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710.1553 | Heavy-light decay constant at the 1/m order of HQET | Following the strategy developed by the ALPHA collaboration, we present a
method to compute non-perturbatively the decay constant of a heavy-light meson
in HQET including the 1/m corrections. We start by a matching between HQET and
QCD in a small volume to determine the parameters of the effective theory
non-perturbatively. Observables in the effective theory are then evolved to
larger volumes. In two steps a large enough volume is reached to determine the
physical decay constant. Some preliminary results in the quenched approximation
are shown.
| hep-lat | following the strategy developed by the alpha collaboration we present a method to compute nonperturbatively the decay constant of a heavylight meson in hqet including the 1m corrections we start by a matching between hqet and qcd in a small volume to determine the parameters of the effective theory nonperturbatively observables in the effective theory are then evolved to larger volumes in two steps a large enough volume is reached to determine the physical decay constant some preliminary results in the quenched approximation are shown | [['following', 'the', 'strategy', 'developed', 'by', 'the', 'alpha', 'collaboration', 'we', 'present', 'a', 'method', 'to', 'compute', 'nonperturbatively', 'the', 'decay', 'constant', 'of', 'a', 'heavylight', 'meson', 'in', 'hqet', 'including', 'the', '1m', 'corrections', 'we', 'start', 'by', 'a', 'matching', 'between', 'hqet', 'and', 'qcd', 'in', 'a', 'small', 'volume', 'to', 'determine', 'the', 'parameters', 'of', 'the', 'effective', 'theory', 'nonperturbatively', 'observables', 'in', 'the', 'effective', 'theory', 'are', 'then', 'evolved', 'to', 'larger', 'volumes', 'in', 'two', 'steps', 'a', 'large', 'enough', 'volume', 'is', 'reached', 'to', 'determine', 'the', 'physical', 'decay', 'constant', 'some', 'preliminary', 'results', 'in', 'the', 'quenched', 'approximation', 'are', 'shown']] | [-0.0892772323164322, 0.23387311789590645, -0.10335900961037944, 0.12199055910357, -0.0047492293640971186, -0.08276572483043898, 0.08669100587858873, 0.33296633737490455, -0.1971575580208617, -0.27525185901014243, 0.0675709678859943, -0.27845329217174475, -0.0883845011196921, 0.12410835018929313, 0.02056098166743622, 0.09663313719279626, 0.04147366292445975, 0.050016306526958945, -0.08636136417660643, -0.24867382682996858, 0.3086563690935316, 0.019010916012613212, 0.2025860573110335, 0.12386284108985873, 0.04067796768401476, -0.041946207595003004, -0.09017070303397144, 0.05078600682318211, -0.17992938166922506, 0.10980564009617357, 0.20233800220303239, 0.053460154857705625, 0.2360883020741098, -0.3764155543244937, -0.14834151797215728, 0.06039363103096976, 0.14130736022146748, 0.16394371320767437, -0.021183631558190374, -0.24321509719114093, 0.13128180617247434, -0.1834674499490682, -0.17890896530931485, -0.1222024538937737, 0.0337095432312173, -0.0305266096311457, -0.3410485257997232, 0.017604365996222067, -0.09406844229327843, 0.003393579537377638, -0.02860335872563369, -0.16095385032103343, 0.06305439047077123, 0.1692629947381861, 0.07575003461063128, 0.0710903273018844, 0.12428665677195086, -0.16375715549870887, -0.0784879838965614, 0.41096760930822174, -0.12713850572267, -0.19061669306281734, 0.10194788284613476, -0.16898293017464525, -0.1602855445817113, 0.12207884004558711, 0.18472897492294363, 0.12484973375959431, -0.17985413829138613, 0.11496967077186769, -0.0011546512846561038, 0.15927265352186035, 0.05299065642277984, 0.018041697341729612, 0.15658736167037313, 0.1403260221157004, 0.018222531238022973, 0.08480369826806161, -0.016337493012714036, -0.1156697917072212, -0.34738328982801997, -0.07676320125294082, -0.17155869900084594, 0.06804083001197261, -0.13398176814576693, -0.14601081913330263, 0.3492313689935733, 0.12012686349780244, 0.23214137788642855, 0.05757474058910328, 0.3063506008618895, 0.11281520380255054, 0.0944088611368309, 0.0739255713600227, 0.304701039870612, 0.167585532479536, 0.11458984296221067, -0.2831604128073463, -0.03495389686568695, 0.15448853270534207] |
710.1554 | Weak magnetic fields in Ap/Bp stars: Evidence for a dipole field lower
limit and a tentative interpretation of the magnetic dichotomy | We have investigated a sample of 28 well-known spectroscopically-identified
magnetic Ap/Bp stars, with weak, poorly-determined or previously undetected
magnetic fields, with the aim of exploring the weak part of the magnetic field
distribution of Ap/Bp stars. Using the MuSiCoS and NARVAL spectropolarimeters
we have obtained 282 LSD Stokes V signatures of our 28 sample stars. All stars
were detected, showing clearly that when observed with sufficient precision,
all firmly classified Ap/Bp stars show detectable surface magnetic fields. To
better characterise the surface magnetic field intensities and geometries of
the sample, we have inferred the dipolar field intensity and the magnetic
obliquity. The distribution of derived dipole strengths for these stars
exhibits a plateau at about 1 kG, falling off to larger and smaller field
strengths. Remarkably, in this sample of stars selected for their presumably
weak magnetic fields, we find only 2 stars for which the derived dipole
strength is weaker than 300 G. We interpret this "magnetic threshold" as a
critical value necessary for the stability of large-scale magnetic fields, and
develop a simple quantitative model that is able to approximately reproduce the
observed threshold characteristics. This scenario leads to a natural
explanation of the small fraction of intermediate-mass magnetic stars. It may
also explain the near-absence of magnetic fields in more massive B and O-type
stars.
| astro-ph | we have investigated a sample of 28 wellknown spectroscopicallyidentified magnetic apbp stars with weak poorlydetermined or previously undetected magnetic fields with the aim of exploring the weak part of the magnetic field distribution of apbp stars using the musicos and narval spectropolarimeters we have obtained 282 lsd stokes v signatures of our 28 sample stars all stars were detected showing clearly that when observed with sufficient precision all firmly classified apbp stars show detectable surface magnetic fields to better characterise the surface magnetic field intensities and geometries of the sample we have inferred the dipolar field intensity and the magnetic obliquity the distribution of derived dipole strengths for these stars exhibits a plateau at about 1 kg falling off to larger and smaller field strengths remarkably in this sample of stars selected for their presumably weak magnetic fields we find only 2 stars for which the derived dipole strength is weaker than 300 g we interpret this magnetic threshold as a critical value necessary for the stability of largescale magnetic fields and develop a simple quantitative model that is able to approximately reproduce the observed threshold characteristics this scenario leads to a natural explanation of the small fraction of intermediatemass magnetic stars it may also explain the nearabsence of magnetic fields in more massive b and otype stars | [['we', 'have', 'investigated', 'a', 'sample', 'of', '28', 'wellknown', 'spectroscopicallyidentified', 'magnetic', 'apbp', 'stars', 'with', 'weak', 'poorlydetermined', 'or', 'previously', 'undetected', 'magnetic', 'fields', 'with', 'the', 'aim', 'of', 'exploring', 'the', 'weak', 'part', 'of', 'the', 'magnetic', 'field', 'distribution', 'of', 'apbp', 'stars', 'using', 'the', 'musicos', 'and', 'narval', 'spectropolarimeters', 'we', 'have', 'obtained', '282', 'lsd', 'stokes', 'v', 'signatures', 'of', 'our', '28', 'sample', 'stars', 'all', 'stars', 'were', 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710.1555 | Alpenglow - A Signature for Chameleons in Axion-Like Particle Search
Experiments | We point out that chameleon field theories might reveal themselves as an
'afterglow' effect in axion-like particle search experiments due to
chameleon-photon conversion in a magnetic field. We estimate the parameter
space which is accessible by currently available technology and find that
afterglow experiments could constrain this parameter space in a way
complementary to gravitational and Casimir force experiments.In addition, one
could reach photon-chameleon couplings which are beyond the sensitivity of
common laser polarization experiments. We also sketch the idea of a Fabry-Perot
cavity with chameleons which could increase the experimental sensitivity
significantly.
| hep-ph astro-ph hep-ex | we point out that chameleon field theories might reveal themselves as an afterglow effect in axionlike particle search experiments due to chameleonphoton conversion in a magnetic field we estimate the parameter space which is accessible by currently available technology and find that afterglow experiments could constrain this parameter space in a way complementary to gravitational and casimir force experimentsin addition one could reach photonchameleon couplings which are beyond the sensitivity of common laser polarization experiments we also sketch the idea of a fabryperot cavity with chameleons which could increase the experimental sensitivity significantly | [['we', 'point', 'out', 'that', 'chameleon', 'field', 'theories', 'might', 'reveal', 'themselves', 'as', 'an', 'afterglow', 'effect', 'in', 'axionlike', 'particle', 'search', 'experiments', 'due', 'to', 'chameleonphoton', 'conversion', 'in', 'a', 'magnetic', 'field', 'we', 'estimate', 'the', 'parameter', 'space', 'which', 'is', 'accessible', 'by', 'currently', 'available', 'technology', 'and', 'find', 'that', 'afterglow', 'experiments', 'could', 'constrain', 'this', 'parameter', 'space', 'in', 'a', 'way', 'complementary', 'to', 'gravitational', 'and', 'casimir', 'force', 'experimentsin', 'addition', 'one', 'could', 'reach', 'photonchameleon', 'couplings', 'which', 'are', 'beyond', 'the', 'sensitivity', 'of', 'common', 'laser', 'polarization', 'experiments', 'we', 'also', 'sketch', 'the', 'idea', 'of', 'a', 'fabryperot', 'cavity', 'with', 'chameleons', 'which', 'could', 'increase', 'the', 'experimental', 'sensitivity', 'significantly']] | [-0.1085430043649369, 0.20982623241747284, -0.09675704103441388, 0.08550700535296753, -0.1569459694587896, -0.13382517092270396, 0.03512871134350257, 0.3867907365884191, -0.22644428590372687, -0.3439812826453358, 0.043604656869936136, -0.25028784769356893, -0.11469787680005694, 0.2413022967082979, 0.01867806987576587, 0.008242370385516395, 0.04693473865508392, -0.010969771655596873, -0.027432110135553665, -0.21037865565958, 0.2516250556665948, 0.12418890043452221, 0.2369536637498807, 0.06947335288190203, 0.06402417577262368, -0.05212511194329108, 0.007103247838395257, 0.015396462141921724, -0.13967203454102606, 0.058250141680561085, 0.22191056985688465, 0.08967724866083553, 0.21043282387758133, -0.4150562141571314, -0.2217784573434181, 0.1309031751157055, 0.187363858509969, 0.11989438777253712, -0.07940015210507197, -0.31885169748897835, -0.01775249483480659, -0.16273150985599846, -0.12343408293040689, -0.10285458816415681, -0.031089573725557294, -0.012510048095337165, -0.2879172473324723, -0.0009780386115439356, -0.03171933515958728, 0.006107261429430657, -0.03879045358588619, -0.06108391865767458, 0.03986236786529902, 0.015540225876955896, 0.06766725062600447, 0.08827550886499305, 0.23349452896984996, -0.16378312804035203, -0.1264370887950864, 0.37713970211885306, -0.11945670175676544, -0.11614709856709646, 0.19485288662385317, -0.1893939602148709, -0.10316141334772912, 0.10619317338631679, 0.16084317246987734, 0.06125667058582347, -0.1282199196497439, 0.0764881834896001, -0.0042499084756659564, 0.21019634155973402, 0.06376896508949338, 0.07110758296524484, 0.2955137545102707, 0.15111568060162808, 0.06204936860670005, 0.11357598184477738, -0.1380218109917096, -0.041067704032625885, -0.32387738350418305, -0.15161312172209385, -0.1450173991255998, 0.03980744033501113, -0.09044544170429099, -0.0945970183689027, 0.33222223687115854, 0.2408959856457127, 0.1462713891430007, -0.031247627797476467, 0.3024056824312235, 0.060091180486544486, 0.1189113864074311, -0.010694672095699496, 0.38791984952585673, 0.08220147780363038, 0.09829031278990129, -0.22615924853611216, 0.008335050031472679, -0.002193643831677975] |
710.1556 | Hidden in the Light: Magnetically Induced Afterglow from Trapped
Chameleon Fields | We propose an afterglow phenomenon as a unique trace of chameleon fields in
optical experiments. The vacuum interaction of a laser pulse with a magnetic
field can lead to a production and subsequent trapping of chameleons in the
vacuum chamber, owing to their mass dependence on the ambient matter density.
Magnetically induced re-conversion of the trapped chameleons into photons
creates an afterglow over macroscopic timescales that can conveniently be
searched for by current optical experiments. We show that the chameleon
parameter range accessible to available laboratory technology is comparable to
scales familiar from astrophysical stellar energy loss arguments. We analyze
quantitatively the afterglow properties for various experimental scenarios and
discuss the role of potential background and systematic effects. We conclude
that afterglow searches represent an ideal tool to aim at the production and
detection of cosmologically relevant scalar fields in the laboratory.
| hep-ph | we propose an afterglow phenomenon as a unique trace of chameleon fields in optical experiments the vacuum interaction of a laser pulse with a magnetic field can lead to a production and subsequent trapping of chameleons in the vacuum chamber owing to their mass dependence on the ambient matter density magnetically induced reconversion of the trapped chameleons into photons creates an afterglow over macroscopic timescales that can conveniently be searched for by current optical experiments we show that the chameleon parameter range accessible to available laboratory technology is comparable to scales familiar from astrophysical stellar energy loss arguments we analyze quantitatively the afterglow properties for various experimental scenarios and discuss the role of potential background and systematic effects we conclude that afterglow searches represent an ideal tool to aim at the production and detection of cosmologically relevant scalar fields in the laboratory | [['we', 'propose', 'an', 'afterglow', 'phenomenon', 'as', 'a', 'unique', 'trace', 'of', 'chameleon', 'fields', 'in', 'optical', 'experiments', 'the', 'vacuum', 'interaction', 'of', 'a', 'laser', 'pulse', 'with', 'a', 'magnetic', 'field', 'can', 'lead', 'to', 'a', 'production', 'and', 'subsequent', 'trapping', 'of', 'chameleons', 'in', 'the', 'vacuum', 'chamber', 'owing', 'to', 'their', 'mass', 'dependence', 'on', 'the', 'ambient', 'matter', 'density', 'magnetically', 'induced', 'reconversion', 'of', 'the', 'trapped', 'chameleons', 'into', 'photons', 'creates', 'an', 'afterglow', 'over', 'macroscopic', 'timescales', 'that', 'can', 'conveniently', 'be', 'searched', 'for', 'by', 'current', 'optical', 'experiments', 'we', 'show', 'that', 'the', 'chameleon', 'parameter', 'range', 'accessible', 'to', 'available', 'laboratory', 'technology', 'is', 'comparable', 'to', 'scales', 'familiar', 'from', 'astrophysical', 'stellar', 'energy', 'loss', 'arguments', 'we', 'analyze', 'quantitatively', 'the', 'afterglow', 'properties', 'for', 'various', 'experimental', 'scenarios', 'and', 'discuss', 'the', 'role', 'of', 'potential', 'background', 'and', 'systematic', 'effects', 'we', 'conclude', 'that', 'afterglow', 'searches', 'represent', 'an', 'ideal', 'tool', 'to', 'aim', 'at', 'the', 'production', 'and', 'detection', 'of', 'cosmologically', 'relevant', 'scalar', 'fields', 'in', 'the', 'laboratory']] | [-0.10109758810271365, 0.22128756492327764, -0.0995362725717173, 0.10761062941648407, -0.08592754623255837, -0.09129032440168756, -0.013610208744812809, 0.4099757956131033, -0.22679523735726909, -0.3189080349025382, 0.02316150348674519, -0.2361859137038241, -0.036779683624381124, 0.26024376776751496, 0.028352064201050818, 0.020354498364687175, 0.031706667759350805, -0.018604030406338647, -0.011927266142816402, -0.19770345108216286, 0.29297595120913966, 0.12179162924962518, 0.24116081886098417, 0.1041903480019217, 0.08666352962527397, -0.03676218232861392, -0.011409400699128935, -0.008349195188304908, -0.14630311765476633, 0.04432139874921298, 0.21494084881482528, 0.11632847891215392, 0.20507172895201914, -0.46397359694131246, -0.2408163474321785, 0.13082809796766706, 0.12788520051448435, 0.11396033694298649, -0.1212362392426757, -0.31051230464707796, 0.005478190940240739, -0.1847056741662271, -0.14227729974048947, -0.06549169914305053, -0.0013805205866523926, 0.004700893493579097, -0.2647476756197571, 0.05141461561893074, -0.041000794843954205, 0.03812791433727039, -0.10560900352618159, -0.026638990102506335, 0.019545216253519217, 0.046228443477368375, 0.0739278575605516, 0.026883707129278442, 0.21474891838053584, -0.2022478349742965, -0.09688133433293945, 0.40032291875391357, -0.13013156412274274, -0.0821012949233245, 0.21090454712811804, -0.1639142608611097, -0.07540869467865519, 0.1400076425675316, 0.19435520051211172, 0.09663795058051465, -0.14324767914810546, 0.06539965489826782, 0.02074489461399064, 0.16615657536247352, 0.048136252021207145, 0.09511252806823649, 0.31237841583788395, 0.15330628429959253, 0.008155952493043643, 0.1362372243618691, -0.13784927523671978, -0.017294128494284734, -0.337154486413363, -0.14353310455187734, -0.13076693656924837, 0.06969172687230396, -0.0783498350143085, -0.12626498632303532, 0.3862319307690355, 0.19441472844574864, 0.17608231263609053, -0.03012667111003063, 0.31007246046104064, 0.05965761665474545, 0.0640095173541955, 0.02802777197867842, 0.33523512093192886, 0.12011488452127439, 0.11897137876219628, -0.24546612733253606, 0.027895683380053708, -0.009334437803260352] |
710.1557 | High-energy neutrinos in the context of multimessenger physics | The field of astroparticle physics is currently developing rapidly, since new
experiments challenge our understanding of the investigated processes. Three
messengers can be used to extract information on the properties of
astrophysical sources: photons, charged Cosmic Rays and neutrinos. This review
focuses on high-energy neutrinos (E>100 GeV) with the main topics as follows.
The production mechanism of high-energy neutrinos in astrophysical shocks.
The connection between the observed photon spectra and charged Cosmic Rays is
described and the source properties as they are known from photon observations
and from charged Cosmic Rays are presented.
High-energy neutrino detection. Current detection methods are described and
the status of the next generation neutrino telescopes are reviewed. In
particular, water and ice Cherenkov detectors as well as radio measurements in
ice and with balloon experiments are presented. In addition, future
perspectives for optical, radio and acoustic detection of neutrinos are
reviewed.
Sources of neutrino emission. The main source classes are reviewed, i.e.
galactic sources, Active Galactic Nuclei, starburst galaxies and Gamma Ray
Bursts. The interaction of high energy protons with the cosmic microwave
background implies the production of neutrinos, referred to as GZK neutrinos.
Implications of neutrino flux limits. Recent limits given by the AMANDA
experiment and their implications regarding the physics of the sources are
presented.
| astro-ph | the field of astroparticle physics is currently developing rapidly since new experiments challenge our understanding of the investigated processes three messengers can be used to extract information on the properties of astrophysical sources photons charged cosmic rays and neutrinos this review focuses on highenergy neutrinos e100 gev with the main topics as follows the production mechanism of highenergy neutrinos in astrophysical shocks the connection between the observed photon spectra and charged cosmic rays is described and the source properties as they are known from photon observations and from charged cosmic rays are presented highenergy neutrino detection current detection methods are described and the status of the next generation neutrino telescopes are reviewed in particular water and ice cherenkov detectors as well as radio measurements in ice and with balloon experiments are presented in addition future perspectives for optical radio and acoustic detection of neutrinos are reviewed sources of neutrino emission the main source classes are reviewed ie galactic sources active galactic nuclei starburst galaxies and gamma ray bursts the interaction of high energy protons with the cosmic microwave background implies the production of neutrinos referred to as gzk neutrinos implications of neutrino flux limits recent limits given by the amanda experiment and their implications regarding the physics of the sources are presented | [['the', 'field', 'of', 'astroparticle', 'physics', 'is', 'currently', 'developing', 'rapidly', 'since', 'new', 'experiments', 'challenge', 'our', 'understanding', 'of', 'the', 'investigated', 'processes', 'three', 'messengers', 'can', 'be', 'used', 'to', 'extract', 'information', 'on', 'the', 'properties', 'of', 'astrophysical', 'sources', 'photons', 'charged', 'cosmic', 'rays', 'and', 'neutrinos', 'this', 'review', 'focuses', 'on', 'highenergy', 'neutrinos', 'e100', 'gev', 'with', 'the', 'main', 'topics', 'as', 'follows', 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710.1558 | Sedimentation of pairs of hydrodynamically interacting semiflexible
filaments | We describe the effect of hydrodynamic interactions in the sedimentation of a
pair of inextensible semiflexible filaments under a uniform constant force at
low Reynolds numbers. We have analyzed the different regimes and the morphology
of such polymers in simple geometries, which allow us to highlight the
peculiarities of the interplay between elastic and hydrodynamic stresses.
Cooperative and symmetry breaking effects associated to the geometry of the
fibers gives rise to characteristic motion which give them distinct properties
from rigid and elastic filaments.
| cond-mat.soft cond-mat.stat-mech | we describe the effect of hydrodynamic interactions in the sedimentation of a pair of inextensible semiflexible filaments under a uniform constant force at low reynolds numbers we have analyzed the different regimes and the morphology of such polymers in simple geometries which allow us to highlight the peculiarities of the interplay between elastic and hydrodynamic stresses cooperative and symmetry breaking effects associated to the geometry of the fibers gives rise to characteristic motion which give them distinct properties from rigid and elastic filaments | [['we', 'describe', 'the', 'effect', 'of', 'hydrodynamic', 'interactions', 'in', 'the', 'sedimentation', 'of', 'a', 'pair', 'of', 'inextensible', 'semiflexible', 'filaments', 'under', 'a', 'uniform', 'constant', 'force', 'at', 'low', 'reynolds', 'numbers', 'we', 'have', 'analyzed', 'the', 'different', 'regimes', 'and', 'the', 'morphology', 'of', 'such', 'polymers', 'in', 'simple', 'geometries', 'which', 'allow', 'us', 'to', 'highlight', 'the', 'peculiarities', 'of', 'the', 'interplay', 'between', 'elastic', 'and', 'hydrodynamic', 'stresses', 'cooperative', 'and', 'symmetry', 'breaking', 'effects', 'associated', 'to', 'the', 'geometry', 'of', 'the', 'fibers', 'gives', 'rise', 'to', 'characteristic', 'motion', 'which', 'give', 'them', 'distinct', 'properties', 'from', 'rigid', 'and', 'elastic', 'filaments']] | [-0.19193750564906611, 0.17852048949529248, -0.1168433585329015, 0.02818376800965473, -0.07815522952454097, -0.10462211551571107, -0.027362965473748117, 0.3722725590937827, -0.31537765849112387, -0.26383088002015037, -0.010038785790710384, -0.2243310327091849, -0.15363129889255905, 0.13669836569397922, 0.011976021493459681, -0.007864297266645604, -0.007473991639597948, -0.03476578285861536, -0.010662207970429346, -0.15661829141956046, 0.29444786937660483, 0.03893153942807252, 0.3069026203579213, 0.08047975224641948, 0.12800184268425835, -0.01022030695913786, 0.01799842224355383, 0.08477187762597957, -0.2551622592945056, 0.08496419737025736, 0.18779794152556772, -0.04826820500374558, 0.16379470962761755, -0.5257101403661522, -0.19208990964836564, 0.07343354124396322, 0.12332793790286026, 0.14287822119644786, 0.0018937059689358056, -0.23551106964608273, 0.039180398570844925, -0.1569602566277496, -0.16230287905558047, -0.059151110385196756, 0.07171724281127913, 0.10830853361052921, -0.2127818664176816, 0.13007576312555605, 0.06505332626290171, 0.10375223602504885, -0.08313157970467246, -0.028625144272571408, -0.024126219372433352, 0.14072919419282173, 0.11729137214035334, -0.07076366909454207, 0.19897202649350132, -0.17621888332517752, -0.05252528596243047, 0.42746201963220015, 0.005153888216556375, -0.20013363386717548, 0.28625072092266685, -0.11849950220862246, -0.09659421789538429, 0.195821400389569, 0.21635379761188145, 0.07230077900486179, -0.09232771125655756, 0.0207915201180766, -0.014474654881597823, 0.10049168997814498, 0.094506730771545, 0.006734875210347664, 0.23781815837333764, 0.14381313483309316, 0.014117597846359194, 0.1866016416888998, -0.09757383288752501, -0.1039368647504149, -0.3099548672382013, -0.12257712273802383, -0.08341130383273429, 0.06781730589916907, -0.12134168325034138, -0.18524089465142193, 0.36487518106194505, 0.08769254781395557, 0.23410480615335055, 0.04641548290859953, 0.23096839510779604, 0.0033265048839959755, 0.06720442879743066, 0.021630469597427242, 0.27979716775288066, 0.1991820561935205, 0.08232901188690799, -0.27267047698631974, 0.024446974138179457, 0.06120817083304366] |
710.1559 | Classical and quantum behavior of dynamical systems defined by functions
of solvable Hamiltonians | We discuss the classical and quantum mechanical evolution of systems
described by a Hamiltonian that is a function of a solvable one, both
classically and quantum mechanically. The case in which the solvable
Hamiltonian corresponds to the harmonic oscillator is emphasized. We show that,
in spite of the similarities at the classical level, the quantum evolution is
very different. In particular, this difference is important in constructing
coherent states, which is impossible in most cases. The class of Hamiltonians
we consider is interesting due to its pedagogical value and its applicability
to some open research problems in quantum optics and quantum gravity.
| quant-ph | we discuss the classical and quantum mechanical evolution of systems described by a hamiltonian that is a function of a solvable one both classically and quantum mechanically the case in which the solvable hamiltonian corresponds to the harmonic oscillator is emphasized we show that in spite of the similarities at the classical level the quantum evolution is very different in particular this difference is important in constructing coherent states which is impossible in most cases the class of hamiltonians we consider is interesting due to its pedagogical value and its applicability to some open research problems in quantum optics and quantum gravity | [['we', 'discuss', 'the', 'classical', 'and', 'quantum', 'mechanical', 'evolution', 'of', 'systems', 'described', 'by', 'a', 'hamiltonian', 'that', 'is', 'a', 'function', 'of', 'a', 'solvable', 'one', 'both', 'classically', 'and', 'quantum', 'mechanically', 'the', 'case', 'in', 'which', 'the', 'solvable', 'hamiltonian', 'corresponds', 'to', 'the', 'harmonic', 'oscillator', 'is', 'emphasized', 'we', 'show', 'that', 'in', 'spite', 'of', 'the', 'similarities', 'at', 'the', 'classical', 'level', 'the', 'quantum', 'evolution', 'is', 'very', 'different', 'in', 'particular', 'this', 'difference', 'is', 'important', 'in', 'constructing', 'coherent', 'states', 'which', 'is', 'impossible', 'in', 'most', 'cases', 'the', 'class', 'of', 'hamiltonians', 'we', 'consider', 'is', 'interesting', 'due', 'to', 'its', 'pedagogical', 'value', 'and', 'its', 'applicability', 'to', 'some', 'open', 'research', 'problems', 'in', 'quantum', 'optics', 'and', 'quantum', 'gravity']] | [-0.12546617223643788, 0.15454715441948935, -0.06688361752358284, 0.09097360723820862, -0.02518008234819361, -0.16906263023231397, -0.018846204725788067, 0.33937592263899596, -0.2681699865509062, -0.24963746219873428, 0.08981441818497271, -0.2612522215326773, -0.19897783032216715, 0.23428809855535043, -0.06672645519560605, 0.06538227731453292, 0.05963543405318085, 0.05872317945913357, -0.07254041614942253, -0.2375597438076511, 0.3191236377894586, 0.03620533064331896, 0.22565604693840677, 0.05518312947641985, 0.10244921183752298, -0.00022540432309695318, 0.06865369821624721, 0.014031457955681224, -0.10689232962770392, 0.1107185535405662, 0.2967642387238276, 0.07192340069541744, 0.28901347973128305, -0.37836054986452355, -0.20735609118470594, 0.09680578941661938, 0.10070852791079019, 0.18806605027102882, -0.03196050814699893, -0.2528620234247772, 0.03881345134840219, -0.1396045404527446, -0.1543083168684925, -0.06285844827253445, 0.04527684157787293, -0.041778401065362146, -0.16660229760386489, 0.063789475234408, 0.08186347518737118, 0.027301092135851777, -0.025540885533772262, -0.041149209436102244, 0.04254753282521943, 0.11476575212516621, -0.009992896753828973, 0.0011464615741073538, 0.10078933835257868, -0.17032655678899483, -0.13424686218301454, 0.4663717271029657, -0.03821301073128102, -0.21279648844125298, 0.21538878611161136, -0.12959270549518073, -0.14492678424051286, 0.03618999695697544, 0.10118538569932913, 0.11201832695937186, -0.13969856413884782, 0.171179455081894, -0.002472293344052399, 0.12266105102425368, 0.02519467044804318, 0.060197899154588286, 0.2092403260895106, 0.12781167046997843, 0.059541677424967215, 0.19730353783633486, -0.007645525325856665, -0.22824065966129886, -0.3222053249677022, -0.17768314478955433, -0.212317734728476, 0.08344350559819563, -0.01932902701196772, -0.1609654851330846, 0.4396247753289108, 0.1634465441799394, 0.1547799309094747, -0.008268290153686322, 0.23626815900206566, 0.1815669215626686, 0.021031495128922603, 0.06604979172926488, 0.2714031954565857, 0.17523637610743298, 0.06260535511526041, -0.26414076025214267, -0.005590855481796989, 0.02481115207660432] |
710.156 | Manin's conjecture for a quartic del Pezzo surface with A_4 singularity | The Manin conjecture is established for a split singular del Pezzo surface of
degree four, with singularity type A_4.
| math.NT math.AG | the manin conjecture is established for a split singular del pezzo surface of degree four with singularity type a_4 | [['the', 'manin', 'conjecture', 'is', 'established', 'for', 'a', 'split', 'singular', 'del', 'pezzo', 'surface', 'of', 'degree', 'four', 'with', 'singularity', 'type', 'a_4']] | [-0.28785952582563223, -0.04329411028639266, -0.10976159396140199, 0.16125054503668493, -0.10732648747139856, -0.38005707508541253, -0.08787942496373465, 0.2095715015342361, -0.25414331453411204, -0.25993889837378736, 0.06802662736491154, -0.2641745772286269, -0.1409658758263839, 0.12996040206206472, -0.14882636609438218, -0.05205130979026619, -0.034295232672440376, 0.0017441029194742441, -0.16177104080193921, -0.5121012505536017, 0.5126221474064024, -0.1039944026423128, 0.19916431605815887, 0.11613382702987445, 0.14249115103953763, 0.05096126291410703, 0.1011399047841367, -0.0998869032451981, -0.13800071763168825, 0.09522034425141387, 0.3519219473788613, 0.010079527371808103, 0.08090084242193323, -0.3200933140163359, -0.1783396081239181, 0.21453447674254053, 0.05644525778724959, 0.035744817339276015, -0.04418138316587398, -0.22192756086587906, 0.08587107206939866, -0.12527235275774729, -0.38156374249803393, 0.04092611544030277, -0.005414963993979127, -0.05195026888855194, -0.1949100338510777, 0.030238345167354533, 0.06742146846495177, 0.21410279299475646, 0.05345567595213652, -0.14344854123498263, -0.19911200572785578, -0.06503536721299354, -0.001646762775061162, 0.029415370479814316, -0.041088983612625224, -0.05410085491051799, -0.12046962600250385, 0.24892312877713457, -0.06172762036715683, -0.1454643789482744, 0.06548026066861655, -0.10820767731944982, -0.1940439449819295, 0.15225073989284665, 0.00226395567388911, 0.20506821406122885, 0.006540263169690182, 0.2465020353464704, -0.07838545769060913, -0.011820314090551906, 0.28180054256594494, -0.13328675082639643, 0.2146734398740687, 0.11578137094252988, 0.06526302624689906, -0.01469809679608596, -0.10758288819833021, -0.008735425378146925, -0.3957919780361025, -0.17477076314389706, -0.09408349906535525, 0.21439105394835534, -0.1553979679991148, -0.20749910342458047, 0.47449177307517904, -0.13863157485856822, 0.1695468508099255, 0.1020749308364956, 0.11086357198655605, -0.046577576400810165, 0.045566492517919915, -0.024294149302142232, 0.17387172540551737, 0.2375650533327931, -0.10527026800340727, -0.1748856574934172, -0.026461926558496135, 0.29183690720482874] |
710.1561 | Dark Matter in Gauge Mediated Supersymmetry Breaking using Metastable
Vacua | We point out that, in a class of gauge mediation models using metastable
supersymmetry breaking vacua, the minimum of the supersymmetry breaking field
in the early universe is dynamically deviated from the one in the low energy.
The deviation induces coherent oscillations of the supersymmetry breaking
field, which decays into the gravitinos. For certain parameters, it can produce
a right amount of the gravitinos to account for the observed dark matter.
| hep-ph | we point out that in a class of gauge mediation models using metastable supersymmetry breaking vacua the minimum of the supersymmetry breaking field in the early universe is dynamically deviated from the one in the low energy the deviation induces coherent oscillations of the supersymmetry breaking field which decays into the gravitinos for certain parameters it can produce a right amount of the gravitinos to account for the observed dark matter | [['we', 'point', 'out', 'that', 'in', 'a', 'class', 'of', 'gauge', 'mediation', 'models', 'using', 'metastable', 'supersymmetry', 'breaking', 'vacua', 'the', 'minimum', 'of', 'the', 'supersymmetry', 'breaking', 'field', 'in', 'the', 'early', 'universe', 'is', 'dynamically', 'deviated', 'from', 'the', 'one', 'in', 'the', 'low', 'energy', 'the', 'deviation', 'induces', 'coherent', 'oscillations', 'of', 'the', 'supersymmetry', 'breaking', 'field', 'which', 'decays', 'into', 'the', 'gravitinos', 'for', 'certain', 'parameters', 'it', 'can', 'produce', 'a', 'right', 'amount', 'of', 'the', 'gravitinos', 'to', 'account', 'for', 'the', 'observed', 'dark', 'matter']] | [-0.14545037059611837, 0.29555286173249634, -0.10109744165223879, 0.18378910903235188, -0.08371628273908101, -0.11462110132766022, 0.020813411319772646, 0.2833191107427308, -0.2576701039789428, -0.31149142739218727, 0.0798254893931993, -0.24324506223464096, -0.028824423826758712, 0.08595635233656831, 0.012045066757783504, -0.016030546133472046, -0.0050027522350281056, 0.014603876823585637, -0.024679110670777063, -0.22936670713021723, 0.293955162875879, 0.013829559520621535, 0.2521286608034771, 0.006268967421804095, 0.10079431623010568, -0.06248407302306257, 0.059746828927120695, -0.057334474405982126, -0.09122016127981675, 0.056144180078006964, 0.18004696570816622, 0.1039648877561722, 0.15023813641000486, -0.4264980964624966, -0.2375305770096225, 0.2260527132000302, 0.15824188158271874, 0.18651098801760974, -0.09874740788634394, -0.33443602586401183, 0.08439939591745046, -0.1297243977765697, -0.08311233453905131, -0.048351377694749495, -0.028077661495944355, -0.15009754594467895, -0.30481792986392975, 0.10491388541003557, -0.03776684909744162, -0.0007317024020766708, -0.06114486552460093, -0.055773842837136815, -0.12059078050423151, 0.014443246493588241, 0.2093215508314348, -0.01591288257049213, 0.1855399722174387, -0.2450965418624626, -0.07155664037080141, 0.4267233875121029, -0.09833746896663183, -0.1171872119196284, 0.1213455319725974, -0.12175959497559029, -0.19608257988362876, 0.2131542581966488, 0.12021538752301687, 0.09341711463065634, -0.0999687083432792, 0.18806342721931493, -0.005133471569754708, 0.15904301376300076, 0.06740062147326453, 0.05434771667195248, 0.3418214349732013, 0.1537782468990436, 0.07613169698989097, 0.10023904943340262, -0.03669340394332375, -0.10959564380242791, -0.44013702197813653, -0.1219967363376013, -0.11648210490935705, 0.07710744710462857, -0.09910879179205694, -0.10714940755614932, 0.43380583056681593, 0.11904476215065994, 0.2196183202683296, 0.0314198354676015, 0.212673197428263, 0.0979278752396644, 0.12626484671974897, 0.01793273732157975, 0.31509471335776257, 0.10109247714707392, 0.11523356684155657, -0.2674917582074889, -0.05807231134418595, 0.0498639019730855] |
710.1562 | Dark energy and 3-manifold topology | We show that the differential-geometric description of matter by differential
structures of spacetime leads to a unifying model of the three types of energy
in the cosmos: matter, dark matter and dark energy. Using this model we are
able to calculate the ratio of dark energy to the total energy of the cosmos.
| gr-qc | we show that the differentialgeometric description of matter by differential structures of spacetime leads to a unifying model of the three types of energy in the cosmos matter dark matter and dark energy using this model we are able to calculate the ratio of dark energy to the total energy of the cosmos | [['we', 'show', 'that', 'the', 'differentialgeometric', 'description', 'of', 'matter', 'by', 'differential', 'structures', 'of', 'spacetime', 'leads', 'to', 'a', 'unifying', 'model', 'of', 'the', 'three', 'types', 'of', 'energy', 'in', 'the', 'cosmos', 'matter', 'dark', 'matter', 'and', 'dark', 'energy', 'using', 'this', 'model', 'we', 'are', 'able', 'to', 'calculate', 'the', 'ratio', 'of', 'dark', 'energy', 'to', 'the', 'total', 'energy', 'of', 'the', 'cosmos']] | [-0.12285452026803538, 0.09268184800474148, -0.16057311265536076, 0.14398950860914686, -0.06230862062635287, -0.009489907575595492, -0.03854415265026168, 0.2997233528854712, -0.2268336951679919, -0.45088311530790237, -0.04536448510688782, -0.24196479813951366, -0.04931863600317881, 0.12735782532715503, 0.020779018606639135, -0.009464404088849167, -0.05973367046187017, 0.03301451193555346, -0.0414266232884366, -0.2650273641184816, 0.3760997865322696, 0.06900181593197696, 0.24347479543033637, 0.04898639747275496, 0.1536819775641527, -0.027242958844410924, -0.08099484387433754, 0.0046153182409844305, -0.21254580833068895, 0.12853319303325886, 0.19844315086385972, 0.08878062183986295, 0.17200372408073888, -0.4370336927614122, -0.22876689764056005, 0.18065002848798373, 0.09544335833733093, 0.10642163933448072, -0.048195181361768605, -0.27609504467614415, 0.09911770245306334, -0.2138364786317326, -0.11463818835305437, -0.06653464409821438, -0.0625134796115025, 0.043857365389758686, -0.18851673194505977, 0.14391489290052428, -0.013147975862869676, -0.09410893027934264, -0.16277769020811286, -0.08061048298863308, -0.05997499900448294, 0.007403492101661439, 0.07491875270750585, -0.04937471418623936, 0.1493224733737561, -0.23302302844734546, -0.06413560149804601, 0.4284101394268702, -0.11780318570376005, -0.1374800571433778, 0.16382801293764473, -0.10850657232738328, -0.11086192205196845, 0.14429936821590056, 0.17762697790310067, 0.07274088846906177, -0.1675547650435342, 0.12763351874913634, -0.04829880923805934, 0.19309305568348686, 0.01277222829642442, 0.060631089413292566, 0.32113263615459764, 0.164525906467494, 0.04823273070648594, 0.10198933560893221, -0.1263660944225091, -0.10615811369575139, -0.365008145570755, -0.2048108682633852, -0.12833073905467074, 0.027886711500303925, -0.07718219499972447, -0.10981637436263966, 0.43108494390013086, 0.11816867221287398, 0.17867262563053168, 0.03878751558796415, 0.31844738913032244, 0.08801236428882715, 0.015641797896263736, 0.046289186748974726, 0.3028506331216052, 0.14760096255637142, 0.11630803862375752, -0.2068009550489907, -0.09614904042122499, 0.010900752179605781] |
710.1563 | Influence of the isospin and hypercharge chemical potentials on the
location of the CEP in the mu_B-T phase diagram of the SU(3)_L x SU(3)_R
chiral quark model | We investigate the influence of the asymmetric quark matter (rho_u\ne
rho_d\ne rho_s) on the mass of the quasiparticles and the phase diagram of the
chiral quark model parametrized at one-loop level of the renormalized theory,
using the optimized perturbation theory for the resummation of the perturbative
series. The effect of various chemical potentials introduced in the grand
canonical ensemble is investigated with the method of relativistic many-body
theory. The temperature dependence of the topological susceptibility is
estimated with the help of the Witten-Veneziano mass formula.
| hep-ph | we investigate the influence of the asymmetric quark matter rho_une rho_dne rho_s on the mass of the quasiparticles and the phase diagram of the chiral quark model parametrized at oneloop level of the renormalized theory using the optimized perturbation theory for the resummation of the perturbative series the effect of various chemical potentials introduced in the grand canonical ensemble is investigated with the method of relativistic manybody theory the temperature dependence of the topological susceptibility is estimated with the help of the wittenveneziano mass formula | [['we', 'investigate', 'the', 'influence', 'of', 'the', 'asymmetric', 'quark', 'matter', 'rho_une', 'rho_dne', 'rho_s', 'on', 'the', 'mass', 'of', 'the', 'quasiparticles', 'and', 'the', 'phase', 'diagram', 'of', 'the', 'chiral', 'quark', 'model', 'parametrized', 'at', 'oneloop', 'level', 'of', 'the', 'renormalized', 'theory', 'using', 'the', 'optimized', 'perturbation', 'theory', 'for', 'the', 'resummation', 'of', 'the', 'perturbative', 'series', 'the', 'effect', 'of', 'various', 'chemical', 'potentials', 'introduced', 'in', 'the', 'grand', 'canonical', 'ensemble', 'is', 'investigated', 'with', 'the', 'method', 'of', 'relativistic', 'manybody', 'theory', 'the', 'temperature', 'dependence', 'of', 'the', 'topological', 'susceptibility', 'is', 'estimated', 'with', 'the', 'help', 'of', 'the', 'wittenveneziano', 'mass', 'formula']] | [-0.12379991902173104, 0.2065719025131001, -0.15065052356368985, 0.10870278237600732, 0.011350989364177347, -0.05357470615845488, 0.07058573119953858, 0.2775116579450039, -0.2064742785485753, -0.28111979935363113, -0.020060224920028753, -0.2849484427372016, -0.10014962553080306, 0.1038921861151929, 0.07236610464078475, 0.09486631166010377, -0.05311197608271726, 0.08193867306887026, -0.15988709095371775, -0.22280502974627966, 0.3676156281179423, 0.05094614442078823, 0.25691092243216124, 0.1340786185654172, 0.07109162366264556, 0.02806460578275104, -0.018361502203596645, 0.003954846200151706, -0.1447475791841476, 0.07876098756285677, 0.1597101721163637, -0.004221263010593423, 0.17696084612868276, -0.39115012814122513, -0.21224561560596059, 0.05720669885042561, 0.08006935183194477, 0.12426381623260228, -0.04065409156981945, -0.27674848301313726, 0.04514393624719878, -0.24308421965464053, -0.2018780332515914, -0.10228562076766808, -0.049134202604462586, -0.022993034554129266, -0.25625702402139283, 0.13804796149572693, -0.018774864645338202, 0.04956194834716349, -0.046562165571713304, -0.13453621842550584, -0.07569886140906847, 0.07575682207313647, 0.07320341192247592, 0.04128338237389843, 0.16965231304449668, -0.1891713252807238, -0.07740334699670952, 0.40119537548442563, -0.09598200817603662, -0.14196469298990286, 0.09414380922330072, -0.18725009231143688, -0.11784105400655823, 0.09183059249589422, 0.12506137350686344, 0.13597249372649084, -0.14869149304724422, 0.16370770869796242, 0.0009136439177645258, 0.11590482668070325, 0.035225953110100995, 0.02478935182408755, 0.24334106145493956, 0.17817523318738396, -0.04769888451513666, 0.11746360487809562, -0.07766784557298455, -0.15742033603881678, -0.33677019080124704, -0.10033964279320944, -0.18428436945001764, 0.0026515776471021666, -0.14605116894092068, -0.21224854709804955, 0.4443400413336524, 0.16023665298539472, 0.17829746109467134, 0.028028054353612733, 0.2730647923946605, 0.1993602817339531, 0.060896572432514416, 0.010005458286144289, 0.25573139133335776, 0.23445075734641896, 0.0787016263930127, -0.37269581250105815, -0.023094051837337662, 0.1546481006991971] |
710.1564 | A synchrotron self-Compton model with low energy electron cut-off for
the blazar S5 0716+714 | Rapid inverse Compton cooling sets in when the brightness temperature (T_B)
of a self-absorbed synchrotron source with power-law electrons reaches ~10^{12}
K. However, T_B inferred from observations of intra-day variable sources (IDV)
are well above the "Compton catastrophe" limit. This can be understood if the
underlying electron distribution cuts off at low energy. We approximate a
low-energy cut-off with monoenergetic electrons. We compute the synchrotron
self-Compton (SSC) spectrum of such distribution, and using the IDV source
S5~0716+714 as an example, we compare it to the observed SED of S5~0716+714.
The hard radio spectrum is well-fitted by this model, and the optical data can
be accommodated by a power-law extension to the electron spectrum. We therefore
examine the scenario of an injection of electrons that is a double power law in
energy with a hard low-energy component that does not contribute to the
synchrotron opacity. We show that the double power-law injection model is in
good agreement with the observed SED of S5~0716+714. For intrinsic variability,
we find that a Doppler factor of D\geq30 can explain the observed SED provided
that low-frequency (<32 GHz) emission originates from a larger region than the
higher-frequency emission. To fit the entire spectrum, D\geq65 is needed. We
find the constraint imposed by induced Compton scattering at high T_B is
insignificant in our model. We confirm that electron distribution with a
low-energy cut-off can explain the high T_B in compact radio sources. We show
that synchrotron spectrum from such distributions naturally accounts for the
observed hard radio continuum with a softer optical component, without the need
for an inhomogeneous source.
| astro-ph | rapid inverse compton cooling sets in when the brightness temperature t_b of a selfabsorbed synchrotron source with powerlaw electrons reaches 1012 k however t_b inferred from observations of intraday variable sources idv are well above the compton catastrophe limit this can be understood if the underlying electron distribution cuts off at low energy we approximate a lowenergy cutoff with monoenergetic electrons we compute the synchrotron selfcompton ssc spectrum of such distribution and using the idv source s50716714 as an example we compare it to the observed sed of s50716714 the hard radio spectrum is wellfitted by this model and the optical data can be accommodated by a powerlaw extension to the electron spectrum we therefore examine the scenario of an injection of electrons that is a double power law in energy with a hard lowenergy component that does not contribute to the synchrotron opacity we show that the double powerlaw injection model is in good agreement with the observed sed of s50716714 for intrinsic variability we find that a doppler factor of dgeq30 can explain the observed sed provided that lowfrequency 32 ghz emission originates from a larger region than the higherfrequency emission to fit the entire spectrum dgeq65 is needed we find the constraint imposed by induced compton scattering at high t_b is insignificant in our model we confirm that electron distribution with a lowenergy cutoff can explain the high t_b in compact radio sources we show that synchrotron spectrum from such distributions naturally accounts for the observed hard radio continuum with a softer optical component without the need for an inhomogeneous source | [['rapid', 'inverse', 'compton', 'cooling', 'sets', 'in', 'when', 'the', 'brightness', 'temperature', 't_b', 'of', 'a', 'selfabsorbed', 'synchrotron', 'source', 'with', 'powerlaw', 'electrons', 'reaches', '1012', 'k', 'however', 't_b', 'inferred', 'from', 'observations', 'of', 'intraday', 'variable', 'sources', 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710.1565 | Ballistic Transport at Uniform Temperature | A paradigm for isothermal, mechanical rectification of stochastic
fluctuations is introduced in this paper. The central idea is to transform
energy injected by random perturbations into rigid-body rotational kinetic
energy. The prototype considered in this paper is a mechanical system
consisting of a set of rigid bodies in interaction through magnetic fields. The
system is stochastically forced by white noise and dissipative through
mechanical friction. The Gibbs-Boltzmann distribution at a specific temperature
defines the unique invariant measure under the flow of this stochastic process
and allows us to define ``the temperature'' of the system. This measure is also
ergodic and weakly mixing. Although the system does not exhibit global directed
motion, it is shown that global ballistic motion is possible (the mean-squared
displacement grows like t squared). More precisely, although work cannot be
extracted from thermal energy by the second law of thermodynamics, it is shown
that ballistic transport from thermal energy is possible. In particular, the
dynamics is characterized by a meta-stable state in which the system exhibits
directed motion over random time scales. This phenomenon is caused by
interaction of three attributes of the system: a non flat (yet bounded)
potential energy landscape, a rigid body effect (coupling translational
momentum and angular momentum through friction) and the degeneracy of the
noise/friction tensor on the momentums (the fact that noise is not applied to
all degrees of freedom).
| math.PR math.DS | a paradigm for isothermal mechanical rectification of stochastic fluctuations is introduced in this paper the central idea is to transform energy injected by random perturbations into rigidbody rotational kinetic energy the prototype considered in this paper is a mechanical system consisting of a set of rigid bodies in interaction through magnetic fields the system is stochastically forced by white noise and dissipative through mechanical friction the gibbsboltzmann distribution at a specific temperature defines the unique invariant measure under the flow of this stochastic process and allows us to define the temperature of the system this measure is also ergodic and weakly mixing although the system does not exhibit global directed motion it is shown that global ballistic motion is possible the meansquared displacement grows like t squared more precisely although work cannot be extracted from thermal energy by the second law of thermodynamics it is shown that ballistic transport from thermal energy is possible in particular the dynamics is characterized by a metastable state in which the system exhibits directed motion over random time scales this phenomenon is caused by interaction of three attributes of the system a non flat yet bounded potential energy landscape a rigid body effect coupling translational momentum and angular momentum through friction and the degeneracy of the noisefriction tensor on the momentums the fact that noise is not applied to all degrees of freedom | [['a', 'paradigm', 'for', 'isothermal', 'mechanical', 'rectification', 'of', 'stochastic', 'fluctuations', 'is', 'introduced', 'in', 'this', 'paper', 'the', 'central', 'idea', 'is', 'to', 'transform', 'energy', 'injected', 'by', 'random', 'perturbations', 'into', 'rigidbody', 'rotational', 'kinetic', 'energy', 'the', 'prototype', 'considered', 'in', 'this', 'paper', 'is', 'a', 'mechanical', 'system', 'consisting', 'of', 'a', 'set', 'of', 'rigid', 'bodies', 'in', 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710.1566 | High-frequency X-ray variability as a mass estimator of stellar and
supermassive black holes | There is increasing evidence that supermassive black holes in active galactic
nuclei (AGN) are scaled-up versions of Galactic black holes. We show that the
amplitude of high-frequency X-ray variability in the hard spectral state is
inversely proportional to the black hole mass over eight orders of magnitude.
We have analyzed all available hard-state data from RXTE of seven Galactic
black holes. Their power density spectra change dramatically from observation
to observation, except for the high-frequency (>10 Hz) tail, which seems to
have a universal shape, roughly represented by a power law of index -2. The
amplitude of the tail, C_M (extrapolated to 1 Hz), remains approximately
constant for a given source, regardless of the luminosity, unlike the break or
QPO frequencies, which are usually strongly correlated with luminosity.
Comparison with a moderate-luminosity sample of AGN shows that the amplitude of
the tail is a simple function of black hole mass, C_M = C/M, where C = 1.25
M_Sol / Hz. This makes C_M a robust estimator of the black hole mass which is
easy to apply to low- to moderate-luminosity supermassive black holes. The
high-frequency tail with its universal shape is an invariant feature of a black
hole and, possibly, an imprint of the last stable orbit.
| astro-ph | there is increasing evidence that supermassive black holes in active galactic nuclei agn are scaledup versions of galactic black holes we show that the amplitude of highfrequency xray variability in the hard spectral state is inversely proportional to the black hole mass over eight orders of magnitude we have analyzed all available hardstate data from rxte of seven galactic black holes their power density spectra change dramatically from observation to observation except for the highfrequency 10 hz tail which seems to have a universal shape roughly represented by a power law of index 2 the amplitude of the tail c_m extrapolated to 1 hz remains approximately constant for a given source regardless of the luminosity unlike the break or qpo frequencies which are usually strongly correlated with luminosity comparison with a moderateluminosity sample of agn shows that the amplitude of the tail is a simple function of black hole mass c_m cm where c 125 m_sol hz this makes c_m a robust estimator of the black hole mass which is easy to apply to low to moderateluminosity supermassive black holes the highfrequency tail with its universal shape is an invariant feature of a black hole and possibly an imprint of the last stable orbit | [['there', 'is', 'increasing', 'evidence', 'that', 'supermassive', 'black', 'holes', 'in', 'active', 'galactic', 'nuclei', 'agn', 'are', 'scaledup', 'versions', 'of', 'galactic', 'black', 'holes', 'we', 'show', 'that', 'the', 'amplitude', 'of', 'highfrequency', 'xray', 'variability', 'in', 'the', 'hard', 'spectral', 'state', 'is', 'inversely', 'proportional', 'to', 'the', 'black', 'hole', 'mass', 'over', 'eight', 'orders', 'of', 'magnitude', 'we', 'have', 'analyzed', 'all', 'available', 'hardstate', 'data', 'from', 'rxte', 'of', 'seven', 'galactic', 'black', 'holes', 'their', 'power', 'density', 'spectra', 'change', 'dramatically', 'from', 'observation', 'to', 'observation', 'except', 'for', 'the', 'highfrequency', '10', 'hz', 'tail', 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710.1567 | Implication of the overlap representation for modelling generalized
parton distributions | Based on a field theoretically inspired model of light-cone wave functions,
we derive valence-like generalized parton distributions and their double
distributions from the wave function overlap in the parton number conserved
s-channel. The parton number changing contributions in the t-channel are
restored from duality. In our construction constraints of positivity and
polynomiality are simultaneously satisfied and it also implies a model
dependent relation between generalized parton distributions and transverse
momentum dependent parton distribution functions. The model predicts that the
t-behavior of resulting hadronic amplitudes depends on the Bjorken variable
x_Bj. We also propose an improved ansatz for double distributions that embeds
this property.
| hep-ph | based on a field theoretically inspired model of lightcone wave functions we derive valencelike generalized parton distributions and their double distributions from the wave function overlap in the parton number conserved schannel the parton number changing contributions in the tchannel are restored from duality in our construction constraints of positivity and polynomiality are simultaneously satisfied and it also implies a model dependent relation between generalized parton distributions and transverse momentum dependent parton distribution functions the model predicts that the tbehavior of resulting hadronic amplitudes depends on the bjorken variable x_bj we also propose an improved ansatz for double distributions that embeds this property | [['based', 'on', 'a', 'field', 'theoretically', 'inspired', 'model', 'of', 'lightcone', 'wave', 'functions', 'we', 'derive', 'valencelike', 'generalized', 'parton', 'distributions', 'and', 'their', 'double', 'distributions', 'from', 'the', 'wave', 'function', 'overlap', 'in', 'the', 'parton', 'number', 'conserved', 'schannel', 'the', 'parton', 'number', 'changing', 'contributions', 'in', 'the', 'tchannel', 'are', 'restored', 'from', 'duality', 'in', 'our', 'construction', 'constraints', 'of', 'positivity', 'and', 'polynomiality', 'are', 'simultaneously', 'satisfied', 'and', 'it', 'also', 'implies', 'a', 'model', 'dependent', 'relation', 'between', 'generalized', 'parton', 'distributions', 'and', 'transverse', 'momentum', 'dependent', 'parton', 'distribution', 'functions', 'the', 'model', 'predicts', 'that', 'the', 'tbehavior', 'of', 'resulting', 'hadronic', 'amplitudes', 'depends', 'on', 'the', 'bjorken', 'variable', 'x_bj', 'we', 'also', 'propose', 'an', 'improved', 'ansatz', 'for', 'double', 'distributions', 'that', 'embeds', 'this', 'property']] | [-0.08654948772820324, 0.2295632397896649, -0.18715663199477336, 0.1856442593327979, -0.09147111981121056, -0.05803694016318403, 0.045110833885915136, 0.36370635877692087, -0.23002982237969763, -0.21899497222301423, -0.06902594499714564, -0.252095552325687, -0.08901187128560874, 0.1111329294805068, 0.031048683851372962, 0.09616515443970759, 0.035674405323031046, -0.059255220507289846, -0.13155311571123698, -0.19183201744568115, 0.39587521630649763, 0.017742510435317514, 0.3114198971649303, 0.12979497197631965, 0.1542550220745433, 0.14364907379243888, -0.08845603077069801, -0.05028133910587605, -0.11824216732516195, 0.061443243353791976, 0.16278793318676488, 0.11697685166362527, 0.10038732467949682, -0.38225474696396394, -0.13686565367029022, 0.06523674272238185, 0.16539397232083822, 0.06277069310639419, 0.012853129633346243, -0.22046430105818252, 0.019937350916877098, -0.2668686328620157, -0.1711679068211393, -0.10698256922849253, -0.044847237159653254, 0.07909821804758965, -0.338436258153296, 0.13338780519495463, 0.0025385568858873027, -0.03696778349067066, -0.01623817946871414, -0.19597625048538925, -0.08398036791386046, 0.014712233017609619, 0.09519090416370983, 0.09646265995323512, 0.11055705489992511, -0.19201372910574005, -0.1239288599816991, 0.32298767182053817, -0.010659067555988097, -0.30330586113839175, 0.055227072688056995, -0.19028873952315645, -0.18857527547059397, 0.11885004010343668, 0.18595158638359577, 0.12196850373356045, -0.1725382111491818, 0.12402060399443715, -0.06571202513769808, 0.13025370761569516, 0.1041286000342784, 0.08338216731470882, 0.17644437924757891, 0.115574228944823, -0.024153559450425355, 0.11714848420153573, -0.07839378051222394, -0.15751335908677064, -0.41877840968835, -0.06203937231061989, -0.16734113710859388, 0.048914267782831804, -0.13159657504772493, -0.16870783155272698, 0.3861542385181083, 0.10333424765735354, 0.2326457431521632, 0.102248525272087, 0.2692665526387738, 0.17498736783483193, 0.06504078163062314, 0.07739695189885941, 0.1917130840010941, 0.2076040062911845, 0.08429779632391657, -0.215531827639971, 0.07507840233744241, 0.09278960546305147] |
710.1568 | On String S-matrix, Bound States and TBA | The study of finite J effects for the light-cone AdS superstring by means of
the Thermodynamic Bethe Ansatz requires an understanding of a companion 2d
theory which we call the mirror model. It is obtained from the original string
model by the double Wick rotation. The S-matrices describing the scattering of
physical excitations in the string and mirror models are related to each other
by an analytic continuation. We show that the unitarity requirement for the
mirror S-matrix fixes the S-matrices of both theories essentially uniquely. The
resulting string S-matrix S(z_1,z_2) satisfies the generalized unitarity
condition and, up to a scalar factor, is a meromorphic function on the elliptic
curve associated to each variable z. The double Wick rotation is then
accomplished by shifting the variables z by quarter of the imaginary period of
the torus. We discuss the apparent bound states of the string and mirror
models, and show that depending on a choice of the physical region there are
one, two or 2^{M-1} solutions of the M-particle bound state equations sharing
the same conserved charges. For very large but finite values of J, most of
these solutions, however, exhibit various signs of pathological behavior. In
particular, they might receive a finite J correction to their energy which is
complex, or the energy correction might exceed corrections arising due to
finite J modifications of the Bethe equations thus making the asymptotic Bethe
ansatz inapplicable.
| hep-th | the study of finite j effects for the lightcone ads superstring by means of the thermodynamic bethe ansatz requires an understanding of a companion 2d theory which we call the mirror model it is obtained from the original string model by the double wick rotation the smatrices describing the scattering of physical excitations in the string and mirror models are related to each other by an analytic continuation we show that the unitarity requirement for the mirror smatrix fixes the smatrices of both theories essentially uniquely the resulting string smatrix sz_1z_2 satisfies the generalized unitarity condition and up to a scalar factor is a meromorphic function on the elliptic curve associated to each variable z the double wick rotation is then accomplished by shifting the variables z by quarter of the imaginary period of the torus we discuss the apparent bound states of the string and mirror models and show that depending on a choice of the physical region there are one two or 2m1 solutions of the mparticle bound state equations sharing the same conserved charges for very large but finite values of j most of these solutions however exhibit various signs of pathological behavior in particular they might receive a finite j correction to their energy which is complex or the energy correction might exceed corrections arising due to finite j modifications of the bethe equations thus making the asymptotic bethe ansatz inapplicable | [['the', 'study', 'of', 'finite', 'j', 'effects', 'for', 'the', 'lightcone', 'ads', 'superstring', 'by', 'means', 'of', 'the', 'thermodynamic', 'bethe', 'ansatz', 'requires', 'an', 'understanding', 'of', 'a', 'companion', '2d', 'theory', 'which', 'we', 'call', 'the', 'mirror', 'model', 'it', 'is', 'obtained', 'from', 'the', 'original', 'string', 'model', 'by', 'the', 'double', 'wick', 'rotation', 'the', 'smatrices', 'describing', 'the', 'scattering', 'of', 'physical', 'excitations', 'in', 'the', 'string', 'and', 'mirror', 'models', 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710.1569 | Intrinsic parton motion soft mechanisms and the longitudinal spin
asymmetry A_LL in high energy pp -> pi X | The longitudinal double spin asymmetry A_LL in the reaction pp --> pi X has
been measured at RHIC with extremely interesting consequences. If the gluon
polarization in a proton were as big as needed to resolve the famous "spin
crisis" then A_LL would be large and positive. Latest RHIC results indicate
that A_LL is small and disfavour large positive values of the gluon
polarization. We examine whether the soft mechanisms (Collins, Sivers,
Boer-Mulders), essential for generating transverse single spin asymmetries,
have any significant influence on A_LL, and whether they could alter the
conclusion that the gluon polarization is necessarily small. It turns out that
the contribution from these effects is essentially negligible.
| hep-ph | the longitudinal double spin asymmetry a_ll in the reaction pp pi x has been measured at rhic with extremely interesting consequences if the gluon polarization in a proton were as big as needed to resolve the famous spin crisis then a_ll would be large and positive latest rhic results indicate that a_ll is small and disfavour large positive values of the gluon polarization we examine whether the soft mechanisms collins sivers boermulders essential for generating transverse single spin asymmetries have any significant influence on a_ll and whether they could alter the conclusion that the gluon polarization is necessarily small it turns out that the contribution from these effects is essentially negligible | [['the', 'longitudinal', 'double', 'spin', 'asymmetry', 'a_ll', 'in', 'the', 'reaction', 'pp', 'pi', 'x', 'has', 'been', 'measured', 'at', 'rhic', 'with', 'extremely', 'interesting', 'consequences', 'if', 'the', 'gluon', 'polarization', 'in', 'a', 'proton', 'were', 'as', 'big', 'as', 'needed', 'to', 'resolve', 'the', 'famous', 'spin', 'crisis', 'then', 'a_ll', 'would', 'be', 'large', 'and', 'positive', 'latest', 'rhic', 'results', 'indicate', 'that', 'a_ll', 'is', 'small', 'and', 'disfavour', 'large', 'positive', 'values', 'of', 'the', 'gluon', 'polarization', 'we', 'examine', 'whether', 'the', 'soft', 'mechanisms', 'collins', 'sivers', 'boermulders', 'essential', 'for', 'generating', 'transverse', 'single', 'spin', 'asymmetries', 'have', 'any', 'significant', 'influence', 'on', 'a_ll', 'and', 'whether', 'they', 'could', 'alter', 'the', 'conclusion', 'that', 'the', 'gluon', 'polarization', 'is', 'necessarily', 'small', 'it', 'turns', 'out', 'that', 'the', 'contribution', 'from', 'these', 'effects', 'is', 'essentially', 'negligible']] | [-0.07396246592864511, 0.2610125201838175, -0.16765696198185528, 0.15166288056633193, -0.09402122605289961, -0.12864195979735185, -0.03417957594265809, 0.37138687624377914, -0.23160247484574448, -0.214939150464226, -0.0016716374105329181, -0.3120209773884969, -0.019861347939785536, 0.18035182285516918, 0.0447336681913962, 0.03975525884671443, 0.09943652569068814, -0.033108962817235035, -0.018199683933703414, -0.2212785088020872, 0.3130399170163851, 0.08026741991482407, 0.2672489615291491, 0.22789175613355395, 0.06144010041513153, 0.056358579525237415, -0.07347918945356263, 0.014385150997219858, -0.08411236775210201, -0.021795637700035498, 0.27004990021085684, 0.05587562308741129, 0.13206163693538253, -0.37624481655992903, -0.09841612646742179, 0.15461649255080334, 0.10608381189422698, 0.13569384652005323, -0.0537892767995898, -0.20344541015455853, 0.10337879303591074, -0.2097993408128418, -0.13712539546493743, -0.10369743687008415, 0.07269849043826128, -0.01326696461418996, -0.3068382465825962, 0.10481967078102333, 0.01892476796113827, 0.0035440108260592898, 0.005252481908075981, -0.26216614130162846, -0.11461622812491548, 0.06625292141846306, 0.1417234438987499, 0.1501423739694449, 0.1530746546456473, -0.1499999417642316, -0.19114905171650085, 0.3329622404028972, -0.0059153387461461735, -0.177038157627255, 0.1093604778808013, -0.30018530543243327, -0.16704292545044744, 0.12947884004621826, 0.19981163927156748, 0.0707232758134335, -0.13961768120229412, 0.06563116249110264, -0.06072544017575916, 0.1919531747530978, 0.10867260649657666, 0.04545154251464483, 0.27689271044355257, 0.1323246002220339, -0.016393320590912086, 0.06673713210919821, -0.14075572965540797, -0.060579849058879656, -0.3430213281666642, -0.0683243799103038, -0.10622334280177145, 0.16217026716047847, -0.055014634464667096, -0.07500040288259452, 0.35006702203630796, 0.10738530413223785, 0.2329474208102486, -0.06236218497826223, 0.319500404519138, 0.07985894833974591, 0.10808316141215933, 0.03367353363196221, 0.2893763891345746, 0.17541075713705975, 0.17921446990179787, -0.2857259562100611, 0.18489454910243014, -0.04948078693301828] |
710.157 | DrosOCB: a high resolution map of conserved non coding sequences in
Drosophila | Comparative genomics methods are widely used to aid the functional annotation
of non coding DNA regions. However, aligning non coding sequences requires new
algorithms and strategies, in order to take into account extensive
rearrangements and turnover during evolution. Here we present a novel large
scale alignment strategy which aims at drawing a precise map of conserved non
coding regions between genomes, even when these regions have undergone small
scale rearrangments events and a certain degree of sequence variability. We
applied our alignment approach to obtain a genome-wide catalogue of conserved
non coding blocks (CNBs) between Drosophila melanogaster and 11 other
Drosophila species. Interestingly, we observe numerous small scale
rearrangement events, such as local inversions, duplications and
translocations, which are not observable in the whole genome alignments
currently available. The high rate of observed low scale reshuffling show that
this database of CNBs can constitute the starting point for several
investigations, related to the evolution of regulatory DNA in Drosophila and
the in silico identification of unannotated functional elements.
| q-bio.GN | comparative genomics methods are widely used to aid the functional annotation of non coding dna regions however aligning non coding sequences requires new algorithms and strategies in order to take into account extensive rearrangements and turnover during evolution here we present a novel large scale alignment strategy which aims at drawing a precise map of conserved non coding regions between genomes even when these regions have undergone small scale rearrangments events and a certain degree of sequence variability we applied our alignment approach to obtain a genomewide catalogue of conserved non coding blocks cnbs between drosophila melanogaster and 11 other drosophila species interestingly we observe numerous small scale rearrangement events such as local inversions duplications and translocations which are not observable in the whole genome alignments currently available the high rate of observed low scale reshuffling show that this database of cnbs can constitute the starting point for several investigations related to the evolution of regulatory dna in drosophila and the in silico identification of unannotated functional elements | [['comparative', 'genomics', 'methods', 'are', 'widely', 'used', 'to', 'aid', 'the', 'functional', 'annotation', 'of', 'non', 'coding', 'dna', 'regions', 'however', 'aligning', 'non', 'coding', 'sequences', 'requires', 'new', 'algorithms', 'and', 'strategies', 'in', 'order', 'to', 'take', 'into', 'account', 'extensive', 'rearrangements', 'and', 'turnover', 'during', 'evolution', 'here', 'we', 'present', 'a', 'novel', 'large', 'scale', 'alignment', 'strategy', 'which', 'aims', 'at', 'drawing', 'a', 'precise', 'map', 'of', 'conserved', 'non', 'coding', 'regions', 'between', 'genomes', 'even', 'when', 'these', 'regions', 'have', 'undergone', 'small', 'scale', 'rearrangments', 'events', 'and', 'a', 'certain', 'degree', 'of', 'sequence', 'variability', 'we', 'applied', 'our', 'alignment', 'approach', 'to', 'obtain', 'a', 'genomewide', 'catalogue', 'of', 'conserved', 'non', 'coding', 'blocks', 'cnbs', 'between', 'drosophila', 'melanogaster', 'and', '11', 'other', 'drosophila', 'species', 'interestingly', 'we', 'observe', 'numerous', 'small', 'scale', 'rearrangement', 'events', 'such', 'as', 'local', 'inversions', 'duplications', 'and', 'translocations', 'which', 'are', 'not', 'observable', 'in', 'the', 'whole', 'genome', 'alignments', 'currently', 'available', 'the', 'high', 'rate', 'of', 'observed', 'low', 'scale', 'reshuffling', 'show', 'that', 'this', 'database', 'of', 'cnbs', 'can', 'constitute', 'the', 'starting', 'point', 'for', 'several', 'investigations', 'related', 'to', 'the', 'evolution', 'of', 'regulatory', 'dna', 'in', 'drosophila', 'and', 'the', 'in', 'silico', 'identification', 'of', 'unannotated', 'functional', 'elements']] | [-0.12104675674205925, 0.1171466588338246, -0.04833541643487925, 0.10224375311002236, -0.022079270510114508, -0.11071931352437346, 0.06206934144065163, 0.4048219010635407, -0.28072401277531317, -0.31214429404095795, 0.07595745609058234, -0.24962366222749705, -0.18564754491393082, 0.14040714791769573, -0.06525564830594077, 0.03074245826093045, 0.12369096371161188, -0.009421216392984424, 0.01736170710287542, -0.2099217959849755, 0.24682670045772312, 0.06534382352510656, 0.298069712768649, -0.023014852080025714, 0.08464088086680158, -0.05543329486655473, -0.09090509847249881, 0.0183619634153511, -0.13525190015211402, 0.14945441448570365, 0.32783959775693955, 0.1884088149129742, 0.2787988222731155, -0.4480371359389967, -0.20505055345171047, 0.11971351208477587, 0.18153789677952756, 0.1776811211435459, -0.06908664811809664, -0.2321262300728324, 0.08770586995402362, -0.1234527496443427, -0.04020761396501682, -0.0954039087128675, 0.03859316187068641, 0.0326379218806574, -0.27663511955486, 0.12499437879625998, -0.00045130196624173374, 0.1396233693049652, -0.058502520582343114, -0.1132132402331217, -0.03309834906190054, 0.21588342503207444, 0.07990863734945476, 0.042827696308025166, 0.18210749751274768, -0.08945372056433495, -0.12938357102803183, 0.3401691581563143, -0.01748233196579344, -0.15399936638203657, 0.22024304619962407, -0.15140305260408246, -0.2398159132300023, 0.15385880798636797, 0.16860798838782587, 0.11451713197089419, -0.19572145766120272, 0.01449622617128952, 0.0266440233360686, 0.21810986717391206, 0.11937425668876964, 0.03049366341201131, 0.20783657741783088, 0.18598865821377603, 0.030161002391536615, 0.11457135818353548, -0.13400169140742924, -0.10907533659437994, -0.2556468480305668, -0.11811264134765029, -0.12912650696074446, 0.010959988519982268, -0.1015303565803037, -0.2029731231825259, 0.36533734997076367, 0.11590242440272736, 0.1916457330062149, 0.0622497589556043, 0.2325992347640515, -0.038930539613377724, 0.1600837064188944, 0.018461430450890236, 0.13901879076433263, 0.06095762017272234, 0.06608695372964206, -0.21655269834341226, 0.11717391435564412, 0.016969406829511157] |
710.1571 | Geometry of sets of quantum maps: a generic positive map acting on a
high-dimensional system is not completely positive | We investigate the set a) of positive, trace preserving maps acting on
density matrices of size N, and a sequence of its nested subsets: the sets of
maps which are b) decomposable, c) completely positive, d) extended by identity
impose positive partial transpose and e) are superpositive. Working with the
Hilbert-Schmidt (Euclidean) measure we derive tight explicit two-sided bounds
for the volumes of all five sets. A sample consequence is the fact that, as N
increases, a generic positive map becomes not decomposable and, a fortiori, not
completely positive.
Due to the Jamiolkowski isomorphism, the results obtained for quantum maps
are closely connected to similar relations between the volume of the set of
quantum states and the volumes of its subsets (such as states with positive
partial transpose or separable states) or supersets. Our approach depends on
systematic use of duality to derive quantitative estimates, and on various
tools of classical convexity, high-dimensional probability and geometry of
Banach spaces, some of which are not standard.
| quant-ph math.FA | we investigate the set a of positive trace preserving maps acting on density matrices of size n and a sequence of its nested subsets the sets of maps which are b decomposable c completely positive d extended by identity impose positive partial transpose and e are superpositive working with the hilbertschmidt euclidean measure we derive tight explicit twosided bounds for the volumes of all five sets a sample consequence is the fact that as n increases a generic positive map becomes not decomposable and a fortiori not completely positive due to the jamiolkowski isomorphism the results obtained for quantum maps are closely connected to similar relations between the volume of the set of quantum states and the volumes of its subsets such as states with positive partial transpose or separable states or supersets our approach depends on systematic use of duality to derive quantitative estimates and on various tools of classical convexity highdimensional probability and geometry of banach spaces some of which are not standard | [['we', 'investigate', 'the', 'set', 'a', 'of', 'positive', 'trace', 'preserving', 'maps', 'acting', 'on', 'density', 'matrices', 'of', 'size', 'n', 'and', 'a', 'sequence', 'of', 'its', 'nested', 'subsets', 'the', 'sets', 'of', 'maps', 'which', 'are', 'b', 'decomposable', 'c', 'completely', 'positive', 'd', 'extended', 'by', 'identity', 'impose', 'positive', 'partial', 'transpose', 'and', 'e', 'are', 'superpositive', 'working', 'with', 'the', 'hilbertschmidt', 'euclidean', 'measure', 'we', 'derive', 'tight', 'explicit', 'twosided', 'bounds', 'for', 'the', 'volumes', 'of', 'all', 'five', 'sets', 'a', 'sample', 'consequence', 'is', 'the', 'fact', 'that', 'as', 'n', 'increases', 'a', 'generic', 'positive', 'map', 'becomes', 'not', 'decomposable', 'and', 'a', 'fortiori', 'not', 'completely', 'positive', 'due', 'to', 'the', 'jamiolkowski', 'isomorphism', 'the', 'results', 'obtained', 'for', 'quantum', 'maps', 'are', 'closely', 'connected', 'to', 'similar', 'relations', 'between', 'the', 'volume', 'of', 'the', 'set', 'of', 'quantum', 'states', 'and', 'the', 'volumes', 'of', 'its', 'subsets', 'such', 'as', 'states', 'with', 'positive', 'partial', 'transpose', 'or', 'separable', 'states', 'or', 'supersets', 'our', 'approach', 'depends', 'on', 'systematic', 'use', 'of', 'duality', 'to', 'derive', 'quantitative', 'estimates', 'and', 'on', 'various', 'tools', 'of', 'classical', 'convexity', 'highdimensional', 'probability', 'and', 'geometry', 'of', 'banach', 'spaces', 'some', 'of', 'which', 'are', 'not', 'standard']] | [-0.11677076780152591, 0.11353191218875122, -0.03133475412817489, 0.08938504762340789, -0.0446061814852962, -0.14447113498480935, 0.062267563196435345, 0.3284249877218496, -0.2957257979097917, -0.22639301531863484, 0.14171682559447646, -0.30760606958700176, -0.12590218991266958, 0.1847428811206059, -0.06650938824327154, 0.056779804981003205, 0.03645338524894958, 0.06703260242938995, -0.1144124607597901, -0.2617165856761858, 0.40269843350503254, -0.03271528938644086, 0.22920168756479115, 0.05815081793927785, 0.12382271171293475, -0.014849508779518532, -0.06929866634591511, 0.055348228559490634, -0.1318344161156512, 0.1442615563617878, 0.22861693093666072, 0.18424714396453717, 0.24076172905042767, -0.37448920938869845, -0.13607452756753474, 0.1883028940608104, 0.06905168436615812, 0.043709869737821545, -0.011614833953508147, -0.2966367743302588, 0.09087966882031072, -0.11013509559967188, -0.10397195510661483, -0.11821079620867474, 0.049070158631851275, 0.01294762125859658, -0.2943765173158185, 0.04247339804177031, 0.09809897142752588, 0.05797292482898091, -0.04802654755414661, -0.13719447931613435, -0.04607542256161458, 0.15037496781512869, -0.04234911761190178, 0.02890143882003472, 0.10016161859825705, -0.044364700806468274, -0.09951150855049491, 0.3246705060909418, -0.04127340388456077, -0.2731414946078351, 0.2089695441395496, -0.17852523177615226, -0.11547934580400275, 0.09586819144191616, 0.13006765401611725, 0.11700910669328136, -0.0757445116710821, 0.14932843057057735, -0.11063931759527998, 0.13461011075555826, 0.0819604767486453, 0.07996403185763594, 0.14970252139098716, 0.034099198014221406, 0.14704686759434865, 0.1588609334289548, -0.00891167433001101, -0.07747971993398317, -0.33581802332491584, -0.1678190970814533, -0.18441993898189993, 0.09748418622563776, -0.12810434619314037, -0.23000523351965416, 0.3414979131440773, 0.02949577613246881, 0.24883630572532472, 0.12020195069190143, 0.23734958257356828, 0.09773294325780378, 0.046199797585282025, 0.06275139322617289, 0.13121834181506667, 0.2069675225979705, -0.014982924700686425, -0.17410968034104868, 0.05447753674604676, 0.11582536593531118] |
710.1572 | Vector Boson Pair Production via Vector Boson Fusion at NLO QCD | NLO QCD corrections to Vector Boson Pair Production via Vector Boson Fusion
have recently been calculated and implemented in a parton-level Monte-Carlo
program with full experimental cuts. We briefly sketch the elements of the
calculation and show numerical results for the Large Hadron Collider.
| hep-ph | nlo qcd corrections to vector boson pair production via vector boson fusion have recently been calculated and implemented in a partonlevel montecarlo program with full experimental cuts we briefly sketch the elements of the calculation and show numerical results for the large hadron collider | [['nlo', 'qcd', 'corrections', 'to', 'vector', 'boson', 'pair', 'production', 'via', 'vector', 'boson', 'fusion', 'have', 'recently', 'been', 'calculated', 'and', 'implemented', 'in', 'a', 'partonlevel', 'montecarlo', 'program', 'with', 'full', 'experimental', 'cuts', 'we', 'briefly', 'sketch', 'the', 'elements', 'of', 'the', 'calculation', 'and', 'show', 'numerical', 'results', 'for', 'the', 'large', 'hadron', 'collider']] | [-0.009806121535472234, 0.18453833760048094, -0.11658099253492599, 0.13028724431271918, -0.06707494319099086, -0.11161079692696645, 0.010273333723572168, 0.4038316102444448, -0.1891374570444565, -0.20461221849969166, 0.021474786692785776, -0.3218005793380805, 0.0026492226276208053, 0.160335505804555, 0.14710106643509457, 0.22406740800943226, 0.22308786340396514, -0.015164067767645147, -0.08149196762943492, -0.300010893705555, 0.2920243695420636, 0.08570228373123841, 0.2050124688645486, 0.1677420298907567, 0.12838759248420087, 0.10429154051764106, -0.12898014061846136, -0.015262132002548738, -0.11607473510296339, 0.07358657234263691, 0.2544595031279393, 0.08337943646950986, 0.12056921532546933, -0.36038468456403777, -0.10286292004060339, 0.07521158005957576, 0.13172296119261195, 0.1895674320985563, -0.14703001511621883, -0.3030307352627543, 0.19804055940105833, -0.32198989689773455, -0.07806460826065052, -0.18518681804099205, -0.019824770935387773, -0.04827222613279115, -0.3596640673720024, -0.052042585596526886, -0.12418475569310514, 0.04511443316534331, 0.05219123738722622, -0.24046163006939672, -0.09391523484902625, -0.045524547564458444, 0.08652003217403861, 0.08217993854883719, 0.15351614577230066, -0.17097475147933106, -0.29401900595456193, 0.38078082354464143, -0.06386807141825557, -0.17236877897415648, 0.12699685898736457, -0.19683309003118088, -0.1841369335835969, 0.14938965211199087, 0.28131636924808845, 0.07884678888049992, -0.18147539978169583, 0.18452369556921025, -0.012365512909706344, 0.10313553309110417, -0.00706638461402194, 0.03154991939134726, 0.17994511747648093, 0.18810406526211987, -0.12556791135681455, 0.10250348594060844, -0.08630154925313863, -0.13432621329345487, -0.4717405187812718, -0.1418601191888394, -0.0687618857270784, -0.04645191686259667, -0.04091090778224911, -0.11233232881535184, 0.32628691935149784, 0.14963054962837222, 0.2663286585699428, 0.02592475754632191, 0.3570459902455861, 0.14567993850108574, 0.12201708673555087, 0.05578719879155291, 0.312967334971869, 0.1928415421650491, 0.11345447109885175, -0.23568765918554907, -0.04385156778153032, 0.17169053710743107] |
710.1573 | Threshold Effects in Slepton-Pair Production at the LHC | We present a study of threshold resummation effects for slepton pair
production at the Large Hadron Collider (LHC). After confirming the known NLO
QCD corrections and generalizing the NLO SUSY-QCD corrections to the case of
mixing squarks in the virtual loop contributions, we employ the Mellin N-space
resummation formalism to compute logarithmically enhanced soft-gluon terms to
all perturbative orders.
| hep-ph | we present a study of threshold resummation effects for slepton pair production at the large hadron collider lhc after confirming the known nlo qcd corrections and generalizing the nlo susyqcd corrections to the case of mixing squarks in the virtual loop contributions we employ the mellin nspace resummation formalism to compute logarithmically enhanced softgluon terms to all perturbative orders | [['we', 'present', 'a', 'study', 'of', 'threshold', 'resummation', 'effects', 'for', 'slepton', 'pair', 'production', 'at', 'the', 'large', 'hadron', 'collider', 'lhc', 'after', 'confirming', 'the', 'known', 'nlo', 'qcd', 'corrections', 'and', 'generalizing', 'the', 'nlo', 'susyqcd', 'corrections', 'to', 'the', 'case', 'of', 'mixing', 'squarks', 'in', 'the', 'virtual', 'loop', 'contributions', 'we', 'employ', 'the', 'mellin', 'nspace', 'resummation', 'formalism', 'to', 'compute', 'logarithmically', 'enhanced', 'softgluon', 'terms', 'to', 'all', 'perturbative', 'orders']] | [-0.09976520178192375, 0.2131472181812939, -0.10213871327055207, 0.21907099754691628, -0.03533884086961842, -0.072493755961058, 0.022223366436280183, 0.2860809785897954, -0.16440139308382393, -0.17665245586027534, -0.03338215252487147, -0.38610261047290545, 0.021755050867795944, 0.09601532121709848, 0.07726228872306203, 0.15457932904196936, 0.1059414125718492, -0.0905666886355286, -0.09274186987934982, -0.3072265875841475, 0.34850217742940126, 0.05969591844448094, 0.11894672334004762, 0.2582820242239257, 0.05735961062896807, 0.07454401288986585, -0.10250341435558936, -0.09672354941524691, -0.12158068414714376, 0.038118359141477966, 0.3019252079144373, -0.052177588550089776, 0.09624902237901244, -0.31649930326867914, -0.044668241246145664, 0.09443306109386544, 0.18847272043132177, 0.16556980542570227, 0.02350263908442299, -0.2550179787351103, 0.11181533811377141, -0.34825596004977066, -0.17575644736446566, -0.15741992940715813, -0.07030245588334688, -0.1711515868911362, -0.3488706088786692, 0.023718630658241653, -0.07575301340607515, -0.042849027011069955, 0.1431984286636935, -0.19918317417219533, -0.052635746968562824, 0.025282055044830856, 0.14924028597898403, 0.043681130117057994, 0.18687328296887168, -0.24420629395961257, -0.2775943761028476, 0.4054516525465553, -0.07512861965381998, -0.10853615667181626, 0.07746662938241232, -0.2769742380922376, -0.20026026198924599, 0.1835939141574426, 0.26535762761230186, 0.17646530967539223, -0.14886288671612236, 0.22567488665799057, 0.10587551779413627, 0.11250770857194596, 0.1363547751995719, 0.09318735756244416, 0.10547407252429905, 0.13622385611505075, -0.0302403628415728, 0.12526763191888646, -0.037245992271198056, -0.13909974647685885, -0.5528603455020209, -0.04472138261442493, -0.004112672567825323, 0.04134422817299048, -0.13521614564968454, -0.15467379145892496, 0.34376684423157217, 0.1816367063339863, 0.2221045103673902, 0.1452703351091783, 0.39410889660150317, 0.1687284477560197, 0.15002145991370602, 0.055501207307531594, 0.3089993251369224, 0.14770952599533535, 0.10281251964427657, -0.3052322414814163, -0.020788284062044853, 0.22067668745136362] |
710.1574 | The X-ray view of the ionization cone in NGC5252 | We present the results of a Chandra soft X-ray observation of the spectacular
ionization cone in the nearby Seyfert 2 galaxy NGC 5252. As almost invariably
observed in obscured AGN, the soft X-ray emission exhibits a remarkable
morphological concidence with the cone ionized gas as traced by HST O[III]
images. Energy-resolved images and high-resolution spectroscopy suggest that
the X-ray emitting gas is photoionized by the AGN, at least on scales as large
as the innermost gas and stellar ring (<3 kpc). Assuming that the whole cone is
photoionized by the AGN, we reconstruct the history of the active nucles in the
last 100000 years.
| astro-ph | we present the results of a chandra soft xray observation of the spectacular ionization cone in the nearby seyfert 2 galaxy ngc 5252 as almost invariably observed in obscured agn the soft xray emission exhibits a remarkable morphological concidence with the cone ionized gas as traced by hst oiii images energyresolved images and highresolution spectroscopy suggest that the xray emitting gas is photoionized by the agn at least on scales as large as the innermost gas and stellar ring 3 kpc assuming that the whole cone is photoionized by the agn we reconstruct the history of the active nucles in the last 100000 years | [['we', 'present', 'the', 'results', 'of', 'a', 'chandra', 'soft', 'xray', 'observation', 'of', 'the', 'spectacular', 'ionization', 'cone', 'in', 'the', 'nearby', 'seyfert', '2', 'galaxy', 'ngc', '5252', 'as', 'almost', 'invariably', 'observed', 'in', 'obscured', 'agn', 'the', 'soft', 'xray', 'emission', 'exhibits', 'a', 'remarkable', 'morphological', 'concidence', 'with', 'the', 'cone', 'ionized', 'gas', 'as', 'traced', 'by', 'hst', 'oiii', 'images', 'energyresolved', 'images', 'and', 'highresolution', 'spectroscopy', 'suggest', 'that', 'the', 'xray', 'emitting', 'gas', 'is', 'photoionized', 'by', 'the', 'agn', 'at', 'least', 'on', 'scales', 'as', 'large', 'as', 'the', 'innermost', 'gas', 'and', 'stellar', 'ring', '3', 'kpc', 'assuming', 'that', 'the', 'whole', 'cone', 'is', 'photoionized', 'by', 'the', 'agn', 'we', 'reconstruct', 'the', 'history', 'of', 'the', 'active', 'nucles', 'in', 'the', 'last', '100000', 'years']] | [-0.0023987739336649504, 0.07563650240555551, -0.05642964508996217, 0.09242139685232484, -0.06757070566071015, -0.07256973439407553, 0.010296455061738836, 0.49915129172743533, -0.16655132284515775, -0.30468599702797683, 0.06228608634510059, -0.33732825939488764, -0.00996762585333165, 0.18718573126905397, -0.002327993863682244, -0.06091588182721799, -0.0027489053021532064, -0.16983029005282066, -0.041005401114257524, -0.2739262952670163, 0.3118511828326839, 0.08660529760698624, 0.0997327560942401, -0.006163535612251829, 0.1397582399841471, -0.06508734672074663, -0.09656696647916939, -0.010859398965669028, -0.07426222679093959, 0.04508372364730081, 0.2735980678824525, 0.12061350212281789, 0.23913908567663064, -0.34982310248739723, -0.23162182803977938, -0.021076820480326813, 0.23767993672221316, -0.04564340786058821, -0.07866259859349835, -0.2682392863475708, 0.01932666907326647, -0.1845719844157643, -0.19603518576032536, 0.09740291504924387, 0.02249441877254011, 0.004280545308218137, -0.1503022427615874, 0.1741942632053157, 0.0026137041939221614, 0.09750197072714276, -0.14676009274690466, -0.006149893644831928, -0.05172871357040005, 0.026524507089098003, 0.017496638588936013, 0.08588364484774716, 0.2650543038879393, -0.16715657838857642, -0.04259140094669134, 0.38770991887933776, -0.049010751787207874, 0.14983405349958762, 0.24321184559341738, -0.2943678673347641, -0.17864586174597635, 0.2456556897537381, 0.10281417403808411, 0.14017942749584714, -0.09886562430477294, 0.026613704893308894, -0.16053638606464637, 0.2739708011641222, 0.031659105055344604, 0.0866013518604507, 0.3079084932493667, 0.0881635758092207, 0.013876389701537989, 0.14029317524731524, -0.2968163957029544, 0.04502567101621489, -0.23878545456197267, -0.08219452001731935, -0.14755006687825217, 0.15074756565759434, -0.14330757900532654, -0.11082698111239747, 0.3488754737556127, 0.0396745503633557, 0.26036764173677157, -0.02670598486849271, 0.37505003512270896, 0.02788320175992946, 0.10957437114534425, 0.1272512775224944, 0.33161681382825564, 0.17290985676249965, 0.07920354296676997, -0.2690529254009472, 0.07854126524362787, 0.03508764087204255] |
710.1575 | Probing quantum and thermal noise in an interacting many-body system | The probabilistic character of the measurement process is one of the most
puzzling and fascinating aspects of quantum mechanics. In many-body systems
quantum mechanical noise reveals non-local correlations of the underlying
many-body states. Here, we provide a complete experimental analysis of the
shot-to-shot variations of interference fringe contrast for pairs of
independently created one-dimensional Bose condensates. Analyzing different
system sizes we observe the crossover from thermal to quantum noise, reflected
in a characteristic change in the distribution functions from Poissonian to
Gumbel-type, in excellent agreement with theoretical predictions based on the
Luttinger liquid formalism. We present the first experimental observation of
quasi long-range order in one-dimensional atomic condensates, which is a
hallmark of quantum fluctuations in one-dimensional systems. Furthermore, our
experiments constitute the first analysis of the full distribution of quantum
noise in an interacting many-body system.
| cond-mat.other quant-ph | the probabilistic character of the measurement process is one of the most puzzling and fascinating aspects of quantum mechanics in manybody systems quantum mechanical noise reveals nonlocal correlations of the underlying manybody states here we provide a complete experimental analysis of the shottoshot variations of interference fringe contrast for pairs of independently created onedimensional bose condensates analyzing different system sizes we observe the crossover from thermal to quantum noise reflected in a characteristic change in the distribution functions from poissonian to gumbeltype in excellent agreement with theoretical predictions based on the luttinger liquid formalism we present the first experimental observation of quasi longrange order in onedimensional atomic condensates which is a hallmark of quantum fluctuations in onedimensional systems furthermore our experiments constitute the first analysis of the full distribution of quantum noise in an interacting manybody system | [['the', 'probabilistic', 'character', 'of', 'the', 'measurement', 'process', 'is', 'one', 'of', 'the', 'most', 'puzzling', 'and', 'fascinating', 'aspects', 'of', 'quantum', 'mechanics', 'in', 'manybody', 'systems', 'quantum', 'mechanical', 'noise', 'reveals', 'nonlocal', 'correlations', 'of', 'the', 'underlying', 'manybody', 'states', 'here', 'we', 'provide', 'a', 'complete', 'experimental', 'analysis', 'of', 'the', 'shottoshot', 'variations', 'of', 'interference', 'fringe', 'contrast', 'for', 'pairs', 'of', 'independently', 'created', 'onedimensional', 'bose', 'condensates', 'analyzing', 'different', 'system', 'sizes', 'we', 'observe', 'the', 'crossover', 'from', 'thermal', 'to', 'quantum', 'noise', 'reflected', 'in', 'a', 'characteristic', 'change', 'in', 'the', 'distribution', 'functions', 'from', 'poissonian', 'to', 'gumbeltype', 'in', 'excellent', 'agreement', 'with', 'theoretical', 'predictions', 'based', 'on', 'the', 'luttinger', 'liquid', 'formalism', 'we', 'present', 'the', 'first', 'experimental', 'observation', 'of', 'quasi', 'longrange', 'order', 'in', 'onedimensional', 'atomic', 'condensates', 'which', 'is', 'a', 'hallmark', 'of', 'quantum', 'fluctuations', 'in', 'onedimensional', 'systems', 'furthermore', 'our', 'experiments', 'constitute', 'the', 'first', 'analysis', 'of', 'the', 'full', 'distribution', 'of', 'quantum', 'noise', 'in', 'an', 'interacting', 'manybody', 'system']] | [-0.14354948006760682, 0.1737983629667671, -0.14409457409523263, 0.05395764040463125, 0.03524257316777524, -0.13840037501709412, 0.016686793608781305, 0.3080292922329076, -0.23319984551427383, -0.24722943804396766, -0.009286508901405019, -0.3255218508089111, -0.1592289877572797, 0.17895814833523582, -0.0023734013509195654, 0.11917882899152128, 0.05999695244891039, -0.005149248835968914, -0.07390524731034644, -0.19787484240194742, 0.31564054288646465, 0.02411584076420642, 0.3019678970411365, 0.047101723710007044, 0.06864195790848811, 0.04528121480609487, 0.012625622811190186, 0.009970431443793278, -0.12897677922512601, 0.09200136122645565, 0.23989871815934669, 0.00923509229175121, 0.2161160537252461, -0.4484080837047013, -0.22409035783451403, 0.06312113378305723, 0.13029844640842536, 0.19066246714779467, -0.03208468283482412, -0.34812453001683213, -0.005324491381264516, -0.150016263113731, -0.13281389967925902, -0.09518250486521172, 0.010458102121772448, 0.021220586293021787, -0.21841677027095083, 0.13764693158216448, 0.08354799055501166, 0.09638585804886844, -0.03538047580769027, -0.05824513619011064, 0.059325467528313074, 0.12155876952277864, -0.050298509368355164, -0.03998075474400318, 0.13285395065254538, -0.161272905686238, -0.1660363907521305, 0.3935871068524183, -0.08857397889347923, -0.13476157219686213, 0.2082592309503578, -0.1891760372583938, -0.12952570774232167, 0.13514497562100852, 0.1379576605459145, 0.057322489607562546, -0.1415578262713894, 0.04545628846356183, -0.0348450269577277, 0.19730385814994797, -0.002559935563604218, 0.12062725460408111, 0.25137898257940355, 0.20700576936105525, 0.010527683163646363, 0.16963167112986863, -0.08312917685015216, -0.19725203969563446, -0.31587004831509435, -0.14318766456332, -0.25000342907533596, 0.07280123122988173, -0.0379171906459531, -0.18568477335039282, 0.4214379257338978, 0.19691120542205162, 0.1975434956201998, -0.018465804222488544, 0.2709927210434727, 0.12962327284456304, -0.021386001660169043, -0.018153842069534926, 0.22803152591052947, 0.17921049199508923, 0.08593362193031195, -0.28489548686796623, 0.027489795418367824, -0.014617848512546642] |
710.1576 | Drift of slow variables in slow-fast Hamiltonian systems | We study the drift of slow variables in a slow-fast Hamiltonian system with
several fast and slow degrees of freedom. For any periodic trajectory of the
fast subsystem with the frozen slow variables we define an action. For a family
of periodic orbits, the action is a scalar function of the slow variables and
can be considered as a Hamiltonian function which generates some slow dynamics.
These dynamics depend on the family of periodic orbits.
Assuming the fast system with the frozen slow variables has a pair of
hyperbolic periodic orbits connected by two transversal heteroclinic
trajectories, we prove that for any path composed of a finite sequence of slow
trajectories generated by action Hamiltonians, there is a trajectory of the
full system whose slow component shadows the path.
| math.DS math-ph math.MP | we study the drift of slow variables in a slowfast hamiltonian system with several fast and slow degrees of freedom for any periodic trajectory of the fast subsystem with the frozen slow variables we define an action for a family of periodic orbits the action is a scalar function of the slow variables and can be considered as a hamiltonian function which generates some slow dynamics these dynamics depend on the family of periodic orbits assuming the fast system with the frozen slow variables has a pair of hyperbolic periodic orbits connected by two transversal heteroclinic trajectories we prove that for any path composed of a finite sequence of slow trajectories generated by action hamiltonians there is a trajectory of the full system whose slow component shadows the path | [['we', 'study', 'the', 'drift', 'of', 'slow', 'variables', 'in', 'a', 'slowfast', 'hamiltonian', 'system', 'with', 'several', 'fast', 'and', 'slow', 'degrees', 'of', 'freedom', 'for', 'any', 'periodic', 'trajectory', 'of', 'the', 'fast', 'subsystem', 'with', 'the', 'frozen', 'slow', 'variables', 'we', 'define', 'an', 'action', 'for', 'a', 'family', 'of', 'periodic', 'orbits', 'the', 'action', 'is', 'a', 'scalar', 'function', 'of', 'the', 'slow', 'variables', 'and', 'can', 'be', 'considered', 'as', 'a', 'hamiltonian', 'function', 'which', 'generates', 'some', 'slow', 'dynamics', 'these', 'dynamics', 'depend', 'on', 'the', 'family', 'of', 'periodic', 'orbits', 'assuming', 'the', 'fast', 'system', 'with', 'the', 'frozen', 'slow', 'variables', 'has', 'a', 'pair', 'of', 'hyperbolic', 'periodic', 'orbits', 'connected', 'by', 'two', 'transversal', 'heteroclinic', 'trajectories', 'we', 'prove', 'that', 'for', 'any', 'path', 'composed', 'of', 'a', 'finite', 'sequence', 'of', 'slow', 'trajectories', 'generated', 'by', 'action', 'hamiltonians', 'there', 'is', 'a', 'trajectory', 'of', 'the', 'full', 'system', 'whose', 'slow', 'component', 'shadows', 'the', 'path']] | [-0.275369958518896, 0.22490167205843284, -0.1025260585295253, 0.006799937646417308, -0.03648297927818846, -0.12751693516435433, 0.005057536715338397, 0.34474930515180724, -0.3196220289511505, -0.21281435742050178, 0.10775487058590232, -0.22342689612577127, -0.16425926350201517, 0.20978129262378972, -0.05832383953677418, 0.06555524045085288, 0.14221041270553372, 0.07893186636619241, -0.053424351955150336, -0.19053625312539957, 0.2970029930511937, -0.039784072461545236, 0.1437883771407281, -0.08625525284500778, 0.17951323975657307, 0.05332862462870083, 0.04505450494385274, 0.005790985600892888, -0.08533599139075021, 0.07108492327695207, 0.13613902021546004, 0.11575603190369095, 0.26185555968527474, -0.42374551797993193, -0.22071549326340242, 0.10890123863928308, 0.1472338103985255, 0.11641620245830755, -0.014069444383494556, -0.2676531726696579, 0.05769764640559839, -0.14317188560944627, -0.24162027181321105, -0.0907553466065794, 0.08203745001652675, 0.08408844550753865, -0.25963722565030867, 0.0442898332235194, 0.11576436825327632, 0.08634192602665619, -0.05212208156856571, -0.01724690725294108, -0.044865266098676956, 0.12945443683108965, 0.08311822317728354, 0.043479213705863946, 0.12477645093156386, -0.06129633312568415, -0.07617055254991982, 0.34939581385268575, -0.09889742966142101, -0.26808182895183563, 0.21790791648375088, -0.1308337441219609, -0.11989053731148903, 0.20851871462235616, 0.1797973488406964, 0.1780814026128645, -0.1862957611239638, 0.08171166018889711, -0.01625929300785209, 0.15526997661145853, 0.04140642461504123, 0.0337824959112981, 0.21101641433655063, 0.13011480122804642, 0.12081511811508487, 0.12150091422331888, -0.05687318900203, -0.17828536201846, -0.30204829442235387, -0.13422934400538603, -0.15499395755834358, 0.07513582419113134, -0.11425995856298805, -0.23803157815637516, 0.4487082483463509, 0.03836594799500998, 0.22570863081315576, 0.02776763416454918, 0.23859074752770595, 0.15306982268938477, 0.03606262246810997, 0.12735240527269856, 0.18430829035274346, 0.12055435484318539, 0.014049476528785718, -0.2537872883032776, 0.0181954765923379, 0.11229609509626794] |
710.1577 | NLO QCD corrections to WW+jet production at hadron colliders | We report on the calculation of the next-to-leading order QCD corrections to
the production of W-boson pairs in association with a hard jet at the Tevatron
and the LHC, which is an important source of background for Higgs and
new-physics searches. The corrections stabilize the leading-order prediction
for the cross section considerably, in particular if a veto against the
emission of a second hard jet is applied.
| hep-ph | we report on the calculation of the nexttoleading order qcd corrections to the production of wboson pairs in association with a hard jet at the tevatron and the lhc which is an important source of background for higgs and newphysics searches the corrections stabilize the leadingorder prediction for the cross section considerably in particular if a veto against the emission of a second hard jet is applied | [['we', 'report', 'on', 'the', 'calculation', 'of', 'the', 'nexttoleading', 'order', 'qcd', 'corrections', 'to', 'the', 'production', 'of', 'wboson', 'pairs', 'in', 'association', 'with', 'a', 'hard', 'jet', 'at', 'the', 'tevatron', 'and', 'the', 'lhc', 'which', 'is', 'an', 'important', 'source', 'of', 'background', 'for', 'higgs', 'and', 'newphysics', 'searches', 'the', 'corrections', 'stabilize', 'the', 'leadingorder', 'prediction', 'for', 'the', 'cross', 'section', 'considerably', 'in', 'particular', 'if', 'a', 'veto', 'against', 'the', 'emission', 'of', 'a', 'second', 'hard', 'jet', 'is', 'applied']] | [-0.04939868806777939, 0.14645109952053006, -0.1022553723687723, 0.14678970780988126, -0.06379914659061539, -0.08900171249354286, 0.001662322486848084, 0.33825647016403393, -0.17344501235786436, -0.25314584969362214, 0.030570541553671903, -0.35471580465977537, 0.05901503821473513, 0.15198988298392063, 0.08266931730878553, 0.10793964086628671, 0.09243131156510381, 0.02743690365703026, -0.033058343816604184, -0.25134075339883566, 0.32115195441379474, 0.122511101636424, 0.19152941105803892, 0.20642573012511678, 0.05895605969673662, 0.0577468273313299, -0.07107806287327115, -0.04506261713469206, -0.0848732544387232, 0.09209833251062169, 0.22102777666148188, 0.005708260524239558, 0.11587778432294726, -0.3137679080437146, -0.08038029676553474, 0.10469543319473516, 0.11596896952546354, 0.10952399723725255, -0.05277592157284771, -0.2587275498671763, 0.13325549511294535, -0.27477165500619516, -0.07685854010728758, -0.04111075459340059, -0.019987715269202618, -0.0854196623176225, -0.3443805513375286, 0.03294988925944069, -0.01803610027149153, -0.031344411071084106, 0.02363418255682423, -0.11196409364634041, -0.04915140275217926, 0.039420625577166454, 0.14453525818300558, 0.09448645446699724, 0.1816821688744448, -0.26505357815202935, -0.24818395235256027, 0.44629172602696204, -0.056975720333866775, -0.15838949087270493, 0.14473263991635238, -0.21771810219776053, -0.18771128341513896, 0.19511271391842347, 0.2671899418520338, 0.1262701133703952, -0.15355792921731498, 0.10641589966331567, 0.05389960837175152, 0.2084149950385483, 0.043239123945527556, 0.011882351464661422, 0.2026297355265315, 0.1933615810077971, 0.02398827774867193, 0.13720383515942897, -0.17205751566007846, -0.05348877316869017, -0.512583016515223, -0.10502339378277313, -0.04672583890383813, 0.0396417924550487, -0.06540744807249728, -0.15868721857889376, 0.3771791661908822, 0.12858354576182232, 0.2384261814599384, 0.013838668018509982, 0.38254193977953227, 0.11300525278436827, 0.07944992320514771, 0.06613943318544484, 0.37977898084739253, 0.13892001026560233, 0.11904390391879785, -0.24735081436698075, 0.07368119912388832, 0.07740060670940734] |
710.1578 | Dynamical dimer method for the determination of transition states with
ab initio molecular dynamics | A dynamical formulation of the dimer method for the determination of
transition states is presented. The method is suited for ab-initio molecular
dynamics using the fictitious Lagrangian formulation. The method has been
applied to the con-rotatory ring opening of chloro-cyclo-butadiene, an example,
where the application of the drag method is problematic.
| physics.comp-ph cond-mat.mtrl-sci | a dynamical formulation of the dimer method for the determination of transition states is presented the method is suited for abinitio molecular dynamics using the fictitious lagrangian formulation the method has been applied to the conrotatory ring opening of chlorocyclobutadiene an example where the application of the drag method is problematic | [['a', 'dynamical', 'formulation', 'of', 'the', 'dimer', 'method', 'for', 'the', 'determination', 'of', 'transition', 'states', 'is', 'presented', 'the', 'method', 'is', 'suited', 'for', 'abinitio', 'molecular', 'dynamics', 'using', 'the', 'fictitious', 'lagrangian', 'formulation', 'the', 'method', 'has', 'been', 'applied', 'to', 'the', 'conrotatory', 'ring', 'opening', 'of', 'chlorocyclobutadiene', 'an', 'example', 'where', 'the', 'application', 'of', 'the', 'drag', 'method', 'is', 'problematic']] | [-0.10423455037632767, 0.05033635364504464, -0.16298293466774785, 0.018516608815621203, -0.030551990579661667, -0.11273353959538271, -0.019463250033405363, 0.3489089877325661, -0.2739739121527088, -0.3050312963979585, 0.06314200647555444, -0.21746698443834878, -0.18818035603938055, 0.20508571200985082, 0.03690623670664369, 0.09326871043565321, 0.03777237361943235, 0.02531931934193993, -0.06380513918643095, -0.17208515672127203, 0.28481441432115984, 0.06699288957657254, 0.26045986785724456, 0.10543443116226367, 0.11206059490463563, 0.003948401061019727, 0.0239497836802763, 0.026213260215460037, -0.11454989159555763, 0.13123082121886426, 0.19861172490791246, 0.06181262948132139, 0.27153136463341665, -0.3894306816236705, -0.20320229333996467, 0.03588253272488257, 0.1421225828175642, 0.1795392433865642, -0.06125576370300687, -0.24944080191911483, 0.031722042747602174, -0.18135470051166355, -0.201542216734438, -0.11988293498811521, 0.020402793601459385, -0.021086546288309048, -0.3019768935153071, 0.08467510082207773, 0.0038277208983270947, 0.06517944441233971, -0.08725786860081919, -0.09428963150677024, 0.019092014439556063, 0.10238464738299348, 0.003552522305969377, 0.05693209665466328, 0.15832539022501027, -0.09068766594579329, -0.10202799066521075, 0.4648825061336464, -0.07340249776773687, -0.23119721122143067, 0.16588819812869235, -0.050460826510525476, -0.1048543591584478, 0.17908276260203246, 0.11978715831147772, 0.2209217063797524, -0.14279131144665333, 0.10251926098551069, -0.057654958218336105, 0.1012411806613625, -0.03729819559625217, -0.04841434221942814, 0.17189038912195484, 0.24949041715994172, 0.05636506726340467, 0.1554077086704118, -0.1414782796340177, -0.16799695843032428, -0.2788347187547051, -0.15963537411346118, -0.24769050019736194, -0.0074087240524133855, -0.033122708911684395, -0.16402868750714222, 0.39646865647970414, 0.16844797605762676, 0.12653611923510932, -0.04090135597756931, 0.325585305320137, 0.14912771239724695, 0.07016224358991092, 0.005327121269109906, 0.2470044787897139, 0.18901331076512531, 0.05697839563636451, -0.299780243922177, 0.05684855403568672, 0.134265343753659] |
710.1579 | Antiferro-quadrupole state of orbital-degenerate Kondo lattice model
with f^2 configuration | To clarify a key role of $f$ orbitals in the emergence of
antiferro-quadrupole structure in PrPb$_{3}$, we investigate the ground-state
property of an orbital-degenerate Kondo lattice model by numerical
diagonalization techniques. In PrPb$_{3}$, Pr$^{3+}$ has a $4f^{2}$
configuration and the crystalline-electric-field ground state is a non-Kramers
doublet $\Gamma_{3}$. In a $j$-$j$ coupling scheme, the $\Gamma_{3}$ state is
described by two local singlets, each of which consists of two $f$ electrons
with one in $\Gamma_{7}$ and another in $\Gamma_{8}$ orbitals. Since in a cubic
structure, $\Gamma_{7}$ has localized nature, while $\Gamma_{8}$ orbitals are
rather itinerant, we propose the orbital-degenerate Kondo lattice model for an
effective Hamiltonian of PrPb$_{3}$. We show that an antiferro-orbital state is
favored by the so-called double-exchange mechanism which is characteristic of
multi-orbital systems.
| cond-mat.str-el | to clarify a key role of f orbitals in the emergence of antiferroquadrupole structure in prpb_3 we investigate the groundstate property of an orbitaldegenerate kondo lattice model by numerical diagonalization techniques in prpb_3 pr3 has a 4f2 configuration and the crystallineelectricfield ground state is a nonkramers doublet gamma_3 in a jj coupling scheme the gamma_3 state is described by two local singlets each of which consists of two f electrons with one in gamma_7 and another in gamma_8 orbitals since in a cubic structure gamma_7 has localized nature while gamma_8 orbitals are rather itinerant we propose the orbitaldegenerate kondo lattice model for an effective hamiltonian of prpb_3 we show that an antiferroorbital state is favored by the socalled doubleexchange mechanism which is characteristic of multiorbital systems | [['to', 'clarify', 'a', 'key', 'role', 'of', 'f', 'orbitals', 'in', 'the', 'emergence', 'of', 'antiferroquadrupole', 'structure', 'in', 'prpb_3', 'we', 'investigate', 'the', 'groundstate', 'property', 'of', 'an', 'orbitaldegenerate', 'kondo', 'lattice', 'model', 'by', 'numerical', 'diagonalization', 'techniques', 'in', 'prpb_3', 'pr3', 'has', 'a', '4f2', 'configuration', 'and', 'the', 'crystallineelectricfield', 'ground', 'state', 'is', 'a', 'nonkramers', 'doublet', 'gamma_3', 'in', 'a', 'jj', 'coupling', 'scheme', 'the', 'gamma_3', 'state', 'is', 'described', 'by', 'two', 'local', 'singlets', 'each', 'of', 'which', 'consists', 'of', 'two', 'f', 'electrons', 'with', 'one', 'in', 'gamma_7', 'and', 'another', 'in', 'gamma_8', 'orbitals', 'since', 'in', 'a', 'cubic', 'structure', 'gamma_7', 'has', 'localized', 'nature', 'while', 'gamma_8', 'orbitals', 'are', 'rather', 'itinerant', 'we', 'propose', 'the', 'orbitaldegenerate', 'kondo', 'lattice', 'model', 'for', 'an', 'effective', 'hamiltonian', 'of', 'prpb_3', 'we', 'show', 'that', 'an', 'antiferroorbital', 'state', 'is', 'favored', 'by', 'the', 'socalled', 'doubleexchange', 'mechanism', 'which', 'is', 'characteristic', 'of', 'multiorbital', 'systems']] | [-0.22375599195855478, 0.20734034956094258, -0.006420893053198973, 0.07531777389776258, 0.015633512983128192, -0.19226786243315372, 0.04828484760900398, 0.3434082716001227, -0.23428322214056693, -0.23613395927739994, -0.04575163353186485, -0.29513698774907327, -0.09100179760051626, 0.05886558191629038, 0.07611417778516336, -0.061512040811413454, -0.027987635295305933, -0.010725904034361952, -0.09353515369603263, -0.20729027823212423, 0.3166922121234829, 0.00302994517435778, 0.2631478067635307, 0.05408478781233527, 0.041982524279904156, 0.01803929660476685, 0.20262078774930348, -0.06582393325377434, -0.09575432149670503, 0.09217792140164723, 0.21696530927770905, -0.039535245799001244, 0.2483568719684309, -0.40671749429274645, -0.15633590858695762, 0.013824951445077739, 0.14010718389550994, 0.1561769369420492, -0.025021589880380484, -0.31236984536776113, 0.015564225680593933, -0.18529907747408345, -0.12293313513509929, -0.13481492439048395, -0.03303440890851475, -0.06271969721817026, -0.30191721215507844, 0.10227684437787891, 0.08619386563631928, 0.09371828817806784, -0.10680532155721079, -0.16099827314564397, -0.12217476036185251, 0.012918524388667373, 0.01646970134941743, 0.08112106206346421, 0.019913131241790123, -0.11254972814848381, -0.15905192247056033, 0.4102650812220952, -0.056356355193115416, -0.13509760824187347, 0.1409080053627905, -0.11256429586478228, -0.12664515082354819, 0.1557073904837053, 0.03777458349756512, 0.08761520589894009, -0.1350365242101289, 0.18293046619331266, -0.06839506102666731, 0.19932808042208236, -0.0665077768037066, 0.05898862567615681, 0.19689048415360352, 0.17404021780257897, 0.07282798101622907, 0.1537168441517722, -0.10234771235032923, -0.14251767346147626, -0.21059938842645062, -0.16168970796501353, -0.25637026394103907, 0.049485832186681886, -0.015448634427489847, -0.16910126253349025, 0.4519063153384484, 0.09571295236754748, 0.19504186888373207, -0.140730138794179, 0.18805529326496143, 0.08658637534568293, 0.027761788173977817, 0.03559942001621017, 0.21788124703582273, 0.15722894912681704, 0.016166471715439997, -0.3213415704362671, 0.04464274846638242, 0.13998368763113542] |
710.158 | Moments of meson distribution functions with dynamical twisted mass
fermions | We present our preliminary results on the lowest moment <x> of quark
distribution functions of the pion using two flavor dynamical simulations with
Wilson twisted mass fermions at maximal twist. The calculation is done in a
range of pion masses from 300 to 500 MeV. A stochastic source method is used to
reduce inversions in calculating propagators. Finite volume effects at the
lowest quark mass are examined by using two different lattice volumes. Our
results show that we achieve statistical errors of only a few percent. We plan
to compute renormalization constants non-perturbatively and extend the
calculation to two more lattice spacings and to the nucleons.
| hep-lat | we present our preliminary results on the lowest moment x of quark distribution functions of the pion using two flavor dynamical simulations with wilson twisted mass fermions at maximal twist the calculation is done in a range of pion masses from 300 to 500 mev a stochastic source method is used to reduce inversions in calculating propagators finite volume effects at the lowest quark mass are examined by using two different lattice volumes our results show that we achieve statistical errors of only a few percent we plan to compute renormalization constants nonperturbatively and extend the calculation to two more lattice spacings and to the nucleons | [['we', 'present', 'our', 'preliminary', 'results', 'on', 'the', 'lowest', 'moment', 'x', 'of', 'quark', 'distribution', 'functions', 'of', 'the', 'pion', 'using', 'two', 'flavor', 'dynamical', 'simulations', 'with', 'wilson', 'twisted', 'mass', 'fermions', 'at', 'maximal', 'twist', 'the', 'calculation', 'is', 'done', 'in', 'a', 'range', 'of', 'pion', 'masses', 'from', '300', 'to', '500', 'mev', 'a', 'stochastic', 'source', 'method', 'is', 'used', 'to', 'reduce', 'inversions', 'in', 'calculating', 'propagators', 'finite', 'volume', 'effects', 'at', 'the', 'lowest', 'quark', 'mass', 'are', 'examined', 'by', 'using', 'two', 'different', 'lattice', 'volumes', 'our', 'results', 'show', 'that', 'we', 'achieve', 'statistical', 'errors', 'of', 'only', 'a', 'few', 'percent', 'we', 'plan', 'to', 'compute', 'renormalization', 'constants', 'nonperturbatively', 'and', 'extend', 'the', 'calculation', 'to', 'two', 'more', 'lattice', 'spacings', 'and', 'to', 'the', 'nucleons']] | [-0.07910542987300223, 0.24252482529132152, -0.07485401934399358, 0.11604879893371309, -0.018659947232732038, -0.047193958943507655, 0.11547168020767441, 0.40777039278368904, -0.17615932830662098, -0.29138364132827604, 0.03311902228171744, -0.3066041464917362, -0.002107237935733964, 0.17389820743668474, 0.041081257321117316, 0.07788935489513261, 0.08600640327906904, -0.0031569684890784184, -0.16319108867516988, -0.2543228089211966, 0.324626313223732, 0.00859979602929978, 0.22954155242000268, 0.15295567648553396, 0.07616179018228683, -0.017838180306771735, -0.04872049818711601, -0.04095556727557812, -0.13043634933761358, 0.0899883739541522, 0.17366333820589133, -0.008552022418885861, 0.18821042407093183, -0.35959198123792996, -0.16313660736986488, 0.05635060935790809, 0.12095072606709162, 0.12856843406861684, -0.011098589952008246, -0.22302900602215164, 0.12466965363150076, -0.21086806533331015, -0.176070436549742, -0.1296561027894605, -0.04246000870447254, -0.03453671827227018, -0.29773115335946093, 0.08953444215794147, -0.10405714377757593, 0.06618660225374799, -0.0258200850232311, -0.23377068064896003, -0.021419296585866866, 0.11977916040110735, 0.08795480470981379, 0.05680913566875289, 0.15520012664678945, -0.09736253555758663, -0.11800267622489834, 0.4304855626673912, -0.08908909437453093, -0.2169156612560399, 0.1265534315750284, -0.21270525494572828, -0.144487484200102, 0.14344641105358363, 0.17778627497565774, 0.11019354286375192, -0.18198587610562034, 0.02761294229619451, -0.05943624606742611, 0.20363979498451612, 0.09565520250976507, -0.01483744337610057, 0.1845745204262576, 0.1426642993157554, 0.0042102725315347036, 0.10047470497017955, -0.08859400813828029, -0.11656614436926145, -0.3279418586314006, -0.060852824780598, -0.1704890807554618, 0.06512497365035398, -0.1244514613400789, -0.12886955684110224, 0.4006052543321308, 0.16884063361300472, 0.21089753043126175, 0.06584362740153973, 0.2759217642827557, 0.09789425757810262, 0.10100121957794675, 0.07914708330919791, 0.21865139959186738, 0.17646296128613065, 0.0754032122445697, -0.27017995781695714, -0.09655914181527102, 0.12367774919554028] |
710.1581 | On geometry of gonometric family of cycles | An examples of solutions of the equation for curvature of congruence of
cycles are constructed. Their properties are discussed.
| nlin.SI | an examples of solutions of the equation for curvature of congruence of cycles are constructed their properties are discussed | [['an', 'examples', 'of', 'solutions', 'of', 'the', 'equation', 'for', 'curvature', 'of', 'congruence', 'of', 'cycles', 'are', 'constructed', 'their', 'properties', 'are', 'discussed']] | [-0.2501851747694768, 0.10042613159672137, -0.037088831592547264, 0.08272984432742785, -0.04988935197654523, -0.06292791390105297, -0.08606574071669265, 0.35424065178162173, -0.2808268448632014, -0.24672204991312405, 0.16683531944688998, -0.35224882371135446, -0.1454961267545035, 0.2881425397568627, -0.035779514889183794, 0.06161534531336082, 0.040126327817377294, 0.09623459101605572, -0.07930340363006842, -0.2999782751461393, 0.3879567016112177, 0.010198249677686315, 0.18574631900379532, 0.015393852378780904, 0.10048269960833223, -0.13062506754833617, -0.0289555766472691, 0.033550526946783066, -0.21631035542017535, 0.13334848148454176, 0.19162401321687197, 0.1532726252549573, 0.18500276537317978, -0.4367317051479691, -0.2122926212062961, 0.07819956756736103, 0.08719567381041615, 0.06461882512820394, -0.05155076973728443, -0.2690906481523263, 0.14974632672965527, -0.06312123019444316, -0.26028574846292796, -0.14939382182140098, 0.04627601116111404, 0.17294083810166308, -0.15875100854196048, 0.062402489006911456, 0.12428239134973601, 0.11730035883374512, -0.13558762299975283, -0.1335476456994289, -0.08075894758497414, 0.1246409408356014, 0.11361478543595264, -0.16111636742655383, 0.01992170395035493, -0.18617411516606808, -0.1407551773284611, 0.39131288504914236, 0.025627673799662215, -0.24344991225945323, 0.11200240274008952, -0.020324096671844784, -0.1052605020568559, 0.1335834356662082, 0.13452781038358808, 0.20736508453755, -0.156575466849302, 0.1209239219560435, -0.016553125295199846, 0.04694636626855323, 0.11461370864785031, 0.044744013906701616, 0.15498757078067252, 0.07849540953573428, -0.005258589835935517, 0.15336477383971214, 0.03886733204126358, -0.10313084868616179, -0.3857269477295248, -0.1812500746332501, -0.14518601172848752, 0.07098030436195825, -0.14510298944323471, -0.23273248245057307, 0.4328536136369956, 0.03385673432708963, 0.15309063972611175, 0.06989426234442937, 0.16063550314375838, 0.1726998659340959, -0.001693917842777936, 0.03771923752011437, 0.26146991158786576, 0.24205206413018077, 0.009616124394692872, -0.15608977217925712, -0.017901867137927758, 0.13213570777473874] |
710.1582 | Results from overlap valence quarks on a twisted mass sea | We present results of lattice computations using overlap fermions on a
twisted mass background. $N_f=2$ full QCD gauge configurations have been
produced by the ETM Collaboration with very light pions (down to less than 300
MeV), with small lattice spacing ($a \approx 0.09$ fm) and large volumes
($V/a^4=24^3\times 48$). By profiting of the good chiral properties of the
overlap operator for the valence quarks, it is also possible to have a precise
(and unquenched) determination of those physical quantities where the chiral
properties are crucial. In order to have unquenched results, we match the
valence quark mass with the sea quark mass. We also perform computations with
different quark masses in order to simulate (partially quenched) Strange and
Charm quarks. A typical application is the computation of $B_K$, for which we
present first results.
| hep-lat | we present results of lattice computations using overlap fermions on a twisted mass background n_f2 full qcd gauge configurations have been produced by the etm collaboration with very light pions down to less than 300 mev with small lattice spacing a approx 009 fm and large volumes va4243times 48 by profiting of the good chiral properties of the overlap operator for the valence quarks it is also possible to have a precise and unquenched determination of those physical quantities where the chiral properties are crucial in order to have unquenched results we match the valence quark mass with the sea quark mass we also perform computations with different quark masses in order to simulate partially quenched strange and charm quarks a typical application is the computation of b_k for which we present first results | [['we', 'present', 'results', 'of', 'lattice', 'computations', 'using', 'overlap', 'fermions', 'on', 'a', 'twisted', 'mass', 'background', 'n_f2', 'full', 'qcd', 'gauge', 'configurations', 'have', 'been', 'produced', 'by', 'the', 'etm', 'collaboration', 'with', 'very', 'light', 'pions', 'down', 'to', 'less', 'than', '300', 'mev', 'with', 'small', 'lattice', 'spacing', 'a', 'approx', '009', 'fm', 'and', 'large', 'volumes', 'va4243times', '48', 'by', 'profiting', 'of', 'the', 'good', 'chiral', 'properties', 'of', 'the', 'overlap', 'operator', 'for', 'the', 'valence', 'quarks', 'it', 'is', 'also', 'possible', 'to', 'have', 'a', 'precise', 'and', 'unquenched', 'determination', 'of', 'those', 'physical', 'quantities', 'where', 'the', 'chiral', 'properties', 'are', 'crucial', 'in', 'order', 'to', 'have', 'unquenched', 'results', 'we', 'match', 'the', 'valence', 'quark', 'mass', 'with', 'the', 'sea', 'quark', 'mass', 'we', 'also', 'perform', 'computations', 'with', 'different', 'quark', 'masses', 'in', 'order', 'to', 'simulate', 'partially', 'quenched', 'strange', 'and', 'charm', 'quarks', 'a', 'typical', 'application', 'is', 'the', 'computation', 'of', 'b_k', 'for', 'which', 'we', 'present', 'first', 'results']] | [-0.05808500699432833, 0.3104456440804708, -0.07646533479402892, 0.0936999009463488, -0.03134181145933121, -0.05677866861854393, 0.10783540708874177, 0.402643299024356, -0.10776445743998975, -0.30873350234163044, 0.0525387155287724, -0.3206568085133357, -0.00913438048997992, 0.10649850642084516, 0.036809526891771464, 0.10924735873118323, 0.09465917625247423, 0.005301130389360557, -0.13837061834362285, -0.2473566936525075, 0.32180642429739237, -0.004326475455068556, 0.2079413784256457, 0.1635896407515931, 0.004631224942666695, -0.020508926459833196, -0.022856543456813448, -0.05178862999900615, -0.1257371986319864, 0.0673782213405475, 0.1489569140579359, -0.03150627915082233, 0.13051097302284456, -0.35516118319334, -0.14243055952019654, 0.05773521536835154, 0.12008338617826146, 0.12855163254666568, -0.055792929160870836, -0.2616685743170573, 0.14587885742530898, -0.21497525315367638, -0.19327382275509067, -0.15962000499843598, -0.019410183633978766, -0.043772035845576374, -0.32435788905739965, 0.08145598169806574, -0.08651833819650828, 0.06923491465403958, 0.0022165703629248574, -0.23453566896807074, -0.059913622236397485, 0.12819170185427806, 0.09685713633502346, 0.11210960441766153, 0.09553339545566, -0.14990243701005174, -0.12293182126652534, 0.4721655780939679, -0.050788741336134965, -0.17790444579003448, 0.16986952909081124, -0.19301295080187178, -0.14561245070518294, 0.12133085891898525, 0.1841154100366385, 0.09293918385821626, -0.16818968189838238, 0.05383047524750359, -0.09779190870712658, 0.21926017474432133, 0.08425467973925117, 0.06447731098160148, 0.24804365114813068, 0.20566318369001374, -0.022331963533087446, 0.06533087889971982, -0.06568713095634335, -0.12214021162082672, -0.2672101048178467, -0.06946196771555938, -0.16066693647981697, 0.0834269345750248, -0.12741305712311568, -0.1251185573007267, 0.38519589289238576, 0.1444840749683685, 0.22200291953574783, 0.01143116076543395, 0.27865998080714527, 0.06598924370692637, 0.12119215361850995, 0.08479589938809325, 0.26099268095287725, 0.20568668473462917, 0.13999009143239013, -0.2446906733347621, -0.1066119335836878, 0.09525549242665109] |
710.1583 | Manin's conjecture for a quintic del Pezzo surface with A_2 singularity | Manin's conjecture is proved for a split del Pezzo surface of degree 5 with a
singularity of type A_2.
| math.NT math.AG | manins conjecture is proved for a split del pezzo surface of degree 5 with a singularity of type a_2 | [['manins', 'conjecture', 'is', 'proved', 'for', 'a', 'split', 'del', 'pezzo', 'surface', 'of', 'degree', '5', 'with', 'a', 'singularity', 'of', 'type', 'a_2']] | [-0.3020637169676392, -0.03310857723025899, -0.16935538029984423, 0.1057002934884574, -0.03741587659246043, -0.3602425410461269, -0.058680124139707336, 0.16130800094259412, -0.2314772454923705, -0.27773260168339076, 0.07290015553467367, -0.2595162805243346, -0.12439401567864575, 0.1986841498383958, -0.16786147707975224, -0.07154383186839129, 0.024423524329904467, 0.025488206773604218, -0.0985081197791978, -0.5152133186592868, 0.4644311211611095, -0.0856192896240636, 0.18032131206832433, 0.20283922494242065, 0.12457658205867599, 0.07134562515114483, 0.11396058550790737, -0.05891593379017554, -0.17059606441149586, 0.11304843172087874, 0.3671568696828265, 0.03944687702153858, 0.16234917115224035, -0.3138730181871276, -0.1812380089203974, 0.18381970253233848, 0.07126759519604475, 0.04582096229454404, -0.04822571928563871, -0.18443847771145797, 0.1461573434307387, -0.08671201012590532, -0.3866860800863881, 0.07458190615043829, 0.07801976893097162, -0.012913371828433714, -0.23879471676130043, 0.06191111434447138, 0.11063394489649095, 0.2373016644269228, 0.05545683023764899, -0.12041029471315835, -0.16317619010806084, -0.05002996800957542, -0.0737860205362698, 0.09462973230371349, -0.06074049323797226, -0.06950660471461322, -0.10639841958733373, 0.2604299288635191, -0.07226301930648715, -0.11233968511461219, 0.04830914461298993, -0.15028909432064547, -0.17095977445378116, 0.1685193335931552, 0.02247543642787557, 0.24019401069534452, 0.05069779565459803, 0.22526954663427254, -0.05741058740960924, 0.08426547718945106, 0.26757477880700636, -0.12947656449518705, 0.17390743010726414, 0.12797935287419118, 0.08890719246119261, 0.0416599892471966, -0.07163321893466146, 0.0676531740709355, -0.408312494817533, -0.22054608435811182, -0.10149572877899597, 0.24756876330234504, -0.13797961373960502, -0.16010016300960592, 0.45022922832714884, -0.15610153066288485, 0.17998186655734716, 0.15090858426533246, 0.06244345009326935, -0.0507089969653048, 0.03907641060160179, 0.019712334425237617, 0.1570057056562387, 0.2577752465088117, -0.07079864361960637, -0.10165330691655215, -0.013093129045477039, 0.2534931968701513] |
710.1584 | The GeV-TeV Connection in Galactic gamma-ray sources | Recent observations with atmospheric Cherenkov telescope systems such as
H.E.S.S. and MAGIC have revealed a large number of new sources of
very-high-energy (VHE) gamma-rays from 100 GeV - 100 TeV, mostly concentrated
along the Galactic plane. At lower energies (100 MeV - 10 GeV) the
satellite-based instrument EGRET revealed a population of sources clustering
along the Galactic Plane. Given their adjacent energy bands a systematic
correlation study between the two source catalogues seems appropriate. Here,
the populations of Galactic sources in both energy domains are characterised on
observational as well as on phenomenological grounds. Surprisingly few common
sources are found in terms of positional coincidence and spectral consistency.
These common sources and their potential counterparts and emission mechanisms
will be discussed in detail. In cases of detection only in one energy band, for
the first time consistent upper limits in the other energy band have been
derived. The EGRET upper limits are rather unconstraining due to the
sensitivity mismatch to current VHE instruments. The VHE upper limits put
strong constraints on simple power-law extrapolation of several of the EGRET
spectra and thus strongly suggest cutoffs in the unexplored energy range from
10 GeV - 100 GeV. Physical reasons for the existence of cutoffs and for
differences in the source population at GeV and TeV energies will be discussed.
Finally, predictions will be derived for common GeV - TeV sources for the
upcoming GLAST mission bridging for the first time the energy gap between
current GeV and TeV instruments.
| astro-ph | recent observations with atmospheric cherenkov telescope systems such as hess and magic have revealed a large number of new sources of veryhighenergy vhe gammarays from 100 gev 100 tev mostly concentrated along the galactic plane at lower energies 100 mev 10 gev the satellitebased instrument egret revealed a population of sources clustering along the galactic plane given their adjacent energy bands a systematic correlation study between the two source catalogues seems appropriate here the populations of galactic sources in both energy domains are characterised on observational as well as on phenomenological grounds surprisingly few common sources are found in terms of positional coincidence and spectral consistency these common sources and their potential counterparts and emission mechanisms will be discussed in detail in cases of detection only in one energy band for the first time consistent upper limits in the other energy band have been derived the egret upper limits are rather unconstraining due to the sensitivity mismatch to current vhe instruments the vhe upper limits put strong constraints on simple powerlaw extrapolation of several of the egret spectra and thus strongly suggest cutoffs in the unexplored energy range from 10 gev 100 gev physical reasons for the existence of cutoffs and for differences in the source population at gev and tev energies will be discussed finally predictions will be derived for common gev tev sources for the upcoming glast mission bridging for the first time the energy gap between current gev and tev instruments | [['recent', 'observations', 'with', 'atmospheric', 'cherenkov', 'telescope', 'systems', 'such', 'as', 'hess', 'and', 'magic', 'have', 'revealed', 'a', 'large', 'number', 'of', 'new', 'sources', 'of', 'veryhighenergy', 'vhe', 'gammarays', 'from', '100', 'gev', '100', 'tev', 'mostly', 'concentrated', 'along', 'the', 'galactic', 'plane', 'at', 'lower', 'energies', '100', 'mev', '10', 'gev', 'the', 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0.12823911984909142, -0.10516327424127547, 0.012722543910714477, -0.05146417349718175] |
710.1585 | Embedding the Zee-Wolfenstein neutrino mass matrix in an SO(10) x A4 GUT
scenario | We consider renormalizable SO(10) Yukawa interactions and put the three
fermionic 16-plets into the 3-dimensional irreducible A_4 representation.
Scanning the possible A_4 representation assignments to the scalars, we find a
unique case which allows to accommodate the down-quark and charged-lepton
masses. Assuming type II seesaw dominance, we obtain a viable scenario with the
Zee-Wolfenstein neutrino mass matrix, i.e., the Majorana mass matrix with a
vanishing diagonal. Contributions from the charged-lepton mass matrix resolve
the well-known problems with lepton mixing arising from the vanishing diagonal.
In our scenario, fermion masses and mixings are well reproduced for both normal
and inverted neutrino mass spectra, and b-tau Yukawa unification and definite
predictions for the effective mass in neutrinoless double-beta decay are
obtained.
| hep-ph | we consider renormalizable so10 yukawa interactions and put the three fermionic 16plets into the 3dimensional irreducible a_4 representation scanning the possible a_4 representation assignments to the scalars we find a unique case which allows to accommodate the downquark and chargedlepton masses assuming type ii seesaw dominance we obtain a viable scenario with the zeewolfenstein neutrino mass matrix ie the majorana mass matrix with a vanishing diagonal contributions from the chargedlepton mass matrix resolve the wellknown problems with lepton mixing arising from the vanishing diagonal in our scenario fermion masses and mixings are well reproduced for both normal and inverted neutrino mass spectra and btau yukawa unification and definite predictions for the effective mass in neutrinoless doublebeta decay are obtained | [['we', 'consider', 'renormalizable', 'so10', 'yukawa', 'interactions', 'and', 'put', 'the', 'three', 'fermionic', '16plets', 'into', 'the', '3dimensional', 'irreducible', 'a_4', 'representation', 'scanning', 'the', 'possible', 'a_4', 'representation', 'assignments', 'to', 'the', 'scalars', 'we', 'find', 'a', 'unique', 'case', 'which', 'allows', 'to', 'accommodate', 'the', 'downquark', 'and', 'chargedlepton', 'masses', 'assuming', 'type', 'ii', 'seesaw', 'dominance', 'we', 'obtain', 'a', 'viable', 'scenario', 'with', 'the', 'zeewolfenstein', 'neutrino', 'mass', 'matrix', 'ie', 'the', 'majorana', 'mass', 'matrix', 'with', 'a', 'vanishing', 'diagonal', 'contributions', 'from', 'the', 'chargedlepton', 'mass', 'matrix', 'resolve', 'the', 'wellknown', 'problems', 'with', 'lepton', 'mixing', 'arising', 'from', 'the', 'vanishing', 'diagonal', 'in', 'our', 'scenario', 'fermion', 'masses', 'and', 'mixings', 'are', 'well', 'reproduced', 'for', 'both', 'normal', 'and', 'inverted', 'neutrino', 'mass', 'spectra', 'and', 'btau', 'yukawa', 'unification', 'and', 'definite', 'predictions', 'for', 'the', 'effective', 'mass', 'in', 'neutrinoless', 'doublebeta', 'decay', 'are', 'obtained']] | [-0.07956644561599498, 0.27640869704043586, 0.04474166235087392, 0.21095110583355872, -0.09327651440339574, -0.23485164433102107, 0.041110174414717544, 0.3094549724058706, -0.19639976988783328, -0.2720492582184152, 0.029748870248776087, -0.26508503738148, -0.046323166084298234, 0.07129668090808189, 0.0755769790049595, 0.023127099830594102, 0.016589452990062408, -0.01988157172987269, -0.18531827238325219, -0.21476392848298775, 0.34695717628642725, -0.031583023928421536, 0.20216463926106187, 0.07548892353582433, 0.08698151661162028, -0.03374017646804578, -0.03482567741223848, -0.16348265817830876, -0.0759917460105745, 0.0462694430005563, 0.18462814907424974, 0.07138306488109342, 0.025716154424040044, -0.3613634175084279, -0.11485162322109534, 0.20740035468696663, 0.17111174358938963, 0.07748805382190335, -0.13737158638314675, -0.33495549067373437, 0.04116257993007173, -0.25587872524501093, -0.15089002152178752, -0.09298145796480131, -0.07752603492147084, -0.1438769108272489, -0.41575837215819095, 0.12875385160860803, -0.07746056212266213, -0.07915850816357692, -0.03009971090537196, -0.25821325729080175, -0.02317332430600615, 0.04900708199494471, 0.1913443996158618, -0.08509737168344021, 0.10455776012766026, -0.1271983253201312, -0.097026792875791, 0.4371845589006533, -0.07882760441664732, -0.18433445899636816, 0.11841759671283475, -0.14984978115683326, -0.14874338653033314, 0.08318885470251158, 0.13909789048995078, 0.03873583952668399, -0.16366306164349287, 0.2081234327771985, -0.1263185635887844, 0.13256872156477076, 0.0470115554566353, 0.00749964093379045, 0.3083524094752462, 0.17179669873094408, 0.03282325202599168, -0.06809705727086482, -0.06909107861416888, -0.062025307086237186, -0.3808234210108344, -0.09442163230180424, -0.10355713862878413, 0.11555207559396907, -0.11093589983869667, -0.12375093883661142, 0.4374411642488282, 0.08055995099278072, 0.25704435004173953, 0.11562446263417507, 0.26571583249251024, 0.0695459969327943, 0.13989744995231346, 0.004824829895554458, 0.25477285285567136, 0.22850191412825074, 0.06252207484696123, -0.2948287327308208, -0.05607395311343973, 0.14349675803224288] |
710.1586 | Large Groups of Deficiency One | We prove that if a group possesses a deficiency 1 presentation where one of
the relators is a commutator then it is the integers times the integers, is
large, or is as far as possible from being residually finite. Then we use this
to show that a mapping torus of an endomorphism of a finitely generated free
group is large if it contains the integers times the integers as a subgroup of
infinite index, as well as showing that such a group is large if it contains a
Baumslag-Solitar group of infinite index and has a finite index subgroup with
first Betti number at least 2. We give applications to free by cyclic groups, 1
relator groups and residually finite groups.
| math.GR | we prove that if a group possesses a deficiency 1 presentation where one of the relators is a commutator then it is the integers times the integers is large or is as far as possible from being residually finite then we use this to show that a mapping torus of an endomorphism of a finitely generated free group is large if it contains the integers times the integers as a subgroup of infinite index as well as showing that such a group is large if it contains a baumslagsolitar group of infinite index and has a finite index subgroup with first betti number at least 2 we give applications to free by cyclic groups 1 relator groups and residually finite groups | [['we', 'prove', 'that', 'if', 'a', 'group', 'possesses', 'a', 'deficiency', '1', 'presentation', 'where', 'one', 'of', 'the', 'relators', 'is', 'a', 'commutator', 'then', 'it', 'is', 'the', 'integers', 'times', 'the', 'integers', 'is', 'large', 'or', 'is', 'as', 'far', 'as', 'possible', 'from', 'being', 'residually', 'finite', 'then', 'we', 'use', 'this', 'to', 'show', 'that', 'a', 'mapping', 'torus', 'of', 'an', 'endomorphism', 'of', 'a', 'finitely', 'generated', 'free', 'group', 'is', 'large', 'if', 'it', 'contains', 'the', 'integers', 'times', 'the', 'integers', 'as', 'a', 'subgroup', 'of', 'infinite', 'index', 'as', 'well', 'as', 'showing', 'that', 'such', 'a', 'group', 'is', 'large', 'if', 'it', 'contains', 'a', 'baumslagsolitar', 'group', 'of', 'infinite', 'index', 'and', 'has', 'a', 'finite', 'index', 'subgroup', 'with', 'first', 'betti', 'number', 'at', 'least', '2', 'we', 'give', 'applications', 'to', 'free', 'by', 'cyclic', 'groups', '1', 'relator', 'groups', 'and', 'residually', 'finite', 'groups']] | [-0.1616883610860129, 0.19568457994776034, -0.10878501305633709, 0.04121755122126288, -0.09040526454991177, -0.14723511521650617, -0.0035159546450888816, 0.3828766668015275, -0.33100528484749153, -0.2221538020559579, 0.16304069296803234, -0.3228193047333293, -0.10828608940432448, 0.19525328995698432, -0.10725616604043556, -0.0842629691801411, 0.02206287247105694, 0.17843346470151067, -0.024305078888423585, -0.27006870314232573, 0.3431033913261634, -0.0553737505731627, 0.17246975417225813, 0.03559246122229013, 0.14524805754392353, -0.019073345725355316, 0.011279530999777946, 0.04132678740357688, -0.09562677037145717, 0.03108050574525452, 0.29484690858189727, 0.07752857384779914, 0.29211433327560554, -0.31264909119768575, -0.1728008409061523, 0.22146138482657837, 0.15478664230601477, 0.03078311194534883, -0.11636727305383167, -0.1948416537012566, 0.21124453310015773, -0.2453950091519139, -0.13112824277428925, -0.01342960930437096, 0.1599502424778771, -0.0023131574588743124, -0.24648928309382856, 0.007547976441435085, 0.0538040449321347, 0.12507036561531223, 0.015463303789989022, -0.10344305790745276, -0.03536450676427585, 0.14857148612495358, 0.045345521368440396, 0.010675257487003192, 0.08109592642896801, -0.046692661295956665, -0.10967191874072695, 0.4412778838853206, -0.07879465519766177, -0.1935502714515964, 0.1509677038666569, -0.17434824296958312, -0.1794109892846693, 0.13226002393182645, 0.0378183992733517, 0.14955903412697236, 0.004295387774829037, 0.19315677878065882, -0.1821207875724543, 0.18803737543173105, 0.04654028897812544, -0.039208190396335746, 0.10097862569199613, 0.11226684764828071, 0.13566553223231606, 0.1541601862173435, 0.043683298547898444, 0.09125553578482787, -0.365207152117875, -0.2104262516425907, -0.19472388691107226, 0.15560975596154772, -0.09097185075135848, -0.21588405881900619, 0.386964597238982, 0.06355444400779102, 0.15241318167579815, 0.1221415133940437, 0.2520549087361856, 0.07719003838152155, 0.11568826253041009, 0.1232820138820372, 0.027712235727524463, 0.17812409150521924, -0.13995228415308905, -0.09637343465381355, -0.02874102690911367, 0.18367860646348846] |
710.1587 | SUSY Lattice Vertex Algebras | We construct and study SUSY lattice vertex algebras. As a simple example, we
obtain the simple vertex algebra associated to the vertex algebra $V_c(N3)$ of
central charge $c=3/2$, as the SUSY lattice vertex algebra associated to
$\mathbb{Z}$ with bilinear form $(a,b) = 2ab$.
| math.QA math.OA | we construct and study susy lattice vertex algebras as a simple example we obtain the simple vertex algebra associated to the vertex algebra v_cn3 of central charge c32 as the susy lattice vertex algebra associated to mathbbz with bilinear form ab 2ab | [['we', 'construct', 'and', 'study', 'susy', 'lattice', 'vertex', 'algebras', 'as', 'a', 'simple', 'example', 'we', 'obtain', 'the', 'simple', 'vertex', 'algebra', 'associated', 'to', 'the', 'vertex', 'algebra', 'v_cn3', 'of', 'central', 'charge', 'c32', 'as', 'the', 'susy', 'lattice', 'vertex', 'algebra', 'associated', 'to', 'mathbbz', 'with', 'bilinear', 'form', 'ab', '2ab']] | [-0.13691333272471662, 0.10171255451150057, 0.012604118620113628, 0.07372486516379001, -0.19247929915422346, -0.22281569141394844, -0.004858075164076759, 0.39048896166609554, -0.330681117206085, -0.14872052075295913, 0.11886595450796006, -0.29416880265968604, -0.1392714426648326, 0.04957436431744477, -0.06266787745876283, -0.0393859210037967, 0.09720095237376304, 0.14185950259973362, -0.09521153739585382, -0.18794715945131896, 0.3244230180706193, -0.008178377961285593, 0.1062690363515441, 0.04787574987858534, 0.11619918193758988, 0.0858633890634448, 0.00833582605530576, 0.0011622594078866447, -0.20653746206676815, 0.06395910934704106, 0.26026862082866636, 0.017110587029558855, 0.13108089699114606, -0.4053794790695353, -0.0379494599225681, 0.1679762767218962, 0.1583832382428937, 0.06917780819462567, -0.07341536041349173, -0.17774230559788098, 0.08089444834012084, -0.3089018325071509, -0.17440797808784536, -0.07612206016826194, 0.08534794814157777, -0.09207930507297378, -0.3090068269975302, 0.03455717434606901, 0.019455475232950072, 0.08687902346435117, -0.014968995527341598, -0.1563233950675079, -0.15574424304976697, 0.03231700183823705, -0.10232221948482641, 0.14505347305704364, 0.15351636455644194, -0.14118051648185384, -0.27345825013954467, 0.3905536379755997, 0.04774442458207288, -0.16427039988793252, 0.12922428939037206, -0.19778477818500706, -0.2086252326872654, 0.056324639970936424, 0.06911110414600954, 0.055001783434574195, -0.14081180743055371, 0.22436264370675993, -0.14063958469323995, -0.011364774233320864, 0.05300937186381439, 0.0441188872394311, 0.15759830079438938, 0.10094770736901498, 0.0873098051538918, 0.19217355017800156, 0.08659492421429604, -0.07053823358515596, -0.4228191094064131, -0.08913058296936315, -0.1419741355973046, 0.1645975781650078, -0.15062829392086202, -0.1993802957145906, 0.45582258130605446, 0.10725535470538022, 0.23749367895013676, 0.060294070758107235, 0.10090566218671639, 0.1699418569517481, 0.1871698955755408, 0.029197693052815228, 0.04534661452422237, 0.2358722977521943, -0.018411657523091245, -0.23062860738576912, -0.17485405778421498, 0.32491497259314467] |
710.1588 | On the minimal free resolution for fat point schemes of multiplicity at
most 3 in P^2 | Let Z be a fat point scheme in P^2 supported on general points. Here we prove
that if the multiplicities are at most 3 and the length of Z is sufficiently
high then the number of generators of the homogeneous ideal I_Z in each degree
is as small as numerically possible. Since it is known that Z has maximal
Hilbert function, this implies that Z has the expected minimal free resolution.
| math.AG math.AC | let z be a fat point scheme in p2 supported on general points here we prove that if the multiplicities are at most 3 and the length of z is sufficiently high then the number of generators of the homogeneous ideal i_z in each degree is as small as numerically possible since it is known that z has maximal hilbert function this implies that z has the expected minimal free resolution | [['let', 'z', 'be', 'a', 'fat', 'point', 'scheme', 'in', 'p2', 'supported', 'on', 'general', 'points', 'here', 'we', 'prove', 'that', 'if', 'the', 'multiplicities', 'are', 'at', 'most', '3', 'and', 'the', 'length', 'of', 'z', 'is', 'sufficiently', 'high', 'then', 'the', 'number', 'of', 'generators', 'of', 'the', 'homogeneous', 'ideal', 'i_z', 'in', 'each', 'degree', 'is', 'as', 'small', 'as', 'numerically', 'possible', 'since', 'it', 'is', 'known', 'that', 'z', 'has', 'maximal', 'hilbert', 'function', 'this', 'implies', 'that', 'z', 'has', 'the', 'expected', 'minimal', 'free', 'resolution']] | [-0.13479089948125708, 0.17554219774114835, -0.07220075044676032, 0.04101809144715293, -0.0126494429743206, -0.1609828121120661, -0.002177846650789741, 0.36656740867257326, -0.27649897312856947, -0.19572266420795464, 0.1024577384716241, -0.26376303838906995, -0.09952903014253563, 0.21645978617344155, -0.03763251333877864, 0.003489333377088564, 0.021164358800119708, 0.10199678346881984, -0.03300346396486341, -0.3013770315586261, 0.3316891825508694, 0.0450155040459104, 0.1977741896227317, 0.052607525907404404, 0.1203631309228359, 0.020648885334671383, 0.008168879791464604, 0.027322408267703484, -0.16031661784285794, 0.04408618298516622, 0.25178147532360656, 0.10825757647234895, 0.2594196143704401, -0.3063755242390112, -0.14752960461847694, 0.2032738898988997, 0.1702090662176078, 0.02787182501084368, -0.026331928871821245, -0.14263751179399625, 0.23188324485131553, -0.1343388748472035, -0.2094761140933129, -0.024383615033412482, 0.08684115607658742, 0.037385360186945805, -0.27178193134268824, 0.05384108679316623, 0.04452601166009169, 0.07407232878965811, 0.02621903342955654, -0.10411157349983728, -0.11083032783042167, 0.06913248546139508, 0.024212239503624364, 0.09881458141263837, 0.03637900539267231, -0.12432856735458571, -0.09311465143134266, 0.3851067120025695, -0.026392175461014758, -0.22461926289112635, 0.18651705007331157, -0.22989085047755023, -0.11944342857803887, 0.14961877646921595, 0.11783806517274237, 0.12817891279209248, -0.06395613424427493, 0.22288368212003393, -0.11981473944451608, 0.15957011510888575, 0.07237000748331487, 0.04318335513062906, 0.14924877958083657, 0.12625952428337975, 0.10593519937066675, 0.0893930846179219, -0.08867956638585409, 0.013753276553601814, -0.3757040058852921, -0.1854392394921939, -0.23002655262416097, 0.13568095869424057, -0.11832910054998676, -0.12407327398762737, 0.33131914991002265, 0.08994687058713655, 0.24130533591017755, 0.06372010051994256, 0.24941996137388575, 0.1393283515165127, 0.057522191711567, 0.09952701249776381, 0.16647591820301513, 0.10103746766427821, -0.025536487777520652, -0.12508993115748318, 0.050545776367817125, 0.10507833564155539] |
710.1589 | Fast Reliability-based Algorithm of Finding Minimum-weight Codewords for
LDPC Codes | Despite the NP hardness of acquiring minimum distance $d_m$ for linear codes
theoretically, in this paper we propose one experimental method of finding
minimum-weight codewords, the weight of which is equal to $d_m$ for LDPC codes.
One existing syndrome decoding method, called serial belief propagation (BP)
with ordered statistic decoding (OSD), is adapted to serve our purpose. We hold
the conjecture that among many candidate error patterns in OSD reprocessing,
modulo 2 addition of the lightest error pattern with one of the left error
patterns may generate a light codeword. When the decoding syndrome changes to
all-zero state, the lightest error pattern reduces to all-zero, the lightest
non-zero error pattern is a valid codeword to update lightest codeword list.
Given sufficient codewords sending, the survived lightest codewords are
likely to be the target. Compared with existing techniques, our method
demonstrates its efficiency in the simulation of several interested LDPC codes.
| cs.IT math.IT | despite the np hardness of acquiring minimum distance d_m for linear codes theoretically in this paper we propose one experimental method of finding minimumweight codewords the weight of which is equal to d_m for ldpc codes one existing syndrome decoding method called serial belief propagation bp with ordered statistic decoding osd is adapted to serve our purpose we hold the conjecture that among many candidate error patterns in osd reprocessing modulo 2 addition of the lightest error pattern with one of the left error patterns may generate a light codeword when the decoding syndrome changes to allzero state the lightest error pattern reduces to allzero the lightest nonzero error pattern is a valid codeword to update lightest codeword list given sufficient codewords sending the survived lightest codewords are likely to be the target compared with existing techniques our method demonstrates its efficiency in the simulation of several interested ldpc codes | [['despite', 'the', 'np', 'hardness', 'of', 'acquiring', 'minimum', 'distance', 'd_m', 'for', 'linear', 'codes', 'theoretically', 'in', 'this', 'paper', 'we', 'propose', 'one', 'experimental', 'method', 'of', 'finding', 'minimumweight', 'codewords', 'the', 'weight', 'of', 'which', 'is', 'equal', 'to', 'd_m', 'for', 'ldpc', 'codes', 'one', 'existing', 'syndrome', 'decoding', 'method', 'called', 'serial', 'belief', 'propagation', 'bp', 'with', 'ordered', 'statistic', 'decoding', 'osd', 'is', 'adapted', 'to', 'serve', 'our', 'purpose', 'we', 'hold', 'the', 'conjecture', 'that', 'among', 'many', 'candidate', 'error', 'patterns', 'in', 'osd', 'reprocessing', 'modulo', '2', 'addition', 'of', 'the', 'lightest', 'error', 'pattern', 'with', 'one', 'of', 'the', 'left', 'error', 'patterns', 'may', 'generate', 'a', 'light', 'codeword', 'when', 'the', 'decoding', 'syndrome', 'changes', 'to', 'allzero', 'state', 'the', 'lightest', 'error', 'pattern', 'reduces', 'to', 'allzero', 'the', 'lightest', 'nonzero', 'error', 'pattern', 'is', 'a', 'valid', 'codeword', 'to', 'update', 'lightest', 'codeword', 'list', 'given', 'sufficient', 'codewords', 'sending', 'the', 'survived', 'lightest', 'codewords', 'are', 'likely', 'to', 'be', 'the', 'target', 'compared', 'with', 'existing', 'techniques', 'our', 'method', 'demonstrates', 'its', 'efficiency', 'in', 'the', 'simulation', 'of', 'several', 'interested', 'ldpc', 'codes']] | [-0.1847894905755917, 0.10519537175695101, -0.047125415246312814, 0.12064098091951261, -0.030620585946987074, -0.2905870458871747, 0.09946926211860652, 0.38112867005790274, -0.32046367511153223, -0.2710739464487415, 0.08038568940712139, -0.26450763902782154, -0.125257617412135, 0.13961091143079102, -0.12535981943830848, 0.127822691075271, 0.11531462178255121, 0.07948977662095179, -0.10796399424628665, -0.37160646174103024, 0.23065114673847953, 0.13882757206757865, 0.2556214552760745, -0.033724244497716424, 0.044635077919034906, 0.00618066213093698, 0.006779824223679801, -0.10966461244039237, -0.10264444709469292, 0.09957268785496126, 0.2886534053646028, 0.21916899569332599, 0.2176040415900449, -0.3285220397387942, -0.18486631282915672, 0.14812311347573995, 0.16393891674466432, 0.17275650046377752, -0.04012313673272729, -0.22976798656086128, 0.18892414875949423, -0.153372124992311, -0.040643881163947904, 0.0394001626681226, -0.029378726612776518, -0.02400897855288349, -0.3083911039059361, 0.053122765015189845, 0.03661295680173983, 0.02495947233090798, 0.00034073650759334367, -0.20609026594087482, 0.023833730006590486, 0.0921318016242003, 0.0840708839163805, 0.06700141636111463, 0.08728385656761627, -0.04042912054147261, -0.13950678086529175, 0.3598675245279446, 0.009610999471818408, -0.21760489260777832, 0.0711112318362575, -0.06385154584170474, -0.09647286146879196, 0.20555813473649323, 0.17595151613156002, 0.09468379284876088, -0.07925076739755847, 0.026021427936308707, -0.057780289128422736, 0.24340781254693866, 0.11686301643028855, 0.09942694824188948, 0.1866543569089845, 0.13581750137576212, 0.05236308059771545, 0.1627494759663629, -0.11448779788644363, -0.05369380358606577, -0.28323913474256796, -0.11267036025373575, -0.2059177281614393, -0.017248438802780583, -0.11643570355760555, -0.16072430666536092, 0.3926509776214759, 0.1709453809300127, 0.12438554652966559, 0.14084366620285438, 0.29683480472614365, 0.0014289111950589965, 0.08885751423270752, 0.15080261341917017, 0.17433560362784192, 0.17741581384131375, -0.017003663272286456, -0.23276839964324608, 0.11686735152363932, 0.11926289095543324] |
710.159 | Bohr's Theorem for Monogenic Power Series | The main goal of this paper is to generalize Bohr's phenomenon from complex
one-dimensional analysis to higher dimensions in the framework of Quaternionic
Analysis.
| math.CV | the main goal of this paper is to generalize bohrs phenomenon from complex onedimensional analysis to higher dimensions in the framework of quaternionic analysis | [['the', 'main', 'goal', 'of', 'this', 'paper', 'is', 'to', 'generalize', 'bohrs', 'phenomenon', 'from', 'complex', 'onedimensional', 'analysis', 'to', 'higher', 'dimensions', 'in', 'the', 'framework', 'of', 'quaternionic', 'analysis']] | [-0.0419568361248821, 0.023429803705463808, -0.09052674177413185, 0.06400662086283167, -0.08410060374687116, -0.10086060858642061, -0.009294209880560326, 0.29451722372323275, -0.2243720175077518, -0.2528014855148892, 0.0405751622505098, -0.25186965249789256, -0.28560006719393033, 0.1607225388288498, -0.16218595206737518, 0.03225347554932038, 0.008984244156939289, 0.01720734064777692, -0.07717808545567095, -0.20638824064129344, 0.42194967965284985, 0.05585006723049446, 0.2890424639141808, 0.056906891744195796, 0.003192152245901525, 0.029646702265987795, -0.05136621594040965, -0.020895282660300534, -0.1269017404410988, 0.2397622715604181, 0.2960792820279797, 0.11239744831497471, 0.28448626042033237, -0.3839854676431666, -0.21758303046226501, 0.12260235409485176, 0.16151847860601265, 0.11020742698262136, 0.06063382995004455, -0.29826485955466825, 0.0932587522159641, -0.12070457090158015, -0.2451867468189448, -0.04971366996566454, -0.02924262674059719, -0.06059792498126626, -0.1688818563707173, 0.097231914405711, 0.1782909551790605, 0.08517700938197474, -0.07340512028895319, -0.04918143339455128, 0.08228473407992472, 0.11735354860623677, 0.06453553970398691, 0.04497292354547729, 0.05344162852270529, -0.017034483986208215, -0.14282904014301798, 0.4002406519527237, -0.035151663391540446, -0.21263920127906508, 0.21762923368563256, -0.21157375703720996, -0.20759121423664814, 0.10983578616287559, 0.21049013029551134, 0.13194142646777132, -0.14604748614753285, 0.06878118073412527, -0.0962768659228459, 0.1405504668643213, 0.04326781661560138, -0.019501009684366483, 0.13568921257198477, 0.22799829568248242, 0.04998080952403446, 0.176326308088998, 0.02082771450902025, -0.177127490285784, -0.3380344561301172, -0.22041117027401924, -0.17613557621371, 0.08739254958345555, -0.030021771012494963, -0.0825419540827473, 0.4179154075682163, 0.21833987588373324, 0.1830884493732204, 0.02876947377808392, 0.3420066758990288, 0.1059148012039562, 0.010150219003359476, -0.028554944573746372, 0.17557601436662176, 0.22796681697946042, 0.14792105172333928, -0.14395614500972442, -0.058839650630640485, 0.1123048982117325] |
710.1591 | Dynamical chiral symmetry breaking in SU(N_{c}) gauge theories with
large number of fermion flavors | In this paper we examine a phase transition in $SU(N_{c})$ gauge theories
governed by the existence of an infrared fixed point of the renormalization
group $\beta$ function. The nonlinear integral Schwinger-Dyson equation for a
mass function of massless fermions is solved numerically using the exact
expression of the running coupling in two-loop approximation for an SU(3) gauge
theory. Based on the obtained solution of the Schwinger-Dyson equation, the
value of the chiral condensate, $<\bar{q}q>$, and the decay constant,
$f_{\pi}$, of bound states (mesons) are calculated for several values of
fermion flavors $N_{f}$. We show that this kind of phase transition is a
transition of finite order.
| hep-ph | in this paper we examine a phase transition in sun_c gauge theories governed by the existence of an infrared fixed point of the renormalization group beta function the nonlinear integral schwingerdyson equation for a mass function of massless fermions is solved numerically using the exact expression of the running coupling in twoloop approximation for an su3 gauge theory based on the obtained solution of the schwingerdyson equation the value of the chiral condensate barqq and the decay constant f_pi of bound states mesons are calculated for several values of fermion flavors n_f we show that this kind of phase transition is a transition of finite order | [['in', 'this', 'paper', 'we', 'examine', 'a', 'phase', 'transition', 'in', 'sun_c', 'gauge', 'theories', 'governed', 'by', 'the', 'existence', 'of', 'an', 'infrared', 'fixed', 'point', 'of', 'the', 'renormalization', 'group', 'beta', 'function', 'the', 'nonlinear', 'integral', 'schwingerdyson', 'equation', 'for', 'a', 'mass', 'function', 'of', 'massless', 'fermions', 'is', 'solved', 'numerically', 'using', 'the', 'exact', 'expression', 'of', 'the', 'running', 'coupling', 'in', 'twoloop', 'approximation', 'for', 'an', 'su3', 'gauge', 'theory', 'based', 'on', 'the', 'obtained', 'solution', 'of', 'the', 'schwingerdyson', 'equation', 'the', 'value', 'of', 'the', 'chiral', 'condensate', 'barqq', 'and', 'the', 'decay', 'constant', 'f_pi', 'of', 'bound', 'states', 'mesons', 'are', 'calculated', 'for', 'several', 'values', 'of', 'fermion', 'flavors', 'n_f', 'we', 'show', 'that', 'this', 'kind', 'of', 'phase', 'transition', 'is', 'a', 'transition', 'of', 'finite', 'order']] | [-0.1784812302003562, 0.24543196330849687, -0.12053189247424873, 0.07198672841153687, -0.034019807083444355, -0.09789264422208774, 0.06801360201986753, 0.3189197095146157, -0.15379180810150672, -0.22087680357771944, 0.03378253435729212, -0.30543821283949996, -0.1329681699752878, 0.07966811902039105, 0.09272657829459827, 0.09851441745998289, -0.01481994009743673, 0.06999525274062213, -0.1365491192818637, -0.21902756650387398, 0.3794902953240177, -0.07444590050727129, 0.23892725368012796, 0.10811176398804165, 0.09196048883176497, -0.008448869666471234, 0.03256325146956545, -0.057946066047012246, -0.15236530105292606, 0.02797153123977313, 0.20764312183458078, -0.0077767069846883695, 0.1866870571075025, -0.36044744212391244, -0.17502784142973568, 0.0684558354902415, 0.19458989663278017, 0.12051384159767965, -0.08253187125544327, -0.3081191068708475, 0.04913616370528339, -0.17374005470257955, -0.21941250770677864, -0.0821149090199538, -0.029320663957030705, -0.08232191168123258, -0.32669159284142674, 0.09202767075874123, -0.0875814354293189, 0.04232974009553216, -0.07779081775982566, -0.1559717533846368, -0.012710696508018475, 0.08903719065710902, 0.11713976122192898, 0.06743973190896213, 0.07687017412522351, -0.24672591128224014, -0.1044259471423432, 0.4135493654494156, -0.1337452199505554, -0.19311035493002185, 0.06857615437595842, -0.13305682880048342, -0.1356557490093247, 0.13380374249844057, 0.115365562182939, 0.16249219173969665, -0.15720816996862302, 0.20416784658973142, -0.06738050083436493, 0.17034043319647438, 0.065218314488928, 0.00967112878987671, 0.1655608731111125, 0.14534328541419697, 0.015120801234723261, 0.1043994609477385, 0.031159732457830238, -0.15245548478450696, -0.3960624865238678, -0.14035153932999028, -0.2049949868265891, 0.08919282922002855, -0.16153406690933, -0.19523926352519752, 0.383988857673446, 0.12350537185117884, 0.14810926119252196, 0.07211472931370702, 0.22765374603408897, 0.23801288431299464, 0.03410043838688717, 0.03517942953819655, 0.25686666015799176, 0.1977826249741791, 0.05697730639597998, -0.35001708731441844, -0.10197989382552651, 0.21513669690960702] |
710.1592 | Scale-free Segregation in Transport Networks | Every route of a transport network approaching equilibrium can be represented
by a vector of Euclidean space which length quantifies its segregation from the
rest of the graph. We have empirically observed that the distribution of
lengths over the edge connectivity in many transport networks exhibits scaling
invariance phenomenon. We give an example of the canal network of Veneice to
demonstrate our result. The method is applicable to any transport network.
| physics.soc-ph physics.data-an | every route of a transport network approaching equilibrium can be represented by a vector of euclidean space which length quantifies its segregation from the rest of the graph we have empirically observed that the distribution of lengths over the edge connectivity in many transport networks exhibits scaling invariance phenomenon we give an example of the canal network of veneice to demonstrate our result the method is applicable to any transport network | [['every', 'route', 'of', 'a', 'transport', 'network', 'approaching', 'equilibrium', 'can', 'be', 'represented', 'by', 'a', 'vector', 'of', 'euclidean', 'space', 'which', 'length', 'quantifies', 'its', 'segregation', 'from', 'the', 'rest', 'of', 'the', 'graph', 'we', 'have', 'empirically', 'observed', 'that', 'the', 'distribution', 'of', 'lengths', 'over', 'the', 'edge', 'connectivity', 'in', 'many', 'transport', 'networks', 'exhibits', 'scaling', 'invariance', 'phenomenon', 'we', 'give', 'an', 'example', 'of', 'the', 'canal', 'network', 'of', 'veneice', 'to', 'demonstrate', 'our', 'result', 'the', 'method', 'is', 'applicable', 'to', 'any', 'transport', 'network']] | [-0.18154724153823087, 0.10452291193339208, -0.13836422767490147, 0.021067454594387008, -0.007395947099264179, -0.10967239607458136, 0.037867045761751275, 0.39672976077667305, -0.33766646228198494, -0.27508222410189254, 0.051033817276558174, -0.25722800912335514, -0.21589065311210495, 0.17445171222789213, -0.04339136153659118, 0.04240211043423707, 0.058741982194728086, 0.06505310994107276, -0.02571758004903261, -0.2082779596846584, 0.31543280204225865, 0.029466340031025797, 0.3088112189334684, 0.07746595435642771, 0.10058358832528548, 0.011031432516340698, 0.029328484846545117, 0.07755374387031355, -0.11624681831589052, 0.13032967996384417, 0.19605154289830742, 0.14385924113116094, 0.239248043139066, -0.39926904380512757, -0.28624356650481264, 0.13565197294977094, 0.16127571400720625, 0.11613199316198006, 0.0083421875190522, -0.25827036881819365, 0.09068052393018401, -0.14798649206225362, -0.1266335693919765, -0.06089569442306778, 0.0042945700464770194, 0.015967089303636123, -0.23780971434898673, 0.0553385147026607, 0.06253546799666115, 0.03411111067980528, -0.03658031608876107, -0.07360451452301017, -0.05994095884463085, 0.18168019897171428, 0.021415402231338834, 0.05139585886416691, 0.14622199874221614, -0.10665808976627886, -0.1420484347468508, 0.3833108940294811, -0.05412711823924578, -0.1901311558145348, 0.1553950303367206, -0.129043639684096, -0.08488158251691078, 0.13143268477870151, 0.17682256704595473, 0.09507550830021501, -0.127823826590819, 0.043123143811577135, -0.10991158623780523, 0.1207320266802396, 0.04166572759526649, 0.039703057792836005, 0.17630570673250726, 0.2400401597776051, 0.11458702042416137, 0.1642749115159469, -0.1116528750397265, -0.08614606593868562, -0.2769165978234793, -0.161455775358315, -0.23951125610619783, 0.0720082915986755, -0.16058551726330603, -0.17562255391052792, 0.41197601673193274, 0.17955923047848046, 0.23641417204801526, 0.1082573909561948, 0.2265223376719015, 0.10419387376501359, 0.1010634123946407, 0.14126885668374597, 0.18999932209428932, 0.10888435455937205, 0.09347580699749025, -0.2203233998734504, 0.1326446743249627, 0.058963835891336205] |
710.1593 | Comment on: Inconsistency of the nonstandard definition of work | The objections raised by Vilar and Rubi [cond-mat arXiv:0707.3802v1] against
the definition of the thermodynamical work appearing in Jarzynski's equality
are shown to be misleading and inconsistent.
| cond-mat.stat-mech | the objections raised by vilar and rubi condmat arxiv07073802v1 against the definition of the thermodynamical work appearing in jarzynskis equality are shown to be misleading and inconsistent | [['the', 'objections', 'raised', 'by', 'vilar', 'and', 'rubi', 'condmat', 'arxiv07073802v1', 'against', 'the', 'definition', 'of', 'the', 'thermodynamical', 'work', 'appearing', 'in', 'jarzynskis', 'equality', 'are', 'shown', 'to', 'be', 'misleading', 'and', 'inconsistent']] | [-0.06720824233623436, 0.09361891040148643, -0.12328927197421972, 0.13299438228400853, -0.052696513979194254, -0.18349562406253356, 0.06496387490859398, 0.2284305222475758, -0.21136263394370103, -0.3177929946149771, 0.07250569561550108, -0.3151044367024532, -0.11348636014960133, 0.16244937921874225, -0.2130226495747383, 0.09556531415392573, -0.011068042546797257, -0.03315145737276627, -0.016522300886348464, -0.31365900801924557, 0.324261984644601, 0.10762029219991885, 0.24215599715423125, 0.15049982285843447, -0.00513930690403168, -0.021507520036091313, -0.10225922646574102, 0.09380554044261001, -0.16043559906001276, 0.0786940180696547, 0.2605980992890321, 0.14943991791313657, 0.24827492946776777, -0.381811753488504, -0.1726859828027395, 0.030853907112032175, 0.08897118659045261, 0.08680334182169575, 0.036592181073501706, -0.3427637540377103, 0.07512458530254662, -0.2013539197639777, -0.1454974538915289, -0.11349080454629774, 0.03866403177380562, -0.034386184926216416, -0.15431203965384227, 0.14358295027453166, 0.1650197472459135, 0.05777040926309732, -0.07229389406095904, -0.13766332590379393, -0.00815101032360242, 0.0021221053141814014, 0.14610236499888393, 0.00468333603706784, 0.08570911144264616, -0.056816166918277025, -0.10381669169650055, 0.3808534966351894, 0.024755216705111358, -0.1718188074703973, 0.13601959862101537, -0.08010444276106472, -0.16008298297842535, -0.036137888996073834, -0.013049383880570531, 0.0852950240055529, -0.1433130469925415, 0.10566348245349498, 0.007740847905202268, 0.07262888975226535, 0.16637505370622072, 0.005950999231292651, 0.2182012045612702, -0.009315772841756161, -0.06247296968761545, 0.13085308312348878, 0.09587217133957893, -0.12131492208796911, -0.2798651839391543, -0.13210809947206423, -0.17892697141863978, 0.07601644482033756, 0.025089111144412667, -0.10517805750602677, 0.27762034334815466, 0.260254712202228, 0.1669732311453957, 0.010728181500990804, 0.22107308795854735, 0.10812410850149508, -0.027858670944204696, 0.06657871016516136, 0.27988489631276864, 0.18616548475200453, 0.1018438649435456, -0.19223688231208003, 0.12145305326423393, 0.0630916348622682] |
710.1594 | Time Dilation and the Equivalence of Inertial Frames | It is well known that simultaneity within an inertial frame is defined in
relativity theory by a convention or definition. This definition leads to
different simultaneities across inertial frames and the well known principle of
relativity of simultaneity. The lack of a universal present implies the
existence of past, present and future as a collection of events on a four
dimensional manifold or continuum wherein three dimensions are space like and
one dimension is time like. However, such a continuum precludes the possibility
of evolution of future from the present as all events exist forever so to speak
on the continuum with the tenses past, present and future merely being
perceptions of different inertial frames. Such a far-reaching ontological
concept, created by a mere convention, is yet to gain full acceptance. In this
paper, we present arguments in favour of an absolute present, which means
simultaneous events are simultaneous in all inertial frames, and subscribe to
evolution of future from the present.
| physics.gen-ph | it is well known that simultaneity within an inertial frame is defined in relativity theory by a convention or definition this definition leads to different simultaneities across inertial frames and the well known principle of relativity of simultaneity the lack of a universal present implies the existence of past present and future as a collection of events on a four dimensional manifold or continuum wherein three dimensions are space like and one dimension is time like however such a continuum precludes the possibility of evolution of future from the present as all events exist forever so to speak on the continuum with the tenses past present and future merely being perceptions of different inertial frames such a farreaching ontological concept created by a mere convention is yet to gain full acceptance in this paper we present arguments in favour of an absolute present which means simultaneous events are simultaneous in all inertial frames and subscribe to evolution of future from the present | [['it', 'is', 'well', 'known', 'that', 'simultaneity', 'within', 'an', 'inertial', 'frame', 'is', 'defined', 'in', 'relativity', 'theory', 'by', 'a', 'convention', 'or', 'definition', 'this', 'definition', 'leads', 'to', 'different', 'simultaneities', 'across', 'inertial', 'frames', 'and', 'the', 'well', 'known', 'principle', 'of', 'relativity', 'of', 'simultaneity', 'the', 'lack', 'of', 'a', 'universal', 'present', 'implies', 'the', 'existence', 'of', 'past', 'present', 'and', 'future', 'as', 'a', 'collection', 'of', 'events', 'on', 'a', 'four', 'dimensional', 'manifold', 'or', 'continuum', 'wherein', 'three', 'dimensions', 'are', 'space', 'like', 'and', 'one', 'dimension', 'is', 'time', 'like', 'however', 'such', 'a', 'continuum', 'precludes', 'the', 'possibility', 'of', 'evolution', 'of', 'future', 'from', 'the', 'present', 'as', 'all', 'events', 'exist', 'forever', 'so', 'to', 'speak', 'on', 'the', 'continuum', 'with', 'the', 'tenses', 'past', 'present', 'and', 'future', 'merely', 'being', 'perceptions', 'of', 'different', 'inertial', 'frames', 'such', 'a', 'farreaching', 'ontological', 'concept', 'created', 'by', 'a', 'mere', 'convention', 'is', 'yet', 'to', 'gain', 'full', 'acceptance', 'in', 'this', 'paper', 'we', 'present', 'arguments', 'in', 'favour', 'of', 'an', 'absolute', 'present', 'which', 'means', 'simultaneous', 'events', 'are', 'simultaneous', 'in', 'all', 'inertial', 'frames', 'and', 'subscribe', 'to', 'evolution', 'of', 'future', 'from', 'the', 'present']] | [-0.12302584481886183, 0.12320124777775078, -0.08536870041334284, 0.05923873273603711, -0.0745916713972038, -0.09238488544414965, 0.02203396804882387, 0.36827110214540676, -0.24261143429910545, -0.31058143515440617, 0.10933624728010123, -0.22806586174696383, -0.110323925462106, 0.16585417751003034, -0.09989556674382748, 0.03037009903617342, 0.05782069592528415, 0.07109533011716623, -0.05376837127957701, -0.17726126961086108, 0.3448342226058106, 0.07495550379758666, 0.23928672349172997, 0.0068889244868830775, 0.12785987267906992, 0.03433216115320969, -0.07423916047544549, 0.0680415851310957, -0.07620058493980283, 0.11045550387815474, 0.24618768098515384, 0.19281886751844507, 0.3024061366290965, -0.4074629104655722, -0.23880118858184873, 0.08589817837650038, 0.11241959882842273, 0.1257381463157279, -0.029253398538248973, -0.28657008673972595, 0.03972513998586754, -0.17774650401447362, -0.13305166330165374, -0.05627090648259181, 0.064298963411393, 0.008244108266243421, -0.21428624044247666, 0.09746343494965608, 0.08210131591757158, 0.08750873837643158, -0.06536891030094164, -0.06347750220881625, 0.03382156077506287, 0.14198158471772782, 0.07722874663723922, 0.02307292743823173, 0.1008601160958606, -0.0733056880036309, -0.16334800355234733, 0.44977171306920627, -0.031951162614136566, -0.1791631013895414, 0.23066062840050294, -0.16375751689984608, -0.0883879528687515, 0.07220239666784442, 0.1473460397524007, 0.12583323155952073, -0.15382701345366537, 0.05105258747233911, -0.04340922372612339, 0.15084661084432618, 0.08397068383652277, 0.10080491270152678, 0.26961663879616105, 0.16400730203814018, 0.06265853237221886, 0.06343087151079722, -0.05754097817888753, -0.0899237998159637, -0.3836726884571662, -0.1795816123427719, -0.13118472587323013, 0.0661836161729388, -0.027332712304962783, -0.1603192213101324, 0.3507892770941444, 0.1650644076611378, 0.2152897381232415, 0.04420185612528354, 0.27674704938201433, 0.05145357769439633, 0.06470727444241714, 0.042573963286158464, 0.2876426251084538, 0.04591949267012085, 0.1215533432868882, -0.12501471051881205, 0.036738935936103514, 0.0628294865282611] |
710.1595 | Analysis of Fixed Outage Transmission Schemes: A Finer Look at the Full
Multiplexing Point | This paper studies the performance of transmission schemes that have rate
that increases with average SNR while maintaining a fixed outage probability.
This is in contrast to the classical Zheng-Tse diversity-multiplexing tradeoff
(DMT) that focuses on increasing rate and decreasing outage probability. Three
different systems are explored: antenna diversity systems, time/frequency
diversity systems, and automatic repeat request (ARQ) systems. In order to
accurately study performance in the fixed outage setting, it is necesary to go
beyond the coarse, asymptotic multiplexing gain metric. In the case of antenna
diversity and time/frequency diversity, an affine approximation to high SNR
outage capacity (i.e., multiplexing gain plus a power/rate offset) accurately
describes performance and shows the very significant benefits of diversity. ARQ
is also seen to provide a significant performance advantage, but even an affine
approximation to outage capacity is unable to capture this advantage and outage
capacity must be directly studied in the non-asymptotic regime.
| cs.IT math.IT | this paper studies the performance of transmission schemes that have rate that increases with average snr while maintaining a fixed outage probability this is in contrast to the classical zhengtse diversitymultiplexing tradeoff dmt that focuses on increasing rate and decreasing outage probability three different systems are explored antenna diversity systems timefrequency diversity systems and automatic repeat request arq systems in order to accurately study performance in the fixed outage setting it is necesary to go beyond the coarse asymptotic multiplexing gain metric in the case of antenna diversity and timefrequency diversity an affine approximation to high snr outage capacity ie multiplexing gain plus a powerrate offset accurately describes performance and shows the very significant benefits of diversity arq is also seen to provide a significant performance advantage but even an affine approximation to outage capacity is unable to capture this advantage and outage capacity must be directly studied in the nonasymptotic regime | [['this', 'paper', 'studies', 'the', 'performance', 'of', 'transmission', 'schemes', 'that', 'have', 'rate', 'that', 'increases', 'with', 'average', 'snr', 'while', 'maintaining', 'a', 'fixed', 'outage', 'probability', 'this', 'is', 'in', 'contrast', 'to', 'the', 'classical', 'zhengtse', 'diversitymultiplexing', 'tradeoff', 'dmt', 'that', 'focuses', 'on', 'increasing', 'rate', 'and', 'decreasing', 'outage', 'probability', 'three', 'different', 'systems', 'are', 'explored', 'antenna', 'diversity', 'systems', 'timefrequency', 'diversity', 'systems', 'and', 'automatic', 'repeat', 'request', 'arq', 'systems', 'in', 'order', 'to', 'accurately', 'study', 'performance', 'in', 'the', 'fixed', 'outage', 'setting', 'it', 'is', 'necesary', 'to', 'go', 'beyond', 'the', 'coarse', 'asymptotic', 'multiplexing', 'gain', 'metric', 'in', 'the', 'case', 'of', 'antenna', 'diversity', 'and', 'timefrequency', 'diversity', 'an', 'affine', 'approximation', 'to', 'high', 'snr', 'outage', 'capacity', 'ie', 'multiplexing', 'gain', 'plus', 'a', 'powerrate', 'offset', 'accurately', 'describes', 'performance', 'and', 'shows', 'the', 'very', 'significant', 'benefits', 'of', 'diversity', 'arq', 'is', 'also', 'seen', 'to', 'provide', 'a', 'significant', 'performance', 'advantage', 'but', 'even', 'an', 'affine', 'approximation', 'to', 'outage', 'capacity', 'is', 'unable', 'to', 'capture', 'this', 'advantage', 'and', 'outage', 'capacity', 'must', 'be', 'directly', 'studied', 'in', 'the', 'nonasymptotic', 'regime']] | [-0.24131724557111545, -0.0069675253276691605, -0.06013945314342415, 0.06768245441879189, -0.03341036568247769, -0.2248624289186289, 0.16499375049965395, 0.4221339411293434, -0.23112501965724672, -0.23814853705120403, 0.05195930643956985, -0.26545506726876394, -0.16965287021941056, 0.13883760407419, -0.19766175252807924, 0.0658850386455063, 0.04135639475973089, 0.0628665563519751, -0.07468842449505499, -0.3097687776305324, 0.245736756053636, 0.19845461280436705, 0.40632923958909434, 0.03754989515576783, 0.07610238592035526, -0.024132307116261225, 0.025918923050091164, -0.00910352569209128, -0.10809885425756598, 0.046921029881210316, 0.3723524066045979, 0.20204253852466084, 0.2745560935316052, -0.3209356567606527, -0.2977133881707756, 0.09985131811233398, 0.24579330484709697, 0.03792185713660391, -0.0484441113665959, -0.23457794826607287, 0.10328321565260234, -0.2591572655549902, -0.04373407344771734, -0.014450023649260402, -0.06760801219486243, 0.06881400703534249, -0.305888206050392, 0.03281686797761975, 0.03756514974308527, 0.053855613706670455, -0.027992972572155248, -0.11529361585537527, 0.058183769599090496, 0.205072071341588, 0.05510658322060974, -0.01396939149650665, 0.059308257223598795, -0.07097435570692039, -0.06895493003632257, 0.36756574059065605, -0.019780918185611483, -0.25104607039729493, 0.167854687661574, -0.18007199830739506, -0.08077907814302741, 0.24830400173410477, 0.24945926366509585, 0.017647050148406566, -0.1716127067940026, 0.028989939878321568, 0.053369838287992195, 0.23146182467655235, 0.11985345488562194, 0.16953382692114752, 0.1338023206015543, 0.22010383754506066, 0.10841144375435219, 0.13214054350226204, -0.10125625799471723, -0.14227192371540906, -0.1709155686591314, -0.12716606690140522, -0.1747625204287346, 0.017971324350065026, -0.14954808180400445, -0.06809004670200215, 0.3121283012034163, 0.14736967457385908, 0.10184421130634894, 0.20037079642801267, 0.4139320518796807, 0.13607996000926817, 0.017781180289530792, 0.09232944017584553, 0.22672596092209443, 0.08238578845888672, 0.08922588102834064, -0.25672358137536916, 0.09229950429810001, 0.007948917216491817] |
710.1596 | Transformations of Markov Processes and Classification Scheme for
Solvable Driftless Diffusions | We propose a new classification scheme for diffusion processes for which the
backward Kolmogorov equation is solvable in analytically closed form by
reduction to hypergeometric equations of the Gaussian or confluent type. The
construction makes use of transformations of diffusion processes to eliminate
the drift which combine a measure change given by Doob's h-transform and a
diffeomorphism. Such transformations have the important property of preserving
analytic solvability of the process: the transition probability density for the
driftless process can be expressed through the transition probability density
of original process. We also make use of tools from the theory of ordinary
differential equations such as Liouville transformations, canonical forms and
Bose invariants. Beside recognizing all analytically solvable diffusion process
known in the previous literature fall into this scheme and we also discover
rich new families of analytically solvable processes.
| math.PR math.FA | we propose a new classification scheme for diffusion processes for which the backward kolmogorov equation is solvable in analytically closed form by reduction to hypergeometric equations of the gaussian or confluent type the construction makes use of transformations of diffusion processes to eliminate the drift which combine a measure change given by doobs htransform and a diffeomorphism such transformations have the important property of preserving analytic solvability of the process the transition probability density for the driftless process can be expressed through the transition probability density of original process we also make use of tools from the theory of ordinary differential equations such as liouville transformations canonical forms and bose invariants beside recognizing all analytically solvable diffusion process known in the previous literature fall into this scheme and we also discover rich new families of analytically solvable processes | [['we', 'propose', 'a', 'new', 'classification', 'scheme', 'for', 'diffusion', 'processes', 'for', 'which', 'the', 'backward', 'kolmogorov', 'equation', 'is', 'solvable', 'in', 'analytically', 'closed', 'form', 'by', 'reduction', 'to', 'hypergeometric', 'equations', 'of', 'the', 'gaussian', 'or', 'confluent', 'type', 'the', 'construction', 'makes', 'use', 'of', 'transformations', 'of', 'diffusion', 'processes', 'to', 'eliminate', 'the', 'drift', 'which', 'combine', 'a', 'measure', 'change', 'given', 'by', 'doobs', 'htransform', 'and', 'a', 'diffeomorphism', 'such', 'transformations', 'have', 'the', 'important', 'property', 'of', 'preserving', 'analytic', 'solvability', 'of', 'the', 'process', 'the', 'transition', 'probability', 'density', 'for', 'the', 'driftless', 'process', 'can', 'be', 'expressed', 'through', 'the', 'transition', 'probability', 'density', 'of', 'original', 'process', 'we', 'also', 'make', 'use', 'of', 'tools', 'from', 'the', 'theory', 'of', 'ordinary', 'differential', 'equations', 'such', 'as', 'liouville', 'transformations', 'canonical', 'forms', 'and', 'bose', 'invariants', 'beside', 'recognizing', 'all', 'analytically', 'solvable', 'diffusion', 'process', 'known', 'in', 'the', 'previous', 'literature', 'fall', 'into', 'this', 'scheme', 'and', 'we', 'also', 'discover', 'rich', 'new', 'families', 'of', 'analytically', 'solvable', 'processes']] | [-0.08882795597521076, 0.09933577486705306, -0.10091621255961017, 0.09593789493084078, -0.09845926770872936, -0.1504595241462137, 0.03904934577303061, 0.321795664039319, -0.34741771148274775, -0.23569636255421716, 0.0894722187253849, -0.25405455724272097, -0.1884165187433794, 0.16867523387148706, -0.03093001131808547, 0.09143602066551862, 0.016409956021706803, 0.03398729202782978, -0.09516071223491884, -0.2242027025423485, 0.3495157091554416, -0.009811971255618593, 0.257087042744177, -0.005235055977802562, 0.15769864745654058, 0.005535899232938022, -0.0381533674882266, -0.024920064191657886, -0.16276573519850068, 0.07700966661154846, 0.25386674437280476, 0.1280610947802231, 0.21662143982298995, -0.40302437116000533, -0.22847461434687738, 0.09480594427652145, 0.17805062378149317, 0.11254775428138944, -0.03691774435456086, -0.30005260237047204, 0.011462705461135425, -0.1668358962085314, -0.17800330474932233, -0.11309176262981002, 0.03079741571665458, 0.053972328522080636, -0.26737802125095134, 0.11427084923058789, 0.11703161713734701, 0.02346732526783181, -0.04578647315772115, -0.06017840587520513, 0.005155927076449861, 0.11044342661836604, 0.010230512986115924, -0.03333108422035972, 0.1074794924757241, -0.1068199815724612, -0.1283394685445313, 0.360219182541081, -0.08790595339530188, -0.26778973835905123, 0.1611143642710859, -0.12526214522296103, -0.1707776786347824, 0.18154815859431267, 0.1604362484675063, 0.13642925821393187, -0.20040710943251633, 0.13062851720673463, -0.017593799990709817, 0.07242331264601291, 0.08253004432966311, 0.0006226190244374068, 0.11507938099363683, 0.11599972616143835, 0.06125461173655492, 0.15367429152357162, 0.011746513464933505, -0.15745322380984283, -0.33633438884483086, -0.20479100128906555, -0.11531798594217474, 0.09576677292774337, -0.07874051605630075, -0.19617738983040486, 0.34978885146251676, 0.13735257072266246, 0.16434811677216835, 0.09195948245536968, 0.2386128118943315, 0.2288229422250668, 0.039498854167438854, 0.03636964168770752, 0.1415614786328397, 0.18164732719879542, 0.053096417216179165, -0.1920104531429546, 0.07518177105078433, 0.1510061154688668] |
710.1597 | Borel-Carath\'{e}odory Type Theorem for monogenic functions | In this paper we give a generalization of the classical
Borel-Carath\'{e}odory Theorem in complex analysis to higher dimensions in the
framework of Quaternionic Analysis.
| math.CV | in this paper we give a generalization of the classical borelcaratheodory theorem in complex analysis to higher dimensions in the framework of quaternionic analysis | [['in', 'this', 'paper', 'we', 'give', 'a', 'generalization', 'of', 'the', 'classical', 'borelcaratheodory', 'theorem', 'in', 'complex', 'analysis', 'to', 'higher', 'dimensions', 'in', 'the', 'framework', 'of', 'quaternionic', 'analysis']] | [-0.0847696119453758, -0.014408639282919466, -0.1353599779928724, 0.08553088438444927, -0.027030841602633398, -0.08095919641588505, 0.03688176904203525, 0.25354057426253956, -0.20163716406871876, -0.2633556039072573, 0.06866606981687558, -0.20585374798004827, -0.28018661223662394, 0.19915618685384592, -0.14871056544749686, -0.017224344133865088, 0.02596012099335591, 0.04226454378416141, -0.12255799223203212, -0.23312357297011962, 0.34012350405100733, 0.004998058779165149, 0.2611025246636321, 0.09018929667460422, 0.03298956130068594, 0.07720091426745057, -0.08250984012071665, -0.0076662163871030016, -0.1444284210059171, 0.22813558438792825, 0.2903817199015369, 0.09538852848345414, 0.26337118291606504, -0.38141609511027735, -0.19996689432688677, 0.1553572448901832, 0.13825630200638747, 0.09604387974832207, 0.019229505987217028, -0.26475041763236123, 0.132636750000529, -0.1575939534814097, -0.21565993999441466, -0.1137808271838973, -0.03530106134712696, -0.0708995145590355, -0.19455711217597127, 0.13696607229455063, 0.20136377642241618, 0.11702665368708647, -0.07838249431612591, -0.03754480121036371, 0.09208052112565686, 0.04429903803005194, 0.018799340119585395, 0.019824905747858185, 0.017121576296631247, -0.08015642609097995, -0.1511325299118956, 0.35882929526269436, -0.08079746811805914, -0.26395043994610506, 0.16060419551407298, -0.1760893906466663, -0.2543465519944827, 0.04676854470744729, 0.25078323180787265, 0.1650655148550868, -0.10555266006849706, 0.11747777690955748, -0.1203401597449556, 0.08971270515273015, 0.08453265686209004, 0.03375708571790407, 0.07725122933819269, 0.18206561096788695, 0.06222398090176284, 0.20417626264194647, 0.001791101647540927, -0.15350594262902936, -0.32837514532729983, -0.26111312257125974, -0.10137635805100824, 0.11128508960246108, -0.12204298260621727, -0.17534815799444914, 0.4333651003738244, 0.15838803062554993, 0.16049707785714418, 0.0683548340651517, 0.314081647588561, 0.12566632979239026, 0.019966393170761876, 0.010111371132855615, 0.19060917648797235, 0.20599203968110183, 0.15254791119756797, -0.08015194151569933, -0.10662285195818792, 0.15047115196163455] |
710.1598 | Classification of the Weyl Tensor in Higher Dimensions and Applications | We review the theory of alignment in Lorentzian geometry and apply it to the
algebraic classification of the Weyl tensor in higher dimensions. This
classification reduces to the the well-known Petrov classification of the Weyl
tensor in four dimensions. We discuss the algebraic classification of a number
of known higher dimensional spacetimes. There are many applications of the Weyl
classification scheme, especially in conjunction with the higher dimensional
frame formalism that has been developed in order to generalize the four
dimensional Newman--Penrose formalism. For example, we discuss higher
dimensional generalizations of the Goldberg-Sachs theorem and the Peeling
theorem. We also discuss the higher dimensional Lorentzian spacetimes with
vanishing scalar curvature invariants and constant scalar curvature invariants,
which are of interest since they are solutions of supergravity theory.
| gr-qc hep-th | we review the theory of alignment in lorentzian geometry and apply it to the algebraic classification of the weyl tensor in higher dimensions this classification reduces to the the wellknown petrov classification of the weyl tensor in four dimensions we discuss the algebraic classification of a number of known higher dimensional spacetimes there are many applications of the weyl classification scheme especially in conjunction with the higher dimensional frame formalism that has been developed in order to generalize the four dimensional newmanpenrose formalism for example we discuss higher dimensional generalizations of the goldbergsachs theorem and the peeling theorem we also discuss the higher dimensional lorentzian spacetimes with vanishing scalar curvature invariants and constant scalar curvature invariants which are of interest since they are solutions of supergravity theory | [['we', 'review', 'the', 'theory', 'of', 'alignment', 'in', 'lorentzian', 'geometry', 'and', 'apply', 'it', 'to', 'the', 'algebraic', 'classification', 'of', 'the', 'weyl', 'tensor', 'in', 'higher', 'dimensions', 'this', 'classification', 'reduces', 'to', 'the', 'the', 'wellknown', 'petrov', 'classification', 'of', 'the', 'weyl', 'tensor', 'in', 'four', 'dimensions', 'we', 'discuss', 'the', 'algebraic', 'classification', 'of', 'a', 'number', 'of', 'known', 'higher', 'dimensional', 'spacetimes', 'there', 'are', 'many', 'applications', 'of', 'the', 'weyl', 'classification', 'scheme', 'especially', 'in', 'conjunction', 'with', 'the', 'higher', 'dimensional', 'frame', 'formalism', 'that', 'has', 'been', 'developed', 'in', 'order', 'to', 'generalize', 'the', 'four', 'dimensional', 'newmanpenrose', 'formalism', 'for', 'example', 'we', 'discuss', 'higher', 'dimensional', 'generalizations', 'of', 'the', 'goldbergsachs', 'theorem', 'and', 'the', 'peeling', 'theorem', 'we', 'also', 'discuss', 'the', 'higher', 'dimensional', 'lorentzian', 'spacetimes', 'with', 'vanishing', 'scalar', 'curvature', 'invariants', 'and', 'constant', 'scalar', 'curvature', 'invariants', 'which', 'are', 'of', 'interest', 'since', 'they', 'are', 'solutions', 'of', 'supergravity', 'theory']] | [-0.14968344917535548, 0.0905335340722222, -0.04188720424481719, 0.07440772103640712, -0.09776734622510692, -0.1785413403995335, -0.08089185494555556, 0.3160716269539273, -0.17934835320851933, -0.24033558919043171, 0.10871430386616812, -0.24376369465333153, -0.2086457652516487, 0.16656617532432902, -0.10023331430219994, 0.030541519946088707, -0.014559432123531037, 0.10998725556717144, -0.1614741761426214, -0.33412269739008793, 0.40099762497455116, 0.0012988791999033117, 0.3078990229148799, 0.047528039438532683, 0.09712668894020123, 0.004248357854607537, -0.05916141131416139, 0.07872449640389972, -0.1456870416669825, 0.14344481001681406, 0.2808524431316109, 0.07348719638713642, 0.17948260808026228, -0.3678951059930085, -0.2530670370393264, 0.08643617183355043, 0.12168128392109134, 0.16244077986641603, 0.0016967321592053092, -0.2761037084457325, 0.1089779773037734, -0.18701934914368637, -0.18461096847056793, -0.1450944345327109, -0.004284731948410902, -0.08067342390372294, -0.15736542794281455, 0.09949270963799905, 0.1040400724003722, 0.042737126027739894, -0.11263042911667172, -0.09956195610795375, -0.03477345497574745, 0.07008095710413663, 0.10608742073339623, -0.015374484459143571, 0.03775882214219786, -0.1383349848893406, -0.18370105385758334, 0.3662186515495533, -0.058231459392462014, -0.25477929174254726, 0.20456276243684565, -0.14431082853299426, -0.17365679877450851, 0.07049024132938367, 0.17534218244914582, 0.1754350414807637, -0.07511686124127563, 0.1735616702880659, -0.0065188681171459, 0.04501203476913332, 0.15592988046238154, 0.03653030698444313, 0.16243632663936008, 0.08323866813113605, 0.035850703114035036, 0.14631838776816533, -0.053813778428639485, -0.09390425615243643, -0.36094876838111, -0.23033685805822593, -0.14493008428729895, 0.10577318858443283, -0.1700998521626489, -0.17973007983344746, 0.41462146144599893, 0.1176943076718562, 0.14362593213789254, 0.059810219480157426, 0.2617908312286448, 0.12240005519211762, 0.07240754581701861, 0.06324189648354851, 0.24784461520685572, 0.22796632093560742, 0.09722640033166005, -0.13856676151227998, -0.12248168000584747, 0.1739518532720138] |
710.1599 | Laplace Transforms for Integrals of Markov Processes | Laplace transforms for integrals of stochastic processes have been known in
analytically closed form for just a handful of Markov processes: namely, the
Ornstein-Uhlenbeck, the Cox-Ingerssol-Ross (CIR) process and the exponential of
Brownian motion. In virtue of their analytical tractability, these processes
are extensively used in modelling applications. In this paper, we construct
broad extensions of these process classes. We show how the known models fit
into a classification scheme for diffusion processes for which Laplace
transforms for integrals of the diffusion processes and transitional
probability densities can be evaluated as integrals of hypergeometric functions
against the spectral measure for certain self-adjoint operators. We also extend
this scheme to a class of finite-state Markov processes related to
hypergeometric polynomials in the discrete series of the Askey classification
tree.
| math.PR math.FA | laplace transforms for integrals of stochastic processes have been known in analytically closed form for just a handful of markov processes namely the ornsteinuhlenbeck the coxingerssolross cir process and the exponential of brownian motion in virtue of their analytical tractability these processes are extensively used in modelling applications in this paper we construct broad extensions of these process classes we show how the known models fit into a classification scheme for diffusion processes for which laplace transforms for integrals of the diffusion processes and transitional probability densities can be evaluated as integrals of hypergeometric functions against the spectral measure for certain selfadjoint operators we also extend this scheme to a class of finitestate markov processes related to hypergeometric polynomials in the discrete series of the askey classification tree | [['laplace', 'transforms', 'for', 'integrals', 'of', 'stochastic', 'processes', 'have', 'been', 'known', 'in', 'analytically', 'closed', 'form', 'for', 'just', 'a', 'handful', 'of', 'markov', 'processes', 'namely', 'the', 'ornsteinuhlenbeck', 'the', 'coxingerssolross', 'cir', 'process', 'and', 'the', 'exponential', 'of', 'brownian', 'motion', 'in', 'virtue', 'of', 'their', 'analytical', 'tractability', 'these', 'processes', 'are', 'extensively', 'used', 'in', 'modelling', 'applications', 'in', 'this', 'paper', 'we', 'construct', 'broad', 'extensions', 'of', 'these', 'process', 'classes', 'we', 'show', 'how', 'the', 'known', 'models', 'fit', 'into', 'a', 'classification', 'scheme', 'for', 'diffusion', 'processes', 'for', 'which', 'laplace', 'transforms', 'for', 'integrals', 'of', 'the', 'diffusion', 'processes', 'and', 'transitional', 'probability', 'densities', 'can', 'be', 'evaluated', 'as', 'integrals', 'of', 'hypergeometric', 'functions', 'against', 'the', 'spectral', 'measure', 'for', 'certain', 'selfadjoint', 'operators', 'we', 'also', 'extend', 'this', 'scheme', 'to', 'a', 'class', 'of', 'finitestate', 'markov', 'processes', 'related', 'to', 'hypergeometric', 'polynomials', 'in', 'the', 'discrete', 'series', 'of', 'the', 'askey', 'classification', 'tree']] | [-0.0687234875650739, 0.07917961376301182, -0.08165808110754555, 0.13430162404373855, -0.07319381784860367, -0.10358159914686102, 0.0447041238410633, 0.40788715840940637, -0.3241418348111975, -0.19967852271799966, 0.1280886718763156, -0.22941751307606198, -0.1648183596214118, 0.22912701855112952, -0.05572265646911747, 0.13559664088470025, 0.026811359749050943, 0.005194491552790319, -0.044295843793299254, -0.22735628347814552, 0.3249874945407308, -0.009448351272506508, 0.19991217673880848, -0.0067954603637619985, 0.11253074676854403, -0.009343853154344352, -0.061468682996195366, -0.08330516430629989, -0.12749284719974976, 0.09115255502690597, 0.27610314461003505, 0.10538572807590968, 0.24274307799224895, -0.39488317488920033, -0.24794035938047754, 0.1450764202333136, 0.20317266465281136, 0.02894472346116796, -0.007406267025837983, -0.2974170514815084, 0.009022150834010341, -0.1865336595645805, -0.14224537510395519, -0.12973240163089253, 0.03052570623268674, 0.10366249201621303, -0.31599881373873845, 0.07924894624234793, 0.11025146573899298, 0.032335608821787584, -0.06162159315376418, -0.14163919551826015, 0.040755031531397985, 0.09687535307098796, 0.030394405563444214, -0.07520908954751304, 0.09128130620389473, -0.11334264100580586, -0.1977719527075258, 0.3249664893832175, -0.07076969978813903, -0.27978534562381235, 0.1695600584457357, -0.16832402476850222, -0.20348342997571967, 0.1492034825386377, 0.19950472378707307, 0.18314370312397993, -0.22817248438748963, 0.11886887229506043, -0.00513976652497851, 0.04487352344522795, 0.07154351438755008, 0.01907461278111212, 0.12792535481138492, 0.11662103538951418, 0.010925621866783876, 0.18004342454841257, -0.030179614407435704, -0.19411558095424428, -0.3193003680809322, -0.19343041705598277, -0.14257053738917355, 0.04820345580123189, -0.10626394066966036, -0.2243527241901854, 0.393852151589508, 0.13581693774881207, 0.18596846471709294, 0.11686299749243066, 0.22048474766871357, 0.2287313813466476, 0.03731533432449031, 0.04362397442504674, 0.11018053212250752, 0.18329770656625236, 0.07055997559947409, -0.13906979381920784, 0.09098854618821675, 0.12485734303665208] |
710.16 | Neutronization During Type Ia Supernova Simmering | Prior to the incineration of a white dwarf (WD) that makes a Type Ia
supernova (SN Ia), the star "simmers" for ~1000 years in a convecting, carbon
burning region. We have found that weak interactions during this time increase
the neutron excess by an amount that depends on the total quantity of carbon
burned prior to the explosion. This contribution is in addition to the
metallicity (Z) dependent neutronization through the 22Ne abundance (as studied
by Timmes, Brown, & Truran). The main consequence is that we expect a floor to
the level of neutronization that dominates over the metallicity contribution
when Z/Z_\odot<2/3, and it can be important for even larger metallicities if
substantial energy is lost to neutrinos via the convective Urca process. This
would mask any correlations between SN Ia properties and galactic environments
at low metallicities. In addition, we show that recent observations of the
dependences of SNe Ia on galactic environments make it clear that metallicity
alone cannot provide for the full observed diversity of events.
| astro-ph | prior to the incineration of a white dwarf wd that makes a type ia supernova sn ia the star simmers for 1000 years in a convecting carbon burning region we have found that weak interactions during this time increase the neutron excess by an amount that depends on the total quantity of carbon burned prior to the explosion this contribution is in addition to the metallicity z dependent neutronization through the 22ne abundance as studied by timmes brown truran the main consequence is that we expect a floor to the level of neutronization that dominates over the metallicity contribution when zz_odot23 and it can be important for even larger metallicities if substantial energy is lost to neutrinos via the convective urca process this would mask any correlations between sn ia properties and galactic environments at low metallicities in addition we show that recent observations of the dependences of sne ia on galactic environments make it clear that metallicity alone cannot provide for the full observed diversity of events | [['prior', 'to', 'the', 'incineration', 'of', 'a', 'white', 'dwarf', 'wd', 'that', 'makes', 'a', 'type', 'ia', 'supernova', 'sn', 'ia', 'the', 'star', 'simmers', 'for', '1000', 'years', 'in', 'a', 'convecting', 'carbon', 'burning', 'region', 'we', 'have', 'found', 'that', 'weak', 'interactions', 'during', 'this', 'time', 'increase', 'the', 'neutron', 'excess', 'by', 'an', 'amount', 'that', 'depends', 'on', 'the', 'total', 'quantity', 'of', 'carbon', 'burned', 'prior', 'to', 'the', 'explosion', 'this', 'contribution', 'is', 'in', 'addition', 'to', 'the', 'metallicity', 'z', 'dependent', 'neutronization', 'through', 'the', '22ne', 'abundance', 'as', 'studied', 'by', 'timmes', 'brown', 'truran', 'the', 'main', 'consequence', 'is', 'that', 'we', 'expect', 'a', 'floor', 'to', 'the', 'level', 'of', 'neutronization', 'that', 'dominates', 'over', 'the', 'metallicity', 'contribution', 'when', 'zz_odot23', 'and', 'it', 'can', 'be', 'important', 'for', 'even', 'larger', 'metallicities', 'if', 'substantial', 'energy', 'is', 'lost', 'to', 'neutrinos', 'via', 'the', 'convective', 'urca', 'process', 'this', 'would', 'mask', 'any', 'correlations', 'between', 'sn', 'ia', 'properties', 'and', 'galactic', 'environments', 'at', 'low', 'metallicities', 'in', 'addition', 'we', 'show', 'that', 'recent', 'observations', 'of', 'the', 'dependences', 'of', 'sne', 'ia', 'on', 'galactic', 'environments', 'make', 'it', 'clear', 'that', 'metallicity', 'alone', 'can', 'not', 'provide', 'for', 'the', 'full', 'observed', 'diversity', 'of', 'events']] | [-0.04438984618260118, 0.16248564177945962, -0.053000355868887516, 0.13186254187716978, -0.10016534522016851, -0.046512146597493906, 0.12013880077827566, 0.39935578979150266, -0.2013570760712404, -0.30251259461022956, 0.01786674634472629, -0.2932979217702579, -0.05471205655596927, 0.194374712536803, -0.07599650684365596, -0.09840900087129592, 0.14015897192774776, -0.035947977937653405, -0.08615051970878493, -0.32617870622947476, 0.32730218641526865, 0.11141519883123344, 0.19683899170535055, 0.02327011662262107, 0.0609837545480713, -0.11093216758740028, -0.023813087297993862, -0.056606556891190436, -0.14800578966738712, -0.016439334560509125, 0.24523236587461333, 0.16200788556124102, 0.2045842366750369, -0.383494414171639, -0.2952180352761873, 0.14972054027857448, 0.20093724133257201, 0.08371272356901875, -0.10035059275872403, -0.19837137464082572, 0.09573066011517348, -0.2222631161831721, -0.11971387640478279, 0.07015965433727146, 0.05379726984510254, 0.037033470093780115, -0.25200274265176076, 0.13888405501552506, 0.06705719733354218, 0.03585551382449573, -0.06376493756497602, -0.12195285420703093, -0.07467208404796655, 0.05535519306745219, 0.04806144698505557, 0.028170590023517128, 0.10942029658270007, -0.12426291112955325, 0.04565796125150414, 0.39658663465124194, -0.10315085996310422, -0.015179812840554127, 0.20716396733159256, -0.18167517891343304, -0.13854299846501228, 0.13656125446881898, 0.16306787797857722, 0.0942264199870343, -0.1872180584853154, -0.0035746512133948793, 0.007264362229870822, 0.18284904772923244, 0.03811882123975697, 0.04650634578151195, 0.27427391779837673, 0.16774342729083352, 0.068749674421618, 0.029889441473816638, -0.20715937653311087, -0.020471909151567304, -0.256017358892759, -0.13102151146772023, -0.12866267330197248, 0.1370959589175056, -0.12176709922646105, -0.12696659529838197, 0.30095863761659153, 0.12883540880336555, 0.20827797452311317, -0.01093500999672461, 0.3003848203943072, 0.08182608983814046, 0.11723645014164155, 0.0771100650524754, 0.3286294678266545, 0.18249031471110835, 0.12407405404192758, -0.2604824814507682, 0.16908782939803033, 0.001170365615262689] |
710.1601 | The Horsehead mane: Towards an observational benchmark for chemical
models | After a discussion about the need for observational benchmark for chemical
models, we explain 1) why the Horsehead western edge is well suited to serve as
reference for models and 2) the steps we are taking toward this goal. We
summarize abundances obtained to date and we show recent results.
| astro-ph | after a discussion about the need for observational benchmark for chemical models we explain 1 why the horsehead western edge is well suited to serve as reference for models and 2 the steps we are taking toward this goal we summarize abundances obtained to date and we show recent results | [['after', 'a', 'discussion', 'about', 'the', 'need', 'for', 'observational', 'benchmark', 'for', 'chemical', 'models', 'we', 'explain', '1', 'why', 'the', 'horsehead', 'western', 'edge', 'is', 'well', 'suited', 'to', 'serve', 'as', 'reference', 'for', 'models', 'and', '2', 'the', 'steps', 'we', 'are', 'taking', 'toward', 'this', 'goal', 'we', 'summarize', 'abundances', 'obtained', 'to', 'date', 'and', 'we', 'show', 'recent', 'results']] | [-0.01235888165421784, 0.0363016149122268, -0.0527405070932582, 0.10127939904108643, -0.06699622012674808, -0.11261843162588775, 0.06950662165880203, 0.4656163802742958, -0.18596940729767084, -0.3576002927869558, 0.12008801172487438, -0.2759627987444401, -0.1283842099341564, 0.1947341968026012, -0.07239066438283771, 0.04781790053471923, 0.07601546637713909, -0.012225175499916077, -0.012932881759479643, -0.23084208991378546, 0.2858004419878125, 0.09248878770507872, 0.18582551939529368, 0.07402671435847878, 0.008005863670259714, -0.0921315738838166, -0.08811728582251817, -0.008796411072835327, -0.17386491114273667, 0.08726534991292283, 0.2706265519997396, 0.1808851939253509, 0.22572204906493426, -0.4587296575680375, -0.21627991912886502, 0.05257132509723306, 0.1436862251232378, 0.16790562386624516, -0.06526024652644992, -0.25334910599980504, 0.1033139425329864, -0.13310387851670386, -0.19557760963682086, -0.06716680034995079, 0.029990904852747916, 0.009350493885576724, -0.2574732859269716, 0.040363070536404845, 0.04044405985856429, 0.06250543743837625, -0.10575882730074226, -0.23286423310637475, 0.033652267246507106, 0.2047041048761457, 0.01605709853814915, 0.038856338569894434, 0.08785216389223933, -0.11826238459441811, -0.11146192566491664, 0.4223490877449512, -0.07456486558541656, -0.09865211334079504, 0.21762796780792995, -0.11432480236515402, -0.23268393286038191, 0.003612140789628029, 0.11877332938835025, 0.09656602090224624, -0.08586356952320784, -0.0001309017208404839, -0.00048169077374041083, 0.12096173085272312, -0.01005403553135693, 0.00022890187799930572, 0.2572199889272451, 0.2360344772785902, 0.023549138566013424, 0.10949868428055197, -0.12918658883310855, -0.09403144964948297, -0.32089932897128165, -0.16278911918401717, -0.09910708104260266, 0.04494487199932337, -0.013246540026157163, -0.047331276368349794, 0.39144384127110243, 0.23046129761263728, 0.26562445644289256, 0.04806491622701287, 0.314404222862795, 0.04755911893909797, 0.052715858034789564, 0.07597167288418859, 0.2330457178503275, 0.10264456259086728, 0.13683930053375662, -0.1344793495256454, 0.07710546840215102, 0.005187036283314228] |
710.1602 | On Multiple Scattering of Radiation by an Infinite Grating of Dielectric
Circular Cylinders at Oblique Incidence | A rigorous analytical representation for the multiple scattering coefficients
of the fields radiated by an infinite grating of dielectric circular cylinders
excited by an obliquely incident plane electromagnetic wave is derived in terms
of the "well-known scattering coefficients of an isolated dielectric cylinder
at oblique incidence" and "Schl\"omilch series". In addition, a generalized
sum-integral grating equation is acquired for the multiple scattered amplitude
of a cylinder at oblique incidence in the grating in terms of the scattering
coefficients of the insulating dielectric circular cylinder at oblique
incidence.
| math-ph math.MP | a rigorous analytical representation for the multiple scattering coefficients of the fields radiated by an infinite grating of dielectric circular cylinders excited by an obliquely incident plane electromagnetic wave is derived in terms of the wellknown scattering coefficients of an isolated dielectric cylinder at oblique incidence and schlomilch series in addition a generalized sumintegral grating equation is acquired for the multiple scattered amplitude of a cylinder at oblique incidence in the grating in terms of the scattering coefficients of the insulating dielectric circular cylinder at oblique incidence | [['a', 'rigorous', 'analytical', 'representation', 'for', 'the', 'multiple', 'scattering', 'coefficients', 'of', 'the', 'fields', 'radiated', 'by', 'an', 'infinite', 'grating', 'of', 'dielectric', 'circular', 'cylinders', 'excited', 'by', 'an', 'obliquely', 'incident', 'plane', 'electromagnetic', 'wave', 'is', 'derived', 'in', 'terms', 'of', 'the', 'wellknown', 'scattering', 'coefficients', 'of', 'an', 'isolated', 'dielectric', 'cylinder', 'at', 'oblique', 'incidence', 'and', 'schlomilch', 'series', 'in', 'addition', 'a', 'generalized', 'sumintegral', 'grating', 'equation', 'is', 'acquired', 'for', 'the', 'multiple', 'scattered', 'amplitude', 'of', 'a', 'cylinder', 'at', 'oblique', 'incidence', 'in', 'the', 'grating', 'in', 'terms', 'of', 'the', 'scattering', 'coefficients', 'of', 'the', 'insulating', 'dielectric', 'circular', 'cylinder', 'at', 'oblique', 'incidence']] | [-0.21535727124789666, 0.1723161967163143, -0.060368245761927175, -0.019965314110955118, -0.09810509245799875, -0.05967036409346366, -0.03562571974966311, 0.42450472327141925, -0.2568854457088586, -0.2139719143260977, 0.0531927100703891, -0.31641165040775965, -0.10748079551876276, 0.23256403245781174, 0.061843855922035444, 0.10400289222169881, -0.00879434881271559, 0.012510909024497559, -0.05017405916433567, -0.1525292624880014, 0.3064104638801053, 0.020797908775797434, 0.2586541814975783, 0.034169824258691965, 0.10551341462494998, 0.18220930828059884, 0.03621540182195176, -0.00795836110824141, -0.10572561314436553, 0.09080206840459643, 0.2438761867668437, -0.06704449753381377, 0.14391798622392374, -0.4790983962526695, -0.17869437510717556, -0.08512474888742998, 0.1692165923893623, 0.07161693675336482, -0.03419952563427646, -0.2532801649094313, -0.05149967063903466, -0.12403184175223711, -0.2614666722693491, 0.07028275925730323, 0.04331942272757919, 0.01464587206491965, -0.2915678745264123, 0.05346152492285032, 0.022843668650803638, 0.07802503360114221, -0.08675731001314761, -0.08678656815412059, -0.036840487180556034, 0.01307354756529261, 0.06917991718791168, -0.010633418705828231, 0.07645309003519601, -0.14409490659212074, -0.06035447766169392, 0.33870521281985033, -0.07994440096248498, -0.18828301948505913, 0.09209954237629628, -0.24305211214198805, 0.06270263956902528, 0.28991395650410107, 0.21155567362305078, 0.14778859491042537, -0.11830618516167347, 0.07628319523733473, -0.11523880385616446, 0.12009761712631617, 0.27447221831729013, -0.02517237950480361, 0.23979478797222348, 0.0938309356035001, -0.017043113280301808, 0.1882414691118074, -0.115051435777682, 0.05009252914554043, -0.3128320710069832, -0.10224333551080747, -0.17377224370125338, 0.026908817637314345, -0.15074810536207642, -0.25035404543467293, 0.35923977851353844, 0.01859155955159737, 0.1476207272331605, 0.005988854947018212, 0.3303299469380886, 0.2024594037847101, 0.004453722970966978, 0.02670614174353066, 0.2906166857600897, 0.23261205705910407, 0.09235554950675745, -0.25457099179640924, 0.022010120019937556, 0.04366844230941657] |
710.1603 | Analyse de vuln\'erabilit\'e sismique \`a grande \'echelle par
utilisation des propri\'et\'es dynamiques exp\'erimentales des b\^atiments | Two different way of assessing seismic vulnerability are available nowadays:
observed or empirical and calculated vulnerability assessment methods. The
first methods are based on observed damage after earthquakes correlated with
the structural properties of buildings, whereas the second methods are based on
numerical models more or less representing the buildings. In both cases, the
trouble is the imperfect knowledge of existing buildings. We propose here a new
method for estimating the vulnerability based on experimental modal parameters
(resonance frequencies, modal shapes and damping ratio) estimated under ambient
vibrations. They allow to build up a simplified numerical model of the elastic
building behaviour. The motion produced by numerous earthquakes leads to
determine its first damage level and therefore its vulnerability. An
inter-story drift threshold based on HAZUS values defines the first damage
level of the building. This method is applied to the Grenoble (France) city in
which 60 buildings have been instrumented.
| physics.geo-ph physics.class-ph | two different way of assessing seismic vulnerability are available nowadays observed or empirical and calculated vulnerability assessment methods the first methods are based on observed damage after earthquakes correlated with the structural properties of buildings whereas the second methods are based on numerical models more or less representing the buildings in both cases the trouble is the imperfect knowledge of existing buildings we propose here a new method for estimating the vulnerability based on experimental modal parameters resonance frequencies modal shapes and damping ratio estimated under ambient vibrations they allow to build up a simplified numerical model of the elastic building behaviour the motion produced by numerous earthquakes leads to determine its first damage level and therefore its vulnerability an interstory drift threshold based on hazus values defines the first damage level of the building this method is applied to the grenoble france city in which 60 buildings have been instrumented | [['two', 'different', 'way', 'of', 'assessing', 'seismic', 'vulnerability', 'are', 'available', 'nowadays', 'observed', 'or', 'empirical', 'and', 'calculated', 'vulnerability', 'assessment', 'methods', 'the', 'first', 'methods', 'are', 'based', 'on', 'observed', 'damage', 'after', 'earthquakes', 'correlated', 'with', 'the', 'structural', 'properties', 'of', 'buildings', 'whereas', 'the', 'second', 'methods', 'are', 'based', 'on', 'numerical', 'models', 'more', 'or', 'less', 'representing', 'the', 'buildings', 'in', 'both', 'cases', 'the', 'trouble', 'is', 'the', 'imperfect', 'knowledge', 'of', 'existing', 'buildings', 'we', 'propose', 'here', 'a', 'new', 'method', 'for', 'estimating', 'the', 'vulnerability', 'based', 'on', 'experimental', 'modal', 'parameters', 'resonance', 'frequencies', 'modal', 'shapes', 'and', 'damping', 'ratio', 'estimated', 'under', 'ambient', 'vibrations', 'they', 'allow', 'to', 'build', 'up', 'a', 'simplified', 'numerical', 'model', 'of', 'the', 'elastic', 'building', 'behaviour', 'the', 'motion', 'produced', 'by', 'numerous', 'earthquakes', 'leads', 'to', 'determine', 'its', 'first', 'damage', 'level', 'and', 'therefore', 'its', 'vulnerability', 'an', 'interstory', 'drift', 'threshold', 'based', 'on', 'hazus', 'values', 'defines', 'the', 'first', 'damage', 'level', 'of', 'the', 'building', 'this', 'method', 'is', 'applied', 'to', 'the', 'grenoble', 'france', 'city', 'in', 'which', '60', 'buildings', 'have', 'been', 'instrumented']] | [-0.057604965548186254, 0.09109438552142819, -0.0858346131676808, 0.0653969246498309, -0.08020991419441997, -0.09744846629910171, 0.04822174574170882, 0.37862093836689986, -0.1903730881928156, -0.3140380683789651, 0.14256309240474366, -0.2818038169884433, -0.1568146376913258, 0.23762094505286466, -0.08437747159662345, 0.08796724367430822, 0.0390490297259142, 0.03593336042792847, -0.0321762901210847, -0.22671336064115166, 0.277488134301578, 0.09683627252001316, 0.35770223921785754, 0.04372416451379346, 0.07482425241731107, -0.03805637528382552, -0.048565083670740326, 0.01324165551543653, -0.10898503637406975, 0.160993765272821, 0.2542413639101869, 0.10843413053546101, 0.2780725799687207, -0.4756443247618154, -0.24176809752883854, 0.08860978224935631, 0.05601965771677593, 0.08629127369650329, 0.00036794917531854783, -0.2884448735229671, 0.0723715371483316, -0.1916627183680733, -0.11943937267487248, -0.06270388577909519, -0.011684987129022677, 0.032271266511331005, -0.2312858520828498, 0.06913339820690453, 0.03663903394131921, 0.13515443029037366, -0.06518696655829748, -0.1495420813933015, -0.01393659614181767, 0.1610222809109837, 0.047448779973977555, -0.06967896691639908, 0.18458494352176785, -0.08792227485217154, -0.11036391086488341, 0.4038166969766219, -0.012852998200493555, -0.16875178365657728, 0.19238215896029337, -0.09644122570442656, -0.10353095400768021, 0.12670188600973536, 0.22175633950469395, 0.08010654299830397, -0.17775879064885278, -0.0031414932986566176, 0.050840129165444524, 0.16270692144054918, 0.09491586525924504, -0.0431766207733502, 0.17722771012534697, 0.23303097824876506, 0.045313782913144675, 0.12310723896798056, -0.15161386823359255, -0.05500987254704038, -0.2553854694714149, -0.06724432397944231, -0.15248421825080488, -0.021654321709647775, -0.06624307856089824, -0.18882840259931982, 0.3924045768504341, 0.1949749824590981, 0.15883082669228316, 0.04320128090136374, 0.329077786206423, 0.07567935870649914, 0.07133136926684529, 0.055340035213157536, 0.24244350326092293, 0.09042614007213463, 0.08366773319120209, -0.181541699130903, 0.1404749048842738, 0.03568847241811454] |
710.1604 | A quantitative formulation of the global regularity problem for the
periodic Navier-Stokes equation | The global regularity problem for the periodic Navier-Stokes system asks
whether to every smooth divergence-free initial datum $u_0: (\R/\Z)^3 \to \R^3$
there exists a global smooth solution u. In this note we observe (using a
simple compactness argument) that this qualitative question is equivalent to
the more quantitative assertion that there exists a non-decreasing function $F:
\R^+ \to \R^+$ for which one has a local-in-time \emph{a priori} bound $$ \|
u(T) \|_{H^1_x((\R/\Z)^3)} \leq F(\|u_0\|_{H^1_x((\R/\Z)^3)})$$ for all $0 < T
\leq 1$ and all smooth solutions $u: [0,T] \times (\R/\Z)^3 \to \R^3$ to the
Navier-Stokes system. We also show that this local-in-time bound is equivalent
to the corresponding global-in-time bound.
| math.AP | the global regularity problem for the periodic navierstokes system asks whether to every smooth divergencefree initial datum u_0 rz3 to r3 there exists a global smooth solution u in this note we observe using a simple compactness argument that this qualitative question is equivalent to the more quantitative assertion that there exists a nondecreasing function f r to r for which one has a localintime empha priori bound ut _h1_xrz3 leq fu_0_h1_xrz3 for all 0 t leq 1 and all smooth solutions u 0t times rz3 to r3 to the navierstokes system we also show that this localintime bound is equivalent to the corresponding globalintime bound | [['the', 'global', 'regularity', 'problem', 'for', 'the', 'periodic', 'navierstokes', 'system', 'asks', 'whether', 'to', 'every', 'smooth', 'divergencefree', 'initial', 'datum', 'u_0', 'rz3', 'to', 'r3', 'there', 'exists', 'a', 'global', 'smooth', 'solution', 'u', 'in', 'this', 'note', 'we', 'observe', 'using', 'a', 'simple', 'compactness', 'argument', 'that', 'this', 'qualitative', 'question', 'is', 'equivalent', 'to', 'the', 'more', 'quantitative', 'assertion', 'that', 'there', 'exists', 'a', 'nondecreasing', 'function', 'f', 'r', 'to', 'r', 'for', 'which', 'one', 'has', 'a', 'localintime', 'empha', 'priori', 'bound', 'ut', '_h1_xrz3', 'leq', 'fu_0_h1_xrz3', 'for', 'all', '0', 't', 'leq', '1', 'and', 'all', 'smooth', 'solutions', 'u', '0t', 'times', 'rz3', 'to', 'r3', 'to', 'the', 'navierstokes', 'system', 'we', 'also', 'show', 'that', 'this', 'localintime', 'bound', 'is', 'equivalent', 'to', 'the', 'corresponding', 'globalintime', 'bound']] | [-0.2086075889437423, 0.019699913535184937, -0.09319447952450491, 0.07697016770800795, -0.07260359981206849, -0.2064936473582159, 0.007860853487406583, 0.33343905488065645, -0.32006365133851183, -0.1975969231833576, 0.10990848643682423, -0.2976971855752316, -0.07231893056236646, 0.15681487749166348, -0.08536456545413125, 0.08348738129122876, 0.09609711424484119, 0.06237793893224614, -0.09684949660646346, -0.2523549203989187, 0.3502728093378976, -0.14202660007639697, 0.17557623223675525, 0.08764798716441088, 0.1534235911973405, -0.05294252800590852, 0.12309146967862605, -0.011162996534075514, -0.3003332760086136, 0.03038936581202399, 0.24543634516999638, 0.13684326267399477, 0.34971643469351177, -0.36836774127104766, -0.16916312026909971, 0.21863923545963332, 0.14056909908529133, 0.039711003596940096, -0.033071002898556315, -0.2499462163632772, 0.19305438400410554, -0.06907792920794557, -0.2059589534491191, -0.042372725666591934, 0.16977657883555866, 0.02002626368958576, -0.37440489703223256, 0.09924561079955596, 0.150705636166237, 0.018321635379620334, -0.14542850349828892, -0.059737131243809034, -0.06305411005137014, 0.06952044109393861, 0.06313932275710006, 0.19669080467200747, -0.015556690648914882, -0.0738729996077132, 0.03169335319898, 0.3111839965807603, -0.12445997959459383, -0.28915255146064595, 0.16539180677785886, -0.17062942663609398, -0.13068082665695863, 0.12475550615721766, 0.08565281650197565, 0.15404795392361634, -0.12007518283401926, 0.18033029131223813, -0.1633956382763298, 0.24329096515316004, 0.11244113236556158, -0.033495435436420584, 0.06574773781832453, 0.09922985940733377, 0.23824716282679753, 0.07563868751886356, 0.015879228559331784, 0.003882050715094688, -0.4026553678855884, -0.13243857224633934, -0.18020976014553988, 0.16807809937745333, -0.09613494783187372, -0.1829374270860617, 0.2955089320848678, 0.1500854644623092, 0.1524986358925554, 0.10298385970207735, 0.2118170255197066, 0.13091153540995484, -0.06904162917578337, 0.15767069285114607, 0.15179250102864542, 0.10389808513105427, 0.1341707200432817, -0.16149593571739673, 0.004828729856229734, 0.17549040551096493] |
710.1605 | Pseudoconvex regions of finite D'Angelo type in four dimensional almost
complex manifolds | Let D be a J-pseudoconvex region in a smooth almost complex manifold (M,J) of
real dimension four. We construct a local peak J-plurisubharmonic function at
every boundary point p of finite D'Angelo type. As applications we give local
estimates of the Kobayashi pseudometric, implying the local Kobayashi
hyperbolicity of D at p. In case the point p is of D'Angelo type less than or
equal to four, or the approach is nontangential, we provide sharp estimates of
the Kobayashi pseudometric.
| math.CV | let d be a jpseudoconvex region in a smooth almost complex manifold mj of real dimension four we construct a local peak jplurisubharmonic function at every boundary point p of finite dangelo type as applications we give local estimates of the kobayashi pseudometric implying the local kobayashi hyperbolicity of d at p in case the point p is of dangelo type less than or equal to four or the approach is nontangential we provide sharp estimates of the kobayashi pseudometric | [['let', 'd', 'be', 'a', 'jpseudoconvex', 'region', 'in', 'a', 'smooth', 'almost', 'complex', 'manifold', 'mj', 'of', 'real', 'dimension', 'four', 'we', 'construct', 'a', 'local', 'peak', 'jplurisubharmonic', 'function', 'at', 'every', 'boundary', 'point', 'p', 'of', 'finite', 'dangelo', 'type', 'as', 'applications', 'we', 'give', 'local', 'estimates', 'of', 'the', 'kobayashi', 'pseudometric', 'implying', 'the', 'local', 'kobayashi', 'hyperbolicity', 'of', 'd', 'at', 'p', 'in', 'case', 'the', 'point', 'p', 'is', 'of', 'dangelo', 'type', 'less', 'than', 'or', 'equal', 'to', 'four', 'or', 'the', 'approach', 'is', 'nontangential', 'we', 'provide', 'sharp', 'estimates', 'of', 'the', 'kobayashi', 'pseudometric']] | [-0.20643653037550394, 0.06357471357259784, -0.14043614693218842, 0.0713206553220516, -0.058848346321610734, -0.18565382806700653, 0.05354012650204822, 0.31684366083936766, -0.2411596480756998, -0.19945705785648898, 0.08546929793956223, -0.2769112283596769, -0.12092086955090053, 0.1892489632416982, -0.11246438410926203, -0.015487250825390219, -0.005449553299695253, 0.09588043065487, -0.13788636786630376, -0.284656857769005, 0.38432841637404636, -0.0688172185793519, 0.19802614755462855, 0.07741647063521669, 0.04313570631784387, -0.014505693974206224, -0.003784311271738261, -0.007507632664055563, -0.20032647835323586, 0.09164853687398136, 0.2201492422260344, 0.07523065837158356, 0.2756857165368274, -0.30341966801606757, -0.19439245403773384, 0.22322216336615383, 0.12489472247543745, -0.023394818673841654, 0.03428230493154842, -0.25925516995775977, 0.17211000590468756, -0.06723014431772753, -0.24978244858793913, -0.016040444700047375, 0.10374107987154275, -0.013839821424335241, -0.2972036725259386, 0.05996315950760618, 0.1315450771478936, 0.15133725590421818, -0.06750128889398184, -0.12031576205336023, -0.0504715624731034, 0.032747530633059796, -0.04512284126249142, 0.13368196727969917, 0.08859673091137665, -0.0168064724188298, -0.08364602841320448, 0.336499055539025, -0.07773428363525454, -0.2206661556236213, 0.19044195411261172, -0.2189029050874524, -0.059737880644388494, 0.14265439820010214, 0.14257120094262063, 0.20168930736836047, -0.04929458613623865, 0.15882951273815707, -0.06395846912491834, 0.05120995878605754, 0.14513690654421224, -0.002187261905055493, 0.08952783916611225, 0.1244639313663356, 0.202267421875149, 0.08180106296640588, -0.060721315201953986, -0.007428279845044017, -0.36896577589213847, -0.16694244212121703, -0.1700415233965032, 0.17114655901677905, -0.16386321029858664, -0.16935389991849661, 0.3158072346821427, 0.0027311087505950127, 0.24868708004942164, 0.07775527992052958, 0.19002956605982035, 0.07456699885515264, -0.00856182987918146, 0.13864877066225745, 0.1611490223556757, 0.15415543372801038, 0.048392513615544884, -0.12766627500532196, 0.03685016533490852, 0.19466568090138026] |
710.1606 | Operator Methods, Abelian Processes and Dynamic Conditioning | A mathematical framework for Continuous Time Finance based on operator
algebraic methods offers a new direct and entirely constructive perspective on
the field and leads to new numerical analysis techniques. This is partly a
review paper as it covers and expands on the mathematical framework underlying
a series of more applied articles. In addition, this article also presents a
few key new theorems that make the treatment self-contained. Stochastic
processes with continuous time and continuous space variables are defined
constructively by establishing new convergence estimates for Markov chains on
simplicial sequences. We emphasize high precision computability by numerical
linear algebra methods as opposed to the ability of arriving to analytically
closed form expressions in terms of special functions. Path dependent processes
adapted to a given Markov filtration are associated to an operator algebra. If
this algebra is commutative, the corresponding process is named Abelian, a
concept which provides a far reaching extension of the notion of stochastic
integral. We recover the classic Cameron-Dyson-Feynman-Girsanov-Ito-Kac-Martin
theorem as a particular case of a broadly general block-diagonalization
algorithm. This technique has many applications ranging from the problem of
pricing cliquets to target-redemption-notes and volatility derivatives.
Non-Abelian processes are also relevant and appear in several important
applications to for instance snowballs and soft calls. We show that in these
cases one can effectively use block-factorization algorithms. Finally, we
discuss the method of dynamic conditioning that allows one to dynamically
correlate over possibly even hundreds of processes in a numerically noiseless
framework while preserving marginal distributions.
| math.PR math.FA | a mathematical framework for continuous time finance based on operator algebraic methods offers a new direct and entirely constructive perspective on the field and leads to new numerical analysis techniques this is partly a review paper as it covers and expands on the mathematical framework underlying a series of more applied articles in addition this article also presents a few key new theorems that make the treatment selfcontained stochastic processes with continuous time and continuous space variables are defined constructively by establishing new convergence estimates for markov chains on simplicial sequences we emphasize high precision computability by numerical linear algebra methods as opposed to the ability of arriving to analytically closed form expressions in terms of special functions path dependent processes adapted to a given markov filtration are associated to an operator algebra if this algebra is commutative the corresponding process is named abelian a concept which provides a far reaching extension of the notion of stochastic integral we recover the classic camerondysonfeynmangirsanovitokacmartin theorem as a particular case of a broadly general blockdiagonalization algorithm this technique has many applications ranging from the problem of pricing cliquets to targetredemptionnotes and volatility derivatives nonabelian processes are also relevant and appear in several important applications to for instance snowballs and soft calls we show that in these cases one can effectively use blockfactorization algorithms finally we discuss the method of dynamic conditioning that allows one to dynamically correlate over possibly even hundreds of processes in a numerically noiseless framework while preserving marginal distributions | [['a', 'mathematical', 'framework', 'for', 'continuous', 'time', 'finance', 'based', 'on', 'operator', 'algebraic', 'methods', 'offers', 'a', 'new', 'direct', 'and', 'entirely', 'constructive', 'perspective', 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710.1607 | Comparaison entre calculs de vuln\'erabilit\'e sismique et
propri\'et\'es dynamiques mesur\'ees | Large-scale seismic vulnerability assessment methods use simplified formulas
and curves, often without providing uncertainties. They are seldom compared to
experimental data. Therefore, we recorded ambient vibrations and estimated
modal parameters (resonance frequencies, modal shapes and damping) of 60
buildings in Grenoble (France) of various types (masonry and reinforced
concrete). The knowledge of resonance frequencies in the linear domain is
essential in the seismic design. Hence, we compared resonance frequency
formulas given in the design code with this experimental data. The variability
is underestimated and only two parameters (type and height of the building)
seem to be statistically significant. Moreover, we compared the linear part of
capacity curves used in European Risk-UE method to the measured frequencies.
The variability is still very large and these curve are often not relevant for
the French buildings. As a result, ambient vibration recordings may become an
interesting tool in order to calibrate the linear part of capacity curves.
| physics.geo-ph physics.class-ph | largescale seismic vulnerability assessment methods use simplified formulas and curves often without providing uncertainties they are seldom compared to experimental data therefore we recorded ambient vibrations and estimated modal parameters resonance frequencies modal shapes and damping of 60 buildings in grenoble france of various types masonry and reinforced concrete the knowledge of resonance frequencies in the linear domain is essential in the seismic design hence we compared resonance frequency formulas given in the design code with this experimental data the variability is underestimated and only two parameters type and height of the building seem to be statistically significant moreover we compared the linear part of capacity curves used in european riskue method to the measured frequencies the variability is still very large and these curve are often not relevant for the french buildings as a result ambient vibration recordings may become an interesting tool in order to calibrate the linear part of capacity curves | [['largescale', 'seismic', 'vulnerability', 'assessment', 'methods', 'use', 'simplified', 'formulas', 'and', 'curves', 'often', 'without', 'providing', 'uncertainties', 'they', 'are', 'seldom', 'compared', 'to', 'experimental', 'data', 'therefore', 'we', 'recorded', 'ambient', 'vibrations', 'and', 'estimated', 'modal', 'parameters', 'resonance', 'frequencies', 'modal', 'shapes', 'and', 'damping', 'of', '60', 'buildings', 'in', 'grenoble', 'france', 'of', 'various', 'types', 'masonry', 'and', 'reinforced', 'concrete', 'the', 'knowledge', 'of', 'resonance', 'frequencies', 'in', 'the', 'linear', 'domain', 'is', 'essential', 'in', 'the', 'seismic', 'design', 'hence', 'we', 'compared', 'resonance', 'frequency', 'formulas', 'given', 'in', 'the', 'design', 'code', 'with', 'this', 'experimental', 'data', 'the', 'variability', 'is', 'underestimated', 'and', 'only', 'two', 'parameters', 'type', 'and', 'height', 'of', 'the', 'building', 'seem', 'to', 'be', 'statistically', 'significant', 'moreover', 'we', 'compared', 'the', 'linear', 'part', 'of', 'capacity', 'curves', 'used', 'in', 'european', 'riskue', 'method', 'to', 'the', 'measured', 'frequencies', 'the', 'variability', 'is', 'still', 'very', 'large', 'and', 'these', 'curve', 'are', 'often', 'not', 'relevant', 'for', 'the', 'french', 'buildings', 'as', 'a', 'result', 'ambient', 'vibration', 'recordings', 'may', 'become', 'an', 'interesting', 'tool', 'in', 'order', 'to', 'calibrate', 'the', 'linear', 'part', 'of', 'capacity', 'curves']] | [-0.0930617127104912, 0.0953698137378833, -0.059801103230687526, 0.09851817615798925, -0.127076375779081, -0.10378172020336576, 0.042646172365137174, 0.4069926065264964, -0.22882820250089067, -0.31211091083736203, 0.16332721857854707, -0.27574170918129326, -0.12138165679061785, 0.28597024367403945, -0.10595211669025803, 0.08416536594954094, 0.07275985178896804, 0.013665875553889992, -0.002245072927478141, -0.19623757132292524, 0.23905992748374058, 0.09376629155883992, 0.31875167429154994, 0.025023653561529382, 0.038593403613073084, -0.043693142298805325, -0.05330080512204981, 0.0026601771245789683, -0.10548424073213443, 0.12229868601376094, 0.35597882754005056, 0.10287620052938758, 0.2098278066819059, -0.438464899699575, -0.20222806762215328, 0.09820869574445037, 0.09369741393301904, 0.10187628875590032, 0.011251708622747922, -0.24829735475427964, 0.044548530858983984, -0.15588218983859312, -0.14103681558828338, -0.07460178899292658, 0.014909805620417875, 0.018783465989567098, -0.24629807863323613, 0.05323920152271836, 0.050593549863502285, 0.16349945807360794, -0.0988320025122341, -0.1506384869982653, -0.010837944465677186, 0.14962920505443916, 0.05812299655890397, -0.03137139979676873, 0.12862056386017917, -0.0951364445880518, -0.05900713178219602, 0.3823391597693652, -0.06579772926930923, -0.1722863313918507, 0.19675434246854065, -0.1526413539803459, -0.0934617708093225, 0.12945650176151224, 0.21077839033739046, 0.06173612280852265, -0.16854130479984983, 0.0058906321703712, 0.043137083496606235, 0.1986617988912888, 0.09797585332230513, 0.009626855027140575, 0.16742430239903675, 0.1594456615606688, -0.012899576074571586, 0.13227424102042515, -0.1279742253671881, -0.038542832220521045, -0.27821648251143544, -0.07652439887854545, -0.13845860591353057, -0.013953046638764337, -0.08936998076834701, -0.14442022978723829, 0.39419833742983007, 0.13577804101396693, 0.18192671174320446, 0.018650781679776757, 0.32155368579368965, 0.09199296023157955, 0.10320934178794619, 0.05875097488180971, 0.24933893920768516, 0.12141069163890933, 0.11087158650427667, -0.1944303969347399, 0.07989667009659647, -0.024467345462576333] |
710.1608 | Charmless b-hadron decays at CDF | I present recent results of measurements of branching fractions and
CP-violating asymmetries in B0, Bs, and Lambda_B two-body charmless decays at
the upgraded Collider Detector at the Fermilab Tevatron. Measurements of rates
of flavor-changing neutral current B0, Bs -->mu+mu- and B+/B0/Bs --> mu+mu-
K+/K*0/phi decays are also reported. The results are extracted from samples
corresponding to time-intergrated luminosities ranging from 0.78 to 1 fb-1.
| hep-ex | i present recent results of measurements of branching fractions and cpviolating asymmetries in b0 bs and lambda_b twobody charmless decays at the upgraded collider detector at the fermilab tevatron measurements of rates of flavorchanging neutral current b0 bs mumu and bb0bs mumu kk0phi decays are also reported the results are extracted from samples corresponding to timeintergrated luminosities ranging from 078 to 1 fb1 | [['i', 'present', 'recent', 'results', 'of', 'measurements', 'of', 'branching', 'fractions', 'and', 'cpviolating', 'asymmetries', 'in', 'b0', 'bs', 'and', 'lambda_b', 'twobody', 'charmless', 'decays', 'at', 'the', 'upgraded', 'collider', 'detector', 'at', 'the', 'fermilab', 'tevatron', 'measurements', 'of', 'rates', 'of', 'flavorchanging', 'neutral', 'current', 'b0', 'bs', 'mumu', 'and', 'bb0bs', 'mumu', 'kk0phi', 'decays', 'are', 'also', 'reported', 'the', 'results', 'are', 'extracted', 'from', 'samples', 'corresponding', 'to', 'timeintergrated', 'luminosities', 'ranging', 'from', '078', 'to', '1', 'fb1']] | [-0.02469059273619981, 0.2527974458159103, -0.029932191874831916, 0.048985785183807216, -0.04241558439874401, -0.1880718770281722, 0.11430187600975235, 0.25593447344532855, -0.1587356617519011, -0.24413296325753134, -0.05368192077342731, -0.5089689516307165, 0.154874659407263, 0.1419562487746589, 0.15745528989937158, 0.16329346955947888, 0.17879730853407333, -0.09459053218985597, -0.1003545684274286, -0.19790976577205582, 0.15028914927194517, -0.010910787860242029, 0.18603121303021908, 0.07740302920962373, -0.06352646892579893, -0.0961771416439054, -0.12634833302969734, -0.1097024393035099, -0.19432978758898875, -0.02077771394979209, 0.28496337626129387, 0.18242845154697232, 0.020534058349827924, -0.3481311124439041, 0.11228947308845819, 0.1820077459483097, 0.1722729125370582, 0.05749250763716797, -0.059738398110494015, -0.4703470922191627, 0.1721068571321666, -0.21722339812355737, -0.015137576824054122, -0.007534323306754231, 0.07576560541056096, -0.09792319356153409, -0.44783567525446416, 0.1317552193334753, -0.1842496485915035, 0.09058814938762225, 0.003200882316256563, -0.38008353058248756, -0.021817752113565802, -0.06271749888546765, 0.14049307005479933, 0.10010752394640197, 0.26685368151714406, -0.12473266792173186, -0.23390183793380856, 0.3273156759484361, -0.06141169408413892, -0.11986285344464705, 0.1933537146697442, -0.33172794999554756, -0.156629733958592, 0.19888987887340287, 0.3385233581687013, 0.00040617634852727254, -0.25729575051615633, 0.13198805617187948, 0.010809078036497036, 0.10814997133178016, 0.07107053638125459, 0.13171150824055075, 0.18612925099829833, 0.18717636993775766, 0.000765861136217912, -0.003792724657493333, -0.1666531142157813, 0.024812112282961606, -0.4615513833608323, -0.06397607759572566, -0.030829405489688117, 0.1152784984287185, 0.010818422206163329, 0.0743099537367622, 0.33716371450573207, 0.08517669808740418, 0.345266841010501, 0.06884085424244404, 0.36734640985960143, 0.07870332835785424, 0.035740114436581885, 0.037481932757994704, 0.36701382396616583, 0.24230693113058804, 0.22986993513380488, -0.3235118518505866, 0.052503528587597735, -0.03242970032927891] |
710.1609 | Observations and modeling of the early acceleration phase of erupting
filaments involved in coronal mass ejections | We examine the early phases of two near-limb filament destabilization
involved in coronal mass ejections on 16 June and 27 July 2005, using
high-resolution, high-cadence observations made with the Transition Region and
Coronal Explorer (TRACE), complemented by coronagraphic observations by Mauna
Loa and the SOlar and Heliospheric Observatory (SOHO). The filaments' heights
above the solar limb in their rapid-acceleration phases are best characterized
by a height dependence h(t) ~ t^m with m near, or slightly above, 3 for both
events. Such profiles are incompatible with published results for breakout,
MHD-instability, and catastrophe models. We show numerical simulations of the
torus instability that approximate this height evolution in case a substantial
initial velocity perturbation is applied to the developing instability. We
argue that the sensitivity of magnetic instabilities to initial and boundary
conditions requires higher fidelity modeling of all proposed mechanisms if
observations of rise profiles are to be used to differentiate between them. The
observations show no significant delays between the motions of the filament and
of overlying loops: the filaments seem to move as part of the overall coronal
field until several minutes after the onset of the rapid-acceleration phase.
| astro-ph | we examine the early phases of two nearlimb filament destabilization involved in coronal mass ejections on 16 june and 27 july 2005 using highresolution highcadence observations made with the transition region and coronal explorer trace complemented by coronagraphic observations by mauna loa and the solar and heliospheric observatory soho the filaments heights above the solar limb in their rapidacceleration phases are best characterized by a height dependence ht tm with m near or slightly above 3 for both events such profiles are incompatible with published results for breakout mhdinstability and catastrophe models we show numerical simulations of the torus instability that approximate this height evolution in case a substantial initial velocity perturbation is applied to the developing instability we argue that the sensitivity of magnetic instabilities to initial and boundary conditions requires higher fidelity modeling of all proposed mechanisms if observations of rise profiles are to be used to differentiate between them the observations show no significant delays between the motions of the filament and of overlying loops the filaments seem to move as part of the overall coronal field until several minutes after the onset of the rapidacceleration phase | [['we', 'examine', 'the', 'early', 'phases', 'of', 'two', 'nearlimb', 'filament', 'destabilization', 'involved', 'in', 'coronal', 'mass', 'ejections', 'on', '16', 'june', 'and', '27', 'july', '2005', 'using', 'highresolution', 'highcadence', 'observations', 'made', 'with', 'the', 'transition', 'region', 'and', 'coronal', 'explorer', 'trace', 'complemented', 'by', 'coronagraphic', 'observations', 'by', 'mauna', 'loa', 'and', 'the', 'solar', 'and', 'heliospheric', 'observatory', 'soho', 'the', 'filaments', 'heights', 'above', 'the', 'solar', 'limb', 'in', 'their', 'rapidacceleration', 'phases', 'are', 'best', 'characterized', 'by', 'a', 'height', 'dependence', 'ht', 'tm', 'with', 'm', 'near', 'or', 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710.161 | Colossal dielectric constants in single-crystalline and ceramic
CaCu3Ti4O12 investigated by broadband dielectric spectroscopy | In the present work the authors report results of broadband dielectric
spectroscopy on various samples of CaCu3Ti4O12, including so far only rarely
investigated single crystalline material. The measurements extend up to 1.3
GHz, covering more than nine frequency decades. We address the question of the
origin of the colossal dielectric constants and of the relaxational behavior in
this material, including the second relaxation reported in several recent
works. For this purpose, the dependence of the temperature- and
frequency-dependent dielectric properties on different tempering and surface
treatments of the samples and on ac-field amplitude are investigated. Broadband
spectra of a single crystal are analyzed by an equivalent circuit description,
assuming two highly resistive layers in series to the bulk. Good fits could be
achieved, including the second relaxation, which also shows up in single
crystals. The temperature- and frequency-dependent intrinsic conductivity of
CCTO is consistent with the Variable Range Hopping model. The second relaxation
is sensitive to surface treatment and, in contrast to the main relaxation, also
is strongly affected by the applied ac voltage. Concerning the origin of the
two insulating layers, we discuss a completely surface-related mechanism
assuming the formation of a metal-insulator diode and a combination of surface
and internal barriers.
| cond-mat.mtrl-sci cond-mat.str-el | in the present work the authors report results of broadband dielectric spectroscopy on various samples of cacu3ti4o12 including so far only rarely investigated single crystalline material the measurements extend up to 13 ghz covering more than nine frequency decades we address the question of the origin of the colossal dielectric constants and of the relaxational behavior in this material including the second relaxation reported in several recent works for this purpose the dependence of the temperature and frequencydependent dielectric properties on different tempering and surface treatments of the samples and on acfield amplitude are investigated broadband spectra of a single crystal are analyzed by an equivalent circuit description assuming two highly resistive layers in series to the bulk good fits could be achieved including the second relaxation which also shows up in single crystals the temperature and frequencydependent intrinsic conductivity of ccto is consistent with the variable range hopping model the second relaxation is sensitive to surface treatment and in contrast to the main relaxation also is strongly affected by the applied ac voltage concerning the origin of the two insulating layers we discuss a completely surfacerelated mechanism assuming the formation of a metalinsulator diode and a combination of surface and internal barriers | [['in', 'the', 'present', 'work', 'the', 'authors', 'report', 'results', 'of', 'broadband', 'dielectric', 'spectroscopy', 'on', 'various', 'samples', 'of', 'cacu3ti4o12', 'including', 'so', 'far', 'only', 'rarely', 'investigated', 'single', 'crystalline', 'material', 'the', 'measurements', 'extend', 'up', 'to', '13', 'ghz', 'covering', 'more', 'than', 'nine', 'frequency', 'decades', 'we', 'address', 'the', 'question', 'of', 'the', 'origin', 'of', 'the', 'colossal', 'dielectric', 'constants', 'and', 'of', 'the', 'relaxational', 'behavior', 'in', 'this', 'material', 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710.1611 | On Some Geometric Structures Associated to a k-Symplectic Manifold | A canonical connection is attached to any k-symplectic manifold. We study the
properties of this connection and its geometric applications to k-symplectic
manifolds. In particular we prove that, under some natural assumption, any
ksymplectic manifold admits an Ehresmann connection, discussing some
corollaries of this result, and we find vanishing theorems for characteristic
classes on a k-symplectic manifold.
| math.DG math-ph math.MP math.SG | a canonical connection is attached to any ksymplectic manifold we study the properties of this connection and its geometric applications to ksymplectic manifolds in particular we prove that under some natural assumption any ksymplectic manifold admits an ehresmann connection discussing some corollaries of this result and we find vanishing theorems for characteristic classes on a ksymplectic manifold | [['a', 'canonical', 'connection', 'is', 'attached', 'to', 'any', 'ksymplectic', 'manifold', 'we', 'study', 'the', 'properties', 'of', 'this', 'connection', 'and', 'its', 'geometric', 'applications', 'to', 'ksymplectic', 'manifolds', 'in', 'particular', 'we', 'prove', 'that', 'under', 'some', 'natural', 'assumption', 'any', 'ksymplectic', 'manifold', 'admits', 'an', 'ehresmann', 'connection', 'discussing', 'some', 'corollaries', 'of', 'this', 'result', 'and', 'we', 'find', 'vanishing', 'theorems', 'for', 'characteristic', 'classes', 'on', 'a', 'ksymplectic', 'manifold']] | [-0.21800940312249095, 0.0031410391432776428, -0.14484278700853648, 0.12604548462478674, -0.18654330198963484, -0.14194394413610562, -0.02379872496321536, 0.38055756766545146, -0.30448523327185395, -0.21087261864490675, 0.10211387853211674, -0.19588096155539939, -0.27813096991495084, 0.17347045830990138, -0.19591061643471844, -0.05796582078695983, 0.09079517201896299, 0.12328928637138584, -0.1939942823812823, -0.20934765187925414, 0.4762959233893637, -0.032039886046397056, 0.21960476031445228, 0.09775736502865982, 0.19576177144782586, -0.0015720276309079246, 0.04274925702300511, 0.01702746337998593, -0.2224537070985861, 0.1187535325522747, 0.24641429574081772, 0.09701110150158536, 0.21685734543165094, -0.4077235804380555, -0.1806118710848846, 0.2150296013998358, 0.045077320163775435, 0.036601791542284844, -0.05042456368008923, -0.2731962999361649, 0.12110980239409846, -0.09125105317747384, -0.22240588054257004, -0.12309492698037311, 0.01543446368815606, -0.010815351519308854, -0.17285212982249887, -0.060968219024831787, 0.19128770910595594, 0.10789550296766193, -0.08611258008443799, -0.03566080334253217, 0.01799947718615856, 0.07033167085038465, 0.044455841996527294, 0.020064351103971142, 0.10657969149025648, -0.06356911055678338, -0.12900994816108755, 0.3349735344384323, -0.06972534962717378, -0.2826901086720458, 0.18059356370123855, -0.06938038781089217, -0.3044517217040585, 0.02181818825601224, 0.09468326894076247, 0.14500324187898322, -0.1018811756124099, 0.1817866209873995, -0.11537149077967594, 0.03591725994064881, 0.11164332047235548, 0.05115743756719064, 0.1112929784464078, 0.103431870249966, 0.13592026639206892, 0.1400616114566985, -0.0009043031870469189, -0.14390826389487638, -0.36785795238980074, -0.2566943156876062, -0.12214334093426403, 0.22684767693199478, -0.16356145970374264, -0.16424380278770337, 0.38335588930599523, 0.05696696873035347, 0.20282419079816655, 0.13288726515888252, 0.20438786043801851, 0.07880297344047249, -0.01643311435748872, 0.08631128702606809, 0.17495165783768976, 0.29348606652204406, 0.04408942699726475, -0.12185294096962664, -0.054146057632016506, 0.1259546167249873] |
710.1612 | Pentagon deposits unpack under gentle tapping | We present results from simulations of regular pentagons arranged in a
rectangular die. The particles are subjected to vertical tapping. We study the
behavior of the packing fraction, number of contacts and arch distributions as
a function of the tapping amplitude. Pentagons show peculiar features as
compared with disks. As a general rule, pentagons tend to form less arches than
disks. Nevertheless, as the tapping amplitude is decreased, the typical size of
the pentagon arches grows significantly. As a consequence, a pentagon packing
reduces its packing fraction when tapped gently in contrast with the behavior
found in rounded particle deposits.
| cond-mat.soft | we present results from simulations of regular pentagons arranged in a rectangular die the particles are subjected to vertical tapping we study the behavior of the packing fraction number of contacts and arch distributions as a function of the tapping amplitude pentagons show peculiar features as compared with disks as a general rule pentagons tend to form less arches than disks nevertheless as the tapping amplitude is decreased the typical size of the pentagon arches grows significantly as a consequence a pentagon packing reduces its packing fraction when tapped gently in contrast with the behavior found in rounded particle deposits | [['we', 'present', 'results', 'from', 'simulations', 'of', 'regular', 'pentagons', 'arranged', 'in', 'a', 'rectangular', 'die', 'the', 'particles', 'are', 'subjected', 'to', 'vertical', 'tapping', 'we', 'study', 'the', 'behavior', 'of', 'the', 'packing', 'fraction', 'number', 'of', 'contacts', 'and', 'arch', 'distributions', 'as', 'a', 'function', 'of', 'the', 'tapping', 'amplitude', 'pentagons', 'show', 'peculiar', 'features', 'as', 'compared', 'with', 'disks', 'as', 'a', 'general', 'rule', 'pentagons', 'tend', 'to', 'form', 'less', 'arches', 'than', 'disks', 'nevertheless', 'as', 'the', 'tapping', 'amplitude', 'is', 'decreased', 'the', 'typical', 'size', 'of', 'the', 'pentagon', 'arches', 'grows', 'significantly', 'as', 'a', 'consequence', 'a', 'pentagon', 'packing', 'reduces', 'its', 'packing', 'fraction', 'when', 'tapped', 'gently', 'in', 'contrast', 'with', 'the', 'behavior', 'found', 'in', 'rounded', 'particle', 'deposits']] | [-0.12457168823806569, 0.17619057126808912, -0.07795175649225712, 0.021890732968458906, -0.03614841930102557, -0.11836571690626442, 0.07496382227865979, 0.34526356268674135, -0.22051267201313748, -0.2969940150459297, 0.06954720104229636, -0.36253151383250953, -0.13866025432944298, 0.12502720016636887, -0.046122199995443224, 0.03900230889150407, 0.06959289478138089, 0.01065066914074123, -0.02376437363214791, -0.23285286765545607, 0.2091344131459482, 0.04066968960454687, 0.23290105448337273, -0.007714724028483033, 0.0060579026956111195, 0.012019480909220875, 0.021853686710819602, 0.1406608558166772, -0.18218822963535786, 0.028389780623838304, 0.14195703877601773, 0.011534530725330115, 0.245600802465342, -0.45638497481122614, -0.14377761244773865, 0.06033241730649024, 0.22223399318754672, 0.07151597637683153, -0.03127466187812388, -0.180880642386619, 0.06252582306507976, -0.15051605933345855, -0.18790905728936194, 0.01484986781142652, 0.053596554493997244, 0.0777891683881171, -0.1949184438958764, 0.12845750076696277, 0.09465260497294366, 0.0373858679109253, -0.06743711123825051, -0.1632358119066339, -0.0701774258527439, 0.08586949922173517, 0.05586556269321591, 0.04871054893126711, 0.24847654410637915, -0.1732244017254561, -0.06218754593282938, 0.4333557789027691, -0.009830129843467149, -0.19885296326014212, 0.2075952490605414, -0.19895307320170105, -0.08102362270466984, 0.2039591629989445, 0.17636837254744023, 0.08491509839892387, -0.06683662647687015, -0.02604735358210746, -0.08725754546001553, 0.20785677269101144, 0.17028140060137958, -0.010531992774340325, 0.23573022166267038, 0.167431059719529, 0.07969501318992116, 0.2747796896588989, -0.12674573030788452, -0.1132167358789593, -0.21298359334468842, -0.15739533167332412, -0.165486192535609, 0.03757399481721222, -0.12071978636071436, -0.2420816273521632, 0.2907135740740341, 0.017357500523794443, 0.2751157075096853, 0.1146349885314703, 0.24345510818529875, 0.06235993717680685, 0.14320584167260678, 0.08768199918558821, 0.2070355655439198, 0.12525155594805257, 0.07962409616215155, -0.18859873679699377, 0.07048212610650807, 0.017755226399749517] |
710.1613 | Kahler potentials for the MSSM inflation and the spectral index | Recently it has been argued that some of the fine-tuning problems of the MSSM
inflation associated with the existence of a saddle point along a flat
direction may be solved naturally in a class of supergravity models. Here we
extend the analysis and show that the constraints on the Kahler potentials in
these models are considerably relaxed when the location of the saddle point is
treated as a free variable. We also examine the effect of supergravity
corrections on inflationary predictions and find that they can slightly alter
the value of the spectral index. As an example, for flat direction field values
$|\bar{\phi}_0|=1\times10^{-4}M_P$ we find $n\sim0.92 ... 0.94$ while the
prediction of the MSSM inflation without any corrections is $n\sim0.92$.
| hep-th astro-ph | recently it has been argued that some of the finetuning problems of the mssm inflation associated with the existence of a saddle point along a flat direction may be solved naturally in a class of supergravity models here we extend the analysis and show that the constraints on the kahler potentials in these models are considerably relaxed when the location of the saddle point is treated as a free variable we also examine the effect of supergravity corrections on inflationary predictions and find that they can slightly alter the value of the spectral index as an example for flat direction field values barphi_01times104m_p we find nsim092 094 while the prediction of the mssm inflation without any corrections is nsim092 | [['recently', 'it', 'has', 'been', 'argued', 'that', 'some', 'of', 'the', 'finetuning', 'problems', 'of', 'the', 'mssm', 'inflation', 'associated', 'with', 'the', 'existence', 'of', 'a', 'saddle', 'point', 'along', 'a', 'flat', 'direction', 'may', 'be', 'solved', 'naturally', 'in', 'a', 'class', 'of', 'supergravity', 'models', 'here', 'we', 'extend', 'the', 'analysis', 'and', 'show', 'that', 'the', 'constraints', 'on', 'the', 'kahler', 'potentials', 'in', 'these', 'models', 'are', 'considerably', 'relaxed', 'when', 'the', 'location', 'of', 'the', 'saddle', 'point', 'is', 'treated', 'as', 'a', 'free', 'variable', 'we', 'also', 'examine', 'the', 'effect', 'of', 'supergravity', 'corrections', 'on', 'inflationary', 'predictions', 'and', 'find', 'that', 'they', 'can', 'slightly', 'alter', 'the', 'value', 'of', 'the', 'spectral', 'index', 'as', 'an', 'example', 'for', 'flat', 'direction', 'field', 'values', 'barphi_01times104m_p', 'we', 'find', 'nsim092', '094', 'while', 'the', 'prediction', 'of', 'the', 'mssm', 'inflation', 'without', 'any', 'corrections', 'is', 'nsim092']] | [-0.11548646055322526, 0.11666234318633134, -0.10738418955187282, 0.11480123932866765, -0.07333355511795601, -0.1517228353367155, 0.00964911472341367, 0.3603549645752004, -0.23450808930371342, -0.29116321970700637, 0.12204368483548149, -0.24876847906552, -0.13820049061905593, 0.1815539334061684, -0.06332444058980086, 0.01568465347008896, 0.054856768207110725, 0.05523663419619974, -0.09530610564578293, -0.2408716332765521, 0.33730692805015833, 0.051344475781159665, 0.2210822332337306, 0.05626075415759636, 0.05056515553211472, -0.049630805765728245, 0.02257416712055946, 0.04572804981104002, -0.12347651460775774, 0.08623085745835099, 0.17679700413840505, 0.07399844981786184, 0.22738077709900922, -0.3723588336263141, -0.2768732453375284, 0.16795996513522776, 0.14944398825875774, 0.14482430357622497, -0.04785909723081016, -0.2513377497550742, 0.0963265677183417, -0.13662381771478224, -0.1562885335437825, -0.059144098090874994, -0.014730481172968024, -0.03818357908136837, -0.26904160845703606, 0.060888471324468466, 0.019556051212491404, -0.009579732805362036, -0.09036152687622234, -0.11386802611503236, -0.094597760479544, 0.043370158290380115, 0.13038812189539573, 0.0285497666898601, 0.1299346185907529, -0.18743641036642908, -0.12632726633857036, 0.40402801867959826, -0.09496701522609861, -0.2008915112899809, 0.11943727657439765, -0.112301284005737, -0.16656541445790307, 0.09638877552612846, 0.12487908688791353, 0.14174388373543606, -0.1089302971784742, 0.18782489172660682, -0.02081523072135089, 0.14845373425562464, 0.06811481638377982, -0.010084263904116535, 0.24756574252036256, 0.10648449672715224, 0.08611435382847739, 0.11622550447595884, -0.07784824005522814, -0.11107322452027865, -0.37787486556596284, -0.11703143699560314, -0.12472117005181017, 0.04826927038234787, -0.1462528609611989, -0.1767586805558651, 0.41831734349373084, 0.1616483741080597, 0.23952652811040653, 0.0674540164061533, 0.23066915958670192, 0.14246683815646724, 0.08611031111072877, 0.0627292597120435, 0.3282900341550101, 0.07228782440230636, 0.07392018193033813, -0.2026163361292204, 0.01563410775671745, 0.05233166731315954] |
710.1614 | Motives of Azumaya algebras | We study the slice filtration for the K-theory of a sheaf of Azumaya algebras
A, and for the motive of a Severi-Brauer variety, the latter in the case of a
central simple algebra of prime degree over a field. Using the
Beilinson-Lichtenbaum conjecture, we apply our results to show the vanishing of
SK_2(A) for a central simple algebra A of square-free index.
| math.KT math.AG | we study the slice filtration for the ktheory of a sheaf of azumaya algebras a and for the motive of a severibrauer variety the latter in the case of a central simple algebra of prime degree over a field using the beilinsonlichtenbaum conjecture we apply our results to show the vanishing of sk_2a for a central simple algebra a of squarefree index | [['we', 'study', 'the', 'slice', 'filtration', 'for', 'the', 'ktheory', 'of', 'a', 'sheaf', 'of', 'azumaya', 'algebras', 'a', 'and', 'for', 'the', 'motive', 'of', 'a', 'severibrauer', 'variety', 'the', 'latter', 'in', 'the', 'case', 'of', 'a', 'central', 'simple', 'algebra', 'of', 'prime', 'degree', 'over', 'a', 'field', 'using', 'the', 'beilinsonlichtenbaum', 'conjecture', 'we', 'apply', 'our', 'results', 'to', 'show', 'the', 'vanishing', 'of', 'sk_2a', 'for', 'a', 'central', 'simple', 'algebra', 'a', 'of', 'squarefree', 'index']] | [-0.20467900678698644, -0.013794002550669381, -0.1392054881167705, 0.06306825165987992, -0.05634717169965877, -0.09396474195461048, -0.006975031625784812, 0.29589848205080777, -0.35027973091260334, -0.17404941422864795, 0.1042830761365562, -0.16312208951576843, -0.13429658806531644, 0.2560643217541644, -0.16482186002931634, -0.0761045297478005, 0.03635247523484171, 0.12646002206401746, -0.06233418703873138, -0.26239288900597174, 0.4443067143686482, 0.012103712777836157, 0.21808754258834925, 0.070012932399013, 0.13495344602212797, 0.055280185174807664, 0.008433955706289558, 0.00971653323131995, -0.13931162386644083, 0.17368697030011748, 0.2899903358975578, 0.04818609978270824, 0.23050682802425057, -0.3346904609657702, -0.11114337906378825, 0.18070139703875193, 0.10631775656012726, 0.05941954412360172, -0.07420782802901307, -0.17687287233143922, 0.14618458579004298, -0.27478941113780614, -0.17634100250166948, -0.05738305369178291, 0.06798269139549344, 0.007948988983712968, -0.28434333803712347, -0.0076886073411366, 0.07701416631213955, 0.19175642863160275, -0.10016742534172095, -0.07956670264362312, -0.06046444584890345, 0.07424156002120161, -0.052452680028852866, 0.033814433912487056, 0.10190880364265109, -0.1733262726090482, -0.18278801923648255, 0.34599629084228495, -0.07948632703208533, -0.18174480008663702, 0.10800566307467516, -0.21271770529937548, -0.19137744312403632, 0.11460071580759326, 0.06709678558113634, 0.1875898540019989, 0.04203479513373287, 0.15793618333781687, -0.16886128524898505, 0.07245214967072376, 0.06016037993316279, -0.05610584029469822, 0.15362334399499367, 0.1257187400211687, 0.03621113604148392, 0.16582072557133362, -0.030634756764916123, -0.01007492574634122, -0.36337848697773745, -0.27479309513859573, -0.1290945574702298, 0.16846241556169067, -0.13710290637820555, -0.1619241405583796, 0.5045461657716602, 0.10617001373015467, 0.18967833350885843, 0.1510629972870477, 0.24198000688777596, 0.07249668525478452, 0.08685179676127727, 0.005087886425498568, 0.1295950692452368, 0.2700384402701051, 0.001876152523213112, -0.12025906385273719, -0.07003150429179678, 0.16749892666264146] |
710.1615 | A single-shot measurement of the energy of product states in a
translation invariant spin chain can replace any quantum computation | In measurement-based quantum computation, quantum algorithms are implemented
via sequences of measurements. We describe a translationally invariant
finite-range interaction on a one-dimensional qudit chain and prove that a
single-shot measurement of the energy of an appropriate computational basis
state with respect to this Hamiltonian provides the output of any quantum
circuit. The required measurement accuracy scales inverse polynomially with the
size of the simulated quantum circuit. This shows that the implementation of
energy measurements on generic qudit chains is as hard as the realization of
quantum computation. Here a ''measurement'' is any procedure that samples from
the spectral measure induced by the observable and the state under
consideration. As opposed to measurement-based quantum computation, the
post-measurement state is irrelevant.
| quant-ph | in measurementbased quantum computation quantum algorithms are implemented via sequences of measurements we describe a translationally invariant finiterange interaction on a onedimensional qudit chain and prove that a singleshot measurement of the energy of an appropriate computational basis state with respect to this hamiltonian provides the output of any quantum circuit the required measurement accuracy scales inverse polynomially with the size of the simulated quantum circuit this shows that the implementation of energy measurements on generic qudit chains is as hard as the realization of quantum computation here a measurement is any procedure that samples from the spectral measure induced by the observable and the state under consideration as opposed to measurementbased quantum computation the postmeasurement state is irrelevant | [['in', 'measurementbased', 'quantum', 'computation', 'quantum', 'algorithms', 'are', 'implemented', 'via', 'sequences', 'of', 'measurements', 'we', 'describe', 'a', 'translationally', 'invariant', 'finiterange', 'interaction', 'on', 'a', 'onedimensional', 'qudit', 'chain', 'and', 'prove', 'that', 'a', 'singleshot', 'measurement', 'of', 'the', 'energy', 'of', 'an', 'appropriate', 'computational', 'basis', 'state', 'with', 'respect', 'to', 'this', 'hamiltonian', 'provides', 'the', 'output', 'of', 'any', 'quantum', 'circuit', 'the', 'required', 'measurement', 'accuracy', 'scales', 'inverse', 'polynomially', 'with', 'the', 'size', 'of', 'the', 'simulated', 'quantum', 'circuit', 'this', 'shows', 'that', 'the', 'implementation', 'of', 'energy', 'measurements', 'on', 'generic', 'qudit', 'chains', 'is', 'as', 'hard', 'as', 'the', 'realization', 'of', 'quantum', 'computation', 'here', 'a', 'measurement', 'is', 'any', 'procedure', 'that', 'samples', 'from', 'the', 'spectral', 'measure', 'induced', 'by', 'the', 'observable', 'and', 'the', 'state', 'under', 'consideration', 'as', 'opposed', 'to', 'measurementbased', 'quantum', 'computation', 'the', 'postmeasurement', 'state', 'is', 'irrelevant']] | [-0.13498180359406317, 0.1778261785469059, -0.0842487595255385, 0.02159614213487963, 0.014507949923579934, -0.20170028629016226, 0.040501897892437314, 0.34996333723778233, -0.25609649983312965, -0.28389282900098506, 0.08167297465280637, -0.2385535710899672, -0.08265129589483518, 0.22696648749421125, -0.023847039334305774, 0.16276693132025102, 0.1118673051691794, 0.058158125524886514, -0.10302223290337305, -0.20853566412790484, 0.2906595536668104, 0.08675284048409335, 0.28376418415128307, 0.010883155057281099, 0.11932854365338297, 0.04108070596238645, 0.017588191978758622, -0.005957110319286585, -0.11398404209473231, 0.10987690875811518, 0.254708120983364, 0.1103714377357147, 0.22488139528280296, -0.4169022494285297, -0.18834486519996108, 0.11042205891141496, 0.09380191963502527, 0.19790139933265433, -0.025918563150902504, -0.30546379975090193, 0.041539762161296456, -0.17745570918279036, -0.07984800671595109, -0.11849669476251017, -0.015979136019444264, -0.04258890635091342, -0.25207028779819485, 0.05790104016959041, 0.07657515532493654, 0.04470779968253454, -0.003316746836825579, -0.033227518130438165, 0.03806016219294622, 0.10039138934817635, -0.09149579432041642, 0.024659245239742913, 0.18282549199452544, -0.11629533716438323, -0.2064709538327796, 0.36252609854798856, -0.037391475082899465, -0.2257078432579752, 0.1414083135353417, -0.06784069025889039, -0.11654217487999372, 0.0758820366145683, 0.11604723138656436, 0.06828781767912648, -0.11528462318687879, 0.13862384655297647, -0.020848144871034043, 0.22687512771358534, -0.01281022113951377, 0.12444909087170948, 0.13292181321435428, 0.13011621391134603, 0.10360513521092278, 0.20484524966851503, -0.07807794386034776, -0.16145512261408373, -0.3581358044243911, -0.20983629561804173, -0.2867974654160941, 0.1297341185355825, -0.0748156285529248, -0.1770853863935135, 0.4018380080952364, 0.12975037394619543, 0.19029307513333418, 0.06044524729236209, 0.34305450565205153, 0.15519827955202864, 0.06635325011687682, 0.0544160265326813, 0.18751507342652174, 0.170799399447283, 0.022996213238201096, -0.29322941466860725, 0.07298972155456628, 0.03969728945903167] |
710.1616 | Observation of Seasonal Variations with the MINOS Far Detector | An observation of seasonal variations in underground muon rate, $R_{\mu}$,
has been performed at Soudan, MN, by the MINOS Far Detector. The four percent
fluctuation seen over three years was highly correlated to the temperature
variations of the upper atmosphere. The coefficient relating variations in
temperature to variations in muon rate was found to be: $\alpha_T =
(T/R_{\mu})(\partial R_{\mu}/ \partial T) = 0.87 \pm 0.03$, which is near the
expectation of 0.91.
| hep-ex | an observation of seasonal variations in underground muon rate r_mu has been performed at soudan mn by the minos far detector the four percent fluctuation seen over three years was highly correlated to the temperature variations of the upper atmosphere the coefficient relating variations in temperature to variations in muon rate was found to be alpha_t tr_mupartial r_mu partial t 087 pm 003 which is near the expectation of 091 | [['an', 'observation', 'of', 'seasonal', 'variations', 'in', 'underground', 'muon', 'rate', 'r_mu', 'has', 'been', 'performed', 'at', 'soudan', 'mn', 'by', 'the', 'minos', 'far', 'detector', 'the', 'four', 'percent', 'fluctuation', 'seen', 'over', 'three', 'years', 'was', 'highly', 'correlated', 'to', 'the', 'temperature', 'variations', 'of', 'the', 'upper', 'atmosphere', 'the', 'coefficient', 'relating', 'variations', 'in', 'temperature', 'to', 'variations', 'in', 'muon', 'rate', 'was', 'found', 'to', 'be', 'alpha_t', 'tr_mupartial', 'r_mu', 'partial', 't', '087', 'pm', '003', 'which', 'is', 'near', 'the', 'expectation', 'of', '091']] | [-0.10582293328437684, 0.21309435848957367, -0.01652404673370546, 0.06385205022862478, 0.025682804026249527, -0.09005125636315864, 0.03366015859849184, 0.32805125778405997, -0.20579387289573156, -0.3655636676357708, 0.1287774649479062, -0.39940472832624463, 0.015294128596998644, 0.20917368303997902, -0.039830189927116684, 0.04471745062113294, -0.004297225898050744, 0.05361036931508747, -0.10810057548941046, -0.26373919516639865, 0.121820211462825, 0.17080994865492635, 0.26743484863444517, 0.11443050126747592, 0.09332436945144276, -0.0927174508612117, -0.03368391358442065, -0.011357998772375826, -0.11736651966213316, 0.0041920912546524105, 0.2627789359539747, 0.04113158413067298, 0.13068474487711987, -0.3518973380273235, -0.18531951093641313, 0.11008497030622717, 0.10006686914172294, -0.036246420419100076, 0.02315013909685439, -0.28533671337409294, 0.09033392174371882, -0.15737176006254944, -0.11117966866552614, 0.055256624151007745, 0.07969181487957637, -0.0892907676651426, -0.29277299943825474, 0.12917478677168812, -0.03575978598192982, 0.13950830453667667, -0.0733837510317402, -0.2350195137028029, -0.005666302820748609, 0.05408687714784258, 0.14137864761742885, 0.13288612984900322, 0.15337751427179444, -0.058368158256770046, -0.06780178676042166, 0.2916719922525943, -0.19139326991432387, -0.06886136315870976, 0.10964918667045624, -0.26197068824473285, -0.08866248815657868, 0.25916821066884027, 0.15175784241570078, 0.08560899556007075, -0.22798945241864177, 0.0449483261268208, -0.0226996682341332, 0.252927505546182, 0.11855775700963062, -0.018223989997868954, 0.2413621716660218, 0.1682113480038833, 0.08103455843039505, 0.05006093694322297, -0.2648186523642769, -0.025273422089715798, -0.24954448660255235, -0.09188248650120247, -0.08113494169209963, 0.0834859560135806, -0.0496618037463834, -0.06940441324959333, 0.355188247612745, 0.1122402058293422, 0.2178553939945456, -0.028307378614334848, 0.2405960219439821, 0.11859443575224798, 0.07284306332914402, 0.0439682107999165, 0.33807083254383097, 0.16447737645965232, 0.17114905658535715, -0.26524079185438115, 0.15798704598125987, 0.027466872126619885] |
710.1617 | MINOS Observations of Shadowing in the Muon Flux Underground | A high significance observation of two muon signals, the shadow of the sun
and moon, have been seen by the \unit[5.4]{kt} MINOS Far Detector, at a depth
of \unit[2070]{mwe}. The distribution of angular separation of muons near the
moon was well described by a Gaussian, which was used to determine the angular
resolution ($0.34^{\circ}\pm0.07^{\circ}$) and pointing
($0.3^{\circ}\pm0.05^{\circ}$) of the detector.
| hep-ex | a high significance observation of two muon signals the shadow of the sun and moon have been seen by the unit54kt minos far detector at a depth of unit2070mwe the distribution of angular separation of muons near the moon was well described by a gaussian which was used to determine the angular resolution 034circpm007circ and pointing 03circpm005circ of the detector | [['a', 'high', 'significance', 'observation', 'of', 'two', 'muon', 'signals', 'the', 'shadow', 'of', 'the', 'sun', 'and', 'moon', 'have', 'been', 'seen', 'by', 'the', 'unit54kt', 'minos', 'far', 'detector', 'at', 'a', 'depth', 'of', 'unit2070mwe', 'the', 'distribution', 'of', 'angular', 'separation', 'of', 'muons', 'near', 'the', 'moon', 'was', 'well', 'described', 'by', 'a', 'gaussian', 'which', 'was', 'used', 'to', 'determine', 'the', 'angular', 'resolution', '034circpm007circ', 'and', 'pointing', '03circpm005circ', 'of', 'the', 'detector']] | [-0.06472311845781016, 0.15953426181139158, -0.10427709573169912, 0.10422676740147706, -0.02140850738422679, -0.07043551820762721, -0.006793536911053317, 0.3254018216393888, -0.21222983097790607, -0.400955852586776, 0.1136657710054091, -0.3261900007325624, -0.030684819029244994, 0.16485513521391632, -0.01659743259993515, 0.11462682058169905, 0.07519581107356187, 0.05172935986359205, -0.08526349852659873, -0.17475055138181364, 0.21692928259186114, 0.21494517329015903, 0.2141812506597489, 0.05032022425439209, 0.1822528233585347, -0.00018817207144041146, -0.0913771219285471, 0.013609855701880795, -0.07001489894797228, 0.050411653713256656, 0.20923764305189252, 0.12402062198920508, 0.1307186550859894, -0.37877306142555817, -0.20694011268538556, 0.05874097679874727, 0.12776630531464303, 0.0420358582071328, -0.03479317209816405, -0.3573542990987854, 0.08634098384728921, -0.15687843142742558, -0.17183886197329098, 0.05428112484514713, -0.005365620766367231, 0.010451476788148284, -0.21568825886843765, 0.020139782032596747, 0.08439415602021784, 0.11444357203851853, -0.023796365355207984, -0.1717102682118171, -0.003099293028104252, 0.11339124582342006, 0.07941653559516583, 0.06308882768332426, 0.13834700187102758, -0.127661829664638, -0.10485385240255189, 0.3337210947980306, -0.04119623099852886, -0.1434017445093819, 0.17793004041803734, -0.26371854884616497, -0.0184679917458977, 0.21454063618356095, 0.1545919913499217, 0.07764758151357196, -0.1886305918784014, 0.048097646859787346, -0.04386666031288249, 0.1369054413766467, 0.15551516683106975, 0.012091484436366175, 0.30041123148319976, 0.18595556991307863, 0.10428667221900209, 0.10157170642300375, -0.32606569012360914, -0.004523330767239843, -0.24868238148441638, -0.12985100899926952, -0.22237689061356442, 0.043626519497982894, -0.004942870665087996, -0.07918991600828511, 0.4205028331073533, 0.08826844726822206, 0.24541772369827544, -0.03248397475233235, 0.3116802776431931, 0.07485249857251931, 0.09743000231018024, -0.006786075586985264, 0.354204717441462, 0.1360719527334108, 0.14310641570149787, -0.2378704382385227, 0.07735566060624219, 0.014228160393291287] |
710.1618 | Statistics of diffusive and localized fields in the vortex core | The statistics of the field structure in the vortex core surrounding phase
singularities in random wave fields are measured and calculated for diffusive
and localized waves. Excellent agreement is found between experiment and
theory. The variation of phase with geometric angle is deterministic, depending
only upon the eccentricity of elliptical intensity contours, whose probability
distribution is shown to be universal. The distribution of vorticity is shown
to reflect both the vorticity distribution in the Gaussian limit and the
mesoscopic distribution of total transmission.
| cond-mat.mes-hall | the statistics of the field structure in the vortex core surrounding phase singularities in random wave fields are measured and calculated for diffusive and localized waves excellent agreement is found between experiment and theory the variation of phase with geometric angle is deterministic depending only upon the eccentricity of elliptical intensity contours whose probability distribution is shown to be universal the distribution of vorticity is shown to reflect both the vorticity distribution in the gaussian limit and the mesoscopic distribution of total transmission | [['the', 'statistics', 'of', 'the', 'field', 'structure', 'in', 'the', 'vortex', 'core', 'surrounding', 'phase', 'singularities', 'in', 'random', 'wave', 'fields', 'are', 'measured', 'and', 'calculated', 'for', 'diffusive', 'and', 'localized', 'waves', 'excellent', 'agreement', 'is', 'found', 'between', 'experiment', 'and', 'theory', 'the', 'variation', 'of', 'phase', 'with', 'geometric', 'angle', 'is', 'deterministic', 'depending', 'only', 'upon', 'the', 'eccentricity', 'of', 'elliptical', 'intensity', 'contours', 'whose', 'probability', 'distribution', 'is', 'shown', 'to', 'be', 'universal', 'the', 'distribution', 'of', 'vorticity', 'is', 'shown', 'to', 'reflect', 'both', 'the', 'vorticity', 'distribution', 'in', 'the', 'gaussian', 'limit', 'and', 'the', 'mesoscopic', 'distribution', 'of', 'total', 'transmission']] | [-0.1634287173741957, 0.17535842694790968, -0.1286117204363985, 0.07654666245903775, -0.02130774791206581, -0.06894358602094364, -0.022036893865519977, 0.37106992820479784, -0.25574972899069626, -0.2775366677599679, 0.03308466450922774, -0.27060928803879813, -0.11417790716065161, 0.16934787993689618, -0.0029060403838843465, 0.08864040888638336, 0.0033373390324413776, 0.051187822931861304, -0.04752235021442175, -0.17335082966194723, 0.3127211948284453, 0.07854032926037009, 0.34505698412477254, 0.028290959110158127, 0.0892039289731667, -0.013438488295054939, -0.027174532935247724, 0.03755287561111197, -0.11907911033605237, 0.05207252223605672, 0.18623791704605142, 0.027401445669133263, 0.1609485651147608, -0.4262350955192583, -0.21870737808969726, 0.06933723383930972, 0.15710382872115236, 0.08475239466067898, -0.009552371853693243, -0.27779365383672067, 0.0412968579477754, -0.10086150526024222, -0.17772498635255385, 0.0006212133981556777, 0.05742207865640297, 0.10692462823297604, -0.27522576960288997, 0.1430487856886024, 0.04459171621156969, 0.0336451618090631, -0.0437122990983168, -0.09313329209360373, -0.08966683008405099, 0.08898512146110277, 0.04808939096843263, 0.07178013253934591, 0.14204513286072087, -0.16837252394846045, -0.0386312593851822, 0.3540623859805335, -0.07037706563181906, -0.1976827946098813, 0.11835239795092718, -0.24315254684223467, -0.02560407522762845, 0.1794117499305586, 0.14151531073309662, 0.060718385188514926, -0.10215909919050713, 0.06060573063139994, -0.01777508704490393, 0.17012675259969232, 0.10398583004744835, 0.03821265103261433, 0.25818121554442197, 0.1148185383693977, 0.048141072577157294, 0.10068297951975949, -0.1692564666035574, -0.18243042946265764, -0.2863223288903933, -0.12073182024016797, -0.24266328282250338, 0.001143869630261661, -0.10424267800723999, -0.2023872919850534, 0.3928936922653432, 0.1083752300298537, 0.21880094581585185, 0.043250501355021655, 0.25028072629707404, 0.16489209550017692, -0.0016648319426430277, 0.06973752882668233, 0.2728611464690731, 0.21614712669727315, 0.07993077729121749, -0.2368684192188084, 0.11044730281412422, -0.004624719585639885] |
710.1619 | Meissner screening masses in gluonic phase | A numerical analysis for the Meissner mass in the simplest gluonic phase (the
minimal cylindrical gluonic phase II) is performed in the framework of the
gauged Nambu-Jona-Lasinio model with cold two-flavor quark matter. We derive
Meissner mass formulae without using the numerical second derivative. It is
revealed that the gapless mode yields a characterized contribution to the
Meissner mass. We also find that there are large and positive contributions
from the tree gluon potential term to the transverse modes of gluons. It is
shown that the simplest gluonic phase resolves the chromomagnetic instability
in a rather wide region.
| hep-ph cond-mat.supr-con nucl-th | a numerical analysis for the meissner mass in the simplest gluonic phase the minimal cylindrical gluonic phase ii is performed in the framework of the gauged nambujonalasinio model with cold twoflavor quark matter we derive meissner mass formulae without using the numerical second derivative it is revealed that the gapless mode yields a characterized contribution to the meissner mass we also find that there are large and positive contributions from the tree gluon potential term to the transverse modes of gluons it is shown that the simplest gluonic phase resolves the chromomagnetic instability in a rather wide region | [['a', 'numerical', 'analysis', 'for', 'the', 'meissner', 'mass', 'in', 'the', 'simplest', 'gluonic', 'phase', 'the', 'minimal', 'cylindrical', 'gluonic', 'phase', 'ii', 'is', 'performed', 'in', 'the', 'framework', 'of', 'the', 'gauged', 'nambujonalasinio', 'model', 'with', 'cold', 'twoflavor', 'quark', 'matter', 'we', 'derive', 'meissner', 'mass', 'formulae', 'without', 'using', 'the', 'numerical', 'second', 'derivative', 'it', 'is', 'revealed', 'that', 'the', 'gapless', 'mode', 'yields', 'a', 'characterized', 'contribution', 'to', 'the', 'meissner', 'mass', 'we', 'also', 'find', 'that', 'there', 'are', 'large', 'and', 'positive', 'contributions', 'from', 'the', 'tree', 'gluon', 'potential', 'term', 'to', 'the', 'transverse', 'modes', 'of', 'gluons', 'it', 'is', 'shown', 'that', 'the', 'simplest', 'gluonic', 'phase', 'resolves', 'the', 'chromomagnetic', 'instability', 'in', 'a', 'rather', 'wide', 'region']] | [-0.1310184321268842, 0.2444348712847479, -0.10451491766642514, 0.1186487592022619, -0.09661985936156493, -0.08337808146179483, 0.028208585795756354, 0.3113893464882383, -0.15254773154655205, -0.23289048838980345, 0.019225086400294866, -0.2712838380901637, -0.10136399708916338, 0.09003128807003401, 0.03101448214592707, 0.029308980573158786, -0.010944480888963657, 0.025186754183425586, -0.08098627148167592, -0.19385714844410898, 0.35165084030583726, -0.022867725553865334, 0.23830264684154975, 0.13931577828503688, 0.08076116821683506, -0.03124793357576947, -0.028558157940338155, 0.005220860860557581, -0.12970988364402877, -0.04488540347665548, 0.18918684191885404, 0.014633157157472201, 0.14980514087638228, -0.369408691568034, -0.20412643303933117, 0.12444464807940304, 0.14395612999986934, 0.16376118901736883, -0.06762941750906865, -0.27036104507611264, 0.06734222306736878, -0.23468442399967082, -0.1833126060569621, -0.10554838455187118, -0.014468971293001455, -0.12563200984910436, -0.3167568758909343, 0.13401424685910068, 0.014069546460725215, -0.007752894994099529, -0.050058585829196534, -0.16206899420263207, -0.0989429363220626, 0.015598414622589337, 0.12186689254927582, 0.09883459757452792, 0.12169893103537663, -0.21169573678730094, -0.08833317901007831, 0.3646494927911126, -0.08006584566390636, -0.17458973319402762, 0.13248380964945014, -0.1928993849825038, -0.09347096532203104, 0.17133131605781698, 0.09587797190879985, 0.10297414884523592, -0.16946954746749632, 0.11224126314913037, -0.08531630231181578, 0.17181193547522916, 0.05046226448683562, 0.025610160956732995, 0.2690832614138418, 0.19764732132304688, -0.002090818172662842, 0.1793361840655609, -0.07912321038050008, -0.12628827197952386, -0.3804864382029188, -0.08959672364824432, -0.1663197134060153, -0.029440101377466426, -0.10527764705508087, -0.2024218149216518, 0.38846739013774356, 0.11548130975903145, 0.1557628449066827, 0.0013312695034760603, 0.3205225168518266, 0.12248330765251754, 0.11039832239847022, 0.09051576340856145, 0.3030792415968846, 0.21486107617312547, 0.14890920783898542, -0.3269499152930268, -0.0411399339031124, 0.12459843262212769] |
710.162 | A new perspective on the Frenkel-Zhu fusion rule theorem | In this paper we prove a formula for fusion coefficients of affine Kac-Moody
algebras first conjectured by Walton [Wal2], and rediscovered in [Fe]. It is a
reformulation of the Frenkel-Zhu affine fusion rule theorem [FZ], written so
that it can be seen as a beautiful generalization of the classical
Parasarathy-Ranga Rao-Varadarajan tensor product theorem [PRV].
| math.RT hep-th math-ph math.MP math.QA | in this paper we prove a formula for fusion coefficients of affine kacmoody algebras first conjectured by walton wal2 and rediscovered in fe it is a reformulation of the frenkelzhu affine fusion rule theorem fz written so that it can be seen as a beautiful generalization of the classical parasarathyranga raovaradarajan tensor product theorem prv | [['in', 'this', 'paper', 'we', 'prove', 'a', 'formula', 'for', 'fusion', 'coefficients', 'of', 'affine', 'kacmoody', 'algebras', 'first', 'conjectured', 'by', 'walton', 'wal2', 'and', 'rediscovered', 'in', 'fe', 'it', 'is', 'a', 'reformulation', 'of', 'the', 'frenkelzhu', 'affine', 'fusion', 'rule', 'theorem', 'fz', 'written', 'so', 'that', 'it', 'can', 'be', 'seen', 'as', 'a', 'beautiful', 'generalization', 'of', 'the', 'classical', 'parasarathyranga', 'raovaradarajan', 'tensor', 'product', 'theorem', 'prv']] | [-0.08575375850957173, 0.035503298648668885, -0.1250562921811182, 0.06890996020788756, -0.11059400972981866, -0.16624573880555824, 0.010899979766691104, 0.2902113338215993, -0.351072303735866, -0.1752943409821735, 0.10128434692384101, -0.18924970151140139, -0.24067326413037685, 0.20282314544042143, -0.15610774970040298, -0.03334504487709357, 0.05813916956629747, 0.0798645498445974, -0.08420796579985808, -0.303917462973354, 0.29093108800812983, -2.0383736297774773e-05, 0.2552223642213413, 0.09280515146943238, 0.13670309367052352, 0.04676650597964628, -0.05920318918875777, 0.0031370301372729815, -0.10020459384745314, 0.11443104009287289, 0.3416653611840537, 0.11165765793367217, 0.22513047954103407, -0.33846631148256934, -0.11651531880824433, 0.12229400903631288, 0.1680757575489294, 0.05192762021369372, -0.01737781526753679, -0.2538215591787146, 0.0670755205434174, -0.2644785077472289, -0.19059953896794468, -0.07382223006481162, 0.06632462930596936, -0.04922618416066353, -0.2726771624472279, 0.07570210609656687, 0.18192155600095597, 0.07921221902590612, -0.07769144727633549, -0.11947797029279172, -0.029873764661785502, 0.004305794020183384, -0.019331718530828275, 0.07831875027085726, 0.07754507702058898, -0.06772006522917834, -0.16684293703964123, 0.35018887220380396, -0.0441375227080873, -0.20413769860393727, 0.06437339735342763, -0.12486197214681082, -0.21265451398749763, 0.05127819426930868, 0.06392760001696073, 0.15168005564751533, -0.1038524540177045, 0.14998880510393064, -0.16122776210963471, -0.0055815471837726924, 0.17429132970014158, -0.030334665645988516, 0.15186467512103263, 0.03943812635798867, 0.012988508195401384, 0.1588387811946002, 0.05656030104280664, -0.03215415220564374, -0.33353145681590274, -0.24492005887441337, -0.17540893234455815, 0.1558111227977161, -0.06513785461580622, -0.17323588742874563, 0.3069807544995386, 0.06896478241609517, 0.1469374573979831, 0.08478053823525372, 0.21088119653555062, 0.16989275978546806, 0.13511847500474408, 0.03815411887346552, 0.19062926242342934, 0.2790932641051208, 0.055524293010911115, -0.06587068461857808, 0.0001426096736954955, 0.2699291075651462] |
710.1621 | Unitarizablity of premodular categories | We study the unitarizability of premodular categories constructed from
representations of quantum group at roots of unity. We introduce
\emph{Grothendieck unitarizability} as a natural generalization of
unitarizability to any class of premodular categories with a common
Grothendieck semiring. We obtain new results for quantum groups of Lie types
$F_4$ and $G_2$, and improve the known results for Lie types $B$ and $C$.
| math.QA | we study the unitarizability of premodular categories constructed from representations of quantum group at roots of unity we introduce emphgrothendieck unitarizability as a natural generalization of unitarizability to any class of premodular categories with a common grothendieck semiring we obtain new results for quantum groups of lie types f_4 and g_2 and improve the known results for lie types b and c | [['we', 'study', 'the', 'unitarizability', 'of', 'premodular', 'categories', 'constructed', 'from', 'representations', 'of', 'quantum', 'group', 'at', 'roots', 'of', 'unity', 'we', 'introduce', 'emphgrothendieck', 'unitarizability', 'as', 'a', 'natural', 'generalization', 'of', 'unitarizability', 'to', 'any', 'class', 'of', 'premodular', 'categories', 'with', 'a', 'common', 'grothendieck', 'semiring', 'we', 'obtain', 'new', 'results', 'for', 'quantum', 'groups', 'of', 'lie', 'types', 'f_4', 'and', 'g_2', 'and', 'improve', 'the', 'known', 'results', 'for', 'lie', 'types', 'b', 'and', 'c']] | [-0.13274949587515142, 0.020349888375303785, -0.04389873552365137, 0.06370994344842239, -0.12272728335295545, -0.14501783922009293, 0.03978494015049006, 0.3546223950679185, -0.31680425803070184, -0.22837113242474247, 0.0640464288022247, -0.20408587890570282, -0.1584889351802527, 0.22447812142705575, -0.1354797272103243, -0.0794079963301049, 0.05876501435871984, 0.15719976767775465, -0.12390261190012097, -0.28051680211573227, 0.4266958402652965, -0.06606686115646582, 0.2216393709121669, -0.01949837822161737, 0.10666217983959884, -0.002725077647960088, -0.014040089136020083, -0.023229552814584286, -0.1575325502571268, 0.15901570641970048, 0.3386176740597995, 0.11105475845731429, 0.1914693372988249, -0.3143872260345054, -0.0975209527847464, 0.18211400383877277, 0.12497378175803384, 0.06471799052564702, -0.03786374988858817, -0.3164300759872574, 0.15523852813286615, -0.23418925467451088, -0.11101033019863801, -0.09454632164208127, 0.06140537643194443, 0.023656282234234643, -0.2535584289790513, 0.011961405982309188, 0.07667202210114872, 0.13757384876595605, -0.06612120576386081, -0.16950665128829537, 0.017623362459669837, 0.16406592345781257, -0.05312733861358195, -0.02762234875489576, 0.08293271305222737, -0.1456440745501733, -0.2107407269297076, 0.4248366870108198, -0.031013337727330746, -0.1631708898444156, 0.20198130741387177, -0.13486363758623113, -0.2214901959141869, 0.05251365961110006, 0.09746084640138462, 0.13684886188597464, -0.01823970484623655, 0.11606532832718316, -0.15271259575593668, 0.03301469650936359, 0.09880330821224412, 0.0432374013862649, 0.12574245591388375, 0.0899467540706401, 0.015760446486414455, 0.15535598306260148, 0.035826063753090436, 0.004221882098583413, -0.3532949116874914, -0.2316962072595221, -0.07066290275590709, 0.12618427460662043, -0.09378737321845829, -0.1675192776220072, 0.43900704032695687, 0.10547918837028937, 0.16790618601667343, 0.16226443704828375, 0.15991859180761164, 0.04046163492507805, 0.1184520659286941, 0.03970886357005764, 0.09028098741393598, 0.24309088624097774, -0.036555312650247675, -0.11286607123510607, -0.08986855583021143, 0.1843620417868627] |
710.1622 | Chaperones as integrators of cellular networks: Changes of cellular
integrity in stress and diseases | Cellular networks undergo rearrangements during stress and diseases. In
un-stressed state the yeast protein-protein interaction network (interactome)
is highly compact, and the centrally organized modules have a large overlap.
During stress several original modules became more separated, and a number of
novel modules also appear. A few basic functions, such as the proteasome
preserve their central position. However, several functions with high energy
demand, such the cell-cycle regulation loose their original centrality during
stress. A number of key stress-dependent protein complexes, such as the
disaggregation-specific chaperone, Hsp104, gain centrality in the stressed
yeast interactome. Molecular chaperones, heat shock, or stress proteins form
complex interaction networks (the chaperome) with each other and their
partners. Here we show that the human chaperome recovers the segregation of
protein synthesis-coupled and stress-related chaperones observed in yeast
recently. Examination of yeast and human interactomes shows that (1) chaperones
are inter-modular integrators of protein-protein interaction networks, which
(2) often bridge hubs and (3) are favorite candidates for extensive
phosphorylation. Moreover, chaperones (4) become more central in the
organization of the isolated modules of the stressed yeast protein-protein
interaction network, which highlights their importance in the de-coupling and
re-coupling of network modules during and after stress. Chaperone-mediated
evolvability of cellular networks may play a key role in cellular adaptation
during stress and various polygenic and chronic diseases, such as cancer,
diabetes or neurodegeneration.
| q-bio.MN | cellular networks undergo rearrangements during stress and diseases in unstressed state the yeast proteinprotein interaction network interactome is highly compact and the centrally organized modules have a large overlap during stress several original modules became more separated and a number of novel modules also appear a few basic functions such as the proteasome preserve their central position however several functions with high energy demand such the cellcycle regulation loose their original centrality during stress a number of key stressdependent protein complexes such as the disaggregationspecific chaperone hsp104 gain centrality in the stressed yeast interactome molecular chaperones heat shock or stress proteins form complex interaction networks the chaperome with each other and their partners here we show that the human chaperome recovers the segregation of protein synthesiscoupled and stressrelated chaperones observed in yeast recently examination of yeast and human interactomes shows that 1 chaperones are intermodular integrators of proteinprotein interaction networks which 2 often bridge hubs and 3 are favorite candidates for extensive phosphorylation moreover chaperones 4 become more central in the organization of the isolated modules of the stressed yeast proteinprotein interaction network which highlights their importance in the decoupling and recoupling of network modules during and after stress chaperonemediated evolvability of cellular networks may play a key role in cellular adaptation during stress and various polygenic and chronic diseases such as cancer diabetes or neurodegeneration | [['cellular', 'networks', 'undergo', 'rearrangements', 'during', 'stress', 'and', 'diseases', 'in', 'unstressed', 'state', 'the', 'yeast', 'proteinprotein', 'interaction', 'network', 'interactome', 'is', 'highly', 'compact', 'and', 'the', 'centrally', 'organized', 'modules', 'have', 'a', 'large', 'overlap', 'during', 'stress', 'several', 'original', 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710.1623 | Linear sections of the Severi variety and moduli of curves | We study the Severi variety $V_{d,g}$ of plane curves of degree $d$ and
geometric genus $g$. Corresponding to every such variety, there is a
one-parameter family of genus $g$ stable curves whose numerical invariants we
compute. Building on the work of Caporaso and Harris, we derive a recursive
formula for the degrees of the Hodge bundle on the families in question. For
$d$ large enough, these families induce moving curves in $\bar{M}_g$. We use
this to derive lower bounds for the slopes of effective divisors on
$\bar{M}_g$. Another application of our results is to various enumerative
problems on $V_{d,g}$.
| math.AG | we study the severi variety v_dg of plane curves of degree d and geometric genus g corresponding to every such variety there is a oneparameter family of genus g stable curves whose numerical invariants we compute building on the work of caporaso and harris we derive a recursive formula for the degrees of the hodge bundle on the families in question for d large enough these families induce moving curves in barm_g we use this to derive lower bounds for the slopes of effective divisors on barm_g another application of our results is to various enumerative problems on v_dg | [['we', 'study', 'the', 'severi', 'variety', 'v_dg', 'of', 'plane', 'curves', 'of', 'degree', 'd', 'and', 'geometric', 'genus', 'g', 'corresponding', 'to', 'every', 'such', 'variety', 'there', 'is', 'a', 'oneparameter', 'family', 'of', 'genus', 'g', 'stable', 'curves', 'whose', 'numerical', 'invariants', 'we', 'compute', 'building', 'on', 'the', 'work', 'of', 'caporaso', 'and', 'harris', 'we', 'derive', 'a', 'recursive', 'formula', 'for', 'the', 'degrees', 'of', 'the', 'hodge', 'bundle', 'on', 'the', 'families', 'in', 'question', 'for', 'd', 'large', 'enough', 'these', 'families', 'induce', 'moving', 'curves', 'in', 'barm_g', 'we', 'use', 'this', 'to', 'derive', 'lower', 'bounds', 'for', 'the', 'slopes', 'of', 'effective', 'divisors', 'on', 'barm_g', 'another', 'application', 'of', 'our', 'results', 'is', 'to', 'various', 'enumerative', 'problems', 'on', 'v_dg']] | [-0.185926374217326, 0.055841036008040634, -0.12782775757909573, 0.07920103230998109, -0.10157178661720169, -0.12460062960444977, 0.0479613106948855, 0.31401128494980357, -0.26890025857008165, -0.3038712865249677, 0.09473568315834108, -0.2514899395255729, -0.17624439504656075, 0.2996872000518547, -0.15675705623803565, 0.02164747855729527, 0.03737570891730638, 0.03008225929424769, -0.0834589617872479, -0.3083067284250218, 0.3810683324206338, -0.08418630935120011, 0.20370539535551963, 0.07184082633848632, 0.0919637519235939, 0.029546086422421715, -0.00481771356002851, -0.02636493631930213, -0.2476317204071698, 0.20107501135631042, 0.26829004077936963, 0.09515893935329384, 0.13485448471637387, -0.35131176560499816, -0.16656274687160144, 0.2083551845974242, 0.08032982982930285, 0.08186785453422503, 0.006722550364117129, -0.18660616462655139, 0.09562303710051558, -0.09550003774568198, -0.2341965010314427, -0.09409418647563217, 0.09690750682858204, 0.025813558954990122, -0.19975563144838118, -0.04146117085944908, 0.07357952704258038, 0.15640880948290078, 0.0025458559582028726, -0.15012621992465222, -0.06061305592866671, 0.057746788745539054, 0.024130131950545492, 0.03837920264623156, 0.04326785773901984, -0.10843907138482653, -0.09272197887978771, 0.3351686394725211, -0.0847607259497498, -0.20097293979441277, 0.15501782952836066, -0.11911190225568723, -0.18699686861869813, 0.11143880737757292, 0.19959879162335636, 0.21806258766563855, -0.01253127023540061, 0.137332723954589, -0.12060670000548014, 0.05574258254615195, 0.11398846143386279, -0.03125514162497388, 0.16138533685553932, 0.07787007356363565, 0.07618999806458526, 0.15083857469208953, -0.05795537483774953, -0.04659421154006262, -0.3530229731942668, -0.1740926259639438, -0.11788626526120222, 0.11779411107221162, -0.158424119532962, -0.19720793840348383, 0.440900206189565, 0.05714205272890853, 0.21713295946781985, 0.15266974941789727, 0.2059458141788991, 0.07055762129473603, 0.02267879621135165, 0.09170602448284626, 0.13423093547574197, 0.20327351659047183, -0.04751919653981623, -0.15624444186217104, 0.005579773133216106, 0.18702562517401847] |
710.1624 | Hamiltonian Formulation of Quantum Error Correction and Correlated
Noise: The Effects Of Syndrome Extraction in the Long Time Limit | We analyze the long time behavior of a quantum computer running a quantum
error correction (QEC) code in the presence of a correlated environment.
Starting from a Hamiltonian formulation of realistic noise models, and assuming
that QEC is indeed possible, we find formal expressions for the probability of
a faulty path and the residual decoherence encoded in the reduced density
matrix. Systems with non-zero gate times (``long gates'') are included in our
analysis by using an upper bound on the noise. In order to introduce the local
error probability for a qubit, we assume that propagation of signals through
the environment is slower than the QEC period (hypercube assumption). This
allows an explicit calculation in the case of a generalized spin-boson model
and a quantum frustration model. The key result is a dimensional criterion: If
the correlations decay sufficiently fast, the system evolves toward a
stochastic error model for which the threshold theorem of fault-tolerant
quantum computation has been proven. On the other hand, if the correlations
decay slowly, the traditional proof of this threshold theorem does not hold.
This dimensional criterion bears many similarities to criteria that occur in
the theory of quantum phase transitions.
| quant-ph cond-mat.stat-mech cs.IT math.IT | we analyze the long time behavior of a quantum computer running a quantum error correction qec code in the presence of a correlated environment starting from a hamiltonian formulation of realistic noise models and assuming that qec is indeed possible we find formal expressions for the probability of a faulty path and the residual decoherence encoded in the reduced density matrix systems with nonzero gate times long gates are included in our analysis by using an upper bound on the noise in order to introduce the local error probability for a qubit we assume that propagation of signals through the environment is slower than the qec period hypercube assumption this allows an explicit calculation in the case of a generalized spinboson model and a quantum frustration model the key result is a dimensional criterion if the correlations decay sufficiently fast the system evolves toward a stochastic error model for which the threshold theorem of faulttolerant quantum computation has been proven on the other hand if the correlations decay slowly the traditional proof of this threshold theorem does not hold this dimensional criterion bears many similarities to criteria that occur in the theory of quantum phase transitions | [['we', 'analyze', 'the', 'long', 'time', 'behavior', 'of', 'a', 'quantum', 'computer', 'running', 'a', 'quantum', 'error', 'correction', 'qec', 'code', 'in', 'the', 'presence', 'of', 'a', 'correlated', 'environment', 'starting', 'from', 'a', 'hamiltonian', 'formulation', 'of', 'realistic', 'noise', 'models', 'and', 'assuming', 'that', 'qec', 'is', 'indeed', 'possible', 'we', 'find', 'formal', 'expressions', 'for', 'the', 'probability', 'of', 'a', 'faulty', 'path', 'and', 'the', 'residual', 'decoherence', 'encoded', 'in', 'the', 'reduced', 'density', 'matrix', 'systems', 'with', 'nonzero', 'gate', 'times', 'long', 'gates', 'are', 'included', 'in', 'our', 'analysis', 'by', 'using', 'an', 'upper', 'bound', 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710.1625 | Geometric cycles, index theory and twisted K-homology | We study twisted $Spin^c$-manifolds over a paracompact Hausdorff space $X$
with a twisting $\alpha: X \to K(\ZZ, 3)$. We introduce the topological index
and the analytical index on the bordism group of $\alpha$-twisted
$Spin^c$-manifolds over $(X, \alpha)$, taking values in topological twisted
K-homology and analytical twisted K-homology respectively. The main result of
this paper is to establish the equality between the topological index and the
analytical index. We also define a notion of geometric twisted K-homology,
whose cycles are geometric cycles of $(X, \a)$ analogous to Baum-Douglas's
geometric cycles. As an application of our twisted index theorem, we discuss
the twisted longitudinal index theorem for a foliated manifold $(X, F)$ with a
twisting $\alpha: X \to K(\ZZ, 3)$, which generalizes the Connes-Skandalis
index theorem for foliations and the Atiyah-Singer families index theorem to
twisted cases.
| math.KT math.AT | we study twisted spincmanifolds over a paracompact hausdorff space x with a twisting alpha x to kzz 3 we introduce the topological index and the analytical index on the bordism group of alphatwisted spincmanifolds over x alpha taking values in topological twisted khomology and analytical twisted khomology respectively the main result of this paper is to establish the equality between the topological index and the analytical index we also define a notion of geometric twisted khomology whose cycles are geometric cycles of x a analogous to baumdouglass geometric cycles as an application of our twisted index theorem we discuss the twisted longitudinal index theorem for a foliated manifold x f with a twisting alpha x to kzz 3 which generalizes the connesskandalis index theorem for foliations and the atiyahsinger families index theorem to twisted cases | [['we', 'study', 'twisted', 'spincmanifolds', 'over', 'a', 'paracompact', 'hausdorff', 'space', 'x', 'with', 'a', 'twisting', 'alpha', 'x', 'to', 'kzz', '3', 'we', 'introduce', 'the', 'topological', 'index', 'and', 'the', 'analytical', 'index', 'on', 'the', 'bordism', 'group', 'of', 'alphatwisted', 'spincmanifolds', 'over', 'x', 'alpha', 'taking', 'values', 'in', 'topological', 'twisted', 'khomology', 'and', 'analytical', 'twisted', 'khomology', 'respectively', 'the', 'main', 'result', 'of', 'this', 'paper', 'is', 'to', 'establish', 'the', 'equality', 'between', 'the', 'topological', 'index', 'and', 'the', 'analytical', 'index', 'we', 'also', 'define', 'a', 'notion', 'of', 'geometric', 'twisted', 'khomology', 'whose', 'cycles', 'are', 'geometric', 'cycles', 'of', 'x', 'a', 'analogous', 'to', 'baumdouglass', 'geometric', 'cycles', 'as', 'an', 'application', 'of', 'our', 'twisted', 'index', 'theorem', 'we', 'discuss', 'the', 'twisted', 'longitudinal', 'index', 'theorem', 'for', 'a', 'foliated', 'manifold', 'x', 'f', 'with', 'a', 'twisting', 'alpha', 'x', 'to', 'kzz', '3', 'which', 'generalizes', 'the', 'connesskandalis', 'index', 'theorem', 'for', 'foliations', 'and', 'the', 'atiyahsinger', 'families', 'index', 'theorem', 'to', 'twisted', 'cases']] | [-0.2253341429185734, 0.1376037148163878, -0.11632593647479567, 0.08710841409194825, -0.055314825333432474, -0.12554096717582042, 0.04566465310384033, 0.3834907385006325, -0.29479693194656675, -0.25431964228471826, 0.08102156944597251, -0.20262967294721462, -0.15899036140806638, 0.2191996194714152, -0.19180157916175564, -0.022878341672923797, -0.007594376461886203, 0.05288673472354439, -0.11233312706463039, -0.1906135633167352, 0.38051896714674893, -0.04752632898431438, 0.22695852325422994, 0.06256305152088154, 0.06819778907724391, 0.037659077258752796, -0.01245341325567952, -0.004382951319888916, -0.23026584988849155, 0.1996462493022876, 0.21282581918275179, -0.02135045113000296, 0.11960269321006403, -0.2773871502435919, -0.19136324788985856, 0.1322480778543473, 0.05773945987822293, -0.08807003549421762, 0.03329544706502929, -0.265367212079799, 0.16147925661105328, -0.20325452600842092, -0.19057565728209414, -0.051592519562413446, 0.09054689503399961, -0.02134664954596769, -0.25961926395295937, 0.020787014116649516, 0.10174111797432624, 0.11001844307296534, -0.06594980703388799, -0.0712399225974796, -0.10754491090635533, 0.1087862782705047, 0.041303362410668454, 0.04767436661180665, 0.09551625939280685, -0.04229706385235455, -0.14525221040778197, 0.3064386618893538, -0.07896152931029227, -0.19703113015240697, 0.06778905931999211, -0.15337937859707138, -0.20808803701231174, 0.11572141720176633, 0.06976172772806082, 0.16067237010809468, 0.0486380037948934, 0.160166612650796, -0.12135595074896492, 0.13155413656356507, 0.12129428995418738, -0.006445546690096606, 0.1369350641868564, 0.05378836482665988, 0.1117997569155379, 0.18372342340759376, -0.02372338981263395, -0.008897712784332793, -0.35413372227505074, -0.2505141243394186, -0.08712015147824813, 0.23138719056941456, -0.1798223607835478, -0.2269827087979708, 0.4231970989902907, 0.050785806392149656, 0.17509087732534356, 0.09531301080245774, 0.22156838518949643, 0.10086290292622549, -0.024916613175631014, 0.044718019368905404, 0.11448628010937194, 0.2811744778986965, 0.024022025669535707, -0.08575868921062506, -0.10230859180907163, 0.2519891371867105] |
710.1626 | Throughput Scaling in Random Wireless Networks: A Non-Hierarchical
Multipath Routing Strategy | Franceschetti et al. have recently shown that per-node throughput in an
extended, ad hoc wireless network with $\Theta(n)$ randomly distributed nodes
and multihop routing can be increased from the $\Omega({1 \over \sqrt{n} \log
n})$ scaling demonstrated in the seminal paper of Gupta and Kumar to $\Omega({1
\over \sqrt{n}})$. The goal of the present paper is to understand the
dependence of this interesting result on the principal new features it
introduced relative to Gupta-Kumar: (1) a capacity-based formula for link
transmission bit-rates in terms of received signal-to-interference-and-noise
ratio (SINR); (2) hierarchical routing from sources to destinations through a
system of communal highways; and (3) cell-based routes constructed by
percolation. The conclusion of the present paper is that the improved
throughput scaling is principally due to the percolation-based routing, which
enables shorter hops and, consequently, less interference. This is established
by showing that throughput $\Omega({1 \over \sqrt{n}})$ can be attained by a
system that does not employ highways, but instead uses percolation to
establish, for each source-destination pair, a set of $\Theta(\log n)$ routes
within a narrow routing corridor running from source to destination. As a
result, highways are not essential. In addition, it is shown that throughput
$\Omega({1 \over \sqrt{n}})$ can be attained with the original threshold
transmission bit-rate model, provided that node transmission powers are
permitted to grow with $n$. Thus, the benefit of the capacity bit-rate model is
simply to permit the power to remain bounded, even as the network expands.
| cs.IT math.IT | franceschetti et al have recently shown that pernode throughput in an extended ad hoc wireless network with thetan randomly distributed nodes and multihop routing can be increased from the omega1 over sqrtn log n scaling demonstrated in the seminal paper of gupta and kumar to omega1 over sqrtn the goal of the present paper is to understand the dependence of this interesting result on the principal new features it introduced relative to guptakumar 1 a capacitybased formula for link transmission bitrates in terms of received signaltointerferenceandnoise ratio sinr 2 hierarchical routing from sources to destinations through a system of communal highways and 3 cellbased routes constructed by percolation the conclusion of the present paper is that the improved throughput scaling is principally due to the percolationbased routing which enables shorter hops and consequently less interference this is established by showing that throughput omega1 over sqrtn can be attained by a system that does not employ highways but instead uses percolation to establish for each sourcedestination pair a set of thetalog n routes within a narrow routing corridor running from source to destination as a result highways are not essential in addition it is shown that throughput omega1 over sqrtn can be attained with the original threshold transmission bitrate model provided that node transmission powers are permitted to grow with n thus the benefit of the capacity bitrate model is simply to permit the power to remain bounded even as the network expands | [['franceschetti', 'et', 'al', 'have', 'recently', 'shown', 'that', 'pernode', 'throughput', 'in', 'an', 'extended', 'ad', 'hoc', 'wireless', 'network', 'with', 'thetan', 'randomly', 'distributed', 'nodes', 'and', 'multihop', 'routing', 'can', 'be', 'increased', 'from', 'the', 'omega1', 'over', 'sqrtn', 'log', 'n', 'scaling', 'demonstrated', 'in', 'the', 'seminal', 'paper', 'of', 'gupta', 'and', 'kumar', 'to', 'omega1', 'over', 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710.1627 | Universality of liquid-gas Mott transitions at finite temperatures | We explain in a consistent manner the set of seemingly conflicting
experiments on the finite temperature Mott critical point, and demonstrate that
the Mott transition is in the Ising universality class. We show that, even
though the thermodynamic behavior of the system near such critical point is
described by an Ising order parameter, the global conductivity can depend on
other singular observables and, in particular, on the energy density. Finally,
we show that in the presence of weak disorder the dimensionality of the system
has crucial effects on the size of the critical region that is probed
experimentally.
| cond-mat.str-el cond-mat.stat-mech | we explain in a consistent manner the set of seemingly conflicting experiments on the finite temperature mott critical point and demonstrate that the mott transition is in the ising universality class we show that even though the thermodynamic behavior of the system near such critical point is described by an ising order parameter the global conductivity can depend on other singular observables and in particular on the energy density finally we show that in the presence of weak disorder the dimensionality of the system has crucial effects on the size of the critical region that is probed experimentally | [['we', 'explain', 'in', 'a', 'consistent', 'manner', 'the', 'set', 'of', 'seemingly', 'conflicting', 'experiments', 'on', 'the', 'finite', 'temperature', 'mott', 'critical', 'point', 'and', 'demonstrate', 'that', 'the', 'mott', 'transition', 'is', 'in', 'the', 'ising', 'universality', 'class', 'we', 'show', 'that', 'even', 'though', 'the', 'thermodynamic', 'behavior', 'of', 'the', 'system', 'near', 'such', 'critical', 'point', 'is', 'described', 'by', 'an', 'ising', 'order', 'parameter', 'the', 'global', 'conductivity', 'can', 'depend', 'on', 'other', 'singular', 'observables', 'and', 'in', 'particular', 'on', 'the', 'energy', 'density', 'finally', 'we', 'show', 'that', 'in', 'the', 'presence', 'of', 'weak', 'disorder', 'the', 'dimensionality', 'of', 'the', 'system', 'has', 'crucial', 'effects', 'on', 'the', 'size', 'of', 'the', 'critical', 'region', 'that', 'is', 'probed', 'experimentally']] | [-0.15311873926572045, 0.16459838734902274, -0.055496903793287596, 0.04075952718979964, 0.009103387385150609, -0.1105046369924153, 0.06459137675357146, 0.34395372487452563, -0.23454665195919117, -0.23529156167250204, 0.08701963628385673, -0.3082051947712898, -0.15638218154864653, 0.17872553250315237, -0.0009195587353671578, 0.05880777954542059, -0.009945388142095536, 0.05857119629900826, -0.09421592125222467, -0.21361724893581502, 0.3937157009020258, 0.025366821723077828, 0.31657962035387754, 0.1293602814037847, 0.052773414127414625, -0.009993584767193059, 0.09674371125465211, 0.09951585300779921, -0.14132449789387316, 0.011230062683854175, 0.21153817825703597, 0.022446364919864098, 0.2140716342255473, -0.38910505342848445, -0.2322179393994869, 0.11457659064421469, 0.14169340123593502, 0.11196242728061517, -0.029681607810020143, -0.26867058062783383, 0.07335030243789055, -0.12583581549210512, -0.14551654657615082, -0.11676934319168177, -0.012382755635724383, 0.011561434333478766, -0.2517645444432321, 0.09923974763630528, 0.07820709895494642, 0.06813010989631317, -0.08089123712377433, -0.0884362459895486, -0.03802317306541895, 0.1136849251509245, 0.049636259610878725, 0.02807462566570208, 0.13924908219380494, -0.16483087858603318, -0.09321793104160805, 0.35815993408026287, -0.046289179283455585, -0.13751607370201727, 0.22624147072320386, -0.22004576132879877, -0.13648691277342792, 0.10649116392418438, 0.14681413489374884, 0.08166639385649896, -0.09018462247747396, 0.12772118621299397, -0.06008066498907283, 0.1897944273570866, -0.03898479271803659, 0.02676343155682695, 0.2335572892952026, 0.19945933558854598, 0.08205174726115692, 0.16149540482224345, -0.09991008423955408, -0.1296709948456941, -0.3264501858977791, -0.1294362104725929, -0.2509165942640405, 0.04151829848141999, -0.12802024791937805, -0.1760914309178384, 0.39455779349165304, 0.25105906731677147, 0.2376712279878937, -0.0006199858522004619, 0.2174767418289367, 0.1646355409639928, 0.043006963766541104, 0.05403580290873592, 0.2925303975067919, 0.044823987012710044, 0.08807347502977568, -0.28506807106242954, 0.10529645406451, 0.06786003939769401] |
710.1628 | A stable vacuum of the tachyonic E8 string | We consider tachyon condensation in unstable ten-dimensional heterotic string
theory with gauge group E8. In the background of a lightlike linear dilaton
rolling to weak coupling, we find an exact solution in which the theory decays
to a stable ground state. The final state represents a new, modular-invariant
perturbative string theory, tachyon-free in nine spacetime dimensions with a
spacelike dilaton gradient, E8 gauge group and no spacetime supersymmetry.
| hep-th | we consider tachyon condensation in unstable tendimensional heterotic string theory with gauge group e8 in the background of a lightlike linear dilaton rolling to weak coupling we find an exact solution in which the theory decays to a stable ground state the final state represents a new modularinvariant perturbative string theory tachyonfree in nine spacetime dimensions with a spacelike dilaton gradient e8 gauge group and no spacetime supersymmetry | [['we', 'consider', 'tachyon', 'condensation', 'in', 'unstable', 'tendimensional', 'heterotic', 'string', 'theory', 'with', 'gauge', 'group', 'e8', 'in', 'the', 'background', 'of', 'a', 'lightlike', 'linear', 'dilaton', 'rolling', 'to', 'weak', 'coupling', 'we', 'find', 'an', 'exact', 'solution', 'in', 'which', 'the', 'theory', 'decays', 'to', 'a', 'stable', 'ground', 'state', 'the', 'final', 'state', 'represents', 'a', 'new', 'modularinvariant', 'perturbative', 'string', 'theory', 'tachyonfree', 'in', 'nine', 'spacetime', 'dimensions', 'with', 'a', 'spacelike', 'dilaton', 'gradient', 'e8', 'gauge', 'group', 'and', 'no', 'spacetime', 'supersymmetry']] | [-0.20589210255318047, 0.2127037023774927, -0.09121569936328075, 0.13866457223946996, -0.12727797497063875, -0.21677767323768315, 0.0042351317961755045, 0.3041143468341461, -0.1476741555174265, -0.19054457035792224, 0.030768417061635238, -0.27214194904081523, -0.11290100304519429, 0.01961209490785704, -0.037180322012692855, 0.029435540679568314, -0.03270784894223599, 0.13268021055880716, -0.11959004255614299, -0.2754115174723077, 0.34583519167705057, -0.00842277194469181, 0.28102574998047203, -0.017906289903775734, 0.1346013868254993, -0.02829083672601401, 0.04655340815182118, -0.015746299629373586, -0.12399597575559336, 0.07815646512351711, 0.2360569334260243, 0.0561976117794128, 0.10659696227487396, -0.4126586557420738, -0.21526738183627672, 0.09049990464015589, 0.19109622921849437, 0.23121440706959487, -0.05330618987457402, -0.33101960104506684, 0.034037706894142664, -0.16935702275676542, -0.18298845016055137, -0.09395273319815341, 0.008188450174844441, -0.21261238997035167, -0.2302817829665454, 0.09207654157516491, -0.07316877647056519, 0.03447684900396887, -0.1126183763228576, -0.016927574377726105, -0.08517403810230248, -0.007298957770484883, 0.2083518283547806, 0.13047033580540515, 0.11465360172202482, -0.23034428761285894, -0.15343803169397527, 0.3452156097491217, -0.13929653269074418, -0.2530364720185068, 0.1087504963746623, -0.12093376367599429, -0.20325840983252205, 0.15180418529095785, 0.10111600449497071, 0.17213323372690117, -0.11383334185708971, 0.2808201408094165, -0.017712588805486176, 0.16969496955382912, 0.10277970800833668, 0.028188083710333826, 0.28805984610089047, 0.1127651210545617, 0.07138378715813708, 0.12221098440589712, 0.035148215295253867, -0.17726810632602258, -0.49923585914075375, -0.11599851778181106, -0.01616288932478603, 0.1743720134254545, -0.19291671745539882, -0.2626531346399775, 0.32577474123921574, 0.0304490198408637, 0.1473936992971336, 0.043155054549809876, 0.1657895086442723, 0.04815475511885084, 0.021272876710795304, 0.07533846682396389, 0.29248812163346244, 0.17771667918971026, 0.0749828869045493, -0.2748654334915473, -0.2549611092065735, 0.21654088026843965] |
710.1629 | Coulomb drag at zero temperature | We show that the Coulomb drag effect exhibits saturation at small
temperatures, when calculated to the third order in the interlayer
interactions. The zero-temperature transresistance is inversely proportional to
the third power of the dimensionless sheet conductance. The effect is therefore
the strongest in low mobility samples. This behavior should be contrasted with
the conventional (second order) prediction that the transresistance scales as a
certain power of temperature and is almost mobility-independent. The result
demonstrates that the zero-temperature drag is not an unambiguous signature of
a strongly-coupled state in double-layer systems.
| cond-mat.mes-hall | we show that the coulomb drag effect exhibits saturation at small temperatures when calculated to the third order in the interlayer interactions the zerotemperature transresistance is inversely proportional to the third power of the dimensionless sheet conductance the effect is therefore the strongest in low mobility samples this behavior should be contrasted with the conventional second order prediction that the transresistance scales as a certain power of temperature and is almost mobilityindependent the result demonstrates that the zerotemperature drag is not an unambiguous signature of a stronglycoupled state in doublelayer systems | [['we', 'show', 'that', 'the', 'coulomb', 'drag', 'effect', 'exhibits', 'saturation', 'at', 'small', 'temperatures', 'when', 'calculated', 'to', 'the', 'third', 'order', 'in', 'the', 'interlayer', 'interactions', 'the', 'zerotemperature', 'transresistance', 'is', 'inversely', 'proportional', 'to', 'the', 'third', 'power', 'of', 'the', 'dimensionless', 'sheet', 'conductance', 'the', 'effect', 'is', 'therefore', 'the', 'strongest', 'in', 'low', 'mobility', 'samples', 'this', 'behavior', 'should', 'be', 'contrasted', 'with', 'the', 'conventional', 'second', 'order', 'prediction', 'that', 'the', 'transresistance', 'scales', 'as', 'a', 'certain', 'power', 'of', 'temperature', 'and', 'is', 'almost', 'mobilityindependent', 'the', 'result', 'demonstrates', 'that', 'the', 'zerotemperature', 'drag', 'is', 'not', 'an', 'unambiguous', 'signature', 'of', 'a', 'stronglycoupled', 'state', 'in', 'doublelayer', 'systems']] | [-0.19227991240719955, 0.19361373007753477, -0.07320559142842992, 0.02131695604443343, -0.027905697934976263, -0.11887957115864588, 0.023512809248899834, 0.2920610159532063, -0.2728496755369835, -0.2832618550087015, 0.01825555370629041, -0.3371430470297734, -0.13257145054845346, 0.16816812441166903, -0.008189388204159008, -0.010166397333766024, -0.0399926256802347, 0.0752027842132116, -0.057522435411293475, -0.22895530760288238, 0.2907470188724498, 0.10285042663518754, 0.3332004446329342, 0.14696388565417792, 0.05670849311217252, -0.04322944804508653, 0.10275547618253364, 0.08647595202395071, -0.10583619459705207, -0.006636032498338156, 0.216249778545979, -0.10022396010657152, 0.22964437825398312, -0.3841792551955829, -0.17728776063045693, 0.05270980617755817, 0.11496517282341503, 0.1299781862905042, -0.01260627018701699, -0.18788363510328862, 0.06520828327371014, -0.1832360387262371, -0.1305502727860585, -0.049459527650227146, 0.028508657128420763, -0.0034156030690711404, -0.2960996136534959, 0.153652856612785, 0.052858665018963316, 0.017589446022692655, -0.05896275061596599, -0.09151307253373994, -0.052084432164621025, 0.1044839374711349, 0.08494754077659714, 0.02475427849114769, 0.16245834312608673, -0.16319093883503227, -0.07711043410106666, 0.38576051473824513, -0.11513914856801016, -0.1352293169229395, 0.1752580346332656, -0.21550840629885595, -0.054914892226871515, 0.15994469257485536, 0.11249974417086277, 0.09240172367232541, -0.1258627083910849, 0.03384158337301212, -0.0011139468574482534, 0.22631078253551903, 0.01088459975241373, 0.03151245925368534, 0.21801862104071512, 0.194856630361432, 0.049403931099611026, 0.15128907359256927, -0.12073652402808269, -0.07598058519781464, -0.28277822256916096, -0.12446863838057551, -0.22738163492435381, 0.05782754241970704, -0.10137711199010178, -0.16175014457354944, 0.36441769956307124, 0.19034669046393698, 0.23783476773080311, 0.035577107880574964, 0.3209953260090616, 0.19824947517028907, 0.10539802440131704, 0.04100412701567014, 0.3065004631980426, 0.10933440364897251, 0.10650736858240432, -0.3159353195615242, 0.096522406850838, 0.03230952591531806] |
710.163 | What do WMAP and SDSS really tell about inflation? | We derive new constraints on the Hubble function H(phi) and subsequently on
the inflationary potential V(phi) from WMAP 3-year data combined with the Sloan
Luminous Red Galaxy survey (SDSS-LRG), using a new methodology which appears to
be more generic, conservative and model-independent than in most of the recent
literature, since it depends neither on the slow-roll approximation, nor on any
extrapolation scheme for the potential beyond the observable e-fold range, nor
on additional assumptions about initial conditions for the inflaton velocity.
This last feature represents the main improvement of this work, and is made
possible by the reconstruction of H(phi) prior to V(phi). Our results only rely
on the assumption that within the observable range, corresponding to ~ 10
e-folds, inflation is not interrupted and the function H(phi) is smooth enough
for being Taylor-expanded at order one, two or three. We conclude that the
variety of potentials allowed by the data is still large. However, it is clear
that the first two slow-roll parameters are really small while the validity of
the slow-roll expansion beyond them is not established.
| astro-ph gr-qc hep-ph | we derive new constraints on the hubble function hphi and subsequently on the inflationary potential vphi from wmap 3year data combined with the sloan luminous red galaxy survey sdsslrg using a new methodology which appears to be more generic conservative and modelindependent than in most of the recent literature since it depends neither on the slowroll approximation nor on any extrapolation scheme for the potential beyond the observable efold range nor on additional assumptions about initial conditions for the inflaton velocity this last feature represents the main improvement of this work and is made possible by the reconstruction of hphi prior to vphi our results only rely on the assumption that within the observable range corresponding to 10 efolds inflation is not interrupted and the function hphi is smooth enough for being taylorexpanded at order one two or three we conclude that the variety of potentials allowed by the data is still large however it is clear that the first two slowroll parameters are really small while the validity of the slowroll expansion beyond them is not established | [['we', 'derive', 'new', 'constraints', 'on', 'the', 'hubble', 'function', 'hphi', 'and', 'subsequently', 'on', 'the', 'inflationary', 'potential', 'vphi', 'from', 'wmap', '3year', 'data', 'combined', 'with', 'the', 'sloan', 'luminous', 'red', 'galaxy', 'survey', 'sdsslrg', 'using', 'a', 'new', 'methodology', 'which', 'appears', 'to', 'be', 'more', 'generic', 'conservative', 'and', 'modelindependent', 'than', 'in', 'most', 'of', 'the', 'recent', 'literature', 'since', 'it', 'depends', 'neither', 'on', 'the', 'slowroll', 'approximation', 'nor', 'on', 'any', 'extrapolation', 'scheme', 'for', 'the', 'potential', 'beyond', 'the', 'observable', 'efold', 'range', 'nor', 'on', 'additional', 'assumptions', 'about', 'initial', 'conditions', 'for', 'the', 'inflaton', 'velocity', 'this', 'last', 'feature', 'represents', 'the', 'main', 'improvement', 'of', 'this', 'work', 'and', 'is', 'made', 'possible', 'by', 'the', 'reconstruction', 'of', 'hphi', 'prior', 'to', 'vphi', 'our', 'results', 'only', 'rely', 'on', 'the', 'assumption', 'that', 'within', 'the', 'observable', 'range', 'corresponding', 'to', '10', 'efolds', 'inflation', 'is', 'not', 'interrupted', 'and', 'the', 'function', 'hphi', 'is', 'smooth', 'enough', 'for', 'being', 'taylorexpanded', 'at', 'order', 'one', 'two', 'or', 'three', 'we', 'conclude', 'that', 'the', 'variety', 'of', 'potentials', 'allowed', 'by', 'the', 'data', 'is', 'still', 'large', 'however', 'it', 'is', 'clear', 'that', 'the', 'first', 'two', 'slowroll', 'parameters', 'are', 'really', 'small', 'while', 'the', 'validity', 'of', 'the', 'slowroll', 'expansion', 'beyond', 'them', 'is', 'not', 'established']] | [-0.08465283899044806, 0.08403196528990847, -0.10440109865059762, 0.08979248617817595, -0.13745702723213837, -0.1223188631754536, 0.031090626155622723, 0.346592598835404, -0.18794460032247085, -0.3059872906613216, 0.11997639961878173, -0.23649588529167048, -0.084953083927492, 0.24036248270050656, -0.033338816070620475, 0.031192777116568444, 0.0517876840234483, 0.029593421439273973, -0.04281525431741082, -0.2983555419558889, 0.33873615464590634, 0.05358888398269924, 0.21457478090639362, 0.016432545623961795, 0.07554111811934101, -0.03703032852297, -0.03644244871239617, -0.032049263741172264, -0.17131651864903608, 0.06578952661261558, 0.15893643509643676, 0.14947774740501066, 0.25714490315719934, -0.38322094472104246, -0.21781741307389116, 0.15650914294195226, 0.14396388986111316, 0.11185096984721322, -0.007198371354564422, -0.26729700016446434, 0.09148173255134986, -0.14522059241393476, -0.10627240087088784, -0.07855682394945054, 0.026017720121733343, -0.014264297611119352, -0.2965574907191265, 0.10137305998902642, 0.018419209959278447, 0.02861569224061507, -0.05445230861974022, -0.1000508473600062, -0.025192499622503778, 0.0521068088252495, 0.08219158992608172, 0.08163163821825109, 0.1232605793001915, -0.1341816075800217, 0.0003376125326652205, 0.37457249799528775, -0.09403656704295388, -0.11783146824729576, 0.1627824470882168, -0.17047266847338904, -0.1620774764196131, 0.09932453532800016, 0.08833572849254595, 0.09590482927487347, -0.17156134345934967, 0.12914336082823785, 0.029686906508083737, 0.19223894889981832, 0.07245033477521973, 0.0064004128708097345, 0.21446673064021748, 0.12205752019320479, 0.08791071599090389, 0.05375457996125804, -0.08783373375716907, -0.1100417868331666, -0.3846361522466007, -0.05951028390986363, -0.21253806562162936, 0.03667600743521301, -0.1337794057911738, -0.15834486013634153, 0.4013841729448267, 0.16723487805575132, 0.21284764837290507, 0.061296747762610446, 0.32303741110718986, 0.0966098122279097, 0.09525617468432429, 0.0519623172814759, 0.32910419139210556, 0.08067808343160353, 0.09835092845540284, -0.15700327114233475, 0.07169614882558961, 0.010219853581975769] |
710.1631 | Active Galactic Nuclei in Void Regions | We present a comprehensive study of accretion activity in the most underdense
environments in the universe, the voids, based on the SDSS DR2 data. Based on
investigations of multiple void regions, we show that AGN's occurrence rate and
properties differ from those in walls. AGN are more common in voids than in
walls, but only among moderately luminous and massive galaxies (M_r < -20, log
M_*/M_sun < 10.5), and this enhancement is more pronounced for the weakly
accreting systems (i.e., L_[O III] < 10^39 erg/s). Void AGN hosted by
moderately massive and luminous galaxies are accreting at equal or lower rates
than their wall counterparts, show less obscuration than in walls, and
similarly aged stellar populations. The very few void AGN in massive bright
hosts accrete more strongly, are more obscured, and are associated with younger
stellar emission than wall AGN. Thus, accretion strength is probably connected
to the availability of fuel supply, and accretion and star-formation co-evolve
and rely on the same source of fuel. Nearest neighbor statistics indicate that
the weak accretion activity (LINER-like) is not influenced by the local
environment. However, H IIs, Seyferts, and Transition objects prefer more
grouped small scale structures, indicating that the rate at which galaxies
interact with each other affects their activity. These trends support a
potential H II -> Seyfert/Transition Object -> LINER evolutionary sequence that
we show is apparent in many properties of actively line-emitting galaxies, in
both voids and walls. The subtle differences between void and wall AGN might be
explained by a longer, less disturbed duty cycle of these systems in voids.
| astro-ph | we present a comprehensive study of accretion activity in the most underdense environments in the universe the voids based on the sdss dr2 data based on investigations of multiple void regions we show that agns occurrence rate and properties differ from those in walls agn are more common in voids than in walls but only among moderately luminous and massive galaxies m_r 20 log m_m_sun 105 and this enhancement is more pronounced for the weakly accreting systems ie l_o iii 1039 ergs void agn hosted by moderately massive and luminous galaxies are accreting at equal or lower rates than their wall counterparts show less obscuration than in walls and similarly aged stellar populations the very few void agn in massive bright hosts accrete more strongly are more obscured and are associated with younger stellar emission than wall agn thus accretion strength is probably connected to the availability of fuel supply and accretion and starformation coevolve and rely on the same source of fuel nearest neighbor statistics indicate that the weak accretion activity linerlike is not influenced by the local environment however h iis seyferts and transition objects prefer more grouped small scale structures indicating that the rate at which galaxies interact with each other affects their activity these trends support a potential h ii seyferttransition object liner evolutionary sequence that we show is apparent in many properties of actively lineemitting galaxies in both voids and walls the subtle differences between void and wall agn might be explained by a longer less disturbed duty cycle of these systems in voids | [['we', 'present', 'a', 'comprehensive', 'study', 'of', 'accretion', 'activity', 'in', 'the', 'most', 'underdense', 'environments', 'in', 'the', 'universe', 'the', 'voids', 'based', 'on', 'the', 'sdss', 'dr2', 'data', 'based', 'on', 'investigations', 'of', 'multiple', 'void', 'regions', 'we', 'show', 'that', 'agns', 'occurrence', 'rate', 'and', 'properties', 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710.1632 | Z'-mediated Supersymmetry Breaking | We consider a class of models in which supersymmetry breaking is communicated
dominantly via a U'(1) gauge interaction, which also helps solve the \mu
problem. Such models can emerge naturally in top-down constructions and are a
version of split supersymmetry. The spectrum contains heavy sfermions,
Higgsinos, exotics, and Z' ~ 10-100 TeV; light gauginos ~ 100-1000 GeV; a light
Higgs ~ 140 GeV; and a light singlino. A specific set of U'(1) charges and
exotics is analyzed, and we present five benchmark models. Implications for the
gluino lifetime, cold dark matter, and the gravitino and neutrino masses are
discussed.
| hep-ph hep-ex hep-th | we consider a class of models in which supersymmetry breaking is communicated dominantly via a u1 gauge interaction which also helps solve the mu problem such models can emerge naturally in topdown constructions and are a version of split supersymmetry the spectrum contains heavy sfermions higgsinos exotics and z 10100 tev light gauginos 1001000 gev a light higgs 140 gev and a light singlino a specific set of u1 charges and exotics is analyzed and we present five benchmark models implications for the gluino lifetime cold dark matter and the gravitino and neutrino masses are discussed | [['we', 'consider', 'a', 'class', 'of', 'models', 'in', 'which', 'supersymmetry', 'breaking', 'is', 'communicated', 'dominantly', 'via', 'a', 'u1', 'gauge', 'interaction', 'which', 'also', 'helps', 'solve', 'the', 'mu', 'problem', 'such', 'models', 'can', 'emerge', 'naturally', 'in', 'topdown', 'constructions', 'and', 'are', 'a', 'version', 'of', 'split', 'supersymmetry', 'the', 'spectrum', 'contains', 'heavy', 'sfermions', 'higgsinos', 'exotics', 'and', 'z', '10100', 'tev', 'light', 'gauginos', '1001000', 'gev', 'a', 'light', 'higgs', '140', 'gev', 'and', 'a', 'light', 'singlino', 'a', 'specific', 'set', 'of', 'u1', 'charges', 'and', 'exotics', 'is', 'analyzed', 'and', 'we', 'present', 'five', 'benchmark', 'models', 'implications', 'for', 'the', 'gluino', 'lifetime', 'cold', 'dark', 'matter', 'and', 'the', 'gravitino', 'and', 'neutrino', 'masses', 'are', 'discussed']] | [-0.1408844590332592, 0.32870127616903727, -0.008573213778921248, 0.2574237368462491, -0.1184062445439243, -0.22416491146820286, 0.013543164279932777, 0.3520175787198241, -0.18788974413473625, -0.33889832415540394, 0.06564481420112618, -0.29157403323915787, 0.022729443114561338, 0.11390171536671308, 0.01483460413389063, 0.02610798155122514, 0.05449076614483298, -0.015500725790237388, -0.03397350004524924, -0.2627487966310582, 0.27233788825105876, -0.03886334978354474, 0.15698839422354163, 0.1369166337341691, 0.07916151057967606, -0.05635549478514198, 0.018150716547097545, -0.1602915206264394, -0.07753107641959407, 0.09406054966166266, 0.1620087732016676, 0.07773136957014988, 0.0948950178984281, -0.32213121152017266, -0.20765787195220278, 0.22144424316259878, 0.17899392667459324, 0.10017126321812005, -0.12909016232394302, -0.33562363699699443, 0.10339766588973968, -0.2280770551005844, -0.09424745300323896, -0.027342323228367604, -0.0768827370920917, -0.14872437586503415, -0.31618679385671083, 0.09278255823028303, -0.07535265902212511, -0.006449098931625485, -0.02621498317118191, -0.1475378176110098, -0.11215660350232308, -0.0929525665900049, 0.18655319191505745, -0.031634207964089, 0.20418439655380402, -0.2029917506803637, -0.1691093088981385, 0.4695896908087889, -0.09480366803715394, -0.14047833099175477, 0.17237501794594814, -0.04481128443755248, -0.1870638093969319, 0.1291357269413614, 0.2052402066765353, 0.12137901623888563, -0.18086783152345257, 0.20355008180740697, -0.07999697952254792, 0.20139586652294383, 0.06898791073278214, 0.0915938724259225, 0.35591522449976765, 0.2207601763899826, 0.037634838585897036, 0.049714785289931264, -0.04589827356782431, -0.05665895292380204, -0.4388737916951489, -0.08994197257561609, -0.034751913517538924, 0.06968370342413739, -0.07602844629718675, -0.01607166837978487, 0.4397108595973502, 0.11999258296433861, 0.26832060114247724, 0.023746664347224094, 0.24628656791658918, 0.04718040565679379, 0.1028143601318637, 0.06251677381199745, 0.284550609823782, 0.1319148252271892, 0.12261978442014272, -0.17136512760771438, -0.1648339436748453, 0.08058510860185682] |
710.1633 | Experimental realization of Laughlin quasiparticle interferometers | Laughlin quasiparticles are the elementary excitations of a highly-correlated
fractional quantum Hall electron fluid. They have fractional charge and obey
fractional statistics. The quasiparticles can propagate quantum-coherently in
chiral edge channels, and constructively or destructively interfere. Unlike
electrons, the interference condition for Laughlin quasiparticles has a
non-vanishing statistical contribution that can be observed experimentally. Two
kinds of interferometer devices have been realized. In the primary-filling
interferometer, the entire device has filling 1/3, and the e/3 edge channel
quasiparticles encircle identical e/3 island quasiparticles. Here the flux
period is h/e, same as for electrons, but the back-gate charge period is e/3.
In the second kind of interferometer, a lower density edge channel at filling
1/3 forms around a higher density island at filling 2/5, so that e/3 edge
quasiparticles encircle e/5 island quasiparticles. Here we observe
superperiodic oscillations with 5h/e flux and 2e charge periods, both
corresponding to excitation of ten island quasiparticles. These periods can be
understood as imposed by the anyonic braiding statistics of Laughlin
quasiparticles.
| cond-mat.mes-hall cond-mat.str-el | laughlin quasiparticles are the elementary excitations of a highlycorrelated fractional quantum hall electron fluid they have fractional charge and obey fractional statistics the quasiparticles can propagate quantumcoherently in chiral edge channels and constructively or destructively interfere unlike electrons the interference condition for laughlin quasiparticles has a nonvanishing statistical contribution that can be observed experimentally two kinds of interferometer devices have been realized in the primaryfilling interferometer the entire device has filling 13 and the e3 edge channel quasiparticles encircle identical e3 island quasiparticles here the flux period is he same as for electrons but the backgate charge period is e3 in the second kind of interferometer a lower density edge channel at filling 13 forms around a higher density island at filling 25 so that e3 edge quasiparticles encircle e5 island quasiparticles here we observe superperiodic oscillations with 5he flux and 2e charge periods both corresponding to excitation of ten island quasiparticles these periods can be understood as imposed by the anyonic braiding statistics of laughlin quasiparticles | [['laughlin', 'quasiparticles', 'are', 'the', 'elementary', 'excitations', 'of', 'a', 'highlycorrelated', 'fractional', 'quantum', 'hall', 'electron', 'fluid', 'they', 'have', 'fractional', 'charge', 'and', 'obey', 'fractional', 'statistics', 'the', 'quasiparticles', 'can', 'propagate', 'quantumcoherently', 'in', 'chiral', 'edge', 'channels', 'and', 'constructively', 'or', 'destructively', 'interfere', 'unlike', 'electrons', 'the', 'interference', 'condition', 'for', 'laughlin', 'quasiparticles', 'has', 'a', 'nonvanishing', 'statistical', 'contribution', 'that', 'can', 'be', 'observed', 'experimentally', 'two', 'kinds', 'of', 'interferometer', 'devices', 'have', 'been', 'realized', 'in', 'the', 'primaryfilling', 'interferometer', 'the', 'entire', 'device', 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710.1634 | The Rewards of Patience: An 822 Day Time Delay in the Gravitational Lens
SDSS J1004+4112 | We present 107 new epochs of optical monitoring data for the four brightest
images of the gravitational lens SDSS J1004+4112 observed between October 2006
and June 2007. Combining this data with the previously obtained light curves,
we determine the time delays between images A, B and C. We confirm our previous
measurement finding that A leads B by dt_BA=40.6+-1.8 days, and find that image
C leads image A by dt_CA=821.6+-2.1 days. The lower limit on the remaining
delay is that image D lags image A by dt_AD>1250 days. Based on the
microlensing of images A and B we estimate that the accretion disk size at a
rest wavelength of 2300 angstrom is 10^{14.8+-0.3} cm for a disk inclination of
cos{i}=1/2, which is consistent with the microlensing disk size-black hole mass
correlation function given our estimate of the black hole mass from the MgII
line width of logM_BH/M_sun=8.44+-0.14. The long delays allow us to fill in the
seasonal gaps and assemble a continuous, densely sampled light curve spanning
5.7 years whose variability implies a structure function with a logarithmic
slope of gamma = 0.35+-0.02. As C is the leading image, sharp features in the C
light curve can be intensively studied 2.3 years later in the A/B pair,
potentially allowing detailed reverberation mapping studies of a quasar at
minimal cost.
| astro-ph | we present 107 new epochs of optical monitoring data for the four brightest images of the gravitational lens sdss j10044112 observed between october 2006 and june 2007 combining this data with the previously obtained light curves we determine the time delays between images a b and c we confirm our previous measurement finding that a leads b by dt_ba40618 days and find that image c leads image a by dt_ca821621 days the lower limit on the remaining delay is that image d lags image a by dt_ad1250 days based on the microlensing of images a and b we estimate that the accretion disk size at a rest wavelength of 2300 angstrom is 1014803 cm for a disk inclination of cosi12 which is consistent with the microlensing disk sizeblack hole mass correlation function given our estimate of the black hole mass from the mgii line width of logm_bhm_sun844014 the long delays allow us to fill in the seasonal gaps and assemble a continuous densely sampled light curve spanning 57 years whose variability implies a structure function with a logarithmic slope of gamma 035002 as c is the leading image sharp features in the c light curve can be intensively studied 23 years later in the ab pair potentially allowing detailed reverberation mapping studies of a quasar at minimal cost | [['we', 'present', '107', 'new', 'epochs', 'of', 'optical', 'monitoring', 'data', 'for', 'the', 'four', 'brightest', 'images', 'of', 'the', 'gravitational', 'lens', 'sdss', 'j10044112', 'observed', 'between', 'october', '2006', 'and', 'june', '2007', 'combining', 'this', 'data', 'with', 'the', 'previously', 'obtained', 'light', 'curves', 'we', 'determine', 'the', 'time', 'delays', 'between', 'images', 'a', 'b', 'and', 'c', 'we', 'confirm', 'our', 'previous', 'measurement', 'finding', 'that', 'a', 'leads', 'b', 'by', 'dt_ba40618', 'days', 'and', 'find', 'that', 'image', 'c', 'leads', 'image', 'a', 'by', 'dt_ca821621', 'days', 'the', 'lower', 'limit', 'on', 'the', 'remaining', 'delay', 'is', 'that', 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710.1635 | Degree theorems and Lipschitz simplicial volume for non-positively
curved manifolds of finite volume | We study a metric version of the simplicial volume on Riemannian manifolds,
the Lipschitz simplicial volume, with applications to degree theorems in mind.
We establish a proportionality principle and a product inequality from which we
derive an extension of Gromov's volume comparison theorem to products of
negatively curved manifolds or locally symmetric spaces of non-compact type. In
contrast, we provide vanishing results for the ordinary simplicial volume; for
instance, we show that the ordinary simplicial volume of non-compact locally
symmetric spaces with finite volume of Q-rank at least 3 is zero.
| math.GT math.AT | we study a metric version of the simplicial volume on riemannian manifolds the lipschitz simplicial volume with applications to degree theorems in mind we establish a proportionality principle and a product inequality from which we derive an extension of gromovs volume comparison theorem to products of negatively curved manifolds or locally symmetric spaces of noncompact type in contrast we provide vanishing results for the ordinary simplicial volume for instance we show that the ordinary simplicial volume of noncompact locally symmetric spaces with finite volume of qrank at least 3 is zero | [['we', 'study', 'a', 'metric', 'version', 'of', 'the', 'simplicial', 'volume', 'on', 'riemannian', 'manifolds', 'the', 'lipschitz', 'simplicial', 'volume', 'with', 'applications', 'to', 'degree', 'theorems', 'in', 'mind', 'we', 'establish', 'a', 'proportionality', 'principle', 'and', 'a', 'product', 'inequality', 'from', 'which', 'we', 'derive', 'an', 'extension', 'of', 'gromovs', 'volume', 'comparison', 'theorem', 'to', 'products', 'of', 'negatively', 'curved', 'manifolds', 'or', 'locally', 'symmetric', 'spaces', 'of', 'noncompact', 'type', 'in', 'contrast', 'we', 'provide', 'vanishing', 'results', 'for', 'the', 'ordinary', 'simplicial', 'volume', 'for', 'instance', 'we', 'show', 'that', 'the', 'ordinary', 'simplicial', 'volume', 'of', 'noncompact', 'locally', 'symmetric', 'spaces', 'with', 'finite', 'volume', 'of', 'qrank', 'at', 'least', '3', 'is', 'zero']] | [-0.12578086461104288, 0.09346740922502339, -0.0698009122899928, 0.10383212302970075, -0.08640987455722067, -0.11096313319957027, -0.010834002386328282, 0.3430449832844865, -0.2545302187343343, -0.20005148184577842, 0.1646565855045772, -0.2896288485409549, -0.1263004815906982, 0.16053584036366134, -0.20041189814283217, -0.0560950114094949, 0.04481630918702909, 0.09704704443280647, -0.11153958638577344, -0.2862286560933341, 0.47132549934334805, -0.0709930440554252, 0.2662699453143792, 0.1415650491541313, 0.1505184273215031, 0.005050210275170445, -0.043544372461818075, 0.1252772186238032, -0.2052506804751689, 0.17994156614672596, 0.2663776888870276, 0.04800336870907263, 0.21221400007278055, -0.36524975773683943, -0.17222909128886985, 0.23627278137092406, 0.03478861078210584, 0.045320143548331665, -0.05397312429216741, -0.2807873289233872, 0.097409861777643, -0.13595090023958978, -0.24990071782044002, -0.07571226390140069, -0.008175155260487572, -0.011317945507631362, -0.22525382169860078, 0.07317049806274903, 0.09435622767637392, 0.07035515819686455, -0.08549689045073566, -0.07610268377095133, -0.02605593467520161, 0.05230902860729167, -0.05222940803403137, 0.02852153144316277, 0.09921396780595347, -0.020054755998509272, -0.12843765527173712, 0.35314453697180026, -0.09405301590091907, -0.29828246541648773, 0.14373040349596272, -0.1831938318990089, -0.13973753257132657, 0.12062600359402514, 0.16744053578720644, 0.1818913870214761, -0.044000087561761284, 0.170379369150576, -0.07872646516649523, 0.1006475194628545, 0.11364014428313617, 0.005997090564610867, 0.08688802209652059, 0.12961321237118362, 0.18718473817948456, 0.16518629680945446, 0.030457461296304406, -0.10707105479361796, -0.36605940267934906, -0.24430398065801506, -0.15445803894129181, 0.18813477823981545, -0.2086991007172101, -0.24040789392541398, 0.268459907538452, -0.032212736120877355, 0.14932126657663752, 0.18341904305622678, 0.24500823323870755, 0.006456531144187346, 0.029800357450577585, 0.06296279595187446, 0.12300695298792241, 0.2452346573066949, 0.04544346777026306, -0.08266056803628229, -0.05743355422720804, 0.2433393155275793] |
710.1636 | Lensing and CMB Anisotropies by Cosmic Strings at a Junction | The metric around straight arbitrarily-oriented cosmic strings forming a
stationary junction is obtained at the linearized level. It is shown that the
geometry is flat. The sum rules for lensing by this configuration and the
anisotropies of the CMB are obtained.
| hep-th astro-ph gr-qc | the metric around straight arbitrarilyoriented cosmic strings forming a stationary junction is obtained at the linearized level it is shown that the geometry is flat the sum rules for lensing by this configuration and the anisotropies of the cmb are obtained | [['the', 'metric', 'around', 'straight', 'arbitrarilyoriented', 'cosmic', 'strings', 'forming', 'a', 'stationary', 'junction', 'is', 'obtained', 'at', 'the', 'linearized', 'level', 'it', 'is', 'shown', 'that', 'the', 'geometry', 'is', 'flat', 'the', 'sum', 'rules', 'for', 'lensing', 'by', 'this', 'configuration', 'and', 'the', 'anisotropies', 'of', 'the', 'cmb', 'are', 'obtained']] | [-0.19064332667181677, 0.12427662832594318, -0.07427964719557544, 0.09896619157388625, -0.037435953618913165, -0.06920569388922758, -0.04259757953695953, 0.3516602358985238, -0.2606560925544217, -0.22406502336933753, 0.04545163869766927, -0.33301893703457786, -0.06786159575894112, 0.1583080967652566, 0.05450476231280624, -0.0021999627124609017, 0.0506890265245513, 0.041438086091813334, -0.038174681064513764, -0.25905379081974034, 0.3282338661573282, 0.17391141020215867, 0.35025791542195694, -0.004412656320576988, 0.12151208435889424, -0.04293816148803183, -0.031034013526173444, 0.1016260075223882, -0.12857477055247107, 0.07994945808001454, 0.20461360792197833, 0.10509880793439906, 0.10858056667010958, -0.36793713146684376, -0.21588295340969613, 0.067045500093117, 0.12524567715959942, 0.13150773479080782, 0.01901986588519521, -0.30979968493849763, 0.13087251531414507, -0.060105774438054094, -0.15187492200014432, -0.00016393317136822677, -0.01338417755394447, 0.002419901739169912, -0.21538007422918226, 0.07541771669213365, 0.05955242347426531, -0.01645183831271602, -0.05024354062724586, -0.06712441866303136, -0.057572877909079556, 0.06536090634081786, 0.03744222340741899, 0.1008051912926376, 0.1262229281568491, -0.11077335299128985, -0.044435765764607886, 0.37396284656190293, -0.06492547654524082, -0.2075344275955747, 0.07460825713124217, -0.17730210543178568, -0.10213722756541357, 0.1279638558626175, 0.050080347067971785, 0.12655427833882774, -0.17354453793476995, 0.16456371809145798, -0.01216643405283188, 0.11536277003768014, 0.1726414940274525, -0.039315254938584274, 0.3650773929931769, 0.11156508385589937, 0.11077651622273572, 0.13810834679298284, -0.12014992962159761, -0.07170037545899792, -0.3205435678544568, -0.04352598732746229, -0.18737910233619737, 0.09783973533478452, -0.1441110130623068, -0.21262752373983926, 0.3488635566176438, 0.03045034873094864, 0.18322051769738631, 0.06833156325468202, 0.3163752625809937, 0.13303601305659224, 0.03953488321020836, 0.0718246536988129, 0.321452766060602, 0.12989257746546462, 0.10556578764794167, -0.20047685613276484, 0.008216149162319376, 0.07803237822088527] |
710.1637 | A Cosmic Model Parameterizing the late Universe | A simple speed-up cosmology model is proposed to account for the dark energy
puzzle. We condense contributions from dark energy and curvature term into one
effective parameter in order to reduce parameter degeneracies and to find any
deviation from flat concordance $\Lambda$CDM model, by considering that the
discrimination between dynamical and non-dynamical sources of cosmic
acceleration as the best starting point for analyzing dark energy data sets
both at present and in future. We also combine recent Type Ia Supernova (SNIa),
Cosmic Microwave Background (CMB) and Baryon Oscillation (BAO) to constrain
model parameter space. Degeneracies between model parameters are discussed by
using both degeneracy diagram and data analysis including high redshift
information from Gamma Ray Bursts (GRBs) sample. The analysis results show that
our model is consistent with cosmological observations. We try to distinct the
curvature effects from the specially scaling dark energy component as
parameterized. We study the linear growth of large scale structure, and finally
show the effective dark energy equation of state in our model and how the
matter component coincidences with the dark energy numerically.
| astro-ph | a simple speedup cosmology model is proposed to account for the dark energy puzzle we condense contributions from dark energy and curvature term into one effective parameter in order to reduce parameter degeneracies and to find any deviation from flat concordance lambdacdm model by considering that the discrimination between dynamical and nondynamical sources of cosmic acceleration as the best starting point for analyzing dark energy data sets both at present and in future we also combine recent type ia supernova snia cosmic microwave background cmb and baryon oscillation bao to constrain model parameter space degeneracies between model parameters are discussed by using both degeneracy diagram and data analysis including high redshift information from gamma ray bursts grbs sample the analysis results show that our model is consistent with cosmological observations we try to distinct the curvature effects from the specially scaling dark energy component as parameterized we study the linear growth of large scale structure and finally show the effective dark energy equation of state in our model and how the matter component coincidences with the dark energy numerically | [['a', 'simple', 'speedup', 'cosmology', 'model', 'is', 'proposed', 'to', 'account', 'for', 'the', 'dark', 'energy', 'puzzle', 'we', 'condense', 'contributions', 'from', 'dark', 'energy', 'and', 'curvature', 'term', 'into', 'one', 'effective', 'parameter', 'in', 'order', 'to', 'reduce', 'parameter', 'degeneracies', 'and', 'to', 'find', 'any', 'deviation', 'from', 'flat', 'concordance', 'lambdacdm', 'model', 'by', 'considering', 'that', 'the', 'discrimination', 'between', 'dynamical', 'and', 'nondynamical', 'sources', 'of', 'cosmic', 'acceleration', 'as', 'the', 'best', 'starting', 'point', 'for', 'analyzing', 'dark', 'energy', 'data', 'sets', 'both', 'at', 'present', 'and', 'in', 'future', 'we', 'also', 'combine', 'recent', 'type', 'ia', 'supernova', 'snia', 'cosmic', 'microwave', 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0.11436022614914529, 0.07088644981810917, -0.24404148099288428, -0.02913685687674553, 0.005648578297315613] |
710.1638 | Non-Supersymmetric Attractor Flow in Symmetric Spaces | We derive extremal black hole solutions for a variety of four dimensional
models which, after Kaluza-Klein reduction, admit a description in terms of 3D
gravity coupled to a sigma model with symmetric target space. The solutions are
in correspondence with certain nilpotent generators of the isometry group. In
particular, we provide the exact solution for a non-BPS black hole with generic
charges and asymptotic moduli in N=2 supergravity coupled to one vector
multiplet. Multi-centered solutions can also be generated with this technique.
It is shown that the non-supersymmetric solutions lack the intricate moduli
space of bound configurations that are typical of the supersymmetric case.
| hep-th | we derive extremal black hole solutions for a variety of four dimensional models which after kaluzaklein reduction admit a description in terms of 3d gravity coupled to a sigma model with symmetric target space the solutions are in correspondence with certain nilpotent generators of the isometry group in particular we provide the exact solution for a nonbps black hole with generic charges and asymptotic moduli in n2 supergravity coupled to one vector multiplet multicentered solutions can also be generated with this technique it is shown that the nonsupersymmetric solutions lack the intricate moduli space of bound configurations that are typical of the supersymmetric case | [['we', 'derive', 'extremal', 'black', 'hole', 'solutions', 'for', 'a', 'variety', 'of', 'four', 'dimensional', 'models', 'which', 'after', 'kaluzaklein', 'reduction', 'admit', 'a', 'description', 'in', 'terms', 'of', '3d', 'gravity', 'coupled', 'to', 'a', 'sigma', 'model', 'with', 'symmetric', 'target', 'space', 'the', 'solutions', 'are', 'in', 'correspondence', 'with', 'certain', 'nilpotent', 'generators', 'of', 'the', 'isometry', 'group', 'in', 'particular', 'we', 'provide', 'the', 'exact', 'solution', 'for', 'a', 'nonbps', 'black', 'hole', 'with', 'generic', 'charges', 'and', 'asymptotic', 'moduli', 'in', 'n2', 'supergravity', 'coupled', 'to', 'one', 'vector', 'multiplet', 'multicentered', 'solutions', 'can', 'also', 'be', 'generated', 'with', 'this', 'technique', 'it', 'is', 'shown', 'that', 'the', 'nonsupersymmetric', 'solutions', 'lack', 'the', 'intricate', 'moduli', 'space', 'of', 'bound', 'configurations', 'that', 'are', 'typical', 'of', 'the', 'supersymmetric', 'case']] | [-0.1417779203833421, 0.09713729859616321, -0.043925594366066016, 0.09556631018550923, -0.0860873622004874, -0.18916704334641019, -0.037567185157408506, 0.30374301119725433, -0.15961305054056887, -0.27889222483365583, 0.130889960132593, -0.29291388385284406, -0.15879566969502215, 0.1492865254672674, -0.061883749798513375, 0.05164453595464762, 0.03516375256003812, 0.07846905315958654, -0.12597254025660312, -0.26637972607456434, 0.3747370229281772, -0.03374124820738171, 0.26649077186504233, -0.032882157200499654, 0.12628462770506024, -0.027280086799202345, 0.06727117651938058, 0.028520211979831893, -0.14519208113177648, 0.15356929281439918, 0.2830117542106424, 0.1061948815969607, 0.11531021618821587, -0.4123822667528517, -0.212852094322443, 0.15281356203083235, 0.1822776664675285, 0.1801374461445868, -0.08057473405810575, -0.24837190107791685, 0.09988974990287366, -0.2025432569655375, -0.19213362015300214, -0.11650434248328495, 0.040680001355492726, -0.04832944709162872, -0.25178357334740353, 0.06771578480094412, 0.030266013607615605, -0.027468479408595998, -0.14496564964513078, -0.02581667131254597, -0.10261999250640376, 0.04774485472500181, 0.1321792375316503, 0.026134686150516454, 0.07713888655416667, -0.1544643581222632, -0.12900908682674456, 0.3528128784382716, -0.0747885944281454, -0.29942993241218996, 0.17616821441557617, -0.16338188049849123, -0.144244691609996, 0.13916946386094564, 0.1255457480527604, 0.23240083016347712, -0.09999161116026628, 0.22161873678011873, -0.07521677901072857, 0.12587420019442036, 0.09518652131709342, 0.06851090345298871, 0.2739284142421988, 0.13646478896127798, 0.057264157324075665, 0.1621740488234746, 0.011929606660627402, -0.12139813412124148, -0.38175008804179156, -0.14673333580307932, -0.063141603819811, 0.11948008601589558, -0.18548584953742436, -0.2084895353862241, 0.37544309309361357, 0.06454198762870735, 0.1684965290970957, 0.05338027880889758, 0.17101072108086485, 0.0940933403505299, 0.03649058715046312, 0.07064907855909461, 0.2544100679313907, 0.13075677889103715, 0.021292978474565852, -0.2042809625272639, -0.13173216078519964, 0.21181636509181073] |
710.1639 | Electron tunneling spectroscopy of a quantum antidot in the quantum Hall
regime | Quantum antidot, a small potential hill introduced into a two-dimensional
electron system, presents an attractive tool to study quantum mechanics of
interacting electrons.Here, we report experiments on electron resonant
tunneling via a quantum antidot on the integer i = 1, 2, 3, 4, 5, and 6 quantum
Hall plateaus. Several new features are reported. First, as a function of
magnetic field, we observe up to six quasiperiodic resonant tunneling peaks
within the fundamental flux period: when flux h/e is added to the area of the
antidot there are i peaks on the i-th integer plateau, when i spin-polarized
Landau levels are occupied. Corresponding back gate voltage data show one peak
per added charge e on all integer plateaus. Second, we observe tunneling dips
in four-terminal resistance ("forward scattering") on the even i = 2, 4, and 6
plateaus, when population of both spins is nearly equal. Also, for the first
time, we report an internal structure within the h/e period: on the i = 3
spin-split plateau, two of the three resonant tunneling peaks are higher and/or
closer than the third. Puzzlingly, in this regime, when back gate voltage is
swept, the tunneling peaks are grouped in pairs. These results are attributed
to the dominance of the electron-electron Coulomb interaction, effectively
mixing Landau level occupation, and to the self-consistent electrostatics of
the antidot.
| cond-mat.mes-hall | quantum antidot a small potential hill introduced into a twodimensional electron system presents an attractive tool to study quantum mechanics of interacting electronshere we report experiments on electron resonant tunneling via a quantum antidot on the integer i 1 2 3 4 5 and 6 quantum hall plateaus several new features are reported first as a function of magnetic field we observe up to six quasiperiodic resonant tunneling peaks within the fundamental flux period when flux he is added to the area of the antidot there are i peaks on the ith integer plateau when i spinpolarized landau levels are occupied corresponding back gate voltage data show one peak per added charge e on all integer plateaus second we observe tunneling dips in fourterminal resistance forward scattering on the even i 2 4 and 6 plateaus when population of both spins is nearly equal also for the first time we report an internal structure within the he period on the i 3 spinsplit plateau two of the three resonant tunneling peaks are higher andor closer than the third puzzlingly in this regime when back gate voltage is swept the tunneling peaks are grouped in pairs these results are attributed to the dominance of the electronelectron coulomb interaction effectively mixing landau level occupation and to the selfconsistent electrostatics of the antidot | [['quantum', 'antidot', 'a', 'small', 'potential', 'hill', 'introduced', 'into', 'a', 'twodimensional', 'electron', 'system', 'presents', 'an', 'attractive', 'tool', 'to', 'study', 'quantum', 'mechanics', 'of', 'interacting', 'electronshere', 'we', 'report', 'experiments', 'on', 'electron', 'resonant', 'tunneling', 'via', 'a', 'quantum', 'antidot', 'on', 'the', 'integer', 'i', '1', '2', '3', '4', '5', 'and', '6', 'quantum', 'hall', 'plateaus', 'several', 'new', 'features', 'are', 'reported', 'first', 'as', 'a', 'function', 'of', 'magnetic', 'field', 'we', 'observe', 'up', 'to', 'six', 'quasiperiodic', 'resonant', 'tunneling', 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710.164 | Non-perturbative scalar gauge-invariant metric fluctuations from the
Ponce de Leon metric in the STM theory of gravity | We study our non-perturbative formalism to describe scalar gauge-invariant
metric fluctuations by extending the Ponce de Leon metric.
| gr-qc | we study our nonperturbative formalism to describe scalar gaugeinvariant metric fluctuations by extending the ponce de leon metric | [['we', 'study', 'our', 'nonperturbative', 'formalism', 'to', 'describe', 'scalar', 'gaugeinvariant', 'metric', 'fluctuations', 'by', 'extending', 'the', 'ponce', 'de', 'leon', 'metric']] | [-0.1699544597003195, 0.14597220431702831, -0.21218425511486, 0.17043712942136657, -0.1679810704663396, -0.06529660750594404, -0.08902216857920091, 0.21895652543753386, -0.09518113980690639, -0.2516438215970993, -0.04600346225520803, -0.30012690814005005, -0.22695462576424083, 0.06858149253659779, -0.11379030398610565, 0.03419958572420809, -0.05857682952450381, -0.07322822304235564, -0.018606816230910934, -0.22224969246114293, 0.4448557082149718, 0.11807736278408104, 0.241735578307675, 0.04968113049916509, 0.10703473199262387, 0.10497851383277318, -0.1515357383630342, 0.025626359093520377, -0.23672406628934872, 0.08484569000494149, 0.2397073596302006, 0.11229814651111762, 0.22369769205235773, -0.29346819095533444, -0.27034851044623387, 0.028931392945297476, 0.05810823353628317, 0.1760295021166611, 0.08291963684476084, -0.45383036027972895, 0.0813097395002842, -0.21812247671186924, -0.18755161925219, -0.23687478201463819, -0.015637205499741767, -0.13172920308231065, -0.14896125253289938, 0.03377375937998295, 0.06234083717895879, -0.02803389722895291, -0.08326496771122846, -0.032142540336483054, 0.0009097562093908588, -0.013046454379542006, 0.0673276081474291, 0.18983668990484956, 0.1358338269767248, -0.004361170447534985, -0.14315807478528264, 0.24303604279541308, -0.23385650757700205, -0.1997758321877983, 0.03759809860235287, -0.12918510575157902, -0.14437055587768555, -0.02999386853641934, 0.10045878895713638, 0.26080655091856086, -0.2012372635718849, 0.3114040212498771, 0.05242578462801046, 0.04069780744612217, 0.17131938085529125, -0.0033239703625440598, 0.1333160904339618, 0.0176863269880414, -0.03901533083990216, 0.12045625258340603, 0.13850848894152376, -0.1887927848017878, -0.38019758545690113, -0.1569989878514914, -0.12186299190701295, 0.15870991856273678, -0.1600726316165593, -0.22315413820453817, 0.39188147253460354, 0.2157154493033886, 0.11796620136333837, 0.08173103245078689, 0.21776021659995118, 0.05809836408459685, -0.031093118388930127, 0.1019392916932702, 0.2911914380060302, 0.2633747274392388, 0.17097606165851983, -0.26210118587833775, -0.1770523020790683, 0.22814249459447133] |
710.1641 | A polynomial bound for untangling geometric planar graphs | To untangle a geometric graph means to move some of the vertices so that the
resulting geometric graph has no crossings. Pach and Tardos [Discrete Comput.
Geom., 2002] asked if every n-vertex geometric planar graph can be untangled
while keeping at least n^\epsilon vertices fixed. We answer this question in
the affirmative with \epsilon=1/4. The previous best known bound was
\Omega((\log n / \log\log n)^{1/2}). We also consider untangling geometric
trees. It is known that every n-vertex geometric tree can be untangled while
keeping at least (n/3)^{1/2} vertices fixed, while the best upper bound was
O(n\log n)^{2/3}. We answer a question of Spillner and Wolff [arXiv:0709.0170
2007] by closing this gap for untangling trees. In particular, we show that for
infinitely many values of n, there is an n-vertex geometric tree that cannot be
untangled while keeping more than 3(n^{1/2}-1) vertices fixed. Moreover, we
improve the lower bound to (n/2)^{1/2}.
| cs.CG cs.DM math.CO | to untangle a geometric graph means to move some of the vertices so that the resulting geometric graph has no crossings pach and tardos discrete comput geom 2002 asked if every nvertex geometric planar graph can be untangled while keeping at least nepsilon vertices fixed we answer this question in the affirmative with epsilon14 the previous best known bound was omegalog n loglog n12 we also consider untangling geometric trees it is known that every nvertex geometric tree can be untangled while keeping at least n312 vertices fixed while the best upper bound was onlog n23 we answer a question of spillner and wolff arxiv07090170 2007 by closing this gap for untangling trees in particular we show that for infinitely many values of n there is an nvertex geometric tree that cannot be untangled while keeping more than 3n121 vertices fixed moreover we improve the lower bound to n212 | [['to', 'untangle', 'a', 'geometric', 'graph', 'means', 'to', 'move', 'some', 'of', 'the', 'vertices', 'so', 'that', 'the', 'resulting', 'geometric', 'graph', 'has', 'no', 'crossings', 'pach', 'and', 'tardos', 'discrete', 'comput', 'geom', '2002', 'asked', 'if', 'every', 'nvertex', 'geometric', 'planar', 'graph', 'can', 'be', 'untangled', 'while', 'keeping', 'at', 'least', 'nepsilon', 'vertices', 'fixed', 'we', 'answer', 'this', 'question', 'in', 'the', 'affirmative', 'with', 'epsilon14', 'the', 'previous', 'best', 'known', 'bound', 'was', 'omegalog', 'n', 'loglog', 'n12', 'we', 'also', 'consider', 'untangling', 'geometric', 'trees', 'it', 'is', 'known', 'that', 'every', 'nvertex', 'geometric', 'tree', 'can', 'be', 'untangled', 'while', 'keeping', 'at', 'least', 'n312', 'vertices', 'fixed', 'while', 'the', 'best', 'upper', 'bound', 'was', 'onlog', 'n23', 'we', 'answer', 'a', 'question', 'of', 'spillner', 'and', 'wolff', 'arxiv07090170', '2007', 'by', 'closing', 'this', 'gap', 'for', 'untangling', 'trees', 'in', 'particular', 'we', 'show', 'that', 'for', 'infinitely', 'many', 'values', 'of', 'n', 'there', 'is', 'an', 'nvertex', 'geometric', 'tree', 'that', 'can', 'not', 'be', 'untangled', 'while', 'keeping', 'more', 'than', '3n121', 'vertices', 'fixed', 'moreover', 'we', 'improve', 'the', 'lower', 'bound', 'to', 'n212']] | [-0.12965638610731564, 0.15255520981429604, -0.07002258499400044, 0.07422036363040002, -0.1207547479572066, -0.21367173531048356, 0.094709704252915, 0.3835664007774725, -0.24000735181941316, -0.41129303092555125, 0.07046776959438156, -0.3381220439106834, -0.16000026244777857, 0.09917102036934321, -0.15318183959493425, 0.0494968077940209, 0.1002821038432774, 0.057270423236752854, 0.033182761929675834, -0.3605555612924525, 0.21619680706691946, 0.017994384868561485, 0.141506272865472, 0.10501371130353587, 0.08657217779090678, 0.021137586253105987, 0.041148120493051554, 0.042518993979003154, -0.19461662855199666, 0.04917209362927951, 0.28371452603831276, 0.13113780195197586, 0.23151366119304684, -0.3971790233733874, -0.14022226653182182, 0.21784191029811545, 0.1921129491707614, 0.0886989367498579, 0.03505688157282234, -0.19589509082590642, 0.13449195279030218, -0.03435228184082539, -0.10389316875842355, -0.008619177101344681, 0.10521364178457836, -0.08029882152577494, -0.2484476410840847, -0.032599221349758775, 0.17042229906180684, 0.026559280413543475, 0.05777876041227711, -0.16420557809444017, -0.05276808282677211, 0.133344826279018, -0.05763147733693035, 0.14778054478343855, 0.018392116004810194, -0.08766881903304027, -0.18958159055573498, 0.31140215074656163, -0.021556239973988898, -0.17402069922219834, 0.12800116538462944, -0.13894505851401562, -0.22200662460887716, 0.130446494683674, 0.09028423142929871, 0.13674345371775887, -0.08990279056284685, 0.1756122974278152, -0.16885575786435686, 0.1632796288182845, 0.23489395657009413, -0.0337651115406596, 0.08436465175461252, 0.10533206287746122, 0.19092641724233966, 0.149557184073979, 0.05715098791457966, -0.02222596691148419, -0.25572736292038445, -0.11737248953709024, -0.2239757084610815, 0.06500935815854812, -0.19221062654986515, -0.14414798664435946, 0.3268826149505417, 0.11426525732635387, 0.22572122590274227, 0.14178119227290154, 0.23684263252494794, 0.09909668062072323, -0.008762374011875719, 0.2730196016796288, 0.1465507502531788, 0.09486339846705118, -0.03785652622935318, -0.1425023819288226, 0.10084821812992244, 0.16020235496566815] |
710.1642 | Linear Recurrences in the Degree Sequences of Monomial Mappings | Let $A$ be an integer matrix, and let $f_A$ be the associated monomial map.
We give a connection between the eigenvalues of $A$ and existence of a linear
recurrence relation in the sequence of degrees.
| math.DS | let a be an integer matrix and let f_a be the associated monomial map we give a connection between the eigenvalues of a and existence of a linear recurrence relation in the sequence of degrees | [['let', 'a', 'be', 'an', 'integer', 'matrix', 'and', 'let', 'f_a', 'be', 'the', 'associated', 'monomial', 'map', 'we', 'give', 'a', 'connection', 'between', 'the', 'eigenvalues', 'of', 'a', 'and', 'existence', 'of', 'a', 'linear', 'recurrence', 'relation', 'in', 'the', 'sequence', 'of', 'degrees']] | [-0.2302633789767112, 0.13490834018323636, -0.1278100938669273, -0.0019888361383761676, -0.06735317504831723, -0.13028441901717866, 0.014154672359914652, 0.28479540906846523, -0.37697174942919187, -0.21771977400141104, 0.12061851615019675, -0.28014493946518215, -0.17123838045767376, 0.16047586956327514, -0.035124475296054565, -0.07030992184299975, 0.04303683457630021, 0.09482516052999666, -0.13643036632399475, -0.19497273958155087, 0.31954220554658347, -0.017901724097984177, 0.1022458989239697, 0.030088420451751776, 0.14526465258428028, -0.025961352113102163, 0.03742032854684762, -0.006238554697483778, -0.1504510115299906, 0.1435171033721417, 0.2648147424949067, 0.14188520860459122, 0.266880790011159, -0.37365844108696494, -0.08738723201677204, 0.296997439541987, 0.13136240752147776, -0.046109811535903385, -0.01735567349408354, -0.22764041940016405, 0.12115754671394825, -0.13524368220408048, -0.16689592780811446, -0.05902747853126909, 0.09218456372618675, 0.04910736312823636, -0.3777027085955654, 0.06002725772559643, 0.07766246106475591, 0.1376665677077004, -0.013232590497604437, -0.07903722565887229, -0.02279086336493492, 0.08329620469095451, -0.045490885845252446, 0.06692319939445172, -0.03214103449136019, -0.07868288735459958, -0.13446531833282538, 0.35298138029341186, -0.08753810405199017, -0.2616054863802024, 0.08807317465543747, -0.1413721535887037, -0.09183119368473334, 0.08051514497825078, 0.1575088365801743, 0.08937802469091756, -0.07171080900090081, 0.14767424889640615, -0.1268759350691523, 0.17481342628598212, 0.06390201430767775, 0.004512478397893054, 0.27430990556521073, 0.06075068640389613, 0.10445568851594414, 0.17494007271182324, 0.020089542065813606, 0.013723161603723253, -0.35899830439261027, -0.1943293012013393, -0.18568221777677535, 0.19042648960437095, -0.19492641668683583, -0.16400785339730126, 0.44783506201846257, 0.05369995859052454, 0.29001549572816915, 0.16433074402489833, 0.1440419813351972, 0.18715923119868552, -0.0020939370883362634, 0.034168125103626934, 0.08434525749513082, 0.28438930405037743, -0.032200082364891254, -0.220138060514416, 0.014101128799042531, 0.18163919584559543] |
710.1643 | The reflection of a Maxwell-Gaussian beam by a planar surface | The reflection of a three-dimensional vectorial Maxwell-Gaussian beam by a
planar surface is studied. The surface is characterized by its complex
reflection coefficients $r_s(\bk)$ and $r_p(\bk)$ for TE and TM electromagnetic
plane waves of wavevector $\bk$, respectively. The field impinging upon the
reflecting surface is modeled as a quasi-monochromatic fundamental Gaussian
beam suitably modified in order to satisfy Maxwell equations (Maxwell-Gaussian
beam). Analytical expressions, correct up to the second order in a perturbation
expansion, are given for the reflected electric and magnetic field,
respectively. We found that first order terms in the perturbation expansion
account for a longitudinal shift (Goos-H\"{a}nchen effect) of the whole
reflected beam, while second order terms modifies the transverse shape of the
beam which is, at this order, no longer cylindrically symmetric.
| physics.optics | the reflection of a threedimensional vectorial maxwellgaussian beam by a planar surface is studied the surface is characterized by its complex reflection coefficients r_sbk and r_pbk for te and tm electromagnetic plane waves of wavevector bk respectively the field impinging upon the reflecting surface is modeled as a quasimonochromatic fundamental gaussian beam suitably modified in order to satisfy maxwell equations maxwellgaussian beam analytical expressions correct up to the second order in a perturbation expansion are given for the reflected electric and magnetic field respectively we found that first order terms in the perturbation expansion account for a longitudinal shift gooshanchen effect of the whole reflected beam while second order terms modifies the transverse shape of the beam which is at this order no longer cylindrically symmetric | [['the', 'reflection', 'of', 'a', 'threedimensional', 'vectorial', 'maxwellgaussian', 'beam', 'by', 'a', 'planar', 'surface', 'is', 'studied', 'the', 'surface', 'is', 'characterized', 'by', 'its', 'complex', 'reflection', 'coefficients', 'r_sbk', 'and', 'r_pbk', 'for', 'te', 'and', 'tm', 'electromagnetic', 'plane', 'waves', 'of', 'wavevector', 'bk', 'respectively', 'the', 'field', 'impinging', 'upon', 'the', 'reflecting', 'surface', 'is', 'modeled', 'as', 'a', 'quasimonochromatic', 'fundamental', 'gaussian', 'beam', 'suitably', 'modified', 'in', 'order', 'to', 'satisfy', 'maxwell', 'equations', 'maxwellgaussian', 'beam', 'analytical', 'expressions', 'correct', 'up', 'to', 'the', 'second', 'order', 'in', 'a', 'perturbation', 'expansion', 'are', 'given', 'for', 'the', 'reflected', 'electric', 'and', 'magnetic', 'field', 'respectively', 'we', 'found', 'that', 'first', 'order', 'terms', 'in', 'the', 'perturbation', 'expansion', 'account', 'for', 'a', 'longitudinal', 'shift', 'gooshanchen', 'effect', 'of', 'the', 'whole', 'reflected', 'beam', 'while', 'second', 'order', 'terms', 'modifies', 'the', 'transverse', 'shape', 'of', 'the', 'beam', 'which', 'is', 'at', 'this', 'order', 'no', 'longer', 'cylindrically', 'symmetric']] | [-0.17708544939237295, 0.18261973315765928, -0.05470743203405901, 0.036142791127099, -0.10577077407878442, -0.06853725900873542, -0.039472311920272646, 0.3878571648822456, -0.2381512288187371, -0.27385887709736334, 0.04504883879142981, -0.252653410303269, -0.1000696903583212, 0.16667218931538405, 0.04626880119722642, 0.054719930223177844, -0.047365736943425336, 0.04530807521927063, -0.07919299798124455, -0.14365525163526907, 0.3197154993855501, 0.062041110246533866, 0.28421040250515167, 0.041288353907341355, 0.11947080923519174, 0.06918954464500068, -0.0020828538891080705, 0.03795389456246964, -0.12146727233719831, 0.07797637055857015, 0.1876741454051044, -0.023057730381804534, 0.17783556445313287, -0.42453925833716744, -0.22133440291509032, 0.02668804561978847, 0.12712792335192627, 0.13147843743724077, -0.04052363242954016, -0.268605864484657, 0.060380871957320656, -0.10192102001842539, -0.19418719647543842, -0.02731311957153385, 0.004440442408954144, 0.0431598746365692, -0.28203531047023955, 0.06932525057345629, 0.09573372201154344, 0.04078834201209247, -0.05300784350437738, -0.08161470368833731, -0.07264719243527802, 0.05327809244379035, 0.04428212627669277, 0.07962331988802943, 0.09421986305025086, -0.12404035993462398, -0.04928441909065501, 0.42658355514534185, -0.09932434403234482, -0.21576914223307958, 0.06303169885955628, -0.2383479328452014, 0.010112628779664148, 0.22581379324365713, 0.18824124608769036, 0.10677358434443958, -0.1352564191491511, 0.08659983815512712, 0.013868649635219672, 0.17000472732174562, 0.19068442025702814, -0.013491452103824218, 0.20816699715453338, 0.08846380042874055, 0.054278989043850145, 0.14685724704663772, -0.08952559159351055, -0.05481975273702477, -0.336753518469479, -0.14257283995813522, -0.15768898821905347, 0.017712943652858498, -0.0729541414590041, -0.16817811360300258, 0.4146011809467292, 0.05828194679449299, 0.12470773010529944, -0.004943069100158564, 0.32577172326320997, 0.2203595190474546, 0.032252168901203596, 0.05437766762114451, 0.24407235916215378, 0.2071154479464119, 0.1283128608999102, -0.25160735224604563, 0.029061559179309207, 0.046051670071959004] |
710.1644 | A mechanistic model of separation bubble | This work uncovers the low-dimensional nature the complex dynamics of
actuated separated flows. Namely, motivated by the problem of model-based
predictive control of separated flows, we identify the requirements on a
model-based observer and the key variables and propose a prototype model in the
case of thick airfoils as motivated by practical applications.
The approach in this paper differs fundamentally from the logic behind known
models, which are either linear or based on POD-truncations and are unable to
reflect even the crucial bifurcation and hysteresis inherent in separation
phenomena. This new look at the problem naturally leads to several important
implications, such as, firstly, uncovering the physical mechanisms for
hysteresis, secondly, predicting a finite amplitude instability of the bubble,
and thirdly to new issues to be studied theoretically and tested
experimentally. More importantly, by employing systematic reasoning, the
low-dimensional nature of these complex phenomena at the coarse level is
revealed.
| physics.flu-dyn | this work uncovers the lowdimensional nature the complex dynamics of actuated separated flows namely motivated by the problem of modelbased predictive control of separated flows we identify the requirements on a modelbased observer and the key variables and propose a prototype model in the case of thick airfoils as motivated by practical applications the approach in this paper differs fundamentally from the logic behind known models which are either linear or based on podtruncations and are unable to reflect even the crucial bifurcation and hysteresis inherent in separation phenomena this new look at the problem naturally leads to several important implications such as firstly uncovering the physical mechanisms for hysteresis secondly predicting a finite amplitude instability of the bubble and thirdly to new issues to be studied theoretically and tested experimentally more importantly by employing systematic reasoning the lowdimensional nature of these complex phenomena at the coarse level is revealed | [['this', 'work', 'uncovers', 'the', 'lowdimensional', 'nature', 'the', 'complex', 'dynamics', 'of', 'actuated', 'separated', 'flows', 'namely', 'motivated', 'by', 'the', 'problem', 'of', 'modelbased', 'predictive', 'control', 'of', 'separated', 'flows', 'we', 'identify', 'the', 'requirements', 'on', 'a', 'modelbased', 'observer', 'and', 'the', 'key', 'variables', 'and', 'propose', 'a', 'prototype', 'model', 'in', 'the', 'case', 'of', 'thick', 'airfoils', 'as', 'motivated', 'by', 'practical', 'applications', 'the', 'approach', 'in', 'this', 'paper', 'differs', 'fundamentally', 'from', 'the', 'logic', 'behind', 'known', 'models', 'which', 'are', 'either', 'linear', 'or', 'based', 'on', 'podtruncations', 'and', 'are', 'unable', 'to', 'reflect', 'even', 'the', 'crucial', 'bifurcation', 'and', 'hysteresis', 'inherent', 'in', 'separation', 'phenomena', 'this', 'new', 'look', 'at', 'the', 'problem', 'naturally', 'leads', 'to', 'several', 'important', 'implications', 'such', 'as', 'firstly', 'uncovering', 'the', 'physical', 'mechanisms', 'for', 'hysteresis', 'secondly', 'predicting', 'a', 'finite', 'amplitude', 'instability', 'of', 'the', 'bubble', 'and', 'thirdly', 'to', 'new', 'issues', 'to', 'be', 'studied', 'theoretically', 'and', 'tested', 'experimentally', 'more', 'importantly', 'by', 'employing', 'systematic', 'reasoning', 'the', 'lowdimensional', 'nature', 'of', 'these', 'complex', 'phenomena', 'at', 'the', 'coarse', 'level', 'is', 'revealed']] | [-0.1056357274705469, 0.10359227381671635, -0.08461780077309017, 0.08232926009941671, -0.08833176152305615, -0.15256214395302953, 0.05108411278694418, 0.328364386799864, -0.319810815961819, -0.31062349516760884, 0.11401677504621349, -0.19913615116649527, -0.21447165974965882, 0.22944954648338908, -0.07154487298126488, 0.06768920329468162, -0.012258963859421294, -0.024005979949595944, -0.04741146643146023, -0.16952408846442732, 0.34816489196163697, 0.04112343560285466, 0.28926810210308174, 0.04077429509402922, 0.11970103537857582, -0.021623379948170818, -0.028219316714136994, 0.06256293255410739, -0.11140227362735435, 0.13344034149886527, 0.27005467576478415, 0.08985680211632319, 0.2873419650155276, -0.441873279556432, -0.2610766536528057, 0.07172338346381915, 0.15176049008771728, 0.09860724085963787, -0.041483051656614894, -0.2784708100667961, 0.07774149825883991, -0.12144155751901285, -0.12618378438868078, -0.08999508500861741, -0.0036474169019434675, -0.01089638217677356, -0.21828202530468233, 0.07870460541031304, 0.08976943331423697, 0.06893293515172781, -0.04093616630494495, -0.07875821685681007, 0.009429614403403846, 0.13024290219018073, 0.052910916803360936, -0.021559491758852033, 0.12289757575002193, -0.12698421842456115, -0.14408039044738816, 0.40627709121112054, 0.02661746800970911, -0.17764512466848045, 0.22699938277751458, -0.09331662138617729, -0.14288739662698702, 0.09837038862251758, 0.2003181757836684, 0.11678617693727598, -0.15359087554416026, 0.03312926589989497, 0.002423264237820802, 0.15343456253278126, 0.04528971901475983, 0.02753320796377707, 0.23109825321429428, 0.2439438587667158, 0.024033368388565894, 0.14772448272697453, -0.06318441538090173, -0.14016262999963916, -0.28324895170157866, -0.09564629940928629, -0.11231408013505924, 0.006925129925444622, -0.056198777011540975, -0.15389421962876648, 0.4103832859101087, 0.19048226554721795, 0.22485362919322496, -0.005358900675618858, 0.3149166091926546, 0.07890662803602148, 0.035092997686599924, 0.05251612539571904, 0.2528754331877818, 0.10688709291541987, 0.11029338336005907, -0.2112354740794223, 0.11355078347096056, 0.02025094783473088] |
710.1645 | Derived equivalences of K3 surfaces and orientation | Every Fourier--Mukai equivalence between the derived categories of two K3
surfaces induces a Hodge isometry of their cohomologies viewed as Hodge
structures of weight two endowed with the Mukai pairing. We prove that this
Hodge isometry preserves the natural orientation of the four positive
directions. This leads to a complete description of the action of the group of
all autoequivalences on cohomology very much like the classical Torelli theorem
for K3 surfaces determining all Hodge isometries that are induced by
automorphisms.
| math.AG math.CT | every fouriermukai equivalence between the derived categories of two k3 surfaces induces a hodge isometry of their cohomologies viewed as hodge structures of weight two endowed with the mukai pairing we prove that this hodge isometry preserves the natural orientation of the four positive directions this leads to a complete description of the action of the group of all autoequivalences on cohomology very much like the classical torelli theorem for k3 surfaces determining all hodge isometries that are induced by automorphisms | [['every', 'fouriermukai', 'equivalence', 'between', 'the', 'derived', 'categories', 'of', 'two', 'k3', 'surfaces', 'induces', 'a', 'hodge', 'isometry', 'of', 'their', 'cohomologies', 'viewed', 'as', 'hodge', 'structures', 'of', 'weight', 'two', 'endowed', 'with', 'the', 'mukai', 'pairing', 'we', 'prove', 'that', 'this', 'hodge', 'isometry', 'preserves', 'the', 'natural', 'orientation', 'of', 'the', 'four', 'positive', 'directions', 'this', 'leads', 'to', 'a', 'complete', 'description', 'of', 'the', 'action', 'of', 'the', 'group', 'of', 'all', 'autoequivalences', 'on', 'cohomology', 'very', 'much', 'like', 'the', 'classical', 'torelli', 'theorem', 'for', 'k3', 'surfaces', 'determining', 'all', 'hodge', 'isometries', 'that', 'are', 'induced', 'by', 'automorphisms']] | [-0.2439550499972186, 0.10634669778368401, -0.12553550957207693, 0.11821239870214076, -0.11900668863758997, -0.14726629798634, -0.04319951484801915, 0.34970367377922856, -0.37720206615020646, -0.22696345217847896, 0.06820283882049728, -0.21977738207378597, -0.16249566165195709, 0.17122874407020086, -0.2007609644881737, -0.07431614347216156, 0.05090368065560333, 0.11567096352393244, -0.1311973178540759, -0.2952195278564353, 0.4790516421198845, -0.05230389642931613, 0.28541661493687165, 0.05695875515632423, 0.11979363888594104, 0.0232562434307679, 0.00029810849738157825, -0.08585463261898653, -0.10425851195795537, 0.1900379177596834, 0.32578665022105896, 0.012172350519118302, 0.11474489808703463, -0.40131812207336126, -0.13566398221631476, 0.21022721663560073, 0.04218166857888853, 0.024013952127899283, -0.028205387350344273, -0.2741702916675512, 0.07190629224764344, -0.10207750917883751, -0.15743640110609525, -0.10227616020351832, 0.04600778865961381, -0.016031782723457358, -0.13625052069417304, -0.010944646510100107, 0.13847306790692662, 0.14654491056492666, -0.1320608156894184, -0.09841296817233533, -0.18853027462085456, 0.07999943277833087, 0.04767215999280229, 0.041445658319445765, 0.09525536183471918, -0.10671649659972315, -0.13270464063518578, 0.41116233742623415, -0.07587926575114927, -0.20407017936677108, 0.1109377558797276, -0.14664560964009093, -0.20044706999841663, 0.11824214204363985, 0.01176781015884545, 0.21165326267860277, 0.03974997590261477, 0.16719474472151494, -0.1485226985619024, 0.04935808857488963, 0.18140177111957728, 0.01341342967417505, 0.12929376817802773, 0.07256781506455606, 0.11203208995730053, 0.13522513499368488, -0.01406041055308356, -0.04685493126902499, -0.38223567148555576, -0.21532940501232206, -0.07350878593695845, 0.19353074591641348, -0.15104385954040436, -0.17792434751251598, 0.4260607709027367, 0.006418430967181691, 0.1948553758190462, 0.1545012399761213, 0.1880853532778996, -0.03104148197338491, 0.09145746139499049, 0.005942333340184924, 0.13277662492265213, 0.2890059528786137, -0.12029449899255494, -0.16768533335193808, -0.051467625810520404, 0.272025339535357] |
710.1646 | AMIGA, Auger Muons and Infill for the Ground Array | The Pierre Auger Observatory is planned to be upgraded so that the energy
spectrum of cosmic rays can be studied down to 0.1 EeV and the muon component
of showers can be determined. The former will lead to a spectrum measured by
one technique from 0.1 EeV to beyond 100 EeV while the latter will aid
identification of the primary particles. These enhancements consist of three
high elevation telescopes (HEAT) and an infilled area having both surface
detectors and underground muon counters (AMIGA). The surface array of the Auger
Observatory will be enhanced over a 23.5 km2 area by 85 detector pairs laid out
as a graded array of water-Cherenkov detectors and 30 m2 buried muon
scintillator counters. The spacings in the array will be 433 and 750 m. The
muon detectors will comprise highly segmented scintillators with optical fibres
ending on multi-anode phototubes. The AMIGA complex will be centred 6.0 km away
from the fluorescence detector installation at Coihueco and will be overlooked
by the HEAT telescopes. We describe the design features of the AMIGA
enhancement.
| astro-ph | the pierre auger observatory is planned to be upgraded so that the energy spectrum of cosmic rays can be studied down to 01 eev and the muon component of showers can be determined the former will lead to a spectrum measured by one technique from 01 eev to beyond 100 eev while the latter will aid identification of the primary particles these enhancements consist of three high elevation telescopes heat and an infilled area having both surface detectors and underground muon counters amiga the surface array of the auger observatory will be enhanced over a 235 km2 area by 85 detector pairs laid out as a graded array of watercherenkov detectors and 30 m2 buried muon scintillator counters the spacings in the array will be 433 and 750 m the muon detectors will comprise highly segmented scintillators with optical fibres ending on multianode phototubes the amiga complex will be centred 60 km away from the fluorescence detector installation at coihueco and will be overlooked by the heat telescopes we describe the design features of the amiga enhancement | [['the', 'pierre', 'auger', 'observatory', 'is', 'planned', 'to', 'be', 'upgraded', 'so', 'that', 'the', 'energy', 'spectrum', 'of', 'cosmic', 'rays', 'can', 'be', 'studied', 'down', 'to', '01', 'eev', 'and', 'the', 'muon', 'component', 'of', 'showers', 'can', 'be', 'determined', 'the', 'former', 'will', 'lead', 'to', 'a', 'spectrum', 'measured', 'by', 'one', 'technique', 'from', '01', 'eev', 'to', 'beyond', '100', 'eev', 'while', 'the', 'latter', 'will', 'aid', 'identification', 'of', 'the', 'primary', 'particles', 'these', 'enhancements', 'consist', 'of', 'three', 'high', 'elevation', 'telescopes', 'heat', 'and', 'an', 'infilled', 'area', 'having', 'both', 'surface', 'detectors', 'and', 'underground', 'muon', 'counters', 'amiga', 'the', 'surface', 'array', 'of', 'the', 'auger', 'observatory', 'will', 'be', 'enhanced', 'over', 'a', '235', 'km2', 'area', 'by', '85', 'detector', 'pairs', 'laid', 'out', 'as', 'a', 'graded', 'array', 'of', 'watercherenkov', 'detectors', 'and', '30', 'm2', 'buried', 'muon', 'scintillator', 'counters', 'the', 'spacings', 'in', 'the', 'array', 'will', 'be', '433', 'and', '750', 'm', 'the', 'muon', 'detectors', 'will', 'comprise', 'highly', 'segmented', 'scintillators', 'with', 'optical', 'fibres', 'ending', 'on', 'multianode', 'phototubes', 'the', 'amiga', 'complex', 'will', 'be', 'centred', '60', 'km', 'away', 'from', 'the', 'fluorescence', 'detector', 'installation', 'at', 'coihueco', 'and', 'will', 'be', 'overlooked', 'by', 'the', 'heat', 'telescopes', 'we', 'describe', 'the', 'design', 'features', 'of', 'the', 'amiga', 'enhancement']] | [-0.07087280113377016, 0.2507865271837462, -0.009846195406597954, 0.076908336741822, -0.03298613666001157, -0.09971541724834507, -0.04431160308939235, 0.39441026137104596, -0.1875557065597439, -0.3972689584426751, 0.11824993003326446, -0.41486654548101465, 0.013068299798760563, 0.24534758619715416, 0.004937805801587688, -0.0038504159707703034, 0.12365179039889798, -0.04969517184045716, -0.0452793286253423, -0.2099945463452803, 0.16933538249048236, 0.24219355258074673, 0.2541166237100366, 0.06807796351495199, 0.13450450216557577, -0.052346194827061314, -0.0560059332995231, -0.025222249256330542, -0.060547619204995004, 0.07581050450211148, 0.3407175288196992, 0.1039204745082481, 0.10231131133729253, -0.41892652086839505, -0.142315255202861, 0.09925214817402858, 0.12234941732524683, -0.04890446621919347, 0.00042445382066282696, -0.3372090038928119, 0.09193837057285816, -0.18035545476447046, -0.17421059810955988, 0.08698146160035818, -0.08349143085863696, 0.04898247551549999, -0.17854295597565148, -0.06786416724207811, -0.010064101574243978, 0.053670374105091796, -0.014970949660478667, -0.1836533636457964, 0.046280699538659646, 0.07087580518617126, 0.022160096655914622, 0.059373380900069606, 0.21577424177137966, -0.08924052515629394, -0.06529010685732249, 0.3069013903044503, -0.06585339190695033, -0.09133638810362754, 0.14431778735756365, -0.2356291952415962, -0.08465587930880826, 0.2764600891175426, 0.18629096572608847, 0.05372981279453432, -0.22689507105281914, 0.0430323237001589, 0.01509389651751421, 0.21652228869391943, 0.11322883530837399, 0.01353521359057843, 0.3037535182017812, 0.22982323492430046, 0.15368428315162996, 0.08281369759788504, -0.2825376462781357, 0.08307910775130783, -0.2986545882204981, -0.16930554890528915, -0.1360246212557699, 0.11797569959096356, -0.013148259741435388, -0.08047904480641095, 0.38031185445883736, 0.07782084083142267, 0.12934298302173952, -0.036188936505244455, 0.27713012087307026, -0.012880642801147505, 0.14368810749676247, 0.005837484843637371, 0.31039000633807684, 0.11373811059192204, 0.13734222146277633, -0.1711070809396915, -0.010971145998072725, 0.00533460307368924] |
710.1647 | B_s decays at Belle | We report recent results obtained with the Belle detector using a 23.6
fb^{-1} data sample collected on the Y(5S) resonance at the KEKB asymmetric
energy e^+ e^- collider. Inclusive semileptonic B_s^0 -> X^+ l^- \nu decays are
studied for the first time and the branching fraction is measured. Combining
the electron and muon channels, we obtain Bf(B_s^0 -> X^+ l^- \nu) = (10.2 \pm
0.8 \pm 0.9)%. Also, the radiative penguin decay B_s^0 -> \phi \gamma is
observed for the first time, and an improved upper limit for the decay B_s^0
\to \gamma \gamma is obtained.
| hep-ex | we report recent results obtained with the belle detector using a 236 fb1 data sample collected on the y5s resonance at the kekb asymmetric energy e e collider inclusive semileptonic b_s0 x l nu decays are studied for the first time and the branching fraction is measured combining the electron and muon channels we obtain bfb_s0 x l nu 102 pm 08 pm 09 also the radiative penguin decay b_s0 phi gamma is observed for the first time and an improved upper limit for the decay b_s0 to gamma gamma is obtained | [['we', 'report', 'recent', 'results', 'obtained', 'with', 'the', 'belle', 'detector', 'using', 'a', '236', 'fb1', 'data', 'sample', 'collected', 'on', 'the', 'y5s', 'resonance', 'at', 'the', 'kekb', 'asymmetric', 'energy', 'e', 'e', 'collider', 'inclusive', 'semileptonic', 'b_s0', 'x', 'l', 'nu', 'decays', 'are', 'studied', 'for', 'the', 'first', 'time', 'and', 'the', 'branching', 'fraction', 'is', 'measured', 'combining', 'the', 'electron', 'and', 'muon', 'channels', 'we', 'obtain', 'bfb_s0', 'x', 'l', 'nu', '102', 'pm', '08', 'pm', '09', 'also', 'the', 'radiative', 'penguin', 'decay', 'b_s0', 'phi', 'gamma', 'is', 'observed', 'for', 'the', 'first', 'time', 'and', 'an', 'improved', 'upper', 'limit', 'for', 'the', 'decay', 'b_s0', 'to', 'gamma', 'gamma', 'is', 'obtained']] | [-0.09592251820583403, 0.22880190588251065, -0.04941470237226104, 0.08557717264604593, -0.04639379646750572, -0.14590453222373742, 0.10891697935015976, 0.30068886131250666, -0.17938703266174896, -0.2707307473756373, -0.035442371614803764, -0.44141692105356767, 0.11442135726911543, 0.2130694924069204, 0.13296054573932095, 0.14406871358843762, 0.14474004817843114, -0.005005460131265547, -0.04918816831448804, -0.17851000912386275, 0.1559560265108619, 0.0634601182486538, 0.21878296433968228, 0.06931707192131359, 0.008945098124019316, -0.024595999352522598, -0.0866139347401812, -0.13182178171068107, -0.27735884267325595, -0.000869976771671487, 0.1985219595422361, 0.07678432541939875, 0.08677822187461931, -0.27993671245246293, 0.04150744312463085, 0.19012125026252444, 0.16144786114581738, -0.06629729011784428, -0.03259377051954684, -0.41292008180576173, 0.16323202368094708, -0.17085707207392578, -0.05129859821476123, 0.019136327106262677, 0.11329153340066904, -0.13360622469538255, -0.4026160224381348, 0.11947127061854268, -0.07916888988414861, 0.06082182196089137, -0.012961527383278893, -0.31607191094561765, 0.015990328139868445, -0.044087823536044554, 0.06669098730249655, 0.14396297705420497, 0.20536034121987937, -0.03348107557014927, -0.19328142905294005, 0.31688765793249174, -0.10238936087499377, -0.10255973528989631, 0.09583949957690809, -0.27962110184497485, -0.11991004552628906, 0.23851086242812808, 0.2575310945774064, 0.04115021665094663, -0.19067281125234845, 0.17448284181211973, -0.013647989698295967, 0.1884916610610874, 0.06500112422762196, 0.058683270532840295, 0.09779875697163136, 0.2154447494350556, -0.008423627115679783, 0.032154686061878, -0.20491128579116144, 0.0704652292896872, -0.42813984486881806, -0.11388527718372643, -0.08766233127908377, 0.1735920358763036, -0.01874481036239835, 0.01651418276394353, 0.31522421356614516, -0.02676488221977311, 0.338795919659669, 0.05428139481480922, 0.2660642551744114, 0.14673648682377383, -0.039099250680642995, 0.08298599655514093, 0.2997064830370895, 0.20344945454322125, 0.18838009345927276, -0.312315245457601, 0.004992411452922565, -0.0013939839605565953] |
710.1648 | A Search for Pulsed and Bursty Radio Emission from X-ray Dim Isolated
Neutron Stars | We have carried out a search for radio emission from six X-ray dim isolated
neutron stars (XDINSs) observed with the Robert C. Byrd Green Bank Radio
Telescope (GBT) at 820 MHz. No bursty or pulsed radio emission was found down
to a 4sigma significance level. The corresponding flux limit is 0.01-0.04 mJy
depending on the integration time for the particular source and pulse duty
cycle of 2%. These are the most sensitive limits yet on radio emission from
these objects.
| astro-ph | we have carried out a search for radio emission from six xray dim isolated neutron stars xdinss observed with the robert c byrd green bank radio telescope gbt at 820 mhz no bursty or pulsed radio emission was found down to a 4sigma significance level the corresponding flux limit is 001004 mjy depending on the integration time for the particular source and pulse duty cycle of 2 these are the most sensitive limits yet on radio emission from these objects | [['we', 'have', 'carried', 'out', 'a', 'search', 'for', 'radio', 'emission', 'from', 'six', 'xray', 'dim', 'isolated', 'neutron', 'stars', 'xdinss', 'observed', 'with', 'the', 'robert', 'c', 'byrd', 'green', 'bank', 'radio', 'telescope', 'gbt', 'at', '820', 'mhz', 'no', 'bursty', 'or', 'pulsed', 'radio', 'emission', 'was', 'found', 'down', 'to', 'a', '4sigma', 'significance', 'level', 'the', 'corresponding', 'flux', 'limit', 'is', '001004', 'mjy', 'depending', 'on', 'the', 'integration', 'time', 'for', 'the', 'particular', 'source', 'and', 'pulse', 'duty', 'cycle', 'of', '2', 'these', 'are', 'the', 'most', 'sensitive', 'limits', 'yet', 'on', 'radio', 'emission', 'from', 'these', 'objects']] | [-0.10169811937375925, 0.09147364229283994, 0.001331790053518489, 0.1235671131129493, -0.11422776870604139, -0.10887469657463952, 0.1441515078098746, 0.5010739201912656, -0.0880910001535085, -0.33877519990783184, 0.1368580253680193, -0.3043494439480128, -0.0156785657745786, 0.27492580604157413, 0.0530261891282862, -0.05513784207141725, 0.05403455962514272, -0.09073170695919544, 0.014390565420035273, -0.15421267760830232, 0.22785168238333425, 0.13176303960208316, 0.23052516886964441, -0.009964029770344496, 0.08757308516069315, -0.12538101183599792, -0.10324351468589157, -0.07419741667690687, -0.02572724762139842, -0.00377323500579223, 0.2645029494771734, 0.11618310488993303, 0.1450869550812058, -0.37286081708734853, -0.17926448887737934, 0.10234895525500179, 0.11220141769736074, -0.019600156750311726, -0.0009297821292420849, -0.3137971153715625, 0.10692098622093908, -0.17229713294655086, -0.16336907316581345, 0.13831021359656007, 0.08225707528181374, 0.07530050676432438, -0.14887798426207155, 0.05808460177649977, -0.054345821221068034, 0.09367647269973531, -0.08159756636014208, -0.13795553711242975, -0.02777950235613389, 0.06276410392310935, -0.02608121759549249, 0.11180285198533965, 0.19272300636512227, -0.09353519834403415, -0.09482160829938949, 0.32448525440413506, -0.07662064265605295, 0.02480457553756423, 0.22258451659290585, -0.25497150713927114, -0.27874236716306766, 0.25550936761137566, 0.11138164702861104, 0.10133460499200737, -0.17599858007160946, 0.030350004537467612, 0.01513270526775159, 0.2938372238422744, 0.17269881703541615, 0.07432202649506507, 0.3219219470396638, 0.11875207566044992, 0.031910921115195376, 0.11610085291904397, -0.3294916265178472, 0.047636204631999135, -0.22483086416614242, -0.036465064145158974, -0.12826424098166173, 0.20984019313764293, -0.06221562787522998, -0.07069958315114491, 0.38040812252438627, 0.05747326638083905, 0.09027226691832765, 0.10770402144116815, 0.2836037989218312, 0.14835239435196854, 0.08724889682780486, 0.13446684025111608, 0.32208959783311003, 0.1428454261418665, 0.15572532082442195, -0.1840760132065043, 0.0019491899583954364, -0.04189458775799722] |
710.1649 | Vacuum Expectation Values of Twisted Mass Fermion Operators | Using noise methods on a quenched $20^3 \times 32$ lattice at $\beta=6.0$, we
have investigated vacuum expectation values and relative linear correlations
among the various Wilson and twisted mass scalar and pseudoscalar disconnected
loop operators. We show results near the maximal twist lines in $\kappa$, $\mu$
parameter space, either defined as the absence of parity mixing or the
vanishing of the PCAC quark mass.
| hep-lat | using noise methods on a quenched 203 times 32 lattice at beta60 we have investigated vacuum expectation values and relative linear correlations among the various wilson and twisted mass scalar and pseudoscalar disconnected loop operators we show results near the maximal twist lines in kappa mu parameter space either defined as the absence of parity mixing or the vanishing of the pcac quark mass | [['using', 'noise', 'methods', 'on', 'a', 'quenched', '203', 'times', '32', 'lattice', 'at', 'beta60', 'we', 'have', 'investigated', 'vacuum', 'expectation', 'values', 'and', 'relative', 'linear', 'correlations', 'among', 'the', 'various', 'wilson', 'and', 'twisted', 'mass', 'scalar', 'and', 'pseudoscalar', 'disconnected', 'loop', 'operators', 'we', 'show', 'results', 'near', 'the', 'maximal', 'twist', 'lines', 'in', 'kappa', 'mu', 'parameter', 'space', 'either', 'defined', 'as', 'the', 'absence', 'of', 'parity', 'mixing', 'or', 'the', 'vanishing', 'of', 'the', 'pcac', 'quark', 'mass']] | [-0.16912832780508325, 0.2848014781848178, 0.014320108832180267, 0.11122070344572421, 0.005994300703605404, -0.11881971176626394, 0.09198285204911372, 0.3694506054162048, -0.15075956931286782, -0.2503362853603903, 0.09178733311091491, -0.28414810744288843, -0.019295031310321065, 0.1158388611911505, 0.04935644007969131, 0.08955099096624508, 0.02063601283407479, 0.060532251140102744, -0.15053488560806727, -0.20760123297804967, 0.38157269786825054, -0.026391974097350612, 0.2526670237566577, 0.1145308493214543, 0.0695201928683673, 0.00014684841153211892, -0.05100746465177508, 0.006295104066794011, -0.12959667521499796, 0.03282316724471457, 0.11108612098814774, -0.011374770496331621, 0.1430618329131903, -0.3233502094517462, -0.13673995236604242, 0.16625864896923304, 0.11687133123996318, 0.03852849908435019, 0.020732524657432805, -0.29337394596950617, 0.06968641244748142, -0.16909742182178888, -0.17054448610724648, -0.09610879646788817, -0.001124752168834675, -0.07530297225457616, -0.3329019015072845, 0.10576449761720141, -0.02999067401412958, 0.10034283202548977, -0.047774605634913314, -0.23751912152511068, -0.10616142947583285, 0.06975808633069391, 0.10471498215156316, 0.053029146306471375, 0.16828107789478963, -0.1568141477619065, -0.14986594108449935, 0.3240210295189172, -0.15957441726641264, -0.21157753037914517, 0.11776729970006272, -0.20376297312031966, -0.13628713567959494, 0.10769626473336302, 0.13546039634820772, 0.09486281761928694, -0.10713648064120207, 0.14069386814389873, -0.059387354740465526, 0.13908585894387215, 0.14196429299772717, 0.06269712932771654, 0.2178670040666475, 0.04606092188623734, 0.03966566373492242, 0.0705225548672388, -0.08260601989968563, -0.13545300351688638, -0.3513931348279584, -0.10681142970861401, -0.12258023813774344, 0.10140120925279916, -0.1513704679739476, -0.14662563209276414, 0.3407630404617521, 0.08932702840684215, 0.25348149635101436, 0.035234745431807823, 0.25634747081494424, 0.1343447191593441, 0.11479240143671632, 0.08780113614920992, 0.23913012132106815, 0.21088597155176103, 0.10310486213438708, -0.29714188298385125, -0.05916654427710455, 0.12335830039228313] |
710.165 | Lens Galaxy Properties of SBS1520+530: Insights from Keck Spectroscopy
and AO Imaging | We report on an investigation of the SBS 1520+530 gravitational lens system
and its environment using archival HST imaging, Keck spectroscopic data, and
Keck adaptive-optics imaging. The AO imaging has allowed us to fix the lens
galaxy properties with a high degree of precision when performing the lens
modeling, and the data indicate that the lens has an elliptical morphology and
perhaps a disk. The new spectroscopic data suggest that previous determinations
of the lens redshift may be incorrect, and we report an updated, though
inconclusive, value z_lens = 0.761. We have also spectroscopically confirmed
the existence of several galaxy groups at approximately the redshift of the
lens system. We create new models of the lens system that explicitly account
for the environment of the lens, and we also include improved constraints on
the lensing galaxy from our adaptive-optics imaging. Lens models created with
these new data can be well-fit with a steeper than isothermal mass slope (alpha
= 2.29, with the density proportional to r^-alpha) if H_0 is fixed at 72
km/s/Mpc; isothermal models require H_0 ~ 50 km/s/Mpc. The steepened profile
may indicate that the lens is in a transient perturbed state caused by
interactions with a nearby galaxy.
| astro-ph | we report on an investigation of the sbs 1520530 gravitational lens system and its environment using archival hst imaging keck spectroscopic data and keck adaptiveoptics imaging the ao imaging has allowed us to fix the lens galaxy properties with a high degree of precision when performing the lens modeling and the data indicate that the lens has an elliptical morphology and perhaps a disk the new spectroscopic data suggest that previous determinations of the lens redshift may be incorrect and we report an updated though inconclusive value z_lens 0761 we have also spectroscopically confirmed the existence of several galaxy groups at approximately the redshift of the lens system we create new models of the lens system that explicitly account for the environment of the lens and we also include improved constraints on the lensing galaxy from our adaptiveoptics imaging lens models created with these new data can be wellfit with a steeper than isothermal mass slope alpha 229 with the density proportional to ralpha if h_0 is fixed at 72 kmsmpc isothermal models require h_0 50 kmsmpc the steepened profile may indicate that the lens is in a transient perturbed state caused by interactions with a nearby galaxy | [['we', 'report', 'on', 'an', 'investigation', 'of', 'the', 'sbs', '1520530', 'gravitational', 'lens', 'system', 'and', 'its', 'environment', 'using', 'archival', 'hst', 'imaging', 'keck', 'spectroscopic', 'data', 'and', 'keck', 'adaptiveoptics', 'imaging', 'the', 'ao', 'imaging', 'has', 'allowed', 'us', 'to', 'fix', 'the', 'lens', 'galaxy', 'properties', 'with', 'a', 'high', 'degree', 'of', 'precision', 'when', 'performing', 'the', 'lens', 'modeling', 'and', 'the', 'data', 'indicate', 'that', 'the', 'lens', 'has', 'an', 'elliptical', 'morphology', 'and', 'perhaps', 'a', 'disk', 'the', 'new', 'spectroscopic', 'data', 'suggest', 'that', 'previous', 'determinations', 'of', 'the', 'lens', 'redshift', 'may', 'be', 'incorrect', 'and', 'we', 'report', 'an', 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'by', 'interactions', 'with', 'a', 'nearby', 'galaxy']] | [-0.08324616042785417, 0.04607323417166747, -0.12420530452866929, 0.01229143262306597, -0.13798529274766405, -0.13126549105807608, 0.015534514064905304, 0.41484648179319605, -0.15891988771650845, -0.37176171722490964, 0.08852487243771043, -0.309525951762036, -0.0657868498113706, 0.23423092120189956, -0.014093451920499656, 0.020278925132561892, 0.11010903896773376, -0.08165773701958055, -0.05749405387698597, -0.28297099777613177, 0.31658178880375804, 0.11238972321247237, 0.16575478794653592, -0.045621365792151106, 0.10680208983121979, -0.0004217603301799615, -0.09488068026759978, 0.02157822602338673, -0.19461510343040425, 0.038692852831445634, 0.18691638418070208, 0.12785978587938185, 0.21527029709124626, -0.308459779323282, -0.21903153211776602, 0.06938782953633572, 0.17805280121927372, 0.06600889409915899, -0.08485801211265176, -0.3370860941036779, 0.05442624731163073, -0.16086911617225416, -0.16981600203934283, 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0.06084046443820302, 0.31147646784385297, 0.07755379649091909, 0.11691673308242169, 0.04048986566078088, 0.3525779210787437, 0.12114562576064641, 0.07130167480330053, -0.21426509899739649, 0.03824305777121241, -0.03742572021207342] |
710.1651 | The Environments of SLACS Gravitational Lenses | We report on an investigation of the environments of the SLACS sample of
gravitational lenses. The local and global environments of the lenses are
characterized using SDSS photometry and, when available, spectroscopy. We find
that the lens systems that are best modelled with steeper than isothermal
density profiles are more likely to have close companions than lenses with
shallower than isothermal profiles. This suggests that the profile steepening
may be caused by interactions with a companion galaxy as indicated by N-body
simulations of group galaxies. The global environments of the SLACS lenses are
typical of non-lensing SDSS galaxies with comparable properties to the lenses,
and the richnesses of the lens groups are not as strongly correlated with the
lens density profiles as the local environments. Furthermore, we investigate
the possibility of line-of-sight contamination affecting the lens models but do
not find a significant over-density of sources compared to lines of sight
without lenses.
| astro-ph | we report on an investigation of the environments of the slacs sample of gravitational lenses the local and global environments of the lenses are characterized using sdss photometry and when available spectroscopy we find that the lens systems that are best modelled with steeper than isothermal density profiles are more likely to have close companions than lenses with shallower than isothermal profiles this suggests that the profile steepening may be caused by interactions with a companion galaxy as indicated by nbody simulations of group galaxies the global environments of the slacs lenses are typical of nonlensing sdss galaxies with comparable properties to the lenses and the richnesses of the lens groups are not as strongly correlated with the lens density profiles as the local environments furthermore we investigate the possibility of lineofsight contamination affecting the lens models but do not find a significant overdensity of sources compared to lines of sight without lenses | [['we', 'report', 'on', 'an', 'investigation', 'of', 'the', 'environments', 'of', 'the', 'slacs', 'sample', 'of', 'gravitational', 'lenses', 'the', 'local', 'and', 'global', 'environments', 'of', 'the', 'lenses', 'are', 'characterized', 'using', 'sdss', 'photometry', 'and', 'when', 'available', 'spectroscopy', 'we', 'find', 'that', 'the', 'lens', 'systems', 'that', 'are', 'best', 'modelled', 'with', 'steeper', 'than', 'isothermal', 'density', 'profiles', 'are', 'more', 'likely', 'to', 'have', 'close', 'companions', 'than', 'lenses', 'with', 'shallower', 'than', 'isothermal', 'profiles', 'this', 'suggests', 'that', 'the', 'profile', 'steepening', 'may', 'be', 'caused', 'by', 'interactions', 'with', 'a', 'companion', 'galaxy', 'as', 'indicated', 'by', 'nbody', 'simulations', 'of', 'group', 'galaxies', 'the', 'global', 'environments', 'of', 'the', 'slacs', 'lenses', 'are', 'typical', 'of', 'nonlensing', 'sdss', 'galaxies', 'with', 'comparable', 'properties', 'to', 'the', 'lenses', 'and', 'the', 'richnesses', 'of', 'the', 'lens', 'groups', 'are', 'not', 'as', 'strongly', 'correlated', 'with', 'the', 'lens', 'density', 'profiles', 'as', 'the', 'local', 'environments', 'furthermore', 'we', 'investigate', 'the', 'possibility', 'of', 'lineofsight', 'contamination', 'affecting', 'the', 'lens', 'models', 'but', 'do', 'not', 'find', 'a', 'significant', 'overdensity', 'of', 'sources', 'compared', 'to', 'lines', 'of', 'sight', 'without', 'lenses']] | [-0.09914044498426389, 0.04401365234115195, -0.0926005366654744, 0.08185419410671065, -0.09188308001319373, -0.06383835059724553, -0.008472567585485629, 0.4395401666756549, -0.11035772470842584, -0.39120114111384147, 0.046280408862466905, -0.3353882644483759, -0.09758483444864016, 0.22378795733447096, -0.005613930867315313, 0.0018044713750676393, 0.039074083504090515, -0.11283722673877587, -0.09455788258563581, -0.2921179930962549, 0.35900930335952175, 0.07452063475966794, 0.1833117286875552, -0.08362826573498108, 0.03973457096692394, -0.043238865412479524, -0.08745790329865283, 0.08038429562093727, -0.13026766336192583, 0.022036448455860023, 0.20534643621497892, 0.09054764409799104, 0.20695843226185032, -0.349249963368374, -0.24789017208188383, 0.0994071256661532, 0.20415101837963354, 0.08408286949631825, -0.09394202798460778, -0.3300787583602215, 0.1206421619463785, -0.15322759748722603, -0.17804560372362438, 0.04280678264711515, -0.011258534606229635, 0.13079405059806662, -0.19097196650265236, 0.17056642056388013, 0.007443786248735158, 0.11057838459127868, -0.11058581786631953, -0.09002120894215562, -0.06325259850987422, 0.0607057396001776, -0.002115337585945145, 0.02652222503378403, 0.21897390950775517, -0.18335556120800425, -0.015621843300394568, 0.46709172812357447, -0.05752078857068566, -0.07897469418859901, 0.24518681765576594, -0.19830937292183343, -0.10763797209312032, 0.11119175841118775, 0.1772441237562281, 0.10225818641301171, -0.13119799856697986, -0.03411514900458879, -0.026622454503405037, 0.2613460037832946, 0.03488273896106513, 0.034541338180086055, 0.30661704432633186, 0.0581925818163999, 0.10339203130717661, 0.0928557220632606, -0.1734345172451249, 0.013971919090383582, -0.21521354525112638, -0.07698286760574073, -0.13341193088920775, 0.05841411446739335, -0.11601427314604033, -0.16148899430584077, 0.3034601247887693, 0.13142618961598773, 0.19645869219371306, 0.10096575221004196, 0.32499056243721175, 0.08700903054491124, 0.15401299367202262, 0.06465322270325927, 0.3457056611070251, 0.14512861646967484, 0.03299625048389524, -0.1818065147822589, 0.07474542542792906, -0.05422164005793485] |
710.1652 | Optical properties of metal nanoparticles with no center of inversion
symmetry: observation of volume plasmons | We present theoretical and experimental studies of the optical response of
L-shaped silver nanoparticles. The scattering spectrum exhibits several plasmon
resonances that depend sensitively on the polarization of the incident
electromagnetic field. The physical origin of the resonances is traced to
different plasmon phenomena. In particular, a high energy band with unusual
properties is interpreted in terms of volume plasmon oscillations arising from
the asymmetry of a nanoparticle.
| physics.optics cond-mat.mtrl-sci | we present theoretical and experimental studies of the optical response of lshaped silver nanoparticles the scattering spectrum exhibits several plasmon resonances that depend sensitively on the polarization of the incident electromagnetic field the physical origin of the resonances is traced to different plasmon phenomena in particular a high energy band with unusual properties is interpreted in terms of volume plasmon oscillations arising from the asymmetry of a nanoparticle | [['we', 'present', 'theoretical', 'and', 'experimental', 'studies', 'of', 'the', 'optical', 'response', 'of', 'lshaped', 'silver', 'nanoparticles', 'the', 'scattering', 'spectrum', 'exhibits', 'several', 'plasmon', 'resonances', 'that', 'depend', 'sensitively', 'on', 'the', 'polarization', 'of', 'the', 'incident', 'electromagnetic', 'field', 'the', 'physical', 'origin', 'of', 'the', 'resonances', 'is', 'traced', 'to', 'different', 'plasmon', 'phenomena', 'in', 'particular', 'a', 'high', 'energy', 'band', 'with', 'unusual', 'properties', 'is', 'interpreted', 'in', 'terms', 'of', 'volume', 'plasmon', 'oscillations', 'arising', 'from', 'the', 'asymmetry', 'of', 'a', 'nanoparticle']] | [-0.17316687302253045, 0.1776034530964406, -0.09433723440366414, 0.03226666432216435, -0.08054189997560837, -0.058095645912758564, 0.023555716893443948, 0.3955108648549546, -0.2128254415549557, -0.30841575021280304, -0.021826793169191873, -0.33548944229807925, -0.16818494118257044, 0.19629730002078064, 0.030477715964319512, 0.025582461090594092, 0.010495250702232999, -0.0358067691216574, -0.0175879279473413, -0.08369206905584126, 0.29485588389284473, 0.04802560055395588, 0.29514790933086155, 0.16259279970408363, 0.047899918918333506, 0.004836963527315461, 0.06145570083411739, -0.0008354802917250816, -0.13292006768450151, 0.10426691279280931, 0.224940807065543, -0.011888162161031848, 0.1499671677016415, -0.43871110758525045, -0.21038163430057466, 0.03568309241467539, 0.1918780293507392, 0.12366756040137261, -0.09116112618357874, -0.26147167398320403, -0.020258283201495513, -0.04038931596476365, -0.17675084553604178, 0.01585313055308207, -0.01161671697456554, 0.061690431307343876, -0.2166082146577537, 0.09658364696866449, 0.03310565023189958, 0.09878189717967283, -0.0889859976767398, -0.12139219020301585, -0.061772509943693876, 0.05653500426834559, 0.08357921774800428, -0.048462071531342674, 0.22550629252595278, -0.11120961566441967, -0.10761386595721192, 0.4170689455726567, -0.10400366516756442, -0.12459388642352731, 0.1825860183521667, -0.2427001686027164, -0.004962221815196031, 0.23702087116030537, 0.19348118218648083, 0.0938780031796983, -0.08787873618433985, 0.07166384977394688, -0.03150507744730396, 0.16415768347488827, 0.09176983409698176, 0.1730352876954438, 0.2532345556160983, 0.20441931602202684, -0.054991834439159205, 0.15178573506059098, -0.12516389557448052, 0.014275393257027163, -0.28805906618671384, -0.09295539481236655, -0.21382049798472402, 0.04033768556409461, -0.07090314127194955, -0.22854253477143013, 0.494939833331634, 0.09136940096504986, 0.21701717730063727, -0.061737877912545466, 0.2545857527019346, 0.15351614153341336, 0.07907637451802764, -0.023659391742994022, 0.35355830393895943, 0.18786868350306415, 0.09358563033781726, -0.35760942920152206, 0.01827880467616898, -0.06309242269900792] |
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