826542567075571, -0.23169160295823, 0.08959333368480524, -0.305726666968861, -0.14790698019333365, 0.17922151173470632, 0.022960451795015394, 0.03856335366400322, -0.0012292905977540991, -0.029113210683756666, 0.0032791663642700126, -0.1934836709179075, 0.35753186543545934, -0.0011736327276860431, 0.30401660763749444, 0.08135268686725418, 0.0642772519665702, -0.011430914705426136, 0.06188643960532073, -0.02627610249399412, -0.17878736836197587, 0.06112185063794619, 0.23586305405762864, -0.04974017799377623, 0.16670245945271922, -0.4917330522680791, -0.2553927394357033, 0.05441213154983593, 0.17472465559357506, 0.18808837046437873, -0.07862564200171973, -0.2805398114184599, 0.03857902791911861, -0.10124357006648874, -0.1998120712388943, -0.025272848800097298, 0.012426175946574204, 0.09481460529538553, -0.17461996495996307, 0.062367517234212376, 0.1058617982709576, 0.051268562441691756, -0.0751944600786196, 0.019578439265875738, -0.12711096714284817, 0.03941522162725649, -0.018029885627783654, -0.034706458020614596, 0.10973884968978648, -0.14367796421028312, -0.09769156433800917, 0.41353987398125774, -0.08110425694527604, -0.12290706371933949, 0.21518230302509192, -0.14812444892382567, -0.05086202575916016, 0.19006980309353733, 0.22663293433625523, 0.06870246842707985, -0.03801170587198945, 0.006260783324960801, -0.008072441767492309, 0.22016129663168657, 0.20967064263787483, 0.08748967963747861, 0.2552903612405516, 0.1288150568810723, 0.08977098910921685, 0.13686468544708588, -0.031229991056933637, -0.0681352389510721, -0.26962996688784985, -0.07236497586297734, -0.16552554144773904, 0.0038789299804015973, -0.05392628157385, -0.1847998384477162, 0.37526047034132315, 0.06512157979035159, 0.1577339361921498, -0.015626974256209483, 0.20744107634953518, 0.13457941956727243, 0.07068231888683285, 0.1145962127654745, 0.26075441273292754, 0.09728675308387454, 0.10205919306906985, -0.23238172156029244, -0.07045939208431419, 0.03982900125088125] |
709.1696 | A Generic Rate Equation for modeling Enzymatic Reactions under Living
Conditions | Based on our experience in kinetic modeling of coupled multiple metabolic
pathways we propose a generic rate equation for the dynamical modeling of
metabolic kinetics. Its symmetric form makes the kinetic parameters (or
functions) easy to relate to values in database and to use in computation. In
addition, such form is workable to arbitrary number of substrates and products
with different stoichiometry. We explicitly show how to obtain such rate
equation exactly for various binding mechanisms. Hence the proposed rate
equation is formally rigorous. Various features of such a generic rate equation
are discussed. For irreversible reactions, the product inhibition which
directly arise from enzymatic reaction is eliminated in a natural way. We also
discuss how to include the effects of modifiers and cooperativity.
| q-bio.MN q-bio.QM | based on our experience in kinetic modeling of coupled multiple metabolic pathways we propose a generic rate equation for the dynamical modeling of metabolic kinetics its symmetric form makes the kinetic parameters or functions easy to relate to values in database and to use in computation in addition such form is workable to arbitrary number of substrates and products with different stoichiometry we explicitly show how to obtain such rate equation exactly for various binding mechanisms hence the proposed rate equation is formally rigorous various features of such a generic rate equation are discussed for irreversible reactions the product inhibition which directly arise from enzymatic reaction is eliminated in a natural way we also discuss how to include the effects of modifiers and cooperativity | [['based', 'on', 'our', 'experience', 'in', 'kinetic', 'modeling', 'of', 'coupled', 'multiple', 'metabolic', 'pathways', 'we', 'propose', 'a', 'generic', 'rate', 'equation', 'for', 'the', 'dynamical', 'modeling', 'of', 'metabolic', 'kinetics', 'its', 'symmetric', 'form', 'makes', 'the', 'kinetic', 'parameters', 'or', 'functions', 'easy', 'to', 'relate', 'to', 'values', 'in', 'database', 'and', 'to', 'use', 'in', 'computation', 'in', 'addition', 'such', 'form', 'is', 'workable', 'to', 'arbitrary', 'number', 'of', 'substrates', 'and', 'products', 'with', 'different', 'stoichiometry', 'we', 'explicitly', 'show', 'how', 'to', 'obtain', 'such', 'rate', 'equation', 'exactly', 'for', 'various', 'binding', 'mechanisms', 'hence', 'the', 'proposed', 'rate', 'equation', 'is', 'formally', 'rigorous', 'various', 'features', 'of', 'such', 'a', 'generic', 'rate', 'equation', 'are', 'discussed', 'for', 'irreversible', 'reactions', 'the', 'product', 'inhibition', 'which', 'directly', 'arise', 'from', 'enzymatic', 'reaction', 'is', 'eliminated', 'in', 'a', 'natural', 'way', 'we', 'also', 'discuss', 'how', 'to', 'include', 'the', 'effects', 'of', 'modifiers', 'and', 'cooperativity']] | [-0.09867343862330721, 0.11353064608016622, -0.046565448234633225, 0.07182989592359762, -0.07141446730782909, -0.12658744073762077, 0.05272816767495486, 0.3539018455306969, -0.314286618838988, -0.27887934458351904, 0.029157782085202335, -0.23974878177227033, -0.20446857235736154, 0.20899990163630836, -0.015920712664909284, 0.05153594282702186, 0.03817964584055927, 0.039420931720204895, -0.023996399122200186, -0.1974486253832677, 0.31955650723689505, 0.0569155884065455, 0.27942968060960993, 0.10113071155877063, 0.11354337059216754, -0.021353823499896774, -0.0014285869791262572, -0.03968477321998967, -0.16005190978373116, 0.11175764710248087, 0.2688757684532433, 0.14552350758364604, 0.2138169854278526, -0.4816172602586448, -0.24339694623655128, 0.10576209603177925, 0.12427674810732564, 0.16362928341784996, -0.04497173871758634, -0.1937771144908883, 0.0634663087574506, -0.19029328614969046, -0.1040706318097129, -0.12882176472903079, 0.024987538378956096, 0.06867486470089774, -0.28242094699864184, 0.1059088137865934, 0.020340973780548666, 0.02387450965151431, -0.10572611636786361, -0.10003367282690541, -0.04865758573531263, 0.1341671632985855, 0.05532592499155491, -0.022465399634271424, 0.17677562897123636, -0.12810920901604056, -0.08765751544870587, 0.38010396684835396, -0.06316303528916661, -0.27641227199778623, 0.22353275094909833, -0.07983123109255347, -0.14447206303086732, 0.11881559382703516, 0.18399225588467333, 0.12638293442714418, -0.20510729990013304, 0.039738916219756636, 0.05206662831046889, 0.1563437438237616, 0.06003962194306716, 0.027257004230763885, 0.13380550724574394, 0.1544011200988485, -0.004109165443467998, 0.15625468042919471, -0.01872676689996414, -0.1480018711994372, -0.26623440553826627, -0.18044704164288217, -0.09881611275787075, 0.09670800263355035, -0.08782617272323302, -0.15332076933813252, 0.36433073807312477, 0.15449844678533414, 0.21060726449884956, 0.049564460287764366, 0.2524248328540594, 0.12764920194111315, 0.07108901015618035, 0.008552332990802824, 0.19167953267723561, 0.12259914450753, 0.060457729471607075, -0.24281843066132897, 0.11374549054345416, 0.0556843526897982] |
709.1697 | Enhanced soliton interactions by inhomogeneous nonlocality and
nonlinearity | We address the interactions between optical solitons in the system with
longitudinally varying nonlocality degree and nonlinearity strength. We
consider a physical model describing light propagation in nematic liquid
crystals featuring a strongly nonlocal nonlinear response. We reveal that the
variation of the nonlocality and nonlinearity along the propagation direction
can substantially enhance or weaken the interaction between out-of-phase
solitons. This phenomenon manifests itself as a slowdown or acceleration of the
soliton collision dynamics in one-dimensional geometries or of the soliton
spiraling rate in bulk media. Therefore, one finds that by engineering the
nonlocality and nonlinearity variation rate one can control the output soliton
location.
| nlin.PS physics.optics | we address the interactions between optical solitons in the system with longitudinally varying nonlocality degree and nonlinearity strength we consider a physical model describing light propagation in nematic liquid crystals featuring a strongly nonlocal nonlinear response we reveal that the variation of the nonlocality and nonlinearity along the propagation direction can substantially enhance or weaken the interaction between outofphase solitons this phenomenon manifests itself as a slowdown or acceleration of the soliton collision dynamics in onedimensional geometries or of the soliton spiraling rate in bulk media therefore one finds that by engineering the nonlocality and nonlinearity variation rate one can control the output soliton location | [['we', 'address', 'the', 'interactions', 'between', 'optical', 'solitons', 'in', 'the', 'system', 'with', 'longitudinally', 'varying', 'nonlocality', 'degree', 'and', 'nonlinearity', 'strength', 'we', 'consider', 'a', 'physical', 'model', 'describing', 'light', 'propagation', 'in', 'nematic', 'liquid', 'crystals', 'featuring', 'a', 'strongly', 'nonlocal', 'nonlinear', 'response', 'we', 'reveal', 'that', 'the', 'variation', 'of', 'the', 'nonlocality', 'and', 'nonlinearity', 'along', 'the', 'propagation', 'direction', 'can', 'substantially', 'enhance', 'or', 'weaken', 'the', 'interaction', 'between', 'outofphase', 'solitons', 'this', 'phenomenon', 'manifests', 'itself', 'as', 'a', 'slowdown', 'or', 'acceleration', 'of', 'the', 'soliton', 'collision', 'dynamics', 'in', 'onedimensional', 'geometries', 'or', 'of', 'the', 'soliton', 'spiraling', 'rate', 'in', 'bulk', 'media', 'therefore', 'one', 'finds', 'that', 'by', 'engineering', 'the', 'nonlocality', 'and', 'nonlinearity', 'variation', 'rate', 'one', 'can', 'control', 'the', 'output', 'soliton', 'location']] | [-0.2186886623856567, 0.17555276697412842, -0.06649981452695404, 0.04476355604738707, -0.08855150629367148, -0.18893059719620006, -0.01543473658107576, 0.38559345184337523, -0.3093759207853249, -0.25455944264041525, 0.04254025963711597, -0.29407184298726774, -0.1588508616157231, 0.14362609232554124, 0.026523915704871927, 0.009341643520054363, 0.0014754338411702996, -0.007838037299613158, -0.025821351878611103, -0.164367140092474, 0.3133597785207842, 0.0006201432211258049, 0.31670520679049546, 0.09331964061018966, 0.07919905619207947, 0.05215838510055272, 0.06844237821974924, 0.005403366472039904, -0.12235180385746172, 0.0656642758908371, 0.16110979268560185, 0.014394027473671096, 0.25794201977550985, -0.45900165364146234, -0.30490819563468297, 0.09938287218766553, 0.17795361447192373, 0.1691873288802093, -0.05191621057068308, -0.2996736340934322, -0.05868011933662707, -0.10922562711376009, -0.20169252550584219, -0.017423637362108346, 0.006925860493044768, 0.0818538157976166, -0.21012802910769268, 0.15136027486906165, 0.08750182620826222, 0.018106348687017867, -0.05120595944158378, 0.042156243026034816, -0.060700385418853586, 0.026712713020277164, 0.04942870316805229, 0.0019954175932244177, 0.1422228487430229, -0.18784827564931697, -0.11486303758408342, 0.38831007859359185, -0.11187752595592645, -0.21751481361640063, 0.193656698237395, -0.14983056176708834, 0.001527380548594963, 0.15205234084721833, 0.23237687174585603, 0.05014383858513265, -0.08195959596362497, -0.0071066383488609325, 0.00461846108858784, 0.2371002225357751, 0.12735562533849762, 0.0937312558825527, 0.21495802079637846, 0.18536101434659769, 0.05702430349109428, 0.16042432998351397, -0.07376493005098642, -0.11024745974046667, -0.28094494271846043, -0.12698800123845494, -0.1402509454460371, 0.03227963335368605, -0.10979978672597403, -0.12990025605208108, 0.4295208284542674, 0.10633977733197666, 0.17841460009415944, -0.05905923501898845, 0.2314111630565354, 0.11841700066302327, 0.046677040663503463, 0.055164666819785324, 0.31744673791607575, 0.12052991351423165, 0.14781719070327068, -0.3155713816960564, 0.06592386224018854, 0.021959489854218972] |
709.1698 | Observation of the Semileptonic Decays B --> D* tau nubar and Evidence
for B --> D tau nubar | We present measurements of the semileptonic decays B- --> D0 tau- nubar, B-
--> D*0 tau- nubar, B0bar --> D+ tau- nubar, and B0bar --> D*+ tau- nubar,
which are potentially sensitive to non--Standard Model amplitudes. The data
sample comprises 232x10^6 Upsilon(4S) --> BBbar decays collected with the BaBar
detector. From a combined fit to B- and B0bar channels, we obtain the branching
fractions B(B --> D tau- nubar) = (0.86 +/- 0.24 +/- 0.11 +/- 0.06)% and B(B
--> D* tau- nubar) = (1.62 +/- 0.31 +/- 0.10 +/- 0.05)% (normalized for the
B0bar), where the uncertainties are statistical, systematic, and
normalization-mode-related.
| hep-ex | we present measurements of the semileptonic decays b d0 tau nubar b d0 tau nubar b0bar d tau nubar and b0bar d tau nubar which are potentially sensitive to nonstandard model amplitudes the data sample comprises 232x106 upsilon4s bbbar decays collected with the babar detector from a combined fit to b and b0bar channels we obtain the branching fractions bb d tau nubar 086 024 011 006 and bb d tau nubar 162 031 010 005 normalized for the b0bar where the uncertainties are statistical systematic and normalizationmoderelated | [['we', 'present', 'measurements', 'of', 'the', 'semileptonic', 'decays', 'b', 'd0', 'tau', 'nubar', 'b', 'd0', 'tau', 'nubar', 'b0bar', 'd', 'tau', 'nubar', 'and', 'b0bar', 'd', 'tau', 'nubar', 'which', 'are', 'potentially', 'sensitive', 'to', 'nonstandard', 'model', 'amplitudes', 'the', 'data', 'sample', 'comprises', '232x106', 'upsilon4s', 'bbbar', 'decays', 'collected', 'with', 'the', 'babar', 'detector', 'from', 'a', 'combined', 'fit', 'to', 'b', 'and', 'b0bar', 'channels', 'we', 'obtain', 'the', 'branching', 'fractions', 'bb', 'd', 'tau', 'nubar', '086', '024', '011', '006', 'and', 'bb', 'd', 'tau', 'nubar', '162', '031', '010', '005', 'normalized', 'for', 'the', 'b0bar', 'where', 'the', 'uncertainties', 'are', 'statistical', 'systematic', 'and', 'normalizationmoderelated']] | [-0.09651224200423786, 0.2803572617770954, -0.0068156331370788055, 0.0674323143715831, -0.027313015964310402, -0.23659761234497032, 0.19512303254631316, 0.20515627547263585, -0.21505822380469447, -0.26046962470843876, -0.07480706215632715, -0.5349542147041052, 0.17900490806834107, 0.13132756217329325, 0.08632340303611481, 0.15474692333741222, 0.1815943002198012, -0.05348446918116219, -0.06896810723340203, -0.15797786323765786, 0.022325746294903172, -0.06578460955542736, 0.15687654591058434, 0.0035674361961668937, -0.14650121458468895, -0.009170473125046012, -0.19736788800821223, -0.16183450492634172, -0.3075177871686374, -0.03553464885629799, 0.1703298580377823, 0.12841029042891902, 0.011770989478233901, -0.20987181681241432, 0.15328356619367653, 0.24495384670076784, 0.16206947429341145, -0.10508479764176554, 0.11081719718573765, -0.4732477503946458, 0.23027785613747506, -0.14782292463270755, 0.06853168176208761, -0.0309145688346919, 0.2128217202964528, -0.21435107067013268, -0.5090850372638168, 0.19428233856378102, -0.11548148431740272, 0.11905456434978151, 0.018451209032865262, -0.41891963631128787, -0.010287803900160495, -0.08126728898770678, 0.0730973297352742, 0.23721567799883156, 0.19572427181189817, 0.031025630122200512, -0.14303472248473387, 0.3680717686014571, -0.09476303065666693, -0.13747126369026386, 0.13973196651037226, -0.3157362385556616, -0.13785235524370237, 0.21921010857084017, 0.31501332379278096, 0.03780729911656751, -0.2567689634495597, 0.17385064420054785, 0.00825768447984224, 0.21708100147802253, 0.05626250104443438, 0.1039749897170769, 0.16581565317237515, 0.19351883585853824, -0.10393737124857204, -0.028855434003695526, -0.2620805208357158, 0.13827462946118294, -0.4114025295377527, -0.12148092299078901, 0.013174069681386838, 0.19823086382714153, -0.1021354139840027, 0.010629936421140173, 0.32517715283915744, -0.05170735046428082, 0.4242750853942386, 0.061716219912090434, 0.24317256924321598, 0.00852431803433246, -0.03643984609114905, 0.052040637377114306, 0.2808906151110242, 0.28946100122926904, 0.138630639008332, -0.3382001207611556, 0.029220285076091344, -0.05258977436728176] |
709.1699 | Efficient Tabling Mechanisms for Transaction Logic Programs | In this paper we present efficient evaluation algorithms for the Horn
Transaction Logic (a generalization of the regular Horn logic programs with
state updates). We present two complementary methods for optimizing the
implementation of Transaction Logic. The first method is based on tabling and
we modified the proof theory to table calls and answers on states (practically,
equivalent to dynamic programming). The call-answer table is indexed on the
call and a signature of the state in which the call was made. The answer
columns contain the answer unification and a signature of the state after the
call was executed. The states are signed efficiently using a technique based on
tries and counting. The second method is based on incremental evaluation and it
applies when the data oracle contains derived relations. The deletions and
insertions (executed in the transaction oracle) change the state of the
database. Using the heuristic of inertia (only a part of the state changes in
response to elementary updates), most of the time it is cheaper to compute only
the changes in the state than to recompute the entire state from scratch. The
two methods are complementary by the fact that the first method optimizes the
evaluation when a call is repeated in the same state, and the second method
optimizes the evaluation of a new state when a call-state pair is not found by
the tabling mechanism (i.e. the first method). The proof theory of Transaction
Logic with the application of tabling and incremental evaluation is sound and
complete with respect to its model theory.
| cs.LO cs.AI | in this paper we present efficient evaluation algorithms for the horn transaction logic a generalization of the regular horn logic programs with state updates we present two complementary methods for optimizing the implementation of transaction logic the first method is based on tabling and we modified the proof theory to table calls and answers on states practically equivalent to dynamic programming the callanswer table is indexed on the call and a signature of the state in which the call was made the answer columns contain the answer unification and a signature of the state after the call was executed the states are signed efficiently using a technique based on tries and counting the second method is based on incremental evaluation and it applies when the data oracle contains derived relations the deletions and insertions executed in the transaction oracle change the state of the database using the heuristic of inertia only a part of the state changes in response to elementary updates most of the time it is cheaper to compute only the changes in the state than to recompute the entire state from scratch the two methods are complementary by the fact that the first method optimizes the evaluation when a call is repeated in the same state and the second method optimizes the evaluation of a new state when a callstate pair is not found by the tabling mechanism ie the first method the proof theory of transaction logic with the application of tabling and incremental evaluation is sound and complete with respect to its model theory | [['in', 'this', 'paper', 'we', 'present', 'efficient', 'evaluation', 'algorithms', 'for', 'the', 'horn', 'transaction', 'logic', 'a', 'generalization', 'of', 'the', 'regular', 'horn', 'logic', 'programs', 'with', 'state', 'updates', 'we', 'present', 'two', 'complementary', 'methods', 'for', 'optimizing', 'the', 'implementation', 'of', 'transaction', 'logic', 'the', 'first', 'method', 'is', 'based', 'on', 'tabling', 'and', 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709.17 | Finite temperature Mott transition in Hubbard model on anisotropic
triangular lattice | We investigate the Hubbard model on the anisotropic triangular lattice by
means of the cellular dynamical mean field theory. The phase diagram determined
in the Hubbard interaction versus temperature plane shows novel reentrant
behavior in the Mott transition due to the competition between Fermi-liquid
formation and magnetic correlations under geometrical frustration. We
demonstrate that the reentrant behavior is characteristic of the Mott
transition with intermediate geometrical frustration and indeed consistent with
recent experimental results of organic materials.
| cond-mat.str-el | we investigate the hubbard model on the anisotropic triangular lattice by means of the cellular dynamical mean field theory the phase diagram determined in the hubbard interaction versus temperature plane shows novel reentrant behavior in the mott transition due to the competition between fermiliquid formation and magnetic correlations under geometrical frustration we demonstrate that the reentrant behavior is characteristic of the mott transition with intermediate geometrical frustration and indeed consistent with recent experimental results of organic materials | [['we', 'investigate', 'the', 'hubbard', 'model', 'on', 'the', 'anisotropic', 'triangular', 'lattice', 'by', 'means', 'of', 'the', 'cellular', 'dynamical', 'mean', 'field', 'theory', 'the', 'phase', 'diagram', 'determined', 'in', 'the', 'hubbard', 'interaction', 'versus', 'temperature', 'plane', 'shows', 'novel', 'reentrant', 'behavior', 'in', 'the', 'mott', 'transition', 'due', 'to', 'the', 'competition', 'between', 'fermiliquid', 'formation', 'and', 'magnetic', 'correlations', 'under', 'geometrical', 'frustration', 'we', 'demonstrate', 'that', 'the', 'reentrant', 'behavior', 'is', 'characteristic', 'of', 'the', 'mott', 'transition', 'with', 'intermediate', 'geometrical', 'frustration', 'and', 'indeed', 'consistent', 'with', 'recent', 'experimental', 'results', 'of', 'organic', 'materials']] | [-0.1904126941517461, 0.22983545017150508, -0.07126247145646772, 0.06552321428293967, -0.03341590654854844, -0.1467497703731181, 0.07476532631462997, 0.37379151014248274, -0.26056860718730984, -0.26478961061734657, -0.006635615242306481, -0.3036971011186962, -0.22557480662287055, 0.10159222387055589, 0.03999770580270848, -0.025286460017132296, -0.07693526078644511, -0.041897346477278254, -0.13854860318159418, -0.18665754683194802, 0.31893831836785397, -0.001320030473704849, 0.32271465480134087, 0.12661814176879654, 0.014995297320283853, 0.026221327731603537, 0.15777629686446934, 0.0755366672846404, -0.2393350419804776, 0.022326154585976105, 0.19954242601207542, -0.09887895649057124, 0.14115740091527823, -0.3999112147063791, -0.22872555969500696, 0.012685876019153889, 0.1293409700768504, 0.12107282398002488, -0.07657524151878746, -0.31254108583965856, -0.027037082554458025, -0.17981898693017082, -0.12054726220788313, -0.10397515774934322, -0.04271857899329444, 0.028090995669897114, -0.2611832641815017, 0.14114443853787786, 0.057594946009188575, 0.18881881251544147, -0.11743523875348173, -0.10916716811041553, -0.051571108473392274, 0.07800622014691691, 0.04617418892615076, 0.06159352079977269, 0.11859484699058842, -0.16853443767827053, -0.11038095199853762, 0.39596472392705356, -0.029458896539706205, -0.04573334514748535, 0.21434821521065064, -0.22442556926738713, -0.06785467651660566, 0.17579629521381546, 0.08451012179690909, 0.008444222996567751, -0.08388830070662034, 0.08456392939256915, -0.018875483036428303, 0.18380436458467664, -0.0637033868024682, 0.05280888839564347, 0.2736273505180687, 0.23121907159250665, 0.010650497389497695, 0.22163021809107006, -0.0830413685875715, -0.19669776232671235, -0.2175990923416692, -0.09939345356996183, -0.23656598432443116, 0.016160923062352003, -0.15070711964002037, -0.20110889335537885, 0.3925348957153884, 0.1983303892934187, 0.19717680948314728, -0.05363083703370838, 0.1901339014335203, 0.09862041012565424, 0.003492681769194541, -0.01662510009361552, 0.25962378556368415, 0.17116376785138113, 0.11924935345743577, -0.34846820645397164, 0.08393641503969232, 0.10707482857049092] |
709.1701 | Enrichment of Qualitative Beliefs for Reasoning under Uncertainty | This paper deals with enriched qualitative belief functions for reasoning
under uncertainty and for combining information expressed in natural language
through linguistic labels. In this work, two possible enrichments (quantitative
and/or qualitative) of linguistic labels are considered and operators
(addition, multiplication, division, etc) for dealing with them are proposed
and explained. We denote them $qe$-operators, $qe$ standing for
"qualitative-enriched" operators. These operators can be seen as a direct
extension of the classical qualitative operators ($q$-operators) proposed
recently in the Dezert-Smarandache Theory of plausible and paradoxist reasoning
(DSmT). $q$-operators are also justified in details in this paper. The
quantitative enrichment of linguistic label is a numerical supporting degree in
$[0,\infty)$, while the qualitative enrichment takes its values in a finite
ordered set of linguistic values. Quantitative enrichment is less precise than
qualitative enrichment, but it is expected more close with what human experts
can easily provide when expressing linguistic labels with supporting degrees.
Two simple examples are given to show how the fusion of qualitative-enriched
belief assignments can be done.
| cs.AI | this paper deals with enriched qualitative belief functions for reasoning under uncertainty and for combining information expressed in natural language through linguistic labels in this work two possible enrichments quantitative andor qualitative of linguistic labels are considered and operators addition multiplication division etc for dealing with them are proposed and explained we denote them qeoperators qe standing for qualitativeenriched operators these operators can be seen as a direct extension of the classical qualitative operators qoperators proposed recently in the dezertsmarandache theory of plausible and paradoxist reasoning dsmt qoperators are also justified in details in this paper the quantitative enrichment of linguistic label is a numerical supporting degree in 0infty while the qualitative enrichment takes its values in a finite ordered set of linguistic values quantitative enrichment is less precise than qualitative enrichment but it is expected more close with what human experts can easily provide when expressing linguistic labels with supporting degrees two simple examples are given to show how the fusion of qualitativeenriched belief assignments can be done | [['this', 'paper', 'deals', 'with', 'enriched', 'qualitative', 'belief', 'functions', 'for', 'reasoning', 'under', 'uncertainty', 'and', 'for', 'combining', 'information', 'expressed', 'in', 'natural', 'language', 'through', 'linguistic', 'labels', 'in', 'this', 'work', 'two', 'possible', 'enrichments', 'quantitative', 'andor', 'qualitative', 'of', 'linguistic', 'labels', 'are', 'considered', 'and', 'operators', 'addition', 'multiplication', 'division', 'etc', 'for', 'dealing', 'with', 'them', 'are', 'proposed', 'and', 'explained', 'we', 'denote', 'them', 'qeoperators', 'qe', 'standing', 'for', 'qualitativeenriched', 'operators', 'these', 'operators', 'can', 'be', 'seen', 'as', 'a', 'direct', 'extension', 'of', 'the', 'classical', 'qualitative', 'operators', 'qoperators', 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709.1702 | High-spin structure and Band Termination in $^{103}$Cd | Excited states of the neutron deficient $^{103}$Cd nucleus have been
investigated via the $^{72}$Ge($^{35}$Cl, p3n) reaction at beam energy of 135
MeV by use of in-beam spectroscopic methods. Gamma rays depopulating the
excited states were detected using the Gammasphere spectrometer with high-fold
$\gamma$-ray coincidences. A quadrupole $\gamma$-ray coincidence analysis
($\gamma^{4}$) has been used to extend the known level scheme. The positive
parity levels have been established up to $J = 35/2\hbar$ and $E_{x} = 7.071$
MeV. In addition to the observation of highly-fragmented level scheme belonging
to the positive-parity sequences at E$_{x}\sim$ 5 MeV, the termination of a
negative-parity sequence connected by $E2$ transitions has been established at
$J = 47/2 \hbar$ and $E_{x} = 11.877$ MeV. The experimental results
corresponding to both the positive- and negative-parity sequences have been
theoretically interpreted in the framework of the core particle coupling model.
Evidence is presented for a shape change from collective prolate to
non-collective oblate above the $J^{\pi} = 39/2^{-}$ (8011 keV) level and for a
smooth termination of the negative-parity band.
| nucl-ex | excited states of the neutron deficient 103cd nucleus have been investigated via the 72ge35cl p3n reaction at beam energy of 135 mev by use of inbeam spectroscopic methods gamma rays depopulating the excited states were detected using the gammasphere spectrometer with highfold gammaray coincidences a quadrupole gammaray coincidence analysis gamma4 has been used to extend the known level scheme the positive parity levels have been established up to j 352hbar and e_x 7071 mev in addition to the observation of highlyfragmented level scheme belonging to the positiveparity sequences at e_xsim 5 mev the termination of a negativeparity sequence connected by e2 transitions has been established at j 472 hbar and e_x 11877 mev the experimental results corresponding to both the positive and negativeparity sequences have been theoretically interpreted in the framework of the core particle coupling model evidence is presented for a shape change from collective prolate to noncollective oblate above the jpi 392 8011 kev level and for a smooth termination of the negativeparity band | [['excited', 'states', 'of', 'the', 'neutron', 'deficient', '103cd', 'nucleus', 'have', 'been', 'investigated', 'via', 'the', '72ge35cl', 'p3n', 'reaction', 'at', 'beam', 'energy', 'of', '135', 'mev', 'by', 'use', 'of', 'inbeam', 'spectroscopic', 'methods', 'gamma', 'rays', 'depopulating', 'the', 'excited', 'states', 'were', 'detected', 'using', 'the', 'gammasphere', 'spectrometer', 'with', 'highfold', 'gammaray', 'coincidences', 'a', 'quadrupole', 'gammaray', 'coincidence', 'analysis', 'gamma4', 'has', 'been', 'used', 'to', 'extend', 'the', 'known', 'level', 'scheme', 'the', 'positive', 'parity', 'levels', 'have', 'been', 'established', 'up', 'to', 'j', '352hbar', 'and', 'e_x', '7071', 'mev', 'in', 'addition', 'to', 'the', 'observation', 'of', 'highlyfragmented', 'level', 'scheme', 'belonging', 'to', 'the', 'positiveparity', 'sequences', 'at', 'e_xsim', '5', 'mev', 'the', 'termination', 'of', 'a', 'negativeparity', 'sequence', 'connected', 'by', 'e2', 'transitions', 'has', 'been', 'established', 'at', 'j', '472', 'hbar', 'and', 'e_x', '11877', 'mev', 'the', 'experimental', 'results', 'corresponding', 'to', 'both', 'the', 'positive', 'and', 'negativeparity', 'sequences', 'have', 'been', 'theoretically', 'interpreted', 'in', 'the', 'framework', 'of', 'the', 'core', 'particle', 'coupling', 'model', 'evidence', 'is', 'presented', 'for', 'a', 'shape', 'change', 'from', 'collective', 'prolate', 'to', 'noncollective', 'oblate', 'above', 'the', 'jpi', '392', '8011', 'kev', 'level', 'and', 'for', 'a', 'smooth', 'termination', 'of', 'the', 'negativeparity', 'band']] | [-0.07033800511436432, 0.18286227186447676, -0.04654016777153314, 0.11304839003213195, 0.00876280809415844, -0.13286444277695889, 0.07606201360087092, 0.4179510567454422, -0.1784999587883552, -0.34719928796988847, -0.0168833832546436, -0.3114557005875047, 0.019648729322724184, 0.1439189761928312, 0.08750876245299741, 0.061772527926566324, 0.04888566635818508, 0.03734967805175755, -0.03241746399094755, -0.16241155595902307, 0.26809624757298484, 0.10683364603879317, 0.24227802356911543, 0.08688789087574843, 0.0751312476781976, -0.06167076830166456, 0.05046964600190239, -0.09480520960751851, -0.13227195460525043, 0.06669992643317688, 0.27674638172875177, 0.04189836572849854, 0.19660580714684237, -0.32747731211085646, -0.1719057645001478, 0.08076372147031105, 0.14541395924657396, 0.06854756101076316, -0.034838475699173345, -0.35692212716588434, 0.11389041837281401, -0.18861899529246953, -0.16020821096410728, -0.06103785833894457, 0.049111549317860194, 0.030637795319370692, -0.19789141149453396, 0.09601432338368686, 0.015811416466937126, 0.07280914034876011, -0.11751815565399029, -0.24609604918942699, -0.0315410477759422, 0.06903685066474122, 0.05939404151048042, 0.06710056481962004, 0.10081512719955084, -0.02896309160164692, -0.14838141369568947, 0.3517685048780023, -0.02884136787000692, -0.08203798121298259, 0.12085569992591187, -0.1532321843309855, -0.17185857101290855, 0.2573597018706536, 0.09610462013878068, 0.10704100464687408, -0.0956207272748949, 0.09836826652563734, -0.000955721780763201, 0.2081125450947281, 0.1425180534199583, 0.008478177383354624, 0.18190511396307052, 0.11548537193979107, 0.00010540379495389245, 0.08191611551468805, -0.19714879091395615, -0.028238212755652813, -0.25900243351868585, -0.07352184229449855, -0.16858079760341244, 0.07126473953563767, 0.04942035759431632, -0.056332274224409985, 0.399153048358702, -0.008136293332461478, 0.1833899956117472, -0.02547032224254554, 0.23058977707306733, 0.1253581079742256, 0.060218500092028164, 0.04065328457468898, 0.3273343448849313, 0.19842632643076, 0.07092182095632625, -0.2388298458320165, 0.03013660662892456, 0.016980309519659047] |
709.1703 | Existence, uniqueness and approximation of a stochastic Schr\"odinger
equation: the diffusive case | Recent developments in quantum physics make heavy use of so-called "quantum
trajectories." Mathematically, this theory gives rise to "stochastic
Schr\"odinger equations", that is, perturbation of Schr\"odinger-type equations
under the form of stochastic differential equations. But such equations are in
general not of the usual type as considered in the literature. They pose a
serious problem in terms of justifying the existence and uniqueness of a
solution, justifying the physical pertinence of the equations. In this article
we concentrate on a particular case: the diffusive case, for a two-level
system. We prove existence and uniqueness of the associated stochastic
Schr\"odinger equation. We physically justify the equations by proving that
they are a continuous-time limit of a concrete physical procedure for obtaining
a quantum trajectory.
| math.PR math-ph math.MP quant-ph | recent developments in quantum physics make heavy use of socalled quantum trajectories mathematically this theory gives rise to stochastic schrodinger equations that is perturbation of schrodingertype equations under the form of stochastic differential equations but such equations are in general not of the usual type as considered in the literature they pose a serious problem in terms of justifying the existence and uniqueness of a solution justifying the physical pertinence of the equations in this article we concentrate on a particular case the diffusive case for a twolevel system we prove existence and uniqueness of the associated stochastic schrodinger equation we physically justify the equations by proving that they are a continuoustime limit of a concrete physical procedure for obtaining a quantum trajectory | [['recent', 'developments', 'in', 'quantum', 'physics', 'make', 'heavy', 'use', 'of', 'socalled', 'quantum', 'trajectories', 'mathematically', 'this', 'theory', 'gives', 'rise', 'to', 'stochastic', 'schrodinger', 'equations', 'that', 'is', 'perturbation', 'of', 'schrodingertype', 'equations', 'under', 'the', 'form', 'of', 'stochastic', 'differential', 'equations', 'but', 'such', 'equations', 'are', 'in', 'general', 'not', 'of', 'the', 'usual', 'type', 'as', 'considered', 'in', 'the', 'literature', 'they', 'pose', 'a', 'serious', 'problem', 'in', 'terms', 'of', 'justifying', 'the', 'existence', 'and', 'uniqueness', 'of', 'a', 'solution', 'justifying', 'the', 'physical', 'pertinence', 'of', 'the', 'equations', 'in', 'this', 'article', 'we', 'concentrate', 'on', 'a', 'particular', 'case', 'the', 'diffusive', 'case', 'for', 'a', 'twolevel', 'system', 'we', 'prove', 'existence', 'and', 'uniqueness', 'of', 'the', 'associated', 'stochastic', 'schrodinger', 'equation', 'we', 'physically', 'justify', 'the', 'equations', 'by', 'proving', 'that', 'they', 'are', 'a', 'continuoustime', 'limit', 'of', 'a', 'concrete', 'physical', 'procedure', 'for', 'obtaining', 'a', 'quantum', 'trajectory']] | [-0.1428065332338002, 0.06231704620053855, -0.09329216487561845, 0.09133625547950558, -0.08774952925135934, -0.1334805441603852, 0.000365167531578582, 0.2525282743258205, -0.27173696681894965, -0.22941926303433208, 0.10626880554160542, -0.2679287249722132, -0.18143768848215297, 0.19777230432302487, -0.0829122923996027, 0.09319297422662498, 0.07948622573734965, 0.024433057579189177, -0.08887361711633157, -0.2161240239695805, 0.3404997521216368, -0.03160299502248777, 0.22345799940630673, 0.031551127077356675, 0.1431008996593395, -0.005233848367143816, 0.01105094603755004, 0.029708539427265646, -0.14668356607030658, 0.1014127484494366, 0.2510913562756486, 0.09898927724329619, 0.3264083017110522, -0.4759473978443359, -0.22503556921411821, 0.08362554854190932, 0.12935980202604608, 0.1920961471694726, -0.0632898532208131, -0.29910353680588003, 0.04693192861050489, -0.1400503832071961, -0.22763105524643287, -0.07649311550885318, -0.004566213602533307, 0.04384454004315099, -0.23867903878094582, 0.1127704772189623, 0.10901636356200145, 0.011186386375286714, -0.1062189396641149, -0.04033411389436361, 0.037187021045862294, 0.06082896667918781, 0.037418365966892096, -0.05579111540341765, 0.04795233527107573, -0.1544272487082072, -0.1242458301528198, 0.4094601531656898, -0.06573495057570498, -0.2908316599129419, 0.1601152893276961, -0.09323173263715959, -0.16037877122455133, 0.08456347382256413, 0.16199971576471153, 0.15656549595599253, -0.19637493930787334, 0.16182270770176974, -0.07933661336366965, 0.09699216172850904, 0.04855054675987581, 0.050893152361675124, 0.14640062580233423, 0.14753698076053365, 0.08939472576073272, 0.10505226556196566, 0.03516453513222542, -0.21172150198703374, -0.38811571385741717, -0.16281744672791895, -0.10333782071020545, 0.1410997727057921, -0.07122645463498226, -0.2198307045954999, 0.36621099745105135, 0.19407366702287662, 0.15799335302497314, 0.05163786810164044, 0.24542602289437762, 0.22940309350927762, -0.054428602686167005, 0.04013403738296129, 0.24442280031649805, 0.1938410923339245, 0.1419900882330428, -0.2043721132847382, 0.05267817071710933, 0.14643825673899516] |
709.1704 | Quantum simulation of the single-particle Schrodinger equation | The working of a quantum computer is described in the concrete example of a
quantum simulator of the single-particle Schrodinger equation. We show that a
register of 6-10 qubits is sufficient to realize a useful quantum simulator
capable of solving in an efficient way standard quantum mechanical problems.
| quant-ph physics.gen-ph | the working of a quantum computer is described in the concrete example of a quantum simulator of the singleparticle schrodinger equation we show that a register of 610 qubits is sufficient to realize a useful quantum simulator capable of solving in an efficient way standard quantum mechanical problems | [['the', 'working', 'of', 'a', 'quantum', 'computer', 'is', 'described', 'in', 'the', 'concrete', 'example', 'of', 'a', 'quantum', 'simulator', 'of', 'the', 'singleparticle', 'schrodinger', 'equation', 'we', 'show', 'that', 'a', 'register', 'of', '610', 'qubits', 'is', 'sufficient', 'to', 'realize', 'a', 'useful', 'quantum', 'simulator', 'capable', 'of', 'solving', 'in', 'an', 'efficient', 'way', 'standard', 'quantum', 'mechanical', 'problems']] | [-0.1413082127692178, 0.15581349703794936, -0.09613429832582672, 0.07233505240583327, -0.0358569478460898, -0.2371822177277257, -0.01437017943438453, 0.32245154327635345, -0.23782990337349474, -0.2898664418219899, 0.022867428483247448, -0.21665262317886422, -0.18268826697021723, 0.32071512565016747, -0.04048804302389423, 0.1523219202257072, 0.10443824613078807, 0.02827207453083247, -0.06611211717730232, -0.22112903581000865, 0.22689266029434899, 0.05318195513488414, 0.2417314445677524, 0.026624479350478698, 0.16789920990898585, -0.023390379511207964, 0.07536109922511969, -0.01321647878891478, -0.08528606023734635, 0.12323361895202349, 0.30699173908215016, 0.11044864484574646, 0.30358906377417344, -0.4760907328842829, -0.19825185098064443, 0.055800076380061604, 0.09749214662588201, 0.20479575061472133, -0.07528486422961578, -0.3097803915928428, 0.048233602894470096, -0.1953535741971185, -0.16908244227912897, -0.08953709919205721, -0.006940314429812133, -0.05451711119773487, -0.2360289555605656, 0.03570405192052325, 0.05583251501669414, 0.0658681609784253, 0.0031463808457677564, 0.009575457952450961, 0.10612480303583045, 0.1250189538113773, -0.19018623831410272, -0.0057564488088246435, 0.13271421509368034, -0.16553195358816689, -0.20986233719546968, 0.441985497251153, -0.02406819302511091, -0.20374351573021462, 0.1458967562066391, -0.02894570119678974, -0.10383562384716545, 0.039296736261652164, 0.14125895843608305, 0.10613481925490002, -0.17063956474885345, 0.14617713030520463, -0.04335622367216274, 0.216548025336427, -0.03149082862849658, 0.03647794047719799, 0.19359577942426162, 0.17965051896074632, 0.06518638694736485, 0.22065410712578645, -0.0011089683199922244, -0.1901247474985818, -0.3296589405896763, -0.24401351751293987, -0.2599734745065992, 0.13880781992338598, -0.05008194109541364, -0.1732179562871655, 0.414294051239267, 0.17868048439898607, 0.1292672161362134, -0.030497449097917222, 0.3086774718637268, 0.17032800658853375, 0.04787521502779176, 0.06544489440663408, 0.16888058084684113, 0.17583500933930432, 0.0851610463578254, -0.27435913729520206, -0.050295573067463316, 0.02115619966449837] |
709.1705 | Charge-transfer exciton in La2CuO4 probed with resonant inelastic x-ray
scattering | We report a high-resolution resonant inelastic x-ray scattering study of
La2CuO4. A number of spectral features are identified that were not clearly
visible in earlier lower-resolution data. The momentum dependence of the
spectral weight and the dispersion of the lowest energy excitation across the
insulating gap have been measured in detail. The temperature dependence of the
spectral features was also examined. The observed charge transfer edge shift,
along with the low dispersion of the first charge transfer excitation are
attributed to the lattice motion being coupled to the electronic system. In
addition, we observe a dispersionless feature at 1.8 eV, which is associated
with a d-d crystal field excitation.
| cond-mat.str-el cond-mat.dis-nn | we report a highresolution resonant inelastic xray scattering study of la2cuo4 a number of spectral features are identified that were not clearly visible in earlier lowerresolution data the momentum dependence of the spectral weight and the dispersion of the lowest energy excitation across the insulating gap have been measured in detail the temperature dependence of the spectral features was also examined the observed charge transfer edge shift along with the low dispersion of the first charge transfer excitation are attributed to the lattice motion being coupled to the electronic system in addition we observe a dispersionless feature at 18 ev which is associated with a dd crystal field excitation | [['we', 'report', 'a', 'highresolution', 'resonant', 'inelastic', 'xray', 'scattering', 'study', 'of', 'la2cuo4', 'a', 'number', 'of', 'spectral', 'features', 'are', 'identified', 'that', 'were', 'not', 'clearly', 'visible', 'in', 'earlier', 'lowerresolution', 'data', 'the', 'momentum', 'dependence', 'of', 'the', 'spectral', 'weight', 'and', 'the', 'dispersion', 'of', 'the', 'lowest', 'energy', 'excitation', 'across', 'the', 'insulating', 'gap', 'have', 'been', 'measured', 'in', 'detail', 'the', 'temperature', 'dependence', 'of', 'the', 'spectral', 'features', 'was', 'also', 'examined', 'the', 'observed', 'charge', 'transfer', 'edge', 'shift', 'along', 'with', 'the', 'low', 'dispersion', 'of', 'the', 'first', 'charge', 'transfer', 'excitation', 'are', 'attributed', 'to', 'the', 'lattice', 'motion', 'being', 'coupled', 'to', 'the', 'electronic', 'system', 'in', 'addition', 'we', 'observe', 'a', 'dispersionless', 'feature', 'at', '18', 'ev', 'which', 'is', 'associated', 'with', 'a', 'dd', 'crystal', 'field', 'excitation']] | [-0.13688219598400483, 0.15579989222156038, -0.08602904515563074, 0.04080104216967428, -0.03863139407188042, -0.07885969820680148, 0.03070764005859169, 0.44910137520231513, -0.26074634953786474, -0.33304711610694, 0.02462440223428805, -0.33498420270689583, -0.0757363207997122, 0.12681832102580218, 0.056629582301824605, 0.03118595489463128, 0.02658997322090927, 0.013009592025634755, -0.08007411126243891, -0.14819047230919566, 0.3261335358673006, 0.07019253542065756, 0.30751345381824247, 0.09312922347693729, 0.03280491618238766, -0.0156353929148423, 0.0014682174227713103, -0.018286456452221225, -0.12526572579252288, 0.08872898484349524, 0.2598565722379936, -0.06071846595743176, 0.18213329898671957, -0.3633409356954721, -0.23099878788370332, 0.014700736551451574, 0.1603163994353162, 0.1031187568660911, -0.05757596599228612, -0.21668640657439145, 0.04351440355728526, -0.1464221147700734, -0.11896530128887282, -0.0480751846019828, -0.00826024507074147, 0.03882359647098074, -0.205842099699337, 0.1206916764422871, 0.021339382309842548, 0.08422921574888152, -0.13753624846987905, -0.12546132397389365, -0.11642318578231908, 0.06694559008310284, 0.020774018230907822, 0.0015918094592186015, 0.11722079016387872, -0.10351224374474632, -0.0934043041336427, 0.33600832530993696, -0.0747840199000074, -0.07860255764301764, 0.16392022648125615, -0.21715377434370442, -0.09203930251159355, 0.23045531351871174, 0.11062059311757992, 0.09049100206669318, -0.14202375144808801, 0.04894880869467486, -0.021664096708964863, 0.19957646219072642, 0.09071949950564619, 0.11061406813224418, 0.21623948330076737, 0.161755520500106, -0.02691403918028083, 0.13522843576416613, -0.20655614845486733, -0.03521792341126215, -0.23223971642143681, -0.1245818750488512, -0.20981218521867734, 0.0370252577444045, -0.020294544265531816, -0.13855843814175337, 0.4388781570265531, 0.11394254601808317, 0.2552270384189254, -0.037441551043713946, 0.25177765255708484, 0.18585331470560318, 0.10099381880424575, 0.05021446098257369, 0.29349716672024456, 0.14663788937074945, 0.1389791554677377, -0.32623027091196505, -1.9586797528088504e-05, -0.034196183999675674] |
709.1706 | Substrate-induced band gap opening in epitaxial graphene | Graphene has shown great application potentials as the host material for next
generation electronic devices. However, despite its intriguing properties, one
of the biggest hurdles for graphene to be useful as an electronic material is
its lacking of an energy gap in the electronic spectra. This, for example,
prevents the use of graphene in making transistors. Although several proposals
have been made to open a gap in graphene's electronic spectra, they all require
complex engineering of the graphene layer. Here we show that when graphene is
epitaxially grown on the SiC substrate, a gap of ~ 0.26 is produced. This gap
decreases as the sample thickness increases and eventually approaches zero when
the number of layers exceeds four. We propose that the origin of this gap is
the breaking of sublattice symmetry owing to the graphene-substrate
interaction. We believe our results highlight a promising direction for band
gap engineering of graphene.
| cond-mat.mtrl-sci cond-mat.mes-hall cond-mat.str-el | graphene has shown great application potentials as the host material for next generation electronic devices however despite its intriguing properties one of the biggest hurdles for graphene to be useful as an electronic material is its lacking of an energy gap in the electronic spectra this for example prevents the use of graphene in making transistors although several proposals have been made to open a gap in graphenes electronic spectra they all require complex engineering of the graphene layer here we show that when graphene is epitaxially grown on the sic substrate a gap of 026 is produced this gap decreases as the sample thickness increases and eventually approaches zero when the number of layers exceeds four we propose that the origin of this gap is the breaking of sublattice symmetry owing to the graphenesubstrate interaction we believe our results highlight a promising direction for band gap engineering of graphene | [['graphene', 'has', 'shown', 'great', 'application', 'potentials', 'as', 'the', 'host', 'material', 'for', 'next', 'generation', 'electronic', 'devices', 'however', 'despite', 'its', 'intriguing', 'properties', 'one', 'of', 'the', 'biggest', 'hurdles', 'for', 'graphene', 'to', 'be', 'useful', 'as', 'an', 'electronic', 'material', 'is', 'its', 'lacking', 'of', 'an', 'energy', 'gap', 'in', 'the', 'electronic', 'spectra', 'this', 'for', 'example', 'prevents', 'the', 'use', 'of', 'graphene', 'in', 'making', 'transistors', 'although', 'several', 'proposals', 'have', 'been', 'made', 'to', 'open', 'a', 'gap', 'in', 'graphenes', 'electronic', 'spectra', 'they', 'all', 'require', 'complex', 'engineering', 'of', 'the', 'graphene', 'layer', 'here', 'we', 'show', 'that', 'when', 'graphene', 'is', 'epitaxially', 'grown', 'on', 'the', 'sic', 'substrate', 'a', 'gap', 'of', '026', 'is', 'produced', 'this', 'gap', 'decreases', 'as', 'the', 'sample', 'thickness', 'increases', 'and', 'eventually', 'approaches', 'zero', 'when', 'the', 'number', 'of', 'layers', 'exceeds', 'four', 'we', 'propose', 'that', 'the', 'origin', 'of', 'this', 'gap', 'is', 'the', 'breaking', 'of', 'sublattice', 'symmetry', 'owing', 'to', 'the', 'graphenesubstrate', 'interaction', 'we', 'believe', 'our', 'results', 'highlight', 'a', 'promising', 'direction', 'for', 'band', 'gap', 'engineering', 'of', 'graphene']] | [-0.14982566567681108, 0.1042462885567996, -0.031652884132539236, -0.01528423909835207, -0.042317447721337276, -0.12914725281298162, 0.08761760042980313, 0.44672648660217723, -0.3015008794143796, -0.32497030570559826, 0.05015223245446881, -0.31971065036952495, -0.1705687768602123, 0.20658497141053278, -0.015002609649673104, 0.034370995197289936, 0.044940568349945045, -0.07289067006669939, -0.08119991559612875, -0.20865344554185866, 0.294922486183544, 0.05690359181414048, 0.33366970791170997, 0.1575548019229124, 0.01955726439754168, -0.031636825130941966, 0.1096765279987206, -0.01961748969120284, -0.11791291452682344, 0.12612353906656304, 0.25160424496706885, -0.05906004613575836, 0.3042438462128242, -0.47487702871959, -0.22192124986400208, 0.015201728201160829, 0.16628792924806476, 0.16554876194180299, -0.11517306494371345, -0.21579354968387635, 0.11077234672072032, -0.1439146950499465, -0.13641338360641383, -0.05014345170930028, 0.023465463933534922, -0.03814928970687712, -0.16509697132433454, 0.021843572451422613, 0.041579720609200496, 0.04945993433138938, -0.07703703391026162, -0.1617490218610813, -0.08253764326839397, 0.12068397379674328, 0.08577417637706579, 0.020141321600337204, 0.17057582319132053, -0.16116092944983393, -0.09801190220750869, 0.413649887945503, -0.012992599801315615, -0.10492682347695033, 0.18400791662279517, -0.11536334197347363, -0.09202420058757221, 0.10134117118703823, 0.09728864945122041, 0.08198199603706598, -0.1317323263263097, 0.10282121251841697, -0.006855963549266259, 0.19134582716894025, 0.04730243816816559, 0.12452131021146973, 0.2543104065038885, 0.24561607818274447, 0.08664529766421765, 0.1541134959467066, -0.10447884298240145, 0.013667102127025524, -0.19317744948590795, -0.2269885972417736, -0.25352882145515954, 0.07512668091027687, -0.047262318211821065, -0.2124664791368802, 0.4415445676073432, 0.17506368880781034, 0.17257367794091502, -0.0503618554243197, 0.24753003179095687, 0.10031422656184684, 0.132278646362635, 0.012894685715436935, 0.3013628369818131, 0.13191499630610148, 0.10381229707660775, -0.18700303266445795, 0.09089697608258575, -0.06605367899096261] |
709.1707 | Magnetic Behavior of Single La$_{0.67}$Ca$_{0.33}$MnO$_3$ Nanotubes:
Surface and Shape Effects | We report magnetization experiments in two magnetically isolated
ferromagnetic nanotubes of perovskite La$_{0.67}$Ca$_{0.33}$MnO$_3$. The
results show that the magnetic anisotropy is determined by the sample shape
although the coercive field is reduced by incoherent magnetization reversal
modes. The temperature dependence of the magnetization reveals that the
magnetic behavior is dominated by grain surface properties. These measurements
were acquired using a Silicon micro-mechanical oscillator working in its
resonant mode. The sensitivity was enough to measure the magnetic properties of
these two samples with a mass lower than 14 picograms and to obtain for the
first time the magnetization loop for one isolated nanotube.
| cond-mat.mes-hall cond-mat.mtrl-sci | we report magnetization experiments in two magnetically isolated ferromagnetic nanotubes of perovskite la_067ca_033mno_3 the results show that the magnetic anisotropy is determined by the sample shape although the coercive field is reduced by incoherent magnetization reversal modes the temperature dependence of the magnetization reveals that the magnetic behavior is dominated by grain surface properties these measurements were acquired using a silicon micromechanical oscillator working in its resonant mode the sensitivity was enough to measure the magnetic properties of these two samples with a mass lower than 14 picograms and to obtain for the first time the magnetization loop for one isolated nanotube | [['we', 'report', 'magnetization', 'experiments', 'in', 'two', 'magnetically', 'isolated', 'ferromagnetic', 'nanotubes', 'of', 'perovskite', 'la_067ca_033mno_3', 'the', 'results', 'show', 'that', 'the', 'magnetic', 'anisotropy', 'is', 'determined', 'by', 'the', 'sample', 'shape', 'although', 'the', 'coercive', 'field', 'is', 'reduced', 'by', 'incoherent', 'magnetization', 'reversal', 'modes', 'the', 'temperature', 'dependence', 'of', 'the', 'magnetization', 'reveals', 'that', 'the', 'magnetic', 'behavior', 'is', 'dominated', 'by', 'grain', 'surface', 'properties', 'these', 'measurements', 'were', 'acquired', 'using', 'a', 'silicon', 'micromechanical', 'oscillator', 'working', 'in', 'its', 'resonant', 'mode', 'the', 'sensitivity', 'was', 'enough', 'to', 'measure', 'the', 'magnetic', 'properties', 'of', 'these', 'two', 'samples', 'with', 'a', 'mass', 'lower', 'than', '14', 'picograms', 'and', 'to', 'obtain', 'for', 'the', 'first', 'time', 'the', 'magnetization', 'loop', 'for', 'one', 'isolated', 'nanotube']] | [-0.15930422599080438, 0.22807930798415899, -0.048047677787276456, -0.012389543978725652, -0.04505573140055526, -0.09982660268981229, 0.0446183026275214, 0.4311734791114634, -0.22260037252642945, -0.34371380705167265, 0.06091434505138108, -0.29645962308060525, -0.06176784849159565, 0.2575395545493081, 0.05943799265386427, 0.014779157904045218, 0.012859405511442353, 0.0010225806732242014, -0.06606829890013471, -0.1894518889249394, 0.2753257717761467, 0.008011169083343418, 0.3038257173257971, 0.036683095600821225, 0.059243004707455194, -0.044549604188468234, 0.10075566836395393, 0.06512325625026635, -0.14991494826587287, 0.04286624826194134, 0.19006279645734192, -0.07982411016457584, 0.17906891978711037, -0.45588170491378954, -0.16053788377172953, 0.024716516591462435, 0.10551470940859586, 0.10212554574451026, -0.06540504354508776, -0.23866796966952583, 0.0738197384937438, -0.048271596185205615, -0.14678748866529479, -0.09062915340744475, -0.010729311904915627, -0.0018777096639478615, -0.2454625322647831, 0.10130985581325185, 0.08693914725047173, 0.12104511293171741, -0.11094874004073277, -0.10321978037245572, -0.10255314753043886, 0.053624682639743765, 0.06404896413989584, 0.02813848079291775, 0.23720873343100882, -0.08255875948816538, -0.11497022794084806, 0.2925355317968163, -0.07589436399219124, -0.08628014949984693, 0.12732596452548808, -0.25665752604768116, -0.07354877770001836, 0.18840157057103865, 0.08834464309449472, 0.11940399287998968, -0.1883877660969601, 0.046018638273166934, 0.015314085527743194, 0.1857474727519587, 0.05360796843774105, 0.03600526495902872, 0.21814142055261662, 0.22029845256075337, 0.014278741092329808, 0.18483477777701018, -0.17483262965620003, -0.015383925222718687, -0.19744094678967752, -0.15526797017310837, -0.22266901711854564, 0.07542397507110282, -0.08741046070545232, -0.16305914972269653, 0.393661109100589, 0.1087629660306608, 0.18457991467314025, -0.019611958303322158, 0.28180879031253214, 0.10565075051272288, 0.08582762833890122, 0.03243182718699031, 0.3219345950923276, 0.2215230758575832, 0.1404690907391555, -0.33518327642506096, 0.0769369179410312, -0.019165767854371785] |
709.1708 | Symplectic symmetries of 4-manifolds | A study of symplectic actions of a finite group $G$ on smooth 4-manifolds is
initiated. The central new idea is the use of $G$-equivariant
Seiberg-Witten-Taubes theory in studying the structure of the fixed-point set
of these symmetries. The main result in this paper is a complete description of
the fixed-point set structure (and the action around it) of a symplectic cyclic
action of prime order on a minimal symplectic 4-manifold with $c_1^2=0$.
Comparison of this result with the case of locally linear topological actions
is made. As an application of these considerations, the triviality of many such
actions on a large class of 4-manifolds is established. In particular, we show
the triviality of homologically trivial symplectic symmetries of a $K3$ surface
(in analogy with holomorphic automorphisms). Various examples and comments
illustrating our considerations are also included.
| math.GT math.SG | a study of symplectic actions of a finite group g on smooth 4manifolds is initiated the central new idea is the use of gequivariant seibergwittentaubes theory in studying the structure of the fixedpoint set of these symmetries the main result in this paper is a complete description of the fixedpoint set structure and the action around it of a symplectic cyclic action of prime order on a minimal symplectic 4manifold with c_120 comparison of this result with the case of locally linear topological actions is made as an application of these considerations the triviality of many such actions on a large class of 4manifolds is established in particular we show the triviality of homologically trivial symplectic symmetries of a k3 surface in analogy with holomorphic automorphisms various examples and comments illustrating our considerations are also included | [['a', 'study', 'of', 'symplectic', 'actions', 'of', 'a', 'finite', 'group', 'g', 'on', 'smooth', '4manifolds', 'is', 'initiated', 'the', 'central', 'new', 'idea', 'is', 'the', 'use', 'of', 'gequivariant', 'seibergwittentaubes', 'theory', 'in', 'studying', 'the', 'structure', 'of', 'the', 'fixedpoint', 'set', 'of', 'these', 'symmetries', 'the', 'main', 'result', 'in', 'this', 'paper', 'is', 'a', 'complete', 'description', 'of', 'the', 'fixedpoint', 'set', 'structure', 'and', 'the', 'action', 'around', 'it', 'of', 'a', 'symplectic', 'cyclic', 'action', 'of', 'prime', 'order', 'on', 'a', 'minimal', 'symplectic', '4manifold', 'with', 'c_120', 'comparison', 'of', 'this', 'result', 'with', 'the', 'case', 'of', 'locally', 'linear', 'topological', 'actions', 'is', 'made', 'as', 'an', 'application', 'of', 'these', 'considerations', 'the', 'triviality', 'of', 'many', 'such', 'actions', 'on', 'a', 'large', 'class', 'of', '4manifolds', 'is', 'established', 'in', 'particular', 'we', 'show', 'the', 'triviality', 'of', 'homologically', 'trivial', 'symplectic', 'symmetries', 'of', 'a', 'k3', 'surface', 'in', 'analogy', 'with', 'holomorphic', 'automorphisms', 'various', 'examples', 'and', 'comments', 'illustrating', 'our', 'considerations', 'are', 'also', 'included']] | [-0.20988615635963184, 0.08127101021916554, -0.10159335316353436, 0.046166409070276894, -0.10933196827692827, -0.07536411042492003, 0.016434796887741826, 0.3358540613961809, -0.2760128488229004, -0.26149607270455627, 0.11686503684752857, -0.25389596345876136, -0.19184382560527397, 0.20123455731837608, -0.1516569463689047, 0.017215841764292278, 0.0630369430665038, 0.10694486579385155, -0.10459574521866752, -0.2659854065147298, 0.42922883611102935, -0.021428931858946582, 0.21092244957698814, 0.07738102768867541, 0.09817285100588881, -0.02854497534867529, -0.04381179271627273, 0.006878480753069048, -0.12071561971470825, 0.13984900043665696, 0.2703387796211599, 0.02752073880966141, 0.2018140269783951, -0.3883656077503936, -0.19373555839367546, 0.13173685989815243, 0.06628382214129583, 0.07352758083256211, -0.07439156433258122, -0.295746312926718, 0.12872672923788456, -0.17131412593620038, -0.16940689359708175, -0.10795211620323027, -0.0034371775074570035, -0.007826680701517904, -0.17910946946532064, -0.05836159052694766, 0.14552211180440525, 0.14227295363210699, -0.05501947945345249, -0.0516003383108095, -0.06491526678715374, 0.1185245586249894, 0.05135176646168719, 0.050098779270731246, 0.09567341660913914, -0.11151835995156374, -0.13977055565745972, 0.40314435652359876, -0.06225724137603625, -0.22778806091744952, 0.17642069908915392, -0.1129925730846711, -0.21200513734252874, 0.11690526722874771, 0.11571508850346306, 0.18803046020303868, -0.05738925260105935, 0.1833123133175506, -0.13128366872647415, 0.09219812090359211, 0.049351478374299054, -0.0049316010180749555, 0.15477620551897797, 0.15865397431762585, 0.09390901275797497, 0.11721014111726753, 0.02996560265900873, -0.08156079198442288, -0.40077529671087636, -0.1951679084519508, -0.1267563437038699, 0.16235893251680172, -0.09763356945942218, -0.1841505076458205, 0.4339377347713531, 0.04305844070431568, 0.18798862454662127, 0.08997667920358701, 0.22732687601819634, 0.05609057663176244, 0.0435578767453501, 0.03394599354116997, 0.14838151919391396, 0.2081489767323234, -0.0616239174442894, -0.17150842443407416, -0.05785009520017167, 0.16958495594366496] |
709.1709 | HST Observations of Chromospheres in Metal Deficient Field Giants | HST high resolution spectra of metal-deficient field giants more than double
the stars in previous studies, span about 3 magnitudes on the red giant branch,
and sample an abundance range [Fe/H]= -1 to -3. These stars, in spite of their
age and low metallicity, possess chromospheric fluxes of Mg II (2800 Angstrom)
that are within a factor of 4 of Population I stars, and give signs of a
dependence on the metal abundance at the lowest metallicities. The Mg II k-line
widths depend on luminosity and correlate with metallicity. Line profile
asymmetries reveal outflows that occur at lower luminosities (M_V = -0.8) than
detected in Ca K and H-alpha lines in metal-poor giants, suggesting mass
outflow occurs over a larger span of the red giant branch than previously
thought, and confirming that the Mg II lines are good wind diagnostics. These
results do not support a magnetically dominated chromosphere, but appear more
consistent with some sort of hydrodynamic, or acoustic heating of the outer
atmospheres.
| astro-ph | hst high resolution spectra of metaldeficient field giants more than double the stars in previous studies span about 3 magnitudes on the red giant branch and sample an abundance range feh 1 to 3 these stars in spite of their age and low metallicity possess chromospheric fluxes of mg ii 2800 angstrom that are within a factor of 4 of population i stars and give signs of a dependence on the metal abundance at the lowest metallicities the mg ii kline widths depend on luminosity and correlate with metallicity line profile asymmetries reveal outflows that occur at lower luminosities m_v 08 than detected in ca k and halpha lines in metalpoor giants suggesting mass outflow occurs over a larger span of the red giant branch than previously thought and confirming that the mg ii lines are good wind diagnostics these results do not support a magnetically dominated chromosphere but appear more consistent with some sort of hydrodynamic or acoustic heating of the outer atmospheres | [['hst', 'high', 'resolution', 'spectra', 'of', 'metaldeficient', 'field', 'giants', 'more', 'than', 'double', 'the', 'stars', 'in', 'previous', 'studies', 'span', 'about', '3', 'magnitudes', 'on', 'the', 'red', 'giant', 'branch', 'and', 'sample', 'an', 'abundance', 'range', 'feh', '1', 'to', '3', 'these', 'stars', 'in', 'spite', 'of', 'their', 'age', 'and', 'low', 'metallicity', 'possess', 'chromospheric', 'fluxes', 'of', 'mg', 'ii', '2800', 'angstrom', 'that', 'are', 'within', 'a', 'factor', 'of', '4', 'of', 'population', 'i', 'stars', 'and', 'give', 'signs', 'of', 'a', 'dependence', 'on', 'the', 'metal', 'abundance', 'at', 'the', 'lowest', 'metallicities', 'the', 'mg', 'ii', 'kline', 'widths', 'depend', 'on', 'luminosity', 'and', 'correlate', 'with', 'metallicity', 'line', 'profile', 'asymmetries', 'reveal', 'outflows', 'that', 'occur', 'at', 'lower', 'luminosities', 'm_v', '08', 'than', 'detected', 'in', 'ca', 'k', 'and', 'halpha', 'lines', 'in', 'metalpoor', 'giants', 'suggesting', 'mass', 'outflow', 'occurs', 'over', 'a', 'larger', 'span', 'of', 'the', 'red', 'giant', 'branch', 'than', 'previously', 'thought', 'and', 'confirming', 'that', 'the', 'mg', 'ii', 'lines', 'are', 'good', 'wind', 'diagnostics', 'these', 'results', 'do', 'not', 'support', 'a', 'magnetically', 'dominated', 'chromosphere', 'but', 'appear', 'more', 'consistent', 'with', 'some', 'sort', 'of', 'hydrodynamic', 'or', 'acoustic', 'heating', 'of', 'the', 'outer', 'atmospheres']] | [-0.02492961758554618, 0.15539124920169564, 0.024854704865436183, 0.10155495031873082, -0.07890964400203523, -0.09844486290168744, 0.06846516766221966, 0.4928157071003736, -0.06355269924416661, -0.38192259363557507, 0.0013980603068442334, -0.3050060986719384, 0.02748401622251017, 0.21228318376446756, -0.040507447717018516, -0.13025087934617727, 0.07063585069462112, -0.06689409052004765, -0.0633739764928511, -0.25431782537985204, 0.29149479538247713, 0.014033246839350862, 0.1568798141223208, -0.03785912358349689, -0.032517240317424805, -0.20438341009317013, -0.057069073039711815, 0.020679337214593346, -0.16006481999501398, 0.022847418111135682, 0.22697173015685843, 0.1385119184159543, 0.20770351785780272, -0.34248788133610525, -0.1964335250071954, 0.033770668791697885, 0.25816018712740935, 0.012546929468332631, -0.038520240741845777, -0.2139295054593964, 0.06487364274529149, -0.11756631258091457, -0.179393155970923, 0.09601095031447164, 0.06812513857389936, 0.01642805708447335, -0.2275908671222945, 0.13614904494862434, 0.05201577087409976, 0.22428607930451994, -0.10378501463234964, -0.21167906862683594, -0.1328338883340177, 0.03795506686636633, -0.004081308746585486, 0.011535182228615711, 0.16848178437865544, -0.1262621294008568, 0.023826699101979414, 0.37381521852050975, -0.12978170063513794, 0.06236100570503168, 0.25352181208592545, -0.24505283727691077, -0.13276508967349557, 0.21574130928620877, 0.1336565685327869, 0.15883804146603614, -0.0878183931572272, -0.018262969516466155, -0.00021915841512609182, 0.21725503456915116, 0.07935221723377386, 0.10275206372437136, 0.2995505680829832, 0.0736931202203467, 0.04754373551241304, -0.03688361623009281, -0.22773840213790764, -0.03425861432830372, -0.22731592642461382, -0.12550773593687975, -0.060671788379095676, 0.0826787543129041, -0.1694020738127065, -0.17075495198993693, 0.3060860214247397, 0.10909938065991055, 0.275222153025225, 0.0403626738343297, 0.24817684280867802, 0.11171793093813992, 0.14569114665529215, 0.15127085028045878, 0.32135442265954645, 0.23756546240368084, 0.12623254363581243, -0.2727005008733036, 0.09199323011640312, 0.0006645396749330003] |
709.171 | Symmetries and exotic smooth structures on a $K3$ surface | Smooth and symplectic symmetries of an infinite family of distinct exotic
$K3$ surfaces are studied, and comparison with the corresponding symmetries of
the standard $K3$ is made. The action on the $K3$ lattice induced by a smooth
finite group action is shown to be strongly restricted, and as a result,
nonsmoothability of actions induced by a holomorphic automorphism of a prime
order $\geq 7$ is proved and nonexistence of smooth actions by several $K3$
groups is established (included among which is the binary tetrahedral group
$T_{24}$ which has the smallest order). Concerning symplectic symmetries, the
fixed-point set structure of a symplectic cyclic action of a prime order $\geq
5$ is explicitly determined, provided that the action is homologically
nontrivial.
| math.GT math.SG | smooth and symplectic symmetries of an infinite family of distinct exotic k3 surfaces are studied and comparison with the corresponding symmetries of the standard k3 is made the action on the k3 lattice induced by a smooth finite group action is shown to be strongly restricted and as a result nonsmoothability of actions induced by a holomorphic automorphism of a prime order geq 7 is proved and nonexistence of smooth actions by several k3 groups is established included among which is the binary tetrahedral group t_24 which has the smallest order concerning symplectic symmetries the fixedpoint set structure of a symplectic cyclic action of a prime order geq 5 is explicitly determined provided that the action is homologically nontrivial | [['smooth', 'and', 'symplectic', 'symmetries', 'of', 'an', 'infinite', 'family', 'of', 'distinct', 'exotic', 'k3', 'surfaces', 'are', 'studied', 'and', 'comparison', 'with', 'the', 'corresponding', 'symmetries', 'of', 'the', 'standard', 'k3', 'is', 'made', 'the', 'action', 'on', 'the', 'k3', 'lattice', 'induced', 'by', 'a', 'smooth', 'finite', 'group', 'action', 'is', 'shown', 'to', 'be', 'strongly', 'restricted', 'and', 'as', 'a', 'result', 'nonsmoothability', 'of', 'actions', 'induced', 'by', 'a', 'holomorphic', 'automorphism', 'of', 'a', 'prime', 'order', 'geq', '7', 'is', 'proved', 'and', 'nonexistence', 'of', 'smooth', 'actions', 'by', 'several', 'k3', 'groups', 'is', 'established', 'included', 'among', 'which', 'is', 'the', 'binary', 'tetrahedral', 'group', 't_24', 'which', 'has', 'the', 'smallest', 'order', 'concerning', 'symplectic', 'symmetries', 'the', 'fixedpoint', 'set', 'structure', 'of', 'a', 'symplectic', 'cyclic', 'action', 'of', 'a', 'prime', 'order', 'geq', '5', 'is', 'explicitly', 'determined', 'provided', 'that', 'the', 'action', 'is', 'homologically', 'nontrivial']] | [-0.23454899774589696, 0.16044678599546308, -0.08672693985888463, 0.05303207071175656, -0.1130474485958425, -0.14013882845035222, -0.023581961169838905, 0.34633962367462295, -0.2892276411716882, -0.2615469695570377, 0.12328292492331348, -0.27203971472306127, -0.15339463867613265, 0.1785674096825413, -0.09605208951502274, 0.008130699471753633, 0.013041812552409804, 0.13558779943447846, -0.09619681434666054, -0.3218855106323544, 0.39828347944869447, -0.03773186675026121, 0.19810481815256625, 0.05126490076987916, 0.12217081568609828, -0.025011325052553296, -0.00964906987033657, 0.0024873402335832263, -0.1126792893218773, 0.11457998001386817, 0.2727256217796324, -0.01845995840242403, 0.15623290499505132, -0.35619458080165917, -0.21369163353696594, 0.16643557652560437, 0.09242395036575249, 0.03304986167961779, -0.04531518914080106, -0.275108200757621, 0.14509299233989614, -0.1619647411772838, -0.17949630187139806, -0.10165120923143421, 0.056846876907297686, -0.01315556767468269, -0.2244447806902811, -0.029082956311440207, 0.13707176029172718, 0.14917746738681936, -0.0470074401396271, -0.09423076422908941, -0.11360842544927748, 0.10712437323716462, 0.040631475303178795, 0.0715793648846129, 0.041544669307768345, -0.08923850369711335, -0.1269681279305727, 0.4235172773384027, -0.04413646888027652, -0.21601556185468768, 0.14299687141409287, -0.1269519722335932, -0.14670556429853168, 0.18283211912673253, 0.07529834526567122, 0.19530859962503752, -0.051204725742264465, 0.19007333975810653, -0.10745211341219325, 0.11962668128056914, 0.0951845723315755, -0.04628295389314493, 0.12643585104393798, 0.11822532307412316, 0.1062206002509492, 0.09465956148038754, 0.007165927517538269, -0.06047630696517662, -0.36123297817240924, -0.12401027714387856, -0.1507214428140567, 0.1700109198816821, -0.10513456885525797, -0.1276342546849404, 0.3975181040377953, -0.02909606869897654, 0.16855254082773358, 0.06306945428483061, 0.17059797982080308, 0.055374405599665895, 0.07215640714997028, 0.051816721283631705, 0.12031095935843694, 0.19798740124306044, -0.14884262509309712, -0.21161463904656216, -0.02363364717278343, 0.18967979860643291] |
709.1711 | A Hyperelliptic View on Teichmuller Space. I | We explicitly describe the Teichmuller space TH_n of hyperelliptic surfaces
in terms of natural and effective coordinates as the space of certain
(2n-6)-tuples of distinct points on the ideal boundary of the Poincare disc. We
essentially use the concept of a simple earthquake which is a particular case
of a Fenchel-Nielsen twist deformation. Such earthquakes generate a group that
acts transitively on TH_n. This fact can be interpreted as a continuous analog
of the well-known Dehn theorem saying that the mapping class group is generated
by Dehn twists. We find a simple and effective criterion that verifies if a
given representation of the surface group \pi_1\Sigma in the group of
isometries of the hyperbolic plane is faithful and discrete. The article also
contains simple and elementary proofs of several known results, for instance,
of W. M. Goldman's theorem [Gol1] characterizing the faithful discrete
representations as having maximal Toledo invariant (which is essentially the
area of the representation in the two-dimensional case).
| math.GT | we explicitly describe the teichmuller space th_n of hyperelliptic surfaces in terms of natural and effective coordinates as the space of certain 2n6tuples of distinct points on the ideal boundary of the poincare disc we essentially use the concept of a simple earthquake which is a particular case of a fenchelnielsen twist deformation such earthquakes generate a group that acts transitively on th_n this fact can be interpreted as a continuous analog of the wellknown dehn theorem saying that the mapping class group is generated by dehn twists we find a simple and effective criterion that verifies if a given representation of the surface group pi_1sigma in the group of isometries of the hyperbolic plane is faithful and discrete the article also contains simple and elementary proofs of several known results for instance of w m goldmans theorem gol1 characterizing the faithful discrete representations as having maximal toledo invariant which is essentially the area of the representation in the twodimensional case | [['we', 'explicitly', 'describe', 'the', 'teichmuller', 'space', 'th_n', 'of', 'hyperelliptic', 'surfaces', 'in', 'terms', 'of', 'natural', 'and', 'effective', 'coordinates', 'as', 'the', 'space', 'of', 'certain', '2n6tuples', 'of', 'distinct', 'points', 'on', 'the', 'ideal', 'boundary', 'of', 'the', 'poincare', 'disc', 'we', 'essentially', 'use', 'the', 'concept', 'of', 'a', 'simple', 'earthquake', 'which', 'is', 'a', 'particular', 'case', 'of', 'a', 'fenchelnielsen', 'twist', 'deformation', 'such', 'earthquakes', 'generate', 'a', 'group', 'that', 'acts', 'transitively', 'on', 'th_n', 'this', 'fact', 'can', 'be', 'interpreted', 'as', 'a', 'continuous', 'analog', 'of', 'the', 'wellknown', 'dehn', 'theorem', 'saying', 'that', 'the', 'mapping', 'class', 'group', 'is', 'generated', 'by', 'dehn', 'twists', 'we', 'find', 'a', 'simple', 'and', 'effective', 'criterion', 'that', 'verifies', 'if', 'a', 'given', 'representation', 'of', 'the', 'surface', 'group', 'pi_1sigma', 'in', 'the', 'group', 'of', 'isometries', 'of', 'the', 'hyperbolic', 'plane', 'is', 'faithful', 'and', 'discrete', 'the', 'article', 'also', 'contains', 'simple', 'and', 'elementary', 'proofs', 'of', 'several', 'known', 'results', 'for', 'instance', 'of', 'w', 'm', 'goldmans', 'theorem', 'gol1', 'characterizing', 'the', 'faithful', 'discrete', 'representations', 'as', 'having', 'maximal', 'toledo', 'invariant', 'which', 'is', 'essentially', 'the', 'area', 'of', 'the', 'representation', 'in', 'the', 'twodimensional', 'case']] | [-0.16610682400129442, 0.12020692888628282, -0.1335045517870348, 0.07134468021653241, -0.11278550762027127, -0.07825302882354308, 0.005887915913320187, 0.32750949148621716, -0.29526000024762544, -0.23939003094843347, 0.1210469446396133, -0.22937444122156725, -0.20160641353438263, 0.24538679862447646, -0.13628199227172924, 0.0011155081139701717, 0.02779640015156108, 0.1028647424825965, -0.10407350832777999, -0.23189111761514497, 0.3716088465924533, -0.042069567133139515, 0.23904556980204283, 0.025385526618070947, 0.15899841538069398, 0.03802750705457263, -0.033005408153418195, 0.0016077895807658773, -0.13014769073755666, 0.13662904367047074, 0.2459344997088302, 0.05163638603891123, 0.18108662969649494, -0.34464718045303655, -0.19307005676768907, 0.15468591828933045, 0.10917128153356179, 0.03599123703462288, -0.03215032004247531, -0.27644438439183544, 0.06645087331955163, -0.1722662542879277, -0.1738126725339149, -0.048764202401844446, 0.05908900323622632, -0.0065866342409654464, -0.21957746198482858, 0.020061416442560195, 0.15079940716097565, 0.10505842659388136, -0.03901070384484417, -0.05120955370425147, -0.0825668971475987, 0.13572428760019206, 0.0233846476225405, 0.06183126670785787, 0.11621592078726217, -0.08139896352790771, -0.09312981066957363, 0.4160178221978903, -0.06556674336967697, -0.23735449334413236, 0.15190355045100054, -0.1395208936436512, -0.15305188441145345, 0.11196899406081827, 0.11698567983987243, 0.12630360812803954, -0.06121866793976511, 0.16746354063111796, -0.17957544089485336, 0.0867555570611496, 0.09842248739375961, -0.011551365487675809, 0.1325435332614202, 0.10274134090597853, 0.11085439017979698, 0.14804858344229255, -0.013496046657044347, -0.022631943911173433, -0.3872429850597649, -0.22121716605253378, -0.19026080347120222, 0.09308502870705565, -0.10088446971326305, -0.19783357392598247, 0.42188739553445354, 0.029477053219393926, 0.17948312345165876, 0.09023229034365676, 0.20485642155831527, 0.07820232894305292, 0.06738848881737429, 0.0720099051660161, 0.13261164996389346, 0.1412515999974812, -0.05314930897709802, -0.14252349154353025, -0.006194392485696377, 0.19832201740768907] |
709.1712 | Dissipation in intercluster plasma | We discuss dissipative processes in strongly gyrotropic, nearly collisionless
plasma in clusters of galaxies (ICM). First, we point out that Braginsky
theory, which assumes that collisions are more frequent that the system's
dynamical time scale, is inapplicable to fast, sub-viscous ICM motion. Most
importantly, the electron contribution to collisional magneto-viscosity
dominates over that of ions for short-scale Alfvenic motions. Thus, if a
turbulent cascade develops in the ICM and propagates down to scales $\leq 1$
kpc, it is damped collisionally not on ions, but on electrons. Second, in high
beta plasma of ICM, small variations of the magnetic field strength, of
relative value $\sim 1/\beta$, lead to development of anisotropic pressure
instabilities (firehose, mirror and cyclotron). Unstable wave modes may provide
additional resonant scattering of particles, effectively keeping the plasma in
a state of marginal stability. We show that in this case the dissipation rate
of a laminar, subsonic, incompressible flows scales as inverse of plasma beta
parameter. We discuss application to the problem of ICM heating.
| astro-ph | we discuss dissipative processes in strongly gyrotropic nearly collisionless plasma in clusters of galaxies icm first we point out that braginsky theory which assumes that collisions are more frequent that the systems dynamical time scale is inapplicable to fast subviscous icm motion most importantly the electron contribution to collisional magnetoviscosity dominates over that of ions for shortscale alfvenic motions thus if a turbulent cascade develops in the icm and propagates down to scales leq 1 kpc it is damped collisionally not on ions but on electrons second in high beta plasma of icm small variations of the magnetic field strength of relative value sim 1beta lead to development of anisotropic pressure instabilities firehose mirror and cyclotron unstable wave modes may provide additional resonant scattering of particles effectively keeping the plasma in a state of marginal stability we show that in this case the dissipation rate of a laminar subsonic incompressible flows scales as inverse of plasma beta parameter we discuss application to the problem of icm heating | [['we', 'discuss', 'dissipative', 'processes', 'in', 'strongly', 'gyrotropic', 'nearly', 'collisionless', 'plasma', 'in', 'clusters', 'of', 'galaxies', 'icm', 'first', 'we', 'point', 'out', 'that', 'braginsky', 'theory', 'which', 'assumes', 'that', 'collisions', 'are', 'more', 'frequent', 'that', 'the', 'systems', 'dynamical', 'time', 'scale', 'is', 'inapplicable', 'to', 'fast', 'subviscous', 'icm', 'motion', 'most', 'importantly', 'the', 'electron', 'contribution', 'to', 'collisional', 'magnetoviscosity', 'dominates', 'over', 'that', 'of', 'ions', 'for', 'shortscale', 'alfvenic', 'motions', 'thus', 'if', 'a', 'turbulent', 'cascade', 'develops', 'in', 'the', 'icm', 'and', 'propagates', 'down', 'to', 'scales', 'leq', '1', 'kpc', 'it', 'is', 'damped', 'collisionally', 'not', 'on', 'ions', 'but', 'on', 'electrons', 'second', 'in', 'high', 'beta', 'plasma', 'of', 'icm', 'small', 'variations', 'of', 'the', 'magnetic', 'field', 'strength', 'of', 'relative', 'value', 'sim', '1beta', 'lead', 'to', 'development', 'of', 'anisotropic', 'pressure', 'instabilities', 'firehose', 'mirror', 'and', 'cyclotron', 'unstable', 'wave', 'modes', 'may', 'provide', 'additional', 'resonant', 'scattering', 'of', 'particles', 'effectively', 'keeping', 'the', 'plasma', 'in', 'a', 'state', 'of', 'marginal', 'stability', 'we', 'show', 'that', 'in', 'this', 'case', 'the', 'dissipation', 'rate', 'of', 'a', 'laminar', 'subsonic', 'incompressible', 'flows', 'scales', 'as', 'inverse', 'of', 'plasma', 'beta', 'parameter', 'we', 'discuss', 'application', 'to', 'the', 'problem', 'of', 'icm', 'heating']] | [-0.1663249611205152, 0.2721392609100475, -0.05787236197341054, 0.0868934153625461, -0.05435250904719648, -0.0871833833123849, -0.012375852340658432, 0.35348186810207777, -0.2812948149007588, -0.2435139584052096, 0.0224404635121036, -0.2665629697828946, -0.020254800839529158, 0.20570255809250365, 0.037829931794542325, 0.007972058434044966, 0.031637601066290974, -0.06728060547306612, 0.0080980954324288, -0.18436787808201757, 0.29816092600125865, 0.11643715348397662, 0.21288158154361939, 0.04140089067114315, 0.07244786122780159, -0.06953808845649193, 0.013677917297435812, 0.024340935125778687, -0.13962311669276833, -0.009770613795052372, 0.21497836791495062, 0.02273930356759264, 0.2935081704418702, -0.45027718345805756, -0.24220278567398887, 0.02225442342347948, 0.23039603593243085, 0.10138016398287805, -0.0382078229154268, -0.19662708231859494, 0.047499228319355165, -0.1598947582070727, -0.16412922233926602, -0.02079395123712539, 0.06210936402624293, 0.023742502712341677, -0.2912290616505162, 0.2083605767805578, 0.10317447016241642, 0.02134964111294732, -0.09641103360925364, -0.055868059604327724, -0.029961025297462224, 0.012956626612289125, 0.1139034266634115, 0.028485522917555982, 0.25569946554220135, -0.1682786702547301, -0.011809602076838533, 0.4098639715868273, -0.05874378818749304, -0.10593432413010173, 0.24034647745254215, -0.22933249421283064, -0.11675148573704064, 0.2081366754754121, 0.2000284291641136, 0.08571158250210335, -0.09551971924143383, 0.03499293888158849, -0.03639102335701941, 0.18893644005619128, 0.08727045163038154, 0.01330085288093661, 0.21062397638038474, 0.13624659224261856, 0.09805359525875335, 0.11322112095469317, -0.12014021701179445, -0.051225613972385335, -0.28272535056100195, -0.12212874995283671, -0.12249760901981807, 0.05067177991984491, -0.08534594427451284, -0.192223471165803, 0.33532103206625724, 0.19919814173684802, 0.15094373134273056, -0.030606459073037898, 0.29389153999355005, 0.11818394056382499, 0.002955029662474092, 0.17013010970339268, 0.2986224445188979, 0.19414583373680172, 0.11670619383081232, -0.28517410595195103, 0.011787838277306003, 0.039356447212083874] |
709.1713 | Millimeter Interferometric HCN(1-0) and HCO+(1-0) Observations of
Luminous Infrared Galaxies | We present the results on millimeter interferometric observations of four
luminous infrared galaxies (LIRGs), Arp 220, Mrk 231, IRAS 08572+3915, and VV
114, and one Wolf-Rayet galaxy, He 2-10, using the Nobeyama Millimeter Array
(NMA). Both the HCN(1-0) and HCO+(1-0) molecular lines were observed
simultaneously and their brightness-temperature ratios were derived.
High-quality infrared L-band (2.8-4.1 micron) spectra were also obtained for
the four LIRGs to better constrain their energy sources deeply buried in dust
and molecular gas. When combined with other LIRGs we have previously observed
with NMA, the final sample comprised nine LIRGs (12 LIRGs' nuclei) with
available interferometric HCN(1-0) and HCO+(1-0) data-sufficient to investigate
the overall trend in comparison with known AGNs and starburst galaxies. We
found that LIRGs with luminous buried AGN signatures at other wavelengths tend
to show high HCN(1-0)/HCO+(1-0) brightness-temperature ratios as seen in
AGN-dominated galaxies, while the Wolf-Rayet galaxy He 2-10 displays a small
ratio. An enhanced HCN abundance in the interstellar gas surrounding a strongly
X-ray-emitting AGN, as predicted by some chemical calculations, is a natural
explanation of our results.
| astro-ph | we present the results on millimeter interferometric observations of four luminous infrared galaxies lirgs arp 220 mrk 231 iras 085723915 and vv 114 and one wolfrayet galaxy he 210 using the nobeyama millimeter array nma both the hcn10 and hco10 molecular lines were observed simultaneously and their brightnesstemperature ratios were derived highquality infrared lband 2841 micron spectra were also obtained for the four lirgs to better constrain their energy sources deeply buried in dust and molecular gas when combined with other lirgs we have previously observed with nma the final sample comprised nine lirgs 12 lirgs nuclei with available interferometric hcn10 and hco10 datasufficient to investigate the overall trend in comparison with known agns and starburst galaxies we found that lirgs with luminous buried agn signatures at other wavelengths tend to show high hcn10hco10 brightnesstemperature ratios as seen in agndominated galaxies while the wolfrayet galaxy he 210 displays a small ratio an enhanced hcn abundance in the interstellar gas surrounding a strongly xrayemitting agn as predicted by some chemical calculations is a natural explanation of our results | [['we', 'present', 'the', 'results', 'on', 'millimeter', 'interferometric', 'observations', 'of', 'four', 'luminous', 'infrared', 'galaxies', 'lirgs', 'arp', '220', 'mrk', '231', 'iras', '085723915', 'and', 'vv', '114', 'and', 'one', 'wolfrayet', 'galaxy', 'he', '210', 'using', 'the', 'nobeyama', 'millimeter', 'array', 'nma', 'both', 'the', 'hcn10', 'and', 'hco10', 'molecular', 'lines', 'were', 'observed', 'simultaneously', 'and', 'their', 'brightnesstemperature', 'ratios', 'were', 'derived', 'highquality', 'infrared', 'lband', '2841', 'micron', 'spectra', 'were', 'also', 'obtained', 'for', 'the', 'four', 'lirgs', 'to', 'better', 'constrain', 'their', 'energy', 'sources', 'deeply', 'buried', 'in', 'dust', 'and', 'molecular', 'gas', 'when', 'combined', 'with', 'other', 'lirgs', 'we', 'have', 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709.1714 | A GIM Mechanism from Extra Dimensions | We explore how to protect extra dimensional models from large flavor changing
neutral currents by using bulk and brane flavor symmetries. We show that a GIM
mechanism can be built in to warped space models such as Randall-Sundrum or
composite Higgs models if flavor mixing is introduced via UV brane kinetic
mixings for right handed quarks. We give a realistic implementation both for a
model with minimal flavor violation and one with next-to-minimal flavor
violation. The latter does not suffer from a CP problem. We consider some of
the existing experimental constraints on these models implied by precision
electroweak tests.
| hep-ph | we explore how to protect extra dimensional models from large flavor changing neutral currents by using bulk and brane flavor symmetries we show that a gim mechanism can be built in to warped space models such as randallsundrum or composite higgs models if flavor mixing is introduced via uv brane kinetic mixings for right handed quarks we give a realistic implementation both for a model with minimal flavor violation and one with nexttominimal flavor violation the latter does not suffer from a cp problem we consider some of the existing experimental constraints on these models implied by precision electroweak tests | [['we', 'explore', 'how', 'to', 'protect', 'extra', 'dimensional', 'models', 'from', 'large', 'flavor', 'changing', 'neutral', 'currents', 'by', 'using', 'bulk', 'and', 'brane', 'flavor', 'symmetries', 'we', 'show', 'that', 'a', 'gim', 'mechanism', 'can', 'be', 'built', 'in', 'to', 'warped', 'space', 'models', 'such', 'as', 'randallsundrum', 'or', 'composite', 'higgs', 'models', 'if', 'flavor', 'mixing', 'is', 'introduced', 'via', 'uv', 'brane', 'kinetic', 'mixings', 'for', 'right', 'handed', 'quarks', 'we', 'give', 'a', 'realistic', 'implementation', 'both', 'for', 'a', 'model', 'with', 'minimal', 'flavor', 'violation', 'and', 'one', 'with', 'nexttominimal', 'flavor', 'violation', 'the', 'latter', 'does', 'not', 'suffer', 'from', 'a', 'cp', 'problem', 'we', 'consider', 'some', 'of', 'the', 'existing', 'experimental', 'constraints', 'on', 'these', 'models', 'implied', 'by', 'precision', 'electroweak', 'tests']] | [-0.0583435828704387, 0.25433121927082536, 0.018644214803352953, 0.16261547429137863, -0.13660065305419267, -0.24319874686188997, 0.07094757300568745, 0.32794235308188946, -0.23001161676365883, -0.2781204061210156, 0.10421533785411156, -0.22962587997782977, -0.05572646715387236, 0.09525216647423804, -0.03202184110414237, 0.03819329902878962, 0.01843947379849851, -0.05695602899882943, -0.10079927443293854, -0.23185480374842882, 0.3245401201862842, 0.0003141630627214909, 0.23454259360209107, 0.0798418356734328, 0.0803186443541199, -0.056997991553507744, -0.021792873893864452, -0.015613060468167532, -0.09788124281949422, 0.07808295680093578, 0.12064142070667003, 0.1468547080596909, 0.05707080421969295, -0.4440286715142429, -0.2292660059966147, 0.1917998371552676, 0.15122635732870549, 0.15546160724945365, -0.09141456758137792, -0.32291243694722654, 0.07727439502021298, -0.2153341855527833, -0.10573675197549165, -0.12747540966141968, -0.09500982739496976, -0.14589254333637655, -0.35878413103986534, 0.07348648383747786, -0.03357033594511449, 0.0249459986097645, 0.028873560363426806, -0.14626083428040146, -0.09137952933553606, 0.0014760665385983884, 0.18470083964057266, -0.025580016921740025, 0.12940728447865696, -0.1933452418397792, -0.1984972815075889, 0.4658139979327098, -0.11524279300880153, -0.27375629303744065, 0.1799208271317184, -0.13382941664196552, -0.1649831876717508, 0.030594953261315824, 0.18353355411440134, 0.0567991467891261, -0.15911496143788098, 0.22189545170287603, -0.10731618087738752, 0.15617220954038202, 0.04846098996698856, 0.06188822577358224, 0.2752138336282223, 0.18438420553691684, 0.04375296101905406, 0.05331026725354605, -0.02071849814383313, -0.06728355007246137, -0.4108540023677051, -0.09221052357461304, -0.05886727600358427, 0.0988321449936484, -0.08739207141537918, -0.10560264127328992, 0.41377999318297953, 0.14848358949355314, 0.225692354189232, 0.01968701360747218, 0.28700199992628767, 0.044800280620111155, 0.10942695694044233, 0.056078719613142314, 0.26078633165132487, 0.07374668695265427, 0.10385599061381072, -0.24624262841418385, -0.01595432191854343, 0.13442038361914455] |
709.1715 | Magnetically asymmetric interfaces in a (LaMnO$_3$)/(SrMnO$_3$)
superlattice due to structural asymmetries | Polarized neutron reflectivity measurements of a ferromagnetic
[(LaMnO$_3$)$_{11.8}$/(SrMnO$_3$)$_{4.4}$]$_6$ superlattice reveal a modulated
magnetic structure with an enhanced magnetization at the interfaces where
LaMnO$_3$ was deposited on SrMnO$_3$ (LMO/SMO). However, the opposite
interfaces (SMO/LMO) are found to have a reduced ferromagnetic moment. The
magnetic asymmetry arises from the difference in lateral structural roughness
of the two interfaces observed via electron microscopy, with strong
ferromagnetism present at the interfaces that are atomically smooth over tens
of nanometers. This result demonstrates that atomic-scale roughness can
destabilize interfacial phases in complex oxide heterostructures.
| cond-mat.mtrl-sci cond-mat.str-el | polarized neutron reflectivity measurements of a ferromagnetic lamno_3_118srmno_3_44_6 superlattice reveal a modulated magnetic structure with an enhanced magnetization at the interfaces where lamno_3 was deposited on srmno_3 lmosmo however the opposite interfaces smolmo are found to have a reduced ferromagnetic moment the magnetic asymmetry arises from the difference in lateral structural roughness of the two interfaces observed via electron microscopy with strong ferromagnetism present at the interfaces that are atomically smooth over tens of nanometers this result demonstrates that atomicscale roughness can destabilize interfacial phases in complex oxide heterostructures | [['polarized', 'neutron', 'reflectivity', 'measurements', 'of', 'a', 'ferromagnetic', 'lamno_3_118srmno_3_44_6', 'superlattice', 'reveal', 'a', 'modulated', 'magnetic', 'structure', 'with', 'an', 'enhanced', 'magnetization', 'at', 'the', 'interfaces', 'where', 'lamno_3', 'was', 'deposited', 'on', 'srmno_3', 'lmosmo', 'however', 'the', 'opposite', 'interfaces', 'smolmo', 'are', 'found', 'to', 'have', 'a', 'reduced', 'ferromagnetic', 'moment', 'the', 'magnetic', 'asymmetry', 'arises', 'from', 'the', 'difference', 'in', 'lateral', 'structural', 'roughness', 'of', 'the', 'two', 'interfaces', 'observed', 'via', 'electron', 'microscopy', 'with', 'strong', 'ferromagnetism', 'present', 'at', 'the', 'interfaces', 'that', 'are', 'atomically', 'smooth', 'over', 'tens', 'of', 'nanometers', 'this', 'result', 'demonstrates', 'that', 'atomicscale', 'roughness', 'can', 'destabilize', 'interfacial', 'phases', 'in', 'complex', 'oxide', 'heterostructures']] | [-0.20094217564694064, 0.20744199545794778, -0.040334748277483984, 0.004967085934558147, -0.014202289256202273, -0.14896737047211203, 0.014362995393660873, 0.4644008661555343, -0.32537414098894873, -0.32005126494914293, -0.03818332531955093, -0.33341505378484726, -0.11441602689473955, 0.2134335093243524, 0.07029328210452615, -0.008469140195006202, -0.041574992615794545, -0.14560816222855952, -0.1132599452542964, -0.17160502259460816, 0.2781669003022618, -0.033021148497260414, 0.3095802877336567, 0.16398134985722082, 0.04351080326515055, -0.016170572381206724, 0.17661641031330408, 0.020475925671933, -0.1515768569371958, 0.06523189944117655, 0.27655741741317647, -0.2338791960947822, 0.15062496762148775, -0.5642634668539084, -0.2302279893178926, -0.049996822644674845, 0.12872074004587566, 0.1283929202554011, -0.11852572943479213, -0.26378952555878216, 0.09595527995897588, -0.0622736853114221, -0.10677400079750737, -0.05845587346486227, -0.06011016827163308, 0.018376772458459315, -0.2399971121955977, 0.11270521777183858, 0.04807760930880038, 0.1702850751800809, -0.10614237838646744, -0.08207043749821741, -0.1428083836339241, 0.041506550848743946, 0.06593077200963053, 0.09783769646919398, 0.2166139420858303, -0.0796171456634955, -0.11347462120465934, 0.29690788757749076, -0.02635391265543741, -0.07678024296453873, 0.18706717049204852, -0.25500968271655944, -0.015571853259664982, 0.22036356693621031, 0.1213358766236884, 0.10289341124684312, -0.13337569569066968, 0.06823731478043767, 0.010489205531992538, 0.24352899698410616, 0.10645172885770715, 0.03309643060662026, 0.28681931904040625, 0.23487682353033748, 0.06339356764273849, 0.14305722522874212, -0.1601734818094735, 0.014200392458046418, -0.168724718438678, -0.16655593617754275, -0.22150784140712645, 0.05913645314150165, -0.10189244106173688, -0.22979322599983493, 0.35881576793766473, 0.1339702393282963, 0.15996370440738839, -0.0960542296281431, 0.257445644483046, 0.04233628015310049, 0.09901740071688626, -0.046562150196540496, 0.27692543092551963, 0.1772745116180632, 0.15935171001217177, -0.27053588324464684, 0.19206845392689628, -0.038841817562527914] |
709.1716 | Consistent Determination of Particle Production in p-A, d-A and A-A
Collisions using Color Glass Condensate | The success of nonviscous hydrodynamics in describing the collective flow
properties of bulk low $p_\perp$ observables at RHIC has led to the claim that
a novel form of {\it strongly coupled} Quark Gluon Plasma (sQGP) is created in
200 AGeV Au+Au collisions. This success depends strongly, however, on the
initial conditions assumed in the calculations. In particular, agreement with
data is only obtained assuming Glauber nuclear reaction plane (participant)
geometry. The KLN model of Color Glass Condenstate (CGC) initial conditions
require the existence of nonvanishing viscous effects. We develop an improved
model of CGC that is more internally consistent between the central and diffuse
edge regions. The improved model is shown to describe bulk rapidity
distributions for a wide assortment of system sizes, geometries and energies.
The self consistency forces a specific $\sqrt{s}$ dependence of the
multiplicity which leads to surprisingly low particle production predictions
for Pb+Pb collisions at LHC COM energies. These predictions are similar to
those made using simple linear extrapolations of multiplicity attempted by the
PHOBOS collaboration.
| nucl-th | the success of nonviscous hydrodynamics in describing the collective flow properties of bulk low p_perp observables at rhic has led to the claim that a novel form of it strongly coupled quark gluon plasma sqgp is created in 200 agev auau collisions this success depends strongly however on the initial conditions assumed in the calculations in particular agreement with data is only obtained assuming glauber nuclear reaction plane participant geometry the kln model of color glass condenstate cgc initial conditions require the existence of nonvanishing viscous effects we develop an improved model of cgc that is more internally consistent between the central and diffuse edge regions the improved model is shown to describe bulk rapidity distributions for a wide assortment of system sizes geometries and energies the self consistency forces a specific sqrts dependence of the multiplicity which leads to surprisingly low particle production predictions for pbpb collisions at lhc com energies these predictions are similar to those made using simple linear extrapolations of multiplicity attempted by the phobos collaboration | [['the', 'success', 'of', 'nonviscous', 'hydrodynamics', 'in', 'describing', 'the', 'collective', 'flow', 'properties', 'of', 'bulk', 'low', 'p_perp', 'observables', 'at', 'rhic', 'has', 'led', 'to', 'the', 'claim', 'that', 'a', 'novel', 'form', 'of', 'it', 'strongly', 'coupled', 'quark', 'gluon', 'plasma', 'sqgp', 'is', 'created', 'in', '200', 'agev', 'auau', 'collisions', 'this', 'success', 'depends', 'strongly', 'however', 'on', 'the', 'initial', 'conditions', 'assumed', 'in', 'the', 'calculations', 'in', 'particular', 'agreement', 'with', 'data', 'is', 'only', 'obtained', 'assuming', 'glauber', 'nuclear', 'reaction', 'plane', 'participant', 'geometry', 'the', 'kln', 'model', 'of', 'color', 'glass', 'condenstate', 'cgc', 'initial', 'conditions', 'require', 'the', 'existence', 'of', 'nonvanishing', 'viscous', 'effects', 'we', 'develop', 'an', 'improved', 'model', 'of', 'cgc', 'that', 'is', 'more', 'internally', 'consistent', 'between', 'the', 'central', 'and', 'diffuse', 'edge', 'regions', 'the', 'improved', 'model', 'is', 'shown', 'to', 'describe', 'bulk', 'rapidity', 'distributions', 'for', 'a', 'wide', 'assortment', 'of', 'system', 'sizes', 'geometries', 'and', 'energies', 'the', 'self', 'consistency', 'forces', 'a', 'specific', 'sqrts', 'dependence', 'of', 'the', 'multiplicity', 'which', 'leads', 'to', 'surprisingly', 'low', 'particle', 'production', 'predictions', 'for', 'pbpb', 'collisions', 'at', 'lhc', 'com', 'energies', 'these', 'predictions', 'are', 'similar', 'to', 'those', 'made', 'using', 'simple', 'linear', 'extrapolations', 'of', 'multiplicity', 'attempted', 'by', 'the', 'phobos', 'collaboration']] | [-0.07064725899767568, 0.2172312884215738, -0.18726380792162245, 0.09473192693651927, -0.016826330963522197, -0.10431359235799927, -0.07638993953998365, 0.3600234561928493, -0.17587104061180178, -0.2845820153186865, -0.03578019595485838, -0.3039717319804956, 0.038500654070145066, 0.1315639789962648, -0.002300143526500666, 0.0963880704195403, 0.12596323515754193, 0.013535927040228511, -0.05135948796318296, -0.21493919134030448, 0.30249291812206675, 0.11170529461849261, 0.2902869697879342, 0.13512829098960055, 0.07327186685836162, 0.05146908154574168, -0.0006633906916249544, 0.0414967413936906, -0.17452932250042283, 0.07524952167021932, 0.25960747201290146, 0.030825024290585562, 0.16455945803455133, -0.41185381549465305, -0.1722556444528677, 0.09152996374075027, 0.10473641057443969, 0.10694852260365972, -0.07384220763248296, -0.2067051794325166, 0.09632483109941377, -0.2450228353304898, -0.18153470130842728, -0.03751710883670432, 0.028294365250450725, 0.019332595960483614, -0.3126564482720021, 0.11475970160202398, -0.0007963269538081745, 0.0682952230441408, -0.04801160367890535, -0.15013110060861115, -0.09352583609357037, 0.031189120667712653, 0.05525391239686595, 0.07849935732168994, 0.19142846552764667, -0.19567636646885042, -0.10055030867293038, 0.3815802462289439, -0.0004847567158696406, -0.14686155377832405, 0.2518359952138032, -0.20165846701163578, -0.13410437811741277, 0.15898975089795012, 0.20320681139881558, 0.09884465056855013, -0.20618254608912942, 0.04452795680879396, -0.03999834660002414, 0.17016640771043431, 0.08240142391775461, 0.02615158301739618, 0.21064703521757003, 0.18643441887140985, -0.012721338394262335, 0.08763334215036593, -0.05568643798206347, -0.12999465753707815, -0.3612580783993882, -0.029217450538485804, -0.12783971547135425, 0.018148089222171728, -0.11385329666749493, -0.09267046266451122, 0.33914659224204063, 0.1358721456491313, 0.25757959742400355, -0.00046540022047017427, 0.25835732041365084, 0.09349017142427757, 0.04501386675230392, 0.10007771355894339, 0.29707337062915457, 0.1573027697556159, 0.16840541194302633, -0.25649668680339616, 0.06742159637206521, 0.05850184382459916] |
709.1717 | Lattice and Schroder paths with periodic boundaries | We consider paths in the plane with $(1,0),$ $(0,1),$ and $(a,b)$-steps that
start at the origin, end at height $n,$ and stay to the left of a given
non-decreasing right boundary. We show that if the boundary is periodic and has
slope at most $b/a,$ then the ordinary generating function for the number of
such paths ending at height $n$ is algebraic. Our argument is in two parts. We
use a simple combinatorial decomposition to obtain an Appell relation or
``umbral'' generating function, in which the power $z^n$ is replaced by a power
series of the form $z^n \phi_n(z),$ where $\phi_n(0) = 1.$ Then we convert (in
an explicit way) the umbral generating function to an ordinary generating
function by solving a system of linear equations and a polynomial equation.
This conversion implies that the ordinary generating function is algebraic.
| math.CO | we consider paths in the plane with 10 01 and absteps that start at the origin end at height n and stay to the left of a given nondecreasing right boundary we show that if the boundary is periodic and has slope at most ba then the ordinary generating function for the number of such paths ending at height n is algebraic our argument is in two parts we use a simple combinatorial decomposition to obtain an appell relation or umbral generating function in which the power zn is replaced by a power series of the form zn phi_nz where phi_n0 1 then we convert in an explicit way the umbral generating function to an ordinary generating function by solving a system of linear equations and a polynomial equation this conversion implies that the ordinary generating function is algebraic | [['we', 'consider', 'paths', 'in', 'the', 'plane', 'with', '10', '01', 'and', 'absteps', 'that', 'start', 'at', 'the', 'origin', 'end', 'at', 'height', 'n', 'and', 'stay', 'to', 'the', 'left', 'of', 'a', 'given', 'nondecreasing', 'right', 'boundary', 'we', 'show', 'that', 'if', 'the', 'boundary', 'is', 'periodic', 'and', 'has', 'slope', 'at', 'most', 'ba', 'then', 'the', 'ordinary', 'generating', 'function', 'for', 'the', 'number', 'of', 'such', 'paths', 'ending', 'at', 'height', 'n', 'is', 'algebraic', 'our', 'argument', 'is', 'in', 'two', 'parts', 'we', 'use', 'a', 'simple', 'combinatorial', 'decomposition', 'to', 'obtain', 'an', 'appell', 'relation', 'or', 'umbral', 'generating', 'function', 'in', 'which', 'the', 'power', 'zn', 'is', 'replaced', 'by', 'a', 'power', 'series', 'of', 'the', 'form', 'zn', 'phi_nz', 'where', 'phi_n0', '1', 'then', 'we', 'convert', 'in', 'an', 'explicit', 'way', 'the', 'umbral', 'generating', 'function', 'to', 'an', 'ordinary', 'generating', 'function', 'by', 'solving', 'a', 'system', 'of', 'linear', 'equations', 'and', 'a', 'polynomial', 'equation', 'this', 'conversion', 'implies', 'that', 'the', 'ordinary', 'generating', 'function', 'is', 'algebraic']] | [-0.1322643964306662, 0.1253250993334265, -0.08458971973834899, 0.0498621183393156, -0.07678775792180077, -0.09961439985577969, 0.010597001635435506, 0.33060671282374726, -0.3429145944979463, -0.26222002945405287, 0.07868972396559633, -0.31372423610398475, -0.14993735573961514, 0.1918482792913832, -0.017426481038794246, 0.008301988098749985, -0.025242562414262527, 0.07595144551294944, -0.08177106031364324, -0.24079173441847146, 0.336718805979051, -0.024398971301415107, 0.19031330103557692, -1.2839943795961185e-05, 0.11974350204028489, -0.0057572172121926595, 0.019432799173451035, -0.01463839799899907, -0.11633906991259886, 0.09289322904290727, 0.21727641691610108, 0.12185015107579801, 0.2657744264515647, -0.4261773793013209, -0.12461379815545613, 0.1192227446195418, 0.1553189126965012, 0.041099814161060066, -0.06425130101818129, -0.16870206694737294, 0.13300455048048093, -0.1139132042694157, -0.17786793484196176, 0.024286811471148563, 0.07908503416871285, 0.03803363095044437, -0.31386709241128535, 0.023328704739084643, 0.06491529983026485, 0.07401279425316483, -0.02825498795238779, -0.10257305706643846, -0.011025646543402198, 0.09095838980708462, -0.011521412257655747, 0.06736018652789784, 0.05366359420977261, -0.13648275293097117, -0.05445661410743738, 0.34462111320237826, -0.06150452937951216, -0.22712493768084224, 0.11817388412250328, -0.1519709129233158, -0.12791275234899763, 0.12385512713723591, 0.10370454022615815, 0.12936561186050138, -0.10737818646598199, 0.11976227985803772, -0.06549791272314959, 0.15684009588112796, 0.13103636469263719, -0.03852295373178964, 0.18138538030431653, 0.09426963813331006, 0.09437561204085929, 0.15992300545484045, -0.029647231350115835, -0.05199569726641541, -0.3400507668427525, -0.18531758601337087, -0.17056238593237924, 0.09884672179101392, -0.08968382729446842, -0.19394716662252798, 0.3935752318131935, 0.09324998889172817, 0.2525619322869138, 0.11976800872655381, 0.2646953713413953, 0.24803001648172002, 0.0189919800626753, 0.06085054684144846, 0.11662766210102632, 0.11993848157529957, 0.04918594155494586, -0.18669617441941705, 0.04455455744054413, 0.1357950518437981] |
709.1718 | A short-loop algorithm for quantum Monte Carlo simulations | We present an algorithmic framework for a variant of the quantum Monte Carlo
operator-loop algorithm, where non-local cluster updates are constructed in a
way that makes each individual loop smaller. The algorithm is designed to
increase simulation efficiency in cases where conventional loops become very
large, do not close altogether, or otherwise behave poorly. We demonstrate and
characterize some aspects of the short-loop on a square lattice spin-1/2 XXZ
model where, remarkably, a significant increase in simulation efficiency is
observed in some parameter regimes. The simplicity of the model provides a
prototype for the use of short-loops on more complicated quantum systems.
| cond-mat.stat-mech cond-mat.dis-nn cond-mat.mes-hall cond-mat.mtrl-sci cond-mat.other cond-mat.soft | we present an algorithmic framework for a variant of the quantum monte carlo operatorloop algorithm where nonlocal cluster updates are constructed in a way that makes each individual loop smaller the algorithm is designed to increase simulation efficiency in cases where conventional loops become very large do not close altogether or otherwise behave poorly we demonstrate and characterize some aspects of the shortloop on a square lattice spin12 xxz model where remarkably a significant increase in simulation efficiency is observed in some parameter regimes the simplicity of the model provides a prototype for the use of shortloops on more complicated quantum systems | [['we', 'present', 'an', 'algorithmic', 'framework', 'for', 'a', 'variant', 'of', 'the', 'quantum', 'monte', 'carlo', 'operatorloop', 'algorithm', 'where', 'nonlocal', 'cluster', 'updates', 'are', 'constructed', 'in', 'a', 'way', 'that', 'makes', 'each', 'individual', 'loop', 'smaller', 'the', 'algorithm', 'is', 'designed', 'to', 'increase', 'simulation', 'efficiency', 'in', 'cases', 'where', 'conventional', 'loops', 'become', 'very', 'large', 'do', 'not', 'close', 'altogether', 'or', 'otherwise', 'behave', 'poorly', 'we', 'demonstrate', 'and', 'characterize', 'some', 'aspects', 'of', 'the', 'shortloop', 'on', 'a', 'square', 'lattice', 'spin12', 'xxz', 'model', 'where', 'remarkably', 'a', 'significant', 'increase', 'in', 'simulation', 'efficiency', 'is', 'observed', 'in', 'some', 'parameter', 'regimes', 'the', 'simplicity', 'of', 'the', 'model', 'provides', 'a', 'prototype', 'for', 'the', 'use', 'of', 'shortloops', 'on', 'more', 'complicated', 'quantum', 'systems']] | [-0.11523860270273872, 0.11027600199580774, -0.06276143524330109, 0.08478071716846898, -0.05934070563409478, -0.18911523021291943, 0.044629185500089076, 0.40697814341634514, -0.22945600470062344, -0.29897984423441815, 0.08979894560819958, -0.26247911490965636, -0.1588671132433228, 0.2293947124236729, -0.033168654209002855, 0.03687085264362395, 0.08854351568035781, 0.03248916076496244, -0.0692354293167591, -0.2439290743228048, 0.23351580595131963, 0.09406931891804561, 0.26421579760033637, 0.01986088199308142, 0.09376389514654875, 0.002156159579753876, 0.0243351497547701, 0.04980286315911144, -0.11728648118012643, 0.0643606172397267, 0.20564646197482944, 0.07081887557171285, 0.2751693676458672, -0.42436327528208495, -0.19761083791148848, 0.11053650714457035, 0.1912349661500775, 0.13526808993890882, -0.04888663717851159, -0.21207662945613265, 0.07947717940667644, -0.2059974650107324, -0.11901378011563793, -0.10537632616236806, -0.04700182085856795, -0.006655603456893005, -0.2583695254754275, 0.07209189320914447, 0.027468809916172177, 0.0409831753349863, 0.00860073926160112, -0.11100681826472282, 0.03968831793172285, 0.10347621391294524, -0.029315205820603298, 0.005754259317182004, 0.099538358123973, -0.14697080040350557, -0.1367117857374251, 0.380166601780802, -0.018018074855208396, -0.21291032233508303, 0.20296854393091052, -0.13076630411669612, -0.16601043950300665, 0.10241555904969574, 0.16417431877925992, 0.13040983197744935, -0.1313333015050739, 0.09723437826090958, -0.028694709832780062, 0.19205212865956128, -0.045229592085815964, 0.025760241686366498, 0.1841362872906029, 0.2034890929982066, 0.06760799233510624, 0.19333177366643212, -0.0747596266749315, -0.21134406073018908, -0.27589143205434086, -0.14567296592053025, -0.17357910298043863, 0.014679220945254201, -0.09468772332635127, -0.20146798610687255, 0.3523550487495959, 0.20335385244805365, 0.2070732999779284, 0.037998214620165525, 0.29517644541338084, 0.0781300064176321, 0.06995227228850126, 0.09235524073243141, 0.21576456497714389, 0.09250427229329944, 0.07038592917378991, -0.2266905740002403, 0.061482621839968485, 0.03518635206157342] |
709.1719 | Mean-field conditions for percolation on finite graphs | Let G_n be a sequence of finite transitive graphs with vertex degree d=d(n)
and |G_n|=n. Denote by p^t(v,v) the return probability after t steps of the
non-backtracking random walk on G_n. We show that if p^t(v,v) has quasi-random
properties, then critical bond-percolation on G_n has a scaling window of width
n^{-1/3}, as it would on a random graph.
A consequence of our theorems is that if G_n is a transitive expander family
with girth at least (2/3 + eps) \log_{d-1} n, then the size of the largest
component in p-bond-percolation with p={1 +O(n^{-1/3}) \over d-1} is roughly
n^{2/3}. In particular, bond-percolation on the celebrated Ramanujan graph
constructed by Lubotzky, Phillips and Sarnak has the above scaling window. This
provides the first examples of quasi-random graphs behaving like random graphs
with respect to critical bond-percolation.
| math.PR math.CO | let g_n be a sequence of finite transitive graphs with vertex degree ddn and g_nn denote by ptvv the return probability after t steps of the nonbacktracking random walk on g_n we show that if ptvv has quasirandom properties then critical bondpercolation on g_n has a scaling window of width n13 as it would on a random graph a consequence of our theorems is that if g_n is a transitive expander family with girth at least 23 eps log_d1 n then the size of the largest component in pbondpercolation with p1 on13 over d1 is roughly n23 in particular bondpercolation on the celebrated ramanujan graph constructed by lubotzky phillips and sarnak has the above scaling window this provides the first examples of quasirandom graphs behaving like random graphs with respect to critical bondpercolation | [['let', 'g_n', 'be', 'a', 'sequence', 'of', 'finite', 'transitive', 'graphs', 'with', 'vertex', 'degree', 'ddn', 'and', 'g_nn', 'denote', 'by', 'ptvv', 'the', 'return', 'probability', 'after', 't', 'steps', 'of', 'the', 'nonbacktracking', 'random', 'walk', 'on', 'g_n', 'we', 'show', 'that', 'if', 'ptvv', 'has', 'quasirandom', 'properties', 'then', 'critical', 'bondpercolation', 'on', 'g_n', 'has', 'a', 'scaling', 'window', 'of', 'width', 'n13', 'as', 'it', 'would', 'on', 'a', 'random', 'graph', 'a', 'consequence', 'of', 'our', 'theorems', 'is', 'that', 'if', 'g_n', 'is', 'a', 'transitive', 'expander', 'family', 'with', 'girth', 'at', 'least', '23', 'eps', 'log_d1', 'n', 'then', 'the', 'size', 'of', 'the', 'largest', 'component', 'in', 'pbondpercolation', 'with', 'p1', 'on13', 'over', 'd1', 'is', 'roughly', 'n23', 'in', 'particular', 'bondpercolation', 'on', 'the', 'celebrated', 'ramanujan', 'graph', 'constructed', 'by', 'lubotzky', 'phillips', 'and', 'sarnak', 'has', 'the', 'above', 'scaling', 'window', 'this', 'provides', 'the', 'first', 'examples', 'of', 'quasirandom', 'graphs', 'behaving', 'like', 'random', 'graphs', 'with', 'respect', 'to', 'critical', 'bondpercolation']] | [-0.13525128431589992, 0.19225231098243967, -0.0811322589941097, 0.004207772176331756, -0.04099289661583801, -0.1667724561764661, 0.05432232794665844, 0.36639718683154293, -0.25421605185979523, -0.24365914770213282, 0.09639167435163858, -0.3550930167689468, -0.13794182939013946, 0.12803401449822227, -0.0906265173142663, 0.03496561228056442, 0.05608288568416328, 0.1517635269860462, 0.009262818640281417, -0.29250232819829375, 0.28674300738467456, 0.014103492319753224, 0.17059805560998167, 0.04292641402306882, 0.058488347837489775, 0.019088704836604214, 0.04745178410755188, 0.03558386944650644, -0.1953299790943812, 0.011937793831086972, 0.20432807004368497, 0.08879431386506467, 0.2878234404823602, -0.3071087363712264, -0.171629510094962, 0.2051459538863238, 0.1652495482033401, 0.0014155949642317314, 0.028658688551689866, -0.24875575554677087, 0.1696562755246167, -0.09299683646895573, -0.15401506049304522, 0.002886196658382136, 0.11919975548164186, 0.051094242315174954, -0.27399057014510175, -0.005620414562255257, 0.1488382892115672, 0.05412804637859209, 0.11540457805279981, -0.17173346196244837, -0.02850884611711301, 0.08468818793313182, -0.031125108406272237, 0.08535874630747871, 0.04927818886018499, -0.05367759740241154, -0.16122640860549203, 0.3558674668624228, -0.07675903478538561, -0.12260344666852192, 0.08873273673552004, -0.18180627842913522, -0.23204299219121988, 0.09400689610011989, 0.09919243120362586, 0.12094958537349929, -0.030158900368295497, 0.19992540092260408, -0.11969816310077229, 0.1336089097189181, 0.14129823052578352, -0.0044818878752376995, 0.0958572699420267, 0.15190770839531484, 0.1552446945923183, 0.16015260296990164, 0.010492621301885018, -0.030166873198609348, -0.2785646054773789, -0.06145819398630975, -0.2826133238673775, 0.1737907120576975, -0.2477776991275305, -0.21875325256648162, 0.39022342317250813, 0.0758846469067397, 0.19570678553656873, 0.1899221288110835, 0.15384540243328296, 0.08848246032809556, 0.035445497328923506, 0.159772143669243, 0.06801908250164354, 0.19477744587824086, -0.026226700831268154, -0.1329504267959044, 0.07020064441233197, 0.19244905989123226] |
709.172 | Environmentally-Driven Evolution of Simulated Cluster Galaxies | Galaxies in clusters are gas-deficient and a number of possible explanations
for this observation have been advanced, including galaxy-cluster tidal
interactions, galaxy harassment, and ISM-ICM gas stripping. In this paper, we
use a cosmological simulation of cluster formation and evolution in order to
examine this issue from a theoretical standpoint. We follow a large number of
galaxies over time and track each galaxy's gas and stellar mass changes to
discover what mechanism(s) dominate the evolution of the cluster galaxies. We
find that while gas is lost due to a wide variety of mechanisms, the most
common way is via a gas-only stripping event, and the amount of gas lost
correlates with the ram-pressure the galaxy is experiencing. Although this
gas-stripping occurs primarily in the central region (r < 1 Mpc), it is an
important mechanism out to the virial radius of the cluster. This is due to the
wide scatter in ram-pressure strength that a galaxy experiences at fixed
radius. We find that the timescale for complete gas removal is > 1 Gyr. In
addition, we find that galaxies in the field and in the cluster periphery (r >
2.4 Mpc) often accrete cool gas; the accretion stops between 1-2.4 Mpc,
possibly indicating the onset of galaxy starvation.
| astro-ph | galaxies in clusters are gasdeficient and a number of possible explanations for this observation have been advanced including galaxycluster tidal interactions galaxy harassment and ismicm gas stripping in this paper we use a cosmological simulation of cluster formation and evolution in order to examine this issue from a theoretical standpoint we follow a large number of galaxies over time and track each galaxys gas and stellar mass changes to discover what mechanisms dominate the evolution of the cluster galaxies we find that while gas is lost due to a wide variety of mechanisms the most common way is via a gasonly stripping event and the amount of gas lost correlates with the rampressure the galaxy is experiencing although this gasstripping occurs primarily in the central region r 1 mpc it is an important mechanism out to the virial radius of the cluster this is due to the wide scatter in rampressure strength that a galaxy experiences at fixed radius we find that the timescale for complete gas removal is 1 gyr in addition we find that galaxies in the field and in the cluster periphery r 24 mpc often accrete cool gas the accretion stops between 124 mpc possibly indicating the onset of galaxy starvation | [['galaxies', 'in', 'clusters', 'are', 'gasdeficient', 'and', 'a', 'number', 'of', 'possible', 'explanations', 'for', 'this', 'observation', 'have', 'been', 'advanced', 'including', 'galaxycluster', 'tidal', 'interactions', 'galaxy', 'harassment', 'and', 'ismicm', 'gas', 'stripping', 'in', 'this', 'paper', 'we', 'use', 'a', 'cosmological', 'simulation', 'of', 'cluster', 'formation', 'and', 'evolution', 'in', 'order', 'to', 'examine', 'this', 'issue', 'from', 'a', 'theoretical', 'standpoint', 'we', 'follow', 'a', 'large', 'number', 'of', 'galaxies', 'over', 'time', 'and', 'track', 'each', 'galaxys', 'gas', 'and', 'stellar', 'mass', 'changes', 'to', 'discover', 'what', 'mechanisms', 'dominate', 'the', 'evolution', 'of', 'the', 'cluster', 'galaxies', 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709.1721 | Parallel marginalization Monte Carlo with applications to conditional
path sampling | Monte Carlo sampling methods often suffer from long correlation times.
Consequently, these methods must be run for many steps to generate an
independent sample. In this paper a method is proposed to overcome this
difficulty. The method utilizes information from rapidly equilibrating coarse
Markov chains that sample marginal distributions of the full system. This is
accomplished through exchanges between the full chain and the auxiliary coarse
chains. Results of numerical tests on the bridge sampling and
filtering/smoothing problems for a stochastic differential equation are
presented.
| stat.CO | monte carlo sampling methods often suffer from long correlation times consequently these methods must be run for many steps to generate an independent sample in this paper a method is proposed to overcome this difficulty the method utilizes information from rapidly equilibrating coarse markov chains that sample marginal distributions of the full system this is accomplished through exchanges between the full chain and the auxiliary coarse chains results of numerical tests on the bridge sampling and filteringsmoothing problems for a stochastic differential equation are presented | [['monte', 'carlo', 'sampling', 'methods', 'often', 'suffer', 'from', 'long', 'correlation', 'times', 'consequently', 'these', 'methods', 'must', 'be', 'run', 'for', 'many', 'steps', 'to', 'generate', 'an', 'independent', 'sample', 'in', 'this', 'paper', 'a', 'method', 'is', 'proposed', 'to', 'overcome', 'this', 'difficulty', 'the', 'method', 'utilizes', 'information', 'from', 'rapidly', 'equilibrating', 'coarse', 'markov', 'chains', 'that', 'sample', 'marginal', 'distributions', 'of', 'the', 'full', 'system', 'this', 'is', 'accomplished', 'through', 'exchanges', 'between', 'the', 'full', 'chain', 'and', 'the', 'auxiliary', 'coarse', 'chains', 'results', 'of', 'numerical', 'tests', 'on', 'the', 'bridge', 'sampling', 'and', 'filteringsmoothing', 'problems', 'for', 'a', 'stochastic', 'differential', 'equation', 'are', 'presented']] | [-0.047262054002460314, 0.1042748975692495, -0.10317512570935138, 0.09722026995766689, -0.033584953263840256, -0.12257165400420918, 0.050593809982049556, 0.4221782814930467, -0.3291047620751402, -0.32627214455210113, 0.14031574427122798, -0.2643064192824942, -0.07757795418968753, 0.21570857669062474, -0.04656218580134651, 0.08752076552413843, 0.1610591643709032, -0.05722086051314631, -0.09015532534514718, -0.24314915307742707, 0.26283556030077093, 0.07645446565002204, 0.2920951633988058, -0.04348057524903732, 0.17367902997562745, 0.017715055366758915, -0.07605229368542923, 0.011551033371292494, -0.1332750987402773, 0.11420185299699798, 0.25576297633678596, 0.1181606647098841, 0.3118854312719229, -0.4341345608006711, -0.20992321335874936, 0.1089032340246965, 0.168914580309202, 0.17568748093771694, -0.013773640438311679, -0.280106672984274, 0.07321439065477427, -0.15656031869242296, -0.0735607827301411, -0.08851596611716292, -0.0662171633585411, 0.04487108788110644, -0.3045356777770554, 0.05636764858876738, 0.046206452253767676, 0.049630436443668956, 0.045919688445899415, -0.10840498206671327, 0.029657072075368728, 0.11703633605776464, 0.07115336497012964, 0.0030851539101122935, 0.08674029195133377, -0.06620520099600338, -0.13828551305170336, 0.29035266643280494, -0.01025219118455425, -0.2529118477202514, 0.21572137244922274, -0.0632767205729204, -0.17338010344983024, 0.20001356293830802, 0.17905136199996752, 0.1634267506244428, -0.21276474629857522, 0.07382021636756904, 0.009797661792596474, 0.18635244593298173, -0.0265925586785135, -0.030114139413789792, 0.15047387282418853, 0.17630239001968329, 0.0816275646629305, 0.12552666873534155, -0.07273704460822046, -0.18040951225249208, -0.2733286640332902, -0.16336285236003972, -0.23990541709696545, 0.012492894003277315, -0.09737880776109009, -0.169772483868634, 0.32261186769122585, 0.21908660879845923, 0.1706207667121335, 0.09123190165812368, 0.31930855603559927, 0.12432985846501063, 0.04764608057106243, 0.05103825375656871, 0.1435610247282859, 0.13158392392318038, 0.09247398582862361, -0.19923414468546125, 0.06958378186887677, 0.0776750890428529] |
709.1722 | Evolution of massive black holes | Supermassive black holes are nowadays believed to reside in most local
galaxies. Accretion of gas and black hole mergers play a fundamental role in
determining the two parameters defining a black hole: mass and spin. I briefly
review here some of the physical processes that are conducive to the evolution
of the massive black hole population. I'll discuss black hole formation
processes that are likely to place at early cosmic epochs, and how massive
black hole evolve in a hierarchical Universe. The mass of the black holes that
we detect today in nearby galaxy has mostly been accumulated by accretion of
gas. While black hole--black hole mergers do not contribute substantially to
the final mass of massive black holes, they influence the occupancy of galaxy
centers by black hole, owing to the chance of merging black holes being kicked
from their dwellings due to the gravitational recoil. Similarly, accretion
leaves a deeper imprint on the distribution of black hole spins than black hole
mergers do. The differences in accretion histories for black holes hosted in
elliptical or disc galaxies may reflect on different spin distributions.
| astro-ph | supermassive black holes are nowadays believed to reside in most local galaxies accretion of gas and black hole mergers play a fundamental role in determining the two parameters defining a black hole mass and spin i briefly review here some of the physical processes that are conducive to the evolution of the massive black hole population ill discuss black hole formation processes that are likely to place at early cosmic epochs and how massive black hole evolve in a hierarchical universe the mass of the black holes that we detect today in nearby galaxy has mostly been accumulated by accretion of gas while black holeblack hole mergers do not contribute substantially to the final mass of massive black holes they influence the occupancy of galaxy centers by black hole owing to the chance of merging black holes being kicked from their dwellings due to the gravitational recoil similarly accretion leaves a deeper imprint on the distribution of black hole spins than black hole mergers do the differences in accretion histories for black holes hosted in elliptical or disc galaxies may reflect on different spin distributions | [['supermassive', 'black', 'holes', 'are', 'nowadays', 'believed', 'to', 'reside', 'in', 'most', 'local', 'galaxies', 'accretion', 'of', 'gas', 'and', 'black', 'hole', 'mergers', 'play', 'a', 'fundamental', 'role', 'in', 'determining', 'the', 'two', 'parameters', 'defining', 'a', 'black', 'hole', 'mass', 'and', 'spin', 'i', 'briefly', 'review', 'here', 'some', 'of', 'the', 'physical', 'processes', 'that', 'are', 'conducive', 'to', 'the', 'evolution', 'of', 'the', 'massive', 'black', 'hole', 'population', 'ill', 'discuss', 'black', 'hole', 'formation', 'processes', 'that', 'are', 'likely', 'to', 'place', 'at', 'early', 'cosmic', 'epochs', 'and', 'how', 'massive', 'black', 'hole', 'evolve', 'in', 'a', 'hierarchical', 'universe', 'the', 'mass', 'of', 'the', 'black', 'holes', 'that', 'we', 'detect', 'today', 'in', 'nearby', 'galaxy', 'has', 'mostly', 'been', 'accumulated', 'by', 'accretion', 'of', 'gas', 'while', 'black', 'holeblack', 'hole', 'mergers', 'do', 'not', 'contribute', 'substantially', 'to', 'the', 'final', 'mass', 'of', 'massive', 'black', 'holes', 'they', 'influence', 'the', 'occupancy', 'of', 'galaxy', 'centers', 'by', 'black', 'hole', 'owing', 'to', 'the', 'chance', 'of', 'merging', 'black', 'holes', 'being', 'kicked', 'from', 'their', 'dwellings', 'due', 'to', 'the', 'gravitational', 'recoil', 'similarly', 'accretion', 'leaves', 'a', 'deeper', 'imprint', 'on', 'the', 'distribution', 'of', 'black', 'hole', 'spins', 'than', 'black', 'hole', 'mergers', 'do', 'the', 'differences', 'in', 'accretion', 'histories', 'for', 'black', 'holes', 'hosted', 'in', 'elliptical', 'or', 'disc', 'galaxies', 'may', 'reflect', 'on', 'different', 'spin', 'distributions']] | [-0.123146695244233, 0.12713651470839976, -0.048653776716201795, 0.22026685163177348, -0.0934036747225233, -0.07983541408100643, 0.008389287640818872, 0.33619506808148847, -0.09209888277864839, -0.3423479330700797, 0.08634811861415369, -0.3554929232249993, -0.021751287293846944, 0.20516978867251326, -0.035912491997854935, -0.03390372217997808, 0.008057456770168486, -0.05103883289203451, -0.10128327479170686, -0.294403825984714, 0.42325185724350034, 0.1363981331686011, 0.15451409452519305, -0.08688584910705685, 0.06052770949333806, -0.042188365110573736, -0.019773487978602282, -0.01105872243642807, -0.1515174265365302, 0.0036077448154321393, 0.23962707919999957, 0.15789240556265655, 0.24223519442854702, -0.45149008855223655, -0.21543166763778474, 0.06144777430674514, 0.24876211245569427, 0.16096123557009206, -0.20420519359208442, -0.21777063003061592, 0.06668737704324461, -0.2895380857859965, -0.129745397412193, 0.07318191592631912, 0.09250504437431291, -0.022990614767626833, -0.13506426199817578, 0.2046025252624138, 0.10261972421981595, -0.1591567690921963, -0.12057504189716703, -0.010722410469945218, -0.13587953547217152, 0.10455402508252175, 0.13718924721501566, 0.03995628721533796, 0.3343061108041454, -0.11293170720895727, -0.10567923976561508, 0.37015403717554907, 0.02787603012095772, -0.06519788360109906, 0.2532751218894044, -0.3495877988384785, -0.16488681436591857, 0.0980796033278976, 0.22679481659323683, 0.1822221749336333, -0.1647031363376693, 0.031838146698145144, 0.058316643656911075, 0.1772268963832962, 0.10880561922299298, 0.11772919632384327, 0.597464595760244, 0.11521916079360085, -0.025068534144225555, 0.0674512705035709, -0.07955069149013709, -0.076245942507946, -0.1457598463506312, -0.1095416372125918, -0.15033698873468548, 0.166480955490575, -0.15982716280842715, -0.15648259034229292, 0.27233235117211635, 0.081516496469015, 0.2255148545713038, -0.04027191678414474, 0.2216502346653952, 0.026059436295307367, 0.06815072058800709, 0.13973176199313556, 0.3752402105728932, 0.1423864977962866, 0.10501969659581428, -0.27369554049738154, 0.021479465908094034, 0.04571204176172614] |
709.1723 | Statistical properties of one-dimensional maps with critical points and
singularities | We prove that a class of one-dimensional maps with an arbitrary number of
non-degenerate critical and singular points admits an induced Markov tower with
exponential return time asymptotics. In particular the map has an absolutely
continuous invariant probability measure with exponential decay of correlations
for H\"{o}lder observations.
| math.DS | we prove that a class of onedimensional maps with an arbitrary number of nondegenerate critical and singular points admits an induced markov tower with exponential return time asymptotics in particular the map has an absolutely continuous invariant probability measure with exponential decay of correlations for holder observations | [['we', 'prove', 'that', 'a', 'class', 'of', 'onedimensional', 'maps', 'with', 'an', 'arbitrary', 'number', 'of', 'nondegenerate', 'critical', 'and', 'singular', 'points', 'admits', 'an', 'induced', 'markov', 'tower', 'with', 'exponential', 'return', 'time', 'asymptotics', 'in', 'particular', 'the', 'map', 'has', 'an', 'absolutely', 'continuous', 'invariant', 'probability', 'measure', 'with', 'exponential', 'decay', 'of', 'correlations', 'for', 'holder', 'observations']] | [-0.1533248223403984, 0.1761092651580297, -0.11449553590624574, 0.0557926430347118, -0.008386233009080937, -0.16092109320526746, 0.001287126398467003, 0.36394915630684255, -0.2918822540247694, -0.1597614057480972, 0.10167993386920066, -0.299305112120953, -0.10032710277950986, 0.17449019831466547, -0.05159411779505775, 0.13391545332690818, 0.026956943745546517, 0.09486859252161169, -0.08897289412314112, -0.2094042161008977, 0.37647586074122724, 0.005573485779793973, 0.22253807447850704, -0.004265637354964906, 0.1780428705697364, 0.007098680372013056, -0.025959445351853648, -0.03194093304943848, -0.19271389629392752, 0.07737379743063703, 0.21917089134296205, 0.06438576788245205, 0.26396284922164803, -0.34337366170230066, -0.16239049862277635, 0.309400712219166, 0.11044017574254503, 0.012994379776113845, -0.057743107171808465, -0.31184229504396305, 0.05857246008483653, -0.13581631411897374, -0.25107696789138495, -0.08328365568230127, 0.07697408217342293, 0.06829206815900955, -0.34888793635083004, 0.019231682960340318, 0.11951862740766336, 0.09533147442531079, -0.08039390979374343, -0.0036197141843273286, -0.039899331141025465, 0.10818710770616506, 0.057348886465138575, 0.07080639021946712, 0.05405754410721203, -0.07975029453952262, -0.1574789274959488, 0.25127567349378255, -0.20050857216119766, -0.22430679019778332, 0.1452906411339311, -0.1990461406258351, -0.17061106123505754, 0.21217017295829793, 0.10290531962713663, 0.09920292898536996, -0.09152260924035564, 0.1947310385380951, -0.08788606540319767, 0.13819669930578923, 0.0747946241791261, 0.0659667435696626, 0.14445211856249482, 0.07731404043040535, 0.21170681580267053, 0.18883765409601497, -0.07372597600036163, -0.11964863364366775, -0.3328276093494385, -0.1691771774661747, -0.1838739328978068, 0.16100744752490775, -0.14936530747558635, -0.2846157718449831, 0.3832611892808308, 0.0334627022570435, 0.24222498042310805, 0.19603464171845228, 0.1783440237508175, 0.22441749464958272, -0.05933660367612747, 0.09911901690654129, 0.10109756001211861, 0.11868192120752435, 0.011398984580003518, -0.14463543202331725, 0.06819071016829223, 0.11668545531822329] |
709.1724 | Effective interaction of exhausted regions in kinetics of nucleation | An effect of overlapping of exhausted regions around droplets of a new phase
is analyzed. Several approximation to take overlapping into account are
suggested. The small parameter responsible for convergence is extracted. The
multi particle effects of overlapping are described.
| cond-mat.stat-mech | an effect of overlapping of exhausted regions around droplets of a new phase is analyzed several approximation to take overlapping into account are suggested the small parameter responsible for convergence is extracted the multi particle effects of overlapping are described | [['an', 'effect', 'of', 'overlapping', 'of', 'exhausted', 'regions', 'around', 'droplets', 'of', 'a', 'new', 'phase', 'is', 'analyzed', 'several', 'approximation', 'to', 'take', 'overlapping', 'into', 'account', 'are', 'suggested', 'the', 'small', 'parameter', 'responsible', 'for', 'convergence', 'is', 'extracted', 'the', 'multi', 'particle', 'effects', 'of', 'overlapping', 'are', 'described']] | [-0.15394146232865752, 0.18716286075396055, -0.10261598858051002, 0.11048406509798951, -0.03713612619321793, -0.10389798119431362, 0.019004068279173225, 0.32334573450498283, -0.24728145950939506, -0.31037966990843413, 0.07158508215798065, -0.23189150771941058, -0.05176992188207805, 0.1531777481228346, 0.008560854499228299, -0.026267774504958652, 0.008649239782243967, -0.01930148161482066, -0.01203511473722756, -0.2086070247925818, 0.2839299038052559, 0.046559321228414774, 0.2290395251940936, 0.0655704122968018, 0.09689101576805115, -0.029398160870186985, -0.10272362320683896, 0.11566773047670723, -0.10454345358302816, 0.04355641005095094, 0.21961458809673787, 0.065982103953138, 0.32871446534991267, -0.4442453784868121, -0.23135395897552372, 0.09381994900759309, 0.23683799235732295, 0.08055778800044208, -0.07597002496477216, -0.32883027878124266, 0.08421796329785139, -0.13678816475439817, -0.13741483041085303, -0.07974084375891835, -0.013886964716948568, 0.03927270579151809, -0.2739853385835886, 0.08194749212125316, 0.04590189909795299, -0.015541704976931215, -0.11042251462931744, -0.1556835078750737, 0.0036091527435928583, 0.17517984815640375, 0.035141495277639476, -0.047799290472175925, 0.15406089304597118, -0.08433345900848507, -0.03593589649535715, 0.40871765175834296, -0.004507890192326158, -0.1818236972205341, 0.11746636843308807, -0.12709958686027675, -0.13119703512638808, 0.2561697705183178, 0.19614578422624618, 0.11368141821585595, -0.16028231781674548, 0.010620076145460188, 0.00840918486355804, 0.12558071836829185, 0.07191684665740468, 0.043532375572249295, 0.2405642258003354, 0.22353016026318073, 0.0036069082038011403, 0.21288883397355676, -0.1573724180343561, -0.1841081339865923, -0.27754649175331, -0.06200843257829547, -0.1600289871683344, -0.09289487735368311, -0.08749743330990896, -0.17747253347188235, 0.3753469470073469, 0.07139133349992335, 0.2536348497727886, -0.06677615704829805, 0.26684519215486946, 0.10698825498111546, 0.1163127584848553, 0.015859225974418224, 0.2931223386898637, 0.10806951490230858, 0.008182023651897907, -0.19646494996268302, 0.070506354351528, 0.05729876753175631] |
709.1725 | Volatility return intervals analysis of the Japanese market | We investigate scaling and memory effects in return intervals between price
volatilities above a certain threshold $q$ for the Japanese stock market using
daily and intraday data sets. We find that the distribution of return intervals
can be approximated by a scaling function that depends only on the ratio
between the return interval $\tau$ and its mean $<\tau>$. We also find memory
effects such that a large (or small) return interval follows a large (or small)
interval by investigating the conditional distribution and mean return
interval. The results are similar to previous studies of other markets and
indicate that similar statistical features appear in different financial
markets. We also compare our results between the period before and after the
big crash at the end of 1989. We find that scaling and memory effects of the
return intervals show similar features although the statistical properties of
the returns are different.
| q-fin.ST cond-mat.stat-mech physics.soc-ph | we investigate scaling and memory effects in return intervals between price volatilities above a certain threshold q for the japanese stock market using daily and intraday data sets we find that the distribution of return intervals can be approximated by a scaling function that depends only on the ratio between the return interval tau and its mean tau we also find memory effects such that a large or small return interval follows a large or small interval by investigating the conditional distribution and mean return interval the results are similar to previous studies of other markets and indicate that similar statistical features appear in different financial markets we also compare our results between the period before and after the big crash at the end of 1989 we find that scaling and memory effects of the return intervals show similar features although the statistical properties of the returns are different | [['we', 'investigate', 'scaling', 'and', 'memory', 'effects', 'in', 'return', 'intervals', 'between', 'price', 'volatilities', 'above', 'a', 'certain', 'threshold', 'q', 'for', 'the', 'japanese', 'stock', 'market', 'using', 'daily', 'and', 'intraday', 'data', 'sets', 'we', 'find', 'that', 'the', 'distribution', 'of', 'return', 'intervals', 'can', 'be', 'approximated', 'by', 'a', 'scaling', 'function', 'that', 'depends', 'only', 'on', 'the', 'ratio', 'between', 'the', 'return', 'interval', 'tau', 'and', 'its', 'mean', 'tau', 'we', 'also', 'find', 'memory', 'effects', 'such', 'that', 'a', 'large', 'or', 'small', 'return', 'interval', 'follows', 'a', 'large', 'or', 'small', 'interval', 'by', 'investigating', 'the', 'conditional', 'distribution', 'and', 'mean', 'return', 'interval', 'the', 'results', 'are', 'similar', 'to', 'previous', 'studies', 'of', 'other', 'markets', 'and', 'indicate', 'that', 'similar', 'statistical', 'features', 'appear', 'in', 'different', 'financial', 'markets', 'we', 'also', 'compare', 'our', 'results', 'between', 'the', 'period', 'before', 'and', 'after', 'the', 'big', 'crash', 'at', 'the', 'end', 'of', '1989', 'we', 'find', 'that', 'scaling', 'and', 'memory', 'effects', 'of', 'the', 'return', 'intervals', 'show', 'similar', 'features', 'although', 'the', 'statistical', 'properties', 'of', 'the', 'returns', 'are', 'different']] | [-0.08394142980968593, 0.1346288423847732, -0.12207758399476641, 0.1650958185915479, -0.022752917815474855, -0.08601065846035044, 0.111669925891563, 0.4119188083810794, -0.2745358987692619, -0.3029873419006905, 0.14978090726657953, -0.31793683322909094, -0.11931044420214908, 0.22087842478079334, -0.07017024390511965, 0.027895055579618494, 0.07481614965476696, 0.015484108645843979, -0.04718036461315249, -0.2655262722815043, 0.2654580335139028, 0.04973216294842278, 0.27995477936968155, 0.03305004881976185, 0.07910193367267415, -0.019201106235584957, -0.061638518984487356, 0.03516459726922264, -0.14132279090099106, 0.06728728968125061, 0.1844848843889886, 0.0961171492227922, 0.3098134226947023, -0.407088090634386, -0.16284207381533097, 0.12951655066165849, 0.06435521664222915, 0.0239094266692964, 0.04055981884863628, -0.23895791417375306, 0.07953483375545665, -0.18015038879586684, -0.067252580229593, -0.06900549731248577, 0.09980212120751807, 0.09097271818736405, -0.28703919263172195, 0.10583130294268, 0.05356254321429253, 0.0704722657187173, -0.03136918278670426, -0.12214958096148083, -0.022783658628183222, 0.18103623469891464, 0.12435881923509125, -0.031057577773978644, 0.1272193525492795, -0.09106776977720477, -0.13452096504703065, 0.32684781002318297, -0.10374315141781465, -0.12409209653160116, 0.1393719395660114, -0.22847918238203296, -0.13508158220890784, 0.08234403078638067, 0.187696678660835, 0.047661123148809444, -0.1133916556160122, 0.03855663704906197, -0.04877511098912148, 0.19315616426100304, 0.07723088067449979, 0.020361675051097202, 0.21263989869070757, 0.13556782116733754, 0.054748679025273694, 0.12637675734472792, -0.12451428469839262, -0.1404516823158518, -0.299873838788711, -0.10316158774083843, -0.17429185270459935, 0.030816292637902868, -0.15807567305494516, -0.16767879718314582, 0.3835719828618903, 0.17016160026530192, 0.23822600038209618, 0.14578829022849465, 0.22343016537093877, 0.1544836717290529, 0.023732952335743927, 0.13600097181769275, 0.18930854900871347, -0.03408836884167821, 0.11396474212770594, -0.19039962841932281, 0.14749342021524545, -0.014433572829807265] |
709.1726 | A Haar-like Construction for the Ornstein Uhlenbeck Process | The classical Haar construction of Brownian motion uses a binary tree of
triangular wedge-shaped functions. This basis has compactness properties which
make it especially suited for certain classes of numerical algorithms. We
present a similar basis for the Ornstein-Uhlenbeck process, in which the basis
elements approach asymptotically the Haar functions as the index increases, and
preserve the following properties of the Haar basis: all basis elements have
compact support on an open interval with dyadic rational endpoints; these
intervals are nested and become smaller for larger indices of the basis
element, and for any dyadic rational, only a finite number of basis elements is
nonzero at that number. Thus the expansion in our basis, when evaluated at a
dyadic rational, terminates in a finite number of steps. We prove the
covariance formulae for our expansion and discuss its statistical
interpretation and connections to asymptotic scale invariance.
| math.PR | the classical haar construction of brownian motion uses a binary tree of triangular wedgeshaped functions this basis has compactness properties which make it especially suited for certain classes of numerical algorithms we present a similar basis for the ornsteinuhlenbeck process in which the basis elements approach asymptotically the haar functions as the index increases and preserve the following properties of the haar basis all basis elements have compact support on an open interval with dyadic rational endpoints these intervals are nested and become smaller for larger indices of the basis element and for any dyadic rational only a finite number of basis elements is nonzero at that number thus the expansion in our basis when evaluated at a dyadic rational terminates in a finite number of steps we prove the covariance formulae for our expansion and discuss its statistical interpretation and connections to asymptotic scale invariance | [['the', 'classical', 'haar', 'construction', 'of', 'brownian', 'motion', 'uses', 'a', 'binary', 'tree', 'of', 'triangular', 'wedgeshaped', 'functions', 'this', 'basis', 'has', 'compactness', 'properties', 'which', 'make', 'it', 'especially', 'suited', 'for', 'certain', 'classes', 'of', 'numerical', 'algorithms', 'we', 'present', 'a', 'similar', 'basis', 'for', 'the', 'ornsteinuhlenbeck', 'process', 'in', 'which', 'the', 'basis', 'elements', 'approach', 'asymptotically', 'the', 'haar', 'functions', 'as', 'the', 'index', 'increases', 'and', 'preserve', 'the', 'following', 'properties', 'of', 'the', 'haar', 'basis', 'all', 'basis', 'elements', 'have', 'compact', 'support', 'on', 'an', 'open', 'interval', 'with', 'dyadic', 'rational', 'endpoints', 'these', 'intervals', 'are', 'nested', 'and', 'become', 'smaller', 'for', 'larger', 'indices', 'of', 'the', 'basis', 'element', 'and', 'for', 'any', 'dyadic', 'rational', 'only', 'a', 'finite', 'number', 'of', 'basis', 'elements', 'is', 'nonzero', 'at', 'that', 'number', 'thus', 'the', 'expansion', 'in', 'our', 'basis', 'when', 'evaluated', 'at', 'a', 'dyadic', 'rational', 'terminates', 'in', 'a', 'finite', 'number', 'of', 'steps', 'we', 'prove', 'the', 'covariance', 'formulae', 'for', 'our', 'expansion', 'and', 'discuss', 'its', 'statistical', 'interpretation', 'and', 'connections', 'to', 'asymptotic', 'scale', 'invariance']] | [-0.10776694416872239, 0.13913058197281877, -0.11064668430959525, 0.06520648083969967, -0.06851381999089651, -0.07361201344421515, 0.050364245104042124, 0.37327828962508947, -0.2689430055731576, -0.1978682166679877, 0.1337819294095014, -0.254929854075284, -0.1279214284285482, 0.20164799054228216, -0.02692780649761529, 0.08622445441640543, 0.06473669719926962, 0.06757100262002994, -0.0855452870162306, -0.23020940679699592, 0.3257213135900563, 0.02343920305090612, 0.2672736278419345, -0.017698940208665342, 0.09700796926993724, 0.024817230023622308, -0.061462320208753626, 0.017720952065508454, -0.09478648045373968, 0.14794156063756306, 0.24428998258392237, 0.11635655959372804, 0.28853643414156177, -0.3965200581268905, -0.15201259235120282, 0.13965321346887782, 0.1431645070655552, 0.04660329049650886, -0.03358693876262269, -0.22395830748567663, 0.1027499544466144, -0.15668939820280273, -0.19318861060449694, -0.09844012487016313, 0.0663770814043508, 0.06660131376383392, -0.30783237348795445, 0.017410914378945576, 0.08204191900177361, 0.09308200268623458, -0.0355248885956427, -0.1612944566893506, 0.00472574366881729, 0.12533343232125968, -0.007281633519148135, 0.009481931478423003, 0.07924373669243634, -0.05139655031563638, -0.10413114712190853, 0.3623096358337223, -0.03723873738645997, -0.2726721687701671, 0.15611689137805201, -0.17025837056619458, -0.15900594560363274, 0.09559926157498298, 0.13942006202685736, 0.1154025813009692, -0.09466943228730935, 0.1310838338714061, -0.06980970407172732, 0.1437067302838542, 0.09012890150068864, 0.07415595445271632, 0.15803286476915523, 0.11595676203213683, 0.08423214205955347, 0.11847523418223256, -0.00833964210533065, -0.08139088180726267, -0.343601095541189, -0.1854570897231086, -0.20560029196658183, 0.007596692186780274, -0.17682600997287495, -0.27962475387405045, 0.38929299221131697, 0.11507566783645777, 0.20445975004886724, 0.12164272916063106, 0.24298594909885976, 0.14524810664173957, 0.06631852870437074, 0.07602392865045073, 0.1438024401527587, 0.14129845082021497, -0.002197630887341603, -0.15417658843655038, 0.05346161745526917, 0.17811194391385332] |
709.1727 | Foundations of a quantum gravity at large scales of length and its
consequences for the dynamics of cosmological expansion | We attempt to find new symmetries in the space-time structure, leading to a
modified gravitation at large length scales, which provides the foundations of
a quantum gravity at very low energies. This search begins by considering a
unified model for electrodynamics and gravitation, so that the influence of the
gravitational field on the electrodynamics at very large distances leads to a
reformulation of our understanding about space-time through the elimination of
the classical idea of rest at quantum level. This leads us to a modification of
the relativistic theory by introducing the idea of a universal minimum speed
related to Planck minimum length. Such a speed, unattainable by the particles,
represents a privileged inertial reference frame associated with a universal
background field. The structure of space-time becomes extended due to such a
vacuum energy density, which leads to a cosmological anti-gravity, playing the
role of the cosmological constant. The tiny values of the vacuum energy density
and the cosmological constant are successfully obtained, being in agreement
with current observational results. We estimate the very high value of vacuum
energy density at Planck length scale. After we find the critical radius of the
universe, beyond which the accelerated expansion takes place. We show that such
a critical radius is $R_{uc}=r_g/2$, where $r_g=2GM/c^2$, being $r_g$ the
Shwarzschild radius of a sphere with a mass $M$ representing the total
attractive mass contained in our universe. And finally we obtain the radius
$R_{u0}=3r_g/4(>R_{uc})$ where we find the maximum rate of accelerated
expansion. For $R_u>R_{u0}$, the rate of acceleration decreases to zero at the
infinite, avoiding Big Rip.
| gr-qc | we attempt to find new symmetries in the spacetime structure leading to a modified gravitation at large length scales which provides the foundations of a quantum gravity at very low energies this search begins by considering a unified model for electrodynamics and gravitation so that the influence of the gravitational field on the electrodynamics at very large distances leads to a reformulation of our understanding about spacetime through the elimination of the classical idea of rest at quantum level this leads us to a modification of the relativistic theory by introducing the idea of a universal minimum speed related to planck minimum length such a speed unattainable by the particles represents a privileged inertial reference frame associated with a universal background field the structure of spacetime becomes extended due to such a vacuum energy density which leads to a cosmological antigravity playing the role of the cosmological constant the tiny values of the vacuum energy density and the cosmological constant are successfully obtained being in agreement with current observational results we estimate the very high value of vacuum energy density at planck length scale after we find the critical radius of the universe beyond which the accelerated expansion takes place we show that such a critical radius is r_ucr_g2 where r_g2gmc2 being r_g the shwarzschild radius of a sphere with a mass m representing the total attractive mass contained in our universe and finally we obtain the radius r_u03r_g4r_uc where we find the maximum rate of accelerated expansion for r_ur_u0 the rate of acceleration decreases to zero at the infinite avoiding big rip | [['we', 'attempt', 'to', 'find', 'new', 'symmetries', 'in', 'the', 'spacetime', 'structure', 'leading', 'to', 'a', 'modified', 'gravitation', 'at', 'large', 'length', 'scales', 'which', 'provides', 'the', 'foundations', 'of', 'a', 'quantum', 'gravity', 'at', 'very', 'low', 'energies', 'this', 'search', 'begins', 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709.1728 | Trouble with Physics? | This is a review of Lee Smolin's "The Trouble with Physics". The main gist of
the review is that the physics of the past three decades has been rich with new
discoveries in a large number of domains. The Standard Model, while providing a
successful framework for the electroweak and strong interactions still needs to
be developed further to fully account fot the mass of strong interaction data
collected over the decades. A multitude of new phenomena have been discovered
however, or predicted theoretically, in the physics of very low temperatures
(e.g. fractional Hall effect, Bose-Einstein condensation) and quantum
macroscopic effects (liquid crystals, high temperature superconductivity), some
of which remain to be fully explained. Therefore if there is any "Trouble with
Physics", as implied by the author of this book, it mainly concerns speculative
work on Superstring theory, which may or may not turn out to agree with the
results of observation. The subject as a whole does not appear to be in
trouble.
| physics.hist-ph hep-th physics.gen-ph physics.pop-ph | this is a review of lee smolins the trouble with physics the main gist of the review is that the physics of the past three decades has been rich with new discoveries in a large number of domains the standard model while providing a successful framework for the electroweak and strong interactions still needs to be developed further to fully account fot the mass of strong interaction data collected over the decades a multitude of new phenomena have been discovered however or predicted theoretically in the physics of very low temperatures eg fractional hall effect boseeinstein condensation and quantum macroscopic effects liquid crystals high temperature superconductivity some of which remain to be fully explained therefore if there is any trouble with physics as implied by the author of this book it mainly concerns speculative work on superstring theory which may or may not turn out to agree with the results of observation the subject as a whole does not appear to be in trouble | [['this', 'is', 'a', 'review', 'of', 'lee', 'smolins', 'the', 'trouble', 'with', 'physics', 'the', 'main', 'gist', 'of', 'the', 'review', 'is', 'that', 'the', 'physics', 'of', 'the', 'past', 'three', 'decades', 'has', 'been', 'rich', 'with', 'new', 'discoveries', 'in', 'a', 'large', 'number', 'of', 'domains', 'the', 'standard', 'model', 'while', 'providing', 'a', 'successful', 'framework', 'for', 'the', 'electroweak', 'and', 'strong', 'interactions', 'still', 'needs', 'to', 'be', 'developed', 'further', 'to', 'fully', 'account', 'fot', 'the', 'mass', 'of', 'strong', 'interaction', 'data', 'collected', 'over', 'the', 'decades', 'a', 'multitude', 'of', 'new', 'phenomena', 'have', 'been', 'discovered', 'however', 'or', 'predicted', 'theoretically', 'in', 'the', 'physics', 'of', 'very', 'low', 'temperatures', 'eg', 'fractional', 'hall', 'effect', 'boseeinstein', 'condensation', 'and', 'quantum', 'macroscopic', 'effects', 'liquid', 'crystals', 'high', 'temperature', 'superconductivity', 'some', 'of', 'which', 'remain', 'to', 'be', 'fully', 'explained', 'therefore', 'if', 'there', 'is', 'any', 'trouble', 'with', 'physics', 'as', 'implied', 'by', 'the', 'author', 'of', 'this', 'book', 'it', 'mainly', 'concerns', 'speculative', 'work', 'on', 'superstring', 'theory', 'which', 'may', 'or', 'may', 'not', 'turn', 'out', 'to', 'agree', 'with', 'the', 'results', 'of', 'observation', 'the', 'subject', 'as', 'a', 'whole', 'does', 'not', 'appear', 'to', 'be', 'in', 'trouble']] | [-0.08513970579668062, 0.16842196848195204, -0.10210939304279902, 0.06481658159996519, -0.11120882509531817, -0.14765730749804346, 0.02559929704023866, 0.30770923028041314, -0.24553751159834153, -0.35407300223028515, 0.1222894921275594, -0.25153717486806804, -0.1144946078612276, 0.19001556439296818, -0.0575240390835239, 0.031388796224236126, 0.024056565925115493, 0.0023850689471057594, -0.060424398368213145, -0.28207319704588596, 0.29103979545790226, 0.06816143665119165, 0.2619804954383431, 0.12433895927842525, 0.06496379504708939, -0.04350884372606964, -0.010160818704540229, 0.051589704817160964, -0.10331398776964683, 0.08051908707917702, 0.2564126098043677, 0.079971234921065, 0.2894752840000409, -0.4568228323421464, -0.27531780633030506, 0.09587948588177381, 0.1329789184073445, 0.14323781908450012, -0.08122067348591461, -0.2798146428696516, 0.05842521246210331, -0.17427209878294933, -0.11547080585562693, -0.07688588783621969, 0.033881118205921136, -0.03552273051971541, -0.192540899100827, 0.06219903358383241, 0.07726923076108683, 0.06323323756983083, -0.013194360134259956, -0.11572781015789455, 0.014850466743554556, 0.10799017630903641, 0.09601452493565953, 0.04862622714320357, 0.06538140336647857, -0.17669544338884696, -0.13006858041981326, 0.4112314218144137, -0.03699928526653022, -0.12391406207106917, 0.2275317600607395, -0.18418149286937877, -0.15095879471429238, 0.12985888897780637, 0.13821799297236395, 0.0766023528043794, -0.17834124904659734, 0.0891651290579963, -0.0433681668179882, 0.1559832067109599, 0.019035132914190976, 0.05189411668390853, 0.28257868002827574, 0.19912848727232435, -0.010583620062722574, 0.06124335897642063, -0.04611824567730698, -0.10512973581690614, -0.28394689806453066, -0.1350780949213048, -0.1639278720235225, 0.04898219455829282, 0.021292527481841163, -0.1601661043426181, 0.37197552889403773, 0.15955602539498814, 0.19742173392314283, -0.02734558523218034, 0.2587366854294953, 0.0913144427212523, 0.10934459821820804, 0.03436827193661707, 0.2855884993696236, 0.11383965095113281, 0.12548900454762255, -0.16578778508971104, 0.0945206002134222, 0.015115312025200849] |
709.1729 | Phase transition of computational power in the resource states for
one-way quantum computation | We study how heralded qubit losses during the preparation of a
two-dimensional cluster state, a universal resource state for one-way quantum
computation, affect its computational power. Above the percolation threshold we
present a polynomial-time algorithm that concentrates a universal cluster
state, using resources that scale optimally in the size of the original
lattice. On the other hand, below the percolation threshold, we show that
single qubit measurements on the faulty lattice can be efficiently simulated
classically. We observe a phase transition at the threshold when the amount of
entanglement in the faulty lattice directly relevant to the computational power
changes exponentially.
| quant-ph cond-mat.stat-mech | we study how heralded qubit losses during the preparation of a twodimensional cluster state a universal resource state for oneway quantum computation affect its computational power above the percolation threshold we present a polynomialtime algorithm that concentrates a universal cluster state using resources that scale optimally in the size of the original lattice on the other hand below the percolation threshold we show that single qubit measurements on the faulty lattice can be efficiently simulated classically we observe a phase transition at the threshold when the amount of entanglement in the faulty lattice directly relevant to the computational power changes exponentially | [['we', 'study', 'how', 'heralded', 'qubit', 'losses', 'during', 'the', 'preparation', 'of', 'a', 'twodimensional', 'cluster', 'state', 'a', 'universal', 'resource', 'state', 'for', 'oneway', 'quantum', 'computation', 'affect', 'its', 'computational', 'power', 'above', 'the', 'percolation', 'threshold', 'we', 'present', 'a', 'polynomialtime', 'algorithm', 'that', 'concentrates', 'a', 'universal', 'cluster', 'state', 'using', 'resources', 'that', 'scale', 'optimally', 'in', 'the', 'size', 'of', 'the', 'original', 'lattice', 'on', 'the', 'other', 'hand', 'below', 'the', 'percolation', 'threshold', 'we', 'show', 'that', 'single', 'qubit', 'measurements', 'on', 'the', 'faulty', 'lattice', 'can', 'be', 'efficiently', 'simulated', 'classically', 'we', 'observe', 'a', 'phase', 'transition', 'at', 'the', 'threshold', 'when', 'the', 'amount', 'of', 'entanglement', 'in', 'the', 'faulty', 'lattice', 'directly', 'relevant', 'to', 'the', 'computational', 'power', 'changes', 'exponentially']] | [-0.12545434016466953, 0.20669160773147746, -0.06130913349495518, 0.034350123496191334, -0.01496957804970812, -0.17575988504749787, 0.1743824917564888, 0.3837011167318514, -0.29827599641452035, -0.2624505565036088, 0.0913132442562555, -0.25545744537975235, -0.10949701874858082, 0.18396797902550144, -0.028635257149361867, 0.12802169285656995, 0.08059150846859459, 0.08811312449155467, -0.04642362682619086, -0.2688874588301866, 0.29925828247958114, 0.07459938201458553, 0.33496602934711417, 0.055687083422418425, 0.05333457381169469, -0.023481327076765274, 0.09541578521712286, 0.03294682431283711, -0.12904558416868336, 0.0622896703074964, 0.2344974648451783, 0.11673433045017542, 0.2617828446154547, -0.43659245060517055, -0.1991836641301945, 0.1221439417124274, 0.12412919440666342, 0.19642153907899218, -0.019077523650675273, -0.25135791971403554, 0.06257960399944741, -0.16786587403828998, -0.08332360686162615, -0.049172477068213545, -0.01771768702235589, -0.02463874646743741, -0.2200873008846204, 0.09038504804161811, 0.037448473014214105, 0.0010928539467034953, 0.012451510225182934, -0.05734461072906114, 0.004940199767156403, 0.12905507945913203, -0.101521567985563, 0.015764544637283624, 0.21165254577189813, -0.16594220733034915, -0.15972863295170855, 0.33510881075912186, -0.01239126628393879, -0.1442171323970698, 0.13614921394440502, -0.14866514086243834, -0.1681171375151613, 0.12674431834775624, 0.17426318436916363, 0.06374879535010988, -0.08930210150748902, 0.06727584676890827, -0.024574642784266482, 0.2685706204651753, 0.02527121804414852, 0.06520893346370742, 0.15619886551273637, 0.15961883984227193, 0.10015736144533989, 0.23557999141751743, -0.0905912082116719, -0.13953142774540303, -0.30542652823012506, -0.13682782319651013, -0.2620513947901897, 0.08108293321237227, -0.08881359358806865, -0.15847134415180156, 0.40328504690107436, 0.16075108440980168, 0.1956320845125483, 0.08059352826290202, 0.3006283227806118, 0.12644032278619152, 0.03982004153226401, 0.11265787324697554, 0.23333672532756436, 0.05130570136600792, 0.07280990833619444, -0.30801769500911824, 0.07641676977267581, 0.029425692454091098] |
709.173 | Spin-Dependent Tunneling of Single Electrons into an Empty Quantum Dot | Using real-time charge sensing and gate pulsing techniques we measure the
ratio of the rates for tunneling into the excited and ground spin states of a
single-electron AlGaAs/GaAs quantum dot in a parallel magnetic field. We find
that the ratio decreases with increasing magnetic field until tunneling into
the excited spin state is completely suppressed. However, we find that by
adjusting the voltages on the surface gates to change the orbital configuration
of the dot we can restore tunneling into the excited spin state and that the
ratio reaches a maximum when the dot is symmetric.
| cond-mat.mes-hall | using realtime charge sensing and gate pulsing techniques we measure the ratio of the rates for tunneling into the excited and ground spin states of a singleelectron algaasgaas quantum dot in a parallel magnetic field we find that the ratio decreases with increasing magnetic field until tunneling into the excited spin state is completely suppressed however we find that by adjusting the voltages on the surface gates to change the orbital configuration of the dot we can restore tunneling into the excited spin state and that the ratio reaches a maximum when the dot is symmetric | [['using', 'realtime', 'charge', 'sensing', 'and', 'gate', 'pulsing', 'techniques', 'we', 'measure', 'the', 'ratio', 'of', 'the', 'rates', 'for', 'tunneling', 'into', 'the', 'excited', 'and', 'ground', 'spin', 'states', 'of', 'a', 'singleelectron', 'algaasgaas', 'quantum', 'dot', 'in', 'a', 'parallel', 'magnetic', 'field', 'we', 'find', 'that', 'the', 'ratio', 'decreases', 'with', 'increasing', 'magnetic', 'field', 'until', 'tunneling', 'into', 'the', 'excited', 'spin', 'state', 'is', 'completely', 'suppressed', 'however', 'we', 'find', 'that', 'by', 'adjusting', 'the', 'voltages', 'on', 'the', 'surface', 'gates', 'to', 'change', 'the', 'orbital', 'configuration', 'of', 'the', 'dot', 'we', 'can', 'restore', 'tunneling', 'into', 'the', 'excited', 'spin', 'state', 'and', 'that', 'the', 'ratio', 'reaches', 'a', 'maximum', 'when', 'the', 'dot', 'is', 'symmetric']] | [-0.1837169227267926, 0.25835358299082145, -0.014205328867925951, 0.01250786878275297, 0.05631810594544125, -0.17898985736246686, 0.10560744332663792, 0.39117320417426527, -0.2454638712273057, -0.30571961695871624, 0.021338177130625507, -0.281779710756382, -0.05287993595508548, 0.19154089465155266, 0.019978424621513113, 0.0028942427306901664, 0.032771957077784464, 0.012321875896304846, -0.1039045864235959, -0.18147939356883094, 0.30207888543372974, 0.016369885283590218, 0.3078734811084966, 0.08552894998380604, 0.09752904995790838, 0.0374314216702866, 0.13775363312258074, 0.025365970951194566, -0.12594745718395947, 0.023069432144135742, 0.19793758578938045, 0.012255408062628703, 0.20110679533778844, -0.4765213830784584, -0.12292292655426233, 0.02608381335934003, 0.1704831125231673, 0.18810432951431721, -0.04696096956831752, -0.3109061104502568, 0.056817057920852676, -0.15294756399816833, -0.07026249682045697, -0.07406366044112171, 0.022286887593509164, -0.004916721912498663, -0.28598745476726134, 0.06823479173181113, 0.04182557473056173, -0.01554427826583075, -0.07986272561538499, -0.0563115173620948, -0.08384105581596184, 0.10147952783063374, 0.004039677670031476, 0.07931135180115234, 0.24735458274759972, -0.13058941052683318, -0.12055062124272808, 0.248585926524053, -0.10485332742003568, -0.14102815102160093, 0.10578876989408552, -0.20985645883289786, -0.0227275870856829, 0.12836421828251332, 0.11420134582052317, 0.11647118166729342, -0.088470356260738, 0.0755581986722973, 0.05760905846060874, 0.19436366274385364, 0.052066754268404715, 0.07577929958885458, 0.2763260940409964, 0.15252504227343402, 0.09706237039063126, 0.17199992349681756, -0.18404598558117868, -0.10951619626575848, -0.1977794553580073, -0.18677405114188636, -0.23035811939068176, 0.12822229432640597, -0.01763758870417102, -0.15994011952231327, 0.4392524990544189, 0.1293060812895419, 0.18156921050588912, -0.03173914305322493, 0.3341249297372997, 0.22391371062258258, 0.07173950373665623, 0.05413716684036748, 0.2666074696062424, 0.20819481570651988, 0.07067923390908011, -0.35413789344238467, 0.042518870405425936, -0.036632173034983374] |
709.1731 | Electronic transport in locally gated graphene nanoconstrictions | We have developed the combination of an etching and deposition technique that
enables the fabrication of locally gated graphene nanostructures of arbitrary
design. Employing this method, we have fabricated graphene nanoconstrictions
with local tunable transmission and characterized their electronic properties.
An order of magnitude enhanced gate efficiency is achieved adopting the local
gate geometry with thin dielectric gate oxide. A complete turn off of the
device is demonstrated as a function of the local gate voltage. Such strong
suppression of device conductance was found to be due to both quantum
confinement and Coulomb blockade effects in the constricted graphene
nanostructures.
| cond-mat.mes-hall | we have developed the combination of an etching and deposition technique that enables the fabrication of locally gated graphene nanostructures of arbitrary design employing this method we have fabricated graphene nanoconstrictions with local tunable transmission and characterized their electronic properties an order of magnitude enhanced gate efficiency is achieved adopting the local gate geometry with thin dielectric gate oxide a complete turn off of the device is demonstrated as a function of the local gate voltage such strong suppression of device conductance was found to be due to both quantum confinement and coulomb blockade effects in the constricted graphene nanostructures | [['we', 'have', 'developed', 'the', 'combination', 'of', 'an', 'etching', 'and', 'deposition', 'technique', 'that', 'enables', 'the', 'fabrication', 'of', 'locally', 'gated', 'graphene', 'nanostructures', 'of', 'arbitrary', 'design', 'employing', 'this', 'method', 'we', 'have', 'fabricated', 'graphene', 'nanoconstrictions', 'with', 'local', 'tunable', 'transmission', 'and', 'characterized', 'their', 'electronic', 'properties', 'an', 'order', 'of', 'magnitude', 'enhanced', 'gate', 'efficiency', 'is', 'achieved', 'adopting', 'the', 'local', 'gate', 'geometry', 'with', 'thin', 'dielectric', 'gate', 'oxide', 'a', 'complete', 'turn', 'off', 'of', 'the', 'device', 'is', 'demonstrated', 'as', 'a', 'function', 'of', 'the', 'local', 'gate', 'voltage', 'such', 'strong', 'suppression', 'of', 'device', 'conductance', 'was', 'found', 'to', 'be', 'due', 'to', 'both', 'quantum', 'confinement', 'and', 'coulomb', 'blockade', 'effects', 'in', 'the', 'constricted', 'graphene', 'nanostructures']] | [-0.16768346327880862, 0.12054607483820291, -0.05760542718693614, -0.0778206522052642, 0.022020318508148194, -0.22184906949289143, 0.07352974733803422, 0.4822501859348267, -0.2633597381785512, -0.3300218783505261, -0.027179388218792157, -0.2348136428114958, -0.17155614658724516, 0.24019546002149583, -0.03866800932213664, 0.08716414760798216, -0.03153741062618792, -0.15067069402430205, -0.07965571493376046, -0.23966823546448723, 0.22080092306714505, 0.08186091894167476, 0.35170134918764234, 0.1501740827038884, 0.08911637319251894, 0.004530492248013615, 0.09235122229903936, 0.0623252762388438, -0.09464473634645401, 0.0985492196958512, 0.2150813576951623, -0.115495679769665, 0.23497546112164855, -0.5211779042705893, -0.20308199073188007, -0.02779545676894486, 0.1254635779093951, 0.1521426127431914, -0.12199776481604203, -0.2678044925443828, 0.09591184107586742, -0.1719875927269459, -0.08978725544176996, -0.07948716962710023, -0.04521434920374304, 0.004056581947952509, -0.2503340961394133, 0.013617120571434499, 0.050193618836347015, 0.058937033414840696, -0.013909056766424328, -0.06174526910413988, -0.06138629473745823, 0.07718471800006227, -0.06955253187101335, 0.015550599386915564, 0.3066597062069923, -0.11180435619549826, -0.1299371702596545, 0.2991896370984614, -0.03184814543114044, -0.13346710529876873, 0.1450819969479926, -0.1467196736985352, 0.05470910664647818, 0.11928660806966945, 0.11776163392234594, 0.12916979127330705, -0.19219911699648948, 0.09309440347657073, 0.056015123422257604, 0.17868517987895757, 0.14193578593200074, 0.12435506171081215, 0.2157941018650308, 0.2477512463275343, 0.08888538452330977, 0.19116425734828227, -0.1190095440496225, 0.02240502608940005, -0.2144331261224579, -0.16225792104611172, -0.2077888236171566, 0.11935153579106554, -0.07934005712580984, -0.2590652948897332, 0.43833359338255834, 0.1132130211032927, 0.1526180668384768, -0.0656252358108759, 0.28732683092355726, 0.17158429300761782, 0.13995368177536874, -0.041750267350580544, 0.2436316336225718, 0.21068741092691198, 0.08419154932154925, -0.286179037054535, 0.08674095700960606, -0.018109859162941576] |
709.1732 | Many-pole model of inelastic losses in x-ray absorption spectra | Inelastic losses are crucial to a quantitative analysis of x-ray absorption
spectra. However, current treatments are semi-phenomenological in nature. Here
a first-principles, many-pole generalization of the plasmon-pole model is
developed for improved calculations of inelastic losses. The method is based on
the GW approximation for the self-energy and real space multiple scattering
calculations of the dielectric function for a given system. The model retains
the efficiency of the plasmon-pole model and is applicable both to periodic and
aperiodic materials over a wide energy range. The same many-pole model is
applied to extended GW calculations of the quasiparticle spectral function.
This yields estimates of multi-electron excitation effects, e.g., the many-body
amplitude factor $S_0^2$ due to intrinsic losses. Illustrative calculations are
compared with other GW calculations of the self-energy, the inelastic mean free
path, and experimental x-ray absorption spectra.
| cond-mat.mtrl-sci cond-mat.other | inelastic losses are crucial to a quantitative analysis of xray absorption spectra however current treatments are semiphenomenological in nature here a firstprinciples manypole generalization of the plasmonpole model is developed for improved calculations of inelastic losses the method is based on the gw approximation for the selfenergy and real space multiple scattering calculations of the dielectric function for a given system the model retains the efficiency of the plasmonpole model and is applicable both to periodic and aperiodic materials over a wide energy range the same manypole model is applied to extended gw calculations of the quasiparticle spectral function this yields estimates of multielectron excitation effects eg the manybody amplitude factor s_02 due to intrinsic losses illustrative calculations are compared with other gw calculations of the selfenergy the inelastic mean free path and experimental xray absorption spectra | [['inelastic', 'losses', 'are', 'crucial', 'to', 'a', 'quantitative', 'analysis', 'of', 'xray', 'absorption', 'spectra', 'however', 'current', 'treatments', 'are', 'semiphenomenological', 'in', 'nature', 'here', 'a', 'firstprinciples', 'manypole', 'generalization', 'of', 'the', 'plasmonpole', 'model', 'is', 'developed', 'for', 'improved', 'calculations', 'of', 'inelastic', 'losses', 'the', 'method', 'is', 'based', 'on', 'the', 'gw', 'approximation', 'for', 'the', 'selfenergy', 'and', 'real', 'space', 'multiple', 'scattering', 'calculations', 'of', 'the', 'dielectric', 'function', 'for', 'a', 'given', 'system', 'the', 'model', 'retains', 'the', 'efficiency', 'of', 'the', 'plasmonpole', 'model', 'and', 'is', 'applicable', 'both', 'to', 'periodic', 'and', 'aperiodic', 'materials', 'over', 'a', 'wide', 'energy', 'range', 'the', 'same', 'manypole', 'model', 'is', 'applied', 'to', 'extended', 'gw', 'calculations', 'of', 'the', 'quasiparticle', 'spectral', 'function', 'this', 'yields', 'estimates', 'of', 'multielectron', 'excitation', 'effects', 'eg', 'the', 'manybody', 'amplitude', 'factor', 's_02', 'due', 'to', 'intrinsic', 'losses', 'illustrative', 'calculations', 'are', 'compared', 'with', 'other', 'gw', 'calculations', 'of', 'the', 'selfenergy', 'the', 'inelastic', 'mean', 'free', 'path', 'and', 'experimental', 'xray', 'absorption', 'spectra']] | [-0.08291808036189989, 0.08062411694835028, -0.08998809039021713, 0.12151767599930048, -0.041001010937684206, -0.07697643751931126, 0.06082967924545553, 0.4080285082170128, -0.2281617332202294, -0.2873611709470079, -0.008310033124871552, -0.3424980013094244, -0.1262109217499077, 0.2261967611155833, 0.049650562808162324, 0.08530559247515987, 0.08133409818953896, -0.03678210956098879, -0.09651849696915733, -0.18043235965059512, 0.2771176933276936, 0.09978206343286039, 0.2596228997508594, 0.12633028545291128, 0.0288621165456563, 0.09152630009232973, -0.015260177514903302, 0.008951010804302162, -0.10598627213443065, 0.10688221305064911, 0.24381544617052278, -0.0013683940569469094, 0.21818123134124998, -0.40899129453910527, -0.2903724306188252, 0.017454399717087947, 0.10459681230256875, 0.12266255127279645, -0.028063884790966383, -0.22510929714997102, 0.04290725966494014, -0.1992859489447607, -0.11567267819042623, -0.11971608566096474, -0.027143054237516163, 0.041002256645358774, -0.27386258912050115, 0.10504133265166388, -0.01366338094553645, -0.002997259086116479, -0.1601955844633227, -0.13371072686022406, -0.0036081940098835604, 0.04400747685767982, 0.015452995875095745, 0.022683273911659682, 0.14247369444691135, -0.11877515443165644, -0.11371646211040716, 0.4120641272433483, -0.08136460772905853, -0.13245740827907176, 0.1583632706548937, -0.14391886959035954, -0.07135534441917726, 0.21240730012467907, 0.14409678149968386, 0.12120626162377315, -0.15546436011995168, 0.09980358896661468, 0.016836317817563274, 0.1766743425986845, 0.01486564501032342, 0.07087655971761467, 0.1543063895935027, 0.1971401228810776, -0.03806080619369491, 0.07579871736183069, -0.15392407187750143, -0.06922155027583676, -0.2865787377129785, -0.07559604816951103, -0.19567194721070083, 0.05144366608630104, -0.07619483583992565, -0.22480559113170326, 0.41502230921352323, 0.14027008627045112, 0.1359009792056125, 0.026411076987257403, 0.3237081324396125, 0.20089811996223716, 0.04589371236863743, 0.020639663947963693, 0.2573303198934716, 0.1870426817909291, 0.04310710834131923, -0.27751788243661585, 0.047980881167786454, 0.014336966098809656] |
709.1733 | Isolated Eigenvalues of the Ferromagnetic Spin-J XXZ Chain with Kink
Boundary Conditions | We investigate the low-lying excited states of the spin J ferromagnetic XXZ
chain with Ising anisotropy Delta and kink boundary conditions. Since the third
component of the total magnetization, M, is conserved, it is meaningful to
study the spectrum for each fixed value of M. We prove that for J>= 3/2 the
lowest excited eigenvalues are separated by a gap from the rest of the
spectrum, uniformly in the length of the chain. In the thermodynamic limit,
this means that there are a positive number of excitations above the ground
state and below the essential spectrum.
| math-ph cond-mat.stat-mech math.MP quant-ph | we investigate the lowlying excited states of the spin j ferromagnetic xxz chain with ising anisotropy delta and kink boundary conditions since the third component of the total magnetization m is conserved it is meaningful to study the spectrum for each fixed value of m we prove that for j 32 the lowest excited eigenvalues are separated by a gap from the rest of the spectrum uniformly in the length of the chain in the thermodynamic limit this means that there are a positive number of excitations above the ground state and below the essential spectrum | [['we', 'investigate', 'the', 'lowlying', 'excited', 'states', 'of', 'the', 'spin', 'j', 'ferromagnetic', 'xxz', 'chain', 'with', 'ising', 'anisotropy', 'delta', 'and', 'kink', 'boundary', 'conditions', 'since', 'the', 'third', 'component', 'of', 'the', 'total', 'magnetization', 'm', 'is', 'conserved', 'it', 'is', 'meaningful', 'to', 'study', 'the', 'spectrum', 'for', 'each', 'fixed', 'value', 'of', 'm', 'we', 'prove', 'that', 'for', 'j', '32', 'the', 'lowest', 'excited', 'eigenvalues', 'are', 'separated', 'by', 'a', 'gap', 'from', 'the', 'rest', 'of', 'the', 'spectrum', 'uniformly', 'in', 'the', 'length', 'of', 'the', 'chain', 'in', 'the', 'thermodynamic', 'limit', 'this', 'means', 'that', 'there', 'are', 'a', 'positive', 'number', 'of', 'excitations', 'above', 'the', 'ground', 'state', 'and', 'below', 'the', 'essential', 'spectrum']] | [-0.19881421749505535, 0.22716512002201247, 0.004219824341513838, 0.04226603275189215, -0.002055793156614527, -0.11177266497785847, 0.03367868988425471, 0.3398060703572507, -0.23919029543564344, -0.2824627905113933, 0.07683700109434237, -0.3316610615584068, -0.020970636901135247, 0.12415634622933187, 0.09344324202296168, 0.024826936152142782, 0.04440302091825288, 0.09016100004858647, -0.04898461885750294, -0.14936600919463672, 0.34028931614981656, 0.011895322386408225, 0.2476243811694682, 0.06262380073409683, 0.051572083044447936, 0.011810971300292294, 0.09538512950530276, -0.025736646105845768, -0.17628082120381805, 0.09618470670041764, 0.22578639287288146, 0.0005462370972963981, 0.21705614155507647, -0.34579471956628066, -0.16875931425723442, 0.12392224028008059, 0.13876982773460136, 0.11399820448908334, 0.05490018833612945, -0.2712011891029154, 0.09946183630866774, -0.13305130256776465, -0.1740743775978141, -0.05394980361840377, 0.060966917476131734, -0.0025304826582820774, -0.2366295833441351, 0.12812917288101744, 0.0991458581884217, 0.06836886626357834, -0.08909836684567078, -0.15611223102799462, -0.11872137628476291, 0.148821933985649, 0.07456704147140651, 0.021551656753824016, 0.0876786152269536, -0.10434923443002238, -0.070938672167055, 0.30479790093765285, -0.08869965719835211, -0.16210647690847205, 0.12660348742792848, -0.19091982053093184, -0.12965684132359456, 0.15052699949592352, 0.04650330534119954, 0.11632403847761452, -0.1116925655126882, 0.12032011895280448, -0.05031357363016772, 0.19841962676340094, 0.04054908038233407, 0.023656441893156927, 0.2360286121693207, 0.11616661411244422, 0.11385682921293967, 0.17179368442157283, -0.09376737044779777, -0.09862704853973507, -0.31995661680897075, -0.16189088369719684, -0.28694025451356237, 0.08424527095242713, -0.038173241097865684, -0.16388049541274086, 0.4269374868987749, 0.11592642381039771, 0.2201040652107622, 0.015367833916873982, 0.2121111385495169, 0.1580714309044803, 0.01316550815924226, 0.14494509590319163, 0.22433028402398728, 0.1945509902664829, 0.0869649051358768, -0.2878158483824033, -0.013240897523549696, 0.050515471390099265] |
709.1734 | Residual Velocities in Steady Free Boundary Value Problems of Vector
Laplacian Type | This paper describes a technique to determine the linear well-posedness of a
general class of vector elliptic problems that include a steady interface, to
be determined as part of the problem, that separates two subdomains. The
interface satisfies mixed Dirichlet and Neumann conditions. We consider ``2+2''
models, meaning two independent variables respectively on each subdomain. The
governing equations are taken to be vector Laplacian, to be able to make
analytic progress. The interface conditions can be classified into four large
categories, and we concentrate on the one with most physical interest. The
well-posedness criteria in this case are particularly clear. In many physical
cases, the movement of the interface in time-dependent situations can be
reduced to a normal motion proportional to the residual in one of the steady
state interface conditions (the elliptic interior problems and the other
interface conditions are satisfied at each time). If only the steady state is
of interest, one can consider using other residuals for the normal velocity.
Our analysis can be extended to give insight into choosing residual velocities
that have superior numerical properties. Hence, in the second part, we discuss
an iterative method to solve free boundary problems. The advantages of the
correctly chosen, non-physical residual velocities are demonstrated in a
numerical example, based on a simplified model of two-phase flow with phase
change in porous media.
| math.NA | this paper describes a technique to determine the linear wellposedness of a general class of vector elliptic problems that include a steady interface to be determined as part of the problem that separates two subdomains the interface satisfies mixed dirichlet and neumann conditions we consider 22 models meaning two independent variables respectively on each subdomain the governing equations are taken to be vector laplacian to be able to make analytic progress the interface conditions can be classified into four large categories and we concentrate on the one with most physical interest the wellposedness criteria in this case are particularly clear in many physical cases the movement of the interface in timedependent situations can be reduced to a normal motion proportional to the residual in one of the steady state interface conditions the elliptic interior problems and the other interface conditions are satisfied at each time if only the steady state is of interest one can consider using other residuals for the normal velocity our analysis can be extended to give insight into choosing residual velocities that have superior numerical properties hence in the second part we discuss an iterative method to solve free boundary problems the advantages of the correctly chosen nonphysical residual velocities are demonstrated in a numerical example based on a simplified model of twophase flow with phase change in porous media | [['this', 'paper', 'describes', 'a', 'technique', 'to', 'determine', 'the', 'linear', 'wellposedness', 'of', 'a', 'general', 'class', 'of', 'vector', 'elliptic', 'problems', 'that', 'include', 'a', 'steady', 'interface', 'to', 'be', 'determined', 'as', 'part', 'of', 'the', 'problem', 'that', 'separates', 'two', 'subdomains', 'the', 'interface', 'satisfies', 'mixed', 'dirichlet', 'and', 'neumann', 'conditions', 'we', 'consider', '22', 'models', 'meaning', 'two', 'independent', 'variables', 'respectively', 'on', 'each', 'subdomain', 'the', 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