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711.4908 | Zeeman split lines in CP stars: a discovery of low-contrast fields in
slow rotators? | We show that high-resolution observations of resolved Zeeman split lines can
be used to obtain new constraints on the stellar magnetic field geometry. In
particular, the contrast of the field strength distribution over the stellar
surface can be deduced from the differential measurement of the second moment
of the pi and sigma Zeeman components. Our analysis of the triplet lines in
slowly rotating cool magnetic CP stars uncovers a surprisingly homogeneous
field structure, inconsistent with any low-order multipolar geometry.
| astro-ph | we show that highresolution observations of resolved zeeman split lines can be used to obtain new constraints on the stellar magnetic field geometry in particular the contrast of the field strength distribution over the stellar surface can be deduced from the differential measurement of the second moment of the pi and sigma zeeman components our analysis of the triplet lines in slowly rotating cool magnetic cp stars uncovers a surprisingly homogeneous field structure inconsistent with any loworder multipolar geometry | [['we', 'show', 'that', 'highresolution', 'observations', 'of', 'resolved', 'zeeman', 'split', 'lines', 'can', 'be', 'used', 'to', 'obtain', 'new', 'constraints', 'on', 'the', 'stellar', 'magnetic', 'field', 'geometry', 'in', 'particular', 'the', 'contrast', 'of', 'the', 'field', 'strength', 'distribution', 'over', 'the', 'stellar', 'surface', 'can', 'be', 'deduced', 'from', 'the', 'differential', 'measurement', 'of', 'the', 'second', 'moment', 'of', 'the', 'pi', 'and', 'sigma', 'zeeman', 'components', 'our', 'analysis', 'of', 'the', 'triplet', 'lines', 'in', 'slowly', 'rotating', 'cool', 'magnetic', 'cp', 'stars', 'uncovers', 'a', 'surprisingly', 'homogeneous', 'field', 'structure', 'inconsistent', 'with', 'any', 'loworder', 'multipolar', 'geometry']] | [-0.14477982032525388, 0.12715269444227406, -0.06676262568776743, 0.0661586403045096, -0.12981852221809612, -0.08428397327307847, 0.002591518111249927, 0.3609391369656483, -0.248285824774847, -0.337583407476733, 0.012650714323655525, -0.19365145464698913, -0.06074496522498659, 0.2041247251268205, 0.0020226489728953265, -0.06885568778726119, 0.0508636083907766, 0.015428315901162126, -0.09348699329951424, -0.1999904353000648, 0.3626116658266209, -0.015082429343675369, 0.18685619518915308, -0.018924287013426612, 0.014222788217748646, -0.05358090915988329, -0.015448883659194541, 0.08733938526527225, -0.11086627360644435, 0.08666861120941519, 0.20407889355445588, 0.08010683769265874, 0.13965659272927744, -0.4164358024732976, -0.2127955902627186, 0.04885890179231197, 0.1659464266481279, 0.12435027348655689, -0.029295434557856357, -0.30734196783904033, 0.03424648245018494, -0.0859727185584982, -0.15912806391244447, -0.07471573047481384, -0.018135167718747087, 0.03801194896709315, -0.2926385104987782, 0.06870626117533096, 0.06832741602335739, 0.15016154782799415, -0.09738253988178235, -0.12042440433361673, -0.06508739155575727, 0.08405351014572042, 0.049726685273307786, 0.07202687240618316, 0.1352416844743811, -0.1268791796144428, -0.05336578825158598, 0.3523043498302562, -0.16889148194908718, -0.1273798412301495, 0.1322978500606893, -0.23514594115269713, -0.12968676238426868, 0.17179027730834823, 0.16589124328633653, 0.1538315929496024, -0.10659489447112443, 0.0878933479506935, -0.04181902333386714, 0.21128768134785555, 0.045166057575776984, 0.005834690919971164, 0.2963451272041737, 0.0729904362159675, 0.05286385181064856, 0.10347561661266026, -0.22920753485287387, -0.060155286489030985, -0.27525566315537764, -0.13971891161054373, -0.14609752834149742, 0.08234235017908195, -0.11167232114567474, -0.1598527955209624, 0.39282383908491136, 0.10424689512369753, 0.21132237451221747, -0.03262336084124031, 0.3129453588324257, 0.1504712079642812, 0.09876845041997259, 0.07615805887676115, 0.3051695524938876, 0.27914633230553776, 0.09397521889562235, -0.3067072567922694, 0.013149471953511238, -0.017634801242406233] |
711.4909 | Detecting very-high-frequency relic gravitational waves by
electromagnetic wave polarizations in a waveguide | The polarization vector (PV) of an electromagnetic wave (EW) will experience
a rotation in a region of spacetime perturbed by gravitational waves (GWs).
Based on this idea, Cruise's group has built an annular waveguide to detect
GWs. We give detailed calculations of the rotations of the polarization vector
of an EW caused by incident GWs from various directions and in various
polarization states, and then analyze the accumulative effects on the
polarization vector when the EW passes n cycles along the annular waveguide. We
reexamine the feasibility and limitation of this method to detect GWs of high
frequency around 100 MHz, in particular, the relic gravitational waves (RGWs).
By comparing the spectrum of RGWs in the accelerating universe with the
detector sensitivity of the current waveguide, it is found that the amplitude
of the RGWs is too low to be detected by the waveguide detectors currently
running. Possible ways of improvements on detection are discussed also.
| gr-qc | the polarization vector pv of an electromagnetic wave ew will experience a rotation in a region of spacetime perturbed by gravitational waves gws based on this idea cruises group has built an annular waveguide to detect gws we give detailed calculations of the rotations of the polarization vector of an ew caused by incident gws from various directions and in various polarization states and then analyze the accumulative effects on the polarization vector when the ew passes n cycles along the annular waveguide we reexamine the feasibility and limitation of this method to detect gws of high frequency around 100 mhz in particular the relic gravitational waves rgws by comparing the spectrum of rgws in the accelerating universe with the detector sensitivity of the current waveguide it is found that the amplitude of the rgws is too low to be detected by the waveguide detectors currently running possible ways of improvements on detection are discussed also | [['the', 'polarization', 'vector', 'pv', 'of', 'an', 'electromagnetic', 'wave', 'ew', 'will', 'experience', 'a', 'rotation', 'in', 'a', 'region', 'of', 'spacetime', 'perturbed', 'by', 'gravitational', 'waves', 'gws', 'based', 'on', 'this', 'idea', 'cruises', 'group', 'has', 'built', 'an', 'annular', 'waveguide', 'to', 'detect', 'gws', 'we', 'give', 'detailed', 'calculations', 'of', 'the', 'rotations', 'of', 'the', 'polarization', 'vector', 'of', 'an', 'ew', 'caused', 'by', 'incident', 'gws', 'from', 'various', 'directions', 'and', 'in', 'various', 'polarization', 'states', 'and', 'then', 'analyze', 'the', 'accumulative', 'effects', 'on', 'the', 'polarization', 'vector', 'when', 'the', 'ew', 'passes', 'n', 'cycles', 'along', 'the', 'annular', 'waveguide', 'we', 'reexamine', 'the', 'feasibility', 'and', 'limitation', 'of', 'this', 'method', 'to', 'detect', 'gws', 'of', 'high', 'frequency', 'around', '100', 'mhz', 'in', 'particular', 'the', 'relic', 'gravitational', 'waves', 'rgws', 'by', 'comparing', 'the', 'spectrum', 'of', 'rgws', 'in', 'the', 'accelerating', 'universe', 'with', 'the', 'detector', 'sensitivity', 'of', 'the', 'current', 'waveguide', 'it', 'is', 'found', 'that', 'the', 'amplitude', 'of', 'the', 'rgws', 'is', 'too', 'low', 'to', 'be', 'detected', 'by', 'the', 'waveguide', 'detectors', 'currently', 'running', 'possible', 'ways', 'of', 'improvements', 'on', 'detection', 'are', 'discussed', 'also']] | [-0.18551716010439961, 0.17594030533142266, -0.03960353692766661, 0.04096767970044405, -0.08233566900554042, -0.060584124661265656, 0.001709659391333564, 0.40227554568973106, -0.21454394302474192, -0.29320969915566725, 0.09145131730773033, -0.28075207779422784, -0.09392083256702441, 0.214817015054182, 0.037476319319513354, 0.04298706345248203, 0.03764375334438414, 0.00821241627757748, -0.04578527470771522, -0.17118764241249898, 0.30621318768662137, 0.13112565013281524, 0.26123770540699554, 0.03144894997314669, 0.07916732601827392, -0.030399545934648275, -0.06059424397132646, -0.019222873364551328, -0.0771475989293275, 0.06337227637227326, 0.22437756503215775, 0.13411512750183016, 0.18746908977985954, -0.4313369404990226, -0.2106481465549829, 0.08908538953460848, 0.12045168501283161, 0.13116554684268358, -0.0462146299586703, -0.3624479056765827, 0.06111445928362604, -0.1597606968970444, -0.1581082322712367, 0.010500924787125908, 0.03314591742431124, -0.007239016850526707, -0.19888570946521866, 0.027669134918258537, 0.012341196060729906, -0.008904652501792626, -0.02909348024807584, -0.05880293344111683, -0.02366321209895735, 0.010028200653323438, 0.08280588095136082, 0.03950623958968581, 0.14720150961492878, -0.12291148860673182, -0.13145874086349535, 0.373412929666348, -0.12649610424593377, -0.15315406456722533, 0.10718242851987433, -0.20615396032539698, -0.08390535415412906, 0.17109537178214687, 0.20809463744099516, 0.09678293518925038, -0.1086316499766746, 0.06610048881292385, 0.04750685296359081, 0.197023592554988, 0.14839891428448773, 0.051462344031255595, 0.3045262129654965, 0.12558615529157507, 0.052123848895112485, 0.1278265006168602, -0.1632920154534543, 0.023607228034495328, -0.32853316205317895, -0.089657824462614, -0.15592570098949812, 0.024539057129844038, -0.09503687348385426, -0.1416836293378415, 0.4411738457707449, 0.16961293839491332, 0.12974545892286235, 0.007889940816825494, 0.3312165510769074, 0.12031002671201116, 0.04594517861588452, 0.0481093823014257, 0.38757888953655195, 0.16146174637087357, 0.10366880780995229, -0.2371978876255572, 0.009111383649257895, -0.02753424281642462] |
711.491 | A Non-linear Generalization of Singular Value Decomposition and its
Application to Cryptanalysis | Singular Value Decomposition (SVD) is a powerful tool in linear algebra.We
propose an extension of SVD for both the qualitative detection and quantitative
determination of nonlinearity in a time series. The paper illustrates nonlinear
SVD with the help of data generated from nonlinear maps and flows (differential
equations).
| nlin.CD | singular value decomposition svd is a powerful tool in linear algebrawe propose an extension of svd for both the qualitative detection and quantitative determination of nonlinearity in a time series the paper illustrates nonlinear svd with the help of data generated from nonlinear maps and flows differential equations | [['singular', 'value', 'decomposition', 'svd', 'is', 'a', 'powerful', 'tool', 'in', 'linear', 'algebrawe', 'propose', 'an', 'extension', 'of', 'svd', 'for', 'both', 'the', 'qualitative', 'detection', 'and', 'quantitative', 'determination', 'of', 'nonlinearity', 'in', 'a', 'time', 'series', 'the', 'paper', 'illustrates', 'nonlinear', 'svd', 'with', 'the', 'help', 'of', 'data', 'generated', 'from', 'nonlinear', 'maps', 'and', 'flows', 'differential', 'equations']] | [-0.09422302009382595, -0.06614711054832394, -0.15304819901939481, 0.028162254799099173, -0.11653786878741812, -0.12466578315555428, -0.05417202403138314, 0.2874173404028018, -0.3213403398306885, -0.20965821164039275, 0.19216436688536, -0.30144471998210065, -0.1926947301447702, 0.22832149197347462, -0.039496582413751945, 0.1250138486502692, 0.08617305646960934, -0.008931346839138618, -0.07604421929378684, -0.13091256831588302, 0.3406070648149277, 0.03964545104342202, 0.2700774883851409, -0.01166616011566172, 0.14230301158628814, 0.010217660174627477, -0.1196824688037547, 0.015707200199055176, -0.1002150291048262, 0.14758621903213984, 0.3127909107133746, 0.13447699113748968, 0.32610719088309753, -0.40156993714238826, -0.16080192465839596, 0.09744047528753678, 0.1232096412992784, 0.11237498357271154, -0.05176166291736687, -0.2667162162833847, 0.0667243563317849, -0.13805805977608543, -0.10812704439740628, -0.1615191302068221, -0.012921045136560375, -0.046368653585280604, -0.33446378136674565, 0.10803533248448123, 0.03341831148524458, 0.09206060079547267, -0.06824927096992421, -0.11891164801393946, 0.038741170118252434, 0.05927244294434786, 0.00762692960173202, -0.034218830784084275, 0.06012351097888313, -0.16503785310972793, -0.097913121174012, 0.35788371649202116, -0.13797966425772756, -0.2196887843310833, 0.12773715745424852, -0.09043692171690054, -0.11765367753590301, 0.13909002985262, 0.2231353623404478, 0.1301754354693306, -0.11539480229839683, 0.06260398889571661, -0.03498500579735264, 0.17342575871104296, 0.02267130675803249, -0.03789721164503135, 0.13903371539587775, 0.18043758454344547, 0.10669986144057475, 0.12320190745716293, -0.050636704943220444, -0.06279854072878759, -0.2644946053624153, -0.15220177468533316, -0.13586136927187908, 0.035804418400706105, -0.1885091992632321, -0.20991686343525848, 0.4611809976243724, 0.13531684175056094, 0.22386819210078102, 0.04669889167416841, 0.342538131478553, 0.20667930950488275, 0.008308503466347853, 0.038318535283906385, 0.20183889866651347, 0.196629051026927, 0.17480802199376436, -0.22221873293650182, 0.04386306354717817, 0.14065475726965815] |
711.4911 | Composite bosons and quasiparticles in a number conserving approach | I recently proposed a method of bosonization valid for systems of an even
number of fermions whose partition function is dominated at low energy by
bosonic composites. This method respects all symmetries, in particular fermion
number conservation. I extend it to treat odd systems and excitations involving
unpaired fermions.
| nucl-th | i recently proposed a method of bosonization valid for systems of an even number of fermions whose partition function is dominated at low energy by bosonic composites this method respects all symmetries in particular fermion number conservation i extend it to treat odd systems and excitations involving unpaired fermions | [['i', 'recently', 'proposed', 'a', 'method', 'of', 'bosonization', 'valid', 'for', 'systems', 'of', 'an', 'even', 'number', 'of', 'fermions', 'whose', 'partition', 'function', 'is', 'dominated', 'at', 'low', 'energy', 'by', 'bosonic', 'composites', 'this', 'method', 'respects', 'all', 'symmetries', 'in', 'particular', 'fermion', 'number', 'conservation', 'i', 'extend', 'it', 'to', 'treat', 'odd', 'systems', 'and', 'excitations', 'involving', 'unpaired', 'fermions']] | [-0.15653865557277993, 0.2427643467366282, -0.022173736111393998, 0.08238984760353152, -0.017243476028611163, -0.21013636530700083, 0.027733768747492255, 0.2756390253804168, -0.18966566657229345, -0.30972423529898635, -0.026303369316690584, -0.31205445923367325, -0.1318418442898867, 0.12038962696964035, 0.006600956584574009, 0.041284753370802015, -0.0038783646530794855, 0.007568372831660874, -0.06477706915965038, -0.2976138730134283, 0.33310015758081357, -0.04806778249235786, 0.2902438723178086, 0.05464563702176116, 0.09588432207475511, 0.07362386294906693, 0.04037499353669736, -0.0011617035452960705, -0.03355398266671263, 0.0651733198450232, 0.24472147169313868, -0.0028341253744248226, 0.18638693244785678, -0.4161105920389599, -0.22253002224452034, 0.10323188940481264, 0.20630281426164568, 0.1176591444076324, -0.05222278827687307, -0.23437882083639197, 0.07140527814816759, -0.24009065744372046, -0.18950387178825176, -0.1491115728526243, 0.013142118159187387, -0.0509952575880654, -0.26537923162746035, 0.10261042028361438, 0.05551011541060039, 0.06850098290157561, -0.06494198355595676, -0.16046955067740412, -0.037739896928245316, 0.03682226410648805, 0.06617479499106352, -0.024189624859362234, 0.030250304834727123, -0.20045546563437247, -0.09506274915623422, 0.394412775733033, -0.006725933402776718, -0.25357144337375553, 0.2259759176712559, -0.09173383897322478, -0.19140015023627452, 0.14728534388907102, 0.09521276119511993, 0.16285577179788022, -0.12926932401974134, 0.1395271103110459, -0.07759855583082048, 0.12109477377059508, 0.031019357280159483, 0.08044970408082008, 0.23857771745901935, 0.11253535520874572, 0.060993924062242924, 0.12218088124479566, -0.006414409004607979, -0.07931964764637607, -0.30821085247990426, -0.185210680332491, -0.2815900478269715, 0.03147067426827413, 0.002046958391604546, -0.16357099800845798, 0.38599890206313253, 0.15029527621381744, 0.13926644427511764, 0.03973752409409808, 0.24118565298065694, 0.1689001676835576, 0.09874442903020857, 0.06234549986773494, 0.14129051790401645, 0.15853754087940466, 0.045986136877719234, -0.2674281066568682, -0.11184483267632979, 0.14911949566128302] |
711.4912 | Massive Star Formation | This chapter reviews progress in the field of massive star formation. It
focuses on evidence for accretion and current models that invoke high accretion
rates. In particular it is noted that high accretion rates will cause the
massive young stellar object to have a radius much larger than its eventual
main sequence radius throughout much of the accretion phase. This results in
low effective temperatures which may provide the explanation as to why luminous
young stellar objects do not ionized their surroundings to form ultra-compact H
II regions. The transition to the ultra-compact H II region phase would then be
associated with the termination of the high accretion rate phase. Objects
thought to be in a transition phase are discussed and diagnostic diagrams to
distinguish between massive young stellar objects and ultra-compact H II
regions in terms of line widths and radio luminosity are presented.
| astro-ph | this chapter reviews progress in the field of massive star formation it focuses on evidence for accretion and current models that invoke high accretion rates in particular it is noted that high accretion rates will cause the massive young stellar object to have a radius much larger than its eventual main sequence radius throughout much of the accretion phase this results in low effective temperatures which may provide the explanation as to why luminous young stellar objects do not ionized their surroundings to form ultracompact h ii regions the transition to the ultracompact h ii region phase would then be associated with the termination of the high accretion rate phase objects thought to be in a transition phase are discussed and diagnostic diagrams to distinguish between massive young stellar objects and ultracompact h ii regions in terms of line widths and radio luminosity are presented | [['this', 'chapter', 'reviews', 'progress', 'in', 'the', 'field', 'of', 'massive', 'star', 'formation', 'it', 'focuses', 'on', 'evidence', 'for', 'accretion', 'and', 'current', 'models', 'that', 'invoke', 'high', 'accretion', 'rates', 'in', 'particular', 'it', 'is', 'noted', 'that', 'high', 'accretion', 'rates', 'will', 'cause', 'the', 'massive', 'young', 'stellar', 'object', 'to', 'have', 'a', 'radius', 'much', 'larger', 'than', 'its', 'eventual', 'main', 'sequence', 'radius', 'throughout', 'much', 'of', 'the', 'accretion', 'phase', 'this', 'results', 'in', 'low', 'effective', 'temperatures', 'which', 'may', 'provide', 'the', 'explanation', 'as', 'to', 'why', 'luminous', 'young', 'stellar', 'objects', 'do', 'not', 'ionized', 'their', 'surroundings', 'to', 'form', 'ultracompact', 'h', 'ii', 'regions', 'the', 'transition', 'to', 'the', 'ultracompact', 'h', 'ii', 'region', 'phase', 'would', 'then', 'be', 'associated', 'with', 'the', 'termination', 'of', 'the', 'high', 'accretion', 'rate', 'phase', 'objects', 'thought', 'to', 'be', 'in', 'a', 'transition', 'phase', 'are', 'discussed', 'and', 'diagnostic', 'diagrams', 'to', 'distinguish', 'between', 'massive', 'young', 'stellar', 'objects', 'and', 'ultracompact', 'h', 'ii', 'regions', 'in', 'terms', 'of', 'line', 'widths', 'and', 'radio', 'luminosity', 'are', 'presented']] | [-0.07440989342486036, 0.1696942261917966, -0.020238466779219692, 0.13331451578194212, -0.131166195279742, -0.09658472629520913, 0.04453205045649846, 0.4358605474233627, -0.1497834265232086, -0.3547743929550052, 0.1196860786647825, -0.22303022096126243, -0.056987543111859724, 0.17593699985257538, -0.0789381784051737, -0.06994421145485329, 0.052888050290017294, -0.014717268083316819, -0.07281721360090285, -0.22272625422619027, 0.30618512554672256, 0.09409367670465646, 0.16219031369024567, 0.00281547615625735, -0.009352303469746278, -0.15147867358675035, -0.055893537607686276, -0.01901288458611816, -0.16403919488306012, 0.0526228529906928, 0.2806469121348998, 0.16260020760819316, 0.21512683849653294, -0.3846710167305367, -0.21383330191903074, 0.09075489769336478, 0.24201338840327385, 0.044754572887202436, -0.10146879703850196, -0.24622758460664673, 0.08886386120756125, -0.20759881884100495, -0.153955835078297, 0.046479341040911344, 0.11096562918933943, -0.0003890892169598875, -0.2255429739614242, 0.11119312777019363, 0.07135037378054754, 0.02307407946068922, -0.08755637077084774, -0.07842641253473943, -0.05387163529622144, 0.07753705674589707, 0.029922902139289113, 0.07097365794510677, 0.18893207114125635, -0.1996207461756622, -0.03711092724818094, 0.374201756641911, -0.0338065320229487, -0.04911006493975633, 0.30139636564678673, -0.25486147391995223, -0.1336032513625406, 0.19483253921799618, 0.16969566326267246, 0.14828735371280846, -0.11416391174726445, -0.027285074723426832, 0.03555194720593763, 0.16266967581006989, 0.01604979430036298, 0.10601416085043858, 0.3650507832780994, 0.11007518270213543, 0.0009729802166914632, 0.1228926696782482, -0.15189312448411987, -0.08027256904009344, -0.24446613288681215, -0.15710494836535432, -0.09497807558208447, 0.04763803333696379, -0.10465069194444744, -0.14867437850234325, 0.2817144555312678, 0.12275681198687004, 0.2418265643631959, -0.004785976935467073, 0.2779936758929799, 0.11594517995234065, 0.10689334821453768, 0.12288180091578899, 0.3089782972683616, 0.1787092068907002, 0.11154906281816035, -0.2320072704364128, 0.09769744846953786, 0.05098532972504096] |
711.4913 | Gate-dependent tunneling-induced level shifts observed in carbon
nanotube quantum dots | We have studied electron transport in clean single-walled carbon nanotube
quantum dots. Because of the large number of Coulomb blockade diamonds
simultaneously showing both shell structure and Kondo effect, we are able to
perform a detailed analysis of tunneling renormalization effects. Thus
determining the environment induced level shifts of this artificial atom. In
shells where only one of the two orbitals is coupled strongly, we observe a
marked asymmetric gate-dependence of the inelastic cotunneling lines together
with a systematic gate dependence of the size (and shape) of the Coulomb
diamonds. These effects are all given a simple explanation in terms of
second-order perturbation theory in the tunnel coupling.
| cond-mat.mes-hall | we have studied electron transport in clean singlewalled carbon nanotube quantum dots because of the large number of coulomb blockade diamonds simultaneously showing both shell structure and kondo effect we are able to perform a detailed analysis of tunneling renormalization effects thus determining the environment induced level shifts of this artificial atom in shells where only one of the two orbitals is coupled strongly we observe a marked asymmetric gatedependence of the inelastic cotunneling lines together with a systematic gate dependence of the size and shape of the coulomb diamonds these effects are all given a simple explanation in terms of secondorder perturbation theory in the tunnel coupling | [['we', 'have', 'studied', 'electron', 'transport', 'in', 'clean', 'singlewalled', 'carbon', 'nanotube', 'quantum', 'dots', 'because', 'of', 'the', 'large', 'number', 'of', 'coulomb', 'blockade', 'diamonds', 'simultaneously', 'showing', 'both', 'shell', 'structure', 'and', 'kondo', 'effect', 'we', 'are', 'able', 'to', 'perform', 'a', 'detailed', 'analysis', 'of', 'tunneling', 'renormalization', 'effects', 'thus', 'determining', 'the', 'environment', 'induced', 'level', 'shifts', 'of', 'this', 'artificial', 'atom', 'in', 'shells', 'where', 'only', 'one', 'of', 'the', 'two', 'orbitals', 'is', 'coupled', 'strongly', 'we', 'observe', 'a', 'marked', 'asymmetric', 'gatedependence', 'of', 'the', 'inelastic', 'cotunneling', 'lines', 'together', 'with', 'a', 'systematic', 'gate', 'dependence', 'of', 'the', 'size', 'and', 'shape', 'of', 'the', 'coulomb', 'diamonds', 'these', 'effects', 'are', 'all', 'given', 'a', 'simple', 'explanation', 'in', 'terms', 'of', 'secondorder', 'perturbation', 'theory', 'in', 'the', 'tunnel', 'coupling']] | [-0.15910959953476708, 0.16562615661812877, -0.03818166213696478, 0.06439472201465699, 0.007881355920323619, -0.16619124067774801, 0.07151707789873601, 0.40125529842528823, -0.25319341057911515, -0.29839503577117016, -0.04373805858065478, -0.32230942635107096, -0.13044355963184326, 0.13205553718445892, 0.02332796962690298, -0.017383472653347307, 0.05776716959556965, -0.03294433946979956, -0.05710911429250026, -0.21862747949435962, 0.29530348357339214, 0.03390557376163391, 0.2798908673554521, 0.14087205469884254, 0.044087044226385104, 0.03050454059632978, 0.04883712894014833, 0.08856623251793078, -0.11308130340788651, 0.09893127986126476, 0.2294457014469555, -0.07856423387096988, 0.22880424684370626, -0.48625625188772875, -0.17094189932147316, 0.023547983409284993, 0.14785468999158452, 0.18625578052510885, -0.057315195705827875, -0.2573564934859018, 0.0019622548198741344, -0.15688076949704233, -0.09523298902570752, -0.06869946149850471, -0.001257486693147156, 0.021340032748951302, -0.2429211531335669, 0.06830447589702628, 0.0629823619803776, 0.0684759635197999, -0.0098843284132373, -0.08339888675793729, -0.021124642424250918, 0.08675428192320934, -0.004177906155948424, -0.06210724615650381, 0.19725700294926624, -0.12473534965883354, -0.09584499517438451, 0.3631287802493683, -0.07006266732976117, -0.13867435976000572, 0.15823501388809677, -0.20991294004488736, -0.10131102657221534, 0.1413383910311731, 0.1122695301126913, 0.13230774643037607, -0.15192093317994107, 0.11077677712590364, -0.008866006111795152, 0.1395241968307851, 0.0738106361521339, 0.09334418996284646, 0.22279124205104178, 0.18650658645761992, 0.0318881469946872, 0.12999691551225692, -0.15003972676047986, -0.10989284911839706, -0.29750494602032834, -0.113141593450025, -0.16093982233670195, 0.08702149432199938, -0.06181828979444819, -0.23910271601441005, 0.3846609701334576, 0.09853342358730044, 0.22581883352163626, -0.06527369831585222, 0.2657463524525088, 0.14007653148534396, 0.08724028777969242, -0.022960714685420196, 0.23449635049069506, 0.20658868836687394, 0.008577604687565731, -0.3468524881259159, 0.03163296844232483, 0.00468519123279731] |
711.4914 | Use of Complex Lie Symmetries for Linearization of Systems of
Differential Equations - I: Ordinary Differential Equations | The Lie linearizability criteria are extended to complex functions for
complex ordinary differential equations. The linearizability of complex
ordinary differential equations is used to study the linearizability of
corresponding systems of two real ordinary differential equations. The
transformations that map a system of two nonlinear ordinary differential
equations into systems of linear ordinary differential equations are obtained
from complex transformations. Invariant criteria for linearization are given
for second order complex ordinary differential equations in terms of the
coefficients of the equations, as well as the corresponding real system, which
provide procedures for writing down the solutions of the equations.
Illustrative examples are given and discussed.
| math.CA | the lie linearizability criteria are extended to complex functions for complex ordinary differential equations the linearizability of complex ordinary differential equations is used to study the linearizability of corresponding systems of two real ordinary differential equations the transformations that map a system of two nonlinear ordinary differential equations into systems of linear ordinary differential equations are obtained from complex transformations invariant criteria for linearization are given for second order complex ordinary differential equations in terms of the coefficients of the equations as well as the corresponding real system which provide procedures for writing down the solutions of the equations illustrative examples are given and discussed | [['the', 'lie', 'linearizability', 'criteria', 'are', 'extended', 'to', 'complex', 'functions', 'for', 'complex', 'ordinary', 'differential', 'equations', 'the', 'linearizability', 'of', 'complex', 'ordinary', 'differential', 'equations', 'is', 'used', 'to', 'study', 'the', 'linearizability', 'of', 'corresponding', 'systems', 'of', 'two', 'real', 'ordinary', 'differential', 'equations', 'the', 'transformations', 'that', 'map', 'a', 'system', 'of', 'two', 'nonlinear', 'ordinary', 'differential', 'equations', 'into', 'systems', 'of', 'linear', 'ordinary', 'differential', 'equations', 'are', 'obtained', 'from', 'complex', 'transformations', 'invariant', 'criteria', 'for', 'linearization', 'are', 'given', 'for', 'second', 'order', 'complex', 'ordinary', 'differential', 'equations', 'in', 'terms', 'of', 'the', 'coefficients', 'of', 'the', 'equations', 'as', 'well', 'as', 'the', 'corresponding', 'real', 'system', 'which', 'provide', 'procedures', 'for', 'writing', 'down', 'the', 'solutions', 'of', 'the', 'equations', 'illustrative', 'examples', 'are', 'given', 'and', 'discussed']] | [-0.17330335674009154, -0.005001475903693409, -0.056478664846647354, 0.11136376737018248, -0.11820520530676558, -0.13118534885967773, -0.10711116357041257, 0.22715403234497422, -0.32004525423759506, -0.315011035296179, 0.16050585013747748, -0.31050950472376176, -0.18996989049372218, 0.2485014760101746, 0.0006221257593660127, 0.15713459526499113, 0.01903809208334202, 0.060962674086303674, -0.13651131753632356, -0.2865991816102039, 0.4157053174983178, -0.11362432213056656, 0.19237824524087566, -0.12534526645516356, 0.21922565494619664, -0.017533175669433104, -0.07278412536584905, 0.024800075306778864, -0.09269899507974817, 0.09598465568075577, 0.32033851310788164, 0.07629650744299094, 0.17286359825659367, -0.42786338295610177, -0.14951605997270062, 0.05316468778820265, 0.10440428153212582, 0.10124698297586292, -0.0011282836752278464, -0.30371086059936453, 0.08374170369158189, -0.10477761588990689, -0.19848639565032153, -0.11704846586854685, 0.023742814277786583, 0.10553653534457443, -0.26446346108402524, 0.08192495805699201, 0.09126519214117988, 0.0920680891545046, -0.09853375902222027, -0.07675314657168374, -0.08699188539093095, 0.05587817054862777, -0.02987894855129222, -0.11451853846998088, 0.07077921918992486, -0.1307634327161525, -0.12350772964280277, 0.43455923741594665, -0.07434987218473993, -0.3171647941782361, 0.17744832415843292, -0.10479920261672565, -0.11861918551980384, 0.17892813226651577, 0.21419065549880975, 0.19226249724271752, -0.20637646322803838, 0.1086692448877286, -0.016044191962906292, 0.10464394949376583, 0.0529104614275552, -0.02319835159883258, 0.09702120206895329, 0.09388696916756176, 0.04911373912223748, 0.09335885914486079, 0.102756118029356, -0.1927639655680174, -0.3638873054867699, -0.20041102494578808, -0.0013002381571346805, 0.06856321555872759, -0.08670609632847898, -0.17869545963725875, 0.3507794924080372, 0.0854590081831529, 0.15559983932900998, 0.027128687116228754, 0.2906313598200324, 0.31565301293906356, 0.040333427122303485, -0.052809937413604485, 0.17762331433062042, 0.22621621172875167, 0.1294013045550812, -0.1972423055389386, 0.017480909544974565, 0.1454537801865843] |
711.4915 | Classical and quantum integrability in 3D systems | In this contribution, we discuss three situations in which complete
integrability of a three dimensional classical system and its quantum version
can be achieved under some conditions. The former is a system with axial
symmetry. In the second, we discuss a three dimensional system without spatial
symmetry which admits separation of variables if we use ellipsoidal
coordinates. In both cases, and as a condition for integrability, certain
conditions arise in the integrals of motion. Finally, we study integrability in
the three dimensional sphere and a particular case associated with the Kepler
problem in $S^3$.
| math-ph math.MP | in this contribution we discuss three situations in which complete integrability of a three dimensional classical system and its quantum version can be achieved under some conditions the former is a system with axial symmetry in the second we discuss a three dimensional system without spatial symmetry which admits separation of variables if we use ellipsoidal coordinates in both cases and as a condition for integrability certain conditions arise in the integrals of motion finally we study integrability in the three dimensional sphere and a particular case associated with the kepler problem in s3 | [['in', 'this', 'contribution', 'we', 'discuss', 'three', 'situations', 'in', 'which', 'complete', 'integrability', 'of', 'a', 'three', 'dimensional', 'classical', 'system', 'and', 'its', 'quantum', 'version', 'can', 'be', 'achieved', 'under', 'some', 'conditions', 'the', 'former', 'is', 'a', 'system', 'with', 'axial', 'symmetry', 'in', 'the', 'second', 'we', 'discuss', 'a', 'three', 'dimensional', 'system', 'without', 'spatial', 'symmetry', 'which', 'admits', 'separation', 'of', 'variables', 'if', 'we', 'use', 'ellipsoidal', 'coordinates', 'in', 'both', 'cases', 'and', 'as', 'a', 'condition', 'for', 'integrability', 'certain', 'conditions', 'arise', 'in', 'the', 'integrals', 'of', 'motion', 'finally', 'we', 'study', 'integrability', 'in', 'the', 'three', 'dimensional', 'sphere', 'and', 'a', 'particular', 'case', 'associated', 'with', 'the', 'kepler', 'problem', 'in', 's3']] | [-0.1892652402612123, 0.08168374269487376, -0.07097932105844325, 0.058541519171062935, -0.03615617420663066, -0.12258326378155579, -0.010611553431211158, 0.3654996080700546, -0.2446874703746289, -0.2386055025569302, 0.17695348391041874, -0.21579817635938525, -0.17802857206341752, 0.17591472650739423, -0.08524442054182688, 0.022757405467192703, 0.074092035763897, 0.07572853506017635, -0.13229139100703252, -0.2670475035197438, 0.3649289993658424, -0.06420548031963606, 0.21715401586868424, 0.024890119206789445, 0.11822562951574776, 0.02640698237364438, 0.056213089225298545, 0.05607258815683615, -0.12330486739123676, 0.07547511803258726, 0.17273325609796225, 0.07574369348560836, 0.2127675896787897, -0.402139846889421, -0.2003754239351033, 0.11037872958323977, 0.11370149397469581, 0.11391597244878636, -0.019546894029654722, -0.26388737949433716, 0.04200460431859531, -0.1491778502686623, -0.20862455448096104, -0.07780981971139207, -0.014036693273389593, -0.01612486416087585, -0.26842860518855616, 0.0984446563599433, 0.12379208899182366, 0.07875110412095772, -0.11053567426898418, -0.04834078639582236, -0.006069628284015554, 0.07930066690165946, 0.055500796077119066, -0.01252488074378368, 0.041286768096974714, -0.14971924036240608, -0.1128843400746267, 0.4330880171916586, -0.036031323506749494, -0.2924777294330774, 0.21045601505171904, -0.1587179613478006, -0.19807286339098626, 0.07557821998551012, 0.15825035585526456, 0.11622357122015525, -0.1602966267687697, 0.1263849075290404, -0.0423189485941003, 0.11952860022776146, 0.09784482602783023, 0.04701040537552314, 0.1742694236169708, 0.12783851739801863, 0.0800490456848762, 0.20383280604716114, -0.1008552827660559, -0.1265986591201038, -0.36184851864868023, -0.1939013339083721, -0.12231618206839058, 0.07413281644000969, -0.1015853499790884, -0.11847927598679002, 0.3923277213099472, 0.12363398687151123, 0.19697838588716818, 0.007493223145386164, 0.2553355454843729, 0.12801159983141686, 0.02262937632002967, 0.045517601553311055, 0.20309196338905863, 0.11691637037995647, 0.07857884797564846, -0.19677106311892784, -0.06473137977770826, 0.11064040072341548] |
711.4916 | Variable stars in the field of open cluster NGC 6939 | The results of CCD photometric survey performed with the 90/180 cm
Schmidt-Cassegrain Telescope of the Nicolaus Copernicus University Astronomical
Observatory in Piwnice (Poland) and the 70/172 cm Schmidt Telescope of the
National Astronomical Observatory (NAO) at Rozhen (Bulgaria) of the field of 1
Gyr old open cluster NGC 6939 are presented. Twenty two variable stars were
detected, four of them previously known. Four eclipsing systems (3 detached and
1 contact binary) were found to be members of the cluster. Analysis of the
brightness of the contact binary V20 strongly supports the distance to the
cluster of 1.74 +/- 0.20 kpc. The small population of contact binaries in NGC
6939 confirms also the relatively young age of the cluster.
| astro-ph | the results of ccd photometric survey performed with the 90180 cm schmidtcassegrain telescope of the nicolaus copernicus university astronomical observatory in piwnice poland and the 70172 cm schmidt telescope of the national astronomical observatory nao at rozhen bulgaria of the field of 1 gyr old open cluster ngc 6939 are presented twenty two variable stars were detected four of them previously known four eclipsing systems 3 detached and 1 contact binary were found to be members of the cluster analysis of the brightness of the contact binary v20 strongly supports the distance to the cluster of 174 020 kpc the small population of contact binaries in ngc 6939 confirms also the relatively young age of the cluster | [['the', 'results', 'of', 'ccd', 'photometric', 'survey', 'performed', 'with', 'the', '90180', 'cm', 'schmidtcassegrain', 'telescope', 'of', 'the', 'nicolaus', 'copernicus', 'university', 'astronomical', 'observatory', 'in', 'piwnice', 'poland', 'and', 'the', '70172', 'cm', 'schmidt', 'telescope', 'of', 'the', 'national', 'astronomical', 'observatory', 'nao', 'at', 'rozhen', 'bulgaria', 'of', 'the', 'field', 'of', '1', 'gyr', 'old', 'open', 'cluster', 'ngc', '6939', 'are', 'presented', 'twenty', 'two', 'variable', 'stars', 'were', 'detected', 'four', 'of', 'them', 'previously', 'known', 'four', 'eclipsing', 'systems', '3', 'detached', 'and', '1', 'contact', 'binary', 'were', 'found', 'to', 'be', 'members', 'of', 'the', 'cluster', 'analysis', 'of', 'the', 'brightness', 'of', 'the', 'contact', 'binary', 'v20', 'strongly', 'supports', 'the', 'distance', 'to', 'the', 'cluster', 'of', '174', '020', 'kpc', 'the', 'small', 'population', 'of', 'contact', 'binaries', 'in', 'ngc', '6939', 'confirms', 'also', 'the', 'relatively', 'young', 'age', 'of', 'the', 'cluster']] | [-0.1208212472204315, 0.11801436470347669, -0.08507940746239272, 0.05003226584787562, -0.0737906512518397, -0.11222100892643395, 0.05218150488942404, 0.3764354364390959, -0.1272613975145903, -0.396168223892649, 0.08864450432450037, -0.32917900618039103, -0.04219445032312682, 0.25771192095258777, -0.05191796580983097, -0.02132124428457597, 0.16395379534693794, -0.051965660873081604, 0.009185297390151965, -0.35809270349706995, 0.2908160544956397, 0.08208561222591813, 0.11596691910700317, -0.0843663259589097, 0.09158598963301956, -0.057828002911583895, -0.126877061503923, -0.046368078684042156, -0.10880355187283273, 0.06859972017915233, 0.2898063910308114, 0.13733921133864083, 0.212744526418024, -0.2616888096886932, -0.10349210105803713, -0.02117613680035758, 0.13430237102428483, -0.042926204660417216, 0.01929086612602859, -0.351679518118321, 0.04714275076740274, -0.20383235466617503, -0.25085078009093803, 0.17527183670583263, 0.07651972055145163, 0.07404284954495859, -0.11755425708466455, 0.09368863988850519, -0.05157145281453012, 0.20279080606180064, -0.17372607616217514, -0.21953269468391673, -0.01825908243272192, 0.16704279218653315, -0.05587319175002018, 0.10239958602285601, 0.10488372329589829, -0.0693795077559914, -0.022930717159046286, 0.3571877296883286, -0.03545424958952425, 0.11315495527365751, 0.24103227135237193, -0.23662675395526253, -0.22810787758626566, 0.09400021672971841, 0.1402484331476061, 0.09694433119148016, -0.23342961643152593, 0.05711189839323133, -0.030226336555196007, 0.24550854879035205, 0.1060675965385152, -0.011874666617235593, 0.2531098497198208, 0.10363415530229216, -0.004796962482495266, 0.08209118222625796, -0.3384266371020267, -0.06585106321839257, -0.18650924066375746, -0.11484487264073993, -0.09130025524012908, 0.058329250245853406, -0.11945191943959799, -0.13488034014957712, 0.32406745026329237, 0.040816152423391476, 0.11384768909039467, -0.003511361128945729, 0.20504207967927582, -0.03539911035056177, 0.12248199799285973, 0.0874624539232045, 0.33223959194953767, 0.1885074773239658, 0.10654475300556474, -0.22619356344895145, 0.005402476526796818, -0.007779744506829925] |
711.4917 | Massive gravitational waves from the R^2 theory of gravity: production
and response of interferometers | We show that from the R^{2} high order gravity theory it is possible to
produce, in the linearized approch, particles which can be seen like massive
modes of gravitational waves (GWs). The presence of the mass generates a
longitudinal force in addition of the transverse one which is proper of the
massless gravitational waves and the response an interferometer to the effect
is computed. This could be, in principle, important to discriminate among the
gravity theories. The presence of the mass could also have important
applications in cosmology because the fact that gravitational waves can have
mass could give a contribution to the dark matter of the Universe.
| gr-qc | we show that from the r2 high order gravity theory it is possible to produce in the linearized approch particles which can be seen like massive modes of gravitational waves gws the presence of the mass generates a longitudinal force in addition of the transverse one which is proper of the massless gravitational waves and the response an interferometer to the effect is computed this could be in principle important to discriminate among the gravity theories the presence of the mass could also have important applications in cosmology because the fact that gravitational waves can have mass could give a contribution to the dark matter of the universe | [['we', 'show', 'that', 'from', 'the', 'r2', 'high', 'order', 'gravity', 'theory', 'it', 'is', 'possible', 'to', 'produce', 'in', 'the', 'linearized', 'approch', 'particles', 'which', 'can', 'be', 'seen', 'like', 'massive', 'modes', 'of', 'gravitational', 'waves', 'gws', 'the', 'presence', 'of', 'the', 'mass', 'generates', 'a', 'longitudinal', 'force', 'in', 'addition', 'of', 'the', 'transverse', 'one', 'which', 'is', 'proper', 'of', 'the', 'massless', 'gravitational', 'waves', 'and', 'the', 'response', 'an', 'interferometer', 'to', 'the', 'effect', 'is', 'computed', 'this', 'could', 'be', 'in', 'principle', 'important', 'to', 'discriminate', 'among', 'the', 'gravity', 'theories', 'the', 'presence', 'of', 'the', 'mass', 'could', 'also', 'have', 'important', 'applications', 'in', 'cosmology', 'because', 'the', 'fact', 'that', 'gravitational', 'waves', 'can', 'have', 'mass', 'could', 'give', 'a', 'contribution', 'to', 'the', 'dark', 'matter', 'of', 'the', 'universe']] | [-0.1634353280576222, 0.19212042308895938, -0.13477688814789332, 0.10990502877824905, -0.10608272261365696, -0.056676546310040134, -0.08851220619679359, 0.285382984292314, -0.23309587767451173, -0.32079811661538704, 0.06320451369888529, -0.26602650726972904, -0.13676400658571058, 0.1917549629945791, -0.008827037900186109, -0.022860249901121413, 0.01792854034984312, 0.07198305461659199, -0.022474965647065633, -0.2060752247279096, 0.3198315413082363, 0.0932951390536295, 0.20857627427688352, 0.07068199656162134, 0.08361818087804648, -0.046701000990449555, -0.006409740601493804, 0.044865306504545045, -0.08208665093776223, 0.05623558000661433, 0.2213068839110848, 0.10447194144405701, 0.22266419677503613, -0.424958603059942, -0.26642459071741476, 0.13987754666487928, 0.15650060589649473, 0.19248571188870334, -0.06280597619263938, -0.28653318329748734, 0.04514797201328394, -0.1680303211496384, -0.16322743301107376, -0.0422500847597365, 0.023032295608168676, -0.034361807336271914, -0.2562274380535301, 0.11424853334918023, 0.008879260487716508, -0.10134251592508345, -0.054873245962274574, -0.04485701107316547, -0.050339806458429885, 0.07920872821921, 0.13034777606716724, 0.08109012215950147, 0.14089243432196477, -0.15030346952132984, -0.09576691219721127, 0.44709844628555906, -0.12179930236177622, -0.18556423787096585, 0.20114443128221426, -0.1883679581331779, -0.12429695429832295, 0.1261700548736068, 0.19026561359620514, 0.09629609168903833, -0.14322119267415945, 0.06963043289929542, -0.005741179726707439, 0.15769773988372268, 0.09194523254538783, 0.0829876722742079, 0.36860536846021813, 0.11061925649711932, 0.02005617015701891, 0.09979090981694215, -0.11779935601926236, -0.013765811765484547, -0.3116225111621639, -0.16121752580403592, -0.14177668122229753, 0.03647430850994877, -0.09590544632225863, -0.15633343690057733, 0.3624714410484389, 0.18583072771630046, 0.09550602191679732, 0.00359261632008754, 0.29053522304079876, 0.1356035924491826, 0.11006262748829883, 0.03656784724012983, 0.3944610892622559, 0.15344989536916492, 0.08471927232609165, -0.23672440411583348, 0.0053908213858785865, 0.018645653793269216] |
711.4918 | Microscopic heat from the energetics of stochastic phenomena | The energetics of the stochastic process has shown the balance of energy on
the mesoscopic level. The heat and the energy defined there are, however,
generally different from their macroscopic counterpart. We show that this
discrepancy can be removed by adding to these quantities the reversible heat
associated with the mesoscopic free energy.
| cond-mat.stat-mech | the energetics of the stochastic process has shown the balance of energy on the mesoscopic level the heat and the energy defined there are however generally different from their macroscopic counterpart we show that this discrepancy can be removed by adding to these quantities the reversible heat associated with the mesoscopic free energy | [['the', 'energetics', 'of', 'the', 'stochastic', 'process', 'has', 'shown', 'the', 'balance', 'of', 'energy', 'on', 'the', 'mesoscopic', 'level', 'the', 'heat', 'and', 'the', 'energy', 'defined', 'there', 'are', 'however', 'generally', 'different', 'from', 'their', 'macroscopic', 'counterpart', 'we', 'show', 'that', 'this', 'discrepancy', 'can', 'be', 'removed', 'by', 'adding', 'to', 'these', 'quantities', 'the', 'reversible', 'heat', 'associated', 'with', 'the', 'mesoscopic', 'free', 'energy']] | [-0.09948099725045052, 0.18168349743311135, -0.04526221887472103, 0.09774687697684402, -0.011791718315403417, -0.06563200198887091, 0.046359788485855424, 0.3588242674211286, -0.34774284078827444, -0.32720776816021724, 0.0626386135096117, -0.2831989660999685, -0.09312665921565637, 0.21684979056974626, -0.020026390493478416, 0.0525480486663445, 0.036372131984329446, 0.07139997188669611, -0.0389078777274644, -0.16707544193936968, 0.3515181577992889, 0.106952743569635, 0.28019892891763515, 0.09138261094548793, 0.11470381857141992, -0.07380224226200778, -0.01798946802275923, 0.09185577064471424, -0.15014354233206623, 0.12247195400139492, 0.21254183981075603, 0.030343396316792042, 0.23329351564214723, -0.49439392491893946, -0.2624863999553095, 0.14410845248274645, 0.05245054825066307, 0.09062883349240951, -0.021172305808472885, -0.22047594618403688, 0.05483635432385611, -0.11854937210468189, -0.07873437816347435, -0.07943848023226238, -0.03620191642417098, 0.09529496311816334, -0.16693917008222275, 0.13955093964161175, 0.09297575691345868, 0.003713915537480476, -0.06420911613957218, -0.10225491332030802, -0.10896836162351493, 0.12571337463263915, 0.055798158136894926, -0.009227094896695629, 0.16608912259656586, -0.11153411933326356, -0.0886969011066095, 0.3573857536495505, -0.031049224003305974, -0.22589705905543184, 0.22851819481770946, -0.1279917902594327, -0.08196025352292466, 0.1450125052119201, 0.07190846151426294, 0.06352602211617918, -0.22438215870269626, 0.08291288263950813, 0.0031421214588127047, 0.15025683900095382, 0.04880662549743956, 0.036404284358657196, 0.2191951262922782, 0.14176003107765936, 0.04466573692823075, 0.15537540998006732, -0.09242172860474554, -0.13914011540067084, -0.3179057677680591, -0.15443499535673633, -0.21731609127150392, 0.13697817481896085, -0.06674747714604787, -0.1333422258618191, 0.3694512243821936, 0.16134950192645192, 0.18197631965971217, 0.017325614895320165, 0.26205712767704475, 0.2390752204008541, 0.09695228282801525, 0.08745599440562557, 0.25047059584725295, 0.08416122900550517, 0.11452141324198752, -0.2884007868717231, 0.08354396608499985, 0.02769354532279496] |
711.4919 | Quantum Wire Hybridized with a Single-Level Impurity | We have studied low-temperature properties of interacting electrons in a
one-dimensional quantum wire (Luttinger liquid) side-hybridized with a
single-level impurity. The hybridization induces a back-scattering of electrons
in the wire which strongly affects its low energy properties. Using a one-loop
renormalization group approach valid for a weak electron-electron interaction,
we have calculated a transmission coefficient through the wire,
$\mathcal{T}(\varepsilon)$, and a local density of states, $\nu(\varepsilon)$
at low energies $\varepsilon $. In particular, we have found that the
antiresonance in $\mathcal{T}(\varepsilon)$ has a generalized Breit-Wigner
shape with the effective width $\Gamma(\varepsilon)$ which diverges at the
Fermi level.
| cond-mat.str-el | we have studied lowtemperature properties of interacting electrons in a onedimensional quantum wire luttinger liquid sidehybridized with a singlelevel impurity the hybridization induces a backscattering of electrons in the wire which strongly affects its low energy properties using a oneloop renormalization group approach valid for a weak electronelectron interaction we have calculated a transmission coefficient through the wire mathcaltvarepsilon and a local density of states nuvarepsilon at low energies varepsilon in particular we have found that the antiresonance in mathcaltvarepsilon has a generalized breitwigner shape with the effective width gammavarepsilon which diverges at the fermi level | [['we', 'have', 'studied', 'lowtemperature', 'properties', 'of', 'interacting', 'electrons', 'in', 'a', 'onedimensional', 'quantum', 'wire', 'luttinger', 'liquid', 'sidehybridized', 'with', 'a', 'singlelevel', 'impurity', 'the', 'hybridization', 'induces', 'a', 'backscattering', 'of', 'electrons', 'in', 'the', 'wire', 'which', 'strongly', 'affects', 'its', 'low', 'energy', 'properties', 'using', 'a', 'oneloop', 'renormalization', 'group', 'approach', 'valid', 'for', 'a', 'weak', 'electronelectron', 'interaction', 'we', 'have', 'calculated', 'a', 'transmission', 'coefficient', 'through', 'the', 'wire', 'mathcaltvarepsilon', 'and', 'a', 'local', 'density', 'of', 'states', 'nuvarepsilon', 'at', 'low', 'energies', 'varepsilon', 'in', 'particular', 'we', 'have', 'found', 'that', 'the', 'antiresonance', 'in', 'mathcaltvarepsilon', 'has', 'a', 'generalized', 'breitwigner', 'shape', 'with', 'the', 'effective', 'width', 'gammavarepsilon', 'which', 'diverges', 'at', 'the', 'fermi', 'level']] | [-0.18909814789070076, 0.21046864573833762, -0.10663235355018368, 0.0690449213318687, 0.03142696574470529, -0.20363008028136625, 0.06820814783925251, 0.36145874601538464, -0.23360929604599712, -0.2454916446379596, -0.06830934790133308, -0.3353268179882278, -0.08974926324401011, 0.13536747298654048, 0.07718009473655814, 0.019655824978760773, 0.026804032765569225, 0.033561698827011294, -0.13872742330184787, -0.17740735674016578, 0.2963700456474657, 0.060287025519296204, 0.2864308256320455, 0.15752509351749655, 0.06948421463891062, 0.06367516513883827, 0.11363288066700421, 0.06208686418931491, -0.13846070513478792, 0.04154852175551857, 0.24231170277894845, -0.13922682991351493, 0.24081480865597085, -0.42940052665810113, -0.21414301249759413, 0.0023561877609100394, 0.1652277151563315, 0.12811729947095035, -0.05497081697197451, -0.2751610330956918, 0.03150705599616612, -0.208041389032196, -0.1638747211145137, -0.031658418666851776, -0.005775752166906993, 0.007602491966506306, -0.21468717657950936, 0.12730383508311716, -0.0009798295395348662, 0.029964126311042297, -0.018489198861843956, -0.0758191398344934, -0.02898688096633201, 0.05506135049145869, 0.017859637521968414, 0.0014492790881288989, 0.19072494285822075, -0.15073612710380907, -0.063281866952136, 0.3557651498885725, -0.1204130716862217, -0.16547364481444402, 0.18205012570345594, -0.17686865094207949, -0.08939323695476657, 0.199656089918027, 0.11435382472731734, 0.0627016557470685, -0.12717217582988963, 0.16889191299967307, -0.0491168287855583, 0.13831810083118848, 0.04223031783977183, 0.07591869885988173, 0.21469195584656411, 0.1767299102784525, 0.03855071783376237, 0.12347376519333451, -0.15404387855882284, -0.03344106193261361, -0.26528069296831724, -0.1390265482077275, -0.2225029588356534, 0.06659005997422081, -0.04891704631983728, -0.2157540233663073, 0.4295863911249144, 0.09009912941274384, 0.2131938760379149, 0.005148285268855992, 0.24393798513037543, 0.21038995885480477, 0.05628926024061217, 0.07860157205673154, 0.24694632120106258, 0.16250808352744708, 0.05017494168683326, -0.31315548293372636, 0.024247768377604825, 0.04718011764118508] |
711.492 | State selective differential cross sections for single and double
electron capture in $He\sp{1,2+}-He$ and $p-He$ collisons | Using the COLTRIMStechnique, scattering angle differential cross sections for
single and double electron capture in collisions of protons and $He\sp{1,2+}$
projectiles with helium atoms for incident energies of $60-630 keV/u$ are
measured. We also report new theoretical results obtained by means of four-body
one-channel distorted wave models (CDW-BFS, CDW-BIS and BDW), and find mixed
agreement with the measured data.
| physics.atom-ph | using the coltrimstechnique scattering angle differential cross sections for single and double electron capture in collisions of protons and hesp12 projectiles with helium atoms for incident energies of 60630 kevu are measured we also report new theoretical results obtained by means of fourbody onechannel distorted wave models cdwbfs cdwbis and bdw and find mixed agreement with the measured data | [['using', 'the', 'coltrimstechnique', 'scattering', 'angle', 'differential', 'cross', 'sections', 'for', 'single', 'and', 'double', 'electron', 'capture', 'in', 'collisions', 'of', 'protons', 'and', 'hesp12', 'projectiles', 'with', 'helium', 'atoms', 'for', 'incident', 'energies', 'of', '60630', 'kevu', 'are', 'measured', 'we', 'also', 'report', 'new', 'theoretical', 'results', 'obtained', 'by', 'means', 'of', 'fourbody', 'onechannel', 'distorted', 'wave', 'models', 'cdwbfs', 'cdwbis', 'and', 'bdw', 'and', 'find', 'mixed', 'agreement', 'with', 'the', 'measured', 'data']] | [-0.03994265015299553, 0.2000482057100507, -0.04477021582769575, 0.0823606025358593, 0.06601608230697888, -0.13688388032217821, 0.012297804432886618, 0.40054230116031786, -0.20420111539014787, -0.33729764512153687, -0.10205964050988701, -0.40352571879824, 0.012015646892703243, 0.23418920035301535, 0.09919637548564761, 0.11041400164227795, 0.15820600744336843, -0.0030779445164457516, -0.08791644141698877, -0.1470350732130033, 0.33958612889465356, 0.08129125939578646, 0.19976101005104957, 0.12870442242947994, 0.08932491471447672, 0.10317521754445301, -0.015312142463194, 0.00763209840213811, -0.18347833644495243, 0.10862135664286109, 0.26021748297305886, -0.016274189214325614, 0.05155639098612247, -0.4753195250199901, -0.15379249218299432, 0.014425847821661996, 0.13037874248672138, 0.1166920895791716, -0.1159097052446601, -0.3028006632467387, -0.006546399970021512, -0.18094577228529724, -0.1531055873622083, -0.07208201695337063, 0.01739290797289599, 0.09833271951518124, -0.3033243323917742, 0.11036109741662922, -0.04964702007257276, 0.05516737509794809, -0.09545438937601392, -0.19824275648635295, -0.05749223864188901, -0.0033125899973566885, 0.03722933424567735, -0.0017974699450725759, 0.13670273198470198, -0.08430524587122447, -0.1347334563680407, 0.3860682232512368, -0.06349937402194848, -0.1301692592807942, 0.11307845061162004, -0.22609134997172212, -0.059686447282459726, 0.2288524743548974, 0.18198142133446205, 0.12101414192605901, -0.14690027427342203, 0.005955315156218906, -0.03207116752525541, 0.16990148972857883, 0.14740825114185335, 0.018232800177362084, 0.14080207662105007, 0.19173930292621394, -0.06591329247587258, 0.049298255135201745, -0.20715004392830585, -0.06607219799318248, -0.27373636334582613, -0.10116005177109468, -0.09442858423830734, -0.0022801997097472108, -0.0023656787611630366, -0.08307484916790768, 0.30082019747890254, 0.04153243931769221, 0.2391903126500202, 0.0014734958229517495, 0.28579744165418325, 0.14660739783128654, -0.005997588237126668, 0.025740786688402295, 0.3277437190904661, 0.20517226036517294, 0.08560609400134396, -0.23828778814317453, 0.0441535127400938, -0.014301322917971346] |
711.4921 | Use of Complex Lie Symmetries for Linearization of Systems of
Differential Equations - II: Partial Differential Equations | The linearization of complex ordinary differential equations is studied by
extending Lie's criteria for linearizability to complex functions of complex
variables. It is shown that the linearization of complex ordinary differential
equations implies the linearizability of systems of partial differential
equations corresponding to those complex ordinary differential equations. The
invertible complex transformations can be used to obtain invertible real
transformations that map a system of nonlinear partial differential equations
into a system of linear partial differential equation. Explicit invariant
criteria are given that provide procedures for writing down the solutions of
the linearized equations. A few non-trivial examples are mentioned.
| math.CA | the linearization of complex ordinary differential equations is studied by extending lies criteria for linearizability to complex functions of complex variables it is shown that the linearization of complex ordinary differential equations implies the linearizability of systems of partial differential equations corresponding to those complex ordinary differential equations the invertible complex transformations can be used to obtain invertible real transformations that map a system of nonlinear partial differential equations into a system of linear partial differential equation explicit invariant criteria are given that provide procedures for writing down the solutions of the linearized equations a few nontrivial examples are mentioned | [['the', 'linearization', 'of', 'complex', 'ordinary', 'differential', 'equations', 'is', 'studied', 'by', 'extending', 'lies', 'criteria', 'for', 'linearizability', 'to', 'complex', 'functions', 'of', 'complex', 'variables', 'it', 'is', 'shown', 'that', 'the', 'linearization', 'of', 'complex', 'ordinary', 'differential', 'equations', 'implies', 'the', 'linearizability', 'of', 'systems', 'of', 'partial', 'differential', 'equations', 'corresponding', 'to', 'those', 'complex', 'ordinary', 'differential', 'equations', 'the', 'invertible', 'complex', 'transformations', 'can', 'be', 'used', 'to', 'obtain', 'invertible', 'real', 'transformations', 'that', 'map', 'a', 'system', 'of', 'nonlinear', 'partial', 'differential', 'equations', 'into', 'a', 'system', 'of', 'linear', 'partial', 'differential', 'equation', 'explicit', 'invariant', 'criteria', 'are', 'given', 'that', 'provide', 'procedures', 'for', 'writing', 'down', 'the', 'solutions', 'of', 'the', 'linearized', 'equations', 'a', 'few', 'nontrivial', 'examples', 'are', 'mentioned']] | [-0.19874320615897886, -0.0017962047143373638, -0.06922645735554397, 0.10759209409821778, -0.16268612024839968, -0.1495261009549722, -0.07600740654394031, 0.24280035480856896, -0.3442865187302232, -0.26148569989949466, 0.13701469908002764, -0.291547390059568, -0.19497527804225684, 0.2194487330527045, -0.03712494376115501, 0.16252931512892246, 0.03850520483218133, 0.04031811510474654, -0.15132335824193432, -0.27782005005516114, 0.408489311337471, -0.1046636768989265, 0.1750070217717439, -0.08781205950304866, 0.24021812360733746, -0.024443915877491236, -0.06927939826855437, 0.016722038267180325, -0.09824733996640134, 0.0860211375169456, 0.3235721815750003, 0.10686901764478535, 0.19444069635123015, -0.418649719953537, -0.17883495430462062, 0.05639338403940201, 0.11424943358637392, 0.10079430313780904, 0.0032248117588460443, -0.30659981005243025, 0.1149447823036462, -0.09192849449813366, -0.19909353862982243, -0.13536938700824977, 0.03795248246286064, 0.06890844909474253, -0.2817309867986478, 0.07679732521064579, 0.12797798418905587, 0.07618029291654238, -0.07204255830030888, -0.0514538906305097, -0.08923556646797806, 0.03740202803630382, -0.0444082694943063, -0.07115186724811792, 0.09192357427906245, -0.10583850814029575, -0.08440600293688476, 0.3905655158590525, -0.05685253683128394, -0.32922130086459217, 0.14905320069752634, -0.10915953030344099, -0.12752398999175057, 0.21814280231134034, 0.17345755078364164, 0.19405217178165912, -0.20526374443434178, 0.13889404702931643, -0.060516075543127955, 0.15785690997727214, 0.06556979936547577, -0.036846347309183326, 0.07838898133486509, 0.07516654526814819, 0.09935980388429017, 0.07647390174097382, 0.12125230290461332, -0.18172480691224335, -0.328410404548049, -0.18782114741392433, 0.003983714799396694, 0.10811202954733744, -0.07778118910937337, -0.1824428373677074, 0.35034934600815176, 0.08926367251668126, 0.1568973387638107, 0.02735799750080332, 0.2660649613104761, 0.31886477041989564, 0.04659073474984325, -0.031784575711935756, 0.1772723101824522, 0.23916737146908418, 0.12108614763710648, -0.1899090086016804, 0.0314301220420748, 0.14804670573212206] |
711.4922 | Evolution of asymptotic giant branch stars II. Optical to far-infrared
isochrones with improved TP-AGB models | We present a large set of theoretical isochrones, whose distinctive features
mostly reside on the greatly improved treatment of the thermally pulsing
asymptotic giant branch (TP-AGB) phase. Essentially, we have coupled the TP-AGB
tracks described in Paper I, at their stages of pre-flash quiescent H-shell
burning, with the evolutionary tracks for the previous evolutionary phases from
Girardi et al. (2000). Theoretical isochrones for any intermediate value of age
and metallicity are then derived by interpolation in the grids. We take care
that the isochrones keep, to a good level of detail, the several peculiarities
present in these TP-AGB tracks. Theoretical isochrones are then converted to
about 20 different photometric systems -- including traditional ground-based
systems, and those of recent major wide-field surveys such as SDSS, OGLE,
DENIS, 2MASS, UKIDSS, etc., -- by means of synthetic photometry applied to an
updated library of stellar spectra, suitably extended to include C-type stars.
Finally, we correct the predicted photometry by the effect of circumstellar
dust during the mass-losing stages of the AGB evolution, which allows us to
improve the results for the optical-to-infrared systems, and to simulate mid-
and far-IR systems such as those of Spitzer and AKARI. Access to the data is
provided both via a web repository of static tables
(http://stev.oapd.inaf.it/dustyAGB07 and CDS), and via an interactive web
interface (http://stev.oapd.inaf.it/cmd) that provides tables for any
intermediate value of age and metallicity, for several photometric systems, and
for different choices of dust properties.
| astro-ph | we present a large set of theoretical isochrones whose distinctive features mostly reside on the greatly improved treatment of the thermally pulsing asymptotic giant branch tpagb phase essentially we have coupled the tpagb tracks described in paper i at their stages of preflash quiescent hshell burning with the evolutionary tracks for the previous evolutionary phases from girardi et al 2000 theoretical isochrones for any intermediate value of age and metallicity are then derived by interpolation in the grids we take care that the isochrones keep to a good level of detail the several peculiarities present in these tpagb tracks theoretical isochrones are then converted to about 20 different photometric systems including traditional groundbased systems and those of recent major widefield surveys such as sdss ogle denis 2mass ukidss etc by means of synthetic photometry applied to an updated library of stellar spectra suitably extended to include ctype stars finally we correct the predicted photometry by the effect of circumstellar dust during the masslosing stages of the agb evolution which allows us to improve the results for the opticaltoinfrared systems and to simulate mid and farir systems such as those of spitzer and akari access to the data is provided both via a web repository of static tables httpstevoapdinafitdustyagb07 and cds and via an interactive web interface httpstevoapdinafitcmd that provides tables for any intermediate value of age and metallicity for several photometric systems and for different choices of dust properties | [['we', 'present', 'a', 'large', 'set', 'of', 'theoretical', 'isochrones', 'whose', 'distinctive', 'features', 'mostly', 'reside', 'on', 'the', 'greatly', 'improved', 'treatment', 'of', 'the', 'thermally', 'pulsing', 'asymptotic', 'giant', 'branch', 'tpagb', 'phase', 'essentially', 'we', 'have', 'coupled', 'the', 'tpagb', 'tracks', 'described', 'in', 'paper', 'i', 'at', 'their', 'stages', 'of', 'preflash', 'quiescent', 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0.03726544595418214] |
711.4923 | A search of very low amplitude magnetoacoustic pulsations with HARPS | We have obtained time-resolved spectroscopic observations for a sample of 10
cool Ap stars using the ultra-stable spectrograph HARPS at the ESO 3.6-m
telescope. The aim of our study was to search for low-amplitude oscillations in
Ap stars with no or inconclusive evidence of pulsational variability. Here we
report initial results of our investigation. We confirm the presence of ~16-min
period pulsations in beta CrB (HD 137909) and demonstrate multiperiodic
character of oscillations in this star. Furthermore, we discovered very low
amplitude 9-min pulsations in HD 75445 - an object spectroscopically very
similar to known roAp stars.
| astro-ph | we have obtained timeresolved spectroscopic observations for a sample of 10 cool ap stars using the ultrastable spectrograph harps at the eso 36m telescope the aim of our study was to search for lowamplitude oscillations in ap stars with no or inconclusive evidence of pulsational variability here we report initial results of our investigation we confirm the presence of 16min period pulsations in beta crb hd 137909 and demonstrate multiperiodic character of oscillations in this star furthermore we discovered very low amplitude 9min pulsations in hd 75445 an object spectroscopically very similar to known roap stars | [['we', 'have', 'obtained', 'timeresolved', 'spectroscopic', 'observations', 'for', 'a', 'sample', 'of', '10', 'cool', 'ap', 'stars', 'using', 'the', 'ultrastable', 'spectrograph', 'harps', 'at', 'the', 'eso', '36m', 'telescope', 'the', 'aim', 'of', 'our', 'study', 'was', 'to', 'search', 'for', 'lowamplitude', 'oscillations', 'in', 'ap', 'stars', 'with', 'no', 'or', 'inconclusive', 'evidence', 'of', 'pulsational', 'variability', 'here', 'we', 'report', 'initial', 'results', 'of', 'our', 'investigation', 'we', 'confirm', 'the', 'presence', 'of', '16min', 'period', 'pulsations', 'in', 'beta', 'crb', 'hd', '137909', 'and', 'demonstrate', 'multiperiodic', 'character', 'of', 'oscillations', 'in', 'this', 'star', 'furthermore', 'we', 'discovered', 'very', 'low', 'amplitude', '9min', 'pulsations', 'in', 'hd', '75445', 'an', 'object', 'spectroscopically', 'very', 'similar', 'to', 'known', 'roap', 'stars']] | [-0.14415463789676627, 0.13104296401684468, -0.11345336821070441, 0.035962346720919816, -0.1827322099563135, -0.11835128401896806, 0.17366888974943467, 0.4169184638447659, -0.1052463323288467, -0.3354986628056854, 0.07373078827876398, -0.2994820265580089, -0.08920264823151933, 0.26238490225026206, -0.08226077970097302, 0.0012673395936207105, 0.22654853530869049, -0.03887568580447345, 0.012535117671734864, -0.2630471404521696, 0.24350685681847314, 0.08892974754424907, 0.12511026089940902, -0.1186097038819665, 0.016255390154378067, -0.15105868125915206, -0.09809971020603302, -0.09672222479987609, -0.16696963107034374, -0.02228709013872249, 0.251565679805153, 0.08959281986819641, 0.1842868439152196, -0.2993813718675219, -0.19916806499203366, 0.029657080164930273, 0.2212794005910876, 0.03032179667504244, -0.09564573589652296, -0.3007944229169078, 0.12417698904911997, -0.13165317806265048, -0.18184038012298526, -0.03180541130163336, 0.07497248186239151, 0.030578782934675454, -0.2466731416261805, 0.07747980382328512, 0.008471341453172186, 0.2440214010170831, -0.22531307915786422, -0.11364006400308622, 0.0055143594458919535, 0.08190476908148216, 0.027751612637232068, 0.04426621643435811, -0.011078261995627996, -0.0917030445410199, -0.05001445507170052, 0.33794555891185035, -0.20768069641123857, 0.05458384546481313, 0.2341918762252536, -0.2910795093874537, -0.23962903097872773, 0.09762440079082084, 0.1581905674319514, 0.2137741235094846, -0.1593769344210785, -0.04176593743926865, 0.005213089302302369, 0.26384772254674826, 0.08741236614283696, 0.09361380930884831, 0.29793296293706023, 0.15812162268826718, -0.03218481498419918, 0.11273090756918874, -0.3643150857038876, 0.03788337568121572, -0.19266157775556528, -0.10661519438989701, -0.11825973550058021, 0.05010191678389987, -0.062098556899018734, -0.13723858407828757, 0.3835733490113559, 0.11722773628719953, 0.1388203456036506, 0.012985844530605821, 0.2703813137787004, 0.07996541600404007, 0.08075664202906116, 0.09141028197782655, 0.36921184205560276, 0.21425607866076854, 0.16475308529271554, -0.32436977620286644, 0.054979763784876436, -0.0379031640227123] |
711.4924 | Nonuniform Bribery | We study the concept of bribery in the situation where voters are willing to
change their votes as we ask them, but where their prices depend on the nature
of the change we request. Our model is an extension of the one of Faliszewski
et al. [FHH06], where each voter has a single price for any change we may ask
for. We show polynomial-time algorithms for our version of bribery for a broad
range of voting protocols, including plurality, veto, approval, and utility
based voting. In addition to our polynomial-time algorithms we provide
NP-completeness results for a couple of our nonuniform bribery problems for
weighted voters, and a couple of approximation algorithms for NP-complete
bribery problems defined in [FHH06] (in particular, an FPTAS for
plurality-weighted-$bribery problem).
| cs.GT cs.CC cs.MA | we study the concept of bribery in the situation where voters are willing to change their votes as we ask them but where their prices depend on the nature of the change we request our model is an extension of the one of faliszewski et al fhh06 where each voter has a single price for any change we may ask for we show polynomialtime algorithms for our version of bribery for a broad range of voting protocols including plurality veto approval and utility based voting in addition to our polynomialtime algorithms we provide npcompleteness results for a couple of our nonuniform bribery problems for weighted voters and a couple of approximation algorithms for npcomplete bribery problems defined in fhh06 in particular an fptas for pluralityweightedbribery problem | [['we', 'study', 'the', 'concept', 'of', 'bribery', 'in', 'the', 'situation', 'where', 'voters', 'are', 'willing', 'to', 'change', 'their', 'votes', 'as', 'we', 'ask', 'them', 'but', 'where', 'their', 'prices', 'depend', 'on', 'the', 'nature', 'of', 'the', 'change', 'we', 'request', 'our', 'model', 'is', 'an', 'extension', 'of', 'the', 'one', 'of', 'faliszewski', 'et', 'al', 'fhh06', 'where', 'each', 'voter', 'has', 'a', 'single', 'price', 'for', 'any', 'change', 'we', 'may', 'ask', 'for', 'we', 'show', 'polynomialtime', 'algorithms', 'for', 'our', 'version', 'of', 'bribery', 'for', 'a', 'broad', 'range', 'of', 'voting', 'protocols', 'including', 'plurality', 'veto', 'approval', 'and', 'utility', 'based', 'voting', 'in', 'addition', 'to', 'our', 'polynomialtime', 'algorithms', 'we', 'provide', 'npcompleteness', 'results', 'for', 'a', 'couple', 'of', 'our', 'nonuniform', 'bribery', 'problems', 'for', 'weighted', 'voters', 'and', 'a', 'couple', 'of', 'approximation', 'algorithms', 'for', 'npcomplete', 'bribery', 'problems', 'defined', 'in', 'fhh06', 'in', 'particular', 'an', 'fptas', 'for', 'pluralityweightedbribery', 'problem']] | [-0.08912028695032667, 0.02110257138128059, -0.05819785871592206, 0.08259282405469263, -0.14192164467829393, -0.20770397739924065, 0.19563043206869588, 0.4143754707846215, -0.2699706407180586, -0.31036931306608323, 0.10142342569457928, -0.2751778944970934, -0.151567027298355, 0.1901899691447767, -0.1650506323411667, 0.03981906712448936, 0.02486409508146164, 0.02734130538637538, 0.017594975612421588, -0.3621590531978196, 0.29094912737941114, -0.011683888034895062, 0.21293767363711344, 0.0753476509495025, 0.08003474266563611, 0.0840901473605233, 0.024929905332515122, 0.05367714307475381, -0.1465077840901033, 0.07246172333389854, 0.3063281620057618, 0.18536157919305976, 0.3666357668419558, -0.3889671855310841, -0.11857751032481409, 0.1981607948664606, 0.07924276532139629, 0.10529708382257116, -0.018058655818553294, -0.22022947130679357, 0.06120799400094079, -0.20331790065771438, -0.051034267847918396, -0.07211236656753241, 0.04144386641257178, 0.05326642354806446, -0.32935556128802823, 0.026221410822354227, 0.0923667134096225, 0.014319202892966872, -0.05779935054412884, -0.10623692337999015, 0.07316967168050569, 0.10942016566944558, 0.008511045686446311, -0.03212663494911787, 0.09580102183560772, -0.16074198907680384, -0.2650120281955091, 0.4429216162581754, 0.028040753514695215, -0.180239060833081, 0.10998008953127253, -0.03810716910302881, -0.21509983668073526, 0.049438447275055135, 0.19900435705979666, 0.17660986953149965, -0.06991804468377334, 0.03129383590644059, -0.14666450050909344, 0.1742479220729291, 0.05632367803965036, 0.011943344889980992, 0.11853347008108972, 0.1676722737464569, 0.14180717651440755, 0.1446089954096521, -0.005492471989738278, -0.14028609091864627, -0.2451448708363786, -0.15026885168286178, -0.1482161281429746, 0.006015605823235299, -0.08290797630982753, -0.18977293583216162, 0.40750673748704236, 0.17104686108868328, 0.14218474134833106, 0.1122588134016766, 0.249908232332654, 0.08626851610881012, -0.022130058082653496, 0.11983748887688285, 0.22300436972958468, 0.030179933546398714, 0.07152713355570425, -0.17739980961517923, 0.14632986272435364, 0.02894462607952395] |
711.4925 | Improved Berezin-Li-Yau inequalities with a remainder term | We give an improvement of sharp Berezin type bounds on the Riesz means
$\sum_k(\Lambda-\lambda_k)_+^\sigma$ of the eigenvalues $\lambda_k$ of the
Dirichlet Laplacian in a domain if $\sigma\geq 3/2$. It contains a correction
term of the order of the standard second term in the Weyl asymptotics. The
result is based on an application of sharp Lieb-Thirring inequalities with
operator valued potential to spectral estimates of the Dirichlet Laplacian in
domains.
| math.SP math-ph math.MP | we give an improvement of sharp berezin type bounds on the riesz means sum_klambdalambda_k_sigma of the eigenvalues lambda_k of the dirichlet laplacian in a domain if sigmageq 32 it contains a correction term of the order of the standard second term in the weyl asymptotics the result is based on an application of sharp liebthirring inequalities with operator valued potential to spectral estimates of the dirichlet laplacian in domains | [['we', 'give', 'an', 'improvement', 'of', 'sharp', 'berezin', 'type', 'bounds', 'on', 'the', 'riesz', 'means', 'sum_klambdalambda_k_sigma', 'of', 'the', 'eigenvalues', 'lambda_k', 'of', 'the', 'dirichlet', 'laplacian', 'in', 'a', 'domain', 'if', 'sigmageq', '32', 'it', 'contains', 'a', 'correction', 'term', 'of', 'the', 'order', 'of', 'the', 'standard', 'second', 'term', 'in', 'the', 'weyl', 'asymptotics', 'the', 'result', 'is', 'based', 'on', 'an', 'application', 'of', 'sharp', 'liebthirring', 'inequalities', 'with', 'operator', 'valued', 'potential', 'to', 'spectral', 'estimates', 'of', 'the', 'dirichlet', 'laplacian', 'in', 'domains']] | [-0.12864021831474554, 0.012983543434957563, -0.06640044629902524, 0.06535705593448844, -0.12970791069571586, -0.08055651709711288, 0.014848446891204837, 0.2845163652810323, -0.2598058922928484, -0.22238860197146149, 0.13939644657383563, -0.344983871694079, -0.14822782655520475, 0.18217963919810512, -0.0979877229752567, 0.05641923121669713, 0.05457388092626763, 0.15144210602567695, -0.09247189984136425, -0.23705385022741907, 0.38640262682319565, -0.01458350381375674, 0.18989556880243233, 0.12179229340707774, 0.028575639055548784, -0.041593770606114584, 0.0039376984487342484, -0.09821559080634923, -0.1908671627204646, 0.17420590436428457, 0.18823489343391403, -0.0048655595939421535, 0.3043341203729677, -0.40308805083965554, -0.16206713065313286, 0.17564795043675557, 0.11964973402620457, -0.027341317549786148, -0.01901058527223273, -0.3205472598783672, 0.07065785032361471, -0.09017167526625973, -0.16852072489393108, -0.052496684879502827, -0.003518383634988876, 0.037130241532234806, -0.3760012692826636, 0.16628115473534255, 0.15744045955772676, 0.03787235681631822, -0.1358692921109169, -0.16145666088799343, 0.05663192846045336, 0.0770813996615984, 0.028945188404416993, 0.0020627726728836182, -0.0013175820041557446, -0.0900964396282421, -0.12928592362988958, 0.302246389527093, -0.13900547520675258, -0.2696621773134479, 0.06361154323402683, -0.1803854812443366, -0.11543507364523761, 0.05194314574713216, 0.10063934301519219, 0.1529974959078519, -0.09949231229941635, 0.19989130417268505, -0.016130488804158044, 0.12680392159039483, 0.11007406758418416, 0.05125037747818757, 0.040748186241698396, 0.09741931692834067, 0.19027734131497495, 0.17771004311576047, -0.07855354183052174, -0.07043323871980914, -0.40457575450487, -0.1903844534227734, -0.29652102820246534, 0.09078420824645196, -0.20468603925580872, -0.2734576367536861, 0.4168583429692423, 0.047417371629682535, 0.20401005164774902, 0.06956907895886723, 0.2010741141926059, 0.21274193729657462, 0.07838047327994205, 0.05505482361460214, 0.13843520111678279, 0.21586694634820827, 0.12974908264518223, -0.1754304729098187, -0.015144793371505597, 0.19540458382107317] |
711.4926 | Absolute frequency measurement of the magnesium intercombination
transition $^1S_0 \to ^3P_1$ | We report on a frequency measurement of the $(3s^2)^1S_0\to(3s3p)^3P_1$ clock
transition of $^{24}$Mg on a thermal atomic beam. The intercombination
transition has been referenced to a portable primary Cs frequency standard with
the help of a femtosecond fiber laser frequency comb. The achieved uncertainty
is $2.5\times10^{-12}$ which corresponds to an increase in accuracy of six
orders of magnitude compared to previous results. The measured frequency value
permits the calculation of several other optical transitions from $^1S_0$ to
the $^3P_J$-level system for $^{24}$Mg, $^{25}$Mg and $^{26}$Mg. We describe in
detail the components of our optical frequency standard like the stabilized
spectroscopy laser, the atomic beam apparatus used for Ramsey-Bord\'e
interferometry and the frequency comb generator and discuss the uncertainty
contributions to our measurement including the first and second order Doppler
effect. An upper limit of $3\times10^{-13}$ in one second for the short term
instability of our optical frequency standard was determined by comparison with
a GPS disciplined quartz oscillator.
| physics.atom-ph | we report on a frequency measurement of the 3s21s_0to3s3p3p_1 clock transition of 24mg on a thermal atomic beam the intercombination transition has been referenced to a portable primary cs frequency standard with the help of a femtosecond fiber laser frequency comb the achieved uncertainty is 25times1012 which corresponds to an increase in accuracy of six orders of magnitude compared to previous results the measured frequency value permits the calculation of several other optical transitions from 1s_0 to the 3p_jlevel system for 24mg 25mg and 26mg we describe in detail the components of our optical frequency standard like the stabilized spectroscopy laser the atomic beam apparatus used for ramseyborde interferometry and the frequency comb generator and discuss the uncertainty contributions to our measurement including the first and second order doppler effect an upper limit of 3times1013 in one second for the short term instability of our optical frequency standard was determined by comparison with a gps disciplined quartz oscillator | [['we', 'report', 'on', 'a', 'frequency', 'measurement', 'of', 'the', '3s21s_0to3s3p3p_1', 'clock', 'transition', 'of', '24mg', 'on', 'a', 'thermal', 'atomic', 'beam', 'the', 'intercombination', 'transition', 'has', 'been', 'referenced', 'to', 'a', 'portable', 'primary', 'cs', 'frequency', 'standard', 'with', 'the', 'help', 'of', 'a', 'femtosecond', 'fiber', 'laser', 'frequency', 'comb', 'the', 'achieved', 'uncertainty', 'is', '25times1012', 'which', 'corresponds', 'to', 'an', 'increase', 'in', 'accuracy', 'of', 'six', 'orders', 'of', 'magnitude', 'compared', 'to', 'previous', 'results', 'the', 'measured', 'frequency', 'value', 'permits', 'the', 'calculation', 'of', 'several', 'other', 'optical', 'transitions', 'from', '1s_0', 'to', 'the', '3p_jlevel', 'system', 'for', '24mg', '25mg', 'and', '26mg', 'we', 'describe', 'in', 'detail', 'the', 'components', 'of', 'our', 'optical', 'frequency', 'standard', 'like', 'the', 'stabilized', 'spectroscopy', 'laser', 'the', 'atomic', 'beam', 'apparatus', 'used', 'for', 'ramseyborde', 'interferometry', 'and', 'the', 'frequency', 'comb', 'generator', 'and', 'discuss', 'the', 'uncertainty', 'contributions', 'to', 'our', 'measurement', 'including', 'the', 'first', 'and', 'second', 'order', 'doppler', 'effect', 'an', 'upper', 'limit', 'of', '3times1013', 'in', 'one', 'second', 'for', 'the', 'short', 'term', 'instability', 'of', 'our', 'optical', 'frequency', 'standard', 'was', 'determined', 'by', 'comparison', 'with', 'a', 'gps', 'disciplined', 'quartz', 'oscillator']] | [-0.09697877208535106, 0.15101157579565785, -0.030922306701540947, -0.03162566939583765, -0.017082462845465694, -0.10575986195964596, 0.08533629354011889, 0.4310268804084701, -0.20853779220487922, -0.27622135692777544, 0.08501015188103804, -0.2669947476347144, -0.016422575142664406, 0.25516985254123425, -0.004198146912340934, 0.07466092978556378, 0.02713358774333476, 0.03079347639159562, -0.03652777516832336, -0.1088019090962823, 0.24952695866485533, 0.10525348370608228, 0.2929482198356149, 0.020492038510453243, 0.10866604382709528, -0.02709970350984711, -0.007577875163406134, -0.08522797232637039, -0.12117393974525233, 0.12522673758212477, 0.23758268915116787, 0.023713524457819473, 0.22569768510472316, -0.36637380639186656, -0.19633367040958732, 0.07355024244409436, 0.11077446607687773, 0.1535304525474576, -0.02011131575757948, -0.3072369913958634, -0.020251138546602585, -0.1996475714691676, -0.13503778933619076, -0.05529235507576512, 0.008956683041432347, 0.05637370663372657, -0.2727482225566816, 0.032462264381674454, 0.032749781698489994, 0.0956934249811755, -0.06862903594111021, -0.11924163398306029, 0.03152087010676041, 0.08693439455834241, -0.024901904698568754, 0.0490821003406428, 0.16251489985435724, -0.04788407926949171, -0.12372692274407317, 0.414577775551245, -0.13936793830959152, -0.08603129898200187, 0.14256885787546755, -0.1842795457207383, -0.06453055957965075, 0.15705851170544824, 0.12810377502151263, 0.09005752490357292, -0.11100745265363142, -0.0033669799166277815, 0.05657398477883245, 0.2734376970344247, 0.15237622493310857, 0.09373517282372819, 0.14876233558289897, 0.19272675298196143, 0.015417457601077517, 0.1452047541981581, -0.16550696598521122, -0.03255160537978204, -0.24596624973659906, -0.1047715671802274, -0.16877768687957612, 0.02305885121369591, -0.043313391706294335, -0.09558808233720274, 0.41864024653123355, 0.14490759192416683, 0.14233548266407198, -0.0324719014558165, 0.3577458081760993, 0.15499347912741657, 0.06966805461650857, -0.04666474612261085, 0.34293964786980397, 0.1680359001680373, 0.12663207288819534, -0.29571069267060524, -0.011786551086399227, 0.030771818603030764] |
711.4927 | The double pulsar: evolutionary constraints from the system geometry | The double pulsar system PSR J0737-3039A/B is a highly relativistic double
neutron star (DNS) binary, with a 2.4-hour orbital period. The low mass of the
second-formed NS, as well the low system eccentricity and proper motion, point
to a different evolutionary scenario compared to other known DNS systems. We
describe analysis of the pulse profile shape over 6 years of observations, and
present the resulting constraints on the system geometry. We find the recycled
pulsar in this system, PSR J0737-3039A, to have a low misalignment between its
spin and orbital angular momentum axes, with a 68.3% upper limit of 6.1
degrees, assuming emission from both magnetic poles. This tight constraint
lends credence to the idea that the supernova that formed the second pulsar was
relatively symmetric, possibly involving electron-capture onto an O-Ne-Mg core.
| astro-ph | the double pulsar system psr j07373039ab is a highly relativistic double neutron star dns binary with a 24hour orbital period the low mass of the secondformed ns as well the low system eccentricity and proper motion point to a different evolutionary scenario compared to other known dns systems we describe analysis of the pulse profile shape over 6 years of observations and present the resulting constraints on the system geometry we find the recycled pulsar in this system psr j07373039a to have a low misalignment between its spin and orbital angular momentum axes with a 683 upper limit of 61 degrees assuming emission from both magnetic poles this tight constraint lends credence to the idea that the supernova that formed the second pulsar was relatively symmetric possibly involving electroncapture onto an onemg core | [['the', 'double', 'pulsar', 'system', 'psr', 'j07373039ab', 'is', 'a', 'highly', 'relativistic', 'double', 'neutron', 'star', 'dns', 'binary', 'with', 'a', '24hour', 'orbital', 'period', 'the', 'low', 'mass', 'of', 'the', 'secondformed', 'ns', 'as', 'well', 'the', 'low', 'system', 'eccentricity', 'and', 'proper', 'motion', 'point', 'to', 'a', 'different', 'evolutionary', 'scenario', 'compared', 'to', 'other', 'known', 'dns', 'systems', 'we', 'describe', 'analysis', 'of', 'the', 'pulse', 'profile', 'shape', 'over', '6', 'years', 'of', 'observations', 'and', 'present', 'the', 'resulting', 'constraints', 'on', 'the', 'system', 'geometry', 'we', 'find', 'the', 'recycled', 'pulsar', 'in', 'this', 'system', 'psr', 'j07373039a', 'to', 'have', 'a', 'low', 'misalignment', 'between', 'its', 'spin', 'and', 'orbital', 'angular', 'momentum', 'axes', 'with', 'a', '683', 'upper', 'limit', 'of', '61', 'degrees', 'assuming', 'emission', 'from', 'both', 'magnetic', 'poles', 'this', 'tight', 'constraint', 'lends', 'credence', 'to', 'the', 'idea', 'that', 'the', 'supernova', 'that', 'formed', 'the', 'second', 'pulsar', 'was', 'relatively', 'symmetric', 'possibly', 'involving', 'electroncapture', 'onto', 'an', 'onemg', 'core']] | [-0.1881303555328623, 0.11612503621055432, -0.07456562121545798, 0.077150197555241, -0.13744843009460186, -0.09857607639177625, 0.0862500026902618, 0.3385956668876168, -0.23366856577813178, -0.3509315222473745, 0.08589227841807051, -0.244533449630218, -0.02654924904017296, 0.24434192790264697, -0.01665954477034677, -0.016668959318124513, 0.15383559328160787, -0.000914650006373798, -0.12093845360012571, -0.18321805757448983, 0.2707252467779401, 0.08754347084454239, 0.13656444321526565, -0.032506311746468224, 0.12725706719898416, -0.014697250836577854, 0.049165966093174314, -0.06934066042584136, -0.1002061088098768, 0.04312522065146525, 0.16942487192251351, 0.11895719167419282, 0.14726252147325672, -0.3858197515522291, -0.18367779614837995, 0.019728281723836057, 0.14773577568646437, 0.05376991351604238, -0.05022144058974866, -0.2719262721256836, 0.07542018710873685, -0.32457006063760446, -0.18370278597340212, 0.03562084530021547, 0.06003308083504943, 0.07191766638665888, -0.2155966676939699, 0.09981729624323771, 0.08218853993173268, 0.01652090296764592, -0.12920980730804763, -0.11501090443532046, -0.0413455964902878, 0.02747104341458333, 0.07984695312763124, 0.09012113742992506, 0.11475117473435917, -0.07437906330941539, -0.08102034283031646, 0.3868175716300432, -0.05550578646922022, -0.11306314768870991, 0.20503755719085834, -0.23757536551754052, -0.14982271257479837, 0.16194840339957772, 0.16897481069830073, 0.11807723944180441, -0.1488422866791655, -0.010271728016686436, -0.02832484410907653, 0.23358134106453682, 0.056675327694939825, 0.030254898906899422, 0.3717117960515775, 0.1673255465059065, 0.019853270224022463, 0.1128647255302491, -0.2431454072947985, -0.09127748751298602, -0.19513368565603195, -0.06349447025056172, -0.13497679613001515, 0.09820327745606997, -0.11162650015581962, -0.1251157315770038, 0.34915585945451394, 0.0740130876726646, 0.18557452500790805, 0.018279248915955816, 0.3120332193259794, 0.1326512396116776, 0.029880302170089346, 0.10788979541853462, 0.2985232410658347, 0.21768250283470056, 0.11184496582657295, -0.27711622131646163, 0.0687013990630893, -0.022916649220532326] |
711.4928 | Kaonic hydrogen versus the $K^{-}p$ low energy data | We present an exact solution to the $K^{-}$-proton bound state problem
formulated in the momentum space. The 1s level characteristics of the kaonic
hydrogen are computed simultaneously with the available low energy $K^{-}p$
data. In the strong interaction sector the meson-baryon interactions are
described by means of an effective (chirally motivated) separable potential and
its parameters are fitted to the experimental data.
| hep-ph | we present an exact solution to the kproton bound state problem formulated in the momentum space the 1s level characteristics of the kaonic hydrogen are computed simultaneously with the available low energy kp data in the strong interaction sector the mesonbaryon interactions are described by means of an effective chirally motivated separable potential and its parameters are fitted to the experimental data | [['we', 'present', 'an', 'exact', 'solution', 'to', 'the', 'kproton', 'bound', 'state', 'problem', 'formulated', 'in', 'the', 'momentum', 'space', 'the', '1s', 'level', 'characteristics', 'of', 'the', 'kaonic', 'hydrogen', 'are', 'computed', 'simultaneously', 'with', 'the', 'available', 'low', 'energy', 'kp', 'data', 'in', 'the', 'strong', 'interaction', 'sector', 'the', 'mesonbaryon', 'interactions', 'are', 'described', 'by', 'means', 'of', 'an', 'effective', 'chirally', 'motivated', 'separable', 'potential', 'and', 'its', 'parameters', 'are', 'fitted', 'to', 'the', 'experimental', 'data']] | [-0.13104011930174178, 0.13968293956572925, -0.030815232377086256, 0.12136753266977687, -0.027668187203216215, -0.11439078333487193, 0.03853375605502797, 0.36304171088962783, -0.2769728428533962, -0.328023424191821, 0.02841178708965139, -0.3180363881101291, -0.04707820228331031, 0.10797284755315031, 0.0498728372697388, 0.08924776859367417, 0.06585434694293767, 0.05020736111328006, -0.041715294047589266, -0.22172149745071487, 0.3300115759634683, 0.07697498110393362, 0.22586821373026336, 0.10882675815974513, 0.045356643585217814, 0.01876023820706553, 0.012126869236629817, -0.03840568117213421, -0.11771647544622782, 0.13732987757764697, 0.2528391154417242, 0.1174823589427697, 0.16311917010875, -0.44175075979963424, -0.18193412167696102, 0.06992562145235078, 0.12743756133732537, 0.12594231260159322, -0.043812712128724784, -0.34532630034992773, 0.0019404712553706862, -0.18581093077157293, -0.1837884914205079, -0.12041170071930654, -0.009231419287501805, -0.008667668643137139, -0.2784917264756176, 0.09223968763000166, -0.0651825002071658, 0.01347524328758159, -0.16326459490641532, -0.16318534392743342, -0.04884265188968951, 0.09876250940555285, 0.042317013136081154, 0.05067241590915082, 0.07602811617694134, -0.15468107479354065, -0.06706546730692348, 0.3986926327399429, -0.08346352888451468, -0.19960656374572747, 0.14117349230594212, -0.07439837681369917, -0.09236528194930044, 0.15514481758638735, 0.11472003810077665, 0.07197852745171517, -0.18533217190434376, 0.13206196209425652, -0.041837481165965716, 0.18630500721009147, -0.01037551783355734, 0.04930486147772641, 0.14581260423836928, 0.14349959080197638, -0.01420680092527501, 0.11821697076647392, -0.043464223478710456, -0.1109711161454118, -0.2919619022117507, -0.03927204094079864, -0.2168652735849572, -0.014639498027522237, -0.06754586730511941, -0.10040653011040582, 0.38305878455960946, 0.0614282614025738, 0.23366418269823394, 0.0028189631749785714, 0.3009865203451726, 0.17866331909693056, 0.018233703118899176, 0.06783252308565763, 0.2891086424445553, 0.14580900155969204, 0.06648793269789988, -0.26864880979842237, 0.02221990710184459, 0.03733865742481524] |
711.4929 | Moduli space of stable maps to projective space via GIT | We compare the Kontsevich moduli space of genus 0 stable maps to projective
space with the quasi-map space when $d=3$. More precisely, we prove that when
$d=3$, the obvious birational map from the quasi-map space to the moduli space
of stable maps is the composition of three blow-ups followed by two blow-downs.
Furthermore, we identify the blow-up/down centers explicitly in terms of the
moduli spaces for lower degrees. Using this, we calculate the Betti numbers,
the integral Picard group, and the rational cohomology ring. The degree two
case is worked out as a warm-up.
| math.AG | we compare the kontsevich moduli space of genus 0 stable maps to projective space with the quasimap space when d3 more precisely we prove that when d3 the obvious birational map from the quasimap space to the moduli space of stable maps is the composition of three blowups followed by two blowdowns furthermore we identify the blowupdown centers explicitly in terms of the moduli spaces for lower degrees using this we calculate the betti numbers the integral picard group and the rational cohomology ring the degree two case is worked out as a warmup | [['we', 'compare', 'the', 'kontsevich', 'moduli', 'space', 'of', 'genus', '0', 'stable', 'maps', 'to', 'projective', 'space', 'with', 'the', 'quasimap', 'space', 'when', 'd3', 'more', 'precisely', 'we', 'prove', 'that', 'when', 'd3', 'the', 'obvious', 'birational', 'map', 'from', 'the', 'quasimap', 'space', 'to', 'the', 'moduli', 'space', 'of', 'stable', 'maps', 'is', 'the', 'composition', 'of', 'three', 'blowups', 'followed', 'by', 'two', 'blowdowns', 'furthermore', 'we', 'identify', 'the', 'blowupdown', 'centers', 'explicitly', 'in', 'terms', 'of', 'the', 'moduli', 'spaces', 'for', 'lower', 'degrees', 'using', 'this', 'we', 'calculate', 'the', 'betti', 'numbers', 'the', 'integral', 'picard', 'group', 'and', 'the', 'rational', 'cohomology', 'ring', 'the', 'degree', 'two', 'case', 'is', 'worked', 'out', 'as', 'a', 'warmup']] | [-0.179325647563273, 0.0993004067705804, -0.10188352416760178, 0.11798813945728966, -0.04555485197292861, -0.09305708444306768, 0.005233317213032836, 0.3363102625014, -0.33139271629593703, -0.2030957783221878, 0.11470013113206713, -0.2365423489201774, -0.1705825413096576, 0.19302711920231902, -0.12540978982403714, -0.01932030429773193, -0.01846418236081879, 0.04332188879370048, -0.1413765584384041, -0.3773797638739349, 0.4831783722645493, -0.028277854324989422, 0.19884557302500452, -0.009599343042380066, 0.1407506094684684, 0.0031761545475111693, -0.006733252977331479, -0.017748000297097048, -0.1907917586364439, 0.15501383740970645, 0.29088204713307964, 0.038954441533273744, 0.12385087376160006, -0.3677114555011353, -0.14747154671618695, 0.23457680754263394, 0.1301291289749325, 0.039821124152450635, 0.052767002268322566, -0.23558766520782423, 0.06293520707416758, -0.11182570136393175, -0.19246832175200346, -0.14940853638233997, 0.06791491479042076, 0.0034757458094146943, -0.1715134596552259, -0.0620336298460281, -0.000268333020710176, 0.1335010265791288, -0.06602046859040055, -0.10350779884604998, -0.14923054357159443, 0.10672499862141527, 0.005336403240880338, 0.06375515289724834, 0.09891346065447695, -0.10669219597763512, -0.07207580573008125, 0.3609527431188091, -0.07547277543613667, -0.2085711530620052, 0.10133889585142575, -0.17798417563780503, -0.1649724853435351, 0.1657324090339644, 0.0337248237062526, 0.21731805568060247, 0.02593416514179309, 0.16404026172872413, -0.06065734164659134, 0.10590470958531144, 0.12730892272966524, -0.049962333618833496, 0.12089736966706652, 0.08026894797340677, 0.10621334651957005, 0.19233160578615724, -0.07528488495216895, -0.08616850031877778, -0.36438707150118327, -0.24630377512745638, -0.10946226042885614, 0.11838790054823603, -0.16593756648866453, -0.11101924427734908, 0.395292456867674, 0.05887804886386279, 0.2341882699639887, 0.12405762343256864, 0.26151582309275223, 0.02260229637801287, 0.010195489091578351, 0.03800627578710837, 0.18142603661224085, 0.1568856584534089, 0.006226783858672265, -0.14413398916092052, -0.06887354355265377, 0.2443030490489897] |
711.493 | On the recent paper on quark confinement by Tomboulis | We point out missing links in the recent paper by Tomboulis in which he
claims a rigorous proof of quark confinement in 4D lattice gauge theory. We
also discuss if it is possible to correct his proof.
| hep-th hep-lat math-ph math.MP | we point out missing links in the recent paper by tomboulis in which he claims a rigorous proof of quark confinement in 4d lattice gauge theory we also discuss if it is possible to correct his proof | [['we', 'point', 'out', 'missing', 'links', 'in', 'the', 'recent', 'paper', 'by', 'tomboulis', 'in', 'which', 'he', 'claims', 'a', 'rigorous', 'proof', 'of', 'quark', 'confinement', 'in', '4d', 'lattice', 'gauge', 'theory', 'we', 'also', 'discuss', 'if', 'it', 'is', 'possible', 'to', 'correct', 'his', 'proof']] | [-0.08862098232163368, 0.1308246431117122, -0.14072619685651483, 0.10814779933315476, -0.11089387828031101, -0.16015040284224055, 0.15413027524797096, 0.3503380221994342, -0.1836474751298492, -0.2443156941617663, 0.028378978727158864, -0.2615744793485548, -0.2168016091391847, 0.07622888175820983, -0.15153813445185488, 0.018627842712039884, 0.05754124046290746, 0.00032251777530119225, -0.02588211604224115, -0.33707679999438495, 0.3138266716882385, 0.05617730965133052, 0.23558870184461814, 0.1871953284544115, 0.045309970155358315, 0.05931291286204312, -0.10593707481952938, -0.030344274020879657, -0.15563422335764845, 0.08877749074049093, 0.21744646898917602, 0.06218306644744164, 0.22852668357459274, -0.4123076620838932, -0.1764682964484736, 0.060266890336532854, 0.13995240393371597, 0.19386507450867244, -0.046787620899645055, -0.2715726418269647, 0.09669832092382617, -0.1831551931194357, -0.18787299431671664, -0.08249317726271378, 0.047007525906067445, -0.09667201370403573, -0.19964588370576902, 0.03172111631342764, 0.09446561364205303, 0.07455046079750802, 0.018482732813100557, -0.0967223479639034, 0.0011415499312853491, 0.028637046636258427, 0.14207998208223363, 0.07493132039451518, 0.0343419904820621, -0.13866137969936873, -0.13580436413050503, 0.3807117965173077, -0.023010385726150627, -0.19554283530325503, 0.15892241264038995, -0.12294742539273323, -0.21428019110730068, 0.06774653527080207, 0.07733825182642888, 0.09826643736026175, -0.1444672911704795, 0.13914929212045832, -0.14308543198716803, 0.12153334364788984, 0.10454978499360182, -0.003855550825293805, 0.22710323099651047, 0.10493885521852486, 0.032388845320186904, 0.08069547844698301, 0.03283723949681263, -0.12525711754947347, -0.4274714246794984, -0.1842282110623814, -0.19110006214799108, 0.12462223666040478, -0.018465339936114645, -0.12714445648865924, 0.3343900351004826, 0.21074976746584415, 0.14883468558105664, -0.0009594213790134401, 0.26107917061528646, 0.08490271680057049, 0.013305815415003815, 0.03417900032237978, 0.26849900684445294, 0.19066669309285242, 0.1240093946280713, -0.12544393012098767, -0.04086687517465671, 0.1871392619670243] |
711.4931 | Complete characterization of weak, ultrashort near-UV pulses by spectral
interferometry | We present a method for a complete characterization of a femtosecond
ultraviolet pulse when a fundamental near-infrared beam is also available. Our
approach relies on generation of second harmonic from the pre-characterized
fundamental, which serves as a reference against which an unknown pulse is
measured using spectral interference (SI). The characterization apparatus is a
modified second harmonic frequency resolved optical gating setup which
additionally allows for taking SI spectrum. The presented method is linear in
the unknown field, simple and sensitive. We checked its accuracy using test
pulses generated in a thick nonlinear crystal, demonstrating the ability to
measure the phase in a broad spectral range, down to 0.1% peak spectral
intensity as well as retrieving pi leaps in the spectral phase.
| physics.optics | we present a method for a complete characterization of a femtosecond ultraviolet pulse when a fundamental nearinfrared beam is also available our approach relies on generation of second harmonic from the precharacterized fundamental which serves as a reference against which an unknown pulse is measured using spectral interference si the characterization apparatus is a modified second harmonic frequency resolved optical gating setup which additionally allows for taking si spectrum the presented method is linear in the unknown field simple and sensitive we checked its accuracy using test pulses generated in a thick nonlinear crystal demonstrating the ability to measure the phase in a broad spectral range down to 01 peak spectral intensity as well as retrieving pi leaps in the spectral phase | [['we', 'present', 'a', 'method', 'for', 'a', 'complete', 'characterization', 'of', 'a', 'femtosecond', 'ultraviolet', 'pulse', 'when', 'a', 'fundamental', 'nearinfrared', 'beam', 'is', 'also', 'available', 'our', 'approach', 'relies', 'on', 'generation', 'of', 'second', 'harmonic', 'from', 'the', 'precharacterized', 'fundamental', 'which', 'serves', 'as', 'a', 'reference', 'against', 'which', 'an', 'unknown', 'pulse', 'is', 'measured', 'using', 'spectral', 'interference', 'si', 'the', 'characterization', 'apparatus', 'is', 'a', 'modified', 'second', 'harmonic', 'frequency', 'resolved', 'optical', 'gating', 'setup', 'which', 'additionally', 'allows', 'for', 'taking', 'si', 'spectrum', 'the', 'presented', 'method', 'is', 'linear', 'in', 'the', 'unknown', 'field', 'simple', 'and', 'sensitive', 'we', 'checked', 'its', 'accuracy', 'using', 'test', 'pulses', 'generated', 'in', 'a', 'thick', 'nonlinear', 'crystal', 'demonstrating', 'the', 'ability', 'to', 'measure', 'the', 'phase', 'in', 'a', 'broad', 'spectral', 'range', 'down', 'to', '01', 'peak', 'spectral', 'intensity', 'as', 'well', 'as', 'retrieving', 'pi', 'leaps', 'in', 'the', 'spectral', 'phase']] | [-0.0569394767001943, 0.08979025481664289, -0.09249596851954206, 0.033138407045044005, -0.06081467801246975, -0.15220101464341287, 0.06125435716335158, 0.4615939419838737, -0.2440779672355437, -0.29342202235730824, 0.07934183729278138, -0.20754933992191313, -0.09114374669619882, 0.2616680229305038, -0.04368722294151905, 0.07407930890264249, 0.01941909401708084, -0.00162337828030596, -0.037205157228974536, -0.13322593404560304, 0.2561669653113626, 0.09559514387472548, 0.2783580400206179, 0.04187313731393365, 0.11455580649027204, 0.021674737044167322, -0.03665769984945655, -0.017646990655387034, -0.09380576614916447, 0.1079268057367356, 0.228534487614286, 0.08009804378370525, 0.23674514406498093, -0.3431769340436478, -0.23232095905285727, 0.05448084326125071, 0.11119814439806476, 0.12460484788619501, -0.07247396135324856, -0.2715279517206745, 0.04703528543964761, -0.12213537260340374, -0.14013654977602305, -0.05732429451232807, -0.01812440133558159, 0.032702707532854355, -0.2971706586950993, 0.043076884720739755, 0.05203760250139462, 0.06924821469230485, -0.034100678583824644, -0.05057122868096425, -0.003206499449557579, 0.10349885006215744, -0.04947409523101371, 0.03258255892433226, 0.11823690857034039, -0.07961005298420787, -0.06892942433382888, 0.3994126046235295, -0.14210345966409374, -0.10835241216433342, 0.1322857080500756, -0.1582228748249959, -0.06981246213077522, 0.17531055028046497, 0.14190438667672006, 0.15166081879173451, -0.14603729553095574, 0.04314341186498078, 0.007851221739909932, 0.2735607210913154, 0.10645577161893492, 0.07478791169180977, 0.19621029483978866, 0.20447559495643544, 0.04522597083638682, 0.16457017328204648, -0.15272008500359646, -0.01545116748874549, -0.30834042469848744, -0.12514088063913045, -0.2341602045592287, 0.05330454063846073, -0.05158375055120292, -0.1582317553788851, 0.46420498074749944, 0.1074522239171335, 0.16855646575396482, 0.007967326289126803, 0.3511451822705567, 0.14942849831289198, 0.03992017894147391, -0.019056457884945584, 0.24904543961127304, 0.16686002556692625, 0.11695327949481177, -0.22955555152997267, -0.0004983570628997976, 0.010542258492396137] |
711.4932 | Non-equilibrium Phase Transitions in Ultrarelativistic Nuclear
Collisions | Highly excited nuclear matter created in ultrarelativistic heavy-ion
collisions possibly reaches the phase of quark deconfinement. It quickly cools
down and hadronises. We explain that the process of hadronisation may likely be
connected with disintegration into fragments. Observable signals of such a
scenario are proposed.
| nucl-th | highly excited nuclear matter created in ultrarelativistic heavyion collisions possibly reaches the phase of quark deconfinement it quickly cools down and hadronises we explain that the process of hadronisation may likely be connected with disintegration into fragments observable signals of such a scenario are proposed | [['highly', 'excited', 'nuclear', 'matter', 'created', 'in', 'ultrarelativistic', 'heavyion', 'collisions', 'possibly', 'reaches', 'the', 'phase', 'of', 'quark', 'deconfinement', 'it', 'quickly', 'cools', 'down', 'and', 'hadronises', 'we', 'explain', 'that', 'the', 'process', 'of', 'hadronisation', 'may', 'likely', 'be', 'connected', 'with', 'disintegration', 'into', 'fragments', 'observable', 'signals', 'of', 'such', 'a', 'scenario', 'are', 'proposed']] | [-0.07153088222775195, 0.3561763344746497, -0.19535509503136078, 0.14220809111417718, -0.020405081162850062, -0.0792920353408489, 0.003053964384728008, 0.36359481977091895, -0.26466668016380734, -0.24708262437747586, 0.038638326398924824, -0.297608995768759, 0.04380722930654883, 0.10088614174472038, 0.05052768842627605, 0.006947498892744383, 0.09476740153299437, 0.031305015563137, 0.0002720457243008746, -0.1818743949290365, 0.2814406878832314, 0.053386129894190365, 0.16320531020561854, 0.14025818324751324, 0.034884241161247095, -0.05738215327469839, 0.018386678387307457, -0.01572743852933248, -0.03301101666956027, -0.052463190600974485, 0.28173634473415504, 0.14826994041601818, 0.15786603111256328, -0.4669437165889475, -0.2145707821421739, 0.1533501855408152, 0.17976203662239842, 0.12340033672129115, -0.09764059488144186, -0.32311538238492277, 0.07907667423391508, -0.26344622174898785, -0.16405278282860916, -0.08565280522323317, 0.009472868767463498, -0.026588062859243818, -0.26497355182137755, 0.10914169152060317, 0.04315931500039167, -0.08874673555708594, 0.0023005576183398563, -0.1010840303161078, -0.09258874894844162, -0.00030893683950934144, 0.07398305059242476, 0.0894304338014788, 0.27690591625869276, -0.1641373279219907, -0.03201401796605852, 0.44152733901929525, 0.027632766379974784, -0.015442198214845524, 0.19915272676282458, -0.20023185105787383, -0.14910713927820324, 0.23006105770667393, 0.22529355647663277, 0.12070581082047688, -0.15743340380075904, -0.04053749794062848, 0.021305969316098426, 0.1388199257457422, 0.1033736093280216, 0.04130591736692521, 0.3175869653622309, 0.24644365625378364, -0.055978318345215584, 0.15163376699460462, -0.055758830971010157, -0.11481194357491202, -0.3109253119923071, -0.08347116026820409, -0.12080763896616796, 0.0337913360601912, -0.05299603517859294, -0.07280902498362897, 0.351368540028731, 0.13669492026221836, 0.2441444150896536, -0.10646175753273483, 0.2845809860051506, 0.08069772067376309, 0.03396158116973109, 0.1393430434167385, 0.2644659535752402, 0.19003309615784222, 0.12394836424953408, -0.248059308114979, 0.09669143655854795, 0.021823510082645547] |
711.4933 | Fast Estimator of Primordial Non-Gaussianity from Temperature and
Polarization Anisotropies in the Cosmic Microwave Background II: Partial Sky
Coverage and Inhomogeneous Noise | In our recent paper (Yadav et al. 2007) we described a fast cubic
(bispectrum) estimator of the amplitude of primordial non-Gaussianity of local
type, f_{NL}, from a combined analysis of the Cosmic Microwave Background (CMB)
temperature and E-polarization observations. In this paper we generalize the
estimator to deal with a partial sky coverage as well as inhomogeneous noise.
Our generalized estimator is still computationally efficient, scaling as
O(N^3/2) compared to the O(N^5/2) scaling of the brute force bispectrum
calculation for sky maps with N pixels. Upcoming CMB experiments are expected
to yield high-sensitivity temperature and E-polarization data. Our generalized
estimator will allow us to optimally utilize the combined CMB temperature and
E-polarization information from these realistic experiments, and to constrain
primordial non-Gaussianity.
| astro-ph | in our recent paper yadav et al 2007 we described a fast cubic bispectrum estimator of the amplitude of primordial nongaussianity of local type f_nl from a combined analysis of the cosmic microwave background cmb temperature and epolarization observations in this paper we generalize the estimator to deal with a partial sky coverage as well as inhomogeneous noise our generalized estimator is still computationally efficient scaling as on32 compared to the on52 scaling of the brute force bispectrum calculation for sky maps with n pixels upcoming cmb experiments are expected to yield highsensitivity temperature and epolarization data our generalized estimator will allow us to optimally utilize the combined cmb temperature and epolarization information from these realistic experiments and to constrain primordial nongaussianity | [['in', 'our', 'recent', 'paper', 'yadav', 'et', 'al', '2007', 'we', 'described', 'a', 'fast', 'cubic', 'bispectrum', 'estimator', 'of', 'the', 'amplitude', 'of', 'primordial', 'nongaussianity', 'of', 'local', 'type', 'f_nl', 'from', 'a', 'combined', 'analysis', 'of', 'the', 'cosmic', 'microwave', 'background', 'cmb', 'temperature', 'and', 'epolarization', 'observations', 'in', 'this', 'paper', 'we', 'generalize', 'the', 'estimator', 'to', 'deal', 'with', 'a', 'partial', 'sky', 'coverage', 'as', 'well', 'as', 'inhomogeneous', 'noise', 'our', 'generalized', 'estimator', 'is', 'still', 'computationally', 'efficient', 'scaling', 'as', 'on32', 'compared', 'to', 'the', 'on52', 'scaling', 'of', 'the', 'brute', 'force', 'bispectrum', 'calculation', 'for', 'sky', 'maps', 'with', 'n', 'pixels', 'upcoming', 'cmb', 'experiments', 'are', 'expected', 'to', 'yield', 'highsensitivity', 'temperature', 'and', 'epolarization', 'data', 'our', 'generalized', 'estimator', 'will', 'allow', 'us', 'to', 'optimally', 'utilize', 'the', 'combined', 'cmb', 'temperature', 'and', 'epolarization', 'information', 'from', 'these', 'realistic', 'experiments', 'and', 'to', 'constrain', 'primordial', 'nongaussianity']] | [-0.0663100966237119, 0.0694230513601396, -0.08824874056869599, 0.10159355032135595, -0.12056104502579594, -0.09219014381638682, 0.004954111756619493, 0.3257748792596833, -0.2185577177671624, -0.33985232226703255, 0.08805243481240678, -0.33620960440975234, -0.11600572287799699, 0.23924712111723045, -0.050925678615534646, 0.08546621009295226, 0.019125174536354473, -0.09426879123441081, -0.036078403074080584, -0.3149595948835056, 0.23011187072385286, 0.22217237558330363, 0.2864000715055793, -0.025079614874051852, 0.06733893128741747, -0.04229626853064802, -0.13650594169529703, 0.053560247606613105, -0.1783985197391422, 0.06972687765736453, 0.25966052748988094, 0.14261191626858027, 0.14866515953612866, -0.37770667008017417, -0.23035152415271665, 0.1571740196162804, 0.12441757188529753, 0.14842273977386658, -0.0005489553832525357, -0.3096058432196007, 0.007180871765203697, -0.16548040842057252, -0.09873217545816156, -0.14775720387926233, -0.04194619888287099, 0.009920222104572858, -0.3485679001104636, 0.1653248783941457, 0.015411585028336734, 0.013506909727393726, -0.006851707050790553, -0.12107185133900798, 0.017082912389372217, 0.007943597358849938, -0.0018562957984166312, 0.07355321039441881, 0.14070400906622707, -0.08059040412925123, -0.046773538878950915, 0.3080179146567329, -0.13814822097163892, -0.08568932642954112, 0.08692963578600864, -0.17573653304277628, -0.19544336645955557, 0.08014714234645982, 0.18394483405558515, 0.05950441280929524, -0.12798295410533175, 0.11371458142230785, 0.026534210394335088, 0.2081911682807764, 0.10354688365134548, 0.030059612333224933, 0.24097518089273182, 0.10601472475858917, 0.12975049073823164, 0.12298755021002448, -0.17139534954722116, 0.024635148488011852, -0.2712538136917426, -0.024961308614335587, -0.23068950754269713, 0.06032295612958031, -0.1659436355271953, -0.17046123649543304, 0.3718597099917834, 0.22554026001331504, 0.1981014903810364, 0.10813089453454938, 0.3624198745065903, 0.037644271254081464, 0.014705483553564696, 0.04671049484845678, 0.27000053700433707, 0.1607831033007776, 0.11766678385711352, -0.19938197700673196, 0.006748815728389643, -0.019247770179673784] |
711.4934 | Moduli stabilization with Fayet-Iliopoulos uplift | In the recent years, phenomenological models of moduli stabilization were
proposed, where the dynamics of the stabilization is essentially
supersymmetric, whereas an O'Rafearthaigh supersymmetry breaking sector is
responsible for the "uplift" of the cosmological constant to zero. We
investigate the case where the uplift is provided by a Fayet-Iliopoulos sector.
We find that in this case the modulus contribution to supersymmetry breaking is
larger than in the previous models. A first consequence of this class of
constructions is for gauginos, which are heavier compared to previous models.
In some of our explicit examples, due to a non-standard gauge-mediation type
negative contribution to scalars masses, the whole superpartner spectrum can be
efficiently compressed at low-energy. This provides an original phenomenology
testable at the LHC, in particular sleptons are generically heavier than the
squarks.
| hep-th hep-ph | in the recent years phenomenological models of moduli stabilization were proposed where the dynamics of the stabilization is essentially supersymmetric whereas an orafearthaigh supersymmetry breaking sector is responsible for the uplift of the cosmological constant to zero we investigate the case where the uplift is provided by a fayetiliopoulos sector we find that in this case the modulus contribution to supersymmetry breaking is larger than in the previous models a first consequence of this class of constructions is for gauginos which are heavier compared to previous models in some of our explicit examples due to a nonstandard gaugemediation type negative contribution to scalars masses the whole superpartner spectrum can be efficiently compressed at lowenergy this provides an original phenomenology testable at the lhc in particular sleptons are generically heavier than the squarks | [['in', 'the', 'recent', 'years', 'phenomenological', 'models', 'of', 'moduli', 'stabilization', 'were', 'proposed', 'where', 'the', 'dynamics', 'of', 'the', 'stabilization', 'is', 'essentially', 'supersymmetric', 'whereas', 'an', 'orafearthaigh', 'supersymmetry', 'breaking', 'sector', 'is', 'responsible', 'for', 'the', 'uplift', 'of', 'the', 'cosmological', 'constant', 'to', 'zero', 'we', 'investigate', 'the', 'case', 'where', 'the', 'uplift', 'is', 'provided', 'by', 'a', 'fayetiliopoulos', 'sector', 'we', 'find', 'that', 'in', 'this', 'case', 'the', 'modulus', 'contribution', 'to', 'supersymmetry', 'breaking', 'is', 'larger', 'than', 'in', 'the', 'previous', 'models', 'a', 'first', 'consequence', 'of', 'this', 'class', 'of', 'constructions', 'is', 'for', 'gauginos', 'which', 'are', 'heavier', 'compared', 'to', 'previous', 'models', 'in', 'some', 'of', 'our', 'explicit', 'examples', 'due', 'to', 'a', 'nonstandard', 'gaugemediation', 'type', 'negative', 'contribution', 'to', 'scalars', 'masses', 'the', 'whole', 'superpartner', 'spectrum', 'can', 'be', 'efficiently', 'compressed', 'at', 'lowenergy', 'this', 'provides', 'an', 'original', 'phenomenology', 'testable', 'at', 'the', 'lhc', 'in', 'particular', 'sleptons', 'are', 'generically', 'heavier', 'than', 'the', 'squarks']] | [-0.10266718842117613, 0.21413688772053188, -0.033833914502161264, 0.13478890524373766, -0.10656369425612323, -0.14330659951403282, -0.03215622161657244, 0.31032970065663334, -0.23082202881972752, -0.27478699578071825, 0.10558942388938669, -0.27370669023411076, -0.09143760897404024, 0.16454850096710538, -0.050378934110564585, 0.005670144258223417, 0.008870723931019316, 0.02401830401726579, -0.06156385682509032, -0.2834239102338391, 0.3097733215691934, 0.05023627931639581, 0.1900687369869894, 0.0621556565663173, 0.0127200610999672, -0.07765508814402039, 0.02084839113682281, -0.08624982533848467, -0.11782861766117698, 0.12529525628405844, 0.2032345048392017, 0.04281966158949578, 0.1606495564675513, -0.3783579934672772, -0.22246390893941617, 0.18220420115989924, 0.16664300923313918, 0.1748512699544245, -0.06427132466253434, -0.25402754431817937, 0.11343479304368259, -0.19286407567987232, -0.13994261625628093, -0.05621191346040351, -0.01322168413236851, -0.13854181362699916, -0.30420195802562794, 0.0986236777736002, -0.004976825873929126, 0.002826150464078852, -0.04651202383817295, -0.13859754476788674, -0.07578465876254814, 0.014321946105315486, 0.19180408558623424, -0.014765986835029516, 0.10422992876567344, -0.19372430694189974, -0.11780096552306289, 0.4049393262870553, -0.08545980611145106, -0.17781128394524104, 0.17406213118535652, -0.10853739463162558, -0.1820038341497647, 0.13658432685236893, 0.15314350833846185, 0.1387904221227549, -0.11948146094134404, 0.17106212384799738, -0.049472023676085566, 0.1828324378660048, 0.04886414417783723, 0.03258354077826588, 0.22901601698391766, 0.2059002188598659, 0.06870414601027511, 0.11774415363475879, 0.006200285252976366, -0.10904682465679659, -0.41266615282146984, -0.11644328631574416, -0.09861822841859615, 0.056000861630753705, -0.07743424737385211, -0.09720939827926514, 0.41301129467586295, 0.13529185525262516, 0.2261452151298921, 0.07021853072259518, 0.2875865122075868, 0.07881246350451465, 0.10946605961995541, 0.03443490393203861, 0.3343699438800015, 0.08300237005882193, 0.09591258821461549, -0.19669743894087507, -0.009907345283058479, 0.10782230388771259] |
711.4935 | Study of event-by-event fluctuations in heavy ion collisions | We propose Kolmogorov-Smirnov test as a means for recognising event-by-event
fluctuations of rapidity distributions in relativistic heavy ion collisions.
Such fluctuations may be induced by the spinodal decomposition of the rapidly
expanding system during the 1st order quark-hadron phase transition.
| nucl-th | we propose kolmogorovsmirnov test as a means for recognising eventbyevent fluctuations of rapidity distributions in relativistic heavy ion collisions such fluctuations may be induced by the spinodal decomposition of the rapidly expanding system during the 1st order quarkhadron phase transition | [['we', 'propose', 'kolmogorovsmirnov', 'test', 'as', 'a', 'means', 'for', 'recognising', 'eventbyevent', 'fluctuations', 'of', 'rapidity', 'distributions', 'in', 'relativistic', 'heavy', 'ion', 'collisions', 'such', 'fluctuations', 'may', 'be', 'induced', 'by', 'the', 'spinodal', 'decomposition', 'of', 'the', 'rapidly', 'expanding', 'system', 'during', 'the', '1st', 'order', 'quarkhadron', 'phase', 'transition']] | [-0.09726634493345046, 0.3270505556603894, -0.2388451695907861, 0.1352475716266781, 0.032748184725642206, -0.029906144260894506, -0.023363256978336723, 0.3185693327337503, -0.23268374032340944, -0.2628867629449815, 0.018564562147366813, -0.30082686385139823, 0.026792862825095652, 0.06512711886316538, 0.02221099337330088, 0.10639779269695282, 0.050857519102282825, -0.030006538418820127, -0.10409243020112627, -0.12260589897632598, 0.318654409237206, 0.0921682761516422, 0.28356073014438155, 0.0890774211846292, 0.04741474697366357, 0.004441425943514332, 0.008887682587374001, 0.07575760344043374, -0.09535568613791838, -0.002644438228890067, 0.2508123743347824, 0.07411278411746025, 0.23484414069680498, -0.4034859374165535, -0.21476144425105304, 0.1414402690512361, 0.1791732572717592, 0.1315978254471702, -0.09046678130980582, -0.3192609388381243, 0.013355483370833098, -0.24327029744163156, -0.15410579271847383, -0.11945416384842247, -0.014522094163112342, 0.051606315677054225, -0.33247416573576627, 0.16984955715015532, 0.06437116774031892, 0.10973556928802282, 0.004933269461616874, -0.09598175018036273, -0.05080388677306473, 0.012686721363570541, 0.06757493987679482, 0.04423865290591493, 0.19720370896393433, -0.09919673380645691, -0.10528897600015626, 0.39980153208598496, -0.039381361016421576, -0.09893816877156496, 0.11341869868338109, -0.21021157176000999, -0.11900932402350009, 0.1688206003047526, 0.25394401056692006, 0.14161600898951293, -0.14885949180461466, -0.026685060001909733, 0.08440450467169285, 0.1159104608222151, 0.10703462023520842, -0.00804872966837138, 0.2694440801162273, 0.18093682294711472, -0.03989414817187935, 0.18364360224550183, -0.15456533022224903, -0.09913447541184724, -0.38125292453914883, -0.14455151117872447, -0.17227512400131673, 0.013858286757022142, -0.14838186334527564, -0.16002151947468518, 0.36489259246736766, 0.14125373351562304, 0.20139155616052448, -0.09776776726357639, 0.2619133057189174, 0.10811876551888418, -0.014840182592161, 0.098077058698982, 0.2566099581308663, 0.13891343963914551, 0.18143973075784742, -0.2584458012366667, 0.11317017921246589, 0.15821748718153686] |
711.4936 | Highly sensitive and broadband carbon nanotube radio-frequency
single-electron transistor | We have investigated radio-frequency single-electron transistor (RF-SET)
operation of single-walled carbon nanotube quantum dots in the strong tunneling
regime. At 4.2 K and carrier frequency 754.2 MHz, we reach a charge sensitivity
of 2.3e-6 e/Hz^(1/2) over a bandwidth of 85 MHz. Our results indicate a
gain-bandwidth product of 3.7e13 Hz^(3/2)/e, which is by one order of magnitude
better than for typical RF-SETs.
| cond-mat.other cond-mat.mes-hall | we have investigated radiofrequency singleelectron transistor rfset operation of singlewalled carbon nanotube quantum dots in the strong tunneling regime at 42 k and carrier frequency 7542 mhz we reach a charge sensitivity of 23e6 ehz12 over a bandwidth of 85 mhz our results indicate a gainbandwidth product of 37e13 hz32e which is by one order of magnitude better than for typical rfsets | [['we', 'have', 'investigated', 'radiofrequency', 'singleelectron', 'transistor', 'rfset', 'operation', 'of', 'singlewalled', 'carbon', 'nanotube', 'quantum', 'dots', 'in', 'the', 'strong', 'tunneling', 'regime', 'at', '42', 'k', 'and', 'carrier', 'frequency', '7542', 'mhz', 'we', 'reach', 'a', 'charge', 'sensitivity', 'of', '23e6', 'ehz12', 'over', 'a', 'bandwidth', 'of', '85', 'mhz', 'our', 'results', 'indicate', 'a', 'gainbandwidth', 'product', 'of', '37e13', 'hz32e', 'which', 'is', 'by', 'one', 'order', 'of', 'magnitude', 'better', 'than', 'for', 'typical', 'rfsets']] | [-0.17040288746356963, 0.13372572018609694, 0.056298619225466, -0.07166782161657466, 0.052761896385345605, -0.16881756317646554, 0.15410144009705012, 0.44784910110756754, -0.1374380607002725, -0.2998739490285516, 0.004232498865652208, -0.27461926930894454, -0.046206741904218994, 0.276143366486455, 0.008277433287973205, -0.0038341074871520203, 0.0357283960627683, 0.0022860479754551, -0.043763191400406264, -0.18835610469104722, 0.1634324710505704, 0.08057543243242739, 0.31829445213079455, 0.08826782902081808, 0.0959192560869269, -0.05561967950391893, 0.0875845338528355, -0.02611731130940219, -0.14459671058381598, 0.05806787965508799, 0.28325101441393297, -0.061738563266893226, 0.26945665083670367, -0.4019847293073932, -0.16412047971971333, 0.019509056934233136, 0.12644375421417256, 0.08378309217320444, 0.022860249093112846, -0.2674467397853732, 0.1550118496796737, -0.22941212439909578, -0.05763425998544942, -0.01695666603433589, 0.0011915105433824161, 0.02874642182723619, -0.2527261319453828, 0.09287074939347803, 0.04019181046751328, 0.08127734268006558, -0.017954110864472263, -0.14891483414297302, 0.044370458441941686, 0.02123483765559892, -0.07446684334815169, 0.038779178905921675, 0.24570523136450598, -0.06745523697851846, -0.14848944996483623, 0.3034371216238166, -0.11426685841215659, -0.03208335897264381, 0.13168270338016252, -0.24141417387096833, -0.02263030142057687, 0.18987594318265716, 0.07923707603476941, 0.10349433106991152, -0.12679916262665453, 0.04347171857856059, 0.020475788693875074, 0.21295973289913186, 0.17154379659332336, 0.16685519386082887, 0.21045542393500608, 0.21408531703054906, 0.10065536625140035, 0.10555220496607945, -0.16090977562901873, -0.0014375831776609024, -0.180278151872335, -0.15091961920261382, -0.1772390583452458, 0.1769490058378627, -0.07575886138535376, -0.10257535682370265, 0.45862949229000755, 0.13282092912122606, 0.12325493648337821, -0.0035116326587740334, 0.2929239181316613, 0.13840564260608518, 0.10279462569936489, 0.002975854428950697, 0.23755650461728994, 0.20429974344636623, 0.08257968477555551, -0.24480147347009432, -0.046740310334522896, -0.07725452781111623] |
711.4937 | Functions of Bifans in Context of Multiple Regulatory Motifs in
Signaling Networks | Representation of intracellular signaling networks as directed graphs allows
for the identification of regulatory motifs. Regulatory motifs are groups of
nodes with the same connectivity structure, capable of processing information.
The bifan motif, made of two source nodes directly cross-regulating two target
nodes, is an over-represented motif in a mammalian cell signaling network and
in transcriptional networks. One example of a bifan is the two MAP-kinases, p38
and JNK that phosphorylate and activate the two transcription factors ATF2 and
Elk-1. We have used a system of coupled ordinary differential equations to
analyze the regulatory capability of this bifan motif by itself, and when it
interacts with other motifs such as positive and negative feedback loops. Our
results indicate that bifans provide temporal regulation of signal propagation
and act as signal sorters, filters, and synchronizers. Bifans that have OR gate
configurations show rapid responses while AND gate bifans can introduce delays
and allow prolongation of signal outputs. Bifans that are AND gates can filter
noisy signal inputs. The p38/JNK-ATF2/Elk-1bifan synchronizes the output of
activated transcription factors. Synchronization is a robust property of bifans
and is exhibited even when the bifan is adjacent to a positive feedback loop.
The presence of the bifan promotes the transcription and translation of the
dual specificity protein phosphatase MKP-1 that inhibits p38 and JNK thus
enabling a negative feedback loop. These results indicate that bifan motifs in
cell signaling networks can contribute to signal processing capability both
intrinsically and by enabling the functions of other regulatory motifs.
| q-bio.MN q-bio.QM q-bio.SC | representation of intracellular signaling networks as directed graphs allows for the identification of regulatory motifs regulatory motifs are groups of nodes with the same connectivity structure capable of processing information the bifan motif made of two source nodes directly crossregulating two target nodes is an overrepresented motif in a mammalian cell signaling network and in transcriptional networks one example of a bifan is the two mapkinases p38 and jnk that phosphorylate and activate the two transcription factors atf2 and elk1 we have used a system of coupled ordinary differential equations to analyze the regulatory capability of this bifan motif by itself and when it interacts with other motifs such as positive and negative feedback loops our results indicate that bifans provide temporal regulation of signal propagation and act as signal sorters filters and synchronizers bifans that have or gate configurations show rapid responses while and gate bifans can introduce delays and allow prolongation of signal outputs bifans that are and gates can filter noisy signal inputs the p38jnkatf2elk1bifan synchronizes the output of activated transcription factors synchronization is a robust property of bifans and is exhibited even when the bifan is adjacent to a positive feedback loop the presence of the bifan promotes the transcription and translation of the dual specificity protein phosphatase mkp1 that inhibits p38 and jnk thus enabling a negative feedback loop these results indicate that bifan motifs in cell signaling networks can contribute to signal processing capability both intrinsically and by enabling the functions of other regulatory motifs | [['representation', 'of', 'intracellular', 'signaling', 'networks', 'as', 'directed', 'graphs', 'allows', 'for', 'the', 'identification', 'of', 'regulatory', 'motifs', 'regulatory', 'motifs', 'are', 'groups', 'of', 'nodes', 'with', 'the', 'same', 'connectivity', 'structure', 'capable', 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711.4938 | De-biasing interferometric visibilities in VLTI-AMBER data of low SNR
observations | AIMS: We have found that the interferometric visibilities of VLTI-AMBER
observations, extracted via the standard reduction package, are significantly
biased when faint targets are concerned. The visibility biases derive from a
time variable fringing effect (correlated noise) appearing on the detector.
METHODS: We have developed a method to correct this bias that consists in a
subtraction of the extra power due to such correlated noise, so that the real
power spectrum at the spatial frequencies of the fringing artifact can be
restored. RESULTS: This pre-processing procedure is implemented in a software,
called AMDC and available to the community, to be run before the standard
reduction package. Results obtained on simulated and real observations are
presented and discussed.
| astro-ph | aims we have found that the interferometric visibilities of vltiamber observations extracted via the standard reduction package are significantly biased when faint targets are concerned the visibility biases derive from a time variable fringing effect correlated noise appearing on the detector methods we have developed a method to correct this bias that consists in a subtraction of the extra power due to such correlated noise so that the real power spectrum at the spatial frequencies of the fringing artifact can be restored results this preprocessing procedure is implemented in a software called amdc and available to the community to be run before the standard reduction package results obtained on simulated and real observations are presented and discussed | [['aims', 'we', 'have', 'found', 'that', 'the', 'interferometric', 'visibilities', 'of', 'vltiamber', 'observations', 'extracted', 'via', 'the', 'standard', 'reduction', 'package', 'are', 'significantly', 'biased', 'when', 'faint', 'targets', 'are', 'concerned', 'the', 'visibility', 'biases', 'derive', 'from', 'a', 'time', 'variable', 'fringing', 'effect', 'correlated', 'noise', 'appearing', 'on', 'the', 'detector', 'methods', 'we', 'have', 'developed', 'a', 'method', 'to', 'correct', 'this', 'bias', 'that', 'consists', 'in', 'a', 'subtraction', 'of', 'the', 'extra', 'power', 'due', 'to', 'such', 'correlated', 'noise', 'so', 'that', 'the', 'real', 'power', 'spectrum', 'at', 'the', 'spatial', 'frequencies', 'of', 'the', 'fringing', 'artifact', 'can', 'be', 'restored', 'results', 'this', 'preprocessing', 'procedure', 'is', 'implemented', 'in', 'a', 'software', 'called', 'amdc', 'and', 'available', 'to', 'the', 'community', 'to', 'be', 'run', 'before', 'the', 'standard', 'reduction', 'package', 'results', 'obtained', 'on', 'simulated', 'and', 'real', 'observations', 'are', 'presented', 'and', 'discussed']] | [-0.06167215015939918, 0.06674413012485181, -0.10021575555157174, 0.07588833742594378, -0.07035384520663526, -0.14681429465718823, 0.005547272519144262, 0.42040396036965577, -0.22761596710991178, -0.33360899517569564, 0.12721984200219721, -0.26003888719474316, -0.13160011743933991, 0.2165583580860804, -0.09075476579641088, 0.04786457714538395, 0.117381562486869, -0.024816235174135916, -0.034296210266394817, -0.25883090047763885, 0.25923078855628084, 0.11700995450293453, 0.2701176909312349, -0.007839512294720345, 0.07879745745594846, -0.02755663870705356, -0.14933098604147932, 0.06031469088288602, -0.06630940815519917, 0.05612006552260498, 0.26918178266877757, 0.12472282192601565, 0.2203641429489302, -0.3975725572190954, -0.2050799773203145, 0.07701944355082152, 0.13257914696065387, 0.10834860075104596, -0.03950329628122713, -0.3044067422000306, 0.08645893678727463, -0.14266617867517575, -0.12205109433752709, -0.06525086540857265, -0.03239220078906108, 0.006230464405861908, -0.27848865587167954, 0.06506738349482225, 0.00919272621154207, 0.06604284618967132, -0.004581045126542449, -0.1483407959157344, -0.001091894665572407, 0.12002744277912104, 0.00889688559631207, 0.027359111248595833, 0.14213189118991382, -0.09050970147203269, -0.09420850392479192, 0.3496646297260605, -0.09519792354368636, -0.16919364897405792, 0.16656426204456787, -0.12437228041957936, -0.15065269673981802, 0.17022180770010012, 0.1760732657436667, 0.0673745814791142, -0.1695816724563413, 0.062107047530248406, 0.05223364792041609, 0.2128282008403591, 0.035184107548236074, 0.024958417983725667, 0.1746978526232475, 0.12554170008837084, 0.0028739736921250306, 0.14416956801794406, -0.18524839837858775, -0.020927446147683878, -0.2847982263995399, -0.06772896291784428, -0.2024083145741566, -0.007447299844553244, -0.05181260025974239, -0.13430499580913577, 0.40170938682999335, 0.21383319521756394, 0.18013678430097885, 0.03404029679950327, 0.3856275369862801, 0.14212770078427575, 0.11058480732126869, 0.04478180038357346, 0.24643447192321563, 0.0741346223071089, 0.11147494952933028, -0.21362641663491277, 0.04767246447615968, -0.02662951312357046] |
711.4939 | Large voltage from spin pumping in magnetic tunnel junctions | We studied the response of a ferromagnet-insulator-normal metal tunnel
structure under an external oscillating radio frequency (R.F.) magnetic field.
The D. C. voltage across the junction is calculated and is found not to
decrease despite the high resistance of the junction; instead, it is of the
order of $\mu V$ to $100\mu V$, much larger than the experimentally observed
value (100 nano-V) in the "strong coupled" ohmic ferromagnet-normal metal
bilayers. This is consistent with recent experimental results in tunnel
structures, where the voltage is larger than $\mu V$s. The damping and loss of
an external RF field in this structure is calculated.
| cond-mat.mtrl-sci | we studied the response of a ferromagnetinsulatornormal metal tunnel structure under an external oscillating radio frequency rf magnetic field the d c voltage across the junction is calculated and is found not to decrease despite the high resistance of the junction instead it is of the order of mu v to 100mu v much larger than the experimentally observed value 100 nanov in the strong coupled ohmic ferromagnetnormal metal bilayers this is consistent with recent experimental results in tunnel structures where the voltage is larger than mu vs the damping and loss of an external rf field in this structure is calculated | [['we', 'studied', 'the', 'response', 'of', 'a', 'ferromagnetinsulatornormal', 'metal', 'tunnel', 'structure', 'under', 'an', 'external', 'oscillating', 'radio', 'frequency', 'rf', 'magnetic', 'field', 'the', 'd', 'c', 'voltage', 'across', 'the', 'junction', 'is', 'calculated', 'and', 'is', 'found', 'not', 'to', 'decrease', 'despite', 'the', 'high', 'resistance', 'of', 'the', 'junction', 'instead', 'it', 'is', 'of', 'the', 'order', 'of', 'mu', 'v', 'to', '100mu', 'v', 'much', 'larger', 'than', 'the', 'experimentally', 'observed', 'value', '100', 'nanov', 'in', 'the', 'strong', 'coupled', 'ohmic', 'ferromagnetnormal', 'metal', 'bilayers', 'this', 'is', 'consistent', 'with', 'recent', 'experimental', 'results', 'in', 'tunnel', 'structures', 'where', 'the', 'voltage', 'is', 'larger', 'than', 'mu', 'vs', 'the', 'damping', 'and', 'loss', 'of', 'an', 'external', 'rf', 'field', 'in', 'this', 'structure', 'is', 'calculated']] | [-0.20596199186053127, 0.1643116721397382, 0.03282889862544835, -0.0014551831269636751, -0.036822674102149906, -0.16316966712009162, 0.04164748777169734, 0.41890267898328604, -0.22528211204335094, -0.31750274579972027, -0.01936777310038451, -0.2808070245757699, -0.08009257559431716, 0.22512802602723242, 0.010228314055129886, -0.02538849272765219, -0.025408404506742956, 0.029172943057492375, -0.055674217112828044, -0.1720751049858518, 0.24312582686543466, 0.06446060267975554, 0.33437846224755047, 0.07566883420280647, 0.03769493471700116, -0.08004399139899761, 0.07873655996983871, 0.07081721271388233, -0.12817983296699823, 0.030017362516373394, 0.1882797330338508, -0.057469595926813784, 0.2334536928171292, -0.4298377953842282, -0.1881787223275751, 0.055232958188280466, 0.09975853542564436, 0.08498820081353188, -0.01566138256341219, -0.24014443270862101, 0.12671333311591298, -0.1481915982835926, -0.09861100077163427, 0.028953183284029363, 0.07975651237298735, 0.014452481642365456, -0.30389095694874413, 0.06606291856616736, 0.03901853474788368, 0.09715562323573977, -0.06284978378098457, -0.12658646372961813, -0.05575262232683599, 0.04039961966278497, 0.03554920068476349, 0.12233141879551113, 0.18265609847847372, -0.14130383851006628, -0.03877354526892304, 0.3271504981070757, -0.10999839919764781, -0.12304329568520188, 0.17905541945714504, -0.23461634072475135, 0.008217966472730041, 0.14341882208827883, 0.10775167413055897, 0.10071615470573306, -0.14670780048239976, 0.08128249108674936, 0.0120441934466362, 0.16910913371946662, 0.07011951273772865, 0.021637736428529022, 0.18887474766001106, 0.20673078205436468, 0.05426027772016823, 0.14790753187437075, -0.12330004088697023, -0.015605680411681533, -0.23831835021846928, -0.12436289163248147, -0.17858589817769827, 0.10378145580310956, -0.06472932590375421, -0.1794962356146425, 0.4036221854900941, 0.15202725420705973, 0.2079179876949638, -0.03128069928876357, 0.3305697496049106, 0.1913917511422187, 0.12071745752473362, 0.046418350711464884, 0.25473560180049387, 0.1895819679426495, 0.13707496650866233, -0.2860119925951585, 0.10192133265663869, -0.08974996672011912] |
711.494 | Means and Hermite Interpolation | Let $m_{2}<m_{1}$ be two given nonnegative integers with $n=m_{1}+m_{2}+1$.
For suitably differentiable $f$, we let $P,Q\in \pi_{n}$ be the Hermite
polynomial interpolants to $f$ which satisfy
$P^{(j)}(a)=f^{(j)}(a),j=0,1,...,m_{1}$ and
$P^{(j)}(b)=f^{(j)}(b),j=0,1,...,m_{2},$
$Q^{(j)}(a)=f^{(j)}(a),j=0,1,...,m_{2}$ and
$Q^{(j)}(b)=f^{(j)}(b),j=0,1,...,m_{1}$. Suppose that $f\in C^{n+2}(I)$ with
$f^{(n+1)}(x)\neq 0$ for $x\in (a,b)$. If $m_{1}-m_{2}$ is even, then there is
a unique $x_{0},a<x_{0}<b,$ such that $P(x_{0})=Q(x_{0})$. If $m_{1}-m_{2}$ is
odd, then there is a unique $x_{0},a<x_{0}<b,$ such that
$f(x_{0})=\tfrac{1}{2}(P(x_{0})+Q(x_{0})) $. $x_{0}$ defines a strict,
symmetric mean, which we denote by $M_{f,m_{1},m_{2}}(a,b)$. We prove various
properties of these means. In particular, we show that $f(x)=x^{m_{1}+m_{2}+2}$
yields the arithmetic mean, $f(x)=x^{-1}$ yields the harmonic mean, and
$f(x)=x^{(m_{1}+m_{2}+1)/2}$ yields the geometric mean.
| math.CA | let m_2m_1 be two given nonnegative integers with nm_1m_21 for suitably differentiable f we let pqin pi_n be the hermite polynomial interpolants to f which satisfy pjafjaj01m_1 and pjbfjbj01m_2 qjafjaj01m_2 and qjbfjbj01m_1 suppose that fin cn2i with fn1xneq 0 for xin ab if m_1m_2 is even then there is a unique x_0ax_0b such that px_0qx_0 if m_1m_2 is odd then there is a unique x_0ax_0b such that fx_0tfrac12px_0qx_0 x_0 defines a strict symmetric mean which we denote by m_fm_1m_2ab we prove various properties of these means in particular we show that fxxm_1m_22 yields the arithmetic mean fxx1 yields the harmonic mean and fxxm_1m_212 yields the geometric mean | [['let', 'm_2m_1', 'be', 'two', 'given', 'nonnegative', 'integers', 'with', 'nm_1m_21', 'for', 'suitably', 'differentiable', 'f', 'we', 'let', 'pqin', 'pi_n', 'be', 'the', 'hermite', 'polynomial', 'interpolants', 'to', 'f', 'which', 'satisfy', 'pjafjaj01m_1', 'and', 'pjbfjbj01m_2', 'qjafjaj01m_2', 'and', 'qjbfjbj01m_1', 'suppose', 'that', 'fin', 'cn2i', 'with', 'fn1xneq', '0', 'for', 'xin', 'ab', 'if', 'm_1m_2', 'is', 'even', 'then', 'there', 'is', 'a', 'unique', 'x_0ax_0b', 'such', 'that', 'px_0qx_0', 'if', 'm_1m_2', 'is', 'odd', 'then', 'there', 'is', 'a', 'unique', 'x_0ax_0b', 'such', 'that', 'fx_0tfrac12px_0qx_0', 'x_0', 'defines', 'a', 'strict', 'symmetric', 'mean', 'which', 'we', 'denote', 'by', 'm_fm_1m_2ab', 'we', 'prove', 'various', 'properties', 'of', 'these', 'means', 'in', 'particular', 'we', 'show', 'that', 'fxxm_1m_22', 'yields', 'the', 'arithmetic', 'mean', 'fxx1', 'yields', 'the', 'harmonic', 'mean', 'and', 'fxxm_1m_212', 'yields', 'the', 'geometric', 'mean']] | [-0.16307395058244398, 0.14024144617166925, -0.10136490532177243, 0.021482447494178058, -0.0450538025297066, -0.1846672624338448, -0.040179777295982586, 0.3908810141952114, -0.3392500746252134, -0.15803305790363315, 0.054790422956934794, -0.2930501024152073, -0.15157461106935713, 0.1895123624064504, -0.08892438447776627, 0.00505476671845672, 0.04899326751771522, 0.13008787315537004, -0.10496060670343564, -0.2531948880233029, 0.31894109663652614, -0.12544469590833845, 0.10311915013106897, 0.05567719539295525, 0.16822458869044452, 0.00034388889895474656, 0.07055388346433322, 0.03641342981768019, -0.1987648228337577, 0.050244130310602486, 0.26215384822794574, 0.1581820553723485, 0.2990726922103699, -0.3289167246325536, -0.12157694811615696, 0.3013066212904263, 0.162184886914242, -0.07178457275756259, -0.04265142549473317, -0.20905482858181634, 0.2478963096249611, -0.09095647589283738, -0.13976294589427082, -0.08505477747344907, 0.11084565044717586, 0.09616315080982415, -0.41398505509850825, 0.024791824274716226, 0.10583782199017228, 0.0777537983624225, -0.034007372973645304, -0.17731613388403933, -0.0794674009988778, 0.0585216753670272, -0.015235694670217468, 0.1248660854638574, 0.015540329476897704, -0.02070847079355983, -0.048636335785441256, 0.3774824869383047, -0.1123453150800568, -0.2749362082438583, 0.0707441193566836, -0.19755421068142862, -0.14287227822190268, 0.07019054768805175, 0.06115089346000806, 0.12164733172493412, -0.039366137350295136, 0.1868717420352078, -0.1277411508601793, 0.16798638675654148, 0.10080317242388079, 0.00013605053437517044, 0.1692376561274633, 0.04278070449660671, 0.13632800096665768, 0.11198396867567158, -0.018112565504704067, -0.009016725512102563, -0.3481769110026591, -0.16312930263341108, -0.19106228718226972, 0.1856128763248946, -0.12117191925573663, -0.18745089782045243, 0.31943054907420215, 0.09682900799398726, 0.16881337177449282, 0.1622495469637215, 0.2021529219569044, 0.17392214504565964, 0.0002534944029088984, 0.1302148531335951, 0.1076811211347144, 0.14177203009975084, -0.06240780242381895, -0.1302450346250206, 0.03862022006626618, 0.12542023589002324] |
711.4941 | Forming an Early O-type Star Through Gas Accretion? | We present high angular resolution ($\sim$ 3$''$) and sensitive 1.3 mm
continuum, cyanogen (CN) and vinyl cyanide (C$_2$H$_3$CN) line observations
made with the Submillimeter Array (SMA) toward one of most highly obscured
objects of the W51 IRS2 region, W51 North. We find that the CN line exhibits a
pronounced inverse P-Cygni profile indicating that the molecular gas is
infalling inwards this object with a mass accretion rate between 4 and 7
$\times$ 10$^{-2}$ M$_\odot$ yr$^{-1}$. The C$_2$H$_3$CN traces an east-west
rotating molecular envelope that surrounds either a single obscured (proto)star
with a kinematic mass of 40 M$_{\odot}$ or a small central cluster of B-type
stars and that is associated with a compact high velocity bipolar outflow
traced by H$_2$O masers and SiO molecular emission. We thus confirm that the
W51 North region is part of the growing list of young massive star forming
regions that have been associated with infalling motions and with large mass
accretion rates ($\sim$ 10$^{-2}$ -- 10$^{-4}$), strengthening the evidence for
massive stars forming with very high accretion rates sufficient to quench the
formation of an UCHII region.
| astro-ph | we present high angular resolution sim 3 and sensitive 13 mm continuum cyanogen cn and vinyl cyanide c_2h_3cn line observations made with the submillimeter array sma toward one of most highly obscured objects of the w51 irs2 region w51 north we find that the cn line exhibits a pronounced inverse pcygni profile indicating that the molecular gas is infalling inwards this object with a mass accretion rate between 4 and 7 times 102 m_odot yr1 the c_2h_3cn traces an eastwest rotating molecular envelope that surrounds either a single obscured protostar with a kinematic mass of 40 m_odot or a small central cluster of btype stars and that is associated with a compact high velocity bipolar outflow traced by h_2o masers and sio molecular emission we thus confirm that the w51 north region is part of the growing list of young massive star forming regions that have been associated with infalling motions and with large mass accretion rates sim 102 104 strengthening the evidence for massive stars forming with very high accretion rates sufficient to quench the formation of an uchii region | [['we', 'present', 'high', 'angular', 'resolution', 'sim', '3', 'and', 'sensitive', '13', 'mm', 'continuum', 'cyanogen', 'cn', 'and', 'vinyl', 'cyanide', 'c_2h_3cn', 'line', 'observations', 'made', 'with', 'the', 'submillimeter', 'array', 'sma', 'toward', 'one', 'of', 'most', 'highly', 'obscured', 'objects', 'of', 'the', 'w51', 'irs2', 'region', 'w51', 'north', 'we', 'find', 'that', 'the', 'cn', 'line', 'exhibits', 'a', 'pronounced', 'inverse', 'pcygni', 'profile', 'indicating', 'that', 'the', 'molecular', 'gas', 'is', 'infalling', 'inwards', 'this', 'object', 'with', 'a', 'mass', 'accretion', 'rate', 'between', '4', 'and', '7', 'times', '102', 'm_odot', 'yr1', 'the', 'c_2h_3cn', 'traces', 'an', 'eastwest', 'rotating', 'molecular', 'envelope', 'that', 'surrounds', 'either', 'a', 'single', 'obscured', 'protostar', 'with', 'a', 'kinematic', 'mass', 'of', '40', 'm_odot', 'or', 'a', 'small', 'central', 'cluster', 'of', 'btype', 'stars', 'and', 'that', 'is', 'associated', 'with', 'a', 'compact', 'high', 'velocity', 'bipolar', 'outflow', 'traced', 'by', 'h_2o', 'masers', 'and', 'sio', 'molecular', 'emission', 'we', 'thus', 'confirm', 'that', 'the', 'w51', 'north', 'region', 'is', 'part', 'of', 'the', 'growing', 'list', 'of', 'young', 'massive', 'star', 'forming', 'regions', 'that', 'have', 'been', 'associated', 'with', 'infalling', 'motions', 'and', 'with', 'large', 'mass', 'accretion', 'rates', 'sim', '102', '104', 'strengthening', 'the', 'evidence', 'for', 'massive', 'stars', 'forming', 'with', 'very', 'high', 'accretion', 'rates', 'sufficient', 'to', 'quench', 'the', 'formation', 'of', 'an', 'uchii', 'region']] | [-0.10881833499072387, 0.10838400435300148, 0.028272669620873686, 0.025911750996778643, -0.061449719989126884, -0.07458115380208487, 0.02008243835433412, 0.4672137706690707, -0.08864134734059756, -0.29633909629050703, 0.0933980765773076, -0.25506745122285635, 0.013789238772246967, 0.11605545995983382, 0.0012328026506558411, -0.10268121608597283, 0.08870869729853137, -0.13221236422287497, -0.04113128782026161, -0.15038765447203956, 0.27986825945354915, 0.09074587862969515, 0.11093136761530473, 0.010030716276876834, 0.0951481060284442, -0.23109368695131405, -0.03732122058944149, -0.06989634002028908, -0.15762592212916726, 0.0670808435505184, 0.24686740105714422, 0.11647031544090264, 0.21336193523724764, -0.3444849493828453, -0.17861198620402474, 0.035717570698866365, 0.23192186663776265, 0.019587064826943352, -0.08056795963688203, -0.30160462309076397, 0.08829026473094374, -0.21999599945535936, -0.23982689805966878, 0.12402677615250342, 0.12122962534818696, 0.008401577126811059, -0.2220988086893002, 0.19249848708078182, -0.002336731839806706, 0.10749090528141357, -0.11808742639526354, -0.11670068971226147, -0.1116659946402648, 0.02187794174366111, 0.0003523888768762021, 0.16626633987800624, 0.27011292177453144, -0.1494763606132744, -0.010520517005384462, 0.37438925599180245, -0.09666674304046045, 0.010350126587883543, 0.2867648604027515, -0.2865620930936414, -0.23584690886081416, 0.3033792352128918, 0.09058004797523769, 0.16049696313724107, -0.10094781401166783, -0.075195407651195, -0.060914812753625334, 0.2506952327959116, 0.09203674339493788, 0.06237064019162002, 0.392135386519875, 0.09789624537897003, 0.044129685000953836, 0.13240841391897704, -0.31158769992887664, -0.06972843817774803, -0.19136716096625966, -0.13254955301488344, -0.09510429157201428, 0.11688824931612413, -0.17645282381376926, -0.07213849983903585, 0.2123964919827014, 0.029151534863045947, 0.2616396867490029, 0.015955656258780405, 0.2745710372158136, 0.05819832642166489, 0.12541973795510253, 0.1963037069840614, 0.25816387652795125, 0.2229645881295019, 0.13055751051300962, -0.2506799723268667, 0.043667526522044156, -0.023780698035149036] |
711.4942 | Numerical modeling of 1-D transient poroelastic waves in the
low-frequency range | Propagation of transient mechanical waves in porous media is numerically
investigated in 1D. The framework is the linear Biot's model with
frequency-independant coefficients. The coexistence of a propagating fast wave
and a diffusive slow wave makes numerical modeling tricky. A method combining
three numerical tools is proposed: a fourth-order ADER scheme with
time-splitting to deal with the time-marching, a space-time mesh refinement to
account for the small-scale evolution of the slow wave, and an interface method
to enforce the jump conditions at interfaces. Comparisons with analytical
solutions confirm the validity of this approach.
| physics.geo-ph math.NA | propagation of transient mechanical waves in porous media is numerically investigated in 1d the framework is the linear biots model with frequencyindependant coefficients the coexistence of a propagating fast wave and a diffusive slow wave makes numerical modeling tricky a method combining three numerical tools is proposed a fourthorder ader scheme with timesplitting to deal with the timemarching a spacetime mesh refinement to account for the smallscale evolution of the slow wave and an interface method to enforce the jump conditions at interfaces comparisons with analytical solutions confirm the validity of this approach | [['propagation', 'of', 'transient', 'mechanical', 'waves', 'in', 'porous', 'media', 'is', 'numerically', 'investigated', 'in', '1d', 'the', 'framework', 'is', 'the', 'linear', 'biots', 'model', 'with', 'frequencyindependant', 'coefficients', 'the', 'coexistence', 'of', 'a', 'propagating', 'fast', 'wave', 'and', 'a', 'diffusive', 'slow', 'wave', 'makes', 'numerical', 'modeling', 'tricky', 'a', 'method', 'combining', 'three', 'numerical', 'tools', 'is', 'proposed', 'a', 'fourthorder', 'ader', 'scheme', 'with', 'timesplitting', 'to', 'deal', 'with', 'the', 'timemarching', 'a', 'spacetime', 'mesh', 'refinement', 'to', 'account', 'for', 'the', 'smallscale', 'evolution', 'of', 'the', 'slow', 'wave', 'and', 'an', 'interface', 'method', 'to', 'enforce', 'the', 'jump', 'conditions', 'at', 'interfaces', 'comparisons', 'with', 'analytical', 'solutions', 'confirm', 'the', 'validity', 'of', 'this', 'approach']] | [-0.1690068718655865, 0.05334459714551643, -0.10434546353518152, 0.03379281394375974, -0.10446310474324728, -0.1475951315217611, -0.020827264438950173, 0.3620501925761346, -0.2748536091378849, -0.2315185063179461, 0.11180374082228493, -0.24279625588805293, -0.14780043951316696, 0.18493761857920935, 0.042447182435906776, 0.13554822892436516, 0.06016156897100661, -0.08456048470638368, -0.0805325493458203, -0.16102840455309692, 0.2792788364863752, 0.048363680604582085, 0.3170554611184027, 0.033812051608591624, 0.1313130348596884, -0.04270966131361607, -0.05752861295806487, 0.03519194283644143, -0.12745459198587292, 0.06354005715263117, 0.22992128840364193, 0.03284207304291751, 0.2899723013447922, -0.49959834306703316, -0.31113908012681035, -0.03511025937420883, 0.14523249944550512, 0.17298881384118905, -0.0635018753009322, -0.2881081395013177, 0.07310014265417324, -0.15623210604889723, -0.2045543193007293, -0.07275851862505078, -0.024864006002367798, 0.05752794750277763, -0.32349423610645794, 0.10628394906044654, 0.022540796401343592, 0.012282341253012419, -0.07413729012984296, -0.001146661254334385, -0.002833081780092629, 0.04245971357348659, 0.05804896353916063, -0.020733023654548047, 0.03201634245772805, -0.09587744961280133, -0.07107816948352949, 0.4045785842311528, -0.06947841025058828, -0.28798836983649223, 0.22476607479114571, -0.09768663831757453, -0.048511533884068384, 0.20415147354161373, 0.20289814110298682, 0.14023584333430653, -0.15202558669767788, 0.0370226892346577, 0.016815855249265238, 0.17414690086456097, 0.0712168897330032, -0.046816662539798846, 0.1364697979601181, 0.22552345466607696, 0.027111188437708694, 0.10778491940025402, -0.07351548348189048, -0.1278535331113507, -0.2983022477761235, -0.16573675655577655, -0.15273416755498265, -0.04149517791365329, -0.14980703223282826, -0.21106712016499724, 0.3839743445798139, 0.1670616207158436, 0.09427565868194822, 0.06479469677635832, 0.33527310628889373, 0.16432568860624958, -0.011141044363561694, 0.10814528378313812, 0.22201933456918874, 0.18207748509619548, 0.16508781574362807, -0.28180733327652613, 0.042335231808702585, 0.1196564098202583] |
711.4943 | $\Lambda N$ correlations from the stopped $K^-$ reaction on ${}^4$He | We have investigated correlations of coincident $\Lambda N$ pairs from the
stopped $K^-$ reaction on ${}^4$He, and clearly observed $\Lambda p$ and
$\Lambda n$ branches of the two-nucleon absorption process in the $\Lambda N$
invariant mass spectra. In addition, non-mesonic reaction channels, which
indicate possible exotic signals for the formation of strange multibaryon
states, have been identified.
| nucl-ex | we have investigated correlations of coincident lambda n pairs from the stopped k reaction on 4he and clearly observed lambda p and lambda n branches of the twonucleon absorption process in the lambda n invariant mass spectra in addition nonmesonic reaction channels which indicate possible exotic signals for the formation of strange multibaryon states have been identified | [['we', 'have', 'investigated', 'correlations', 'of', 'coincident', 'lambda', 'n', 'pairs', 'from', 'the', 'stopped', 'k', 'reaction', 'on', '4he', 'and', 'clearly', 'observed', 'lambda', 'p', 'and', 'lambda', 'n', 'branches', 'of', 'the', 'twonucleon', 'absorption', 'process', 'in', 'the', 'lambda', 'n', 'invariant', 'mass', 'spectra', 'in', 'addition', 'nonmesonic', 'reaction', 'channels', 'which', 'indicate', 'possible', 'exotic', 'signals', 'for', 'the', 'formation', 'of', 'strange', 'multibaryon', 'states', 'have', 'been', 'identified']] | [-0.14432921561232784, 0.212888274141669, -0.09185629358551906, 0.08789900689209804, 0.0506110928887338, -0.16128899032870928, 0.03609663949821863, 0.35140390962100865, -0.20417929847577684, -0.25605085923483495, -0.09486125257242013, -0.3714951884589697, -0.007184057369860902, 0.07304990343880235, 0.17261936188789836, 0.07911579856616363, 0.04640143664488405, 0.108698076388815, 0.027225113881286234, -0.19394558568468742, 0.3502023195880547, -7.492757255309506e-05, 0.18094421022882065, 0.08163061909573643, 0.0272981098183153, -0.04154976195933526, -0.03489376349668754, -0.060866378901297584, -0.2002393196320586, -0.0033318486499698146, 0.27739220986596164, 0.07010047156935591, 0.09680347168295268, -0.3462062821184334, -0.19945387277556093, 0.15119005040379993, 0.21979158739314267, 0.06910118167166059, -0.05402913391630966, -0.32397466744377945, 0.06924631368172796, -0.13394022255874516, -0.1414901865809633, -0.04639212924398874, 0.16429579079870069, 0.013930634893640353, -0.2803235625227292, 0.0751603117637467, 0.04098021915476573, 0.04146725039014168, -0.05929835037360981, -0.26615669516225654, -0.07470744567220672, 0.05583919359273032, 0.03679456161447441, -0.004169194921320141, 0.1278862427887425, -0.09935349881191526, -0.11621073917730858, 0.34782321687395634, -0.08776639426421178, -0.09283576618161118, 0.14414581512672858, -0.19025018751588568, -0.1783455527140432, 0.249649580960211, 0.14762873302230187, 0.15031581275009862, -0.1096145907057482, 0.1294404280661981, -0.021957128856069687, 0.17717955068668775, 0.1670862170459147, 0.10352807390715993, 0.16677711554394478, 0.14592460871331, -0.05780590050281924, 0.054933394926289715, -0.11666316942213789, -0.07302717423462718, -0.3024500298524161, -0.10748925613925646, -0.12898224831575103, 0.10009192997638724, -0.017864414629130215, -0.0476081515907457, 0.2786098858831744, 0.0165650751768497, 0.27149437943865595, -0.042618031640079594, 0.1798777423733682, 0.05985355571631277, 0.07167117883555445, 0.016472031346015763, 0.2539737633053671, 0.2134326751131499, 0.07900412641302273, -0.31631927699945345, 0.06851869062602259, -0.04032170434335345] |
711.4944 | Development of miniaturized light endoscope-holder robot for
laparoscopic surgery | PURPOSE: We have conducted experiments with an innovatively designed robot
endoscope holder for laparoscopic surgery that is small and low cost. MATERIALS
AND METHODS: A compact light endoscope robot (LER) that is placed on the
patient's skin and can be used with the patient in the lateral or dorsal supine
position was tested on cadavers and laboratory pigs in order to allow
successive modifications. The current control system is based on voice
recognition. The range of vision is 360 degrees with an angle of 160 degrees .
Twenty-three procedures were performed. RESULTS: The tests made it possible to
advance the prototype on a variety of aspects, including reliability,
steadiness, ergonomics, and dimensions. The ease of installation of the robot,
which takes only 5 minutes, and the easy handling made it possible for 21 of
the 23 procedures to be performed without an assistant. CONCLUSION: The LER is
a camera holder guided by the surgeon's voice that can eliminate the need for
an assistant during laparoscopic surgery. The ease of installation and
manufacture should make it an effective and inexpensive system for use on
patients in the lateral and dorsal supine positions. Randomized clinical trials
will soon validate a new version of this robot prior to marketing.
| cs.OH | purpose we have conducted experiments with an innovatively designed robot endoscope holder for laparoscopic surgery that is small and low cost materials and methods a compact light endoscope robot ler that is placed on the patients skin and can be used with the patient in the lateral or dorsal supine position was tested on cadavers and laboratory pigs in order to allow successive modifications the current control system is based on voice recognition the range of vision is 360 degrees with an angle of 160 degrees twentythree procedures were performed results the tests made it possible to advance the prototype on a variety of aspects including reliability steadiness ergonomics and dimensions the ease of installation of the robot which takes only 5 minutes and the easy handling made it possible for 21 of the 23 procedures to be performed without an assistant conclusion the ler is a camera holder guided by the surgeons voice that can eliminate the need for an assistant during laparoscopic surgery the ease of installation and manufacture should make it an effective and inexpensive system for use on patients in the lateral and dorsal supine positions randomized clinical trials will soon validate a new version of this robot prior to marketing | [['purpose', 'we', 'have', 'conducted', 'experiments', 'with', 'an', 'innovatively', 'designed', 'robot', 'endoscope', 'holder', 'for', 'laparoscopic', 'surgery', 'that', 'is', 'small', 'and', 'low', 'cost', 'materials', 'and', 'methods', 'a', 'compact', 'light', 'endoscope', 'robot', 'ler', 'that', 'is', 'placed', 'on', 'the', 'patients', 'skin', 'and', 'can', 'be', 'used', 'with', 'the', 'patient', 'in', 'the', 'lateral', 'or', 'dorsal', 'supine', 'position', 'was', 'tested', 'on', 'cadavers', 'and', 'laboratory', 'pigs', 'in', 'order', 'to', 'allow', 'successive', 'modifications', 'the', 'current', 'control', 'system', 'is', 'based', 'on', 'voice', 'recognition', 'the', 'range', 'of', 'vision', 'is', '360', 'degrees', 'with', 'an', 'angle', 'of', '160', 'degrees', 'twentythree', 'procedures', 'were', 'performed', 'results', 'the', 'tests', 'made', 'it', 'possible', 'to', 'advance', 'the', 'prototype', 'on', 'a', 'variety', 'of', 'aspects', 'including', 'reliability', 'steadiness', 'ergonomics', 'and', 'dimensions', 'the', 'ease', 'of', 'installation', 'of', 'the', 'robot', 'which', 'takes', 'only', '5', 'minutes', 'and', 'the', 'easy', 'handling', 'made', 'it', 'possible', 'for', '21', 'of', 'the', '23', 'procedures', 'to', 'be', 'performed', 'without', 'an', 'assistant', 'conclusion', 'the', 'ler', 'is', 'a', 'camera', 'holder', 'guided', 'by', 'the', 'surgeons', 'voice', 'that', 'can', 'eliminate', 'the', 'need', 'for', 'an', 'assistant', 'during', 'laparoscopic', 'surgery', 'the', 'ease', 'of', 'installation', 'and', 'manufacture', 'should', 'make', 'it', 'an', 'effective', 'and', 'inexpensive', 'system', 'for', 'use', 'on', 'patients', 'in', 'the', 'lateral', 'and', 'dorsal', 'supine', 'positions', 'randomized', 'clinical', 'trials', 'will', 'soon', 'validate', 'a', 'new', 'version', 'of', 'this', 'robot', 'prior', 'to', 'marketing']] | [-0.07525839620445877, 0.0816816813208123, -0.08023469559848309, 0.0027990234638109986, -0.12105915114033694, -0.1753992316949113, 0.04121134141005758, 0.43873125837161775, -0.18912949947890167, -0.3491791213612731, 0.14817719009829822, -0.25132593570004513, -0.1284326980242551, 0.26469068675665414, -0.1448002233192688, 0.08463950912218268, 0.11634847200362057, 0.032887661907958186, -0.019652008768114283, -0.2689508958288082, 0.21809470023244346, 0.056966435161941664, 0.2781388965049168, 0.07097021795457184, 0.14015012209462682, 0.05552489337306924, -0.0010079384327116535, -0.019723606197072602, -0.08681913433683804, 0.08745223090007175, 0.26421211273182277, 0.1538146870880865, 0.27811740000118934, -0.45412578322220504, -0.15431896247503507, 0.04729826259653924, 0.09497282126032543, 0.0689982566363519, -0.025141743810069405, -0.34946281530031165, 0.08788794392376298, -0.15872510897745265, -0.12447429042105086, -0.06590433838640954, 0.00024319229329504617, -0.0059725303134721954, -0.26804076088194895, -0.023409572073468575, -0.01764852833911413, 0.15154564929785344, -0.06407322542594246, -0.09705493120290623, 0.020741682445130697, 0.2103505206453364, 0.03134767095921788, 0.07736240641736403, 0.19319355212742598, -0.1312208055529925, -0.1280481192964788, 0.360332646784259, 0.0332767312656293, -0.19636211444328472, 0.2118210023274736, -0.07804452075123242, -0.08913617432117463, 0.12982282378233787, 0.20374674862250686, 0.10334388137931322, -0.17500345788260058, -0.01985841062979023, 0.03630877449006842, 0.22429947569091782, 0.07379797124076726, -0.08116022607584189, 0.1680822816223088, 0.2107795204331235, 0.037804440646602704, 0.11475233494292764, -0.15734433656126806, -0.004891458788614084, -0.2677864341161827, -0.18777670951378417, -0.1343967167853673, 0.0024921224520700735, -0.0704351209279394, -0.10716867513454906, 0.37682305714229075, 0.1713675366972982, 0.10780547365500796, 0.04297437804308152, 0.3252298276985019, -0.002281483586468711, 0.1248961952583092, 0.016514147161619693, 0.23330711980134522, 0.018396972244741714, 0.16144800273610688, -0.18241247965886098, 0.09603430931797115, 0.006451304577200151] |
711.4945 | Renormalized cluster expansion of the microfield distribution in a
strongly coupled two-component plasmas | The electric microfield distribution (MFD) at an impurity ion is studied for
two-component (TCP) electron-ion plasmas using molecular dynamics simulation
and theoretical models. The particles are treated within classical statistical
mechanics using an electron-ion Coulomb potential regularized at distances less
than the de Broglie length to take into account quantum-diffraction effects.
Corrections to the potential-of-mean-force exponential (PMFEX) approximation
recently proposed for MFD in a strongly coupled TCP [Phys. Rev. E 72, 036403
(2005)] are obtained and discussed. This has been done by a generalization of
the standard Baranger-Mozer and renormalized cluster expansion techniques
originally developed for the one-component plasmas to the TCPs. The results
obtained for a neutral point are compared with those from molecular dynamics
simulations. It is shown that the corrections do not help to improve the PMFEX
approximation for a TCP with low ionic charge Z. But starting with Z > 5 the
PMFEX model is substantially improved and the agreement with numerical
simulations is excellent. We have also found that with increasing coupling the
PMFEX approximation becomes invalid to predict the MFD at a neutral point while
its corrected version agrees satisfactory with the simulations.
| physics.plasm-ph | the electric microfield distribution mfd at an impurity ion is studied for twocomponent tcp electronion plasmas using molecular dynamics simulation and theoretical models the particles are treated within classical statistical mechanics using an electronion coulomb potential regularized at distances less than the de broglie length to take into account quantumdiffraction effects corrections to the potentialofmeanforce exponential pmfex approximation recently proposed for mfd in a strongly coupled tcp phys rev e 72 036403 2005 are obtained and discussed this has been done by a generalization of the standard barangermozer and renormalized cluster expansion techniques originally developed for the onecomponent plasmas to the tcps the results obtained for a neutral point are compared with those from molecular dynamics simulations it is shown that the corrections do not help to improve the pmfex approximation for a tcp with low ionic charge z but starting with z 5 the pmfex model is substantially improved and the agreement with numerical simulations is excellent we have also found that with increasing coupling the pmfex approximation becomes invalid to predict the mfd at a neutral point while its corrected version agrees satisfactory with the simulations | [['the', 'electric', 'microfield', 'distribution', 'mfd', 'at', 'an', 'impurity', 'ion', 'is', 'studied', 'for', 'twocomponent', 'tcp', 'electronion', 'plasmas', 'using', 'molecular', 'dynamics', 'simulation', 'and', 'theoretical', 'models', 'the', 'particles', 'are', 'treated', 'within', 'classical', 'statistical', 'mechanics', 'using', 'an', 'electronion', 'coulomb', 'potential', 'regularized', 'at', 'distances', 'less', 'than', 'the', 'de', 'broglie', 'length', 'to', 'take', 'into', 'account', 'quantumdiffraction', 'effects', 'corrections', 'to', 'the', 'potentialofmeanforce', 'exponential', 'pmfex', 'approximation', 'recently', 'proposed', 'for', 'mfd', 'in', 'a', 'strongly', 'coupled', 'tcp', 'phys', 'rev', 'e', '72', '036403', '2005', 'are', 'obtained', 'and', 'discussed', 'this', 'has', 'been', 'done', 'by', 'a', 'generalization', 'of', 'the', 'standard', 'barangermozer', 'and', 'renormalized', 'cluster', 'expansion', 'techniques', 'originally', 'developed', 'for', 'the', 'onecomponent', 'plasmas', 'to', 'the', 'tcps', 'the', 'results', 'obtained', 'for', 'a', 'neutral', 'point', 'are', 'compared', 'with', 'those', 'from', 'molecular', 'dynamics', 'simulations', 'it', 'is', 'shown', 'that', 'the', 'corrections', 'do', 'not', 'help', 'to', 'improve', 'the', 'pmfex', 'approximation', 'for', 'a', 'tcp', 'with', 'low', 'ionic', 'charge', 'z', 'but', 'starting', 'with', 'z', '5', 'the', 'pmfex', 'model', 'is', 'substantially', 'improved', 'and', 'the', 'agreement', 'with', 'numerical', 'simulations', 'is', 'excellent', 'we', 'have', 'also', 'found', 'that', 'with', 'increasing', 'coupling', 'the', 'pmfex', 'approximation', 'becomes', 'invalid', 'to', 'predict', 'the', 'mfd', 'at', 'a', 'neutral', 'point', 'while', 'its', 'corrected', 'version', 'agrees', 'satisfactory', 'with', 'the', 'simulations']] | [-0.06272996958628077, 0.11337391672776737, -0.09661427830466099, 0.08913241625670844, 0.016819434558098974, -0.1681400715944267, 0.029373652108954967, 0.347016621737801, -0.17997351901165098, -0.2917078499512006, 0.01788220471472189, -0.30166132367711757, -0.07202694502343694, 0.19059478775886018, 0.010182468419624191, 0.05934655724903218, 0.04661980216010844, -0.021350993016254035, -0.07312361677728033, -0.24152291171322826, 0.2059693372863475, 0.15915503564681258, 0.26558436410406466, 0.0698182669040116, 0.07377236353243471, 0.010471442530948108, -0.025394694649323982, 0.07443280087443449, -0.14964589192721334, 0.03928710023311758, 0.2119110658928861, 0.008815658395178616, 0.24413424776616677, -0.4240603024760882, -0.27199321657466774, 0.05230436746972383, 0.15858929470852418, 0.14702630809493242, -0.043243957095890885, -0.275047459374232, 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0.31799155157963843, 0.16455517560637917, 0.1524142203927641, 0.04845252589345159, 0.28703618550332644, 0.1494789477412699, 0.044792475767173275, 0.10875153407448701, 0.28930827268206527, 0.16431350225610258, 0.11949259741669921, -0.2397196896546971, 0.036449476774852045, 0.07986452285280471] |
711.4946 | Effective temperature of active matter | We follow the dynamics of an ensemble of interacting self-propelled motorized
particles in contact with an equilibrated thermal bath. We find that the
fluctuation-dissipation relation allows for the definition of an effective
temperature that is compatible with the results obtained using a tracer
particle as a thermometer. The effective temperature takes a value which is
higher than the temperature of the bath and it is continuously controlled by
the motor intensity.
| cond-mat.soft cond-mat.stat-mech q-bio.CB | we follow the dynamics of an ensemble of interacting selfpropelled motorized particles in contact with an equilibrated thermal bath we find that the fluctuationdissipation relation allows for the definition of an effective temperature that is compatible with the results obtained using a tracer particle as a thermometer the effective temperature takes a value which is higher than the temperature of the bath and it is continuously controlled by the motor intensity | [['we', 'follow', 'the', 'dynamics', 'of', 'an', 'ensemble', 'of', 'interacting', 'selfpropelled', 'motorized', 'particles', 'in', 'contact', 'with', 'an', 'equilibrated', 'thermal', 'bath', 'we', 'find', 'that', 'the', 'fluctuationdissipation', 'relation', 'allows', 'for', 'the', 'definition', 'of', 'an', 'effective', 'temperature', 'that', 'is', 'compatible', 'with', 'the', 'results', 'obtained', 'using', 'a', 'tracer', 'particle', 'as', 'a', 'thermometer', 'the', 'effective', 'temperature', 'takes', 'a', 'value', 'which', 'is', 'higher', 'than', 'the', 'temperature', 'of', 'the', 'bath', 'and', 'it', 'is', 'continuously', 'controlled', 'by', 'the', 'motor', 'intensity']] | [-0.10270977964047605, 0.25183822303042175, -0.15846739814970906, -0.020431435786672985, 0.005545310531808457, -0.1416376470850492, 0.020058425104009434, 0.3588066229622969, -0.21676647346991468, -0.307654730503408, 0.010826843520167323, -0.29400789882339257, -0.08594061852052388, 0.19747435548965833, -0.008445557980785067, -0.0025951922149725364, 0.002612534831737129, 0.07833373600380941, -0.024037666494210422, -0.14513417914457305, 0.2783152623639875, 0.13031739868144965, 0.2641327305841194, 0.048062816570499836, 0.18235165885531565, 0.010676966658727804, 0.04687714356351906, 0.07498912043823586, -0.12326276841885771, 0.04473690107517259, 0.16306514887165435, 0.014397420074370965, 0.20389784593135118, -0.39424803210291226, -0.2097741016383532, 0.09053752275551079, 0.13021404464060152, 0.12265248285626179, -0.04528326068965482, -0.2317805312521441, -0.009278823956060158, -0.1709673057382428, -0.18098225516044128, -0.06064618444463737, 0.014036839014627564, 0.016736555614994025, -0.2817160895645199, 0.10993158145935576, 0.06856618641259175, 0.0725079266433145, -0.07345088948840013, -0.060608268125166356, -0.03809154149092419, 0.1332745642506216, -0.0004702557737506192, 0.038038659611270884, 0.2885912708269144, -0.14828335140293963, -0.029999376084445646, 0.37095881189206537, -0.1497347098227974, -0.1822889897591946, 0.21953875557060393, -0.09868846429695546, -0.07356416624249287, 0.1454672437213676, 0.08846063934214099, 0.10962734477017337, -0.22439515081719613, 0.016303050724468127, -0.05096299221581766, 0.2058156660502173, -0.0008144596670295151, -0.03990663261428266, 0.24108851334394912, 0.2222899693444791, 0.08211366066210707, 0.18137330759454415, -0.07887611813633374, -0.1316759314414271, -0.26828948054200324, -0.1889092184760621, -0.2230832469403665, 0.06311645206641144, -0.13636636627738816, -0.13426781696936405, 0.3425525015508625, 0.17499873432999766, 0.2065451912004763, 0.09924867250595872, 0.2832358801921069, 0.1810153646929137, 0.05491512982358395, 0.061776940632139295, 0.24771251685550094, 0.1515250377862019, 0.12470626455902213, -0.2944788968151199, 0.029716022050296758, 0.021739957014649685] |
711.4947 | Some aspects of ultra-relativistic heavy ion collisions | In this talk, I discuss some recent results obtained in Heavy Ion Collisions
and what they tell us -- or what questions they raise -- about the physics of
the system of quarks and gluons formed in these collisions.
| nucl-th hep-ph | in this talk i discuss some recent results obtained in heavy ion collisions and what they tell us or what questions they raise about the physics of the system of quarks and gluons formed in these collisions | [['in', 'this', 'talk', 'i', 'discuss', 'some', 'recent', 'results', 'obtained', 'in', 'heavy', 'ion', 'collisions', 'and', 'what', 'they', 'tell', 'us', 'or', 'what', 'questions', 'they', 'raise', 'about', 'the', 'physics', 'of', 'the', 'system', 'of', 'quarks', 'and', 'gluons', 'formed', 'in', 'these', 'collisions']] | [-0.04940844573886008, 0.261647978055014, -0.14063327955837185, 0.19126121063930662, -0.01685181582296217, -0.1595917835428908, 0.016842893198937982, 0.3202731530307918, -0.2627059011845975, -0.32560332401378733, 0.04375692575578452, -0.3432420873511079, -0.015235513178128246, 0.11227910063934286, -0.05222984473850276, 0.000727048798187359, 0.14463076398179336, 0.034731661567363785, -0.03429759178637854, -0.34686718911335274, 0.342150152937786, 0.061424600010788116, 0.1291482685939283, 0.19133651567421653, 0.020197422621217934, -0.01715317528971748, -0.060995289174890194, -0.0356494328007102, -0.16867081589392713, 0.13985478021110082, 0.24042479729128852, 0.16981955028667645, 0.21506867839677915, -0.506154477999017, -0.13354043496420254, 0.05078254559555569, 0.15196610931810495, 0.13272688819749937, -0.08191366515097183, -0.2830094803829451, 0.04760104828715526, -0.19100517245966034, -0.1960977127121107, -0.009069690719951649, -0.023445105305998713, 0.015469291473965387, -0.18603023332921234, 0.0062824530980071505, 0.1093724628759397, 0.06993922067655099, 0.018103394556689908, -0.18834978743217182, 0.03432939401701898, 0.054429336545384815, 0.12568490881774877, 0.020398271421121585, 0.14639673064890746, -0.23322463950544997, -0.1490838344435434, 0.4123889971021059, 0.05789663003933792, -0.11368956515011755, 0.2709672384316454, -0.2649897936026792, -0.1769042347331305, 0.03982362030325709, 0.24699126206640457, 0.0769698408407134, -0.1679884939882401, -0.011225379679377217, -0.07728889233407539, 0.13288308043126096, 0.1437783565472912, 0.1090966947376728, 0.27056512397688787, 0.1221458445731047, -0.09732071862782578, 0.002708467680448037, 0.04774329761622121, -0.08600161534205482, -0.3434981892036425, -0.1273192674978762, -0.06210921534865692, 0.06873277587363043, 0.020028301112737658, -0.042918420195378164, 0.36294976158722025, 0.2667353918423524, 0.26408614308850187, -0.12583055276725744, 0.19845072572698463, 0.04464959224837052, 0.010387841888980285, 0.10723535157740116, 0.29583018420758106, 0.11965327876041064, 0.24227322849470215, -0.19193357642035228, 0.006459904888116226, 0.03241400382909421] |
711.4948 | Near-critical percolation in two dimensions | We give a self-contained and detailed presentation of Kesten's results that
allow to relate critical and near-critical percolation on the triangular
lattice. They constitute an important step in the derivation of the exponents
describing the near-critical behavior of this model. For future use and
reference, we also show how these results can be obtained in more general
situations, and we state some new consequences.
| math.PR | we give a selfcontained and detailed presentation of kestens results that allow to relate critical and nearcritical percolation on the triangular lattice they constitute an important step in the derivation of the exponents describing the nearcritical behavior of this model for future use and reference we also show how these results can be obtained in more general situations and we state some new consequences | [['we', 'give', 'a', 'selfcontained', 'and', 'detailed', 'presentation', 'of', 'kestens', 'results', 'that', 'allow', 'to', 'relate', 'critical', 'and', 'nearcritical', 'percolation', 'on', 'the', 'triangular', 'lattice', 'they', 'constitute', 'an', 'important', 'step', 'in', 'the', 'derivation', 'of', 'the', 'exponents', 'describing', 'the', 'nearcritical', 'behavior', 'of', 'this', 'model', 'for', 'future', 'use', 'and', 'reference', 'we', 'also', 'show', 'how', 'these', 'results', 'can', 'be', 'obtained', 'in', 'more', 'general', 'situations', 'and', 'we', 'state', 'some', 'new', 'consequences']] | [-0.06630433015925519, 0.12910505482636836, -0.12979352264665067, 0.07289110443343816, -0.07196435693185776, -0.12510817981819855, 0.05797214917220117, 0.3708171179114288, -0.21888579211372416, -0.22229281292675296, 0.10619771501296782, -0.25868699414422736, -0.2061915671620227, 0.2536832073565165, -0.05643941332527902, 0.034604947111802176, 0.050748578272759914, 0.03623291208714363, -0.0554116509438245, -0.23731334443436936, 0.3068884179665474, 0.05322609790164279, 0.23732381328591146, 0.11711579069378786, 0.014900169466272928, 0.02977287430258002, -0.015833389275940135, 0.047190788500302006, -0.26421588975438226, 0.13225826910274918, 0.2178698881471064, 0.08955439132842002, 0.19274810812203214, -0.466402719495818, -0.1766818430260173, 0.08423425217188196, 0.15625060648744693, 0.1784527074196376, -0.05718377804373631, -0.25894871380296536, 0.06659687613409915, -0.1652633700359729, -0.18355360689747613, -0.148697860451648, -0.007137374515878037, 0.038597204325924395, -0.24347389009199105, 0.04706524616949537, 0.12688970986710046, 0.04856677082489114, -0.07103383357753046, -0.1278433192619559, 0.05027674618031597, 0.19498160688090138, 0.0100403214146354, -0.02735209680395201, 0.0846278198514483, -0.1326038902225264, -0.1128060998453293, 0.3814110862585949, -0.024205379508202896, -0.2067730688431766, 0.20630823868850712, -0.15718819902394898, -0.22139191242968081, 0.05503468280949164, 0.19576114922529086, 0.10579702463292051, -0.11771196454355959, 0.022910014286026126, -0.07180616993719013, 0.13783371594035998, 0.019006751725100912, 0.027697310627445404, 0.2090076365857385, 0.1750680685363477, 0.06715526619518641, 0.1729403040426405, -0.010029668166680494, -0.11447741334995953, -0.377562154782936, -0.17573060705763055, -0.12507010520494077, 0.08051457250257954, -0.13325284891379852, -0.16663664703810355, 0.38175891869468614, 0.23478092669392936, 0.23069890079204924, 0.06272682661074214, 0.18169359699822962, 0.13160783091916528, -0.03141009913815651, 0.04188771084591281, 0.21467162077397006, 0.11914941782015376, 0.10435841968137538, -0.13700402903486975, 0.03332355412567267, 0.10102022707724245] |
711.4949 | Irreducible representations of inner quasidiagonal C*-algebras | It is shown that a separable C*-algebra is inner quasidiagonal if and only if
it has a separating family of quasidiagonal irreducible representations. As a
consequence, a separable C*-algebra is a strong NF algebra if and only if it is
nuclear and has a separating family of quasidiagonal irreducible
representations. We also obtain some permanence properties of the class of
inner quasidiagonal C*-algebras.
| math.OA | it is shown that a separable calgebra is inner quasidiagonal if and only if it has a separating family of quasidiagonal irreducible representations as a consequence a separable calgebra is a strong nf algebra if and only if it is nuclear and has a separating family of quasidiagonal irreducible representations we also obtain some permanence properties of the class of inner quasidiagonal calgebras | [['it', 'is', 'shown', 'that', 'a', 'separable', 'calgebra', 'is', 'inner', 'quasidiagonal', 'if', 'and', 'only', 'if', 'it', 'has', 'a', 'separating', 'family', 'of', 'quasidiagonal', 'irreducible', 'representations', 'as', 'a', 'consequence', 'a', 'separable', 'calgebra', 'is', 'a', 'strong', 'nf', 'algebra', 'if', 'and', 'only', 'if', 'it', 'is', 'nuclear', 'and', 'has', 'a', 'separating', 'family', 'of', 'quasidiagonal', 'irreducible', 'representations', 'we', 'also', 'obtain', 'some', 'permanence', 'properties', 'of', 'the', 'class', 'of', 'inner', 'quasidiagonal', 'calgebras']] | [-0.08729776192922145, 0.157321877984537, -0.16727584556099914, 0.032073375480693014, -0.1286354222527099, -0.16600180684869725, -0.060565834894539816, 0.44700288713451414, -0.3758590943993084, -0.12162559479475021, 0.14627816963068668, -0.2708089983179456, -0.1446717684822423, 0.18770053135674625, -0.10076174533201589, -0.06913369033663046, 0.15209578441840316, 0.17136754204947796, -0.15091308451346344, -0.21964912561123215, 0.3982062777947812, -0.0714948827193843, 0.14872661643912868, 0.09143509410528673, 0.15652480992000728, -0.038942088934755516, 0.07257112995203999, 0.0344484748525752, -0.07063794940664334, 0.0734796468907642, 0.3224470155343177, 0.14987693843801345, 0.27480840209191515, -0.2812747915112783, -0.164704485500734, 0.2694475700014404, 0.112531977631743, -0.016169379154841106, -0.08876937858405567, -0.2575762745229498, 0.10529198051090279, -0.3159112658883844, -0.09290988546692663, -0.15010489165664664, 0.1624012685839146, -0.08787939632459292, -0.2712174838793183, -0.012800793005024187, 0.18729674916655298, 0.05384679843804666, -0.0872891095008642, -0.06372801573680979, -0.10558983361318944, 0.07604673150779, -0.05443733682235082, 0.023892376327975876, 0.1417299384502546, -0.07115583452913496, -0.034861705265939236, 0.3394652126441961, -0.00034830025914642547, -0.2158571290931413, 0.22021018669363998, -0.20308290351004826, -0.20820947973028062, 0.13188848674799952, 0.02188900127888672, 0.12919205172903955, -0.05215350202920418, 0.2343797271393077, -0.24590661837941125, 0.13158378094833875, -0.003997805099638682, 0.05490033051353835, 0.09964297794633442, 0.1225795396307986, 0.151447134255062, 0.16025846065687283, 0.10940713696329603, 0.02230241746893005, -0.33064801600717364, -0.14109317769133856, -0.16344227305509978, 0.13978544977449237, -0.05024030466036435, -0.18976343537095033, 0.39152420176902697, -0.009106083492201471, 0.15113712360875475, 0.07241944417298313, 0.2348266338323435, 0.049891837249835216, 0.10114302199393038, 0.1787647507079537, 0.19676435971863582, 0.32206832465257434, -0.11759044618774502, -0.13277744226867244, 0.0726997076075465, 0.19807304131488004] |
711.495 | The Ground Scalar Nonet and D Decays | A short review on light scalar mesons is performed both in experiment and
theory. A naive model, constrained by D branching ratios, is derived in order
to make predictions on the wave functions of the $f_0(600)$ and $a_0(980)$
mesons. This leads us to compute transition form factors between the
pseudoscalar $B$ and scalar mesons.
| hep-ph | a short review on light scalar mesons is performed both in experiment and theory a naive model constrained by d branching ratios is derived in order to make predictions on the wave functions of the f_0600 and a_0980 mesons this leads us to compute transition form factors between the pseudoscalar b and scalar mesons | [['a', 'short', 'review', 'on', 'light', 'scalar', 'mesons', 'is', 'performed', 'both', 'in', 'experiment', 'and', 'theory', 'a', 'naive', 'model', 'constrained', 'by', 'd', 'branching', 'ratios', 'is', 'derived', 'in', 'order', 'to', 'make', 'predictions', 'on', 'the', 'wave', 'functions', 'of', 'the', 'f_0600', 'and', 'a_0980', 'mesons', 'this', 'leads', 'us', 'to', 'compute', 'transition', 'form', 'factors', 'between', 'the', 'pseudoscalar', 'b', 'and', 'scalar', 'mesons']] | [-0.10131922246633891, 0.22325186883271844, -0.09873164659021078, 0.1363416970642801, -0.07886977913720464, -0.17116678970072557, 0.08864384753353617, 0.32371068963160116, -0.14891738044442954, -0.22194228279921743, -0.060755261810737905, -0.3148313380639862, -0.10267277229232369, 0.08183382540786018, 0.09614323414172288, 0.08985490817576647, 0.05864509681231101, 0.06336522678396216, -0.057767861436500596, -0.18969287211075425, 0.3137221242758204, -0.029650580379422063, 0.1896997190735958, 0.1379488605350532, 0.008847516832045384, 0.012599036899498768, -0.048917883049903646, -0.07807580269528208, -0.12515822228872114, 0.11137169884103867, 0.18333438970148563, 0.12461430829501262, 0.14348791408594008, -0.37377417537694174, -0.12764376312649497, 0.11020554446494552, 0.13595653866434954, 0.08133584666238339, 0.04992023065117084, -0.3270928213648774, 0.09763781421093477, -0.14655383317558854, -0.1088353738585418, -0.1454403401111011, 0.032161265715128846, -0.07667535383909664, -0.3668372875114006, 0.07538368618029549, -0.09609452883402507, 0.013326245894724573, -0.040102193407990316, -0.21322084977119057, 0.03120526094507012, 0.010194612399640458, 0.15361236641830248, 0.1398147050274053, 0.14656485299821254, -0.15837549730807682, -0.13514308842476802, 0.43749529038797375, -0.14830267054451354, -0.2395181385455308, 0.1380200759050678, -0.1568867985797287, -0.08154742701703475, 0.11438049055222008, 0.26765985048755453, 0.08988040587347415, -0.15881583123916276, 0.09251735212509865, -0.039808160814842536, 0.19309154159768863, 0.08371673050095085, 0.050819021063270395, 0.19969098835631652, 0.13851212184117348, -0.08663637073779548, 0.07106181568707581, 0.005978874456896274, -0.11735506410951968, -0.358590443170181, -0.1149511417305028, -0.07160118468864649, 0.07977003804531975, -0.07208881572808389, -0.08221428003162146, 0.392077966927361, 0.057165214619426814, 0.2880956852394674, 0.05285421027629464, 0.2905705890670005, 0.10625986230594141, 0.03805208422730815, 0.06312592043023971, 0.3198268372668988, 0.2907539750320009, 0.15158415266692085, -0.24550413130782545, -0.0012915470395927077, 0.06543310911015228] |
711.4951 | The galaxy luminosity function of the Abell 496 cluster and its spatial
variations | We investigate the LF in the very relaxed cluster Abell 496. Our analysis is
based on deep images obtained at CFHT with MegaPrime/MegaCam in four bands
(ugri) covering a 1x1 deg2 region, which is centered on the cluster Abell 496
and extends to near its virial radius. The LFs are estimated by statistically
subtracting a reference field taken as the mean of the 4 Deep fields of the
CFHTLS survey. Background contamination is minimized by cutting out galaxies
redder than the observed Red Sequence in the g-i versus i colour-magnitude
diagram. In Abell 496, the global LFs show a faint-end slope alpha=-1.55+/-0.06
and vary little with observing band. Without colour cuts, the LFs are much
noisier but not significantly steeper. The faint-end slopes show a
statistically significant steepening from alpha=-1.4+/-0.1 in the central
region (extending to half a virial radius) to -1.8+/-0.1 in the Southern
envelope of the cluster. Cosmic variance and uncertain star-galaxy separation
are our main limiting factors in measuring the faint-end of the LFs. The
large-scale environment of Abell 496, probed with the fairly complete 6dFGS
catalogue, shows a statistically significant 36 Mpc long filament at PA=137
deg, but we do not find an enhanced LF along this axis. Our LFs do not display
the large number of dwarf galaxies (alpha ~ -2) inferred by several authors,
whose analyses may suffer from field contamination caused by inexistent or
inadequate colour cuts. Alternatively, different clusters may have different
faint-end slopes, but this is hard to reconcile with the wide range of slopes
found for given clusters and for wide sets of clusters.
| astro-ph | we investigate the lf in the very relaxed cluster abell 496 our analysis is based on deep images obtained at cfht with megaprimemegacam in four bands ugri covering a 1x1 deg2 region which is centered on the cluster abell 496 and extends to near its virial radius the lfs are estimated by statistically subtracting a reference field taken as the mean of the 4 deep fields of the cfhtls survey background contamination is minimized by cutting out galaxies redder than the observed red sequence in the gi versus i colourmagnitude diagram in abell 496 the global lfs show a faintend slope alpha155006 and vary little with observing band without colour cuts the lfs are much noisier but not significantly steeper the faintend slopes show a statistically significant steepening from alpha1401 in the central region extending to half a virial radius to 1801 in the southern envelope of the cluster cosmic variance and uncertain stargalaxy separation are our main limiting factors in measuring the faintend of the lfs the largescale environment of abell 496 probed with the fairly complete 6dfgs catalogue shows a statistically significant 36 mpc long filament at pa137 deg but we do not find an enhanced lf along this axis our lfs do not display the large number of dwarf galaxies alpha 2 inferred by several authors whose analyses may suffer from field contamination caused by inexistent or inadequate colour cuts alternatively different clusters may have different faintend slopes but this is hard to reconcile with the wide range of slopes found for given clusters and for wide sets of clusters | [['we', 'investigate', 'the', 'lf', 'in', 'the', 'very', 'relaxed', 'cluster', 'abell', '496', 'our', 'analysis', 'is', 'based', 'on', 'deep', 'images', 'obtained', 'at', 'cfht', 'with', 'megaprimemegacam', 'in', 'four', 'bands', 'ugri', 'covering', 'a', '1x1', 'deg2', 'region', 'which', 'is', 'centered', 'on', 'the', 'cluster', 'abell', '496', 'and', 'extends', 'to', 'near', 'its', 'virial', 'radius', 'the', 'lfs', 'are', 'estimated', 'by', 'statistically', 'subtracting', 'a', 'reference', 'field', 'taken', 'as', 'the', 'mean', 'of', 'the', '4', 'deep', 'fields', 'of', 'the', 'cfhtls', 'survey', 'background', 'contamination', 'is', 'minimized', 'by', 'cutting', 'out', 'galaxies', 'redder', 'than', 'the', 'observed', 'red', 'sequence', 'in', 'the', 'gi', 'versus', 'i', 'colourmagnitude', 'diagram', 'in', 'abell', '496', 'the', 'global', 'lfs', 'show', 'a', 'faintend', 'slope', 'alpha155006', 'and', 'vary', 'little', 'with', 'observing', 'band', 'without', 'colour', 'cuts', 'the', 'lfs', 'are', 'much', 'noisier', 'but', 'not', 'significantly', 'steeper', 'the', 'faintend', 'slopes', 'show', 'a', 'statistically', 'significant', 'steepening', 'from', 'alpha1401', 'in', 'the', 'central', 'region', 'extending', 'to', 'half', 'a', 'virial', 'radius', 'to', '1801', 'in', 'the', 'southern', 'envelope', 'of', 'the', 'cluster', 'cosmic', 'variance', 'and', 'uncertain', 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| [-0.04658898938662158, 0.06320272590164677, -0.11950646624183998, 0.10794864910869645, -0.08940646965146208, -0.04491764373378828, 0.04677061382580387, 0.4739877099314561, -0.15619708366463714, -0.3713879501894833, 0.04189340520757609, -0.29189044537376435, -0.02398173649204322, 0.19244758990288785, -0.04466681570747124, -0.034832543579977934, 0.04957369063452531, -0.10447782827899434, -0.046751425498783084, -0.30792283539911014, 0.2717083795067783, 0.03815117077969122, 0.2198080726044002, -0.04967540000395205, 0.030994183383882046, -0.03007755439119557, -0.11568731193681463, 0.03265443841676013, -0.15311420705267945, 0.015672691854818437, 0.25091925722349867, 0.09633731716222918, 0.25979597563138945, -0.2956540184955184, -0.16933867555294105, 0.0999168674556131, 0.22674953669864828, 0.01869411686426387, -0.02201672524231701, -0.2902790790710312, 0.09111684117681132, -0.13061007762623306, -0.14908330738007164, 0.09626027408924598, 0.02366669103458452, 0.028773869595562038, 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711.4952 | A Kerr interior | An exact solution of the Einstein field equations is proposed which
represents a differentially rotating fluid. As this solution matches the
exterior Kerr solution and reduces to the Schwarzschild interior solution by
setting the rotational parameter to zero, it could serve as Kerr interior.
| astro-ph gr-qc | an exact solution of the einstein field equations is proposed which represents a differentially rotating fluid as this solution matches the exterior kerr solution and reduces to the schwarzschild interior solution by setting the rotational parameter to zero it could serve as kerr interior | [['an', 'exact', 'solution', 'of', 'the', 'einstein', 'field', 'equations', 'is', 'proposed', 'which', 'represents', 'a', 'differentially', 'rotating', 'fluid', 'as', 'this', 'solution', 'matches', 'the', 'exterior', 'kerr', 'solution', 'and', 'reduces', 'to', 'the', 'schwarzschild', 'interior', 'solution', 'by', 'setting', 'the', 'rotational', 'parameter', 'to', 'zero', 'it', 'could', 'serve', 'as', 'kerr', 'interior']] | [-0.16429053196175533, -0.018087978905730943, -0.0905132604424249, 0.02882431860251183, -0.1804827721366151, -0.12506272798319432, -0.01972254653545943, 0.21810996849936518, -0.22466774354688823, -0.28477081745354965, 0.14185367937369103, -0.287795532071455, -0.0939139776270498, 0.17474483025514267, -0.09051668028008532, 0.0773534075865014, -0.003877114634220065, 0.07820406128567728, -0.052577591480009934, -0.150465570718304, 0.3228252302453091, 0.09294873476028442, 0.22449045467444442, -0.0619818747615103, 0.14150862994773145, -0.07124921193727377, 0.09048160722225228, 0.0739472823810171, -0.17835077741289174, 0.015587893166494641, 0.26222198545424774, 0.15302089885385198, 0.25435695119879465, -0.37452941066162154, -0.21868615832433783, 0.032133147586137056, 0.2031191135545007, 0.21726534575679002, -0.10230350822464308, -0.28594157499769196, 0.06769575501411138, -0.1637049650519409, -0.2476236428324641, -0.11776576656848192, 0.04167641187615862, -0.02744443972849033, -0.2841974467631768, 0.07890094696036117, 0.09848328804681925, -0.09115292491729964, -0.20834701544266532, -0.022186257283795963, -0.026342029005966404, 0.07892611613814635, 0.13300316464367576, 0.10276654451577501, 0.11709631734993309, -0.07524120540421625, -0.022864656829783184, 0.40040796832181513, -0.1664126427759501, -0.32439023975960235, 0.12661837650970978, -0.16575594647491182, 0.09390202122317119, 0.14222413356500593, 0.11637368649032644, 0.25098584224046633, -0.15181232717904178, 0.14213856986845547, -0.08639632383446125, 0.16655431262386794, 0.17476384413682602, -0.027429762000048704, 0.2911021764263172, 0.12107671530578624, 0.12071898039853708, 0.16569462308490818, -0.05611344164406711, -0.14721745032478462, -0.32252120920880273, -0.1855801002318251, -0.16954660608263855, 0.09065149777399545, -0.19525242223244277, -0.21016656793653965, 0.30436881618383765, 0.078661232043735, 0.13508730993436818, -0.0427724337390497, 0.32544189742342994, 0.1350742099245756, 0.01399482028897513, 0.1525872248881073, 0.34619073472409084, 0.16792977074774998, 0.1618425647823394, -0.27098340957044537, -0.02337609395511787, 0.13955668146478606] |
711.4953 | Kerr interior surfaces | A recently found interior for the Kerr metric is re-investigated by means of
geometrical methods. A surface with nonholonomicity is matched to the surface
of the exterior solution.
| astro-ph gr-qc | a recently found interior for the kerr metric is reinvestigated by means of geometrical methods a surface with nonholonomicity is matched to the surface of the exterior solution | [['a', 'recently', 'found', 'interior', 'for', 'the', 'kerr', 'metric', 'is', 'reinvestigated', 'by', 'means', 'of', 'geometrical', 'methods', 'a', 'surface', 'with', 'nonholonomicity', 'is', 'matched', 'to', 'the', 'surface', 'of', 'the', 'exterior', 'solution']] | [-0.09075695941660174, 0.012871772352675045, -0.13510079454216692, 0.021432914572802407, -0.11122537017972381, -0.06684912534870414, -0.013440984335762483, 0.33482996263989695, -0.21098548877570364, -0.2923614020562834, 0.13386770979397827, -0.28573282683889073, -0.18463168438110086, 0.2099653530727934, -0.08985294146394288, 0.10265823322589751, -0.011161587994407725, 0.08382784264783065, -0.1258977030714353, -0.1763826543810191, 0.39702874629033935, 0.06657990040602507, 0.237787911599433, 0.026411584061053064, 0.14064205203343322, -0.06367278756159875, -0.005382634216436633, 0.13307667716785712, -0.18818889758377164, 0.15167689116464722, 0.17995055456197373, 0.06063976290601271, 0.2270623986367826, -0.35870542422074964, -0.2946288811939734, -0.004237476425866286, 0.09753572099186757, 0.10557727777847538, -0.11246316217713886, -0.2964959339135223, 0.1301048965089851, -0.11676536666022407, -0.20839450254829395, -0.036744104939754364, 0.04469209826654858, -0.016070048807671777, -0.275866751179651, 0.009924432573219141, 0.045700506686612415, 0.0024134008972733108, -0.09831804838203997, -0.04279924915344627, -0.09506234423153931, 0.05577069245002888, 0.056751353993873904, 0.06953016946230221, 0.07330003028942479, -0.05921227657408626, -0.07329031849211012, 0.38159979888479467, -0.08093096491777235, -0.2678061807873072, 0.16304405619976697, -0.18083509897675226, 0.05141845645589961, 0.17386790820293957, 0.08561325625137046, 0.22029054454631275, -0.19579630979785212, 0.1627915617492464, -0.024275495739722694, 0.1506402068598955, 0.13798884488642216, -0.03045015385443414, 0.2570177802785852, 0.1673887468598507, 0.06776147449596061, 0.15646140856875312, -0.1166572007868025, -0.036702504829952014, -0.23979830576313865, -0.16303458075142568, -0.2265651923155895, 0.024827910380231008, -0.10573095006919983, -0.20894324738118383, 0.31921986165818655, -0.010985242720279429, 0.17550003183660684, -0.09044110243795095, 0.2868450307201042, 0.11742118376962564, 0.06051897361046738, 0.09060333593300095, 0.32102173456439265, 0.1786397397518158, 0.046924376032418676, -0.2234899744529415, 0.02759067638328782, 0.14080511778593063] |
711.4954 | The Vacuum Fluctuation Theorem: Exact Schroedinger Equation via
Nonequilibrium Thermodynamics | By assuming that a particle of energy hbar.omega is actually a dissipative
system maintained in a nonequilibrium steady state by a constant throughput of
energy (heat flow), the exact Schroedinger equation is derived, both for
conservative and nonconservative systems. Thereby, only universal properties of
oscillators and nonequilibrium thermostatting are used, such that a maximal
model independence of the hypothesised sub-quantum physics is guaranteed. It is
claimed that this represents the shortest derivation of the Schroedinger
equation from (modern) classical physics in the literature, and the only exact
one, too. Moreover, a "vacuum fluctuation theorem" is presented, with
particular emphasis on possible applications for a better understanding of
quantum mechanical nonlocal effects.
| quant-ph cond-mat.stat-mech physics.hist-ph | by assuming that a particle of energy hbaromega is actually a dissipative system maintained in a nonequilibrium steady state by a constant throughput of energy heat flow the exact schroedinger equation is derived both for conservative and nonconservative systems thereby only universal properties of oscillators and nonequilibrium thermostatting are used such that a maximal model independence of the hypothesised subquantum physics is guaranteed it is claimed that this represents the shortest derivation of the schroedinger equation from modern classical physics in the literature and the only exact one too moreover a vacuum fluctuation theorem is presented with particular emphasis on possible applications for a better understanding of quantum mechanical nonlocal effects | [['by', 'assuming', 'that', 'a', 'particle', 'of', 'energy', 'hbaromega', 'is', 'actually', 'a', 'dissipative', 'system', 'maintained', 'in', 'a', 'nonequilibrium', 'steady', 'state', 'by', 'a', 'constant', 'throughput', 'of', 'energy', 'heat', 'flow', 'the', 'exact', 'schroedinger', 'equation', 'is', 'derived', 'both', 'for', 'conservative', 'and', 'nonconservative', 'systems', 'thereby', 'only', 'universal', 'properties', 'of', 'oscillators', 'and', 'nonequilibrium', 'thermostatting', 'are', 'used', 'such', 'that', 'a', 'maximal', 'model', 'independence', 'of', 'the', 'hypothesised', 'subquantum', 'physics', 'is', 'guaranteed', 'it', 'is', 'claimed', 'that', 'this', 'represents', 'the', 'shortest', 'derivation', 'of', 'the', 'schroedinger', 'equation', 'from', 'modern', 'classical', 'physics', 'in', 'the', 'literature', 'and', 'the', 'only', 'exact', 'one', 'too', 'moreover', 'a', 'vacuum', 'fluctuation', 'theorem', 'is', 'presented', 'with', 'particular', 'emphasis', 'on', 'possible', 'applications', 'for', 'a', 'better', 'understanding', 'of', 'quantum', 'mechanical', 'nonlocal', 'effects']] | [-0.1453964825602131, 0.1349736133774927, -0.1210775949262284, 0.11262075745643259, -0.05828248106178131, -0.17540898468966284, 0.03967971429658785, 0.2748643690971909, -0.25079788872552616, -0.26885225461074364, 0.0727283036040545, -0.2479233207088803, -0.12078101392667573, 0.24213755349649604, -0.015913820838102617, 0.09499993803701154, 0.08424990756126742, 0.06835988803917693, -0.034109526324853603, -0.17291556465909355, 0.28701676117457653, 0.05429868153736901, 0.27234002941095076, 0.05262431117804587, 0.14617102321626427, -0.02521100263363002, 0.021918911663060252, 0.03961711416339821, -0.13603914169869166, 0.08321943923596058, 0.21999974389401106, 0.05319340494335503, 0.27899631119526186, -0.41293028515537045, -0.273704087093204, 0.09741315365399796, 0.09736423389063226, 0.14257441118762298, -0.03892760891320503, -0.24809113498105928, 0.034026944875582915, -0.16616979991882905, -0.1614782113900727, -0.053858030822362984, 0.05414548362731128, 0.03514974434369218, -0.22992446939754593, 0.14341965883022156, 0.1143721250024297, 0.006554192334816263, -0.058449462593138754, -0.069864526402566, -0.04271805927425892, 0.08292855940306106, 0.0038894808123324503, 0.009205667486598899, 0.13747993725779895, -0.16475295636861645, -0.09839266384028839, 0.41614812139321017, -0.05814387541272686, -0.220855592439572, 0.18890833690854814, -0.10258995876689483, -0.10608171450125205, 0.11485390834980183, 0.09631791681697306, 0.09063007620473702, -0.2151979122201803, 0.13010030169604211, -0.03800303640834114, 0.16894427332439804, 0.03951238529958032, 0.056485111317555375, 0.1929845505201065, 0.1632766972048426, 0.07146101533477237, 0.11882055839754406, 0.026726940172716037, -0.17348814450323935, -0.3408805105734516, -0.14805037360549234, -0.22952784435101994, 0.12508414654891836, -0.06404000090664307, -0.15798196889594332, 0.37154396438786574, 0.13159467161345706, 0.11049152451760329, 0.016308779482150804, 0.29242185910173635, 0.1816441954537253, 0.00601155122716886, 0.09157670597621315, 0.27551010981000756, 0.17687199413692495, 0.12328234690593907, -0.2613485052632084, 0.04632639763184596, 0.07644823193130595] |
711.4955 | Josephson current and Andreev states in superconductor-half
metal-superconductor heterostructures | We develop a detailed microscopic theory describing dc Josephson effect and
Andreev bound states in superconducting junctions with a half-metal. In such
systems the supercurrent is caused by triplet pairing states emerging due to
spin-flip scattering at the interfaces between superconducting electrodes and
the half-metal. For sufficiently clean metals we provide a detailed
non-perturbative description of the Josephson current at arbitrary
transmissions and spin-flip scattering parameters for both interfaces. Our
analysis demonstrates that the behavior of both the Josephson current and
Andreev bound states crucially depends on the strength of spin-flip scattering
showing a rich variety of features which can be tested in future experiments.
| cond-mat.supr-con | we develop a detailed microscopic theory describing dc josephson effect and andreev bound states in superconducting junctions with a halfmetal in such systems the supercurrent is caused by triplet pairing states emerging due to spinflip scattering at the interfaces between superconducting electrodes and the halfmetal for sufficiently clean metals we provide a detailed nonperturbative description of the josephson current at arbitrary transmissions and spinflip scattering parameters for both interfaces our analysis demonstrates that the behavior of both the josephson current and andreev bound states crucially depends on the strength of spinflip scattering showing a rich variety of features which can be tested in future experiments | [['we', 'develop', 'a', 'detailed', 'microscopic', 'theory', 'describing', 'dc', 'josephson', 'effect', 'and', 'andreev', 'bound', 'states', 'in', 'superconducting', 'junctions', 'with', 'a', 'halfmetal', 'in', 'such', 'systems', 'the', 'supercurrent', 'is', 'caused', 'by', 'triplet', 'pairing', 'states', 'emerging', 'due', 'to', 'spinflip', 'scattering', 'at', 'the', 'interfaces', 'between', 'superconducting', 'electrodes', 'and', 'the', 'halfmetal', 'for', 'sufficiently', 'clean', 'metals', 'we', 'provide', 'a', 'detailed', 'nonperturbative', 'description', 'of', 'the', 'josephson', 'current', 'at', 'arbitrary', 'transmissions', 'and', 'spinflip', 'scattering', 'parameters', 'for', 'both', 'interfaces', 'our', 'analysis', 'demonstrates', 'that', 'the', 'behavior', 'of', 'both', 'the', 'josephson', 'current', 'and', 'andreev', 'bound', 'states', 'crucially', 'depends', 'on', 'the', 'strength', 'of', 'spinflip', 'scattering', 'showing', 'a', 'rich', 'variety', 'of', 'features', 'which', 'can', 'be', 'tested', 'in', 'future', 'experiments']] | [-0.2438846216714453, 0.1785911532983716, -0.05568397597720225, 0.0728427434129463, -0.040176670271016304, -0.19338975064456462, 0.11297990850372507, 0.3344120524468876, -0.2032097930132988, -0.28527947302819007, -0.055067335511557756, -0.31850921195887383, -0.12092267648716058, 0.22845563114221606, 0.0749408322342095, 0.007754140391591049, 0.01351083813323861, -0.06335918352290588, -0.08236253534532374, -0.1636035365496008, 0.3276744501266096, -0.012577142153999635, 0.37653935815961587, 0.17776431205372015, 0.010746422742626497, 0.02918585796197433, 0.11352890079059372, -0.007202319038056192, -0.10925817839320405, 0.03704748963549112, 0.31043622351828076, -0.08040788285877733, 0.11643990417498917, -0.5353593729259003, -0.1837978403017457, 0.014048754503684384, 0.16781872031057166, 0.19885311736780706, -0.036077780157904187, -0.34036729369933405, 0.029985598738061354, -0.16262987826374314, -0.0781456570939294, -0.08776921353613337, -0.006340814375185541, -0.006475298366110239, -0.27386194555798454, 0.03927289030093345, 0.056326507135028285, 0.06929206295421214, -0.027348933426574584, -0.06927345190197229, -0.042264736831809084, 0.050906138450262095, -0.003612911996121208, -0.013314848929821026, 0.1631502595464034, -0.173532577040827, -0.12265501920843408, 0.2605647893711215, -0.07021318013291983, -0.12871298012988908, 0.18714911210838528, -0.15238872078646507, -0.04645549717048804, 0.11796504814687761, 0.11243935224954926, 0.08297902346100836, -0.15418045142044623, 0.07616257302773495, -0.008096416471969514, 0.14843678153341724, 0.028282230300828815, 0.11942234603865516, 0.2823304327293521, 0.25673077033743974, 0.048651226011237926, 0.11380984579944717, -0.1349886806216091, -0.045118116286938036, -0.3179692954612186, -0.13608367017004638, -0.205894835701301, 0.09200648817655054, -0.026383573956055832, -0.2047382823191583, 0.4065253442419427, 0.16048879325833348, 0.20090168257731766, -0.03134481912323584, 0.29481577701157047, 0.16909840154528086, 0.04161682734931154, 0.030326035068858236, 0.2166931430457182, 0.17849207483453766, 0.07597738300849284, -0.34639701400218265, 0.11876299468179544, -0.025130085219141274] |
711.4956 | Charmless Hadronic B Decays at BABAR | We report recent measurements of branching fractions and charge asymmetries
of charmless hadronic B decays using the data collected with the BABAR detector
at the PEP-II asymmetric energy e+e- collider.
| hep-ex | we report recent measurements of branching fractions and charge asymmetries of charmless hadronic b decays using the data collected with the babar detector at the pepii asymmetric energy ee collider | [['we', 'report', 'recent', 'measurements', 'of', 'branching', 'fractions', 'and', 'charge', 'asymmetries', 'of', 'charmless', 'hadronic', 'b', 'decays', 'using', 'the', 'data', 'collected', 'with', 'the', 'babar', 'detector', 'at', 'the', 'pepii', 'asymmetric', 'energy', 'ee', 'collider']] | [-0.11209594628501994, 0.20249952838445703, -0.10669625268007318, -0.010230687167495488, -0.06499143665035566, -0.12882947617520887, 0.07717287945949163, 0.2607402176906665, -0.1465966691573461, -0.21912915936360758, -0.08062668046914041, -0.5407740230361621, 0.1484714443484942, 0.10850579220956812, 0.1979117985504369, 0.19706126659487685, 0.2358676576986909, -0.07140830059846243, -0.0700886314890037, -0.2028506763279438, 0.17439282598594824, 0.1503247082233429, 0.25633820417958003, 0.14639638705799976, 0.010166415389782439, 0.023127330055770775, -0.13550106349090735, -0.0697748214006424, -0.16521467350733776, 0.03532053012168035, 0.2634515398725246, 0.17192444903970075, -0.02389703292089204, -0.4260274876219531, 0.1335449820694824, 0.26999119979639846, 0.1123643131305774, 0.029548704841484627, -0.1382588864925007, -0.46309234760701656, 0.10653647320965925, -0.2641356851439923, 0.005433760490268469, -0.017145537988593182, 0.07827095712224642, -0.06481252598265806, -0.39554756494859855, 0.13356460065891346, -0.1964716259079675, 0.11204489367082715, -0.010404719583069285, -0.31961614986260733, -0.00936162529202799, -0.14061103221029042, 0.04020903358856837, 0.018334776970247428, 0.3122624063398689, -0.10348842653135458, -0.2911743111908436, 0.28498132042586805, -0.01911818985051165, -0.04214033894240856, 0.1655944778273503, -0.37675454119841256, -0.14007461043074726, 0.1844766231874625, 0.39081075191497805, 0.00662481893474857, -0.24269927047813933, 0.17320086490168857, -0.03147034477442503, 0.08796014493952195, 0.08271706060816844, 0.15079499122997125, 0.20256683410455784, 0.26920144067456325, -0.054629731954385835, 0.1061323373268048, -0.18649843807021776, 0.025022035092115404, -0.45883776925426595, -0.07192798756683866, -0.04030056782066822, 0.06870556104307374, 0.07983829945684799, -0.0028361313122635084, 0.37946800092856087, -0.026863298596193394, 0.42812961020196477, -0.02052468356365959, 0.3703784434745709, 0.03810805265093222, 0.021094323429861107, 0.07925590105345084, 0.3336798617073024, 0.1782212222615878, 0.2873602855950594, -0.37710385707517463, 0.04700332849364107, -0.06495952134331068] |
711.4957 | Equality statements for entropy change in open systems | The entropy change of a (non-equilibrium) Markovian ensemble is calculated
from (1) the ensemble phase density $p(t)$ evolved as iterative map, $p(t) =
\mathbb{M}(t) p(t- \Delta t)$ under detail balanced transition matrix
$\mathbb{M}(t)$, and (2) the invariant phase density $\pi(t) =
\mathbb{M}(t)^{\infty} \pi(t) $. A virtual measurement protocol is employed,
where variational entropy is zero, generating exact expressions for
irreversible entropy change in terms of the Jeffreys measure, $\mathcal{J}(t) =
\sum_{\Gamma} [p(t) - \pi(t)] \ln \bfrac{p(t)}{\pi(t)}$, and for reversible
entropy change in terms of the Kullbach-Leibler measure, $\mathcal{D}_{KL}(t) =
\sum_{\Gamma} \pi(0) \ln \bfrac{\pi(0)}{\pi(t)}$. Five properties of
$\mathcal{J}$ are discussed, and Clausius' theorem is derived.
| cond-mat.stat-mech cond-mat.soft | the entropy change of a nonequilibrium markovian ensemble is calculated from 1 the ensemble phase density pt evolved as iterative map pt mathbbmt pt delta t under detail balanced transition matrix mathbbmt and 2 the invariant phase density pit mathbbmtinfty pit a virtual measurement protocol is employed where variational entropy is zero generating exact expressions for irreversible entropy change in terms of the jeffreys measure mathcaljt sum_gamma pt pit ln bfracptpit and for reversible entropy change in terms of the kullbachleibler measure mathcald_klt sum_gamma pi0 ln bfracpi0pit five properties of mathcalj are discussed and clausius theorem is derived | [['the', 'entropy', 'change', 'of', 'a', 'nonequilibrium', 'markovian', 'ensemble', 'is', 'calculated', 'from', '1', 'the', 'ensemble', 'phase', 'density', 'pt', 'evolved', 'as', 'iterative', 'map', 'pt', 'mathbbmt', 'pt', 'delta', 't', 'under', 'detail', 'balanced', 'transition', 'matrix', 'mathbbmt', 'and', '2', 'the', 'invariant', 'phase', 'density', 'pit', 'mathbbmtinfty', 'pit', 'a', 'virtual', 'measurement', 'protocol', 'is', 'employed', 'where', 'variational', 'entropy', 'is', 'zero', 'generating', 'exact', 'expressions', 'for', 'irreversible', 'entropy', 'change', 'in', 'terms', 'of', 'the', 'jeffreys', 'measure', 'mathcaljt', 'sum_gamma', 'pt', 'pit', 'ln', 'bfracptpit', 'and', 'for', 'reversible', 'entropy', 'change', 'in', 'terms', 'of', 'the', 'kullbachleibler', 'measure', 'mathcald_klt', 'sum_gamma', 'pi0', 'ln', 'bfracpi0pit', 'five', 'properties', 'of', 'mathcalj', 'are', 'discussed', 'and', 'clausius', 'theorem', 'is', 'derived']] | [-0.11368736148592126, 0.2064894184239962, -0.10497902764865522, 0.08763935771153382, 0.051887837256922316, -0.17594301733031367, 0.06475617962606837, 0.328249131904894, -0.26214836759681115, -0.21916719986481614, 0.013706569821479615, -0.3276693978022491, -0.08836485102270426, 0.11468732975465193, -0.022814188586820043, 0.12922300354268904, -0.02341938201139231, 0.07942168053312834, -0.17346214146217268, -0.15454055905195602, 0.28248148537083956, 0.03517139823374788, 0.33078878408486256, 0.03839610112252844, 0.08968120191790414, 0.006902941978756297, 0.017942186000265096, 0.02765135356392502, -0.1789314229292481, 0.02283144361611581, 0.24493741742178296, 0.09663169692385565, 0.15984564399074638, -0.3309140686322464, -0.17188834009189788, 0.11504960551680055, 0.08166176371349629, 0.053091179621353575, -0.01323398332415002, -0.23752477641081374, 0.06075229383795784, -0.19843016819128495, -0.13030059207649378, -0.09829224578858342, 0.055630851678257244, -0.025503129996568633, -0.30569738961672516, 0.15337672014197523, 0.10955979522275791, 0.08636715869011169, 0.0072865951230770415, -0.1332905718198653, -0.04536682746263242, 0.05462215775937847, 0.014244858709195356, 0.06239251221995801, 0.230964340039351, -0.05173033564299177, -0.08735976081467077, 0.308364095498567, -0.08536292138519917, -0.17974543838311782, 0.06980628820837298, -0.12101011545386876, -0.1192040289490578, 0.14500476840067278, 0.07745280582588585, 0.13857661745395888, -0.18365287085932291, 0.12512643063464463, 0.03237053824933978, 0.13198074515061348, 0.12271496102088288, 0.02294617428266433, 0.09713035359131067, 0.10342491487187616, 0.044050165275478045, 0.18575606248184537, -0.04831903384935655, -0.1704045291466827, -0.32304615066962294, -0.24467503976762253, -0.23448524556614542, 0.09682230008870699, -0.13604272238003073, -0.16704416384899548, 0.33751216304771015, 0.07481876838157016, 0.18000677063422843, 0.05173773566614758, 0.24070999315374772, 0.20182344536009256, 0.0003354642461734206, 0.06415612283005809, 0.17792122737828936, 0.18147189268486552, 0.11657598633528425, -0.2535212194452878, 0.11852735034033154, 0.12308025579596085] |
711.4958 | Diffusion Monte Carlo calculations for the ground states of atoms and
ions in neutron star magnetic fields | The diffusion quantum Monte Carlo method is extended to solve the old
theoretical physics problem of many-electron atoms and ions in intense magnetic
fields. The feature of our approach is the use of adiabatic approximation wave
functions augmented by a Jastrow factor as guiding functions to initialize the
quantum Monte Carlo prodecure. We calcula te the ground state energies of atoms
and ions with nuclear charges from Z= 2, 3, 4, ..., 26 for magnetic field
strengths relevant for neutron stars.
| quant-ph | the diffusion quantum monte carlo method is extended to solve the old theoretical physics problem of manyelectron atoms and ions in intense magnetic fields the feature of our approach is the use of adiabatic approximation wave functions augmented by a jastrow factor as guiding functions to initialize the quantum monte carlo prodecure we calcula te the ground state energies of atoms and ions with nuclear charges from z 2 3 4 26 for magnetic field strengths relevant for neutron stars | [['the', 'diffusion', 'quantum', 'monte', 'carlo', 'method', 'is', 'extended', 'to', 'solve', 'the', 'old', 'theoretical', 'physics', 'problem', 'of', 'manyelectron', 'atoms', 'and', 'ions', 'in', 'intense', 'magnetic', 'fields', 'the', 'feature', 'of', 'our', 'approach', 'is', 'the', 'use', 'of', 'adiabatic', 'approximation', 'wave', 'functions', 'augmented', 'by', 'a', 'jastrow', 'factor', 'as', 'guiding', 'functions', 'to', 'initialize', 'the', 'quantum', 'monte', 'carlo', 'prodecure', 'we', 'calcula', 'te', 'the', 'ground', 'state', 'energies', 'of', 'atoms', 'and', 'ions', 'with', 'nuclear', 'charges', 'from', 'z', '2', '3', '4', '26', 'for', 'magnetic', 'field', 'strengths', 'relevant', 'for', 'neutron', 'stars']] | [-0.032694168088226755, 0.20729337490010488, -0.014740985947885091, 0.13097740195933258, 0.019303436992289143, -0.10977593083170396, 0.055769903732675916, 0.4057953434088562, -0.2396423987914584, -0.3348279596318173, -0.028785284256409336, -0.3059405915901843, -0.02877815627740531, 0.18480990902827227, 0.12728434215193685, 0.07802224349041906, 0.06811366816157405, -0.022950639688893208, -0.11664296035902409, -0.21265705947357502, 0.27900842556588445, 0.08695305316543937, 0.20115703796891235, 0.03126395839160379, 0.08552835143135884, 0.03889533607407084, 0.05621800377163329, -0.031463843251613874, -0.10191058103124835, 0.11960818071383983, 0.26525360111241475, 0.07440516663880288, 0.2628573718233199, -0.4730392668301923, -0.20643297447292489, 0.014776996655177467, 0.14997525562685501, 0.19354989027156483, -0.09015181341173151, -0.3025698688564987, -0.008039576590909987, -0.1811108293506918, -0.1605107787631075, -0.1016215303783081, -0.011871328546453409, 0.07181745283069867, -0.3019793069998062, 0.0867862698424584, -0.009112603138672494, 0.07376898156738357, -0.09334716741349312, -0.16178573800628132, 0.037609015617967596, 0.010754906389673677, 0.012736092324521912, 0.12344978521636958, 0.17360975249682234, -0.1431751684108867, -0.15268435840836808, 0.3611754022385406, -0.02548210322562181, -0.15307389849301758, 0.15769068152891308, -0.13480126503501325, -0.10315036397026497, 0.1871815173933872, 0.1346691784425344, 0.16116943183248933, -0.13999741500880145, 0.12583022546229436, 0.022875169050604213, 0.1580101946203769, -0.010106703219345854, 0.0013151711996503268, 0.16073567387235316, 0.11385927842104737, 0.014436052782060225, 0.11624775933620485, -0.1640416150470559, -0.14400404427624955, -0.2404209792531461, -0.18714053428855643, -0.2085862719937216, 0.09142156144588615, -0.0928564027148517, -0.1655847357491715, 0.3767657149052601, 0.18043442639298266, 0.08211057107376901, -0.06558071962215856, 0.26954418779173983, 0.11641059424492377, 0.034985813699055554, 0.07887826769618624, 0.24876780471988494, 0.24341379789505863, 0.06223032681295012, -0.2718058258171276, -0.023599500773781087, 0.10353805263868615] |
711.4959 | Affine actions on Nilpotent Lie groups | To any connected and simply connected nilpotent Lie group N, one can
associate its group of affine transformations Aff(N). In this paper, we study
simply transitive actions of a given nilpotent Lie group G on another nilpotent
Lie group N, via such affine transformations. We succeed in translating the
existence question of such a simply transitive affine action to a corresponding
question on the Lie algebra level. As an example of the possible use of this
translation, we then consider the case where dim(G)=dim(N) less than 6.
Finally, we specialize to the case of abelian simply transitive affine
actions on a given connected and simply connected nilpotent Lie group. It turns
out that such a simply transitive abelian affine action on N corresponds to a
particular Lie compatible bilinear product on the Lie algebra of N, which we
call an LR-structure.
| math.DG math.GR | to any connected and simply connected nilpotent lie group n one can associate its group of affine transformations affn in this paper we study simply transitive actions of a given nilpotent lie group g on another nilpotent lie group n via such affine transformations we succeed in translating the existence question of such a simply transitive affine action to a corresponding question on the lie algebra level as an example of the possible use of this translation we then consider the case where dimgdimn less than 6 finally we specialize to the case of abelian simply transitive affine actions on a given connected and simply connected nilpotent lie group it turns out that such a simply transitive abelian affine action on n corresponds to a particular lie compatible bilinear product on the lie algebra of n which we call an lrstructure | [['to', 'any', 'connected', 'and', 'simply', 'connected', 'nilpotent', 'lie', 'group', 'n', 'one', 'can', 'associate', 'its', 'group', 'of', 'affine', 'transformations', 'affn', 'in', 'this', 'paper', 'we', 'study', 'simply', 'transitive', 'actions', 'of', 'a', 'given', 'nilpotent', 'lie', 'group', 'g', 'on', 'another', 'nilpotent', 'lie', 'group', 'n', 'via', 'such', 'affine', 'transformations', 'we', 'succeed', 'in', 'translating', 'the', 'existence', 'question', 'of', 'such', 'a', 'simply', 'transitive', 'affine', 'action', 'to', 'a', 'corresponding', 'question', 'on', 'the', 'lie', 'algebra', 'level', 'as', 'an', 'example', 'of', 'the', 'possible', 'use', 'of', 'this', 'translation', 'we', 'then', 'consider', 'the', 'case', 'where', 'dimgdimn', 'less', 'than', '6', 'finally', 'we', 'specialize', 'to', 'the', 'case', 'of', 'abelian', 'simply', 'transitive', 'affine', 'actions', 'on', 'a', 'given', 'connected', 'and', 'simply', 'connected', 'nilpotent', 'lie', 'group', 'it', 'turns', 'out', 'that', 'such', 'a', 'simply', 'transitive', 'abelian', 'affine', 'action', 'on', 'n', 'corresponds', 'to', 'a', 'particular', 'lie', 'compatible', 'bilinear', 'product', 'on', 'the', 'lie', 'algebra', 'of', 'n', 'which', 'we', 'call', 'an', 'lrstructure']] | [-0.18949675922548131, 0.11601331302600947, -0.030053427682391234, 0.024226273794192822, -0.21236894333602063, -0.16212940174487553, 0.06116280350252055, 0.4038920304205801, -0.3201741690880486, -0.19306245795201643, 0.14642600569391756, -0.23277517506586654, -0.1738434359630836, 0.187798872284059, -0.16487123032067239, -0.1138112345947385, 0.01234912640481655, 0.2410170716266813, -0.12742068433809825, -0.2931426136704561, 0.424082104090069, -0.07104603827797941, 0.21168711635650003, -0.026157771786009625, 0.16842409308467593, 0.03734030897862145, -0.030690269684419035, 0.01857572321979595, -0.07478398432083071, 0.09168804762884974, 0.30872297982153085, 0.04033715401310474, 0.19156773850055678, -0.3647792431658932, -0.10541389447337549, 0.23740319648225391, 0.17415384011609214, -0.0016027345164080283, -0.019236490806464904, -0.2898256781145132, 0.07883658352906682, -0.2241212474182248, -0.1601326432411692, -0.015620717938457216, 0.06891659995807069, -0.0790189717114637, -0.1775104421856148, -0.02428490910679102, 0.12134385567956738, 0.10152800300690745, -0.039163592051149214, -0.0318742542165897, -0.08546913928751435, 0.10100462652792755, -0.08694895054629471, 0.05710600476450054, 0.15166163850974823, -0.02083518157513546, -0.1448605194787628, 0.4334549243828016, -0.03241469120766851, -0.27662865431214284, 0.14823899743912208, -0.13999166479999467, -0.224762220600886, 0.06079633271188608, 0.13511878141933786, 0.1753864823042282, -0.03924979080911726, 0.18348863641648286, -0.15554518245293625, 0.05351652613441859, 0.052159468669976505, -0.0768739463062957, 0.13052229444313396, 0.15344361693964206, 0.11243366191296705, 0.0902583341247269, 0.12165200909699446, 0.02296190857845691, -0.38980842445577896, -0.1450976355799607, -0.08028105345022465, 0.1810228674539498, -0.10890165828147604, -0.14172194862206067, 0.39090731721371413, 0.09366381186659314, 0.19346968797035516, 0.1273958978983241, 0.18100275377343808, 0.06874005300175798, 0.10808459705939251, 0.09864733208710927, 0.0768203844648919, 0.20974732752490258, -0.15552508728246073, -0.1755923425545916, -0.07037375693409038, 0.1854270861084972] |
711.496 | Coherent backscattering of light from saturated atoms | We survey recent progress achieved in understanding the impact of inelastic
processes on coherent backscattering of light from cold atoms that are
saturated by a powerful laser field.
| quant-ph | we survey recent progress achieved in understanding the impact of inelastic processes on coherent backscattering of light from cold atoms that are saturated by a powerful laser field | [['we', 'survey', 'recent', 'progress', 'achieved', 'in', 'understanding', 'the', 'impact', 'of', 'inelastic', 'processes', 'on', 'coherent', 'backscattering', 'of', 'light', 'from', 'cold', 'atoms', 'that', 'are', 'saturated', 'by', 'a', 'powerful', 'laser', 'field']] | [-0.09180661651771516, 0.22861624366071606, -0.07039335414966834, 0.03175972894366298, -0.029348417160300806, -0.07055340333109987, 0.08800793126491564, 0.44258518676672665, -0.24773982845778977, -0.2616312270318823, 0.02464995180240034, -0.28869793110061437, -0.09449689128502671, 0.2975880039489961, 0.016676592125025178, 0.06190949302565839, 0.08929602236353926, -0.08307899055736405, 0.04676928165801136, -0.23862594592251948, 0.3505979898285919, 0.0847344920039177, 0.3084696281169142, 0.09887918241188995, 0.08553888751027573, 0.071865118857074, -0.06763888935425452, -0.001092290468347658, -0.11088181432283559, 0.17149415339476295, 0.22983731242961117, 0.07862024107349239, 0.22908535147351877, -0.5415815322526863, -0.2893897789929594, 0.02797617236085768, 0.12938306938095984, 0.1598607019654342, -0.16303203682764433, -0.3168602285773626, -0.04743964531059776, -0.11957921180874109, -0.13138867926318198, -0.0779724083840847, 0.01424955711783176, 0.06775618194875019, -0.19520130244615888, 0.026678839631910835, 0.05675224163236895, 0.1101909610110202, -0.017719881725497544, -0.07573631262805845, 0.025775509229528586, 0.0026103727951911943, -0.003579481172242335, 0.07116685506688165, 0.19609757048809634, -0.2533898202236742, -0.10742089105769992, 0.3522655407765082, -0.158686032967775, 0.017307955098138855, 0.19709216191300324, -0.20284559918634062, -0.09588925603644124, 0.23159517165290058, 0.22203118267602154, 0.127476526823427, -0.13911139286522353, 0.054679382392870526, -0.07045815362861114, 0.1424080964310893, 0.08466674286007349, 0.11463187575489948, 0.2842135982022488, 0.25167045748925637, -0.017176677489520183, 0.09154009113886527, -0.09536029906511041, -0.06269559583493642, -0.2320904573758266, -0.060821604914963245, -0.13141793696974804, 0.11567880273131388, 0.05006207271279501, -0.01552628243475088, 0.31663235501452747, 0.15854070289060473, 0.17393766810086422, -0.10111373682905521, 0.3685838194297893, 0.07365580511811588, 0.026110812090337276, -0.02348836524678128, 0.3338926091258015, 0.21508898982678407, 0.0787171094977696, -0.24606799057385484, 0.04097247230570896, -0.036513026703947356] |
711.4961 | Bicartesian Coherence Revisited | A survey is given of results about coherence for categories with finite
products and coproducts. For these results, which were published previously by
the authors in several places, some formulations and proofs are here corrected,
and matters are updated. The categories investigated in this paper formalize
equality of proofs in classical and intuitionistic conjunctive-disjunctive
logic without distribution of conjunction over disjunction.
| math.CT math.LO | a survey is given of results about coherence for categories with finite products and coproducts for these results which were published previously by the authors in several places some formulations and proofs are here corrected and matters are updated the categories investigated in this paper formalize equality of proofs in classical and intuitionistic conjunctivedisjunctive logic without distribution of conjunction over disjunction | [['a', 'survey', 'is', 'given', 'of', 'results', 'about', 'coherence', 'for', 'categories', 'with', 'finite', 'products', 'and', 'coproducts', 'for', 'these', 'results', 'which', 'were', 'published', 'previously', 'by', 'the', 'authors', 'in', 'several', 'places', 'some', 'formulations', 'and', 'proofs', 'are', 'here', 'corrected', 'and', 'matters', 'are', 'updated', 'the', 'categories', 'investigated', 'in', 'this', 'paper', 'formalize', 'equality', 'of', 'proofs', 'in', 'classical', 'and', 'intuitionistic', 'conjunctivedisjunctive', 'logic', 'without', 'distribution', 'of', 'conjunction', 'over', 'disjunction']] | [-0.06927022849946904, 0.05413515001224975, -0.08567103391202788, 0.12566881232584518, -0.08416071785613895, -0.11707937746153524, 0.05233584770661158, 0.39747656403730314, -0.2517673677764833, -0.3217958706819142, 0.15740256334635586, -0.28668151899861793, -0.0443284522742033, 0.2151895071263425, -0.1680432325306659, 0.032273775059729816, 0.05243249627140661, 0.05611982756915192, -0.07544981644799312, -0.3184595141753865, 0.36059503750875593, -0.030794307496398686, 0.19258161364899326, 0.06317223715983952, 0.0645018316572532, 0.016850023328637085, -0.11465355274267494, 0.07117395643726923, -0.14701956439142425, 0.15064736764567593, 0.30620689677695434, 0.15229594112218667, 0.2440067055945595, -0.4410184275669356, -0.14020329853519797, 0.053680274076759814, 0.10547265422840914, 0.1000749490747694, 0.007536786918838819, -0.32798608258987466, 0.08745615486598884, -0.21855781075622266, -0.025708264818725488, -0.08414063492479423, 0.04832051439831654, 0.07688602357520721, -0.20042870718364914, 0.0160702772748967, 0.151726931737115, 0.15849343227843443, -0.11093490071749935, -0.1697675404449304, 0.04461928387948622, 0.07405280849585931, 0.019361296695812293, -0.03942952437791973, 0.062673776744244, -0.11138226535404101, -0.1974213155141721, 0.31034229857226214, 0.015552478795871138, -0.16547894805359345, 0.17080541061392676, -0.10947073898666228, -0.18329670982590565, 0.04521845986794991, 0.08258459904852013, 0.10275577573726574, -0.16458664749128124, 0.10200607290413852, -0.09600887092140814, 0.14244441936413446, 0.1551312859170139, 0.08943069030841191, 0.1356401572857673, 0.08760774896169703, -0.023316709534265102, 0.16114143858818958, 0.02759369428580006, -0.1322755646891892, -0.35618849092473587, -0.16726174340583383, -0.08709640110222001, -0.0023479426745325327, -0.04120428801882857, -0.10714791348048797, 0.3397510151999692, 0.15986475025905142, 0.11912696721653143, 0.14218865993316285, 0.2824759160168469, 0.07318558402669927, 0.07651573910067479, 0.008351704641245305, 0.2048574360034157, 0.19854783129412681, 0.0898526273900643, -0.050131691301551956, 0.10079705556078504, 0.10523978361937528] |
711.4962 | Five-dimensional black holes in heterotic string theory | We review recent results on near-horizon static black hole solutions and
entropy in R^2-corrected N=2 SUGRA in D=5, focusing on actions connected to
heterotic string compactified on K3\times S^1. Comparison with
\alpha'-perturbative results, results obtained by using simple Gauss-Bonnet
R^2-correction, OSV conjecture and microscopic stringy description (for small
black holes) shows that situation in D=5 is, in a sense, even more interesting
then in D=4.
| hep-th | we review recent results on nearhorizon static black hole solutions and entropy in r2corrected n2 sugra in d5 focusing on actions connected to heterotic string compactified on k3times s1 comparison with alphaperturbative results results obtained by using simple gaussbonnet r2correction osv conjecture and microscopic stringy description for small black holes shows that situation in d5 is in a sense even more interesting then in d4 | [['we', 'review', 'recent', 'results', 'on', 'nearhorizon', 'static', 'black', 'hole', 'solutions', 'and', 'entropy', 'in', 'r2corrected', 'n2', 'sugra', 'in', 'd5', 'focusing', 'on', 'actions', 'connected', 'to', 'heterotic', 'string', 'compactified', 'on', 'k3times', 's1', 'comparison', 'with', 'alphaperturbative', 'results', 'results', 'obtained', 'by', 'using', 'simple', 'gaussbonnet', 'r2correction', 'osv', 'conjecture', 'and', 'microscopic', 'stringy', 'description', 'for', 'small', 'black', 'holes', 'shows', 'that', 'situation', 'in', 'd5', 'is', 'in', 'a', 'sense', 'even', 'more', 'interesting', 'then', 'in', 'd4']] | [-0.13972723001461418, 0.09091509515565122, -0.009748366130224895, 0.14493901482819638, -0.07115833592251875, -0.25423111111012986, -0.011315618430671748, 0.2900826110235357, -0.02077786499285139, -0.23627668152039405, 0.10262664675065025, -0.34096149721517577, -0.1553458269845578, 0.2194233650188835, -0.16248891138093313, -0.017346157394058537, 0.008810957471723668, 0.04619203333277255, -0.09334635669074487, -0.3128106438089162, 0.3632386402459815, 0.004431656328961253, 0.2666872890549712, 0.0740335433074506, 0.04239120800048113, 0.01095611412620201, 0.03445821572677232, 0.07920113745785784, -0.2180803374764082, 0.12200184381799772, 0.24874141378313652, 0.08231467432051431, 0.04672659336938523, -0.4778752331476426, -0.2169058897306968, -0.0043492262993822806, 0.18130617122733383, 0.19671293199644424, -0.07979208026085871, -0.2643927100871224, 0.0973603998991166, -0.21359529910841957, -0.14176426742778858, -0.10659611631126609, 0.08792059617917403, -0.12625613893033005, -0.1821759153608582, 0.09769875414804119, 0.041011013730894774, -0.025412597315153107, -0.11962974564812612, -0.028207784322148655, -0.0698833513451973, 0.009456835228775162, 0.18984042921147193, 0.0648462218887289, 0.1227871733954089, -0.16812467355339322, -0.17104650027795287, 0.291569988905394, -0.09877256368054077, -0.21642855100799352, 0.15409175382228568, -0.20752556852676207, -0.2175134326244006, 0.08032668019950506, 0.07621936033683596, 0.2546253804175649, -0.07563577155815437, 0.23750822024703666, -0.04898757250884955, 0.17134026472922415, 0.14929091098019853, 0.05313155813928461, 0.30815319682005793, 0.14249541121535003, 0.01107885739475023, 0.14161578056155122, 0.023800831320841098, -0.13762829010101996, -0.36921061023895163, -0.0613351680804044, -0.11653947376544238, 0.21284533574362285, -0.21679252795684079, -0.12707645410409896, 0.27539249006076716, 0.06239042837478337, 0.18356766359647736, 0.04426148805941921, 0.15953862706675181, -0.013111811698763631, -0.01731965146609582, 0.08542061747721164, 0.26383907595300116, 0.12190758191354689, 0.10722223106859019, -0.20727698078553658, -0.18279272642212163, 0.24781145314773312] |
711.4963 | On a continuity theorem for constructive functions | One proves that any everywhere defined constructive mapping from a complete
metric space into a complete metric space which preserves the property of
precompacity of subsets is locally uniformly continuous. This fact can be
viewed as interpretation of L. E. J. Brower's fan theorem in terms of A. A.
Markov's constructive analysis.
| math.LO math.FA | one proves that any everywhere defined constructive mapping from a complete metric space into a complete metric space which preserves the property of precompacity of subsets is locally uniformly continuous this fact can be viewed as interpretation of l e j browers fan theorem in terms of a a markovs constructive analysis | [['one', 'proves', 'that', 'any', 'everywhere', 'defined', 'constructive', 'mapping', 'from', 'a', 'complete', 'metric', 'space', 'into', 'a', 'complete', 'metric', 'space', 'which', 'preserves', 'the', 'property', 'of', 'precompacity', 'of', 'subsets', 'is', 'locally', 'uniformly', 'continuous', 'this', 'fact', 'can', 'be', 'viewed', 'as', 'interpretation', 'of', 'l', 'e', 'j', 'browers', 'fan', 'theorem', 'in', 'terms', 'of', 'a', 'a', 'markovs', 'constructive', 'analysis']] | [-0.16132617347380696, 0.07446674095905002, -0.15499309701479824, 0.08586507228513558, -0.11791097588252787, -0.10026332484010388, 0.07322130832528952, 0.2867598489072977, -0.30193689790572603, -0.17904876420895258, 0.07414560323791104, -0.21141266358979777, -0.1432489062951622, 0.19526135932435007, -0.1454925751130955, -0.05022723030518083, 0.062244297361330074, 0.052919656083937366, -0.07099591557612168, -0.20586352200046473, 0.31874488688567104, -0.030054224629922972, 0.257365664785075, 0.028635100552848743, 0.14458744007838414, 0.07305885746381154, -0.06535415300259403, 0.11592186816315185, -0.0894699058201285, 0.10519556086236502, 0.28259079932582143, 0.19173958378971792, 0.2827393580593315, -0.2869121583872566, -0.21175900992353028, 0.18299252714496106, 0.1189037575660383, 0.006235832063134248, 0.03861003907799136, -0.3004703064467393, 0.11510840337723494, -0.10051976078573395, -0.16212546662884017, -0.0806752162455928, 0.05545430252438083, -0.021956882987390545, -0.29443313009744765, -0.016831599130276955, 0.2377820537955153, 0.06780117876170312, -0.041737747376364674, -0.03672947225106113, -0.08130924066747813, 0.07590840999767476, -0.06289120965954556, 0.17869619684586047, 0.062392466363734474, 0.01623290894534804, -0.13167726368342034, 0.3930386084259725, -0.08855628790607785, -0.26357578362027806, 0.1334122042171657, -0.14769503603890247, -0.11567816402142246, 0.1393723331903126, 0.08561399272259544, 0.15276707791011124, -0.12377612615990288, 0.219827216429015, -0.14033166441881537, 0.1180545471553855, 0.09466070667201397, 0.06475697064260934, 0.1651503265123157, 0.08312557904990207, 0.16992217864768178, 0.14211705051061205, 0.08597024144860459, -0.03742192250986894, -0.4154652315374537, -0.20978542597160912, -0.2132439933781165, 0.1427947389824754, -0.11282644634518553, -0.22799590116768492, 0.33608420465287625, -0.011271507666428007, 0.24057749971089995, 0.04943498321032772, 0.242348688526773, 0.09756885718054358, 0.011672326902329338, 0.09169309943236466, 0.15847100774921916, 0.1549586846365356, 0.01854110123845292, -0.06306488268241725, 0.030251699116300133, 0.1993126856236189] |
711.4964 | Indexing astronomical database tables using HTM and HEALPix | In various astronomical projects it is crucial to have coordinates indexed
tables. All sky optical and IR catalogues have up to 1 billion objects that
will increase with forthcoming projects. Also partial sky surveys at various
wavelengths can collect information (not just source lists) which can be saved
in coordinate ordered tables. Selecting a sub-set of these entries or
cross-matching them could be un-feasible if no indexing is performed. Sky
tessellation with various mapping functions have been proposed. It is a matter
of fact that the astronomical community is accepting the HTM and HEALPix schema
as the default for object catalogues and for maps visualization and analysis,
respectively. Within the MCS library project, we have now made available as
MySQL-callable functions various HTM and HEALPix facilities. This is made
possible thanks to the capability offered by MySQL 5.1 to add external
plug-ins. The DIF (Dynamic Indexing Facilities) package distributed within the
MCS library, creates and manages a combination of Views, Triggers, DB-engine
and plug-ins allowing the user to deal with database tables indexed using one
or both these pixelisation schema in a completely transparent way.
| astro-ph | in various astronomical projects it is crucial to have coordinates indexed tables all sky optical and ir catalogues have up to 1 billion objects that will increase with forthcoming projects also partial sky surveys at various wavelengths can collect information not just source lists which can be saved in coordinate ordered tables selecting a subset of these entries or crossmatching them could be unfeasible if no indexing is performed sky tessellation with various mapping functions have been proposed it is a matter of fact that the astronomical community is accepting the htm and healpix schema as the default for object catalogues and for maps visualization and analysis respectively within the mcs library project we have now made available as mysqlcallable functions various htm and healpix facilities this is made possible thanks to the capability offered by mysql 51 to add external plugins the dif dynamic indexing facilities package distributed within the mcs library creates and manages a combination of views triggers dbengine and plugins allowing the user to deal with database tables indexed using one or both these pixelisation schema in a completely transparent way | [['in', 'various', 'astronomical', 'projects', 'it', 'is', 'crucial', 'to', 'have', 'coordinates', 'indexed', 'tables', 'all', 'sky', 'optical', 'and', 'ir', 'catalogues', 'have', 'up', 'to', '1', 'billion', 'objects', 'that', 'will', 'increase', 'with', 'forthcoming', 'projects', 'also', 'partial', 'sky', 'surveys', 'at', 'various', 'wavelengths', 'can', 'collect', 'information', 'not', 'just', 'source', 'lists', 'which', 'can', 'be', 'saved', 'in', 'coordinate', 'ordered', 'tables', 'selecting', 'a', 'subset', 'of', 'these', 'entries', 'or', 'crossmatching', 'them', 'could', 'be', 'unfeasible', 'if', 'no', 'indexing', 'is', 'performed', 'sky', 'tessellation', 'with', 'various', 'mapping', 'functions', 'have', 'been', 'proposed', 'it', 'is', 'a', 'matter', 'of', 'fact', 'that', 'the', 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711.4965 | Lattice study of meson correlators in the epsilon-regime of two-flavor
QCD | We calculate mesonic two-point functions in the epsilon-regime of two-flavor
QCD on the lattice with exact chiral symmetry. We use gauge configurations of
size 16^3 32 at the lattice spacing a \sim 0.11 fm generated with dynamical
overlap fermions. The sea quark mass is fixed at \sim 3 MeV and the valence
quark mass is varied in the range 1-4 MeV, both of which are in the
epsilon-regime. We find a good consistency with the expectations from the
next-to-leading order calculation in the epsilon-expansion of (partially
quenched) chiral perturbation theory. From a fit we obtain the pion decay
constant F=87.3(5.6) MeV and the chiral condensate Sigma^{MS}=[239.8(4.0) MeV
]^3 up to next-to-next-to-leading order contributions.
| hep-lat | we calculate mesonic twopoint functions in the epsilonregime of twoflavor qcd on the lattice with exact chiral symmetry we use gauge configurations of size 163 32 at the lattice spacing a sim 011 fm generated with dynamical overlap fermions the sea quark mass is fixed at sim 3 mev and the valence quark mass is varied in the range 14 mev both of which are in the epsilonregime we find a good consistency with the expectations from the nexttoleading order calculation in the epsilonexpansion of partially quenched chiral perturbation theory from a fit we obtain the pion decay constant f87356 mev and the chiral condensate sigmams239840 mev 3 up to nexttonexttoleading order contributions | [['we', 'calculate', 'mesonic', 'twopoint', 'functions', 'in', 'the', 'epsilonregime', 'of', 'twoflavor', 'qcd', 'on', 'the', 'lattice', 'with', 'exact', 'chiral', 'symmetry', 'we', 'use', 'gauge', 'configurations', 'of', 'size', '163', '32', 'at', 'the', 'lattice', 'spacing', 'a', 'sim', '011', 'fm', 'generated', 'with', 'dynamical', 'overlap', 'fermions', 'the', 'sea', 'quark', 'mass', 'is', 'fixed', 'at', 'sim', '3', 'mev', 'and', 'the', 'valence', 'quark', 'mass', 'is', 'varied', 'in', 'the', 'range', '14', 'mev', 'both', 'of', 'which', 'are', 'in', 'the', 'epsilonregime', 'we', 'find', 'a', 'good', 'consistency', 'with', 'the', 'expectations', 'from', 'the', 'nexttoleading', 'order', 'calculation', 'in', 'the', 'epsilonexpansion', 'of', 'partially', 'quenched', 'chiral', 'perturbation', 'theory', 'from', 'a', 'fit', 'we', 'obtain', 'the', 'pion', 'decay', 'constant', 'f87356', 'mev', 'and', 'the', 'chiral', 'condensate', 'sigmams239840', 'mev', '3', 'up', 'to', 'nexttonexttoleading', 'order', 'contributions']] | [-0.08619132527225726, 0.30722771104643337, -0.049506609235797916, 0.09808154270547938, 0.01150398294185498, -0.028971158459925237, 0.10159819296598938, 0.3688630044527419, -0.12105429599162291, -0.28716115671344233, 0.004361109545890678, -0.36246577156120324, 0.011812143952812295, 0.012527343934519333, 0.1220052597607981, 0.09465938679630624, -0.0008184645022894885, 0.04070111029143739, -0.16784893178909616, -0.23814187518547517, 0.3012247920845979, -0.027750578155187337, 0.22566461376845837, 0.18721879629820987, 0.014873102374441989, -0.012306590795282039, 0.01156307093648089, -0.10676685319626117, -0.17845426514107096, 0.02879861076698043, 0.16949739984786222, -0.1004222170785405, 0.1284032630197167, -0.31047204798003575, -0.1228380367235356, 0.038947736202562984, 0.12657114924225318, 0.15154832843502328, 0.0011275898411383365, -0.28219082867013506, 0.1345255193090788, -0.23940522448570878, -0.23191958235950116, -0.10953360640754302, -0.060644244611565326, -0.06745299915069933, -0.34630919264646265, 0.13662442163908267, -0.09351970850797328, 0.07921523226609638, -0.018409279699496052, -0.2243628683961458, -0.05131331657747495, 0.08386934488625811, 0.10228268430371106, 0.14892389154615435, 0.11883691029291735, -0.16261106552472254, -0.11360322131548782, 0.45572582498373176, -0.0947570543482413, -0.12239104948585501, 0.09477748681145075, -0.20534392886769934, -0.12611432703262246, 0.1580455288760834, 0.15824130497168046, 0.06730650382578952, -0.13590082100819093, 0.13127698861628873, -0.0371549942253812, 0.24178478261560774, 0.12416026230716894, 0.009274447668209538, 0.23334154508051438, 0.15920807784716892, -0.012087061971862306, 0.05884850248778323, -0.08624900873070834, -0.13080531089390451, -0.36416517320374314, -0.007597112177602678, -0.17115994938019966, 0.10295976383552828, -0.16483035847635916, -0.14100579307456543, 0.40221282754194093, 0.1445449143060827, 0.23489950546105434, 0.0703340551998416, 0.24854270484600519, 0.12695288097670487, 0.10981966403359128, 0.08766849866757791, 0.25649721312613505, 0.20948393168011764, 0.09323794472341736, -0.2898146798792253, -0.16056114673060742, 0.10029567192048505] |
711.4966 | New formulations for dual equivalent actions | New actions in D=2 and D=3 are proposed that are dual equivalent to known
theories displaying well defined chirality and helicity, respectively, along
with a new interpolating action that maps continuously through the original
dualities. The new chiral action in D=2 is a second-order theory displaying the
chiral constraint dynamically while in D=3 the helicity constraint is imposed a
la Siegel. The resulting theories introduce new versions of the Hull noton to
take care of the symmetry aspects of the original models. The new interpolating
formulation is then re-examined as a condensed phase for the discussion of
duality under the light of the dual mechanisms -- Julia-Toulouse and Higgs --
establishing new interpolating actions in the dilute phase, according to these
mechanisms.
| hep-th | new actions in d2 and d3 are proposed that are dual equivalent to known theories displaying well defined chirality and helicity respectively along with a new interpolating action that maps continuously through the original dualities the new chiral action in d2 is a secondorder theory displaying the chiral constraint dynamically while in d3 the helicity constraint is imposed a la siegel the resulting theories introduce new versions of the hull noton to take care of the symmetry aspects of the original models the new interpolating formulation is then reexamined as a condensed phase for the discussion of duality under the light of the dual mechanisms juliatoulouse and higgs establishing new interpolating actions in the dilute phase according to these mechanisms | [['new', 'actions', 'in', 'd2', 'and', 'd3', 'are', 'proposed', 'that', 'are', 'dual', 'equivalent', 'to', 'known', 'theories', 'displaying', 'well', 'defined', 'chirality', 'and', 'helicity', 'respectively', 'along', 'with', 'a', 'new', 'interpolating', 'action', 'that', 'maps', 'continuously', 'through', 'the', 'original', 'dualities', 'the', 'new', 'chiral', 'action', 'in', 'd2', 'is', 'a', 'secondorder', 'theory', 'displaying', 'the', 'chiral', 'constraint', 'dynamically', 'while', 'in', 'd3', 'the', 'helicity', 'constraint', 'is', 'imposed', 'a', 'la', 'siegel', 'the', 'resulting', 'theories', 'introduce', 'new', 'versions', 'of', 'the', 'hull', 'noton', 'to', 'take', 'care', 'of', 'the', 'symmetry', 'aspects', 'of', 'the', 'original', 'models', 'the', 'new', 'interpolating', 'formulation', 'is', 'then', 'reexamined', 'as', 'a', 'condensed', 'phase', 'for', 'the', 'discussion', 'of', 'duality', 'under', 'the', 'light', 'of', 'the', 'dual', 'mechanisms', 'juliatoulouse', 'and', 'higgs', 'establishing', 'new', 'interpolating', 'actions', 'in', 'the', 'dilute', 'phase', 'according', 'to', 'these', 'mechanisms']] | [-0.12592630273028582, 0.18347598040601662, -0.09712643466279411, 0.0832214684767586, -0.0809124070493614, -0.1686547663485428, 0.027512225927980694, 0.3092309674952461, -0.24695436917480176, -0.24288202281708696, 0.08642805900479503, -0.22869266269673758, -0.1696325478010944, 0.10993616427725353, -0.07210509593308974, 0.03653069146118369, -0.05401622466429943, 0.031732399920549464, -0.12811791933603398, -0.2319588621426765, 0.3294238651194805, -0.01137285536358587, 0.30030708817937296, 0.05659213612988951, 0.09381981879597952, 0.0006437294826913281, -0.005463084151201388, 0.010165376390539356, -0.10573699015856451, 0.1227076814564712, 0.18040572739727312, 0.09324459501487367, 0.17361952389488702, -0.4295173714860898, -0.20274533288349875, 0.06435859520790488, 0.12390988459076904, 0.09588544810691677, -0.048118523971623736, -0.3085738457739353, 0.051853271670827344, -0.10608597611176915, -0.14572120426778346, -0.1048455377571097, -0.0037218984803419654, -0.03289221050344924, -0.28600052533624304, 0.028043065458817892, 0.05027636963122783, 0.0549515562852015, -0.0888057745398343, -0.08792177493050068, -0.07802623449903012, 0.10455147130023532, 0.09038110374582603, 0.08153471491150871, 0.07931763738366392, -0.18333630899296088, -0.14428319314400814, 0.40155446397907596, -0.0407100985249301, -0.20921792760060928, 0.18022317393142886, -0.09614520982502639, -0.17435106778118228, 0.08565221665067081, 0.11868189276829988, 0.14826743663953884, -0.1412776365852719, 0.13483255307098163, -0.05883552505783424, 0.10605488393549659, 0.05290165818452898, 0.054168355529893096, 0.24890449530437214, 0.1019109590106229, 0.04733687384296678, 0.17086286091503977, -0.02360610551975605, -0.18208972430844722, -0.3667190265098289, -0.14753184828343763, -0.09640492844794478, 0.0284390923363634, -0.10175975736882635, -0.12596099018784507, 0.38988204510929453, 0.12163782481910239, 0.18270892642454065, 0.055533411652030726, 0.24761284228821262, 0.11576133117201041, 0.09395280002495039, 0.026731899904259362, 0.2416615844743342, 0.15588085611640407, 0.07683262179856103, -0.21989226240289061, -0.037482854232980534, 0.19047653617947793] |
711.4967 | Equivalent Hamiltonian for Lee Model | Using the techniques of quasi-Hermitian quantum mechanics and quantum field
theory we use a similarity transformation to construct an equivalent Hermitian
Hamiltonian for the Lee model. In the field theory confined to the $V/N\theta$
sector it effectively decouples $V$, replacing the three-point interaction of
the original Lee model by an additional mass term for the $V$ particle and a
four-point interaction between $N$ and $\theta$. While the construction is
originally motivated by the regime where the bare coupling becomes imaginary,
leading to a ghost, it applies equally to the standard Hermitian regime where
the bare coupling is real. In that case the similarity transformation becomes a
unitary transformation.
| hep-th | using the techniques of quasihermitian quantum mechanics and quantum field theory we use a similarity transformation to construct an equivalent hermitian hamiltonian for the lee model in the field theory confined to the vntheta sector it effectively decouples v replacing the threepoint interaction of the original lee model by an additional mass term for the v particle and a fourpoint interaction between n and theta while the construction is originally motivated by the regime where the bare coupling becomes imaginary leading to a ghost it applies equally to the standard hermitian regime where the bare coupling is real in that case the similarity transformation becomes a unitary transformation | [['using', 'the', 'techniques', 'of', 'quasihermitian', 'quantum', 'mechanics', 'and', 'quantum', 'field', 'theory', 'we', 'use', 'a', 'similarity', 'transformation', 'to', 'construct', 'an', 'equivalent', 'hermitian', 'hamiltonian', 'for', 'the', 'lee', 'model', 'in', 'the', 'field', 'theory', 'confined', 'to', 'the', 'vntheta', 'sector', 'it', 'effectively', 'decouples', 'v', 'replacing', 'the', 'threepoint', 'interaction', 'of', 'the', 'original', 'lee', 'model', 'by', 'an', 'additional', 'mass', 'term', 'for', 'the', 'v', 'particle', 'and', 'a', 'fourpoint', 'interaction', 'between', 'n', 'and', 'theta', 'while', 'the', 'construction', 'is', 'originally', 'motivated', 'by', 'the', 'regime', 'where', 'the', 'bare', 'coupling', 'becomes', 'imaginary', 'leading', 'to', 'a', 'ghost', 'it', 'applies', 'equally', 'to', 'the', 'standard', 'hermitian', 'regime', 'where', 'the', 'bare', 'coupling', 'is', 'real', 'in', 'that', 'case', 'the', 'similarity', 'transformation', 'becomes', 'a', 'unitary', 'transformation']] | [-0.1251356204640921, 0.1694359768241335, -0.06487271899931898, 0.06227911518077218, -0.052963346582358684, -0.18643832232837923, -0.005762048790266163, 0.30819893203606114, -0.2777894558472054, -0.265049448084504, 0.022192616714164615, -0.29391456529428467, -0.19424418498061283, 0.12012975031148782, 0.017738550783909648, 0.02806114866702913, 0.0006096703305004913, 0.0654079845854055, -0.10777354014767596, -0.22818029643184393, 0.34770064497209874, 0.052122997387669213, 0.24783150331230364, 0.037431907143757166, 0.0875349459630028, 0.08310600664362172, 0.021375286279716223, -0.013317881387040436, -0.061455877104278536, 0.07735932329408476, 0.18224014270785222, 0.05408657465791591, 0.21864113229910068, -0.3786463799459912, -0.1981429250105219, 0.09657221178254374, 0.10773870140470773, 0.11183596284685779, -0.010550096954456226, -0.2839582910321688, -0.013560231566150611, -0.16478955449762744, -0.1454063838469648, -0.06363049706566, 0.05257948492566628, -0.10684686441411848, -0.3207387610329924, 0.06864696346628224, 0.041511738168023456, -0.003690583331110043, -0.011405690407780843, -0.046150097214381826, -0.006797821757113822, 0.10117273664571971, 0.03324567292551466, 0.09829244469335982, 0.11031878961110923, -0.15549824627771294, -0.05633609279528887, 0.402768099506464, -0.09471210159979343, -0.23078991056672324, 0.16678308200300018, -0.059311527715317, -0.07816767736085664, 0.08445704994270596, 0.07508453682378352, 0.09708244652567849, -0.13216376076582995, 0.23037846173893087, -0.031026591588177273, 0.15459518508863784, 0.07138734267345656, -0.0176299361155203, 0.17626161394840995, 0.08626882205488787, 0.03500033903727743, 0.14179628197469304, -0.017052877228707075, -0.1708763214361323, -0.32762930188850264, -0.15535727142662062, -0.20928106168023894, 0.06594269364097408, -0.09491750881879342, -0.18271140171493463, 0.3936340761170766, 0.13089066000968635, 0.19506370082114624, 0.05666131574103487, 0.2729654237279825, 0.15498871090615204, 0.09991283964737814, 0.038049634868087615, 0.26693285467150996, 0.20920954242992762, 0.06775328758277138, -0.25026191602391407, -0.05879716826689856, 0.11958037578788037] |
711.4968 | Meridional flow profile measurements with SOHO/MDI | We present meridional flow measurements of the Sun using a novel helioseismic
approach for analyzing SOHO/MDI data in order to push the current limits in
radial depth. Analyzing three consecutive months of data during solar minimum,
we find that the meridional flow is as expected poleward in the upper
convection zone, turns equatorward at a depth of around 40 Mm (~0.95 Rsol), and
possibly changes direction again in the lower convection zone. This may
indicate two meridional circulation cells in each hemisphere, one beneath the
other.
| astro-ph | we present meridional flow measurements of the sun using a novel helioseismic approach for analyzing sohomdi data in order to push the current limits in radial depth analyzing three consecutive months of data during solar minimum we find that the meridional flow is as expected poleward in the upper convection zone turns equatorward at a depth of around 40 mm 095 rsol and possibly changes direction again in the lower convection zone this may indicate two meridional circulation cells in each hemisphere one beneath the other | [['we', 'present', 'meridional', 'flow', 'measurements', 'of', 'the', 'sun', 'using', 'a', 'novel', 'helioseismic', 'approach', 'for', 'analyzing', 'sohomdi', 'data', 'in', 'order', 'to', 'push', 'the', 'current', 'limits', 'in', 'radial', 'depth', 'analyzing', 'three', 'consecutive', 'months', 'of', 'data', 'during', 'solar', 'minimum', 'we', 'find', 'that', 'the', 'meridional', 'flow', 'is', 'as', 'expected', 'poleward', 'in', 'the', 'upper', 'convection', 'zone', 'turns', 'equatorward', 'at', 'a', 'depth', 'of', 'around', '40', 'mm', '095', 'rsol', 'and', 'possibly', 'changes', 'direction', 'again', 'in', 'the', 'lower', 'convection', 'zone', 'this', 'may', 'indicate', 'two', 'meridional', 'circulation', 'cells', 'in', 'each', 'hemisphere', 'one', 'beneath', 'the', 'other']] | [-0.13601394869430466, 0.200140752461414, -0.029220322899142726, 0.04726963688965973, -0.05108670394347851, -0.031825703288547606, 0.0788744711642002, 0.3381664439532256, -0.2857766597813299, -0.3273337941161942, 0.12205771079454787, -0.3056886087193392, -0.11011843487273815, 0.24211505157595534, -0.09015973643291482, -0.013272787027364208, 0.11801315886293386, 0.001661931814322638, -0.02962753326946133, -0.16867343107844854, 0.199033250079252, 0.04492519907436745, 0.2261892411489646, 0.019686731206643028, 0.04660583778316978, -0.11289220833934324, -0.06442428955288473, 0.008881053995600966, -0.1462800008990852, 0.07014536694564306, 0.24057134122419885, 0.06871535896247816, 0.22482795335439054, -0.5065209755760639, -0.25453058271777146, 0.027062931138653913, 0.17455735300169434, 0.053277640395018075, 0.006728577893227339, -0.18329706723087055, 0.06491876434708058, -0.08699391821810845, -0.13012502739899034, 0.05226748913179997, 0.038610152328971685, -0.048283684598065396, -0.27706810895375217, 0.113959304051647, 0.03932536356042811, 0.20317583503763376, -0.12737936532493074, -0.13928575275011015, -0.1360956272597663, 0.14248986460192692, 0.10039168789300548, 0.08167457014733795, 0.16935691967888108, -0.11045224739097838, -0.022101923828771294, 0.33817556009324656, -0.14596314083237938, -0.0904309138179172, 0.12397040033626348, -0.2687109429280945, -0.08771864219222131, 0.18383029534286538, 0.19981141338601363, 0.09735757069185723, -0.11845198048950108, -0.06350402247098405, -0.08824142336379737, 0.11729574868412213, 0.13194086314937056, -0.10370769412906537, 0.2953237302514703, 0.1903881895962323, 0.17167856217210375, 0.07321788897794715, -0.33018106072707926, -0.08240180422530272, -0.2531781135733391, -0.11060341158177876, -0.059053206664704996, -0.01935107551439297, -0.13427850267248156, -0.09743260220234651, 0.41422141613005553, 0.1764488362661173, 0.2075553136596153, 0.02769340329863088, 0.3447166722820162, 0.07806904797799626, 0.10502869982359021, 0.19578004836884522, 0.33165301328394997, 0.14505903687068197, 0.22313753742897927, -0.22242797023432634, 0.05945336136988602, 0.08125177135171238] |
711.4969 | EeV neutrinos associated with UHECR sources | Electromagnetic energy losses of charged pions and muons suppress the
expected high energy, >1E18 eV, neutrino emission from sources of ultrahigh
energy, >1E19 eV, cosmic-rays. We show here that >1E19 eV photons produced in
such sources by neutral pion decay may escape the sources, thanks to the
Klein-Nishina suppression of the pair production cross section, and produce
muon pairs in interactions with the cosmic microwave background. The flux of
muon decay neutrinos, which are expected to be associated in time and direction
with the electromagnetic emission from the sources, may reach a few percent of
the Waxman-Bahcall bound. Their detection may allow one to directly identify
the sources of >1E19 eV cosmic-rays, and will provide the most stringent
constraints on quantum-gravity-induced Lorentz violation.
| hep-ph astro-ph astro-ph.HE | electromagnetic energy losses of charged pions and muons suppress the expected high energy 1e18 ev neutrino emission from sources of ultrahigh energy 1e19 ev cosmicrays we show here that 1e19 ev photons produced in such sources by neutral pion decay may escape the sources thanks to the kleinnishina suppression of the pair production cross section and produce muon pairs in interactions with the cosmic microwave background the flux of muon decay neutrinos which are expected to be associated in time and direction with the electromagnetic emission from the sources may reach a few percent of the waxmanbahcall bound their detection may allow one to directly identify the sources of 1e19 ev cosmicrays and will provide the most stringent constraints on quantumgravityinduced lorentz violation | [['electromagnetic', 'energy', 'losses', 'of', 'charged', 'pions', 'and', 'muons', 'suppress', 'the', 'expected', 'high', 'energy', '1e18', 'ev', 'neutrino', 'emission', 'from', 'sources', 'of', 'ultrahigh', 'energy', '1e19', 'ev', 'cosmicrays', 'we', 'show', 'here', 'that', '1e19', 'ev', 'photons', 'produced', 'in', 'such', 'sources', 'by', 'neutral', 'pion', 'decay', 'may', 'escape', 'the', 'sources', 'thanks', 'to', 'the', 'kleinnishina', 'suppression', 'of', 'the', 'pair', 'production', 'cross', 'section', 'and', 'produce', 'muon', 'pairs', 'in', 'interactions', 'with', 'the', 'cosmic', 'microwave', 'background', 'the', 'flux', 'of', 'muon', 'decay', 'neutrinos', 'which', 'are', 'expected', 'to', 'be', 'associated', 'in', 'time', 'and', 'direction', 'with', 'the', 'electromagnetic', 'emission', 'from', 'the', 'sources', 'may', 'reach', 'a', 'few', 'percent', 'of', 'the', 'waxmanbahcall', 'bound', 'their', 'detection', 'may', 'allow', 'one', 'to', 'directly', 'identify', 'the', 'sources', 'of', '1e19', 'ev', 'cosmicrays', 'and', 'will', 'provide', 'the', 'most', 'stringent', 'constraints', 'on', 'quantumgravityinduced', 'lorentz', 'violation']] | [-0.07561435898750778, 0.2944034329214232, 0.02187593447231892, 0.1658720456184895, -0.037874003192712745, -0.06681686840436565, 0.054728418664355585, 0.3566850000931843, -0.2046806267207125, -0.37957013828483055, -0.03684282309576354, -0.4021388030936563, 0.1093236904788187, 0.20630402528355277, 0.07979215544883192, -0.010798283787330658, 0.0660953323197801, -0.009527416952565782, -0.011320925224951007, -0.17634110558187452, 0.2541994101526897, 0.20545927915207254, 0.25345868822206113, 0.1796430915507026, 0.09170976191819684, -0.07181543751422892, -0.04107373856468036, -0.0922802187676534, -0.07313424868659898, 0.0748415637469843, 0.2167664201460718, 0.08219397737364459, 0.10766143346493079, -0.42088802534390274, -0.19820858734258548, 0.19034808084398994, 0.13953239626319305, 0.04923076226614506, -0.07390696047029148, -0.32533799919746514, 0.053633482994254286, -0.1537585897954196, -0.12468275970332628, 0.019462913231227577, -0.0784852019600131, 0.04080854828670106, -0.2533380382839113, 0.12861053020186056, -0.06341683847131208, -0.07386597609279935, -0.08278198812035768, -0.11982931035033208, -0.01154830723970644, 0.013792505150857738, 0.14932592063044325, 0.036560607714411934, 0.22352674609708895, -0.15072885042859044, -0.1479543583709898, 0.41101898574005297, -0.07362381450555522, -0.10234691304480278, 0.15506870587681973, -0.21041971898251555, -0.10695709002855408, 0.2909876565350507, 0.21052169232303655, 0.07212800356726033, -0.1975593314604546, 0.019552128395156528, 0.04182580057380161, 0.16905669213605787, 0.09354522927641505, 0.12912268804531069, 0.27349812351924374, 0.11808373453474141, 0.09161160933989577, 0.03450986085652669, -0.19950524188920749, 0.07532471394151206, -0.3484963550557935, -0.11593090473888139, -0.08934929161342012, 0.19215467678121767, -0.046737348836159515, -0.07752907518543516, 0.35758248601881104, 0.1358801322956986, 0.1809902737784101, -0.015097548731799594, 0.31536913714541986, 0.1215812340833065, 0.05329483090256288, 0.06528061773718857, 0.38315916795859006, 0.13122237901718212, 0.10455917136561943, -0.20347594567460986, 0.008284513725959734, -0.018039432520849434] |
711.497 | Scarring in open quantum systems | We study scarring phenomena in open quantum systems. We show numerical
evidence that individual resonance eigenstates of an open quantum system
present localization around unstable short periodic orbits in a similar way as
their closed counterparts. The structure of eigenfunctions around these
classical objects is not destroyed by the opening. This is exposed in a
paradigmatic system of quantum chaos, the cat map.
| quant-ph nlin.CD | we study scarring phenomena in open quantum systems we show numerical evidence that individual resonance eigenstates of an open quantum system present localization around unstable short periodic orbits in a similar way as their closed counterparts the structure of eigenfunctions around these classical objects is not destroyed by the opening this is exposed in a paradigmatic system of quantum chaos the cat map | [['we', 'study', 'scarring', 'phenomena', 'in', 'open', 'quantum', 'systems', 'we', 'show', 'numerical', 'evidence', 'that', 'individual', 'resonance', 'eigenstates', 'of', 'an', 'open', 'quantum', 'system', 'present', 'localization', 'around', 'unstable', 'short', 'periodic', 'orbits', 'in', 'a', 'similar', 'way', 'as', 'their', 'closed', 'counterparts', 'the', 'structure', 'of', 'eigenfunctions', 'around', 'these', 'classical', 'objects', 'is', 'not', 'destroyed', 'by', 'the', 'opening', 'this', 'is', 'exposed', 'in', 'a', 'paradigmatic', 'system', 'of', 'quantum', 'chaos', 'the', 'cat', 'map']] | [-0.2263685031720097, 0.15685001457140538, -0.08822978817163006, 0.11825033455591885, 0.04392331199986594, -0.1415721887338256, 0.03801041867007457, 0.36193100040748954, -0.28325933555052396, -0.2276176605669279, 0.08768073424682139, -0.27806941884022857, -0.20737196646615982, 0.2384741176806745, -0.05300883993151642, 0.07778927371911114, 0.12026943186564105, 0.03641553674935408, -0.043229313622716634, -0.16906769735930813, 0.31334894115016576, 0.024370422115593794, 0.18712628189666522, -0.0022497117475029967, 0.033960387421151005, -0.026032179815783388, 0.06785115185711119, -0.014672016517983543, -0.13457479108079237, 0.10044009444702949, 0.22039967657081663, 0.06331173198238488, 0.26543518959633294, -0.400483050014055, -0.1975305480217295, 0.056943258891503014, 0.21670132951204857, 0.16393838447356035, -0.09203151417092331, -0.3819926523322624, 0.0722435766808866, -0.1458486766583981, -0.22982438675142705, -0.07711929377050154, 0.06696592667509639, -0.013859950807980366, -0.11943508507702352, 0.10732317537010189, 0.12265695974836865, 0.13178876723857627, -0.09229769647150995, 0.01302025708488174, 0.030739823674103096, 0.14796667330203547, -0.05226584566047504, -0.014620022134973652, 0.13615502362390833, -0.1223851552044618, -0.16171231647095982, 0.37345172837376595, -0.056851966875708766, -0.18050286961379386, 0.24120947148000438, -0.1858956133577204, -0.10715173072521648, 0.13465851968124745, 0.13673314906006295, 0.11473321719538598, -0.14743721551753375, 0.09390901816299274, -0.07278221702971865, 0.15188485270170662, 0.043864680291523066, 0.08427221612590882, 0.28667944406587925, 0.13579133630449336, 0.07781125513452386, 0.17937297248355452, -0.03568483072347821, -0.17600168701675203, -0.2813986599859264, -0.16100020428735112, -0.15125854674815423, 0.12457738152639534, 0.0013825947285762855, -0.2158813027679802, 0.39365978646905175, 0.16100380289098543, 0.20088820681271571, -0.05178658839034301, 0.23237147868891794, 0.13045915517593837, 0.04154874626473184, 0.0900504763962494, 0.22291441933281483, 0.12139114498027734, 0.06080689842882936, -0.2287814404874567, -0.009119160303343383, 0.02058222217278348] |
711.4971 | Occurrence of exponential relaxation in closed quantum systems | We investigate the occurrence of exponential relaxation in a certain class of
closed, finite systems on the basis of a time-convolutionless (TCL) projection
operator expansion for a specific class of initial states with vanishing
inhomogeneity. It turns out that exponential behavior is to be expected only if
the leading order predicts the standard separation of timescales and if,
furthermore, all higher orders remain negligible for the full relaxation time.
The latter, however, is shown to depend not only on the perturbation
(interaction) strength, but also crucially on the structure of the perturbation
matrix. It is shown that perturbations yielding exponential relaxation have to
fulfill certain criteria, one of which relates to the so-called ``Van Hove
structure''. All our results are verified by the numerical integration of the
full time-dependent Schroedinger equation.
| cond-mat.stat-mech | we investigate the occurrence of exponential relaxation in a certain class of closed finite systems on the basis of a timeconvolutionless tcl projection operator expansion for a specific class of initial states with vanishing inhomogeneity it turns out that exponential behavior is to be expected only if the leading order predicts the standard separation of timescales and if furthermore all higher orders remain negligible for the full relaxation time the latter however is shown to depend not only on the perturbation interaction strength but also crucially on the structure of the perturbation matrix it is shown that perturbations yielding exponential relaxation have to fulfill certain criteria one of which relates to the socalled van hove structure all our results are verified by the numerical integration of the full timedependent schroedinger equation | [['we', 'investigate', 'the', 'occurrence', 'of', 'exponential', 'relaxation', 'in', 'a', 'certain', 'class', 'of', 'closed', 'finite', 'systems', 'on', 'the', 'basis', 'of', 'a', 'timeconvolutionless', 'tcl', 'projection', 'operator', 'expansion', 'for', 'a', 'specific', 'class', 'of', 'initial', 'states', 'with', 'vanishing', 'inhomogeneity', 'it', 'turns', 'out', 'that', 'exponential', 'behavior', 'is', 'to', 'be', 'expected', 'only', 'if', 'the', 'leading', 'order', 'predicts', 'the', 'standard', 'separation', 'of', 'timescales', 'and', 'if', 'furthermore', 'all', 'higher', 'orders', 'remain', 'negligible', 'for', 'the', 'full', 'relaxation', 'time', 'the', 'latter', 'however', 'is', 'shown', 'to', 'depend', 'not', 'only', 'on', 'the', 'perturbation', 'interaction', 'strength', 'but', 'also', 'crucially', 'on', 'the', 'structure', 'of', 'the', 'perturbation', 'matrix', 'it', 'is', 'shown', 'that', 'perturbations', 'yielding', 'exponential', 'relaxation', 'have', 'to', 'fulfill', 'certain', 'criteria', 'one', 'of', 'which', 'relates', 'to', 'the', 'socalled', 'van', 'hove', 'structure', 'all', 'our', 'results', 'are', 'verified', 'by', 'the', 'numerical', 'integration', 'of', 'the', 'full', 'timedependent', 'schroedinger', 'equation']] | [-0.13698982064548226, 0.11595316532331, -0.10563448665109072, 0.0796693301118043, -0.05850528026326694, -0.11027966605726885, 0.007223791457030154, 0.313225909740529, -0.2761293055333254, -0.24149842029935076, 0.12473240920843713, -0.2406731289846979, -0.14401357522490257, 0.1925464306410601, 0.030999132887040842, 0.052590648515704476, 0.0439629508911113, 0.06707117562040062, -0.11350936112029635, -0.2802225779706456, 0.34377754904073843, 0.041482320899598815, 0.27938264338584007, 0.07312995912009523, 0.09345024335464705, -0.007522609969956502, 0.019674728354368048, 0.03521456638926939, -0.1117543192685427, 0.05760366840684388, 0.1842026516326609, 0.049818075507282074, 0.2798341322185486, -0.41081264170014675, -0.21274661140530618, 0.09583158236892737, 0.12963646131688517, 0.12846456490410849, 0.01515185363850208, -0.24151536961306483, 0.10671121594567165, -0.1560366139996029, -0.14893081751545423, -0.11942911950181744, 0.04539105474579198, 0.04161955247800229, -0.27514805986087426, 0.10504614384662722, 0.09990611304848931, -0.022746983457015445, -0.07305361768977275, -0.0791741159623702, -0.029315420252694003, 0.09543105283083807, 0.04541465333122618, -0.003226291736630538, 0.11271811735226225, -0.09407045722775559, -0.054192902843773594, 0.3723213513531075, -0.06985266140096942, -0.21014494751757792, 0.17386960905251442, -0.1963945072080286, -0.10405185392467689, 0.1548514503075649, 0.09820686453484169, 0.12501099314638378, -0.13236556715022715, 0.11523840802709238, -0.0032783169441550743, 0.18461459728654558, 0.07674877057989477, 0.035608594248938655, 0.1377721246410133, 0.1259655260111255, 0.10662556647497251, 0.10224378977116652, -0.021670106199449143, -0.15791098675015205, -0.33374019351055606, -0.11489270995228858, -0.20241683361276927, 0.08418190207002232, -0.08384702798280819, -0.21950408859482348, 0.4132624689617571, 0.12678970589014996, 0.20118382147989655, 0.0655462218951505, 0.23001828985395378, 0.1989136786592897, 0.09747365875880457, 0.053415287549754976, 0.259399495108892, 0.13628880639972862, 0.03822671965418654, -0.2845078617163742, 0.10118061319732939, 0.08196404586254641] |
711.4972 | Existence of Asymptotic Expansions in Noncommutative Quantum Field
Theories | Starting from the complete Mellin representation of Feynman amplitudes for
noncommutative vulcanized scalar quantum field theory, introduced in a previous
publication, we generalize to this theory the study of asymptotic behaviours
under scaling of arbitrary subsets of external invariants of any Feynman
amplitude. This is accomplished for both convergent and renormalized
amplitudes.
| hep-th math-ph math.MP | starting from the complete mellin representation of feynman amplitudes for noncommutative vulcanized scalar quantum field theory introduced in a previous publication we generalize to this theory the study of asymptotic behaviours under scaling of arbitrary subsets of external invariants of any feynman amplitude this is accomplished for both convergent and renormalized amplitudes | [['starting', 'from', 'the', 'complete', 'mellin', 'representation', 'of', 'feynman', 'amplitudes', 'for', 'noncommutative', 'vulcanized', 'scalar', 'quantum', 'field', 'theory', 'introduced', 'in', 'a', 'previous', 'publication', 'we', 'generalize', 'to', 'this', 'theory', 'the', 'study', 'of', 'asymptotic', 'behaviours', 'under', 'scaling', 'of', 'arbitrary', 'subsets', 'of', 'external', 'invariants', 'of', 'any', 'feynman', 'amplitude', 'this', 'is', 'accomplished', 'for', 'both', 'convergent', 'and', 'renormalized', 'amplitudes']] | [-0.18759329738811806, 0.20750902064789373, -0.16719611592662448, 0.08587734623982285, -0.08300642529502511, -0.07034691656903866, 0.05458497176508759, 0.2889603936256698, -0.19218532329138655, -0.23101995125986063, -0.016620612669682417, -0.2238361300327457, -0.18397231388371438, 0.18455999865769768, -0.06844007220262519, 0.07168087413391241, 0.03119500917203438, 0.07067211033203281, -0.10543339697715755, -0.24465014986120737, 0.3459623488955773, -0.02440810679287936, 0.2621568422495889, 0.013296868946501771, 0.08983856195118278, 0.12111367978370534, -0.10175299854017794, 0.022411178081081465, -0.1401741449864438, 0.1249886189873975, 0.26572669864981435, 0.0662569016791307, 0.16731454750809532, -0.4068184973170551, -0.19468833051192072, 0.08293650734524888, 0.15583260112907737, 0.1259580576666989, 0.0638555696216197, -0.2980827111929942, 0.07693482719612522, -0.17244955553458288, -0.21465233652494276, -0.13126829288432, 0.05016107104333619, -0.04319985265073438, -0.27883531919752175, 0.031160771703490846, 0.032259763325922765, 0.11839397908904804, -0.044105647006430306, -0.06675560725852847, 0.04325261556256849, 0.10510918221328981, 0.04962252110439854, 0.08068281621224462, 0.07132437364019167, -0.16413011327565002, -0.1608706284157681, 0.29190757726498234, -0.06005780465112856, -0.22160411405806932, 0.0715598425326439, -0.16241657024679276, -0.17870569586431465, 0.10449043077488358, 0.10510553745552897, 0.17337907650149786, -0.16244778407809252, 0.2241729373065307, 0.025301207824108694, 0.07541101024701045, 0.16480567098523563, 0.05139144527940796, 0.1468327022694911, 0.036857808993842736, -0.02978711621835828, 0.17939960323453236, 0.048089999078701325, -0.16133901858344102, -0.40020083002029705, -0.1180254272901668, -0.14212387382912522, 0.12390712829521643, -0.1608091518727843, -0.23133150989619586, 0.3935134816610326, 0.1482390684989066, 0.1316744563742899, 0.12169078853912652, 0.26436762051889673, 0.1856076806747856, 0.05663643844533139, 0.02015795566750547, 0.17533992462827322, 0.22673476052183944, 0.09316850879874367, -0.1933680558263754, -0.043112840589646324, 0.1690788967266249] |
711.4973 | Energy absorption of xenon clusters in helium nanodroplets under strong
laser pulses | Energy absorption of xenon clusters embedded in helium nanodroplets from
strong femtosecond laser pulses is studied theoretically. Compared to pure
clusters we find earlier and more efficient energy absorption in agreement with
experiments. This effect is due to resonant absorption of the helium nanoplasma
whose formation is catalyzed by the xenon core. For very short double pulses
with variable delay both plasma resonances, due to the helium shell and the
xenon core, are identified and the experimental conditions are given which
should allow for a simultaneous observation of both of them.
| physics.atm-clus | energy absorption of xenon clusters embedded in helium nanodroplets from strong femtosecond laser pulses is studied theoretically compared to pure clusters we find earlier and more efficient energy absorption in agreement with experiments this effect is due to resonant absorption of the helium nanoplasma whose formation is catalyzed by the xenon core for very short double pulses with variable delay both plasma resonances due to the helium shell and the xenon core are identified and the experimental conditions are given which should allow for a simultaneous observation of both of them | [['energy', 'absorption', 'of', 'xenon', 'clusters', 'embedded', 'in', 'helium', 'nanodroplets', 'from', 'strong', 'femtosecond', 'laser', 'pulses', 'is', 'studied', 'theoretically', 'compared', 'to', 'pure', 'clusters', 'we', 'find', 'earlier', 'and', 'more', 'efficient', 'energy', 'absorption', 'in', 'agreement', 'with', 'experiments', 'this', 'effect', 'is', 'due', 'to', 'resonant', 'absorption', 'of', 'the', 'helium', 'nanoplasma', 'whose', 'formation', 'is', 'catalyzed', 'by', 'the', 'xenon', 'core', 'for', 'very', 'short', 'double', 'pulses', 'with', 'variable', 'delay', 'both', 'plasma', 'resonances', 'due', 'to', 'the', 'helium', 'shell', 'and', 'the', 'xenon', 'core', 'are', 'identified', 'and', 'the', 'experimental', 'conditions', 'are', 'given', 'which', 'should', 'allow', 'for', 'a', 'simultaneous', 'observation', 'of', 'both', 'of', 'them']] | [-0.05649560836404767, 0.20525878022046207, -0.05025782652076457, 0.04830760626214464, 0.01157104045633677, -0.1327500932563383, 0.05160956173382986, 0.48198863131168124, -0.19857814058579587, -0.3370222262014727, 0.03109064688240843, -0.2947826605331112, 0.0013906572341591448, 0.18924767865318354, 0.03254506086091419, 0.03049012585696611, 0.09046430836667071, -0.027447838553708498, -0.005186686701663248, -0.20199295251814464, 0.2777597591227207, 0.11838215772717536, 0.235968461014576, 0.08570481406954619, 0.03575643604866915, -0.05974906788381574, -0.013170736944200574, -0.027762976815350927, -0.10902569211867848, 0.0841930370718998, 0.26941696339501786, 0.019455392564810648, 0.20011572525734184, -0.4966661447152536, -0.25004058111213395, 0.0579877891373094, 0.12897520922738445, 0.1352181571451333, -0.12991821539033702, -0.2906299867452337, 0.028982661644017305, -0.15416470096333995, -0.12302710929025824, -0.007323641514221391, 0.04118382942525076, 0.08271108891119014, -0.2497311541912975, 0.07617895414919726, 0.003982518410379231, -0.024499967254207028, -0.09059510953151263, -0.07738093452548588, -0.0038762367893378814, -0.00030541750039536874, 0.001892626022019393, -0.025433795122368322, 0.1890260608416501, -0.12213870757361772, -0.03383247545091333, 0.4030508655443235, -0.111413511122669, -0.02367750882774919, 0.22837003460665653, -0.1709677614501913, -0.06288322405684944, 0.24676054392705907, 0.09361907858196851, 0.1410850001765149, -0.12480881775391627, -0.005765774012875876, -0.0004232232407717914, 0.2248333414791377, 0.1457232787852063, 0.05380630113399053, 0.2388668993262799, 0.21735889326453536, -0.000911198177753569, 0.11566018808510277, -0.15786624280000258, -0.05222682487014886, -0.23879972172921504, -0.11192277106929796, -0.11168684022101973, 0.01858637957823473, -0.0036275945343192317, -0.13138654912504685, 0.325701519841799, 0.049781250716238234, 0.16411656142560418, -0.04639642871788365, 0.2982881650697071, 0.12046296680653161, 0.029216576106641648, 0.0032743568695917887, 0.30071010889874383, 0.21292795831654834, 0.09869087147679957, -0.29029241759217456, 0.07027988234064081, -0.040565877308516386] |
711.4974 | Polarimetry of the dwarf planet (136199) Eris | We investigate the surface characteristics of the large dwarf planet (136199)
Eris. With the FORS1 instrument of the ESO VLT, we have obtained Bessell
broadband R linear polarimetry and broadband V and I photometry. We have
modelled the observations in terms of the coherent-backscattering mechanism to
constrain the surface properties of the object. Polarimetric observations of
Eris show a small negative linear polarization without opposition surge in the
phase angle range of 0.15-0.5 degrees. The photometric data allow us to suppose
a brightness opposition peak at phase angles below 0.2-0.3 degrees. The data
obtained suggest possible similarity to the polarimetric and photometric phase
curves of Pluto. The measured absolute magnitude and broadband colors of Eris
are H_V=-1.15, V-R=0.41, and V-I=0.75.
| astro-ph | we investigate the surface characteristics of the large dwarf planet 136199 eris with the fors1 instrument of the eso vlt we have obtained bessell broadband r linear polarimetry and broadband v and i photometry we have modelled the observations in terms of the coherentbackscattering mechanism to constrain the surface properties of the object polarimetric observations of eris show a small negative linear polarization without opposition surge in the phase angle range of 01505 degrees the photometric data allow us to suppose a brightness opposition peak at phase angles below 0203 degrees the data obtained suggest possible similarity to the polarimetric and photometric phase curves of pluto the measured absolute magnitude and broadband colors of eris are h_v115 vr041 and vi075 | [['we', 'investigate', 'the', 'surface', 'characteristics', 'of', 'the', 'large', 'dwarf', 'planet', '136199', 'eris', 'with', 'the', 'fors1', 'instrument', 'of', 'the', 'eso', 'vlt', 'we', 'have', 'obtained', 'bessell', 'broadband', 'r', 'linear', 'polarimetry', 'and', 'broadband', 'v', 'and', 'i', 'photometry', 'we', 'have', 'modelled', 'the', 'observations', 'in', 'terms', 'of', 'the', 'coherentbackscattering', 'mechanism', 'to', 'constrain', 'the', 'surface', 'properties', 'of', 'the', 'object', 'polarimetric', 'observations', 'of', 'eris', 'show', 'a', 'small', 'negative', 'linear', 'polarization', 'without', 'opposition', 'surge', 'in', 'the', 'phase', 'angle', 'range', 'of', '01505', 'degrees', 'the', 'photometric', 'data', 'allow', 'us', 'to', 'suppose', 'a', 'brightness', 'opposition', 'peak', 'at', 'phase', 'angles', 'below', '0203', 'degrees', 'the', 'data', 'obtained', 'suggest', 'possible', 'similarity', 'to', 'the', 'polarimetric', 'and', 'photometric', 'phase', 'curves', 'of', 'pluto', 'the', 'measured', 'absolute', 'magnitude', 'and', 'broadband', 'colors', 'of', 'eris', 'are', 'h_v115', 'vr041', 'and', 'vi075']] | [-0.10456118781464817, 0.09290910466395495, -0.13125906745373303, 0.009579972360997686, -0.11769708196215074, -0.11177264847632112, 0.03600443475317724, 0.4374789100316963, -0.21595222160926666, -0.36642879999146377, 0.0973991066125093, -0.3182441983693119, -0.068543620178765, 0.1788683955814561, -0.08527085755486041, 0.027723110268888032, 0.1064691621436866, -0.11207237118124512, -0.06953959140559289, -0.2494038001750596, 0.22079017467732573, 0.05410018664431469, 0.14826637205009446, -0.029297842114264595, 0.11944238334725579, -0.022743817980818707, -0.11676766644713693, -0.0023609793680752144, -0.18840374833435536, 0.02844504613814683, 0.23092842705804725, 0.06647004263379194, 0.14994420291823818, -0.3373844251919795, -0.1868527509153676, 0.05366612614357266, 0.05383658189234195, 0.009638494191990346, 0.001100385059795246, -0.2789584127864961, 0.03152962573347332, -0.14710060972519667, -0.21019123314783492, 0.023701948547286206, 0.04659844792431927, 0.01354475963282688, -0.24657440801343783, 0.0435165678439983, -0.014561719670570615, 0.19231440600184402, -0.1193767793793713, -0.14654276142667594, -0.1029707876371284, 0.09709498107208517, -0.005902750104473069, 0.03017765189649473, 0.07822360030519937, -0.13058672088864742, -0.009519403370835915, 0.37333930277361954, -0.12754637260463667, 0.013830457075402654, 0.16554283427279282, -0.2854410090226808, -0.0872415962612963, 0.13869576146705717, 0.18865266040465312, 0.10995377942213211, -0.12154656625754232, 0.03151357441825455, -0.018154594190177863, 0.21729603258828664, 0.052785576373370814, 0.12315072712954134, 0.2973184971588439, 0.08066374264107536, 0.0164974786798823, 0.08866077652682774, -0.31689125656728345, 0.012973914283693062, -0.24248361198135235, -0.09908129359145873, -0.15820676356489802, 0.03493054201505307, -0.15529725281458953, -0.09070784004770444, 0.4063825957268348, 0.1347086315388502, 0.2018458330420454, 0.043151763436416614, 0.29657826705881923, 0.05483374123236742, 0.10598693555622393, 0.04511513544551643, 0.3704511763624333, 0.14805456041759843, 0.13153552921119563, -0.25091448334318683, 0.04720609474541812, -0.012096719928728095] |
711.4975 | Resolving the ionized wind of the post-Red Supergiant IRC +10 420 with
VLTI/AMBER | The paper investigates the milli-arcsecond scale structure of the present-day
mass-loss of the post-Red Supergiant IRC+10420. We use three telescopes of the
VLT Interferometer in combination with the AMBER near-infrared beam combiner to
measure spectrally dispersed correlated fluxes in the K-band around the Br
gamma transition. The resulting visibilities are compared to the predicted
visibilities of emission structures with various simple models in order to
infer the size of the observed emission region. The Br gamma line is resolved
by VLTI+AMBER on all three baselines, with the maximum projected baseline
extending 69 meter and a P.A. ranging between 10 and 30 degrees. A differential
phase between line and continuum is detected on the longest baseline. The Br
gamma emission region is found to have a diameter of 3.3 milli-arcseconds
(FWHM), when compared to a Gaussian intensity distribution. A uniform disk and
a ring-like intensity distribution do not fit the line visibilities. Comparing
the AMBER equivalent width of Br gamma with measurements from various epochs,
we find that the stellar photosphere contributes about 60% of the total
continuum light at 2.2 micron. The remaining 40% continuum emission is found on
scales larger than the 66mas AMBER field of view. Using simple arguments, and
assuming optically thick line emission, we find that the line emitting region
is elongated. We briefly discuss the possibilities whether such a structure is
due to a bi-polar flow or a circumstellar disk. (Abridged).
| astro-ph | the paper investigates the milliarcsecond scale structure of the presentday massloss of the postred supergiant irc10420 we use three telescopes of the vlt interferometer in combination with the amber nearinfrared beam combiner to measure spectrally dispersed correlated fluxes in the kband around the br gamma transition the resulting visibilities are compared to the predicted visibilities of emission structures with various simple models in order to infer the size of the observed emission region the br gamma line is resolved by vltiamber on all three baselines with the maximum projected baseline extending 69 meter and a pa ranging between 10 and 30 degrees a differential phase between line and continuum is detected on the longest baseline the br gamma emission region is found to have a diameter of 33 milliarcseconds fwhm when compared to a gaussian intensity distribution a uniform disk and a ringlike intensity distribution do not fit the line visibilities comparing the amber equivalent width of br gamma with measurements from various epochs we find that the stellar photosphere contributes about 60 of the total continuum light at 22 micron the remaining 40 continuum emission is found on scales larger than the 66mas amber field of view using simple arguments and assuming optically thick line emission we find that the line emitting region is elongated we briefly discuss the possibilities whether such a structure is due to a bipolar flow or a circumstellar disk abridged | [['the', 'paper', 'investigates', 'the', 'milliarcsecond', 'scale', 'structure', 'of', 'the', 'presentday', 'massloss', 'of', 'the', 'postred', 'supergiant', 'irc10420', 'we', 'use', 'three', 'telescopes', 'of', 'the', 'vlt', 'interferometer', 'in', 'combination', 'with', 'the', 'amber', 'nearinfrared', 'beam', 'combiner', 'to', 'measure', 'spectrally', 'dispersed', 'correlated', 'fluxes', 'in', 'the', 'kband', 'around', 'the', 'br', 'gamma', 'transition', 'the', 'resulting', 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711.4976 | Shapes of Semiflexible Polymers in Confined Spaces | We investigate the conformations of a semiflexible polymer confined to a
square box. Results of Monte Carlo simulations show the existence of a shape
transition when the persistence length of the polymer becomes comparable to the
dimensions of box. An order parameter is introduced to quantify this behavior.
A simple mean-field model is constructed to study the effect of the shape
transition on the effective persistence length of the polymer.
| cond-mat.soft astro-ph physics.bio-ph | we investigate the conformations of a semiflexible polymer confined to a square box results of monte carlo simulations show the existence of a shape transition when the persistence length of the polymer becomes comparable to the dimensions of box an order parameter is introduced to quantify this behavior a simple meanfield model is constructed to study the effect of the shape transition on the effective persistence length of the polymer | [['we', 'investigate', 'the', 'conformations', 'of', 'a', 'semiflexible', 'polymer', 'confined', 'to', 'a', 'square', 'box', 'results', 'of', 'monte', 'carlo', 'simulations', 'show', 'the', 'existence', 'of', 'a', 'shape', 'transition', 'when', 'the', 'persistence', 'length', 'of', 'the', 'polymer', 'becomes', 'comparable', 'to', 'the', 'dimensions', 'of', 'box', 'an', 'order', 'parameter', 'is', 'introduced', 'to', 'quantify', 'this', 'behavior', 'a', 'simple', 'meanfield', 'model', 'is', 'constructed', 'to', 'study', 'the', 'effect', 'of', 'the', 'shape', 'transition', 'on', 'the', 'effective', 'persistence', 'length', 'of', 'the', 'polymer']] | [-0.1328535090067557, 0.16721929446981187, -0.07821600165750299, 0.07648904385610616, -0.002601522020995617, -0.09619915590488486, -0.01268901726497071, 0.36837099487228053, -0.27259780615568163, -0.23379747093256031, 0.0566571351939014, -0.2630195993397917, -0.140112017840147, 0.11205450477012034, 0.0201331796922854, 0.03995586960975613, 0.029454177338629962, 0.038758065910743815, -0.08104997985064984, -0.19364029389939139, 0.23969431802896515, 0.11125031885291849, 0.2700268041608589, 0.06692691647913307, 0.09780664176547102, 0.022899947495066693, 0.056614812796137164, 0.09747359821838993, -0.30753886798130614, 0.10741374233205403, 0.13292483489162155, -0.02373244478367269, 0.2606712913672839, -0.40784530016992776, -0.23234632212136472, 0.1131939145270735, 0.15319154274516872, 0.16140150318720511, 0.013298811354408307, -0.2548380044954164, 0.09741617077961565, -0.16427395124254482, -0.17676815841613072, -0.029770173824259213, 0.025787304528057574, 0.032123761138479624, -0.2512834240283285, 0.06605836585222277, 0.03857059561248336, 0.06132899161893875, -0.004045777009533984, -0.04169317048841289, -0.005602870149804013, 0.1387782936986436, 0.06549273910599628, 0.010956164479388722, 0.1750831652233111, -0.1636970131932425, -0.10383070060051977, 0.3610587331333331, -0.01843547372845933, -0.21293070036917924, 0.1971834860342954, -0.13531092197767325, -0.05838444111868739, 0.17968280693250044, 0.1492967687680253, 0.12274297845017697, -0.10893088890277015, 0.06689335195613759, -0.044155052809843, 0.24632302776777318, -0.005824970227799245, -0.05046226286462375, 0.17035010720470123, 0.2551110496844298, 0.021688277088105678, 0.264125898364, -0.13032872637933388, -0.19750956426640706, -0.2596041654236615, -0.17077878176101616, -0.21447858445213308, 0.05483598280698061, -0.1354094463533589, -0.28393860762007533, 0.39515557028353215, 0.1623062546231917, 0.22567573757842183, 0.13071210840716957, 0.23190695484102306, 0.07345485417837543, 0.041638675491724696, -0.022930614723424825, 0.20848841479580318, 0.1408779659607847, 0.029565487249887414, -0.28823522548939634, 0.06243338794447482, 0.12950423494247454] |
711.4977 | Study of errors in strong gravitational lensing | We examine the accuracy of strong gravitational lensing determinations of the
mass of galaxy clusters by comparing the conventional approach with the
numerical integration of the fully relativistic null geodesic equations in the
case of weak gravitational perturbations on Robertson-Walker metrics. In
particular, we study spherically-symmetric, three-dimensional singular
isothermal sphere models and the three-dimensional matter distribution of
Navarro et al. (1997), which are both commonly used in gravitational lensing
studies. In both cases we study two different methods for mass-density
truncation along the line of sight: hard truncation and conventional (no
truncation). We find that the relative error introduced in the total mass by
the thin lens approximation alone is less than 0.3% in the singular isothermal
sphere model, and less than 2% in the model of Navarro et al. (1997). The
removal of hard truncation introduces an additional error of the same order of
magnitude in the best case, and up to an order of magnitude larger in the worst
case studied. Our results ensure that the future generation of precision
cosmology experiments based on lensing studies will not require the removal of
the thin-lens assumption, but they may require a careful handling of
truncation.
| astro-ph gr-qc | we examine the accuracy of strong gravitational lensing determinations of the mass of galaxy clusters by comparing the conventional approach with the numerical integration of the fully relativistic null geodesic equations in the case of weak gravitational perturbations on robertsonwalker metrics in particular we study sphericallysymmetric threedimensional singular isothermal sphere models and the threedimensional matter distribution of navarro et al 1997 which are both commonly used in gravitational lensing studies in both cases we study two different methods for massdensity truncation along the line of sight hard truncation and conventional no truncation we find that the relative error introduced in the total mass by the thin lens approximation alone is less than 03 in the singular isothermal sphere model and less than 2 in the model of navarro et al 1997 the removal of hard truncation introduces an additional error of the same order of magnitude in the best case and up to an order of magnitude larger in the worst case studied our results ensure that the future generation of precision cosmology experiments based on lensing studies will not require the removal of the thinlens assumption but they may require a careful handling of truncation | [['we', 'examine', 'the', 'accuracy', 'of', 'strong', 'gravitational', 'lensing', 'determinations', 'of', 'the', 'mass', 'of', 'galaxy', 'clusters', 'by', 'comparing', 'the', 'conventional', 'approach', 'with', 'the', 'numerical', 'integration', 'of', 'the', 'fully', 'relativistic', 'null', 'geodesic', 'equations', 'in', 'the', 'case', 'of', 'weak', 'gravitational', 'perturbations', 'on', 'robertsonwalker', 'metrics', 'in', 'particular', 'we', 'study', 'sphericallysymmetric', 'threedimensional', 'singular', 'isothermal', 'sphere', 'models', 'and', 'the', 'threedimensional', 'matter', 'distribution', 'of', 'navarro', 'et', 'al', '1997', 'which', 'are', 'both', 'commonly', 'used', 'in', 'gravitational', 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'the', 'removal', 'of', 'the', 'thinlens', 'assumption', 'but', 'they', 'may', 'require', 'a', 'careful', 'handling', 'of', 'truncation']] | [-0.11084438234981035, 0.03389253423977477, -0.054817914169243705, 0.07747356007790326, -0.05865749027651297, -0.05909490621677239, -0.0057145552840368935, 0.3480883037329328, -0.16318938863815322, -0.348404882539881, 0.07530657074839466, -0.2765554011732872, -0.09353073651199134, 0.19366875515861096, -0.057263667844901125, 0.07519527729505635, 0.05255361650452702, -0.0228384000329985, -0.12120058735635379, -0.30251817680225346, 0.3296636540243136, 0.10767770553487638, 0.23448340437964213, -0.004261476054255452, 0.039870333641634455, 0.013123170886074707, -0.10489608644393786, 0.04191983388018714, -0.1612557385009755, 0.06346389157038268, 0.14952045921175766, 0.08387433466390465, 0.24615324690595877, -0.4114859444184267, -0.2372002150716108, 0.11124687110625055, 0.13677115983339216, 0.1107158740140184, -0.02987622211768045, -0.2737191236323715, 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711.4978 | Jet reshaping in heavy-ion collisions | We propose a new implementation of medium effects in jet structures in which
a modification of the splitting function is included at every step in the
typical final state parton shower. Although the main application of this new
formalism will be at the LHC, it is interesting that, in the presence of a
trigger bias to small number of splittings, non-trivial angular dependences
could appear with shapes similar to those measured experimentally at RHIC in
high-pT particle correlations.
| hep-ph | we propose a new implementation of medium effects in jet structures in which a modification of the splitting function is included at every step in the typical final state parton shower although the main application of this new formalism will be at the lhc it is interesting that in the presence of a trigger bias to small number of splittings nontrivial angular dependences could appear with shapes similar to those measured experimentally at rhic in highpt particle correlations | [['we', 'propose', 'a', 'new', 'implementation', 'of', 'medium', 'effects', 'in', 'jet', 'structures', 'in', 'which', 'a', 'modification', 'of', 'the', 'splitting', 'function', 'is', 'included', 'at', 'every', 'step', 'in', 'the', 'typical', 'final', 'state', 'parton', 'shower', 'although', 'the', 'main', 'application', 'of', 'this', 'new', 'formalism', 'will', 'be', 'at', 'the', 'lhc', 'it', 'is', 'interesting', 'that', 'in', 'the', 'presence', 'of', 'a', 'trigger', 'bias', 'to', 'small', 'number', 'of', 'splittings', 'nontrivial', 'angular', 'dependences', 'could', 'appear', 'with', 'shapes', 'similar', 'to', 'those', 'measured', 'experimentally', 'at', 'rhic', 'in', 'highpt', 'particle', 'correlations']] | [-0.10612481242666642, 0.1948374460140864, -0.1658350846503312, 0.12538378853619528, -0.05298330002010633, -0.08047478617980885, -0.06047943269666762, 0.3855988828895184, -0.24285391273979956, -0.3442112464601031, -0.00512051260104785, -0.26746722060040784, -0.040898069963217355, 0.1614943801616438, 0.008740889875648113, 0.04873045591207651, 0.10276427470858042, -0.022691923677204892, -0.07222065751930365, -0.19833622184038782, 0.31206542278269833, 0.09521653142590554, 0.22513282285907713, 0.13037368606250638, 0.08114246895106939, 0.018171000491397884, 0.008716819058650006, 0.040817334256970726, -0.09072393293312277, 0.04176794113113712, 0.2564788928183799, 0.04622722515621437, 0.22717018430837646, -0.35812913368938143, -0.12523716449765906, 0.06864260327524672, 0.15330415378169468, 0.15489378965979156, -0.07524808349374396, -0.2315478024717707, 0.10990757452180752, -0.2158532537615452, -0.15760911475771514, -0.036766812336655, -0.0036057713919152054, 0.005535965403303122, -0.24907529134697354, 0.08138368695448989, -0.006159787857308028, 0.013415532192597404, 0.018860582775699023, -0.1459787353180731, -0.026933299276070334, 0.070201246217132, 0.04477069219454932, 0.06922149172840783, 0.15448835074755315, -0.15271400031932175, -0.1315151734683567, 0.37682040372433573, -0.03589232290426317, -0.17670867977759394, 0.17189206266536927, -0.23072305457809797, -0.19780291886761403, 0.1593723357655108, 0.2317457045070254, 0.08179409202570334, -0.12834594565300414, 0.007922541845637636, -0.012297441317246128, 0.14750503323590144, 0.051823188634350516, 0.0846849271747021, 0.20929915559752724, 0.18858283385783672, 0.05158580145321022, 0.14425238146960068, -0.0981642562442292, -0.048249933892526686, -0.404664622213787, -0.10501599686115999, -0.14523463513558874, 0.035973938970038526, -0.06301627224550033, -0.1329875606088302, 0.4319779289743075, 0.13459683067571276, 0.24971516724699774, -0.03536443270366782, 0.3117831480713227, 0.0898862477654639, 0.10685792793997397, 0.06371099725425339, 0.26294304613167274, 0.10263767343265219, 0.1410773467594901, -0.23705645890619892, 0.10295299410100621, 0.020336171050961964] |
711.4979 | Testing the magnetic field models of galaxies with the SKA | The future new-generation radio telescope SKA (Square Kilometre Array) and
its precursors will provide a rapidly growing number of polarized radio
sources. Hundred and thousands polarized background sources can be measured
towards nearby galaxies thus allowing their detailed magnetic field mapping by
means of Faraday rotation measures (RM). We aim to estimate the required
density of the background polarized sources detected with the SKA for reliable
recognition and reconstruction of the magnetic field structure in nearby spiral
galaxies. We construct a galaxy model which includes the ionized gas and
magnetic field patterns of different azimuthal symmetry (axisymmetric (ASS),
bisymmetric (BSS) and quadrisymmetric spiral (QSS), and superpositions) plus a
halo magnetic field. RM fluctuations with a Kolmogorov spectrum due to
turbulent fields and/or fluctuations in ionized gas density are superimposed.
Recognition of magnetic structures is possible from RM towards background
sources behind galaxies or a continuous RM map obtained from the diffuse
polarized emission from the galaxy itself. Under favourite conditions, about a
few dozens of polarized sources are sufficient for a reliable recognition.
Reconstruction of the field structure without precognition becomes possible for
a large number of background sources. A reliable reconstruction of the field
structure needs at least 20 RM values on a cut along the projected minor axis
which translates to approximately 1200 sources towards the galaxy. Radio
telescopes operating at low frequencies (LOFAR, ASKAP and the low-frequency SKA
array) may also be useful instruments for field recognition or reconstruction
with the help of RM, if background sources are still significantly polarized at
low frequencies (abriged).
| astro-ph | the future newgeneration radio telescope ska square kilometre array and its precursors will provide a rapidly growing number of polarized radio sources hundred and thousands polarized background sources can be measured towards nearby galaxies thus allowing their detailed magnetic field mapping by means of faraday rotation measures rm we aim to estimate the required density of the background polarized sources detected with the ska for reliable recognition and reconstruction of the magnetic field structure in nearby spiral galaxies we construct a galaxy model which includes the ionized gas and magnetic field patterns of different azimuthal symmetry axisymmetric ass bisymmetric bss and quadrisymmetric spiral qss and superpositions plus a halo magnetic field rm fluctuations with a kolmogorov spectrum due to turbulent fields andor fluctuations in ionized gas density are superimposed recognition of magnetic structures is possible from rm towards background sources behind galaxies or a continuous rm map obtained from the diffuse polarized emission from the galaxy itself under favourite conditions about a few dozens of polarized sources are sufficient for a reliable recognition reconstruction of the field structure without precognition becomes possible for a large number of background sources a reliable reconstruction of the field structure needs at least 20 rm values on a cut along the projected minor axis which translates to approximately 1200 sources towards the galaxy radio telescopes operating at low frequencies lofar askap and the lowfrequency ska array may also be useful instruments for field recognition or reconstruction with the help of rm if background sources are still significantly polarized at low frequencies abriged | [['the', 'future', 'newgeneration', 'radio', 'telescope', 'ska', 'square', 'kilometre', 'array', 'and', 'its', 'precursors', 'will', 'provide', 'a', 'rapidly', 'growing', 'number', 'of', 'polarized', 'radio', 'sources', 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'frequencies', 'lofar', 'askap', 'and', 'the', 'lowfrequency', 'ska', 'array', 'may', 'also', 'be', 'useful', 'instruments', 'for', 'field', 'recognition', 'or', 'reconstruction', 'with', 'the', 'help', 'of', 'rm', 'if', 'background', 'sources', 'are', 'still', 'significantly', 'polarized', 'at', 'low', 'frequencies', 'abriged']] | [-0.14197288678742942, 0.145860102225606, -0.02257846108844308, 0.09986697808533168, -0.10036063289762645, -0.06893502837608674, -0.00982122152775584, 0.4460417712622563, -0.21374121376998173, -0.3293382030665324, 0.11163128529093681, -0.2833127820436709, -0.00892974685353013, 0.217926513805672, 0.04489452367295188, -0.035838546410485186, 0.017601086665669653, -0.055216290617605364, -0.04824812369691099, -0.19140751138401982, 0.25367851725485946, 0.1272695567766893, 0.2537239529310222, -0.03995885255548139, 0.10383404889923126, -0.08514218999196119, -0.06321807598590068, 0.0033944904702762685, -0.0678983415196811, 0.060303434397316814, 0.264452082472799, 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711.498 | Heavy ion collisions phenomenology overview | The reach of collider energies in heavy-ion collisions has profoundly changed
our understanding of QCD under extreme conditions. I review some these new
developments and comment on the properties of the produced medium as extracted
from experimental data, as well as the exciting new opportunities which will be
open at the LHC.
| hep-ph | the reach of collider energies in heavyion collisions has profoundly changed our understanding of qcd under extreme conditions i review some these new developments and comment on the properties of the produced medium as extracted from experimental data as well as the exciting new opportunities which will be open at the lhc | [['the', 'reach', 'of', 'collider', 'energies', 'in', 'heavyion', 'collisions', 'has', 'profoundly', 'changed', 'our', 'understanding', 'of', 'qcd', 'under', 'extreme', 'conditions', 'i', 'review', 'some', 'these', 'new', 'developments', 'and', 'comment', 'on', 'the', 'properties', 'of', 'the', 'produced', 'medium', 'as', 'extracted', 'from', 'experimental', 'data', 'as', 'well', 'as', 'the', 'exciting', 'new', 'opportunities', 'which', 'will', 'be', 'open', 'at', 'the', 'lhc']] | [-0.023161195317068353, 0.19771558760951918, -0.1423203846296439, 0.059056512742804795, -0.050401112490082875, -0.1037956643043659, -0.014776017606401673, 0.33472735742823434, -0.2635576844197483, -0.30012842070741147, 0.11863665365784143, -0.293632827188748, -0.038604182012092605, 0.24211776030894655, 0.02829377629006138, 0.06423086066990016, 0.13285061162717354, 0.002670690739670625, -0.05744068154420417, -0.24425682458184803, 0.3071890195491366, 0.1410651674780708, 0.2392203331602594, 0.2169526670287059, 0.0428698038650999, -0.006637353405284767, -0.03972226875619246, 0.014589333382900804, -0.15632502184822583, 0.09829689841325699, 0.28571099539000827, 0.15034752572850826, 0.21436242835793215, -0.45179522338394934, -0.2047170447006535, 0.04870394022705463, 0.1397903528637611, 0.11912751508330424, -0.12943119585487203, -0.32740250466248166, 0.06649112251873773, -0.17667852370784834, -0.1872952739493205, -0.0828894254250022, -0.012865462429964772, 0.04125718268691204, -0.2088471417530225, -0.00354998607116823, -0.019123077590708047, 0.0528253481651728, -0.03860913280648394, -0.2203402744176296, -0.004528105921613483, 0.06642064993950324, 0.09133568782216081, 0.05394944665917697, 0.17520139270569557, -0.22681666160441147, -0.16181201410766405, 0.43074015764376294, -0.008810821880335705, -0.040285343590837255, 0.23778588672240192, -0.18750907606087053, -0.1876082667060053, 0.0694333704170556, 0.2703250873869715, 0.062055682154515616, -0.1797253609670756, 0.07059510204327615, -0.030271374692137424, 0.05658391176033407, 0.07112886844417797, 0.16400004973491797, 0.27584523829416585, 0.2275719097099052, -0.006129264276331434, 0.09335868414983942, -0.04134423075727402, -0.05308081034141091, -0.4091398272520074, -0.07655397859903482, -0.13174414604257506, 0.06364046047719267, -0.024097464029182447, -0.062457836304719634, 0.40703148466463274, 0.2219296510761174, 0.2568520959466696, -0.09009520775110175, 0.24880609705891962, 0.05546624047341398, 0.03443093969802318, 0.04669227299382328, 0.32196153825106405, 0.08267504012641999, 0.2077119920241575, -0.199783117917832, 0.05283464328609765, -0.004919446592863936] |
711.4981 | Polaron relaxation in self-assembled quantum dots: Breakdown of the
semi-classical model | We calculate the lifetime of conduction band excited states in self-assembled
quantum dots by taking into account LO-phonon-electron interaction and various
anharmonic phonon couplings. We show that polaron relaxation cannot be
accurately described by a semi-classical model. The contributions of different
anharmonic decay channels are shown to depend strongly on the polaron energy.
We calculate the energy dependence of polaron lifetime and compare our results
to available experimental measurements of polaron decay time in InAs/GaAs
quantum dots.
| cond-mat.mes-hall cond-mat.mtrl-sci | we calculate the lifetime of conduction band excited states in selfassembled quantum dots by taking into account lophononelectron interaction and various anharmonic phonon couplings we show that polaron relaxation cannot be accurately described by a semiclassical model the contributions of different anharmonic decay channels are shown to depend strongly on the polaron energy we calculate the energy dependence of polaron lifetime and compare our results to available experimental measurements of polaron decay time in inasgaas quantum dots | [['we', 'calculate', 'the', 'lifetime', 'of', 'conduction', 'band', 'excited', 'states', 'in', 'selfassembled', 'quantum', 'dots', 'by', 'taking', 'into', 'account', 'lophononelectron', 'interaction', 'and', 'various', 'anharmonic', 'phonon', 'couplings', 'we', 'show', 'that', 'polaron', 'relaxation', 'can', 'not', 'be', 'accurately', 'described', 'by', 'a', 'semiclassical', 'model', 'the', 'contributions', 'of', 'different', 'anharmonic', 'decay', 'channels', 'are', 'shown', 'to', 'depend', 'strongly', 'on', 'the', 'polaron', 'energy', 'we', 'calculate', 'the', 'energy', 'dependence', 'of', 'polaron', 'lifetime', 'and', 'compare', 'our', 'results', 'to', 'available', 'experimental', 'measurements', 'of', 'polaron', 'decay', 'time', 'in', 'inasgaas', 'quantum', 'dots']] | [-0.10304214195620462, 0.2594432982150465, -0.06281054065889352, 0.0969707238693516, 0.021844118930302657, -0.18796979974011901, 0.04186959878553624, 0.40735521931926927, -0.26084053617986763, -0.24361141301788292, -0.05327273467737069, -0.32089911565765156, -0.05253003553378505, 0.19161431029039835, 0.09179567759735631, 0.027362109361482517, 0.09897063338717857, -0.04566656994064907, -0.015154435350741078, -0.20538037344692395, 0.26232650002779123, 0.03132962976437207, 0.26981124564908543, 0.18774748995428445, 0.0004138498833136899, 0.02967821666970849, 0.08293464998775102, -0.009791173694002163, -0.23620162766595756, 0.08236026068674643, 0.2440916677073624, -0.06978453522814172, 0.1855579541705839, -0.49019875483853476, -0.19763264431339966, 0.014472792541922687, 0.20504195231932226, 0.20169638393616135, -0.012858043129967115, -0.3164557968931539, 0.008980733820225125, -0.17010934292883068, -0.02458432780475924, -0.12591623911005143, 0.00807716285011598, 0.021039457991719246, -0.2253767200382789, 0.13084691921672362, -0.009811059402471239, -0.06459355896169489, -0.1375885085118088, -0.11436730630502298, -0.014903502567526098, 0.09913767130997081, 0.04237088387946949, -0.057205653436445666, 0.21886545185350462, -0.056006996396493605, -0.14439614900907913, 0.3784244289355619, -0.12309957682094597, -0.1464950484646992, 0.1070758570711334, -0.19256341607346164, -0.04881956350276029, 0.15546080134446164, 0.13989822756402293, 0.08711089081979091, -0.16243701967011606, 0.1216750705279992, 0.06014345072560593, 0.17451830070417423, 0.007610202095676939, 0.16355760485030613, 0.18154590471659776, 0.14154187946689206, -0.04647105301929904, 0.14464023575192778, -0.08557297563627846, -0.1611674570224502, -0.24416484995805599, -0.14498824810052846, -0.2822753606642318, 0.1321639023426778, -0.02493686143682314, -0.13589505142609395, 0.47710232722101276, 0.11221337289392173, 0.20150459937557771, 0.02058626055814229, 0.23183324173479886, 0.19068664331110075, 0.07888213557179098, 0.02858352946577134, 0.2918968719200461, 0.17845063042742285, 0.0025480550883168526, -0.3963904344271143, -0.003268591176670093, -0.007233862825608873] |
711.4982 | Semiclassical Droplet States in Matrix Quantum Hall Effect | We derive semiclassical ground state solutions that correspond to the quantum
Hall states earlier found in the Maxwell-Chern-Simons matrix theory. They
realize the Jain composite-fermion construction and their density is piecewise
constant as that of phenomenological wave functions. These results support the
matrix theory as a possible effective theory of the fractional Hall effect. A
crucial role is played by the constraint limiting the degeneracy of matrix
states: we find its explicit gauge invariant form and clarify its physical
interpretation.
| hep-th cond-mat.mes-hall | we derive semiclassical ground state solutions that correspond to the quantum hall states earlier found in the maxwellchernsimons matrix theory they realize the jain compositefermion construction and their density is piecewise constant as that of phenomenological wave functions these results support the matrix theory as a possible effective theory of the fractional hall effect a crucial role is played by the constraint limiting the degeneracy of matrix states we find its explicit gauge invariant form and clarify its physical interpretation | [['we', 'derive', 'semiclassical', 'ground', 'state', 'solutions', 'that', 'correspond', 'to', 'the', 'quantum', 'hall', 'states', 'earlier', 'found', 'in', 'the', 'maxwellchernsimons', 'matrix', 'theory', 'they', 'realize', 'the', 'jain', 'compositefermion', 'construction', 'and', 'their', 'density', 'is', 'piecewise', 'constant', 'as', 'that', 'of', 'phenomenological', 'wave', 'functions', 'these', 'results', 'support', 'the', 'matrix', 'theory', 'as', 'a', 'possible', 'effective', 'theory', 'of', 'the', 'fractional', 'hall', 'effect', 'a', 'crucial', 'role', 'is', 'played', 'by', 'the', 'constraint', 'limiting', 'the', 'degeneracy', 'of', 'matrix', 'states', 'we', 'find', 'its', 'explicit', 'gauge', 'invariant', 'form', 'and', 'clarify', 'its', 'physical', 'interpretation']] | [-0.16056897708331236, 0.17828080511535518, -0.1152837087516673, 0.11254614792123903, -0.062347840145230295, -0.11726121291285381, 0.040655446842720266, 0.2916466201422736, -0.22826143676356878, -0.2829120302340016, 0.06907962421973934, -0.23822680053417572, -0.24163210429251195, 0.10039385725103785, 0.01215148475021124, 0.10608125855069375, -0.020730615136562845, 0.02305179729592055, -0.12500971863846644, -0.1993794346228242, 0.34085582491825334, 0.03783762620732887, 0.27542748387204485, 0.07400142669212073, 0.10133349233074114, -8.955910452641546e-05, -0.012275665334891528, -0.02245176684955368, -0.14104539422060042, 0.08859894120978425, 0.2566967414401006, 0.04353411396732554, 0.20290043568238617, -0.4612131300382316, -0.1924343046001013, 0.041073738498380405, 0.09675875742686912, 0.14884847833309323, -0.025245462788734584, -0.29594741996843366, 0.020819462451618163, -0.20885838741087354, -0.20745918844040717, -0.11837407973071094, 0.0346382200543303, -0.07705812333151699, -0.23447625501503352, 0.09854391920198395, 0.056173804789432326, -0.011840749916154891, -0.07948083881929051, -0.16185480897547677, -0.053284755875938575, 0.1169148567598313, 0.022957317136751955, 0.04349646935443161, 0.12355434764176607, -0.1683067371719517, -0.15881571618083398, 0.3478773834300227, -0.057383205404039475, -0.2363817226490937, 0.13851667203125545, -0.11541689105215483, -0.12191213856567629, 0.07020039730123244, 0.08876771970535628, 0.0784306759480387, -0.06431658290093764, 0.1674045670297346, -0.09229179779194965, 0.10780295981676317, 0.045598077413160354, 0.11377578403335065, 0.2261073638801463, 0.05927189795766026, 0.06006248550256714, 0.11384483817673755, -0.012949437415227295, -0.14998961525343474, -0.35370887932367623, -0.16475749204146267, -0.20653273771167732, 0.11114991259582893, -0.06929735609992349, -0.18819177026744, 0.37435067749756856, 0.12681912425905467, 0.17597662993357516, 0.022087315935641526, 0.20226193245616741, 0.21226724437874508, 0.015198617881105747, 0.02043868268810911, 0.25206456466112287, 0.2418979248701362, 0.0563574360741768, -0.28295067315921185, 0.026043623028090223, 0.11853997318539769] |
711.4983 | A Method for Compressing Parameters in Bayesian Models with Application
to Logistic Sequence Prediction Models | Bayesian classification and regression with high order interactions is
largely infeasible because Markov chain Monte Carlo (MCMC) would need to be
applied with a great many parameters, whose number increases rapidly with the
order. In this paper we show how to make it feasible by effectively reducing
the number of parameters, exploiting the fact that many interactions have the
same values for all training cases. Our method uses a single ``compressed''
parameter to represent the sum of all parameters associated with a set of
patterns that have the same value for all training cases. Using symmetric
stable distributions as the priors of the original parameters, we can easily
find the priors of these compressed parameters. We therefore need to deal only
with a much smaller number of compressed parameters when training the model
with MCMC. The number of compressed parameters may have converged before
considering the highest possible order. After training the model, we can split
these compressed parameters into the original ones as needed to make
predictions for test cases. We show in detail how to compress parameters for
logistic sequence prediction models. Experiments on both simulated and real
data demonstrate that a huge number of parameters can indeed be reduced by our
compression method.
| stat.ML stat.ME | bayesian classification and regression with high order interactions is largely infeasible because markov chain monte carlo mcmc would need to be applied with a great many parameters whose number increases rapidly with the order in this paper we show how to make it feasible by effectively reducing the number of parameters exploiting the fact that many interactions have the same values for all training cases our method uses a single compressed parameter to represent the sum of all parameters associated with a set of patterns that have the same value for all training cases using symmetric stable distributions as the priors of the original parameters we can easily find the priors of these compressed parameters we therefore need to deal only with a much smaller number of compressed parameters when training the model with mcmc the number of compressed parameters may have converged before considering the highest possible order after training the model we can split these compressed parameters into the original ones as needed to make predictions for test cases we show in detail how to compress parameters for logistic sequence prediction models experiments on both simulated and real data demonstrate that a huge number of parameters can indeed be reduced by our compression method | [['bayesian', 'classification', 'and', 'regression', 'with', 'high', 'order', 'interactions', 'is', 'largely', 'infeasible', 'because', 'markov', 'chain', 'monte', 'carlo', 'mcmc', 'would', 'need', 'to', 'be', 'applied', 'with', 'a', 'great', 'many', 'parameters', 'whose', 'number', 'increases', 'rapidly', 'with', 'the', 'order', 'in', 'this', 'paper', 'we', 'show', 'how', 'to', 'make', 'it', 'feasible', 'by', 'effectively', 'reducing', 'the', 'number', 'of', 'parameters', 'exploiting', 'the', 'fact', 'that', 'many', 'interactions', 'have', 'the', 'same', 'values', 'for', 'all', 'training', 'cases', 'our', 'method', 'uses', 'a', 'single', 'compressed', 'parameter', 'to', 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'sequence', 'prediction', 'models', 'experiments', 'on', 'both', 'simulated', 'and', 'real', 'data', 'demonstrate', 'that', 'a', 'huge', 'number', 'of', 'parameters', 'can', 'indeed', 'be', 'reduced', 'by', 'our', 'compression', 'method']] | [-0.036313814246683444, 0.1308871632242955, -0.04261264612715131, 0.056050649260903154, -0.09552948132555172, -0.13426888336029663, 0.05239127080116728, 0.4074750137379737, -0.30546268889255535, -0.3714112628260356, 0.12397684130277395, -0.23724315950683164, -0.11955862023383922, 0.2200651305063076, -0.04241528839903694, 0.08876059563765223, 0.12512975765134488, 0.04421857398713134, -0.09240717703484459, -0.31188710045648144, 0.2705690490479753, 0.07163862591989122, 0.26875070082837516, -0.04112075028197334, 0.07186779155151791, -0.004225344338354845, -0.001551424750484056, 0.03864492504487219, -0.09636395804759074, 0.11423751302922452, 0.26020522443182414, 0.15814439545485, 0.2791489251703928, -0.41992143874770954, -0.2526343400512135, 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711.4984 | Rotation and Macroturbulence in Metal-poor Field Red Giant and Red
Horizontal Branch Stars | We report the results for rotational velocities, Vrot sin i, and
macroturbulence dispersion, zeta(RT), for 12 metal-poor field red giant branch
stars and 7 metal-poor field red horizontal branch stars. The results are based
on Fourier transform analyses of absorption line profiles from high-resolution
(R ~ 120,000), high-S/N (~ 215 per pixel) spectra obtained with the Gecko
spectrograph at CFHT. We find that the zeta(RT) values for the metal-poor RGB
stars are very similar to those for metal-rich disk giants studied earlier by
Gray and his collaborators. Six of the RGB stars have small rotational values,
less than 2.0 km/sec, while five show significant rotation, over 3 km/sec. The
fraction of rapidly rotating RHB stars is somewhat lower than found among BHB
stars. We devise two empirical methods to translate the line-broadening results
obtained by Carney et al. (2003, 2008) into Vrot sin i for all the RGB and RHB
stars they studied. Binning the RGB stars by luminosity, we find that most
metal-poor field RGB stars show no detectable sign, on average, of rotation.
However, the most luminous stars, with M(V) <= -1.5, do show net rotation, with
mean values of 2 to 4 km/sec, depending on the algorithm employed, and these
stars also show signs of radial velocity jitter and mass loss.
| astro-ph | we report the results for rotational velocities vrot sin i and macroturbulence dispersion zetart for 12 metalpoor field red giant branch stars and 7 metalpoor field red horizontal branch stars the results are based on fourier transform analyses of absorption line profiles from highresolution r 120000 highsn 215 per pixel spectra obtained with the gecko spectrograph at cfht we find that the zetart values for the metalpoor rgb stars are very similar to those for metalrich disk giants studied earlier by gray and his collaborators six of the rgb stars have small rotational values less than 20 kmsec while five show significant rotation over 3 kmsec the fraction of rapidly rotating rhb stars is somewhat lower than found among bhb stars we devise two empirical methods to translate the linebroadening results obtained by carney et al 2003 2008 into vrot sin i for all the rgb and rhb stars they studied binning the rgb stars by luminosity we find that most metalpoor field rgb stars show no detectable sign on average of rotation however the most luminous stars with mv 15 do show net rotation with mean values of 2 to 4 kmsec depending on the algorithm employed and these stars also show signs of radial velocity jitter and mass loss | [['we', 'report', 'the', 'results', 'for', 'rotational', 'velocities', 'vrot', 'sin', 'i', 'and', 'macroturbulence', 'dispersion', 'zetart', 'for', '12', 'metalpoor', 'field', 'red', 'giant', 'branch', 'stars', 'and', '7', 'metalpoor', 'field', 'red', 'horizontal', 'branch', 'stars', 'the', 'results', 'are', 'based', 'on', 'fourier', 'transform', 'analyses', 'of', 'absorption', 'line', 'profiles', 'from', 'highresolution', 'r', '120000', 'highsn', '215', 'per', 'pixel', 'spectra', 'obtained', 'with', 'the', 'gecko', 'spectrograph', 'at', 'cfht', 'we', 'find', 'that', 'the', 'zetart', 'values', 'for', 'the', 'metalpoor', 'rgb', 'stars', 'are', 'very', 'similar', 'to', 'those', 'for', 'metalrich', 'disk', 'giants', 'studied', 'earlier', 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711.4985 | Subalgebras of Lie algebras with non-degenerate restriction of the
Killing form | Let $\mf{g}$ be any finite-dimensional Lie algebra with Killling form $B$.
Let $\mf{h}$ be a subalgebra of $\mf{g}$ on which the Killing form is non
degenerate. Then $\mf{h}$ is reductive.
| math.RA | let mfg be any finitedimensional lie algebra with killling form b let mfh be a subalgebra of mfg on which the killing form is non degenerate then mfh is reductive | [['let', 'mfg', 'be', 'any', 'finitedimensional', 'lie', 'algebra', 'with', 'killling', 'form', 'b', 'let', 'mfh', 'be', 'a', 'subalgebra', 'of', 'mfg', 'on', 'which', 'the', 'killing', 'form', 'is', 'non', 'degenerate', 'then', 'mfh', 'is', 'reductive']] | [-0.20487948275845627, 0.0827369431338819, -0.1113269045820524, -0.09735450200768637, -0.2698341994064635, -0.26855008803500696, -0.08675060874043868, 0.30118954823962574, -0.3675789629301891, -0.09658082545702827, 0.1364446331271179, -0.2227461458794002, -0.10331714471224053, 0.16360521724383378, -0.10592952113727043, -0.199918737105126, 0.10418298048898578, 0.2338129612135476, -0.0541938244493614, -0.24974334002311888, 0.43787725064261207, -0.1242841402578553, 0.19044089082885404, -0.06269809427060957, 0.10662758491676429, -0.007634999535592465, 0.18037686811695838, 0.05906699878838042, -0.0891345519379809, 0.023442277877495206, 0.39198358819402496, 0.07026848124725552, 0.3403527824015453, -0.3324880362648902, -0.10184681364575979, 0.3321088065618071, 0.2441676283447907, -0.046227346836781966, 0.02716958676545142, -0.3601599032508916, 0.15918532396056528, -0.18275253750897688, -0.16500122524027167, -0.10941143131590095, 0.04161932820390011, -0.039341020108810784, -0.37855276263094156, 0.05381826247120726, 0.014892238095916551, 0.13620600695240087, -0.14540286092408772, -0.06811194242066543, -0.18317225358673725, -0.049391022546152616, -0.1393719931486352, 0.11379862719632942, 0.14800985467395392, 0.024213623287605828, -0.14396013276137667, 0.4085899453995557, -0.076243511690148, -0.3721412051597546, 0.05747078757347732, -0.24589807681482415, -0.07229313397266228, 0.06414368851431484, 0.13622107832082386, 0.15922376442829084, -0.08689792261555276, 0.2862474228544482, -0.17974396538117837, -0.01380226735411019, 0.005112705752253532, -0.07694012209259231, 0.16255650707873806, 0.0768227119897974, 0.10723272527985532, 0.04773825133251476, 0.15892031144125965, -0.028425149876495887, -0.38553723230444154, -0.17140827234834433, -0.07321872061182713, 0.320561031457679, -0.160286040270123, -0.15434747205340657, 0.31924360051173073, 0.01301426437265914, 0.12084856719292443, 0.12394732882766503, 0.13072904250745115, 0.21600706679425363, 0.08151853271832304, 0.17532971954567295, 0.055271853644657754, 0.3547135066754859, -0.1296808472352809, -0.17490045432450957, -0.011221308758931941, 0.1939035781883988] |
711.4986 | On highly transcendental quantities which cannot be expressed by
integral formulas | E565 in the Enestrom index. Translated from the Latin original, "De plurimis
quantitatibus transcendentibus quas nullo modo per formulas integrales
exprimere licet" (1775).
Euler does not prove any results in this paper. It seems to me like he is
trying to develop some general ideas about special functions. He gives some
examples of numbers he claims but does not prove cannot be represented by
definite integrals of algebraic functions. Euler has the idea that if we knew
more about the function with the power series $\sum x^{t_n}$ where $t_n$ is the
$n$th triangular number, this could lead to a proof of Fermat's theorem that
every positive integer is the sum of three triangular numbers. This doesn't end
of being fruitful for Euler, but in fact later Jacobi proves a lot of results
like this with his theta functions. The last paragraph (\S 9) is not clear to
me. My best reading is that there are infinitely many "levels" of
transcendental numbers and that this is unexpected or remarkable.
| math.HO math.CA | e565 in the enestrom index translated from the latin original de plurimis quantitatibus transcendentibus quas nullo modo per formulas integrales exprimere licet 1775 euler does not prove any results in this paper it seems to me like he is trying to develop some general ideas about special functions he gives some examples of numbers he claims but does not prove cannot be represented by definite integrals of algebraic functions euler has the idea that if we knew more about the function with the power series sum xt_n where t_n is the nth triangular number this could lead to a proof of fermats theorem that every positive integer is the sum of three triangular numbers this doesnt end of being fruitful for euler but in fact later jacobi proves a lot of results like this with his theta functions the last paragraph s 9 is not clear to me my best reading is that there are infinitely many levels of transcendental numbers and that this is unexpected or remarkable | [['e565', 'in', 'the', 'enestrom', 'index', 'translated', 'from', 'the', 'latin', 'original', 'de', 'plurimis', 'quantitatibus', 'transcendentibus', 'quas', 'nullo', 'modo', 'per', 'formulas', 'integrales', 'exprimere', 'licet', '1775', 'euler', 'does', 'not', 'prove', 'any', 'results', 'in', 'this', 'paper', 'it', 'seems', 'to', 'me', 'like', 'he', 'is', 'trying', 'to', 'develop', 'some', 'general', 'ideas', 'about', 'special', 'functions', 'he', 'gives', 'some', 'examples', 'of', 'numbers', 'he', 'claims', 'but', 'does', 'not', 'prove', 'can', 'not', 'be', 'represented', 'by', 'definite', 'integrals', 'of', 'algebraic', 'functions', 'euler', 'has', 'the', 'idea', 'that', 'if', 'we', 'knew', 'more', 'about', 'the', 'function', 'with', 'the', 'power', 'series', 'sum', 'xt_n', 'where', 't_n', 'is', 'the', 'nth', 'triangular', 'number', 'this', 'could', 'lead', 'to', 'a', 'proof', 'of', 'fermats', 'theorem', 'that', 'every', 'positive', 'integer', 'is', 'the', 'sum', 'of', 'three', 'triangular', 'numbers', 'this', 'doesnt', 'end', 'of', 'being', 'fruitful', 'for', 'euler', 'but', 'in', 'fact', 'later', 'jacobi', 'proves', 'a', 'lot', 'of', 'results', 'like', 'this', 'with', 'his', 'theta', 'functions', 'the', 'last', 'paragraph', 's', '9', 'is', 'not', 'clear', 'to', 'me', 'my', 'best', 'reading', 'is', 'that', 'there', 'are', 'infinitely', 'many', 'levels', 'of', 'transcendental', 'numbers', 'and', 'that', 'this', 'is', 'unexpected', 'or', 'remarkable']] | [-0.1450495470296418, 0.10579926691232075, -0.1297587140561631, 0.0844004011368784, -0.14252244440190817, -0.16413902847084755, 0.011808696232579926, 0.3091090135507702, -0.26228808077838217, -0.278407533705142, 0.08277866543163633, -0.2956921009676566, -0.16950731825008294, 0.20012399414988083, -0.14726902259271868, -0.0325862813252169, 0.04196873679974041, 0.08263647320871212, -0.060776268701815274, -0.32660539111596826, 0.2890030503249872, -0.0014078780106320885, 0.18869686392511917, 0.09092246124303795, 0.08658326637746061, 0.0022214259648614602, -0.009106992037102048, -0.01922735906862625, -0.1073722661950449, 0.09600667112582126, 0.2870871373278708, 0.15070040386042888, 0.3175208086946181, -0.38443537677912276, -0.1260079491293486, 0.1590004682610309, 0.15290859877565724, 0.07688155529661948, 0.004812278343282889, -0.20766226330089457, 0.11173057497221606, -0.14941027632087284, -0.14013873628681953, -0.06472327261411162, 0.06507247695352257, 0.044533118938228915, -0.2174246112544159, 0.015187282508574658, 0.14037660541163283, 0.06159048892488206, 0.01471448920794433, -0.18959896829158576, 0.0067715114951480805, 0.07965609646309746, 0.0777603951904645, 0.049042622202295834, 0.022557081576214052, -0.07551826796239901, -0.10536464753919368, 0.3654682310992239, -0.026623787694633794, -0.21932538286262185, 0.12721661686527064, -0.20143214825783734, -0.16944697533476727, 0.13853892812184318, 0.04434421497125248, 0.1069723125691786, -0.06254969144482976, 0.08460757105071849, -0.14287831618086153, 0.18622838167013797, 0.14416304598880572, -0.04046521081425747, 0.17254070702199795, 0.015230312256174312, 0.05028329882734623, 0.09511079591545653, 0.018421510801367138, -0.07963749869388198, -0.3143056864338285, -0.19906301473076485, -0.20374592808682634, 0.1462188989494534, -0.05708810897326742, -0.17707675905979198, 0.3517224319345717, 0.10701416701697368, 0.14998206025660502, 0.07153408040772684, 0.2319224278749146, 0.14629184344084933, 0.06254290959202888, 0.0761382731736308, 0.1696669186124873, 0.14128667787758645, 0.1323605785840509, -0.07446116328482395, 0.08358585144977392, 0.13080455925639556] |
711.4987 | Okubo-Zweig-Iizuka-rule violation and B\to \eta^{(\prime)}K branching
ratios | We show that few-percent Okubo-Zweig-Iizuka-rule violating effects in the
quark-flavor basis for the $\eta$-$\eta'$ mixing can enhance the chiral scale
associated with the $\eta_q$ meson few times. This enhancement is sufficient
for accommodating the dramatically different data of the $B\to\eta^{\prime} K$
and $B\to\eta K$ branching ratios. We comment on other proposals for resolving
this problem, including flavor-singlet contributions, axial U(1) anomaly, and
nonperturbative charming penguins. Discrimination of the above proposals by
means of the $B\to\eta^{(\prime)}\ell\nu$ and $B_s\to\eta^{(\prime)}\ell\ell$
data is suggested.
| hep-ph | we show that fewpercent okubozweigiizukarule violating effects in the quarkflavor basis for the etaeta mixing can enhance the chiral scale associated with the eta_q meson few times this enhancement is sufficient for accommodating the dramatically different data of the btoetaprime k and btoeta k branching ratios we comment on other proposals for resolving this problem including flavorsinglet contributions axial u1 anomaly and nonperturbative charming penguins discrimination of the above proposals by means of the btoetaprimeellnu and b_stoetaprimeellell data is suggested | [['we', 'show', 'that', 'fewpercent', 'okubozweigiizukarule', 'violating', 'effects', 'in', 'the', 'quarkflavor', 'basis', 'for', 'the', 'etaeta', 'mixing', 'can', 'enhance', 'the', 'chiral', 'scale', 'associated', 'with', 'the', 'eta_q', 'meson', 'few', 'times', 'this', 'enhancement', 'is', 'sufficient', 'for', 'accommodating', 'the', 'dramatically', 'different', 'data', 'of', 'the', 'btoetaprime', 'k', 'and', 'btoeta', 'k', 'branching', 'ratios', 'we', 'comment', 'on', 'other', 'proposals', 'for', 'resolving', 'this', 'problem', 'including', 'flavorsinglet', 'contributions', 'axial', 'u1', 'anomaly', 'and', 'nonperturbative', 'charming', 'penguins', 'discrimination', 'of', 'the', 'above', 'proposals', 'by', 'means', 'of', 'the', 'btoetaprimeellnu', 'and', 'b_stoetaprimeellell', 'data', 'is', 'suggested']] | [-0.14074749021911934, 0.24827922651495196, -0.016081319085634805, 0.09245182257635813, -0.06561963731349495, -0.12079725436878537, 0.08284933794608437, 0.31202325854744567, -0.18815593270425635, -0.2823234426752223, 0.053852845190129686, -0.2962555002626399, -0.07412653799570092, 0.11488232792869799, 0.016410264958578506, 0.0740764839145796, 0.018860410261703164, 0.016761626582592726, -0.08371692190963873, -0.19949232160242422, 0.3127016590810136, 0.008686932539077182, 0.2565832126542534, 0.18798187152041415, 0.04861965936633121, -0.03623788494855704, -0.07369888183893636, -0.03021565361536647, -0.10983039035607745, 0.07265846486858975, 0.19736376244844378, 0.11740987964195053, 0.13053360292197844, -0.3665591952893393, -0.15583799512272603, 0.14102442159415468, 0.1665742932512474, 0.11293160311240506, -0.025264984108568905, -0.32894536973540917, 0.09846297578003846, -0.15671083726920187, -0.08583935626512884, -0.1355770974125909, 0.016911744568987114, -0.10342047028059728, -0.3386330906007635, 0.09741067733174484, -0.0009042584753938412, 0.03178260021990067, 0.008948075153105157, -0.22631199499224558, 0.001730677812654329, 0.07163667731526259, 0.15615491015246094, 0.024429132003876333, 0.13383494509310512, -0.1913055190387623, -0.1605045764008537, 0.406407592769124, -0.09868363234349281, -0.16141917951110946, 0.11315417480593744, -0.15577963150587348, -0.18715737790089884, 0.12576106669209702, 0.13578635341745163, 0.07294381813086434, -0.11489255568870392, 0.09779145619847297, -0.034101385304606276, 0.11248710899656687, 0.07254398041282241, 0.07754348810321014, 0.1741975930421368, 0.17214269061131696, 0.02118758199044111, 0.06911761227973712, -0.08557479870643492, -0.054238901620632725, -0.348322185197551, -0.11212486634184116, -0.07418535648551035, 0.05572544579933349, -0.10429025436908552, -0.04663945937921342, 0.3679653342911287, 0.16854388636267303, 0.25342066100749533, 0.016137097778386976, 0.28470627983149727, 0.10938686845245109, 0.11560948319598346, 0.022865631356054156, 0.2772714110140346, 0.12670404615039987, 0.07402138286392744, -0.3175356003063682, 0.03727804417844469, 0.0379555512278641] |
711.4988 | Detection of an inner gaseous component in a Herbig Be star accretion
disk: Near- and mid-infrared spectro-interferometry and radiative transfer
modeling of MWC 147 | We study the geometry and the physical conditions in the inner (AU-scale)
circumstellar region around the young Herbig Be star MWC 147 using
long-baseline spectro-interferometry in the near-infrared (NIR K-band,
VLTI/AMBER observations and PTI archive data) as well as the mid-infrared (MIR
N-band, VLTI/MIDIobservations). The emission from MWC 147 is clearly resolved
and has a characteristic physical size of approx. 1.3 AU and 9 AU at 2.2 micron
and 11 micron respectively (Gaussian diameter). The spectrally dispersed AMBER
and MIDI interferograms both show a strong increase in the characteristic size
towards longer wavelengths, much steeper than predicted by analytic disk models
assuming power-law radial temperature distributions. We model the
interferometric data and the spectral energy distribution of MWC 147 with 2-D,
frequency-dependent radiation transfer simulations. This analysis shows that
models of spherical envelopes or passive irradiated Keplerian disks (with
vertical or curved puffed-up inner rim) can easily fit the SED, but predict
much lower visibilities than observed; the angular size predicted by such
models is 2 to 4 times larger than the size derived from the interferometric
data, so these models can clearly be ruled out. Models of a Keplerian disk with
optically thick gas emission from an active gaseous disk (inside the dust
sublimation zone), however, yield a good fit of the SED and simultaneously
reproduce the absolute level and the spectral dependence of the NIR and MIR
visibilities. We conclude that the NIR continuum emission from MWC 147 is
dominated by accretion luminosity emerging from an optically thick inner
gaseous disk, while the MIR emission also contains contributions from the
outer, irradiated dust disk.
| astro-ph | we study the geometry and the physical conditions in the inner auscale circumstellar region around the young herbig be star mwc 147 using longbaseline spectrointerferometry in the nearinfrared nir kband vltiamber observations and pti archive data as well as the midinfrared mir nband vltimidiobservations the emission from mwc 147 is clearly resolved and has a characteristic physical size of approx 13 au and 9 au at 22 micron and 11 micron respectively gaussian diameter the spectrally dispersed amber and midi interferograms both show a strong increase in the characteristic size towards longer wavelengths much steeper than predicted by analytic disk models assuming powerlaw radial temperature distributions we model the interferometric data and the spectral energy distribution of mwc 147 with 2d frequencydependent radiation transfer simulations this analysis shows that models of spherical envelopes or passive irradiated keplerian disks with vertical or curved puffedup inner rim can easily fit the sed but predict much lower visibilities than observed the angular size predicted by such models is 2 to 4 times larger than the size derived from the interferometric data so these models can clearly be ruled out models of a keplerian disk with optically thick gas emission from an active gaseous disk inside the dust sublimation zone however yield a good fit of the sed and simultaneously reproduce the absolute level and the spectral dependence of the nir and mir visibilities we conclude that the nir continuum emission from mwc 147 is dominated by accretion luminosity emerging from an optically thick inner gaseous disk while the mir emission also contains contributions from the outer irradiated dust disk | [['we', 'study', 'the', 'geometry', 'and', 'the', 'physical', 'conditions', 'in', 'the', 'inner', 'auscale', 'circumstellar', 'region', 'around', 'the', 'young', 'herbig', 'be', 'star', 'mwc', '147', 'using', 'longbaseline', 'spectrointerferometry', 'in', 'the', 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711.4989 | The Local Hubble Flow: Is it a Manifestation of Dark Energy? | To study the local Hubble flow, we have run constrained dark matter
(DM) simulations of the Local Group (LG) in the concordance LCDM and OCDM
cosmologies, with identical cosmological parameters apart from the Lambda term.
The simulations were performed within a computational box of 64 h^{-1}Mpc
centred on the LG. The initial conditions were constrained by the observed
peculiar velocities of galaxies and positions of X-ray nearby clusters of
galaxies. The simulations faithfully reproduce the nearby large scale
structure, and in particular the Local Supercluster and the Virgo cluster.
LG-like objects have been selected from the DM halos so as to closely resemble
the dynamical properties of the LG. Both the LCDM and OCDM simulations show
very similar local Hubble flow around the LG-like objects. It follows that,
contrary to recent statements, the dark energy (DE) does not manifest itself in
the local dynamics.
| astro-ph | to study the local hubble flow we have run constrained dark matter dm simulations of the local group lg in the concordance lcdm and ocdm cosmologies with identical cosmological parameters apart from the lambda term the simulations were performed within a computational box of 64 h1mpc centred on the lg the initial conditions were constrained by the observed peculiar velocities of galaxies and positions of xray nearby clusters of galaxies the simulations faithfully reproduce the nearby large scale structure and in particular the local supercluster and the virgo cluster lglike objects have been selected from the dm halos so as to closely resemble the dynamical properties of the lg both the lcdm and ocdm simulations show very similar local hubble flow around the lglike objects it follows that contrary to recent statements the dark energy de does not manifest itself in the local dynamics | [['to', 'study', 'the', 'local', 'hubble', 'flow', 'we', 'have', 'run', 'constrained', 'dark', 'matter', 'dm', 'simulations', 'of', 'the', 'local', 'group', 'lg', 'in', 'the', 'concordance', 'lcdm', 'and', 'ocdm', 'cosmologies', 'with', 'identical', 'cosmological', 'parameters', 'apart', 'from', 'the', 'lambda', 'term', 'the', 'simulations', 'were', 'performed', 'within', 'a', 'computational', 'box', 'of', '64', 'h1mpc', 'centred', 'on', 'the', 'lg', 'the', 'initial', 'conditions', 'were', 'constrained', 'by', 'the', 'observed', 'peculiar', 'velocities', 'of', 'galaxies', 'and', 'positions', 'of', 'xray', 'nearby', 'clusters', 'of', 'galaxies', 'the', 'simulations', 'faithfully', 'reproduce', 'the', 'nearby', 'large', 'scale', 'structure', 'and', 'in', 'particular', 'the', 'local', 'supercluster', 'and', 'the', 'virgo', 'cluster', 'lglike', 'objects', 'have', 'been', 'selected', 'from', 'the', 'dm', 'halos', 'so', 'as', 'to', 'closely', 'resemble', 'the', 'dynamical', 'properties', 'of', 'the', 'lg', 'both', 'the', 'lcdm', 'and', 'ocdm', 'simulations', 'show', 'very', 'similar', 'local', 'hubble', 'flow', 'around', 'the', 'lglike', 'objects', 'it', 'follows', 'that', 'contrary', 'to', 'recent', 'statements', 'the', 'dark', 'energy', 'de', 'does', 'not', 'manifest', 'itself', 'in', 'the', 'local', 'dynamics']] | [-0.08503337073165716, 0.08041259449479791, -0.1504020554007689, 0.11998962364547576, -0.10210217908994916, -0.04733262653058369, -0.04807945172069594, 0.35888211022312233, -0.20195799469042364, -0.37882889468326336, 0.035369319570438366, -0.25191404653661364, -0.03398452960780358, 0.16687761924953926, 0.018446150522019405, 0.013827421075903758, 0.02955875437085827, 0.011340799369564693, -0.05102752502554924, -0.3160619299661549, 0.2935773211566912, 0.10330308944038633, 0.2110992304321068, -0.12744838522889446, 0.08431330776107239, -0.07821485879928029, -0.09090679176410453, 0.05044613934458337, -0.2119014789530714, 0.0030262751186253605, 0.1690312558623393, 0.08983571129081408, 0.21076300440634238, -0.42255633218317395, -0.2141166139756226, 0.12986173934607198, 0.17220151199338338, 0.09645070352255264, -0.045956471465211104, -0.3401188839666752, 0.10782286722031939, -0.13785323781970268, -0.14471423784400234, 0.041861076389775716, -0.013646015742172798, 0.06441105398213647, -0.17154163809229633, 0.1875354579727476, -0.04060153504481908, 0.022284373964389995, -0.07662690929686909, -0.06279369640914309, -0.06684602896631178, 0.08165434156601098, 0.01742837983571614, 0.020254613551110703, 0.2338221875187527, -0.1579573252561709, -0.04273175912708717, 0.4586361224711355, -0.05857384541175432, -0.05740704129534101, 0.2224720340859171, -0.1915922173357103, -0.1700292291546551, 0.0711088196549099, 0.10599894226470497, 0.07183465703080098, -0.10159441052989375, 0.13360546507748142, -0.09881539153785626, 0.21145120203598505, 0.04761389254417736, 0.02466119034215808, 0.27430350810108295, 0.08683733826183015, 0.04827635407046829, 0.02044646530864864, -0.14262109214420585, -0.08747936227721059, -0.29076796206128264, -0.0817911591148004, -0.17088441369317783, 0.018189170583860284, -0.13970522932898652, -0.12341214584497114, 0.3385203322039969, 0.09828481793131989, 0.24776535630937563, 0.0807837491431403, 0.275690618592004, 0.0013549367746842715, 0.11246599656038193, 0.10115152543100218, 0.299772283139949, 0.13787899208869525, 0.06726119011808704, -0.25658954364674474, -0.003122486771543562, -0.008582233899990873] |
711.499 | Finding the growth rate of a regular language in polynomial time | We give an O(n^3+n^2 t) time algorithm to determine whether an NFA with n
states and t transitions accepts a language of polynomial or exponential
growth. We also show that given a DFA accepting a language of polynomial
growth, we can determine the order of polynomial growth in quadratic time.
| cs.DM cs.DS | we give an on3n2 t time algorithm to determine whether an nfa with n states and t transitions accepts a language of polynomial or exponential growth we also show that given a dfa accepting a language of polynomial growth we can determine the order of polynomial growth in quadratic time | [['we', 'give', 'an', 'on3n2', 't', 'time', 'algorithm', 'to', 'determine', 'whether', 'an', 'nfa', 'with', 'n', 'states', 'and', 't', 'transitions', 'accepts', 'a', 'language', 'of', 'polynomial', 'or', 'exponential', 'growth', 'we', 'also', 'show', 'that', 'given', 'a', 'dfa', 'accepting', 'a', 'language', 'of', 'polynomial', 'growth', 'we', 'can', 'determine', 'the', 'order', 'of', 'polynomial', 'growth', 'in', 'quadratic', 'time']] | [-0.15260571655722296, 0.14738898356124397, -0.10727893210453343, 0.07881575659373585, -0.06362868241053454, -0.16831385668329135, 0.06268746983640049, 0.3286102260272874, -0.3720837050706756, -0.27211604104852494, 0.060985747209217935, -0.23197880463332546, -0.11740466255732641, 0.18054252965090684, -0.015423413803230743, 0.08998945944619421, 0.012635641769334977, 0.12541190994789406, -0.03975808351984894, -0.3611880962793924, 0.24763358855734066, 3.642102285307281e-05, 0.15623202467603342, 0.02948867537233294, 0.10095931353921793, -0.05528732890035121, -0.003691794654848624, 0.01053566660503952, -0.19160336759300756, 0.0224949405944374, 0.27731059183727724, 0.2206153409669594, 0.2690528076218099, -0.4404160599319302, -0.0963259974057425, 0.2002341865124751, 0.14244486014263666, 0.1177505815914851, -0.04036173877325289, -0.16578727926374698, 0.11793446711179022, -0.12834282633753455, -0.09578529005984263, -0.06566319377066529, 0.1186825452866603, -0.020570972650454437, -0.3477131573397818, 0.0057870254285243925, 0.14714143748338127, 0.09613737630258713, -0.01813145734046643, -0.030581855519237568, 0.007484437175551239, 0.07284509281779887, -0.028366664576591278, 0.039301394456427316, 0.04424376016938869, -0.06775101528940153, -0.2304804359695741, 0.3390660973607886, -0.13025489013537536, -0.19536989714418138, 0.1831332237972897, -0.1725249734650157, -0.1489262058166787, 0.09709041115200641, 0.18039621713058074, 0.09692128648867412, -0.051405164831298956, 0.17675887435859983, -0.05507932846643487, 0.27847530936100046, 0.13405847063820278, -0.03801633237994143, 0.10587970262431369, 0.14043664654754862, 0.09595031662112367, 0.19168419421327357, 0.0180063360579768, -0.027492680529854735, -0.31324012683970587, -0.22468102685346894, -0.1928166639706006, 0.07247316946361061, -0.11286763878205401, -0.2490173661891295, 0.4181048737040588, 0.08563766963969992, 0.20640798654331236, 0.21672926590378797, 0.19814840099793307, 0.18192132661233143, 0.00013337419273293748, 0.1323516046495013, 0.03812210064153282, 0.04053816883539667, 0.04257097491538342, -0.27143833790050476, 0.15284300227744543, 0.12379544948664856] |
711.4991 | Laser experiments explore the hidden sector | Recently, the laser experiments BMV and GammeV, searching for light shining
through walls, have published data and calculated new limits on the allowed
masses and couplings for axion-like particles. In this note we point out that
these experiments can serve to constrain a much wider variety of hidden-sector
particles such as, e.g., minicharged particles and hidden-sector photons. The
new experiments improve the existing bounds from the older BFRT experiment by a
factor of two. Moreover, we use the new PVLAS constraints on a possible
rotation and ellipticity of light after it has passed through a strong magnetic
field to constrain pure minicharged particle models. For masses <~0.05 eV, the
charge is now restricted to be less than (3-4)x10^(-7) times the electron
electric charge. This is the best laboratory bound and comparable to bounds
inferred from the energy spectrum of the cosmic microwave background.
| hep-ph | recently the laser experiments bmv and gammev searching for light shining through walls have published data and calculated new limits on the allowed masses and couplings for axionlike particles in this note we point out that these experiments can serve to constrain a much wider variety of hiddensector particles such as eg minicharged particles and hiddensector photons the new experiments improve the existing bounds from the older bfrt experiment by a factor of two moreover we use the new pvlas constraints on a possible rotation and ellipticity of light after it has passed through a strong magnetic field to constrain pure minicharged particle models for masses 005 ev the charge is now restricted to be less than 34x107 times the electron electric charge this is the best laboratory bound and comparable to bounds inferred from the energy spectrum of the cosmic microwave background | [['recently', 'the', 'laser', 'experiments', 'bmv', 'and', 'gammev', 'searching', 'for', 'light', 'shining', 'through', 'walls', 'have', 'published', 'data', 'and', 'calculated', 'new', 'limits', 'on', 'the', 'allowed', 'masses', 'and', 'couplings', 'for', 'axionlike', 'particles', 'in', 'this', 'note', 'we', 'point', 'out', 'that', 'these', 'experiments', 'can', 'serve', 'to', 'constrain', 'a', 'much', 'wider', 'variety', 'of', 'hiddensector', 'particles', 'such', 'as', 'eg', 'minicharged', 'particles', 'and', 'hiddensector', 'photons', 'the', 'new', 'experiments', 'improve', 'the', 'existing', 'bounds', 'from', 'the', 'older', 'bfrt', 'experiment', 'by', 'a', 'factor', 'of', 'two', 'moreover', 'we', 'use', 'the', 'new', 'pvlas', 'constraints', 'on', 'a', 'possible', 'rotation', 'and', 'ellipticity', 'of', 'light', 'after', 'it', 'has', 'passed', 'through', 'a', 'strong', 'magnetic', 'field', 'to', 'constrain', 'pure', 'minicharged', 'particle', 'models', 'for', 'masses', '005', 'ev', 'the', 'charge', 'is', 'now', 'restricted', 'to', 'be', 'less', 'than', '34x107', 'times', 'the', 'electron', 'electric', 'charge', 'this', 'is', 'the', 'best', 'laboratory', 'bound', 'and', 'comparable', 'to', 'bounds', 'inferred', 'from', 'the', 'energy', 'spectrum', 'of', 'the', 'cosmic', 'microwave', 'background']] | [-0.05238439452926248, 0.23623808067370677, -0.0633836456567941, 0.10924514003989982, -0.09085276182478583, -0.12326290759808896, 0.07647533718706437, 0.3387662614630142, -0.191129222531921, -0.3919866031862166, 0.053469351147675336, -0.295024127476442, -0.01736357333105792, 0.2668971699329657, 0.0271004877728738, 0.0497706341786756, 0.04165510919181184, 0.007499267850530294, -0.03905445594270058, -0.22005046305040055, 0.25735573197098477, 0.11148533225059509, 0.24448691103049935, 0.09703150981525616, 0.08407683442363148, -0.025978616886431168, -0.03076272457510128, -0.02809940984564453, -0.15022863621822874, 0.08086314678485637, 0.15405924778635482, 0.10838361701626383, 0.14442610721641652, -0.4440445543699701, -0.20547886631077705, 0.1514418016911958, 0.14970493252898656, 0.10427219486913421, -0.1082542040139358, -0.3335646743636946, 0.03940882892667604, -0.14806331888916838, -0.11867456858269346, -0.041143430310012906, -0.0192623101756908, 0.008992632224657376, -0.2850989540260036, 0.046800518664203476, -0.008166463782889506, 0.0004961908058940538, -0.04408433907468554, -0.13712007337590862, -0.003149660338621429, 0.04583519668331448, 0.10292765403061475, 0.05651684505471461, 0.18810063042402478, -0.13256473389690296, -0.11662995339613932, 0.3939301196066007, -0.1137539972966204, -0.1514430330361149, 0.20513254145822737, -0.15336094884870863, -0.11953095859572502, 0.12416780882180524, 0.19005397331743487, 0.11684722155430945, -0.15776161114278603, 0.08520340729049, -0.05470089307448394, 0.18180229481326868, 0.07785220748685877, 0.05229412198630752, 0.2978042191190442, 0.16325398544374276, 0.05649672600466915, 0.07428928197633711, -0.12234335593734934, -0.023272055152452772, -0.265527053119641, -0.1321753963920727, -0.16172043811103565, 0.057841745137997815, -0.0918421581788005, -0.06281293111256468, 0.3707747250929816, 0.18241596910249913, 0.1836143431391462, 0.005962768368321327, 0.3041165970711851, 0.06547718444055366, 0.10381514598569558, 0.030788525324118073, 0.358726089757959, 0.12191874783938672, 0.09995040300459614, -0.1689776267207057, -0.012635675875443808, -0.016497804609481508] |
711.4992 | Isoscaling, Symmetry Energy and Thermodynamic Models | The isoscaling parameter usually denoted by $\alpha$ depends upon both the
symmetry energy coefficient and the isotopic contents of the dissociating
systems. We compute $\alpha$ in theoretical models: first in a simple mean
field model and then in thermodynamic models using both grand canonical and
canonical ensembles. For finite systems the canonical ensemble is much more
appropriate. The model values of $\alpha$ are compared with a much used
standard formula. Next we turn to cases where in experiments, there are
significant deviations from isoscaling. We show that in such cases, although
the grand canonical model fails, the canonical model is capable of explaining
the data.
| nucl-th | the isoscaling parameter usually denoted by alpha depends upon both the symmetry energy coefficient and the isotopic contents of the dissociating systems we compute alpha in theoretical models first in a simple mean field model and then in thermodynamic models using both grand canonical and canonical ensembles for finite systems the canonical ensemble is much more appropriate the model values of alpha are compared with a much used standard formula next we turn to cases where in experiments there are significant deviations from isoscaling we show that in such cases although the grand canonical model fails the canonical model is capable of explaining the data | [['the', 'isoscaling', 'parameter', 'usually', 'denoted', 'by', 'alpha', 'depends', 'upon', 'both', 'the', 'symmetry', 'energy', 'coefficient', 'and', 'the', 'isotopic', 'contents', 'of', 'the', 'dissociating', 'systems', 'we', 'compute', 'alpha', 'in', 'theoretical', 'models', 'first', 'in', 'a', 'simple', 'mean', 'field', 'model', 'and', 'then', 'in', 'thermodynamic', 'models', 'using', 'both', 'grand', 'canonical', 'and', 'canonical', 'ensembles', 'for', 'finite', 'systems', 'the', 'canonical', 'ensemble', 'is', 'much', 'more', 'appropriate', 'the', 'model', 'values', 'of', 'alpha', 'are', 'compared', 'with', 'a', 'much', 'used', 'standard', 'formula', 'next', 'we', 'turn', 'to', 'cases', 'where', 'in', 'experiments', 'there', 'are', 'significant', 'deviations', 'from', 'isoscaling', 'we', 'show', 'that', 'in', 'such', 'cases', 'although', 'the', 'grand', 'canonical', 'model', 'fails', 'the', 'canonical', 'model', 'is', 'capable', 'of', 'explaining', 'the', 'data']] | [-0.047326101295073475, 0.1448095511024197, -0.06427189831488898, 0.13751362694560418, 0.025367277066799858, -0.134004417833473, 0.02370517421513796, 0.3607732179619017, -0.22677378680202223, -0.28828450190346866, 0.019283194355444892, -0.28672917855326974, -0.15158605858062704, 0.19671088866889477, -0.02880715253718552, 0.06134459233324465, 0.024721044227702632, 0.0780583297745103, -0.12142177328600415, -0.1840279969431105, 0.3032362771530946, 0.10626176305647407, 0.2701963257754133, 0.0013033390965401417, 0.07836618402285413, -0.03469812724783662, 0.012339837374609142, 0.03978900448997766, -0.1464273741095288, 0.0806997831999546, 0.1854370710803778, 0.1178933596504586, 0.2023853686416433, -0.403226921494518, -0.2232668120236624, 0.18847732947518428, 0.11607137746399357, 0.10472502937717806, -0.02276872988371733, -0.18754815044147627, 0.0713511061914254, -0.17922569721759785, -0.09453376073478943, -0.10335854468423696, 0.006344615695776329, 0.03184396435196201, -0.30156732292047567, 0.0982939739733757, 0.04553622893013415, 0.06568160749350985, -0.08400493812348162, -0.1689746927026482, -0.01870376221126034, 0.08195586598788698, 0.0701666985150604, -7.279170677065849e-06, 0.13327545586286024, -0.15062558944558813, -0.05260808979205432, 0.43680782332306817, -0.08923794769992431, -0.21003176638679136, 0.15564606515690685, -0.13306301112419794, -0.1663029238359914, 0.087595044644106, 0.09877516608685255, 0.14612391300920752, -0.1171542917777385, 0.1278853773477576, -0.04387915122899271, 0.1788879214919039, 0.0002983543201394024, -0.039630094534229665, 0.19287069550759736, 0.1516652277116442, -0.00593708381722016, 0.10302276176267437, -0.06203733993073304, -0.18991584987157867, -0.29982594707537263, -0.13918103445099578, -0.15931254313105628, 0.023459690591941276, -0.11757655339717443, -0.1169749265037743, 0.3738678714349156, 0.16945591741906746, 0.23663100376725196, 0.05920274103769944, 0.2753289485527646, 0.1426635653933599, 0.07917302646895959, 0.03937687532355388, 0.23645261413462104, 0.11517817377378899, 0.03748856991573814, -0.20469472869299352, 0.04671491298913246, 0.07040142071255971] |
711.4993 | Majorana Neutrinos, Neutrino Mass Spectrum and the |<m>| ~ 0.001 eV
Frontier in Neutrinoless Double Beta Decay | If future neutrino oscillation experiments show that the neutrino mass
spectrum is with normal ordering, m1 < m2 < m3, and the searches for
neutrinoless double beta-decay with sensitivity to values of the effective
Majorana mass |<m>| > 0.01 eV give negative results, the next frontier in the
quest for neutrinoless double beta-decay will correspond to |<m>| ~ 0.001 eV.
Assuming that massive neutrinos are Majorana particles and their exchange is
the dominant mechanism generating neutrinoless double beta-decay, we analise
the conditions under which |<m>|, in the case of three neutrino mixing and
neutrino mass spectrum with normal ordering, would satisfy |<m>| > 0.001 eV. We
consider the specific cases of i) normal hierarchical neutrino mass spectrum,
ii) of relatively small value of the CHOOZ angle theta13 as well as iii) the
general case of spectrum with normal ordering, partial hierarchy and a value of
theta13 close to the existing upper limit. We study the ranges of the lightest
neutrino mass m1 and/or of sin^2 theta13, for which |<m>|> 0.001 eV and discuss
the phenomenological implications of such scenarios. We provide also an
estimate of |<m>| when the three neutrino masses and the neutrino mixing
originate from neutrino mass term of Majorana type for the (left-handed)
flavour neutrinos and m1 Ue1^2 + m2 U_e2^2 + m3 Ue3^2 =0, but there does not
exist a symmetry which forbids the neutrinoless double beta-decay.
| hep-ph | if future neutrino oscillation experiments show that the neutrino mass spectrum is with normal ordering m1 m2 m3 and the searches for neutrinoless double betadecay with sensitivity to values of the effective majorana mass m 001 ev give negative results the next frontier in the quest for neutrinoless double betadecay will correspond to m 0001 ev assuming that massive neutrinos are majorana particles and their exchange is the dominant mechanism generating neutrinoless double betadecay we analise the conditions under which m in the case of three neutrino mixing and neutrino mass spectrum with normal ordering would satisfy m 0001 ev we consider the specific cases of i normal hierarchical neutrino mass spectrum ii of relatively small value of the chooz angle theta13 as well as iii the general case of spectrum with normal ordering partial hierarchy and a value of theta13 close to the existing upper limit we study the ranges of the lightest neutrino mass m1 andor of sin2 theta13 for which m 0001 ev and discuss the phenomenological implications of such scenarios we provide also an estimate of m when the three neutrino masses and the neutrino mixing originate from neutrino mass term of majorana type for the lefthanded flavour neutrinos and m1 ue12 m2 u_e22 m3 ue32 0 but there does not exist a symmetry which forbids the neutrinoless double betadecay | [['if', 'future', 'neutrino', 'oscillation', 'experiments', 'show', 'that', 'the', 'neutrino', 'mass', 'spectrum', 'is', 'with', 'normal', 'ordering', 'm1', 'm2', 'm3', 'and', 'the', 'searches', 'for', 'neutrinoless', 'double', 'betadecay', 'with', 'sensitivity', 'to', 'values', 'of', 'the', 'effective', 'majorana', 'mass', 'm', '001', 'ev', 'give', 'negative', 'results', 'the', 'next', 'frontier', 'in', 'the', 'quest', 'for', 'neutrinoless', 'double', 'betadecay', 'will', 'correspond', 'to', 'm', '0001', 'ev', 'assuming', 'that', 'massive', 'neutrinos', 'are', 'majorana', 'particles', 'and', 'their', 'exchange', 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711.4994 | Near threshold production of the pseudoscalar mesons at the COSY-11
facility | We summarise measurements of the COSY-11 collaboration concerning the
excitation functions of the near threshold pseudoscalar meson production in the
proton-proton interaction. The results are discussed in the context of the
meson-nucleon and hyperon-nucleon interactions. We conclude that the
$\eta$-proton interaction is significantly stronger than the eta'-proton
interaction. Similarly, we found that the hyperon Lambda interacts with the
nucleon considerably stronger than the hyperon Sigma, and that the interaction
of (K-)-proton is much stronger than this of the (K+)-proton.
| nucl-ex | we summarise measurements of the cosy11 collaboration concerning the excitation functions of the near threshold pseudoscalar meson production in the protonproton interaction the results are discussed in the context of the mesonnucleon and hyperonnucleon interactions we conclude that the etaproton interaction is significantly stronger than the etaproton interaction similarly we found that the hyperon lambda interacts with the nucleon considerably stronger than the hyperon sigma and that the interaction of kproton is much stronger than this of the kproton | [['we', 'summarise', 'measurements', 'of', 'the', 'cosy11', 'collaboration', 'concerning', 'the', 'excitation', 'functions', 'of', 'the', 'near', 'threshold', 'pseudoscalar', 'meson', 'production', 'in', 'the', 'protonproton', 'interaction', 'the', 'results', 'are', 'discussed', 'in', 'the', 'context', 'of', 'the', 'mesonnucleon', 'and', 'hyperonnucleon', 'interactions', 'we', 'conclude', 'that', 'the', 'etaproton', 'interaction', 'is', 'significantly', 'stronger', 'than', 'the', 'etaproton', 'interaction', 'similarly', 'we', 'found', 'that', 'the', 'hyperon', 'lambda', 'interacts', 'with', 'the', 'nucleon', 'considerably', 'stronger', 'than', 'the', 'hyperon', 'sigma', 'and', 'that', 'the', 'interaction', 'of', 'kproton', 'is', 'much', 'stronger', 'than', 'this', 'of', 'the', 'kproton']] | [-0.11596997666078372, 0.23161402942990011, -0.062138746655398765, 0.16804606686316761, -0.05691627850402382, -0.08723109913400456, 0.009341413956842844, 0.31650739483818224, -0.15331037172788306, -0.22987804052573216, -0.070266076572876, -0.3668501955645654, -0.053323370460538734, 0.13004091292431083, 0.13091385909474065, -0.01933422269111004, 0.09614732012276456, 0.09907669014639303, -0.0448202573074635, -0.17897257911442202, 0.3805907046115851, 0.10545340528169388, 0.2004990868411864, 0.17635726808464225, -0.024601581624320037, 0.06425471495412573, -0.018890743782667183, -0.034907389880169795, -0.14795857345929614, 0.1261439951191232, 0.15654587523740587, 0.059504884318743324, 0.1725837436940851, -0.402533035631044, -0.15262010889540462, 0.11406476253384276, 0.16661888072738731, 0.12069374252157876, -0.036484659602276134, -0.3321644787711999, 0.07926908565119287, -0.20808113329819863, -0.1092872864837888, -0.018134265056445817, 0.025204687809595203, 0.017754466508668434, -0.28628541025792875, 0.0744680890259392, 0.019188382203065898, 0.03599851055341902, -0.11151261337962048, -0.2425888735871715, -0.058734467919161426, -0.0013809716211089604, 0.10181787956942202, 0.13315385584778425, 0.15331582405569055, -0.2313646170652554, -0.0562483149969691, 0.3904586633950283, -0.06740845508171286, -0.14794498012412952, 0.17700723049163086, -0.20939239053220687, -0.12557243830023357, 0.10201159025294872, 0.14230032888524047, 0.07845197719392143, -0.1549896633258396, 0.06875087715585163, -0.06232177182778575, 0.20728388694822317, 0.0826022543331396, 0.08255138926655997, 0.08930368136756028, 0.20369169170249113, 0.0022369674348001237, 0.0998526348207806, -0.06561409665530996, -0.10416448876686112, -0.3218307164556618, -0.06738785154457334, -0.09443606635779614, 0.03088609381030679, -0.08736273985837964, -0.007264545476181975, 0.3774318840661192, 0.15485551441677764, 0.19427137626401336, 0.034496107185848904, 0.28845847746993925, 0.1275067750291414, 0.09926005076805625, 0.04338251882161992, 0.3995990201866231, 0.17877875269343488, 0.11891200744747361, -0.29272170824034116, 0.07893147858897154, 0.00017243010416343997] |
711.4995 | Vigorous star formation with low efficiency in massive disk galaxies at
z=1.5 | We present the first detection of molecular gas cooling CO emission lines
from ordinary massive galaxies at z=1.5. Two sources were observed with the
IRAM Plateau de Bure Interferometer, selected to lie in the mass-star formation
rate correlation at their redshift, thus being representative of massive high-z
galaxies. Both sources were detected with high confidence, yielding
L'_CO~10^{10}K km/s pc^2. For one of the sources we find evidence for velocity
shear, implying CO sizes of ~10 kpc. With an infrared luminosity of
L_FIR~10^{12}L_sun, these disk-like galaxies are borderline ULIRGs but with
star formation efficiency similar to that of local spirals, and an order of
magnitude lower than that in submm galaxies. This suggests a CO to total gas
conversion factor similar to local spirals, gas consumption timescales
approaching 1 Gyr or longer and molecular gas masses reaching ~10^11 M_sun,
comparable to or larger than the estimated stellar masses. These results
support a major role of 'in situ' gas consumption over cosmological timescales
and with relatively low star formation efficiency, analogous to that of local
spiral disks, for the formation of today's most massive galaxies and their
central black holes. Given the high space density of similar galaxies,
~10^{-4}/Mpc^3, this implies a widespread presence of gas rich galaxies in the
early Universe, many of which might be within reach of detailed investigations
of current and planned facilities.
| astro-ph | we present the first detection of molecular gas cooling co emission lines from ordinary massive galaxies at z15 two sources were observed with the iram plateau de bure interferometer selected to lie in the massstar formation rate correlation at their redshift thus being representative of massive highz galaxies both sources were detected with high confidence yielding l_co1010k kms pc2 for one of the sources we find evidence for velocity shear implying co sizes of 10 kpc with an infrared luminosity of l_fir1012l_sun these disklike galaxies are borderline ulirgs but with star formation efficiency similar to that of local spirals and an order of magnitude lower than that in submm galaxies this suggests a co to total gas conversion factor similar to local spirals gas consumption timescales approaching 1 gyr or longer and molecular gas masses reaching 1011 m_sun comparable to or larger than the estimated stellar masses these results support a major role of in situ gas consumption over cosmological timescales and with relatively low star formation efficiency analogous to that of local spiral disks for the formation of todays most massive galaxies and their central black holes given the high space density of similar galaxies 104mpc3 this implies a widespread presence of gas rich galaxies in the early universe many of which might be within reach of detailed investigations of current and planned facilities | [['we', 'present', 'the', 'first', 'detection', 'of', 'molecular', 'gas', 'cooling', 'co', 'emission', 'lines', 'from', 'ordinary', 'massive', 'galaxies', 'at', 'z15', 'two', 'sources', 'were', 'observed', 'with', 'the', 'iram', 'plateau', 'de', 'bure', 'interferometer', 'selected', 'to', 'lie', 'in', 'the', 'massstar', 'formation', 'rate', 'correlation', 'at', 'their', 'redshift', 'thus', 'being', 'representative', 'of', 'massive', 'highz', 'galaxies', 'both', 'sources', 'were', 'detected', 'with', 'high', 'confidence', 'yielding', 'l_co1010k', 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711.4996 | Dark Matter Candidates: A Ten-Point Test | An extraordinarily rich zoo of non-baryonic Dark Matter candidates has been
proposed over the last three decades. Here we present a 10-point test that a
new particle has to pass, in order to be considered a viable DM candidate: I.)
Does it match the appropriate relic density? II.) Is it {\it cold}? III.) Is it
neutral? IV.) Is it consistent with BBN? V.) Does it leave stellar evolution
unchanged? VI.) Is it compatible with constraints on self-interactions? VII.)
Is it consistent with {\it direct} DM searches? VIII.) Is it compatible with
gamma-ray constraints? IX.) Is it compatible with other astrophysical bounds?
X.) Can it be probed experimentally?
| astro-ph hep-ph hep-th | an extraordinarily rich zoo of nonbaryonic dark matter candidates has been proposed over the last three decades here we present a 10point test that a new particle has to pass in order to be considered a viable dm candidate i does it match the appropriate relic density ii is it it cold iii is it neutral iv is it consistent with bbn v does it leave stellar evolution unchanged vi is it compatible with constraints on selfinteractions vii is it consistent with it direct dm searches viii is it compatible with gammaray constraints ix is it compatible with other astrophysical bounds x can it be probed experimentally | [['an', 'extraordinarily', 'rich', 'zoo', 'of', 'nonbaryonic', 'dark', 'matter', 'candidates', 'has', 'been', 'proposed', 'over', 'the', 'last', 'three', 'decades', 'here', 'we', 'present', 'a', '10point', 'test', 'that', 'a', 'new', 'particle', 'has', 'to', 'pass', 'in', 'order', 'to', 'be', 'considered', 'a', 'viable', 'dm', 'candidate', 'i', 'does', 'it', 'match', 'the', 'appropriate', 'relic', 'density', 'ii', 'is', 'it', 'it', 'cold', 'iii', 'is', 'it', 'neutral', 'iv', 'is', 'it', 'consistent', 'with', 'bbn', 'v', 'does', 'it', 'leave', 'stellar', 'evolution', 'unchanged', 'vi', 'is', 'it', 'compatible', 'with', 'constraints', 'on', 'selfinteractions', 'vii', 'is', 'it', 'consistent', 'with', 'it', 'direct', 'dm', 'searches', 'viii', 'is', 'it', 'compatible', 'with', 'gammaray', 'constraints', 'ix', 'is', 'it', 'compatible', 'with', 'other', 'astrophysical', 'bounds', 'x', 'can', 'it', 'be', 'probed', 'experimentally']] | [-0.07526582128707772, 0.13747483774463137, -0.10134992482266868, 0.12326425916806873, -0.17025906857207557, -0.21487581892652768, -0.030856074174544033, 0.41852536648250765, -0.19035364079036723, -0.3441321136273235, 0.07210689436570332, -0.2847295117120598, -0.04958024219322567, 0.18948049010452162, 0.02210846715650269, -0.013843130024376317, 0.03339233913972417, 0.03616938297419208, -0.03352665029265962, -0.3196928758047974, 0.2575335945481452, 0.0917615330991309, 0.1871497168458093, 0.017852266884852794, 0.09846350590689718, -0.08785900624172989, -0.05001334122286361, 0.021776791949208094, -0.12695607339135626, 0.041547242556393985, 0.22306408504052436, 0.18549382671818276, 0.13933593323062582, -0.3474124044758729, -0.2190953000648835, 0.16575164212975826, 0.13712091654295397, 0.08868864197139824, -0.09861733813696132, -0.2960288029895208, 0.09463132029534187, -0.21247552651542057, -0.12398055857743755, -0.030486852727029647, 0.08646746333166261, -0.03528398679238613, -0.23896461601638905, 0.08167933917682722, -0.016301045638169642, -0.08825416709666323, -0.04994684384665757, -0.08771321652527837, -0.03803987746240101, -0.01661086198656219, 0.052282758242076385, 0.04098928754574785, 0.13676931065394082, -0.12698342404181406, -0.03437145128323932, 0.43193911430295384, -0.10842762353164187, -0.10069717235306155, 0.2372596727893035, -0.10845703067188368, -0.19663849436878184, 0.1806595396472437, 0.02193153198051188, 0.08547791387563763, -0.13949070688963772, 0.18164912170391076, -0.09979429802091391, 0.20266343717176083, 0.011803908543400118, 0.015076858335322588, 0.32844828251992986, 0.19283869919132127, 0.09275559080050927, -0.02576704133708883, -0.10371745515954202, -0.04904436839909824, -0.3399086968503266, -0.16883058099198006, -0.14461418949763907, 0.045070257752145876, -0.024884226417253838, -0.12253481838917447, 0.31419500983624815, 0.13797109363879137, 0.17671298210413378, -0.03633424405565607, 0.296715059382928, 0.1297216466497456, 0.1101740056727186, 0.07187653560556959, 0.337529111200961, 0.14390109110597485, 0.08295985984846636, -0.1646643287010456, 0.10747762585807348, -0.06926306387601054] |
711.4997 | Highest-Energy Cosmic Rays and Hilbertian Repulsive Effect | We point out that an important portion of the high energy of the cosmic rays
from extragalactic sources can be attributed to a Hilbertian repulsive effect,
which is a consequence of Einstein equations without cosmological term.
| physics.gen-ph | we point out that an important portion of the high energy of the cosmic rays from extragalactic sources can be attributed to a hilbertian repulsive effect which is a consequence of einstein equations without cosmological term | [['we', 'point', 'out', 'that', 'an', 'important', 'portion', 'of', 'the', 'high', 'energy', 'of', 'the', 'cosmic', 'rays', 'from', 'extragalactic', 'sources', 'can', 'be', 'attributed', 'to', 'a', 'hilbertian', 'repulsive', 'effect', 'which', 'is', 'a', 'consequence', 'of', 'einstein', 'equations', 'without', 'cosmological', 'term']] | [-0.13787103798757824, 0.11986993653287452, -0.13107017742004246, 0.14189975759493084, -0.12385358620021078, -0.03490653853966958, -0.005527594579487211, 0.3130922990126742, -0.27950870701008373, -0.2872162162740197, 0.008197935472708195, -0.31304382380201584, -0.06727547115749782, 0.20199846484077474, -0.012455869310845932, -0.05177008047596448, 0.035367726193120085, 0.008045295279266106, -0.003003561190174272, -0.23767577583203092, 0.3704026244166825, 0.18495922266609138, 0.2003784593479294, 0.09805367654189467, 0.17986889015365806, -0.09549785109831849, -0.025781208649277687, 0.06661955792353386, -0.07127797086953554, 0.02022870099042646, 0.248110703089171, 0.03717470564879477, 0.2638213426495592, -0.4009802551008761, -0.2880065930593345, 0.20365752657461497, 0.16034072797952426, 0.1328895202831417, -0.0533194109900958, -0.3186004467618962, 0.056254063952817686, -0.15488529262236422, -0.16665428152514827, -0.0021588687991930377, -0.038129744896044336, 0.014469905963374509, -0.2137891419050801, 0.11084771178300595, 0.0612270169529236, 0.013239109086700611, -0.13220985482136408, -0.05873220763169229, -0.0002090332822667228, 0.07983539618241291, 0.1042051753287928, 0.09235570209825204, 0.11942749395449129, -0.14921838257254827, -0.047177664547537766, 0.4517536001900832, -0.14948050488924813, -0.17455224643668366, 0.13513410363682649, -0.12284742443201442, -0.11927033030790174, 0.1989258617783586, 0.15697974945780718, 0.08552930460104512, -0.1869220727433761, 0.1158833173621032, 0.02075986028648913, 0.20341553839534754, 0.058135035551256604, 0.04293049831822929, 0.3434656821191311, 0.0735701886523101, 0.10372476595350438, 0.1353007560408312, -0.11565910321142939, -0.022484999460478623, -0.3629397286309136, -0.12705691386428145, -0.1952519129651288, 0.20570024829875264, -0.15377669080367518, -0.16642060049182167, 0.2968610187785493, 0.12617518075664216, 0.16463698536002389, -0.03858115306421597, 0.26425783620733356, 0.08549464435782284, 0.08840283690693064, 0.0654934219783172, 0.31155428833638626, 0.09604994805219273, 0.08672709257290181, -0.1770955848106597, 0.021804194173051253, 0.050302697707795434] |
711.4998 | Dynamics of the near threshold eta meson production in proton-proton
interaction | We present the results of measurements of the analysing power for the p(pol)p
--> pp eta reaction at the excess energies of Q=10 and 36 MeV, and interpret
these results within the framework of the meson exchange models. The determined
values of the analysing power at both excess energies are consistent with zero
implying that the eta meson is produced predominantly in s-wave.
| nucl-ex | we present the results of measurements of the analysing power for the ppolp pp eta reaction at the excess energies of q10 and 36 mev and interpret these results within the framework of the meson exchange models the determined values of the analysing power at both excess energies are consistent with zero implying that the eta meson is produced predominantly in swave | [['we', 'present', 'the', 'results', 'of', 'measurements', 'of', 'the', 'analysing', 'power', 'for', 'the', 'ppolp', 'pp', 'eta', 'reaction', 'at', 'the', 'excess', 'energies', 'of', 'q10', 'and', '36', 'mev', 'and', 'interpret', 'these', 'results', 'within', 'the', 'framework', 'of', 'the', 'meson', 'exchange', 'models', 'the', 'determined', 'values', 'of', 'the', 'analysing', 'power', 'at', 'both', 'excess', 'energies', 'are', 'consistent', 'with', 'zero', 'implying', 'that', 'the', 'eta', 'meson', 'is', 'produced', 'predominantly', 'in', 'swave']] | [-0.09117195197200824, 0.2117404048781722, -0.07225618306068599, 0.09247048518567856, 0.052310060545888486, -0.09238717163492355, 0.06818613035589337, 0.3251437818624019, -0.19510802306655434, -0.311081565135429, -0.035016790184477765, -0.3660693791424555, 0.023276783525943756, 0.18173437673718698, 0.10815404174894455, 0.041789227696896095, 0.0623951350383821, 0.04380566665091582, -0.03832424498508654, -0.14388951517626522, 0.3204170733149494, 0.08971896485590766, 0.21399216220203426, 0.1413414293164087, 0.03060853187625687, 0.003001114300962898, -0.061644453127237576, -0.021079206989417152, -0.1356737194175601, 0.12633005585972099, 0.24773668421456083, 0.022073898614654617, 0.12358248229288767, -0.32880143610940826, -0.15384712288035982, 0.1299612182492931, 0.11623978491632207, 0.055193833105506435, -0.014965180788309343, -0.2531256818723294, 0.15754718141209695, -0.17922306676665622, -0.13355232341094844, -0.04855333044824581, 0.0027673979319872396, 0.010550275595197755, -0.3013014568376445, 0.13514312790826924, -0.010063478756027536, 0.1008237679038317, -0.1478793290969465, -0.22921707013982437, -0.05212102083098744, 0.03481268543269365, 0.125450829941509, 0.051128699131133486, 0.144847463733787, -0.15044088000825967, -0.11698907420730158, 0.3706939333238669, -0.07458865221574783, -0.0820642212314734, 0.14784950817063933, -0.18224983044990128, -0.11739212758989344, 0.18716866492984757, 0.1587021095798381, 0.04984204903725655, -0.15272875532748237, 0.07139329070548317, 0.009090594797124785, 0.1502191489862819, 0.06807375153631813, 0.04266489947763001, 0.18564887777451547, 0.14213880520847236, -0.08437360645902733, 0.06769069722072492, -0.15582816891612544, -0.08633786343759106, -0.3556575886154127, -0.09011819025111054, -0.12027505647030569, 0.04221369010478919, -0.08298185447394292, -0.017624850475019025, 0.3662218328925871, 0.07753182245388386, 0.29707648319702956, 0.06133360517842154, 0.27254637064892917, 0.16915417635144905, 0.07084739726832917, 0.11324134899393445, 0.32781370389725895, 0.16695860540494323, 0.14845202271375926, -0.2621607110279823, 0.033804419195099224, -0.036502876334012516] |
711.4999 | On the Ramsey multiplicity of complete graphs | We show that, for $n$ large, there must exist at least
\[\frac{n^t}{C^{(1+o(1))t^2}}\] monochromatic $K_t$s in any two-colouring of
the edges of $K_n$, where $C \approx 2.18$ is an explicitly defined constant.
The old lower bound, due to Erd\H{o}s \cite{E62}, and based upon the standard
bounds for Ramsey's theorem, is \[\frac{n^t}{4^{(1+o(1))t^2}}.\]
| math.CO | we show that for n large there must exist at least fracntc1o1t2 monochromatic k_ts in any twocolouring of the edges of k_n where c approx 218 is an explicitly defined constant the old lower bound due to erdhos citee62 and based upon the standard bounds for ramseys theorem is fracnt41o1t2 | [['we', 'show', 'that', 'for', 'n', 'large', 'there', 'must', 'exist', 'at', 'least', 'fracntc1o1t2', 'monochromatic', 'k_ts', 'in', 'any', 'twocolouring', 'of', 'the', 'edges', 'of', 'k_n', 'where', 'c', 'approx', '218', 'is', 'an', 'explicitly', 'defined', 'constant', 'the', 'old', 'lower', 'bound', 'due', 'to', 'erdhos', 'citee62', 'and', 'based', 'upon', 'the', 'standard', 'bounds', 'for', 'ramseys', 'theorem', 'is', 'fracnt41o1t2']] | [-0.13651300835958186, 0.20331787878054225, -0.04761680541560054, 0.039649805673299, -0.026561870427921096, -0.16650447891430653, 0.07068625245084788, 0.30894276594862025, -0.2029992735924873, -0.35229620476193885, 0.08180633052301771, -0.32358503078378026, -0.07492899863505141, 0.18326615938480864, -0.09604013703287916, -0.002108592007487537, 0.027327196474405045, 0.07857394544407725, 0.015994559532586248, -0.2860976244679632, 0.2640907599471827, -0.06091609204861712, 0.19194198554342098, 0.17232572061425827, 0.06308382279933133, 0.01772946749685055, 0.028748745019448563, 0.007649006331933939, -0.20037158757545415, 0.06276850506138215, 0.22191809318920083, 0.1615153326395344, 0.2894090955205103, -0.3851039596694581, -0.09752165046619608, 0.20089160664839315, 0.15852389266674824, 0.06560796643904548, -0.009805990997305575, -0.17624991510974916, 0.1864663872947084, -0.049573913771421355, -0.11164398061388985, 0.030240122427014595, 0.12407775583894963, -0.029019610342034634, -0.28488717695817034, 0.036761258486063875, 0.14369995230214394, 0.059551662052089865, 0.014140988977507074, -0.20937801467532174, -0.020113474798408595, 0.07464079046621919, 0.007169413073186545, 0.11358106282955789, 0.010205851045456972, -0.0998024486520506, -0.12231898640822421, 0.34215113580068374, -0.12430550452777521, -0.11055794572259517, 0.13953198612905404, -0.14090775086623716, -0.16178713464475375, 0.12413464201257583, 0.07821576867965942, 0.16548230246383142, -0.058526685302878946, 0.17122378245001024, -0.13704532289510948, 0.18318014219403267, 0.16961041584293893, 0.02880721032976153, 0.12186928487759321, 0.0641880545150885, 0.16295433819214714, 0.10663947784044642, -0.03559530538288837, -0.0023021489342159415, -0.3199715031746854, -0.12140140569139708, -0.24705391781444244, 0.1042186692555217, -0.16593208939717596, -0.18880828848217635, 0.2785243324023929, 0.0953383447324976, 0.199662747178623, 0.10792169126464014, 0.24168339361773528, 0.1369081299969966, 0.0702097535187854, 0.21085120121294515, 0.21011992444858907, 0.1354502837986071, -0.07482089011117499, -0.12875384037714807, 0.03793147830490736, 0.10769335511437755] |
711.5 | Critical temperature for first-order phase transitions in confined
systems | We consider the Euclidean $D$-dimensional $-\lambda |\phi |^4+\eta |\phi |^6$
($\lambda ,\eta >0 $) model with $d$ ($d\leq D$) compactified dimensions.
Introducing temperature by means of the Ginzburg--Landau prescription in the
mass term of the Hamiltonian, this model can be interpreted as describing a
first-order phase transition for a system in a region of the $D$-dimensional
space, limited by $d$ pairs of parallel planes, orthogonal to the coordinates
axis $x_1, x_2, ..., x_d$. The planes in each pair are separated by distances
$L_1, L_2, ..., L_d$. We obtain an expression for the transition temperature as
a function of the size of the system, $% T_c(\{L_i\})$, $i=1, 2, ..., d$. For
D=3 we particularize this formula, taking $L_1=L_2=... =L_d=L$ for the
physically interesting cases $d=1$ (a film), $d=2$ (an infinitely long wire
having a square cross-section), and for $d=3$ (a cube). For completeness, the
corresponding formulas for second-order transitions are also presented.
Comparison with experimental data for superconducting films and wires shows
qualitative agreement with our theoretical expressions
| cond-mat.soft cond-mat.supr-con hep-ph hep-th | we consider the euclidean ddimensional lambda phi 4eta phi 6 lambda eta 0 model with d dleq d compactified dimensions introducing temperature by means of the ginzburglandau prescription in the mass term of the hamiltonian this model can be interpreted as describing a firstorder phase transition for a system in a region of the ddimensional space limited by d pairs of parallel planes orthogonal to the coordinates axis x_1 x_2 x_d the planes in each pair are separated by distances l_1 l_2 l_d we obtain an expression for the transition temperature as a function of the size of the system t_cl_i i1 2 d for d3 we particularize this formula taking l_1l_2 l_dl for the physically interesting cases d1 a film d2 an infinitely long wire having a square crosssection and for d3 a cube for completeness the corresponding formulas for secondorder transitions are also presented comparison with experimental data for superconducting films and wires shows qualitative agreement with our theoretical expressions | [['we', 'consider', 'the', 'euclidean', 'ddimensional', 'lambda', 'phi', '4eta', 'phi', '6', 'lambda', 'eta', '0', 'model', 'with', 'd', 'dleq', 'd', 'compactified', 'dimensions', 'introducing', 'temperature', 'by', 'means', 'of', 'the', 'ginzburglandau', 'prescription', 'in', 'the', 'mass', 'term', 'of', 'the', 'hamiltonian', 'this', 'model', 'can', 'be', 'interpreted', 'as', 'describing', 'a', 'firstorder', 'phase', 'transition', 'for', 'a', 'system', 'in', 'a', 'region', 'of', 'the', 'ddimensional', 'space', 'limited', 'by', 'd', 'pairs', 'of', 'parallel', 'planes', 'orthogonal', 'to', 'the', 'coordinates', 'axis', 'x_1', 'x_2', 'x_d', 'the', 'planes', 'in', 'each', 'pair', 'are', 'separated', 'by', 'distances', 'l_1', 'l_2', 'l_d', 'we', 'obtain', 'an', 'expression', 'for', 'the', 'transition', 'temperature', 'as', 'a', 'function', 'of', 'the', 'size', 'of', 'the', 'system', 't_cl_i', 'i1', '2', 'd', 'for', 'd3', 'we', 'particularize', 'this', 'formula', 'taking', 'l_1l_2', 'l_dl', 'for', 'the', 'physically', 'interesting', 'cases', 'd1', 'a', 'film', 'd2', 'an', 'infinitely', 'long', 'wire', 'having', 'a', 'square', 'crosssection', 'and', 'for', 'd3', 'a', 'cube', 'for', 'completeness', 'the', 'corresponding', 'formulas', 'for', 'secondorder', 'transitions', 'are', 'also', 'presented', 'comparison', 'with', 'experimental', 'data', 'for', 'superconducting', 'films', 'and', 'wires', 'shows', 'qualitative', 'agreement', 'with', 'our', 'theoretical', 'expressions']] | [-0.18987422733096868, 0.1435261085351604, -0.03431545125112617, 0.04451409992161529, 0.01665010600447444, -0.19247402089542515, 0.020825471389312414, 0.3712267658875306, -0.22170558119333297, -0.22679441216044455, 0.05376103025811297, -0.3072078713163171, -0.06457725727825232, 0.16251287699981634, 0.016229665904352004, 0.04729615345761274, 0.001989633574168075, 0.05804890422619083, -0.11732330978935901, -0.21714874567997014, 0.28997189768314735, -0.04876849677929151, 0.1996792151750821, 0.02540293282466068, 0.07984216421412058, 0.0322159722190403, 0.0536024155953325, 0.02807290999006446, -0.22240763756815554, 0.07000213978100428, 0.2303406025411901, 0.037175303758502753, 0.1702641558265255, -0.3654691003989311, -0.18066378989778226, 0.1028813778908935, 0.18098453181625912, 0.0791207863905309, 0.017147796029377285, -0.2774456702304547, 0.04534367523112176, -0.1245194287830085, -0.18342747915618168, -0.050656764346333046, 0.11493418456799111, -0.01201037669542638, -0.3253242631835289, 0.07778793918616841, 0.09144841137110789, 0.09723650047803772, -0.04752083427606607, -0.16118638760867124, -0.025225673214354517, 0.06500896768433587, 0.023423775905339082, 0.11123682905293111, 0.05421545827005691, -0.07083894211049162, -0.09237212918438134, 0.3572774741611203, -0.06393684752713069, -0.24109331262737232, 0.10482626019994605, -0.15280454218022982, -0.07491379487712621, 0.13986913312179675, 0.11056088129426031, 0.14047337169158594, -0.11563064894234797, 0.15079217030499834, -0.04879459553784778, 0.1731388655128016, 0.09561701408007516, 0.019903911463211587, 0.19239212704878067, 0.13595562394263236, 0.023869643652659353, 0.16294823170993947, -0.08654575871081098, -0.08791585875171348, -0.39047162534680757, -0.16015128171329135, -0.17902268293173104, 0.06320995018442613, -0.19197341585557456, -0.13638478190690842, 0.2799702550214276, 0.06433333724198288, 0.2708640782947435, 0.06162889804632503, 0.24851322473123275, 0.10778727522046662, 0.02976631531901892, 0.04287473124059491, 0.1723552662833468, 0.1483879600821426, 0.07279766858818959, -0.2004872481309393, -0.007312496104892695, 0.1053604363352529] |
711.5001 | Complex hyperbolic hyperplane complements | We study spaces obtained from a complete finite volume complex hyperbolic
n-manifold M by removing a compact totally geodesic complex (n-1)-submanifold.
The main result is that the fundamental group of M-S is relatively hyperbolic,
relative to fundamental groups of the ends of M-S, and M-S admits a complete
finite volume A-regular Riemannian metric of negative sectional curvature. It
follows that for n>1 the fundamental group of M-S satisfies Mostow-type
Rigidity, has finite asymptotic dimension and rapid decay property, satisfies
Borel and Baum-Connes conjectures, is co-Hopf and residually hyperbolic, has no
nontrivial subgroups with property (T), and has finite outer automorphism
group. Furthermore, if M is compact, then the fundamental group of M-S is
biautomatic and satisfies Strong Tits Alternative.
| math.GR math.AT math.DG | we study spaces obtained from a complete finite volume complex hyperbolic nmanifold m by removing a compact totally geodesic complex n1submanifold the main result is that the fundamental group of ms is relatively hyperbolic relative to fundamental groups of the ends of ms and ms admits a complete finite volume aregular riemannian metric of negative sectional curvature it follows that for n1 the fundamental group of ms satisfies mostowtype rigidity has finite asymptotic dimension and rapid decay property satisfies borel and baumconnes conjectures is cohopf and residually hyperbolic has no nontrivial subgroups with property t and has finite outer automorphism group furthermore if m is compact then the fundamental group of ms is biautomatic and satisfies strong tits alternative | [['we', 'study', 'spaces', 'obtained', 'from', 'a', 'complete', 'finite', 'volume', 'complex', 'hyperbolic', 'nmanifold', 'm', 'by', 'removing', 'a', 'compact', 'totally', 'geodesic', 'complex', 'n1submanifold', 'the', 'main', 'result', 'is', 'that', 'the', 'fundamental', 'group', 'of', 'ms', 'is', 'relatively', 'hyperbolic', 'relative', 'to', 'fundamental', 'groups', 'of', 'the', 'ends', 'of', 'ms', 'and', 'ms', 'admits', 'a', 'complete', 'finite', 'volume', 'aregular', 'riemannian', 'metric', 'of', 'negative', 'sectional', 'curvature', 'it', 'follows', 'that', 'for', 'n1', 'the', 'fundamental', 'group', 'of', 'ms', 'satisfies', 'mostowtype', 'rigidity', 'has', 'finite', 'asymptotic', 'dimension', 'and', 'rapid', 'decay', 'property', 'satisfies', 'borel', 'and', 'baumconnes', 'conjectures', 'is', 'cohopf', 'and', 'residually', 'hyperbolic', 'has', 'no', 'nontrivial', 'subgroups', 'with', 'property', 't', 'and', 'has', 'finite', 'outer', 'automorphism', 'group', 'furthermore', 'if', 'm', 'is', 'compact', 'then', 'the', 'fundamental', 'group', 'of', 'ms', 'is', 'biautomatic', 'and', 'satisfies', 'strong', 'tits', 'alternative']] | [-0.20774401015498573, 0.17913932400819266, -0.14449075181196389, 0.06038387672693078, -0.1710210102928691, -0.15045547313813087, 0.0014338664547341247, 0.3796236414131987, -0.2569792797897433, -0.18670513475329703, 0.1309051152983378, -0.2669281700832976, -0.09528703728101702, 0.19624669149390653, -0.16605525555359757, -0.028410543787141897, 0.08143981661981879, 0.13607814990811878, -0.08502239894726847, -0.24984713312055373, 0.40938774321793425, -0.07567442192409474, 0.24298210957079616, 0.09950013467086813, 0.1773319197818637, -0.009684387399440901, -0.03751359277993886, 0.040627938323120914, -0.1639303739089867, 0.0736772172813678, 0.23671245770767713, 0.06710134332096125, 0.22949925597168058, -0.309580386035208, -0.18408924266775575, 0.18699279949593886, 0.12088051500631214, -0.05930393029195376, -0.09417229012434936, -0.27811330902334463, 0.2195143307495512, -0.10125643169730265, -0.2223298589929811, -0.029855851959596332, 0.12609322784611812, -0.062464102133551344, -0.17216359131619272, 0.06221688939974858, 0.14639971287291484, 0.09747458353606808, -0.03256263368380948, -0.06813616971445517, -0.07150104026604667, 0.15482739341528848, 0.024013898082666546, 0.054407991992277846, 0.07788062123900168, 0.009423859003517363, -0.05498333119500715, 0.40847254953243667, -0.09237368051440288, -0.1824790792555636, 0.1612634998626816, -0.18655439042764851, -0.17755486959846228, 0.16653653795424944, 0.08569069057862219, 0.1316427103180088, -0.014129143574426318, 0.24321809131353617, -0.12132457938666145, 0.1253829788711145, 0.10223652072983165, -0.037269487910362706, 0.08169542154711154, 0.13760693419454062, 0.16425738759880137, 0.10074790217814186, 0.049736892824403495, -0.004615858242484844, -0.32862072213529014, -0.22376266148132393, -0.13517021944867766, 0.17383366093262392, -0.17239560950950433, -0.18341154214512143, 0.3254126213833244, -0.05743403166819077, 0.09598857908246991, 0.15305311393597695, 0.2564835691840475, 0.0444699353334478, 0.059989003838700615, 0.1056531613939402, 0.10770862116518183, 0.2987592821705959, -0.08068099699150293, -0.1675472333731277, -0.03467577932259211, 0.18306475843135744] |
711.5002 | A nearly-optimal method to compute the truncated theta function, its
derivatives, and integrals | A poly-log time method to compute the truncated theta function, its
derivatives, and integrals is presented. The method is elementary, rigorous,
explicit, and suited for computer implementation. We repeatedly apply the
Poisson summation formula to the truncated theta function while suitably
normalizing the linear and quadratic arguments after each repetition. The
method relies on the periodicity of the complex exponential, which enables the
suitable normalization of the arguments, and on the self-similarity of the
Gaussian, which ensures that we still obtain a truncated theta function after
each application of the Poisson summation. In other words, our method relies on
modular properties of the theta function. Applications to the numerical
computation of the Riemann zeta function and to finding the number of solutions
of Waring type Diophantine equations are discussed.
| math.NT | a polylog time method to compute the truncated theta function its derivatives and integrals is presented the method is elementary rigorous explicit and suited for computer implementation we repeatedly apply the poisson summation formula to the truncated theta function while suitably normalizing the linear and quadratic arguments after each repetition the method relies on the periodicity of the complex exponential which enables the suitable normalization of the arguments and on the selfsimilarity of the gaussian which ensures that we still obtain a truncated theta function after each application of the poisson summation in other words our method relies on modular properties of the theta function applications to the numerical computation of the riemann zeta function and to finding the number of solutions of waring type diophantine equations are discussed | [['a', 'polylog', 'time', 'method', 'to', 'compute', 'the', 'truncated', 'theta', 'function', 'its', 'derivatives', 'and', 'integrals', 'is', 'presented', 'the', 'method', 'is', 'elementary', 'rigorous', 'explicit', 'and', 'suited', 'for', 'computer', 'implementation', 'we', 'repeatedly', 'apply', 'the', 'poisson', 'summation', 'formula', 'to', 'the', 'truncated', 'theta', 'function', 'while', 'suitably', 'normalizing', 'the', 'linear', 'and', 'quadratic', 'arguments', 'after', 'each', 'repetition', 'the', 'method', 'relies', 'on', 'the', 'periodicity', 'of', 'the', 'complex', 'exponential', 'which', 'enables', 'the', 'suitable', 'normalization', 'of', 'the', 'arguments', 'and', 'on', 'the', 'selfsimilarity', 'of', 'the', 'gaussian', 'which', 'ensures', 'that', 'we', 'still', 'obtain', 'a', 'truncated', 'theta', 'function', 'after', 'each', 'application', 'of', 'the', 'poisson', 'summation', 'in', 'other', 'words', 'our', 'method', 'relies', 'on', 'modular', 'properties', 'of', 'the', 'theta', 'function', 'applications', 'to', 'the', 'numerical', 'computation', 'of', 'the', 'riemann', 'zeta', 'function', 'and', 'to', 'finding', 'the', 'number', 'of', 'solutions', 'of', 'waring', 'type', 'diophantine', 'equations', 'are', 'discussed']] | [-0.13777201286293278, 0.014637696632552285, -0.13773936470753925, 0.08069093569629472, -0.11582911587789539, -0.1088278399628782, 0.07311115633739634, 0.32815945565758287, -0.3113341814903326, -0.2607642478677769, 0.10623877599037634, -0.20431364373513317, -0.19278900769346055, 0.2437082371830601, -0.023380522902959295, 0.12181440442611008, 0.009631483867952182, 0.06007091673957401, -0.12999778699541334, -0.29318229823784775, 0.33297124448730503, 0.030944828940338866, 0.23875849071146502, 0.021423219002841054, 0.14140133862564153, 0.06035302367508989, -0.07971280977823013, -0.08280313330478678, -0.12015374680077918, 0.13708636508361155, 0.1909394075646419, 0.10174096787579415, 0.2847653794131249, -0.3916766965408023, -0.12676781929971637, 0.06971611386497123, 0.12020932301489073, 0.04872298914607066, 0.004923352893160353, -0.23781439264904158, 0.08531530395009403, -0.13926992215966993, -0.1860313035778759, -0.11254527076876672, 0.017573037451898404, 0.10219043283136706, -0.30365375938370476, 0.08756413351917683, 0.05627897113215092, 0.021457025149562794, -0.038748973005906094, -0.14074282323970466, 0.03464245326391082, 0.07394119465088313, 0.060418367445425586, 0.02731621304577462, 0.1028526262019205, -0.11881135667623706, -0.07355158521916515, 0.34139563638514786, -0.04303765670547998, -0.260511277907694, 0.1305958257930339, -0.13493282877832882, -0.1378447050535546, 0.12133245523694124, 0.09614704732689285, 0.18319192831224018, -0.08419886502516709, 0.14016240905851213, -0.0408752943757315, 0.1420624213827442, 0.10872252062757233, -0.03285235593586352, 0.1167730000826653, 0.08065447544808997, 0.054040016064983466, 0.16292673002165028, -0.04398800551985181, -0.12349828777026182, -0.35029875043086534, -0.16874952967343634, -0.22047724947333336, 0.04502607506876739, -0.15531661796738672, -0.24003679085479573, 0.4271164442188749, 0.1015506227204735, 0.18104731230166302, 0.14656592683339592, 0.29334740756556044, 0.21575028870106755, 0.07128398107769068, 0.031241634094628754, 0.12015631959896332, 0.1609070836476144, 0.06006482492793034, -0.19203449849421952, 0.05485034674088391, 0.16606889993436058] |
711.5003 | Contact equations, Lipschitz extensions and isoperimetric inequalities | We characterize locally Lipschitz mappings and existence of Lipschitz
extensions through a first order nonlinear system of PDEs. We extend this study
to graded group-valued Lipschitz mappings defined on compact Riemannian
manifolds. Through a simple application, we emphasize the connection between
these PDEs and the Rumin complex. We introduce a class of 2-step groups,
satisfying some abstract geometric conditions and we show that Lipschitz
mappings taking values in these groups and defined on subsets of the plane
admit Lipschitz extensions. We present several examples of these groups, called
Allcock groups, observing that their horizontal distribution may have any
codimesion. Finally, we show how these Lipschitz extensions theorems lead us to
quadratic isoperimetric inequalities in all Allcock groups.
| math.AP math.DG | we characterize locally lipschitz mappings and existence of lipschitz extensions through a first order nonlinear system of pdes we extend this study to graded groupvalued lipschitz mappings defined on compact riemannian manifolds through a simple application we emphasize the connection between these pdes and the rumin complex we introduce a class of 2step groups satisfying some abstract geometric conditions and we show that lipschitz mappings taking values in these groups and defined on subsets of the plane admit lipschitz extensions we present several examples of these groups called allcock groups observing that their horizontal distribution may have any codimesion finally we show how these lipschitz extensions theorems lead us to quadratic isoperimetric inequalities in all allcock groups | [['we', 'characterize', 'locally', 'lipschitz', 'mappings', 'and', 'existence', 'of', 'lipschitz', 'extensions', 'through', 'a', 'first', 'order', 'nonlinear', 'system', 'of', 'pdes', 'we', 'extend', 'this', 'study', 'to', 'graded', 'groupvalued', 'lipschitz', 'mappings', 'defined', 'on', 'compact', 'riemannian', 'manifolds', 'through', 'a', 'simple', 'application', 'we', 'emphasize', 'the', 'connection', 'between', 'these', 'pdes', 'and', 'the', 'rumin', 'complex', 'we', 'introduce', 'a', 'class', 'of', '2step', 'groups', 'satisfying', 'some', 'abstract', 'geometric', 'conditions', 'and', 'we', 'show', 'that', 'lipschitz', 'mappings', 'taking', 'values', 'in', 'these', 'groups', 'and', 'defined', 'on', 'subsets', 'of', 'the', 'plane', 'admit', 'lipschitz', 'extensions', 'we', 'present', 'several', 'examples', 'of', 'these', 'groups', 'called', 'allcock', 'groups', 'observing', 'that', 'their', 'horizontal', 'distribution', 'may', 'have', 'any', 'codimesion', 'finally', 'we', 'show', 'how', 'these', 'lipschitz', 'extensions', 'theorems', 'lead', 'us', 'to', 'quadratic', 'isoperimetric', 'inequalities', 'in', 'all', 'allcock', 'groups']] | [-0.17736718655917152, 0.045666630319640814, -0.06671874254845597, 0.11141950675338538, -0.15329618647831075, -0.11401615158959838, 0.009859546748038125, 0.436019949181455, -0.32853551122263586, -0.20419156220580997, 0.1485275711165741, -0.2519195333187436, -0.2026946668208031, 0.22789883755291973, -0.14794289726354504, 0.02498211024706914, 0.019800069854305737, -0.0017678958648847866, -0.12725487561366552, -0.27327868540104927, 0.44656394240205527, -0.1120608452193696, 0.1463473846308951, 0.06490018403113434, 0.12574130743300413, -0.020878477871080797, -0.05523874465344024, 0.04935566821247982, -0.2270269453298985, 0.1467236953803563, 0.2827590794286466, 0.08490953544869312, 0.27508867393119324, -0.38590077837479525, -0.18843244028213466, 0.23054536358164301, 0.07563084674244426, -0.004163141251975221, -0.07200660339179288, -0.30864249062242693, 0.0855861259112536, -0.11099836193346257, -0.13823636921708762, -0.134498807411954, -0.03751056158116312, 0.08382500845192258, -0.22320723036657378, 0.016626097912225742, 0.13444498271665312, 0.07986707563194896, -0.13618391393764137, -0.04816302890234009, -0.030225380921961163, 0.09740613966152586, -0.024694156062243313, -0.023411827986851205, 0.1128130405940565, 0.004506504464220127, -0.1467756199819068, 0.32496205352824825, -0.04628823596958055, -0.29979924270321195, 0.21306821394808076, -0.1689768911194827, -0.22814906216708236, 0.04328575955125792, 0.19473869497446214, 0.1583864537774232, -0.0979959827462404, 0.15884093976587635, -0.09673813421776968, 0.05461785760065862, 0.1157727085519582, 0.02797523314325974, 0.07979963984187885, 0.06893686686465837, 0.15275245310200763, 0.17186685370939686, 0.06305456463777429, -0.058303448937608505, -0.3880629932973534, -0.1669084069013981, -0.04678840052882402, 0.0920377222465849, -0.1456668527695503, -0.18347824323151646, 0.4009886326926664, 0.11113295764040106, 0.1680932454925416, 0.18701047478203564, 0.16065879434282923, 0.05521433907039142, 0.049958364887500245, 0.08881239583394651, 0.15754626434148844, 0.22418373769373987, 0.01628134577085489, -0.10693335249730997, 0.004821242519718562, 0.1568171753275112] |
711.5004 | A note on lower bounds for hypergraph Ramsey numbers | We improve upon the lower bound for 3-colour hypergraph Ramsey numbers,
showing, in the 3-uniform case, that \[r_3 (l,l,l) \geq 2^{l^{c \log \log
l}}.\] The old bound, due to Erd\H{o}s and Hajnal, was \[r_3 (l,l,l) \geq 2^{c
l^2 \log^2 l}.\]
| math.CO | we improve upon the lower bound for 3colour hypergraph ramsey numbers showing in the 3uniform case that r_3 lll geq 2lc log log l the old bound due to erdhos and hajnal was r_3 lll geq 2c l2 log2 l | [['we', 'improve', 'upon', 'the', 'lower', 'bound', 'for', '3colour', 'hypergraph', 'ramsey', 'numbers', 'showing', 'in', 'the', '3uniform', 'case', 'that', 'r_3', 'lll', 'geq', '2lc', 'log', 'log', 'l', 'the', 'old', 'bound', 'due', 'to', 'erdhos', 'and', 'hajnal', 'was', 'r_3', 'lll', 'geq', '2c', 'l2', 'log2', 'l']] | [-0.20014881108624813, 0.19345373883604622, -0.03690079575738846, 0.16325574602263096, -0.01711209624623641, -0.2698857891492737, 0.15608664525625032, 0.23524245686638048, -0.19274041986761567, -0.42730053342305696, 0.034551838744216815, -0.3409979906774914, -0.06681740393814369, 0.1071429749389585, -0.16851344976860744, 0.03429679782428325, 0.014144848006813286, 0.03756940723038637, 0.05030502802214752, -0.438909925842801, 0.19376847465546468, -0.02465686851587051, 0.1584603819064796, 0.14640672886982942, -0.08993535917491102, 0.010636192233039018, 0.06988838110835506, -0.08489844272247492, -0.2941645466051294, 0.04632921404658984, 0.22032053200289226, 0.16902872738547814, 0.20079573826530042, -0.33882495990166295, -0.06204317917283147, 0.1847388751279467, 0.2559006586193274, 0.022833944835628454, 0.07474785417509384, -0.19439624469034755, 0.09628030337775365, -0.012728045909450604, -0.12961403978988528, 0.017566024779509276, 0.1894367776142481, -0.06736415125525151, -0.2914923572530731, 0.04111436133583387, 0.24909237037914303, 0.016090888410615616, 0.10357529882532664, -0.3310200255722381, 0.0054072822706821635, -0.03704795733285256, -0.12172093471655479, 0.19367557846439573, -0.027490740534491263, -0.062257290578996524, -0.09013908676421031, 0.2458083311525675, -0.14969158176786435, -0.05957711392488235, 0.07497952162073208, -0.15394575879550898, -0.237022077330412, 0.1068014257038251, 0.05123422683503192, 0.22598213620054033, 0.09084685077556433, 0.2827951552761265, -0.19020133931786778, 0.20775074397142118, 0.28247115063743716, 0.09425745007749169, -0.08990074292822288, 0.07693116755511326, 0.20823662897619682, 0.1344094359471152, -0.03046790090126869, 0.05199300765227049, -0.24650133515779787, -0.12877290475313577, -0.2779421255661127, 0.17796915474658212, -0.1971013305036393, -0.06324648054746482, 0.20242451833417782, 0.03731471251170987, 0.18975888361008122, 0.16474581371324185, 0.20390641990189368, 0.059082697599362105, -0.025510890600390922, 0.2743219421125757, 0.10217988973435684, 0.2706585990694853, -0.04994723960184134, -0.19319856376984182, -0.007269623999794324, 0.2527785823943141] |
711.5005 | Fast methods to compute the Riemann zeta function | The Riemann zeta function on the critical line can be computed using a
straightforward application of the Riemann-Siegel formula, Sch\"onhage's
method, or Heath-Brown's method. The complexities of these methods have
exponents 1/2, 3/8 (=0.375), and 1/3 respectively. In this paper, three new
fast and potentially practical methods to compute zeta are presented. One
method is very simple. Its complexity has exponent 2/5. A second method relies
on this author's algorithm to compute quadratic exponential sums. Its
complexity has exponent 1/3. The third method employs an algorithm, developed
in this paper, to compute cubic exponential sums. Its complexity has exponent
4/13 (approximately, 0.307).
| math.NT | the riemann zeta function on the critical line can be computed using a straightforward application of the riemannsiegel formula schonhages method or heathbrowns method the complexities of these methods have exponents 12 38 0375 and 13 respectively in this paper three new fast and potentially practical methods to compute zeta are presented one method is very simple its complexity has exponent 25 a second method relies on this authors algorithm to compute quadratic exponential sums its complexity has exponent 13 the third method employs an algorithm developed in this paper to compute cubic exponential sums its complexity has exponent 413 approximately 0307 | [['the', 'riemann', 'zeta', 'function', 'on', 'the', 'critical', 'line', 'can', 'be', 'computed', 'using', 'a', 'straightforward', 'application', 'of', 'the', 'riemannsiegel', 'formula', 'schonhages', 'method', 'or', 'heathbrowns', 'method', 'the', 'complexities', 'of', 'these', 'methods', 'have', 'exponents', '12', '38', '0375', 'and', '13', 'respectively', 'in', 'this', 'paper', 'three', 'new', 'fast', 'and', 'potentially', 'practical', 'methods', 'to', 'compute', 'zeta', 'are', 'presented', 'one', 'method', 'is', 'very', 'simple', 'its', 'complexity', 'has', 'exponent', '25', 'a', 'second', 'method', 'relies', 'on', 'this', 'authors', 'algorithm', 'to', 'compute', 'quadratic', 'exponential', 'sums', 'its', 'complexity', 'has', 'exponent', '13', 'the', 'third', 'method', 'employs', 'an', 'algorithm', 'developed', 'in', 'this', 'paper', 'to', 'compute', 'cubic', 'exponential', 'sums', 'its', 'complexity', 'has', 'exponent', '413', 'approximately', '0307']] | [-0.12416832386481795, 0.022943067361113352, -0.14112588474709614, 0.06843270990294496, -0.06817219011410248, -0.17670706553183788, 0.0813139802776277, 0.3452976688562308, -0.2578039678708449, -0.3208999536274111, 0.11447374605546322, -0.24295858302902357, -0.18380921144568013, 0.2771074821894039, -0.04789691296515658, 0.09853752633823794, -0.021056274442896976, 0.025097066093711, -0.10394125089378041, -0.3392798446630146, 0.24930338644623465, 0.025014904866396796, 0.22713206942859746, 0.06394157356436492, 0.08996767064045165, -0.042251546545337665, -0.05704338164308437, -0.040051467634518355, -0.1592373740904983, 0.14370154289017414, 0.20112354517229558, 0.1089912026622829, 0.3035680717405151, -0.3063060857866909, -0.13193898339294738, 0.11707045262058575, 0.16630499474430346, 0.04875002343061508, 0.016021525439368012, -0.19859761386817576, 0.12690076449835747, -0.19400574588308148, -0.1635725370918711, -0.0818846644103235, 0.01749685589297145, -0.0017601415770603162, -0.2535338857229434, 0.10591539724127334, 0.01743143782996591, 0.07254204523804433, -0.030374214841810732, -0.18369149568253287, 0.09545407206386182, 0.06475364848030914, 0.04480433680217567, 0.07709973586686686, 0.08160762492494256, -0.03187810565920218, -0.15067020433443581, 0.31814909857862134, -0.043193148250472456, -0.1854404564399053, 0.16550497355523938, -0.1137652418087693, -0.16072799496845724, 0.20504408842865743, 0.1712869106901481, 0.17020283420752808, -0.10475681438772738, 0.1436890533351449, -0.006336578788856666, 0.17537788524721548, 0.06989099406272027, -0.04610177665474076, 0.0756909419787025, 0.09972777092537168, 0.04731188986368258, 0.16193264138350702, -0.10860784641722691, -0.056319936708200215, -0.24160858652298794, -0.1750206567127915, -0.23647243928565992, 0.04541532156016568, -0.1637045623384777, -0.18388023892161892, 0.3931576093184013, 0.10231094353138377, 0.1730333994617503, 0.1454202666668696, 0.2940343043894744, 0.19176831490624988, 0.05372771574640829, 0.0787479488352284, 0.1715439904992487, 0.14881513833168747, 0.1010973055426981, -0.17061737286841142, 0.052880201260467954, 0.18819401934103785] |
711.5006 | Black hole formation and slow-roll inflation | Black hole formation may occur if the spectrum of the curvature perturbation
\zeta increases strongly as the scale decreases. As no such increase is
observed on cosmological scales, black hole formation requires strongly
positive running n' of the spectral index n, though the running might only kick
in below the `cosmological scales' probed by the CMB anisotropy and galaxy
surveys. A concrete and well-motivated way of producing this running is through
the running mass model of slow roll inflation. We obtain a new observational
bound n' < 0.026 on the running provided by this model, improving an earlier
result by a factor two. We also discuss black hole production in more general
scenarios. We show that the usual conditions \epsilon << 1 and |\eta| << 1 are
enough to derive the spectrum {\cal P}_{\zeta}(k), the introduction of higher
order parameters \xi^{2} etc. being optional.
| hep-ph astro-ph gr-qc hep-th | black hole formation may occur if the spectrum of the curvature perturbation zeta increases strongly as the scale decreases as no such increase is observed on cosmological scales black hole formation requires strongly positive running n of the spectral index n though the running might only kick in below the cosmological scales probed by the cmb anisotropy and galaxy surveys a concrete and wellmotivated way of producing this running is through the running mass model of slow roll inflation we obtain a new observational bound n 0026 on the running provided by this model improving an earlier result by a factor two we also discuss black hole production in more general scenarios we show that the usual conditions epsilon 1 and eta 1 are enough to derive the spectrum cal p_zetak the introduction of higher order parameters xi2 etc being optional | [['black', 'hole', 'formation', 'may', 'occur', 'if', 'the', 'spectrum', 'of', 'the', 'curvature', 'perturbation', 'zeta', 'increases', 'strongly', 'as', 'the', 'scale', 'decreases', 'as', 'no', 'such', 'increase', 'is', 'observed', 'on', 'cosmological', 'scales', 'black', 'hole', 'formation', 'requires', 'strongly', 'positive', 'running', 'n', 'of', 'the', 'spectral', 'index', 'n', 'though', 'the', 'running', 'might', 'only', 'kick', 'in', 'below', 'the', 'cosmological', 'scales', 'probed', 'by', 'the', 'cmb', 'anisotropy', 'and', 'galaxy', 'surveys', 'a', 'concrete', 'and', 'wellmotivated', 'way', 'of', 'producing', 'this', 'running', 'is', 'through', 'the', 'running', 'mass', 'model', 'of', 'slow', 'roll', 'inflation', 'we', 'obtain', 'a', 'new', 'observational', 'bound', 'n', '0026', 'on', 'the', 'running', 'provided', 'by', 'this', 'model', 'improving', 'an', 'earlier', 'result', 'by', 'a', 'factor', 'two', 'we', 'also', 'discuss', 'black', 'hole', 'production', 'in', 'more', 'general', 'scenarios', 'we', 'show', 'that', 'the', 'usual', 'conditions', 'epsilon', '1', 'and', 'eta', '1', 'are', 'enough', 'to', 'derive', 'the', 'spectrum', 'cal', 'p_zetak', 'the', 'introduction', 'of', 'higher', 'order', 'parameters', 'xi2', 'etc', 'being', 'optional']] | [-0.17393085611402057, 0.17297271749131532, -0.04884776671949242, 0.1158998669723847, -0.07687956045348464, -0.15941832911921666, -0.00722764374804683, 0.3144423346035182, -0.19666209583935726, -0.3655639828648418, 0.10491496386239305, -0.26877712735773196, -0.0696775230030263, 0.2018143546750902, 0.004595031652466527, 0.0017071091636483159, 0.013137732279054555, 0.020197288948111236, -0.05691644652646833, -0.26614643626713325, 0.3120611670123513, 0.11559710225223431, 0.17961717784512854, 0.059536086648170436, 0.036583220616116054, -0.04366551398831819, -0.02147137277892658, 0.005145359122460442, -0.18870209440382105, 0.03051597692870668, 0.16058416531387984, 0.14444013291504235, 0.23299702173431536, -0.37034787332106917, -0.22159099226285303, 0.10363463971963419, 0.18467488289212008, 0.09342051749616595, -0.06370151704478692, -0.2187968979257026, 0.08100501839736743, -0.20236142220590927, -0.14063373895062667, -0.027358986360819213, 0.04470151111683143, -0.050915422669744914, -0.2874647165382547, 0.11454759999989099, 0.03746809036737042, -0.04220260779340086, -0.03682616377918748, -0.10362890602638279, -0.038356478971296126, 0.06308984331387495, 0.1249071985034139, 0.04737581540747279, 0.18003752470083004, -0.12435037076024205, -0.07451671699195035, 0.373575191998056, -0.12638264478467007, -0.11188920868028487, 0.1442736525055287, -0.20969783370383083, -0.15275482307458463, 0.08113198918955666, 0.14167148326606757, 0.15227204760470028, -0.05308313987126374, 0.1309016496096904, 0.024606568978301116, 0.22923528676453445, 0.10191741596707808, 0.04596918152747094, 0.24978016778893236, 0.15251534380783727, 0.08528315806595077, 0.0920541074393051, -0.057322297571226956, -0.041699040291963946, -0.3265769133743431, -0.08785986125294584, -0.16205182799936405, 0.1063315780800102, -0.20546880610189483, -0.13884471015605543, 0.33908532377598544, 0.11616978136839212, 0.26495521585457027, 0.07996644710157333, 0.27314092042589827, 0.12466658987271201, 0.04405235108445465, 0.08954461930718804, 0.29278498735012753, 0.08174030720089961, 0.10616233266025249, -0.21991346808083886, 0.03075097534206829, 0.027375093870796265] |
711.5007 | A bound on the exponent of the cohomology of BC-bundles | We give a lower bound for the exponent of certain elements in the integral
cohomology of the total spaces of principal BC-bundles for C a finite cyclic
group. As applications we give a proof of the theorem of A. Adem and H.-W. Henn
that a p-group is elementary abelian if and only if its integral cohomology has
exponent p, and we exhibit some infinite groups of finite virtual cohomological
dimension whose Tate-Farrell cohomology contains torsion of order greater than
the l.c.m. of the orders of their finite subgroups. We also give an upper bound
for the exponent of all but finitely many of the integral cohomology groups of
a finite group, in terms of the permutation representations of the group.
| math.AT | we give a lower bound for the exponent of certain elements in the integral cohomology of the total spaces of principal bcbundles for c a finite cyclic group as applications we give a proof of the theorem of a adem and hw henn that a pgroup is elementary abelian if and only if its integral cohomology has exponent p and we exhibit some infinite groups of finite virtual cohomological dimension whose tatefarrell cohomology contains torsion of order greater than the lcm of the orders of their finite subgroups we also give an upper bound for the exponent of all but finitely many of the integral cohomology groups of a finite group in terms of the permutation representations of the group | [['we', 'give', 'a', 'lower', 'bound', 'for', 'the', 'exponent', 'of', 'certain', 'elements', 'in', 'the', 'integral', 'cohomology', 'of', 'the', 'total', 'spaces', 'of', 'principal', 'bcbundles', 'for', 'c', 'a', 'finite', 'cyclic', 'group', 'as', 'applications', 'we', 'give', 'a', 'proof', 'of', 'the', 'theorem', 'of', 'a', 'adem', 'and', 'hw', 'henn', 'that', 'a', 'pgroup', 'is', 'elementary', 'abelian', 'if', 'and', 'only', 'if', 'its', 'integral', 'cohomology', 'has', 'exponent', 'p', 'and', 'we', 'exhibit', 'some', 'infinite', 'groups', 'of', 'finite', 'virtual', 'cohomological', 'dimension', 'whose', 'tatefarrell', 'cohomology', 'contains', 'torsion', 'of', 'order', 'greater', 'than', 'the', 'lcm', 'of', 'the', 'orders', 'of', 'their', 'finite', 'subgroups', 'we', 'also', 'give', 'an', 'upper', 'bound', 'for', 'the', 'exponent', 'of', 'all', 'but', 'finitely', 'many', 'of', 'the', 'integral', 'cohomology', 'groups', 'of', 'a', 'finite', 'group', 'in', 'terms', 'of', 'the', 'permutation', 'representations', 'of', 'the', 'group']] | [-0.222935162458995, 0.15509737371252474, -0.16368506902876168, 0.05932682220354455, -0.07836463496481637, -0.11231507219263684, 0.037817020546368686, 0.29283032137742737, -0.29294267063171175, -0.23767739524117718, 0.12126631561027429, -0.24065688028300214, -0.11232335429088118, 0.2318135267597134, -0.09332581130803515, -0.030079800112200586, -0.017754470728243054, 0.19512520711750614, -0.08613480470869374, -0.334797574826753, 0.3760274202026174, -0.05967891538294695, 0.1922705194506384, 0.07825941822917784, 0.12301256074333343, 0.010741390208950487, -0.041362291150647455, -0.03850659473909665, -0.1488568478018382, 0.1618133517755669, 0.29021554531813676, 0.026511364109356398, 0.22163924769601012, -0.3448982227127999, -0.1276215344462228, 0.21974969773663808, 0.1434257251715635, 0.008520707125002044, -0.03391351711036543, -0.23580932357522139, 0.17782152649922833, -0.23703149684026079, -0.1636920614756044, -0.04929609912431846, 0.1281661809800919, 0.022727767368620734, -0.21867816491936476, 0.027543163041227055, 0.11141581171571072, 0.16804632745555925, -0.09178981645589189, -0.1265703234624244, -0.028489051220970132, 0.1188981024271185, -0.003813569041332072, -0.027870949992112877, 0.07699622414311615, -0.1083179951496955, -0.1387482544849232, 0.389932841611079, -0.04864260487979124, -0.18990835385649638, 0.12883570750038756, -0.19165044315790725, -0.17297945831412986, 0.14753460834371085, 0.07891084325610329, 0.1695353460135096, 0.013232727298292063, 0.21107226127010803, -0.13817952356253893, 0.08916584392358406, 0.05104418894497015, 0.04294597621517793, 0.04683173832215243, 0.07843685457167232, 0.11556792022784683, 0.1401984635799713, 0.03898255192374779, 0.006430013368194291, -0.392310279263657, -0.2454303219505996, -0.14220684447416532, 0.11860418820879974, -0.16341454238136066, -0.21881410686725403, 0.4092828954364789, 0.05385955734478341, 0.12771665895854958, 0.14483331769341762, 0.21363833178647684, 0.10443927992383902, 0.07934949949079872, 0.062113188191364375, 0.10254615926212371, 0.22546999319851146, -0.0822656256762349, -0.15939230455669684, 0.0023349780092110574, 0.22976273934798852] |
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