id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
|---|---|---|---|---|---|---|
710.2653 | A Supersymmetric U(1)' Model with Multiple Dark Matters | We consider a scenario where a supersymmetric model has multiple dark matter
particles. Adding a U(1)' gauge symmetry is a well-motivated extension of the
Minimal Supersymmetric Standard Model (MSSM). It can cure the problems of the
MSSM such as the mu-problem or the proton decay problem with high-dimensional
lepton number and baryon number violating operators which R-parity allows. An
extra parity (U-parity) may arise as a residual discrete symmetry after U(1)'
gauge symmetry is spontaneously broken. The Lightest U-parity Particle (LUP) is
stable under the new parity becoming a new dark matter candidate. Up to three
massive particles can be stable in the presence of the R-parity and the
U-parity. We numerically illustrate that multiple stable particles in our model
can satisfy both constraints from the relic density and the direct detection,
thus providing a specific scenario where a supersymmetric model has
well-motivated multiple dark matters consistent with experimental constraints.
The scenario provides new possibilities in the present and upcoming dark matter
searches in the direct detection and collider experiments.
| hep-ph | we consider a scenario where a supersymmetric model has multiple dark matter particles adding a u1 gauge symmetry is a wellmotivated extension of the minimal supersymmetric standard model mssm it can cure the problems of the mssm such as the muproblem or the proton decay problem with highdimensional lepton number and baryon number violating operators which rparity allows an extra parity uparity may arise as a residual discrete symmetry after u1 gauge symmetry is spontaneously broken the lightest uparity particle lup is stable under the new parity becoming a new dark matter candidate up to three massive particles can be stable in the presence of the rparity and the uparity we numerically illustrate that multiple stable particles in our model can satisfy both constraints from the relic density and the direct detection thus providing a specific scenario where a supersymmetric model has wellmotivated multiple dark matters consistent with experimental constraints the scenario provides new possibilities in the present and upcoming dark matter searches in the direct detection and collider experiments | [['we', 'consider', 'a', 'scenario', 'where', 'a', 'supersymmetric', 'model', 'has', 'multiple', 'dark', 'matter', 'particles', 'adding', 'a', 'u1', 'gauge', 'symmetry', 'is', 'a', 'wellmotivated', 'extension', 'of', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'mssm', 'it', 'can', 'cure', 'the', 'problems', 'of', 'the', 'mssm', 'such', 'as', 'the', 'muproblem', 'or', 'the', 'proton', 'decay', 'problem', 'with', 'highdimensional', 'lepton', 'number', 'and', 'baryon', 'number', 'violating', 'operators', 'which', 'rparity', 'allows', 'an', 'extra', 'parity', 'uparity', 'may', 'arise', 'as', 'a', 'residual', 'discrete', 'symmetry', 'after', 'u1', 'gauge', 'symmetry', 'is', 'spontaneously', 'broken', 'the', 'lightest', 'uparity', 'particle', 'lup', 'is', 'stable', 'under', 'the', 'new', 'parity', 'becoming', 'a', 'new', 'dark', 'matter', 'candidate', 'up', 'to', 'three', 'massive', 'particles', 'can', 'be', 'stable', 'in', 'the', 'presence', 'of', 'the', 'rparity', 'and', 'the', 'uparity', 'we', 'numerically', 'illustrate', 'that', 'multiple', 'stable', 'particles', 'in', 'our', 'model', 'can', 'satisfy', 'both', 'constraints', 'from', 'the', 'relic', 'density', 'and', 'the', 'direct', 'detection', 'thus', 'providing', 'a', 'specific', 'scenario', 'where', 'a', 'supersymmetric', 'model', 'has', 'wellmotivated', 'multiple', 'dark', 'matters', 'consistent', 'with', 'experimental', 'constraints', 'the', 'scenario', 'provides', 'new', 'possibilities', 'in', 'the', 'present', 'and', 'upcoming', 'dark', 'matter', 'searches', 'in', 'the', 'direct', 'detection', 'and', 'collider', 'experiments']] | [-0.14355340833118296, 0.24255405926113086, -0.0693343753926456, 0.15336755903862306, -0.13371335485100966, -0.21780852891936187, 0.0035835159902275976, 0.26547168908394214, -0.21410500186988535, -0.34976126411655806, 0.06343249231303001, -0.25851647875088557, -0.05128811465932385, 0.08593782850143993, 0.019639343372546136, 0.08178333893130697, -0.0012794774737866486, 0.01976261767284835, -0.03410497695098028, -0.23119469431968515, 0.25154206383261174, 0.029200483102570562, 0.204138114586856, 0.06422012031646719, 0.07687279013574452, -0.017316572833806276, -0.005697537662790102, -0.06223885393427575, -0.0739047957237156, 0.06383166430339984, 0.1726789530941888, 0.1224944449687267, 0.13960250856573966, -0.43287219837417495, -0.2349205056314959, 0.24765182964996818, 0.17167908772552276, 0.12672563373891857, -0.13951051823301788, -0.34535359335953697, 0.07398093374144724, -0.2497878705028116, -0.12592597755685667, -0.080499171963482, -0.07266757980208187, -0.1280461660531514, -0.3393648994052509, 0.11330806967007982, -0.052229172762428576, -0.055952830620877005, -0.045694580336224616, -0.08692456469186308, -0.07826726216247634, -0.0419729205136023, 0.17856594405260265, -0.03694486612837543, 0.1573736508972669, -0.21941343472503563, -0.16430719406617916, 0.4723871685564518, -0.08285704610924072, -0.2049895194989136, 0.18918688764576527, -0.07921727480270954, -0.21509983471375616, 0.11341011424220222, 0.1386758826481288, 0.11497110099504318, -0.12626108841641862, 0.2126115149609498, -0.1251558178494794, 0.16475400543936036, 0.02336550298941267, 0.04384121006792959, 0.3472688394215177, 0.2215376869391869, 0.11021828414762722, 0.09151601938133622, -0.09251713550389361, -0.10283036584664575, -0.42450214676278203, -0.14300430047818843, -0.09439104697256184, -0.0008998940325588645, -0.07835553143069025, -0.07034829416147927, 0.3901356491424582, 0.10454778215541463, 0.20084453643409206, 0.033996517693979995, 0.30189946092226927, 0.06974828418220996, 0.07913368002405417, -0.004739888150481206, 0.2623098479282549, 0.09507452403811519, 0.06955724318361128, -0.22884016701102475, -0.045901897152447524, 0.029257865552790464] |
710.2654 | Stellar explosions powered by the Blandford-Znajek mechanism | In this letter we briefly describe the first results of our numerical study
on the possibility of magnetic origin of relativistic jets of long duration
gamma ray bursters within the collapsar scenario. We track the collapse of
massive rotating stars onto a rotating central black hole using axisymmetric
general relativistic magnetohydrodynamic code that utilizes a realistic
equation of state of stellar matter, takes into account the cooling associated
with emission of neutrinos, and the energy losses due to dissociation of
nuclei. The neutrino heating is not included. We describe the solution for one
particular model where the progenitor star has magnetic field $B=10^{10}$G. The
solution exhibits strong explosion driven by the Poynting-dominated jets whose
power exceeds $2\times10^{51} {erg/s}$. The jets originate mainly from the
black hole and they are powered via the Blandford-Znajek mechanism. The full
details of the simulations together with the results of parameter study will be
presented elsewhere. A number of simulation movies can be downloaded from
http://www.maths.leeds.ac.uk/~serguei/research/movies/anim.html
| astro-ph | in this letter we briefly describe the first results of our numerical study on the possibility of magnetic origin of relativistic jets of long duration gamma ray bursters within the collapsar scenario we track the collapse of massive rotating stars onto a rotating central black hole using axisymmetric general relativistic magnetohydrodynamic code that utilizes a realistic equation of state of stellar matter takes into account the cooling associated with emission of neutrinos and the energy losses due to dissociation of nuclei the neutrino heating is not included we describe the solution for one particular model where the progenitor star has magnetic field b1010g the solution exhibits strong explosion driven by the poyntingdominated jets whose power exceeds 2times1051 ergs the jets originate mainly from the black hole and they are powered via the blandfordznajek mechanism the full details of the simulations together with the results of parameter study will be presented elsewhere a number of simulation movies can be downloaded from httpwwwmathsleedsacuksergueiresearchmoviesanimhtml | [['in', 'this', 'letter', 'we', 'briefly', 'describe', 'the', 'first', 'results', 'of', 'our', 'numerical', 'study', 'on', 'the', 'possibility', 'of', 'magnetic', 'origin', 'of', 'relativistic', 'jets', 'of', 'long', 'duration', 'gamma', 'ray', 'bursters', 'within', 'the', 'collapsar', 'scenario', 'we', 'track', 'the', 'collapse', 'of', 'massive', 'rotating', 'stars', 'onto', 'a', 'rotating', 'central', 'black', 'hole', 'using', 'axisymmetric', 'general', 'relativistic', 'magnetohydrodynamic', 'code', 'that', 'utilizes', 'a', 'realistic', 'equation', 'of', 'state', 'of', 'stellar', 'matter', 'takes', 'into', 'account', 'the', 'cooling', 'associated', 'with', 'emission', 'of', 'neutrinos', 'and', 'the', 'energy', 'losses', 'due', 'to', 'dissociation', 'of', 'nuclei', 'the', 'neutrino', 'heating', 'is', 'not', 'included', 'we', 'describe', 'the', 'solution', 'for', 'one', 'particular', 'model', 'where', 'the', 'progenitor', 'star', 'has', 'magnetic', 'field', 'b1010g', 'the', 'solution', 'exhibits', 'strong', 'explosion', 'driven', 'by', 'the', 'poyntingdominated', 'jets', 'whose', 'power', 'exceeds', '2times1051', 'ergs', 'the', 'jets', 'originate', 'mainly', 'from', 'the', 'black', 'hole', 'and', 'they', 'are', 'powered', 'via', 'the', 'blandfordznajek', 'mechanism', 'the', 'full', 'details', 'of', 'the', 'simulations', 'together', 'with', 'the', 'results', 'of', 'parameter', 'study', 'will', 'be', 'presented', 'elsewhere', 'a', 'number', 'of', 'simulation', 'movies', 'can', 'be', 'downloaded', 'from', 'httpwwwmathsleedsacuksergueiresearchmoviesanimhtml']] | [-0.11630562073374286, 0.14940606295779535, -0.04580847704282054, 0.12950027398057753, -0.08557811324319602, -0.08245565344489628, 0.010630726832690165, 0.35335253266311145, -0.20043771077961295, -0.2954437975547736, 0.052598091168771205, -0.27595960231250316, -0.018235263744769973, 0.23226167492515443, 0.007045212895845216, -0.03724368451799773, 0.08926418919062472, -0.012165769887498663, -0.047453980831741766, -0.18159622959704197, 0.35848483997927627, 0.12682538637537746, 0.18398756771407362, 0.0015973688657336597, 0.07792076205870113, -0.059827627633297464, -0.027562679681644033, -0.0002723685583642012, -0.14302771447597204, 0.011210815842510968, 0.16081681126534136, 0.1429038160039212, 0.21602468380693102, -0.4756055878227742, -0.2525279244785256, 0.0636922466735167, 0.17408636794425547, 0.11427492844058743, -0.12864038932411284, -0.2428725851004165, 0.08622595095193555, -0.2535464015930797, -0.15176900468554488, 0.012338140025982469, -0.015000371642622955, 0.06293829335792124, -0.23165933251133353, 0.10079334379480326, 0.05755650779435741, -0.04280719113288612, -0.12114810050005399, -0.020161891246326502, -0.050746050935910565, 0.06439380043648961, 0.1260458630181059, 0.04746413607845861, 0.1715203232744921, -0.13679572394194342, -0.10118634157808191, 0.43510234247468693, -0.023649294243217742, -0.09956282635125084, 0.18238289394015092, -0.21387717939170572, -0.1181322034695952, 0.20107167545717822, 0.209496802821331, 0.14039296930054604, -0.146786274678734, 0.03843481983632863, -0.05128634332891412, 0.1509601700567652, 0.008265011849565596, 0.01433080153376206, 0.320205372339704, 0.19078942784181901, -0.06814150181245295, 0.12991313669753932, -0.1592215191977411, -0.07913160345316687, -0.3248690323420812, -0.10003458920430063, -0.14806712657225, 0.11632131796068279, -0.08271295779559296, -0.12142310526753965, 0.39464724638429877, 0.12178836652089524, 0.15650338420122745, -0.0386018507695415, 0.2934002563080314, 0.10873680402409827, 0.028265112884271935, 0.1546040409851725, 0.3208561782029611, 0.1683697070516764, 0.11771100506045018, -0.26806827520220716, 0.026280976285203064, 0.07064029137173644] |
710.2655 | Detailed Studies of Pixelated CZT Detectors Grown with the Modified
Horizontal Bridgman Method | The detector material Cadmium Zinc Telluride (CZT), known for its high
resolution over a broad energy range, is produced mainly by two methods: the
Modified High-Pressure Bridgman (MHB) and the High-Pressure Bridgman (HPB)
process. This study is based on MHB CZT substrates from the company Orbotech
Medical Solutions Ltd. with a detector size of 2.0x2.0x0.5 cm^3, 8x8 pixels and
a pitch of 2.46 mm. Former studies have emphasized only on the cathode material
showing that high-work-function improve the energy resolution at lower
energies. Therfore, we studied the influence of the anode material while
keeping the cathode material constant. We used four different materials:
Indium, Titanium, Chromium and Gold with work-functions between 4.1 eV and 5.1
eV. The low work-function materials Indium and Titanium achieved the best
performance with energy resolutions: 2.0 keV (at 59 keV) and 1.9 keV (at 122
keV) for Titanium; 2.1 keV (at 59 keV) and 2.9 keV (at 122 keV) for Indium.
These detectors are very competitive compared with the more expensive ones
based on HPB material if one takes the large pixel pitch of 2.46 mm into
account. We present a detailed comparison of our detector response with 3-D
simulations, from which we determined the mobility-lifetime-products for
electrons and holes. Finally, we evaluated the temperature dependency of the
detector performance and mobility-lifetime-products, which is important for
many applications. With decreasing temperature down to -30C the breakdown
voltage increases and the electron mobility-lifetime-product decreases by about
30% over a range from 20C to -30C. This causes the energy resolution to
deteriorate, but the concomitantly increasing breakdown voltage makes it
possible to increase the applied bias voltage and restore the full performance.
| astro-ph | the detector material cadmium zinc telluride czt known for its high resolution over a broad energy range is produced mainly by two methods the modified highpressure bridgman mhb and the highpressure bridgman hpb process this study is based on mhb czt substrates from the company orbotech medical solutions ltd with a detector size of 20x20x05 cm3 8x8 pixels and a pitch of 246 mm former studies have emphasized only on the cathode material showing that highworkfunction improve the energy resolution at lower energies therfore we studied the influence of the anode material while keeping the cathode material constant we used four different materials indium titanium chromium and gold with workfunctions between 41 ev and 51 ev the low workfunction materials indium and titanium achieved the best performance with energy resolutions 20 kev at 59 kev and 19 kev at 122 kev for titanium 21 kev at 59 kev and 29 kev at 122 kev for indium these detectors are very competitive compared with the more expensive ones based on hpb material if one takes the large pixel pitch of 246 mm into account we present a detailed comparison of our detector response with 3d simulations from which we determined the mobilitylifetimeproducts for electrons and holes finally we evaluated the temperature dependency of the detector performance and mobilitylifetimeproducts which is important for many applications with decreasing temperature down to 30c the breakdown voltage increases and the electron mobilitylifetimeproduct decreases by about 30 over a range from 20c to 30c this causes the energy resolution to deteriorate but the concomitantly increasing breakdown voltage makes it possible to increase the applied bias voltage and restore the full performance | [['the', 'detector', 'material', 'cadmium', 'zinc', 'telluride', 'czt', 'known', 'for', 'its', 'high', 'resolution', 'over', 'a', 'broad', 'energy', 'range', 'is', 'produced', 'mainly', 'by', 'two', 'methods', 'the', 'modified', 'highpressure', 'bridgman', 'mhb', 'and', 'the', 'highpressure', 'bridgman', 'hpb', 'process', 'this', 'study', 'is', 'based', 'on', 'mhb', 'czt', 'substrates', 'from', 'the', 'company', 'orbotech', 'medical', 'solutions', 'ltd', 'with', 'a', 'detector', 'size', 'of', '20x20x05', 'cm3', '8x8', 'pixels', 'and', 'a', 'pitch', 'of', '246', 'mm', 'former', 'studies', 'have', 'emphasized', 'only', 'on', 'the', 'cathode', 'material', 'showing', 'that', 'highworkfunction', 'improve', 'the', 'energy', 'resolution', 'at', 'lower', 'energies', 'therfore', 'we', 'studied', 'the', 'influence', 'of', 'the', 'anode', 'material', 'while', 'keeping', 'the', 'cathode', 'material', 'constant', 'we', 'used', 'four', 'different', 'materials', 'indium', 'titanium', 'chromium', 'and', 'gold', 'with', 'workfunctions', 'between', '41', 'ev', 'and', '51', 'ev', 'the', 'low', 'workfunction', 'materials', 'indium', 'and', 'titanium', 'achieved', 'the', 'best', 'performance', 'with', 'energy', 'resolutions', '20', 'kev', 'at', '59', 'kev', 'and', '19', 'kev', 'at', '122', 'kev', 'for', 'titanium', '21', 'kev', 'at', '59', 'kev', 'and', '29', 'kev', 'at', '122', 'kev', 'for', 'indium', 'these', 'detectors', 'are', 'very', 'competitive', 'compared', 'with', 'the', 'more', 'expensive', 'ones', 'based', 'on', 'hpb', 'material', 'if', 'one', 'takes', 'the', 'large', 'pixel', 'pitch', 'of', '246', 'mm', 'into', 'account', 'we', 'present', 'a', 'detailed', 'comparison', 'of', 'our', 'detector', 'response', 'with', '3d', 'simulations', 'from', 'which', 'we', 'determined', 'the', 'mobilitylifetimeproducts', 'for', 'electrons', 'and', 'holes', 'finally', 'we', 'evaluated', 'the', 'temperature', 'dependency', 'of', 'the', 'detector', 'performance', 'and', 'mobilitylifetimeproducts', 'which', 'is', 'important', 'for', 'many', 'applications', 'with', 'decreasing', 'temperature', 'down', 'to', '30c', 'the', 'breakdown', 'voltage', 'increases', 'and', 'the', 'electron', 'mobilitylifetimeproduct', 'decreases', 'by', 'about', '30', 'over', 'a', 'range', 'from', '20c', 'to', '30c', 'this', 'causes', 'the', 'energy', 'resolution', 'to', 'deteriorate', 'but', 'the', 'concomitantly', 'increasing', 'breakdown', 'voltage', 'makes', 'it', 'possible', 'to', 'increase', 'the', 'applied', 'bias', 'voltage', 'and', 'restore', 'the', 'full', 'performance']] | [-0.011099021159612608, 0.134929870572631, 0.027653221337607614, 0.011017959419007605, 0.01026980183777158, -0.15679393707153697, 0.0729377804858679, 0.43415386166285586, -0.18554736859406587, -0.41005569490155686, 0.06226213427467479, -0.37004266517167844, -0.0013498825840307055, 0.21625634272824282, -0.01996724294860744, 0.04436709465678885, 0.01432321019453445, -0.05341614995893367, -0.11573589017067139, -0.21749599554998525, 0.189823711695391, 0.15939895057774806, 0.3239513237348378, 0.10035630319681432, 0.13069878181925526, -0.05269722753462837, 0.03215652169935681, -0.0024771756492555142, -0.13049615940903161, 0.048705989362120075, 0.27147385180513894, -0.016504204021853014, 0.22022666908494473, -0.39945807417647705, -0.18121056381130107, 0.02355453695765593, 0.0795665304314483, 0.0158250925803764, -0.07927856713827673, -0.24352751601470152, 0.12258887234514718, -0.17170754015721656, -0.08595936382016926, 0.031022947762782374, -0.01990104195472129, 0.020905319996031554, -0.2014468972491428, 0.0647204418556713, 0.014715713452487424, 0.06487163341888744, -0.11299233649193344, -0.20637601356936136, -0.020466751987287014, 0.02590428944493868, 0.02622197082824574, 0.0332274149387592, 0.22970203322237703, -0.08135957541116685, -0.032694942113098306, 0.3526425297320303, -0.03844802834986088, -0.04981434723239444, 0.18941556264094456, -0.1696378025347022, -0.06002403351325214, 0.25636418442138365, 0.11523054288527756, 0.08123675064890887, -0.14525215514694098, 0.036112863322422424, 0.05984950203133781, 0.27435237054057693, 0.13467562861085214, 0.01913571144471428, 0.19487323469258155, 0.24202515542058758, 0.02859475108152428, 0.1162851070610082, -0.19771004479412954, 0.032000287697020985, -0.2156178916688077, -0.17566896375544644, -0.12027028669706649, 0.07165151919751359, -0.09283552016417229, -0.14949176385610674, 0.41156612473229565, 0.1408341217889554, 0.1655300758511725, -0.02064077092886523, 0.2729474736811594, 0.0691871725234065, 0.0902201425717471, 0.022946657155881876, 0.27862376479466483, 0.12067233120539674, 0.16746046173351783, -0.2044451703524424, 0.03928307732912125, -0.020493438205233326] |
710.2656 | Pioneer Anomaly: Evaluating Newly Recovered Data | The Pioneer 10/11 spacecraft yielded the most precise navigation in deep
space to date. However, their radio-metric tracking data received from the
distances between 20--70 astronomical units from the Sun consistently indicated
the presence of a small, anomalous, Doppler frequency drift. The drift is a
blue frequency shift that can be interpreted as a sunward acceleration of a_P =
(8.74 +/- 1.33) x 10^(-10) m/s^2 for each particular spacecraft. This signal
has become known as the Pioneer anomaly; the nature of this anomaly remains
unexplained.
New Pioneer 10 and 11 radio-metric Doppler data recently became available.
The much extended set of Pioneer Doppler data is the primary source for new
upcoming investigation of the anomaly. We also have almost entire records of
flight telemetry files received from the the Pioneers. Together with original
project documentation and newly developed software tools, this additional
information is now used to reconstruct the engineering history of both
spacecraft. To that extent, a thermal model of the Pioneer vehicles is being
developed to study possible contribution of thermal recoil force acting on the
two spacecraft. In addition, to improve the accuracy of orbital reconstruction,
we developed a new approach that uses actual flight telemetry data during
trajectory analysis of radio-metric Doppler files. The ultimate goal of these
efforts is to investigate possible contributions of the thermal recoil force to
the detected anomalous acceleration.
| gr-qc | the pioneer 1011 spacecraft yielded the most precise navigation in deep space to date however their radiometric tracking data received from the distances between 2070 astronomical units from the sun consistently indicated the presence of a small anomalous doppler frequency drift the drift is a blue frequency shift that can be interpreted as a sunward acceleration of a_p 874 133 x 1010 ms2 for each particular spacecraft this signal has become known as the pioneer anomaly the nature of this anomaly remains unexplained new pioneer 10 and 11 radiometric doppler data recently became available the much extended set of pioneer doppler data is the primary source for new upcoming investigation of the anomaly we also have almost entire records of flight telemetry files received from the the pioneers together with original project documentation and newly developed software tools this additional information is now used to reconstruct the engineering history of both spacecraft to that extent a thermal model of the pioneer vehicles is being developed to study possible contribution of thermal recoil force acting on the two spacecraft in addition to improve the accuracy of orbital reconstruction we developed a new approach that uses actual flight telemetry data during trajectory analysis of radiometric doppler files the ultimate goal of these efforts is to investigate possible contributions of the thermal recoil force to the detected anomalous acceleration | [['the', 'pioneer', '1011', 'spacecraft', 'yielded', 'the', 'most', 'precise', 'navigation', 'in', 'deep', 'space', 'to', 'date', 'however', 'their', 'radiometric', 'tracking', 'data', 'received', 'from', 'the', 'distances', 'between', '2070', 'astronomical', 'units', 'from', 'the', 'sun', 'consistently', 'indicated', 'the', 'presence', 'of', 'a', 'small', 'anomalous', 'doppler', 'frequency', 'drift', 'the', 'drift', 'is', 'a', 'blue', 'frequency', 'shift', 'that', 'can', 'be', 'interpreted', 'as', 'a', 'sunward', 'acceleration', 'of', 'a_p', '874', '133', 'x', '1010', 'ms2', 'for', 'each', 'particular', 'spacecraft', 'this', 'signal', 'has', 'become', 'known', 'as', 'the', 'pioneer', 'anomaly', 'the', 'nature', 'of', 'this', 'anomaly', 'remains', 'unexplained', 'new', 'pioneer', '10', 'and', '11', 'radiometric', 'doppler', 'data', 'recently', 'became', 'available', 'the', 'much', 'extended', 'set', 'of', 'pioneer', 'doppler', 'data', 'is', 'the', 'primary', 'source', 'for', 'new', 'upcoming', 'investigation', 'of', 'the', 'anomaly', 'we', 'also', 'have', 'almost', 'entire', 'records', 'of', 'flight', 'telemetry', 'files', 'received', 'from', 'the', 'the', 'pioneers', 'together', 'with', 'original', 'project', 'documentation', 'and', 'newly', 'developed', 'software', 'tools', 'this', 'additional', 'information', 'is', 'now', 'used', 'to', 'reconstruct', 'the', 'engineering', 'history', 'of', 'both', 'spacecraft', 'to', 'that', 'extent', 'a', 'thermal', 'model', 'of', 'the', 'pioneer', 'vehicles', 'is', 'being', 'developed', 'to', 'study', 'possible', 'contribution', 'of', 'thermal', 'recoil', 'force', 'acting', 'on', 'the', 'two', 'spacecraft', 'in', 'addition', 'to', 'improve', 'the', 'accuracy', 'of', 'orbital', 'reconstruction', 'we', 'developed', 'a', 'new', 'approach', 'that', 'uses', 'actual', 'flight', 'telemetry', 'data', 'during', 'trajectory', 'analysis', 'of', 'radiometric', 'doppler', 'files', 'the', 'ultimate', 'goal', 'of', 'these', 'efforts', 'is', 'to', 'investigate', 'possible', 'contributions', 'of', 'the', 'thermal', 'recoil', 'force', 'to', 'the', 'detected', 'anomalous', 'acceleration']] | [-0.10655327408937161, 0.13401225901752775, -0.08513917726784197, 0.03684098441699783, -0.1398571404850984, -0.09184248408043048, 0.027645987089706864, 0.3681670622374714, -0.24944311249599405, -0.3836648647871231, 0.11792837242509313, -0.29784074419309936, -0.0979100050565898, 0.23321305019101046, -0.10401050914476875, 0.0665259909083597, 0.08765337296835748, 0.06504652251497703, -0.021168856734751964, -0.2001806382889307, 0.2104508526874624, 0.15084389227417203, 0.2265852452709084, 0.013736887664979209, 0.12910263381272027, -0.032072244924688874, -0.08776825723321738, -0.00768315818058265, -0.08564575092577395, 0.11188460654265915, 0.22977882700617347, 0.15511281905279586, 0.22146715023101562, -0.37901566967376366, -0.23728636271460393, 0.07316860617875055, 0.12530875817225604, 0.07002179018907925, -0.056221443662663045, -0.3238432706834386, 0.011769678449851618, -0.17046203754586786, -0.1439807464201745, -0.018024005337857304, 0.06514916444337407, -0.031433677974062255, -0.22413521794091285, 0.0635071721800296, 0.0015522991337986515, 0.10046442309641733, -0.10924379885571688, -0.1321287840930333, 0.02034612846729733, 0.1851881802827944, 0.08943469270412703, 0.07696766292457922, 0.16484165595910322, -0.0532765683328601, -0.0989197120781312, 0.40521955963191203, -0.06375335206059261, -0.06966556002287012, 0.17147979943341354, -0.17532032750448032, -0.13855500033215942, 0.18044730926970992, 0.17936519577901447, 0.04989601215319316, -0.21588070343755417, 0.02999008158829673, 0.03202613745610007, 0.1603612790694996, 0.0804994894620196, 0.007863108107853121, 0.2144657059168789, 0.15259160609339958, 0.058401105079626814, 0.07622212573238937, -0.21223598720600614, -0.025422325387156147, -0.25261955873719294, -0.1358633089807519, -0.16715681827544704, 0.030106717383229398, -0.05336356593645693, -0.099602950749243, 0.3582363265063778, 0.2247678035173763, 0.17397700669037888, -0.012647251019551031, 0.3801405463075117, 0.04227155807204761, 0.11196292435675159, 0.06388872501489797, 0.30486615094051295, 0.10185177982434532, 0.17775917075939096, -0.21120061950688043, 0.06474361978061766, 0.017752710278599267] |
710.2657 | Non-Newtonian viscosity in magnetized plasma | The particle and momentum balance equations can be solved on concentric
circular flux surfaces to determine the effective viscous drag present in a
magnetized tokamak plasma in the low aspect ratio limit. An analysis is
developed utilizing the first-order Fourier expansion of the poloidal variation
of quantities on the flux surface akin to that by Stacey and Sigmar [Phys.
Fluids, 28, 9 (1985)]. Expressions to determine the poloidal variations of
density, poloidal velocity, toroidal velocity, radial electric field, poloidal
electric field, and other radial profiles are presented in a multi-species
setting. Using as input experimental data for the flux surface averaged
profiles of density, temperature, toroidal current, toroidal momentum
injection, and the poloidal and toroidal rotations of at least one species of
ion, one may solve the equations numerically for the remaining profiles. The
resultant effective viscosities are compared to those predicted by Stacey and
Sigmar and Shaing, et al., [Nuclear Fusion, 25, 4 (1985)]. A velocity
dependence of the effective viscosity is observed, indicating the presence of
non-Newtonian fluid behavior in magnetized plasma.
| physics.plasm-ph | the particle and momentum balance equations can be solved on concentric circular flux surfaces to determine the effective viscous drag present in a magnetized tokamak plasma in the low aspect ratio limit an analysis is developed utilizing the firstorder fourier expansion of the poloidal variation of quantities on the flux surface akin to that by stacey and sigmar phys fluids 28 9 1985 expressions to determine the poloidal variations of density poloidal velocity toroidal velocity radial electric field poloidal electric field and other radial profiles are presented in a multispecies setting using as input experimental data for the flux surface averaged profiles of density temperature toroidal current toroidal momentum injection and the poloidal and toroidal rotations of at least one species of ion one may solve the equations numerically for the remaining profiles the resultant effective viscosities are compared to those predicted by stacey and sigmar and shaing et al nuclear fusion 25 4 1985 a velocity dependence of the effective viscosity is observed indicating the presence of nonnewtonian fluid behavior in magnetized plasma | [['the', 'particle', 'and', 'momentum', 'balance', 'equations', 'can', 'be', 'solved', 'on', 'concentric', 'circular', 'flux', 'surfaces', 'to', 'determine', 'the', 'effective', 'viscous', 'drag', 'present', 'in', 'a', 'magnetized', 'tokamak', 'plasma', 'in', 'the', 'low', 'aspect', 'ratio', 'limit', 'an', 'analysis', 'is', 'developed', 'utilizing', 'the', 'firstorder', 'fourier', 'expansion', 'of', 'the', 'poloidal', 'variation', 'of', 'quantities', 'on', 'the', 'flux', 'surface', 'akin', 'to', 'that', 'by', 'stacey', 'and', 'sigmar', 'phys', 'fluids', '28', '9', '1985', 'expressions', 'to', 'determine', 'the', 'poloidal', 'variations', 'of', 'density', 'poloidal', 'velocity', 'toroidal', 'velocity', 'radial', 'electric', 'field', 'poloidal', 'electric', 'field', 'and', 'other', 'radial', 'profiles', 'are', 'presented', 'in', 'a', 'multispecies', 'setting', 'using', 'as', 'input', 'experimental', 'data', 'for', 'the', 'flux', 'surface', 'averaged', 'profiles', 'of', 'density', 'temperature', 'toroidal', 'current', 'toroidal', 'momentum', 'injection', 'and', 'the', 'poloidal', 'and', 'toroidal', 'rotations', 'of', 'at', 'least', 'one', 'species', 'of', 'ion', 'one', 'may', 'solve', 'the', 'equations', 'numerically', 'for', 'the', 'remaining', 'profiles', 'the', 'resultant', 'effective', 'viscosities', 'are', 'compared', 'to', 'those', 'predicted', 'by', 'stacey', 'and', 'sigmar', 'and', 'shaing', 'et', 'al', 'nuclear', 'fusion', '25', '4', '1985', 'a', 'velocity', 'dependence', 'of', 'the', 'effective', 'viscosity', 'is', 'observed', 'indicating', 'the', 'presence', 'of', 'nonnewtonian', 'fluid', 'behavior', 'in', 'magnetized', 'plasma']] | [-0.14272916331117425, 0.19646587528396367, -0.05289439450830996, 0.04265451995720495, -0.042253691096106445, -0.08987965637204275, -0.06594116310319847, 0.3086425194495245, -0.20370479043293205, -0.36770200431669897, 0.029363705254445188, -0.23192817548214528, -0.010504432462661856, 0.193965452434522, -0.028682658419206825, 0.03689275651152725, -0.001094560675872113, -0.02701387391291085, -0.038499983400375595, -0.19115662697778013, 0.26599209938693597, 0.06846176914741538, 0.2898658296581885, 0.04949047935905704, 0.06812376368621288, -0.0533081036925079, -0.04876006627455354, 0.11265575277452179, -0.16453700209231784, 0.04107806090443163, 0.18286609148332106, 0.009694376082907867, 0.15958162014388796, -0.46614033644857433, -0.2162338604706789, 0.008342520646061856, 0.16101922787711795, 0.08533944658843552, -0.0105333779649163, -0.1944987658583532, 0.013195269689975963, -0.17604481061177618, -0.1842852131849844, -0.06509789426823152, 0.12133323855703491, 0.06600956968031824, -0.3012415336692609, 0.16407144601699744, 0.045564121331190525, 0.09875192872996878, -0.12700883595197532, -0.13718544054948698, -0.09634372733824084, 0.02122322701434524, 0.07487727373278555, 0.06673883385364117, 0.23353923544438415, -0.14634754371457878, -0.03168180802395578, 0.33125307687660516, -0.10646938898390687, -0.1962211044408338, 0.16569714769021193, -0.17528109832241529, -0.05921078261224865, 0.18665241059238855, 0.1674705692432347, 0.11554457954362551, -0.11288746356468841, 0.048706111400435285, -0.05424634504099673, 0.11692974808457395, 0.13590727780940215, -0.0843966572270917, 0.25901518245308386, 0.08177161038008039, 0.0342939911797815, 0.08960688559883853, -0.17708897269393165, -0.06749219070841435, -0.268038971085812, -0.11816865357575733, -0.13279003979075657, 0.0318164553155455, -0.09539216968866476, -0.16045767931009217, 0.3744562908958622, 0.08287770583629446, 0.15452418206636445, -0.025076249389602356, 0.31694624406377103, 0.15658622241183318, 0.005547199822093207, 0.1832293572598756, 0.30427585320945594, 0.2738958453958736, 0.17307647653031727, -0.3044910365204203, 0.012418652174057644, 0.07921701334578367] |
710.2658 | Catalog of dessins d'enfants with \le 4 edges | In this work all the dessins d'enfant with no more than 4 edges are listed
and their Belyi pairs are computed. In order to enumerate all dessins the
technique of matrix model computations was used. The total number of dessins is
134; among them 77 are spherical, 53 of genus 1 and 4 of genus 2. The orders of
automorphism groups of all the dessins are also found.
Dessins are listed by the number of edges. Dessins with the same number of
edges are ordered lexicographically by their lists of 0-valencies. The
corresponding matrix model for any list of 0-valencies is given and computed.
Complex matrix models for dessins with 1 -- 3 edges are used. For the dessins
with 4 edges we use Hermitian matrix model, correlators for which are computed
in [1].
| math.AG | in this work all the dessins denfant with no more than 4 edges are listed and their belyi pairs are computed in order to enumerate all dessins the technique of matrix model computations was used the total number of dessins is 134 among them 77 are spherical 53 of genus 1 and 4 of genus 2 the orders of automorphism groups of all the dessins are also found dessins are listed by the number of edges dessins with the same number of edges are ordered lexicographically by their lists of 0valencies the corresponding matrix model for any list of 0valencies is given and computed complex matrix models for dessins with 1 3 edges are used for the dessins with 4 edges we use hermitian matrix model correlators for which are computed in 1 | [['in', 'this', 'work', 'all', 'the', 'dessins', 'denfant', 'with', 'no', 'more', 'than', '4', 'edges', 'are', 'listed', 'and', 'their', 'belyi', 'pairs', 'are', 'computed', 'in', 'order', 'to', 'enumerate', 'all', 'dessins', 'the', 'technique', 'of', 'matrix', 'model', 'computations', 'was', 'used', 'the', 'total', 'number', 'of', 'dessins', 'is', '134', 'among', 'them', '77', 'are', 'spherical', '53', 'of', 'genus', '1', 'and', '4', 'of', 'genus', '2', 'the', 'orders', 'of', 'automorphism', 'groups', 'of', 'all', 'the', 'dessins', 'are', 'also', 'found', 'dessins', 'are', 'listed', 'by', 'the', 'number', 'of', 'edges', 'dessins', 'with', 'the', 'same', 'number', 'of', 'edges', 'are', 'ordered', 'lexicographically', 'by', 'their', 'lists', 'of', '0valencies', 'the', 'corresponding', 'matrix', 'model', 'for', 'any', 'list', 'of', '0valencies', 'is', 'given', 'and', 'computed', 'complex', 'matrix', 'models', 'for', 'dessins', 'with', '1', '3', 'edges', 'are', 'used', 'for', 'the', 'dessins', 'with', '4', 'edges', 'we', 'use', 'hermitian', 'matrix', 'model', 'correlators', 'for', 'which', 'are', 'computed', 'in', '1']] | [-0.12840411288375816, 0.14685542922278597, -0.012467272409045969, 0.0905616975821313, -0.04117284555926578, -0.1262117510817888, -0.014399673416499646, 0.40130587232135634, -0.23581400516137252, -0.4068450395103174, 0.09253757030130826, -0.39213752647051375, -0.1602939207263234, 0.17174961646833947, -0.0554074696625071, 0.028980284913279513, 0.016211437601738304, 0.08759927110327052, -0.05514059491981645, -0.3692806691485848, 0.3253877953100125, -0.05594234471209347, 0.17197261127831684, 0.00272494766555499, -0.005166905832597772, 0.023486511938217033, -0.053061727434396744, 0.0023280881929126007, -0.07554621520302905, 0.16314680787613828, 0.2906155385914179, 0.08420756976795561, 0.12348309244590862, -0.4142002919475541, -0.12317594525205214, 0.16486849017327523, 0.1111419786350759, 0.06792102438017356, 0.04448823037658167, -0.1882994728169994, 0.15371931757322932, -0.13812817714909334, -0.11414715162840963, -0.06076117119403513, 0.06311591790690449, 0.055291170688019, -0.1912557199412516, 0.002772241889255633, 0.019349239539099103, 0.11105941686750824, 0.015553962353986638, -0.22853498848667012, -0.1015132581246377, 0.13675596967751857, -0.0026205163565131066, 0.02915160199769467, 0.06389189491631421, -0.1373626852518246, -0.14982361470896552, 0.4075019628747956, 0.021699990964212938, -0.17059715891271146, 0.11956304050128878, -0.12084660231924922, -0.13977709254747583, 0.16927363318817704, 0.08759354300199802, 0.188471442842074, -0.08306369668882312, 0.0903321910913472, -0.09610167106627736, 0.10622514034479232, 0.11082318638458506, -0.020735363146283072, 0.1571350056279934, 0.04939197850562917, 0.031110995829475064, 0.1348306864912387, -0.028580451908722194, 0.0038679163611515335, -0.29158968484128706, -0.1320401913422437, -0.167988185545977, 0.026437282340089213, -0.17014846562211072, -0.16484773875825562, 0.44882424469354726, 0.10599704255271732, 0.21511537884539775, 0.13348063851532505, 0.18143412584566887, 0.046487344318702245, 0.09653566740204417, 0.12551195605992133, 0.1253421388011966, 0.19675648114679536, -0.07845196806121874, -0.09129512268083013, 0.014853706530060705, 0.1453072911711367] |
710.2659 | Rigidity and persistence for ensuring shape maintenance of multiagent
meta formations (ext'd version) | This paper treats the problem of the merging of formations, where the
underlying model of a formation is graphical. We first analyze the rigidity and
persistence of meta-formations, which are formations obtained by connecting
several rigid or persistent formations. Persistence is a generalization to
directed graphs of the undirected notion of rigidity. In the context of moving
autonomous agent formations, persistence characterizes the efficacy of a
directed structure of unilateral distance constraints seeking to preserve a
formation shape. We derive then, for agents evolving in a two- or
three-dimensional space, the conditions under which a set of persistent
formations can be merged into a persistent meta-formation, and give the minimal
number of interconnections needed for such a merging. We also give conditions
for a meta-formation obtained by merging several persistent formations to be
persistent.
| cs.MA cs.DM | this paper treats the problem of the merging of formations where the underlying model of a formation is graphical we first analyze the rigidity and persistence of metaformations which are formations obtained by connecting several rigid or persistent formations persistence is a generalization to directed graphs of the undirected notion of rigidity in the context of moving autonomous agent formations persistence characterizes the efficacy of a directed structure of unilateral distance constraints seeking to preserve a formation shape we derive then for agents evolving in a two or threedimensional space the conditions under which a set of persistent formations can be merged into a persistent metaformation and give the minimal number of interconnections needed for such a merging we also give conditions for a metaformation obtained by merging several persistent formations to be persistent | [['this', 'paper', 'treats', 'the', 'problem', 'of', 'the', 'merging', 'of', 'formations', 'where', 'the', 'underlying', 'model', 'of', 'a', 'formation', 'is', 'graphical', 'we', 'first', 'analyze', 'the', 'rigidity', 'and', 'persistence', 'of', 'metaformations', 'which', 'are', 'formations', 'obtained', 'by', 'connecting', 'several', 'rigid', 'or', 'persistent', 'formations', 'persistence', 'is', 'a', 'generalization', 'to', 'directed', 'graphs', 'of', 'the', 'undirected', 'notion', 'of', 'rigidity', 'in', 'the', 'context', 'of', 'moving', 'autonomous', 'agent', 'formations', 'persistence', 'characterizes', 'the', 'efficacy', 'of', 'a', 'directed', 'structure', 'of', 'unilateral', 'distance', 'constraints', 'seeking', 'to', 'preserve', 'a', 'formation', 'shape', 'we', 'derive', 'then', 'for', 'agents', 'evolving', 'in', 'a', 'two', 'or', 'threedimensional', 'space', 'the', 'conditions', 'under', 'which', 'a', 'set', 'of', 'persistent', 'formations', 'can', 'be', 'merged', 'into', 'a', 'persistent', 'metaformation', 'and', 'give', 'the', 'minimal', 'number', 'of', 'interconnections', 'needed', 'for', 'such', 'a', 'merging', 'we', 'also', 'give', 'conditions', 'for', 'a', 'metaformation', 'obtained', 'by', 'merging', 'several', 'persistent', 'formations', 'to', 'be', 'persistent']] | [-0.1785403408095923, 0.123486285545785, -0.08853770416400587, 0.08188420380305726, -0.07982871289016637, -0.08276695240189443, 0.021102656338155938, 0.37358826591156935, -0.3226933451689325, -0.29894688208623016, 0.12502020985982915, -0.19611413882092665, -0.16798077754406188, 0.12700802771346145, -0.06373836052113475, -0.006042735697346107, 0.06733046548853394, 0.08456080769124719, -0.03605774371308907, -0.21356241232075707, 0.32859047207952913, 0.003855727111764309, 0.21189496839660724, 0.029085407927116905, 0.09242385786154685, 0.035697088431111954, -0.013613373336190258, 0.13024754669025845, -0.16944535776709727, 0.17040484038071407, 0.21410069960162384, 0.13161589375178095, 0.25249577028044135, -0.4390769750732957, -0.22247945102827468, 0.13290918796884876, 0.1114159457217582, 0.10222242762981594, -0.037077368734731476, -0.31150913932396257, 0.12935027034370272, -0.16885743167905407, -0.1253565631216776, -0.02605611705825529, 0.04964772198448768, 0.07801087807956372, -0.26267710670638644, 0.04073631811601764, 0.10028141090745916, 0.030633986025239084, -0.100299138350071, 0.001911976708824398, -0.05029358748588284, 0.17874091664926356, -0.020628097691957108, -0.0300075288734022, 0.11287462811931286, -0.1587377755621889, -0.16637690088405976, 0.3939269388961883, -0.0005037994301728619, -0.18455203860031286, 0.21898083866197077, -0.06911520374128381, -0.16034332605590687, 0.12105340893444327, 0.18478270187860227, 0.11317931084346225, -0.15323123985053688, 0.013913749211524678, -0.07226006266525911, 0.09715115502192319, 0.08494934889324407, -0.0005992621553080682, 0.2200957364153885, 0.2215202572037473, 0.15363742519198484, 0.19561789255724324, -0.07173057259878016, -0.1319082594042971, -0.28141915196026784, -0.1402240722006514, -0.11573971158430293, 0.04532304197151697, -0.06565244594132989, -0.1903921737200545, 0.4267158436176602, 0.0890310430892153, 0.24981692498940833, 0.09091240055468075, 0.25056921903982415, 0.0449785126066804, 0.015715069039760315, 0.07328074579020492, 0.17287254863141374, 0.1456432203221924, 0.0413786341429098, -0.17816616736711466, 0.12336760949528286, 0.1010086789855179] |
710.266 | Viscosity and confinement in magnetized plasma | An alternative to the Braginskii decomposition is proposed, one rooted in
treating the viscosity as a scalar quantity in a coordinate-free
representation. With appropriate application to the rate-of-shear tensor, one
may solve the neoclassical force density equations for its undetermined
velocity dependence, as well as the radial and poloidal profiles mentioned in
[R. W. Johnson, Phys. Plasmas, under review], using an improved poloidal
expansion. The pseudoplastic behavior of magnetized plasma is again obtained,
and the high viscosity solution is determined to be physical. A clear
relationship between confinement mode and viscosity is observed, indicating a
physical origin for transport barriers, pedestals, and other phenomena. The
gyroviscous contribution is found to be an effect on the order of one
one-thousandth of one percent of the dominant collisional viscosity.
| physics.plasm-ph | an alternative to the braginskii decomposition is proposed one rooted in treating the viscosity as a scalar quantity in a coordinatefree representation with appropriate application to the rateofshear tensor one may solve the neoclassical force density equations for its undetermined velocity dependence as well as the radial and poloidal profiles mentioned in r w johnson phys plasmas under review using an improved poloidal expansion the pseudoplastic behavior of magnetized plasma is again obtained and the high viscosity solution is determined to be physical a clear relationship between confinement mode and viscosity is observed indicating a physical origin for transport barriers pedestals and other phenomena the gyroviscous contribution is found to be an effect on the order of one onethousandth of one percent of the dominant collisional viscosity | [['an', 'alternative', 'to', 'the', 'braginskii', 'decomposition', 'is', 'proposed', 'one', 'rooted', 'in', 'treating', 'the', 'viscosity', 'as', 'a', 'scalar', 'quantity', 'in', 'a', 'coordinatefree', 'representation', 'with', 'appropriate', 'application', 'to', 'the', 'rateofshear', 'tensor', 'one', 'may', 'solve', 'the', 'neoclassical', 'force', 'density', 'equations', 'for', 'its', 'undetermined', 'velocity', 'dependence', 'as', 'well', 'as', 'the', 'radial', 'and', 'poloidal', 'profiles', 'mentioned', 'in', 'r', 'w', 'johnson', 'phys', 'plasmas', 'under', 'review', 'using', 'an', 'improved', 'poloidal', 'expansion', 'the', 'pseudoplastic', 'behavior', 'of', 'magnetized', 'plasma', 'is', 'again', 'obtained', 'and', 'the', 'high', 'viscosity', 'solution', 'is', 'determined', 'to', 'be', 'physical', 'a', 'clear', 'relationship', 'between', 'confinement', 'mode', 'and', 'viscosity', 'is', 'observed', 'indicating', 'a', 'physical', 'origin', 'for', 'transport', 'barriers', 'pedestals', 'and', 'other', 'phenomena', 'the', 'gyroviscous', 'contribution', 'is', 'found', 'to', 'be', 'an', 'effect', 'on', 'the', 'order', 'of', 'one', 'onethousandth', 'of', 'one', 'percent', 'of', 'the', 'dominant', 'collisional', 'viscosity']] | [-0.12971499898389632, 0.1431217146458775, -0.11063372703649783, 0.048392214365155686, -0.10512329838682144, -0.10895307363188338, -0.034007569361064166, 0.29612564368705663, -0.2823842671080326, -0.28541639674129704, 0.06373979544566412, -0.2578813961766187, -0.07480983062839461, 0.18230748417535944, -0.017101501280974065, 0.021973708056427153, 0.0006575083123549582, 0.015148583293286345, -0.019631061229913954, -0.184257496253676, 0.28620950052226407, 0.0799678658164801, 0.2539004178159678, 0.09378086662221154, 0.0915324359333941, -0.054523222200158566, -0.028548157173356722, 0.06905762232943541, -0.15132184766289788, 0.027677919072586866, 0.20237729608798252, 0.02904255953728266, 0.23729592334065172, -0.39776715231941095, -0.22775868767695057, 0.015201482984666077, 0.1541920183817782, 0.08883439519790017, -0.011748298116597451, -0.19519441265849366, 0.0299804635223053, -0.17658624368616277, -0.17788147677885488, -0.06684608323109661, 0.09064279767196803, -0.017823195840705127, -0.3116988910894309, 0.1433924675830418, 0.03610366031191208, 0.050365643830792534, -0.10559942986583337, -0.1347285761601395, -0.05110012700906881, 0.07959051094284016, 0.09361950708331451, 0.06356708651467685, 0.17346628708025766, -0.15574788807758264, -0.061586154699658176, 0.3950616069551971, -0.10900172174054508, -0.2226218536488309, 0.20259337667893204, -0.133107614186075, -0.07131468469188326, 0.12501424397729957, 0.11846150759799731, 0.11543335789252841, -0.13731324454651228, 0.045486898935725176, -0.027439823777910086, 0.1209199352304004, 0.08309866884207752, 0.00808079575469333, 0.2001005324548007, 0.1498798809789439, 0.04303930444450724, 0.10755360995591175, -0.07384492982260232, -0.0658793137205528, -0.29444427190289374, -0.160387688220316, -0.16858612503930334, 0.06440663007124962, -0.08504155219767227, -0.19440693115688018, 0.3619415141274369, 0.13096399822120836, 0.17918994462917678, -0.043412261178702234, 0.29415214168173925, 0.16862382751285276, 0.04487577124197583, 0.10652837309882873, 0.2972204141052706, 0.23029922282079324, 0.13185236588608296, -0.2694131115623306, 0.06626964466300302, 0.08694389109714104] |
710.2661 | Affine Geometry of Space Curves | This paper is devoted to the complete classification of space curves under
affine transformations in the view of Cartan's theorem. Spivak has introduced
the method but has not found the invariants. Furthermore, for the first time,
we propound a necessary and sufficient condition for the invariants. Then, we
study the shapes of space curves with constant curvatures in detail and suggest
their applications in physics, computer vision and image processing.
| math.DG | this paper is devoted to the complete classification of space curves under affine transformations in the view of cartans theorem spivak has introduced the method but has not found the invariants furthermore for the first time we propound a necessary and sufficient condition for the invariants then we study the shapes of space curves with constant curvatures in detail and suggest their applications in physics computer vision and image processing | [['this', 'paper', 'is', 'devoted', 'to', 'the', 'complete', 'classification', 'of', 'space', 'curves', 'under', 'affine', 'transformations', 'in', 'the', 'view', 'of', 'cartans', 'theorem', 'spivak', 'has', 'introduced', 'the', 'method', 'but', 'has', 'not', 'found', 'the', 'invariants', 'furthermore', 'for', 'the', 'first', 'time', 'we', 'propound', 'a', 'necessary', 'and', 'sufficient', 'condition', 'for', 'the', 'invariants', 'then', 'we', 'study', 'the', 'shapes', 'of', 'space', 'curves', 'with', 'constant', 'curvatures', 'in', 'detail', 'and', 'suggest', 'their', 'applications', 'in', 'physics', 'computer', 'vision', 'and', 'image', 'processing']] | [-0.1169325203734583, 0.03293575089690941, -0.13918127167437758, 0.058653046816055265, -0.07677122037857771, -0.10945360627956688, -0.01035963028968711, 0.37913511778627124, -0.2640508852100798, -0.2979091244749725, 0.11979197124518189, -0.19376582770741413, -0.22173119239243014, 0.22191797254074896, -0.16934868500434927, 0.07797012766157942, 0.053610263618507556, 0.062799105646887, -0.128793393487909, -0.3117212057645832, 0.3364006203466228, 0.003199540530996663, 0.2739686218755586, 0.07783570043060796, 0.11398915982406055, 0.017098030042169348, -0.06787738272853727, 0.005905022870449882, -0.20274337772279977, 0.12681320973538926, 0.2661360252315977, 0.13574891621246934, 0.2272854432796261, -0.38684847144676104, -0.17648317556221238, 0.16847478098102978, 0.11133183323379074, 0.08695358008678471, -0.05836572933809033, -0.2869630010532481, 0.09341446412311467, -0.06885960682162216, -0.1345056490906115, -0.11359973764047027, 0.07779768785195691, -0.03183834962879441, -0.18774855009479716, 0.018416550143488815, 0.11119439104305846, 0.12984026441616672, -0.08898086174989918, -0.03639409342514617, 0.0027290550393185447, 0.1013859922199377, 0.03269925940715309, 0.022778534037726266, 0.06041859216056764, -0.1242620558843815, -0.12120488735048898, 0.43954036512545175, -0.02101469210215977, -0.22412044017442634, 0.15009681837899344, -0.12782021057459392, -0.19780809323835585, 0.0965063251688012, 0.16107142890603945, 0.12843109757772514, -0.1298055067259286, 0.13846865779736878, -0.014543313563003072, 0.08244139403104782, 0.06653637931283031, 0.007101968902030162, 0.15973163948261312, 0.12126140734180808, 0.057742119487375024, 0.16308315210377, -0.0708480583869719, -0.036753227987459725, -0.3360163429751992, -0.22598409399756098, -0.13421695988093105, 0.013448632551964173, -0.04691706385534157, -0.1259182354967509, 0.4329290835186839, 0.11486903723728444, 0.16343602209485003, 0.07485284277603828, 0.280570538624722, 0.06675420373794623, 0.06174369439748781, 0.0639627338320549, 0.2095209798176906, 0.170932369732431, 0.12420547112290348, -0.13289513011862125, 0.01712125700100192, 0.11716795628225164] |
710.2662 | Affine Classification of n-Curves | Classification of curves up to affine transformation in a finite dimensional
space was studied by some different methods. In this paper, we achieve the
exact formulas of affine invariants via the equivalence problem and in the view
of Cartan's lemma and then, state a necessary and sufficient condition for
classification of n--Curves.
| math.DG | classification of curves up to affine transformation in a finite dimensional space was studied by some different methods in this paper we achieve the exact formulas of affine invariants via the equivalence problem and in the view of cartans lemma and then state a necessary and sufficient condition for classification of ncurves | [['classification', 'of', 'curves', 'up', 'to', 'affine', 'transformation', 'in', 'a', 'finite', 'dimensional', 'space', 'was', 'studied', 'by', 'some', 'different', 'methods', 'in', 'this', 'paper', 'we', 'achieve', 'the', 'exact', 'formulas', 'of', 'affine', 'invariants', 'via', 'the', 'equivalence', 'problem', 'and', 'in', 'the', 'view', 'of', 'cartans', 'lemma', 'and', 'then', 'state', 'a', 'necessary', 'and', 'sufficient', 'condition', 'for', 'classification', 'of', 'ncurves']] | [-0.09194407414864092, 0.05010394744721113, -0.09846670649872691, 0.06258693685088598, -0.06480187356618106, -0.13808812778077872, 0.07803424620115217, 0.3511136322848353, -0.3023842840875481, -0.27184180559261756, 0.14791894637678257, -0.17789362399729297, -0.1685803122088021, 0.20990771646885312, -0.1433116147444725, 0.08777684151359341, 0.05333843556981461, 0.06824283488094807, -0.19293804048542298, -0.31447224249588507, 0.37693708053990904, -0.021637943737647113, 0.2912771975731148, 0.06109420564390865, 0.18307272534744412, 0.018727965972514127, -0.04045861832998401, 0.024952946184545428, -0.17140930273350985, 0.13178902129213527, 0.29990773938377113, 0.11792075093470368, 0.23129895660916672, -0.36748528005737885, -0.1361061965170152, 0.16129310469270922, 0.12529783695936203, 0.11552379674771253, -0.009843470839162668, -0.29597779188086004, 0.11837221780682311, -0.12359985544839326, -0.1521604273778697, -0.09459974957337859, 0.02704397121480867, -0.008535922231043087, -0.24694601446390152, 0.052499636053778206, 0.14785914296996505, 0.13215104846612497, -0.13177160283221917, -0.019361724720939118, 0.0065790253746158935, 0.08915256280634626, -0.0034397561833554623, 0.02303325210460553, 0.006495453207297068, -0.11984400277430599, -0.14716719035241826, 0.37974121317486553, -0.023430240349661485, -0.24813338332608634, 0.16831383178485373, -0.07249159280977704, -0.16559097470313894, 0.1119634010463807, 0.1623879207763821, 0.15069890172019892, -0.14579856160151608, 0.1313406619775182, -0.0569926329212738, 0.032776961285693976, 0.1100093258325668, -0.018914315082571086, 0.10072431089721766, 0.09500259162821606, 0.07472684161335814, 0.1923066527952495, -0.02806943179309076, -0.04579073309387062, -0.33856892761062174, -0.2217879879046414, -0.10606049333571219, 0.0559751596256141, -0.09749229979049642, -0.12896324334410475, 0.41319528363608554, 0.09712634368356791, 0.16986387905975184, 0.08703864831477404, 0.26986122971364096, 0.09599437320709922, 0.016539819693813722, 0.026435561624227787, 0.17628222128077337, 0.20750006851192346, 0.021697140919665497, -0.1477873065581947, -0.01488065642907339, 0.198160917269906] |
710.2663 | A State Sum Link Invariant of Regular Isotopy | This paper has been withdrawn because there is a fundamental error in the
computations; with the right computational scheme it seems to be just a version
of the Jones polynomial
| math.GT math.CO | this paper has been withdrawn because there is a fundamental error in the computations with the right computational scheme it seems to be just a version of the jones polynomial | [['this', 'paper', 'has', 'been', 'withdrawn', 'because', 'there', 'is', 'a', 'fundamental', 'error', 'in', 'the', 'computations', 'with', 'the', 'right', 'computational', 'scheme', 'it', 'seems', 'to', 'be', 'just', 'a', 'version', 'of', 'the', 'jones', 'polynomial']] | [-0.11086263985683521, 0.015422184858471156, -0.15593986213207245, 0.009335202599565188, -0.0838366488305231, -0.1535982468165457, 0.003680686594452709, 0.3542372896025578, -0.33182427609960236, -0.30524486711559196, 0.16356546538493907, -0.2113304081062476, -0.15302882202280063, 0.17828086259153983, -0.20469347015023232, 0.04437951132034262, 0.057034876725325985, 0.05641515118380388, -0.04883597776060924, -0.33241227449228367, 0.2069429929057757, 0.10390991798291603, 0.1996151177212596, 0.12704072156144927, 0.08011950251335899, -0.09607371365030606, -0.038286103618641695, -0.018560970108956097, -0.0987757912526528, 0.1220349117104585, 0.2478569376592835, 0.0815879275634264, 0.37957113099594914, -0.34573706627512973, -0.13998628904422125, 0.19705207604759684, 0.18353940658271312, 0.1381582859903574, -0.05117111324022214, -0.25470688566565514, 0.1527049163201203, -0.2183205895125866, -0.12001008220637838, -0.024942076361427704, 0.07178000779822469, -0.10355665273964405, -0.2273429214954376, 0.03883373904973268, 0.06800454578672846, 0.09552939257894953, 0.0996686479387184, -0.09047438018023968, 0.07983044808109602, 0.08586013177409768, 0.09715846252292977, 0.11157492441125214, 0.028821339597925544, -0.1191117498325184, -0.09338774637629589, 0.4572504909709096, 0.04106790069490671, -0.27312594633549453, 0.14581982120871545, -0.09583483633274834, -0.1597667376510799, 0.14458480601509413, 0.06041159852175042, 0.062150880508124826, -0.13058691360056401, 0.17247933534284432, -0.11304256382087867, 0.21666932937999567, 0.11313340468332171, -0.012026801022390525, 0.13443789553518096, 0.17599209543938438, 0.07241334648181995, 0.12799465901140744, 0.005516862124204635, -0.07593375109136105, -0.2721861454347769, -0.22417681729421018, -0.2246312729626273, 0.05004097913285174, 0.02158974107975761, -0.16611313009634615, 0.3904220406241317, 0.13766381687795123, 0.12437618946035703, 0.04236197682718436, 0.3430744127680858, 0.20638438186530644, 0.10939759289224943, 0.10362215953258176, 0.23885266048212847, 0.16108395593861738, 0.14044500663876533, -0.10693241173091034, 0.158015368009607, 0.13755976169680556] |
710.2664 | Reconstructing Images from Projections Using the Maximum-Entropy Method.
Numerical Simulations of Low-Aspect Astrotomography | The reconstruction of images from a small number of projections using the
maximum-entropy method (MEM) with the Shannon entropy is considered. MEM
provides higher-quality image reconstruction for sources with extended
components than the Hogbom CLEAN method, which is also used in low-aspect
astrotomography. The quality of image reconstruction for sources with mixed
structure containing bright, compact features embedded in a comparatively weak,
extended base can be further improved using a difference-mapping method, which
requires a generalization of MEM for the reconstruction of sign-variable
functions.We draw conclusions based on the results of numerical simulations for
a number of model radio sources with various morphologies.
| astro-ph | the reconstruction of images from a small number of projections using the maximumentropy method mem with the shannon entropy is considered mem provides higherquality image reconstruction for sources with extended components than the hogbom clean method which is also used in lowaspect astrotomography the quality of image reconstruction for sources with mixed structure containing bright compact features embedded in a comparatively weak extended base can be further improved using a differencemapping method which requires a generalization of mem for the reconstruction of signvariable functionswe draw conclusions based on the results of numerical simulations for a number of model radio sources with various morphologies | [['the', 'reconstruction', 'of', 'images', 'from', 'a', 'small', 'number', 'of', 'projections', 'using', 'the', 'maximumentropy', 'method', 'mem', 'with', 'the', 'shannon', 'entropy', 'is', 'considered', 'mem', 'provides', 'higherquality', 'image', 'reconstruction', 'for', 'sources', 'with', 'extended', 'components', 'than', 'the', 'hogbom', 'clean', 'method', 'which', 'is', 'also', 'used', 'in', 'lowaspect', 'astrotomography', 'the', 'quality', 'of', 'image', 'reconstruction', 'for', 'sources', 'with', 'mixed', 'structure', 'containing', 'bright', 'compact', 'features', 'embedded', 'in', 'a', 'comparatively', 'weak', 'extended', 'base', 'can', 'be', 'further', 'improved', 'using', 'a', 'differencemapping', 'method', 'which', 'requires', 'a', 'generalization', 'of', 'mem', 'for', 'the', 'reconstruction', 'of', 'signvariable', 'functionswe', 'draw', 'conclusions', 'based', 'on', 'the', 'results', 'of', 'numerical', 'simulations', 'for', 'a', 'number', 'of', 'model', 'radio', 'sources', 'with', 'various', 'morphologies']] | [-0.01924115976337159, -0.002970051610528833, -0.12235450948413351, 0.06906934504139026, -0.03983363603463046, -0.11880132412574816, 0.018856694857304047, 0.3811060880670453, -0.20207449214735834, -0.31746801467483293, 0.12205999300095925, -0.26772129231381536, -0.09205152100818877, 0.25357730595607053, -0.054748506156155965, 0.0537800347331063, 0.11587963494850267, 0.005156158571048538, -0.10422492277402763, -0.2161527212022223, 0.27748024597588816, 0.07382229412214296, 0.2929981433887883, 0.005294249236288637, 0.095053631330536, -0.015499185821465632, -0.0686070130988702, 0.08163743484580871, -0.044335340500099234, 0.18165528764118358, 0.23812852248014643, 0.15855067828209093, 0.20294561124139346, -0.3591489647469013, -0.24873554855492888, 0.06875645960819456, 0.12065701318978525, 0.10137698161969017, -0.10382057395925064, -0.3049648948899, 0.12328934036471909, -0.14968033183578144, -0.08584128161615664, -0.06742789911677932, -0.024523795062519314, 0.0182630728831109, -0.3052683638380397, 0.09828543786327171, 0.025172621703310177, 0.04840504753447742, -0.05905245487937833, -0.12245812162867573, -0.0167458542578826, 0.08743748883140448, -0.040141205936163146, 0.052204935502556, 0.09128270443012514, -0.13749540963274712, -0.0914893286477885, 0.3663022823189155, -0.06949900741539641, -0.2426299814061068, 0.2061073677268543, -0.08611212767623734, -0.15815975755397785, 0.19298137789868777, 0.17958021761231716, 0.1437822429297289, -0.11220412771966733, 0.021962146629754563, -0.03795550087937108, 0.1888485687005675, 0.036377576059929216, 0.0423180808377738, 0.17506342195896524, 0.1769575963492994, 0.04322603060614656, 0.20284150841549076, -0.19699946129095214, -0.01856913351099984, -0.25736753383448513, -0.12746311859043297, -0.2106847328106218, 0.03843720307075741, -0.1124894060609438, -0.17819040472069433, 0.40338087830655645, 0.16486410181139513, 0.18335131515223202, 0.03289640419378803, 0.3381654911646896, 0.07304343462018019, 0.08511559186171334, 0.06902589605623248, 0.20355961256946373, 0.14730437281587633, 0.05508036865843552, -0.1329807829316982, 0.036878808754228866, 0.08740729418131385] |
710.2665 | Lower bounds on the coefficients of Ehrhart polynomials | We present lower bounds for the coefficients of Ehrhart polynomials of convex
lattice polytopes in terms of their volume. Concerning the coefficients of the
Ehrhart series of a lattice polytope we show that Hibi's lower bound is not
true for lattice polytopes without interior lattice points. The counterexample
is based on a formula of the Ehrhart series of the join of two lattice
polytope. We also present a formula for calculating the Ehrhart series of
integral dilates of a polytope.
| math.MG math.CO | we present lower bounds for the coefficients of ehrhart polynomials of convex lattice polytopes in terms of their volume concerning the coefficients of the ehrhart series of a lattice polytope we show that hibis lower bound is not true for lattice polytopes without interior lattice points the counterexample is based on a formula of the ehrhart series of the join of two lattice polytope we also present a formula for calculating the ehrhart series of integral dilates of a polytope | [['we', 'present', 'lower', 'bounds', 'for', 'the', 'coefficients', 'of', 'ehrhart', 'polynomials', 'of', 'convex', 'lattice', 'polytopes', 'in', 'terms', 'of', 'their', 'volume', 'concerning', 'the', 'coefficients', 'of', 'the', 'ehrhart', 'series', 'of', 'a', 'lattice', 'polytope', 'we', 'show', 'that', 'hibis', 'lower', 'bound', 'is', 'not', 'true', 'for', 'lattice', 'polytopes', 'without', 'interior', 'lattice', 'points', 'the', 'counterexample', 'is', 'based', 'on', 'a', 'formula', 'of', 'the', 'ehrhart', 'series', 'of', 'the', 'join', 'of', 'two', 'lattice', 'polytope', 'we', 'also', 'present', 'a', 'formula', 'for', 'calculating', 'the', 'ehrhart', 'series', 'of', 'integral', 'dilates', 'of', 'a', 'polytope']] | [-0.1726857473491691, 0.03795410317834467, -0.1337463857140392, 0.0408341314381687, -0.10595223812852055, -0.0737312498036772, 0.10381148376327473, 0.32618724802741783, -0.32519481286872176, -0.13925211140885949, 0.1654122994383215, -0.3020013728761114, -0.20597840719856322, 0.17152479117503389, -0.1274117312626913, 0.06546692664269357, 0.04669370648334734, 0.034787736883299655, -0.11963838343217503, -0.40459149102971426, 0.3040613445919007, -0.010063847020501272, 0.19498490863479673, 0.168120686407201, 0.11141782409977168, 0.03289883775287308, -0.008587585343047977, 0.0216713281464763, -0.23551153417547538, 0.23295825198292733, 0.2251440415158868, 0.1070563187066, 0.1699168647523038, -0.43764655720442536, -0.04582473332993686, 0.14615708180936055, 0.11876603022683412, 0.077749352180399, -0.007328065259207506, -0.1223114400403574, 0.04253456215374172, -0.10879466000478714, -0.1750363154686056, -0.10450011943466961, 0.055955886252922936, 0.014487376390025019, -0.3047472448030021, 0.08429404665621405, 0.07939787628129125, 0.19301341554819373, -0.06706744028488174, -0.20786790711572395, 0.018440942757297307, 0.02253252892405726, -0.031450515083270146, 0.02522395919659175, 0.0024659792659804227, -0.10846344461897388, -0.2166082575917244, 0.4484517728269566, -0.018854285846464335, -0.23059723034966736, 0.03904300575668458, -0.280407337017823, -0.14553553785517578, 0.16864440790377558, 0.14184211881365627, 0.16592006161808967, -0.054804945434443655, 0.11106679595541209, -0.21839157720096408, 0.03895337610738352, 0.14093060511077055, 0.02936580316745676, 0.18943710131570696, 0.04884190685697831, 0.09440023232018575, 0.23100423244104604, 0.01896606303344015, -0.07835782922338694, -0.3211868514539674, -0.1888225188224169, -0.32764678132953123, 0.05392023265903845, -0.21254692962393165, -0.21061597026273376, 0.3336207940694294, 0.023001718177692965, 0.2025804830249399, 0.16468957597389816, 0.1873411813052371, 0.11120916550280527, 0.02901719563815277, 0.04374177615973167, 0.09328655500430613, 0.14666887368075548, 0.001839220809051767, -0.2039481928339228, 0.040079904324375096, 0.3010736189200543] |
710.2666 | Generalized Chaplygin gas as geometrical dark energy | The generalized Chaplygin gas provides an interesting candidate for the
present accelerated expansion of the universe. We explore a geometrical
explanation for the generalized Chaplygin gas within the context of brane world
theories where matter fields are confined to the brane by means of the action
of a confining potential. We obtain the modified Friedmann equations,
deceleration parameter and age of the universe in this scenario and show that
they are consistent with the present observational data.
| gr-qc | the generalized chaplygin gas provides an interesting candidate for the present accelerated expansion of the universe we explore a geometrical explanation for the generalized chaplygin gas within the context of brane world theories where matter fields are confined to the brane by means of the action of a confining potential we obtain the modified friedmann equations deceleration parameter and age of the universe in this scenario and show that they are consistent with the present observational data | [['the', 'generalized', 'chaplygin', 'gas', 'provides', 'an', 'interesting', 'candidate', 'for', 'the', 'present', 'accelerated', 'expansion', 'of', 'the', 'universe', 'we', 'explore', 'a', 'geometrical', 'explanation', 'for', 'the', 'generalized', 'chaplygin', 'gas', 'within', 'the', 'context', 'of', 'brane', 'world', 'theories', 'where', 'matter', 'fields', 'are', 'confined', 'to', 'the', 'brane', 'by', 'means', 'of', 'the', 'action', 'of', 'a', 'confining', 'potential', 'we', 'obtain', 'the', 'modified', 'friedmann', 'equations', 'deceleration', 'parameter', 'and', 'age', 'of', 'the', 'universe', 'in', 'this', 'scenario', 'and', 'show', 'that', 'they', 'are', 'consistent', 'with', 'the', 'present', 'observational', 'data']] | [-0.12196298451624, 0.11963509409798025, -0.12700824426825752, 0.10156704400297158, -0.10201739649856825, -0.12732992472441554, -0.0313778427405307, 0.3013468841937455, -0.21054146835556278, -0.2963354235829471, 0.037684030257854856, -0.21279545228734806, -0.0718334312369297, 0.14641141338733496, -0.03541007481043699, -0.023350184759149302, -0.02729356734009532, 0.02974858662331259, -0.03338454285328119, -0.287620896110674, 0.36442601876696207, 0.0860749927089344, 0.19488775869907038, 0.016063302973067607, 0.14037160640854582, -0.10796264223391552, -0.012299788733279067, 0.038313622477573236, -0.20702407623132066, 0.09064245689660311, 0.1720974549058486, 0.13772182978157485, 0.20534675351235193, -0.43014581670815294, -0.29227939589166796, 0.10366325005405135, 0.1758435623684003, 0.12386206097223541, -0.11555929939177903, -0.30899363611038627, -0.0180185939390938, -0.21305499035357076, -0.2010539594082186, -0.06687794895479818, -0.00017344827654880362, -0.016785634657392252, -0.23001512275500732, 0.1681953187723487, -0.0292797329965616, -0.030487679670770446, -0.16625949976566648, -0.05112023625595422, 0.026675673764102258, 0.001317601009913079, 0.08181283748466764, 0.022606732843854983, 0.1285933545584996, -0.1924182831426151, -0.06075551388664292, 0.4569345914407984, -0.12209063013652702, -0.16489526224866896, 0.14925479685113607, -0.1427997728543622, -0.12414189212798298, 0.035466512716556715, 0.10978474608295924, 0.0851885060743465, -0.17408435382311802, 0.15574066712091642, -0.030572480812378518, 0.11177808401936834, 0.06078862083483149, 0.00023732764507317311, 0.31946212309715033, 0.1354688329307677, -0.012920493260025978, 0.17041975485354469, -0.05499386375576451, -0.15004047489567818, -0.3816229362863225, -0.19522921864983517, -0.11308724191281702, 0.021423593602693556, -0.1885250771109033, -0.17411998560192524, 0.35426477584745975, 0.14752526265605317, 0.19713326220025684, -0.005483638858059784, 0.2563838461873593, 0.06696668559951442, 0.010436311993119004, 0.09606960350526618, 0.28043204714701353, 0.10842826419703469, 0.1143435411421316, -0.2264733739414966, -0.008280874973816145, 0.07248325320565469] |
710.2667 | On the generalized Jacobi equation | The standard text-book Jacobi equation (equation of geodesic deviation)
arises by linearizing the geodesic equation around some chosen geodesic, where
the linearization is done with respect to the coordinates and the velocities.
The generalized Jacobi equation, introduced by Hodgkinson in 1972 and further
developed by Mashhoon and others, arises if the linearization is done only with
respect to the coordinates, but not with respect to the velocities. The
resulting equation has been studied by several authors in some detail for
timelike geodesics in a Lorentzian manifold. Here we begin by briefly
considering the generalized Jacobi equation on affine manifolds, without a
metric; then we specify to lightlike geodesics in a Lorentzian manifold. We
illustrate the latter case by considering particular lightlike geodesics (a) in
Schwarzschild spacetime and (b) in a plane-wave spacetime.
| gr-qc | the standard textbook jacobi equation equation of geodesic deviation arises by linearizing the geodesic equation around some chosen geodesic where the linearization is done with respect to the coordinates and the velocities the generalized jacobi equation introduced by hodgkinson in 1972 and further developed by mashhoon and others arises if the linearization is done only with respect to the coordinates but not with respect to the velocities the resulting equation has been studied by several authors in some detail for timelike geodesics in a lorentzian manifold here we begin by briefly considering the generalized jacobi equation on affine manifolds without a metric then we specify to lightlike geodesics in a lorentzian manifold we illustrate the latter case by considering particular lightlike geodesics a in schwarzschild spacetime and b in a planewave spacetime | [['the', 'standard', 'textbook', 'jacobi', 'equation', 'equation', 'of', 'geodesic', 'deviation', 'arises', 'by', 'linearizing', 'the', 'geodesic', 'equation', 'around', 'some', 'chosen', 'geodesic', 'where', 'the', 'linearization', 'is', 'done', 'with', 'respect', 'to', 'the', 'coordinates', 'and', 'the', 'velocities', 'the', 'generalized', 'jacobi', 'equation', 'introduced', 'by', 'hodgkinson', 'in', '1972', 'and', 'further', 'developed', 'by', 'mashhoon', 'and', 'others', 'arises', 'if', 'the', 'linearization', 'is', 'done', 'only', 'with', 'respect', 'to', 'the', 'coordinates', 'but', 'not', 'with', 'respect', 'to', 'the', 'velocities', 'the', 'resulting', 'equation', 'has', 'been', 'studied', 'by', 'several', 'authors', 'in', 'some', 'detail', 'for', 'timelike', 'geodesics', 'in', 'a', 'lorentzian', 'manifold', 'here', 'we', 'begin', 'by', 'briefly', 'considering', 'the', 'generalized', 'jacobi', 'equation', 'on', 'affine', 'manifolds', 'without', 'a', 'metric', 'then', 'we', 'specify', 'to', 'lightlike', 'geodesics', 'in', 'a', 'lorentzian', 'manifold', 'we', 'illustrate', 'the', 'latter', 'case', 'by', 'considering', 'particular', 'lightlike', 'geodesics', 'a', 'in', 'schwarzschild', 'spacetime', 'and', 'b', 'in', 'a', 'planewave', 'spacetime']] | [-0.15455695348151938, 0.09207809939518401, -0.08691037090793821, 0.07850946217441206, -0.13885990795075098, -0.14566615972852776, -0.02355300805723394, 0.34330494098990927, -0.2534024134591108, -0.20732395934209383, 0.06200882205064231, -0.305408175586801, -0.14894820488136234, 0.15866125038050058, -0.10757957998119323, 0.07869196399150573, 0.05237692345701556, 0.10120858523625, -0.14376039269828159, -0.22537166177551085, 0.4251335443402747, 0.050687086155268415, 0.20035857846960425, -0.01272722838787746, 0.15853422231446127, 0.014804512120157707, -0.028631706148002097, 0.06650380828268541, -0.15853824179249865, 0.0582995421772126, 0.19228227982539256, 0.08879129266018006, 0.22087991708989135, -0.3927357781266097, -0.22539602658704264, 0.09022544006610872, 0.18407176313779622, 0.07489356143357417, -0.01891014127519323, -0.34894594726266465, 0.03832199881990789, -0.10045276414460809, -0.2521133853321653, -0.05823098093925314, 0.021988768457570147, 0.0008283774012998315, -0.13907268817202395, 0.06964606018239305, 0.09360545545724, 0.051065358710084253, -0.07645469376522308, -0.05282917153801172, -0.03455475946703485, -0.003666246245892448, 0.10654711492629793, 0.037744902085001, 0.05791502643220184, -0.02988707389014254, -0.07937133129515493, 0.425396240565158, -0.0932881132351192, -0.3614267821046915, 0.06602507412526046, -0.15555873604932133, -0.09545178492446892, 0.08679472988485608, 0.10749041865657986, 0.17421414211164904, -0.19807108213684257, 0.19954385601147612, -0.009891931395906642, 0.040022907224092776, 0.1863052169685714, -0.08659280887058446, 0.12523354602024983, 0.03630755544561921, 0.03484171124544876, 0.1137855620699302, -0.03038317183892861, -0.15236841968282033, -0.3425250962405032, -0.16224899174794838, -0.1468314375472433, 0.10796445296583644, -0.13649707782670556, -0.14545545041674876, 0.3689647399969683, 0.06013803170346975, 0.17502145909967312, 0.032299257506961214, 0.24841024276075302, 0.13200095772231354, 0.01283661873152707, 0.14035115453222666, 0.2642999366765579, 0.17917948849285945, 0.09805830315338405, -0.1807052501200037, -0.03711688038999684, 0.1468646835308266] |
710.2668 | An Imaging and Spectral Study of Ten X-Ray Filaments around the Galactic
Center | We report the detection of 10 new X-ray filaments using the data from the
{\sl Chandra} X-ray satellite for the inner $6^{\prime}$ ($\sim 15$ parsec)
around the Galactic center (GC). All these X-ray filaments are characterized by
non-thermal energy spectra, and most of them have point-like features at their
heads that point inward. Fitted with the simple absorbed power-law model, the
measured X-ray flux from an individual filament in the 2-10 keV band is $\sim
2.8\times10^{-14}$ to $10^{-13}$ ergs cm$^{-2}$ s$^{-1}$ and the
absorption-corrected X-ray luminosity is $\sim 10^{32}-10^{33}$ ergs s$^{-1}$
at a presumed distance of 8 kpc to the GC. We speculate the origin(s) of these
filaments by morphologies and by comparing their X-ray images with the
corresponding radio and infrared images. On the basis of combined information
available, we suspect that these X-ray filaments might be pulsar wind nebulae
(PWNe) associated with pulsars of age $10^3 \sim 3\times 10^5$ yr. The fact
that most of the filament tails point outward may further suggest a high
velocity wind blowing away form the GC.
| astro-ph | we report the detection of 10 new xray filaments using the data from the sl chandra xray satellite for the inner 6prime sim 15 parsec around the galactic center gc all these xray filaments are characterized by nonthermal energy spectra and most of them have pointlike features at their heads that point inward fitted with the simple absorbed powerlaw model the measured xray flux from an individual filament in the 210 kev band is sim 28times1014 to 1013 ergs cm2 s1 and the absorptioncorrected xray luminosity is sim 10321033 ergs s1 at a presumed distance of 8 kpc to the gc we speculate the origins of these filaments by morphologies and by comparing their xray images with the corresponding radio and infrared images on the basis of combined information available we suspect that these xray filaments might be pulsar wind nebulae pwne associated with pulsars of age 103 sim 3times 105 yr the fact that most of the filament tails point outward may further suggest a high velocity wind blowing away form the gc | [['we', 'report', 'the', 'detection', 'of', '10', 'new', 'xray', 'filaments', 'using', 'the', 'data', 'from', 'the', 'sl', 'chandra', 'xray', 'satellite', 'for', 'the', 'inner', '6prime', 'sim', '15', 'parsec', 'around', 'the', 'galactic', 'center', 'gc', 'all', 'these', 'xray', 'filaments', 'are', 'characterized', 'by', 'nonthermal', 'energy', 'spectra', 'and', 'most', 'of', 'them', 'have', 'pointlike', 'features', 'at', 'their', 'heads', 'that', 'point', 'inward', 'fitted', 'with', 'the', 'simple', 'absorbed', 'powerlaw', 'model', 'the', 'measured', 'xray', 'flux', 'from', 'an', 'individual', 'filament', 'in', 'the', '210', 'kev', 'band', 'is', 'sim', '28times1014', 'to', '1013', 'ergs', 'cm2', 's1', 'and', 'the', 'absorptioncorrected', 'xray', 'luminosity', 'is', 'sim', '10321033', 'ergs', 's1', 'at', 'a', 'presumed', 'distance', 'of', '8', 'kpc', 'to', 'the', 'gc', 'we', 'speculate', 'the', 'origins', 'of', 'these', 'filaments', 'by', 'morphologies', 'and', 'by', 'comparing', 'their', 'xray', 'images', 'with', 'the', 'corresponding', 'radio', 'and', 'infrared', 'images', 'on', 'the', 'basis', 'of', 'combined', 'information', 'available', 'we', 'suspect', 'that', 'these', 'xray', 'filaments', 'might', 'be', 'pulsar', 'wind', 'nebulae', 'pwne', 'associated', 'with', 'pulsars', 'of', 'age', '103', 'sim', '3times', '105', 'yr', 'the', 'fact', 'that', 'most', 'of', 'the', 'filament', 'tails', 'point', 'outward', 'may', 'further', 'suggest', 'a', 'high', 'velocity', 'wind', 'blowing', 'away', 'form', 'the', 'gc']] | [-0.06049572005652623, 0.14979957578701406, -0.025226912780185743, 0.11768923209565611, -0.09797577728312785, -0.04558869246178107, 0.05080109103340548, 0.4861411777556459, -0.19900779394739754, -0.3708656169447208, 0.07239502808819337, -0.36191272932626956, 0.03183029934419373, 0.23264804230249256, 0.01919905100868358, -0.06171800262251643, 0.04457695721689009, -0.07711145600487042, -0.043069299833978274, -0.19967838390143197, 0.2370501764608558, 0.09274424007196098, 0.15353711303915676, -0.003035939163985969, 0.1068652213525533, -0.11489456717457859, -0.02302366544024358, -0.0437328466194052, -0.1230835011275603, 0.07429506618669526, 0.20955034055897825, 0.10358183877105216, 0.18871329120943064, -0.40820647667382837, -0.18907515374631378, 0.013867588194270182, 0.22362714163108455, -0.09448756357773364, 0.002850644230557272, -0.2720481332316133, 0.08752347305760251, -0.22850282706193778, -0.2223394927191898, 0.11480443334110038, 0.04736961655431788, 0.053082491055863094, -0.1309168648992186, 0.18325667851469937, -0.030665629288999935, 0.07581108117965993, -0.174462832879232, -0.08278217493701791, -0.04885731039924084, 0.0036249129273901786, 0.06910785852535763, 0.09160896927330944, 0.24809932421604872, -0.13809472955951757, -0.05332619340745786, 0.36053798000080606, -0.0031863331271206282, 0.07254872837667811, 0.20757075677211315, -0.22660089721580204, -0.18765785783997635, 0.23611349223795308, 0.09193294608664047, 0.05683441199577613, -0.1596868499155248, -0.013462321956593522, -0.049955954020196904, 0.24609440384934672, 0.06850189193706378, 0.044271538863120054, 0.34530164264788515, 0.05944685937972696, 0.013212983500524666, 0.10321966008245514, -0.3201958182208291, 0.05133872059095823, -0.23241008227324986, -0.036530345886262035, -0.11911334953610005, 0.1501720025085688, -0.18434648235386367, -0.08270830891992274, 0.32418399686236044, 0.1115249439009406, 0.26080631068100174, 0.03528658338994692, 0.2805694642482121, 0.11390855178947566, 0.09521584075941526, 0.1953088724285881, 0.30631790113651514, 0.14436952069649375, 0.08945272403171642, -0.19550668919523587, 0.022106052177145303, -0.020502131833355725] |
710.2669 | Probing CP properties of the Higgs Boson via \boldmath{e^+e^-\to t
\bar{t}\phi | One of the main endeavors at future high-energy colliders is the search for
the Higgs boson(s) and, once found, the probe of the fundamental properties. In
particular, the charge conjugation and parity (CP) quantum numbers have to be
determined. We show that these are unambiguously accessible at future $e^+e^-$
colliders through the measurement of the total cross section and the top
polarization in associated Higgs production with top quark pairs.
| hep-ph | one of the main endeavors at future highenergy colliders is the search for the higgs bosons and once found the probe of the fundamental properties in particular the charge conjugation and parity cp quantum numbers have to be determined we show that these are unambiguously accessible at future ee colliders through the measurement of the total cross section and the top polarization in associated higgs production with top quark pairs | [['one', 'of', 'the', 'main', 'endeavors', 'at', 'future', 'highenergy', 'colliders', 'is', 'the', 'search', 'for', 'the', 'higgs', 'bosons', 'and', 'once', 'found', 'the', 'probe', 'of', 'the', 'fundamental', 'properties', 'in', 'particular', 'the', 'charge', 'conjugation', 'and', 'parity', 'cp', 'quantum', 'numbers', 'have', 'to', 'be', 'determined', 'we', 'show', 'that', 'these', 'are', 'unambiguously', 'accessible', 'at', 'future', 'ee', 'colliders', 'through', 'the', 'measurement', 'of', 'the', 'total', 'cross', 'section', 'and', 'the', 'top', 'polarization', 'in', 'associated', 'higgs', 'production', 'with', 'top', 'quark', 'pairs']] | [-0.10424236197224153, 0.23663380171305368, -0.05861308708055211, 0.10936647771491802, -0.03061614776296275, -0.1503495822660625, 0.02552856532524207, 0.32115519350128513, -0.2732901155815593, -0.26698877695681794, 0.02166612358830337, -0.32892186168714294, 0.0020444761695606367, 0.18812191573836443, 0.1301313170631017, 0.0961231654443379, 0.07429352799829628, 0.044914372471560327, -0.0209368713499446, -0.2790789640641638, 0.30582227906478304, 0.0665628320720446, 0.22838895682777677, 0.1684790793340653, 0.03060289868818862, 0.062115583808294364, -0.058229934965493155, -0.06613929122686386, -0.0779840656187194, 0.1122404401739394, 0.24674491303157992, 0.07290876286569983, 0.11026377117128244, -0.33162036524819477, -0.07457786895268198, 0.15263377890389945, 0.1095566856807896, 0.09180807750672101, -0.08539694934817298, -0.297899769219969, 0.13902717990900523, -0.17309662087022193, -0.10689444200002722, -0.05812322215310165, -0.012073373441983547, -0.02844656194959368, -0.24562108615147216, 0.02341916668228805, -0.08277940271156174, 0.02125909848338259, 0.03642967964322971, -0.16360357835489725, -0.12026371143625252, 0.0570805986312085, 0.10151372614117073, 0.007680639099063618, 0.1735373780064817, -0.19216491507831962, -0.22399223478777067, 0.41463278430913175, -0.06620540417996901, -0.16720431783095202, 0.17833363530891283, -0.254404071645279, -0.1668126008307029, 0.11131842751721187, 0.2308816728049091, 0.0910833974668224, -0.1522770797368139, 0.13494506589818878, -0.005087236667584096, 0.12454686454896416, 0.09315040006435343, 0.10492927177276995, 0.336264398707343, 0.1819420853862539, 0.052484005466768784, 0.051663026251896685, -0.10520606265885622, -0.05838002791362149, -0.4503859047578382, -0.20872283298522235, -0.09137228420004248, 0.04341702163884682, 0.01100989388630426, -0.04326965444322143, 0.4032211315552039, 0.12164985320663878, 0.24643347723675627, -0.043922400168542354, 0.3078423814049789, 0.1303535192140511, 0.08825812331134719, 0.023743682760479196, 0.3541153689613566, 0.14592849189149482, 0.12675095134493727, -0.2452483594218003, 0.04327749949879944, 0.035329767715718066] |
710.267 | Search for Chargino-Neutralino Pair Production at CDF | We present the results of a search for associated production of the lightest
chargino and next-to-lightest neutralino using 1 fb$^{-1}$ of $\sqrt s$ = 1.96
TeV p$\rm \bar p$ data collected with the CDF detector at the Tevatron. We
combine the results of several multi-lepton final states to set upper limits on
the cross section times branching ratio for chargino-neutralino production as a
function of the chargino mass.
| hep-ex | we present the results of a search for associated production of the lightest chargino and nexttolightest neutralino using 1 fb1 of sqrt s 196 tev prm bar p data collected with the cdf detector at the tevatron we combine the results of several multilepton final states to set upper limits on the cross section times branching ratio for charginoneutralino production as a function of the chargino mass | [['we', 'present', 'the', 'results', 'of', 'a', 'search', 'for', 'associated', 'production', 'of', 'the', 'lightest', 'chargino', 'and', 'nexttolightest', 'neutralino', 'using', '1', 'fb1', 'of', 'sqrt', 's', '196', 'tev', 'prm', 'bar', 'p', 'data', 'collected', 'with', 'the', 'cdf', 'detector', 'at', 'the', 'tevatron', 'we', 'combine', 'the', 'results', 'of', 'several', 'multilepton', 'final', 'states', 'to', 'set', 'upper', 'limits', 'on', 'the', 'cross', 'section', 'times', 'branching', 'ratio', 'for', 'charginoneutralino', 'production', 'as', 'a', 'function', 'of', 'the', 'chargino', 'mass']] | [-0.060331752354369515, 0.21081066591692948, -0.0458606854498164, 0.15695334601202118, -0.004363843642953617, -0.11560335281346716, 0.07207996524529837, 0.27866136113445816, -0.17865409318413308, -0.3352781980117755, 0.0075384237553312704, -0.40954394321610676, 0.1499903842480158, 0.17834712912627398, 0.11736223125246478, 0.16649966428417767, 0.1943943891952287, -0.011445938915347875, -0.055110715426949425, -0.2765071310742355, 0.251098159533828, 0.02978134723797218, 0.155616373310227, 0.14074984552866932, 0.03372162821139695, 0.03266429729106377, -0.021230315419483874, -0.17578579354753246, -0.18611858787237487, 0.07938688196530287, 0.23910432560160869, 0.1924408707809426, 0.05565085982097619, -0.2957599315698495, 0.04309030495750815, 0.21749405877025269, 0.15558606061611824, -0.003680533048377108, -0.060783584826320076, -0.3767786768626477, 0.1800148989935753, -0.2705303350769317, -0.04320388850964495, 0.07420183230128918, 0.04271057349587999, -0.11331255150152676, -0.3491976989238565, 0.09665625962192442, -0.1046660864975915, 0.025578745852360057, 0.004671945900364376, -0.30290347926402045, -0.14310344529977598, -0.09777175678190456, 0.12037085512402787, 0.0006751222674971196, 0.25004695618608547, -0.1673762693639789, -0.2704354903257605, 0.2937293975933719, -0.12997946462163062, -0.14058267393969556, 0.1943808604351509, -0.15581534599968747, -0.140638073835932, 0.18998249787003246, 0.3478884769520208, 0.10127833479000672, -0.18082588724792004, 0.16303640402377403, -0.03460869480814062, 0.20044965982965346, 0.11698494923870954, 0.04423598900312252, 0.1705826223856568, 0.2860136165547727, 0.06832657173387151, 0.05988154130112102, -0.18500959902129538, -0.01969944528623748, -0.5282980267848096, -0.12999356648217497, -0.05444820934677246, 0.059619915638633295, -0.04510943501307664, -0.020216111316164926, 0.3510706568998632, 0.09752508259809284, 0.4116824141411639, 0.08866199848256004, 0.2845635263999896, 0.11188384863819906, 0.013878361815447682, 0.06283431047392982, 0.30018352255669994, 0.1352320726328432, 0.13683473688564193, -0.20692475596025808, -0.002030178591775805, 0.05926428862444278] |
710.2671 | Sets non-thin at \infty in \Bbb C ^m, and the growth of sequences of
entire functions of genus zero | In this paper we define the notion of non-thin at $\infty$ as follows: Let
$E$ be a subset of $\Bbb C^m$. For any $R>0$ define $E_R=E\cap \{z\in \Bbb C ^m
:|z|\leq R\}$. We say that $E$ is non-thin at $\infty$ if
\lim_{R\to\infty}V_{E_R}(z)=0
for all $z\in \Bbb C^m$, where $V_E$ is the pluricomplex Green function of
$E$.
This definition of non-thin at $\infty$ has good properties: If $E\subset
\Bbb C^m$ is non-thin at $\infty$ and $A$ is pluripolar then $E\backslash A$ is
non-thin at $\infty$, if $E\subset \Bbb C^m$ and $F\subset \Bbb C^n$ are closed
sets non-thin at $\infty$ then $E\times F\subset \Bbb C^m\times \Bbb C^n$ is
non-thin at $\infty$ (see Lemma \ref{Lem1}).
Then we explore the properties of non-thin at $\infty$ sets and apply this to
extend the results in \cite{mul-yav} and \cite{trong-tuyen}.
| math.CV math.DS | in this paper we define the notion of nonthin at infty as follows let e be a subset of bbb cm for any r0 define e_recap zin bbb c m zleq r we say that e is nonthin at infty if lim_rtoinftyv_e_rz0 for all zin bbb cm where v_e is the pluricomplex green function of e this definition of nonthin at infty has good properties if esubset bbb cm is nonthin at infty and a is pluripolar then ebackslash a is nonthin at infty if esubset bbb cm and fsubset bbb cn are closed sets nonthin at infty then etimes fsubset bbb cmtimes bbb cn is nonthin at infty see lemma reflem1 then we explore the properties of nonthin at infty sets and apply this to extend the results in citemulyav and citetrongtuyen | [['in', 'this', 'paper', 'we', 'define', 'the', 'notion', 'of', 'nonthin', 'at', 'infty', 'as', 'follows', 'let', 'e', 'be', 'a', 'subset', 'of', 'bbb', 'cm', 'for', 'any', 'r0', 'define', 'e_recap', 'zin', 'bbb', 'c', 'm', 'zleq', 'r', 'we', 'say', 'that', 'e', 'is', 'nonthin', 'at', 'infty', 'if', 'lim_rtoinftyv_e_rz0', 'for', 'all', 'zin', 'bbb', 'cm', 'where', 'v_e', 'is', 'the', 'pluricomplex', 'green', 'function', 'of', 'e', 'this', 'definition', 'of', 'nonthin', 'at', 'infty', 'has', 'good', 'properties', 'if', 'esubset', 'bbb', 'cm', 'is', 'nonthin', 'at', 'infty', 'and', 'a', 'is', 'pluripolar', 'then', 'ebackslash', 'a', 'is', 'nonthin', 'at', 'infty', 'if', 'esubset', 'bbb', 'cm', 'and', 'fsubset', 'bbb', 'cn', 'are', 'closed', 'sets', 'nonthin', 'at', 'infty', 'then', 'etimes', 'fsubset', 'bbb', 'cmtimes', 'bbb', 'cn', 'is', 'nonthin', 'at', 'infty', 'see', 'lemma', 'reflem1', 'then', 'we', 'explore', 'the', 'properties', 'of', 'nonthin', 'at', 'infty', 'sets', 'and', 'apply', 'this', 'to', 'extend', 'the', 'results', 'in', 'citemulyav', 'and', 'citetrongtuyen']] | [-0.16782485522095145, 0.0705303628122302, -0.04054890986619972, -0.01074056749829773, 0.0298695190732668, -0.16992537940185018, -0.03650213493763902, 0.3459398537786223, -0.29187652220817534, -0.05377179577061632, 0.06348000775736676, -0.3902769953903456, -0.039258834806923555, 0.15497464107122183, -0.09401301074567742, -0.05364651225257929, -0.01793793283080257, 0.06671814522962635, -0.035405320436217066, -0.23209291636415824, 0.30949820021321395, -0.10710176923055584, 0.15250280244994585, 0.09888235690790838, 0.06652191948277626, -0.04739204349406943, 0.060892986476524025, -0.02473385363824548, -0.31849209935154343, -0.03702652827638576, 0.3056169639480865, 0.18035098765133403, 0.2754170776704165, -0.3155188435453951, -0.11796727098935232, 0.2904555531379979, 0.18890856589579325, -0.14823796640436246, 0.08219985374594181, -0.21428992286852494, 0.24554430840786282, -0.07917017598203786, -0.2216850444087832, 0.012162524048150995, 0.23498328842633354, 0.058087688768062536, -0.3873714507799449, -0.013310804484617404, 0.11509571050653072, 0.13893278598360073, -0.009675192936345584, -0.15623809741149972, -0.07063755198880502, 0.013658405255936966, -0.05640312949723498, 0.26982866626555524, 0.0739038060639259, 0.04490278292205331, -0.006010849362488572, 0.3912778155599523, -0.1163664066680069, -0.2289798851234941, 0.13145892220497954, -0.25469443540814823, -0.19786254984993987, 0.10214357372872003, 0.11543619306024722, 0.1549376028729236, -0.0008234968812270896, 0.34631503548465786, -0.12901294003098682, 0.07908130269937629, 0.14708269502248938, -0.0072378567117449685, 0.10770900672902976, 0.04859093210007262, 0.12098343391338084, 0.0894180552705785, -0.04692209705593079, 0.14552102170107284, -0.4449442605686, -0.1686546510804122, -0.16290146534378808, 0.25359211416225735, -0.10210746260475383, -0.09772936259873036, 0.2445154840229299, 0.059126153104300576, 0.2196583708117562, 0.17882805133575763, 0.15885323213904226, 0.07534126190039674, -0.012819153545461008, 0.11712108044995098, 0.04383852896757248, 0.10771238724847772, 0.004787843821086283, -0.10911181310052419, -0.05005575979392477, 0.14759940824904075] |
710.2672 | A Method of Experimentally Probing Transeverse Momentum Dependent
Distributions | We calculate the double spin asymmetry A_LL(x, y, z, P_hT) of pi^0 production
with the spectator model and the model based on the factorization ansatz. We
also calculate the double spin asymmetry for the integration over the range of
(x,y,z) for the setups of the experiments of COMPASS, HERMES, and JLab. We find
that the results are characteristically dependent on the model used. Therefore,
we suggest that the measurements of the double spin asymmetry provides a method
of experimentally probing the transeverse momentum dependent distributions.
| hep-ph | we calculate the double spin asymmetry a_llx y z p_ht of pi0 production with the spectator model and the model based on the factorization ansatz we also calculate the double spin asymmetry for the integration over the range of xyz for the setups of the experiments of compass hermes and jlab we find that the results are characteristically dependent on the model used therefore we suggest that the measurements of the double spin asymmetry provides a method of experimentally probing the transeverse momentum dependent distributions | [['we', 'calculate', 'the', 'double', 'spin', 'asymmetry', 'a_llx', 'y', 'z', 'p_ht', 'of', 'pi0', 'production', 'with', 'the', 'spectator', 'model', 'and', 'the', 'model', 'based', 'on', 'the', 'factorization', 'ansatz', 'we', 'also', 'calculate', 'the', 'double', 'spin', 'asymmetry', 'for', 'the', 'integration', 'over', 'the', 'range', 'of', 'xyz', 'for', 'the', 'setups', 'of', 'the', 'experiments', 'of', 'compass', 'hermes', 'and', 'jlab', 'we', 'find', 'that', 'the', 'results', 'are', 'characteristically', 'dependent', 'on', 'the', 'model', 'used', 'therefore', 'we', 'suggest', 'that', 'the', 'measurements', 'of', 'the', 'double', 'spin', 'asymmetry', 'provides', 'a', 'method', 'of', 'experimentally', 'probing', 'the', 'transeverse', 'momentum', 'dependent', 'distributions']] | [-0.10073022577784113, 0.17293122271630204, -0.14313952455164067, 0.09543094040626394, -0.02226803213402274, -0.0999245712106737, 0.03145267329333971, 0.3639417935961059, -0.22374314706151685, -0.24343795403616414, -0.02410844444031162, -0.2921356824781036, -0.058518415316939354, 0.2263531956982444, 0.13046487949655525, 0.026791687433918316, 0.03563063661567867, -0.01175846242057603, -0.10599907943036496, -0.19691778374059746, 0.32211541256956044, 0.040801201826460395, 0.2836625303940049, 0.11333101695137364, 0.1299299072208149, 0.09582309221981891, -0.04827448473120707, -0.029112868487746232, -0.1642372834759867, 0.09470189940406099, 0.16732997012080714, 0.05525797464707423, 0.08394432953459077, -0.36125642380544115, -0.11740405381368917, 0.08548602710721925, 0.1317223331480775, 0.11585545155685395, -0.05976774589258379, -0.2541340516569714, 0.05457714321632271, -0.21658502821810544, -0.12665863816315928, -0.1144902538009254, -0.0019337417047825597, 0.016425367821717544, -0.3175965543403955, 0.070678621602253, -0.005443485104478896, 0.00576372664432884, -0.058378652311928035, -0.17651544139897896, -0.04882146709687298, 0.05047382274503997, 0.04502256657689854, 0.05641685711175558, 0.13587023855541788, -0.11793957426700563, -0.1891244831938474, 0.3261647103797822, -0.09434810423824404, -0.2125137220608026, 0.08074066996119827, -0.2521617829666606, -0.16488822118844837, 0.06264792920722227, 0.15910839584345618, 0.13499688428072704, -0.1214018205868169, 0.0882495103911164, -0.06712135249316427, 0.13653147432099408, 0.009317035390441084, 0.03169617080476157, 0.1970222902434346, 0.18386294428325659, -0.01178526047927638, 0.0950294566213242, -0.19888737156898492, -0.11091258248225563, -0.34925667844003155, -0.1306338206881524, -0.12968883371823245, 0.05684441262218613, -0.07019042667144233, -0.09945253723500562, 0.41644066729627194, 0.1557065081821444, 0.2601533693793629, 0.006591728644534236, 0.28004585880608784, 0.10032022341814202, 0.06675667679380803, -0.004154588450633344, 0.24936780538631692, 0.17110429296181315, 0.12701190441952176, -0.30286699353850316, 0.08861231037215996, -0.024373825417742842] |
710.2673 | Higher Derivative Corrections in M-theory via Local Supersymmetry | We investigate higher derivative corrections in M-theory by applying
Noether's method. Cancellation of variations, which contain linear terms in
4-form field strength, under local supersymmetry is executed with the aid of
computer programming. Structure of $R^4$ terms is uniquely determined and
exactly matches with one-loop effective terms in type IIA superstring theory.
| hep-th | we investigate higher derivative corrections in mtheory by applying noethers method cancellation of variations which contain linear terms in 4form field strength under local supersymmetry is executed with the aid of computer programming structure of r4 terms is uniquely determined and exactly matches with oneloop effective terms in type iia superstring theory | [['we', 'investigate', 'higher', 'derivative', 'corrections', 'in', 'mtheory', 'by', 'applying', 'noethers', 'method', 'cancellation', 'of', 'variations', 'which', 'contain', 'linear', 'terms', 'in', '4form', 'field', 'strength', 'under', 'local', 'supersymmetry', 'is', 'executed', 'with', 'the', 'aid', 'of', 'computer', 'programming', 'structure', 'of', 'r4', 'terms', 'is', 'uniquely', 'determined', 'and', 'exactly', 'matches', 'with', 'oneloop', 'effective', 'terms', 'in', 'type', 'iia', 'superstring', 'theory']] | [-0.15982727999261653, 0.08066358850695766, -0.011102825481569968, 0.13067444251366675, -0.11700587959673542, -0.1360056437462425, -0.04129039447826262, 0.2813563977296536, -0.20835621850206876, -0.3339146862272173, 0.09259670251272976, -0.21860827100821412, -0.22393809703107065, 0.12007237530241792, -0.10117403901397036, -0.018740634998091713, -0.009561837937396307, 0.07961951297385475, -0.13745527157488352, -0.3365269266337586, 0.3119931428764875, -0.00021949163279854335, 0.24391365352158362, 0.046222990570151105, 0.12829889959091537, 0.019206471391953528, -0.010467156982765747, 0.03645326662808657, -0.0860034955593829, 0.1365073088852044, 0.25385412767242926, 0.06115321968144809, 0.09673643352625032, -0.45931393545694077, -0.18355137917499703, 0.05456221153816351, 0.1660331709561153, 0.11278738280928408, 0.03453681879014207, -0.2613708744577777, 0.1246988411159971, -0.15697873931807968, -0.1321319823171227, -0.1042749064687926, -0.0010881947707205724, -0.058183141984045506, -0.2628223873605468, 0.09027309351893983, -0.04903863262958252, 0.1351157130780988, -0.03652145534467239, -0.06923287003659286, -0.03795119810204666, 0.06547566788056149, 0.12351217583860628, 0.1145183339697094, 0.1541888215041791, -0.19041909268484092, -0.18053773627616465, 0.4047327295590479, -0.1329557623785849, -0.2500522030990956, 0.06445761612401558, -0.1075667907179405, -0.1699025718307194, 0.14211250255241864, 0.07189195133888951, 0.15476696392019781, -0.176579320070092, 0.2835341417264247, 0.06790503276323971, 0.14180361214452064, 0.141068101914313, 0.07259809495343898, 0.20857883396092802, 0.0652378174977807, 0.061874968626608066, 0.13444935069240344, 0.010910697505236246, -0.10729231163322066, -0.4353391924299873, -0.07627880082537349, -0.1098840240156278, 0.08721897199463385, -0.16121964881956677, -0.1561339740247394, 0.35520562595831084, 0.07890946018652847, 0.06982356934951475, 0.07541453043366066, 0.19373533459236988, 0.2138262361359711, 0.12074783757830468, 0.07826825308326918, 0.23065622561038113, 0.1969646693323739, 0.05444550575017414, -0.30699410509819597, -0.05447230254335759, 0.24192528641120029] |
710.2674 | Linguistic Information Energy | In this treatment a text is considered to be a series of word impulses which
are read at a constant rate. The brain then assembles these units of
information into higher units of meaning. A classical systems approach is used
to model an initial part of this assembly process. The concepts of linguistic
system response, information energy, and ordering energy are defined and
analyzed. Finally, as a demonstration, information energy is used to estimate
the publication dates of a series of texts and the similarity of a set of
texts.
| cs.CL cs.IT math.IT | in this treatment a text is considered to be a series of word impulses which are read at a constant rate the brain then assembles these units of information into higher units of meaning a classical systems approach is used to model an initial part of this assembly process the concepts of linguistic system response information energy and ordering energy are defined and analyzed finally as a demonstration information energy is used to estimate the publication dates of a series of texts and the similarity of a set of texts | [['in', 'this', 'treatment', 'a', 'text', 'is', 'considered', 'to', 'be', 'a', 'series', 'of', 'word', 'impulses', 'which', 'are', 'read', 'at', 'a', 'constant', 'rate', 'the', 'brain', 'then', 'assembles', 'these', 'units', 'of', 'information', 'into', 'higher', 'units', 'of', 'meaning', 'a', 'classical', 'systems', 'approach', 'is', 'used', 'to', 'model', 'an', 'initial', 'part', 'of', 'this', 'assembly', 'process', 'the', 'concepts', 'of', 'linguistic', 'system', 'response', 'information', 'energy', 'and', 'ordering', 'energy', 'are', 'defined', 'and', 'analyzed', 'finally', 'as', 'a', 'demonstration', 'information', 'energy', 'is', 'used', 'to', 'estimate', 'the', 'publication', 'dates', 'of', 'a', 'series', 'of', 'texts', 'and', 'the', 'similarity', 'of', 'a', 'set', 'of', 'texts']] | [-0.10241745491512119, 0.07636328676550572, -0.10101260243164789, 0.09550253422876268, -0.0836382655840781, -0.07058456955581076, 0.06548325396660301, 0.3566226351178355, -0.32086474363588624, -0.31690529037991333, 0.10982851294490198, -0.3023532697723971, -0.12840259001499765, 0.17274776980436096, -0.05440647144957135, 0.031520608455563585, 0.06542604519571694, 0.12287058310014093, -0.02115627703153425, -0.2476026838231418, 0.2849617348608768, 0.06744750297317902, 0.28013681513257327, -0.001442688082655271, 0.15808879998512565, -0.04164913021441963, -0.06006752518005669, 0.01167860054022943, -0.107996165069441, 0.16336180708474582, 0.29889741885061893, 0.1754624413740304, 0.31657370903218784, -0.41006709372417793, -0.19808768469633328, 0.05226578789556192, 0.0951353104164203, 0.1173959817051784, 0.014439343749028112, -0.2742330344290369, 0.07871360168792307, -0.16360692367371585, -0.008815336662034193, -0.037036239003969566, 0.04360588509589434, 0.02588075681899985, -0.2745197876873944, 0.0761512466499375, 0.09133039218270117, 0.07818826249697142, -0.07101272794728478, -0.06984544252174803, 0.011715989479691618, 0.1861131411511451, 0.0404572455532616, 0.05100622518738318, 0.16138688680301938, -0.11503277771278388, -0.10721168720370365, 0.39143390274710127, -0.048470306782595195, -0.21830213730119996, 0.151560141135835, -0.08164092103640239, -0.09842617382916312, 0.103775462653074, 0.19061818294641045, 0.07194470522097415, -0.21504098411856426, 0.0045217561309174115, 0.006477987993922498, 0.2205961975786421, 0.08003470146407683, 0.03592075053602457, 0.22029704534862604, 0.1873619018846916, -0.012675918889645902, 0.12650927405468085, -0.046569301943398186, -0.05452648597355518, -0.2933392940089107, -0.20250930130067799, -0.21550183300342823, 0.029321294025026468, -0.050345515381680646, -0.1711963059484131, 0.41793566348238126, 0.1259643483615946, 0.2097990755767872, 0.04717504202983239, 0.2610550848974122, 0.10496314569237357, 0.07291668539401144, 0.01875871166897317, 0.1199719758807785, 0.09503699090952675, 0.15199755078388585, -0.14158862146561862, 0.06394855874176654, 0.05495862445540196] |
710.2675 | Band Gap of CsCl Film's as a Function of Lattice Constant | The manuscript reports experimental estimation of Cesium Chloride film's band
gap and compares it with theoretical simulations. The band gap shows a strong
dependence on it's lattice constant. Also, it is seen that the point defects
present in the films strongly affects it's optical properties.
| cond-mat.mtrl-sci | the manuscript reports experimental estimation of cesium chloride films band gap and compares it with theoretical simulations the band gap shows a strong dependence on its lattice constant also it is seen that the point defects present in the films strongly affects its optical properties | [['the', 'manuscript', 'reports', 'experimental', 'estimation', 'of', 'cesium', 'chloride', 'films', 'band', 'gap', 'and', 'compares', 'it', 'with', 'theoretical', 'simulations', 'the', 'band', 'gap', 'shows', 'a', 'strong', 'dependence', 'on', 'its', 'lattice', 'constant', 'also', 'it', 'is', 'seen', 'that', 'the', 'point', 'defects', 'present', 'in', 'the', 'films', 'strongly', 'affects', 'its', 'optical', 'properties']] | [-0.13836908902352055, 0.09821845699205167, -0.06716360420816475, -0.03304159790277481, -0.02054940385537015, -0.10971195388378369, 0.12438479497925276, 0.5143373214536243, -0.25997675048808255, -0.2737858416305648, 0.0587852085293788, -0.35020671834548317, -0.1632613154542115, 0.1585802318321334, -0.012635345777703656, 0.049033808115766284, 0.08542345793296893, -0.09917598559210698, -0.1202794265985075, -0.2091639950612767, 0.2560774108601941, 0.11096338071963853, 0.3599849416874349, 0.17747076996084715, -0.004438745126956039, -0.028964368564387163, 0.059446096647944716, 0.001468351400560803, -0.20256356583057722, 0.09640683391027981, 0.20316677212508188, -0.06827525091874931, 0.18977782064014012, -0.41002196963462567, -0.2285549945094519, -0.008121578271190326, 0.1013573468145397, 0.1304739139146275, -0.1041079300481619, -0.24532950243188276, 0.035096928373807006, -0.10004250175423092, -0.1138888479081086, -0.03605790367970864, -0.008744056346929735, 0.00232693020047413, -0.17049057833436462, 0.0894969778698093, 0.04286146186706093, 0.1013033169011275, -0.10466909307676057, -0.16153707444253895, -0.06564862926801046, 0.049567094747908415, 0.08492137067951262, 0.04499092888500955, 0.198634451503555, -0.10446814203427898, -0.09145919875138336, 0.405174337203304, -0.1008515460209714, -0.07117926482525137, 0.18928971166412037, -0.17974280886765984, -0.07118089423618383, 0.15542597154983215, 0.061635756420178545, 0.09404104445129632, -0.0643089978231324, 0.11494288682911752, -0.08825076164470778, 0.285195011566005, -0.016490844326714674, 0.08121906591372358, 0.2055423550411231, 0.23009171520049373, 0.04150009900331497, 0.17351305224001407, -0.09259607666689489, -0.01565399914979935, -0.22331599565740262, -0.13740502428263426, -0.22842244998965827, -0.0039300308045413755, -0.06519602430020718, -0.23604739674677452, 0.416330373318245, 0.14954596554032631, 0.15087973044978248, -0.016667720302939414, 0.22857171967625617, 0.07335004075947735, 0.015401938459318545, 0.02572285935489668, 0.32280671820044515, 0.1249351510571109, 0.16042944641990795, -0.29815661502588126, 0.1045329056162801, -0.043924848750854534] |
710.2676 | Radiation Damage Study for PHENIX Silicon Stripixel Sensors | Silicon stripixel sensors which were developed at BNL will be installed as
part of the RHIC-PHENIX silicon vertex tracker (VTX). RHIC II operations
provide luminosity up to 2x10^32 /cm2/s so the silicon stripixel sensors will
be exposed to a significant amount of radiation. The most problematic radiation
effect for VTX is the increase of leakage current, which degrades the signal to
noise ratio and may saturate the readout electronics.
We studied the radiation damage using the same diodes as CERN-RD48. First,
the proportionality between the irradiation fluence and the increase of leakage
current of CERN-RD48 was reproduced. Then beam experiments with stripixel
sensor were done in which leakage current was found to increase in the same way
as that of thereference diode.
A stripixel sensor was also irradiated at the PHENIX interaction region (IR)
during the 2006 run. We found the same relation between the integrated
luminosity and determined fluence from increase of leakage current. The
expected fluence is 3-6x10^12 Neq/cm2 (1 MeV neutron equivalent) in RHIC II
operations for 10 years. Due to this expected exposure, setting the operating
temperature in PHENIX to T< 0 deg. C to suppress leakage current is needed to
avoid saturation of preamplifiers.
| nucl-ex | silicon stripixel sensors which were developed at bnl will be installed as part of the rhicphenix silicon vertex tracker vtx rhic ii operations provide luminosity up to 2x1032 cm2s so the silicon stripixel sensors will be exposed to a significant amount of radiation the most problematic radiation effect for vtx is the increase of leakage current which degrades the signal to noise ratio and may saturate the readout electronics we studied the radiation damage using the same diodes as cernrd48 first the proportionality between the irradiation fluence and the increase of leakage current of cernrd48 was reproduced then beam experiments with stripixel sensor were done in which leakage current was found to increase in the same way as that of thereference diode a stripixel sensor was also irradiated at the phenix interaction region ir during the 2006 run we found the same relation between the integrated luminosity and determined fluence from increase of leakage current the expected fluence is 36x1012 neqcm2 1 mev neutron equivalent in rhic ii operations for 10 years due to this expected exposure setting the operating temperature in phenix to t 0 deg c to suppress leakage current is needed to avoid saturation of preamplifiers | [['silicon', 'stripixel', 'sensors', 'which', 'were', 'developed', 'at', 'bnl', 'will', 'be', 'installed', 'as', 'part', 'of', 'the', 'rhicphenix', 'silicon', 'vertex', 'tracker', 'vtx', 'rhic', 'ii', 'operations', 'provide', 'luminosity', 'up', 'to', '2x1032', 'cm2s', 'so', 'the', 'silicon', 'stripixel', 'sensors', 'will', 'be', 'exposed', 'to', 'a', 'significant', 'amount', 'of', 'radiation', 'the', 'most', 'problematic', 'radiation', 'effect', 'for', 'vtx', 'is', 'the', 'increase', 'of', 'leakage', 'current', 'which', 'degrades', 'the', 'signal', 'to', 'noise', 'ratio', 'and', 'may', 'saturate', 'the', 'readout', 'electronics', 'we', 'studied', 'the', 'radiation', 'damage', 'using', 'the', 'same', 'diodes', 'as', 'cernrd48', 'first', 'the', 'proportionality', 'between', 'the', 'irradiation', 'fluence', 'and', 'the', 'increase', 'of', 'leakage', 'current', 'of', 'cernrd48', 'was', 'reproduced', 'then', 'beam', 'experiments', 'with', 'stripixel', 'sensor', 'were', 'done', 'in', 'which', 'leakage', 'current', 'was', 'found', 'to', 'increase', 'in', 'the', 'same', 'way', 'as', 'that', 'of', 'thereference', 'diode', 'a', 'stripixel', 'sensor', 'was', 'also', 'irradiated', 'at', 'the', 'phenix', 'interaction', 'region', 'ir', 'during', 'the', '2006', 'run', 'we', 'found', 'the', 'same', 'relation', 'between', 'the', 'integrated', 'luminosity', 'and', 'determined', 'fluence', 'from', 'increase', 'of', 'leakage', 'current', 'the', 'expected', 'fluence', 'is', '36x1012', 'neqcm2', '1', 'mev', 'neutron', 'equivalent', 'in', 'rhic', 'ii', 'operations', 'for', '10', 'years', 'due', 'to', 'this', 'expected', 'exposure', 'setting', 'the', 'operating', 'temperature', 'in', 'phenix', 'to', 't', '0', 'deg', 'c', 'to', 'suppress', 'leakage', 'current', 'is', 'needed', 'to', 'avoid', 'saturation', 'of', 'preamplifiers']] | [-0.0544750558761641, 0.1619895483749226, -0.02378608373662409, 0.0207871710941291, -0.011128525350702544, -0.15447734458228715, 0.01611227315181914, 0.3947846826667396, -0.22338470836611798, -0.37830133101640223, 0.06933739783648306, -0.3697572657575783, 0.03376532417889207, 0.20138379010634544, -0.07335482763547378, 0.058402281583477864, 0.04301064633167325, -0.01313099686208611, -0.06306331659523913, -0.2384087388218643, 0.19352475678166137, 0.18467250692968568, 0.30655964866328317, 0.09728468690927213, 0.09785326390813749, -0.03848970868648627, -0.005280944356360497, -0.007840836700052024, -0.0921321277078674, 0.009253642144493568, 0.287016592197753, 0.08022967841571722, 0.18344939007686498, -0.4549044848539126, -0.15348098579650887, 0.08829832911157073, 0.09288238773647792, 0.039923081070017546, -0.06549142767937902, -0.22741510886937763, 0.08661613337313517, -0.2020205119290413, -0.10525269978321515, 0.06594799726855201, 0.03847416142980831, 0.023686523753731776, -0.26515370657882437, 0.007774912372368794, -0.007657527044349804, 0.018947230760031977, -0.02121307898957569, -0.14202259865183478, -0.04267104827345182, 0.08233304800322423, 0.005369569638218635, 0.09997438027296597, 0.2500756652882466, -0.12120212700504523, -0.08162617965792425, 0.2838045105815698, -0.04824525020204676, -0.05431040469840623, 0.14175922822069903, -0.20034845420875802, -0.04582037139827242, 0.18746341957042043, 0.15862009848157566, 0.05953727344480845, -0.19972690500569745, 0.020355617101244533, 0.07222650640954574, 0.21326440552858492, 0.13528724405795145, 0.047904240222982106, 0.18453694575060253, 0.20610346102084104, 0.06483616785217937, 0.14155184009637778, -0.18221756488275834, 0.028420641879813795, -0.32613541631219095, -0.1066646166695043, -0.12185815555753951, 0.0886148580791763, 0.0027953152373904745, -0.07069412291479799, 0.3527080760265772, 0.18647556542359198, 0.16162712588810768, -0.026625134029951043, 0.32037961883231614, 0.13021438242330288, 0.13132787999303008, 0.04126633000918306, 0.32608657352005443, 0.13607152932777236, 0.1954567247428573, -0.251940033903632, 0.09149454310058783, -0.04820561364102058] |
710.2677 | The scalar unparticle effect on the charged lepton electric dipole
moment | We study the charged lepton electric dipole moment which is induced by the
scalar unparticle mediation and we predict the appropriate range for the free
parameters appearing in the effective lagrangian which drives the
unparticle-standard model lepton interactions. We observe that the charged
lepton electric dipole moment is strongly sensitive to the scaling dimension
d_u of the unparticle and the new couplings in the effective interaction.
Furthermore, we see that the current experimental limits of charged lepton
electric dipole moments can ensure an appropriate range for these free
parameters.
| hep-ph | we study the charged lepton electric dipole moment which is induced by the scalar unparticle mediation and we predict the appropriate range for the free parameters appearing in the effective lagrangian which drives the unparticlestandard model lepton interactions we observe that the charged lepton electric dipole moment is strongly sensitive to the scaling dimension d_u of the unparticle and the new couplings in the effective interaction furthermore we see that the current experimental limits of charged lepton electric dipole moments can ensure an appropriate range for these free parameters | [['we', 'study', 'the', 'charged', 'lepton', 'electric', 'dipole', 'moment', 'which', 'is', 'induced', 'by', 'the', 'scalar', 'unparticle', 'mediation', 'and', 'we', 'predict', 'the', 'appropriate', 'range', 'for', 'the', 'free', 'parameters', 'appearing', 'in', 'the', 'effective', 'lagrangian', 'which', 'drives', 'the', 'unparticlestandard', 'model', 'lepton', 'interactions', 'we', 'observe', 'that', 'the', 'charged', 'lepton', 'electric', 'dipole', 'moment', 'is', 'strongly', 'sensitive', 'to', 'the', 'scaling', 'dimension', 'd_u', 'of', 'the', 'unparticle', 'and', 'the', 'new', 'couplings', 'in', 'the', 'effective', 'interaction', 'furthermore', 'we', 'see', 'that', 'the', 'current', 'experimental', 'limits', 'of', 'charged', 'lepton', 'electric', 'dipole', 'moments', 'can', 'ensure', 'an', 'appropriate', 'range', 'for', 'these', 'free', 'parameters']] | [-0.13846926307252777, 0.3046731385364348, 0.020730532511978792, 0.152777217870938, -0.09321532098428262, -0.11293532780837268, -0.005731523453670723, 0.3085305208170956, -0.22006247956729072, -0.32929489069448953, -0.05227623573260975, -0.28811197814700956, -0.07808537664823234, 0.07715419463718055, 0.09423719234341248, 0.035379459859210656, -0.011122863184110347, 0.055700288323516194, -0.04029849790227176, -0.16965654854324053, 0.32571142904502765, 0.03732684208609333, 0.28400537743106147, 0.1578924097067846, 0.0815216222545132, 0.03854397849962962, 0.02212137534198436, -0.0016733867497268047, -0.13110483800334227, 0.11709096202288162, 0.13511637458511608, 0.021291854868071492, 0.07060081683316226, -0.4011145724322308, -0.11570384590595495, 0.16045840620063245, 0.13320911381478337, 0.12717387427586468, -0.09196984308602457, -0.30336742678826506, 0.06558706964874132, -0.19369303447787056, -0.14709040004527196, -0.14695027670082214, 0.006434522410431368, 0.004843142240795053, -0.4366158794992688, 0.068958825359666, 0.021087161180647938, 0.0008577031549066305, -0.06090991232882847, -0.14960726334803356, -0.020148153795162216, 0.07667311739086555, 0.19853435386242133, 0.02287583638892763, 0.21464648713167248, -0.2004268887520249, -0.09924154227139131, 0.36778864272425627, -0.1032171809982339, -0.22802089438350362, 0.13490610734813593, -0.19720296663845974, -0.12881613822272894, 0.09803940360011025, 0.19787306160750714, 0.10765549328855493, -0.18793102430010383, 0.1981909534303916, -0.037970393007113176, 0.13004750838841905, 0.028689930342476477, 0.018027748647992583, 0.2598054702817039, 0.13226648619588974, 0.10133478120604361, 0.08278010600373488, -0.10296136258297008, -0.05847251288783313, -0.38233602296730335, -0.12729966176927768, -0.13376043453304606, 0.08420337697977877, -0.1291249676508993, -0.11825546219585124, 0.4473258774642917, 0.1934416952109049, 0.18020362796431239, -0.029283408665585077, 0.2892926966305822, 0.15314595090140673, 0.09463012041206556, 0.016791387686019087, 0.34827213462399825, 0.11794160642206077, 0.12004467472169464, -0.2941802401751788, 0.006648603702408515, 0.08410234459866346] |
710.2678 | Adaptive Directional Subdivision Schemes and Shearlet Multiresolution
Analysis | In this paper, we propose a solution for a fundamental problem in
computational harmonic analysis, namely, the construction of a multiresolution
analysis with directional components. We will do so by constructing subdivision
schemes which provide a means to incorporate directionality into the data and
thus the limit function. We develop a new type of non-stationary bivariate
subdivision schemes, which allow to adapt the subdivision process depending on
directionality constraints during its performance, and we derive a complete
characterization of those masks for which these adaptive directional
subdivision schemes converge. In addition, we present several numerical
examples to illustrate how this scheme works. Secondly, we describe a fast
decomposition associated with a sparse directional representation system for
two dimensional data, where we focus on the recently introduced sparse
directional representation system of shearlets. In fact, we show that the
introduced adaptive directional subdivision schemes can be used as a framework
for deriving a shearlet multiresolution analysis with finitely supported
filters, thereby leading to a fast shearlet decomposition.
| math.NA math.FA | in this paper we propose a solution for a fundamental problem in computational harmonic analysis namely the construction of a multiresolution analysis with directional components we will do so by constructing subdivision schemes which provide a means to incorporate directionality into the data and thus the limit function we develop a new type of nonstationary bivariate subdivision schemes which allow to adapt the subdivision process depending on directionality constraints during its performance and we derive a complete characterization of those masks for which these adaptive directional subdivision schemes converge in addition we present several numerical examples to illustrate how this scheme works secondly we describe a fast decomposition associated with a sparse directional representation system for two dimensional data where we focus on the recently introduced sparse directional representation system of shearlets in fact we show that the introduced adaptive directional subdivision schemes can be used as a framework for deriving a shearlet multiresolution analysis with finitely supported filters thereby leading to a fast shearlet decomposition | [['in', 'this', 'paper', 'we', 'propose', 'a', 'solution', 'for', 'a', 'fundamental', 'problem', 'in', 'computational', 'harmonic', 'analysis', 'namely', 'the', 'construction', 'of', 'a', 'multiresolution', 'analysis', 'with', 'directional', 'components', 'we', 'will', 'do', 'so', 'by', 'constructing', 'subdivision', 'schemes', 'which', 'provide', 'a', 'means', 'to', 'incorporate', 'directionality', 'into', 'the', 'data', 'and', 'thus', 'the', 'limit', 'function', 'we', 'develop', 'a', 'new', 'type', 'of', 'nonstationary', 'bivariate', 'subdivision', 'schemes', 'which', 'allow', 'to', 'adapt', 'the', 'subdivision', 'process', 'depending', 'on', 'directionality', 'constraints', 'during', 'its', 'performance', 'and', 'we', 'derive', 'a', 'complete', 'characterization', 'of', 'those', 'masks', 'for', 'which', 'these', 'adaptive', 'directional', 'subdivision', 'schemes', 'converge', 'in', 'addition', 'we', 'present', 'several', 'numerical', 'examples', 'to', 'illustrate', 'how', 'this', 'scheme', 'works', 'secondly', 'we', 'describe', 'a', 'fast', 'decomposition', 'associated', 'with', 'a', 'sparse', 'directional', 'representation', 'system', 'for', 'two', 'dimensional', 'data', 'where', 'we', 'focus', 'on', 'the', 'recently', 'introduced', 'sparse', 'directional', 'representation', 'system', 'of', 'shearlets', 'in', 'fact', 'we', 'show', 'that', 'the', 'introduced', 'adaptive', 'directional', 'subdivision', 'schemes', 'can', 'be', 'used', 'as', 'a', 'framework', 'for', 'deriving', 'a', 'shearlet', 'multiresolution', 'analysis', 'with', 'finitely', 'supported', 'filters', 'thereby', 'leading', 'to', 'a', 'fast', 'shearlet', 'decomposition']] | [-0.08241491052213389, 0.01498353462217443, -0.13669334800846605, 0.03279075214219799, -0.12886515028314688, -0.1229250800391906, 0.04396083419623571, 0.429128588850509, -0.2866959431340514, -0.22362130174009376, 0.13123820233719805, -0.18088198432990585, -0.24375188228231012, 0.1998997710284732, -0.1017440599445478, 0.06131418569382359, 0.07551993761234076, -0.01499247612099932, -0.07175990188892661, -0.21411882724096798, 0.316706283166668, 0.04601591142702354, 0.2876879120293264, 0.002034831116065742, 0.14168857774803842, 0.01648918831866818, -0.11707018631375787, 0.029170394995031004, -0.15976682470302997, 0.1736537105149971, 0.26087365187536254, 0.13992353175003755, 0.2901118085775749, -0.4224307306155742, -0.22936653211296967, 0.12498372644382383, 0.1565565144396331, 0.09655044296355245, -0.09040733382066554, -0.2662127530370581, 0.09106601147171874, -0.17125900790336576, -0.11286577365518245, -0.17112066110467022, -0.04355506689837539, 0.061417037487894025, -0.3431427732968411, 0.02603414332976632, 0.11141898203641176, 0.02237778321660337, -0.02818052850576701, -0.06851032522299427, 0.04325102779352252, 0.0657530895115931, -0.042700538608275, -0.03434909917750811, 0.038075762800872326, -0.05313975074811851, -0.13085875080348588, 0.35691420874188107, -0.05833438031953277, -0.2931919087801712, 0.19010288941713208, -0.09608520871219058, -0.18071495018989206, 0.12480790226254612, 0.24162063991134786, 0.12931174878837506, -0.13034491566380105, 0.058615922840194304, -0.033852044039922036, 0.14176767648208932, 0.07268808411675538, 0.06012541297767087, 0.12995505466894527, 0.17279862679249372, 0.1161295415195675, 0.16539273948159003, -0.09713263201831661, -0.05583636424678142, -0.2931602209447378, -0.15216851760145889, -0.17405434476957848, -0.014488766016859382, -0.09745591563219626, -0.17372043160805814, 0.4146061671319155, 0.12766391789107248, 0.18044607590390258, 0.07933671544768836, 0.33032886867680733, 0.11899808159095224, 0.05501009973540274, 0.06134988494913082, 0.15535517859396086, 0.11815412359519761, 0.06670470953167203, -0.15230086018297687, 0.019483735156526048, 0.1475245119493275] |
710.2679 | A New Class of Group Field Theories for 1st Order Discrete Quantum
Gravity | Group Field Theories, a generalization of matrix models for 2d gravity,
represent a 2nd quantization of both loop quantum gravity and simplicial
quantum gravity. In this paper, we construct a new class of Group Field Theory
models, for any choice of spacetime dimension and signature, whose Feynman
amplitudes are given by path integrals for clearly identified discrete gravity
actions, in 1st order variables. In the 3-dimensional case, the corresponding
discrete action is that of 1st order Regge calculus for gravity (generalized to
include higher order corrections), while in higher dimensions, they correspond
to a discrete BF theory (again, generalized to higher order) with an imposed
orientation restriction on hinge volumes, similar to that characterizing
discrete gravity. The new models shed also light on the large distance or
semi-classical approximation of spin foam models. This new class of group field
theories may represent a concrete unifying framework for loop quantum gravity
and simplicial quantum gravity approaches.
| gr-qc hep-th | group field theories a generalization of matrix models for 2d gravity represent a 2nd quantization of both loop quantum gravity and simplicial quantum gravity in this paper we construct a new class of group field theory models for any choice of spacetime dimension and signature whose feynman amplitudes are given by path integrals for clearly identified discrete gravity actions in 1st order variables in the 3dimensional case the corresponding discrete action is that of 1st order regge calculus for gravity generalized to include higher order corrections while in higher dimensions they correspond to a discrete bf theory again generalized to higher order with an imposed orientation restriction on hinge volumes similar to that characterizing discrete gravity the new models shed also light on the large distance or semiclassical approximation of spin foam models this new class of group field theories may represent a concrete unifying framework for loop quantum gravity and simplicial quantum gravity approaches | [['group', 'field', 'theories', 'a', 'generalization', 'of', 'matrix', 'models', 'for', '2d', 'gravity', 'represent', 'a', '2nd', 'quantization', 'of', 'both', 'loop', 'quantum', 'gravity', 'and', 'simplicial', 'quantum', 'gravity', 'in', 'this', 'paper', 'we', 'construct', 'a', 'new', 'class', 'of', 'group', 'field', 'theory', 'models', 'for', 'any', 'choice', 'of', 'spacetime', 'dimension', 'and', 'signature', 'whose', 'feynman', 'amplitudes', 'are', 'given', 'by', 'path', 'integrals', 'for', 'clearly', 'identified', 'discrete', 'gravity', 'actions', 'in', '1st', 'order', 'variables', 'in', 'the', '3dimensional', 'case', 'the', 'corresponding', 'discrete', 'action', 'is', 'that', 'of', '1st', 'order', 'regge', 'calculus', 'for', 'gravity', 'generalized', 'to', 'include', 'higher', 'order', 'corrections', 'while', 'in', 'higher', 'dimensions', 'they', 'correspond', 'to', 'a', 'discrete', 'bf', 'theory', 'again', 'generalized', 'to', 'higher', 'order', 'with', 'an', 'imposed', 'orientation', 'restriction', 'on', 'hinge', 'volumes', 'similar', 'to', 'that', 'characterizing', 'discrete', 'gravity', 'the', 'new', 'models', 'shed', 'also', 'light', 'on', 'the', 'large', 'distance', 'or', 'semiclassical', 'approximation', 'of', 'spin', 'foam', 'models', 'this', 'new', 'class', 'of', 'group', 'field', 'theories', 'may', 'represent', 'a', 'concrete', 'unifying', 'framework', 'for', 'loop', 'quantum', 'gravity', 'and', 'simplicial', 'quantum', 'gravity', 'approaches']] | [-0.12272467937380556, 0.1601100701764564, -0.11274406288059488, 0.10203493283385591, -0.11850777518364691, -0.16574531589304248, -0.01322500850524633, 0.2961709147018771, -0.22870550280016277, -0.28037815977849306, 0.061310043516418625, -0.21939136454414937, -0.18731441264221024, 0.16336223815733025, -0.10973600163575142, 0.025732440988142643, -0.024954107184443745, 0.08024247109649643, -0.10395411164424713, -0.24484014539949356, 0.3471324054223876, 0.00973021078163818, 0.23733312001511936, -5.8165889593862715e-05, 0.11915911723288798, -0.012408038009438785, -0.016522780328147833, 0.07030708400772945, -0.1241896250049561, 0.1337364331999373, 0.21436525183521407, 0.024266269528156807, 0.20132922258588576, -0.4273444984709063, -0.2885081064857302, 0.08332803865984803, 0.08680937977868222, 0.14730307891093675, 0.003853213530214083, -0.30069176469809344, 0.04918985579523348, -0.18198899494243725, -0.14673679109602686, -0.10934866243342478, 0.014813277692413859, -0.09671665333969999, -0.22853809480345058, 0.05515783814724625, 0.03653070608063811, 0.05348032474444593, -0.04790190167184318, -0.0787569546891797, -0.00892758389874812, 0.10306088007280544, 0.010179590306154663, 0.07847238200671611, 0.05982446283732931, -0.15639436157840875, -0.19932252571227088, 0.4244163398015042, -0.07822912065988226, -0.2569812491836567, 0.16108311445061718, -0.17734930331728632, -0.1879071805536026, 0.0924716135787387, 0.18446182132127784, 0.16257616187475862, -0.10685351355482013, 0.14761260601188686, 0.0038116084325367644, 0.11464348404157547, 0.08522919615009619, 0.05413597806567146, 0.2551793514133615, 0.0718786153822176, 0.05039015778447426, 0.08594461036846042, -0.029089423016675057, -0.17692791014429063, -0.3923958311518354, -0.1834050886483202, -0.12468378840074423, 0.05076746684048445, -0.1644864651942513, -0.20323999202059162, 0.3525832818160134, 0.13485328705545754, 0.09870333829444022, 0.10837399250557346, 0.21926105629292228, 0.14132376148575737, 0.078848630442254, 0.048848930268638555, 0.1891257212362102, 0.209278991693751, 0.027549529837204084, -0.18706889741137744, -0.06677285628843932, 0.18038752663640245] |
710.268 | Global properties of Stochastic Loewner evolution driven by Levy
processes | Standard Schramm-Loewner evolution (SLE) is driven by a continuous Brownian
motion which then produces a trace, a continuous fractal curve connecting the
singular points of the motion. If jumps are added to the driving function, the
trace branches. In a recent publication [1] we introduced a generalized SLE
driven by a superposition of a Brownian motion and a fractal set of jumps
(technically a stable L\'evy process). We then discussed the small-scale
properties of the resulting L\'evy-SLE growth process. Here we discuss the same
model, but focus on the global scaling behavior which ensues as time goes to
infinity. This limiting behavior is independent of the Brownian forcing and
depends upon only a single parameter, $\alpha$, which defines the shape of the
stable L\'evy distribution. We learn about this behavior by studying a
Fokker-Planck equation which gives the probability distribution for endpoints
of the trace as a function of time. As in the short-time case previously
studied, we observe that the properties of this growth process change
qualitatively and singularly at $\alpha =1$. We show both analytically and
numerically that the growth continues indefinitely in the vertical direction
for $\alpha > 1$, goes as $\log t$ for $\alpha = 1$, and saturates for $\alpha<
1$. The probability density has two different scales corresponding to
directions along and perpendicular to the boundary. In the former case, the
characteristic scale is $X(t) \sim t^{1/\alpha}$. In the latter case the scale
is $Y(t) \sim A + B t^{1-1/\alpha}$ for $\alpha \neq 1$, and $Y(t) \sim \ln t$
for $\alpha = 1$. Scaling functions for the probability density are given for
various limiting cases.
| cond-mat.stat-mech | standard schrammloewner evolution sle is driven by a continuous brownian motion which then produces a trace a continuous fractal curve connecting the singular points of the motion if jumps are added to the driving function the trace branches in a recent publication 1 we introduced a generalized sle driven by a superposition of a brownian motion and a fractal set of jumps technically a stable levy process we then discussed the smallscale properties of the resulting levysle growth process here we discuss the same model but focus on the global scaling behavior which ensues as time goes to infinity this limiting behavior is independent of the brownian forcing and depends upon only a single parameter alpha which defines the shape of the stable levy distribution we learn about this behavior by studying a fokkerplanck equation which gives the probability distribution for endpoints of the trace as a function of time as in the shorttime case previously studied we observe that the properties of this growth process change qualitatively and singularly at alpha 1 we show both analytically and numerically that the growth continues indefinitely in the vertical direction for alpha 1 goes as log t for alpha 1 and saturates for alpha 1 the probability density has two different scales corresponding to directions along and perpendicular to the boundary in the former case the characteristic scale is xt sim t1alpha in the latter case the scale is yt sim a b t11alpha for alpha neq 1 and yt sim ln t for alpha 1 scaling functions for the probability density are given for various limiting cases | [['standard', 'schrammloewner', 'evolution', 'sle', 'is', 'driven', 'by', 'a', 'continuous', 'brownian', 'motion', 'which', 'then', 'produces', 'a', 'trace', 'a', 'continuous', 'fractal', 'curve', 'connecting', 'the', 'singular', 'points', 'of', 'the', 'motion', 'if', 'jumps', 'are', 'added', 'to', 'the', 'driving', 'function', 'the', 'trace', 'branches', 'in', 'a', 'recent', 'publication', '1', 'we', 'introduced', 'a', 'generalized', 'sle', 'driven', 'by', 'a', 'superposition', 'of', 'a', 'brownian', 'motion', 'and', 'a', 'fractal', 'set', 'of', 'jumps', 'technically', 'a', 'stable', 'levy', 'process', 'we', 'then', 'discussed', 'the', 'smallscale', 'properties', 'of', 'the', 'resulting', 'levysle', 'growth', 'process', 'here', 'we', 'discuss', 'the', 'same', 'model', 'but', 'focus', 'on', 'the', 'global', 'scaling', 'behavior', 'which', 'ensues', 'as', 'time', 'goes', 'to', 'infinity', 'this', 'limiting', 'behavior', 'is', 'independent', 'of', 'the', 'brownian', 'forcing', 'and', 'depends', 'upon', 'only', 'a', 'single', 'parameter', 'alpha', 'which', 'defines', 'the', 'shape', 'of', 'the', 'stable', 'levy', 'distribution', 'we', 'learn', 'about', 'this', 'behavior', 'by', 'studying', 'a', 'fokkerplanck', 'equation', 'which', 'gives', 'the', 'probability', 'distribution', 'for', 'endpoints', 'of', 'the', 'trace', 'as', 'a', 'function', 'of', 'time', 'as', 'in', 'the', 'shorttime', 'case', 'previously', 'studied', 'we', 'observe', 'that', 'the', 'properties', 'of', 'this', 'growth', 'process', 'change', 'qualitatively', 'and', 'singularly', 'at', 'alpha', '1', 'we', 'show', 'both', 'analytically', 'and', 'numerically', 'that', 'the', 'growth', 'continues', 'indefinitely', 'in', 'the', 'vertical', 'direction', 'for', 'alpha', '1', 'goes', 'as', 'log', 't', 'for', 'alpha', '1', 'and', 'saturates', 'for', 'alpha', '1', 'the', 'probability', 'density', 'has', 'two', 'different', 'scales', 'corresponding', 'to', 'directions', 'along', 'and', 'perpendicular', 'to', 'the', 'boundary', 'in', 'the', 'former', 'case', 'the', 'characteristic', 'scale', 'is', 'xt', 'sim', 't1alpha', 'in', 'the', 'latter', 'case', 'the', 'scale', 'is', 'yt', 'sim', 'a', 'b', 't11alpha', 'for', 'alpha', 'neq', '1', 'and', 'yt', 'sim', 'ln', 't', 'for', 'alpha', '1', 'scaling', 'functions', 'for', 'the', 'probability', 'density', 'are', 'given', 'for', 'various', 'limiting', 'cases']] | [-0.11681500960504777, 0.18323668520536035, -0.09260785411937501, 0.058141179522470506, -0.019781845966600955, -0.13264350776355996, 0.020302805577750514, 0.33541038090708863, -0.32132287054484937, -0.2211682120541809, 0.08587637021529107, -0.2839803669657241, -0.11866290942116668, 0.18531905807410085, -0.015829442873258482, 0.06335441165764209, -0.02492803824575138, 0.05018876218871975, -0.03085359362144531, -0.18512627646630403, 0.3109720427592313, 0.015508047934307604, 0.2224359785367128, -0.016901147056187532, 0.1170152137754926, -0.012510713487934096, -0.007665886813563041, 0.020885113779782347, -0.2009655442726591, 0.025414210744202137, 0.144747836440343, 0.062461752117501004, 0.28848985240046837, -0.35323033628237405, -0.20287800274584725, 0.09785889747736017, 0.17293959826841301, 0.03700144836065275, -0.00785585007653219, -0.2402453181134523, 0.08558705990964716, -0.12063787513320814, -0.19324904949682992, -0.014791043484089614, 0.1153789361820655, 0.05558363637145235, -0.2924126930610686, 0.11065976598271818, 0.10058935871413931, 0.01603215645335502, -0.052301828896650644, -0.08783468439871671, -0.01496318638788635, 0.1227333821430379, 0.07888661140073468, 0.0564618304329501, 0.1438018381428044, -0.13281130603784483, -0.0814436778256839, 0.3275761363726236, -0.09846660166504355, -0.21041357976377406, 0.16731039694489233, -0.21356679631792236, -0.1422845175777294, 0.12717920122050794, 0.11633805548207778, 0.12850332198043665, -0.11572941415766819, 0.13924981925348137, 0.003518710427504795, 0.14979966558078586, 0.0863984138951778, -0.02935025958030372, 0.14839848733831648, 0.15801610919262396, 0.09115701012452712, 0.1256211159299269, -0.09950390183450619, -0.12204680832060562, -0.33741963415575976, -0.18090364976634385, -0.1818804373456673, 0.10784532906925023, -0.13917767551202181, -0.183519841369189, 0.38801706878284953, 0.12660180565911683, 0.2636930331037464, 0.10545018365056338, 0.22227171158275186, 0.18824083443734818, -0.011925016153051702, 0.08532484977287381, 0.16549128865925455, 0.09859377540168211, 0.11999133931804505, -0.20015947590934846, 0.08613792185761585, 0.05262902523144007] |
710.2681 | Multiplicative properties of Morin maps | In the first part of the paper we construct a ring structure on the rational
cobordism classes of Morin maps (i. e. smooth generic maps of corank 1). We
show that associating to a Morin map its singular strata defines a ring
homomorphism to $\Omega_* \otimes \Q$, the rational oriented cobordism ring.
This is proved by analyzing multiple-point sets of product immersion. Using
these homomorphisms we are able to identify the ring of Morin maps.
In the second part of the paper we compute the oriented Thom polynomial of
the $\Sigma^2$ singularity type with $\Q$ coefficients. Then we provide a
product formula for the $\Sigma^2$ and the $\Sigma^{1,1}$ singularities.
| math.GT math.AT | in the first part of the paper we construct a ring structure on the rational cobordism classes of morin maps i e smooth generic maps of corank 1 we show that associating to a morin map its singular strata defines a ring homomorphism to omega_ otimes q the rational oriented cobordism ring this is proved by analyzing multiplepoint sets of product immersion using these homomorphisms we are able to identify the ring of morin maps in the second part of the paper we compute the oriented thom polynomial of the sigma2 singularity type with q coefficients then we provide a product formula for the sigma2 and the sigma11 singularities | [['in', 'the', 'first', 'part', 'of', 'the', 'paper', 'we', 'construct', 'a', 'ring', 'structure', 'on', 'the', 'rational', 'cobordism', 'classes', 'of', 'morin', 'maps', 'i', 'e', 'smooth', 'generic', 'maps', 'of', 'corank', '1', 'we', 'show', 'that', 'associating', 'to', 'a', 'morin', 'map', 'its', 'singular', 'strata', 'defines', 'a', 'ring', 'homomorphism', 'to', 'omega_', 'otimes', 'q', 'the', 'rational', 'oriented', 'cobordism', 'ring', 'this', 'is', 'proved', 'by', 'analyzing', 'multiplepoint', 'sets', 'of', 'product', 'immersion', 'using', 'these', 'homomorphisms', 'we', 'are', 'able', 'to', 'identify', 'the', 'ring', 'of', 'morin', 'maps', 'in', 'the', 'second', 'part', 'of', 'the', 'paper', 'we', 'compute', 'the', 'oriented', 'thom', 'polynomial', 'of', 'the', 'sigma2', 'singularity', 'type', 'with', 'q', 'coefficients', 'then', 'we', 'provide', 'a', 'product', 'formula', 'for', 'the', 'sigma2', 'and', 'the', 'sigma11', 'singularities']] | [-0.22333054772552546, -0.009669690290380508, -0.09788535390083396, 0.03188461514719582, -0.055764012628260556, -0.13708516641374713, -0.059864437995786106, 0.32218864370445044, -0.3664278953652316, -0.14452238595369485, 0.07762435626093332, -0.27347197578450955, -0.17882470751967317, 0.14943079023254574, -0.11190730170987614, -0.023323266837989416, -0.019031605541219063, 0.07000951323932712, -0.0964040758852941, -0.2313191609066236, 0.4548897148033074, -0.03921372295622159, 0.1743229531935083, 0.060335180799075225, 0.11921666412178529, -0.033828619859019006, -0.04000913490618178, 0.009078909395211334, -0.24605788461205286, 0.15903751352810463, 0.29719883174242434, 0.08900328284266208, 0.14655950040248897, -0.3377615320282655, -0.0792864542838972, 0.21171635162905542, 0.10414907282833523, -0.0030999246497698334, 0.021359974701051523, -0.25586809934364685, 0.13662794783071683, -0.1708958394945078, -0.14253169137113, -0.09749019868808602, 0.08085986712110152, 0.022303642747804112, -0.25594425969596935, -0.024539483070305183, 0.12410157240517096, 0.13783545183752655, -0.05338268811758949, -0.07909453375726391, -0.05060939798815125, 0.08934053390739707, -0.05242460121298123, 0.08766853874079336, 0.11133832959116462, -0.08783259826985726, -0.08456506824853548, 0.3450191225450691, -0.09610635433516918, -0.18826853112240724, 0.1124471512050667, -0.19022275858511722, -0.18519720234993606, 0.13779074269765562, 0.06140915035278699, 0.15153801695811092, -0.00426810480912703, 0.182847706647483, -0.09749060965953779, 0.08076977430321618, 0.12220753720371959, -0.06846599079617256, 0.15396840383358504, 0.03731423538656683, 0.08304118106265578, 0.1885414792378561, -0.0678067372688904, -0.00812698764846139, -0.3555109515751994, -0.2076672982646648, -0.15205202835244597, 0.13815714334300078, -0.10535086115056952, -0.16371192988179145, 0.4602373642248845, 0.055820382559039726, 0.24967549463580235, 0.12414217601880567, 0.2464045241919406, 0.08041108614944537, 0.019877747209623046, 0.051623109049898565, 0.10455624688493617, 0.16884481816321883, 0.005544259960532462, -0.1172004689747113, -0.037649750555737306, 0.20368823303986305] |
710.2682 | Cuspidal representations of sl(n+1) | In this paper we study the subcategory of cuspidal modules of the category of
weight modules over the Lie algebra sl(n+1). Our main result is a complete
classification and explicit description of the indecomposable cuspidal modules.
| math.RT | in this paper we study the subcategory of cuspidal modules of the category of weight modules over the lie algebra sln1 our main result is a complete classification and explicit description of the indecomposable cuspidal modules | [['in', 'this', 'paper', 'we', 'study', 'the', 'subcategory', 'of', 'cuspidal', 'modules', 'of', 'the', 'category', 'of', 'weight', 'modules', 'over', 'the', 'lie', 'algebra', 'sln1', 'our', 'main', 'result', 'is', 'a', 'complete', 'classification', 'and', 'explicit', 'description', 'of', 'the', 'indecomposable', 'cuspidal', 'modules']] | [-0.22228679747786373, -0.07671394232764012, -0.09496339827051593, -0.006482374440464709, -0.11097586817211574, -0.061433298034696944, -0.0819714832759928, 0.35008450266387725, -0.39153748989984805, -0.17119394752403927, 0.08465184809109713, -0.16692089249328193, -0.16850844389894823, 0.17746312665339145, -0.2218522971444246, -0.09463048167526722, 0.1844908192805532, 0.16704429207473165, -0.06605719384323391, -0.30130808267535436, 0.5270189742247263, 0.018079662281605933, 0.2590438556443486, 0.02025473899104529, 0.13729731002563816, 0.06553192568632464, -0.04425338857496778, -0.13302454569687447, -0.15313573596520452, 0.203943728029521, 0.43835476744506097, 0.02571716599373354, 0.1838612039864529, -0.29722057179444367, 0.0029068211766166818, 0.2549962113973581, 0.1902241314140459, 0.018775829890122015, 0.03642272263661855, -0.2678692260136207, 0.10631974706322783, -0.3243186963308189, -0.06842733937729564, -0.05890080322408014, 0.07203645771369338, -0.03915353616725446, -0.21231430452058297, -0.008235576691933803, 0.16119129246928626, 0.20562595038467812, -0.231806521032316, -0.10250852842970441, -0.08671407444894107, 0.09861847984656277, -0.14147507966521922, 0.0011793247152430315, 0.11081614698438595, -0.1905439603077765, -0.14070645300671458, 0.2869025894906372, 0.0068304205778986216, -0.19639561045914888, 0.14256679496934843, -0.180755106145322, -0.13516861107200384, 0.1429879175654302, 0.042883045389316976, 0.13503560304848683, -0.03355395488647951, 0.18635894601175096, -0.23008179395563072, -0.01716025411668751, 0.07291503762826324, -0.005502823895464341, 0.1532046938728955, 0.21563563603235203, -0.025766169264291722, 0.1414759006842764, 0.04755664202902052, 0.09755894268811163, -0.4616096201870177, -0.26419389048694736, -0.06035447048230304, 0.11793438208082484, -0.06071498098794513, -0.16050895479404265, 0.5846935202264123, 0.1399802410354217, 0.1912947323742426, 0.24703603023145762, 0.21924488650014004, -0.014224760321667418, 0.12615441862079832, 0.036968833029580615, 0.09040995009450449, 0.29458570739047396, -0.08665155512345438, -0.05519478828904943, -0.07573451844493523, 0.22183679859153926] |
710.2683 | On the dynamics of a twisted disc immersed in a radiation field | We study the dynamics of a twisted tilted disc under the influence of an
external radiation field. Assuming the effect of absorption and
reemission/scattering is that a pressure is applied to the disc surface where
the local optical depth is of order unity, we determine the response of the
vertical structure and the influence it has on the possibility of instability
to warping. We derive a pair of equations describing the evolution of a small
tilt as a function of radius in the small amplitude regime that applies to both
the diffusive and bending wave regimes. We also study the non linear vertical
response of the disc numerically using an analogous one dimensional slab model.
For global warps, we find that in order for the disc vertical structure to
respond as a quasi uniform shift or tilt, as has been assumed in previous work,
the product of the ratio of the external radiation momentum flux to the local
disc mid plane pressure, where it is absorbed, with the disc aspect ratio
should be significantly less than unity. Namely, this quantity should be of the
order of or smaller than the ratio of the disc gas density corresponding to the
layer intercepting radiation to the mid plane density, $\lambda \ll 1$. When
this condition is not satisfied the disc surface tends to adjust so that the
local normal becomes perpendicular to the radiation propagation direction. In
this case dynamical quantities determined by the disc twist and warp tend to
oscillate with a large characteristic period $T_{*}\sim \lambda^{-1}T_{K}$,
where $T_{K}$ is some 'typical' orbital period of a gas element in the disc.
The possibility of warping instability then becomes significantly reduced. In
addition, when the vertical response is non uniform, the possible production of
shocks may lead to an important dissipation mechanism.
| astro-ph | we study the dynamics of a twisted tilted disc under the influence of an external radiation field assuming the effect of absorption and reemissionscattering is that a pressure is applied to the disc surface where the local optical depth is of order unity we determine the response of the vertical structure and the influence it has on the possibility of instability to warping we derive a pair of equations describing the evolution of a small tilt as a function of radius in the small amplitude regime that applies to both the diffusive and bending wave regimes we also study the non linear vertical response of the disc numerically using an analogous one dimensional slab model for global warps we find that in order for the disc vertical structure to respond as a quasi uniform shift or tilt as has been assumed in previous work the product of the ratio of the external radiation momentum flux to the local disc mid plane pressure where it is absorbed with the disc aspect ratio should be significantly less than unity namely this quantity should be of the order of or smaller than the ratio of the disc gas density corresponding to the layer intercepting radiation to the mid plane density lambda ll 1 when this condition is not satisfied the disc surface tends to adjust so that the local normal becomes perpendicular to the radiation propagation direction in this case dynamical quantities determined by the disc twist and warp tend to oscillate with a large characteristic period t_sim lambda1t_k where t_k is some typical orbital period of a gas element in the disc the possibility of warping instability then becomes significantly reduced in addition when the vertical response is non uniform the possible production of shocks may lead to an important dissipation mechanism | [['we', 'study', 'the', 'dynamics', 'of', 'a', 'twisted', 'tilted', 'disc', 'under', 'the', 'influence', 'of', 'an', 'external', 'radiation', 'field', 'assuming', 'the', 'effect', 'of', 'absorption', 'and', 'reemissionscattering', 'is', 'that', 'a', 'pressure', 'is', 'applied', 'to', 'the', 'disc', 'surface', 'where', 'the', 'local', 'optical', 'depth', 'is', 'of', 'order', 'unity', 'we', 'determine', 'the', 'response', 'of', 'the', 'vertical', 'structure', 'and', 'the', 'influence', 'it', 'has', 'on', 'the', 'possibility', 'of', 'instability', 'to', 'warping', 'we', 'derive', 'a', 'pair', 'of', 'equations', 'describing', 'the', 'evolution', 'of', 'a', 'small', 'tilt', 'as', 'a', 'function', 'of', 'radius', 'in', 'the', 'small', 'amplitude', 'regime', 'that', 'applies', 'to', 'both', 'the', 'diffusive', 'and', 'bending', 'wave', 'regimes', 'we', 'also', 'study', 'the', 'non', 'linear', 'vertical', 'response', 'of', 'the', 'disc', 'numerically', 'using', 'an', 'analogous', 'one', 'dimensional', 'slab', 'model', 'for', 'global', 'warps', 'we', 'find', 'that', 'in', 'order', 'for', 'the', 'disc', 'vertical', 'structure', 'to', 'respond', 'as', 'a', 'quasi', 'uniform', 'shift', 'or', 'tilt', 'as', 'has', 'been', 'assumed', 'in', 'previous', 'work', 'the', 'product', 'of', 'the', 'ratio', 'of', 'the', 'external', 'radiation', 'momentum', 'flux', 'to', 'the', 'local', 'disc', 'mid', 'plane', 'pressure', 'where', 'it', 'is', 'absorbed', 'with', 'the', 'disc', 'aspect', 'ratio', 'should', 'be', 'significantly', 'less', 'than', 'unity', 'namely', 'this', 'quantity', 'should', 'be', 'of', 'the', 'order', 'of', 'or', 'smaller', 'than', 'the', 'ratio', 'of', 'the', 'disc', 'gas', 'density', 'corresponding', 'to', 'the', 'layer', 'intercepting', 'radiation', 'to', 'the', 'mid', 'plane', 'density', 'lambda', 'll', '1', 'when', 'this', 'condition', 'is', 'not', 'satisfied', 'the', 'disc', 'surface', 'tends', 'to', 'adjust', 'so', 'that', 'the', 'local', 'normal', 'becomes', 'perpendicular', 'to', 'the', 'radiation', 'propagation', 'direction', 'in', 'this', 'case', 'dynamical', 'quantities', 'determined', 'by', 'the', 'disc', 'twist', 'and', 'warp', 'tend', 'to', 'oscillate', 'with', 'a', 'large', 'characteristic', 'period', 't_sim', 'lambda1t_k', 'where', 't_k', 'is', 'some', 'typical', 'orbital', 'period', 'of', 'a', 'gas', 'element', 'in', 'the', 'disc', 'the', 'possibility', 'of', 'warping', 'instability', 'then', 'becomes', 'significantly', 'reduced', 'in', 'addition', 'when', 'the', 'vertical', 'response', 'is', 'non', 'uniform', 'the', 'possible', 'production', 'of', 'shocks', 'may', 'lead', 'to', 'an', 'important', 'dissipation', 'mechanism']] | [-0.15295075099274003, 0.15628825863038373, -0.07645015555297915, 0.04862518169366839, -0.07555627046852226, -0.062252684165911766, -0.00831219067433316, 0.3623577481831866, -0.298440163491783, -0.2678933798787043, 0.078199809357549, -0.23958350413852067, -0.09031848372775522, 0.16898582953809185, -0.008931733856535428, 0.006359815312179451, -0.026883170133306072, 0.011308708918039445, -0.052553740075259446, -0.20782079048194493, 0.3381624380103077, 0.09058218819570574, 0.2320453167174902, 0.013813268376619364, 0.03273177006272505, -0.01457705993913992, 0.02056955723938617, 0.05081487779610599, -0.15803675625290212, 0.04291299499452948, 0.15500581294520813, 0.021607233497536793, 0.2490706458746186, -0.4257004439441945, -0.20167921168489777, 0.08443686583076263, 0.1592175382979666, 0.08450035848388267, -0.002190679174954517, -0.16949334583301662, 0.07891639970832501, -0.17108247807933025, -0.18380277995051508, 0.010308073824177486, 0.06619448197052284, -0.006860815530316747, -0.29363974572044893, 0.0884046109434592, 0.08849285093560637, 0.04502150882064892, -0.08613937456546483, -0.06352401753065963, -0.07759566644288172, 0.0968109786250591, 0.09332794663755016, 0.08576974073763598, 0.18796751986252636, -0.1480858174637197, -0.00937923653402463, 0.3972661910823198, -0.1026721075562304, -0.1986708977185809, 0.18344914120730163, -0.2192714673231602, -0.044672480358676325, 0.16236955932614328, 0.17022604944328668, 0.11139852385058598, -0.0720811520260406, 0.06168434383137534, -0.03336750981957465, 0.1835486839050333, 0.08606742130849598, 0.005393285020521093, 0.24953082663254805, 0.11927761294117029, 0.08839349928884281, 0.15505921464767747, -0.14589494615828505, -0.07225373682667116, -0.27382913721029206, -0.14328053909250432, -0.134499446594357, 0.06590047209646697, -0.08848203390014361, -0.1870147263480708, 0.3737636166107323, 0.12467415887734662, 0.22931844453085903, 0.010448064636250939, 0.32106461528350005, 0.17317809292972902, 0.08754592606461112, 0.09154446506386729, 0.2903609150360763, 0.14203467277609289, 0.07732838802572703, -0.25801553111013825, 0.08105079005143107, 0.01696772329032622] |
710.2684 | Open charm in nuclear matter at finite temperature | We study the properties of open-charm mesons ($D$ and $\bar {D}$) in nuclear
matter at finite temperature within a self-consistent coupled-channel approach.
The meson-baryon interactions are adopted from a type of broken SU(4) s-wave
Tomozawa-Weinberg terms supplemented by an attractive scalar-isoscalar
attraction. The in-medium solution at finite temperature incorporates Pauli
blocking effects, mean-field binding on all the baryons involved, and $\pi$ and
open-charm meson self-energies in a self-consistent manner. In the $DN$ sector,
the $\Lambda_c$ and $\Sigma_c$ resonances, generated dynamically at 2593 MeV
and 2770 MeV in free space, remain close to their free-space position while
acquiring a remarkable width due to the thermal smearing of Pauli blocking as
well as from the nuclear matter density effects. As a result, the $D$ meson
spectral density shows a single pronounced peak for energies close to the $D$
meson free-space mass that broadens with increasing matter density with an
extended tail particularly towards lower energies. The $\bar D$ potential shows
a moderate repulsive behavior coming from the dominant I=1 contribution of the
$\bar D N$ interaction. The low-density theorem is, however, not a good
approximation for the $\bar D$ self-energy in spite of the absence of
resonance-hole contributions close to threshold in this case. We speculate the
possibility of $D$-mesic nuclei as well as discuss some consequences for the
$J/\Psi$ suppression in heavy-ion collisions, in particular for the future CBM
experiment at FAIR.
| nucl-th hep-ph | we study the properties of opencharm mesons d and bar d in nuclear matter at finite temperature within a selfconsistent coupledchannel approach the mesonbaryon interactions are adopted from a type of broken su4 swave tomozawaweinberg terms supplemented by an attractive scalarisoscalar attraction the inmedium solution at finite temperature incorporates pauli blocking effects meanfield binding on all the baryons involved and pi and opencharm meson selfenergies in a selfconsistent manner in the dn sector the lambda_c and sigma_c resonances generated dynamically at 2593 mev and 2770 mev in free space remain close to their freespace position while acquiring a remarkable width due to the thermal smearing of pauli blocking as well as from the nuclear matter density effects as a result the d meson spectral density shows a single pronounced peak for energies close to the d meson freespace mass that broadens with increasing matter density with an extended tail particularly towards lower energies the bar d potential shows a moderate repulsive behavior coming from the dominant i1 contribution of the bar d n interaction the lowdensity theorem is however not a good approximation for the bar d selfenergy in spite of the absence of resonancehole contributions close to threshold in this case we speculate the possibility of dmesic nuclei as well as discuss some consequences for the jpsi suppression in heavyion collisions in particular for the future cbm experiment at fair | [['we', 'study', 'the', 'properties', 'of', 'opencharm', 'mesons', 'd', 'and', 'bar', 'd', 'in', 'nuclear', 'matter', 'at', 'finite', 'temperature', 'within', 'a', 'selfconsistent', 'coupledchannel', 'approach', 'the', 'mesonbaryon', 'interactions', 'are', 'adopted', 'from', 'a', 'type', 'of', 'broken', 'su4', 'swave', 'tomozawaweinberg', 'terms', 'supplemented', 'by', 'an', 'attractive', 'scalarisoscalar', 'attraction', 'the', 'inmedium', 'solution', 'at', 'finite', 'temperature', 'incorporates', 'pauli', 'blocking', 'effects', 'meanfield', 'binding', 'on', 'all', 'the', 'baryons', 'involved', 'and', 'pi', 'and', 'opencharm', 'meson', 'selfenergies', 'in', 'a', 'selfconsistent', 'manner', 'in', 'the', 'dn', 'sector', 'the', 'lambda_c', 'and', 'sigma_c', 'resonances', 'generated', 'dynamically', 'at', '2593', 'mev', 'and', '2770', 'mev', 'in', 'free', 'space', 'remain', 'close', 'to', 'their', 'freespace', 'position', 'while', 'acquiring', 'a', 'remarkable', 'width', 'due', 'to', 'the', 'thermal', 'smearing', 'of', 'pauli', 'blocking', 'as', 'well', 'as', 'from', 'the', 'nuclear', 'matter', 'density', 'effects', 'as', 'a', 'result', 'the', 'd', 'meson', 'spectral', 'density', 'shows', 'a', 'single', 'pronounced', 'peak', 'for', 'energies', 'close', 'to', 'the', 'd', 'meson', 'freespace', 'mass', 'that', 'broadens', 'with', 'increasing', 'matter', 'density', 'with', 'an', 'extended', 'tail', 'particularly', 'towards', 'lower', 'energies', 'the', 'bar', 'd', 'potential', 'shows', 'a', 'moderate', 'repulsive', 'behavior', 'coming', 'from', 'the', 'dominant', 'i1', 'contribution', 'of', 'the', 'bar', 'd', 'n', 'interaction', 'the', 'lowdensity', 'theorem', 'is', 'however', 'not', 'a', 'good', 'approximation', 'for', 'the', 'bar', 'd', 'selfenergy', 'in', 'spite', 'of', 'the', 'absence', 'of', 'resonancehole', 'contributions', 'close', 'to', 'threshold', 'in', 'this', 'case', 'we', 'speculate', 'the', 'possibility', 'of', 'dmesic', 'nuclei', 'as', 'well', 'as', 'discuss', 'some', 'consequences', 'for', 'the', 'jpsi', 'suppression', 'in', 'heavyion', 'collisions', 'in', 'particular', 'for', 'the', 'future', 'cbm', 'experiment', 'at', 'fair']] | [-0.11193718421635787, 0.2201965416838804, -0.09974242299034168, 0.12886984960339334, -0.00404205596154088, -0.12561489448850385, 0.08214884189066368, 0.3175037374953816, -0.21508355394864528, -0.244009115924712, -0.06515701682391492, -0.3331705551308245, -0.029717211822729187, 0.08209856019407769, 0.08392494697518212, 0.04139864829759964, 0.024769725965424663, 0.06461262099799656, -0.07354582428783017, -0.15244106094663343, 0.31540414247081267, 0.036921602887508675, 0.1973018834560916, 0.18421235637440955, -0.027126301364727254, 0.05534052037839572, 0.02853218011607948, -0.04523489336007944, -0.11079609064384413, 0.010725418133061436, 0.25275968025298384, 0.007988666612614607, 0.205679103303489, -0.3704246541896424, -0.17687284441320106, 0.10509230853642994, 0.18663016650462885, 0.14355295240471858, -0.05073658677797716, -0.3151057103993492, 0.07252886849309387, -0.21065167208641639, -0.20842814022771916, -0.05714619688657455, 0.06301226097918056, -0.029693136468189024, -0.2810709445890507, 0.12714939842452155, -0.012898207897142995, 0.04259078454093209, -0.06836683076133072, -0.23538194099658882, -0.023159654271784864, 0.02678880336375915, 0.05890170202461511, 0.10518271708961786, 0.15675948821492008, -0.17508626444561576, -0.04861837801487221, 0.4201440695729671, -0.07442842847345099, -0.11858238256234047, 0.16631043439900334, -0.15474975962661514, -0.09983870081877683, 0.17081400628495977, 0.168292141223157, 0.054276934131872595, -0.13154908260975628, 0.11604918532947368, -0.017595324796842192, 0.14619662926242047, 0.09415068844276847, 0.10465504728495527, 0.18572586009861475, 0.17055876246750257, 0.005383543377879249, 0.07218813160192464, -0.08269587962372124, -0.09451562333327931, -0.3512800967490131, -0.051046360618217136, -0.13789224226805846, 0.05082804937621435, -0.0710979347896245, -0.09903109434072847, 0.34165223430765557, 0.048660468457778716, 0.2608329802539877, 0.012948413318825899, 0.29171140617751457, 0.08245714838657875, 0.06856760091261205, 0.09995973482324834, 0.26997652726620336, 0.21302461925363853, 0.09355598043658452, -0.3339465725854507, 0.022354382330282627, 0.008082664564647006] |
710.2685 | The Three Hat Problem | In this paper we study the Three Hat Problem which appeared in Puzzle Corner
of the Technology Review magazine. This puzzle gives a scenario in which three
players wearing hats are sitting together and each hat can be seen by everyone
except the player that is wearing that hat. Each player is told that all of the
hats contain a positive integer and that two of the integers add to the third.
In an ordered, turn-wise, modular fashion, each player truthfully states
whether or not he knows his integer. We give a strategy which allows for one of
the players to solve for his integer for all possible integer configurations of
the puzzle and prove it is the optimal such strategy.
| math.HO | in this paper we study the three hat problem which appeared in puzzle corner of the technology review magazine this puzzle gives a scenario in which three players wearing hats are sitting together and each hat can be seen by everyone except the player that is wearing that hat each player is told that all of the hats contain a positive integer and that two of the integers add to the third in an ordered turnwise modular fashion each player truthfully states whether or not he knows his integer we give a strategy which allows for one of the players to solve for his integer for all possible integer configurations of the puzzle and prove it is the optimal such strategy | [['in', 'this', 'paper', 'we', 'study', 'the', 'three', 'hat', 'problem', 'which', 'appeared', 'in', 'puzzle', 'corner', 'of', 'the', 'technology', 'review', 'magazine', 'this', 'puzzle', 'gives', 'a', 'scenario', 'in', 'which', 'three', 'players', 'wearing', 'hats', 'are', 'sitting', 'together', 'and', 'each', 'hat', 'can', 'be', 'seen', 'by', 'everyone', 'except', 'the', 'player', 'that', 'is', 'wearing', 'that', 'hat', 'each', 'player', 'is', 'told', 'that', 'all', 'of', 'the', 'hats', 'contain', 'a', 'positive', 'integer', 'and', 'that', 'two', 'of', 'the', 'integers', 'add', 'to', 'the', 'third', 'in', 'an', 'ordered', 'turnwise', 'modular', 'fashion', 'each', 'player', 'truthfully', 'states', 'whether', 'or', 'not', 'he', 'knows', 'his', 'integer', 'we', 'give', 'a', 'strategy', 'which', 'allows', 'for', 'one', 'of', 'the', 'players', 'to', 'solve', 'for', 'his', 'integer', 'for', 'all', 'possible', 'integer', 'configurations', 'of', 'the', 'puzzle', 'and', 'prove', 'it', 'is', 'the', 'optimal', 'such', 'strategy']] | [-0.11474579055793584, 0.11542025516500871, -0.13072515572227228, 0.034601081014261584, -0.12189319112803787, -0.29044293860982484, 0.0532240145461401, 0.35501176794059575, -0.2709707752762673, -0.2840949572312335, 0.09663396590622142, -0.3358534840033826, -0.1649473777913954, 0.0863686404171555, -0.12917285108705984, -0.04540019506045307, 0.025800970522686838, 0.11042160072829574, 0.046068571212526874, -0.330374074059849, 0.31969335237517954, -0.061617486248724165, 0.15197335983005664, 0.043439631754881705, 0.1192547963631417, 0.03413992355150792, 0.026850143591097244, 0.034652576533456644, -0.11272428177799157, 0.058999870663683396, 0.2882692684729894, 0.16763028919619197, 0.3526749008218758, -0.4104858822034051, -0.07932434935355559, 0.1492467197822407, 0.10990511324101439, 0.08862227668772296, -0.02131849745831763, -0.2183630185512205, 0.10541923394678937, -0.16328885730666418, -0.11163563256074364, -0.006064760071846346, 0.03866826111140351, -0.05535718528747869, -0.2816342097513067, -0.05531778880783046, 0.0638210471952334, 0.007838349265512079, -0.0318662472035309, -0.1894458631752059, 0.010736137904071559, 0.20332251668248016, 0.04179538779523379, 0.05517571617868574, 0.07686266722545648, -0.12828450272403036, -0.1910919228704491, 0.39934205420625707, -0.01408941131424702, -0.18445079092634842, 0.08799719061547269, -0.13934202498833959, -0.15265387899125926, 0.06988440573525925, 0.0963036397472024, 0.14118094206717918, -0.0920560314397638, 0.05279244549504559, -0.1496227089393263, 0.17063863347284497, 0.08968970738739396, 0.014159648411441595, 0.22885703089026113, 0.07326406403444707, 0.12433129950271299, 0.10105548830761109, 0.01465906264881293, -0.09062594759404116, -0.311029021711632, -0.20047657303512095, -0.16463502660238494, 0.06999949671068559, -0.005320964955050537, -0.14809208849134545, 0.3962398526067166, 0.14529464865336195, 0.16682482709487279, 0.02542043762805406, 0.27187908560348056, 0.06455774157463262, 0.036612868369653974, 0.08935392451627801, 0.17159574090813598, -0.013445591637476658, 0.09169524079576756, -0.1756673820122766, 0.09475337078717226, 0.08039865345926955] |
710.2686 | Mean first passage time for a Markovian jumping process | We consider a Markovian jumping process with two absorbing barriers, for
which the waiting-time distribution involves a position-dependent coefficient.
We solve the Fokker-Planck equation with boundary conditions and calculate the
mean first passage time (MFPT) which appears always finite, also for the
subdiffusive case. Then, for the case of the jumping-size distribution in form
of the L\'evy distribution, we determine the probability density distributions
and MFPT by means of numerical simulations. Dependence of the results on
process parameters, as well as on the L\'evy distribution width, is discussed.
| cond-mat.stat-mech | we consider a markovian jumping process with two absorbing barriers for which the waitingtime distribution involves a positiondependent coefficient we solve the fokkerplanck equation with boundary conditions and calculate the mean first passage time mfpt which appears always finite also for the subdiffusive case then for the case of the jumpingsize distribution in form of the levy distribution we determine the probability density distributions and mfpt by means of numerical simulations dependence of the results on process parameters as well as on the levy distribution width is discussed | [['we', 'consider', 'a', 'markovian', 'jumping', 'process', 'with', 'two', 'absorbing', 'barriers', 'for', 'which', 'the', 'waitingtime', 'distribution', 'involves', 'a', 'positiondependent', 'coefficient', 'we', 'solve', 'the', 'fokkerplanck', 'equation', 'with', 'boundary', 'conditions', 'and', 'calculate', 'the', 'mean', 'first', 'passage', 'time', 'mfpt', 'which', 'appears', 'always', 'finite', 'also', 'for', 'the', 'subdiffusive', 'case', 'then', 'for', 'the', 'case', 'of', 'the', 'jumpingsize', 'distribution', 'in', 'form', 'of', 'the', 'levy', 'distribution', 'we', 'determine', 'the', 'probability', 'density', 'distributions', 'and', 'mfpt', 'by', 'means', 'of', 'numerical', 'simulations', 'dependence', 'of', 'the', 'results', 'on', 'process', 'parameters', 'as', 'well', 'as', 'on', 'the', 'levy', 'distribution', 'width', 'is', 'discussed']] | [-0.07166351500969519, 0.150994497945468, -0.11883625453445075, 0.07682101712476003, -0.006111787387234126, -0.11328034690613377, 0.03523828714400872, 0.3932724504720891, -0.2704259584411636, -0.24516013365281725, 0.08671196416186319, -0.2596994711557168, -0.13096253606009073, 0.17735936707849131, 0.0040650928510759755, 0.10961655456165986, 0.021477201265743238, 0.045820869799789, -0.021548085867416585, -0.188793867529402, 0.3449894807290757, 0.029651354077732426, 0.2574277514185028, 0.04817257151302036, 0.1250433130510922, 0.02214470947825018, -0.017068928027332855, -0.029951912993244057, -0.2075844380854704, 0.008510641939670447, 0.14412586947624711, 0.019040873338436258, 0.2636997259072103, -0.3856000920179589, -0.23358042525320216, 0.11157762481370705, 0.16155808838619584, 0.07673197533485704, -0.03404699495709876, -0.26920974215669236, 0.008029179853633389, -0.15926927381634026, -0.21379650666126873, 0.0008028975543070948, 0.09044374780322628, 0.09859639265970595, -0.31563951257594874, 0.1509659217597633, 0.027136821215490586, -0.010937061920847702, -0.07921216160529988, -0.10730201087292583, 0.010633528136230749, 0.11854803556410445, 0.053580755668280154, -0.08682339110722144, 0.1449529309221811, -0.10797156736083414, -0.10227299989040556, 0.3519335149990759, -0.11976433207077541, -0.2635366590372447, 0.11644625067496779, -0.20304727305667528, -0.08848597187663954, 0.12381098809084673, 0.1459711109202398, 0.16003366930399562, -0.17119687371726694, 0.07835880211880966, -0.010422212933457789, 0.0943945094236526, 0.06512583887482855, -0.04667098939033418, 0.11113493695812321, 0.14426934103556405, 0.11313444564932551, 0.16833802977116544, -0.1258589473215799, -0.22367634600156855, -0.35047725836435956, -0.1708632269285448, -0.2448956897996109, 0.08358669958088076, -0.1323187239772517, -0.19773205174748712, 0.3812641774266744, 0.12962884208904688, 0.2556982711813916, 0.1391863705638539, 0.23400187355348434, 0.2626668206207326, -0.05056593443157323, 0.07281611353458686, 0.11409183507035861, 0.15296915816089632, 0.07932968256759575, -0.23524435445393338, 0.14971659878461524, 0.06236613473330421] |
710.2687 | Logarithmic tensor product theory for generalized modules for a
conformal vertex algebra | We generalize the tensor product theory for modules for a vertex operator
algebra previously developed in a series of papers by the first two authors to
suitable module categories for a ''conformal vertex algebra'' or even more
generally, for a "M\"obius vertex algebra.'' We do not require the module
categories to be semisimple, and we accommodate modules with generalized weight
spaces. As in the earlier series of papers, our tensor product functors depend
on a complex variable, but in the present generality, the logarithm of the
complex variable is required; the general representation theory of vertex
operator algebras requires logarithmic structure. The first part of this work
is devoted to the study of logarithmic intertwining operators and their role in
the construction of the tensor product functors. The remainder of this work is
devoted to the construction of the appropriate natural associativity
isomorphisms between triple tensor product functors, to the proof of their
fundamental properties, and to the construction of the resulting braided tensor
category structure. This work includes the complete proofs in the present
generality and can be read independently of the earlier series of papers.
| math.QA hep-th math.RT | we generalize the tensor product theory for modules for a vertex operator algebra previously developed in a series of papers by the first two authors to suitable module categories for a conformal vertex algebra or even more generally for a mobius vertex algebra we do not require the module categories to be semisimple and we accommodate modules with generalized weight spaces as in the earlier series of papers our tensor product functors depend on a complex variable but in the present generality the logarithm of the complex variable is required the general representation theory of vertex operator algebras requires logarithmic structure the first part of this work is devoted to the study of logarithmic intertwining operators and their role in the construction of the tensor product functors the remainder of this work is devoted to the construction of the appropriate natural associativity isomorphisms between triple tensor product functors to the proof of their fundamental properties and to the construction of the resulting braided tensor category structure this work includes the complete proofs in the present generality and can be read independently of the earlier series of papers | [['we', 'generalize', 'the', 'tensor', 'product', 'theory', 'for', 'modules', 'for', 'a', 'vertex', 'operator', 'algebra', 'previously', 'developed', 'in', 'a', 'series', 'of', 'papers', 'by', 'the', 'first', 'two', 'authors', 'to', 'suitable', 'module', 'categories', 'for', 'a', 'conformal', 'vertex', 'algebra', 'or', 'even', 'more', 'generally', 'for', 'a', 'mobius', 'vertex', 'algebra', 'we', 'do', 'not', 'require', 'the', 'module', 'categories', 'to', 'be', 'semisimple', 'and', 'we', 'accommodate', 'modules', 'with', 'generalized', 'weight', 'spaces', 'as', 'in', 'the', 'earlier', 'series', 'of', 'papers', 'our', 'tensor', 'product', 'functors', 'depend', 'on', 'a', 'complex', 'variable', 'but', 'in', 'the', 'present', 'generality', 'the', 'logarithm', 'of', 'the', 'complex', 'variable', 'is', 'required', 'the', 'general', 'representation', 'theory', 'of', 'vertex', 'operator', 'algebras', 'requires', 'logarithmic', 'structure', 'the', 'first', 'part', 'of', 'this', 'work', 'is', 'devoted', 'to', 'the', 'study', 'of', 'logarithmic', 'intertwining', 'operators', 'and', 'their', 'role', 'in', 'the', 'construction', 'of', 'the', 'tensor', 'product', 'functors', 'the', 'remainder', 'of', 'this', 'work', 'is', 'devoted', 'to', 'the', 'construction', 'of', 'the', 'appropriate', 'natural', 'associativity', 'isomorphisms', 'between', 'triple', 'tensor', 'product', 'functors', 'to', 'the', 'proof', 'of', 'their', 'fundamental', 'properties', 'and', 'to', 'the', 'construction', 'of', 'the', 'resulting', 'braided', 'tensor', 'category', 'structure', 'this', 'work', 'includes', 'the', 'complete', 'proofs', 'in', 'the', 'present', 'generality', 'and', 'can', 'be', 'read', 'independently', 'of', 'the', 'earlier', 'series', 'of', 'papers']] | [-0.11655176063298552, 0.0427120116086089, -0.07385272477917812, 0.047067216069581995, -0.1438982687046363, -0.07946754960507593, -0.020114090579703828, 0.34173853334816384, -0.3280006151790805, -0.23340818586256257, 0.11042332340076685, -0.2143231954495298, -0.17504120345307106, 0.13103684602133472, -0.11501268050907289, 0.0021972214743335616, 0.08348989656025713, 0.09279254739755456, -0.09727018541017707, -0.2824478008047264, 0.460202412286345, 0.063696540673612, 0.24760981546316474, 0.04674911689894762, 0.08340551842621623, 0.03444451749832793, -0.1029326938662957, -0.023392035979478754, -0.11152903412102677, 0.16832182100565635, 0.2961184913143117, 0.07691907916307689, 0.23303932428701138, -0.42203277885605067, -0.09987295409094886, 0.12371529190039093, 0.11006204863103794, 0.052251796519513276, 0.029045497503285396, -0.24419846411615131, 0.071449418435182, -0.2518945582370388, -0.10651611728235123, -0.09434730857411489, 0.052822347496322454, -0.030279981815330884, -0.2566592052988559, 0.02726637730175719, 0.113629539784811, 0.07426853197063991, -0.07519431301781081, -0.09988323151679301, -0.013312010870210547, 0.13290255174494006, -0.014987472269215926, 0.021533422812042548, 0.10594891446747165, -0.11789451845931537, -0.14681688675228605, 0.34400069961613194, -0.038110364514856256, -0.22971621813641036, 0.14393589545861832, -0.16026852143564843, -0.19247446358602316, 0.06797351962314012, 0.08206558947321924, 0.1565356274523877, -0.10364026296448042, 0.1612696983206539, -0.07142405119789316, 0.0658422095232947, 0.07826339938045344, 0.04204400247716181, 0.11519335278055885, 0.10556595252184346, 0.029171736763396804, 0.1705304459745891, 0.07122503456480322, -0.05987614272803536, -0.36067599775817466, -0.21323586857232096, -0.1285767017061857, 0.07273266307599058, -0.082744259603588, -0.19283107769262184, 0.468345479581525, 0.11058810620684174, 0.17548498456188313, 0.10086292581493284, 0.2360306646834242, 0.10259988230035545, 0.16363305279257942, 0.009205397599461403, 0.18191954531373186, 0.23806390864650076, 0.07738712784039843, -0.10358640772195901, 0.000396626872753844, 0.2094837798971065] |
710.2688 | On the invariant thermal Proca - Klein - Gordon equation | In this paper we discuss the invariant thermal Proca - Klein - Gordon
equation (PKG). We argue that for the thermal PKG equation the absolute
velocity is equal v = alpha*c, where alpha is the fine stucture constant for
electromagnetic interaction.
| physics.gen-ph | in this paper we discuss the invariant thermal proca klein gordon equation pkg we argue that for the thermal pkg equation the absolute velocity is equal v alphac where alpha is the fine stucture constant for electromagnetic interaction | [['in', 'this', 'paper', 'we', 'discuss', 'the', 'invariant', 'thermal', 'proca', 'klein', 'gordon', 'equation', 'pkg', 'we', 'argue', 'that', 'for', 'the', 'thermal', 'pkg', 'equation', 'the', 'absolute', 'velocity', 'is', 'equal', 'v', 'alphac', 'where', 'alpha', 'is', 'the', 'fine', 'stucture', 'constant', 'for', 'electromagnetic', 'interaction']] | [-0.1923754441944, 0.18133798315140762, -0.06424729354483516, 0.07947501776997294, -0.14227782345474943, -0.14379112564615512, -0.023664552764354373, 0.32791653187259245, -0.26057805385636656, -0.27435983050810664, -0.007929745880813388, -0.28435137027286383, -0.13722886679399954, 0.14781093107242332, 0.003895058100552935, 0.007077473604113038, 0.015848243768375955, 0.08784144489388716, -0.051724395586030654, -0.20426815395292483, 0.383983651176095, -0.0055284336895534865, 0.20438136191009298, 0.08682371911249663, 0.1338683018019717, 0.0005283980924440058, -0.01663082487587082, 0.002629999267427545, -0.20783978203823944, 0.001403037997844972, 0.11875669582360915, 0.0014043046884532821, 0.21452507664492404, -0.3264281514443849, -0.17903976250243814, 0.11001128958244073, 0.12429726278213293, 0.07588160430130206, -0.022932943615351656, -0.24160780282200953, 0.0705381442155493, -0.14950336751184964, -0.2201506533218842, -0.011900060834657205, 0.13124094707401177, -0.01331687506937765, -0.22725415619482336, 0.14816228017566332, 0.04973928752588108, -0.016121047432534397, -0.1244308814210327, -0.13852637843228877, -0.00022665901403678092, 0.013588548490875646, 0.021399375333107616, 0.032015126535521916, 0.09334149718970845, -0.1336037743481268, -0.04689862498229271, 0.39743658668655707, -0.16637460090906211, -0.2363257490122985, 0.0641246658480285, -0.151209509294284, -0.11233805903037519, 0.09414671745616943, 0.08930091589297119, 0.11774831368146758, -0.12058938510323826, 0.20356669029417007, -0.08467472344636917, 0.12122858236053664, 0.10853558916010354, -0.024600921774675186, 0.11519195884466171, 0.07710153418348024, 0.04092722696154133, 0.08431944077050216, -0.05997988071880842, -0.023632722833242855, -0.32866344870509284, -0.2380551194012361, -0.1453513007145375, 0.16205062997821523, -0.11126752288691932, -0.15582598145364931, 0.33522186232240575, 0.17096924703372152, 0.12326391256953541, 0.03485554231232718, 0.30840770912503723, 0.20947486894989484, 0.002669454705411274, 0.110846774186939, 0.26426170295790624, 0.14667332020441168, 0.1328401243020045, -0.29895345780900434, -0.03344286443959726, 0.11096258679600923] |
710.2689 | Evanescent states in 2D electron systems with spin-orbit interaction and
spin-dependent transmission through a barrier | We find that the total spectrum of electron states in a bounded 2D electron
gas with spin-orbit interaction contains two types of evanescent states lying
in different energy ranges. The first-type states fill in a gap, which opens in
the band of propagating spin-splitted states if tangential momentum is nonzero.
They are described by a pure imaginary wavevector. The states of second type
lie in the forbidden band. They are described by a complex wavevector. These
states give rise to unusual features of the electron transmission through a
lateral potential barrier with spin-orbit interaction, such as an oscillatory
dependence of the tunneling coefficient on the barrier width and electron
energy. But of most interest is the spin polarization of an unpolarized
incident electron flow. Particularly, the transmitted electron current acquires
spin polarization even if the distribution function of incident electrons is
symmetric with respect to the transverse momentum. The polarization efficiency
is an oscillatory function of the barrier width. Spin filtering is most
effective, if the Fermi energy is close to the barrier height.
| cond-mat.mes-hall | we find that the total spectrum of electron states in a bounded 2d electron gas with spinorbit interaction contains two types of evanescent states lying in different energy ranges the firsttype states fill in a gap which opens in the band of propagating spinsplitted states if tangential momentum is nonzero they are described by a pure imaginary wavevector the states of second type lie in the forbidden band they are described by a complex wavevector these states give rise to unusual features of the electron transmission through a lateral potential barrier with spinorbit interaction such as an oscillatory dependence of the tunneling coefficient on the barrier width and electron energy but of most interest is the spin polarization of an unpolarized incident electron flow particularly the transmitted electron current acquires spin polarization even if the distribution function of incident electrons is symmetric with respect to the transverse momentum the polarization efficiency is an oscillatory function of the barrier width spin filtering is most effective if the fermi energy is close to the barrier height | [['we', 'find', 'that', 'the', 'total', 'spectrum', 'of', 'electron', 'states', 'in', 'a', 'bounded', '2d', 'electron', 'gas', 'with', 'spinorbit', 'interaction', 'contains', 'two', 'types', 'of', 'evanescent', 'states', 'lying', 'in', 'different', 'energy', 'ranges', 'the', 'firsttype', 'states', 'fill', 'in', 'a', 'gap', 'which', 'opens', 'in', 'the', 'band', 'of', 'propagating', 'spinsplitted', 'states', 'if', 'tangential', 'momentum', 'is', 'nonzero', 'they', 'are', 'described', 'by', 'a', 'pure', 'imaginary', 'wavevector', 'the', 'states', 'of', 'second', 'type', 'lie', 'in', 'the', 'forbidden', 'band', 'they', 'are', 'described', 'by', 'a', 'complex', 'wavevector', 'these', 'states', 'give', 'rise', 'to', 'unusual', 'features', 'of', 'the', 'electron', 'transmission', 'through', 'a', 'lateral', 'potential', 'barrier', 'with', 'spinorbit', 'interaction', 'such', 'as', 'an', 'oscillatory', 'dependence', 'of', 'the', 'tunneling', 'coefficient', 'on', 'the', 'barrier', 'width', 'and', 'electron', 'energy', 'but', 'of', 'most', 'interest', 'is', 'the', 'spin', 'polarization', 'of', 'an', 'unpolarized', 'incident', 'electron', 'flow', 'particularly', 'the', 'transmitted', 'electron', 'current', 'acquires', 'spin', 'polarization', 'even', 'if', 'the', 'distribution', 'function', 'of', 'incident', 'electrons', 'is', 'symmetric', 'with', 'respect', 'to', 'the', 'transverse', 'momentum', 'the', 'polarization', 'efficiency', 'is', 'an', 'oscillatory', 'function', 'of', 'the', 'barrier', 'width', 'spin', 'filtering', 'is', 'most', 'effective', 'if', 'the', 'fermi', 'energy', 'is', 'close', 'to', 'the', 'barrier', 'height']] | [-0.19607713763052115, 0.2330630816606739, -0.044905056462398375, 0.05649161551431378, -0.042706156277964855, -0.13395475101892718, 0.002941466118583734, 0.39737737546514335, -0.28500945797730665, -0.2927977807766988, -0.03632648636910786, -0.3197473644509098, -0.04886069820307987, 0.1752061404972926, 0.05788799927398648, 0.0024204188810618616, 0.002541063845842734, 0.003797351730580645, -0.07156255034242767, -0.15187901562486572, 0.34154455852159565, 0.04363440036447184, 0.26829336569698037, 0.13892781059140602, 0.07285412104436378, 0.06172311002918487, 0.07127684063877611, -0.021379621405068827, -0.09169716854873629, 0.06357100117087214, 0.24876559759963882, -0.051008987955042516, 0.20473414142940585, -0.40748557835902977, -0.18074200986670438, 0.041896186231089566, 0.1484477808190531, 0.12776300809065136, -0.04964395115572167, -0.24332106002638565, -0.012836843868182308, -0.15175908355673925, -0.18636668822928815, -0.016250050824735015, 0.04874292095245301, 0.019192228353336113, -0.24072184009295514, 0.12069503693147589, 0.04676836556166239, 0.025157512074614734, -0.08006828939729509, -0.11221118068226196, -0.13234171650276103, 0.0527392396885345, 0.05270785432383846, 0.039058434746854394, 0.15714797731917138, -0.14657945448821064, -0.09311566898203187, 0.3364492326054251, -0.059427309775960516, -0.20398558225835964, 0.13216938088305466, -0.20725699464105413, 0.027349905268123222, 0.2174423955562899, 0.11916213314552074, 0.08317511197147441, -0.08847590739539044, 0.10661713568597092, -0.02535396845724926, 0.15138829775200086, 0.10097564704951713, 0.08955276989506493, 0.26550546824268395, 0.130462896753231, 0.10144754790904364, 0.10286871150896039, -0.15536987662767648, -0.05406424079101062, -0.2739242954372332, -0.14457705325461073, -0.23868984443365715, 0.07798346323656967, -0.033735165999979506, -0.1875529361684036, 0.47496882149542885, 0.06928320965012429, 0.2184672943455563, -0.03999873217470923, 0.2829024780209808, 0.1927134936197725, 0.06403660798450696, 0.0825318639626962, 0.2580550317384902, 0.16622097499604369, 0.07947099952819361, -0.26428646812280343, 0.048424688680532346, -0.028649084738087065] |
710.269 | Another introduction to the geometry of metric spaces | Here Lipschitz conditions are used as a primary tool, for studying curves in
metric spaces in particular.
| math.MG | here lipschitz conditions are used as a primary tool for studying curves in metric spaces in particular | [['here', 'lipschitz', 'conditions', 'are', 'used', 'as', 'a', 'primary', 'tool', 'for', 'studying', 'curves', 'in', 'metric', 'spaces', 'in', 'particular']] | [-0.07541785383706584, 0.09895005196278148, -0.13785654755637927, 0.210702009334722, -0.06339797135168578, -0.13571022656362722, -0.0734148753039977, 0.4449707423062885, -0.2668759467847207, -0.2063232649336843, 0.18305501608890207, -0.18726244768785202, -0.20992273903068373, 0.3592665103428504, -0.15125710048767574, 0.12183180522611912, 0.025656333083615583, 0.016785725951194763, -0.06309260285514243, -0.20166422908796983, 0.45212387425058026, -0.003854748628595296, 0.2080406752305434, 0.050302163314293415, 0.03689580284716452, 0.005676496554823483, -0.026808719643775153, 0.06411091495743569, -0.20309160036199234, 0.1049746503943906, 0.35055648184874477, 0.11181617845945499, 0.26500343071187243, -0.3654672836556154, -0.2523390030050102, 0.19939994444961057, 0.11163607302724439, 0.00494656667989843, -0.08652958739548922, -0.23336730097584865, 0.08690991466317106, -0.05389901513562483, -0.21511726037544363, -0.1277992458027952, 0.023002030875752952, 0.05840388742987724, -0.2939104261287652, -0.02433764244265416, 0.05120492847088505, 0.1135479772792143, -0.17715318520169923, -0.016447852256105226, -0.04165380732978091, 0.1833574858165401, 0.013863230671952753, 0.09484767004409257, 0.06136223783387857, -0.08691232470685945, -0.08753051770412747, 0.4145726752193535, -0.13313927742488244, -0.2856989818460801, 0.1775914279415327, -0.10150036160998485, -0.1909061602097662, -0.0004707314074039459, 0.24793177623959148, 0.2222422974951127, -0.2127015100353781, 0.10703447981573203, 0.021583684774882653, 0.03015314053524943, 0.08474929540363305, 0.09969108644872904, 0.1267185985822888, 0.16084522829281495, 0.0943378207328565, 0.165415547301938, -0.007906546487527736, -0.021938251451287857, -0.3478537962278899, -0.19627869950936122, -0.12919840457684853, 0.014857873621889773, -0.10572837646502782, -0.1809060015332173, 0.34365267657181797, 0.03438972155837452, 0.14292238608879201, 0.036760172751896525, 0.22960427052834453, 0.022495366571306744, -0.03112415339359466, 0.03808303051354254, 0.2308656645610052, 0.20465111918747425, 0.07463662479730214, -0.0604873884414487, 0.09017706547370728, 0.13236116497393915] |
710.2691 | V1647 Orionis: One Year into Quiescence | We present new optical, near-IR, and mid-IR observations of the young
eruptive variable star V1647 Orionis that went into outburst in late 2004 for
approximately two years. Our observations were taken one year after the star
had faded to its pre-outburst optical brightness and show that V1647Ori is
still actively accreting circumstellar material. We compare and contrast these
data with existing observations of the source from both pre-outburst and
outburst phases. From near-IR spectroscopy we identify photospheric absorption
features for the first time that allow us to constrain the classification of
the young star itself. Our best fit spectral type is M0+-2 sub-classes with a
visual extinction of 19+-2 magnitudes and a K-band veiling of rK~1.5+-0.2. We
estimate that V1647Ori has a quiescent bolometric luminosity of ~9.5Lsun and a
mass accretion rate of ~1.10^-6Msun yr^-1. Our derived mass and age, from
comparison with evolutionary models, are 0.8+-0.2 Msun and ~0.5Myrs,
respectively. The presence towards the star of shock excited optical [S II] and
[Fe II] emission as well as near-IR H2 and [Fe II] emission perhaps suggests
that a new Herbig-Haro flow is becoming visible close to the star.
| astro-ph | we present new optical nearir and midir observations of the young eruptive variable star v1647 orionis that went into outburst in late 2004 for approximately two years our observations were taken one year after the star had faded to its preoutburst optical brightness and show that v1647ori is still actively accreting circumstellar material we compare and contrast these data with existing observations of the source from both preoutburst and outburst phases from nearir spectroscopy we identify photospheric absorption features for the first time that allow us to constrain the classification of the young star itself our best fit spectral type is m02 subclasses with a visual extinction of 192 magnitudes and a kband veiling of rk1502 we estimate that v1647ori has a quiescent bolometric luminosity of 95lsun and a mass accretion rate of 1106msun yr1 our derived mass and age from comparison with evolutionary models are 0802 msun and 05myrs respectively the presence towards the star of shock excited optical s ii and fe ii emission as well as nearir h2 and fe ii emission perhaps suggests that a new herbigharo flow is becoming visible close to the star | [['we', 'present', 'new', 'optical', 'nearir', 'and', 'midir', 'observations', 'of', 'the', 'young', 'eruptive', 'variable', 'star', 'v1647', 'orionis', 'that', 'went', 'into', 'outburst', 'in', 'late', '2004', 'for', 'approximately', 'two', 'years', 'our', 'observations', 'were', 'taken', 'one', 'year', 'after', 'the', 'star', 'had', 'faded', 'to', 'its', 'preoutburst', 'optical', 'brightness', 'and', 'show', 'that', 'v1647ori', 'is', 'still', 'actively', 'accreting', 'circumstellar', 'material', 'we', 'compare', 'and', 'contrast', 'these', 'data', 'with', 'existing', 'observations', 'of', 'the', 'source', 'from', 'both', 'preoutburst', 'and', 'outburst', 'phases', 'from', 'nearir', 'spectroscopy', 'we', 'identify', 'photospheric', 'absorption', 'features', 'for', 'the', 'first', 'time', 'that', 'allow', 'us', 'to', 'constrain', 'the', 'classification', 'of', 'the', 'young', 'star', 'itself', 'our', 'best', 'fit', 'spectral', 'type', 'is', 'm02', 'subclasses', 'with', 'a', 'visual', 'extinction', 'of', '192', 'magnitudes', 'and', 'a', 'kband', 'veiling', 'of', 'rk1502', 'we', 'estimate', 'that', 'v1647ori', 'has', 'a', 'quiescent', 'bolometric', 'luminosity', 'of', '95lsun', 'and', 'a', 'mass', 'accretion', 'rate', 'of', '1106msun', 'yr1', 'our', 'derived', 'mass', 'and', 'age', 'from', 'comparison', 'with', 'evolutionary', 'models', 'are', '0802', 'msun', 'and', '05myrs', 'respectively', 'the', 'presence', 'towards', 'the', 'star', 'of', 'shock', 'excited', 'optical', 's', 'ii', 'and', 'fe', 'ii', 'emission', 'as', 'well', 'as', 'nearir', 'h2', 'and', 'fe', 'ii', 'emission', 'perhaps', 'suggests', 'that', 'a', 'new', 'herbigharo', 'flow', 'is', 'becoming', 'visible', 'close', 'to', 'the', 'star']] | [0.025115184690434323, 0.079621276213874, -0.06519471081177312, 0.07121108125200587, -0.1319541204364492, -0.12818371329476924, 0.06258537009920762, 0.49216331889639137, -0.1676408082318029, -0.33828792851316475, 0.11778357464570777, -0.3057516880557348, -0.031037382297077892, 0.18630519059176245, -0.08768286644522671, -0.04531411815446145, 0.11118316080019162, -0.08333619391861183, -0.055344462038470744, -0.258951981009946, 0.2801095540310852, 0.02794543813272822, 0.11361182374304639, -0.023075751153640245, 0.04350839975185672, -0.12226615514691482, -0.1049613848868045, -0.07718238648271462, -0.14526375513648662, 0.04959739357916272, 0.22275409598344104, 0.16544212515420112, 0.1890586667129251, -0.32472191340432505, -0.2206270939618339, 0.023539362882411544, 0.18234415581103802, -0.0067426741754259565, -0.03547633418436747, -0.26008777268856886, 0.015767580035487394, -0.1804805978995244, -0.1325244613073237, 0.0779041823545532, 0.09860742620390947, 0.017654577002967478, -0.2514012966259215, 0.12108256453883585, 0.02009783152814018, 0.08897584551993676, -0.17910646834051938, -0.08341696090955551, -0.10519675164905891, 0.08254388636079886, 0.031100700340294815, 0.10246079378695191, 0.13281330007734032, -0.1533558266186486, -0.045833667936159776, 0.37227146066928823, -0.11248031507571905, 0.10637934612430876, 0.2527124028884465, -0.19966069570892997, -0.1568962236423595, 0.19584393025442062, 0.12073656227541425, 0.11187242923108505, -0.1614076560821201, -0.05665088375925997, -0.008275989712791039, 0.22713130552708452, 0.03733469412249864, 0.09793851780069004, 0.3235824455512189, 0.14015655604806918, -0.04171977984551035, 0.11906780259775333, -0.30110907818246735, -0.019104115736207676, -0.23027314128649365, -0.1175825655730085, -0.12348214936152589, 0.13221653661680474, -0.13259114873995673, -0.0927441093862016, 0.37415133411563484, 0.1054831802192312, 0.2215020948425546, 0.04544107086162587, 0.2787609847995346, 0.09795687848999791, 0.08263485567501741, 0.15991951142376687, 0.3490419822625429, 0.17740419782606548, 0.15882139394945297, -0.256850665678204, 0.07944529503838368, 0.014620864501126273] |
710.2692 | Nanomorphology of the blue iridescent wings of a giant tropical wasp,
"Megascolia procer javanensis" (Hymenoptera) | The wings of the giant wasp "Megascolia Procer Javanensis" are opaque and
iridescent. The origin of the blue-green iridescence is studied in detail,
using reflection spectroscopy, scanning electron microscopy and physical
modelling. It is shown that the structure responsible for the iridescence is a
single homogeneous transparent chitin layer covering the whole surface of each
wing. The opacity is essentially due to the presence of melanin in the
stratified medium which forms the mechanical core of the wing.
| physics.optics cond-mat.soft physics.bio-ph | the wings of the giant wasp megascolia procer javanensis are opaque and iridescent the origin of the bluegreen iridescence is studied in detail using reflection spectroscopy scanning electron microscopy and physical modelling it is shown that the structure responsible for the iridescence is a single homogeneous transparent chitin layer covering the whole surface of each wing the opacity is essentially due to the presence of melanin in the stratified medium which forms the mechanical core of the wing | [['the', 'wings', 'of', 'the', 'giant', 'wasp', 'megascolia', 'procer', 'javanensis', 'are', 'opaque', 'and', 'iridescent', 'the', 'origin', 'of', 'the', 'bluegreen', 'iridescence', 'is', 'studied', 'in', 'detail', 'using', 'reflection', 'spectroscopy', 'scanning', 'electron', 'microscopy', 'and', 'physical', 'modelling', 'it', 'is', 'shown', 'that', 'the', 'structure', 'responsible', 'for', 'the', 'iridescence', 'is', 'a', 'single', 'homogeneous', 'transparent', 'chitin', 'layer', 'covering', 'the', 'whole', 'surface', 'of', 'each', 'wing', 'the', 'opacity', 'is', 'essentially', 'due', 'to', 'the', 'presence', 'of', 'melanin', 'in', 'the', 'stratified', 'medium', 'which', 'forms', 'the', 'mechanical', 'core', 'of', 'the', 'wing']] | [-0.10479642817090887, 0.13542836135874192, -0.07277819090988487, 0.011046022058775027, -0.0735435997818907, -0.09172591638440887, 0.00189068947530662, 0.3987272729724646, -0.2624937648822864, -0.24938023338094353, 0.08589827300670247, -0.26537724696099757, -0.14705145282670856, 0.17386879118159412, -0.009633413379391035, -0.013312213160097598, -0.010438355592389901, -0.0673166785761714, 0.0332393436661611, -0.1561554646709313, 0.31921489124496777, 0.09037774746616681, 0.2599544875572125, 0.06382108461111784, 0.06218704848860701, -0.001724087515225013, -0.02221917174135645, 0.01023265279829502, -0.09139749074713716, 0.09427781167129676, 0.19177673334566256, 0.017808124497532843, 0.20993673180850844, -0.410272045781215, -0.23073436496158442, 0.0012838980120917162, 0.14446430383172507, 0.04803291481453925, -0.04177915924539169, -0.25173951449493565, 0.0453233236943682, -0.09710371308028698, -0.19348409390697877, 0.03144170212248961, 0.029730365220457314, 0.006483836881816387, -0.18275730936865633, 0.06927059793223937, 0.04746867296596368, 0.08686802970866363, -0.1003823165781796, -0.058697035275399684, -0.10448060219486555, 0.10228792428349455, -0.012312591460843882, -0.03171733068302274, 0.1940013509305815, -0.15713353278425832, 0.01772068390622735, 0.4362466554592053, -0.051691126388808094, -0.08020792839427789, 0.2043663943062226, -0.18276744052767754, -0.03905370145415266, 0.22029028720532853, 0.0834438046067953, 0.13598629999595382, -0.15135677304196482, 0.06910896790058663, -0.07903379775583744, 0.180908057273676, 0.11637095475879808, 0.021118103892852864, 0.21555591394503912, 0.18417446553707123, -0.01298622922350963, 0.153776906405886, -0.19046934579188626, -0.04426855320731799, -0.22374000176787376, -0.1579210968905439, -0.1225155275904884, 0.019627825605372587, -0.05304019622465906, -0.20347406437116053, 0.36294991851163405, 0.06909983428816001, 0.1969277714068691, -0.07957460149656981, 0.34729443736374377, 0.10525829454263051, 0.10734385489796598, 0.03208684201041857, 0.2651030350476503, 0.1866307502364119, 0.11492808357191582, -0.2445489759494861, 0.13337496959293882, -0.005481145279482007] |
710.2693 | Large-scale horizontal flows in the solar photosphere II: Long-term
behaviour and magnetic activity response | Recently, we have developed a method useful for mapping large-scale
horizontal velocity fields in the solar photosphere. The method was developed,
tuned and calibrated using the synthetic data. Now, we applied the method to
the series of Michelson Doppler Imager (MDI) dopplergrams covering almost one
solar cycle in order to get the information about the long-term behaviour of
surface flows. We have found that our method clearly reproduces the widely
accepted properties of mean flow field components, such as torsional
oscillations and a pattern of meridional circulation. We also performed a
periodic analysis, however due to the data series length and large gaps we did
not detect any significant periods. The relation between the magnetic activity
influencing the mean zonal motion is studied. We found an evidence that the
emergence of compact magnetic regions locally accelerates the rotation of
supergranular pattern in their vicinity and that the presence of magnetic
fields generally decelerates the rotation in the equatorial region. Our results
show that active regions in the equatorial region emerge exhibiting a constant
velocity (faster by 60 +/- 9 m/s than Carrington rate) suggesting that they
emerge from the base of the surface radial shear at 0.95 R_sun, disconnect from
their magnetic roots, and slow down during their evolution.
| astro-ph | recently we have developed a method useful for mapping largescale horizontal velocity fields in the solar photosphere the method was developed tuned and calibrated using the synthetic data now we applied the method to the series of michelson doppler imager mdi dopplergrams covering almost one solar cycle in order to get the information about the longterm behaviour of surface flows we have found that our method clearly reproduces the widely accepted properties of mean flow field components such as torsional oscillations and a pattern of meridional circulation we also performed a periodic analysis however due to the data series length and large gaps we did not detect any significant periods the relation between the magnetic activity influencing the mean zonal motion is studied we found an evidence that the emergence of compact magnetic regions locally accelerates the rotation of supergranular pattern in their vicinity and that the presence of magnetic fields generally decelerates the rotation in the equatorial region our results show that active regions in the equatorial region emerge exhibiting a constant velocity faster by 60 9 ms than carrington rate suggesting that they emerge from the base of the surface radial shear at 095 r_sun disconnect from their magnetic roots and slow down during their evolution | [['recently', 'we', 'have', 'developed', 'a', 'method', 'useful', 'for', 'mapping', 'largescale', 'horizontal', 'velocity', 'fields', 'in', 'the', 'solar', 'photosphere', 'the', 'method', 'was', 'developed', 'tuned', 'and', 'calibrated', 'using', 'the', 'synthetic', 'data', 'now', 'we', 'applied', 'the', 'method', 'to', 'the', 'series', 'of', 'michelson', 'doppler', 'imager', 'mdi', 'dopplergrams', 'covering', 'almost', 'one', 'solar', 'cycle', 'in', 'order', 'to', 'get', 'the', 'information', 'about', 'the', 'longterm', 'behaviour', 'of', 'surface', 'flows', 'we', 'have', 'found', 'that', 'our', 'method', 'clearly', 'reproduces', 'the', 'widely', 'accepted', 'properties', 'of', 'mean', 'flow', 'field', 'components', 'such', 'as', 'torsional', 'oscillations', 'and', 'a', 'pattern', 'of', 'meridional', 'circulation', 'we', 'also', 'performed', 'a', 'periodic', 'analysis', 'however', 'due', 'to', 'the', 'data', 'series', 'length', 'and', 'large', 'gaps', 'we', 'did', 'not', 'detect', 'any', 'significant', 'periods', 'the', 'relation', 'between', 'the', 'magnetic', 'activity', 'influencing', 'the', 'mean', 'zonal', 'motion', 'is', 'studied', 'we', 'found', 'an', 'evidence', 'that', 'the', 'emergence', 'of', 'compact', 'magnetic', 'regions', 'locally', 'accelerates', 'the', 'rotation', 'of', 'supergranular', 'pattern', 'in', 'their', 'vicinity', 'and', 'that', 'the', 'presence', 'of', 'magnetic', 'fields', 'generally', 'decelerates', 'the', 'rotation', 'in', 'the', 'equatorial', 'region', 'our', 'results', 'show', 'that', 'active', 'regions', 'in', 'the', 'equatorial', 'region', 'emerge', 'exhibiting', 'a', 'constant', 'velocity', 'faster', 'by', '60', '9', 'ms', 'than', 'carrington', 'rate', 'suggesting', 'that', 'they', 'emerge', 'from', 'the', 'base', 'of', 'the', 'surface', 'radial', 'shear', 'at', '095', 'r_sun', 'disconnect', 'from', 'their', 'magnetic', 'roots', 'and', 'slow', 'down', 'during', 'their', 'evolution']] | [-0.14567899902235346, 0.16684455015029714, -0.07105398932225608, 0.0775574125386461, -0.05111404663945835, -0.04107668998095995, 0.019366103243485738, 0.396029208213664, -0.25688926425601283, -0.3418034362436559, 0.09560822915955214, -0.23603256993472035, -0.14842864369543698, 0.25649578992180555, -0.03084440838770556, -0.0070066778728057845, 0.06777586360728421, 0.03023654971128473, -0.04364486569661844, -0.1880666412986242, 0.25090779224970344, 0.05676396492176886, 0.28628301319146815, -0.006969792892924978, 0.08095845678830162, -0.0756615121969774, -0.04061829386941659, 0.0596047969531635, -0.1256472286074593, 0.06461921786943164, 0.1778731935270256, 0.08495714560558554, 0.22932029450804783, -0.43501269465195946, -0.2333818896843765, 0.06036068044956595, 0.1661344547666466, 0.0737270647704673, -0.041575081762857735, -0.24956829113608153, 0.07184197983811967, -0.11995685648826811, -0.16364477841349212, -0.04337239815728166, 0.04328542775664783, 0.01675043046942357, -0.24338135444738257, 0.12442874532210296, 0.06440761031290794, 0.16364946301865319, -0.11165604995711384, -0.06587756051717755, -0.08190068576167366, 0.16937894418011779, 0.098707589834633, 0.07524250876863683, 0.1688871460836918, -0.08840767838801884, -0.049373566531218015, 0.34662614841139516, -0.11056011951621678, -0.09451055421511857, 0.1818472274999994, -0.23274673337716825, -0.10121248675568495, 0.19204057512195924, 0.1796430187196865, 0.11808520889294763, -0.0960210830044861, -0.010864377979137666, -0.03169399475714622, 0.17490918898525146, 0.08141212299681054, -0.034851923085695416, 0.2619840441038832, 0.10213852229152018, 0.058294427170004874, 0.08485376529391103, -0.23016891815663817, -0.08312476443601415, -0.23165080645748487, -0.10417959948412878, -0.10703751891224574, 0.008262882634391224, -0.08893516383215264, -0.1551967235248482, 0.4029462567682808, 0.15116002045621058, 0.18805416788214083, -0.0041025450515847365, 0.29928893294821207, 0.06743450575595489, 0.12202975150470453, 0.16231230257620574, 0.3083076476770937, 0.18605774341323503, 0.17146621032420975, -0.24479792038507114, 0.052296384739188045, 0.035882216963308074] |
710.2694 | Modeling Wildland Fire Propagation with Level Set Methods | Level set methods are versatile and extensible techniques for general front
tracking problems, including the practically important problem of predicting
the advance of a firefront across expanses of surface vegetation. Given a rule,
empirical or otherwise, to specify the rate of advance of an infinitesimal
segment of firefront arc normal to itself (i.e., given the firespread rate as a
function of known local parameters relating to topography, vegetation, and
meteorology), level set methods harness the well developed mathematical
machinery of hyperbolic conservation laws on Eulerian grids to evolve the
position of the front in time. Topological challenges associated with the
swallowing of islands and the merger of fronts are tractable.
The principal goals of this paper are to: collect key results from the two
largely distinct scientific literatures of level sets and firespread;
demonstrate the practical value of level set methods to wildland fire modeling
through numerical experiments; probe and address current limitations; and
propose future directions in the simulation of, and the development of
decision-aiding tools to assess countermeasure options for, wildland fires. In
addition, we introduce a freely available two-dimensional level set code used
to produce the numerical results of this paper and designed to be extensible to
more complicated configurations.
| math.NA | level set methods are versatile and extensible techniques for general front tracking problems including the practically important problem of predicting the advance of a firefront across expanses of surface vegetation given a rule empirical or otherwise to specify the rate of advance of an infinitesimal segment of firefront arc normal to itself ie given the firespread rate as a function of known local parameters relating to topography vegetation and meteorology level set methods harness the well developed mathematical machinery of hyperbolic conservation laws on eulerian grids to evolve the position of the front in time topological challenges associated with the swallowing of islands and the merger of fronts are tractable the principal goals of this paper are to collect key results from the two largely distinct scientific literatures of level sets and firespread demonstrate the practical value of level set methods to wildland fire modeling through numerical experiments probe and address current limitations and propose future directions in the simulation of and the development of decisionaiding tools to assess countermeasure options for wildland fires in addition we introduce a freely available twodimensional level set code used to produce the numerical results of this paper and designed to be extensible to more complicated configurations | [['level', 'set', 'methods', 'are', 'versatile', 'and', 'extensible', 'techniques', 'for', 'general', 'front', 'tracking', 'problems', 'including', 'the', 'practically', 'important', 'problem', 'of', 'predicting', 'the', 'advance', 'of', 'a', 'firefront', 'across', 'expanses', 'of', 'surface', 'vegetation', 'given', 'a', 'rule', 'empirical', 'or', 'otherwise', 'to', 'specify', 'the', 'rate', 'of', 'advance', 'of', 'an', 'infinitesimal', 'segment', 'of', 'firefront', 'arc', 'normal', 'to', 'itself', 'ie', 'given', 'the', 'firespread', 'rate', 'as', 'a', 'function', 'of', 'known', 'local', 'parameters', 'relating', 'to', 'topography', 'vegetation', 'and', 'meteorology', 'level', 'set', 'methods', 'harness', 'the', 'well', 'developed', 'mathematical', 'machinery', 'of', 'hyperbolic', 'conservation', 'laws', 'on', 'eulerian', 'grids', 'to', 'evolve', 'the', 'position', 'of', 'the', 'front', 'in', 'time', 'topological', 'challenges', 'associated', 'with', 'the', 'swallowing', 'of', 'islands', 'and', 'the', 'merger', 'of', 'fronts', 'are', 'tractable', 'the', 'principal', 'goals', 'of', 'this', 'paper', 'are', 'to', 'collect', 'key', 'results', 'from', 'the', 'two', 'largely', 'distinct', 'scientific', 'literatures', 'of', 'level', 'sets', 'and', 'firespread', 'demonstrate', 'the', 'practical', 'value', 'of', 'level', 'set', 'methods', 'to', 'wildland', 'fire', 'modeling', 'through', 'numerical', 'experiments', 'probe', 'and', 'address', 'current', 'limitations', 'and', 'propose', 'future', 'directions', 'in', 'the', 'simulation', 'of', 'and', 'the', 'development', 'of', 'decisionaiding', 'tools', 'to', 'assess', 'countermeasure', 'options', 'for', 'wildland', 'fires', 'in', 'addition', 'we', 'introduce', 'a', 'freely', 'available', 'twodimensional', 'level', 'set', 'code', 'used', 'to', 'produce', 'the', 'numerical', 'results', 'of', 'this', 'paper', 'and', 'designed', 'to', 'be', 'extensible', 'to', 'more', 'complicated', 'configurations']] | [-0.0813767290887386, 0.04940383293325056, -0.05727697396535648, 0.05300483613224276, -0.08481969688050818, -0.1161546063307433, 0.04823593472880957, 0.3484314018261093, -0.28765857778950643, -0.30113125845126, 0.1256112115634006, -0.2557046537974499, -0.14620791486404505, 0.2449085511910351, -0.08027084558074925, 0.09693548416817967, 0.08087118198440438, -0.009301960091959537, -0.02112990575911717, -0.23375449133956214, 0.3051595200754536, 0.07423429376454932, 0.2855054146222918, 0.05646445032550335, 0.11459580968862565, -0.04324187993966412, -0.07480405528550174, 0.02166466026262629, -0.15128273350670174, 0.14989455706050325, 0.2961923501541893, 0.16476911404051953, 0.28483775121016924, -0.46803617827815586, -0.21553954971829742, 0.06522597228158161, 0.12222964357928198, 0.105779621286184, -0.018533206303701345, -0.2771637990360729, 0.07540727626056282, -0.15238699425210125, -0.16410785726165528, -0.06580947911698777, -0.001005190541036427, 0.055641294944579575, -0.24200607115163073, 0.033877545606925866, 0.02187917613167037, 0.06951630603531284, -0.03648705241307247, -0.10068594392372922, -0.026147755536038687, 0.17786060270814366, 0.04276796955025137, 0.013562964041640124, 0.14065304044953958, -0.1425648758759593, -0.1142635706752783, 0.4002131139214086, -0.008022812600846928, -0.20074525658769699, 0.21004965020191516, -0.1144796446719873, -0.12583859654208, 0.102883524904869, 0.22066803182715014, 0.09466231544602935, -0.1555014876447074, 0.03970514671037914, 0.0060444478277522735, 0.14360069745453075, 0.05400121959945242, -0.028296087454430446, 0.21892514835932467, 0.1944568409160296, 0.08011430591871584, 0.11667840715266053, -0.08679733672069782, -0.07998521638444007, -0.2838139617285405, -0.13264520575596703, -0.1327717013583325, -0.021960167562367745, -0.045754646844089975, -0.2215089224426463, 0.42085370651934995, 0.19570627796122492, 0.15452045052759533, 0.05285143637946129, 0.3138487271153101, 0.07551326664132389, 0.032516605659309625, 0.06205746991845715, 0.16124261417345484, 0.07765556723778459, 0.07331961426551979, -0.17259914352440986, 0.08281238432305099, 0.038701162113356266] |
710.2695 | Optical structure and function of the white filamentary hair covering
the edelweiss bracts | The optical properties of the inflorescence of the high-altitude
''Leontopodium nivale'' subsp. ''alpinum'' (edelweiss) is investigated, in
relation with its submicrometer structure, as determined by scanning electron
microscopy. The filaments forming the hair layer have been found to exhibit an
internal structure which may be one of the few examples of a photonic structure
found in a plant. Measurements of light transmission through a self-supported
layer of hair pads taken from the bracts supports the idea that the wooly layer
covering the plant absorbs near-ultraviolet radiation before it reaches the
cellular tissue. Calculations based on a photonic-crystal model provides
insight on the way radiation can be absorbed by the filamentary threads.
| physics.optics cond-mat.soft physics.bio-ph | the optical properties of the inflorescence of the highaltitude leontopodium nivale subsp alpinum edelweiss is investigated in relation with its submicrometer structure as determined by scanning electron microscopy the filaments forming the hair layer have been found to exhibit an internal structure which may be one of the few examples of a photonic structure found in a plant measurements of light transmission through a selfsupported layer of hair pads taken from the bracts supports the idea that the wooly layer covering the plant absorbs nearultraviolet radiation before it reaches the cellular tissue calculations based on a photoniccrystal model provides insight on the way radiation can be absorbed by the filamentary threads | [['the', 'optical', 'properties', 'of', 'the', 'inflorescence', 'of', 'the', 'highaltitude', 'leontopodium', 'nivale', 'subsp', 'alpinum', 'edelweiss', 'is', 'investigated', 'in', 'relation', 'with', 'its', 'submicrometer', 'structure', 'as', 'determined', 'by', 'scanning', 'electron', 'microscopy', 'the', 'filaments', 'forming', 'the', 'hair', 'layer', 'have', 'been', 'found', 'to', 'exhibit', 'an', 'internal', 'structure', 'which', 'may', 'be', 'one', 'of', 'the', 'few', 'examples', 'of', 'a', 'photonic', 'structure', 'found', 'in', 'a', 'plant', 'measurements', 'of', 'light', 'transmission', 'through', 'a', 'selfsupported', 'layer', 'of', 'hair', 'pads', 'taken', 'from', 'the', 'bracts', 'supports', 'the', 'idea', 'that', 'the', 'wooly', 'layer', 'covering', 'the', 'plant', 'absorbs', 'nearultraviolet', 'radiation', 'before', 'it', 'reaches', 'the', 'cellular', 'tissue', 'calculations', 'based', 'on', 'a', 'photoniccrystal', 'model', 'provides', 'insight', 'on', 'the', 'way', 'radiation', 'can', 'be', 'absorbed', 'by', 'the', 'filamentary', 'threads']] | [-0.10724256321166953, 0.12908320517315242, -0.0889142880482333, -0.013069785057034876, -0.04096652585126105, -0.11988704184602414, 0.025454705026155957, 0.4090442466239134, -0.26084522940218446, -0.3052646777636948, 0.074515210506728, -0.30465509375512956, -0.14340888659159343, 0.20378937978918354, -0.0030745184581194604, 0.004432212968822569, 0.017330613209023363, -0.0001344747841358185, 0.02010636074645888, -0.1726366060320288, 0.2758966317378162, 0.10835338834495771, 0.2984280115503463, 0.05614051877166189, 0.14128329004715418, -0.03354485616464877, -0.008985496574037131, 0.01078452714386263, -0.10387291548409155, 0.1087120255721467, 0.1911505099208582, 0.06938055050115854, 0.222751607770832, -0.5181035265149105, -0.29151350575543583, -0.015416227689101582, 0.16319917246167148, 0.05766328524775981, -0.06923589829045038, -0.2601945223996327, 0.07187073176638001, -0.14179603818449235, -0.12341028460789294, 0.004467866516539029, -0.05024576002643222, -0.004765273009737333, -0.18770220464128734, 0.02685189711905661, 0.007685417180792207, 0.053031335478867514, -0.09560446625774992, -0.035757584370938796, -0.10971152791309924, 0.12057384612465588, -0.01285562963513214, -0.0020350788453859943, 0.24397225026484756, -0.14162421299233324, -0.07395896116005522, 0.3676711466340792, -0.02536625699361875, -0.11481029320857487, 0.15232562578859785, -0.16010222919285297, -0.0487841692487044, 0.19831263837626292, 0.1200647476971859, 0.09116922581701406, -0.13576338554322276, 0.035277206113650685, -0.08501079166751532, 0.23544688452079537, 0.10972628236881324, 0.05641547983867072, 0.27982855041821797, 0.21936579499216308, -0.00026736165219474404, 0.17069357833825052, -0.14919179950707726, -0.02147256312448354, -0.2245557547679969, -0.1387112631639909, -0.14096591455107998, 0.05360129281346287, -0.05386923753346006, -0.17139589921793058, 0.38480907336232206, 0.0639452172276963, 0.21643537044902111, -0.05215518297073209, 0.310375686149512, 0.06377910103072368, 0.15840347893092604, 0.0132120683966648, 0.29225058983124436, 0.16947632749964084, 0.12790710960204402, -0.2088244334151525, 0.08394555404693597, 0.0018874360492364282] |
710.2696 | Time Machine at the LHC | Recently, black hole and brane production at CERN's Large Hadron Collider
(LHC) has been widely discussed. We suggest that there is a possibility to test
causality at the LHC. We argue that if the scale of quantum gravity is of the
order of few TeVs, proton-proton collisions at the LHC could lead to the
formation of time machines (spacetime regions with closed timelike curves)
which violate causality. One model for the time machine is a traversable
wormhole. We argue that the traversable wormhole production cross section at
the LHC is of the same order as the cross section for the black hole
production. Traversable wormholes assume violation of the null energy condition
(NEC) and an exotic matter similar to the dark energy is required. Decay of the
wormholes/time machines and signatures of time machine events at the LHC are
discussed.
| hep-ph gr-qc hep-th | recently black hole and brane production at cerns large hadron collider lhc has been widely discussed we suggest that there is a possibility to test causality at the lhc we argue that if the scale of quantum gravity is of the order of few tevs protonproton collisions at the lhc could lead to the formation of time machines spacetime regions with closed timelike curves which violate causality one model for the time machine is a traversable wormhole we argue that the traversable wormhole production cross section at the lhc is of the same order as the cross section for the black hole production traversable wormholes assume violation of the null energy condition nec and an exotic matter similar to the dark energy is required decay of the wormholestime machines and signatures of time machine events at the lhc are discussed | [['recently', 'black', 'hole', 'and', 'brane', 'production', 'at', 'cerns', 'large', 'hadron', 'collider', 'lhc', 'has', 'been', 'widely', 'discussed', 'we', 'suggest', 'that', 'there', 'is', 'a', 'possibility', 'to', 'test', 'causality', 'at', 'the', 'lhc', 'we', 'argue', 'that', 'if', 'the', 'scale', 'of', 'quantum', 'gravity', 'is', 'of', 'the', 'order', 'of', 'few', 'tevs', 'protonproton', 'collisions', 'at', 'the', 'lhc', 'could', 'lead', 'to', 'the', 'formation', 'of', 'time', 'machines', 'spacetime', 'regions', 'with', 'closed', 'timelike', 'curves', 'which', 'violate', 'causality', 'one', 'model', 'for', 'the', 'time', 'machine', 'is', 'a', 'traversable', 'wormhole', 'we', 'argue', 'that', 'the', 'traversable', 'wormhole', 'production', 'cross', 'section', 'at', 'the', 'lhc', 'is', 'of', 'the', 'same', 'order', 'as', 'the', 'cross', 'section', 'for', 'the', 'black', 'hole', 'production', 'traversable', 'wormholes', 'assume', 'violation', 'of', 'the', 'null', 'energy', 'condition', 'nec', 'and', 'an', 'exotic', 'matter', 'similar', 'to', 'the', 'dark', 'energy', 'is', 'required', 'decay', 'of', 'the', 'wormholestime', 'machines', 'and', 'signatures', 'of', 'time', 'machine', 'events', 'at', 'the', 'lhc', 'are', 'discussed']] | [-0.1337890438819237, 0.18316311055298964, -0.13622049881788573, 0.18110532090553624, -0.09089288783507596, -0.17394578351853615, -0.052744048468353184, 0.28621481918468533, -0.1842068774330852, -0.2817766039344154, 0.04387691305956984, -0.33759643595746097, 0.03316525958491851, 0.15614830094671026, 0.030243581174303303, 0.1228307674190016, 0.06325079435934883, 0.0582915238613973, -0.006213149729204907, -0.27294065484026675, 0.3656341443594173, 0.13042724910007938, 0.2642085647960897, 0.14492217958536294, 0.10771233746580941, -0.02292885899329357, 0.05388815817883801, 0.00404218515957431, -0.1384411186687862, 0.03903184735183537, 0.2554045977881647, 0.16424397257049467, 0.1665063089835156, -0.42546413143386513, -0.1744736868941741, 0.17692265768113324, 0.12916157295150185, 0.13649327329631306, -0.09034073433885687, -0.29204095307094374, 0.13631245326510422, -0.2290404274349483, -0.1580184034252767, -0.016277785707774352, 0.0563692727039079, -0.08078693073886119, -0.22881964405181168, 0.08006034588622157, -0.0343152459898441, -0.014040868999034489, -0.03863951002864047, -0.06209246374385284, -0.059866601480640096, -0.037332166240905684, 0.15831803037741443, 0.006846810382851165, 0.18878682892394366, -0.15126501832562733, -0.1962792317202087, 0.35909144139493543, -0.009833978269611009, -0.1400517819837915, 0.18961774457326466, -0.22507189782403356, -0.14877773471605435, 0.11228035438115702, 0.21075969935133518, 0.11129025004723732, -0.1712633738053038, 0.1402461165415706, 0.00889909495063555, 0.14320006854195658, 0.13072043604706582, 0.06422091210797, 0.32493523312665573, 0.20319751331167255, 0.021218531651140973, 0.07572956956845957, -0.1052855571611322, -0.07050027476503051, -0.49450339194682, -0.16813940510468678, -0.1098103438928663, 0.030567798409242477, -0.07124768247421272, -0.0964523814350581, 0.31029517759012876, 0.09239485353380508, 0.21264160096162943, 0.005040999821038823, 0.2737188536285175, 0.07851699009544397, 0.08658914306144927, 0.14619065223380223, 0.3618927109222725, 0.07397642900510658, 0.19315258479717343, -0.19119452279422888, 0.03437934859434692, 0.03148799670672567] |
710.2697 | Ly Alpha-Emitting Galaxies at z=3.1: L* Progenitors Experiencing Rapid
Star Formation | We studied the clustering properties and multiwavelength spectral energy
distributions of a complete sample of 162 Ly Alpha-Emitting (LAE) galaxies at
z=3.1 discovered in deep narrow-band MUSYC imaging of the Extended Chandra Deep
Field South. LAEs were selected to have observed frame equivalent widths >80A
and emission line fluxes >1.5E-17 erg/cm^2/s. Only 1% of our LAE sample appears
to host AGN. The LAEs exhibit a moderate spatial correlation length of
r_0=3.6+0.8-1.0 Mpc, corresponding to a bias factor b=1.7+0.3-0.4, which
implies median dark matter halo masses of log10(M_med) = 10.9+0.5-0.9 M_sun.
Comparing the number density of LAEs, (1.5+-0.3)E-3/Mpc^3, with the number
density of these halos finds a mean halo occupation ~1-10%. The evolution of
galaxy bias with redshift implies that most z=3.1 LAEs evolve into present-day
galaxies with L<2.5L*, whereas other z>3 galaxy populations typically evolve
into more massive galaxies. Halo merger trees show that z=0 descendants occupy
halos with a wide range of masses, with a median descendant mass close to that
of L*. Only 30% of LAEs have sufficient stellar mass (>~3E9 M_sun) to yield
detections in deep Spitzer-IRAC imaging. A two-population SED fit to the
stacked UBVRIzJK+[3.6,4.5,5.6,8.0]micron fluxes of the IRAC-undetected objects
finds that the typical LAE has low stellar mass (1.0+0.6-0.4 E9 M_sun),
moderate star formation rate (2+-1 M_sun/yr), a young component age of 20+30-10
Myr, and little dust (A_V<0.2). The best fit model has 20% of the mass in the
young stellar component, but models without evolved stars are also allowed.
| astro-ph | we studied the clustering properties and multiwavelength spectral energy distributions of a complete sample of 162 ly alphaemitting lae galaxies at z31 discovered in deep narrowband musyc imaging of the extended chandra deep field south laes were selected to have observed frame equivalent widths 80a and emission line fluxes 15e17 ergcm2s only 1 of our lae sample appears to host agn the laes exhibit a moderate spatial correlation length of r_0360810 mpc corresponding to a bias factor b170304 which implies median dark matter halo masses of log10m_med 1090509 m_sun comparing the number density of laes 1503e3mpc3 with the number density of these halos finds a mean halo occupation 110 the evolution of galaxy bias with redshift implies that most z31 laes evolve into presentday galaxies with l25l whereas other z3 galaxy populations typically evolve into more massive galaxies halo merger trees show that z0 descendants occupy halos with a wide range of masses with a median descendant mass close to that of l only 30 of laes have sufficient stellar mass 3e9 m_sun to yield detections in deep spitzerirac imaging a twopopulation sed fit to the stacked ubvrizjk36455680micron fluxes of the iracundetected objects finds that the typical lae has low stellar mass 100604 e9 m_sun moderate star formation rate 21 m_sunyr a young component age of 203010 myr and little dust a_v02 the best fit model has 20 of the mass in the young stellar component but models without evolved stars are also allowed | [['we', 'studied', 'the', 'clustering', 'properties', 'and', 'multiwavelength', 'spectral', 'energy', 'distributions', 'of', 'a', 'complete', 'sample', 'of', '162', 'ly', 'alphaemitting', 'lae', 'galaxies', 'at', 'z31', 'discovered', 'in', 'deep', 'narrowband', 'musyc', 'imaging', 'of', 'the', 'extended', 'chandra', 'deep', 'field', 'south', 'laes', 'were', 'selected', 'to', 'have', 'observed', 'frame', 'equivalent', 'widths', '80a', 'and', 'emission', 'line', 'fluxes', '15e17', 'ergcm2s', 'only', '1', 'of', 'our', 'lae', 'sample', 'appears', 'to', 'host', 'agn', 'the', 'laes', 'exhibit', 'a', 'moderate', 'spatial', 'correlation', 'length', 'of', 'r_0360810', 'mpc', 'corresponding', 'to', 'a', 'bias', 'factor', 'b170304', 'which', 'implies', 'median', 'dark', 'matter', 'halo', 'masses', 'of', 'log10m_med', '1090509', 'm_sun', 'comparing', 'the', 'number', 'density', 'of', 'laes', '1503e3mpc3', 'with', 'the', 'number', 'density', 'of', 'these', 'halos', 'finds', 'a', 'mean', 'halo', 'occupation', '110', 'the', 'evolution', 'of', 'galaxy', 'bias', 'with', 'redshift', 'implies', 'that', 'most', 'z31', 'laes', 'evolve', 'into', 'presentday', 'galaxies', 'with', 'l25l', 'whereas', 'other', 'z3', 'galaxy', 'populations', 'typically', 'evolve', 'into', 'more', 'massive', 'galaxies', 'halo', 'merger', 'trees', 'show', 'that', 'z0', 'descendants', 'occupy', 'halos', 'with', 'a', 'wide', 'range', 'of', 'masses', 'with', 'a', 'median', 'descendant', 'mass', 'close', 'to', 'that', 'of', 'l', 'only', '30', 'of', 'laes', 'have', 'sufficient', 'stellar', 'mass', '3e9', 'm_sun', 'to', 'yield', 'detections', 'in', 'deep', 'spitzerirac', 'imaging', 'a', 'twopopulation', 'sed', 'fit', 'to', 'the', 'stacked', 'ubvrizjk36455680micron', 'fluxes', 'of', 'the', 'iracundetected', 'objects', 'finds', 'that', 'the', 'typical', 'lae', 'has', 'low', 'stellar', 'mass', '100604', 'e9', 'm_sun', 'moderate', 'star', 'formation', 'rate', '21', 'm_sunyr', 'a', 'young', 'component', 'age', 'of', '203010', 'myr', 'and', 'little', 'dust', 'a_v02', 'the', 'best', 'fit', 'model', 'has', '20', 'of', 'the', 'mass', 'in', 'the', 'young', 'stellar', 'component', 'but', 'models', 'without', 'evolved', 'stars', 'are', 'also', 'allowed']] | [-0.0349881140602145, 0.10259812082565697, -0.06239134894335211, 0.1544985075565175, -0.119384353704123, -0.054997622009462684, 0.028235363703053205, 0.481718163625557, -0.03798189120369168, -0.4234881536923189, -0.03094268470548909, -0.282051464131046, 0.05546798732315586, 0.15304033270069745, 0.013519152287441773, -0.03705542221492508, 0.04898742144370787, -0.1137084120398891, -0.03310631085410784, -0.35751563591318997, 0.2787463435110768, 0.05423274675902287, 0.14499786467483275, -0.08473208618636119, 0.11283318973306262, -0.11488791449343218, -0.08457396256881307, -0.03565511807135822, -0.19486421652504468, -0.008752765237901344, 0.25143987196268097, 0.1446008480542695, 0.25535017227885903, -0.25745717970055554, -0.2037434098820398, 0.09829283006041603, 0.26900662559128563, 0.002517997032898786, -0.08304435925393579, -0.2733954373979941, 0.08482491434851558, -0.1950780696619318, -0.16427082274620752, 0.14763894897620564, 0.02507203286603621, 0.040245476630496366, -0.19874841022772852, 0.22764034066366756, -0.038532282574034335, 0.06877940336378219, -0.0960908204690821, -0.1475929974542347, -0.1438746967826582, 0.019530421314769036, 0.003709450938195278, 0.09628935868436143, 0.23809731136527823, -0.19607783618578967, 0.006011731071995228, 0.36900562577173435, -0.06366689478885583, 0.059393214981937024, 0.22594833821497953, -0.23084996999321353, -0.21872885058765887, 0.19037422976084853, 0.16065527913020725, 0.10271872750827203, -0.17058306325290976, 0.02170697373051752, -0.04400636669140421, 0.30478586419385584, 0.03189227866536494, 0.07990020577300663, 0.35857815566460716, 0.0808027518584389, 0.04265295749913917, 0.03161411757591928, -0.25082043649892566, -0.010241069755009316, -0.17556875303253738, -0.07882510855056489, -0.1121067435821906, 0.1579688286364814, -0.188443501485732, -0.1259513155900965, 0.330077835911777, 0.12433242400640486, 0.2560424398263125, 0.18383992741497976, 0.2526102817633345, 0.10541335013799985, 0.1716562677874298, 0.10108256748229937, 0.2843417120865614, 0.23377927812665716, 0.03229216544273361, -0.19598092848900706, 0.0005465025070239291, -0.03301995368414586] |
710.2698 | Photon storage in Lambda-type optically dense atomic media. IV. Optimal
control using gradient ascent | We use the numerical gradient ascent method from optimal control theory to
extend efficient photon storage in Lambda-type media to previously inaccessible
regimes and to provide simple intuitive explanations for our optimization
techniques. In particular, by using gradient ascent to shape classical control
pulses used to mediate photon storage, we open up the possibility of high
efficiency photon storage in the non-adiabatic limit, in which analytical
solutions to the equations of motion do not exist. This control shaping
technique enables an order-of-magnitude increase in the bandwidth of the
memory. We also demonstrate that the often discussed connection between time
reversal and optimality in photon storage follows naturally from gradient
ascent. Finally, we discuss the optimization of controlled reversible
inhomogeneous broadening.
| quant-ph | we use the numerical gradient ascent method from optimal control theory to extend efficient photon storage in lambdatype media to previously inaccessible regimes and to provide simple intuitive explanations for our optimization techniques in particular by using gradient ascent to shape classical control pulses used to mediate photon storage we open up the possibility of high efficiency photon storage in the nonadiabatic limit in which analytical solutions to the equations of motion do not exist this control shaping technique enables an orderofmagnitude increase in the bandwidth of the memory we also demonstrate that the often discussed connection between time reversal and optimality in photon storage follows naturally from gradient ascent finally we discuss the optimization of controlled reversible inhomogeneous broadening | [['we', 'use', 'the', 'numerical', 'gradient', 'ascent', 'method', 'from', 'optimal', 'control', 'theory', 'to', 'extend', 'efficient', 'photon', 'storage', 'in', 'lambdatype', 'media', 'to', 'previously', 'inaccessible', 'regimes', 'and', 'to', 'provide', 'simple', 'intuitive', 'explanations', 'for', 'our', 'optimization', 'techniques', 'in', 'particular', 'by', 'using', 'gradient', 'ascent', 'to', 'shape', 'classical', 'control', 'pulses', 'used', 'to', 'mediate', 'photon', 'storage', 'we', 'open', 'up', 'the', 'possibility', 'of', 'high', 'efficiency', 'photon', 'storage', 'in', 'the', 'nonadiabatic', 'limit', 'in', 'which', 'analytical', 'solutions', 'to', 'the', 'equations', 'of', 'motion', 'do', 'not', 'exist', 'this', 'control', 'shaping', 'technique', 'enables', 'an', 'orderofmagnitude', 'increase', 'in', 'the', 'bandwidth', 'of', 'the', 'memory', 'we', 'also', 'demonstrate', 'that', 'the', 'often', 'discussed', 'connection', 'between', 'time', 'reversal', 'and', 'optimality', 'in', 'photon', 'storage', 'follows', 'naturally', 'from', 'gradient', 'ascent', 'finally', 'we', 'discuss', 'the', 'optimization', 'of', 'controlled', 'reversible', 'inhomogeneous', 'broadening']] | [-0.10490985579090192, 0.11491923302443562, -0.09213799905652802, 0.07386802586552221, -0.0712324924301356, -0.13589345962585261, 0.09934457789931912, 0.4519424316570318, -0.32235361393541095, -0.3259070827548082, 0.06695631624024827, -0.20717333858289447, -0.1303751075679126, 0.22698519072243167, -0.09413749319695247, 0.08886475644928092, 0.018335661866391698, -0.049231518286736296, -0.0550289955319992, -0.20398986065605035, 0.21238030624420692, 0.07583996329146127, 0.32121884093309444, 0.04709759393396477, 0.1304586210482133, 0.003146258563113709, 0.00132050538668409, -0.02897220622980967, -0.12118765631682132, 0.14139954827260226, 0.2677957618822499, 0.11542686151418215, 0.2591492161232357, -0.48381755749384564, -0.21491389635484665, 0.0860453167464584, 0.20405509770304586, 0.14717091834463644, -0.10450283906830009, -0.19423982786635557, 0.04383705006912351, -0.1763153732016993, -0.13014893711855013, -0.12497431584245836, -0.007578928830722967, 0.06755648118754227, -0.2648457176595305, 0.07103817709503346, 0.048371848999522626, 0.023337684106081724, -0.05937991762233044, -0.029217753316819046, 0.05005994865205139, 0.06704431857797317, 0.009104387623180325, -0.01822790066168333, 0.1526700977430058, -0.11131406376953237, -0.15568113609527548, 0.3122118863878616, -0.09070377109892433, -0.1848693545597295, 0.1700016868999228, -0.08084237091049241, -0.09786110320904602, 0.15405582142217705, 0.1908030510977066, 0.1473610890059111, -0.14283442453900838, 0.04727951831397756, 0.025917656479092936, 0.16967337479485042, 0.10032277498394251, 0.06394470609957352, 0.12939283189431686, 0.1361057024517019, 0.12726065215150204, 0.19135177326388658, -0.05632225808221847, -0.17389864814079678, -0.30307344687947385, -0.1390621819300577, -0.14112213728949427, 0.04100437603398556, -0.09284050484396479, -0.12030102329251045, 0.3580651499098167, 0.22813620992771272, 0.16018803221328806, 0.00881681362419234, 0.3311932513024658, 0.14212903673857605, 0.0553481698812296, 0.10848334629554302, 0.24961457720977098, 0.1414821361754245, 0.14432633239775897, -0.3144547241240313, 0.03429046806801731, 0.025444780909068262] |
710.2699 | Lower bounds for warping functions on warped-product AHE manifolds | Let $[\gamma]$ be the conformal boundary of a warped product $C^{3,\alpha}$
AHE metric $g=g_M+u^2h$ on $N=M \times F$, where $(F,h)$ is compact with unit
volume and nonpositive curvature. We show that if $[\gamma]$ has positive
Yamabe constant, then $u$ has a positive lower bound that depends only on
$[\gamma]$.
| math.DG | let gamma be the conformal boundary of a warped product c3alpha ahe metric gg_mu2h on nm times f where fh is compact with unit volume and nonpositive curvature we show that if gamma has positive yamabe constant then u has a positive lower bound that depends only on gamma | [['let', 'gamma', 'be', 'the', 'conformal', 'boundary', 'of', 'a', 'warped', 'product', 'c3alpha', 'ahe', 'metric', 'gg_mu2h', 'on', 'nm', 'times', 'f', 'where', 'fh', 'is', 'compact', 'with', 'unit', 'volume', 'and', 'nonpositive', 'curvature', 'we', 'show', 'that', 'if', 'gamma', 'has', 'positive', 'yamabe', 'constant', 'then', 'u', 'has', 'a', 'positive', 'lower', 'bound', 'that', 'depends', 'only', 'on', 'gamma']] | [-0.20063444560704133, 0.19778156497341115, -0.06303944694809616, -0.05363746651710244, -0.13420779588826312, -0.24806824918293083, -0.02470740528466801, 0.3805945554437737, -0.21902069453305253, -0.15357845389128974, 0.11630995900486596, -0.3234424255788326, -0.11908434703946114, 0.1892420130316168, -0.06397968462745969, -0.06039569848023044, 0.03742505000748982, 0.1867754473738993, -0.09992479140055366, -0.2511146584292874, 0.41491138422861695, -0.041544337679321565, 0.1787830351580245, 0.18449571136928475, 0.09359948763934274, -0.09356650357949547, 0.05189533531665802, 0.040942959967651404, -0.25318064413689473, 0.0672519975778414, 0.1560799536431053, 0.04396402748534456, 0.2469976154000809, -0.31717010502082604, -0.23503303153362745, 0.21955014400494596, 0.10555246946993672, -0.13555385339229056, -0.03524945678267007, -0.27862581230389577, 0.18569816394786662, -0.06013511113512019, -0.07303062314167619, -0.013286003513106456, 0.1415209417367199, -0.08951287804423676, -0.2820267209317535, 0.07278111404351269, 0.06019587313494412, -0.016281464699810993, -0.07526635107933544, -0.1612413148783768, -0.08783136760272707, 0.05634920574569454, 0.07225454640865792, 0.17479429485683795, 0.10726847838183555, -0.0020798637512295195, -0.05300842628154593, 0.3223088283848483, -0.1968705540833374, -0.2873886707238853, 0.07118132457253523, -0.25623881578212604, -0.10474370362741563, 0.13661644219731292, 0.18295497922614837, 0.16914677484116206, -0.012536616219828526, 0.3107442606694046, -0.09940018073878794, 0.17048593036209544, 0.1397406661611361, -0.04326472570634602, 0.10897644084858864, 0.055264220534202955, 0.19603062562722093, 0.0886557577723579, -0.040744337587966584, 0.049951373521859445, -0.3530650700364883, -0.2104796217912129, -0.2440806629989917, 0.28295758125993115, -0.2005605065784645, -0.21261924604186788, 0.2976338389950494, -0.06156319995504115, 0.19501563685480505, 0.10232737180679881, 0.21149451927825189, 0.1334758046286879, 0.053151272436177045, 0.1637303149230623, 0.13934205286204815, 0.1723335653077811, -0.032095134833070915, -0.174008477779959, 0.014995731267845258, 0.1289951221406227] |
710.27 | Percolative Effects on Noise in Pentacene Transistors | The 1/f noise in pentacene thin film transistors has been measured as a
function of device thickness from well above the effective conduction channel
thickness to only two conducting layers. Over the entire thickness range, the
spectral noise form is 1/f, and the noise parameter varies as (gate voltage)-1,
confirming that the noise is due to mobility fluctuations, even in the thinnest
films. Hooge's parameter varies as an inverse power-law with conductivity for
all film thicknesses. The magnitude and transport characteristics of the
spectral noise are well explained in terms of percolative effects arising from
the grain boundary structure.
| cond-mat.mtrl-sci cond-mat.dis-nn | the 1f noise in pentacene thin film transistors has been measured as a function of device thickness from well above the effective conduction channel thickness to only two conducting layers over the entire thickness range the spectral noise form is 1f and the noise parameter varies as gate voltage1 confirming that the noise is due to mobility fluctuations even in the thinnest films hooges parameter varies as an inverse powerlaw with conductivity for all film thicknesses the magnitude and transport characteristics of the spectral noise are well explained in terms of percolative effects arising from the grain boundary structure | [['the', '1f', 'noise', 'in', 'pentacene', 'thin', 'film', 'transistors', 'has', 'been', 'measured', 'as', 'a', 'function', 'of', 'device', 'thickness', 'from', 'well', 'above', 'the', 'effective', 'conduction', 'channel', 'thickness', 'to', 'only', 'two', 'conducting', 'layers', 'over', 'the', 'entire', 'thickness', 'range', 'the', 'spectral', 'noise', 'form', 'is', '1f', 'and', 'the', 'noise', 'parameter', 'varies', 'as', 'gate', 'voltage1', 'confirming', 'that', 'the', 'noise', 'is', 'due', 'to', 'mobility', 'fluctuations', 'even', 'in', 'the', 'thinnest', 'films', 'hooges', 'parameter', 'varies', 'as', 'an', 'inverse', 'powerlaw', 'with', 'conductivity', 'for', 'all', 'film', 'thicknesses', 'the', 'magnitude', 'and', 'transport', 'characteristics', 'of', 'the', 'spectral', 'noise', 'are', 'well', 'explained', 'in', 'terms', 'of', 'percolative', 'effects', 'arising', 'from', 'the', 'grain', 'boundary', 'structure']] | [-0.1319544914330603, 0.1602830592632277, 0.007660056376468619, 0.004671295593986858, 0.007422856390191128, -0.12343829192164145, 0.03593301698945615, 0.41776492218581995, -0.31277913909063354, -0.34925344088399896, 0.05290761817251427, -0.3004900767867054, -0.10381552599826638, 0.2155231614121977, -0.06380922972623791, 0.0571727426437547, -0.07526088307602141, -0.08866782618059339, -0.06263295755298733, -0.15480889247644844, 0.28758095379690735, 0.06328972042253127, 0.32383504886256187, 0.0745013250437166, 0.023344209503230393, -0.059678604987887095, 0.07061032427246777, 0.055007676432403375, -0.13721131608631087, -0.03833297072263549, 0.2448077950892704, -0.14989334522813028, 0.17401927319981636, -0.40384499700169785, -0.2967232293734441, -0.008192603162736917, 0.13640517716258005, 0.07457192220763133, 0.01482125956146997, -0.22652202091483895, 0.06842419672496047, -0.1338914247462526, -0.08223554987237047, -0.0019677529463126343, 0.03194538044401121, 0.01274701066277161, -0.2686286923268867, 0.137891832252962, 0.07630103059369614, 0.06535998640382397, -0.09132258816175542, -0.20620609193622152, -0.08155399153237136, 0.14862705582315672, 0.09371620799386304, -0.004689534950279155, 0.26511332698698553, -0.17238589387615116, -0.04622020297778808, 0.28864307203615197, -0.0780696774433766, -0.13655316310801677, 0.1457269702407256, -0.1971184200018036, 0.051342069903122525, 0.18661040228278358, 0.10266277694846598, 0.06179487486179842, -0.1481104354731672, 0.12085912147018944, 0.028237439381975527, 0.2691446873727635, 0.11038090485832369, 0.09212180016543337, 0.17516756310526813, 0.2499871718951463, 0.053248591787580936, 0.1626102048297869, -0.16673899905005357, -0.013016470294559792, -0.2451661384987588, -0.14119015478681088, -0.24351270743574452, 0.12397880273471985, -0.13792721445319403, -0.2464376909857882, 0.42860286732974023, 0.14123478473867385, 0.2076026702261701, -0.01323186373100521, 0.2795836078573246, 0.13085070680660596, 0.09123253676451135, 0.025919153806468358, 0.21999831652572874, 0.19935804699804177, 0.11779003148575964, -0.23696676283428558, 0.14035281818835255, -0.0771921604387082] |
710.2701 | Chaotic quantum dots with strongly correlated electrons | Quantum dots pose a problem where one must confront three obstacles:
randomness, interactions and finite size. Yet it is this confluence that allows
one to make some theoretical advances by invoking three theoretical tools:
Random Matrix theory (RMT), the Renormalization Group (RG) and the 1/N
expansion. Here the reader is introduced to these techniques and shown how they
may be combined to answer a set of questions pertaining to quantum dots
| cond-mat.mes-hall | quantum dots pose a problem where one must confront three obstacles randomness interactions and finite size yet it is this confluence that allows one to make some theoretical advances by invoking three theoretical tools random matrix theory rmt the renormalization group rg and the 1n expansion here the reader is introduced to these techniques and shown how they may be combined to answer a set of questions pertaining to quantum dots | [['quantum', 'dots', 'pose', 'a', 'problem', 'where', 'one', 'must', 'confront', 'three', 'obstacles', 'randomness', 'interactions', 'and', 'finite', 'size', 'yet', 'it', 'is', 'this', 'confluence', 'that', 'allows', 'one', 'to', 'make', 'some', 'theoretical', 'advances', 'by', 'invoking', 'three', 'theoretical', 'tools', 'random', 'matrix', 'theory', 'rmt', 'the', 'renormalization', 'group', 'rg', 'and', 'the', '1n', 'expansion', 'here', 'the', 'reader', 'is', 'introduced', 'to', 'these', 'techniques', 'and', 'shown', 'how', 'they', 'may', 'be', 'combined', 'to', 'answer', 'a', 'set', 'of', 'questions', 'pertaining', 'to', 'quantum', 'dots']] | [-0.08729703141815803, 0.15457674215587092, -0.13352350321103176, 0.08720643375836261, -0.10589759385633007, -0.20680650481036011, 0.04148700424555269, 0.3650747054636898, -0.32088546431295467, -0.2653982620423948, 0.10959289554821354, -0.3280198909639476, -0.16120965803094522, 0.1568114490077739, -0.09283203927432777, 0.09678304877499459, 0.03866713766900586, 0.020540253390413776, -0.018475067895233736, -0.298629832693415, 0.29114711632571694, -0.008355257629325062, 0.21616062989563378, 0.0926237182075184, 0.04524000050683676, -0.02961244001905893, -0.011578317993963269, 0.053045966573925296, -0.14211276424837604, 0.14582483347302014, 0.3047740483577822, 0.11492405792462154, 0.3252424099285838, -0.4855916392005665, -0.20682263359899672, 0.05708683158179194, 0.17354472119256226, 0.16479021471164282, -0.04424799691465959, -0.26653078097758265, 0.10800392015404264, -0.17079831768010914, -0.1327203324222019, -0.109099759474318, -0.013929476312191134, -0.054385657848554175, -0.26592527009697603, -0.03716919491146232, 0.04197398740404718, 0.006098710197273274, 0.07306149197844002, -0.06698960747281221, 0.10676443386285132, 0.16968390335735511, 0.0569806221490606, 0.029581916223371953, 0.12041088568971453, -0.10741049129660175, -0.17803953203674353, 0.3869742007899872, 0.027214838742790088, -0.21579262026598756, 0.18536922066065836, -0.11338993270133793, -0.17345253046287198, 0.04776483379356878, 0.09080099410042954, 0.05275390434905257, -0.1739171649801584, 0.1311230452946046, -0.020606861712122466, 0.18216582663147382, 0.03164240364542782, 0.03322881774347223, 0.17521944214445603, 0.07609901224381067, 0.038995092288709024, 0.034998360488393256, 0.015144358769478932, -0.12937564265743737, -0.2906419767827635, -0.10693666584212595, -0.18826089048443337, 0.12510943609539052, -0.10213774893515658, -0.15720191823677684, 0.36736361809652035, 0.22245998251166615, 0.1937996345952573, 0.019607410818653206, 0.2769733433264085, 0.09558945907215083, 0.030052312230035454, 0.027058776418848986, 0.1686310374778925, 0.21955408980007426, 0.02532834162227285, -0.19682813052606152, 0.01957122130896634, 0.09339636883659053] |
710.2702 | Blob formation and acceleration in the solar wind: role of converging
flows and viscosity | The effect of viscosity and of converging flows on the formation of blobs in
the slow solar wind is analysed by means of resistive MHD simulations. The
regions above coronal streamers where blobs are formed (Sheeley et al., 1997)
are simulated using a model previously proposed by Einaudi et al. (1999). The
result of our investigation is twofold. First, we demonstrate a new mechanism
for enhanced momentum transfer between a forming blob and the fast solar wind
surrounding it. The effect is caused by the longer range of the electric field
caused by the tearing instability forming the blob. The electric field reaches
into the fast solar wind and interacts with it, causing a viscous drag that is
global in nature rather than local across fluid layers as it is the case in
normal uncharged fluids (like water). Second, the presence of a magnetic cusp
at the tip of a coronal helmet streamer causes a converging of the flows on the
two sides of the streamer and a direct push of the forming island by the fast
solar wind, resulting in a more efficient momentum exchange.
| astro-ph | the effect of viscosity and of converging flows on the formation of blobs in the slow solar wind is analysed by means of resistive mhd simulations the regions above coronal streamers where blobs are formed sheeley et al 1997 are simulated using a model previously proposed by einaudi et al 1999 the result of our investigation is twofold first we demonstrate a new mechanism for enhanced momentum transfer between a forming blob and the fast solar wind surrounding it the effect is caused by the longer range of the electric field caused by the tearing instability forming the blob the electric field reaches into the fast solar wind and interacts with it causing a viscous drag that is global in nature rather than local across fluid layers as it is the case in normal uncharged fluids like water second the presence of a magnetic cusp at the tip of a coronal helmet streamer causes a converging of the flows on the two sides of the streamer and a direct push of the forming island by the fast solar wind resulting in a more efficient momentum exchange | [['the', 'effect', 'of', 'viscosity', 'and', 'of', 'converging', 'flows', 'on', 'the', 'formation', 'of', 'blobs', 'in', 'the', 'slow', 'solar', 'wind', 'is', 'analysed', 'by', 'means', 'of', 'resistive', 'mhd', 'simulations', 'the', 'regions', 'above', 'coronal', 'streamers', 'where', 'blobs', 'are', 'formed', 'sheeley', 'et', 'al', '1997', 'are', 'simulated', 'using', 'a', 'model', 'previously', 'proposed', 'by', 'einaudi', 'et', 'al', '1999', 'the', 'result', 'of', 'our', 'investigation', 'is', 'twofold', 'first', 'we', 'demonstrate', 'a', 'new', 'mechanism', 'for', 'enhanced', 'momentum', 'transfer', 'between', 'a', 'forming', 'blob', 'and', 'the', 'fast', 'solar', 'wind', 'surrounding', 'it', 'the', 'effect', 'is', 'caused', 'by', 'the', 'longer', 'range', 'of', 'the', 'electric', 'field', 'caused', 'by', 'the', 'tearing', 'instability', 'forming', 'the', 'blob', 'the', 'electric', 'field', 'reaches', 'into', 'the', 'fast', 'solar', 'wind', 'and', 'interacts', 'with', 'it', 'causing', 'a', 'viscous', 'drag', 'that', 'is', 'global', 'in', 'nature', 'rather', 'than', 'local', 'across', 'fluid', 'layers', 'as', 'it', 'is', 'the', 'case', 'in', 'normal', 'uncharged', 'fluids', 'like', 'water', 'second', 'the', 'presence', 'of', 'a', 'magnetic', 'cusp', 'at', 'the', 'tip', 'of', 'a', 'coronal', 'helmet', 'streamer', 'causes', 'a', 'converging', 'of', 'the', 'flows', 'on', 'the', 'two', 'sides', 'of', 'the', 'streamer', 'and', 'a', 'direct', 'push', 'of', 'the', 'forming', 'island', 'by', 'the', 'fast', 'solar', 'wind', 'resulting', 'in', 'a', 'more', 'efficient', 'momentum', 'exchange']] | [-0.14761018981367374, 0.1880390705993852, -0.02077401523553842, 0.03996285621668338, -0.04514788929624735, -0.05287090850792624, 0.009166037872735714, 0.3229767528991844, -0.2347034214718922, -0.3390054140088929, 0.05578775208772198, -0.24169375382716188, -0.11876815131714416, 0.22524035335266712, -0.009996726698670032, -0.035910954034409005, 0.050328180959095824, -0.05078757133435559, -0.019556524683217946, -0.17190521538660333, 0.2803272410988103, 0.11775051275318539, 0.2342432914754829, 0.002564094863781655, 0.0989935339529168, -0.0804155947061608, -0.01293514974264277, 0.051296799494003925, -0.10065058594010298, 0.05795914258908581, 0.12485487301066216, 0.03888356620571702, 0.2740340391123617, -0.4928761582116823, -0.2399458775749883, -0.021517556406104484, 0.15867170392774751, 0.05974864032421563, -0.0646186485884214, -0.24977989917293794, 0.07099098874306356, -0.1741724568947747, -0.13493109360286915, 0.044298816245754026, 0.04070680166494001, 0.03769885075052042, -0.29140044863562325, 0.12765213572546033, 0.08162644380653226, 0.05309003900510032, -0.08260550249267269, -0.02564545046236064, -0.09189557010131712, 0.07918233450917476, 0.08194244227598647, 0.05610724226194056, 0.21349152598979984, -0.14606668590945568, -0.0333705593655641, 0.35555247548162133, -0.04205340134346468, -0.11252579443609795, 0.24443584060032122, -0.20630262585960932, -0.04005353330458338, 0.19419013155825637, 0.1502389696753911, 0.12589068528440958, -0.09132485747387684, 0.01998996085336281, -0.08096485690691986, 0.10437510523668213, 0.09380705983730385, -0.06939547839448662, 0.2858355223025019, 0.18220631866715847, 0.04758063235093613, 0.15507868760945023, -0.17521530261705315, -0.09839960222975729, -0.24504180434789208, -0.1643332109515983, -0.12385979467952574, 0.02299359145297392, -0.07417260889495672, -0.18498191277219636, 0.38467593077519857, 0.13039544291819471, 0.19756109419001922, -0.05824454339815782, 0.3393580935593392, 0.10674822822817275, 0.052414931387111945, 0.185237940262399, 0.3015770722532997, 0.17195034571923315, 0.18298713245705978, -0.2612040209421901, 0.08570902682337407, 0.10359387001828164] |
710.2703 | Monte Carlo study of two-dimensional Bose-Hubbard model | One of the most promising applications of ultracold gases in optical lattices
is the possibility to use them as quantum emulators of more complex condensed
matter systems. We provide benchmark calculations, based on exact quantum Monte
Carlo simulations, for the emulator to be tested against. We report results for
the ground state phase diagram of the two-dimensional Bose-Hubbard model at
unity filling factor. We precisely trace out the critical behavior of the
system and resolve the region of small insulating gaps, \Delta << J. The
critical point is found to be (J/U)_c=0.05974(3), in perfect agreement with the
high-order strong-coupling expansion method of Ref. 1. In addition, we present
data for the effective mass of particle and hole excitations inside the
insulating phase and obtain the critical temperature for the superfluid-normal
transition at unity filling factor.
| cond-mat.other cond-mat.stat-mech | one of the most promising applications of ultracold gases in optical lattices is the possibility to use them as quantum emulators of more complex condensed matter systems we provide benchmark calculations based on exact quantum monte carlo simulations for the emulator to be tested against we report results for the ground state phase diagram of the twodimensional bosehubbard model at unity filling factor we precisely trace out the critical behavior of the system and resolve the region of small insulating gaps delta j the critical point is found to be ju_c0059743 in perfect agreement with the highorder strongcoupling expansion method of ref 1 in addition we present data for the effective mass of particle and hole excitations inside the insulating phase and obtain the critical temperature for the superfluidnormal transition at unity filling factor | [['one', 'of', 'the', 'most', 'promising', 'applications', 'of', 'ultracold', 'gases', 'in', 'optical', 'lattices', 'is', 'the', 'possibility', 'to', 'use', 'them', 'as', 'quantum', 'emulators', 'of', 'more', 'complex', 'condensed', 'matter', 'systems', 'we', 'provide', 'benchmark', 'calculations', 'based', 'on', 'exact', 'quantum', 'monte', 'carlo', 'simulations', 'for', 'the', 'emulator', 'to', 'be', 'tested', 'against', 'we', 'report', 'results', 'for', 'the', 'ground', 'state', 'phase', 'diagram', 'of', 'the', 'twodimensional', 'bosehubbard', 'model', 'at', 'unity', 'filling', 'factor', 'we', 'precisely', 'trace', 'out', 'the', 'critical', 'behavior', 'of', 'the', 'system', 'and', 'resolve', 'the', 'region', 'of', 'small', 'insulating', 'gaps', 'delta', 'j', 'the', 'critical', 'point', 'is', 'found', 'to', 'be', 'ju_c0059743', 'in', 'perfect', 'agreement', 'with', 'the', 'highorder', 'strongcoupling', 'expansion', 'method', 'of', 'ref', '1', 'in', 'addition', 'we', 'present', 'data', 'for', 'the', 'effective', 'mass', 'of', 'particle', 'and', 'hole', 'excitations', 'inside', 'the', 'insulating', 'phase', 'and', 'obtain', 'the', 'critical', 'temperature', 'for', 'the', 'superfluidnormal', 'transition', 'at', 'unity', 'filling', 'factor']] | [-0.1251386811184746, 0.15054935498751307, -0.06605530681641758, 0.046515645798474295, 0.01370646725443745, -0.15355973966993897, 0.0921285501908847, 0.3525774858723906, -0.1969467464780183, -0.28958124208046976, 0.07227969322006982, -0.31050043334638266, -0.10311458731259227, 0.2025493831396509, 0.06460454591345988, 0.08803887556471575, 0.02020813415135096, -0.002138894215651571, -0.11133098120528057, -0.22576679135287614, 0.32925169403083565, 0.06526672174362816, 0.25756591616510904, 0.06893687327812545, 0.04073348076912554, -0.03239031930636138, 0.07059595992970735, -0.00746690368811999, -0.2088514294989995, 0.06201222307868022, 0.26452590020975675, -0.01734691716142391, 0.19241801778176673, -0.4020025464461038, -0.20293531716009952, 0.07484669932356819, 0.14923415095825449, 0.15496093774375444, -0.05314658563971411, -0.28143106671610385, 0.04625993459730556, -0.19028738693551236, -0.18925098655395267, -0.12577851985658245, -0.0025528124165966324, -0.021253189991081233, -0.24145900031649753, 0.11570528428191915, -0.006283987234731702, 0.060483716191455664, -0.03623780459200585, -0.13151850915055274, 0.030181094373863442, 0.11442815573077257, -0.036484550323190264, 0.05249131672238385, 0.13201341258985153, -0.1793998984437912, -0.09856967208556887, 0.40039833224749655, -0.05660243634365611, -0.10675126702797816, 0.18838245129296766, -0.18115847403729768, -0.09425258226832725, 0.1567901780030557, 0.12637053193267142, 0.09161040958899416, -0.08681556395486109, 0.08014304999347874, -0.020368705874771104, 0.1892609474657513, -0.0030034852767349186, 0.027272964918255524, 0.26243341237278583, 0.20057167069762386, 0.02121340961692701, 0.16076146220942414, -0.11238632947088331, -0.1540806523981133, -0.26440378822494803, -0.1872827185806293, -0.22852622960953223, 0.025177282288222386, -0.1017606320045407, -0.17972945183501543, 0.35660173352527663, 0.21203385638178124, 0.1669532692872156, -0.02149297791547177, 0.2747692795745202, 0.136293434901198, 0.019009969652371297, 0.06652616659140817, 0.2582601166183227, 0.11241742096407185, 0.08090132430784013, -0.2441235973212616, -0.014117263852709666, 0.07507345977386362] |
710.2704 | Low regularity solutions of two fifth-order KdV type equations | The Kawahara and modified Kawahara equations are fifth-order KdV type
equations and have been derived to model many physical phenomena such as
gravity-capillary waves and magneto-sound propagation in plasmas. This paper
establishes the local well-posedness of the initial-value problem for Kawahara
equation in $H^s({\mathbf R})$ with $s>-\frac74$ and the local well-posedness
for the modified Kawahara equation in $H^s({\mathbf R})$ with $s\ge-\frac14$.
To prove these results, we derive a fundamental estimate on dyadic blocks for
the Kawahara equation through the $[k; Z]$ multiplier norm method of Tao
\cite{Tao2001} and use this to obtain new bilinear and trilinear estimates in
suitable Bourgain spaces.
| math.AP math-ph math.MP | the kawahara and modified kawahara equations are fifthorder kdv type equations and have been derived to model many physical phenomena such as gravitycapillary waves and magnetosound propagation in plasmas this paper establishes the local wellposedness of the initialvalue problem for kawahara equation in hsmathbf r with sfrac74 and the local wellposedness for the modified kawahara equation in hsmathbf r with sgefrac14 to prove these results we derive a fundamental estimate on dyadic blocks for the kawahara equation through the k z multiplier norm method of tao citetao2001 and use this to obtain new bilinear and trilinear estimates in suitable bourgain spaces | [['the', 'kawahara', 'and', 'modified', 'kawahara', 'equations', 'are', 'fifthorder', 'kdv', 'type', 'equations', 'and', 'have', 'been', 'derived', 'to', 'model', 'many', 'physical', 'phenomena', 'such', 'as', 'gravitycapillary', 'waves', 'and', 'magnetosound', 'propagation', 'in', 'plasmas', 'this', 'paper', 'establishes', 'the', 'local', 'wellposedness', 'of', 'the', 'initialvalue', 'problem', 'for', 'kawahara', 'equation', 'in', 'hsmathbf', 'r', 'with', 'sfrac74', 'and', 'the', 'local', 'wellposedness', 'for', 'the', 'modified', 'kawahara', 'equation', 'in', 'hsmathbf', 'r', 'with', 'sgefrac14', 'to', 'prove', 'these', 'results', 'we', 'derive', 'a', 'fundamental', 'estimate', 'on', 'dyadic', 'blocks', 'for', 'the', 'kawahara', 'equation', 'through', 'the', 'k', 'z', 'multiplier', 'norm', 'method', 'of', 'tao', 'citetao2001', 'and', 'use', 'this', 'to', 'obtain', 'new', 'bilinear', 'and', 'trilinear', 'estimates', 'in', 'suitable', 'bourgain', 'spaces']] | [-0.12821222822537126, 0.02675867371126702, -0.06921895689207379, 0.08806890259573678, -0.09505706866627041, -0.13193688482603, -0.06124675185923686, 0.2541332082611691, -0.32501899479581137, -0.23036796038912744, 0.15120316657343322, -0.2867583730114029, -0.1511176898913487, 0.21053128482140215, -0.029975366111383916, 0.13006717406366905, 0.04115703133818185, -0.038389186106007736, -0.0829755433681469, -0.24711306971142588, 0.3415356111165482, -0.04621574124225329, 0.1953566850873536, 0.032010188345442114, 0.12724642320680096, 0.01961172208401192, -0.025986891122266036, -0.06423335050031082, -0.2355786429636526, 0.08657615889252653, 0.23952981107628224, 0.030278950747217714, 0.2742341171143596, -0.4345554239164615, -0.2606389519672111, 0.08921857255021322, 0.1443294343711405, 0.09072692932311407, -0.04109616925551066, -0.3394134282278492, 0.08031984898693782, -0.11284481947185453, -0.2136472757694494, -0.08755863445436525, 0.04812671943116434, 0.12193827365630681, -0.3154093160380408, 0.17648449989717416, 0.07118670705744286, -0.006311638002312675, -0.18156902399394162, -0.10663062963903565, -0.018404359886057906, 0.003971153462171247, 0.048009372838369584, 0.011395560973563913, -0.030741918620835876, -0.09274688676556515, -0.02167185956669837, 0.37263770881541, -0.13891519386244497, -0.26435192591827555, 0.16322673653425246, -0.09369584371800266, -0.12778059047522003, 0.03848260095266184, 0.17575765056439588, 0.14117944530528231, -0.16427053343120618, 0.16591463983178945, -0.08967882888295602, 0.0963109812924888, 0.1272096774041576, 0.02033917945281593, 0.033535602062066884, 0.10761894833911018, 0.11735694975647404, 0.07784630438149667, 0.0048486348601615, -0.05461655867456449, -0.2965757311849864, -0.180512443499294, -0.1301614794275272, 0.08061755843191724, -0.10676521704605416, -0.16185590273403017, 0.3398445073476772, 0.1483129949798596, 0.1194239460392711, 0.08057141975144443, 0.19028874521249348, 0.19505973418420852, -0.013393669696428726, 0.09154597837861973, 0.23941579123853332, 0.2333306608548791, 0.18776955576517532, -0.19839594686000617, -0.040011369743259605, 0.2876478643924689] |
710.2705 | Fingerprinting with Minimum Distance Decoding | This work adopts an information theoretic framework for the design of
collusion-resistant coding/decoding schemes for digital fingerprinting. More
specifically, the minimum distance decision rule is used to identify 1 out of t
pirates. Achievable rates, under this detection rule, are characterized in two
distinct scenarios. First, we consider the averaging attack where a random
coding argument is used to show that the rate 1/2 is achievable with t=2
pirates. Our study is then extended to the general case of arbitrary $t$
highlighting the underlying complexity-performance tradeoff. Overall, these
results establish the significant performance gains offered by minimum distance
decoding as compared to other approaches based on orthogonal codes and
correlation detectors. In the second scenario, we characterize the achievable
rates, with minimum distance decoding, under any collusion attack that
satisfies the marking assumption. For t=2 pirates, we show that the rate
$1-H(0.25)\approx 0.188$ is achievable using an ensemble of random linear
codes. For $t\geq 3$, the existence of a non-resolvable collusion attack, with
minimum distance decoding, for any non-zero rate is established. Inspired by
our theoretical analysis, we then construct coding/decoding schemes for
fingerprinting based on the celebrated Belief-Propagation framework. Using an
explicit repeat-accumulate code, we obtain a vanishingly small probability of
misidentification at rate 1/3 under averaging attack with t=2. For collusion
attacks which satisfy the marking assumption, we use a more sophisticated
accumulate repeat accumulate code to obtain a vanishingly small
misidentification probability at rate 1/9 with t=2. These results represent a
marked improvement over the best available designs in the literature.
| cs.IT cs.CR math.IT | this work adopts an information theoretic framework for the design of collusionresistant codingdecoding schemes for digital fingerprinting more specifically the minimum distance decision rule is used to identify 1 out of t pirates achievable rates under this detection rule are characterized in two distinct scenarios first we consider the averaging attack where a random coding argument is used to show that the rate 12 is achievable with t2 pirates our study is then extended to the general case of arbitrary t highlighting the underlying complexityperformance tradeoff overall these results establish the significant performance gains offered by minimum distance decoding as compared to other approaches based on orthogonal codes and correlation detectors in the second scenario we characterize the achievable rates with minimum distance decoding under any collusion attack that satisfies the marking assumption for t2 pirates we show that the rate 1h025approx 0188 is achievable using an ensemble of random linear codes for tgeq 3 the existence of a nonresolvable collusion attack with minimum distance decoding for any nonzero rate is established inspired by our theoretical analysis we then construct codingdecoding schemes for fingerprinting based on the celebrated beliefpropagation framework using an explicit repeataccumulate code we obtain a vanishingly small probability of misidentification at rate 13 under averaging attack with t2 for collusion attacks which satisfy the marking assumption we use a more sophisticated accumulate repeat accumulate code to obtain a vanishingly small misidentification probability at rate 19 with t2 these results represent a marked improvement over the best available designs in the literature | [['this', 'work', 'adopts', 'an', 'information', 'theoretic', 'framework', 'for', 'the', 'design', 'of', 'collusionresistant', 'codingdecoding', 'schemes', 'for', 'digital', 'fingerprinting', 'more', 'specifically', 'the', 'minimum', 'distance', 'decision', 'rule', 'is', 'used', 'to', 'identify', '1', 'out', 'of', 't', 'pirates', 'achievable', 'rates', 'under', 'this', 'detection', 'rule', 'are', 'characterized', 'in', 'two', 'distinct', 'scenarios', 'first', 'we', 'consider', 'the', 'averaging', 'attack', 'where', 'a', 'random', 'coding', 'argument', 'is', 'used', 'to', 'show', 'that', 'the', 'rate', '12', 'is', 'achievable', 'with', 't2', 'pirates', 'our', 'study', 'is', 'then', 'extended', 'to', 'the', 'general', 'case', 'of', 'arbitrary', 't', 'highlighting', 'the', 'underlying', 'complexityperformance', 'tradeoff', 'overall', 'these', 'results', 'establish', 'the', 'significant', 'performance', 'gains', 'offered', 'by', 'minimum', 'distance', 'decoding', 'as', 'compared', 'to', 'other', 'approaches', 'based', 'on', 'orthogonal', 'codes', 'and', 'correlation', 'detectors', 'in', 'the', 'second', 'scenario', 'we', 'characterize', 'the', 'achievable', 'rates', 'with', 'minimum', 'distance', 'decoding', 'under', 'any', 'collusion', 'attack', 'that', 'satisfies', 'the', 'marking', 'assumption', 'for', 't2', 'pirates', 'we', 'show', 'that', 'the', 'rate', '1h025approx', '0188', 'is', 'achievable', 'using', 'an', 'ensemble', 'of', 'random', 'linear', 'codes', 'for', 'tgeq', '3', 'the', 'existence', 'of', 'a', 'nonresolvable', 'collusion', 'attack', 'with', 'minimum', 'distance', 'decoding', 'for', 'any', 'nonzero', 'rate', 'is', 'established', 'inspired', 'by', 'our', 'theoretical', 'analysis', 'we', 'then', 'construct', 'codingdecoding', 'schemes', 'for', 'fingerprinting', 'based', 'on', 'the', 'celebrated', 'beliefpropagation', 'framework', 'using', 'an', 'explicit', 'repeataccumulate', 'code', 'we', 'obtain', 'a', 'vanishingly', 'small', 'probability', 'of', 'misidentification', 'at', 'rate', '13', 'under', 'averaging', 'attack', 'with', 't2', 'for', 'collusion', 'attacks', 'which', 'satisfy', 'the', 'marking', 'assumption', 'we', 'use', 'a', 'more', 'sophisticated', 'accumulate', 'repeat', 'accumulate', 'code', 'to', 'obtain', 'a', 'vanishingly', 'small', 'misidentification', 'probability', 'at', 'rate', '19', 'with', 't2', 'these', 'results', 'represent', 'a', 'marked', 'improvement', 'over', 'the', 'best', 'available', 'designs', 'in', 'the', 'literature']] | [-0.1712097832500537, 0.039301877091958544, -0.07080367676869564, 0.08021062443754359, -0.011225862238968431, -0.23574097866096752, 0.12500579807476653, 0.3595771838371594, -0.2370118591550226, -0.26228876043803134, 0.12038090489777137, -0.2559635200880085, -0.14373795377558074, 0.20479772855774334, -0.10653698316079531, 0.056748730145218106, 0.026869574311399178, 0.07151586391407216, -0.10265419644068029, -0.3097241892518012, 0.28184888742886216, 0.11504177046799849, 0.31334019592952117, 0.028818904286252313, 0.0937159633067926, 0.017957546543918932, -0.02761645778174339, -0.023677944794219915, -0.18840638607536905, 0.08143362470280394, 0.27021064407011797, 0.18896577048590296, 0.24986809550640965, -0.34503301592698327, -0.21465395889410624, 0.1114078369801459, 0.1160007124185091, 0.12648750143263696, -0.05738247008849278, -0.22877472395670007, 0.1651641676656114, -0.19035810933783356, -0.07088919377079594, -0.02668205493674135, -0.02246487783010416, 0.019159056144129678, -0.33780671571696125, 0.048836132577756645, 0.05570827031751042, 0.06577900094403462, -0.024181322339579845, -0.1277155364120909, 0.06767893248521116, 0.12121546000201741, 0.02586834756758712, 0.042562716473501336, 0.10372128164241083, -0.06915524866010464, -0.14146162269005677, 0.31485636550712254, -0.06527807356020354, -0.17713872647822168, 0.14100410430710542, -0.06402363468020447, -0.11797078061396102, 0.15205604591491548, 0.18149719369623502, 0.13159052400183477, -0.1294831663467682, 0.0266250370145341, -0.032986993531709384, 0.19278307260371186, 0.09828069462006536, 0.07350349585776927, 0.11808833917105946, 0.16124492923438313, 0.11545666212422162, 0.14213368432801549, -0.13545514498248312, -0.10276512373901403, -0.3000239620220814, -0.10140081466092331, -0.17588462692587875, 0.058308545126866826, -0.11499015175779544, -0.08844397276301276, 0.31216175262834656, 0.17140472544865173, 0.17413616940662588, 0.1501413874135798, 0.3079209303420788, 0.06696295844282395, 0.06776663431117362, 0.13968955830343274, 0.20781479448286205, 0.08685538432608715, 0.004484415606028684, -0.20828260084636704, 0.10343041861882588, 0.06159381893474476] |
710.2706 | Kawamata-Viehweg Vanishing on Rational Surfaces in Positive
Characteristic | We prove that the Kawamata-Viehweg vanishing theorem holds on rational
surfaces in positive characteristic by means of the lifting property to W_2(k)
of certain log pairs on smooth rational surfaces. As a corollary, the
Kawamata-Viehweg vanishing theorem holds on log del Pezzo surfaces in positive
characteristic.
| math.AG | we prove that the kawamataviehweg vanishing theorem holds on rational surfaces in positive characteristic by means of the lifting property to w_2k of certain log pairs on smooth rational surfaces as a corollary the kawamataviehweg vanishing theorem holds on log del pezzo surfaces in positive characteristic | [['we', 'prove', 'that', 'the', 'kawamataviehweg', 'vanishing', 'theorem', 'holds', 'on', 'rational', 'surfaces', 'in', 'positive', 'characteristic', 'by', 'means', 'of', 'the', 'lifting', 'property', 'to', 'w_2k', 'of', 'certain', 'log', 'pairs', 'on', 'smooth', 'rational', 'surfaces', 'as', 'a', 'corollary', 'the', 'kawamataviehweg', 'vanishing', 'theorem', 'holds', 'on', 'log', 'del', 'pezzo', 'surfaces', 'in', 'positive', 'characteristic']] | [-0.27588260232321615, 0.016769764588072732, -0.1259255339593991, 0.15487383686653947, -0.0306781859582533, -0.23846500313273913, 0.03589323648939962, 0.23787817974453387, -0.2939260472826984, -0.206209742585602, 0.03129675308667609, -0.25453772800772084, -0.13973850497732992, 0.29196355103150656, -0.21216622827088702, -0.015138503528483536, -0.04348388613890047, 0.03238307704906101, -0.12849842979441115, -0.38884617671694444, 0.48381574127985083, -0.11009481719330601, 0.23198747810016832, 0.20935245996098156, 0.17551706403331913, 0.09549912870051744, 0.09055795168261165, -0.03770774999714416, -0.1940879150271307, 0.05461414803436998, 0.32010654008785344, 0.01886095967568943, 0.18663520851860876, -0.3469471620476764, -0.1574083788563376, 0.2522566289357517, 0.049457087060031685, -0.0049059773268906965, -0.011840951024129501, -0.17764919805947854, 0.1690093254994439, -0.040145720071766686, -0.2963071378231373, -0.07596341133846538, -0.007484475717596386, 0.047683460435465626, -0.1844471603146066, 0.036723209909446865, 0.21465854322456795, 0.1922646527097601, -0.044397545573504074, -0.10719031041852482, -0.12385587479271319, 0.03239084163721165, 0.015126666621021603, 0.04005419623369918, 0.054710127889057214, -0.057909464382607, -0.04784853666079352, 0.24620296482158743, -0.20023687815536623, -0.19680487421219764, 0.11525699331263162, -0.1379254671299587, -0.15890349480121033, 0.1328563732297524, 0.09447027481687457, 0.2746441570798988, 0.0794232023636932, 0.22706910263261068, -0.16002764631791608, 0.06532300558224645, 0.23885273056752657, -0.044600571698063744, 0.13474634589384432, -0.011360845822112067, 0.1580331822168892, 0.05804187124190123, 0.002170344809596629, -0.02731118013110498, -0.41278781391599256, -0.26288357087532466, -0.1667949905259656, 0.25203375366475916, -0.12644537907529055, -0.20272552639084018, 0.33493866933428723, -0.03412116276424216, 0.20435712502702422, 0.21773152970506446, 0.19508984648501096, 0.04842444456374759, 0.019531110747028953, 0.016299090469660965, 0.113191367653401, 0.2125973281217739, -0.04192064982919913, -0.09865750750126924, 0.07111418457782787, 0.2734885035366144] |
710.2707 | The Polyakov Loop and the Eigenvalues of the Dirac Operator | Aiming at the link between confinement and chiral symmetry the Polyakov loop
represented as a spectral sum of eigenvalues of the Dirac operator was subject
of recent studies. We analyze the volume dependence as well as the continuum
behavior of this quantity for quenched QCD using staggered fermions.
Furthermore, we present first results using dynamical configurations.
| hep-lat | aiming at the link between confinement and chiral symmetry the polyakov loop represented as a spectral sum of eigenvalues of the dirac operator was subject of recent studies we analyze the volume dependence as well as the continuum behavior of this quantity for quenched qcd using staggered fermions furthermore we present first results using dynamical configurations | [['aiming', 'at', 'the', 'link', 'between', 'confinement', 'and', 'chiral', 'symmetry', 'the', 'polyakov', 'loop', 'represented', 'as', 'a', 'spectral', 'sum', 'of', 'eigenvalues', 'of', 'the', 'dirac', 'operator', 'was', 'subject', 'of', 'recent', 'studies', 'we', 'analyze', 'the', 'volume', 'dependence', 'as', 'well', 'as', 'the', 'continuum', 'behavior', 'of', 'this', 'quantity', 'for', 'quenched', 'qcd', 'using', 'staggered', 'fermions', 'furthermore', 'we', 'present', 'first', 'results', 'using', 'dynamical', 'configurations']] | [-0.13710271861470705, 0.18158042242118558, -0.10173194277116895, 0.05087651527511688, -0.021799871448560486, -0.051326698625676466, 0.08287456137311112, 0.3826316838551845, -0.16829049263781468, -0.27011120977944564, 0.08100345549506269, -0.2881369104143232, -0.17060167107930674, 0.06601650514806222, 0.03424738594497155, 0.10779119573167659, -0.012250643955277545, 0.043110342047709437, -0.11872517100502071, -0.18064017857458176, 0.3614174380366291, 0.034356193542147855, 0.25466353582201656, 0.16185105695954657, 0.0490355786917332, 0.016750585645370717, -0.01284137784802754, 0.04477107553144118, -0.11421110846900515, 0.06694598728582994, 0.16200782593140112, -0.014527491443524403, 0.16823729327214615, -0.3909025675051713, -0.22688576211554132, 0.07355178302220468, 0.17211169327077055, 0.08417766843922436, -0.025687744109226123, -0.28347239965972093, 0.060809802904259413, -0.18147670023608953, -0.1867369954935774, -0.10438906549409564, -0.051264957358528464, -0.015064700652146712, -0.2685986562033317, 0.12179063155781478, -0.019848462560600768, 0.12140239582263998, -0.027905914944962466, -0.15202696908298613, -0.044386962441162074, 0.18530976904522894, 0.08199708074347914, 0.017934123677800277, 0.09169129536894616, -0.14314153164741583, -0.17645742460237152, 0.43780904918509933, -0.10566644690490128, -0.17228520719800144, 0.14124525251931377, -0.1364866979919108, -0.13857864107870096, 0.05710767648581948, 0.14204613498545118, 0.11250128947930145, -0.13927986432931252, 0.0867371164567885, -0.06488391605671495, 0.1217527456361235, 0.053757825101326616, 0.06138116384058127, 0.24468462852694625, 0.18600795130311912, 0.045427465927787125, 0.1810568876130024, -0.05672290368238464, -0.14497659784891376, -0.352657852295254, -0.09646617780838694, -0.23640282046315925, 0.08086280751324791, -0.07723226897126421, -0.17423564521595836, 0.42068186056401047, 0.11307419550472073, 0.233904569176957, 0.04665273371418672, 0.2725517830944487, 0.1657191777672519, 0.05683228872450335, 0.02893898365021284, 0.20757603011276973, 0.20555694354698062, 0.14465255556362017, -0.30321620950209244, -0.07117700194066856, 0.14500758364530547] |
710.2708 | Hodge-theoretic aspects of the Decomposition Theorem | Given a projective morphism of compact, complex, algebraic varieties and a
relatively ample line bundle on the domain we prove that a suitable choice,
dictated by the line bundle, of the decomposition isomorphism of the
Decomposition Theorem of Beilinson, Bernstein, Deligne and Gabber, yields
isomorphisms of pure Hodge structures. The proof is based on a new
cohomological characterization of the decomposition isomorphism associated with
the line bundle. We prove some corollaries concerning the intersection form in
intersection cohomology, the natural map from cohomology to intersection
cohomology, projectors and Hodge cycles, and induced morphisms in intersection
cohomology.
| math.AG | given a projective morphism of compact complex algebraic varieties and a relatively ample line bundle on the domain we prove that a suitable choice dictated by the line bundle of the decomposition isomorphism of the decomposition theorem of beilinson bernstein deligne and gabber yields isomorphisms of pure hodge structures the proof is based on a new cohomological characterization of the decomposition isomorphism associated with the line bundle we prove some corollaries concerning the intersection form in intersection cohomology the natural map from cohomology to intersection cohomology projectors and hodge cycles and induced morphisms in intersection cohomology | [['given', 'a', 'projective', 'morphism', 'of', 'compact', 'complex', 'algebraic', 'varieties', 'and', 'a', 'relatively', 'ample', 'line', 'bundle', 'on', 'the', 'domain', 'we', 'prove', 'that', 'a', 'suitable', 'choice', 'dictated', 'by', 'the', 'line', 'bundle', 'of', 'the', 'decomposition', 'isomorphism', 'of', 'the', 'decomposition', 'theorem', 'of', 'beilinson', 'bernstein', 'deligne', 'and', 'gabber', 'yields', 'isomorphisms', 'of', 'pure', 'hodge', 'structures', 'the', 'proof', 'is', 'based', 'on', 'a', 'new', 'cohomological', 'characterization', 'of', 'the', 'decomposition', 'isomorphism', 'associated', 'with', 'the', 'line', 'bundle', 'we', 'prove', 'some', 'corollaries', 'concerning', 'the', 'intersection', 'form', 'in', 'intersection', 'cohomology', 'the', 'natural', 'map', 'from', 'cohomology', 'to', 'intersection', 'cohomology', 'projectors', 'and', 'hodge', 'cycles', 'and', 'induced', 'morphisms', 'in', 'intersection', 'cohomology']] | [-0.2468555912746524, -0.032375421336231135, -0.14854737626349865, 0.08560486015267088, -0.156030463889086, -0.12837250850861892, 0.01713924111390952, 0.3019688129273466, -0.39703846140764654, -0.180188214823526, 0.12061045381172637, -0.16320631320316656, -0.14778897781313086, 0.1622974412360539, -0.23242935299640521, -0.032254211177739, 0.09114759392590106, 0.05970082033794218, -0.07413704731879989, -0.21992885065628798, 0.5194239792763256, -0.05926875374279916, 0.28233700118532096, 0.11015332774453175, 0.12865941271108264, 0.010287801230636736, -0.055531683242103703, -0.06559044519478145, -0.1307544687325238, 0.19962895675901868, 0.35764880653005093, 0.08656834562134463, 0.11409334423175703, -0.3868985871085897, -0.04050704733041736, 0.221799093017277, 0.08115941101277713, -0.023713934836753953, 0.01777469354541002, -0.2777006403193809, 0.07379264425738559, -0.10653917679640774, -0.16320286364740846, -0.1073696547828149, 0.09038194651172186, 0.04033560757913316, -0.19646290670304248, -0.08927562895405572, 0.11815550817846088, 0.22482965292874724, -0.11966200712292145, -0.0869035851925825, -0.13121825125805722, -0.018210705020464957, -0.06538618770476508, 0.059747460145445075, 0.15217786797438748, -0.07218370945580925, -0.16373156013529902, 0.3694814605017503, -0.07377731728289898, -0.17056401203929758, 0.08600298209482087, -0.14883587367997583, -0.22229616559828477, 0.15764728931632513, -0.005574174991731222, 0.2127020799477274, 0.10761160382147257, 0.18196936416400908, -0.13605630724183962, 0.013346675666980445, 0.1679156344034709, -0.03317021131806541, 0.11157419257021199, 0.07030441788568471, 0.09499347507274554, 0.1237181551453735, 0.03664849173158776, -0.07727383788248214, -0.36917934213609743, -0.2533453510986874, -0.10086937759721575, 0.23746040712527852, -0.16408206858068297, -0.17944354507684088, 0.44067509157321183, 0.0033801516159049547, 0.2232193558399255, 0.15000265095538148, 0.2492041602381505, 0.030879031747948222, 0.06288719602162018, -0.008195449525373988, 0.11696376028370044, 0.34572827652300475, -0.04631444195789906, -0.09850963514812368, -0.04488778839004226, 0.3092779430298833] |
710.2709 | Dynamical black holes with symmetry in Einstein-Gauss-Bonnet gravity | We explore various aspects of dynamical black holes defined by a future outer
trapping horizon in $n(\ge 5)$-dimensional Einstein-Gauss-Bonnet gravity. In
the present paper, we assume that the spacetime has symmetries corresponding to
the isometries of an $(n-2)$-dimensional maximally symmetric space and the
Gauss-Bonnet coupling constant is non-negative. Depending on the existence or
absence of the general relativistic limit, solutions are classified into GR and
non-GR branches, respectively. Assuming the null energy condition on matter
fields, we show that a future outer trapping horizon in the GR branch possesses
the same properties as that in general relativity. In contrast, that in the
non-GR branch is shown to be non-spacelike with its area non-increasing into
the future. We can recognize this peculiar behavior to arise from a fact that
the null energy condition necessarily leads to the null convergence condition
for radial null vectors in the GR branch, but not in the non-GR branch. The
energy balance law yields the first law of a trapping horizon, from which we
can read off the entropy of a trapping horizon reproducing Iyer-Wald's
expression. The entropy of a future outer trapping horizon is shown to be
non-decreasing in both branches along its generator.
| gr-qc hep-th | we explore various aspects of dynamical black holes defined by a future outer trapping horizon in nge 5dimensional einsteingaussbonnet gravity in the present paper we assume that the spacetime has symmetries corresponding to the isometries of an n2dimensional maximally symmetric space and the gaussbonnet coupling constant is nonnegative depending on the existence or absence of the general relativistic limit solutions are classified into gr and nongr branches respectively assuming the null energy condition on matter fields we show that a future outer trapping horizon in the gr branch possesses the same properties as that in general relativity in contrast that in the nongr branch is shown to be nonspacelike with its area nonincreasing into the future we can recognize this peculiar behavior to arise from a fact that the null energy condition necessarily leads to the null convergence condition for radial null vectors in the gr branch but not in the nongr branch the energy balance law yields the first law of a trapping horizon from which we can read off the entropy of a trapping horizon reproducing iyerwalds expression the entropy of a future outer trapping horizon is shown to be nondecreasing in both branches along its generator | [['we', 'explore', 'various', 'aspects', 'of', 'dynamical', 'black', 'holes', 'defined', 'by', 'a', 'future', 'outer', 'trapping', 'horizon', 'in', 'nge', '5dimensional', 'einsteingaussbonnet', 'gravity', 'in', 'the', 'present', 'paper', 'we', 'assume', 'that', 'the', 'spacetime', 'has', 'symmetries', 'corresponding', 'to', 'the', 'isometries', 'of', 'an', 'n2dimensional', 'maximally', 'symmetric', 'space', 'and', 'the', 'gaussbonnet', 'coupling', 'constant', 'is', 'nonnegative', 'depending', 'on', 'the', 'existence', 'or', 'absence', 'of', 'the', 'general', 'relativistic', 'limit', 'solutions', 'are', 'classified', 'into', 'gr', 'and', 'nongr', 'branches', 'respectively', 'assuming', 'the', 'null', 'energy', 'condition', 'on', 'matter', 'fields', 'we', 'show', 'that', 'a', 'future', 'outer', 'trapping', 'horizon', 'in', 'the', 'gr', 'branch', 'possesses', 'the', 'same', 'properties', 'as', 'that', 'in', 'general', 'relativity', 'in', 'contrast', 'that', 'in', 'the', 'nongr', 'branch', 'is', 'shown', 'to', 'be', 'nonspacelike', 'with', 'its', 'area', 'nonincreasing', 'into', 'the', 'future', 'we', 'can', 'recognize', 'this', 'peculiar', 'behavior', 'to', 'arise', 'from', 'a', 'fact', 'that', 'the', 'null', 'energy', 'condition', 'necessarily', 'leads', 'to', 'the', 'null', 'convergence', 'condition', 'for', 'radial', 'null', 'vectors', 'in', 'the', 'gr', 'branch', 'but', 'not', 'in', 'the', 'nongr', 'branch', 'the', 'energy', 'balance', 'law', 'yields', 'the', 'first', 'law', 'of', 'a', 'trapping', 'horizon', 'from', 'which', 'we', 'can', 'read', 'off', 'the', 'entropy', 'of', 'a', 'trapping', 'horizon', 'reproducing', 'iyerwalds', 'expression', 'the', 'entropy', 'of', 'a', 'future', 'outer', 'trapping', 'horizon', 'is', 'shown', 'to', 'be', 'nondecreasing', 'in', 'both', 'branches', 'along', 'its', 'generator']] | [-0.16410627742203873, 0.1143561453780311, -0.12493196281491581, 0.09089607911918199, -0.09761062034669173, -0.132252906101951, -0.022713443294938917, 0.32350947079248726, -0.2229684830179927, -0.23814501927582302, 0.09883738527100326, -0.28130660917741634, -0.09474005187377145, 0.16434831837676653, -0.08411116770355764, -3.693360574261257e-05, 0.021357128400158024, 0.08287150187257941, -0.08053256010853055, -0.2113230321979658, 0.3465332876646308, 0.06786261258101223, 0.26627293279196956, 0.03109354481825398, 0.09489687413654545, -0.02022470269385123, 0.03742621535896277, 0.07473125968835755, -0.15666052085648655, 0.05727469824687249, 0.21457286769844064, 0.13538177743685817, 0.22436937470591128, -0.4193834200633144, -0.23417209498019834, 0.14577984038476993, 0.16478376642617426, 0.12627107771101756, -0.0725808128975614, -0.26460407944302067, 0.07186494752966958, -0.1416916943277524, -0.19479858363282423, -0.01732177790513055, 0.04434259593806634, -0.02228383707456441, -0.2317880675445941, 0.08737914764200046, 0.10054964250917288, -0.031108784028375993, -0.130598155925088, -0.05580965770853006, -0.08182808015591964, 0.08237643057899079, 0.12103868107137393, 0.006954416719669796, 0.11188846623634971, -0.10852793418223772, -0.08179706220533887, 0.3548659943467514, -0.0887780879180869, -0.23031003667615504, 0.15102492329297643, -0.22125974012247165, -0.09354360072257355, 0.09659429646868523, 0.15891305698937916, 0.16346749735825913, -0.1333779348272153, 0.17079884466900952, 0.006323730107396841, 0.10936054307673446, 0.13384017353228322, 0.044441407876832394, 0.30378100267997143, 0.09777499170447088, 0.09749560236855588, 0.1481565462855735, -0.06833272706011706, -0.1089778881839881, -0.3951522668428493, -0.15621407991251673, -0.15492685930333053, 0.07454119768645438, -0.1362087400957902, -0.173226797443784, 0.33810183427512946, 0.08164308997778918, 0.1748537268169751, 0.07056455863604436, 0.22753966589922553, 0.1223914749453531, 0.057375927325197015, 0.12531138980535395, 0.31858202670183444, 0.10287165288305418, 0.07980824730328444, -0.2443473325769483, -0.012774380909354247, 0.06463369365188885] |
710.271 | Fluctuation-dissipation theorem for thermo-refractive noise | We introduce a simple prescription for calculating the spectra of thermal
fluctuations of temperature-dependent quantities of the form $\hat{\delta
T}(t)=\int d^3\vec{r} \delta T(\vec{r},t) q(\vec{r})$. Here $T(\vec{r}, t)$ is
the local temperature at location $\vec{r}$ and time $t$, and $q(\vec{r})$ is
an arbitrary function. As an example of a possible application, we compute the
spectrum of thermo-refractive coating noise in LIGO, and find a complete
agreement with the previous calculation of Braginsky, Gorodetsky and
Vyatchanin. Our method has computational advantage, especially for non-regular
or non-symmetric geometries, and for the cases where $q(\vec{r})$ is
non-negligible in a significant fraction of the total volume.
| cond-mat.stat-mech astro-ph gr-qc | we introduce a simple prescription for calculating the spectra of thermal fluctuations of temperaturedependent quantities of the form hatdelta ttint d3vecr delta tvecrt qvecr here tvecr t is the local temperature at location vecr and time t and qvecr is an arbitrary function as an example of a possible application we compute the spectrum of thermorefractive coating noise in ligo and find a complete agreement with the previous calculation of braginsky gorodetsky and vyatchanin our method has computational advantage especially for nonregular or nonsymmetric geometries and for the cases where qvecr is nonnegligible in a significant fraction of the total volume | [['we', 'introduce', 'a', 'simple', 'prescription', 'for', 'calculating', 'the', 'spectra', 'of', 'thermal', 'fluctuations', 'of', 'temperaturedependent', 'quantities', 'of', 'the', 'form', 'hatdelta', 'ttint', 'd3vecr', 'delta', 'tvecrt', 'qvecr', 'here', 'tvecr', 't', 'is', 'the', 'local', 'temperature', 'at', 'location', 'vecr', 'and', 'time', 't', 'and', 'qvecr', 'is', 'an', 'arbitrary', 'function', 'as', 'an', 'example', 'of', 'a', 'possible', 'application', 'we', 'compute', 'the', 'spectrum', 'of', 'thermorefractive', 'coating', 'noise', 'in', 'ligo', 'and', 'find', 'a', 'complete', 'agreement', 'with', 'the', 'previous', 'calculation', 'of', 'braginsky', 'gorodetsky', 'and', 'vyatchanin', 'our', 'method', 'has', 'computational', 'advantage', 'especially', 'for', 'nonregular', 'or', 'nonsymmetric', 'geometries', 'and', 'for', 'the', 'cases', 'where', 'qvecr', 'is', 'nonnegligible', 'in', 'a', 'significant', 'fraction', 'of', 'the', 'total', 'volume']] | [-0.1217746314611862, 0.11156374810187905, -0.06694041957272236, 0.030748966191991318, -0.014170377695280099, -0.08647355302861057, 0.040389177559865354, 0.34074890302474964, -0.2016410252088969, -0.29874240367951777, 0.06746076665501849, -0.2995580752985072, -0.12302387533613394, 0.21227855757406922, -0.02864463400268524, 0.014198796727608159, 0.018078970156379583, 0.03465572142128631, -0.07004960448200305, -0.18624303006739884, 0.2758571246888527, 0.09150748695102856, 0.20947671925034567, 0.09278725281588196, 0.09676722487309929, 0.011201229383304869, -0.033906090783781, 0.04797658530561918, -0.15897516206329323, 0.03674838840169352, 0.2148797793275456, 0.060038328165975735, 0.23014733582235797, -0.36524024511658654, -0.18543155617128634, 0.12410115177224669, 0.09326102416098271, 0.11093661903173269, -0.04645560644134956, -0.18347439492486187, 0.06741851899465642, -0.18863557413527646, -0.1438738273618114, -0.08626037424180619, 0.09651036970029325, -0.0029528327382256077, -0.2966146854606947, 0.11687429306894234, 0.048857336767862754, 0.039528769834600776, -0.062025442676253845, -0.13729393481968222, -0.023581882738316257, 0.09740217176707673, -0.010711306626860475, 0.04368007963177623, 0.10725332301628497, -0.12937209707175948, -0.07663262229816047, 0.3521892506936469, -0.09295408272174831, -0.15874342232721753, 0.13267278434833532, -0.14882456461332508, -0.11911263024991321, 0.12820978904354205, 0.13735021705278339, 0.15020962704222687, -0.11852632499463164, 0.11723173365474573, -0.00939566419296658, 0.15557139648902277, 0.06918434935055442, 0.03094213975276306, 0.1604826640080872, 0.14436540393081984, 0.05092487472575158, 0.1553700388422399, -0.11413181982166373, -0.038969148978346135, -0.3225507422820809, -0.17130981515804977, -0.18671748088192694, 0.06286618984832439, -0.12470674317869593, -0.1794497640467412, 0.3568795952902742, 0.10246567109710124, 0.20509744412505748, 0.07465587147588353, 0.2904872148076898, 0.14230674429263765, 0.03716357693690615, 0.07215901603922248, 0.20162955695552, 0.12468742585222516, 0.08454409929966919, -0.24278803496650353, 0.053957665893585256, 0.013687389125068164] |
710.2711 | High photo-excited carrier multiplication by charged InAs dots in
AlAs/GaAs/AlAs resonant tunneling diode | We present an approach for the highly sensitive photon detection based on the
quantum dots (QDs) operating at temperature of 77K. The detection structure is
based on an AlAs/GaAs/AlAs double barrier resonant tunneling diode combined
with a layer of self-assembled InAs QDs (QD-RTD). A photon rate of 115 photons
per second had induced 10nA photocurrent in this structure, corresponding to
the photo-excited carrier multiplication factor of 10^7. This high
multiplication factor is achieved by the quantum dot induced memory effect and
the resonant tunneling tuning effect of QD-RTD structure.
| quant-ph | we present an approach for the highly sensitive photon detection based on the quantum dots qds operating at temperature of 77k the detection structure is based on an alasgaasalas double barrier resonant tunneling diode combined with a layer of selfassembled inas qds qdrtd a photon rate of 115 photons per second had induced 10na photocurrent in this structure corresponding to the photoexcited carrier multiplication factor of 107 this high multiplication factor is achieved by the quantum dot induced memory effect and the resonant tunneling tuning effect of qdrtd structure | [['we', 'present', 'an', 'approach', 'for', 'the', 'highly', 'sensitive', 'photon', 'detection', 'based', 'on', 'the', 'quantum', 'dots', 'qds', 'operating', 'at', 'temperature', 'of', '77k', 'the', 'detection', 'structure', 'is', 'based', 'on', 'an', 'alasgaasalas', 'double', 'barrier', 'resonant', 'tunneling', 'diode', 'combined', 'with', 'a', 'layer', 'of', 'selfassembled', 'inas', 'qds', 'qdrtd', 'a', 'photon', 'rate', 'of', '115', 'photons', 'per', 'second', 'had', 'induced', '10na', 'photocurrent', 'in', 'this', 'structure', 'corresponding', 'to', 'the', 'photoexcited', 'carrier', 'multiplication', 'factor', 'of', '107', 'this', 'high', 'multiplication', 'factor', 'is', 'achieved', 'by', 'the', 'quantum', 'dot', 'induced', 'memory', 'effect', 'and', 'the', 'resonant', 'tunneling', 'tuning', 'effect', 'of', 'qdrtd', 'structure']] | [-0.16837842032751615, 0.1858801759960924, -0.005531570090747931, -0.029973423201590778, 0.04302243957953418, -0.18720952845452463, 0.10339487768600092, 0.4158424818669172, -0.2521049318835139, -0.34075920632218615, -0.031342445118078856, -0.29478016214630126, -0.08526921094778706, 0.2436311240581905, 0.006109625024392325, 0.04017899273072972, 0.007747454760486589, -0.032349740993231534, -0.035779170437222896, -0.18119204779812956, 0.2920419380068779, 0.13443882193361573, 0.337120375464506, 0.13142885713125854, 0.13425617257461828, 0.020570204417933436, 0.08638486022896627, -0.08431992413037841, -0.11749118643758051, 0.10283640827983617, 0.18106664998785538, -0.09578205627553603, 0.2203956920078353, -0.447342359888203, -0.1544828855596921, -0.007408660442075309, 0.14732915588161524, 0.10309973485384355, -0.13718961742706598, -0.2903924932812943, 0.06732925469439258, -0.14202009151306222, -0.01963124863036415, 0.010683707816197591, -0.0244055473300464, -0.06194643424276043, -0.25997632523272735, 0.08902187032405945, 0.016053638125167174, 0.01847569559194038, 0.021953764503054758, -0.03886855129042969, 0.020966719466206783, 0.02242442182100871, -0.073140793211539, 0.01682102382183075, 0.3109847749049282, -0.12576143741950063, -0.19438003234510473, 0.30514285267768976, -0.11514079860028098, -0.09119620728580391, 0.0722122012582772, -0.1957479039371452, -0.02968482854502166, 0.1968166387256454, 0.12297538628473001, 0.16647472965859753, -0.13172952277955655, 0.07559649735511116, 0.043129997119745786, 0.2551076780237696, 0.10957301529672216, 0.139505958677653, 0.21135998366071898, 0.22969351473593097, 0.02416763645322884, 0.12145804215003463, -0.17404682851013015, -0.04095326567835668, -0.21896197679726517, -0.164308309127741, -0.215819658680052, 0.16763829115559073, -0.08939248140993775, -0.1807197185123668, 0.4310524592504782, 0.09338262040606317, 0.18884248390026828, -0.059568396725637074, 0.3145737620837548, 0.206786611391341, 0.10566050012541169, -0.0050152669277261286, 0.2518688418080702, 0.18054961234824185, 0.06004427014028325, -0.3095868781349375, 0.04989296396755997, -0.048130228254012766] |
710.2712 | The structures of standard (g,K)-modules of SL(3,R) | We describe explicitely the structures of standard $(g,K)$-modules of
$SL(3,R)$.
| math.RT math.NT | we describe explicitely the structures of standard gkmodules of sl3r | [['we', 'describe', 'explicitely', 'the', 'structures', 'of', 'standard', 'gkmodules', 'of', 'sl3r']] | [-0.1381894551217556, 0.0692022212781012, -0.11217985954135656, 0.1427380360662937, -0.06651121098548174, -0.015386165678501129, -0.05653336681425571, 0.3479719690978527, -0.33371311640366913, -0.16350034885108472, 0.04732484663836658, -0.17099234983325004, -0.22260951101779938, 0.12078225314617157, -0.11170328687876463, -0.01499494155868888, -0.02402494437992573, 0.09310468584299088, -0.12113537229597568, -0.23858809173107148, 0.3510733425617218, -0.008799984958022833, 0.22503551989793777, -0.05597827732563019, 0.14376735277473926, -0.011100992513820528, -0.022830030880868435, -0.01749374084174633, -0.2128375642001629, 0.18553808107972145, 0.2533933941274881, 0.10925387814641, 0.022369888424873353, -0.44874130338430407, -0.11648325473070145, 0.11127710938453675, 0.09113161051645875, 0.0626010955311358, 0.046106728911399844, -0.2922137870453298, 0.12490660566836595, -0.2517841704189777, -0.1955892127007246, -0.16881456971168518, 0.01422830056399107, -0.007325218990445137, -0.15659188553690911, 0.08039733059704304, 0.11309086866676807, 0.04473864363972098, -0.08380754571408033, -0.10545825622975827, -0.055302031338214874, 0.09626878388226032, 0.010648779943585396, -0.07098290943540633, 0.10692607224918901, -0.06531141623854637, -0.14568109735846518, 0.44425832480192184, -0.09346627872437238, -0.2478457037359476, 0.12707009371370076, -0.14930226374417543, -0.20778495073318481, 0.06699353884905576, 0.12022535316646099, 0.16129372403956949, -0.06403863131999969, 0.3566190958023071, -0.08393859937787056, 0.08145093966741115, 0.07122937540989369, -0.03033799831755459, 0.08284687846899033, 0.09204173237085342, -0.0892059882171452, 0.12493587136268616, 0.034355699084699154, -0.05196475461125374, -0.40596694201231004, -0.2712999727576971, -0.030897409073077142, 0.09317044392228127, -0.08452828824520112, -0.20072520673274993, 0.4445251986384392, 0.08189913034439086, 0.1770248305052519, 0.05735823070863262, 0.1411753403954208, 0.062373274192214015, 0.09680000580847263, 0.012456104997545481, 0.1739451713161543, 0.21310608610510826, -0.04853874887339771, -0.18832201100885868, -0.1307549155317247, 0.23373815566301345] |
710.2713 | Leptonic CP Violation Induced by Approximately mu-tau Symmetric Seesaw
Mechanism | Assuming a minimal seesaw model with two heavy neutrinos (N), we examine
effects of leptonic CP violation induced by approximate mu-tau symmetric
interactions. As long as N is subject to the mu-tau symmetry, we can choose CP
phases of Dirac mass terms without loss of generality in such a way that these
phases arise from mu-tau symmetry breaking interactions. In the case that no
phase is present in heavy neutrino mass terms, leptonic CP phases are
controlled by two phases alpha and beta. The similar consideration is extended
to N blind to the mu-tau symmetry. It is argued that N subject (blind) to the
mu-tau symmetry necessarily describes the normal (inverted) mass hierarchy. We
restrict ourselves to mu-tau symmetric textures giving the tri-bimaximal mixing
and calculate flavor neutrino masses to estimate CP-violating Dirac and
Majorana phases as well as neutrino mixing angles as functions of alpha and
beta. Since alpha and beta are generated by mu-tau symmetry breaking
interactions, CP-violating Majorana phase tends to be suppressed and is found
to be at most O(0.1) radian. On the other hand, CP-violating Dirac phase tends
to show a proportionality to alpha or to beta.
| hep-ph | assuming a minimal seesaw model with two heavy neutrinos n we examine effects of leptonic cp violation induced by approximate mutau symmetric interactions as long as n is subject to the mutau symmetry we can choose cp phases of dirac mass terms without loss of generality in such a way that these phases arise from mutau symmetry breaking interactions in the case that no phase is present in heavy neutrino mass terms leptonic cp phases are controlled by two phases alpha and beta the similar consideration is extended to n blind to the mutau symmetry it is argued that n subject blind to the mutau symmetry necessarily describes the normal inverted mass hierarchy we restrict ourselves to mutau symmetric textures giving the tribimaximal mixing and calculate flavor neutrino masses to estimate cpviolating dirac and majorana phases as well as neutrino mixing angles as functions of alpha and beta since alpha and beta are generated by mutau symmetry breaking interactions cpviolating majorana phase tends to be suppressed and is found to be at most o01 radian on the other hand cpviolating dirac phase tends to show a proportionality to alpha or to beta | [['assuming', 'a', 'minimal', 'seesaw', 'model', 'with', 'two', 'heavy', 'neutrinos', 'n', 'we', 'examine', 'effects', 'of', 'leptonic', 'cp', 'violation', 'induced', 'by', 'approximate', 'mutau', 'symmetric', 'interactions', 'as', 'long', 'as', 'n', 'is', 'subject', 'to', 'the', 'mutau', 'symmetry', 'we', 'can', 'choose', 'cp', 'phases', 'of', 'dirac', 'mass', 'terms', 'without', 'loss', 'of', 'generality', 'in', 'such', 'a', 'way', 'that', 'these', 'phases', 'arise', 'from', 'mutau', 'symmetry', 'breaking', 'interactions', 'in', 'the', 'case', 'that', 'no', 'phase', 'is', 'present', 'in', 'heavy', 'neutrino', 'mass', 'terms', 'leptonic', 'cp', 'phases', 'are', 'controlled', 'by', 'two', 'phases', 'alpha', 'and', 'beta', 'the', 'similar', 'consideration', 'is', 'extended', 'to', 'n', 'blind', 'to', 'the', 'mutau', 'symmetry', 'it', 'is', 'argued', 'that', 'n', 'subject', 'blind', 'to', 'the', 'mutau', 'symmetry', 'necessarily', 'describes', 'the', 'normal', 'inverted', 'mass', 'hierarchy', 'we', 'restrict', 'ourselves', 'to', 'mutau', 'symmetric', 'textures', 'giving', 'the', 'tribimaximal', 'mixing', 'and', 'calculate', 'flavor', 'neutrino', 'masses', 'to', 'estimate', 'cpviolating', 'dirac', 'and', 'majorana', 'phases', 'as', 'well', 'as', 'neutrino', 'mixing', 'angles', 'as', 'functions', 'of', 'alpha', 'and', 'beta', 'since', 'alpha', 'and', 'beta', 'are', 'generated', 'by', 'mutau', 'symmetry', 'breaking', 'interactions', 'cpviolating', 'majorana', 'phase', 'tends', 'to', 'be', 'suppressed', 'and', 'is', 'found', 'to', 'be', 'at', 'most', 'o01', 'radian', 'on', 'the', 'other', 'hand', 'cpviolating', 'dirac', 'phase', 'tends', 'to', 'show', 'a', 'proportionality', 'to', 'alpha', 'or', 'to', 'beta']] | [-0.16413942018698435, 0.3218705619268197, 0.024541707571491617, 0.14477537395396212, -0.09897720660471047, -0.22745415096142096, 0.07378261207365237, 0.3436906736387755, -0.2537017060221842, -0.3074255992930072, 0.06032245100565584, -0.28330448070588926, -0.07311438099259249, 0.04740314704395132, 0.05305083255370846, 0.0320150722576121, -0.04873742924489003, -0.032122435698208086, -0.16968247434912578, -0.1700298045676997, 0.29008812487033236, -0.012699345096431594, 0.20572275595138004, 0.032123546069972995, -0.006572163387318142, -0.07383982645357416, 0.012560754577862099, -0.10433083042153157, -0.08425611436962299, -0.06626156609854661, 0.1819338297524761, 0.051396092118617766, 0.03633123928981755, -0.3678249415049019, -0.12625937359795594, 0.19996971175593595, 0.18136547718313523, 0.07258705471273667, -0.09190602903739394, -0.35359309325455496, 0.059684001961917, -0.22945646515745466, -0.16088889961489863, -0.07665483587697963, -0.01904044472394162, -0.13655594984811614, -0.4012647866935974, 0.10766509510661611, -0.011770149823253936, -0.04224673112063707, 0.05621997740066339, -0.17174374782674326, -0.06941641982848523, 0.06642119791043417, 0.2211356740232683, -0.05075425851464388, 0.08299738762661946, -0.11788156002997614, -0.09701534300984349, 0.5012226923712054, -0.048867359387562224, -0.20795367042713528, 0.12149052694379255, -0.1902833674143191, -0.1410622963545999, 0.12045532237971202, 0.16673978599525677, 0.02961584112563287, -0.13909217700779664, 0.16339293193656582, -0.08582295824696, 0.16568796304030306, 0.0689206191066963, 0.01865568356818888, 0.2614245147657736, 0.13046683999709785, 0.12510860283024763, 0.01815725894903153, -0.06916896156447667, -0.04194948079020833, -0.3717514773112877, -0.09496806563220161, -0.1419623361240762, 0.0850699409590258, -0.0685107027476685, -0.11390453510830412, 0.40047445803550846, 0.09005819984001089, 0.2093279030280731, 0.01683360864262795, 0.23418523750297027, 0.08531080746555138, 0.07029731479027153, -0.002703110655905524, 0.2741353710371186, 0.16446656368558857, 0.07528666931951496, -0.2926762625781218, 0.042545979800706846, 0.09307800800646267] |
710.2714 | On the Brink of Major Discoveries in Weak Charm Decays -- a Bismarckian
Chance to Make History | The recently obtained strong evidence for $D^0 - \bar D^0$ oscillations from
the $B$ factories provides an important benchmark in our search for New Physics
in charm transitions. While the theoretical verdict on the observed values of
$x_D$ and $y_D$ is ambiguous -- they could be fully generated by SM dynamics,
yet could contain also a sizable contribution from New Physics -- such
oscillations provide a new stage for \cp violation driven by New Physics. After
emphasizing the unique role of charm among up-type quarks, I describe in some
detail the \cp phenomenology for charm decays.
| hep-ph | the recently obtained strong evidence for d0 bar d0 oscillations from the b factories provides an important benchmark in our search for new physics in charm transitions while the theoretical verdict on the observed values of x_d and y_d is ambiguous they could be fully generated by sm dynamics yet could contain also a sizable contribution from new physics such oscillations provide a new stage for cp violation driven by new physics after emphasizing the unique role of charm among uptype quarks i describe in some detail the cp phenomenology for charm decays | [['the', 'recently', 'obtained', 'strong', 'evidence', 'for', 'd0', 'bar', 'd0', 'oscillations', 'from', 'the', 'b', 'factories', 'provides', 'an', 'important', 'benchmark', 'in', 'our', 'search', 'for', 'new', 'physics', 'in', 'charm', 'transitions', 'while', 'the', 'theoretical', 'verdict', 'on', 'the', 'observed', 'values', 'of', 'x_d', 'and', 'y_d', 'is', 'ambiguous', 'they', 'could', 'be', 'fully', 'generated', 'by', 'sm', 'dynamics', 'yet', 'could', 'contain', 'also', 'a', 'sizable', 'contribution', 'from', 'new', 'physics', 'such', 'oscillations', 'provide', 'a', 'new', 'stage', 'for', 'cp', 'violation', 'driven', 'by', 'new', 'physics', 'after', 'emphasizing', 'the', 'unique', 'role', 'of', 'charm', 'among', 'uptype', 'quarks', 'i', 'describe', 'in', 'some', 'detail', 'the', 'cp', 'phenomenology', 'for', 'charm', 'decays']] | [-0.051858969218027524, 0.24246372336221944, -0.07994680302167531, 0.14489366895874703, -0.08584247779862214, -0.1776421357807453, 0.08288884339278303, 0.2523483607958081, -0.27235529601814285, -0.2729022013804605, 0.01953611944574282, -0.31298070035434217, -0.05711048287189295, 0.19422060102775132, 0.035928901490224624, 0.045421248526088344, 0.0838656290759763, -0.035642869692603725, -0.031870071479539956, -0.18882969988920595, 0.2557392535200443, 0.005999863062614715, 0.18581606740612658, 0.13805194505520405, -0.012895609696535894, -0.06267074541118677, -0.07052843427656078, -0.035599435949998516, -0.1134118550880787, 0.02442405417922043, 0.2065765071104491, 0.1486628828094571, 0.1594790340531417, -0.3838575444965353, -0.11525475190732107, 0.13039784396307602, 0.17266230840956973, 0.11602970830575433, -0.19179717456967, -0.3523019945088734, 0.07538841346338872, -0.1463677307931326, -0.10040789407988389, -0.1535071127882768, 0.05625944193552739, -0.10025721225669727, -0.3182715099938314, 0.08454073038451644, -0.021969037450930123, 0.07465262830217359, 0.040418120436570656, -0.24797347728763858, -0.0013211232795309956, 0.08354459638627226, 0.10202882352400251, 0.06027609753792965, 0.07387153805804349, -0.17961136958191312, -0.1933094269986595, 0.4092725732874486, -0.07401181287783128, -0.1519581342506553, 0.17857088036434624, -0.18889572828887932, -0.20447699370983644, 0.11383412098411912, 0.2177546334763368, 0.023492438803797446, -0.20596134251043682, 0.13239186218005897, -0.052842168873476404, 0.1406499054032548, 0.009001194552007702, 0.09544330849863028, 0.29471243177672035, 0.24226309255927161, -0.0035813884779570563, 0.027622844411751196, -0.052698151308602545, -0.07344880967991807, -0.4130405481824631, -0.12736850602912805, -0.055494503680771835, 0.06016984622504923, -0.037534470634718965, -0.0699188810602952, 0.4214146867023921, 0.10100644581290262, 0.2286903752835207, -0.07942452962930885, 0.24512995186672415, 0.027981127943387956, 0.054134475170529536, 0.07659486932329514, 0.3467495338255865, 0.13492143663868147, 0.15163939264703102, -0.25821606600306607, 0.10533375702097371, 0.035578778024227105] |
710.2715 | Off-shell dimensional reduction of 5D orbifold supergravity | We present a systematic way for deriving a four-dimensional (4D) effective
action of the five-dimensional (5D) orbifold supergravity respecting the N=1
{\it off-shell} structure. As an illustrating example, we derive a 4D effective
theory of the 5D gauged supergravity with a universal hypermultiplet and {\it
generic} gaugings, which includes the 5D heterotic M-theory and the
supersymmetric Randall-Sundrum model as special limits of the gauging
parameters. We show the vacuum structure of such model, especially the nature
of moduli stabilization, introducing perturbative superpotential terms at the
orbifold fixed points.
| hep-th hep-ph | we present a systematic way for deriving a fourdimensional 4d effective action of the fivedimensional 5d orbifold supergravity respecting the n1 it offshell structure as an illustrating example we derive a 4d effective theory of the 5d gauged supergravity with a universal hypermultiplet and it generic gaugings which includes the 5d heterotic mtheory and the supersymmetric randallsundrum model as special limits of the gauging parameters we show the vacuum structure of such model especially the nature of moduli stabilization introducing perturbative superpotential terms at the orbifold fixed points | [['we', 'present', 'a', 'systematic', 'way', 'for', 'deriving', 'a', 'fourdimensional', '4d', 'effective', 'action', 'of', 'the', 'fivedimensional', '5d', 'orbifold', 'supergravity', 'respecting', 'the', 'n1', 'it', 'offshell', 'structure', 'as', 'an', 'illustrating', 'example', 'we', 'derive', 'a', '4d', 'effective', 'theory', 'of', 'the', '5d', 'gauged', 'supergravity', 'with', 'a', 'universal', 'hypermultiplet', 'and', 'it', 'generic', 'gaugings', 'which', 'includes', 'the', '5d', 'heterotic', 'mtheory', 'and', 'the', 'supersymmetric', 'randallsundrum', 'model', 'as', 'special', 'limits', 'of', 'the', 'gauging', 'parameters', 'we', 'show', 'the', 'vacuum', 'structure', 'of', 'such', 'model', 'especially', 'the', 'nature', 'of', 'moduli', 'stabilization', 'introducing', 'perturbative', 'superpotential', 'terms', 'at', 'the', 'orbifold', 'fixed', 'points']] | [-0.13051849117354405, 0.12946266061457704, 0.0017554086199114945, 0.13903931165325709, -0.11112299549346392, -0.1766907707576386, -0.004371092558192851, 0.2658144814724272, -0.1287202594500162, -0.2826679474991662, 0.059886416036699135, -0.24424930254727686, -0.21812670536085285, 0.05059448019230992, -0.08097975161879069, 0.029990701512856918, -0.059665394788184625, 0.02965569916308265, -0.1620915604316079, -0.25789612506791443, 0.3671955154118636, 0.014762022900371945, 0.2666410095037215, 0.026763368548761882, 0.1555965014479377, -0.01785283063707704, 0.06466158731861717, -0.028399364059706302, -0.12266408173706043, 0.17627551419321785, 0.23904580932470376, 0.0520527179945599, 0.015544175810646266, -0.40536994741044263, -0.24438997309400953, 0.07995593330865218, 0.1901932666250187, 0.21903144092357252, -0.027959292373535307, -0.3020478192907335, 0.02889844093905677, -0.21016239005521956, -0.18233623397992976, -0.12252202431607823, -0.03259873225099661, -0.20689689005005427, -0.26692885118774773, 0.014481768209820571, -0.020920629464936526, 0.06452433959665624, -0.09481600086755035, -0.07527926883035847, -0.16489238341719928, 0.06429681690960107, 0.18056896687300072, 0.05170469008788297, 0.12889042577113619, -0.21792632595514244, -0.13017243578162213, 0.407842420486056, -0.07797312839168379, -0.24883538149350154, 0.09325099734335461, -0.07828000194223766, -0.1785755673402243, 0.050825501851663415, 0.07821056523773057, 0.24557114019989967, -0.09993985884383702, 0.3446496301476145, -0.030898054151541808, 0.1052485919340556, 0.06801733208439228, 0.06854649118825117, 0.2628002107587897, 0.1831389543685046, 0.026285245674609378, 0.14107162950941446, 0.015824907004240562, -0.10898208637213842, -0.5457614294507287, -0.13331243375697258, -0.05362740592417223, 0.17964347360909663, -0.2382642149932508, -0.20415847474412824, 0.41222027119841764, 0.07110791117619639, 0.18754315347707068, 0.08190885263585104, 0.17845143326981502, 0.08934507658440535, 0.04850406838919629, 0.014203597410497341, 0.273381860058924, 0.09920364965430715, 0.021669357528232715, -0.2647724309459921, -0.2221757325566035, 0.2607399219202555] |
710.2716 | Cost and Effects of Pinning Control for Network Synchronization | In this paper, the problem of pinning control for synchronization of complex
dynamical networks is discussed. A cost function of the controlled network is
defined by the feedback gain and the coupling strength of the network. An
interesting result is that lower cost is achieved by the control scheme of
pinning nodes with smaller degrees. Some rigorous mathematical analysis is
presented for achieving lower cost in the synchronization of different
star-shaped networks. Numerical simulations on some non-regular complex
networks generated by the Barabasi-Albert model and various star-shaped
networks are shown for verification and illustration.
| cs.NI | in this paper the problem of pinning control for synchronization of complex dynamical networks is discussed a cost function of the controlled network is defined by the feedback gain and the coupling strength of the network an interesting result is that lower cost is achieved by the control scheme of pinning nodes with smaller degrees some rigorous mathematical analysis is presented for achieving lower cost in the synchronization of different starshaped networks numerical simulations on some nonregular complex networks generated by the barabasialbert model and various starshaped networks are shown for verification and illustration | [['in', 'this', 'paper', 'the', 'problem', 'of', 'pinning', 'control', 'for', 'synchronization', 'of', 'complex', 'dynamical', 'networks', 'is', 'discussed', 'a', 'cost', 'function', 'of', 'the', 'controlled', 'network', 'is', 'defined', 'by', 'the', 'feedback', 'gain', 'and', 'the', 'coupling', 'strength', 'of', 'the', 'network', 'an', 'interesting', 'result', 'is', 'that', 'lower', 'cost', 'is', 'achieved', 'by', 'the', 'control', 'scheme', 'of', 'pinning', 'nodes', 'with', 'smaller', 'degrees', 'some', 'rigorous', 'mathematical', 'analysis', 'is', 'presented', 'for', 'achieving', 'lower', 'cost', 'in', 'the', 'synchronization', 'of', 'different', 'starshaped', 'networks', 'numerical', 'simulations', 'on', 'some', 'nonregular', 'complex', 'networks', 'generated', 'by', 'the', 'barabasialbert', 'model', 'and', 'various', 'starshaped', 'networks', 'are', 'shown', 'for', 'verification', 'and', 'illustration']] | [-0.2042798320453198, 0.07303468520060166, 0.014306143451323534, 0.04564239360649693, -0.034984977202529605, -0.16376853139917466, 0.045034356010295054, 0.3844653404951888, -0.26154429175237076, -0.30152171511361575, 0.09354377338573575, -0.21800819090369375, -0.23655964348940772, 0.21723670674676193, -0.0663610350494174, 0.0769951515236592, 0.06323393718636733, 0.030485734118128868, 0.0030081964802601315, -0.2516247767836173, 0.3216769734033423, 0.07420095145464578, 0.3067212449386716, 0.08226443262414095, 0.08557054552031641, -0.03955665174772606, 0.003597782270863969, 0.052071097335391774, -0.11670586549495211, 0.14303894269780473, 0.23264530255518695, 0.11926367006542042, 0.31417127659524535, -0.4277973886228791, -0.25619305049916336, 0.11060236020514028, 0.1278383712918359, 0.10446028205308508, -0.040712489960764715, -0.3005005433719526, 0.11102586891006758, -0.14788451073493095, -0.10878882439747611, -0.06430664645418763, 0.005474672296104279, 0.06786974744854307, -0.28172738527126134, 0.04003502914999077, 0.05318459216845866, 0.10243960005290648, -0.03228272497901653, -0.09201563519742736, -0.049859191168426596, 0.11912811155297219, -0.009111244066747183, 0.02486235880233506, 0.10824304709812883, -0.14705687932462055, -0.1461808363698978, 0.35188074845899925, 0.018527206307168097, -0.23904252959851255, 0.17763856227727645, -0.053048044200392164, -0.11113951468166519, 0.12100974575893834, 0.21123332855232219, 0.0798231928629127, -0.16739991446956992, 0.050373583366386, -0.023890440520691746, 0.1414619897432784, 0.04250838640740419, 0.0211280776172916, 0.09195287168977108, 0.2846111805980748, 0.12134373000763515, 0.1658888740683014, -0.01068657652247063, -0.15025171159489198, -0.27042511470140296, -0.0718145409618762, -0.2328512687037917, 0.011747414827039664, -0.17583832141718495, -0.12715430553857623, 0.39245645040930266, 0.11057223344935065, 0.17850679566370362, 0.13109025620716683, 0.3025372810661793, 0.14307839610673329, 0.041554606281855005, 0.061276611272602324, 0.23399126851012275, 0.14431830523337455, 0.10318375833609954, -0.22509659732137113, 0.09701742721285592, 0.0385908457534784] |
710.2717 | Probing Nonequilibrium Fluctuations through Linear Response | Linear response analysis in the nonequilibrium steady state (Gaussian regime)
provides two independent fluctuation-response relations. One, in the form of
the symmetric matrix, manifests the departure from the equilibrium formula
through the quantity so-called {\it irreversible circulation}. The other, in
the anti-symmetric form, connects the asymmetries in the fluctuation and the
response function. These formulas represent characteristic features of
fluctuations far from equilibrium, which have no counterparts in thermal
equilibrium.
| cond-mat.stat-mech cond-mat.soft | linear response analysis in the nonequilibrium steady state gaussian regime provides two independent fluctuationresponse relations one in the form of the symmetric matrix manifests the departure from the equilibrium formula through the quantity socalled it irreversible circulation the other in the antisymmetric form connects the asymmetries in the fluctuation and the response function these formulas represent characteristic features of fluctuations far from equilibrium which have no counterparts in thermal equilibrium | [['linear', 'response', 'analysis', 'in', 'the', 'nonequilibrium', 'steady', 'state', 'gaussian', 'regime', 'provides', 'two', 'independent', 'fluctuationresponse', 'relations', 'one', 'in', 'the', 'form', 'of', 'the', 'symmetric', 'matrix', 'manifests', 'the', 'departure', 'from', 'the', 'equilibrium', 'formula', 'through', 'the', 'quantity', 'socalled', 'it', 'irreversible', 'circulation', 'the', 'other', 'in', 'the', 'antisymmetric', 'form', 'connects', 'the', 'asymmetries', 'in', 'the', 'fluctuation', 'and', 'the', 'response', 'function', 'these', 'formulas', 'represent', 'characteristic', 'features', 'of', 'fluctuations', 'far', 'from', 'equilibrium', 'which', 'have', 'no', 'counterparts', 'in', 'thermal', 'equilibrium']] | [-0.13237874086813203, 0.14463442022513065, -0.1915336996716048, 0.07664094479322167, -0.015477901218192917, -0.1027992914297751, 0.026581615768373014, 0.2665794295125774, -0.29786021797252554, -0.22387613935030198, 0.059878908521828374, -0.3300816705716508, -0.15726272430537003, 0.14445038001452173, 0.06568963060126407, 0.029248543489458306, -0.03887630221101322, 0.03817334268242121, -0.07212583744798653, -0.09292557122119303, 0.2978281636389771, -0.004198480074826096, 0.33690704575606756, -0.020855569300640905, 0.051456789363042585, 0.008336352650076151, -0.012205234888408864, 0.008148775675467082, -0.11432391405105591, 0.022395962509991867, 0.24325571605669602, 0.08489274857056443, 0.21439197950863412, -0.45648587074662955, -0.18307874235989793, 0.12814629157739027, 0.09302153046508985, 0.1217342623825451, 0.003064911746020828, -0.20392403400370052, -0.04990937536848443, -0.16877929783825363, -0.16046214313911542, -0.0630769605914663, 0.02037462079897523, 0.013848181388207844, -0.2380936792785568, 0.1695804575059031, 0.0980502560235826, 0.058932100529117244, -0.07502222092423055, -0.1327121780919177, -0.06305473533325961, 0.13360318318009376, 0.04339895229786635, -0.03368141800830407, 0.18261790205059306, -0.16551111289965256, -0.06126305004249194, 0.3294474070625646, -0.12871585239523223, -0.22514184253024203, 0.14057867425893034, -0.198909085476771, -0.1131812853572358, 0.16214094400139792, 0.08985084490850567, 0.07536579072475433, -0.18330273025536112, 0.05540362177000913, -0.05029340834090752, 0.09879131939628029, 0.05910607682807105, 0.06949426576861047, 0.26473221331834795, 0.08030087792181544, 0.04337610725113856, 0.2103491581851683, -0.041922952301268065, -0.22127431266541991, -0.3247175238494362, -0.1113342795521021, -0.17986556082697852, 0.09529624787059479, -0.10568487115316592, -0.17803995982477708, 0.38877136262266765, 0.13000586724707058, 0.16583279658641134, 0.04575106928158285, 0.2664516386709043, 0.17888340205619377, 0.04099228817171284, 0.10024507776168841, 0.3014781974522131, 0.1934153616594683, 0.13216551860927472, -0.2635566647896277, 0.1453078300559095, 0.04091435493901372] |
710.2718 | Stochastic resonance in a single electron turnstile | In this paper, we report stochastic resonance (SR) in a single electron
turnstile. It has been known that SR emerges by the cooperation of a weak
periodic signal and noise in a bistable system. A periodic signal produces
switching between two stable states by lowering the potential barrier. Even if
the amplitude of the signal is not large enough to make the potential barrier
disappear, the switching can occur with the help of noise. As a result, an
output signal-to-noise ratio (SNR), which shows how much the switching is
synchronized with the signal, can be enhanced by increasing the noise. We have
formulated the SR in a single electron turnstile into the adiabatic two-state
theory of McNamara-Wiesenfeld and confirmed its manifestation by numerical
simulation. These results could be applied to detection of the periodic motion
of very small electric charge under noisy environment.
| quant-ph | in this paper we report stochastic resonance sr in a single electron turnstile it has been known that sr emerges by the cooperation of a weak periodic signal and noise in a bistable system a periodic signal produces switching between two stable states by lowering the potential barrier even if the amplitude of the signal is not large enough to make the potential barrier disappear the switching can occur with the help of noise as a result an output signaltonoise ratio snr which shows how much the switching is synchronized with the signal can be enhanced by increasing the noise we have formulated the sr in a single electron turnstile into the adiabatic twostate theory of mcnamarawiesenfeld and confirmed its manifestation by numerical simulation these results could be applied to detection of the periodic motion of very small electric charge under noisy environment | [['in', 'this', 'paper', 'we', 'report', 'stochastic', 'resonance', 'sr', 'in', 'a', 'single', 'electron', 'turnstile', 'it', 'has', 'been', 'known', 'that', 'sr', 'emerges', 'by', 'the', 'cooperation', 'of', 'a', 'weak', 'periodic', 'signal', 'and', 'noise', 'in', 'a', 'bistable', 'system', 'a', 'periodic', 'signal', 'produces', 'switching', 'between', 'two', 'stable', 'states', 'by', 'lowering', 'the', 'potential', 'barrier', 'even', 'if', 'the', 'amplitude', 'of', 'the', 'signal', 'is', 'not', 'large', 'enough', 'to', 'make', 'the', 'potential', 'barrier', 'disappear', 'the', 'switching', 'can', 'occur', 'with', 'the', 'help', 'of', 'noise', 'as', 'a', 'result', 'an', 'output', 'signaltonoise', 'ratio', 'snr', 'which', 'shows', 'how', 'much', 'the', 'switching', 'is', 'synchronized', 'with', 'the', 'signal', 'can', 'be', 'enhanced', 'by', 'increasing', 'the', 'noise', 'we', 'have', 'formulated', 'the', 'sr', 'in', 'a', 'single', 'electron', 'turnstile', 'into', 'the', 'adiabatic', 'twostate', 'theory', 'of', 'mcnamarawiesenfeld', 'and', 'confirmed', 'its', 'manifestation', 'by', 'numerical', 'simulation', 'these', 'results', 'could', 'be', 'applied', 'to', 'detection', 'of', 'the', 'periodic', 'motion', 'of', 'very', 'small', 'electric', 'charge', 'under', 'noisy', 'environment']] | [-0.1770971324589943, 0.1573133255351166, -0.05706381803693276, 0.03965320513898533, -0.011657253839075565, -0.1760932228849335, 0.08576867182929279, 0.3707670951868788, -0.29045375158131437, -0.291694597521482, 0.07381887922004442, -0.2313818737182399, -0.16450571429646824, 0.1911003123755685, -0.06802841423827052, 0.010963486333321911, 0.05814178494497163, 0.05541274700359717, -0.02400320531590514, -0.19241608232653268, 0.2554168781063939, 0.08205702188621525, 0.27027631158986404, 0.03567673770086118, 0.0758888691362046, -0.009837734855672109, 0.05617014327066833, 0.04780261764142164, -0.03475364475228379, 0.039035561107161366, 0.2467784368151038, 0.07213722411903854, 0.2566469638595279, -0.45075546551338386, -0.22775917548955169, 0.10774915102085518, 0.15661863204969823, 0.15345078954246866, -0.10971270104817732, -0.2960216647971579, 0.094962830399491, -0.1574821955307951, -0.10271153412103443, -0.05660266458699611, 0.0009613355070772306, 0.06020044042846896, -0.30062492322471834, 0.07990343398480139, 0.09578360427616978, 0.01796576813433949, -0.054583322080540876, -0.056652845413929086, -0.013404966309063241, 0.1064181497687815, 0.038968869258689, 0.036138099680562884, 0.15041772953421534, -0.1032760026315424, -0.10238196774267815, 0.3432890027564701, -0.11795508892674648, -0.1871282011270523, 0.17780301456575767, -0.17188902845947254, -0.057951026809283754, 0.20412304354044544, 0.1365712310030112, 0.06978967681553372, -0.14426131954442867, 0.06255295815546406, 0.014579233083821518, 0.1958249925937451, 0.07838782385437632, 0.04215829264746428, 0.21190576891834573, 0.2006367372503032, 0.08665293982600085, 0.1487797053570164, -0.16202863160513414, -0.08026763187101583, -0.2383018278411891, -0.09094637525792588, -0.18352340849880522, 0.07619322333199999, -0.06939000921618213, -0.14624772059508193, 0.398644281649621, 0.14091406823595015, 0.20569593902565803, -0.02142401919027948, 0.3122901486685421, 0.20410949130736056, 0.04121246612237268, 0.011179856746129587, 0.2861989442534535, 0.13781791311708397, 0.12279360236363931, -0.2563670634580645, 0.08746159356251411, -0.047828140891563724] |
710.2719 | Branes on Poisson varieties | We first extend the notion of connection in the context of Courant algebroids
to obtain a new characterization of generalized Kaehler geometry. We then
establish a new notion of isomorphism between holomorphic Poisson manifolds,
which is non-holomorphic in nature. Finally we show an equivalence between
certain configurations of branes on Poisson varieties and generalized Kaehler
structures, and use this to construct explicitly new families of generalized
Kaehler structures on compact holomorphic Poisson manifolds equipped with
positive Poisson line bundles (e.g. Fano manifolds). We end with some
speculations concerning the connection to non-commutative algebraic geometry.
| math.DG hep-th math.SG | we first extend the notion of connection in the context of courant algebroids to obtain a new characterization of generalized kaehler geometry we then establish a new notion of isomorphism between holomorphic poisson manifolds which is nonholomorphic in nature finally we show an equivalence between certain configurations of branes on poisson varieties and generalized kaehler structures and use this to construct explicitly new families of generalized kaehler structures on compact holomorphic poisson manifolds equipped with positive poisson line bundles eg fano manifolds we end with some speculations concerning the connection to noncommutative algebraic geometry | [['we', 'first', 'extend', 'the', 'notion', 'of', 'connection', 'in', 'the', 'context', 'of', 'courant', 'algebroids', 'to', 'obtain', 'a', 'new', 'characterization', 'of', 'generalized', 'kaehler', 'geometry', 'we', 'then', 'establish', 'a', 'new', 'notion', 'of', 'isomorphism', 'between', 'holomorphic', 'poisson', 'manifolds', 'which', 'is', 'nonholomorphic', 'in', 'nature', 'finally', 'we', 'show', 'an', 'equivalence', 'between', 'certain', 'configurations', 'of', 'branes', 'on', 'poisson', 'varieties', 'and', 'generalized', 'kaehler', 'structures', 'and', 'use', 'this', 'to', 'construct', 'explicitly', 'new', 'families', 'of', 'generalized', 'kaehler', 'structures', 'on', 'compact', 'holomorphic', 'poisson', 'manifolds', 'equipped', 'with', 'positive', 'poisson', 'line', 'bundles', 'eg', 'fano', 'manifolds', 'we', 'end', 'with', 'some', 'speculations', 'concerning', 'the', 'connection', 'to', 'noncommutative', 'algebraic', 'geometry']] | [-0.19949979267697385, 0.004778431692102458, -0.0744027841236799, 0.15226752098966786, -0.204204589009602, -0.1619139129117607, -0.01280911819652674, 0.3573406155201349, -0.3139150690762921, -0.2254527123803471, 0.04933670874774218, -0.2056729203743979, -0.26937104396997613, 0.16972998957684698, -0.19275320546473673, -0.029100234298273287, 0.021371728096632882, 0.05000275065329798, -0.18568664314621625, -0.2703076393957785, 0.5679265800863504, 0.03541222210364178, 0.2477002639033673, 0.07717198195143979, 0.15548343442261536, -0.031141729781433862, -0.026516705206496283, -0.027090495650438553, -0.20320997782487502, 0.1771035125922471, 0.2682338226190273, 0.012882551237782265, 0.14062989774120457, -0.4053180821418287, -0.14144578047574774, 0.18561172719172975, 0.06423967313736632, 0.00694488855252201, -0.003370492077591096, -0.3170721114395147, 0.0877823357202826, -0.12166323798133973, -0.1927148913370168, -0.136498500405999, -0.009997589253582694, 0.031382117841511646, -0.17322103353217244, -0.04363901654080032, 0.115073588602443, 0.08428119891818533, -0.09682071593372112, -0.046055031337210554, -0.041610075725599174, 0.006236769729591114, -0.014585998898837715, -0.026176202176584604, 0.09702276391413142, -0.019338767130938458, -0.18809521147062347, 0.30733696062197075, -0.06155619913268775, -0.3102870585515778, 0.1043056484727942, -0.11580311615723482, -0.26074884572323964, 0.09844044244233915, 0.1550236501077071, 0.15821382776645826, -0.06234803013107244, 0.16703450619961394, -0.08477877652114059, -0.00019093430006599172, 0.17071474161236844, -0.003888505198893712, 0.17310548749098437, 0.10583102327593147, 0.12028748605479585, 0.15914029315946268, -0.0024167701770412796, -0.14557730892494797, -0.38412893724013514, -0.19539998443995385, -0.041352493445725835, 0.23937045526195397, -0.15344831257274602, -0.22334501608225338, 0.3752927575854862, 0.013932687636623357, 0.2554661735020419, 0.1430450592925673, 0.1708067124709487, 0.019460620195109475, 0.007875973418196465, 0.027791771131191165, 0.1502097607407585, 0.3323964378003903, 0.02088927413198225, -0.05951740541198152, -0.1405998322440242, 0.17535927984368135] |
710.272 | Schubert Polynomials for the affine Grassmannian of the symplectic group | We study the Schubert calculus of the affine Grassmannian Gr of the
symplectic group. The integral homology and cohomology rings of Gr are
identified with dual Hopf algebras of symmetric functions, defined in terms of
Schur's P and Q-functions. An explicit combinatorial description is obtained
for the Schubert basis of the cohomology of Gr, and this is extended to a
definition of the affine type C Stanley symmetric functions. A homology Pieri
rule is also given for the product of a special Schubert class with an
arbitrary one.
| math.CO math.AG | we study the schubert calculus of the affine grassmannian gr of the symplectic group the integral homology and cohomology rings of gr are identified with dual hopf algebras of symmetric functions defined in terms of schurs p and qfunctions an explicit combinatorial description is obtained for the schubert basis of the cohomology of gr and this is extended to a definition of the affine type c stanley symmetric functions a homology pieri rule is also given for the product of a special schubert class with an arbitrary one | [['we', 'study', 'the', 'schubert', 'calculus', 'of', 'the', 'affine', 'grassmannian', 'gr', 'of', 'the', 'symplectic', 'group', 'the', 'integral', 'homology', 'and', 'cohomology', 'rings', 'of', 'gr', 'are', 'identified', 'with', 'dual', 'hopf', 'algebras', 'of', 'symmetric', 'functions', 'defined', 'in', 'terms', 'of', 'schurs', 'p', 'and', 'qfunctions', 'an', 'explicit', 'combinatorial', 'description', 'is', 'obtained', 'for', 'the', 'schubert', 'basis', 'of', 'the', 'cohomology', 'of', 'gr', 'and', 'this', 'is', 'extended', 'to', 'a', 'definition', 'of', 'the', 'affine', 'type', 'c', 'stanley', 'symmetric', 'functions', 'a', 'homology', 'pieri', 'rule', 'is', 'also', 'given', 'for', 'the', 'product', 'of', 'a', 'special', 'schubert', 'class', 'with', 'an', 'arbitrary', 'one']] | [-0.19415981538424437, -0.013507672635486497, -0.10543299812442539, 0.07635681793908589, -0.12834245919789697, -0.15914829029299488, -0.030838590729135005, 0.2894788713363761, -0.3668002587669021, -0.1661791943267665, 0.08892398618296614, -0.1460608803450172, -0.18597574211889878, 0.15251209036531774, -0.1778072995789857, -0.029491450923325665, 0.017572942412781147, 0.0806952822075056, -0.16603841171300618, -0.2757464795458046, 0.42213752278423106, -0.017905697431574066, 0.19180361755107614, 0.013068979616615583, 0.08668476999313994, 0.026260935204018922, -0.08645153553648428, -0.012534987964582715, -0.1545457827160135, 0.1753680998570582, 0.34691498187285935, 0.08325235482003666, 0.14944740067320791, -0.3519576823084869, -0.031742053519172427, 0.17438890832603315, 0.13111351521960882, 0.04403363435994834, 0.008189756708981638, -0.274680964643432, 0.03735527721106668, -0.2314656781964004, -0.19715663721911947, -0.04343934248688377, 0.1264707029992926, 0.05794548235611397, -0.2693882592985491, -0.00855735716157307, 0.08606805355520919, 0.15267318979286673, -0.09782468967023306, -0.16382786305621266, -0.04912420869699086, 0.0608153333093717, -0.0664568341797514, 0.05155310913952152, 0.10467610380675813, -0.10456229890802536, -0.20117442678152161, 0.40344733865508303, 0.007483436980030753, -0.2681346114788374, 0.052558210658555087, -0.18521067607534034, -0.18595972077772868, 0.13550598226852759, 0.009659110145135359, 0.19564889290962706, -0.016642739932814784, 0.18598395629206524, -0.16252415186450395, -0.039356928755296394, 0.1141664944536222, 0.013878040036863902, 0.1552581331369848, 0.04699395739589818, 0.003743622774808583, 0.15139635125259784, 0.018414940536868842, -0.11540614336263388, -0.39450203479182994, -0.25151596526186704, -0.102357739191079, 0.15370679296426137, -0.17571271805106584, -0.2350940618304197, 0.4188140882390805, -0.028006630854427138, 0.11327040663772178, 0.15759222559757868, 0.17933748883131723, 0.09483774681575596, 0.0987650446384743, -0.027579415049827236, 0.12911361633186144, 0.2860928606876934, -0.011322223814204335, -0.15146390329093926, -0.01632017354925417, 0.28859063217797404] |
710.2721 | Large nonlinear absorption and refraction coefficients of carbon
nanotubes estimated from femtosecond Z-scan measurements | Nonlinear transmission of 80 and 140 femtosecond pulsed light with $0.79 \mu
m$ wavelength through single walled carbon nanotubes suspended in water
containing sodium dodecyl sulphate is studied. Pulse-width independent
saturation absorption and negative cubic nonlinearity are observed,
respectively, in open and closed aperture Z-scan experiments. The theoretical
expressions derived to analyze the z-dependent transmission in the saturable
limit require two photon absorption coefficient $\beta_0\sim$ $1.4 cm/MW$ and a
nonlinear index $\gamma \sim -5.5 \times10^{-11} cm^2/W$ to fit the data.
| cond-mat.mtrl-sci | nonlinear transmission of 80 and 140 femtosecond pulsed light with 079 mu m wavelength through single walled carbon nanotubes suspended in water containing sodium dodecyl sulphate is studied pulsewidth independent saturation absorption and negative cubic nonlinearity are observed respectively in open and closed aperture zscan experiments the theoretical expressions derived to analyze the zdependent transmission in the saturable limit require two photon absorption coefficient beta_0sim 14 cmmw and a nonlinear index gamma sim 55 times1011 cm2w to fit the data | [['nonlinear', 'transmission', 'of', '80', 'and', '140', 'femtosecond', 'pulsed', 'light', 'with', '079', 'mu', 'm', 'wavelength', 'through', 'single', 'walled', 'carbon', 'nanotubes', 'suspended', 'in', 'water', 'containing', 'sodium', 'dodecyl', 'sulphate', 'is', 'studied', 'pulsewidth', 'independent', 'saturation', 'absorption', 'and', 'negative', 'cubic', 'nonlinearity', 'are', 'observed', 'respectively', 'in', 'open', 'and', 'closed', 'aperture', 'zscan', 'experiments', 'the', 'theoretical', 'expressions', 'derived', 'to', 'analyze', 'the', 'zdependent', 'transmission', 'in', 'the', 'saturable', 'limit', 'require', 'two', 'photon', 'absorption', 'coefficient', 'beta_0sim', '14', 'cmmw', 'and', 'a', 'nonlinear', 'index', 'gamma', 'sim', '55', 'times1011', 'cm2w', 'to', 'fit', 'the', 'data']] | [-0.11147214068123737, 0.15339644507576639, 0.05019792545443544, -0.027029358505760916, -0.009422396467879223, -0.23493636884869865, 0.0681044638921053, 0.475365627461519, -0.19826415116683796, -0.33522836081922436, 0.0557173369347882, -0.3643639338537095, -0.028952591761481017, 0.21277747553092644, 0.02213280550084817, 0.07004003606450099, 0.0023807067728529754, -0.06992188330071095, 0.018975364262214266, -0.18444865200525293, 0.1641794127674821, 0.01911519865433757, 0.30798513936595273, 0.09142641048320235, 0.09745937693440236, 0.009326113244661918, -0.0031493179416522766, -0.053096080372014486, -0.19339066050918355, 0.05689026860711284, 0.2443534385992023, -0.04652179711886744, 0.14966711508205685, -0.356275987226325, -0.21240828394030148, 0.011037573910867557, 0.12789375990485916, 0.02419718059088784, -0.06627929238721919, -0.22168413375337154, 0.0701495977715613, -0.11431300247577617, -0.14848232417343518, 0.03891748559470169, 0.028488444110665184, 0.03583717739615494, -0.2826758851655401, 0.09879913156589445, -0.030125957048044372, 0.10030795131714489, -0.0729181504665086, -0.14872434300680956, -0.07752289783018522, -0.024889355895515435, -0.049893533145316325, -0.03136922251612235, 0.2086099532361214, -0.07062157606467223, -0.03136582729908136, 0.3802940853131123, -0.21101750360610774, -0.063944408383507, 0.1040883362143993, -0.18918770865704387, -0.0403042843995186, 0.2711540379991325, 0.1347477719760858, 0.10678758438473615, -0.167777798186319, 0.0206888215467095, -0.034635240791174464, 0.26573048914836433, 0.22645469524790174, 0.059738470563808314, 0.16680327953340915, 0.1622580895677973, -0.07419586408501253, 0.10168588670113912, -0.18451077099411917, 0.020271123207819004, -0.20075220939440605, -0.11783921566884367, -0.0965927806802285, 0.13611251073411834, -0.1313031848082737, -0.12479564730072013, 0.33090903223731005, 0.011192481164844373, 0.15718295009663472, 0.017103286077960942, 0.26160821487577873, 0.13398094500343388, 0.02463190812163819, -0.0060092717803155, 0.28033805586015564, 0.21251766913785383, 0.11745224952196273, -0.24656755432414895, -0.03078734032356013, -0.08717594583494923] |
710.2722 | The 2006 Radio Outburst of a Microquasar Cyg X-3: Observation and Data | We present the results of the multi-frequency observations of radio outburst
of the microquasar Cyg X-3 in February and March 2006 with the Nobeyama 45-m
telescope, the Nobeyama Millimeter Array, and the Yamaguchi 32-m telescope.
Since the prediction of a flare by RATAN-600, the source has been monitored
from Jan 27 (UT) with these radio telescopes. At the eighteenth day after the
quench of the activity, successive flares exceeding 1 Jy were observed
successfully. The time scale of the variability in the active phase is
presumably shorter in higher frequency bands.
We also present the result of a follow-up VLBI observation at 8.4 GHz with
the Japanese VLBI Network (JVN) 2.6 days after the first rise. The VLBI image
exhibits a single core with a size of <8 mas (80 AU). The observed image was
almost stable, although the core showed rapid variation in flux density. No jet
structure was seen at a sensitivity of $T_b = 7.5\times 10^5$ K.
| astro-ph | we present the results of the multifrequency observations of radio outburst of the microquasar cyg x3 in february and march 2006 with the nobeyama 45m telescope the nobeyama millimeter array and the yamaguchi 32m telescope since the prediction of a flare by ratan600 the source has been monitored from jan 27 ut with these radio telescopes at the eighteenth day after the quench of the activity successive flares exceeding 1 jy were observed successfully the time scale of the variability in the active phase is presumably shorter in higher frequency bands we also present the result of a followup vlbi observation at 84 ghz with the japanese vlbi network jvn 26 days after the first rise the vlbi image exhibits a single core with a size of 8 mas 80 au the observed image was almost stable although the core showed rapid variation in flux density no jet structure was seen at a sensitivity of t_b 75times 105 k | [['we', 'present', 'the', 'results', 'of', 'the', 'multifrequency', 'observations', 'of', 'radio', 'outburst', 'of', 'the', 'microquasar', 'cyg', 'x3', 'in', 'february', 'and', 'march', '2006', 'with', 'the', 'nobeyama', '45m', 'telescope', 'the', 'nobeyama', 'millimeter', 'array', 'and', 'the', 'yamaguchi', '32m', 'telescope', 'since', 'the', 'prediction', 'of', 'a', 'flare', 'by', 'ratan600', 'the', 'source', 'has', 'been', 'monitored', 'from', 'jan', '27', 'ut', 'with', 'these', 'radio', 'telescopes', 'at', 'the', 'eighteenth', 'day', 'after', 'the', 'quench', 'of', 'the', 'activity', 'successive', 'flares', 'exceeding', '1', 'jy', 'were', 'observed', 'successfully', 'the', 'time', 'scale', 'of', 'the', 'variability', 'in', 'the', 'active', 'phase', 'is', 'presumably', 'shorter', 'in', 'higher', 'frequency', 'bands', 'we', 'also', 'present', 'the', 'result', 'of', 'a', 'followup', 'vlbi', 'observation', 'at', '84', 'ghz', 'with', 'the', 'japanese', 'vlbi', 'network', 'jvn', '26', 'days', 'after', 'the', 'first', 'rise', 'the', 'vlbi', 'image', 'exhibits', 'a', 'single', 'core', 'with', 'a', 'size', 'of', '8', 'mas', '80', 'au', 'the', 'observed', 'image', 'was', 'almost', 'stable', 'although', 'the', 'core', 'showed', 'rapid', 'variation', 'in', 'flux', 'density', 'no', 'jet', 'structure', 'was', 'seen', 'at', 'a', 'sensitivity', 'of', 't_b', '75times', '105', 'k']] | [-0.12068193248303244, 0.13708931401609178, -0.040494007510923836, 0.015737186037384724, -0.05649019779532023, -0.09623736146480173, 0.056096765221500734, 0.44359431127320575, -0.13622703344441084, -0.3960407395158351, 0.17473989784418834, -0.2904305996800884, -0.06518587630546693, 0.18496667757431198, -0.012097106203905441, -0.014591428886150132, 0.12748493707252653, -0.07655207663642699, -0.07027144291520165, -0.21392303047432276, 0.1639721296652976, 0.17370590239722258, 0.22226564089457193, -0.024801865394326782, 0.12372795885879805, -0.10359880056981959, -0.09796636995900446, -0.0681992262058581, -0.053112898697364935, 0.008315925899330737, 0.26225787098226633, 0.10621126187429324, 0.2105222252100917, -0.3761477158500069, -0.19648766329031694, 0.010264889581667833, 0.05928675209921814, -0.03412309641885401, 0.07553391370032006, -0.3381400681115429, 0.056774033863191145, -0.19736366257446367, -0.16280853497772332, 0.15189014406766416, 0.11406351634705404, 0.019926117314318627, -0.18034634845874584, 0.10017206997053446, -0.021202173535038466, 0.14098308835641346, -0.13713068505690532, -0.09079760162792397, -0.023286827665654087, 0.10565908920640747, 0.010149210613841811, 0.14807838103009108, 0.08105686238422147, -0.04928980334281172, -0.1183614329139866, 0.31360561381615465, -0.07701827626405928, 0.11557858092886097, 0.16661267083302234, -0.26271468103400564, -0.2506678476812517, 0.23997062631537142, 0.14341584578121327, 0.09576766211583437, -0.12122623396286178, 0.018317180693752877, -0.03868281790099265, 0.2721490048270368, 0.11981918189803478, 0.022005083053314226, 0.2468847857536338, 0.16897576128911673, 0.0323123476942474, 0.15177683876798073, -0.35270041071241665, -0.0014934291881538411, -0.22887811446474549, -0.057074485185963204, -0.1551230451752543, 0.13640259388752235, -0.09490192859779908, -0.0383177508143181, 0.4355175985790695, 0.04899414043885263, 0.2065830320570052, 0.02868647990402701, 0.2480684593993491, 0.055353001851014466, 0.09690303288681328, 0.146360173121493, 0.3513673518626195, 0.1259614396532822, 0.24353564304516376, -0.1827167340421774, 0.015926372357966297, 0.0146630284268081] |
710.2723 | Boundary conditions for Dirac fermions on a terminated honeycomb lattice | We derive the boundary condition for the Dirac equation corresponding to a
tight-binding model on a two-dimensional honeycomb lattice terminated along an
arbitary direction. Zigzag boundary conditions result generically once the
boundary is not parallel to the bonds. Since a honeycomb strip with zigzag
edges is gapless, this implies that confinement by lattice termination does not
in general produce an insulating nanoribbon. We consider the opening of a gap
in a graphene nanoribbon by a staggered potential at the edge and derive the
corresponding boundary condition for the Dirac equation. We analyze the edge
states in a nanoribbon for arbitrary boundary conditions and identify a class
of propagating edge states that complement the known localized edge states at a
zigzag boundary.
| cond-mat.mes-hall | we derive the boundary condition for the dirac equation corresponding to a tightbinding model on a twodimensional honeycomb lattice terminated along an arbitary direction zigzag boundary conditions result generically once the boundary is not parallel to the bonds since a honeycomb strip with zigzag edges is gapless this implies that confinement by lattice termination does not in general produce an insulating nanoribbon we consider the opening of a gap in a graphene nanoribbon by a staggered potential at the edge and derive the corresponding boundary condition for the dirac equation we analyze the edge states in a nanoribbon for arbitrary boundary conditions and identify a class of propagating edge states that complement the known localized edge states at a zigzag boundary | [['we', 'derive', 'the', 'boundary', 'condition', 'for', 'the', 'dirac', 'equation', 'corresponding', 'to', 'a', 'tightbinding', 'model', 'on', 'a', 'twodimensional', 'honeycomb', 'lattice', 'terminated', 'along', 'an', 'arbitary', 'direction', 'zigzag', 'boundary', 'conditions', 'result', 'generically', 'once', 'the', 'boundary', 'is', 'not', 'parallel', 'to', 'the', 'bonds', 'since', 'a', 'honeycomb', 'strip', 'with', 'zigzag', 'edges', 'is', 'gapless', 'this', 'implies', 'that', 'confinement', 'by', 'lattice', 'termination', 'does', 'not', 'in', 'general', 'produce', 'an', 'insulating', 'nanoribbon', 'we', 'consider', 'the', 'opening', 'of', 'a', 'gap', 'in', 'a', 'graphene', 'nanoribbon', 'by', 'a', 'staggered', 'potential', 'at', 'the', 'edge', 'and', 'derive', 'the', 'corresponding', 'boundary', 'condition', 'for', 'the', 'dirac', 'equation', 'we', 'analyze', 'the', 'edge', 'states', 'in', 'a', 'nanoribbon', 'for', 'arbitrary', 'boundary', 'conditions', 'and', 'identify', 'a', 'class', 'of', 'propagating', 'edge', 'states', 'that', 'complement', 'the', 'known', 'localized', 'edge', 'states', 'at', 'a', 'zigzag', 'boundary']] | [-0.2375254942458277, 0.18088511391547663, -0.05166453994379556, -0.005118301826190542, -0.06988466436414756, -0.21953477917916395, 0.07695042130283335, 0.4150955748151649, -0.27286189420472, -0.2060067256650895, 0.07444428870635307, -0.26666840694244365, -0.12798652739825944, 0.07022233957170763, 0.008831536043281397, 0.05577412036763243, 0.11493435234970543, -0.008457478759271548, -0.0894858810496478, -0.17792864860620441, 0.3013847118689994, -0.030557759662258845, 0.30395289122565716, 0.1403220044372003, -0.017067754233240588, 0.026948761918451174, 0.14291923034605225, 0.032915590631136714, -0.2101406547158412, 0.0603195232563375, 0.18142890275940915, -0.1505479702749097, 0.2077750551152574, -0.5086286839805851, -0.1985157600196063, -0.024961141033352098, 0.15018543043781904, 0.16502884329281736, -0.018433991963936646, -0.2850067847031207, 0.10397190986439771, -0.09470974518494173, -0.210296870753831, 0.046182758467318105, -0.007412763445230185, -0.08190496639186932, -0.2778050486529477, 0.0524054134287679, 0.06448257775892588, 0.03287595357699705, -0.08670705994437179, -0.08612713964621359, -0.1636492619290948, 0.04054261692934323, -0.02923493268072205, 0.04029113089488742, 0.08299467855417901, -0.15479967026386318, -0.1355838111278501, 0.3772144448935739, -0.05186918659870751, -0.2200484456752296, 0.17132149059479393, -0.12517748574518467, -0.07880906691805513, 0.12283884887083256, 0.09129639989350083, 0.08310581552064862, -0.14185076808193237, 0.126794212281296, -0.10096748472068243, 0.08146249184246399, 0.09520996980030429, 0.020373175111656993, 0.2569902388548309, 0.10862734759888373, 0.21780937830802083, 0.20089439861861266, -0.08818265784258593, -0.047525206957905256, -0.3218912847786526, -0.2086785108424446, -0.24928188113080077, 0.04510222414286214, -0.06512437600325909, -0.3061069848308386, 0.4708154278168501, 0.11846649129528644, 0.21267527449598983, -0.002524927220007112, 0.18797010060039943, 0.16110631299815104, 0.04578595415281116, 0.1231198314200194, 0.1842287666710817, 0.15131940610691413, 0.043486628042580175, -0.23011868041054892, 0.006769000467928973, 0.08528492637055594] |
710.2724 | General Solution of the Quantum Damped Harmonic Oscillator | In this paper the general solution of the quantum damped harmonic oscillator
is given.
| quant-ph math-ph math.MP | in this paper the general solution of the quantum damped harmonic oscillator is given | [['in', 'this', 'paper', 'the', 'general', 'solution', 'of', 'the', 'quantum', 'damped', 'harmonic', 'oscillator', 'is', 'given']] | [-0.14546734453844173, 0.14223784620740584, 0.012593648263386317, -0.0471389251095908, -0.03656026601259198, -0.18457395769655704, -0.04508584645476991, 0.2697767343904291, -0.24581131871257508, -0.13232560203011548, 0.03479994583176449, -0.2958540243229696, -0.2514869709100042, 0.2211998738348484, -0.09326386079192162, 0.12467920354434422, 0.07371354302657503, 0.093789616599679, 0.01555942916976554, -0.22424944290625198, 0.3532908715839897, 0.08864318741585261, 0.19816894197304333, -0.026373734963791712, 0.12398487123261605, -0.05987367379878249, 0.05848032808197396, -0.030909758593354906, -0.15311947551422886, 0.17075405901830112, 0.25614561459847857, 0.0589295443413513, 0.33364545766796383, -0.3674329121464065, -0.14280011345233237, 0.11922485634152379, 0.17623199569061399, 0.26116184930184055, -0.04733147405620132, -0.2701323277183941, -0.025361320802143643, -0.13868596364877053, -0.1876132713098611, -0.018230865842529705, 0.0169936709904245, 0.06448059289583138, -0.21626717650464602, 0.1256127845096801, 0.1591443032292383, 0.0685043264446514, -0.07856756448745728, 0.05574420328152233, 0.09277042480451721, 0.052713775142495124, -0.03574589807872793, 0.04864804094125118, 0.06733912455716304, -0.08171511878858187, -0.05658794327505997, 0.465454774243491, -0.1195114619497742, -0.2808432344879423, 0.09862799164173859, -0.17388995064954674, -0.1558096187987498, 0.053893144242465496, 0.16753744543530047, 0.16822588656629836, -0.18024989829531737, 0.16601270590243594, -0.03697661004428353, 0.1599082603518452, 0.08174912904256157, -0.003146976843709126, 0.15609382838010788, 0.13610472177554453, 0.11158247654592353, 0.2253400550356933, 0.02655771667403834, -0.14882524950163706, -0.3637808236692633, -0.1960267988698823, -0.26441557918276104, 0.10848296121028918, -0.03078374462867422, -0.2226184606552124, 0.5233061611652374, 0.11059380109821047, 0.09658226470596024, 0.05480520520359278, 0.3037242020613381, 0.3800424105886902, -0.10721651491309915, 0.003318414590986712, 0.31287187497530666, 0.17578859080094844, 0.13876122535605515, -0.2596638245574598, -0.09053389538478639, 0.08279628512848701] |
710.2725 | A moduli scheme of embedded curve singularities | The main purpose of this paper is to prove the existence of the moduli space
parameterizing the embedded curve singularities of $(k^N,0)$ with an admissible
Hilbert polynomial and to study its basic properties.
| math.AG math.AC | the main purpose of this paper is to prove the existence of the moduli space parameterizing the embedded curve singularities of kn0 with an admissible hilbert polynomial and to study its basic properties | [['the', 'main', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'prove', 'the', 'existence', 'of', 'the', 'moduli', 'space', 'parameterizing', 'the', 'embedded', 'curve', 'singularities', 'of', 'kn0', 'with', 'an', 'admissible', 'hilbert', 'polynomial', 'and', 'to', 'study', 'its', 'basic', 'properties']] | [-0.17997889395337552, 0.031338292032614845, -0.1412881498108618, 0.033857544214697555, -0.09653909527696669, -0.025943168831872754, -0.055583636476512766, 0.2819065325311385, -0.37200187146663666, -0.18147544730163645, 0.12490707274992019, -0.1913795324799139, -0.1705365613452159, 0.1840739722683793, -0.14207046566298231, 0.034037764415188576, 0.030167389515554532, 0.029247821265016682, -0.10809686846914701, -0.33339128782972693, 0.4866835206048563, 0.009177764877676964, 0.20560769510484533, 0.054603511933237314, 0.12312299219775014, 0.02883997136814287, -0.018569421343272552, -0.0596957662355635, -0.19623763460549526, 0.21422498291940428, 0.27250115538481623, 0.11119211624463787, 0.21990069171442883, -0.3678539951215498, -0.16819483795552514, 0.2610789802711224, 0.12379934344789945, 0.007282108245817653, 0.03455173962720437, -0.22712486877571791, 0.14863875095034018, -0.06858157133683562, -0.2793274114956148, -0.06440625511459075, 0.04489517450565472, 0.04151850102789467, -0.1606585769332014, -0.0589640959224198, 0.09565745497820899, 0.09119655325775966, -0.10160949945930042, -0.043754078447818756, -0.045125957985874265, 0.07269525385345332, 0.03748422182252398, 0.050330158082942944, 0.033410638163331896, -0.12659265344700543, -0.058662980067310855, 0.3861409218516201, -0.04632879461678385, -0.17267908644862473, 0.1571579807496164, -0.13828175968228607, -0.10472962649510009, 0.08818779794091824, 0.1546313017315697, 0.1660419906838797, -0.10338721118750982, 0.17322415657508827, -0.06354097527218983, 0.1191892321803607, 0.031718927406473085, 0.05664668744429946, 0.11726979695959017, 0.1622843375080265, 0.057626111491117626, 0.20022335380781442, -0.042250791011611, -0.10461936009232886, -0.43819077918305993, -0.2510959672217723, -0.13128697406500578, 0.07809467081096955, -0.11134586342041075, -0.22272203501779586, 0.46316711661347654, 0.08099408095586114, 0.2507491451688111, 0.09512191379326396, 0.272502442530822, 0.09299512761936057, -0.03731696664181072, 0.050031043094350025, 0.19301181024638936, 0.17117190387216397, -0.009436593332793564, -0.22085262680775486, 0.019079193618381396, 0.15707593818660825] |
710.2726 | Log Structures on Generalized Semi-Stable Varieties | This is my PhD Thesis, part of it has published in Acta Mathematica Sinica.
In this paper, a class of morphisms which have a kind of singularity weaker
than normal crossing is considered. We construct the obstruction such that the
so-called semi-stable log structures exists if and only if the obstruction
vanishes. In the case of no power, if the obstruction vanishes, then the
semi-stable log structure is unique up to a unique isomorphism. So we obtain a
kind of canonical structures on this family of morphisms.
| math.AG | this is my phd thesis part of it has published in acta mathematica sinica in this paper a class of morphisms which have a kind of singularity weaker than normal crossing is considered we construct the obstruction such that the socalled semistable log structures exists if and only if the obstruction vanishes in the case of no power if the obstruction vanishes then the semistable log structure is unique up to a unique isomorphism so we obtain a kind of canonical structures on this family of morphisms | [['this', 'is', 'my', 'phd', 'thesis', 'part', 'of', 'it', 'has', 'published', 'in', 'acta', 'mathematica', 'sinica', 'in', 'this', 'paper', 'a', 'class', 'of', 'morphisms', 'which', 'have', 'a', 'kind', 'of', 'singularity', 'weaker', 'than', 'normal', 'crossing', 'is', 'considered', 'we', 'construct', 'the', 'obstruction', 'such', 'that', 'the', 'socalled', 'semistable', 'log', 'structures', 'exists', 'if', 'and', 'only', 'if', 'the', 'obstruction', 'vanishes', 'in', 'the', 'case', 'of', 'no', 'power', 'if', 'the', 'obstruction', 'vanishes', 'then', 'the', 'semistable', 'log', 'structure', 'is', 'unique', 'up', 'to', 'a', 'unique', 'isomorphism', 'so', 'we', 'obtain', 'a', 'kind', 'of', 'canonical', 'structures', 'on', 'this', 'family', 'of', 'morphisms']] | [-0.16560162333022246, 0.039235193111088085, -0.126233602799047, 0.07895323886782274, -0.1282774338006288, -0.13283910131317445, -0.006774076741006782, 0.31349437555362436, -0.30135494737147256, -0.23998413377323713, 0.07457784214057028, -0.2618604523996855, -0.1896258378080253, 0.14266088129631405, -0.12784585502833642, -0.04631787013455198, 0.04830830991696352, 0.08898184451156821, -0.07510608404971145, -0.28162023407706843, 0.40892562635735363, 0.0046114005367860365, 0.23417287748092894, 0.04489930787113035, 0.12889274889496208, -0.03263486143008902, 0.025612538279002083, -0.010766409548941529, -0.171076087305612, 0.08208922380126542, 0.2962024864184017, 0.08840581606645351, 0.2804183567440587, -0.31521489300989897, -0.1167710348856689, 0.2064862383593773, 0.1078757113702167, 0.05538040252225795, -0.026566062091806925, -0.20275709315353, 0.15827212207024013, -0.17203282370050063, -0.1550792071529418, -0.04530738968530606, 0.08397014818057932, -0.027897404753014273, -0.18620451034284893, 0.0055984290445159225, 0.15990241235871425, 0.11204689550588186, -0.005046016290441327, -0.07345920029342518, -0.06399902649994554, 0.04588430154340706, 0.024160735311800206, 0.06712840385092743, 0.03250797583832641, -0.11594581739152728, -0.055004919177970325, 0.37209347930091874, -0.0814663654672659, -0.17384991397139157, 0.13627786767112368, -0.1128016257412389, -0.21707465623815855, 0.14412377108873306, 0.06676928736483571, 0.1860077130212181, -0.06301792342839334, 0.1995449709089141, -0.11714116778310346, 0.1506960301007005, 0.1381702053135839, -0.028072248492657537, 0.13251792579546742, 0.1073825025834657, 0.08534729295817, 0.135746574248776, -0.027951106244441252, -0.03837802040594063, -0.378359944388356, -0.2438208563360332, -0.12738647698371233, 0.15508925164353915, 0.01291761499439532, -0.20143928369186048, 0.3974089706851833, 0.09982322679093943, 0.17158459637570997, 0.07850942809546858, 0.2478785657139238, 0.0942216978793771, 0.06303097890026269, 0.09895767507560808, 0.23103395911554495, 0.12925690450523605, 0.0435198916968001, -0.0844006448282978, 0.03304191944242894, 0.12097432365876505] |
710.2727 | Effect of contact induced states on minimum conductivity in graphene | The objective of this paper is to point out that contact induced states can
help explain the structure dependence of the minimum conductivity observed
experimentally even if the samples were purely ballistic. Contact induced
states are similar to the well-known metal induced gap states (MIGS) in
metal-semiconductor Schottky junctions, which typically penetrate only a few
atomic lengths into the semiconductor, while the depth of penetration decreases
with increasing band gap. However, in graphene we find that these states
penetrate a much longer distance of the order of the width of the contacts. As
a result, ballistic graphene samples with a length less than their width can
exhibit a resistance proportional to length that is not Ohmic in origin, but
arises from a reduced role of contact-induced states. While actual samples are
probably not ballistic and involve scattering processes, our results show that
these contact induced effects need to be taken into account in interpreting
experiments and minimum conductivity depends strongly on the structure and
configuration (two- vs. four-terminal) used.
| cond-mat.mes-hall | the objective of this paper is to point out that contact induced states can help explain the structure dependence of the minimum conductivity observed experimentally even if the samples were purely ballistic contact induced states are similar to the wellknown metal induced gap states migs in metalsemiconductor schottky junctions which typically penetrate only a few atomic lengths into the semiconductor while the depth of penetration decreases with increasing band gap however in graphene we find that these states penetrate a much longer distance of the order of the width of the contacts as a result ballistic graphene samples with a length less than their width can exhibit a resistance proportional to length that is not ohmic in origin but arises from a reduced role of contactinduced states while actual samples are probably not ballistic and involve scattering processes our results show that these contact induced effects need to be taken into account in interpreting experiments and minimum conductivity depends strongly on the structure and configuration two vs fourterminal used | [['the', 'objective', 'of', 'this', 'paper', 'is', 'to', 'point', 'out', 'that', 'contact', 'induced', 'states', 'can', 'help', 'explain', 'the', 'structure', 'dependence', 'of', 'the', 'minimum', 'conductivity', 'observed', 'experimentally', 'even', 'if', 'the', 'samples', 'were', 'purely', 'ballistic', 'contact', 'induced', 'states', 'are', 'similar', 'to', 'the', 'wellknown', 'metal', 'induced', 'gap', 'states', 'migs', 'in', 'metalsemiconductor', 'schottky', 'junctions', 'which', 'typically', 'penetrate', 'only', 'a', 'few', 'atomic', 'lengths', 'into', 'the', 'semiconductor', 'while', 'the', 'depth', 'of', 'penetration', 'decreases', 'with', 'increasing', 'band', 'gap', 'however', 'in', 'graphene', 'we', 'find', 'that', 'these', 'states', 'penetrate', 'a', 'much', 'longer', 'distance', 'of', 'the', 'order', 'of', 'the', 'width', 'of', 'the', 'contacts', 'as', 'a', 'result', 'ballistic', 'graphene', 'samples', 'with', 'a', 'length', 'less', 'than', 'their', 'width', 'can', 'exhibit', 'a', 'resistance', 'proportional', 'to', 'length', 'that', 'is', 'not', 'ohmic', 'in', 'origin', 'but', 'arises', 'from', 'a', 'reduced', 'role', 'of', 'contactinduced', 'states', 'while', 'actual', 'samples', 'are', 'probably', 'not', 'ballistic', 'and', 'involve', 'scattering', 'processes', 'our', 'results', 'show', 'that', 'these', 'contact', 'induced', 'effects', 'need', 'to', 'be', 'taken', 'into', 'account', 'in', 'interpreting', 'experiments', 'and', 'minimum', 'conductivity', 'depends', 'strongly', 'on', 'the', 'structure', 'and', 'configuration', 'two', 'vs', 'fourterminal', 'used']] | [-0.14444940780653182, 0.19980320141970362, -0.06085274665004756, 0.051867217225705954, -0.04177750958151807, -0.15321265125217345, 0.07642292891168889, 0.4026541652890837, -0.2884506532321712, -0.3149513815083271, 0.013213775112409388, -0.3312655690638624, -0.13457148524515122, 0.20200870194907725, 0.007359802711909339, -2.2083835003996744e-06, 0.05786543489384228, -0.026501210530415265, -0.06775384217902974, -0.19009777999513358, 0.2902466541723784, 0.03402824134609976, 0.2955507318097988, 0.13440064128664647, 0.013841360704005509, -0.010967446868610982, 0.06897989623579225, 0.09937658785296792, -0.12707725661264638, 0.049529235869024045, 0.23842986252919368, -0.057267522530288564, 0.21500067674339965, -0.48373017400591334, -0.22707288733755165, 0.07503692099284491, 0.14655515951098952, 0.1152487343704857, -0.010905506412399459, -0.24861061270486498, 0.08798399180471456, -0.09565705648270717, -0.09395793130960227, 0.006421788537753581, 0.020894525522371678, -0.022036606846818116, -0.21402119512093865, 0.08346508569139216, 0.08983247732735354, 0.028294793308089823, -0.039490486547721484, -0.1330362852888744, -0.07791711033884018, 0.1355778821303162, 0.03044402278607061, 0.013429214749430146, 0.19190408776723641, -0.1365800186228448, -0.07126027722112813, 0.3439656452402561, -0.04762510343610802, -0.14480494070500577, 0.18070962800597495, -0.17775224374893767, -0.009271890531189342, 0.184102937143803, 0.12689303449415684, 0.08573486968412025, -0.1214596720931765, 0.03530880800942951, -0.00910328746326929, 0.18331108076209285, 0.07846465896396242, 0.08431346636932321, 0.22338696378806727, 0.16775204337714517, 0.05831441080704684, 0.1267873233979149, -0.11313667304582409, -0.062115329076651724, -0.2497651935989015, -0.15619254041154532, -0.19542382281692422, 0.10416313327491399, -0.03453128979675342, -0.19302663700820427, 0.37906620903601923, 0.15300522369922265, 0.26205504349482484, 0.015364868494064807, 0.26916811539455365, 0.13286900641286425, 0.14764619802025605, 0.058155101506292994, 0.25027856373189555, 0.12829497361282913, 0.038051212391094165, -0.25067634326226723, 0.14534561041489066, -0.03663012697967596] |
710.2728 | Primes in Tuples II | We prove that there are infinitely often pairs of primes much closer than the
average spacing between primes - almost within the square root of the average
spacing. We actually prove a more general result concerning the set of values
taken on by the differences between primes.
| math.NT | we prove that there are infinitely often pairs of primes much closer than the average spacing between primes almost within the square root of the average spacing we actually prove a more general result concerning the set of values taken on by the differences between primes | [['we', 'prove', 'that', 'there', 'are', 'infinitely', 'often', 'pairs', 'of', 'primes', 'much', 'closer', 'than', 'the', 'average', 'spacing', 'between', 'primes', 'almost', 'within', 'the', 'square', 'root', 'of', 'the', 'average', 'spacing', 'we', 'actually', 'prove', 'a', 'more', 'general', 'result', 'concerning', 'the', 'set', 'of', 'values', 'taken', 'on', 'by', 'the', 'differences', 'between', 'primes']] | [-0.18087968633904972, 0.12929494237608236, -0.10782409499844779, 0.1496541197411716, 0.05536550222693578, -0.07752425465530352, 0.08113462425282468, 0.3533528008214805, -0.23541475913446883, -0.3016178488083508, 0.020788862299093085, -0.32808517522947944, -0.08291046272295163, 0.23659136429752992, -0.06391813080130226, -0.021789620116380873, 0.1090441141480013, 0.13278015287916944, -0.08029955187711217, -0.3150472768136989, 0.3154094313858482, -0.021784831547056852, 0.23307993025114032, 0.04661600561508828, 0.04943505332187709, 0.00903498827803718, 0.029477316562248314, -0.007987420398579992, -0.15307925045873044, 0.1264232972069927, 0.23468594227755524, 0.02407376164489466, 0.3410720220240562, -0.4092385273163571, -0.07946584523533998, 0.21167312354942702, 0.14554257669648074, 0.007416617084780465, 0.02891606702969116, -0.215096449803399, 0.14469171894471283, -0.10948374934504619, -0.1435212282990308, 0.01381752720993498, 0.08948778557469664, 0.06666220943241016, -0.26628298354942515, 0.11093117142825024, 0.08354163230599268, 0.1528192863738893, -0.012815156010101024, -0.23513351954550119, -0.0022337361917142634, 0.10711617487401742, 0.12356012500822544, -0.02450000046266486, 0.015750572773749413, -0.04846651076703616, -0.05640684222073659, 0.3761600194417912, 0.021486514777833414, -0.19407449743669966, 0.1363633024789717, -0.21722430351149777, -0.07221081228319394, 0.12126971813647644, 0.08274984487291911, 0.050467446891833904, -0.03024872562483601, 0.019017105274226353, -0.158524167197554, 0.23810799504913713, 0.1933531282702461, 0.04142734307780578, 0.18122204761628224, 0.07520686046463317, 0.1237636443996883, 0.1197814181568506, -0.03885714624218805, -0.10741569220250391, -0.3285159398801625, -0.09472632388908254, -0.20063567924839648, 0.11598498511897481, -0.13847587630152702, -0.16564539074897766, 0.36157907691338786, 0.16131950658746064, 0.22005941915204344, 0.16128517804748338, 0.22408117904611255, 0.08613136723800816, 0.11637148277267166, 0.11544514819979668, 0.17406875668498484, 0.11175536293961594, -0.03984839684815834, -0.1167661122593057, 0.030468025862279792, 0.10350500808461853] |
710.2729 | Light localization signatures in backscattering from periodic disordered
media | The backscattering line shape is analytically predicted for thick disordered
medium films where, remarkably, the medium configuration is periodic along the
direction perpendicular to the incident light. A blunt triangular peak is found
to emerge on the sharp top. The phenomenon roots in the coexistence of quasi-1D
localization and 2D extended states.
| cond-mat.dis-nn cond-mat.mes-hall | the backscattering line shape is analytically predicted for thick disordered medium films where remarkably the medium configuration is periodic along the direction perpendicular to the incident light a blunt triangular peak is found to emerge on the sharp top the phenomenon roots in the coexistence of quasi1d localization and 2d extended states | [['the', 'backscattering', 'line', 'shape', 'is', 'analytically', 'predicted', 'for', 'thick', 'disordered', 'medium', 'films', 'where', 'remarkably', 'the', 'medium', 'configuration', 'is', 'periodic', 'along', 'the', 'direction', 'perpendicular', 'to', 'the', 'incident', 'light', 'a', 'blunt', 'triangular', 'peak', 'is', 'found', 'to', 'emerge', 'on', 'the', 'sharp', 'top', 'the', 'phenomenon', 'roots', 'in', 'the', 'coexistence', 'of', 'quasi1d', 'localization', 'and', '2d', 'extended', 'states']] | [-0.18417939980281517, 0.1875944298394293, -0.04611807000429298, 0.03647668265442077, -0.045830512553668365, -0.16937113609702253, 0.003991612009345912, 0.4379106733518151, -0.2775729532765511, -0.2153042410321247, 0.025655881221889734, -0.31780776184258197, -0.10385182037806281, 0.15973611253922662, 0.046850381687713355, 0.02064685790369717, -0.027035626222361595, -0.028900732196724184, -0.027511582280007694, -0.15529390794556372, 0.27930710713665646, 0.0006087213836368532, 0.36582192248449874, 0.10381956669824341, -0.0159945688658179, 0.02922660544908677, 0.10816087265713857, 0.02110436222014519, -0.11886426385563727, 0.034214890413120605, 0.19689338503835294, -0.13801158245545453, 0.10938742511475888, -0.4392357694988067, -0.21686420854978047, 0.0151076467277912, 0.2178943223105027, 0.13014027376014453, -0.04788513842728347, -0.30874284886074466, 0.045449944101094916, -0.06220785704387639, -0.2624319881344071, 0.06499954805566141, 0.028606504743668035, 0.0035945313149848236, -0.22630529383269066, 0.08015993552712294, 0.04144723043562128, 0.05200494242867885, -0.06757093684819455, -0.05865315150451632, -0.10519118816591799, 0.05162223741018142, 0.029518930633457785, 0.037256805559781454, 0.17804460900907332, -0.11782170989765571, -0.0536039646629853, 0.39245274645061445, -0.025895739822702196, -0.12902424205178528, 0.17878338570993108, -0.19290974802928618, -0.009905831485341948, 0.2505448605292119, 0.1604958382488873, 0.07706477409765984, -0.06652876828761342, 0.03232181248089406, -0.10849553493496317, 0.16133154799731877, 0.11311343906877133, 0.0033889699440736035, 0.23340915372738472, 0.15801254724367306, 0.08071084924113865, 0.16120857119228907, -0.1587440482331798, -0.09651185154843216, -0.2177345730507603, -0.10796964145041645, -0.19988711061887443, 0.030988475621248093, -0.08919475127270114, -0.2365603012820849, 0.4306862096552952, 0.09867194309257545, 0.21021310116450947, -0.05302380340603682, 0.26186419565839547, 0.11044504602726263, 0.019316779610772546, 0.04749034262574871, 0.29957377748080316, 0.19575467913035446, 0.14775942098528433, -0.20588004760121784, 0.0884345450769895, 0.034501948340151176] |
710.273 | Lattice simulation of 2+1 flavors of overlap light quarks | We report on the status of the dynamical overlap QCD simulation project by
the JLQCD collaboration. After completing two-flavor QCD simulation on a
16^3x32 lattice at lattice spacing a 0.12 fm, we started a series of runs with
2+1 flavors. In this report, we describe an outline of our algorithms,
parameter choices, and some early physics results of this second phase of our
project.
| hep-lat | we report on the status of the dynamical overlap qcd simulation project by the jlqcd collaboration after completing twoflavor qcd simulation on a 163x32 lattice at lattice spacing a 012 fm we started a series of runs with 21 flavors in this report we describe an outline of our algorithms parameter choices and some early physics results of this second phase of our project | [['we', 'report', 'on', 'the', 'status', 'of', 'the', 'dynamical', 'overlap', 'qcd', 'simulation', 'project', 'by', 'the', 'jlqcd', 'collaboration', 'after', 'completing', 'twoflavor', 'qcd', 'simulation', 'on', 'a', '163x32', 'lattice', 'at', 'lattice', 'spacing', 'a', '012', 'fm', 'we', 'started', 'a', 'series', 'of', 'runs', 'with', '21', 'flavors', 'in', 'this', 'report', 'we', 'describe', 'an', 'outline', 'of', 'our', 'algorithms', 'parameter', 'choices', 'and', 'some', 'early', 'physics', 'results', 'of', 'this', 'second', 'phase', 'of', 'our', 'project']] | [-0.1343486230180133, 0.20468861657923298, -0.1232165103629086, -0.022191861376995803, -0.014099358675593976, -0.0004010546563222306, 0.1258543082349206, 0.3840382145863259, -0.11648049735231325, -0.27647463759421953, 0.14263463755014527, -0.2824153327383101, -0.10477048396387545, 0.11166421236703172, 0.03161462965363171, 0.06684371664596256, 0.12041406385833398, -0.024426721705822274, -0.14202903951809276, -0.29964949339046143, 0.3072332673618803, 0.06812223077213275, 0.22312961932038888, 0.08922631395398639, 0.04707960397354327, 0.010242398966511246, -0.1169369906274369, -0.06022593702073209, -0.1983072765142424, 0.027496109600178897, 0.17977682386117522, 0.05627730216656346, 0.22188119392376393, -0.37853200029348955, -0.1519221509079216, 0.044831218765466474, 0.10220492237203871, 0.13445274950936437, -0.07218037799248123, -0.2929165767127415, 0.06116831083636498, -0.1993649425712647, -0.16184539491223404, -0.05481131231499603, -0.049798873835243285, -0.028588033019332215, -0.2822290664353204, 0.01935074623906985, -0.05130615401367322, 0.12442549499246525, 0.015300900187867228, -0.2075673403160181, 0.05809984274674207, 0.11113508959533647, 0.001851181426900439, 0.10899767756200163, 0.06548300039139576, -0.12403961202289793, -0.20015852547294344, 0.42890829339739867, -0.036928716266629635, -0.07004112118738703, 0.13698626364657684, -0.18172271346702473, -0.21740608086111024, 0.05839082742750179, 0.1991449843189912, 0.07110860149623477, -0.1184012688609073, 0.08332181521018356, -0.04033416880702134, 0.2219326551858103, 0.0031455054086109158, -0.04394952647271566, 0.23908810519787949, 0.2868866991248069, -0.024556497373851016, 0.12386273386437097, -0.025958920323319035, -0.11524365408695303, -0.36325193029188085, -0.0787204469779681, -0.1658048916651751, 0.050664874201174825, -0.08400813132152507, -0.1096092415059502, 0.4390286267735064, 0.1945951281231828, 0.18682262474612799, 0.025965689656004542, 0.24758866328920703, -0.00792883940084721, -0.0036295429163146764, 0.030846567469779984, 0.2187185266070628, 0.08235717164643575, 0.1702097186462197, -0.3004562674000226, -0.10148730841319775, 0.10924138039990794] |
710.2731 | Group Analysis of Variable Coefficient Diffusion-Convection Equations.
I. Enhanced Group Classification | We discuss the classical statement of group classification problem and some
its extensions in the general case. After that, we carry out the complete
extended group classification for a class of (1+1)-dimensional nonlinear
diffusion--convection equations with coefficients depending on the space
variable. At first, we construct the usual equivalence group and the extended
one including transformations which are nonlocal with respect to arbitrary
elements. The extended equivalence group has interesting structure since it
contains a non-trivial subgroup of non-local gauge equivalence transformations.
The complete group classification of the class under consideration is carried
out with respect to the extended equivalence group and with respect to the set
of all point transformations. Usage of extended equivalence and correct choice
of gauges of arbitrary elements play the major role for simple and clear
formulation of the final results. The set of admissible transformations of this
class is preliminary investigated.
| math-ph math.AP math.MP | we discuss the classical statement of group classification problem and some its extensions in the general case after that we carry out the complete extended group classification for a class of 11dimensional nonlinear diffusionconvection equations with coefficients depending on the space variable at first we construct the usual equivalence group and the extended one including transformations which are nonlocal with respect to arbitrary elements the extended equivalence group has interesting structure since it contains a nontrivial subgroup of nonlocal gauge equivalence transformations the complete group classification of the class under consideration is carried out with respect to the extended equivalence group and with respect to the set of all point transformations usage of extended equivalence and correct choice of gauges of arbitrary elements play the major role for simple and clear formulation of the final results the set of admissible transformations of this class is preliminary investigated | [['we', 'discuss', 'the', 'classical', 'statement', 'of', 'group', 'classification', 'problem', 'and', 'some', 'its', 'extensions', 'in', 'the', 'general', 'case', 'after', 'that', 'we', 'carry', 'out', 'the', 'complete', 'extended', 'group', 'classification', 'for', 'a', 'class', 'of', '11dimensional', 'nonlinear', 'diffusionconvection', 'equations', 'with', 'coefficients', 'depending', 'on', 'the', 'space', 'variable', 'at', 'first', 'we', 'construct', 'the', 'usual', 'equivalence', 'group', 'and', 'the', 'extended', 'one', 'including', 'transformations', 'which', 'are', 'nonlocal', 'with', 'respect', 'to', 'arbitrary', 'elements', 'the', 'extended', 'equivalence', 'group', 'has', 'interesting', 'structure', 'since', 'it', 'contains', 'a', 'nontrivial', 'subgroup', 'of', 'nonlocal', 'gauge', 'equivalence', 'transformations', 'the', 'complete', 'group', 'classification', 'of', 'the', 'class', 'under', 'consideration', 'is', 'carried', 'out', 'with', 'respect', 'to', 'the', 'extended', 'equivalence', 'group', 'and', 'with', 'respect', 'to', 'the', 'set', 'of', 'all', 'point', 'transformations', 'usage', 'of', 'extended', 'equivalence', 'and', 'correct', 'choice', 'of', 'gauges', 'of', 'arbitrary', 'elements', 'play', 'the', 'major', 'role', 'for', 'simple', 'and', 'clear', 'formulation', 'of', 'the', 'final', 'results', 'the', 'set', 'of', 'admissible', 'transformations', 'of', 'this', 'class', 'is', 'preliminary', 'investigated']] | [-0.12545181099376101, 0.061032722689461624, -0.08629145811875763, 0.04829498448767097, -0.10491544182798794, -0.1241050926100488, 0.03131832455151847, 0.36119757127788926, -0.2684418040778738, -0.27365794468340054, 0.11558317423316644, -0.24410395854335679, -0.135876449062584, 0.16958050050956458, -0.038583241548820014, 0.017539357354303783, 0.0483510409272751, 0.08107141411996313, -0.1605205434916199, -0.256409009616841, 0.38221465847549996, 0.003991907652543515, 0.2688297483718441, -0.03130456150650383, 0.1444245924108795, 0.05065967509092218, -0.09935111845019876, 0.04924054044361391, -0.08604865246255396, 0.09352911609386531, 0.23750191969404214, 0.06503573456006188, 0.22031844278233645, -0.3576681735770156, -0.1892534625038606, 0.14444004118341167, 0.06564293730509829, 0.08016775159535891, -0.03641510618372257, -0.30121862219146067, 0.0873928344713486, -0.16293485398993504, -0.17852951683576035, -0.07508698429240762, 0.05643345332359198, -0.019449031145191517, -0.23677008104040193, 0.034256403255244705, 0.09090732804936719, 0.06776863909928368, -0.06599422372627345, -0.06837010320805038, -0.01693600895149367, 0.12673159179651514, 0.035854907742809174, 0.010896385915824498, 0.0877207199216117, -0.08884003644054407, -0.09224359068994215, 0.4477624906239664, -0.05974598654045337, -0.2370946749880099, 0.1903227156275237, -0.1032874486124029, -0.2131717766216975, 0.11479145548382431, 0.1370231727752708, 0.12085050027374, -0.11013222781055905, 0.13951093866767006, -0.10274516418536643, 0.10604026423055254, 0.048057588327321266, 0.034832842882839825, 0.14573611856001067, 0.10255752622663063, 0.07117710428211052, 0.171763737047674, 0.0328587620553947, -0.11183466351445333, -0.41102911651033125, -0.16911750501195968, -0.05085840722511136, 0.05195311267506236, -0.08936886167497023, -0.15544227092229082, 0.42889792210783584, 0.1299209281003109, 0.12756689217220357, 0.05774249730166048, 0.1579676416803937, 0.11270859940504167, 0.08641648820607739, 0.0369756413310082, 0.19025954627372532, 0.17884313766638665, -0.020591878686987218, -0.2202941401018983, -0.0046183978489340366, 0.13272687662266144] |
710.2732 | Probabilistic communication complexity over the reals | Deterministic and probabilistic communication protocols are introduced in
which parties can exchange the values of polynomials (rather than bits in the
usual setting). It is established a sharp lower bound $2n$ on the communication
complexity of recognizing the $2n$-dimensional orthant, on the other hand the
probabilistic communication complexity of its recognizing does not exceed 4. A
polyhedron and a union of hyperplanes are constructed in $\RR^{2n}$ for which a
lower bound $n/2$ on the probabilistic communication complexity of recognizing
each is proved. As a consequence this bound holds also for the EMPTINESS and
the KNAPSACK problems.
| cs.CC | deterministic and probabilistic communication protocols are introduced in which parties can exchange the values of polynomials rather than bits in the usual setting it is established a sharp lower bound 2n on the communication complexity of recognizing the 2ndimensional orthant on the other hand the probabilistic communication complexity of its recognizing does not exceed 4 a polyhedron and a union of hyperplanes are constructed in rr2n for which a lower bound n2 on the probabilistic communication complexity of recognizing each is proved as a consequence this bound holds also for the emptiness and the knapsack problems | [['deterministic', 'and', 'probabilistic', 'communication', 'protocols', 'are', 'introduced', 'in', 'which', 'parties', 'can', 'exchange', 'the', 'values', 'of', 'polynomials', 'rather', 'than', 'bits', 'in', 'the', 'usual', 'setting', 'it', 'is', 'established', 'a', 'sharp', 'lower', 'bound', '2n', 'on', 'the', 'communication', 'complexity', 'of', 'recognizing', 'the', '2ndimensional', 'orthant', 'on', 'the', 'other', 'hand', 'the', 'probabilistic', 'communication', 'complexity', 'of', 'its', 'recognizing', 'does', 'not', 'exceed', '4', 'a', 'polyhedron', 'and', 'a', 'union', 'of', 'hyperplanes', 'are', 'constructed', 'in', 'rr2n', 'for', 'which', 'a', 'lower', 'bound', 'n2', 'on', 'the', 'probabilistic', 'communication', 'complexity', 'of', 'recognizing', 'each', 'is', 'proved', 'as', 'a', 'consequence', 'this', 'bound', 'holds', 'also', 'for', 'the', 'emptiness', 'and', 'the', 'knapsack', 'problems']] | [-0.19333747703785775, 0.10552922988426872, -0.035418806228941925, 0.0924629032372953, -0.05758231096357728, -0.22397929886938073, 0.1187285562142885, 0.2801247095533957, -0.262306006567087, -0.29333275579847395, 0.1087831498941038, -0.24608132540015504, -0.1255367809596161, 0.23535740829781085, -0.14083066358580254, 0.057670079815125064, 0.016258314324659295, 0.11026758168979238, -0.05136854154989123, -0.3127395012027894, 0.2696440250147134, -0.013767216910006633, 0.25879913282430306, 0.06024381922422132, 0.06383633099418755, 0.021782179722019162, 0.030258975214868162, -0.0071724494943434065, -0.12542563385795802, 0.15707652248784143, 0.2776246606566322, 0.2072013962363902, 0.25511943114300567, -0.39278219954576343, -0.18097475423443635, 0.1705827670545356, 0.16158518517234674, 0.08256446265052848, 0.0052549734646163415, -0.26729825902536203, 0.04503048338165172, -0.11002605728572235, -0.05051481144012845, 0.02562552353871676, 0.035342710461312286, -0.010969432517110059, -0.2800757649092702, 0.011271182367333191, 0.13782537553925067, 0.05961177491553826, -0.02671862387433066, -0.12804731281115286, -0.005066890502348542, 0.10345407636001862, -0.0439806713887568, 0.026116475735761924, 0.05767011097729361, -0.11121139353053877, -0.17925422548432834, 0.3864178996542857, 0.01443990983701345, -0.24082771216975138, 0.1888722984052341, -0.12035518430639058, -0.1621006180163628, 0.11601557642764722, 0.1522406821992869, 0.12404987410991453, -0.07428863802003131, 0.14174164555940175, -0.11636229463814136, 0.1791894527802166, 0.12830352633803463, 0.10212062498127732, 0.07149491124194658, 0.13710435239287713, 0.16050220226073483, 0.14491582975279016, 0.008803767518353803, -0.11579069446694727, -0.28185609202288714, -0.1851366820962236, -0.26035544922342524, 0.038733878495653094, -0.14077577504652558, -0.147835200617313, 0.31204878964733024, 0.06922408229729626, 0.15717370208585635, 0.17436705720077347, 0.3256685708693112, 0.11240897740814641, 0.05196828371360122, 0.14624001003297357, 0.18430878719118482, 0.11934213873852666, 0.028201342041332584, -0.14483673718314094, 0.15490208136907313, 0.13553347903264998] |
710.2733 | Breakdown of Coherence ? | In a recent paper, Albrecht Kyrieleis, Jeff Forshaw and I discovered a new
tower of super-leading logarithms in gaps between jets cross sections. After
discussions with the referee of our paper and further investigation, we have
come to view this as a breakdown of naive coherence for initial state
radiation. In this talk I illustrate this statement in a simple way, and show
how it results in the super-leading logarithms.
| hep-ph | in a recent paper albrecht kyrieleis jeff forshaw and i discovered a new tower of superleading logarithms in gaps between jets cross sections after discussions with the referee of our paper and further investigation we have come to view this as a breakdown of naive coherence for initial state radiation in this talk i illustrate this statement in a simple way and show how it results in the superleading logarithms | [['in', 'a', 'recent', 'paper', 'albrecht', 'kyrieleis', 'jeff', 'forshaw', 'and', 'i', 'discovered', 'a', 'new', 'tower', 'of', 'superleading', 'logarithms', 'in', 'gaps', 'between', 'jets', 'cross', 'sections', 'after', 'discussions', 'with', 'the', 'referee', 'of', 'our', 'paper', 'and', 'further', 'investigation', 'we', 'have', 'come', 'to', 'view', 'this', 'as', 'a', 'breakdown', 'of', 'naive', 'coherence', 'for', 'initial', 'state', 'radiation', 'in', 'this', 'talk', 'i', 'illustrate', 'this', 'statement', 'in', 'a', 'simple', 'way', 'and', 'show', 'how', 'it', 'results', 'in', 'the', 'superleading', 'logarithms']] | [-0.10266454202492777, 0.10382440124008366, -0.15164507857030807, 0.08297957617084167, -0.0267486124409034, -0.06735526579980027, 0.08167097463121857, 0.34416960292112303, -0.2255943836096455, -0.30334642752046315, 0.04286357630831737, -0.2827419925700216, -0.15602986405343366, 0.14116139860604615, -0.07368646274485133, 0.01217373481075115, 0.0909304833450519, -0.02255016944699866, -0.05695164850091233, -0.27166201943969903, 0.3718220488003948, 0.055031009127988535, 0.21810490161399632, 0.13981968744466192, 0.0461851542144466, 0.003249275313197252, -0.052910157397170275, 0.001180698280222714, -0.13501082474763013, 0.1169661069425809, 0.265941061613643, 0.1000320188331363, 0.2746225556173372, -0.3914345728904557, -0.13143276545109556, 0.03917873471372706, 0.14047387379276402, 0.13459559480714448, -0.06915142333052833, -0.26886456002316933, 0.07201820713303544, -0.2560203640639563, -0.1325228133937344, -0.06941321015577107, 0.01731153161210172, -0.038391677717513895, -0.2138533634150757, 0.03216193901950165, 0.10823783267850932, 0.075258256518282, 0.0024611459264312595, -0.1180575486163006, 0.06991292746148675, 0.07140582821824971, 0.10956099770470139, 0.043599838568993354, 0.052678305443431085, -0.15981721346650055, -0.18635380755671682, 0.3309814866960925, -0.04955595423577025, -0.1038050707155729, 0.13380110825357192, -0.177880873246228, -0.20322550760979272, 0.09038063257877879, 0.18298455869765295, 0.10664182980818783, -0.12143527857123819, 0.0610501360232079, -0.0741268478005248, 0.11561298702487394, 0.08042796287576065, 0.04869927156387883, 0.17308290712261462, 0.14541863504906788, -0.0023203020511359416, 0.11977360610206447, -0.04986785538494587, -0.08347886630936581, -0.4071921931086656, -0.1964103016207981, -0.109925208353054, 0.10121507457156173, 0.021136393045333747, -0.1024597773246248, 0.3950805527873693, 0.18052352535168587, 0.2579505077207132, 0.0362597805694403, 0.27155241950908127, 0.06651286915054216, 0.03763292627135182, 0.06801647123510894, 0.27777324393665526, 0.11542186531412024, 0.15626135694465654, -0.1568032253656865, -0.00510525908012984, 0.048507857129580396] |
710.2734 | Quark Masses in Supersymmetric SU(3)color x SU(3)W x U(1)X Model with
Discrete T' flavor symmetry | We propose a supersymmetric model of quark flavor symmetry based on
SU(3)colorxSU(3)WxU(1)X x T' where T' (binary tetrahedral group) is a discrete
flavor symmetry group. The third (heavy) generation of quarks are assigned to
singlet representation of T' while light quark generations are treated
differently and assigned to doublet representation of T' . The model generates
masses for heavy quarks as in 3-3-1 case. The quark mass terms for the second
generation are obtained when T' symmetry is broken at leading order and for
first generation with small higher order corrections .The flavor-changing
neutral current (FCNC) effects are suppressed at leading order for third to
second generation quark transitions due to T' breaking which is an attractive
feature of the 3-3-1 model with T' symmetry.
| hep-ph | we propose a supersymmetric model of quark flavor symmetry based on su3colorxsu3wxu1x x t where t binary tetrahedral group is a discrete flavor symmetry group the third heavy generation of quarks are assigned to singlet representation of t while light quark generations are treated differently and assigned to doublet representation of t the model generates masses for heavy quarks as in 331 case the quark mass terms for the second generation are obtained when t symmetry is broken at leading order and for first generation with small higher order corrections the flavorchanging neutral current fcnc effects are suppressed at leading order for third to second generation quark transitions due to t breaking which is an attractive feature of the 331 model with t symmetry | [['we', 'propose', 'a', 'supersymmetric', 'model', 'of', 'quark', 'flavor', 'symmetry', 'based', 'on', 'su3colorxsu3wxu1x', 'x', 't', 'where', 't', 'binary', 'tetrahedral', 'group', 'is', 'a', 'discrete', 'flavor', 'symmetry', 'group', 'the', 'third', 'heavy', 'generation', 'of', 'quarks', 'are', 'assigned', 'to', 'singlet', 'representation', 'of', 't', 'while', 'light', 'quark', 'generations', 'are', 'treated', 'differently', 'and', 'assigned', 'to', 'doublet', 'representation', 'of', 't', 'the', 'model', 'generates', 'masses', 'for', 'heavy', 'quarks', 'as', 'in', '331', 'case', 'the', 'quark', 'mass', 'terms', 'for', 'the', 'second', 'generation', 'are', 'obtained', 'when', 't', 'symmetry', 'is', 'broken', 'at', 'leading', 'order', 'and', 'for', 'first', 'generation', 'with', 'small', 'higher', 'order', 'corrections', 'the', 'flavorchanging', 'neutral', 'current', 'fcnc', 'effects', 'are', 'suppressed', 'at', 'leading', 'order', 'for', 'third', 'to', 'second', 'generation', 'quark', 'transitions', 'due', 'to', 't', 'breaking', 'which', 'is', 'an', 'attractive', 'feature', 'of', 'the', '331', 'model', 'with', 't', 'symmetry']] | [-0.09884132876447062, 0.32679551753995856, 0.021906116186088422, 0.08111593961560477, -0.08046175770809859, -0.17715343570609282, 0.0642149920681325, 0.33513047423486303, -0.2184894371331041, -0.2998761923120516, 0.026441766794324223, -0.2949169284202219, 0.030752963575769246, 0.020355878051415813, 0.04388732386079079, 0.022210613930431323, -0.03420940554526642, 0.07795161865197303, -0.0807227198700837, -0.2510317564256701, 0.30119854417001085, -0.05675447942893498, 0.22407879274550493, 0.071720754845083, 0.0623891881347172, -0.03043319324288911, -0.015337056283483176, -0.11850472747507255, -0.010224744881980302, 0.06482371601003517, 0.1594882534071046, -0.03822259634460618, 0.11351783970386033, -0.3550825920561707, -0.16094573775715218, 0.12203130595068015, 0.1161678597667989, 0.12655891177937298, -0.09008212356990945, -0.2948505913533982, 0.134869796988683, -0.2221445692475976, -0.129217639031661, -0.12311630726345187, 0.005989905469482992, -0.10177435578325976, -0.4002551663121799, 0.10408481433836182, 0.010728213735439671, 0.013043684069998562, 0.032980999761692636, -0.17836349355851913, -0.13694730875786484, 0.04759672817104966, 0.1383320413580982, 0.08581608837485556, 0.09024242646575761, -0.19505468228589593, -0.15587159325330843, 0.5172758197669334, -0.12060489608788848, -0.1508846365415105, 0.1467041976246377, -0.17950377506544676, -0.19912994229726919, 0.09378485350559156, 0.20148431320439994, 0.13517465031558148, -0.14566412011818766, 0.13284685453532522, -0.020933604522842944, 0.14833148112293423, 0.061628646258931094, 0.04833611502592278, 0.24849583255884244, 0.21570896788697114, 0.037891749088175414, 0.07935958258747085, -0.047748544430398054, -0.10058856153542675, -0.40709511943282634, -0.10181130147804089, -0.1207050368515396, 0.01633745209291214, -0.057476390402800046, -0.08878896051518075, 0.4177382583994933, 0.11459022058492027, 0.20604732795429181, 0.018570092537940095, 0.253421091940254, 0.1270627311413835, 0.12658315424512073, 0.05990387429672528, 0.17639818044031055, 0.15743367868850416, 0.1053698729833482, -0.26355077393733467, 0.009837543781150163, 0.1658273493280498] |
710.2735 | Effects of polarisation on study of anomalous VVH interactions at a
Linear Collider | We investigate the use of beam polarisation as well as final state $\tau$
polarisation effects in probing the interaction of the Higgs boson with a pair
of heavy vector bosons in the process $e^+ e^- \to f \bar f H$, where $f$ is
any light fermion. The sensitivity of the International Linear Collider (ILC)
operating at $\sqrt s=500$ GeV, to such $VVH$($V = W/Z$) couplings is examined
in a model independent way. The effects of ISR and beamstrahlung are discussed.
| hep-ph | we investigate the use of beam polarisation as well as final state tau polarisation effects in probing the interaction of the higgs boson with a pair of heavy vector bosons in the process e e to f bar f h where f is any light fermion the sensitivity of the international linear collider ilc operating at sqrt s500 gev to such vvhv wz couplings is examined in a model independent way the effects of isr and beamstrahlung are discussed | [['we', 'investigate', 'the', 'use', 'of', 'beam', 'polarisation', 'as', 'well', 'as', 'final', 'state', 'tau', 'polarisation', 'effects', 'in', 'probing', 'the', 'interaction', 'of', 'the', 'higgs', 'boson', 'with', 'a', 'pair', 'of', 'heavy', 'vector', 'bosons', 'in', 'the', 'process', 'e', 'e', 'to', 'f', 'bar', 'f', 'h', 'where', 'f', 'is', 'any', 'light', 'fermion', 'the', 'sensitivity', 'of', 'the', 'international', 'linear', 'collider', 'ilc', 'operating', 'at', 'sqrt', 's500', 'gev', 'to', 'such', 'vvhv', 'wz', 'couplings', 'is', 'examined', 'in', 'a', 'model', 'independent', 'way', 'the', 'effects', 'of', 'isr', 'and', 'beamstrahlung', 'are', 'discussed']] | [-0.11905404391029897, 0.2349604628741359, -0.04690784049065163, 0.10085558555270743, -0.03572199362007758, -0.1779816587551091, -0.0055104041746698125, 0.345743081627939, -0.26675724836949927, -0.26297081472017825, -0.002726440847767756, -0.313702976056494, 0.03537335963203357, 0.13874583378828204, 0.10372470821349476, 0.10382131022663835, 0.06759294426331344, 0.01759912172714487, -0.01444381576938889, -0.2368996697000395, 0.2720637512393296, 0.09769253447078742, 0.17582708336890507, 0.07589594063346083, 0.0950545317057568, 0.0829899024295931, -0.011237524157294478, -0.0941523467668165, -0.09289478932101375, 0.016061416558491495, 0.22659465961997063, 0.06995952419273611, 0.1765995824422974, -0.2947829196898219, -0.11940040376085119, 0.17761804590909144, 0.0984216677920463, 0.038531478121279716, -0.02955133753279463, -0.28735274897936064, 0.06464386764221275, -0.1947537401261238, -0.12364739294832525, 0.003292162308636575, 0.04551375755228293, -0.027656740891054656, -0.35009839225751466, 0.031341159546103045, -0.006985197257166967, 0.0554626506442825, 0.027343348916381214, -0.19420050937109268, -0.1295155938446092, -0.04071215076897389, 0.08706458107954883, 0.11131738728652589, 0.16703926091297314, -0.1913942108856132, -0.17150023047072002, 0.40843339376479915, -0.1458277896237679, -0.1837713820113538, 0.17745493634347206, -0.21488380611229402, -0.09857284173724623, 0.08775284117422043, 0.28169391633799445, 0.06562699890958193, -0.13854408629525167, 0.22331263844852145, 0.005608341723041705, 0.1215312956378628, 0.05266273905857442, 0.08736936307739085, 0.20784200306643003, 0.20202621297003368, 0.025572433709525146, 0.1031372800636559, -0.1111971406170573, 0.021574164257169917, -0.4554181717909299, -0.1310406434110915, -0.08447496096293132, 0.07932308487271747, -0.006822429315107934, -0.07757665127372512, 0.392233163333283, 0.08025302617356946, 0.2863323259382294, -0.0573182488934925, 0.2709126744735747, 0.11144368083944592, 0.031036995744216256, 0.03196789346130129, 0.3110848269186532, 0.14063405526133302, 0.0877514972518652, -0.23834668247339627, 0.011665258443174072, 0.018867218075917125] |
710.2736 | L2 norm performance index of synchronization and optimal control
synthesis of complex networks | In this paper, the synchronizability problem of dynamical networks is
addressed, where better synchronizability means that the network synchronizes
faster with lower-overshoot. The L2 norm of the error vector e is taken as a
performance index to measure this kind of synchronizability. For the
equilibrium synchronization case, it is shown that there is a close
relationship between the L2 norm of the error vector e and the H2 norm of the
transfer function G of the linearized network about the equilibrium point.
Consequently, the effect of the network coupling topology on the H2 norm of the
transfer function G is analyzed. Finally, an optimal controller is designed,
according to the so-called LQR problem in modern control theory, which can
drive the whole network to its equilibrium point and meanwhile minimize the L2
norm of the output of the linearized network.
| cs.NI | in this paper the synchronizability problem of dynamical networks is addressed where better synchronizability means that the network synchronizes faster with lowerovershoot the l2 norm of the error vector e is taken as a performance index to measure this kind of synchronizability for the equilibrium synchronization case it is shown that there is a close relationship between the l2 norm of the error vector e and the h2 norm of the transfer function g of the linearized network about the equilibrium point consequently the effect of the network coupling topology on the h2 norm of the transfer function g is analyzed finally an optimal controller is designed according to the socalled lqr problem in modern control theory which can drive the whole network to its equilibrium point and meanwhile minimize the l2 norm of the output of the linearized network | [['in', 'this', 'paper', 'the', 'synchronizability', 'problem', 'of', 'dynamical', 'networks', 'is', 'addressed', 'where', 'better', 'synchronizability', 'means', 'that', 'the', 'network', 'synchronizes', 'faster', 'with', 'lowerovershoot', 'the', 'l2', 'norm', 'of', 'the', 'error', 'vector', 'e', 'is', 'taken', 'as', 'a', 'performance', 'index', 'to', 'measure', 'this', 'kind', 'of', 'synchronizability', 'for', 'the', 'equilibrium', 'synchronization', 'case', 'it', 'is', 'shown', 'that', 'there', 'is', 'a', 'close', 'relationship', 'between', 'the', 'l2', 'norm', 'of', 'the', 'error', 'vector', 'e', 'and', 'the', 'h2', 'norm', 'of', 'the', 'transfer', 'function', 'g', 'of', 'the', 'linearized', 'network', 'about', 'the', 'equilibrium', 'point', 'consequently', 'the', 'effect', 'of', 'the', 'network', 'coupling', 'topology', 'on', 'the', 'h2', 'norm', 'of', 'the', 'transfer', 'function', 'g', 'is', 'analyzed', 'finally', 'an', 'optimal', 'controller', 'is', 'designed', 'according', 'to', 'the', 'socalled', 'lqr', 'problem', 'in', 'modern', 'control', 'theory', 'which', 'can', 'drive', 'the', 'whole', 'network', 'to', 'its', 'equilibrium', 'point', 'and', 'meanwhile', 'minimize', 'the', 'l2', 'norm', 'of', 'the', 'output', 'of', 'the', 'linearized', 'network']] | [-0.16401749148503408, 0.037968414633894144, -0.06729637263715435, 0.07915299211916842, -0.019541463322213872, -0.11283448021004659, 0.04600286560816516, 0.36435708999901795, -0.355824712543286, -0.2550399272481529, 0.10787910482135983, -0.2464543452164788, -0.19329558621100384, 0.12454773039429737, -0.0730019941366539, 0.09667796956453968, 0.06787925307377637, 0.12546344880657873, -0.05749173468086038, -0.23207567857156286, 0.34663739826918827, 0.10268338415905726, 0.2858375584649713, 0.02193243736267197, 0.08741209604544983, -0.04214972523275575, 0.045682388026160085, -0.011289899391191257, -0.11312355369837408, 0.13756020941851968, 0.22470707819200783, 0.1326372448284608, 0.3332990524258545, -0.391313466786159, -0.20173143490934545, 0.17737415310987037, 0.10272519173194393, 0.020391101231162015, 0.025981788455656053, -0.26084286641671234, 0.11351578477552335, -0.1294419730039022, -0.09819566941545378, -0.034448531002355676, 0.026757930124031125, 0.025960689007720018, -0.32534033606137086, 0.046556886791405704, 0.07804867643892276, 0.02298348087469022, -0.09585212213707511, -0.0790110802421976, -0.07018025062991667, 0.16526356058717845, 0.040363949864245144, 0.102572161834955, 0.12859375239182397, -0.10751667907863534, -0.0724656344491908, 0.35835970569696785, -0.06533004772948209, -0.23848282848484814, 0.11790968437860017, -0.095104166336706, -0.055576824676915465, 0.08940607837314228, 0.17752448073420807, 0.09375869632169283, -0.12228959405241138, 0.08361974646581886, -0.032837156410305594, 0.19269025103539134, 0.02705291177568247, 0.030548873826486172, 0.10343230242519338, 0.19192054850659032, 0.19464286660696814, 0.1449051922515517, -0.06856032666099499, -0.1184729362541488, -0.2949511802775397, -0.11452520456292378, -0.21619548672716393, 0.05416632803130171, -0.11247396046231273, -0.1436618190037217, 0.39084680704064934, 0.10189136168953004, 0.18238517519408207, 0.0660329059833366, 0.30038014018117526, 0.15530151093174308, 0.042508376706157064, 0.11049133062148266, 0.2867414998192099, 0.16834228108603533, 0.10599395864485703, -0.2910556911018496, 0.06309782633249708, 0.1035458665347839] |
710.2737 | The history of mass assembly of faint red galaxies in 28 galaxy clusters
since z=1.3 | We measure the relative evolution of the number of bright and faint (as faint
as 0.05 L*) red galaxies in a sample of 28 clusters, of which 16 are at 0.50<=
z<=1.27, all observed through a pair of filters bracketing the 4000 Angstrom
break rest-frame. The abundance of red galaxies, relative to bright ones, is
constant over all the studied redshift range, 0<z<1.3, and rules out a
differential evolution between bright and faint red galaxies as large as
claimed in some past works. Faint red galaxies are largely assembled and in
place at z=1.3 and their deficit does not depend on cluster mass, parametrized
by velocity dispersion or X-ray luminosity. Our analysis, with respect to
previous one, samples a wider redshift range, minimizes systematics and put a
more attention to statistical issues, keeping at the same time a large number
of clusters.
| astro-ph | we measure the relative evolution of the number of bright and faint as faint as 005 l red galaxies in a sample of 28 clusters of which 16 are at 050 z127 all observed through a pair of filters bracketing the 4000 angstrom break restframe the abundance of red galaxies relative to bright ones is constant over all the studied redshift range 0z13 and rules out a differential evolution between bright and faint red galaxies as large as claimed in some past works faint red galaxies are largely assembled and in place at z13 and their deficit does not depend on cluster mass parametrized by velocity dispersion or xray luminosity our analysis with respect to previous one samples a wider redshift range minimizes systematics and put a more attention to statistical issues keeping at the same time a large number of clusters | [['we', 'measure', 'the', 'relative', 'evolution', 'of', 'the', 'number', 'of', 'bright', 'and', 'faint', 'as', 'faint', 'as', '005', 'l', 'red', 'galaxies', 'in', 'a', 'sample', 'of', '28', 'clusters', 'of', 'which', '16', 'are', 'at', '050', 'z127', 'all', 'observed', 'through', 'a', 'pair', 'of', 'filters', 'bracketing', 'the', '4000', 'angstrom', 'break', 'restframe', 'the', 'abundance', 'of', 'red', 'galaxies', 'relative', 'to', 'bright', 'ones', 'is', 'constant', 'over', 'all', 'the', 'studied', 'redshift', 'range', '0z13', 'and', 'rules', 'out', 'a', 'differential', 'evolution', 'between', 'bright', 'and', 'faint', 'red', 'galaxies', 'as', 'large', 'as', 'claimed', 'in', 'some', 'past', 'works', 'faint', 'red', 'galaxies', 'are', 'largely', 'assembled', 'and', 'in', 'place', 'at', 'z13', 'and', 'their', 'deficit', 'does', 'not', 'depend', 'on', 'cluster', 'mass', 'parametrized', 'by', 'velocity', 'dispersion', 'or', 'xray', 'luminosity', 'our', 'analysis', 'with', 'respect', 'to', 'previous', 'one', 'samples', 'a', 'wider', 'redshift', 'range', 'minimizes', 'systematics', 'and', 'put', 'a', 'more', 'attention', 'to', 'statistical', 'issues', 'keeping', 'at', 'the', 'same', 'time', 'a', 'large', 'number', 'of', 'clusters']] | [-0.044507066590521276, 0.11500301673142634, -0.06506889229837123, 0.08983194664478118, -0.10841465017407424, -0.06466243458701901, 0.08014736237975073, 0.4538377382280961, -0.1299015237674327, -0.3972274175714734, 0.03716211175483743, -0.32951889189720995, 0.027232218761666035, 0.19217421506813556, -0.04682797785769676, -0.0015322695573149118, 0.031176873483583594, -0.06687347646999423, -0.052346639868452435, -0.29820225837158404, 0.26630770311441637, 0.04022401506343568, 0.2046452041085757, -0.0617015760385392, 0.06937156576650139, -0.07140601157459994, -0.10412611606289816, -0.002549068812071018, -0.13472534721376192, -0.016987324038907414, 0.2492743102525374, 0.09059195109301994, 0.3026397888299445, -0.2814809569338739, -0.15989101912767273, 0.13107149374776217, 0.22509063700948592, 0.04199575713563474, -0.044054537153705255, -0.27567140291064557, 0.09312664307194801, -0.12875641921771244, -0.15384207708879152, 0.0816676369933805, 0.0651551368875875, 0.057826782780056686, -0.16429613413646635, 0.14370009945508774, -4.469608823673695e-05, 0.10340132984713139, -0.04952332659126062, -0.12695002694889693, -0.10438079418635822, 0.08281388619265348, 0.010705688055014422, 0.05871939343977457, 0.1668749123050923, -0.13058115893476446, 0.013859971906845523, 0.4001653948536431, -0.05888813892444989, -0.00031508232995561936, 0.21693195732684256, -0.18604246749293427, -0.17766730328300365, 0.14127145588404538, 0.15484026140979373, 0.12481862358735796, -0.13677088541477184, -0.011936403249396982, 0.005588050100388347, 0.22961930271966094, 0.07385632160946097, 0.1102202713430505, 0.29328484430541873, 0.09421206665763134, 0.052736255841191966, 0.05723886383356343, -0.20581726605666173, -0.01052357370860245, -0.2615471791580949, -0.061754975067845115, -0.13337924263708975, 0.07493531115733917, -0.12866194927216423, -0.1538387625172823, 0.34106604370918175, 0.08116147648805463, 0.2938048565814773, 0.1263703546203135, 0.28218482883358503, 0.09427277471880022, 0.15784635098116526, 0.055277831122790735, 0.28134734893621854, 0.17163624634972813, 0.06929038469860016, -0.19591020199168527, 0.0327350102515865, -0.02341329589859963] |
710.2738 | CdZnTe room-temperature semiconductor operation in liquid scintillator | We demonstrate the first operation of CdZnTe room-temperature detectors in a
liquid scintillator environment. This work follows conceptually the
Heusser-type detector method of operating HPGe detectors in liquid nitrogen and
liquid argon but instead for a far more practical room-temperature ensemble
with the aim of achieving ultra-low background levels for radiation detection.
| nucl-ex | we demonstrate the first operation of cdznte roomtemperature detectors in a liquid scintillator environment this work follows conceptually the heussertype detector method of operating hpge detectors in liquid nitrogen and liquid argon but instead for a far more practical roomtemperature ensemble with the aim of achieving ultralow background levels for radiation detection | [['we', 'demonstrate', 'the', 'first', 'operation', 'of', 'cdznte', 'roomtemperature', 'detectors', 'in', 'a', 'liquid', 'scintillator', 'environment', 'this', 'work', 'follows', 'conceptually', 'the', 'heussertype', 'detector', 'method', 'of', 'operating', 'hpge', 'detectors', 'in', 'liquid', 'nitrogen', 'and', 'liquid', 'argon', 'but', 'instead', 'for', 'a', 'far', 'more', 'practical', 'roomtemperature', 'ensemble', 'with', 'the', 'aim', 'of', 'achieving', 'ultralow', 'background', 'levels', 'for', 'radiation', 'detection']] | [-0.053445379334209744, 0.20230238287545302, -0.06858257339427284, -0.06286964764106362, 0.07863415790466118, -0.2196422536839165, 0.06350279803953919, 0.42195071104694815, -0.1299018556909526, -0.3595188652329585, 0.05398305429273522, -0.36850111179199874, -0.052290136834570004, 0.21035154208120907, -0.03876217561500037, 0.09575777825917683, 0.03635835390099708, -0.05453504994511604, -0.11592973797015992, -0.16850062618579933, 0.15684523312922785, 0.20267005965990179, 0.363621453444163, 0.06138958360123284, 0.23022954985864608, -0.07861970095694357, 0.02250483727959149, -0.05851784779224545, -0.03804046901824026, 0.03291559197446879, 0.4043045816029988, 0.0575343114963057, 0.16530588095752047, -0.48371077162857334, -0.20916476128075054, 0.06905237873148758, 0.05290049778334066, 0.09856916197082576, -0.15000706876076841, -0.28849067189274175, 0.03337126385931875, -0.21946573416318962, -0.14551655208582387, -0.02287995957258139, -0.050635469182595316, -0.04198312608915491, -0.16577660807353609, -0.025492993219956465, 0.06908569281336431, 0.03367149294810552, -0.047403369117162975, -0.1616317640040435, 0.1433535375650607, 0.004529438063721447, -0.06441583278515906, -0.03454558004387746, 0.2988703371808572, -0.19043347070121444, -0.043688639596688984, 0.32488688125329857, -0.09793327945768468, -0.10930969935896642, 0.20077847119639902, -0.20485331446808927, -0.07730220932075206, 0.23448429380853972, 0.14058101361653969, 0.15789950938493597, -0.21821285474945007, -0.013178537591753126, 0.04398996476083994, 0.2159534007694353, 0.10335915168637738, 0.06865607437622898, 0.24308903592036052, 0.38177759306249665, 0.10099023262805798, 0.16653131990803077, -0.19430267695775805, 0.04170625586993992, -0.2723407212133501, -0.23464253327498832, -0.18172753016993987, 0.04552977245447098, 0.016567962253568966, -0.15098520806607077, 0.3703390888358448, 0.17839666622161282, 0.041390020057887715, -0.008557496062826877, 0.3580527822760975, -0.018304361432206397, 0.027653203510186252, -0.043525793589651585, 0.3098730934674249, 0.08455683824186232, 0.1095497145901854, -0.23806073889136314, 0.04287276839764387, -0.011784961227984989] |
710.2739 | The look-ahead effect of phenotypic mutations | The evolution of complex molecular traits such as disulphide bridges often
requires multiple mutations. The intermediate steps in such evolutionary
trajectories are likely to be selectively neutral or deleterious. Therefore,
large populations and long times may be required to evolve such traits. We
propose that errors in transcription and translation may allow selection for
the intermediate mutations if the final trait provides a large enough selective
advantage. We test this hypothesis using a population based model of protein
evolution. If an individual acquires one of two mutations needed for a novel
trait, the second mutation can be introduced into the phenotype due to
transcription and translation errors. If the novel trait is advantageous
enough, the allele with only one mutation will spread through the population,
even though the gene sequence does not yet code for the complete trait. The
first mutation then has a higher frequency than expected without phenotypic
mutations giving the second mutation a higher probability of fixation. Thus,
errors allow protein sequences to ''look-ahead'' for a more direct path to a
complex trait.
| q-bio.PE | the evolution of complex molecular traits such as disulphide bridges often requires multiple mutations the intermediate steps in such evolutionary trajectories are likely to be selectively neutral or deleterious therefore large populations and long times may be required to evolve such traits we propose that errors in transcription and translation may allow selection for the intermediate mutations if the final trait provides a large enough selective advantage we test this hypothesis using a population based model of protein evolution if an individual acquires one of two mutations needed for a novel trait the second mutation can be introduced into the phenotype due to transcription and translation errors if the novel trait is advantageous enough the allele with only one mutation will spread through the population even though the gene sequence does not yet code for the complete trait the first mutation then has a higher frequency than expected without phenotypic mutations giving the second mutation a higher probability of fixation thus errors allow protein sequences to lookahead for a more direct path to a complex trait | [['the', 'evolution', 'of', 'complex', 'molecular', 'traits', 'such', 'as', 'disulphide', 'bridges', 'often', 'requires', 'multiple', 'mutations', 'the', 'intermediate', 'steps', 'in', 'such', 'evolutionary', 'trajectories', 'are', 'likely', 'to', 'be', 'selectively', 'neutral', 'or', 'deleterious', 'therefore', 'large', 'populations', 'and', 'long', 'times', 'may', 'be', 'required', 'to', 'evolve', 'such', 'traits', 'we', 'propose', 'that', 'errors', 'in', 'transcription', 'and', 'translation', 'may', 'allow', 'selection', 'for', 'the', 'intermediate', 'mutations', 'if', 'the', 'final', 'trait', 'provides', 'a', 'large', 'enough', 'selective', 'advantage', 'we', 'test', 'this', 'hypothesis', 'using', 'a', 'population', 'based', 'model', 'of', 'protein', 'evolution', 'if', 'an', 'individual', 'acquires', 'one', 'of', 'two', 'mutations', 'needed', 'for', 'a', 'novel', 'trait', 'the', 'second', 'mutation', 'can', 'be', 'introduced', 'into', 'the', 'phenotype', 'due', 'to', 'transcription', 'and', 'translation', 'errors', 'if', 'the', 'novel', 'trait', 'is', 'advantageous', 'enough', 'the', 'allele', 'with', 'only', 'one', 'mutation', 'will', 'spread', 'through', 'the', 'population', 'even', 'though', 'the', 'gene', 'sequence', 'does', 'not', 'yet', 'code', 'for', 'the', 'complete', 'trait', 'the', 'first', 'mutation', 'then', 'has', 'a', 'higher', 'frequency', 'than', 'expected', 'without', 'phenotypic', 'mutations', 'giving', 'the', 'second', 'mutation', 'a', 'higher', 'probability', 'of', 'fixation', 'thus', 'errors', 'allow', 'protein', 'sequences', 'to', 'lookahead', 'for', 'a', 'more', 'direct', 'path', 'to', 'a', 'complex', 'trait']] | [-0.07971190008935412, 0.164589784249074, -0.07819944966203449, 0.14702758827214976, -0.08096704166911711, -0.2098123618052341, 0.13419636670005275, 0.3979545397874476, -0.2798173173108477, -0.22730122007223227, 0.062243964269741395, -0.17309691135200078, -0.1862311624685059, 0.1526360279663508, -0.11472588280131193, -0.027381228748047513, 0.1390816502035622, 0.037988024052042005, 0.0676570637178057, -0.26037776497436094, 0.2888030169613723, 0.06782566803634506, 0.2413086789496116, -0.032904088065896016, 0.1251791168827119, -0.018661290752334025, -0.023695346985319207, -0.008147293617102232, -0.07819068083819564, 0.11707852567831817, 0.28102742907437706, 0.1912169112911215, 0.37816060133363033, -0.40694797099356284, -0.18983888780878094, 0.16942774821258022, 0.22391452120527075, 0.2582307124208786, -0.036367108994206566, -0.24709549628261646, 0.0984861480603947, -0.1508378016248819, -0.05769334046106616, -0.06819223495205567, 0.018419346962632102, 0.029782689390148418, -0.29916534973678854, 0.08049519141985167, 0.03854061639470852, 0.08478704942271262, -0.020014274275374853, -0.12760599399916828, -0.089563909500033, 0.21926942259597126, 0.07286000623042294, 0.025804697153613564, 0.18164907503259284, -0.0967400048301153, -0.11167214454458603, 0.35880767373071815, -0.049451877707393906, -0.24080816024533389, 0.24651844653073401, -0.18183869585416026, -0.16681873009391976, 0.1658473965733058, 0.13774250550671818, 0.09925954867768186, -0.19610935448674188, -0.013688916353368602, 0.06887792034434494, 0.21875606855478094, 0.06603715914587321, 0.022263082724583164, 0.23240897234977223, 0.19452664700590752, 0.07047145605214279, 0.07435677294812525, -0.11480784144210206, -0.09112780104491817, -0.1968253806252588, -0.17817859895827, -0.10875877027071758, 0.09349267823571691, -0.09770822194323872, -0.21039637168128553, 0.37393696552713995, 0.10674313686004924, 0.20707423480185258, 0.12619290672195016, 0.2389765875638907, 0.06404788072772631, 0.13267183829355583, -0.02771267519247803, 0.09203380140454763, 0.03911756706921468, 0.04511221748543903, -0.25268340982339316, 0.21498771497598765, 0.012903241809743287] |
710.274 | Reliability of Module Based Software System | This paper consider the problem of determining the reliability of a software
system which can be decomposed in a number of modules. We have derived the
expression of the reliability of a system using the Markovian model for the
transfer of control between modules in order. We have given the expression of
reliability by considering both benign and catastrophic failure. The expression
of reliability presented in this work is applicable for some control software
which are designed to detect its own internal errors.
| stat.AP | this paper consider the problem of determining the reliability of a software system which can be decomposed in a number of modules we have derived the expression of the reliability of a system using the markovian model for the transfer of control between modules in order we have given the expression of reliability by considering both benign and catastrophic failure the expression of reliability presented in this work is applicable for some control software which are designed to detect its own internal errors | [['this', 'paper', 'consider', 'the', 'problem', 'of', 'determining', 'the', 'reliability', 'of', 'a', 'software', 'system', 'which', 'can', 'be', 'decomposed', 'in', 'a', 'number', 'of', 'modules', 'we', 'have', 'derived', 'the', 'expression', 'of', 'the', 'reliability', 'of', 'a', 'system', 'using', 'the', 'markovian', 'model', 'for', 'the', 'transfer', 'of', 'control', 'between', 'modules', 'in', 'order', 'we', 'have', 'given', 'the', 'expression', 'of', 'reliability', 'by', 'considering', 'both', 'benign', 'and', 'catastrophic', 'failure', 'the', 'expression', 'of', 'reliability', 'presented', 'in', 'this', 'work', 'is', 'applicable', 'for', 'some', 'control', 'software', 'which', 'are', 'designed', 'to', 'detect', 'its', 'own', 'internal', 'errors']] | [-0.16237579744220823, 0.0103074788418879, -0.051686835116201854, 0.02880281040933073, -0.001875341477164303, -0.12466157835919454, 0.047156558732547045, 0.3306444350585162, -0.25662590070145136, -0.34321556352527743, 0.14315802920525558, -0.1984736396740359, -0.16241927467376352, 0.21582518739861448, -0.10275088874510972, 0.07026189616081832, 0.0623549990126206, 0.06229422638103007, -0.03720097667369318, -0.24501988630887706, 0.3272826829588557, 0.06947427747928235, 0.26922346214225223, 0.04694572937147445, 0.0949332534268229, 0.01874536999462015, -0.04076767445777554, 0.03358876998031355, -0.10019734990221998, 0.16538441437997867, 0.27273888013841785, 0.1867496322346739, 0.29826968154275274, -0.3987659358879529, -0.21014546570424214, 0.11623656327824995, 0.14171748318294264, 0.09869729095497673, -0.01683949801442494, -0.2506389075733093, 0.12738864312610443, -0.2634409651586629, -0.08948872409514096, -0.052274346015000916, -0.009122770366606763, 0.054365983765841605, -0.2543761943837246, 0.0457038201184113, 0.05863829027771591, 0.06777360068293321, -0.08791667597329086, -0.06360821177375066, -0.009863476930971605, 0.23080272898807314, 0.01423088510531977, -0.028353637499532784, 0.1166620459631983, -0.13665782799944282, -0.09850711826549237, 0.3857232475686953, -0.022444892810736167, -0.25410392777208823, 0.16854270294880921, -0.08628006285639951, -0.13256719399871955, 0.11639319903340685, 0.21209753269935588, 0.07717654776636017, -0.2132298423717898, 0.060789915519143756, 0.018309294448110712, 0.131185882909964, 0.03938886710072318, 0.020822080099079984, 0.17289589121040091, 0.186010799101408, 0.017377306629359407, 0.19079559225538545, -0.06830882554290345, -0.03780741700117128, -0.3039708909500076, -0.17627102603956338, -0.1520919607144343, 0.010459709239293295, -0.0410995719369139, -0.15871053687240705, 0.4220642372516982, 0.20303502218259206, 0.15869900138756957, 0.08426380186925182, 0.3086423197458218, 0.15967802086800156, 0.051205711366317, 0.047973811014903237, 0.21664607206938777, 0.10696006031336644, 0.06279990218400237, -0.240760546971494, 0.13768898322617254, 0.015543933969035924] |
710.2741 | Dark Energy, Induced Gravity and Broken Scale Invariance | We study the cosmological evolution of an induced gravity model with a
self-interacting scalar field $\sigma$ and in the presence of matter and
radiation. Such model leads to Einstein Gravity plus a cosmological constant as
a stable attractor among homogeneous cosmologies and is therefore a viable
dark-energy (DE) model for a wide range of scalar field initial conditions and
values for its positive $\gamma$ coupling to the Ricci curvature $\gamma
\sigma^{2}R$.
| astro-ph gr-qc hep-th | we study the cosmological evolution of an induced gravity model with a selfinteracting scalar field sigma and in the presence of matter and radiation such model leads to einstein gravity plus a cosmological constant as a stable attractor among homogeneous cosmologies and is therefore a viable darkenergy de model for a wide range of scalar field initial conditions and values for its positive gamma coupling to the ricci curvature gamma sigma2r | [['we', 'study', 'the', 'cosmological', 'evolution', 'of', 'an', 'induced', 'gravity', 'model', 'with', 'a', 'selfinteracting', 'scalar', 'field', 'sigma', 'and', 'in', 'the', 'presence', 'of', 'matter', 'and', 'radiation', 'such', 'model', 'leads', 'to', 'einstein', 'gravity', 'plus', 'a', 'cosmological', 'constant', 'as', 'a', 'stable', 'attractor', 'among', 'homogeneous', 'cosmologies', 'and', 'is', 'therefore', 'a', 'viable', 'darkenergy', 'de', 'model', 'for', 'a', 'wide', 'range', 'of', 'scalar', 'field', 'initial', 'conditions', 'and', 'values', 'for', 'its', 'positive', 'gamma', 'coupling', 'to', 'the', 'ricci', 'curvature', 'gamma', 'sigma2r']] | [-0.19548636827040727, 0.1647115440362438, -0.1140270132938741, 0.08327090688554806, -0.12391278808477374, -0.1887029321129683, -0.08859003672841936, 0.28186576356980164, -0.198253312161271, -0.3091373388773539, 0.04393434533554221, -0.22369393146216449, -0.08358870981864526, 0.14939632315621515, 0.044068845428368995, 0.0006740684008215961, -0.026941032804758618, 0.07850395052523261, -0.02082649989686513, -0.217180978296928, 0.40518499397948177, 0.09133593505904289, 0.1564217246970503, 0.016716327177177012, 0.13268676708439286, -0.0689421444541027, 0.010161005413081025, 0.07613306554873854, -0.22106828652387878, 0.011709617765646585, 0.14226272707955886, 0.08585646324856601, 0.23621693059382304, -0.3225775139904778, -0.31737119456569496, 0.21784182853052314, 0.08101477782228883, 0.1269462903056451, -0.08408945773951185, -0.2958543058681551, 0.052051836250900804, -0.18267937111307564, -0.15105419238606257, -0.04268769636868276, 0.037495850877259186, -0.06539584554298977, -0.31861101127636265, 0.13487818249514405, -0.0357237412843486, -0.04148961713826153, -0.14079546161212395, -0.06813192696795917, -0.030051359670682693, 0.020931109943440263, 0.11708445543206861, 0.062368537030432006, 0.13241169896160424, -0.2116540528466584, -0.03081895212616614, 0.41820379168214933, -0.2508474515331253, -0.2028745945385644, 0.14376224357057626, -0.12359251705011431, -0.09525842620322192, 0.09331302761926617, 0.15133136268180442, 0.120848514782396, -0.10056272904309903, 0.2140931828491862, 0.0407481272508141, 0.13717862723631338, 0.08444090591559947, 0.00015171354925128775, 0.3324917011802465, 0.12701311282498737, 0.06631366276300289, 0.047546803564305455, -0.02595636558154939, -0.09340219722378632, -0.39224613321499086, -0.1779936551654213, -0.10198123490726443, 0.1154224596602816, -0.20689105744798286, -0.24439736439938275, 0.3751568569159004, 0.07509829443682667, 0.1547914255069385, 0.07607343173618625, 0.23269304850886405, 0.043872053497208574, -0.014355171999802262, 0.0626320570221984, 0.2738776468658741, 0.21488983449067028, 0.11339106274978586, -0.22940324659419942, -0.07977842572997783, -0.009876767757125723] |
710.2742 | Relic gravitons from super-inflation | The super-inflationary phase is predicted by the Loop Quantum Cosmology. In
this paper we study the creation of gravitational waves during this phase. We
consider the inverse volume corrections to the equation for the tensor modes
and calculate the spectrum of the produced gravitons. The amplitude of the
obtained spectrum as well as maximal energy of gravitons strongly depend on the
evolution of the Universe after the super-inflation. We show that a further
standard inflationary phase is necessary to lower the amount of gravitons below
the present bound. In case of the lack of the standard inflationary phase, the
present intensity of gravitons would be extremely large. These considerations
give us another motivation to introduce the standard phase of inflation.
| gr-qc | the superinflationary phase is predicted by the loop quantum cosmology in this paper we study the creation of gravitational waves during this phase we consider the inverse volume corrections to the equation for the tensor modes and calculate the spectrum of the produced gravitons the amplitude of the obtained spectrum as well as maximal energy of gravitons strongly depend on the evolution of the universe after the superinflation we show that a further standard inflationary phase is necessary to lower the amount of gravitons below the present bound in case of the lack of the standard inflationary phase the present intensity of gravitons would be extremely large these considerations give us another motivation to introduce the standard phase of inflation | [['the', 'superinflationary', 'phase', 'is', 'predicted', 'by', 'the', 'loop', 'quantum', 'cosmology', 'in', 'this', 'paper', 'we', 'study', 'the', 'creation', 'of', 'gravitational', 'waves', 'during', 'this', 'phase', 'we', 'consider', 'the', 'inverse', 'volume', 'corrections', 'to', 'the', 'equation', 'for', 'the', 'tensor', 'modes', 'and', 'calculate', 'the', 'spectrum', 'of', 'the', 'produced', 'gravitons', 'the', 'amplitude', 'of', 'the', 'obtained', 'spectrum', 'as', 'well', 'as', 'maximal', 'energy', 'of', 'gravitons', 'strongly', 'depend', 'on', 'the', 'evolution', 'of', 'the', 'universe', 'after', 'the', 'superinflation', 'we', 'show', 'that', 'a', 'further', 'standard', 'inflationary', 'phase', 'is', 'necessary', 'to', 'lower', 'the', 'amount', 'of', 'gravitons', 'below', 'the', 'present', 'bound', 'in', 'case', 'of', 'the', 'lack', 'of', 'the', 'standard', 'inflationary', 'phase', 'the', 'present', 'intensity', 'of', 'gravitons', 'would', 'be', 'extremely', 'large', 'these', 'considerations', 'give', 'us', 'another', 'motivation', 'to', 'introduce', 'the', 'standard', 'phase', 'of', 'inflation']] | [-0.1463764483574778, 0.22448092870569478, -0.10703307461226359, 0.09784039893808465, -0.058809660173331696, -0.04732231035983811, 0.017242307767931682, 0.2746224887048205, -0.2254150689036275, -0.28377369010510545, 0.11075044704484753, -0.2305153656518087, -0.12831187616102396, 0.1644299962363827, -0.009642137393044928, 0.005371745155813793, 0.04389260897878557, 0.04940842509580155, -0.05332828936904358, -0.2267770688747987, 0.3571641440503299, 0.10550611484698796, 0.2459800124944498, 0.04839446997114768, 0.07117472401199242, -0.036285900567114976, -0.028187126445118338, -0.039487665596728526, -0.16488520305362422, 0.08691126324605042, 0.16349275939476987, 0.12997897825747107, 0.18183798167156057, -0.4278609585482627, -0.22435371055811024, 0.17218819813375982, 0.13792515529397253, 0.1671599090002322, -0.017913048096428005, -0.27350667255426137, 0.04955616197742832, -0.16213207816860328, -0.14860924713429996, -0.03682156639794509, -0.013666228872413437, -0.06647212401536914, -0.223363479677937, 0.11438668484333903, 0.03415698952691552, -0.03773531164042652, -0.03113077294547111, -0.057966530171688645, -0.016974872059654443, 0.07616196245653555, 0.09663215356316263, 0.003065066844768201, 0.12086573022340114, -0.1670331854838878, -0.09244348510789374, 0.404429599076199, -0.14059218333956475, -0.10062332014398029, 0.11957637697147826, -0.18553657033868756, -0.10655790848347048, 0.1198831611603964, 0.14824115348941025, 0.10454090660593161, -0.10028750625594209, 0.1263080608851548, 0.056458044692408296, 0.15691371948923916, 0.06285791551539054, 0.07445346073169883, 0.2668410929230352, 0.1310512427201805, 0.028353710710265052, 0.20193500850048926, -0.07135948983292716, -0.08375378122242788, -0.39586631587396065, -0.1589834170091005, -0.1712049937651803, 0.043255877812043764, -0.11405744588300877, -0.21471356640880307, 0.4178408374621843, 0.1517461079832477, 0.20091468986793187, 0.05875215485381583, 0.2799150092721296, 0.14995301881475218, 0.03496647015951263, 0.037521691979297125, 0.3424544034060091, 0.13146154828718865, 0.14338274768088013, -0.2533599690029708, -0.005883278612357875, 0.0656387364026159] |
710.2743 | Non-minimal coupling as a mechanism for spontaneous symmetry breaking on
the brane | Motivated by the dimensional asymmetry characteristic of braneworlds, we
populate the bulk spacetime with matter scalar fields, both real and complex,
and couple them non-minimally to gravity. We derive the effective equations of
motion on the brane and realize the case when the fields acquire a
non-vanishing vacuum expectation value. This entails a change in the effective
cosmological constant and in the effective mass of the scalar fields. We find
that the non-minimal coupling provides a mechanism for generating spontaneous
symmetry breaking at Planck energies on the brane. This mechanism is however
rendered unviable for the generation of masses at the energy scales of the
standard model.
| hep-th | motivated by the dimensional asymmetry characteristic of braneworlds we populate the bulk spacetime with matter scalar fields both real and complex and couple them nonminimally to gravity we derive the effective equations of motion on the brane and realize the case when the fields acquire a nonvanishing vacuum expectation value this entails a change in the effective cosmological constant and in the effective mass of the scalar fields we find that the nonminimal coupling provides a mechanism for generating spontaneous symmetry breaking at planck energies on the brane this mechanism is however rendered unviable for the generation of masses at the energy scales of the standard model | [['motivated', 'by', 'the', 'dimensional', 'asymmetry', 'characteristic', 'of', 'braneworlds', 'we', 'populate', 'the', 'bulk', 'spacetime', 'with', 'matter', 'scalar', 'fields', 'both', 'real', 'and', 'complex', 'and', 'couple', 'them', 'nonminimally', 'to', 'gravity', 'we', 'derive', 'the', 'effective', 'equations', 'of', 'motion', 'on', 'the', 'brane', 'and', 'realize', 'the', 'case', 'when', 'the', 'fields', 'acquire', 'a', 'nonvanishing', 'vacuum', 'expectation', 'value', 'this', 'entails', 'a', 'change', 'in', 'the', 'effective', 'cosmological', 'constant', 'and', 'in', 'the', 'effective', 'mass', 'of', 'the', 'scalar', 'fields', 'we', 'find', 'that', 'the', 'nonminimal', 'coupling', 'provides', 'a', 'mechanism', 'for', 'generating', 'spontaneous', 'symmetry', 'breaking', 'at', 'planck', 'energies', 'on', 'the', 'brane', 'this', 'mechanism', 'is', 'however', 'rendered', 'unviable', 'for', 'the', 'generation', 'of', 'masses', 'at', 'the', 'energy', 'scales', 'of', 'the', 'standard', 'model']] | [-0.16779757553067443, 0.20881545814363478, -0.04635521985381563, 0.11248645272484555, -0.09917853180771675, -0.12553101735381045, -0.023843316030558025, 0.2944796796818481, -0.2105520310557108, -0.32481658416060366, 0.04113019636840882, -0.22653331740968208, -0.08667614516175448, 0.1319036965006005, 0.028936939844948665, -0.01190302524036754, -0.04745630716696103, 0.0599122089029194, -0.04029846207508556, -0.22641656015973502, 0.3930538192535011, 0.04349163632674543, 0.27673107298595884, 0.061728353868891424, 0.15729284423151027, -0.04370712489107293, 0.01733319712889807, -0.013330469430189267, -0.13175196835378708, 0.10286630709246497, 0.1357411859322026, 0.04109678164594502, 0.1744936427066677, -0.40679188200847083, -0.24261278161239402, 0.12988045809259552, 0.11057172325726981, 0.18582104848018874, -0.10318337383714861, -0.27311287922828204, 0.04662677255528761, -0.13824934657950338, -0.151081830572128, -0.07633961402489065, 0.0003669046422588491, -0.11776346021014153, -0.31869578506867186, 0.12529766935203443, -0.03477293558562366, 0.01189578382002416, -0.09841248997112859, -0.06046253828349236, -0.05245371105445323, 0.048949324586004386, 0.1503399857744209, 0.02535431264740824, 0.14633179397733498, -0.19563418157295615, -0.08010125063385849, 0.4100964145961209, -0.13182727875466518, -0.22104491539752094, 0.15134158896752328, -0.12659508590020727, -0.09613762823342581, 0.09258612301679346, 0.15353848470079007, 0.14126904678713775, -0.10403797409791504, 0.193777689098807, 0.021556475687180165, 0.13492086625475191, 0.07828843809455355, 0.034221201512753686, 0.32082893709852317, 0.11826933626842763, 0.03051747268971021, 0.10394077725429958, -0.03851558571647652, -0.11934608993964775, -0.37142716710255524, -0.1515305813523793, -0.15344853414370566, 0.0725240306058359, -0.14932316385381464, -0.1514901331599767, 0.4304682036565843, 0.17217617405080193, 0.1967241824256413, 0.06272114842921217, 0.27550764375357567, 0.11284070079885075, 0.10273916908609464, 0.04673395476034172, 0.33050518828470293, 0.11772286463920549, 0.14087829010987601, -0.2589465122643823, -0.07065684500446316, 0.042009250593271596] |
710.2744 | Electromagnetic form factors of the Delta baryon | We develop a methodology that enables us to extract accurately the
electromagnetic Delta form factors and their momentum dependence. We test our
approach in the quenched approximation as a preparation for a study using
dynamical fermions. Our calculation of the four form factors covers pion masses
between about 410 MeV and 560 MeV on lattices with a size of 2.9 fm and a
lattice spacing 0.09 fm. From the form factors we are able to obtain estimates
of the magnetic moment and the charge radius of the Delta, which we compare to
existing experimental and theoretical results.Our non-zero result for the
electric quadrupole form factor signals a deformation of the Delta, pointing to
an oblate charge distribution.
| hep-lat hep-ph nucl-th | we develop a methodology that enables us to extract accurately the electromagnetic delta form factors and their momentum dependence we test our approach in the quenched approximation as a preparation for a study using dynamical fermions our calculation of the four form factors covers pion masses between about 410 mev and 560 mev on lattices with a size of 29 fm and a lattice spacing 009 fm from the form factors we are able to obtain estimates of the magnetic moment and the charge radius of the delta which we compare to existing experimental and theoretical resultsour nonzero result for the electric quadrupole form factor signals a deformation of the delta pointing to an oblate charge distribution | [['we', 'develop', 'a', 'methodology', 'that', 'enables', 'us', 'to', 'extract', 'accurately', 'the', 'electromagnetic', 'delta', 'form', 'factors', 'and', 'their', 'momentum', 'dependence', 'we', 'test', 'our', 'approach', 'in', 'the', 'quenched', 'approximation', 'as', 'a', 'preparation', 'for', 'a', 'study', 'using', 'dynamical', 'fermions', 'our', 'calculation', 'of', 'the', 'four', 'form', 'factors', 'covers', 'pion', 'masses', 'between', 'about', '410', 'mev', 'and', '560', 'mev', 'on', 'lattices', 'with', 'a', 'size', 'of', '29', 'fm', 'and', 'a', 'lattice', 'spacing', '009', 'fm', 'from', 'the', 'form', 'factors', 'we', 'are', 'able', 'to', 'obtain', 'estimates', 'of', 'the', 'magnetic', 'moment', 'and', 'the', 'charge', 'radius', 'of', 'the', 'delta', 'which', 'we', 'compare', 'to', 'existing', 'experimental', 'and', 'theoretical', 'resultsour', 'nonzero', 'result', 'for', 'the', 'electric', 'quadrupole', 'form', 'factor', 'signals', 'a', 'deformation', 'of', 'the', 'delta', 'pointing', 'to', 'an', 'oblate', 'charge', 'distribution']] | [-0.09915266663799238, 0.15857531117092774, -0.08474985785527617, 0.06217575823872262, -0.045512364296198815, -0.058178222094439604, 0.1168908600990947, 0.37319533385209036, -0.1871060337871313, -0.33222818578808355, 0.022176488783234395, -0.3069773060070653, -0.06415633142440237, 0.16910954350685206, 0.048120327898834504, 0.01832506737202151, 0.015120082340824107, 0.02498853248026636, -0.1328563684434431, -0.16962039390873387, 0.29280539689402485, 0.018305774877627946, 0.2513882137166384, 0.1104055964288453, 0.04757502953657228, -0.0036053391547602974, 0.01781863371371968, -0.022928127851814795, -0.18445505228314726, 0.12278294060220066, 0.162408714220485, 0.02176491929214193, 0.20119063514006189, -0.3439840640649836, -0.11718093952697375, 0.05478737912037306, 0.10103879255067526, 0.1095820017125155, -0.01624551695337694, -0.2624839286252251, 0.08807771427668312, -0.18678201579003254, -0.1899928542194315, -0.12433922167421661, 0.019809408037740197, 0.015325645906213894, -0.3484907471933044, 0.11001903675178178, 0.036784398483667664, 0.035847058360520594, -0.1013518305352101, -0.1978256577052749, 0.03646141816026125, 0.1389927467984012, 0.07106649288091745, 0.08426911474412514, 0.14317463144548556, -0.093296563372207, -0.06599138606276013, 0.4095227176912575, -0.061017039131460726, -0.18151233194825742, 0.10930039152566694, -0.18228008108149862, -0.08721277441801582, 0.1291074065857718, 0.19219689841907567, 0.08214950759031484, -0.14012844301760197, 0.016465058277110353, -0.01607301924875181, 0.23574039425987464, 0.07352310274608242, 0.01596751657083758, 0.21112101182787338, 0.1614312982966757, 0.014879606497020293, 0.08890246684288877, -0.14491287286345583, -0.06967094251249209, -0.28771698628661707, -0.1011942613344544, -0.14792128141897803, 0.11602262260479869, -0.12634232213634114, -0.14483583888484755, 0.40112104226285833, 0.1404973706150921, 0.24243022356596258, 0.028350292650274295, 0.2699452038122039, 0.07668895424347626, 0.09629141225909385, 0.06745980182686487, 0.23519334190676355, 0.20168494695845324, 0.07755822808935474, -0.24908169652295545, -0.04025700135538594, 0.03284975062482632] |
710.2745 | Two-dimensional multisolitons and azimuthons in Bose-Einstein
condensates with attraction | We present spatially localized nonrotating and rotating (azimuthon)
multisolitons in the two-dimensional (2D) ("pancake-shaped configuration")
Bose-Einstein condensate (BEC) with attractive interaction. By means of a
linear stability analysis, we investigate the stability of these structures and
show that rotating dipole solitons are stable provided that the number of atoms
is small enough. The results were confirmed by direct numerical simulations of
the 2D Gross-Pitaevskii equation.
| nlin.PS | we present spatially localized nonrotating and rotating azimuthon multisolitons in the twodimensional 2d pancakeshaped configuration boseeinstein condensate bec with attractive interaction by means of a linear stability analysis we investigate the stability of these structures and show that rotating dipole solitons are stable provided that the number of atoms is small enough the results were confirmed by direct numerical simulations of the 2d grosspitaevskii equation | [['we', 'present', 'spatially', 'localized', 'nonrotating', 'and', 'rotating', 'azimuthon', 'multisolitons', 'in', 'the', 'twodimensional', '2d', 'pancakeshaped', 'configuration', 'boseeinstein', 'condensate', 'bec', 'with', 'attractive', 'interaction', 'by', 'means', 'of', 'a', 'linear', 'stability', 'analysis', 'we', 'investigate', 'the', 'stability', 'of', 'these', 'structures', 'and', 'show', 'that', 'rotating', 'dipole', 'solitons', 'are', 'stable', 'provided', 'that', 'the', 'number', 'of', 'atoms', 'is', 'small', 'enough', 'the', 'results', 'were', 'confirmed', 'by', 'direct', 'numerical', 'simulations', 'of', 'the', '2d', 'grosspitaevskii', 'equation']] | [-0.20155597384884738, 0.1637777433730662, -0.030842897611168714, 0.04521385446513215, -0.0018534267464509378, -0.12899575459126097, -0.03763384123404439, 0.3719732509782681, -0.18082852504717617, -0.2248120475273866, 0.052751838983609696, -0.2562878134445502, -0.1336331281381158, 0.16549838153430477, 0.10050941752986266, 0.09624680216209247, 0.08835047486309822, -0.039084261899384166, -0.05567271277451744, -0.23574664636622542, 0.34829616838743765, 0.006859554422016328, 0.2644868901285988, -0.0010692837146612313, 0.032687358751606485, -0.038931616431532, 0.05502948024525092, 0.06784608851974973, -0.21953735766471186, 0.07039216131088324, 0.16617498468840494, -0.009268432511733128, 0.23876741955486627, -0.4928128858311818, -0.22990333638512173, 0.046422234184753434, 0.22006887841898087, 0.22658303992536205, -0.15088234095332714, -0.3651676350488113, 0.06050252844221317, -0.14865625728494847, -0.22294298221285527, -0.17478392513898702, 0.022933100450497408, 0.1571675723991715, -0.2489667726537356, 0.1266956905189615, 0.07755781988111826, 0.04577878111830125, -0.14608727793137616, -0.02609792986454872, -0.07081252524915796, 0.0004339539392206531, 0.005910475433875735, -0.02699355869195782, 0.07857687816453668, -0.12571015155945833, -0.035814183112233874, 0.39155781741898793, -0.1326196081076677, -0.20740862521701134, 0.21421482091268096, -0.16385868412370866, 0.010204974966696822, 0.15970611506356644, 0.13209502729229056, 0.14529360806426175, -0.07338871791367778, 0.05259423492870365, -0.1226025628642394, 0.20242327831398982, 0.09674640993516033, -0.0019426562823355198, 0.30188182867490326, 0.2141871034525908, -0.0141065850137518, 0.1911001672860808, -0.11185474395751953, -0.15906032983643503, -0.24572190516270123, -0.11722217392749511, -0.2023187154617447, 0.007264945256667069, -0.07150690216266621, -0.16867318858320896, 0.34396231586758336, 0.09066672855988145, 0.14865195816382765, -0.017659265017853334, 0.27456640254419584, 0.10015917365940717, -0.02402949846134736, 0.058506291065938194, 0.31948232285391825, 0.19065530447360987, 0.07263742501202684, -0.2771281795361294, -0.1119253397704317, 0.07705686860359633] |
710.2746 | Kullback Leibler property of kernel mixture priors in Bayesian density
estimation | Positivity of the prior probability of Kullback-Leibler neighborhood around
the true density, commonly known as the Kullback-Leibler property, plays a
fundamental role in posterior consistency. A popular prior for Bayesian
estimation is given by a Dirichlet mixture, where the kernels are chosen
depending on the sample space and the class of densities to be estimated. The
Kullback-Leibler property of the Dirichlet mixture prior has been shown for
some special kernels like the normal density or Bernstein polynomial, under
appropriate conditions. In this paper, we obtain easily verifiable sufficient
conditions, under which a prior obtained by mixing a general kernel possesses
the Kullback-Leibler property. We study a wide variety of kernel used in
practice, including the normal, $t$, histogram, gamma, Weibull densities and so
on, and show that the Kullback-Leibler property holds if some easily verifiable
conditions are satisfied at the true density. This gives a catalog of
conditions required for the Kullback-Leibler property, which can be readily
used in applications.
| math.ST stat.TH | positivity of the prior probability of kullbackleibler neighborhood around the true density commonly known as the kullbackleibler property plays a fundamental role in posterior consistency a popular prior for bayesian estimation is given by a dirichlet mixture where the kernels are chosen depending on the sample space and the class of densities to be estimated the kullbackleibler property of the dirichlet mixture prior has been shown for some special kernels like the normal density or bernstein polynomial under appropriate conditions in this paper we obtain easily verifiable sufficient conditions under which a prior obtained by mixing a general kernel possesses the kullbackleibler property we study a wide variety of kernel used in practice including the normal t histogram gamma weibull densities and so on and show that the kullbackleibler property holds if some easily verifiable conditions are satisfied at the true density this gives a catalog of conditions required for the kullbackleibler property which can be readily used in applications | [['positivity', 'of', 'the', 'prior', 'probability', 'of', 'kullbackleibler', 'neighborhood', 'around', 'the', 'true', 'density', 'commonly', 'known', 'as', 'the', 'kullbackleibler', 'property', 'plays', 'a', 'fundamental', 'role', 'in', 'posterior', 'consistency', 'a', 'popular', 'prior', 'for', 'bayesian', 'estimation', 'is', 'given', 'by', 'a', 'dirichlet', 'mixture', 'where', 'the', 'kernels', 'are', 'chosen', 'depending', 'on', 'the', 'sample', 'space', 'and', 'the', 'class', 'of', 'densities', 'to', 'be', 'estimated', 'the', 'kullbackleibler', 'property', 'of', 'the', 'dirichlet', 'mixture', 'prior', 'has', 'been', 'shown', 'for', 'some', 'special', 'kernels', 'like', 'the', 'normal', 'density', 'or', 'bernstein', 'polynomial', 'under', 'appropriate', 'conditions', 'in', 'this', 'paper', 'we', 'obtain', 'easily', 'verifiable', 'sufficient', 'conditions', 'under', 'which', 'a', 'prior', 'obtained', 'by', 'mixing', 'a', 'general', 'kernel', 'possesses', 'the', 'kullbackleibler', 'property', 'we', 'study', 'a', 'wide', 'variety', 'of', 'kernel', 'used', 'in', 'practice', 'including', 'the', 'normal', 't', 'histogram', 'gamma', 'weibull', 'densities', 'and', 'so', 'on', 'and', 'show', 'that', 'the', 'kullbackleibler', 'property', 'holds', 'if', 'some', 'easily', 'verifiable', 'conditions', 'are', 'satisfied', 'at', 'the', 'true', 'density', 'this', 'gives', 'a', 'catalog', 'of', 'conditions', 'required', 'for', 'the', 'kullbackleibler', 'property', 'which', 'can', 'be', 'readily', 'used', 'in', 'applications']] | [-0.05181972689752001, 0.06552243874175474, -0.13433285076753237, 0.13783831895998447, -0.07936027855612338, -0.1291913531080354, 0.02809223501899396, 0.39332682981621475, -0.2823203982785344, -0.2564092840446392, 0.1215952534788812, -0.19507606802653754, -0.10849221863172716, 0.177443624647276, -0.10756299717177172, 0.13557486482022796, 0.054706656065536666, 0.10003078742302023, -0.10825686088355724, -0.23846568634107826, 0.3426125714322552, 0.045646778406808156, 0.3208679970179219, 0.0327937675981957, 0.09791324729885673, -0.010492783063091338, 0.015119406858866568, -0.005241482271412678, -0.1845976608152796, 0.09174535765960172, 0.23947999207957765, 0.16194019802933327, 0.308546777733136, -0.35668921940355175, -0.2391783341881819, 0.1941191778758366, 0.08379789105092642, 0.006537207520159427, -0.02664124747243477, -0.2873047459986992, 0.09264623139752075, -0.13799073545378632, -0.13418632099637762, -0.09286638744924858, -0.029475604006438515, 0.053202201318345035, -0.3856545404298231, 0.12190628525568173, 0.09476092171971687, 0.037585489724733634, -0.019150883896509187, -0.1682490988569043, 0.004985930418479256, 0.06088997030019527, 0.04469830968155293, 0.013469440281187416, 0.11452611373206309, -0.1354878500686027, -0.0170662418975553, 0.3327413246966898, -0.05262723572086543, -0.2439126916229725, 0.16882632583583473, -0.12673811411950736, -0.1519592674667365, 0.07510726449763752, 0.13004302165354603, 0.12687557720128098, -0.20510271699749866, 0.1268535259168857, -0.07369982031377731, 0.09382974905020092, 0.11269868151430273, 0.018663774762899266, 0.16395917431800627, 0.08368308532226365, 0.1106027781177545, 0.16507774441415676, -0.10063974361110013, -0.09902716551150662, -0.3402130740345456, -0.16980542524543124, -0.24558404616545887, 0.01137572395382449, -0.13032442246303616, -0.18959536764359655, 0.3431423986708978, 0.1327148358017439, 0.20593711417459418, 0.07560326469538267, 0.23071747998474165, 0.13801813898935505, 0.05175117388644139, 0.09685790927906054, 0.16364145687730342, 0.15074322169239168, 0.021964773314539342, -0.13086874414875638, 0.19913959905388764, 0.056548707364709114] |
710.2747 | Simulations of the consequences of tongue surgery on tongue mobility:
implications for speech production in post-surgery conditions | This paper presents simulations of the impact of tongue surgery on tongue
movements and on speech articulation. For this, a 3D biomechanical Finite
Element (FE) model of the tongue is used. Muscles are represented within the FE
structure by specific subsets of elements. The tongue model is inserted in the
upper airways including jaw, palate and pharyngeal walls. Two examples of
tongue surgery, which are quite common in the treatment of cancers of the oral
cavity are modelled: hemiglossectomy and large resection of the mouth floor.
Three kinds of reconstruction are also modelled, assuming flaps with a low,
medium or high stiffnesses. The impact of the surgery without any
reconstruction and with the three different reconstructions is quantitatively
measured and compared during simulated speech production sequences. More
precisely, differences in global 3D tongue shape and in velocity patterns
during tongue displacements are evaluated.
| physics.med-ph | this paper presents simulations of the impact of tongue surgery on tongue movements and on speech articulation for this a 3d biomechanical finite element fe model of the tongue is used muscles are represented within the fe structure by specific subsets of elements the tongue model is inserted in the upper airways including jaw palate and pharyngeal walls two examples of tongue surgery which are quite common in the treatment of cancers of the oral cavity are modelled hemiglossectomy and large resection of the mouth floor three kinds of reconstruction are also modelled assuming flaps with a low medium or high stiffnesses the impact of the surgery without any reconstruction and with the three different reconstructions is quantitatively measured and compared during simulated speech production sequences more precisely differences in global 3d tongue shape and in velocity patterns during tongue displacements are evaluated | [['this', 'paper', 'presents', 'simulations', 'of', 'the', 'impact', 'of', 'tongue', 'surgery', 'on', 'tongue', 'movements', 'and', 'on', 'speech', 'articulation', 'for', 'this', 'a', '3d', 'biomechanical', 'finite', 'element', 'fe', 'model', 'of', 'the', 'tongue', 'is', 'used', 'muscles', 'are', 'represented', 'within', 'the', 'fe', 'structure', 'by', 'specific', 'subsets', 'of', 'elements', 'the', 'tongue', 'model', 'is', 'inserted', 'in', 'the', 'upper', 'airways', 'including', 'jaw', 'palate', 'and', 'pharyngeal', 'walls', 'two', 'examples', 'of', 'tongue', 'surgery', 'which', 'are', 'quite', 'common', 'in', 'the', 'treatment', 'of', 'cancers', 'of', 'the', 'oral', 'cavity', 'are', 'modelled', 'hemiglossectomy', 'and', 'large', 'resection', 'of', 'the', 'mouth', 'floor', 'three', 'kinds', 'of', 'reconstruction', 'are', 'also', 'modelled', 'assuming', 'flaps', 'with', 'a', 'low', 'medium', 'or', 'high', 'stiffnesses', 'the', 'impact', 'of', 'the', 'surgery', 'without', 'any', 'reconstruction', 'and', 'with', 'the', 'three', 'different', 'reconstructions', 'is', 'quantitatively', 'measured', 'and', 'compared', 'during', 'simulated', 'speech', 'production', 'sequences', 'more', 'precisely', 'differences', 'in', 'global', '3d', 'tongue', 'shape', 'and', 'in', 'velocity', 'patterns', 'during', 'tongue', 'displacements', 'are', 'evaluated']] | [-0.07087084309371765, 0.11461564445290977, -0.034809299009281515, 0.04629840932681527, -0.02156159323869719, -0.12526929800556055, -0.028754442767895967, 0.404418930811414, -0.22838137109278583, -0.30628220980796755, 0.10340861538359501, -0.3059651994238227, -0.1703221519366169, 0.20875585388267595, -0.13716110758135805, 0.03209817965357551, 0.09621893059262271, 0.04477427258405467, -0.01883632506401291, -0.16763871769555255, 0.27076062963108044, -0.01663729303736161, 0.2799605867943504, 0.04785802347821669, 0.12145165917316032, -0.041394728768787435, -0.039778328196942464, 0.022347838296489397, -0.11397942992150259, 0.11999485294767459, 0.22666235621625058, 0.10803619795806811, 0.21809952328814536, -0.4774843457115578, -0.22120716761794387, 0.04137195225372176, 0.13405586676475342, 0.06767878627066802, -0.03451874722699179, -0.3248760670515328, 0.06863598924287607, -0.11804813607743429, -0.05877766805425496, -0.016127918964960207, 0.0021438173733284356, 0.03757689391348091, -0.248784153937431, 0.09431440347594924, 0.00828085666601087, 0.18522494366949155, -0.10586186289347865, -0.07740977978412535, -0.0795361245807111, 0.24317469964915572, 0.04582659073639661, 0.02026691055253253, 0.21341811388429308, -0.16707678261527817, -0.048852939424301745, 0.3939645313723406, -0.013021944569502498, -0.2407081445021568, 0.19565065775204346, -0.17493279186785746, -0.04694573294443511, 0.1578763820178492, 0.18626560302923473, 0.08257213843540406, -0.14025319207658085, -0.01994079592843494, 0.02449773795719088, 0.16172215616835517, 0.11852593368253815, -0.09271039211676574, 0.17375121977258945, 0.1928197079080708, -0.06630115463352487, 0.13830884974400684, -0.1693310261721244, -0.03202981732024903, -0.26340262034357015, -0.1368716892386249, -0.11679466363554164, -0.056826605444423965, -0.13039242615861799, -0.19724483434504397, 0.418520965862652, 0.10544526992985917, 0.19058287508038044, 0.009376750441602575, 0.329420772446713, -0.0022227365333377055, 0.06503359069018855, -0.004208400102765103, 0.20647962022782632, 0.04792552867832161, 0.07660378570156828, -0.21296792402273226, 0.12714934273963976, 0.09038491900616759] |
710.2748 | Algebraic curves for commuting elements in the q-deformed Heisenberg
algebra | In this paper we extend the eliminant construction of Burchnall and Chaundy
for commuting differential operators in the Heisenberg algebra to the
q-deformed Heisenberg algebra and show that it again provides annihilating
curves for commuting elements, provided q satisfies a natural condition. As a
side result we obtain estimates on the dimensions of the eigenspaces of
elements of this algebra in its faithful module of Laurent series.
| math.RA math.QA | in this paper we extend the eliminant construction of burchnall and chaundy for commuting differential operators in the heisenberg algebra to the qdeformed heisenberg algebra and show that it again provides annihilating curves for commuting elements provided q satisfies a natural condition as a side result we obtain estimates on the dimensions of the eigenspaces of elements of this algebra in its faithful module of laurent series | [['in', 'this', 'paper', 'we', 'extend', 'the', 'eliminant', 'construction', 'of', 'burchnall', 'and', 'chaundy', 'for', 'commuting', 'differential', 'operators', 'in', 'the', 'heisenberg', 'algebra', 'to', 'the', 'qdeformed', 'heisenberg', 'algebra', 'and', 'show', 'that', 'it', 'again', 'provides', 'annihilating', 'curves', 'for', 'commuting', 'elements', 'provided', 'q', 'satisfies', 'a', 'natural', 'condition', 'as', 'a', 'side', 'result', 'we', 'obtain', 'estimates', 'on', 'the', 'dimensions', 'of', 'the', 'eigenspaces', 'of', 'elements', 'of', 'this', 'algebra', 'in', 'its', 'faithful', 'module', 'of', 'laurent', 'series']] | [-0.1635471096387439, 0.06625076056694362, -0.0809714819179542, 0.02915247572488638, -0.09354525451798604, -0.10093569230816479, -0.01823301763280726, 0.2964045757170655, -0.31745479219773814, -0.1671707849643791, 0.10155424487658901, -0.2774769558168169, -0.13930691875962178, 0.219314117860327, -0.1286412863505643, -0.011338882181279139, 0.09329257174325523, 0.11846929899792173, -0.14214062842943553, -0.24993438184011116, 0.380525807029943, -0.012204449665524177, 0.183544780492588, 0.0047651280009590865, 0.17002961609456965, 0.05372807907579995, -0.017997716692512603, -0.0781039180539882, -0.1598107385447591, 0.1524557203832847, 0.25412045263532385, 0.10162248892654012, 0.15025024291183522, -0.3811990976778429, -0.08680044314363596, 0.1424829093391882, 0.1584677652024956, 0.027286072484036878, -0.03334384352323224, -0.27731560295753516, 0.06219862384457531, -0.24660984112589218, -0.16661428906885323, -0.09500015817527006, 0.06924466574703579, -0.027762428575904288, -0.3247365889264576, 0.06431106717756657, 0.15426192313099085, 0.12543800620556766, -0.07844966142820611, -0.09501279445031463, -0.049633236991158174, 0.08630222684022651, -0.04484214450218784, -0.015767021716308238, 0.04455630103153969, -0.058377061032259196, -0.15007498153527057, 0.3357459384002792, -0.05319749511806155, -0.2220862276692277, 0.07654083683850493, -0.2074335828256696, -0.1870091224172667, 0.01242542738762142, 0.08768747446697149, 0.07400468681285631, -0.07459147975071152, 0.2015884991773446, -0.13446841006681545, 0.0669676595812302, 0.0634073120639173, 0.03271574602782059, 0.09733028987895197, 0.07819211876381245, 0.09806568869181088, 0.14593702374172132, 0.06896621502810783, -0.04382529228564296, -0.3720286589727473, -0.24458509540826484, -0.13871126171590678, 0.09616472310414399, -0.12309967317060679, -0.15824835950425312, 0.4174886782333922, 0.14717282617200556, 0.2042698730617317, 0.08533488046864408, 0.19782454425941653, 0.14757574114552352, 0.09456423595686679, 0.04000262279626427, 0.12656960049783117, 0.2616694787266984, 0.07274334041624149, -0.15968464818824804, -0.05612247689529808, 0.21951629183908453] |
710.2749 | Coupling of Surface and Volume Dipole Oscillations in C-60 Molecules | We first give a short review of the ``local-current approximation'' (LCA),
derived from a general variation principle, which serves as a semiclassical
description of strongly collective excitations in finite fermion systems
starting from their quantum-mechanical mean-field ground state. We illustrate
it for the example of coupled translational and compressional dipole
excitations in metal clusters. We then discuss collective electronic dipole
excitations in C$_{60}$ molecules (Buckminster fullerenes). We show that the
coupling of the pure translational mode (``surface plasmon'') with
compressional volume modes in the semiclasscial LCA yields semi-quantitative
agreement with microscopic time-dependent density functional (TDLDA)
calculations, while both theories yield qualitative agreement with the recent
experimental observation of a ``volume plasmon''.
| physics.atm-clus nucl-th physics.atom-ph physics.flu-dyn | we first give a short review of the localcurrent approximation lca derived from a general variation principle which serves as a semiclassical description of strongly collective excitations in finite fermion systems starting from their quantummechanical meanfield ground state we illustrate it for the example of coupled translational and compressional dipole excitations in metal clusters we then discuss collective electronic dipole excitations in c_60 molecules buckminster fullerenes we show that the coupling of the pure translational mode surface plasmon with compressional volume modes in the semiclasscial lca yields semiquantitative agreement with microscopic timedependent density functional tdlda calculations while both theories yield qualitative agreement with the recent experimental observation of a volume plasmon | [['we', 'first', 'give', 'a', 'short', 'review', 'of', 'the', 'localcurrent', 'approximation', 'lca', 'derived', 'from', 'a', 'general', 'variation', 'principle', 'which', 'serves', 'as', 'a', 'semiclassical', 'description', 'of', 'strongly', 'collective', 'excitations', 'in', 'finite', 'fermion', 'systems', 'starting', 'from', 'their', 'quantummechanical', 'meanfield', 'ground', 'state', 'we', 'illustrate', 'it', 'for', 'the', 'example', 'of', 'coupled', 'translational', 'and', 'compressional', 'dipole', 'excitations', 'in', 'metal', 'clusters', 'we', 'then', 'discuss', 'collective', 'electronic', 'dipole', 'excitations', 'in', 'c_60', 'molecules', 'buckminster', 'fullerenes', 'we', 'show', 'that', 'the', 'coupling', 'of', 'the', 'pure', 'translational', 'mode', 'surface', 'plasmon', 'with', 'compressional', 'volume', 'modes', 'in', 'the', 'semiclasscial', 'lca', 'yields', 'semiquantitative', 'agreement', 'with', 'microscopic', 'timedependent', 'density', 'functional', 'tdlda', 'calculations', 'while', 'both', 'theories', 'yield', 'qualitative', 'agreement', 'with', 'the', 'recent', 'experimental', 'observation', 'of', 'a', 'volume', 'plasmon']] | [-0.1276648123621602, 0.18232738238505342, -0.10664966608482328, 0.06858047184280373, -0.027146345819346607, -0.09471432143314318, 0.07021318405697291, 0.36332848044112326, -0.18860390525395898, -0.244618194330145, -0.05748652979646894, -0.3175244712609459, -0.15221118466632272, 0.13098062023478138, 0.04494862018830397, 0.02237422329542989, 0.06606366499538788, 0.03399823134849694, -0.050571160194125366, -0.13737918347628278, 0.2258627583770166, 0.023831673779270864, 0.3170795954086564, 0.08067241380499168, 0.05119087917899544, 0.017057702935893426, 0.05872098952955143, 0.03354779024693099, -0.1732906749665827, 0.12500977998186666, 0.2770112902434035, -0.026200867276003754, 0.19179501575417818, -0.5129664517261765, -0.21318783964750104, -0.02240021989088167, 0.14461741728538816, 0.22417621916604483, -0.07246750049737537, -0.2912339277480814, -0.027937133140353995, -0.18580488836900755, -0.17415084151805124, -0.14521194051379677, -0.008689833305437456, 0.04051140784233047, -0.21787457905117083, 0.14284706536722794, 0.019396212411282414, 0.08015646666271178, -0.13871283803071657, -0.12663986080812967, -0.03150563045320186, 0.03601266676560044, 0.060406251658092845, 0.02218630558451299, 0.1566677902444181, -0.09810813200998712, -0.09972256005275995, 0.41738256614824587, -0.12551553361752832, -0.16147722039922055, 0.19972074835095555, -0.16548136003654113, -0.11674135946668684, 0.1682366667315364, 0.10608950555271639, 0.10683958132497288, -0.11321982356127012, 0.07353152428827757, -0.04793453361013566, 0.18011293030259284, 0.02112286647104404, 0.09911904874805424, 0.21409066860056059, 0.18086253413930536, 0.01113036439161409, 0.11636005971813575, -0.05280771069651977, -0.11995720511979678, -0.33179156234572554, -0.12745440955623052, -0.18963266406075988, 0.04718023888470436, -0.05456540294147668, -0.19089338159696623, 0.3908048946029422, 0.06770108978856694, 0.13405722613785076, 0.04550949962365187, 0.23542075825389475, 0.11880772523476149, 0.00344815287866037, 0.014135451880495318, 0.2708388307724487, 0.20607238641770725, 0.042911590648476376, -0.32646448672325773, -0.025370688481383363, 0.06712570858653635] |
710.275 | Transition from galactic to extragalactic cosmic rays | The transition from galactic to extragalactic cosmic rays is discussed. One
of critical indications for transition is given by the Standard Model of
Galactic cosmic rays, according to which the maximum energy of acceleration for
iron nuclei is of order of $E_{\rm Fe}^{\rm max} \approx 1\times 10^{17}$ eV.
At $E > E_{\rm Fe}^{\rm max}$ the spectrum is predicted to be very steep and
thus the Standard Model favours the transition at energy not much higher than
$E_{\rm Fe}^{\rm max}$. As observations are concerned there are two signatures
of transition: change of energy spectra and elongation rate (depth of shower
maximum in the atmosphere $X_{\rm max}$ as function of energy). Three models of
transition are discussed: dip-based model, mixed composition model and ankle
model. In the latter model the transition occurs at the observed spectral
feature, ankle, which starts at $E_a \approx 1\times 10^{19}$ eV and is
characterised by change of mass compostion from galactic iron to extragalactic
protons. In the dip model the transition occures at the second knee observed at
energy $(4 -8)\times 10^{17}$ eV and is characterised by change of mass
composition from galactic iron to extragalactic protons. The mixed composition
model describes transition at $E \sim 3\times 10^{18}$ eV with mass composition
changing from galactic iron to extragactic mixed composition of different
nuclei. These models are confronted with observational data on spectra and
elongation rates from different experiments, including Auger.
| astro-ph | the transition from galactic to extragalactic cosmic rays is discussed one of critical indications for transition is given by the standard model of galactic cosmic rays according to which the maximum energy of acceleration for iron nuclei is of order of e_rm ferm max approx 1times 1017 ev at e e_rm ferm max the spectrum is predicted to be very steep and thus the standard model favours the transition at energy not much higher than e_rm ferm max as observations are concerned there are two signatures of transition change of energy spectra and elongation rate depth of shower maximum in the atmosphere x_rm max as function of energy three models of transition are discussed dipbased model mixed composition model and ankle model in the latter model the transition occurs at the observed spectral feature ankle which starts at e_a approx 1times 1019 ev and is characterised by change of mass compostion from galactic iron to extragalactic protons in the dip model the transition occures at the second knee observed at energy 4 8times 1017 ev and is characterised by change of mass composition from galactic iron to extragalactic protons the mixed composition model describes transition at e sim 3times 1018 ev with mass composition changing from galactic iron to extragactic mixed composition of different nuclei these models are confronted with observational data on spectra and elongation rates from different experiments including auger | [['the', 'transition', 'from', 'galactic', 'to', 'extragalactic', 'cosmic', 'rays', 'is', 'discussed', 'one', 'of', 'critical', 'indications', 'for', 'transition', 'is', 'given', 'by', 'the', 'standard', 'model', 'of', 'galactic', 'cosmic', 'rays', 'according', 'to', 'which', 'the', 'maximum', 'energy', 'of', 'acceleration', 'for', 'iron', 'nuclei', 'is', 'of', 'order', 'of', 'e_rm', 'ferm', 'max', 'approx', '1times', '1017', 'ev', 'at', 'e', 'e_rm', 'ferm', 'max', 'the', 'spectrum', 'is', 'predicted', 'to', 'be', 'very', 'steep', 'and', 'thus', 'the', 'standard', 'model', 'favours', 'the', 'transition', 'at', 'energy', 'not', 'much', 'higher', 'than', 'e_rm', 'ferm', 'max', 'as', 'observations', 'are', 'concerned', 'there', 'are', 'two', 'signatures', 'of', 'transition', 'change', 'of', 'energy', 'spectra', 'and', 'elongation', 'rate', 'depth', 'of', 'shower', 'maximum', 'in', 'the', 'atmosphere', 'x_rm', 'max', 'as', 'function', 'of', 'energy', 'three', 'models', 'of', 'transition', 'are', 'discussed', 'dipbased', 'model', 'mixed', 'composition', 'model', 'and', 'ankle', 'model', 'in', 'the', 'latter', 'model', 'the', 'transition', 'occurs', 'at', 'the', 'observed', 'spectral', 'feature', 'ankle', 'which', 'starts', 'at', 'e_a', 'approx', '1times', '1019', 'ev', 'and', 'is', 'characterised', 'by', 'change', 'of', 'mass', 'compostion', 'from', 'galactic', 'iron', 'to', 'extragalactic', 'protons', 'in', 'the', 'dip', 'model', 'the', 'transition', 'occures', 'at', 'the', 'second', 'knee', 'observed', 'at', 'energy', '4', '8times', '1017', 'ev', 'and', 'is', 'characterised', 'by', 'change', 'of', 'mass', 'composition', 'from', 'galactic', 'iron', 'to', 'extragalactic', 'protons', 'the', 'mixed', 'composition', 'model', 'describes', 'transition', 'at', 'e', 'sim', '3times', '1018', 'ev', 'with', 'mass', 'composition', 'changing', 'from', 'galactic', 'iron', 'to', 'extragactic', 'mixed', 'composition', 'of', 'different', 'nuclei', 'these', 'models', 'are', 'confronted', 'with', 'observational', 'data', 'on', 'spectra', 'and', 'elongation', 'rates', 'from', 'different', 'experiments', 'including', 'auger']] | [-0.018041834678484622, 0.253304331433272, 0.028156798500181317, 0.11342147606481924, 0.006290891459903082, -0.08370161814184038, 0.03313690370892268, 0.3941987953291124, -0.23666140037348826, -0.41314569671178747, -0.01447632947914286, -0.3737261928958558, 0.04076481776161518, 0.1718784422424569, 0.05104177215799494, -0.03893316307717194, -0.0252345494507084, 0.006150001110956398, -0.08383692394879516, -0.11789287876095786, 0.27286400680006256, 0.16692287238583164, 0.2374549275363275, 0.05758727496432946, 0.06125706621581957, -0.1123299315179328, 0.0422478286045152, -0.05715678080306495, -0.15472630476253718, 0.03471628830495685, 0.2350815796535363, 0.1018580217341441, 0.14558426803791302, -0.35088889390295247, -0.21398059772042857, 0.1201105591430284, 0.12076776721067402, -0.024993564289949803, -0.026925311509497448, -0.22878320965008553, 0.07473062164268118, -0.15339524460261011, -0.13443207889225936, 0.06490739352399215, -0.013026475825033855, 0.02434142969963527, -0.2463668348515756, 0.16778832638136001, 0.018368132990951688, 0.07526989296631782, -0.13274712749964285, -0.19101653417051814, -0.07568705107561235, 0.015112804212326827, 0.08578263547507371, 0.09136876280370726, 0.1738971015560445, -0.09544318954269178, -0.03834687012113533, 0.44561064067626105, -0.06990688904088171, 0.033825323465544586, 0.13297328526585253, -0.1928116074421618, -0.1412094384696188, 0.2270572063346357, 0.1395297529405658, 0.08137514930234725, -0.12149077833032308, 0.06792173656079853, 0.053201693698090774, 0.17826158512286094, 0.05239656133125801, -0.026421531754257117, 0.2698368964112856, 0.1719709043655398, 0.06204248534304021, 0.012074908653912683, -0.16804120178521492, -0.034675594294183446, -0.2613982340121666, -0.07173779554356004, -0.1602525774655888, 0.08979880855746382, -0.12229746323057011, -0.09950805767784993, 0.37755608272344265, 0.11873997050422899, 0.2550955670987414, 0.011521280673027495, 0.24183478656399784, 0.1294295363703653, 0.0339757025416729, 0.08617683401428912, 0.3194916828141007, 0.12976801998640805, 0.10265630823621062, -0.20529105892472527, 0.07049030462466993, 0.02777521672768429] |
710.2751 | A note on mean volume and surface densities for a class of
birth-and-growth stochastic processes | Many real phenomena may be modelled as locally finite unions of
$d$-dimensional time dependent random closed sets in $\mathbb{R}^d$, described
by birth-and-growth stochastic processes, so that their mean volume and surface
densities, as well as the so called mean \emph{extended} volume and surface
densities, may be studied in terms of relevant quantities characterizing the
process. We extend here known results in the Poissonian case to a wider class
of birth-and-growth stochastic processes, proving in particular the absolute
continuity of the random time of capture of a point $x\in\R^d$ by processes of
this class.
| math.PR | many real phenomena may be modelled as locally finite unions of ddimensional time dependent random closed sets in mathbbrd described by birthandgrowth stochastic processes so that their mean volume and surface densities as well as the so called mean emphextended volume and surface densities may be studied in terms of relevant quantities characterizing the process we extend here known results in the poissonian case to a wider class of birthandgrowth stochastic processes proving in particular the absolute continuity of the random time of capture of a point xinrd by processes of this class | [['many', 'real', 'phenomena', 'may', 'be', 'modelled', 'as', 'locally', 'finite', 'unions', 'of', 'ddimensional', 'time', 'dependent', 'random', 'closed', 'sets', 'in', 'mathbbrd', 'described', 'by', 'birthandgrowth', 'stochastic', 'processes', 'so', 'that', 'their', 'mean', 'volume', 'and', 'surface', 'densities', 'as', 'well', 'as', 'the', 'so', 'called', 'mean', 'emphextended', 'volume', 'and', 'surface', 'densities', 'may', 'be', 'studied', 'in', 'terms', 'of', 'relevant', 'quantities', 'characterizing', 'the', 'process', 'we', 'extend', 'here', 'known', 'results', 'in', 'the', 'poissonian', 'case', 'to', 'a', 'wider', 'class', 'of', 'birthandgrowth', 'stochastic', 'processes', 'proving', 'in', 'particular', 'the', 'absolute', 'continuity', 'of', 'the', 'random', 'time', 'of', 'capture', 'of', 'a', 'point', 'xinrd', 'by', 'processes', 'of', 'this', 'class']] | [-0.0798389099297985, 0.18991578912602797, -0.04841761445371254, 0.10085307236617917, -0.007002158761425044, -0.06058513628499162, 0.0441370335925791, 0.3397322313769931, -0.30655448631413523, -0.23881411135336886, 0.11214722338463029, -0.2189863235839913, -0.14850747507686415, 0.21285389745307545, -0.09474654546788623, 0.07345412702610095, -0.007966143149201589, 0.04034910086662539, -0.039628361164021395, -0.2389755315317582, 0.3174613264980175, 0.0038953539264458483, 0.22224299054372534, 0.04437879339531465, 0.10807277026626291, 0.0185203100053934, -0.060858907453435404, 0.11285670996913987, -0.1414094181680177, 0.06740300191105694, 0.2638841475289996, 0.08761168243263358, 0.2678503672121674, -0.4065482477026601, -0.28697711185261765, 0.16580263814533389, 0.13609320771447334, 0.05212253583495014, 0.005796113201687413, -0.2897407133607895, 0.05549893598322586, -0.11823518174670396, -0.17884938980162304, -0.06614571671572424, 0.051415586598738225, 0.12520868844923475, -0.24652598683111449, 0.08312169188052736, 0.11488770296101168, 0.03875844953181122, -0.048624666357633246, -0.11946081122764016, -0.03445565388337659, 0.12119769680461476, 0.0011146250778623927, 0.004452349417792854, 0.14241819170814368, -0.08902888519123638, -0.13326364882811104, 0.3836305892916136, -0.0924701102989255, -0.24325622413908282, 0.18219374007575453, -0.19166806223051203, -0.12961089714199944, 0.1386100425214697, 0.2154587815911259, 0.184856073770632, -0.19410007663311496, 0.13817991521993403, -0.03923397336746015, 0.05889544295684074, 0.06235154177392683, 0.05641829925939761, 0.1576792135664452, 0.14451488210221625, 0.07324746682656609, 0.126432054459558, -0.04502153550825452, -0.14451928559805877, -0.3448761718407754, -0.14688196124368777, -0.1964481737720029, 0.08351788536885814, -0.09247784905344679, -0.2365143613048619, 0.3123890964091525, 0.09090136351334231, 0.2297082369325943, 0.08804774076066992, 0.21910391415479363, 0.1562390049170923, 0.018572484255738316, 0.059426793803571056, 0.11710280787339934, 0.14287788855032094, 0.05267511251612857, -0.1258571727717075, 0.10103658470575527, 0.07918285515900421] |
710.2752 | Future plan for observation of cosmic gamma rays in the 100 TeV energy
region with the Tibet air shower array : simulation and sensitivity | The Tibet air shower array, which has an effective area of 37,000 square
meters and is located at 4300 m in altitude, has been observing air showers
induced by cosmic rays with energies above a few TeV. We have a plan to add a
large muon detector array to it for the purpose of increasing its sensitivity
to cosmic gamma rays in the 100 TeV energy region by discriminating them from
cosmic-ray hadrons. We have deduced the attainable sensitivity of the muon
detector array using our Monte Carlo simulation. We report here on the detailed
procedure of our Monte Carlo simulation.
| astro-ph | the tibet air shower array which has an effective area of 37000 square meters and is located at 4300 m in altitude has been observing air showers induced by cosmic rays with energies above a few tev we have a plan to add a large muon detector array to it for the purpose of increasing its sensitivity to cosmic gamma rays in the 100 tev energy region by discriminating them from cosmicray hadrons we have deduced the attainable sensitivity of the muon detector array using our monte carlo simulation we report here on the detailed procedure of our monte carlo simulation | [['the', 'tibet', 'air', 'shower', 'array', 'which', 'has', 'an', 'effective', 'area', 'of', '37000', 'square', 'meters', 'and', 'is', 'located', 'at', '4300', 'm', 'in', 'altitude', 'has', 'been', 'observing', 'air', 'showers', 'induced', 'by', 'cosmic', 'rays', 'with', 'energies', 'above', 'a', 'few', 'tev', 'we', 'have', 'a', 'plan', 'to', 'add', 'a', 'large', 'muon', 'detector', 'array', 'to', 'it', 'for', 'the', 'purpose', 'of', 'increasing', 'its', 'sensitivity', 'to', 'cosmic', 'gamma', 'rays', 'in', 'the', '100', 'tev', 'energy', 'region', 'by', 'discriminating', 'them', 'from', 'cosmicray', 'hadrons', 'we', 'have', 'deduced', 'the', 'attainable', 'sensitivity', 'of', 'the', 'muon', 'detector', 'array', 'using', 'our', 'monte', 'carlo', 'simulation', 'we', 'report', 'here', 'on', 'the', 'detailed', 'procedure', 'of', 'our', 'monte', 'carlo', 'simulation']] | [-0.06305223279678733, 0.23628286128569195, -0.04797411799467731, 0.10154340691555587, -0.0054744422657064876, -0.02450810808061373, -0.004948570826413608, 0.45537248095220856, -0.2008372664331726, -0.4466829967712707, 0.0580174050104832, -0.38664504288151713, 0.03080463591999937, 0.22161067720032343, 0.0657296884815914, 0.054878216400214626, 0.1369154839459484, -0.025967133116198353, -0.04681626695328125, -0.1944646425084165, 0.19323923842667942, 0.3089947394454981, 0.23499090967257277, 0.10726143848289284, 0.1864043403426093, -0.023722017352183412, -0.04502090372809089, -0.012930428549315375, -0.14814999322914105, 0.07775823233907322, 0.2691667482953076, 0.10823926570511765, 0.14612028768083246, -0.40103633810609285, -0.18784314879944713, 0.13335462038100945, 0.09952124244404385, 0.024680082330083713, -0.07853901782418869, -0.310470311644275, 0.11790171925826828, -0.22466742163431822, -0.16082699765626451, 0.05967756593138865, -0.0931162214607443, 0.007058865801053177, -0.2041896740620089, -0.029829738432562238, -0.06905716458464613, 0.12074388907576847, 0.025491151989824924, -0.19042537057089923, 0.06621648667675287, 0.0754894920864539, 0.08228586321364682, 0.08037846358861811, 0.162545960839137, -0.06750899510882279, -0.10786690775968946, 0.30838381063820114, -0.031188538380999966, -0.10620474947229175, 0.18227126563917662, -0.21992402164827995, -0.10964367406772413, 0.2741455864714514, 0.20165333612868103, 0.07970257426178691, -0.21973292772095687, 0.10694317449527414, -0.02089688217032258, 0.17071085885665058, 0.051458606431906175, -0.04333753083223975, 0.24419126816388995, 0.265509641000835, 0.12507741859108948, 0.12391867471102735, -0.2593948458610126, 0.02349683103419029, -0.3025958475905775, -0.11733427852170893, -0.19460224311817254, 0.10564039931355948, -0.06616721955104385, -0.10236558527916227, 0.39152827486395836, 0.15764410824671682, 0.1151733923666548, 0.023408654877814548, 0.3015208210390393, 0.0016638855887853568, 0.05224962649627192, 0.06826418552012874, 0.30556558196128597, 0.10764052341738255, 0.1282930622144722, -0.20704468221883152, 0.014105568644544571, 0.024986759058688537] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.