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711.0608 | On Fixed-multiplicity Corrections to Correlators | Correction terms generated in the correlator analysis due to
multiplicity-dependent observable mean are investigated. A procedure for
subtraction of such terms from calculated correlator estimates is suggested and
the obtained results are discussed.
| nucl-th | correction terms generated in the correlator analysis due to multiplicitydependent observable mean are investigated a procedure for subtraction of such terms from calculated correlator estimates is suggested and the obtained results are discussed | [['correction', 'terms', 'generated', 'in', 'the', 'correlator', 'analysis', 'due', 'to', 'multiplicitydependent', 'observable', 'mean', 'are', 'investigated', 'a', 'procedure', 'for', 'subtraction', 'of', 'such', 'terms', 'from', 'calculated', 'correlator', 'estimates', 'is', 'suggested', 'and', 'the', 'obtained', 'results', 'are', 'discussed']] | [-0.09369073384864764, 0.07840104018704909, -0.07788859827048851, 0.13614988989182608, 0.06875575999870445, -0.07393363856174277, -0.034004110024508205, 0.3614331761544401, -0.18115589220189687, -0.2866184376180172, 0.15240769974083046, -0.29008284987260896, -0.1387867812688152, 0.25787031774719554, -0.024713419279027166, 0.061481819304665834, 0.10263350738607573, 0.03139830510498899, -0.1153722418415727, -0.1655238315209069, 0.25622888281941414, 0.05318607787855647, 0.2688664653987596, 0.10616838897818304, 0.1033433272898423, 0.005101642416169246, -0.21960148264682203, 0.08163019175161466, -0.1118438309058547, 0.08547276960135522, 0.21507942191127574, 0.05552684391538302, 0.14671942529579005, -0.30911644271603134, -0.1895468975699535, 0.07639641548986688, 0.15431423428835292, 0.10662469019492467, -0.028039939729779056, -0.3129770786811908, 0.12985841001412182, -0.18655953434945055, -0.1441266770954385, -0.1429146762767976, -0.042319074950434944, 0.0032732335173270917, -0.32144021601275063, 0.10004533403976397, -0.04645646174410076, 0.03510745352479827, -0.08315110816902509, -0.20202006896336874, 0.0027395095111745777, 0.12652450265137083, 0.10551322564115805, 0.08525931826707991, 0.1400761378957241, -0.11277216694063762, -0.11276758084017219, 0.38434656754587637, -0.10096920236493602, -0.19937045067887416, 0.08383071738662141, -0.14582888028499755, -0.0910287417725406, 0.10681925307620656, 0.10552994933713114, 0.09086122094286662, -0.199033737775277, 0.04069682780589739, 0.08355850823731585, 0.0891907344868576, 0.08748345223791672, 0.09647461066417622, 0.1385622905623732, 0.06313899712580623, -0.05193205584179272, 0.16161645760505713, -0.08957707080425638, -0.12248581182211637, -0.3688799726466338, -0.05610150019073802, -0.2183637876966686, -0.007414798615641441, -0.0813206576483825, -0.1553241409446028, 0.3774998736652461, 0.12090602093799548, 0.16848214307912823, 0.04037179843042836, 0.3056233872969945, 0.2337704382159493, 0.10869447515825882, 0.06985998651802991, 0.27290090184771654, 0.16776153216646475, 0.06517855989549196, -0.21701262612601346, 0.07252969368445603, 0.1102436155179572] |
711.0609 | Fractional conservation laws in optimal control theory | Using the recent formulation of Noether's theorem for the problems of the
calculus of variations with fractional derivatives, the Lagrange multiplier
technique, and the fractional Euler-Lagrange equations, we prove a Noether-like
theorem to the more general context of the fractional optimal control. As a
corollary, it follows that in the fractional case the autonomous Hamiltonian
does not define anymore a conservation law. Instead, it is proved that the
fractional conservation law adds to the Hamiltonian a new term which depends on
the fractional-order of differentiation, the generalized momentum, and the
fractional derivative of the state variable.
| math.OC math-ph math.MP | using the recent formulation of noethers theorem for the problems of the calculus of variations with fractional derivatives the lagrange multiplier technique and the fractional eulerlagrange equations we prove a noetherlike theorem to the more general context of the fractional optimal control as a corollary it follows that in the fractional case the autonomous hamiltonian does not define anymore a conservation law instead it is proved that the fractional conservation law adds to the hamiltonian a new term which depends on the fractionalorder of differentiation the generalized momentum and the fractional derivative of the state variable | [['using', 'the', 'recent', 'formulation', 'of', 'noethers', 'theorem', 'for', 'the', 'problems', 'of', 'the', 'calculus', 'of', 'variations', 'with', 'fractional', 'derivatives', 'the', 'lagrange', 'multiplier', 'technique', 'and', 'the', 'fractional', 'eulerlagrange', 'equations', 'we', 'prove', 'a', 'noetherlike', 'theorem', 'to', 'the', 'more', 'general', 'context', 'of', 'the', 'fractional', 'optimal', 'control', 'as', 'a', 'corollary', 'it', 'follows', 'that', 'in', 'the', 'fractional', 'case', 'the', 'autonomous', 'hamiltonian', 'does', 'not', 'define', 'anymore', 'a', 'conservation', 'law', 'instead', 'it', 'is', 'proved', 'that', 'the', 'fractional', 'conservation', 'law', 'adds', 'to', 'the', 'hamiltonian', 'a', 'new', 'term', 'which', 'depends', 'on', 'the', 'fractionalorder', 'of', 'differentiation', 'the', 'generalized', 'momentum', 'and', 'the', 'fractional', 'derivative', 'of', 'the', 'state', 'variable']] | [-0.1440657094681228, 0.059414714167360216, -0.1318372877613001, 0.08224463254858468, -0.14971035299822688, -0.12069139137747698, 0.02480307659546573, 0.2071583295473829, -0.33848693743736175, -0.29950232825164375, 0.13067636797374385, -0.2301282319094753, -0.15781067051769546, 0.17986067151650786, -0.1415040315502362, 0.07447795091138687, -0.011907080071978271, 0.029858315618412234, -0.09065833045679028, -0.18344448532540505, 0.3343395608389983, -0.03391074903993285, 0.20935475598283423, 0.041014481112749, 0.1944585720290585, 0.008694604335081143, -0.05613495764797941, -0.016484047489939258, -0.14043273867067305, 0.11171514594267744, 0.18091176225910507, 0.027189185787089325, 0.32282917013314244, -0.39391345427187235, -0.22079148626653478, 0.10712724327459, 0.0719143744984952, 0.06242349772583111, -0.000766687101986463, -0.2705791608677828, 0.05417468961483488, -0.17139789702681205, -0.2123719983016296, -0.07873985412879847, 0.06302921752891659, 0.05654238383673752, -0.28355516379330464, 0.14917158112803008, 0.156320062710923, -0.008559420248881603, -0.12137954156060005, -0.09288851790552144, -0.06315263192906666, 0.04112758183813033, 0.030935612366495963, 0.009948520426405594, 0.08185760165118457, -0.10133149167328763, -0.15847182416473515, 0.38336344965500757, -0.06473673441966336, -0.31356527072299895, 0.08057676542860766, -0.12875901029716866, -0.1781908884004224, 0.05847399790072435, 0.0915367746007784, 0.2002398123763669, -0.15990155964391306, 0.11135798677059938, -0.05359583144308999, 0.15683560640324382, 0.0489240643219091, 0.033205550288281906, 0.08985567045359251, 0.08929048078425694, 0.1953077706566546, 0.11942051441777342, -0.03724949738777165, -0.19077471795026213, -0.3815215898697109, -0.22280297929197937, -0.2086323887827651, 0.07404562778795783, -0.10288794214011432, -0.1710346108302474, 0.3703617629168245, 0.12366315285422995, 0.05937651026761159, 0.09341742626202176, 0.25493540340054704, 0.30575993182113353, 0.07083187317281651, 0.037763252063693166, 0.2030234009725973, 0.19872154728121436, 0.19579879797432417, -0.24414648907744171, 0.010929004009085475, 0.18659627724264283] |
711.061 | Studying pion effects in the quark propagator | Within the framework of Schwinger-Dyson and Bethe-Salpeter equations we
investigate the importance of pions for the quark-gluon interaction. To this
end we choose a truncation for the quark-gluon vertex that includes
intermediate pion degrees of freedom and adjust the interaction such that
unquenched lattice results for various current quark masses are reproduced. The
corresponding Bethe-Salpeter kernel is constructed from constraints by chiral
symmetry. After extrapolation to the physical point we find a considerable
contribution of the pion back reaction to the quark mass function as well as to
the chiral condensate. The quark wave function is less affected.
| hep-ph | within the framework of schwingerdyson and bethesalpeter equations we investigate the importance of pions for the quarkgluon interaction to this end we choose a truncation for the quarkgluon vertex that includes intermediate pion degrees of freedom and adjust the interaction such that unquenched lattice results for various current quark masses are reproduced the corresponding bethesalpeter kernel is constructed from constraints by chiral symmetry after extrapolation to the physical point we find a considerable contribution of the pion back reaction to the quark mass function as well as to the chiral condensate the quark wave function is less affected | [['within', 'the', 'framework', 'of', 'schwingerdyson', 'and', 'bethesalpeter', 'equations', 'we', 'investigate', 'the', 'importance', 'of', 'pions', 'for', 'the', 'quarkgluon', 'interaction', 'to', 'this', 'end', 'we', 'choose', 'a', 'truncation', 'for', 'the', 'quarkgluon', 'vertex', 'that', 'includes', 'intermediate', 'pion', 'degrees', 'of', 'freedom', 'and', 'adjust', 'the', 'interaction', 'such', 'that', 'unquenched', 'lattice', 'results', 'for', 'various', 'current', 'quark', 'masses', 'are', 'reproduced', 'the', 'corresponding', 'bethesalpeter', 'kernel', 'is', 'constructed', 'from', 'constraints', 'by', 'chiral', 'symmetry', 'after', 'extrapolation', 'to', 'the', 'physical', 'point', 'we', 'find', 'a', 'considerable', 'contribution', 'of', 'the', 'pion', 'back', 'reaction', 'to', 'the', 'quark', 'mass', 'function', 'as', 'well', 'as', 'to', 'the', 'chiral', 'condensate', 'the', 'quark', 'wave', 'function', 'is', 'less', 'affected']] | [-0.07621635502318339, 0.230002085563052, -0.09811943360605534, 0.11673114950203203, -0.08741886727036718, -0.049813069906845996, 0.07629036964202414, 0.33886307831473494, -0.19023524118321283, -0.2271980664749839, -0.004062923621766421, -0.2976482900581798, -0.06137747484810498, 0.05769230518490076, 0.07120283229552134, 0.08067570492739276, 0.041645855281730086, 0.032070638531134746, -0.12259607249841198, -0.20026049397087523, 0.3835158892645862, 0.0016635904107622954, 0.20014654710171365, 0.17188618297460584, 0.09223483850210144, 0.05000657139212957, -0.02268634667163905, -0.06780865443015129, -0.09779347433801859, 0.014662343371963623, 0.20135296821981497, 0.044343954736214816, 0.1732255123289568, -0.3984606224872476, -0.20614697677035798, 0.029365393195339307, 0.1677585266060101, 0.17841540499381264, -0.027736230012105435, -0.2762366799656682, 0.07133943176049055, -0.2388463766333096, -0.2191070746725463, -0.09948626820150079, -0.007259574504949304, -0.010778179791356837, -0.3296724290560874, 0.07914589717033871, -0.0425645841786885, -0.0220666415787454, -0.04016984690798028, -0.22475706377275745, -0.0754523480071078, 0.11173340734759611, 0.08844899429882667, 0.1301299982329436, 0.15548575220615318, -0.23617929286485043, -0.06635255718185586, 0.4405633221019287, -0.04733496091841739, -0.194784863992138, 0.13117266003498618, -0.13222776934010338, -0.08872896613914291, 0.11217565377413923, 0.180890200360279, 0.0761338553619476, -0.2334206405913039, 0.0721490750153435, -0.03850919544225801, 0.14129666728353632, 0.08310452633660895, 0.055914827955088446, 0.2162681033796802, 0.1835651008450255, -0.016687426392977336, 0.11414706501967217, -0.018059249753512596, -0.15408455464057624, -0.3703132850327054, -0.0612217876965142, -0.17449228864695346, 0.056345105228668826, -0.11691047563377949, -0.1291393167719397, 0.4093707514052488, 0.15983610608667248, 0.21569432447455367, 0.011843313291972997, 0.2832309038340285, 0.14681909988546382, 0.09903153876431894, 0.07451400897057005, 0.28687503019689903, 0.19730721484175978, 0.1038912210508953, -0.33077711200315446, -0.04141415270729637, 0.13647878206125935] |
711.0611 | First detection of a minor merger a z~0.6 | Numerical simulations predict that minor mergers are an important channel for
the mass assembly of galaxies. However, minor mergers are relatively difficult
to detect using imaging, especially at high redshift. While such events are
much less violent than major mergers, they can nevertheless leave several
features on the kinematical structures of remnant galaxies which could be
detected using 3D spectroscopy. We present the first direct detection of a
minor merger in a z~0.6 galaxy. Such events could indeed be good candidates to
explain the kinematics of perturbed rotating disks observed with GIRAFFE at
z~0.6. We present photometric and kinematical evidence of such an event in a
combined analysis of three-band HST/ACS imaging and VLT/GIRAFFE 2D-kinematics.
Using these data, we are able to demonstrate that a minor merger of a
relatively small satellite (mass ratio ~1:18) is occurring in this galaxy. We
also derive a total SFR ~21Mo/yr. Minor mergers could be one of the physical
processes explaining the kinematics of perturbed rotating disks, which
represent ~25% of emission line intermediate mass galaxies at z~0.6. 3D
spectroscopy appears to be a very good tool to identify minor mergers in
distant (and local) galaxies.
| astro-ph | numerical simulations predict that minor mergers are an important channel for the mass assembly of galaxies however minor mergers are relatively difficult to detect using imaging especially at high redshift while such events are much less violent than major mergers they can nevertheless leave several features on the kinematical structures of remnant galaxies which could be detected using 3d spectroscopy we present the first direct detection of a minor merger in a z06 galaxy such events could indeed be good candidates to explain the kinematics of perturbed rotating disks observed with giraffe at z06 we present photometric and kinematical evidence of such an event in a combined analysis of threeband hstacs imaging and vltgiraffe 2dkinematics using these data we are able to demonstrate that a minor merger of a relatively small satellite mass ratio 118 is occurring in this galaxy we also derive a total sfr 21moyr minor mergers could be one of the physical processes explaining the kinematics of perturbed rotating disks which represent 25 of emission line intermediate mass galaxies at z06 3d spectroscopy appears to be a very good tool to identify minor mergers in distant and local galaxies | [['numerical', 'simulations', 'predict', 'that', 'minor', 'mergers', 'are', 'an', 'important', 'channel', 'for', 'the', 'mass', 'assembly', 'of', 'galaxies', 'however', 'minor', 'mergers', 'are', 'relatively', 'difficult', 'to', 'detect', 'using', 'imaging', 'especially', 'at', 'high', 'redshift', 'while', 'such', 'events', 'are', 'much', 'less', 'violent', 'than', 'major', 'mergers', 'they', 'can', 'nevertheless', 'leave', 'several', 'features', 'on', 'the', 'kinematical', 'structures', 'of', 'remnant', 'galaxies', 'which', 'could', 'be', 'detected', 'using', '3d', 'spectroscopy', 'we', 'present', 'the', 'first', 'direct', 'detection', 'of', 'a', 'minor', 'merger', 'in', 'a', 'z06', 'galaxy', 'such', 'events', 'could', 'indeed', 'be', 'good', 'candidates', 'to', 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711.0612 | Singularity Structure and Stability Analysis of the Dirac Equation on
the Boundary of the Nutku Helicoid Solution | Dirac equation written on the boundary of the Nutku helicoid space consists
of a system of ordinary differential equations. We tried to analyze this system
and we found that it has a higher singularity than those of the Heun's
equations which give the solutions of the Dirac equation in the bulk. We also
lose an independent integral of motion on the boundary. This facts explain why
we could not find the solution of the system on the boundary in terms of known
functions. We make the stability analysis of the helicoid and catenoid cases
and end up with an appendix which gives a new example where one encounters a
form of the Heun equation.
| gr-qc math-ph math.MP | dirac equation written on the boundary of the nutku helicoid space consists of a system of ordinary differential equations we tried to analyze this system and we found that it has a higher singularity than those of the heuns equations which give the solutions of the dirac equation in the bulk we also lose an independent integral of motion on the boundary this facts explain why we could not find the solution of the system on the boundary in terms of known functions we make the stability analysis of the helicoid and catenoid cases and end up with an appendix which gives a new example where one encounters a form of the heun equation | [['dirac', 'equation', 'written', 'on', 'the', 'boundary', 'of', 'the', 'nutku', 'helicoid', 'space', 'consists', 'of', 'a', 'system', 'of', 'ordinary', 'differential', 'equations', 'we', 'tried', 'to', 'analyze', 'this', 'system', 'and', 'we', 'found', 'that', 'it', 'has', 'a', 'higher', 'singularity', 'than', 'those', 'of', 'the', 'heuns', 'equations', 'which', 'give', 'the', 'solutions', 'of', 'the', 'dirac', 'equation', 'in', 'the', 'bulk', 'we', 'also', 'lose', 'an', 'independent', 'integral', 'of', 'motion', 'on', 'the', 'boundary', 'this', 'facts', 'explain', 'why', 'we', 'could', 'not', 'find', 'the', 'solution', 'of', 'the', 'system', 'on', 'the', 'boundary', 'in', 'terms', 'of', 'known', 'functions', 'we', 'make', 'the', 'stability', 'analysis', 'of', 'the', 'helicoid', 'and', 'catenoid', 'cases', 'and', 'end', 'up', 'with', 'an', 'appendix', 'which', 'gives', 'a', 'new', 'example', 'where', 'one', 'encounters', 'a', 'form', 'of', 'the', 'heun', 'equation']] | [-0.1695900990856452, 0.021350968958199303, -0.1273620154365505, 0.055857883233233895, -0.09016116152582854, -0.10322200443203512, -0.0031486404717597587, 0.2683370761050467, -0.253681608373626, -0.27249879372028407, 0.11286150352629065, -0.323486193483532, -0.17534348278167544, 0.18471127255868755, -0.05906167230977301, 0.029115521479724793, 0.059600758481680886, 0.08723763869299243, -0.12129288026858774, -0.2643878473624538, 0.3828201735424891, -0.02915665803869304, 0.18983233198850302, 0.0277823700749299, 0.1401345759278915, -0.03984131306418005, 0.03274319385864625, -0.0036875435914401336, -0.1810970298168908, 0.1101986626479693, 0.1815481189916139, 0.05395602678981959, 0.22884699703896777, -0.4296314789701188, -0.17571013048699682, 0.05356187516876513, 0.1806072757309793, 0.09869507122008751, -0.0360241496778224, -0.2648184669751413, 0.04602506296022942, -0.14637823390627377, -0.21732925998635197, -0.054993744641379044, 0.008446710809182963, 0.002365744272410347, -0.20289555680121116, 0.06297663362516016, 0.08282477451128918, -0.007611679366642707, -0.12952171786884337, -0.09802003496575676, -0.04048390809462912, 0.0830706247667733, 0.06378489211936922, -0.004131532022974601, 0.028314745858344332, -0.14514415838608616, -0.059070523967149485, 0.4049779641311289, -0.07229228428089603, -0.26805610525046003, 0.16653977289975605, -0.1782396362171296, -0.09560461558009449, 0.11242389097286944, 0.1519410284440311, 0.1531440089232076, -0.16674685914870024, 0.0960178600461835, -0.054300425019678904, 0.13758349265870556, 0.0877089415464485, -0.019122787820698137, 0.16624332475884443, 0.12908088470392517, 0.08786067551537008, 0.15312297050759457, -0.014469158039183208, -0.09148904648936239, -0.3700946567563765, -0.22811822116930494, -0.12000045457266663, 0.09333342430909397, -0.0783542084969476, -0.2227399573547014, 0.4092604182129562, 0.14059669459075258, 0.18600601437419914, 0.002853240656437712, 0.23286352490009576, 0.2028013790483799, 0.04388277771833696, 0.07422399989394635, 0.23626591466988126, 0.11899161294486635, 0.1397083867953992, -0.20521578184132905, 0.007797500839571289, 0.10424797953792701] |
711.0613 | A Newman-Penrose Calculator for Instanton Metrics | We present a Maple11+GRTensorII based symbolic calculator for instanton
metrics using Newman-Penrose formalism. Gravitational instantons are exact
solutions of Einstein's vacuum field equations with Euclidean signature. The
Newman-Penrose formalism, which supplies a toolbox for studying the exact
solutions of Einstein's field equations, was adopted to the instanton case and
our code translates it for the computational use.
| gr-qc physics.comp-ph | we present a maple11grtensorii based symbolic calculator for instanton metrics using newmanpenrose formalism gravitational instantons are exact solutions of einsteins vacuum field equations with euclidean signature the newmanpenrose formalism which supplies a toolbox for studying the exact solutions of einsteins field equations was adopted to the instanton case and our code translates it for the computational use | [['we', 'present', 'a', 'maple11grtensorii', 'based', 'symbolic', 'calculator', 'for', 'instanton', 'metrics', 'using', 'newmanpenrose', 'formalism', 'gravitational', 'instantons', 'are', 'exact', 'solutions', 'of', 'einsteins', 'vacuum', 'field', 'equations', 'with', 'euclidean', 'signature', 'the', 'newmanpenrose', 'formalism', 'which', 'supplies', 'a', 'toolbox', 'for', 'studying', 'the', 'exact', 'solutions', 'of', 'einsteins', 'field', 'equations', 'was', 'adopted', 'to', 'the', 'instanton', 'case', 'and', 'our', 'code', 'translates', 'it', 'for', 'the', 'computational', 'use']] | [-0.15509191918369783, 0.0009342804821374427, -0.1438127650014524, 0.13819198343636735, -0.13605018286034465, -0.14014453144877084, -0.05482440122120481, 0.24700202461826848, -0.14682401763275266, -0.2623836231151862, 0.05785913027856233, -0.24812902357163175, -0.16638813014807446, 0.19988708364793897, 0.015271091966756753, 0.09549666896262872, 0.035783717558453124, 0.012618749385832675, -0.10989110879849509, -0.2507386141140679, 0.3666397166837539, 0.050406007952655534, 0.23595738209717507, 0.02385830236432542, 0.16988649874526476, -0.013963575483233268, -0.037529560878673304, 0.05035656619085265, -0.172308177911743, 0.11085244728850999, 0.2637400752407432, 0.19071246540573025, 0.14945031290075608, -0.4552307224366814, -0.21482501430104353, 0.03729237675517132, 0.1300045738379205, 0.2727102038147028, -0.030827566008416137, -0.3304342462173996, 0.05260021156781087, -0.1832874990068376, -0.1848851397267676, -0.13540789613034576, 0.0412076659808268, -0.02888510243168899, -0.23078258907272747, 0.01761302281270868, -0.035700171487405896, 0.005909373385033437, -0.13815090913392072, -0.10910564111379374, 0.04962298728475746, 0.07231656220808093, 0.12683694625905315, 0.08268959540873766, 0.11108331505342253, -0.10525172895930675, -0.10998208948876709, 0.4099504143731402, -0.10547699232120067, -0.3272979750763625, 0.07878311231615953, -0.06918448375030753, -0.08579484773300854, 0.11631398488368307, 0.11311944529214608, 0.23366823310165533, -0.16582487615440705, 0.2220923267377657, 0.01962829557513552, 0.13405678757200284, 0.1097464467914376, -0.018580133211798966, 0.23669390912566865, 0.06413588356891912, -0.03751031508935349, 0.14166537969971874, 0.02256012092610555, -0.151512191052981, -0.3850198042845087, -0.20814993795764686, -0.12098380128320839, 0.1306458703433496, -0.1400169416694033, -0.23469370844707424, 0.37291577245507923, 0.14961090356311096, -0.001984033317837332, 0.13041817669831549, 0.2901700498602752, 0.14610634372781664, 0.05463101798003273, 0.08631740305697479, 0.2606822288861232, 0.17216787602852232, 0.1442843749786594, -0.21863243053667247, -0.09984603219865155, 0.21791045514068433] |
711.0614 | Multiplier ideal sheaves and integral invariants on toric Fano manifolds | We extend Nadel's results on some conditions for the multiplier ideal sheaves
to satisfy which are described in terms of an obstruction defined by the first
author. Applying our extension we can determine the multiplier ideal sheaves on
toric del Pezzo surfaces which do not admit K\"ahler-Einstein metrics. We also
show that one can define multiplier ideal sheaves for K\"ahler-Ricci solitons
and extend the result of Nadel using the holomorphic invariant defined by Tian
and Zhu.
| math.DG math.AG math.CV | we extend nadels results on some conditions for the multiplier ideal sheaves to satisfy which are described in terms of an obstruction defined by the first author applying our extension we can determine the multiplier ideal sheaves on toric del pezzo surfaces which do not admit kahlereinstein metrics we also show that one can define multiplier ideal sheaves for kahlerricci solitons and extend the result of nadel using the holomorphic invariant defined by tian and zhu | [['we', 'extend', 'nadels', 'results', 'on', 'some', 'conditions', 'for', 'the', 'multiplier', 'ideal', 'sheaves', 'to', 'satisfy', 'which', 'are', 'described', 'in', 'terms', 'of', 'an', 'obstruction', 'defined', 'by', 'the', 'first', 'author', 'applying', 'our', 'extension', 'we', 'can', 'determine', 'the', 'multiplier', 'ideal', 'sheaves', 'on', 'toric', 'del', 'pezzo', 'surfaces', 'which', 'do', 'not', 'admit', 'kahlereinstein', 'metrics', 'we', 'also', 'show', 'that', 'one', 'can', 'define', 'multiplier', 'ideal', 'sheaves', 'for', 'kahlerricci', 'solitons', 'and', 'extend', 'the', 'result', 'of', 'nadel', 'using', 'the', 'holomorphic', 'invariant', 'defined', 'by', 'tian', 'and', 'zhu']] | [-0.17252818816096374, -0.015447625398481154, -0.10424581183561761, 0.11202594079077244, -0.11119609048871912, -0.17660202085971832, -0.07507681817208466, 0.30918739571873294, -0.28455133888086204, -0.19222973980695793, 0.12174571627646831, -0.21794722074838846, -0.16112377445556617, 0.225441315264968, -0.22930460268521288, 0.011242448768921588, 0.023975337304076867, 0.011467638008884694, -0.11288709394131347, -0.36894590138016564, 0.5206834627070317, 0.008003690623139081, 0.24340043832106809, 0.14419681515152516, 0.11599349351232185, 0.004316795084282364, -0.010644142479194622, -0.01112523015992912, -0.2197039316713352, 0.08230076270717147, 0.3162152926333396, 0.04294783546050128, 0.13448698671632692, -0.407722689333911, -0.16552485474140236, 0.17735400910513768, 0.10599749849643558, -0.008935261125627317, -0.011127341603002461, -0.2887301712394937, 0.139548412989825, -0.16496936887453653, -0.1936474903976839, -0.15724986145812037, -0.0591625169556784, 0.10292990967680357, -0.24091934649224736, -0.04494419635471116, 0.13394656686700487, 0.10142604979735456, -0.09370975470856617, -0.0677933262991964, -0.09314122066624757, 0.016854277903851318, -0.05421970095975619, 0.04886395862865213, 0.1143654405053607, -0.06217075482020032, -0.15738726838945263, 0.31119074995972607, -0.17018940725584367, -0.30224213067834316, 0.10197063590289633, -0.08157179988675604, -0.12594781839901484, 0.0864712484671097, 0.0335594619272773, 0.22743778266502837, 0.007584804984569354, 0.14833706656425324, -0.1437824842961211, 0.031063666297613007, 0.17787352157143974, -0.022117843551218118, 0.11112039316886742, 0.06762954168095205, 0.11860616436828614, 0.07927942925782286, -0.01497761465878667, -0.026794474210443075, -0.39212297510943916, -0.24242650802051158, -0.11674268219289125, 0.17804652180137437, -0.032103726410193635, -0.1193420311779176, 0.427934633004234, 0.09584895270496704, 0.1780873998558443, 0.12869992071921987, 0.18533507954807169, 0.034641470044765525, 0.03863484473702939, 0.09429868932592829, 0.22672285664846545, 0.1994610490142613, -0.013991654299101547, -0.07309282616418052, -0.02415743727531088, 0.2821414133313259] |
711.0615 | Painlev\'e structure of a multi-ion electrodiffusion system | A nonlinear coupled system descriptive of multi-ion electrodiffusion is
investigated and all parameters for which the system admits a single-valued
general solution are isolated. This is achieved \textit{via} a method initiated
by Painleve' with the application of a test due to Kowalevski and Gambier. The
solutions can be obtained explicitly in terms of Painleve' transcendents or
elliptic functions.
| nlin.SI | a nonlinear coupled system descriptive of multiion electrodiffusion is investigated and all parameters for which the system admits a singlevalued general solution are isolated this is achieved textitvia a method initiated by painleve with the application of a test due to kowalevski and gambier the solutions can be obtained explicitly in terms of painleve transcendents or elliptic functions | [['a', 'nonlinear', 'coupled', 'system', 'descriptive', 'of', 'multiion', 'electrodiffusion', 'is', 'investigated', 'and', 'all', 'parameters', 'for', 'which', 'the', 'system', 'admits', 'a', 'singlevalued', 'general', 'solution', 'are', 'isolated', 'this', 'is', 'achieved', 'textitvia', 'a', 'method', 'initiated', 'by', 'painleve', 'with', 'the', 'application', 'of', 'a', 'test', 'due', 'to', 'kowalevski', 'and', 'gambier', 'the', 'solutions', 'can', 'be', 'obtained', 'explicitly', 'in', 'terms', 'of', 'painleve', 'transcendents', 'or', 'elliptic', 'functions']] | [-0.14605172768492122, 0.015814801485374057, -0.055687326002576996, 0.03908076087326004, -0.06466391530883467, -0.20382327104693856, -0.027696857887223876, 0.2426035366149555, -0.2579582350424908, -0.23922620180608897, 0.11902866838299188, -0.28033422473175773, -0.16285096502718355, 0.22361938608408874, -0.04111192405930367, 0.10885341303294589, 0.08881384184070189, 0.030283067439650667, -0.08125420133904393, -0.24979044749915344, 0.34996513585592137, -0.049632859544764305, 0.20136543984749708, 0.014284091608213454, 0.15070150861645054, -0.04425339492896957, 0.01939387544026149, 0.05565805581462537, -0.08560738411475101, 0.09999769941927737, 0.2954910655730757, 0.06886628592900675, 0.23567844143715397, -0.3785910755717035, -0.19661378501593296, 0.07994006466570086, 0.15242781895533974, 0.10477128256200652, -0.02216941971685095, -0.3030595245995912, 0.05478969497349242, -0.16934621322835827, -0.2195103122643998, -0.09828371455459374, 0.0058208994390764116, 0.10427444121511333, -0.3277618775369021, 0.08789991804173794, 0.06655726625166576, 0.05096337770850494, -0.04409779824220158, -0.0376428039202563, -0.05156090474237913, 0.044885208175902996, 0.020893715418361384, 0.02145692282998613, 0.04143656598371935, -0.14408122938013926, -0.1014296877657561, 0.41458380233560654, -0.0657527628314585, -0.28959575395003473, 0.15750195207234857, -0.08423504018995526, -0.09414910015264719, 0.14800640850745397, 0.13868878202127485, 0.17962292136206967, -0.2105926587728077, 0.14339515591513943, -0.036358779296278954, 0.13183478160825526, 0.10870349292386451, -0.04264549795710803, 0.16060121055162543, 0.13741445366357422, -0.005077449380066888, 0.1655647912492237, 0.04723278150476258, -0.09503847902544357, -0.31913238750963374, -0.1807716153401496, -0.12594629252722872, 0.07968558258666046, -0.04360791206598715, -0.16457505939239314, 0.45252819417108747, 0.05389698109075684, 0.11550473669897122, 0.021111306680189765, 0.20476070903883925, 0.23329240081687297, 0.03323410611985059, 0.021584567611892546, 0.23339945744273477, 0.1371539070688445, 0.100185893259236, -0.22589457905369587, 0.03208915447687794, 0.1862056301746132] |
711.0616 | Billiard scattering on rough sets: two-dimensional case | The notion of a rough two-dimensional (convex) body is introduced, and to
each rough body there is assigned a measure on $\TTT^3$ describing billiard
scattering on the body. The main result is characterization of the set of
measures generated by rough bodies. This result can be used to solve various
problems of least aerodynamical resistance.
| math.DS math.OC | the notion of a rough twodimensional convex body is introduced and to each rough body there is assigned a measure on ttt3 describing billiard scattering on the body the main result is characterization of the set of measures generated by rough bodies this result can be used to solve various problems of least aerodynamical resistance | [['the', 'notion', 'of', 'a', 'rough', 'twodimensional', 'convex', 'body', 'is', 'introduced', 'and', 'to', 'each', 'rough', 'body', 'there', 'is', 'assigned', 'a', 'measure', 'on', 'ttt3', 'describing', 'billiard', 'scattering', 'on', 'the', 'body', 'the', 'main', 'result', 'is', 'characterization', 'of', 'the', 'set', 'of', 'measures', 'generated', 'by', 'rough', 'bodies', 'this', 'result', 'can', 'be', 'used', 'to', 'solve', 'various', 'problems', 'of', 'least', 'aerodynamical', 'resistance']] | [-0.1176478973141423, 0.10720616820509787, -0.11092310297061447, 0.026011061324324045, -0.05837924507688041, -0.08980948976413519, -0.016744523447144916, 0.31812932107735564, -0.3252402479863829, -0.26728613660843287, 0.09237722853302127, -0.3313183124625572, -0.1478089663820962, 0.22905839025905286, -0.1863799467337904, 0.1126238602489509, 0.07229375752999827, 0.02071025125095966, -0.001188025275176322, -0.22376372170186154, 0.37201654028009484, -0.06469784179460947, 0.1754090959482171, 0.08546874377255638, 0.13299426862418098, 0.0449266380423473, -0.04699706582835427, 0.11513756493244458, -0.20210271925423984, 0.19613691166698657, 0.2298998659890559, 0.11273387810905222, 0.24704027407009294, -0.39868754938382794, -0.22023225028964658, 0.09081879634134195, 0.04541449107367684, 0.06383174575037426, -0.009808710756866882, -0.27201028835649294, 0.09521574550308287, -0.09996657487418917, -0.17511753810362685, 0.004331299198653411, 0.060148333923684225, -0.007655567627538134, -0.24110623944067844, 0.020929699539448374, 0.09639487546627168, 0.0481221912988177, -0.11185594866293724, -0.07215739557243607, 0.00027183359445728084, 0.11447052835245375, 0.06886640876203913, 0.08443977738972064, 0.14234428156029294, -0.04667218672370331, -0.11556351895409601, 0.4092415697458718, -0.01826053661190801, -0.27390493262835125, 0.2591844819210194, -0.1487373715456299, -0.02748859306383464, 0.13173076276736403, 0.22337827693533013, 0.1257575727024771, -0.21436164986894088, 0.04371785280980273, -0.1226601913674838, 0.11460335973512244, 0.1212698087717096, -0.05108986715613692, 0.18770832411461957, 0.19527185247797105, 0.13588388545300673, 0.17363952373421784, -0.03513379178561822, -0.07260815252515453, -0.3037558288003008, -0.13200424171777236, -0.24148427223338298, 0.04251728929510271, -0.060480895538165456, -0.23357457099390794, 0.33863279940905394, 0.08522259584559058, 0.21632457545234096, 0.025059612640352162, 0.27086370054166764, 0.15080870041021155, 0.06533330494292183, 0.03316924061315755, 0.19237718189618103, 0.18122872170836976, 0.010517152043542376, -0.16904753387077814, 0.11227333445653871, 0.10494082020940604] |
711.0617 | On the stochastic Burgers equation with some applications to turbulence
and astrophysics | We summarise a selection of results on the inviscid limit of the stochastic
Burgers equation emphasising geometric properties of the caustic, Maxwell set
and Hamilton-Jacobi level surfaces and relating these results to a discussion
of stochastic turbulence. We show that for small viscosities there exists a
vortex filament structure near to the Maxwell set. We discuss how this
vorticity is directly related to the adhesion model for the evolution of the
early universe and include new explicit formulas for the distribution of mass
within the shock.
| math.PR | we summarise a selection of results on the inviscid limit of the stochastic burgers equation emphasising geometric properties of the caustic maxwell set and hamiltonjacobi level surfaces and relating these results to a discussion of stochastic turbulence we show that for small viscosities there exists a vortex filament structure near to the maxwell set we discuss how this vorticity is directly related to the adhesion model for the evolution of the early universe and include new explicit formulas for the distribution of mass within the shock | [['we', 'summarise', 'a', 'selection', 'of', 'results', 'on', 'the', 'inviscid', 'limit', 'of', 'the', 'stochastic', 'burgers', 'equation', 'emphasising', 'geometric', 'properties', 'of', 'the', 'caustic', 'maxwell', 'set', 'and', 'hamiltonjacobi', 'level', 'surfaces', 'and', 'relating', 'these', 'results', 'to', 'a', 'discussion', 'of', 'stochastic', 'turbulence', 'we', 'show', 'that', 'for', 'small', 'viscosities', 'there', 'exists', 'a', 'vortex', 'filament', 'structure', 'near', 'to', 'the', 'maxwell', 'set', 'we', 'discuss', 'how', 'this', 'vorticity', 'is', 'directly', 'related', 'to', 'the', 'adhesion', 'model', 'for', 'the', 'evolution', 'of', 'the', 'early', 'universe', 'and', 'include', 'new', 'explicit', 'formulas', 'for', 'the', 'distribution', 'of', 'mass', 'within', 'the', 'shock']] | [-0.13867148767810228, 0.07411486465960394, -0.09443905935514459, 0.10144026000404643, -0.09835002792262754, -0.05171111659796605, 0.004963432318872101, 0.2888437873727187, -0.27208809047764126, -0.2576287759164738, 0.08744656737977748, -0.24305951162674572, -0.14489341180684956, 0.20037358139132605, -0.030691302838149144, 0.056846246751415176, 0.04220544763158487, -0.014890007088556452, -0.05693372700439203, -0.21409788010587785, 0.39013999833747054, 0.034358310727077686, 0.22765541524994512, 0.06780751026100154, 0.14118982544222977, -0.06105775149474137, -0.0254238914849973, 0.031387586444399734, -0.23939039079828775, 0.08245681106047921, 0.17319487392101005, 0.0905863827495121, 0.23618232839210176, -0.4581392734246545, -0.2097534412317801, 0.05008269819366031, 0.12475612771806989, 0.1451829832404592, -0.04038903609508389, -0.255216559979978, 0.07135567049019385, -0.11995489600819785, -0.1881407853649106, -0.06354020114143401, 0.0369759572908109, 0.0699910142521244, -0.21727899603645837, 0.1165207378988609, 0.07369546629055294, 0.01065876890991836, -0.1257226576238091, -0.092587016999375, -0.041579966747396904, 0.07178962133759849, 0.0884767942588105, 0.007166331971326822, 0.138235297091955, -0.19371904509391116, -0.06312811596124152, 0.40177023980419996, -0.07790561708578364, -0.22481619137837444, 0.18395026943234857, -0.16943753365600525, -0.14470489781219945, 0.12853369839911805, 0.1748352307219838, 0.06899037532681643, -0.13920101064303347, 0.056207983904155406, -0.06983789263379782, 0.10423541432354859, 0.07292855887533013, -0.01925502258872743, 0.22873453713606956, 0.18806613279983056, 0.03983642519884851, 0.13296082725770078, -0.10858548783729675, -0.12405545931569366, -0.3981842825752358, -0.18199426199980948, -0.14338406699514666, 0.05283688189635097, -0.1254493043763728, -0.19017698338829242, 0.378287085857199, 0.1867777363445913, 0.1772256746294578, 0.08234068792621974, 0.23411850998757494, 0.13758964321967268, 0.0013302124516908513, 0.0988496071198782, 0.24679898627124033, 0.17986786225810647, 0.1310836911298941, -0.2546040765063967, 0.0029763394728476223, 0.11126719960512399] |
711.0618 | PIDoc: Wiki style Literate Programming for Prolog | This document introduces PlDoc, a literate programming system for Prolog.
Starting point for PlDoc was minimal distraction from the programming task and
maximal immediate reward, attempting to seduce the programmer to use the
system. Minimal distraction is achieved using structured comments that are as
closely as possible related to common Prolog documentation practices. Immediate
reward is provided by a web interface powered from the Prolog development
environment that integrates searching and browsing application and system
documentation. When accessed from localhost, it is possible to go from
documentation shown in a browser to the source code displayed in the user's
editor of choice.
| cs.PL cs.SE | this document introduces pldoc a literate programming system for prolog starting point for pldoc was minimal distraction from the programming task and maximal immediate reward attempting to seduce the programmer to use the system minimal distraction is achieved using structured comments that are as closely as possible related to common prolog documentation practices immediate reward is provided by a web interface powered from the prolog development environment that integrates searching and browsing application and system documentation when accessed from localhost it is possible to go from documentation shown in a browser to the source code displayed in the users editor of choice | [['this', 'document', 'introduces', 'pldoc', 'a', 'literate', 'programming', 'system', 'for', 'prolog', 'starting', 'point', 'for', 'pldoc', 'was', 'minimal', 'distraction', 'from', 'the', 'programming', 'task', 'and', 'maximal', 'immediate', 'reward', 'attempting', 'to', 'seduce', 'the', 'programmer', 'to', 'use', 'the', 'system', 'minimal', 'distraction', 'is', 'achieved', 'using', 'structured', 'comments', 'that', 'are', 'as', 'closely', 'as', 'possible', 'related', 'to', 'common', 'prolog', 'documentation', 'practices', 'immediate', 'reward', 'is', 'provided', 'by', 'a', 'web', 'interface', 'powered', 'from', 'the', 'prolog', 'development', 'environment', 'that', 'integrates', 'searching', 'and', 'browsing', 'application', 'and', 'system', 'documentation', 'when', 'accessed', 'from', 'localhost', 'it', 'is', 'possible', 'to', 'go', 'from', 'documentation', 'shown', 'in', 'a', 'browser', 'to', 'the', 'source', 'code', 'displayed', 'in', 'the', 'users', 'editor', 'of', 'choice']] | [-0.08870189921348355, -0.03240146454423666, -0.04077329215695499, 0.08817737688426859, -0.21787836674600838, -0.2407912546163425, 0.0842857373971492, 0.4177624873910099, -0.3160060658957809, -0.33279157722368835, 0.11294325833907351, -0.29687399879097937, -0.12282788620330393, 0.21895036390051245, -0.11895674008876085, 0.04058037779293954, 0.07481362862949027, 0.06992598235374317, -0.008865206787595526, -0.25462160382419824, 0.2728928126208484, 0.1150568653549999, 0.2237108982540667, 0.050267500514164565, 0.08128278599586337, 0.016571598856244235, -0.04805102313868701, -0.050031206076964735, -0.04204466087117908, 0.10035125395981595, 0.3946644042781554, 0.3293287705854164, 0.2995402768161148, -0.3875859264470637, -0.12204131101258099, -0.04746745969168842, 0.10003161733096931, 0.08375587089452892, -0.06455872917547822, -0.34703155970200894, 0.06944561955053359, -0.22867502719163896, -0.07522147372364998, -0.0490142004750669, 0.0020832050032913683, -0.014680436397902667, -0.24078782791271805, -0.0804665236826986, 0.06315492839552463, 0.1279174003750086, -0.0062685801251791415, -0.07913443371304311, -0.06402693711221218, 0.17806851058878237, 0.08777598173124716, 0.10517523099202662, 0.19094177283346653, -0.11677627169294283, -0.14916829895228148, 0.41447258651256563, -0.00916548324516043, -0.15111758964136243, 0.22336824576370418, -0.007623664080165326, -0.09152973318006843, 0.09968271112535149, 0.17705251778941603, 0.06412713224533945, -0.24917581430476277, 0.08945781597692985, -0.006079834489501081, 0.22918626705330097, 0.06928166981204413, -0.01779794754460454, 0.22208426546538249, 0.2236845136154443, 0.026132603648584336, 0.19580572637263685, 0.06053039101883769, -0.06884765868191607, -0.27886237531900404, -0.16872301208321006, -0.17057758497074246, 0.0046784460335038604, -0.03607841489792918, -0.15280528406816302, 0.3604182345256413, 0.23791714483872056, 0.049954035221599045, 0.04125078529817983, 0.32202570396475494, 0.018113294250797482, 0.14199795899912715, 0.13265188759600277, 0.0829324156511575, -0.032542132083326576, 0.20282194855157287, -0.13396356344688684, 0.15653619495686144, 0.040325204680557364] |
711.0619 | Reflected BSDE with quadratic growth and unbounded terminal value | In this paper we prove the existence of a solution for reflected BSDE's\
whose coefficient is of quadratic growth in $z$ and of linear growth in $y$,
with an unbounded terminal value.
| math.SG math.PR | in this paper we prove the existence of a solution for reflected bsdes whose coefficient is of quadratic growth in z and of linear growth in y with an unbounded terminal value | [['in', 'this', 'paper', 'we', 'prove', 'the', 'existence', 'of', 'a', 'solution', 'for', 'reflected', 'bsdes', 'whose', 'coefficient', 'is', 'of', 'quadratic', 'growth', 'in', 'z', 'and', 'of', 'linear', 'growth', 'in', 'y', 'with', 'an', 'unbounded', 'terminal', 'value']] | [-0.17754347465233877, 0.06896716490564359, -0.055451243970310315, -0.04120167961809784, -0.0565134443459101, -0.1208614112547366, -0.006212764455995057, 0.30573955111321993, -0.3852562983520329, -0.188910604105331, 0.14626527733707917, -0.2891576795373112, -0.1278188539436087, 0.19364335492718965, -0.100924806058174, 0.04661986051360145, -0.027716391894500703, 0.04157158697489649, -0.03912868187762797, -0.30088057555258274, 0.34521029936149716, -0.0516947676660493, 0.15849030716344714, 0.04284442245261744, 0.18774016507086344, 0.0361750277079409, 0.012720048136543483, 0.028302370163146406, -0.22020724366302602, 0.149094767839415, 0.2710144624579698, 0.049829811170639005, 0.3372198120923713, -0.3559664686326869, -0.1256107143999543, 0.13717128176358528, 0.10443967799074017, 0.056565982071333565, -0.12237651533359895, -0.16728266957215965, 0.1233937118704489, -0.11339116495946655, -0.21139326185220852, 0.08189729759760667, 0.05234846647363156, 0.08014092357552727, -0.34727950720116496, 0.12360338706639595, 0.10521952256385703, 0.06911524464157992, -0.10015561533509754, -0.03885226906277239, -0.09257673064712435, -0.005766235932242125, 0.10783679412998026, 0.008810592626105063, -0.013375157985137776, -0.1453370113085839, -0.12385256087873131, 0.29680581053253263, -0.17361950152553618, -0.2395214179996401, 0.14937411242863163, -0.22562877761083655, -0.09817578596266685, 0.14256660582032055, 0.22722729318775237, 0.16195601766230538, -0.15251532034017146, 0.20045796161684848, -0.055862963519757614, 0.1398166913422756, 0.09397751934011467, 0.010753150636446662, 0.10734365589451045, 0.15049982562777586, 0.18573638290399686, 0.14784523936396, 0.027790561318397522, -0.06403630331624299, -0.36258088727481663, -0.23023890182957985, -0.13392498914618045, 0.13568093526919256, -0.12452458066354666, -0.21133608437594376, 0.34390389383770525, 0.07222258943511406, 0.2509761955589056, 0.12822973734000698, 0.19075845593761187, 0.24129408184671775, -0.04394422660698183, 0.07924119308881927, 0.20317911836900748, 0.13316105346166296, 0.10846857720753178, -0.21530771850666497, 0.14493515879439656, 0.10013686009915546] |
711.062 | Formulating Light Cone QCD on the Lattice | We present the near light cone Hamiltonian $H$ in lattice QCD depending on
the parameter $\eta$, which gives the distance to the light cone. Since the
vacuum has zero momentum we can derive an effective Hamiltonian $H_{eff}$ from
$H$ which is only quadratic in the momenta and therefore solvable by standard
methods. An approximate ground state wave functional is determined
variationally in the limit $\eta \to 0$.
| hep-lat hep-th | we present the near light cone hamiltonian h in lattice qcd depending on the parameter eta which gives the distance to the light cone since the vacuum has zero momentum we can derive an effective hamiltonian h_eff from h which is only quadratic in the momenta and therefore solvable by standard methods an approximate ground state wave functional is determined variationally in the limit eta to 0 | [['we', 'present', 'the', 'near', 'light', 'cone', 'hamiltonian', 'h', 'in', 'lattice', 'qcd', 'depending', 'on', 'the', 'parameter', 'eta', 'which', 'gives', 'the', 'distance', 'to', 'the', 'light', 'cone', 'since', 'the', 'vacuum', 'has', 'zero', 'momentum', 'we', 'can', 'derive', 'an', 'effective', 'hamiltonian', 'h_eff', 'from', 'h', 'which', 'is', 'only', 'quadratic', 'in', 'the', 'momenta', 'and', 'therefore', 'solvable', 'by', 'standard', 'methods', 'an', 'approximate', 'ground', 'state', 'wave', 'functional', 'is', 'determined', 'variationally', 'in', 'the', 'limit', 'eta', 'to', '0']] | [-0.14555507802418363, 0.18735795553274967, -0.11229455963110746, 0.03990062300129724, -0.07320091623548808, -0.12842036283283093, 0.05347975712867259, 0.35875733469181986, -0.2818674651120525, -0.24433619245441993, 0.044521579166193176, -0.26499104594339185, -0.06106495105925558, 0.1489730033391058, 0.01921056671095873, 0.06431924466933332, 0.039851716775169126, 0.09764546565294488, -0.12462282829931867, -0.19740702029762427, 0.3248114609229031, 0.03579893897968664, 0.18759505566098353, 0.08428140072874836, 0.09300112246132608, 0.057437106730666626, 0.06746963104372149, -0.013449350955770977, -0.18190566116749352, 0.06292407222981773, 0.20808204803476804, 0.040658285148935255, 0.18454222882308982, -0.3554624051078042, -0.16380930682227238, 0.10537253495361378, 0.15186351897723194, 0.11718563602389351, 0.04280325270487246, -0.28357850077714936, 0.03308261357727391, -0.10839003975044435, -0.1926753265546885, -0.09962931781340001, 0.02784150035412454, -0.05632580927948454, -0.26946422983127744, 0.05928769465596693, -7.52013440786013e-06, 0.01354513807089108, -0.04490229796006608, -0.170470856866841, -0.06889580237442877, 0.041878823635738284, 0.06765600019343086, 0.11437070926776462, 0.08646803841328443, -0.1317661601716458, -0.07246339848654261, 0.4023755715270318, -0.10338095957135308, -0.22183105934180194, 0.11396030853710958, -0.14075244156254538, -0.05238147953580787, 0.17670568979845674, 0.1385250878728815, 0.14465333421283694, -0.15194357532674252, 0.2142492691393761, -0.030344628617506295, 0.1537946409253932, 0.017630048902399505, 0.02517823738727107, 0.1687358263045994, 0.07031100717331491, 0.09819305576940081, 0.10885043139221953, -0.09765152222782707, -0.12206287484671642, -0.3310183234401603, -0.1299924109297902, -0.23009065337784923, 0.10114067701736652, -0.08572914725870638, -0.14872254071924002, 0.3790094020095334, 0.08271763505024919, 0.2131946979980193, 0.013419148724164758, 0.24248139726331652, 0.21430937742897824, 0.03033921998967208, 0.11032442841505104, 0.31912502070972276, 0.13494579975993665, 0.052609041103842985, -0.27190730924050865, -0.02532936464439132, 0.12754856055574632] |
711.0621 | The Starburst-AGN connection: The role of stellar clusters in AGNs | Nuclear stellar clusters are a common phenomenon in spirals and in starbursts
galaxies, and they may be a natural consequence of the star formation processes
in the central regions of galaxies. HST UV imaging of a few Seyfert 2 galaxies
have resolved nuclear starbursts in Seyfert 2 revealing stellar clusters as the
main building blocks of the extended emission. However, we do not know whether
stellar clusters are always associated with all types of nuclear activity. We
present NUV and optical images provided by HST to find out the role that
stellar clusters play in different types of AGNs (Seyferts and LLAGNs). Also
with these images, we study the circumnuclear dust morphology as a probe of the
circumnuclear environment of AGNs. Here we present a summary of the the first
results obtained for the sample of Seyferts and LLAGN galaxies.
| astro-ph | nuclear stellar clusters are a common phenomenon in spirals and in starbursts galaxies and they may be a natural consequence of the star formation processes in the central regions of galaxies hst uv imaging of a few seyfert 2 galaxies have resolved nuclear starbursts in seyfert 2 revealing stellar clusters as the main building blocks of the extended emission however we do not know whether stellar clusters are always associated with all types of nuclear activity we present nuv and optical images provided by hst to find out the role that stellar clusters play in different types of agns seyferts and llagns also with these images we study the circumnuclear dust morphology as a probe of the circumnuclear environment of agns here we present a summary of the the first results obtained for the sample of seyferts and llagn galaxies | [['nuclear', 'stellar', 'clusters', 'are', 'a', 'common', 'phenomenon', 'in', 'spirals', 'and', 'in', 'starbursts', 'galaxies', 'and', 'they', 'may', 'be', 'a', 'natural', 'consequence', 'of', 'the', 'star', 'formation', 'processes', 'in', 'the', 'central', 'regions', 'of', 'galaxies', 'hst', 'uv', 'imaging', 'of', 'a', 'few', 'seyfert', '2', 'galaxies', 'have', 'resolved', 'nuclear', 'starbursts', 'in', 'seyfert', '2', 'revealing', 'stellar', 'clusters', 'as', 'the', 'main', 'building', 'blocks', 'of', 'the', 'extended', 'emission', 'however', 'we', 'do', 'not', 'know', 'whether', 'stellar', 'clusters', 'are', 'always', 'associated', 'with', 'all', 'types', 'of', 'nuclear', 'activity', 'we', 'present', 'nuv', 'and', 'optical', 'images', 'provided', 'by', 'hst', 'to', 'find', 'out', 'the', 'role', 'that', 'stellar', 'clusters', 'play', 'in', 'different', 'types', 'of', 'agns', 'seyferts', 'and', 'llagns', 'also', 'with', 'these', 'images', 'we', 'study', 'the', 'circumnuclear', 'dust', 'morphology', 'as', 'a', 'probe', 'of', 'the', 'circumnuclear', 'environment', 'of', 'agns', 'here', 'we', 'present', 'a', 'summary', 'of', 'the', 'the', 'first', 'results', 'obtained', 'for', 'the', 'sample', 'of', 'seyferts', 'and', 'llagn', 'galaxies']] | [0.00013178963480251177, 0.06710212195425161, -0.06160889768174716, 0.1630704103495061, -0.06353240401949733, -0.029394820029847325, 0.010367165628953704, 0.5080959726923279, -0.1010235609353653, -0.31854382577751367, 0.045943759533942544, -0.27559747683948704, -0.06609147765806743, 0.17649299897810644, -0.03729143552149513, -0.07764695988236262, 0.013488563908530133, -0.13239580521892225, -0.007886423077434302, -0.30590702550751825, 0.3574518050399742, 0.043880786609744454, 0.10884548567701131, -0.05445701730537361, 0.049463695683516565, -0.10588746636640281, -0.10560821109850492, -0.016604869001145873, -0.14458514901785488, 0.04981631991021069, 0.34147381565666624, 0.15712503021849053, 0.25324436209297607, -0.39749923979704493, -0.21296091810800136, 0.09314400567673146, 0.2454208721872419, 0.0402003022442971, -0.11229063444022488, -0.2539796322251537, 0.05877841472226594, -0.16682688409595617, -0.1427156972915067, 0.05358215067535639, 0.019487192157456385, 0.06985835279753831, -0.19100962585570025, 0.15664574668023437, 0.06484082564961031, 0.13115648665531937, -0.1549843416283173, -0.05604455254340012, -0.0473950083267742, 0.12570463747418087, -0.007789461050664873, 0.04691992197352062, 0.24927788340885723, -0.19825165333958075, -0.05986618929143463, 0.41236510710857277, 0.03778908169229648, 0.02733258515498684, 0.28018190453128355, -0.24538320272695274, -0.2235296285910798, 0.07897284260086183, 0.16047295410951068, 0.1366897822357714, -0.13826136529844787, -0.016054560106463864, -0.07956900674783225, 0.2320643341534638, -0.0070730818967734066, 0.13877628563038472, 0.3084383652246158, 0.08500625058742506, 0.036716469107860965, 0.11607138484999138, -0.20432672658976767, 0.01721285436734823, -0.2600858733956037, -0.0844287653844471, -0.11350679826739776, 0.1261119158276415, -0.14804104383583763, -0.08323854030625495, 0.3573740939376876, 0.032921022021244944, 0.25247315585480207, 0.014016544386478407, 0.27518154984406595, 0.016085607776351804, 0.15498210501724055, 0.11419172478906278, 0.31213425562850067, 0.17197616594078552, 0.051683204574510457, -0.23810456254120385, 0.03790017650795302, 0.012146613141521812] |
711.0622 | Excited hadrons on the lattice - State of the art and future challenges | We review the techniques of lattice QCD calculations for excited hadrons with
light quarks and outline the future challenges that are faced in calculations
with fully dynamical fermions.
| hep-lat hep-ph nucl-th | we review the techniques of lattice qcd calculations for excited hadrons with light quarks and outline the future challenges that are faced in calculations with fully dynamical fermions | [['we', 'review', 'the', 'techniques', 'of', 'lattice', 'qcd', 'calculations', 'for', 'excited', 'hadrons', 'with', 'light', 'quarks', 'and', 'outline', 'the', 'future', 'challenges', 'that', 'are', 'faced', 'in', 'calculations', 'with', 'fully', 'dynamical', 'fermions']] | [-0.07332300409741167, 0.311597750888073, -0.08634487243502267, 0.08230473194271326, -0.045940991158464124, -0.12840687721784758, 0.044345045661819835, 0.4327925898666893, -0.18243676290980407, -0.2138200089102611, 0.04379708119917528, -0.3966265557599919, -0.075921805159721, 0.10569045518059283, 0.05954043321045382, 0.13990872416512243, 0.1776031721050718, -0.11170167954904693, -0.12092547014721536, -0.2567861517226057, 0.35553627527718035, -0.02273926416611565, 0.1739572881321822, 0.17984603751184686, -0.006790913907544953, 0.01132061389008803, -0.070466023071536, -0.05326243230540838, -0.13905406952030067, 0.13816191675141454, 0.26196632304761025, 0.022686978868607963, 0.1699257003409522, -0.5061182321182319, -0.2130979951138475, 0.009207567632464426, 0.151518896538099, 0.2059438008415912, -0.11880678374187223, -0.27619923085772563, 0.09035134509031195, -0.17590629256197385, -0.243236742082185, -0.19335640494578651, -0.08731857328010457, -0.005367637844756246, -0.22902045887894928, 0.008617348636367492, -0.105515520143464, 0.040931659330193985, -0.03228690104359495, -0.219664398481005, 0.004333436089966979, 0.03757956910080144, 0.12740060204773077, 0.07436132317941103, 0.10893472891101348, -0.2225671802713935, -0.2694590524105089, 0.506442520235266, -0.04804158235284766, -0.15268686413764954, 0.14299593490016246, -0.1494837687683425, -0.20878126271002526, 0.05164691699402673, 0.16807927450697338, 0.049618192349693606, -0.1731534458231181, 0.0909549845694398, 0.016326340846717358, 0.1371591133730752, -0.038835335040598044, 0.11838018263889742, 0.2864467802324465, 0.24341415178163775, -0.08377439324145339, 0.025120293156110814, -0.02960365212389401, -0.14293880670863604, -0.3362519010635359, -0.0813550896210862, -0.11950729035639338, 0.022034221594887122, -0.013944655489987261, -0.10814186847502631, 0.392938596728657, 0.17377935810613312, 0.15556436916813254, -0.017629310422177826, 0.3291139639914036, 0.06166603409552148, 0.007445676318768944, 0.10500827075780503, 0.26322055059634814, 0.1525505954798843, 0.13751136866630986, -0.2657197321657025, -0.10705181705166719, 0.07953373113247965] |
711.0623 | Alternating Heisenberg Spin-1/2 Chains in a Transverse Magnetic Field | The ground state phase diagram of the alternating spin-1/2 chains with
anisotropic ferromagnetic coupling under the influence of a symmetry breaking
transverse magnetic field is studied. We have used the exact diagonalization
technique. In the limit where the antiferromagnetic coupling is dominant, we
have identified two Ising-type quantum phase transitions. We have calculated
two critical fields $h_{c_{1}}$ and
$h_{c_{2}}$, corresponding to the transition between different magnetic
phases of the system. It is found that the intermediate state
($h_{c_{1}}<h<h_{c_{2}}$) is gapful, describing the stripe-antiferromagnetic
phase.
| cond-mat.str-el | the ground state phase diagram of the alternating spin12 chains with anisotropic ferromagnetic coupling under the influence of a symmetry breaking transverse magnetic field is studied we have used the exact diagonalization technique in the limit where the antiferromagnetic coupling is dominant we have identified two isingtype quantum phase transitions we have calculated two critical fields h_c_1 and h_c_2 corresponding to the transition between different magnetic phases of the system it is found that the intermediate state h_c_1hh_c_2 is gapful describing the stripeantiferromagnetic phase | [['the', 'ground', 'state', 'phase', 'diagram', 'of', 'the', 'alternating', 'spin12', 'chains', 'with', 'anisotropic', 'ferromagnetic', 'coupling', 'under', 'the', 'influence', 'of', 'a', 'symmetry', 'breaking', 'transverse', 'magnetic', 'field', 'is', 'studied', 'we', 'have', 'used', 'the', 'exact', 'diagonalization', 'technique', 'in', 'the', 'limit', 'where', 'the', 'antiferromagnetic', 'coupling', 'is', 'dominant', 'we', 'have', 'identified', 'two', 'isingtype', 'quantum', 'phase', 'transitions', 'we', 'have', 'calculated', 'two', 'critical', 'fields', 'h_c_1', 'and', 'h_c_2', 'corresponding', 'to', 'the', 'transition', 'between', 'different', 'magnetic', 'phases', 'of', 'the', 'system', 'it', 'is', 'found', 'that', 'the', 'intermediate', 'state', 'h_c_1hh_c_2', 'is', 'gapful', 'describing', 'the', 'stripeantiferromagnetic', 'phase']] | [-0.25844076583616254, 0.2854904672173533, -0.052963187861279015, 0.052451344848633175, -0.019378448348128942, -0.14693088786926392, 0.02735457065935451, 0.3952262840211028, -0.22306820607130848, -0.2722598924046019, 0.06078985371916532, -0.28155218373711516, -0.10054821318878633, 0.09799263487774425, 0.17296974895317563, 0.011768685227896019, -0.048840325842497916, 0.053937051629806616, -0.1265920860460028, -0.17652032370451928, 0.31462526989237566, -0.06506139617668828, 0.3352641485540605, 0.025360443835890648, 0.06029050992006754, -0.0032478067598010344, 0.15837629790213414, 0.01981098451310905, -0.16319203898411816, -0.014673500054902056, 0.2249980585297524, -0.0742074377471354, 0.14173028109277166, -0.39360471992049273, -0.1610785521703159, 0.09775570599737055, 0.15991255043574223, 0.1744952956668851, -0.04780854120078247, -0.32734471813934607, 0.022435211417515102, -0.1699211173122976, -0.1038072936743691, -0.10316776135572936, -0.03366907125923828, -0.01696442385635725, -0.2546650447496554, 0.10354287664990917, 0.062434736845117605, 0.09716959553309319, -0.07919917887122166, -0.10935100479613671, -0.07453437391441406, 0.14538690038366106, 0.08128559641630911, 0.07708941555650133, 0.09283670706521129, -0.12306506697815366, -0.10959325944039426, 0.3354683567474528, -0.04444193957506951, -0.12456871828109753, 0.1763109312813002, -0.1415882585571991, -0.13262313069412257, 0.16499656125357964, 0.0818951883432796, 0.08145974364086259, -0.11496483930954482, 0.11021986333355194, 0.014216889309265264, 0.15023293033548882, -0.021913511820546374, 0.03949233576678103, 0.22490942131773364, 0.15831935738508657, 0.012592640747997636, 0.23231501193012952, -0.12275062722903562, -0.19440578326310326, -0.22947792611198453, -0.15098607713191928, -0.21961605400074183, 0.028427402534317678, -0.08508728763138983, -0.1845978932091739, 0.4163879256854515, 0.16922042632288095, 0.15219983290426614, -0.08304523814060702, 0.22003092613389216, 0.15335800838315997, 0.027985994096436515, 0.027979001736484196, 0.32837745416682307, 0.2171840313992395, 0.10604241323407466, -0.30120840723194725, 0.03982214816482511, 0.0838542964973873] |
711.0624 | Electronic Correlations within Fermionic Lattice Models | We investigate two-site electronic correlations within generalized Hubbard
model, which incorporates the conventional Hubbard model (parameters: $t$
(hopping between nearest neighbours), $U$ (Coulomb repulsion (attraction))
supplemented by the intersite Coulomb interactions (parameters:
$J^{(1)}$(parallel spins), $J^{(2)}$ (antiparellel spins)) and the hopping of
the intrasite Cooper pairs (parameter: $V$). As a first step we find the
eigenvalues $E_{\alpha} $ and eigenvectors $|E_{\alpha}>$ of the dimer and we
represent each partial Hamiltonian $E_{\alpha} |E_{\alpha} > < E_{\alpha} |$
($\alpha =1,2,..,16$) in the second quantization with the use of the Hubbard
and spin operators. Each dimer energy level possesses its own Hamiltonian
describing different two-site interactions which can be active only in the case
when the level will be occupied by the electrons. A typical feature is the
appearence of two generalized $t-J$ interactions ascribed to two different
energy levels which do not vanish even for $% U=J^{(1)}=J^{(2)}=V=0$ and their
coupling constants are equal to $\pm t$ in this case. The competition between
ferromagnetism, antiferromagnetism and superconductivity (intrasite and
intersite pairings) is also a typical feature of the model because it persists
in the case $U=J^{(1)}=J^{(2)}=V=0$ and $t\neq 0$. The same types of the
electronic, competitive interactions are scattered between different energy
levels and therefore their thermodynamical activities are dependent on the
occupation of these levels. It qualitatively explains the origin of the phase
diagram of the model. We consider also a real lattice as a set of interacting
dimers to show that the competition between magnetism and superconductivity
seems to be universal for fermonic lattice models.
| cond-mat.str-el cond-mat.supr-con | we investigate twosite electronic correlations within generalized hubbard model which incorporates the conventional hubbard model parameters t hopping between nearest neighbours u coulomb repulsion attraction supplemented by the intersite coulomb interactions parameters j1parallel spins j2 antiparellel spins and the hopping of the intrasite cooper pairs parameter v as a first step we find the eigenvalues e_alpha and eigenvectors e_alpha of the dimer and we represent each partial hamiltonian e_alpha e_alpha e_alpha alpha 1216 in the second quantization with the use of the hubbard and spin operators each dimer energy level possesses its own hamiltonian describing different twosite interactions which can be active only in the case when the level will be occupied by the electrons a typical feature is the appearence of two generalized tj interactions ascribed to two different energy levels which do not vanish even for uj1j2v0 and their coupling constants are equal to pm t in this case the competition between ferromagnetism antiferromagnetism and superconductivity intrasite and intersite pairings is also a typical feature of the model because it persists in the case uj1j2v0 and tneq 0 the same types of the electronic competitive interactions are scattered between different energy levels and therefore their thermodynamical activities are dependent on the occupation of these levels it qualitatively explains the origin of the phase diagram of the model we consider also a real lattice as a set of interacting dimers to show that the competition between magnetism and superconductivity seems to be universal for fermonic lattice models | [['we', 'investigate', 'twosite', 'electronic', 'correlations', 'within', 'generalized', 'hubbard', 'model', 'which', 'incorporates', 'the', 'conventional', 'hubbard', 'model', 'parameters', 't', 'hopping', 'between', 'nearest', 'neighbours', 'u', 'coulomb', 'repulsion', 'attraction', 'supplemented', 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'which', 'do', 'not', 'vanish', 'even', 'for', 'uj1j2v0', 'and', 'their', 'coupling', 'constants', 'are', 'equal', 'to', 'pm', 't', 'in', 'this', 'case', 'the', 'competition', 'between', 'ferromagnetism', 'antiferromagnetism', 'and', 'superconductivity', 'intrasite', 'and', 'intersite', 'pairings', 'is', 'also', 'a', 'typical', 'feature', 'of', 'the', 'model', 'because', 'it', 'persists', 'in', 'the', 'case', 'uj1j2v0', 'and', 'tneq', '0', 'the', 'same', 'types', 'of', 'the', 'electronic', 'competitive', 'interactions', 'are', 'scattered', 'between', 'different', 'energy', 'levels', 'and', 'therefore', 'their', 'thermodynamical', 'activities', 'are', 'dependent', 'on', 'the', 'occupation', 'of', 'these', 'levels', 'it', 'qualitatively', 'explains', 'the', 'origin', 'of', 'the', 'phase', 'diagram', 'of', 'the', 'model', 'we', 'consider', 'also', 'a', 'real', 'lattice', 'as', 'a', 'set', 'of', 'interacting', 'dimers', 'to', 'show', 'that', 'the', 'competition', 'between', 'magnetism', 'and', 'superconductivity', 'seems', 'to', 'be', 'universal', 'for', 'fermonic', 'lattice', 'models']] | [-0.17457037922910978, 0.20934464090759483, 0.0006948386487879287, 0.11836139279747855, -0.010635578437120517, -0.18686177477347435, 0.0685615542489791, 0.3726904167732621, -0.27173960299734945, -0.26411881597262243, -0.02791891992664667, -0.3483627041664402, -0.10114212598380648, 0.07016717243155265, 0.08490821078980769, -0.07523239627657038, 0.005478734574204341, 0.027910857619794054, -0.08969484567193726, -0.2362841466588701, 0.302331167242569, 0.0005434037956264115, 0.23937143515948145, 0.10669157236860302, 0.05728291418545566, 0.04224976877678094, 0.11420050558069202, -0.011373507103226224, -0.12844950045554038, 0.06099137607923724, 0.22515419132112763, -0.04816946245874965, 0.2249080147937734, -0.39902735312973137, -0.1751544865623086, 0.09445700924805381, 0.14654603359846735, 0.11792370926094485, 0.027662405930745766, -0.2876394647507562, -0.01233342685068759, 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711.0625 | One-loop corrections to the Drell--Yan process in SANC (II). The neutral
current case | Radiative corrections to the neutral current Drell--Yan-like processes are
considered. Complete one-loop electroweak corrections are calculated within the
SANC system. Theoretical uncertainties are discussed. Numerical results are
presented for typical conditions of LHC experiments.
| hep-ph | radiative corrections to the neutral current drellyanlike processes are considered complete oneloop electroweak corrections are calculated within the sanc system theoretical uncertainties are discussed numerical results are presented for typical conditions of lhc experiments | [['radiative', 'corrections', 'to', 'the', 'neutral', 'current', 'drellyanlike', 'processes', 'are', 'considered', 'complete', 'oneloop', 'electroweak', 'corrections', 'are', 'calculated', 'within', 'the', 'sanc', 'system', 'theoretical', 'uncertainties', 'are', 'discussed', 'numerical', 'results', 'are', 'presented', 'for', 'typical', 'conditions', 'of', 'lhc', 'experiments']] | [-0.08893489058348625, 0.18799694672719958, 0.030875112532692796, 0.21962999464834437, 0.00866812203928609, -0.12176420095869724, -0.046968167757286745, 0.38908882548703866, -0.14403616924605825, -0.23864703502177315, 0.07799486229744028, -0.3540071975165868, 0.028488893664496785, 0.23473776197608778, 0.08123405159259324, 0.1893135571770151, 0.14269131619264097, -0.05966382898965522, -0.09409834967707009, -0.2781322330770576, 0.2672967211726834, 0.11319757010513808, 0.17549163481111035, 0.17489887508289778, -0.03609728111940272, -0.11326353100594133, -0.13285865492242224, -0.03189702304627966, -0.18410758175613248, 0.016465673086178655, 0.2616305432337172, 0.049763802507453984, 0.11020756723797497, -0.43683593961245876, -0.15170778410837932, 0.016776496407521123, 0.10723207118537496, 0.17645015989375465, -0.08458052685155588, -0.32401440665125847, 0.13354961632970064, -0.19304736399584832, -0.09859778260921731, -0.14218909594723406, -0.030006496852044675, -0.03664994678076576, -0.3673327141167486, 0.07396619533435167, -0.09657178206971902, 0.019876254404045862, -0.02399243337704855, -0.25828719142865497, -0.10179109285202097, 0.09164811617366093, 0.0660313158569967, -0.06443009276271743, 0.24081010245444143, -0.14418351973461754, -0.2163462820736801, 0.4607425419723286, -0.03186780231429592, -0.1877746459315805, 0.1279705374446862, -0.19652649201452732, -0.1406617125715403, 0.1897640083642567, 0.19122168250546298, 0.0737027475500808, -0.22747205515556476, 0.1489906459225013, 0.05375909854603164, 0.04628692416008562, -0.05574495465878178, 0.057295149438740575, 0.15989474674193738, 0.19199123074684074, -0.12455817194217268, 0.05329753546838594, 0.01843871017370154, -0.2003383327220731, -0.5441248153938967, -0.002953133354073062, -0.01313818569349892, -0.04701595472664956, -0.02924451742814306, -0.08406149039921515, 0.30144745422362845, 0.1946814426303129, 0.15957112385727026, 0.0543284959926763, 0.37118855732328754, 0.17813010752091513, 0.04894566963262418, 0.018486866323441705, 0.3657966434736462, 0.1681554429780911, 0.07715867807650391, -0.25610357322319244, -0.006380102747832151, 0.08453379759756739] |
711.0626 | Lifting Measures to Inducing Schemes | In this paper we study the liftability property for piecewise continuous maps
of compact metric spaces, which admit inducing schemes in the sense of Pesin
and Senti [PS05, PS06]. We show that under some natural assumptions on the
inducing schemes - which hold for many known examples - any invariant ergodic
Borel probability measure of sufficiently large entropy can be lifted to the
tower associated with the inducing scheme. The argument uses the construction
of connected Markov extensions due to Buzzi [Buz99], his results on the
liftability of measures of large entropy, and a generalization of some results
by Bruin [Bru95] on relations between inducing schemes and Markov extensions.
We apply our results to study the liftability problem for one-dimensional cusp
maps (in particular, unimodal and multimodal maps) and for some
multidimensional maps.
| math.DS | in this paper we study the liftability property for piecewise continuous maps of compact metric spaces which admit inducing schemes in the sense of pesin and senti ps05 ps06 we show that under some natural assumptions on the inducing schemes which hold for many known examples any invariant ergodic borel probability measure of sufficiently large entropy can be lifted to the tower associated with the inducing scheme the argument uses the construction of connected markov extensions due to buzzi buz99 his results on the liftability of measures of large entropy and a generalization of some results by bruin bru95 on relations between inducing schemes and markov extensions we apply our results to study the liftability problem for onedimensional cusp maps in particular unimodal and multimodal maps and for some multidimensional maps | [['in', 'this', 'paper', 'we', 'study', 'the', 'liftability', 'property', 'for', 'piecewise', 'continuous', 'maps', 'of', 'compact', 'metric', 'spaces', 'which', 'admit', 'inducing', 'schemes', 'in', 'the', 'sense', 'of', 'pesin', 'and', 'senti', 'ps05', 'ps06', 'we', 'show', 'that', 'under', 'some', 'natural', 'assumptions', 'on', 'the', 'inducing', 'schemes', 'which', 'hold', 'for', 'many', 'known', 'examples', 'any', 'invariant', 'ergodic', 'borel', 'probability', 'measure', 'of', 'sufficiently', 'large', 'entropy', 'can', 'be', 'lifted', 'to', 'the', 'tower', 'associated', 'with', 'the', 'inducing', 'scheme', 'the', 'argument', 'uses', 'the', 'construction', 'of', 'connected', 'markov', 'extensions', 'due', 'to', 'buzzi', 'buz99', 'his', 'results', 'on', 'the', 'liftability', 'of', 'measures', 'of', 'large', 'entropy', 'and', 'a', 'generalization', 'of', 'some', 'results', 'by', 'bruin', 'bru95', 'on', 'relations', 'between', 'inducing', 'schemes', 'and', 'markov', 'extensions', 'we', 'apply', 'our', 'results', 'to', 'study', 'the', 'liftability', 'problem', 'for', 'onedimensional', 'cusp', 'maps', 'in', 'particular', 'unimodal', 'and', 'multimodal', 'maps', 'and', 'for', 'some', 'multidimensional', 'maps']] | [-0.10757451434069731, 0.08962660976025591, -0.08731311810840889, 0.11099081217699985, -0.043867487489707827, -0.13120380415412503, 0.045987333758646165, 0.37313953165228914, -0.2959853490066575, -0.18996803976199406, 0.12657173713540848, -0.23445385258908816, -0.18854842096838484, 0.25989564839295864, -0.14481772581394028, 0.06019736213818574, 0.05342278258112355, 0.036704847295805226, -0.0989597991629555, -0.24437772223036588, 0.4248259012902698, -0.005295389462042395, 0.2598827474743245, 0.07864556365644589, 0.16134532939358046, -0.001804792083887838, -0.0705707250016294, 0.032969898053840915, -0.18326891003953208, 0.14788004256304588, 0.23616270320563335, 0.13518690373235215, 0.24327895073880126, -0.34567682040987285, -0.20538099834445211, 0.2100037217340029, 0.049924962805569406, 0.07683193689307535, -0.034372491137799256, -0.31262924747292214, 0.11906696962353987, -0.14957653461244164, -0.12954493208355675, -0.13794688136852162, -0.027786354642779856, 0.0634190945548746, -0.28217147514370716, 0.008827773340809064, 0.17470969249472373, 0.049093346163382075, -0.07746991492426536, -0.03357833133658438, -0.003794674693760792, 0.0926217526182767, 0.04379771341841052, 0.0353537886696831, 0.07117062703317661, -0.08154920577878265, -0.14718514191368082, 0.3396609129098163, -0.10822447607895051, -0.2657600799062121, 0.22495302006714119, -0.14534512430972119, -0.2182275777999825, 0.09130981639320926, 0.14527561699634228, 0.1254168874364141, -0.0656337146133947, 0.14960875309862592, -0.09650221734681702, 0.09236844614176556, 0.09882107256053704, 0.06488323570999104, 0.11893861910133938, 0.05897843853687853, 0.13727288900674725, 0.16151507184052413, -0.013712269835647078, -0.1270802691299285, -0.30220847493990904, -0.16658329202699124, -0.1304735899096223, 0.04448882501946366, -0.10545035666824175, -0.17900096513624267, 0.3611361099780099, 0.11545492753782492, 0.20915518533145114, 0.14653509734455114, 0.21902183537906783, 0.10413675282542836, 0.03389980262750393, 0.07226707648823229, 0.10364076210250968, 0.1801866256452246, 0.012079731706075195, -0.15341600075485112, 0.05611976915347119, 0.14325395864104545] |
711.0627 | Infinite dimensional Lie algebras in 4D conformal quantum field theory | The concept of global conformal invariance (GCI) opens the way of applying
algebraic techniques, developed in the context of 2-dimensional chiral
conformal field theory, to a higher (even) dimensional space-time. In
particular, a system of GCI scalar fields of conformal dimension two gives rise
to a Lie algebra of harmonic bilocal fields, V_m(x,y), where the m span a
finite dimensional real matrix algebra M closed under transposition. The
associative algebra M is irreducible iff its commutant M' coincides with one of
the three real division rings. The Lie algebra of (the modes of) the bilocal
fields is in each case an infinite dimensional Lie algebra: a central extension
of sp(infty,R) corresponding to the field R of reals, of u(infty,infty)
associated to the field C of complex numbers, and of so*(4 infty) related to
the algebra H of quaternions. They give rise to quantum field theory models
with superselection sectors governed by the (global) gauge groups O(N), U(N),
and U(N,H)=Sp(2N), respectively.
| hep-th | the concept of global conformal invariance gci opens the way of applying algebraic techniques developed in the context of 2dimensional chiral conformal field theory to a higher even dimensional spacetime in particular a system of gci scalar fields of conformal dimension two gives rise to a lie algebra of harmonic bilocal fields v_mxy where the m span a finite dimensional real matrix algebra m closed under transposition the associative algebra m is irreducible iff its commutant m coincides with one of the three real division rings the lie algebra of the modes of the bilocal fields is in each case an infinite dimensional lie algebra a central extension of spinftyr corresponding to the field r of reals of uinftyinfty associated to the field c of complex numbers and of so4 infty related to the algebra h of quaternions they give rise to quantum field theory models with superselection sectors governed by the global gauge groups on un and unhsp2n respectively | [['the', 'concept', 'of', 'global', 'conformal', 'invariance', 'gci', 'opens', 'the', 'way', 'of', 'applying', 'algebraic', 'techniques', 'developed', 'in', 'the', 'context', 'of', '2dimensional', 'chiral', 'conformal', 'field', 'theory', 'to', 'a', 'higher', 'even', 'dimensional', 'spacetime', 'in', 'particular', 'a', 'system', 'of', 'gci', 'scalar', 'fields', 'of', 'conformal', 'dimension', 'two', 'gives', 'rise', 'to', 'a', 'lie', 'algebra', 'of', 'harmonic', 'bilocal', 'fields', 'v_mxy', 'where', 'the', 'm', 'span', 'a', 'finite', 'dimensional', 'real', 'matrix', 'algebra', 'm', 'closed', 'under', 'transposition', 'the', 'associative', 'algebra', 'm', 'is', 'irreducible', 'iff', 'its', 'commutant', 'm', 'coincides', 'with', 'one', 'of', 'the', 'three', 'real', 'division', 'rings', 'the', 'lie', 'algebra', 'of', 'the', 'modes', 'of', 'the', 'bilocal', 'fields', 'is', 'in', 'each', 'case', 'an', 'infinite', 'dimensional', 'lie', 'algebra', 'a', 'central', 'extension', 'of', 'spinftyr', 'corresponding', 'to', 'the', 'field', 'r', 'of', 'reals', 'of', 'uinftyinfty', 'associated', 'to', 'the', 'field', 'c', 'of', 'complex', 'numbers', 'and', 'of', 'so4', 'infty', 'related', 'to', 'the', 'algebra', 'h', 'of', 'quaternions', 'they', 'give', 'rise', 'to', 'quantum', 'field', 'theory', 'models', 'with', 'superselection', 'sectors', 'governed', 'by', 'the', 'global', 'gauge', 'groups', 'on', 'un', 'and', 'unhsp2n', 'respectively']] | [-0.21101042304713374, 0.14286339422697217, -0.07068099862394425, 0.01927021222983081, -0.1071792548785034, -0.14066966650529933, -0.0647885455743959, 0.30169633184619343, -0.2885035532526672, -0.19790258517082876, 0.09670893967715809, -0.2101261475008169, -0.1413403575148923, 0.145214832543085, -0.06316320861850937, -0.03020630263815222, -0.023419954318505447, 0.1677682868261726, -0.11986160870471324, -0.270666895667091, 0.38696803744488323, -0.011292368840002336, 0.2532640241387969, -0.027487676798512276, 0.15687316998791617, 0.043563218909697846, -0.015149467257567896, 0.011009315730263598, -0.09494920948054641, 0.13995107226461792, 0.2626441412090478, 0.08153073926521943, 0.2045790110177432, -0.3906778487203738, -0.12426422309512511, 0.1423565728100351, 0.15288286834943277, 0.03351682949011238, -0.00876861643896868, -0.2778968938181583, 0.06261335370035316, -0.18525258126931313, -0.16680394200300677, -0.05499859675257586, 0.06114768543734382, -0.07827735140633124, -0.27486636634402645, 0.048180199602845676, 0.07829893765245707, 0.15141456344579823, -0.07513578762136137, -0.07741270032084475, -0.08803641874319276, 0.08049686861042386, 0.012790164047589477, 0.061796093544473525, 0.14206419685461485, -0.11077443068545388, -0.17632257862640424, 0.3908597755048854, -0.0641030280609042, -0.2337860993336504, 0.16251073329644547, -0.21018049933459573, -0.14795782673172653, 0.11079009229508348, 0.10388724209788518, 0.10626100971459006, -0.05162286477533575, 0.2831863413963359, -0.10266052873638006, 0.051026340967300944, 0.08025123561039949, 0.012224984417956036, 0.19338990461666328, 0.0735862282036135, 0.07596225608423805, 0.12030698925865671, 0.05141470845205148, -0.09757588368852456, -0.3735225697895751, -0.19858652011055547, -0.13270495968082777, 0.14347368172513178, -0.14734949331520908, -0.17548617225838825, 0.4227426855896528, 0.09872456238269642, 0.16643358922850054, 0.056731627722724505, 0.1805726722575342, 0.10534476313608675, 0.14147184092852955, 0.03885903959281933, 0.1128715437259346, 0.31986509593209633, 0.03560033386561255, -0.18295083701004608, -0.16977435362059623, 0.17500137207575905] |
711.0628 | Pole structure and biharmonic fields in conformal QFT in four dimensions | Imposing Huygens' Principle in a 4D Wightman QFT puts strong constraints on
its algebraic and analytic structure. These are best understood in terms of
``biharmonic fields'', whose properties reflect the presence of infinitely many
conserved tensor currents. In particular, a universal third-order partial
differential equation is derived for the most singular parts of connected
scalar correlation functions. This PDE gives rise to novel restrictions on the
pole structure of higher correlation functions. An example of a six-point
function is presented that cannot arise from free fields. This example is
exploited to study the locality properties of biharmonic fields.
| hep-th | imposing huygens principle in a 4d wightman qft puts strong constraints on its algebraic and analytic structure these are best understood in terms of biharmonic fields whose properties reflect the presence of infinitely many conserved tensor currents in particular a universal thirdorder partial differential equation is derived for the most singular parts of connected scalar correlation functions this pde gives rise to novel restrictions on the pole structure of higher correlation functions an example of a sixpoint function is presented that cannot arise from free fields this example is exploited to study the locality properties of biharmonic fields | [['imposing', 'huygens', 'principle', 'in', 'a', '4d', 'wightman', 'qft', 'puts', 'strong', 'constraints', 'on', 'its', 'algebraic', 'and', 'analytic', 'structure', 'these', 'are', 'best', 'understood', 'in', 'terms', 'of', 'biharmonic', 'fields', 'whose', 'properties', 'reflect', 'the', 'presence', 'of', 'infinitely', 'many', 'conserved', 'tensor', 'currents', 'in', 'particular', 'a', 'universal', 'thirdorder', 'partial', 'differential', 'equation', 'is', 'derived', 'for', 'the', 'most', 'singular', 'parts', 'of', 'connected', 'scalar', 'correlation', 'functions', 'this', 'pde', 'gives', 'rise', 'to', 'novel', 'restrictions', 'on', 'the', 'pole', 'structure', 'of', 'higher', 'correlation', 'functions', 'an', 'example', 'of', 'a', 'sixpoint', 'function', 'is', 'presented', 'that', 'can', 'not', 'arise', 'from', 'free', 'fields', 'this', 'example', 'is', 'exploited', 'to', 'study', 'the', 'locality', 'properties', 'of', 'biharmonic', 'fields']] | [-0.1993749060884419, 0.07976305252073375, -0.09321640470450876, 0.11976862356955693, -0.14898526298841744, -0.08701401829456139, -0.06476947155926903, 0.3214593456324303, -0.2559779011656182, -0.23300345407591927, 0.06090690586080944, -0.2546235625490998, -0.20328636792949353, 0.19871844264215346, -0.031054092712248817, 0.047055342926695526, -0.0032110127286439894, 0.04698056546086916, -0.11203775815200134, -0.21609322484253407, 0.3816221187954223, -0.023495488259188756, 0.25805489376253177, 0.096924809372109, 0.14323852549899707, 0.014201185877688906, -0.011220225633940461, 0.04218289444241861, -0.10373213198872323, 0.13981436129490082, 0.23032853202047673, 0.08551797415647241, 0.19413228508912855, -0.43208448436449876, -0.20547640723449112, 0.09497463221501823, 0.11483244312870683, 0.0810968513845118, -0.01653279566740784, -0.2566635886376554, 0.04420519018113011, -0.11438547649580721, -0.18015342436241683, -0.11404755119601208, -0.014882888000533737, 0.002075886492608021, -0.2644973214765107, 0.11394883269641662, 0.07652167147354721, 0.05229000710750544, -0.07198391031036436, -0.10816049405415966, -0.04407921101841511, 0.12064976524561644, 0.0484841164939971, 0.0366767651161574, 0.09890648603175926, -0.18135193492182428, -0.09109992616706425, 0.36021013050622336, -0.07348436833067674, -0.2827617706462854, 0.16117137738955067, -0.15921938561862617, -0.15507788362917538, 0.12187689534303817, 0.1558009534768497, 0.13920749985669373, -0.1931660727449608, 0.18112289365745535, -0.055013589424579734, 0.13089785518652683, 0.09826693333440809, 0.07525958986764755, 0.18180984129301375, 0.04648412188110553, 0.08755956592468658, 0.1529722272211479, 0.03689273786401809, -0.10617818193265585, -0.39067912984150227, -0.12643159935815315, -0.15505234281899352, 0.11048656440768602, -0.1074115662881693, -0.22727210575366638, 0.41089964757268926, 0.08746559113955521, 0.1687649407458134, 0.025301641619980636, 0.24753035754059452, 0.19626381311382196, 0.09263426957727232, 0.02372839106152756, 0.24371522877628754, 0.2187083036159024, 0.07238815801989551, -0.18778105724292496, 0.01877321950818478, 0.10648563971291437] |
711.0629 | Distributions of individual Dirac eigenvalues for QCD at non-zero
chemical potential: RMT predictions and lattice results | For QCD at non-zero chemical potential $\mu$, the Dirac eigenvalues are
scattered in the complex plane. We define a notion of ordering for individual
eigenvalues in this case and derive the distributions of individual eigenvalues
from random matrix theory (RMT). We distinguish two cases depending on the
parameter $\alpha=\mu^2 F^2 V$, where $V$ is the volume and $F$ is the familiar
low-energy constant of chiral perturbation theory. For small $\alpha$, we use a
Fredholm determinant expansion and observe that already the first few terms
give an excellent approximation. For large $\alpha$, all spectral correlations
are rotationally invariant, and exact results can be derived. We compare the
RMT predictions to lattice data and in both cases find excellent agreement in
the topological sectors $\nu=0,1,2$.
| hep-lat | for qcd at nonzero chemical potential mu the dirac eigenvalues are scattered in the complex plane we define a notion of ordering for individual eigenvalues in this case and derive the distributions of individual eigenvalues from random matrix theory rmt we distinguish two cases depending on the parameter alphamu2 f2 v where v is the volume and f is the familiar lowenergy constant of chiral perturbation theory for small alpha we use a fredholm determinant expansion and observe that already the first few terms give an excellent approximation for large alpha all spectral correlations are rotationally invariant and exact results can be derived we compare the rmt predictions to lattice data and in both cases find excellent agreement in the topological sectors nu012 | [['for', 'qcd', 'at', 'nonzero', 'chemical', 'potential', 'mu', 'the', 'dirac', 'eigenvalues', 'are', 'scattered', 'in', 'the', 'complex', 'plane', 'we', 'define', 'a', 'notion', 'of', 'ordering', 'for', 'individual', 'eigenvalues', 'in', 'this', 'case', 'and', 'derive', 'the', 'distributions', 'of', 'individual', 'eigenvalues', 'from', 'random', 'matrix', 'theory', 'rmt', 'we', 'distinguish', 'two', 'cases', 'depending', 'on', 'the', 'parameter', 'alphamu2', 'f2', 'v', 'where', 'v', 'is', 'the', 'volume', 'and', 'f', 'is', 'the', 'familiar', 'lowenergy', 'constant', 'of', 'chiral', 'perturbation', 'theory', 'for', 'small', 'alpha', 'we', 'use', 'a', 'fredholm', 'determinant', 'expansion', 'and', 'observe', 'that', 'already', 'the', 'first', 'few', 'terms', 'give', 'an', 'excellent', 'approximation', 'for', 'large', 'alpha', 'all', 'spectral', 'correlations', 'are', 'rotationally', 'invariant', 'and', 'exact', 'results', 'can', 'be', 'derived', 'we', 'compare', 'the', 'rmt', 'predictions', 'to', 'lattice', 'data', 'and', 'in', 'both', 'cases', 'find', 'excellent', 'agreement', 'in', 'the', 'topological', 'sectors', 'nu012']] | [-0.13041682735268698, 0.14630344723931946, -0.05861508364972399, 0.09736037163968488, -0.016568846229585956, -0.12681786579339474, 0.025925737412524272, 0.36803595002618483, -0.2305341902108802, -0.2648579137491398, 0.048053811384426035, -0.33682396585030144, -0.15525629171780997, 0.12082897392139755, 0.02128716164314356, 0.03807272559001309, 0.03794118591591899, 0.07290530557454121, -0.0996545859188849, -0.20264864693105708, 0.3159548607196842, -0.014172749452628806, 0.22638947648553515, 0.06590872064049615, 0.030766825379658736, 0.006558573106303811, -0.011664370384036761, 0.00028446699765422115, -0.1730649184579813, 0.09759096536960941, 0.2375139607589875, 0.034977605107102495, 0.16984781402437069, -0.3840171573836295, -0.166813938790688, 0.12083242583607674, 0.13116108210658137, 0.0879196451182981, -0.023593817659096458, -0.25696088135295897, 0.100694754660954, -0.1573690454719863, -0.16934359282041428, -0.13677486769862657, 0.04372879051313293, 0.009039932869557963, -0.3265297438598192, 0.0950386906042695, -0.017303584666434127, 0.0554133203208874, -0.03905876041924367, -0.16954908806250477, -0.0037864250394317213, 0.1405229275372475, 0.026941672925547253, -0.0036984147946731967, 0.07854057485848422, -0.10658982250606641, -0.060721851133390285, 0.3854597503325108, -0.1061510197573998, -0.19992904200554504, 0.1341128845939596, -0.19824519708035054, -0.14030503006422984, 0.10969209277689396, 0.11564553441235521, 0.10712324251558204, -0.1131133312954888, 0.1624864122470589, -0.049090978737202945, 0.1304231255962208, 0.07297926798623178, 0.03251796016476993, 0.17971370646111728, 0.05222408661473787, 0.06123293193293827, 0.07994553562469368, -0.04828842212331527, -0.12202073079266693, -0.34474965511653266, -0.11928549573420867, -0.20794882819430566, 0.07049585539145303, -0.16018025216312037, -0.1806632602343061, 0.3937456066888131, 0.1253191788478556, 0.2357886216038319, 0.0680559173867595, 0.23463522782358417, 0.16438479213899032, -0.004692654970834856, 0.037342128660682525, 0.2254167068940511, 0.1710434519746875, 0.06442214368812008, -0.1974595526794399, -0.008672938153498852, 0.07206696888706723] |
711.063 | Equivalence between quantum simultaneous games and quantum sequential
games | A framework for discussing relationships between different types of games is
proposed. Within the framework, quantum simultaneous games, finite quantum
simultaneous games, quantum sequential games, and finite quantum sequential
games are defined. In addition, a notion of equivalence between two games is
defined. Finally, the following three theorems are shown: (1) For any quantum
simultaneous game G, there exists a quantum sequential game equivalent to G.
(2) For any finite quantum simultaneous game G, there exists a finite quantum
sequential game equivalent to G. (3) For any finite quantum sequential game G,
there exists a finite quantum simultaneous game equivalent to G.
| quant-ph | a framework for discussing relationships between different types of games is proposed within the framework quantum simultaneous games finite quantum simultaneous games quantum sequential games and finite quantum sequential games are defined in addition a notion of equivalence between two games is defined finally the following three theorems are shown 1 for any quantum simultaneous game g there exists a quantum sequential game equivalent to g 2 for any finite quantum simultaneous game g there exists a finite quantum sequential game equivalent to g 3 for any finite quantum sequential game g there exists a finite quantum simultaneous game equivalent to g | [['a', 'framework', 'for', 'discussing', 'relationships', 'between', 'different', 'types', 'of', 'games', 'is', 'proposed', 'within', 'the', 'framework', 'quantum', 'simultaneous', 'games', 'finite', 'quantum', 'simultaneous', 'games', 'quantum', 'sequential', 'games', 'and', 'finite', 'quantum', 'sequential', 'games', 'are', 'defined', 'in', 'addition', 'a', 'notion', 'of', 'equivalence', 'between', 'two', 'games', 'is', 'defined', 'finally', 'the', 'following', 'three', 'theorems', 'are', 'shown', '1', 'for', 'any', 'quantum', 'simultaneous', 'game', 'g', 'there', 'exists', 'a', 'quantum', 'sequential', 'game', 'equivalent', 'to', 'g', '2', 'for', 'any', 'finite', 'quantum', 'simultaneous', 'game', 'g', 'there', 'exists', 'a', 'finite', 'quantum', 'sequential', 'game', 'equivalent', 'to', 'g', '3', 'for', 'any', 'finite', 'quantum', 'sequential', 'game', 'g', 'there', 'exists', 'a', 'finite', 'quantum', 'simultaneous', 'game', 'equivalent', 'to', 'g']] | [-0.17127881376141244, 0.1561698976575452, -0.12566119596800385, 0.13127015333157033, -0.01155937149865078, -0.29409675684976666, 0.09366138385809666, 0.4301399460025862, -0.26620475920465064, -0.2502206935885125, 0.005703125682011174, -0.22123522718674413, -0.14115856741281116, 0.11961942004021622, -0.12937363253121137, 0.06447481059049275, 0.10553502662143871, 0.0786614362424349, -0.00678911312556296, -0.26994026426737217, 0.3185474549365394, -0.13603821356881263, 0.20998702539751926, 0.06816371946650393, 0.20290650149314282, 0.06661816223469727, 0.01576906410228534, 0.13268981053146953, -0.16854566575813235, 0.03720643569934456, 0.3722105536829023, 0.18505725406986825, 0.42145338951719596, -0.39085716388973535, -0.17341437118639255, 0.22474154091312312, 0.030735177070121553, 0.08632043770550951, -0.02365538635857257, -0.2741790277308182, 0.17844864073684255, -0.18976702076364674, 0.023822314005491195, 0.011777969456149959, 0.05745480587596402, -0.06410815309294883, -0.30323146230668996, -0.0713942462907118, 0.07335325085196197, 0.1414181749865997, 0.043509146682552846, -0.062034379898607, 0.07392178831265911, 0.1880611252067063, -0.12344556617294895, -0.013777822438700526, 0.06149422240388744, -0.10534934614620664, -0.33472359806810525, 0.4058083063174112, -0.08071479826136127, -0.13210423750912442, 0.14926144137394196, -0.034370321049994115, -0.1434125136857962, 0.06203605167969477, 0.03188939540254354, 0.16450040939026603, -0.08406987005625577, 0.18046416193828918, -0.12099680541923233, 0.16623406292980208, 0.05185161443545903, 0.044911984993400524, 0.16004129782246024, 0.06965775138187204, 0.18723475840855755, 0.1379190137080264, 0.058471608012184206, -0.2547782009933144, -0.3539242857665408, -0.13342939407619483, -0.13246501020758467, 0.0826972471550107, -0.1409720205198277, -0.2135932993599757, 0.3127802338852894, 0.0629658122414577, 0.04415821959721107, 0.08470283372455514, 0.2373121322198844, 0.13252694052689726, -0.016178344878568954, 0.06845298061585602, 0.10772156719045312, 0.25122470518245416, 0.04203658868723056, -0.23180313142673933, 0.02184910173801815, 0.10604920359693613] |
711.0631 | Skorohod-reflection of Brownian Paths and BES^3 | Let B(t), X(t) and Y(t) be independent standard 1d Borwnian motions. Define
X^+(t) and Y^-(t) as the trajectories of the processes X(t) and Y(t) pushed
upwards and, respectively, downwards by B(t), according to Skorohod-reflection.
In a recent paper, Jon Warren proves inter alia that Z(t):= X^+(t)-Y^-(t) is a
three-dimensional Bessel-process. In this note, we present an alternative,
elementary proof of this fact.
| math.PR | let bt xt and yt be independent standard 1d borwnian motions define xt and yt as the trajectories of the processes xt and yt pushed upwards and respectively downwards by bt according to skorohodreflection in a recent paper jon warren proves inter alia that zt xtyt is a threedimensional besselprocess in this note we present an alternative elementary proof of this fact | [['let', 'bt', 'xt', 'and', 'yt', 'be', 'independent', 'standard', '1d', 'borwnian', 'motions', 'define', 'xt', 'and', 'yt', 'as', 'the', 'trajectories', 'of', 'the', 'processes', 'xt', 'and', 'yt', 'pushed', 'upwards', 'and', 'respectively', 'downwards', 'by', 'bt', 'according', 'to', 'skorohodreflection', 'in', 'a', 'recent', 'paper', 'jon', 'warren', 'proves', 'inter', 'alia', 'that', 'zt', 'xtyt', 'is', 'a', 'threedimensional', 'besselprocess', 'in', 'this', 'note', 'we', 'present', 'an', 'alternative', 'elementary', 'proof', 'of', 'this', 'fact']] | [-0.1109391238650907, 0.16721730956524586, -0.11196526298615134, -0.005942400270615215, -0.042446065694093704, -0.13985262045605204, 0.052671965091268265, 0.3106252675958893, -0.35514266103884934, -0.16886973457600354, 0.049954006166722215, -0.29988434235170736, -0.14214641462036773, 0.196435151211286, -0.09642065154641109, -0.018281870111191676, 0.0010562842688128604, -0.026006543772074127, -0.014039436548601016, -0.18533398926463293, 0.20793141600660095, -0.0022525927683306954, 0.1563135476435645, 0.003698513337995036, 0.13347442192420111, 0.03803186738958298, -0.07074840611509853, -0.00230399887306888, -0.2169948953517833, 0.050083910888534484, 0.22210572809730736, 0.06351053258253683, 0.26860515828544307, -0.3368581603202274, -0.15241367347791032, 0.07466821271484181, 0.23011084906441176, -0.026770994019836694, -0.0296375060580292, -0.32903063278329575, 0.08747534070290246, -0.13834544993400322, -0.11893070314742499, -0.040153783667138065, 0.1373000018046064, 0.058099665726392954, -0.28678944566429165, 0.06796869353028172, 0.19664872906533842, 0.03696010257038525, 0.011939002003647009, -0.12059349833466744, -0.04056878211923828, 0.061743301623579806, 0.05397491567468239, 0.16006986274368176, 0.10422174303429359, -0.010162171986648592, -0.09595358431718107, 0.3468899997109074, -0.11319974400260943, -0.2193168686166153, 0.16012809656055296, -0.12694808884160752, -0.14912154989601192, 0.08459809103633388, 0.1348479135135599, 0.06877014004641165, -0.1872211563385139, 0.21262732068850201, -0.013885794538941424, 0.10958706960082054, 0.04775485686831555, -0.06609578152045102, 0.14337622949664117, 0.13801519646924937, 0.05067450581592018, 0.11168245557040545, -0.0034859190710772904, -0.0744209659238488, -0.3193553472805958, -0.2488486119388145, -0.1258187000560811, 0.13692510750744555, -0.07863455933372696, -0.14306406831463514, 0.32787980226862984, 0.20541042909105073, 0.2242536321913792, 0.0971102397415345, 0.2144199247132608, 0.16502797559211504, -0.058768628820208675, 0.110780298354704, 0.09245366238499597, 0.14385787934712055, 0.1689347099449675, -0.12069584396115299, 0.06797044220877717, 0.12774084521047138] |
711.0632 | Memorandum on Dimension Formulas for Spaces of Jacobi Forms | We state ready to compute dimension formulas for the spaces of Jacobi cusp
forms of integral weight $k$ and integral scalar index $m$ on subgroups of
$\SL$.
| math.NT | we state ready to compute dimension formulas for the spaces of jacobi cusp forms of integral weight k and integral scalar index m on subgroups of sl | [['we', 'state', 'ready', 'to', 'compute', 'dimension', 'formulas', 'for', 'the', 'spaces', 'of', 'jacobi', 'cusp', 'forms', 'of', 'integral', 'weight', 'k', 'and', 'integral', 'scalar', 'index', 'm', 'on', 'subgroups', 'of', 'sl']] | [-0.22725054814859671, 0.09186874209316792, -0.12259339327337565, 0.09358664760711016, -0.1395758274011314, -0.11861660490157427, 0.03615874659132074, 0.3633905607103198, -0.2684763126351215, -0.249472351261863, 0.0865462392879029, -0.2670509026006416, -0.11789114566312896, 0.23101614214721378, 0.01162146537454747, 0.05375424055037675, 0.02988403740649422, 0.163629821398192, -0.1317738226649386, -0.2852163803246286, 0.45315752895893874, -0.01632047458163773, 0.1452326064032537, -0.029349126197673655, 0.1250662195875689, 0.07180333325501394, -0.04259547328197018, -0.11458129456473722, -0.21033331448281253, 0.1954376066310538, 0.27794498262099093, 0.04432727026546167, 0.15238427439773525, -0.3523379242806523, -0.12300478939518884, 0.15477821248135082, 0.13193890690389606, -0.1301890218940874, 0.0697917744508703, -0.23416722897026274, 0.05481675674242002, -0.14421095229961253, -0.23470320911319167, -0.17335183904678733, 0.1321700247073615, -0.05228409178003117, -0.29298670107015856, 0.03217168552456079, 0.004231974939574246, 0.07186680780378757, -0.13920456605652967, -0.2162509023177403, -0.01555577431012083, 0.06572762100215725, -0.014404405805247801, -0.04121370591154253, 0.07795565701262266, -0.14158886836634743, -0.09162003385265255, 0.27312845707422606, -0.1191680711625075, -0.18406395545160328, 0.07157870892573286, -0.17889243198765648, -0.1523575588232941, 0.14190211126373875, 0.13887000027009183, 0.13402021876363843, -0.006230111958252059, 0.2056033984150013, -0.05338783358672151, 0.07572479021769983, 0.151235265760786, -0.020439137256255856, 0.09321586546246652, -0.04742972283727593, 0.08289540189973733, 0.1801977049973276, -0.029906612881286827, -0.031123277496253314, -0.3348866712163996, -0.2968491634560956, -0.15996494602963882, 0.11805355909314973, -0.15296313332132908, -0.2151173395967042, 0.3504992908867145, -0.0062992580372978136, 0.1347835344020967, 0.13113661379449898, 0.17929948424851452, 0.14583504120646804, 0.08498010640808691, 0.10310437264679759, 0.05038956842488713, 0.25594368211373136, 0.030281162527562293, -0.15098599447972244, -0.08505277517057645, 0.2142749899584386] |
711.0633 | Gravitational Lensing Analyzed by Graded Refractive Index of Vacuum | We found strong similarities between the gravitational lensing and the
conventional optical lensing. The similarities imply a graded refractive index
description of the light deflection in gravitational field. We got a general
approach to this refractive index in a static spherically symmetric
gravitational field and obtained its exterior and interior solutions exactly
through the general relativity. In weak field case, the two solutions come to a
simple unified exponential function of the gravitational potential. With these
results, the gravitational lensing can be analyzed in a convenient optical way.
Especially, the long puzzling problem of the central image missing can be
solved easily. We also pointed out that the graded refraction property of the
gravitational spacetime is related to the vacuum influenced by the
gravitational matter.
| gr-qc | we found strong similarities between the gravitational lensing and the conventional optical lensing the similarities imply a graded refractive index description of the light deflection in gravitational field we got a general approach to this refractive index in a static spherically symmetric gravitational field and obtained its exterior and interior solutions exactly through the general relativity in weak field case the two solutions come to a simple unified exponential function of the gravitational potential with these results the gravitational lensing can be analyzed in a convenient optical way especially the long puzzling problem of the central image missing can be solved easily we also pointed out that the graded refraction property of the gravitational spacetime is related to the vacuum influenced by the gravitational matter | [['we', 'found', 'strong', 'similarities', 'between', 'the', 'gravitational', 'lensing', 'and', 'the', 'conventional', 'optical', 'lensing', 'the', 'similarities', 'imply', 'a', 'graded', 'refractive', 'index', 'description', 'of', 'the', 'light', 'deflection', 'in', 'gravitational', 'field', 'we', 'got', 'a', 'general', 'approach', 'to', 'this', 'refractive', 'index', 'in', 'a', 'static', 'spherically', 'symmetric', 'gravitational', 'field', 'and', 'obtained', 'its', 'exterior', 'and', 'interior', 'solutions', 'exactly', 'through', 'the', 'general', 'relativity', 'in', 'weak', 'field', 'case', 'the', 'two', 'solutions', 'come', 'to', 'a', 'simple', 'unified', 'exponential', 'function', 'of', 'the', 'gravitational', 'potential', 'with', 'these', 'results', 'the', 'gravitational', 'lensing', 'can', 'be', 'analyzed', 'in', 'a', 'convenient', 'optical', 'way', 'especially', 'the', 'long', 'puzzling', 'problem', 'of', 'the', 'central', 'image', 'missing', 'can', 'be', 'solved', 'easily', 'we', 'also', 'pointed', 'out', 'that', 'the', 'graded', 'refraction', 'property', 'of', 'the', 'gravitational', 'spacetime', 'is', 'related', 'to', 'the', 'vacuum', 'influenced', 'by', 'the', 'gravitational', 'matter']] | [-0.1531228820644319, 0.07415529928728938, -0.12456206722930074, 0.12837370927259326, -0.12634229862876237, -0.1121897037178278, -0.04830716464668512, 0.3635419245325029, -0.28186517452076076, -0.27622707980126143, 0.046714937437325715, -0.23732503095269203, -0.1810216181240976, 0.1924733432084322, -0.034085852056741715, 0.04464560880092904, 0.007301869750022888, 0.029360670067369938, -0.08105219062976539, -0.21262320575676857, 0.3337849861606956, 0.0606005252674222, 0.22281503978557884, 0.049640681877732275, 0.0761427518799901, 0.015250645697116852, -0.06638059074431658, 0.11852926072850824, -0.10190534416242736, 0.08409606132563203, 0.20494636188074947, 0.0956683158390224, 0.21712795335054397, -0.4092291523963213, -0.22028351358324288, 0.12979671874642373, 0.11733240478858352, 0.14914099234715103, -0.12204087385535241, -0.34280464333854616, 0.060506884582340714, -0.1794982212483883, -0.18953377273515798, -0.009812459975481034, 0.01814309127163142, 0.019558216497302057, -0.2314782082848251, 0.08300503163482062, 0.022134149581193925, -0.024860856607556343, -0.09627354619000107, -0.03858663647342473, -0.003271736014634371, 0.06996452641114592, 0.09473156887851655, 0.037764415416866544, 0.12097374967858196, -0.15273146672919394, -0.05417623142991215, 0.42723210336640477, -0.11371154275262961, -0.19797606638073922, 0.14213573891483247, -0.2082214664965868, -0.09409280282258987, 0.14025233315490188, 0.1305784299969673, 0.12467202358692885, -0.13899216108769177, 0.11154009576747194, -0.02886324564740062, 0.15772607855219395, 0.13290276933461428, 0.03721609841380268, 0.3286085558235645, 0.06597680114209652, 0.023832432121038437, 0.13174168559769167, -0.05865817928314209, -0.04016699838265777, -0.3072802382335067, -0.1206514222547412, -0.14952299448661507, 0.08491261177882552, -0.1796348877955461, -0.1682702824436128, 0.3921110203815624, 0.12042793460935354, 0.10274878633022308, 0.019739808194339275, 0.2999594769179821, 0.12560072775091977, 0.05404451493546367, 0.0386913442343357, 0.3930787217468023, 0.18222152723779436, 0.13975778086017818, -0.19757419391348957, -0.03226053039729595, 0.06596842627227306] |
711.0634 | Poincare polynomials of moduli spaces of stable bundles over curves | Given a curve over a finite field, we compute the number of stable bundles of
not necessarily coprime rank and degree over it. We apply this result to
compute the virtual Poincare polynomials of the moduli spaces of stable bundles
over a curve. A similar formula for the virtual Hodge polynomials and motives
is conjectured.
| math.AG | given a curve over a finite field we compute the number of stable bundles of not necessarily coprime rank and degree over it we apply this result to compute the virtual poincare polynomials of the moduli spaces of stable bundles over a curve a similar formula for the virtual hodge polynomials and motives is conjectured | [['given', 'a', 'curve', 'over', 'a', 'finite', 'field', 'we', 'compute', 'the', 'number', 'of', 'stable', 'bundles', 'of', 'not', 'necessarily', 'coprime', 'rank', 'and', 'degree', 'over', 'it', 'we', 'apply', 'this', 'result', 'to', 'compute', 'the', 'virtual', 'poincare', 'polynomials', 'of', 'the', 'moduli', 'spaces', 'of', 'stable', 'bundles', 'over', 'a', 'curve', 'a', 'similar', 'formula', 'for', 'the', 'virtual', 'hodge', 'polynomials', 'and', 'motives', 'is', 'conjectured']] | [-0.2262533592737534, 0.09052979870572347, -0.1721607045693831, 0.08261494495990601, -0.07234465187754144, -0.13001699420538815, 0.02356055531312119, 0.3332108157263561, -0.3287544379180128, -0.179139343962412, 0.0699088275601918, -0.15617538932710887, -0.1729170337319374, 0.23762238592925397, -0.16345421441576696, -0.016774937294592913, 0.009973164067857644, 0.11468262177976694, -0.08373608191243627, -0.3782041630115021, 0.4087539813735268, -0.05398339759558439, 0.2369530812413855, 0.07066406860778278, 0.14781283528798006, 0.06059101200662553, -0.026266746019775217, -0.025524725290861996, -0.1197051606056365, 0.17340595940635964, 0.3184314620765773, 0.08284224830567836, 0.17550914771854878, -0.3319145756688985, -0.1253868757662448, 0.29364875322207806, 0.09928235636854714, 0.023143250427462837, 0.056901277688501235, -0.1797661835158413, 0.13326945298944007, -0.20004095134394118, -0.22118584105575625, -0.11019410206512971, 0.07031906348314475, 0.02498766476796432, -0.23689496382562952, -0.08853225865485993, 0.005610533532771197, 0.16386361823163248, -0.11265252374789932, -0.08047887853092768, -0.06246343068778515, 0.02813958182761615, 0.011599564090879127, 0.04775126157963479, 0.04334760235453194, -0.11090623288923367, -0.11467729783193632, 0.35957463075491514, -0.08014948361299255, -0.2125694060867483, 0.08871349263936282, -0.1552656136622483, -0.11061021712693302, 0.21405256233093414, 0.13543958364223893, 0.24831391937914304, 0.09118119866841219, 0.12403133910953659, -0.1577891655266285, 0.10291091125797142, 0.12297687425532124, -0.04730363833633336, 0.15309414037249305, 0.016685810541226104, 0.052093547049232504, 0.12103170495141637, -0.009174844487146897, -0.10047421168684113, -0.36306280437856914, -0.2757349020716819, -0.1511608905751597, 0.1309506699487842, -0.16220934759264558, -0.21653651189567014, 0.4412928456609899, 0.028294884142550554, 0.21867205836725506, 0.18905807472765446, 0.24006822105835784, 0.06725318755277178, 0.09068227623674002, 0.06922005212611773, 0.14383889084512538, 0.2641371612860398, 0.008803700759414244, -0.10116331938823515, -0.009483837776563385, 0.20390898727557877] |
711.0635 | Spectral flow and iteration of closed semi-Riemannian geodesics | We introduce the notion of spectral flow along a periodic semi-Riemannian
geodesic, as a suitable substitute of the Morse index in the Riemannian case.
We study the growth of the spectral flow along a closed geodesic under
iteration, determining its asymptotic behavior.
| math.DG | we introduce the notion of spectral flow along a periodic semiriemannian geodesic as a suitable substitute of the morse index in the riemannian case we study the growth of the spectral flow along a closed geodesic under iteration determining its asymptotic behavior | [['we', 'introduce', 'the', 'notion', 'of', 'spectral', 'flow', 'along', 'a', 'periodic', 'semiriemannian', 'geodesic', 'as', 'a', 'suitable', 'substitute', 'of', 'the', 'morse', 'index', 'in', 'the', 'riemannian', 'case', 'we', 'study', 'the', 'growth', 'of', 'the', 'spectral', 'flow', 'along', 'a', 'closed', 'geodesic', 'under', 'iteration', 'determining', 'its', 'asymptotic', 'behavior']] | [-0.22073125480008976, 0.06251951147403036, -0.14118839379045225, 0.0809475008753084, -0.10326354875273648, -0.11046381274770413, -0.010104309883899987, 0.3832473849678146, -0.2965974244510844, -0.17039923400928578, 0.1267054552029419, -0.2552545052465229, -0.14662425906308704, 0.16614308071854925, -0.12983384455687233, 0.0784630798942609, 0.06685474107845428, 0.11700260084831998, -0.09996301547757216, -0.1218094046039152, 0.39595661736980436, 0.010288128230188574, 0.26451557651273017, 0.049299630506928746, 0.07996069143215816, 0.031500929179379626, -0.005882577926275276, 0.07833772046225411, -0.23109401753615766, 0.17409842971357561, 0.15802407417712466, 0.08301335728416841, 0.2703517398442186, -0.3602808273973919, -0.2280345530737014, 0.14284545830672696, 0.14752617039318597, -0.011974724503012285, -0.06832895048760942, -0.21317355294290574, 0.1098637870912041, -0.0941328959362138, -0.24285986944700458, -0.02457494581384318, -0.02647315828307044, 0.032459987101555315, -0.1965857236202629, 0.01756145813990207, 0.12587167097843208, 0.13452802984310047, -0.10109829228825956, 0.006852012859391314, -0.0597566177325678, 0.10149340485666125, 0.10080522156897045, -0.016867836116857472, 0.1240428510742883, -0.0364407751531828, -0.046335269031780105, 0.39303998045978095, -0.15807275815556446, -0.27642666708145824, 0.07950290357084236, -0.10306065423148018, -0.1415789874181861, 0.10648088396659919, 0.17066529027388674, 0.20946235857194379, -0.10372896734181614, 0.13727366427580515, -0.05203339112752777, 0.02937645988450164, 0.1322364205095385, -0.01343519389185877, 0.12891453125381044, 0.12352353276773578, 0.17458566468918607, 0.2278923654396619, -0.09214040592667602, -0.09121928073554522, -0.35621176039179164, -0.2610191868706828, -0.14859983724142825, 0.1427868404647424, -0.2174213401352366, -0.2821798928170687, 0.47785564778106554, -0.003236037723365284, 0.19757338351614417, 0.1106987900455438, 0.2414533081630777, 0.11267408145137042, -0.05069872893259993, 0.12704940126942738, 0.1814843094963137, 0.19877811751350583, 0.10710039941339, -0.22694385623825447, -0.006034553261651169, 0.1814597912265786] |
711.0636 | On the Relation Between Mechanisms for Single-Transverse-Spin
Asymmetries | Recent studies have shown that two widely-used mechanisms for
single-transverse-spin asymmetries based on either twist-three contributions or
on transverse-momentum-dependent (Sivers) parton distributions become identical
in a kinematical regime of overlap. This was demonstrated for the so-called
soft-gluon-pole and hard-pole contributions to the asymmetry associated with a
particular quark-gluon correlation function in the nucleon. In this paper,
using semi-inclusive deep inelastic scattering as an example, we extend the
study to the contributions by soft-fermion poles and by another independent
twist-three correlation function. We find that these additional terms organize
themselves in such a way as to maintain the mutual consistency of the two
mechanisms for single-spin asymmetries.
| hep-ph | recent studies have shown that two widelyused mechanisms for singletransversespin asymmetries based on either twistthree contributions or on transversemomentumdependent sivers parton distributions become identical in a kinematical regime of overlap this was demonstrated for the socalled softgluonpole and hardpole contributions to the asymmetry associated with a particular quarkgluon correlation function in the nucleon in this paper using semiinclusive deep inelastic scattering as an example we extend the study to the contributions by softfermion poles and by another independent twistthree correlation function we find that these additional terms organize themselves in such a way as to maintain the mutual consistency of the two mechanisms for singlespin asymmetries | [['recent', 'studies', 'have', 'shown', 'that', 'two', 'widelyused', 'mechanisms', 'for', 'singletransversespin', 'asymmetries', 'based', 'on', 'either', 'twistthree', 'contributions', 'or', 'on', 'transversemomentumdependent', 'sivers', 'parton', 'distributions', 'become', 'identical', 'in', 'a', 'kinematical', 'regime', 'of', 'overlap', 'this', 'was', 'demonstrated', 'for', 'the', 'socalled', 'softgluonpole', 'and', 'hardpole', 'contributions', 'to', 'the', 'asymmetry', 'associated', 'with', 'a', 'particular', 'quarkgluon', 'correlation', 'function', 'in', 'the', 'nucleon', 'in', 'this', 'paper', 'using', 'semiinclusive', 'deep', 'inelastic', 'scattering', 'as', 'an', 'example', 'we', 'extend', 'the', 'study', 'to', 'the', 'contributions', 'by', 'softfermion', 'poles', 'and', 'by', 'another', 'independent', 'twistthree', 'correlation', 'function', 'we', 'find', 'that', 'these', 'additional', 'terms', 'organize', 'themselves', 'in', 'such', 'a', 'way', 'as', 'to', 'maintain', 'the', 'mutual', 'consistency', 'of', 'the', 'two', 'mechanisms', 'for', 'singlespin', 'asymmetries']] | [-0.07875965950672321, 0.14716323352331528, -0.1522945489136959, 0.15743968947922354, -0.04116138011955146, -0.025621900594143092, -0.007493823040759999, 0.3756328046603023, -0.22221593727041386, -0.2070709839199652, -0.01872945050875061, -0.33327316851267275, -0.12754917841949412, 0.13700187439318606, 0.060820163732816304, 0.056923597690842626, 0.034059591712166534, -0.04980068869959071, -0.04849650351786964, -0.20634967222247483, 0.39333411195877727, 0.015217545982351404, 0.26325840261360667, 0.15054092904605534, 0.08971398174850587, 0.10293532378602561, -0.08190745680223939, -0.010488144743678002, -0.10168300778893337, 0.07229913540079065, 0.24749855515503166, 0.056761171988841425, 0.16131545922648655, -0.4178228235873833, -0.14611952539252224, 0.08515237257288734, 0.20571821191752293, 0.09168847823374958, -0.029756355079611378, -0.22504293855349972, 0.00108039361547749, -0.23173055760913863, -0.11824659114035796, -0.12866130205451176, 0.012056311108677139, 0.013161844035768706, -0.31727483950309315, 0.07899684268313478, 0.024555599975909264, 0.0010959283681586385, 0.006535109013916468, -0.21361371978484797, -0.010043505768133502, 0.09822091919848835, 0.10737331035406382, 0.10269462223876408, 0.10086081279793156, -0.18471023814866916, -0.1845742892946187, 0.3041343129116972, -0.02859510647194495, -0.22707425232758122, 0.15115297667655814, -0.19187937583774328, -0.18088124819837934, 0.07472305671742432, 0.20215826156935743, 0.09409123285369342, -0.23997126384374667, 0.037258844768830554, -0.03229949956777382, 0.12300853244960308, 0.10095160807711336, 0.08757134274039242, 0.19777897348680165, 0.12639099718642616, -0.014811778597024112, 0.13686857957234783, -0.09896087056555222, -0.09975131396379955, -0.319658885938379, -0.09079451139199214, -0.1122228610653316, 0.04625170585427012, -0.04672659869181686, -0.13510369118561152, 0.3706359606552518, 0.13177527196678984, 0.27405242813434805, 0.015933824929338442, 0.3330536373311056, 0.106709356121016, 0.12221633833898934, 0.0266813692935514, 0.2640024719953115, 0.1538197099020318, 0.11019045682975424, -0.24820474679757543, 0.11295162072023025, 0.03576703659557509] |
711.0637 | Symmetry breaking and quantum correlations in finite systems: Studies of
quantum dots and ultracold Bose gases and related nuclear and chemical
methods | Investigations of emergent symmetry breaking phenomena occurring in small
finite-size systems are reviewed, with a focus on the strongly correlated
regime of electrons in two-dimensional semicoductor quantum dots and trapped
ultracold bosonic atoms in harmonic traps. Throughout the review we emphasize
universal aspects and similarities of symmetry breaking found in these systems,
as well as in more traditional fields like nuclear physics and quantum
chemistry, which are characterized by very different interparticle forces. A
unified description of strongly correlated phenomena in finite systems of
repelling particles (whether fermions or bosons) is presented through the
development of a two-step method of symmetry breaking at the unrestricted
Hartree-Fock level and of subsequent symmetry restoration via post Hartree-Fock
projection techniques. Quantitative and qualitative aspects of the two-step
method are treated and validated by exact diagonalization calculations.
Strongly-correlated phenomena emerging from symmetry breaking include: (I)
Chemical bonding, dissociation, and entanglement (at zero and finite magnetic
fields) in quantum dot molecules and in pinned electron molecular dimers formed
within a single anisotropic quantum dot. (II) Electron crystallization, with
particle localization on the vertices of concentric polygonal rings, and
formation of rotating electron molecules (REMs) in circular quantum dots. (III)
At high magnetic fields, the REMs are described by parameter-free analytic wave
functions, which are an alternative to the Laughlin and composite-fermion
approaches. (IV) Crystalline phases of strongly repelling bosons. In rotating
traps and in analogy with the REMs, such repelling bosons form rotating boson
molecules (RBMs).
| cond-mat.mes-hall cond-mat.str-el nucl-th physics.atom-ph | investigations of emergent symmetry breaking phenomena occurring in small finitesize systems are reviewed with a focus on the strongly correlated regime of electrons in twodimensional semicoductor quantum dots and trapped ultracold bosonic atoms in harmonic traps throughout the review we emphasize universal aspects and similarities of symmetry breaking found in these systems as well as in more traditional fields like nuclear physics and quantum chemistry which are characterized by very different interparticle forces a unified description of strongly correlated phenomena in finite systems of repelling particles whether fermions or bosons is presented through the development of a twostep method of symmetry breaking at the unrestricted hartreefock level and of subsequent symmetry restoration via post hartreefock projection techniques quantitative and qualitative aspects of the twostep method are treated and validated by exact diagonalization calculations stronglycorrelated phenomena emerging from symmetry breaking include i chemical bonding dissociation and entanglement at zero and finite magnetic fields in quantum dot molecules and in pinned electron molecular dimers formed within a single anisotropic quantum dot ii electron crystallization with particle localization on the vertices of concentric polygonal rings and formation of rotating electron molecules rems in circular quantum dots iii at high magnetic fields the rems are described by parameterfree analytic wave functions which are an alternative to the laughlin and compositefermion approaches iv crystalline phases of strongly repelling bosons in rotating traps and in analogy with the rems such repelling bosons form rotating boson molecules rbms | [['investigations', 'of', 'emergent', 'symmetry', 'breaking', 'phenomena', 'occurring', 'in', 'small', 'finitesize', 'systems', 'are', 'reviewed', 'with', 'a', 'focus', 'on', 'the', 'strongly', 'correlated', 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711.0638 | Correspondence between field generalized binomial states and coherent
atomic states | We show that the $N$-photon generalized binomial states of electromagnetic
field may be put in a bijective mapping with the coherent atomic states of $N$
two-level atoms. We exploit this correspondence to simply obtain both known and
new properties of the $N$-photon generalized binomial states. In particular, an
over-complete basis of these binomial states and an orthonormal basis are
obtained. Finally, the squeezing properties of generalized binomial state are
analyzed.
| quant-ph | we show that the nphoton generalized binomial states of electromagnetic field may be put in a bijective mapping with the coherent atomic states of n twolevel atoms we exploit this correspondence to simply obtain both known and new properties of the nphoton generalized binomial states in particular an overcomplete basis of these binomial states and an orthonormal basis are obtained finally the squeezing properties of generalized binomial state are analyzed | [['we', 'show', 'that', 'the', 'nphoton', 'generalized', 'binomial', 'states', 'of', 'electromagnetic', 'field', 'may', 'be', 'put', 'in', 'a', 'bijective', 'mapping', 'with', 'the', 'coherent', 'atomic', 'states', 'of', 'n', 'twolevel', 'atoms', 'we', 'exploit', 'this', 'correspondence', 'to', 'simply', 'obtain', 'both', 'known', 'and', 'new', 'properties', 'of', 'the', 'nphoton', 'generalized', 'binomial', 'states', 'in', 'particular', 'an', 'overcomplete', 'basis', 'of', 'these', 'binomial', 'states', 'and', 'an', 'orthonormal', 'basis', 'are', 'obtained', 'finally', 'the', 'squeezing', 'properties', 'of', 'generalized', 'binomial', 'state', 'are', 'analyzed']] | [-0.10255906194714563, 0.19183709293179813, -0.0987638411428114, 0.06677664879410128, -0.028948302726660456, -0.14982052290412998, 0.05059638036681073, 0.37038945694054876, -0.32363138100398436, -0.17154429358031067, 0.007674306707589754, -0.2617682388983667, -0.13368761869080897, 0.16713024345891817, -0.02971012686445777, 0.08629446729485478, 0.0627749063274158, 0.03409637223396982, -0.06193254174598094, -0.2346316585184208, 0.3558584942083274, 0.015971309959422798, 0.28908044467014926, -0.015126153534012182, 0.0952511658027236, 0.006967423457120146, -0.004826289681451661, -0.027951330079564025, -0.09816070021115593, 0.15362842355721762, 0.29725924373737406, 0.13180191709460423, 0.21994451523891517, -0.46928562628371373, -0.13499168703066453, 0.11279632600988927, 0.12276050050651455, 0.14102936685085296, -0.03263058452201741, -0.3241086654498109, -0.0016642730283950057, -0.18241891875596983, -0.17074260364419647, -0.1511999885717939, -0.01656813707834642, 0.060339939926884, -0.3109961296032582, 0.032215928572363085, 0.08511390738920974, 0.03133673239499331, -0.023901137310479367, -0.15935050937945822, -0.0165956107733239, 0.0653984785778448, -0.0942924723561321, -0.056636507812488295, 0.06006889321974346, -0.12830572427982198, -0.1848155649644988, 0.29905780090817385, -0.059931533428607506, -0.24519643911293576, 0.11719615768109048, -0.1429011491136667, -0.1367279449743884, 0.05463483231142163, 0.12262492536434105, 0.1063308914458113, -0.10843615054285952, 0.0569996714176211, -0.15319342834741942, 0.14134761806843535, 0.13867233487378275, 0.14463537659363024, 0.1691946467650788, 0.01704184238333255, 0.015331682908747877, 0.23532399311495414, -0.05014758789246636, -0.06610543643390494, -0.3134873457252979, -0.19825672870002953, -0.2529133263177105, 0.09144869342978512, -0.10389996326765479, -0.1963682629567172, 0.4229289924592844, 0.06319957098291655, 0.18813690857163498, 0.012491693307778665, 0.19698018915951251, 0.20067177135497333, -0.04009386913052627, 0.064089586080185, 0.22130579626453775, 0.23228485314175487, -0.038408333049821004, -0.17872773653694563, 0.012783843518367836, 0.056321262628106133] |
711.0639 | Magnetization easy-axis in martensitic Heusler alloys estimated by
strain measurements under magnetic-field | We study the temperature dependence of strain under constant magnetic-fields
in Ni-Mn based ferromagnetic Heusler alloys in the form Ni-Mn-$X$ ($X$: Ga, In,
Sn, Sb) which undergo a martensitic transformation. We discuss the influence of
the applied magnetic-field on the nucleation of ferromagnetic martensite and
extract information on the easy-axis of magnetization in the martensitic state.
| cond-mat.mtrl-sci | we study the temperature dependence of strain under constant magneticfields in nimn based ferromagnetic heusler alloys in the form nimnx x ga in sn sb which undergo a martensitic transformation we discuss the influence of the applied magneticfield on the nucleation of ferromagnetic martensite and extract information on the easyaxis of magnetization in the martensitic state | [['we', 'study', 'the', 'temperature', 'dependence', 'of', 'strain', 'under', 'constant', 'magneticfields', 'in', 'nimn', 'based', 'ferromagnetic', 'heusler', 'alloys', 'in', 'the', 'form', 'nimnx', 'x', 'ga', 'in', 'sn', 'sb', 'which', 'undergo', 'a', 'martensitic', 'transformation', 'we', 'discuss', 'the', 'influence', 'of', 'the', 'applied', 'magneticfield', 'on', 'the', 'nucleation', 'of', 'ferromagnetic', 'martensite', 'and', 'extract', 'information', 'on', 'the', 'easyaxis', 'of', 'magnetization', 'in', 'the', 'martensitic', 'state']] | [-0.1256764648651535, 0.19036503278396347, -0.03588560772213069, 0.007879531023685228, -0.07169060805304484, -0.08136713070456278, 0.1238264648751779, 0.4339454743333838, -0.2849260360002518, -0.2179898913949728, 0.006768957720222798, -0.278245476345447, -0.11336709036576477, 0.13113107627088375, 0.10106387770819393, -0.05029871290210973, -0.09898757968859917, 0.008674791776998477, -0.21061307381499897, -0.2569923788986423, 0.2654943011870438, -0.033494599925523456, 0.35143796300346203, 0.029289318971462888, 0.06644159098875455, 0.017837094676426867, 0.1733514540116382, 0.02047889828681946, -0.2528225794265216, -0.02826605605130846, 0.20310851504010233, -0.07582222360440276, 0.15474255239929666, -0.46440952457487583, -0.17531423455273562, 0.020440708422525364, 0.047171032940968874, 0.1232059403470802, -0.09904955776662312, -0.26178123341365295, 0.04196296444332058, -0.06652045188979669, -0.031532192316543924, -0.08990411152216521, -0.04066002105405046, 0.04863633445294743, -0.2472516193985939, 0.1394539405974766, 0.14585134610957043, 0.1563348996706984, -0.1709825562059202, -0.13224790530406277, -0.11762251701544632, -0.037006440081379634, 0.09237972704524344, 0.08423193413129246, 0.2106173012659631, -0.056636811674318534, -0.06833159048110246, 0.38635645173490046, -0.03576637265611101, -0.036584153839133, 0.07486448254520921, -0.1993521645326506, -0.14703021932562643, 0.15424543537876823, 0.1769095601217652, 0.06988500533837148, -0.13553320011124015, 0.1299696848801845, 0.10198651647025889, 0.1739094503223896, 0.06486371000382034, 0.011578671109269965, 0.1845622218806635, 0.24901844288476488, -0.012503325414251197, 0.2147933556105603, -0.15575283124873585, -0.04960513678802685, -0.1993431432172656, -0.20730713267217982, -0.23449862539260224, 0.10082249627871946, -0.18438016155030876, -0.2415603003041311, 0.39291428620080376, 0.16977050527824428, 0.16963231528431855, -0.10891840204130858, 0.11926335617053238, 0.011619006943973628, 0.05549196692776274, 0.0060041640969839966, 0.2516905257817019, 0.23197777385569432, 0.20370997488498688, -0.3589825065298514, 0.18800268740477888, 0.021177181974053383] |
711.064 | On the origin of the reversed vortex ratchet motion | We experimentally demonstrate that the origin of multiply reversed rectified
vortex motion in an asymmetric pinning landscape is a consequence not only of
the vortex-vortex interactions but also essentially depends on the ratio
between the characteristic interaction distance and the period of the
asymmetric pinning potential. Our system consists of an Al film deposited on
top of a square array of size-graded magnetic dots with a constant lattice
period a=2\mu m. Four samples with different periods of the size gradient d
were investigated. For large d the dc voltage Vdc recorded under a sinusoidal
ac excitation indicates that the average vortex drift is from bigger to smaller
dots for all explored positive fields. As d is reduced a series of sign
reversals in the dc response are observed as a function of field. We show that
the number of sign reversals increases as d decreases. These findings are in
agreement with recent computer simulations and illustrate the relevance of the
different characteristic lengths for the vortex rectification effects.
| cond-mat.supr-con | we experimentally demonstrate that the origin of multiply reversed rectified vortex motion in an asymmetric pinning landscape is a consequence not only of the vortexvortex interactions but also essentially depends on the ratio between the characteristic interaction distance and the period of the asymmetric pinning potential our system consists of an al film deposited on top of a square array of sizegraded magnetic dots with a constant lattice period a2mu m four samples with different periods of the size gradient d were investigated for large d the dc voltage vdc recorded under a sinusoidal ac excitation indicates that the average vortex drift is from bigger to smaller dots for all explored positive fields as d is reduced a series of sign reversals in the dc response are observed as a function of field we show that the number of sign reversals increases as d decreases these findings are in agreement with recent computer simulations and illustrate the relevance of the different characteristic lengths for the vortex rectification effects | [['we', 'experimentally', 'demonstrate', 'that', 'the', 'origin', 'of', 'multiply', 'reversed', 'rectified', 'vortex', 'motion', 'in', 'an', 'asymmetric', 'pinning', 'landscape', 'is', 'a', 'consequence', 'not', 'only', 'of', 'the', 'vortexvortex', 'interactions', 'but', 'also', 'essentially', 'depends', 'on', 'the', 'ratio', 'between', 'the', 'characteristic', 'interaction', 'distance', 'and', 'the', 'period', 'of', 'the', 'asymmetric', 'pinning', 'potential', 'our', 'system', 'consists', 'of', 'an', 'al', 'film', 'deposited', 'on', 'top', 'of', 'a', 'square', 'array', 'of', 'sizegraded', 'magnetic', 'dots', 'with', 'a', 'constant', 'lattice', 'period', 'a2mu', 'm', 'four', 'samples', 'with', 'different', 'periods', 'of', 'the', 'size', 'gradient', 'd', 'were', 'investigated', 'for', 'large', 'd', 'the', 'dc', 'voltage', 'vdc', 'recorded', 'under', 'a', 'sinusoidal', 'ac', 'excitation', 'indicates', 'that', 'the', 'average', 'vortex', 'drift', 'is', 'from', 'bigger', 'to', 'smaller', 'dots', 'for', 'all', 'explored', 'positive', 'fields', 'as', 'd', 'is', 'reduced', 'a', 'series', 'of', 'sign', 'reversals', 'in', 'the', 'dc', 'response', 'are', 'observed', 'as', 'a', 'function', 'of', 'field', 'we', 'show', 'that', 'the', 'number', 'of', 'sign', 'reversals', 'increases', 'as', 'd', 'decreases', 'these', 'findings', 'are', 'in', 'agreement', 'with', 'recent', 'computer', 'simulations', 'and', 'illustrate', 'the', 'relevance', 'of', 'the', 'different', 'characteristic', 'lengths', 'for', 'the', 'vortex', 'rectification', 'effects']] | [-0.2073218857361767, 0.18224476493705002, -0.02587116482360457, 0.0010121461804900094, -0.02590892555371645, -0.1272319228730602, 0.016653139686986177, 0.3966320942279445, -0.2738428973727467, -0.3060644616215793, 0.04858680169661922, -0.2669211154902166, -0.13111955571235215, 0.23524955618447702, 0.009968651116388031, -0.005387686389352542, 0.01955642962985369, 0.028723648085864823, -0.04595010600989707, -0.24489937686005114, 0.2492601850185072, 0.010336192215355226, 0.29200323992016086, 0.05539936599769091, 0.06344218855353453, -0.0021445350497063384, 0.022878873269620677, 0.08632395083241794, -0.12370254374764045, 0.03669783856343837, 0.14469083405628588, -0.007302083361175764, 0.22585986954923046, -0.4265449202243598, -0.1725663610345527, 0.07519404606399946, 0.14882869103149207, 0.10493487730925252, -0.0512919020965269, -0.2285852608402787, 0.08022157267207303, -0.11027176227106388, -0.12080614446909223, -0.0009055734017347715, 0.1222414654428532, 0.09100511393275572, -0.28333986725332777, 0.10009242923132912, 0.05332427957243881, 0.11431264456541064, -0.06099462197358574, -0.16400916404469523, -0.04252437148832278, 0.0876414082695082, 0.059617584740956235, 0.06109233837257734, 0.1659652532796454, -0.13228265422744206, -0.12253334409703152, 0.31060062618140716, -0.10075994022050311, -0.15432500931804619, 0.15900416432105632, -0.18996985403383262, -0.03616047870940725, 0.1529060329579894, 0.15673596066905252, 0.09860228149624295, -0.08465349017249713, 0.04913354504233541, -0.06209072707422886, 0.18029427675934262, 0.09688918259561466, -0.0025247891173794086, 0.2359643924240786, 0.16967856263494993, 0.07100198991282518, 0.16090500040866254, -0.13572188271125443, -0.0827492551000772, -0.2946740370299892, -0.10156837880824614, -0.2216727732489985, 0.062078379648713065, -0.09144995750628652, -0.16707165944053376, 0.39606470997860455, 0.11419017323999699, 0.23629933041439768, 0.015074692238739366, 0.23450055217976312, 0.10676702998609405, 0.09116267013249228, 0.03271858052053231, 0.22303611464259854, 0.14979488225036627, 0.11480730787587229, -0.2987215740070398, 0.0711290559384983, -0.0077701205126829] |
711.0641 | HJB equations for certain singularly controlled diffusions | Given a closed, bounded convex set $\mathcal{W}\subset{\mathbb {R}}^d$ with
nonempty interior, we consider a control problem in which the state process $W$
and the control process $U$ satisfy \[W_t= w_0+\int_0^t\vartheta(W_s)
ds+\int_0^t\sigma(W_s) dZ_s+GU_t\in \mathcal{W},\qquad t\ge0,\] where $Z$ is a
standard, multi-dimensional Brownian motion, $\vartheta,\sigma\in
C^{0,1}(\mathcal{W})$, $G$ is a fixed matrix, and $w_0\in\mathcal{W}$. The
process $U$ is locally of bounded variation and has increments in a given
closed convex cone $\mathcal{U}\subset{\mathbb{R}}^p$. Given $g\in
C(\mathcal{W})$, $\kappa\in{\mathbb{R}}^p$, and $\alpha>0$, consider the
objective that is to minimize the cost
\[J(w_0,U)\doteq\mathbb{E}\biggl[\int_0^{\infty}e^{-\alpha s}g(W_s)
ds+\int_{[0,\infty)}e^{-\alpha s} d(\kappa\cdot U_s)\biggr]\] over the
admissible controls $U$. Both $g$ and $\kappa\cdot u$ ($u\in\mathcal{U}$) may
take positive and negative values. This paper studies the corresponding dynamic
programming equation (DPE), a second-order degenerate elliptic partial
differential equation of HJB-type with a state constraint boundary condition.
Under the controllability condition $G\mathcal{U}={\mathbb{R}}^d$ and the
finiteness of $\mathcal{H}(q)=\sup_{u\in\mathcal{U}_1}\{-Gu\cdot q-\kappa\cdot
u\}$, $q\in {\mathbb{R}}^d$, where $\mathcal{U}_1=\{u\in\mathcal{U}:|Gu|=1\}$,
we show that the cost, that involves an improper integral, is well defined. We
establish the following: (i) the value function for the control problem
satisfies the DPE (in the viscosity sense), and (ii) the condition
$\inf_{q\in{\mathbb{R}}^d}\mathcal{H}(q)<0$ is necessary and sufficient for
uniqueness of solutions to the DPE. The existence and uniqueness of solutions
are shown to be connected to an intuitive ``no arbitrage'' condition. Our
results apply to Brownian control problems that represent formal diffusion
approximations to control problems associated with stochastic processing
networks.
| math.PR | given a closed bounded convex set mathcalwsubsetmathbb rd with nonempty interior we consider a control problem in which the state process w and the control process u satisfy w_t w_0int_0tvarthetaw_s dsint_0tsigmaw_s dz_sgu_tin mathcalwqquad tge0 where z is a standard multidimensional brownian motion varthetasigmain c01mathcalw g is a fixed matrix and w_0inmathcalw the process u is locally of bounded variation and has increments in a given closed convex cone mathcalusubsetmathbbrp given gin cmathcalw kappainmathbbrp and alpha0 consider the objective that is to minimize the cost jw_0udoteqmathbbebigglint_0inftyealpha sgw_s dsint_0inftyealpha s dkappacdot u_sbiggr over the admissible controls u both g and kappacdot u uinmathcalu may take positive and negative values this paper studies the corresponding dynamic programming equation dpe a secondorder degenerate elliptic partial differential equation of hjbtype with a state constraint boundary condition under the controllability condition gmathcalumathbbrd and the finiteness of mathcalhqsup_uinmathcalu_1gucdot qkappacdot u qin mathbbrd where mathcalu_1uinmathcalugu1 we show that the cost that involves an improper integral is well defined we establish the following i the value function for the control problem satisfies the dpe in the viscosity sense and ii the condition inf_qinmathbbrdmathcalhq0 is necessary and sufficient for uniqueness of solutions to the dpe the existence and uniqueness of solutions are shown to be connected to an intuitive no arbitrage condition our results apply to brownian control problems that represent formal diffusion approximations to control problems associated with stochastic processing networks | [['given', 'a', 'closed', 'bounded', 'convex', 'set', 'mathcalwsubsetmathbb', 'rd', 'with', 'nonempty', 'interior', 'we', 'consider', 'a', 'control', 'problem', 'in', 'which', 'the', 'state', 'process', 'w', 'and', 'the', 'control', 'process', 'u', 'satisfy', 'w_t', 'w_0int_0tvarthetaw_s', 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711.0642 | Geodetic Line at Constant Altitude above the Ellipsoid | The two-dimensional surface of a bi-axial ellipsoid is characterized by the
lengths of its major and minor axes. Longitude and latitude span an angular
coordinate system across. We consider the egg-shaped surface of constant
altitude above (or below) the ellipsoid surface, and compute the geodetic lines
- lines of minimum Euclidean length - within this surface which connect two
points of fixed coordinates. This addresses the common "inverse" problem of
geodesics generalized to non-zero elevations. The system of differential
equations which couples the two angular coordinates along the trajectory is
reduced to a single integral, which is handled by Taylor expansion up to fourth
power in the eccentricity.
| math.MG | the twodimensional surface of a biaxial ellipsoid is characterized by the lengths of its major and minor axes longitude and latitude span an angular coordinate system across we consider the eggshaped surface of constant altitude above or below the ellipsoid surface and compute the geodetic lines lines of minimum euclidean length within this surface which connect two points of fixed coordinates this addresses the common inverse problem of geodesics generalized to nonzero elevations the system of differential equations which couples the two angular coordinates along the trajectory is reduced to a single integral which is handled by taylor expansion up to fourth power in the eccentricity | [['the', 'twodimensional', 'surface', 'of', 'a', 'biaxial', 'ellipsoid', 'is', 'characterized', 'by', 'the', 'lengths', 'of', 'its', 'major', 'and', 'minor', 'axes', 'longitude', 'and', 'latitude', 'span', 'an', 'angular', 'coordinate', 'system', 'across', 'we', 'consider', 'the', 'eggshaped', 'surface', 'of', 'constant', 'altitude', 'above', 'or', 'below', 'the', 'ellipsoid', 'surface', 'and', 'compute', 'the', 'geodetic', 'lines', 'lines', 'of', 'minimum', 'euclidean', 'length', 'within', 'this', 'surface', 'which', 'connect', 'two', 'points', 'of', 'fixed', 'coordinates', 'this', 'addresses', 'the', 'common', 'inverse', 'problem', 'of', 'geodesics', 'generalized', 'to', 'nonzero', 'elevations', 'the', 'system', 'of', 'differential', 'equations', 'which', 'couples', 'the', 'two', 'angular', 'coordinates', 'along', 'the', 'trajectory', 'is', 'reduced', 'to', 'a', 'single', 'integral', 'which', 'is', 'handled', 'by', 'taylor', 'expansion', 'up', 'to', 'fourth', 'power', 'in', 'the', 'eccentricity']] | [-0.2282642365591425, 0.1267366421307088, -0.027599082890687125, -0.006231899341383844, -0.06448029382549718, -0.08645391657966066, 0.007119870443722971, 0.33325573215744336, -0.3191408499513032, -0.28714051121793127, 0.06696235378742886, -0.2672521609168847, -0.07061907804333868, 0.17350269488348924, -0.061723830294795334, 0.031961379080180534, 0.014927128061898193, 0.023802544706378062, -0.11522446346978815, -0.20484796407377734, 0.30835866254209626, 0.05303514093700972, 0.19906003495792524, 0.006340125211040085, 0.16897620160115073, 0.024362783105868212, -0.008617852515769455, 0.06091382191955762, -0.16097711725819433, 0.10189260608398022, 0.20246912126499667, 0.06079210941064751, 0.20882088937225557, -0.371182799703916, -0.1784168750943862, 0.04900417261633952, 0.13932198449916575, 0.05941981009212059, 0.0531242642472586, -0.2208121412011953, 0.05101720392396498, -0.1133831720272044, -0.25549150678276455, 0.023578743907218834, 0.05639205032186407, 0.035259403393797156, -0.18273283260927167, 0.08068775771765636, 0.069211421099509, 0.10869752889815366, -0.060309112108233476, -0.11633443495671633, -0.07321750867303531, 0.09328508529952674, 0.08622565739326847, 0.07775282481974123, 0.13645998136588494, -0.05931605139905411, -0.053293828360455216, 0.3974268652041847, -0.060368411467006465, -0.21629228025130084, 0.10053309076904969, -0.17562485818382143, -0.053925511176820914, 0.1855475551817777, 0.20614940918243999, 0.13819978534648159, -0.13735838993979654, 0.09929226854440475, -0.02716459550033763, 0.1384476381529755, 0.15571824772467943, -0.06768332145018678, 0.27660773102334646, 0.04898349650397475, 0.13820924543125448, 0.1066087786830909, -0.15376429800559185, -0.11894320519992484, -0.29686841185046536, -0.16458071636712565, -0.18925263946173046, 0.011619795731022814, -0.13516618629858745, -0.19134095841843002, 0.4028855049455503, 0.07264860243237806, 0.24144774194332366, 0.015691049094696284, 0.30468815793546866, 0.11901027654772098, 0.08265329466667026, 0.12128978454780255, 0.2308038545438563, 0.12864605182856498, 0.06385964026920637, -0.24900436532938466, 0.01551602658253374, 0.09508683085265868] |
711.0643 | A parallel gravitational N-body kernel | We describe source code level parallelization for the {\tt kira} direct
gravitational $N$-body integrator, the workhorse of the {\tt starlab}
production environment for simulating dense stellar systems. The
parallelization strategy, called ``j-parallelization'', involves the partition
of the computational domain by distributing all particles in the system among
the available processors. Partial forces on the particles to be advanced are
calculated in parallel by their parent processors, and are then summed in a
final global operation. Once total forces are obtained, the computing elements
proceed to the computation of their particle trajectories. We report the
results of timing measurements on four different parallel computers, and
compare them with theoretical predictions. The computers employ either a
high-speed interconnect, a NUMA architecture to minimize the communication
overhead or are distributed in a grid. The code scales well in the domain
tested, which ranges from 1024 - 65536 stars on 1 - 128 processors, providing
satisfactory speedup. Running the production environment on a grid becomes
inefficient for more than 60 processors distributed across three sites.
| astro-ph cs.DC | we describe source code level parallelization for the tt kira direct gravitational nbody integrator the workhorse of the tt starlab production environment for simulating dense stellar systems the parallelization strategy called jparallelization involves the partition of the computational domain by distributing all particles in the system among the available processors partial forces on the particles to be advanced are calculated in parallel by their parent processors and are then summed in a final global operation once total forces are obtained the computing elements proceed to the computation of their particle trajectories we report the results of timing measurements on four different parallel computers and compare them with theoretical predictions the computers employ either a highspeed interconnect a numa architecture to minimize the communication overhead or are distributed in a grid the code scales well in the domain tested which ranges from 1024 65536 stars on 1 128 processors providing satisfactory speedup running the production environment on a grid becomes inefficient for more than 60 processors distributed across three sites | [['we', 'describe', 'source', 'code', 'level', 'parallelization', 'for', 'the', 'tt', 'kira', 'direct', 'gravitational', 'nbody', 'integrator', 'the', 'workhorse', 'of', 'the', 'tt', 'starlab', 'production', 'environment', 'for', 'simulating', 'dense', 'stellar', 'systems', 'the', 'parallelization', 'strategy', 'called', 'jparallelization', 'involves', 'the', 'partition', 'of', 'the', 'computational', 'domain', 'by', 'distributing', 'all', 'particles', 'in', 'the', 'system', 'among', 'the', 'available', 'processors', 'partial', 'forces', 'on', 'the', 'particles', 'to', 'be', 'advanced', 'are', 'calculated', 'in', 'parallel', 'by', 'their', 'parent', 'processors', 'and', 'are', 'then', 'summed', 'in', 'a', 'final', 'global', 'operation', 'once', 'total', 'forces', 'are', 'obtained', 'the', 'computing', 'elements', 'proceed', 'to', 'the', 'computation', 'of', 'their', 'particle', 'trajectories', 'we', 'report', 'the', 'results', 'of', 'timing', 'measurements', 'on', 'four', 'different', 'parallel', 'computers', 'and', 'compare', 'them', 'with', 'theoretical', 'predictions', 'the', 'computers', 'employ', 'either', 'a', 'highspeed', 'interconnect', 'a', 'numa', 'architecture', 'to', 'minimize', 'the', 'communication', 'overhead', 'or', 'are', 'distributed', 'in', 'a', 'grid', 'the', 'code', 'scales', 'well', 'in', 'the', 'domain', 'tested', 'which', 'ranges', 'from', '1024', '65536', 'stars', 'on', '1', '128', 'processors', 'providing', 'satisfactory', 'speedup', 'running', 'the', 'production', 'environment', 'on', 'a', 'grid', 'becomes', 'inefficient', 'for', 'more', 'than', '60', 'processors', 'distributed', 'across', 'three', 'sites']] | [-0.1752944791424809, 0.10409227000699113, -0.04492143081456777, 0.042351175009527994, -0.023363177686752307, -0.1484249541369666, 0.04797308847940128, 0.3880402358204481, -0.25718589939753567, -0.3695007456865694, 0.10683396515932622, -0.2805554666445546, -0.015989159016282343, 0.22928024200345612, 0.00923297622735152, 0.07519415042839855, 0.13569353100527742, -0.014666267428159093, -0.04809317010222003, -0.27435992860202013, 0.2398490638546978, 0.08191346006822728, 0.24237450007681868, -0.011798038967667492, 0.08702802190479512, -0.03127890236126924, -0.07328592345792069, -0.03649028779251412, -0.0742836828520965, 0.10480392786008624, 0.21063892935801828, 0.15236198507981108, 0.24198864644858986, -0.49362791715455906, -0.14179537959699656, 0.05528919029789644, 0.14688025504195443, 0.0880144377969416, -0.04439443580910544, -0.22843559626545312, 0.10868596369844108, -0.19498961978769375, -0.05981539657694243, -0.04422254127261806, 0.015593916705776272, 0.05815318953301314, -0.24328162739541204, 0.012212659027725403, -0.03381222833455207, 0.05031141928546796, -0.01715586514910683, -0.13012118075095627, 0.013284624683105253, 0.1362775895963534, -0.05173486944044098, 0.03230012588496071, 0.19492757168509775, -0.10688130515890884, -0.14932826067420787, 0.40863335460779215, -0.017292517653567346, -0.19641881736571945, 0.21837359193679212, -0.08147758548563745, -0.13605933620073346, 0.11179793025699578, 0.2263945774507842, 0.09630886221670412, -0.15872575022790225, 0.07158027122897606, 0.05747120227966834, 0.18616231223374294, 0.045387009695072526, 0.023794891466552923, 0.19669537091006836, 0.1913985690279376, 0.047001740435093996, 0.11748789802645444, -0.09287832666744916, -0.15156573435732362, -0.2390249144290075, -0.16392749889443317, -0.1984215198005716, -0.015505103397160946, -0.10823290392744682, -0.14267628745818955, 0.35477349111239337, 0.15090839115908325, 0.15786519250832498, 0.10329351911007377, 0.37852843727229074, 0.03742942160793713, 0.13777965156727337, 0.17287330660370312, 0.19449799878306553, 0.07013121787098325, 0.1305809787951321, -0.21585757326309768, 0.01707177633458438, -0.000715293092764027] |
711.0644 | Empirics versus RMT in financial cross-correlations | In order to pursue the issue of the relation between the financial
cross-correlations and the conventional Random Matrix Theory we analyse several
characteristics of the stock market correlation matrices like the distribution
of eigenvalues, the cross-correlations among signs of the returns, the
volatility cross-correlations, and the multifractal characteristics of the
principal values. The results indicate that the stock market dynamics is not
simply decomposable into 'market', 'sectors', and the Wishart random bulk. This
clearly is seen when the time series used to construct the correlation matrices
are sufficiently long and thus the measurement noise suppressed. Instead, a
hierarchically convoluted and highly nonlinear organization of the market
emerges and indicates that the relevant information about the whole market is
encoded already in its constituents.
| q-fin.ST physics.soc-ph | in order to pursue the issue of the relation between the financial crosscorrelations and the conventional random matrix theory we analyse several characteristics of the stock market correlation matrices like the distribution of eigenvalues the crosscorrelations among signs of the returns the volatility crosscorrelations and the multifractal characteristics of the principal values the results indicate that the stock market dynamics is not simply decomposable into market sectors and the wishart random bulk this clearly is seen when the time series used to construct the correlation matrices are sufficiently long and thus the measurement noise suppressed instead a hierarchically convoluted and highly nonlinear organization of the market emerges and indicates that the relevant information about the whole market is encoded already in its constituents | [['in', 'order', 'to', 'pursue', 'the', 'issue', 'of', 'the', 'relation', 'between', 'the', 'financial', 'crosscorrelations', 'and', 'the', 'conventional', 'random', 'matrix', 'theory', 'we', 'analyse', 'several', 'characteristics', 'of', 'the', 'stock', 'market', 'correlation', 'matrices', 'like', 'the', 'distribution', 'of', 'eigenvalues', 'the', 'crosscorrelations', 'among', 'signs', 'of', 'the', 'returns', 'the', 'volatility', 'crosscorrelations', 'and', 'the', 'multifractal', 'characteristics', 'of', 'the', 'principal', 'values', 'the', 'results', 'indicate', 'that', 'the', 'stock', 'market', 'dynamics', 'is', 'not', 'simply', 'decomposable', 'into', 'market', 'sectors', 'and', 'the', 'wishart', 'random', 'bulk', 'this', 'clearly', 'is', 'seen', 'when', 'the', 'time', 'series', 'used', 'to', 'construct', 'the', 'correlation', 'matrices', 'are', 'sufficiently', 'long', 'and', 'thus', 'the', 'measurement', 'noise', 'suppressed', 'instead', 'a', 'hierarchically', 'convoluted', 'and', 'highly', 'nonlinear', 'organization', 'of', 'the', 'market', 'emerges', 'and', 'indicates', 'that', 'the', 'relevant', 'information', 'about', 'the', 'whole', 'market', 'is', 'encoded', 'already', 'in', 'its', 'constituents']] | [-0.11377402420375284, 0.12456767533042627, -0.12748367188884535, 0.15674313983872412, -0.042561690830360585, -0.08888160260545651, 0.030786348350641386, 0.3700651024445528, -0.30542306733749264, -0.23470117187750245, 0.1440718416824967, -0.3451611277745749, -0.18169962352225028, 0.1471581690058839, -0.01811867228489581, 0.012690014602087355, 0.013139780750876762, 0.005663546642697439, -0.01993645050343338, -0.2549612040714762, 0.31185014967284186, 0.04531130042093677, 0.3199422739188724, 0.02141507171336713, 0.10152174848911723, 0.012046905968913703, -0.10736994033043341, 0.01547176623338364, -0.059172784580827344, 0.1209295652749971, 0.2595708134576557, 0.06550092526731163, 0.2860589923140237, -0.4184205692443179, -0.15956345872529518, 0.1472067048061427, 0.08906975878796321, 0.019590554448465507, 0.05911051430474452, -0.27876181325049904, 0.021906374728428275, -0.17664261230615882, -0.09810720341908556, -0.09812843752457057, 0.016401528562532693, -0.003320182870498033, -0.2813835669558768, 0.11624915787772222, 0.054442871621302596, 0.009398900328546657, -0.018193880382857127, -0.11602563272056178, -0.04434735871419856, 0.18197741352776028, 0.11597914804659057, -0.09111258109209953, 0.15012521284246227, -0.1297001611021143, -0.11280823088481992, 0.356642621834346, -0.06171631259366688, -0.17524569316547575, 0.11559397157857089, -0.21057038212846207, -0.11672459549944454, 0.09685892661715426, 0.1365945259321148, 0.004129840051603875, -0.15829065616104876, 0.04196654899685636, -0.027626969366962833, 0.1999077257298963, 0.026584799083449493, 0.03695933179687557, 0.21092909718844738, 0.13145031111231603, 0.063556699816713, 0.11575838333805948, -0.07294546302816854, -0.15260060135146405, -0.24513044638173065, -0.12306500310305415, -0.21690763875357505, 0.041614508284828475, -0.19678239410338977, -0.20241981519696614, 0.4644753588817832, 0.15392885653006777, 0.19496308028985693, 0.06904083674743287, 0.24987874108904262, 0.1137629346363625, 0.02919593501487762, 0.06481250949067677, 0.1814325987853534, 0.11728336930093242, 0.17221925332687976, -0.1893488350702919, 0.15808053357276794, -0.00839477898628731] |
711.0645 | Non-conservative Noether's theorem for fractional action-like
variational problems with intrinsic and observer times | We extend Noether's symmetry theorem to fractional action-like variational
problems with higher-order derivatives.
| math.OC math-ph math.MP | we extend noethers symmetry theorem to fractional actionlike variational problems with higherorder derivatives | [['we', 'extend', 'noethers', 'symmetry', 'theorem', 'to', 'fractional', 'actionlike', 'variational', 'problems', 'with', 'higherorder', 'derivatives']] | [-0.12397101879692994, 0.0064032743326746504, -0.1031972155548059, 0.18038243284592262, -0.3719771752277246, -0.08540150358413275, -0.00812921045312228, 0.28137657791376114, -0.40970379314743555, -0.345320310157079, 0.11813070435220233, -0.2480530346958683, -0.0943381803540083, 0.06336371543315741, -0.1876950275618583, 0.1764286310913471, -0.028370883960563403, -0.09293187509935635, -0.1963651257638748, -0.19401144264982298, 0.30075126657119167, -0.19452931617315, 0.14946694098986113, 0.14319987865523076, 0.16562727322945228, 0.07626017928123474, -0.006929692454062975, -0.06919626526247996, -0.2490116753257238, 0.19253581962906396, 0.29591057574949586, -0.03805478468823891, 0.3393423597400005, -0.4385268848675948, -0.23203902405041915, 0.11972567152518493, -0.020452996859183677, 0.16325818518033394, 0.07290323078632355, -0.41553957072588116, 0.06754756045456116, -0.14686028229502532, -0.2915400051726745, -0.1965006715259873, -0.06582570276581325, 0.011832402302668644, -0.2779975590797571, 0.3017117577390029, 0.16604098247794005, 0.01651471846092206, -0.08772374897335584, -0.13773975177453116, -0.03413495300516773, -0.11615273370765723, 0.1045127658603283, -0.031673488135521226, 0.0224444138763759, -0.04602206079289317, -0.32343732289826643, 0.3987757795705245, -0.0388518980740068, -0.3608362955542711, 0.0010588163366684546, -0.05346022918820381, -0.3818668336965717, 0.017621973887659036, 0.1382135833398654, 0.27280927829157847, -0.10016972972796513, 0.11665519441549595, 0.00996162355519258, 0.10583587162769757, 0.17329906872831857, 0.005671523224848967, -0.051202850273022286, -0.03453760880690355, 0.2531522409274028, 0.1909712035782062, 0.0549591609205191, -0.2469466678225077, -0.4010685309767723, -0.1764154568171272, -0.16360951136224544, 0.0805052060347337, -0.10689954373698968, -0.09548711490172607, 0.26900733835422075, 0.19974121214965215, -0.09319871950608033, 0.2079616546487579, 0.2026333725796296, 0.37069948433110345, 0.056013439781963825, 0.03259295282455591, 0.12908767693890974, 0.3498705654190137, 0.13683426967607096, -0.15516621965126923, -0.17939461438128582, 0.3146174325106236] |
711.0646 | Josephson junctions as detectors for non-Gaussian noise | Non-Gaussian fluctuations of the electrical current can be detected with a
Josephson junction placed on-chip with the noise source. We present preliminary
measurements with an NIS junction as a noise source, and a Josephson junction
in the thermal escape regime as a noise detector. It is shown that the
Josephson junction detects not only the average noise, which manifests itself
as an increased effective temperature, but also the noise asymmetry. A
theoretical description of the thermal escape of a Josephson junction in
presence of noise with a non-zero third cumulant is presented, together with
numerical simulations when the noise source is a tunnel junction with Poisson
noise. Comparison between experiment and theory is discussed.
| cond-mat.mes-hall | nongaussian fluctuations of the electrical current can be detected with a josephson junction placed onchip with the noise source we present preliminary measurements with an nis junction as a noise source and a josephson junction in the thermal escape regime as a noise detector it is shown that the josephson junction detects not only the average noise which manifests itself as an increased effective temperature but also the noise asymmetry a theoretical description of the thermal escape of a josephson junction in presence of noise with a nonzero third cumulant is presented together with numerical simulations when the noise source is a tunnel junction with poisson noise comparison between experiment and theory is discussed | [['nongaussian', 'fluctuations', 'of', 'the', 'electrical', 'current', 'can', 'be', 'detected', 'with', 'a', 'josephson', 'junction', 'placed', 'onchip', 'with', 'the', 'noise', 'source', 'we', 'present', 'preliminary', 'measurements', 'with', 'an', 'nis', 'junction', 'as', 'a', 'noise', 'source', 'and', 'a', 'josephson', 'junction', 'in', 'the', 'thermal', 'escape', 'regime', 'as', 'a', 'noise', 'detector', 'it', 'is', 'shown', 'that', 'the', 'josephson', 'junction', 'detects', 'not', 'only', 'the', 'average', 'noise', 'which', 'manifests', 'itself', 'as', 'an', 'increased', 'effective', 'temperature', 'but', 'also', 'the', 'noise', 'asymmetry', 'a', 'theoretical', 'description', 'of', 'the', 'thermal', 'escape', 'of', 'a', 'josephson', 'junction', 'in', 'presence', 'of', 'noise', 'with', 'a', 'nonzero', 'third', 'cumulant', 'is', 'presented', 'together', 'with', 'numerical', 'simulations', 'when', 'the', 'noise', 'source', 'is', 'a', 'tunnel', 'junction', 'with', 'poisson', 'noise', 'comparison', 'between', 'experiment', 'and', 'theory', 'is', 'discussed']] | [-0.22323114746107245, 0.12614572152986575, -0.06908477213348083, 0.02276186643703432, -0.017221898804500438, -0.2068648607747858, 0.05173188997861488, 0.3508789757135929, -0.21533203121732203, -0.3051574151113368, 0.03132998720914321, -0.32911311412687627, -0.1060229429991491, 0.22621579109813625, -0.04099994611910038, -0.010887873244651576, 0.053175556812468064, 0.0042282232295787125, -0.02873484448738102, -0.14786985006771589, 0.2532724633919108, 0.11268320458067026, 0.3065260405848293, 0.043595080419133105, 0.12284056366862435, -0.09853535968138379, 0.03162287063733266, 0.07030235435160105, -0.06865482929545881, -0.020072639168223792, 0.23228969315083273, -0.06609050097074687, 0.16446273826193392, -0.44474092573581037, -0.22437625417583867, 0.08858471732227165, 0.14453106568799468, 0.15657117332458464, -0.043964811198397034, -0.33297685907924907, 0.02721092683005784, -0.160222861474674, -0.07904684602429993, -0.02088601996697355, -9.619417240875854e-05, 0.040476557598530985, -0.2694469287158235, 0.08074869518474627, 0.06112153548747301, 0.026097106673803768, 0.06120321548568379, -0.08410172005645572, -0.027357969913027136, 0.04787173010271018, -0.0049412601028483265, 0.035384042041474266, 0.22495425217213078, -0.14810366838712963, -0.07208786074791038, 0.26474081880102557, -0.12238225177044801, -0.18312055742359934, 0.12845100444463783, -0.1599110722901267, -0.0560194229331325, 0.13811758063578358, 0.05917079812079145, 0.029815204588598328, -0.2335665102690926, 0.04161573239303962, 0.021471864339617782, 0.20290360220283138, 0.06245551544257946, 0.05982646556865228, 0.24975536665634104, 0.25790127785672157, 0.08602268427708432, 0.1968984534022431, -0.19721192428678797, -0.025250009212054704, -0.3646712698075071, -0.10461178390930097, -0.21711020038071038, 0.10472315352774131, -0.05912717264130295, -0.22415539188174685, 0.3718235413952355, 0.19608283154421338, 0.18287745557660073, 0.001780911656137425, 0.3770056977467775, 0.2212497284349969, 0.00955059033769526, 0.014777312741467827, 0.19810406161929695, 0.20544775855408884, 0.12487771230945854, -0.2928046285575092, 0.07531088900245857, -0.0913919124429588] |
711.0647 | Scandium: A key element for understanding Am stars | {\rm Context.} Atomic diffusion is believed to cause the abundance anomalies
observed in AmFm stars. However, the detailed process has still not been
well-established. For instance, two possible scenarios for the diffusion theory
are presently envisaged. They differ mainly by the depth from which the
abundance anomalies emanate. The first scenario predicts that the abundances
are modified in the superficial regions of the star, just below the hydrogen
convection zone. The second scenario predicts that a much deeper extension of
the mixing zone exists due to the convection caused by Fe accumulation in
regions below the hydrogen convection zone. {\rm Aims.} We calculate much more
accurate radiative accelerations of Sc than previously, to better understand
the observed abundance anomalies of this element. We believe that it is a key
element to use as a diagnostic tool for understanding AmFm stars.
{\rmMethods.} The method employed to obtain these radiative accelerations is
based on an interpolation from the parameters of the so-called SVP parametric
method.
{\rm Results.} The radiative accelerations, shown here in a typical Am
stellar model, are discussed in light of the observed anomalies of Ca and Sc.
Our results suggest that the deeper mixing scenario is not entirely
satisfactory: the mixing zone should be deeper than what is predicted by recent
models to account for observed Sc underabundances. Our results seem more
compatible with the scenario where the abundances anomalies are created in the
superficial regions. However, only detailed evolutionary modelling with mass
loss and diffusion of all important species, including Ca and Sc, with accurate
radiative accelerations, will be able to give more insight into where the
source of these anomalies occur in AmFm stars.
| astro-ph | rm context atomic diffusion is believed to cause the abundance anomalies observed in amfm stars however the detailed process has still not been wellestablished for instance two possible scenarios for the diffusion theory are presently envisaged they differ mainly by the depth from which the abundance anomalies emanate the first scenario predicts that the abundances are modified in the superficial regions of the star just below the hydrogen convection zone the second scenario predicts that a much deeper extension of the mixing zone exists due to the convection caused by fe accumulation in regions below the hydrogen convection zone rm aims we calculate much more accurate radiative accelerations of sc than previously to better understand the observed abundance anomalies of this element we believe that it is a key element to use as a diagnostic tool for understanding amfm stars rmmethods the method employed to obtain these radiative accelerations is based on an interpolation from the parameters of the socalled svp parametric method rm results the radiative accelerations shown here in a typical am stellar model are discussed in light of the observed anomalies of ca and sc our results suggest that the deeper mixing scenario is not entirely satisfactory the mixing zone should be deeper than what is predicted by recent models to account for observed sc underabundances our results seem more compatible with the scenario where the abundances anomalies are created in the superficial regions however only detailed evolutionary modelling with mass loss and diffusion of all important species including ca and sc with accurate radiative accelerations will be able to give more insight into where the source of these anomalies occur in amfm stars | [['rm', 'context', 'atomic', 'diffusion', 'is', 'believed', 'to', 'cause', 'the', 'abundance', 'anomalies', 'observed', 'in', 'amfm', 'stars', 'however', 'the', 'detailed', 'process', 'has', 'still', 'not', 'been', 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711.0648 | INTEGRAL observations of PSR J1811-1925 and its associated Pulsar Wind
Nebula | We present spectral measurements made in the soft (20-100 keV) gamma-ray band
of the region containing the composite supernova remnant G11.2-0.3 and its
associated pulsar PSR J1811-1925. Analysis of INTEGRAL/IBIS data allows
characterisation of the system above 10 keV. The IBIS spectrum is best fitted
by a power law having photon index of 1.8^{+0.4}_{-0.3} and a 20-100 keV flux
of 1.5E{-11} erg/cm^2/s. Analysis of archival Chandra data over different
energy bands rules out the supernova shell as the site of the soft gamma-ray
emission while broad band (1-200 keV) spectral analysis strongly indicates that
the INTEGRAL/IBIS photons originate in the central zone of the system which
contains both the pulsar and its nebula. The composite X-ray and soft gamma-ray
spectrum indicates that the pulsar provides around half of the emission seen in
the soft gamma-ray domain; its spectrum is hard with no sign of a cut off up to
at least 80 keV. The other half of the emission above 10 keV comes from the
PWN; with a power law slope of 1.7 its spectrum is softer than that of the
pulsar. From the IBIS/ISGRI mosaics we are able to derive 2 sigma upper limits
for the 20-100 keV flux from the location of the nearby TeV source HESS
J1809-193 to be 4.8E{-12} erg/cm^2/s. We have also examined the likelihood of
an association between PSR J1811-1925 and HESS J1809-193. Although PSR
J1811-1925 is the most energetic pulsar in the region, the only one detected
above 10 keV and thus a possible source of energy to fuel the TeV fluxes, there
is no morphological evidence to support this pairing, making it an unlikely
counterpart.
| astro-ph | we present spectral measurements made in the soft 20100 kev gammaray band of the region containing the composite supernova remnant g11203 and its associated pulsar psr j18111925 analysis of integralibis data allows characterisation of the system above 10 kev the ibis spectrum is best fitted by a power law having photon index of 1804_03 and a 20100 kev flux of 15e11 ergcm2s analysis of archival chandra data over different energy bands rules out the supernova shell as the site of the soft gammaray emission while broad band 1200 kev spectral analysis strongly indicates that the integralibis photons originate in the central zone of the system which contains both the pulsar and its nebula the composite xray and soft gammaray spectrum indicates that the pulsar provides around half of the emission seen in the soft gammaray domain its spectrum is hard with no sign of a cut off up to at least 80 kev the other half of the emission above 10 kev comes from the pwn with a power law slope of 17 its spectrum is softer than that of the pulsar from the ibisisgri mosaics we are able to derive 2 sigma upper limits for the 20100 kev flux from the location of the nearby tev source hess j1809193 to be 48e12 ergcm2s we have also examined the likelihood of an association between psr j18111925 and hess j1809193 although psr j18111925 is the most energetic pulsar in the region the only one detected above 10 kev and thus a possible source of energy to fuel the tev fluxes there is no morphological evidence to support this pairing making it an unlikely counterpart | [['we', 'present', 'spectral', 'measurements', 'made', 'in', 'the', 'soft', '20100', 'kev', 'gammaray', 'band', 'of', 'the', 'region', 'containing', 'the', 'composite', 'supernova', 'remnant', 'g11203', 'and', 'its', 'associated', 'pulsar', 'psr', 'j18111925', 'analysis', 'of', 'integralibis', 'data', 'allows', 'characterisation', 'of', 'the', 'system', 'above', '10', 'kev', 'the', 'ibis', 'spectrum', 'is', 'best', 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711.0649 | Survival and complete convergence for a spatial branching system with
local regulation | We study a discrete time spatial branching system on $\mathbb{Z}^d$ with
logistic-type local regulation at each deme depending on a weighted average of
the population in neighboring demes. We show that the system survives for all
time with positive probability if the competition term is small enough. For a
restricted set of parameter values, we also obtain uniqueness of the nontrivial
equilibrium and complete convergence, as well as long-term coexistence in a
related two-type model. Along the way we classify the equilibria and their
domain of attraction for the corresponding deterministic coupled map lattice on
$\mathbb{Z}^d$.
| math.PR | we study a discrete time spatial branching system on mathbbzd with logistictype local regulation at each deme depending on a weighted average of the population in neighboring demes we show that the system survives for all time with positive probability if the competition term is small enough for a restricted set of parameter values we also obtain uniqueness of the nontrivial equilibrium and complete convergence as well as longterm coexistence in a related twotype model along the way we classify the equilibria and their domain of attraction for the corresponding deterministic coupled map lattice on mathbbzd | [['we', 'study', 'a', 'discrete', 'time', 'spatial', 'branching', 'system', 'on', 'mathbbzd', 'with', 'logistictype', 'local', 'regulation', 'at', 'each', 'deme', 'depending', 'on', 'a', 'weighted', 'average', 'of', 'the', 'population', 'in', 'neighboring', 'demes', 'we', 'show', 'that', 'the', 'system', 'survives', 'for', 'all', 'time', 'with', 'positive', 'probability', 'if', 'the', 'competition', 'term', 'is', 'small', 'enough', 'for', 'a', 'restricted', 'set', 'of', 'parameter', 'values', 'we', 'also', 'obtain', 'uniqueness', 'of', 'the', 'nontrivial', 'equilibrium', 'and', 'complete', 'convergence', 'as', 'well', 'as', 'longterm', 'coexistence', 'in', 'a', 'related', 'twotype', 'model', 'along', 'the', 'way', 'we', 'classify', 'the', 'equilibria', 'and', 'their', 'domain', 'of', 'attraction', 'for', 'the', 'corresponding', 'deterministic', 'coupled', 'map', 'lattice', 'on', 'mathbbzd']] | [-0.13908588436909972, 0.1111137518249355, -0.0359263394784648, 0.056360883401794126, -0.01741839190556978, -0.13827984007851532, 0.11472833709073409, 0.3585435156904471, -0.28895804526594776, -0.224610372572594, 0.12099493030351975, -0.26846977631309227, -0.11675260655950599, 0.13314298975941105, -0.02396441522675256, 0.015849876777338068, 0.05098297778507307, 0.09071335618015534, -0.005230902468611021, -0.24551400346293425, 0.3263721915318456, -0.015019036053369442, 0.24636570948253697, 0.04079943132577076, 0.13938841669005342, 0.015811732242582366, 0.015541594109284537, 0.051591934085687775, -0.1577674771861742, 0.0531827885521731, 0.1548290982027538, 0.07577968032152664, 0.28938657174391363, -0.3923417090942773, -0.16674559241801035, 0.18583367744577117, 0.14320590154238744, 0.10869775339961052, -0.011744915199718283, -0.26742633496178314, 0.09830186390657521, -0.14070261704425016, -0.13959073513857825, -0.06412789597864806, 0.0634231794004639, 0.09570845616447816, -0.3025518140760444, 0.09820689870897088, 0.07176055442081027, 0.061832336602189265, -0.13493700035420866, -0.08759858232951956, -0.06250390887241035, 0.17416053754277527, 0.015287148199907582, 0.017154957299984137, 0.08831658769243707, -0.09705598433053335, -0.11051995418771791, 0.3690743931219913, -0.09503956006422716, -0.23242458773165708, 0.2060523768789911, -0.1728700519403598, -0.14771154425883046, 0.09149911446002079, 0.20376725857689357, 0.11846362690751751, -0.11061089092496938, 0.09760858107741417, -0.07384821998615128, 0.15984162982203998, 0.043707297455208995, 0.02566949558725658, 0.17466058139022303, 0.19413327189007154, 0.16857370556681417, 0.15517653983746035, -0.04624213671559119, -0.16037036476579183, -0.31475771364057437, -0.10439264294533739, -0.15128863060696554, 0.06750341973383911, -0.13424451448827313, -0.18551131154526956, 0.40626743040047586, 0.11730050319359482, 0.23314575148106087, 0.14551253415023288, 0.21279738327333084, 0.11630861532603376, -0.011456342076902123, 0.06014883744258744, 0.14188549669537073, 0.08358474638468276, 0.0789180090893448, -0.2472223748676091, 0.10737377494418372, 0.08662421537640815] |
711.065 | The role of Surface Plasmon modes in the Casimir Effect | In this paper we study the role of surface plasmon modes in the Casimir
effect. First we write the Casimir energy as a sum over the modes of a real
cavity. We may identify two sorts of modes, two evanescent surface plasmon
modes and propagative modes. As one of the surface plasmon modes becomes
propagative for some choice of parameters we adopt an adiabatic mode definition
where we follow this mode into the propagative sector and count it together
with the surface plasmon contribution, calling this contribution "plasmonic".
The remaining modes are propagative cavity modes, which we call "photonic". The
Casimir energy contains two main contributions, one coming from the plasmonic,
the other from the photonic modes. Surprisingly we find that the plasmonic
contribution to the Casimir energy becomes repulsive for intermediate and large
mirror separations. Alternatively, we discuss the common surface plasmon
defintion, which includes only evanescent waves, where this effect is not
found. We show that, in contrast to an intuitive expectation, for both
definitions the Casimir energy is the sum of two very large contributions which
nearly cancel each other. The contribution of surface plasmons to the Casimir
energy plays a fundamental role not only at short but also at large distances.
| quant-ph | in this paper we study the role of surface plasmon modes in the casimir effect first we write the casimir energy as a sum over the modes of a real cavity we may identify two sorts of modes two evanescent surface plasmon modes and propagative modes as one of the surface plasmon modes becomes propagative for some choice of parameters we adopt an adiabatic mode definition where we follow this mode into the propagative sector and count it together with the surface plasmon contribution calling this contribution plasmonic the remaining modes are propagative cavity modes which we call photonic the casimir energy contains two main contributions one coming from the plasmonic the other from the photonic modes surprisingly we find that the plasmonic contribution to the casimir energy becomes repulsive for intermediate and large mirror separations alternatively we discuss the common surface plasmon defintion which includes only evanescent waves where this effect is not found we show that in contrast to an intuitive expectation for both definitions the casimir energy is the sum of two very large contributions which nearly cancel each other the contribution of surface plasmons to the casimir energy plays a fundamental role not only at short but also at large distances | [['in', 'this', 'paper', 'we', 'study', 'the', 'role', 'of', 'surface', 'plasmon', 'modes', 'in', 'the', 'casimir', 'effect', 'first', 'we', 'write', 'the', 'casimir', 'energy', 'as', 'a', 'sum', 'over', 'the', 'modes', 'of', 'a', 'real', 'cavity', 'we', 'may', 'identify', 'two', 'sorts', 'of', 'modes', 'two', 'evanescent', 'surface', 'plasmon', 'modes', 'and', 'propagative', 'modes', 'as', 'one', 'of', 'the', 'surface', 'plasmon', 'modes', 'becomes', 'propagative', 'for', 'some', 'choice', 'of', 'parameters', 'we', 'adopt', 'an', 'adiabatic', 'mode', 'definition', 'where', 'we', 'follow', 'this', 'mode', 'into', 'the', 'propagative', 'sector', 'and', 'count', 'it', 'together', 'with', 'the', 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711.0651 | NGC 5128 as an isotropic rotator | NGC 5128 is a well-studied elliptical galaxy with an excellent kinematic data
set for planetary nebulae which has been modelled up till now only by solving
the Jeans equation for spherical systems. As a first approximation beyond
spherical symmetry we model the galaxy as an axisymmetric system flattened by
rotation with isotropic velocity distribution. We propose a new version of such
an isotropic rotator having cuspy density profile with NFW-like behavior. The
solutions of the Jeans equations for a single component of such form do not
reproduce the data well: the rotation curve rises too slowly with radius and
the velocity dispersion profile drops too fast. The data are well fitted
however by a system built with two components: a more compact, flattened, less
massive, fast-rotating and cold `bulge' and an extended, almost spherical, more
massive, slow-rotating and hot `halo'. This picture agrees well with the
results of recent N-body simulations of galaxy mergers which tend to produce
oblate rotating spheroids. The total mass of the system is estimated to be (9.1
+/- 3.5) x 10^11 solar masses and the mass-to-light ratio is only 26 +/- 17
solar units.
| astro-ph | ngc 5128 is a wellstudied elliptical galaxy with an excellent kinematic data set for planetary nebulae which has been modelled up till now only by solving the jeans equation for spherical systems as a first approximation beyond spherical symmetry we model the galaxy as an axisymmetric system flattened by rotation with isotropic velocity distribution we propose a new version of such an isotropic rotator having cuspy density profile with nfwlike behavior the solutions of the jeans equations for a single component of such form do not reproduce the data well the rotation curve rises too slowly with radius and the velocity dispersion profile drops too fast the data are well fitted however by a system built with two components a more compact flattened less massive fastrotating and cold bulge and an extended almost spherical more massive slowrotating and hot halo this picture agrees well with the results of recent nbody simulations of galaxy mergers which tend to produce oblate rotating spheroids the total mass of the system is estimated to be 91 35 x 1011 solar masses and the masstolight ratio is only 26 17 solar units | [['ngc', '5128', 'is', 'a', 'wellstudied', 'elliptical', 'galaxy', 'with', 'an', 'excellent', 'kinematic', 'data', 'set', 'for', 'planetary', 'nebulae', 'which', 'has', 'been', 'modelled', 'up', 'till', 'now', 'only', 'by', 'solving', 'the', 'jeans', 'equation', 'for', 'spherical', 'systems', 'as', 'a', 'first', 'approximation', 'beyond', 'spherical', 'symmetry', 'we', 'model', 'the', 'galaxy', 'as', 'an', 'axisymmetric', 'system', 'flattened', 'by', 'rotation', 'with', 'isotropic', 'velocity', 'distribution', 'we', 'propose', 'a', 'new', 'version', 'of', 'such', 'an', 'isotropic', 'rotator', 'having', 'cuspy', 'density', 'profile', 'with', 'nfwlike', 'behavior', 'the', 'solutions', 'of', 'the', 'jeans', 'equations', 'for', 'a', 'single', 'component', 'of', 'such', 'form', 'do', 'not', 'reproduce', 'the', 'data', 'well', 'the', 'rotation', 'curve', 'rises', 'too', 'slowly', 'with', 'radius', 'and', 'the', 'velocity', 'dispersion', 'profile', 'drops', 'too', 'fast', 'the', 'data', 'are', 'well', 'fitted', 'however', 'by', 'a', 'system', 'built', 'with', 'two', 'components', 'a', 'more', 'compact', 'flattened', 'less', 'massive', 'fastrotating', 'and', 'cold', 'bulge', 'and', 'an', 'extended', 'almost', 'spherical', 'more', 'massive', 'slowrotating', 'and', 'hot', 'halo', 'this', 'picture', 'agrees', 'well', 'with', 'the', 'results', 'of', 'recent', 'nbody', 'simulations', 'of', 'galaxy', 'mergers', 'which', 'tend', 'to', 'produce', 'oblate', 'rotating', 'spheroids', 'the', 'total', 'mass', 'of', 'the', 'system', 'is', 'estimated', 'to', 'be', '91', '35', 'x', '1011', 'solar', 'masses', 'and', 'the', 'masstolight', 'ratio', 'is', 'only', '26', '17', 'solar', 'units']] | [-0.08288280478676154, 0.09253254128815507, -0.0942784275779909, 0.08673041896212268, -0.09444488865886143, -0.09845342800857868, -0.048526115187588224, 0.38384150519449123, -0.1540276221432947, -0.37377783171035706, 0.0718859261708623, -0.27767525175038504, -0.03070433780584107, 0.21154575139460935, -0.01959877471498059, 0.04045293647870621, 0.05065552392640813, -0.03901227052139248, -0.08028109583201853, -0.23947279712927333, 0.2909400210850299, 0.06020209204933462, 0.17064495595859333, -0.10889036853904811, 0.07554161674305697, -0.07260520859213078, 0.001844106489832309, 0.005744538113056498, -0.13255408108060093, 0.03443395679089475, 0.16671992243855274, 0.09623884297235007, 0.20732764624318178, -0.3841374643361146, -0.19934668114040305, 0.06376673197274141, 0.24878080566986438, 0.07644737990856927, -0.09328914372786447, -0.24966713320712913, 0.06057910344508641, -0.23578844595461446, -0.2671551583060885, 0.009207506880430594, 0.0807842935988291, 0.03391578015161648, -0.2313195271766122, 0.18455082649006482, 0.04834938204018051, 0.06787510331779878, -0.10553668353913283, -0.09753322830476006, -0.06733662840028737, 0.03503273982606968, 0.035427567315285395, 0.07855008452393633, 0.20037559301400668, -0.10949060333429532, 0.020919096501753293, 0.4499322933787331, -0.07531141697050615, -0.11435415785022598, 0.2025940269630223, -0.172793137905671, -0.11205171578299793, 0.13815870739078837, 0.16111507378817402, 0.10881250453515247, -0.15876219468938316, 0.009248349729385028, -0.07955081128878867, 0.23076116255818205, 0.047435987534071196, -0.05426655221522853, 0.32480860825249536, 0.13170026960897255, 0.03984627099099966, 0.056706579664179226, -0.15595745382940068, -0.0793242392797561, -0.205560949626055, -0.0849137655137179, -0.1328818633048023, 0.07571564430134672, -0.14670932108377926, -0.16589564440602605, 0.2966072390361485, 0.022501414689751476, 0.2490158345510456, 0.08391314548086051, 0.3317282053960716, 0.10633597234558168, 0.1168080954364237, 0.1644995357376837, 0.285021092065356, 0.2096205565687468, 0.08037968756342158, -0.20127761171244204, 0.013293944959737918, -0.031701732484155636] |
711.0652 | Energy distribution in nonaxisymmetric magnetic Taylor-Couette flow | Azimuthal magnetorotational instability is a mechanism that generates
nonaxisymmetric field pattern. Nonlinear simulations in an infinite
Taylor-Couette system with current-free external field show, that not only the
linearly unstable mode m=1 appears, but also an inverse cascade transporting
energy into the axisymmetric field is possible. By varying the Reynolds number
of the flow and the Hartmann number for the magnetic field, we find that the
ratio between axisymmetric (m=0) and dominating nonaxisymmetric mode (m=1) can
be nearly free chosen. On the surface of the outer cylinder this mode
distribution appears similarly, but with weaker axisymmetric fields. We do not
find significant differences in the case that a constant current within the
flow is added.
| astro-ph | azimuthal magnetorotational instability is a mechanism that generates nonaxisymmetric field pattern nonlinear simulations in an infinite taylorcouette system with currentfree external field show that not only the linearly unstable mode m1 appears but also an inverse cascade transporting energy into the axisymmetric field is possible by varying the reynolds number of the flow and the hartmann number for the magnetic field we find that the ratio between axisymmetric m0 and dominating nonaxisymmetric mode m1 can be nearly free chosen on the surface of the outer cylinder this mode distribution appears similarly but with weaker axisymmetric fields we do not find significant differences in the case that a constant current within the flow is added | [['azimuthal', 'magnetorotational', 'instability', 'is', 'a', 'mechanism', 'that', 'generates', 'nonaxisymmetric', 'field', 'pattern', 'nonlinear', 'simulations', 'in', 'an', 'infinite', 'taylorcouette', 'system', 'with', 'currentfree', 'external', 'field', 'show', 'that', 'not', 'only', 'the', 'linearly', 'unstable', 'mode', 'm1', 'appears', 'but', 'also', 'an', 'inverse', 'cascade', 'transporting', 'energy', 'into', 'the', 'axisymmetric', 'field', 'is', 'possible', 'by', 'varying', 'the', 'reynolds', 'number', 'of', 'the', 'flow', 'and', 'the', 'hartmann', 'number', 'for', 'the', 'magnetic', 'field', 'we', 'find', 'that', 'the', 'ratio', 'between', 'axisymmetric', 'm0', 'and', 'dominating', 'nonaxisymmetric', 'mode', 'm1', 'can', 'be', 'nearly', 'free', 'chosen', 'on', 'the', 'surface', 'of', 'the', 'outer', 'cylinder', 'this', 'mode', 'distribution', 'appears', 'similarly', 'but', 'with', 'weaker', 'axisymmetric', 'fields', 'we', 'do', 'not', 'find', 'significant', 'differences', 'in', 'the', 'case', 'that', 'a', 'constant', 'current', 'within', 'the', 'flow', 'is', 'added']] | [-0.23717072349156074, 0.23380817973954612, -0.053222105352273376, 0.054356298462504095, -0.07208168310145929, -0.09911024685654986, -0.06967545816217337, 0.34197813560042467, -0.256219723890944, -0.29409956692293154, 0.06374457313295193, -0.20485138121926993, -0.08734037070698514, 0.19873515122034996, 0.003913486882913531, 0.00011160684210297309, 0.03200182716541907, 0.042468912419536264, 0.02114924664656109, -0.16432913994057136, 0.32476829457211126, 0.05728915035969725, 0.2953371362139781, -0.0340733350859138, 0.03385220697505007, -0.054926705469066896, 0.031162779574004703, 0.08622713252215793, -0.16830908550126192, -0.020032721167234212, 0.1674057479759907, 0.032300433693371974, 0.2529479551472162, -0.45642291416267033, -0.20802840266147987, 0.08649130427000816, 0.213514597151069, 0.13229396930291204, -0.07359413715439905, -0.15556085398502387, 0.10462607989871972, -0.15887852494396562, -0.14955746163940875, -0.046773390649672876, 0.07037783592833173, 0.014965153707746873, -0.3212178493809086, 0.09532565911675256, 0.11780273115871016, 0.07311951787325374, -0.10681329296673076, -0.06940436930898086, -0.11431894537976436, 0.060821294695702625, 0.14150729286892896, 0.08480041092179977, 0.17060471627158685, -0.16480221159617303, -0.020054115987333813, 0.33279391936140884, -0.09909624949285532, -0.222738902999513, 0.16594815106752017, -0.20072991788599706, -0.011581672686397246, 0.19106045470311583, 0.16656383859675802, 0.1203800221586502, -0.03605862591709746, 0.05887925780374197, -0.10121246495512887, 0.21810056324925667, 0.0765540479016572, -0.0706045433078288, 0.24205627338143818, 0.09622603528642733, 0.10420604017685707, 0.14833953943442585, -0.1337953329458016, -0.08993512880018291, -0.3101943246795583, -0.08572964276301495, -0.13724843022671912, 0.04774992754136564, -0.07806348178934984, -0.20774324584686965, 0.3645534402927743, 0.09278583032356803, 0.16210043897623555, -0.013953010363733037, 0.31981731692263693, 0.13133120983675645, 0.08741304111103282, 0.1700945926029562, 0.3324176597556001, 0.17584569662147642, 0.09930178709328175, -0.28149265383386557, -0.013163308588493811, 0.00730890513953279] |
711.0653 | Destroying superfluidity by rotating a Fermi gas at unitarity | We study the effect of the rotation on a harmonically trapped Fermi gas at
zero temperature under the assumption that vortices are not formed. We show
that at unitarity the rotation produces a phase separation between a non
rotating superfluid (S) core and a rigidly rotating normal (N) gas. The
interface between the two phases is characterized by a density discontinuity
$n_{\rm N}/n_{\rm S}= 0.85$, independent of the angular velocity. The depletion
of the superfluid and the angular momentum of the rotating configuration are
calculated as a function of the angular velocity. The conditions of stability
are also discussed and the critical angular velocity for the onset of a
spontaneous quadrupole deformation of the interface is evaluated.
| cond-mat.soft cond-mat.supr-con | we study the effect of the rotation on a harmonically trapped fermi gas at zero temperature under the assumption that vortices are not formed we show that at unitarity the rotation produces a phase separation between a non rotating superfluid s core and a rigidly rotating normal n gas the interface between the two phases is characterized by a density discontinuity n_rm nn_rm s 085 independent of the angular velocity the depletion of the superfluid and the angular momentum of the rotating configuration are calculated as a function of the angular velocity the conditions of stability are also discussed and the critical angular velocity for the onset of a spontaneous quadrupole deformation of the interface is evaluated | [['we', 'study', 'the', 'effect', 'of', 'the', 'rotation', 'on', 'a', 'harmonically', 'trapped', 'fermi', 'gas', 'at', 'zero', 'temperature', 'under', 'the', 'assumption', 'that', 'vortices', 'are', 'not', 'formed', 'we', 'show', 'that', 'at', 'unitarity', 'the', 'rotation', 'produces', 'a', 'phase', 'separation', 'between', 'a', 'non', 'rotating', 'superfluid', 's', 'core', 'and', 'a', 'rigidly', 'rotating', 'normal', 'n', 'gas', 'the', 'interface', 'between', 'the', 'two', 'phases', 'is', 'characterized', 'by', 'a', 'density', 'discontinuity', 'n_rm', 'nn_rm', 's', '085', 'independent', 'of', 'the', 'angular', 'velocity', 'the', 'depletion', 'of', 'the', 'superfluid', 'and', 'the', 'angular', 'momentum', 'of', 'the', 'rotating', 'configuration', 'are', 'calculated', 'as', 'a', 'function', 'of', 'the', 'angular', 'velocity', 'the', 'conditions', 'of', 'stability', 'are', 'also', 'discussed', 'and', 'the', 'critical', 'angular', 'velocity', 'for', 'the', 'onset', 'of', 'a', 'spontaneous', 'quadrupole', 'deformation', 'of', 'the', 'interface', 'is', 'evaluated']] | [-0.21863497991182515, 0.24334810888116112, -0.08627408964193276, 0.021536661313974068, 0.005446209661805859, -0.09421761366976504, 0.025006504418949287, 0.3208920203276679, -0.21997949697921038, -0.25904097666756976, 0.04179927055190644, -0.2656103810773064, -0.02314763089729489, 0.157690374706036, 0.045636673377325326, 0.010052746874240473, -0.013717647287676223, 0.03244226333151898, -0.1546293702414339, -0.15405606188807383, 0.3475141255185008, 0.029562927836763203, 0.28236863291702974, 0.04488160987096067, 0.09122333857907444, -0.0562422294408465, 0.03118856382978141, 0.05225268560740301, -0.16790513049188752, 0.01847060847804587, 0.15033162507013634, 0.01234200171986744, 0.20396133216543713, -0.38579487405781054, -0.17219641038145012, 0.055595908576670364, 0.13816772705803698, 0.10702807732069722, -0.060164553414021306, -0.26092559564858675, -0.0001918891062721228, -0.15494689159493288, -0.21638619223545885, -0.03760281697106667, 0.08081515726004528, 0.0621491902304861, -0.2494556444744842, 0.15655203792241673, 0.08606799024865668, 0.0906521741591362, -0.09445910459448002, -0.07992533686706144, -0.12457509021648866, 0.042740887253839746, 0.05300252007431964, 0.0669286895929398, 0.17644449738605528, -0.12358233428154236, 0.031229451055933014, 0.37278643931047273, -0.09220783052663518, -0.18837802428911385, 0.17212750916329458, -0.21899841926630256, -0.056148876662915334, 0.1641611742397022, 0.12934872748839676, 0.09793397726522934, -0.0797691467560382, 0.025206053301664148, -0.05523449506184771, 0.16293439239414775, 0.10955744247453716, 0.002616178944834277, 0.33111849731296045, 0.14510306450896537, 0.03238020192545194, 0.13383178141477525, -0.21040478190128556, -0.07820227962687738, -0.3220377021875137, -0.15034656350811323, -0.20692915579256338, -0.0039083410160661814, -0.08060394182891295, -0.14423838752902982, 0.3516842073474366, 0.06918216336610067, 0.24459431221127573, -0.0020201719804685842, 0.30013566206281, 0.11500623943901056, 0.039178649011330724, 0.11236984964905895, 0.2738328308830213, 0.18585973030401984, 0.10148531465958326, -0.34349346631723976, 0.031098965937510516, 0.05452854385297013] |
711.0654 | Point-form quantum field theory and meson form factors | We shortly review point-form quantum field theory, i.e. the canonical
quantization of a relativistic field theory on a Lorentz-invariant surface of
the form $x_\mu x^\mu = \tau^2$. As an example of how point-form quantum field
theory may enter the framework of relativistic quantum mechanics we discuss the
calculation of the electromagnetic form factor of a confined quark-antiquark
pair (e.g. the pion).
| nucl-th | we shortly review pointform quantum field theory ie the canonical quantization of a relativistic field theory on a lorentzinvariant surface of the form x_mu xmu tau2 as an example of how pointform quantum field theory may enter the framework of relativistic quantum mechanics we discuss the calculation of the electromagnetic form factor of a confined quarkantiquark pair eg the pion | [['we', 'shortly', 'review', 'pointform', 'quantum', 'field', 'theory', 'ie', 'the', 'canonical', 'quantization', 'of', 'a', 'relativistic', 'field', 'theory', 'on', 'a', 'lorentzinvariant', 'surface', 'of', 'the', 'form', 'x_mu', 'xmu', 'tau2', 'as', 'an', 'example', 'of', 'how', 'pointform', 'quantum', 'field', 'theory', 'may', 'enter', 'the', 'framework', 'of', 'relativistic', 'quantum', 'mechanics', 'we', 'discuss', 'the', 'calculation', 'of', 'the', 'electromagnetic', 'form', 'factor', 'of', 'a', 'confined', 'quarkantiquark', 'pair', 'eg', 'the', 'pion']] | [-0.1564180144807324, 0.24520029235694285, -0.14589690536571046, 0.11323240426524232, -0.0330637977963003, -0.12931801535499593, -0.010229236067971215, 0.2750083414216836, -0.20842295723656815, -0.2033979675422112, -0.06753660435788333, -0.24947143617706993, -0.16447912566363812, 0.13921472231547039, 0.013807579023220266, 0.03075073209280769, 0.0028567239874973892, 0.1444775326177478, -0.13222847799770535, -0.15209414813822755, 0.3519245445340251, 0.056929612037492916, 0.22749953124051292, 0.060237864529093105, 0.11620012174050014, 0.09609604494956632, -0.0005101271516953905, 0.004973617584134142, -0.12794508500955998, 0.09941463023424149, 0.16294544969374936, 0.11210597694929068, 0.2448115151996414, -0.47592436424456536, -0.19890207432520887, 0.011069072410464287, 0.11869299918253091, 0.16269692540712033, -0.04877587297038796, -0.3012512357284625, 0.0005224826161186987, -0.24900265609224637, -0.1951459546883901, -0.07893931788858026, -0.02237869506740632, -0.07666323793431123, -0.20322133743514617, 0.05477243894711137, 0.031086292420513927, 0.03661289835969607, -0.045341316641618806, -0.06489320108667015, 0.07292694998905062, 0.040918443670185906, 0.02584913172759116, 0.12105176490731537, 0.22385544980255265, -0.22002949472225736, -0.14227069213908786, 0.4670584393044313, -0.06156630182328324, -0.1970339298869173, 0.06223173919133842, -0.15571188653508822, -0.12003340094039837, 0.07393992297972242, 0.1773028024743932, 0.12758307628828333, -0.15068379626609385, 0.1987034761502097, -0.038662214390933515, 0.08921579112211475, 0.060696099201838175, 0.08274046067769329, 0.26013090410269796, 0.09059679502000412, -0.08686912026411543, 0.08187910298195979, -0.05825871689788376, -0.218967425217852, -0.471187690179795, -0.22223133131240805, -0.13828883050009608, 0.17943471553735435, -0.07001481751770673, -0.22136179475734633, 0.3558780228641505, 0.09721558945602737, 0.1290526497953882, -0.034474893007427454, 0.25915377428755165, 0.1754096248478163, 0.01150352672363321, 0.061014923825860025, 0.24057644394536812, 0.2657372148241848, 0.05422755732045819, -0.25068556098267436, -0.1338878002949059, 0.13826234412069122] |
711.0655 | Casimir interaction between absorbing and meta Materials | We investigate the Casimir energy between two dissipative mirrors in term of
a sum over mode formula which can be interpreted by analogy to a quantum
dissipative oscillator. We also show that metamaterials engineered at scales
between the nanometer and the micron seem a promising way to achieve a
repulsive force.
| quant-ph | we investigate the casimir energy between two dissipative mirrors in term of a sum over mode formula which can be interpreted by analogy to a quantum dissipative oscillator we also show that metamaterials engineered at scales between the nanometer and the micron seem a promising way to achieve a repulsive force | [['we', 'investigate', 'the', 'casimir', 'energy', 'between', 'two', 'dissipative', 'mirrors', 'in', 'term', 'of', 'a', 'sum', 'over', 'mode', 'formula', 'which', 'can', 'be', 'interpreted', 'by', 'analogy', 'to', 'a', 'quantum', 'dissipative', 'oscillator', 'we', 'also', 'show', 'that', 'metamaterials', 'engineered', 'at', 'scales', 'between', 'the', 'nanometer', 'and', 'the', 'micron', 'seem', 'a', 'promising', 'way', 'to', 'achieve', 'a', 'repulsive', 'force']] | [-0.1609359223066884, 0.1898878998323983, -0.11867821512415129, 0.04855654908768723, -0.04495983306026342, -0.1816234495216871, 0.003747649066259756, 0.40753882802000235, -0.2913295908593664, -0.30186277364983277, -0.019779998683553263, -0.2512730849066786, -0.18669179229832747, 0.23887614350692898, -0.00808679640256599, 0.0075770435197388426, 0.014069787349880618, -0.02334358460068995, -0.02951551529615387, -0.14907806423291856, 0.28069862226645154, 0.032858684611068494, 0.25140213833062675, 0.11452892386153632, 0.1373810086253227, -0.07973315317055904, 0.06601882203682966, 0.03996100539670271, -0.13591916815850852, 0.11013861449764055, 0.24410135868717642, -0.09922585818989604, 0.26846029857794446, -0.42436905035420375, -0.2181440807477224, 0.12211532784881544, 0.15868672865497715, 0.13604977260133727, 0.0068226244994530495, -0.26424893050217163, 0.037693572166722776, -0.19946458316682017, -0.12615415179079362, -0.09247502012580049, -0.011975580789879257, 0.012061756195537015, -0.23653516345018266, 0.07435291285533001, 0.06993027371080483, 0.027510084577050863, -0.07206001376970579, -0.017966033927365847, 0.022522390975306433, 0.07281524258866615, -0.003920209320152507, 0.005542445626548108, 0.1460049948837681, -0.12104790319469483, -0.14432236145013103, 0.40549766286915423, -0.13359006234974252, -0.19524521519448243, 0.20945246227304726, -0.10721170968905676, 0.010759792108015687, 0.07747556908311796, 0.1704376682219114, 0.07409740068639319, -0.1436932798949819, 0.03280362249329211, 0.01874680904781117, 0.19892460255947547, 0.14250355401971176, 0.09040727500128103, 0.2911803702659467, 0.1372207134012498, 0.08430263891304825, 0.18692408098300517, -0.051755270582861175, -0.09298906068993258, -0.33965156139696345, -0.167349381527553, -0.2303590400745937, 0.09901943580046588, -0.0837412355008293, -0.13622360526784963, 0.3311875177109066, 0.13660193684364796, 0.19289580446795798, 0.0452668195905383, 0.29466252284599287, 0.1190328308764626, 0.15962709721141294, 0.00517176538157989, 0.324090588897211, 0.12901786309849544, 0.08724798224455513, -0.2682415134474343, -0.0737820302830169, 0.0524984045301144] |
711.0656 | Recent lattice results on finite temperature and density QCD, part I | We discuss recent progress made studies of bulk thermodynamics of strongly
interacting matter through lattice simulations of QCD with an almost physical
light and strange quark mass spectrum. We present results on the QCD equation
of state at vanishing and non-vanishing quark chemical potential and show first
results on baryon number and strangeness fluctuations, which might be measured
in event-by-event fluctuations in low energy runs at RHIC as well as at FAIR.
| hep-lat hep-ph | we discuss recent progress made studies of bulk thermodynamics of strongly interacting matter through lattice simulations of qcd with an almost physical light and strange quark mass spectrum we present results on the qcd equation of state at vanishing and nonvanishing quark chemical potential and show first results on baryon number and strangeness fluctuations which might be measured in eventbyevent fluctuations in low energy runs at rhic as well as at fair | [['we', 'discuss', 'recent', 'progress', 'made', 'studies', 'of', 'bulk', 'thermodynamics', 'of', 'strongly', 'interacting', 'matter', 'through', 'lattice', 'simulations', 'of', 'qcd', 'with', 'an', 'almost', 'physical', 'light', 'and', 'strange', 'quark', 'mass', 'spectrum', 'we', 'present', 'results', 'on', 'the', 'qcd', 'equation', 'of', 'state', 'at', 'vanishing', 'and', 'nonvanishing', 'quark', 'chemical', 'potential', 'and', 'show', 'first', 'results', 'on', 'baryon', 'number', 'and', 'strangeness', 'fluctuations', 'which', 'might', 'be', 'measured', 'in', 'eventbyevent', 'fluctuations', 'in', 'low', 'energy', 'runs', 'at', 'rhic', 'as', 'well', 'as', 'at', 'fair']] | [-0.1039006935316138, 0.2664000774402666, -0.1415514837588287, 0.046027276328661375, -0.0035298942724087587, -0.05491768888249579, 0.043260950721257053, 0.32393012206173605, -0.16862994083203375, -0.2842390701148866, 0.018233770986423932, -0.34865319753427887, 0.009938354244998967, 0.1391817766125314, 0.057690451180355415, 0.09783066815644917, 0.06454532733025392, 0.038517397382141404, -0.06799664950813167, -0.2608267067440061, 0.32644087394065635, 0.08211603401125306, 0.2286187488094179, 0.22352195694111288, 0.07357861314732064, -0.01228640435793851, -0.05122725857007834, 0.01194997919729859, -0.1519642093270603, -0.01823748774930007, 0.20204174506781986, 0.011561531470053725, 0.13874654782315096, -0.4319140849984251, -0.22069952773421797, 0.11680285772308707, 0.1303898475210493, 0.14761980899654897, -0.10941968085050273, -0.23228876944631338, 0.08545387293755387, -0.2093393531265772, -0.20688371282691756, -0.1558427721999275, -0.02269168680585507, 0.0257657202374604, -0.24820147986368588, 0.13281830449381637, -0.08082635034710013, 0.048127357511677675, -0.03651269059628248, -0.22422576653641751, -0.07430565826426674, 0.019573862704823516, 0.08671455333630244, 0.08733491798435959, 0.16355553993101543, -0.21238226571585983, -0.1380830976154862, 0.41078104906611973, -0.09415678383730766, -0.11475429223759824, 0.1742796336960358, -0.2078088075763339, -0.18361291638575494, 0.06714260430049358, 0.20973172093120715, 0.06790840612181152, -0.13602543615787807, 0.04048515011971984, -0.034937627678219646, 0.16607021346701206, 0.051251846249215305, 0.0891395762252311, 0.30457530089188367, 0.21576536499034976, -0.01767935626493353, 0.055605032781992726, -0.002654402510314766, -0.1229735504085612, -0.36886427243654096, -0.07944032829254866, -0.19910490119622815, 0.0843416675278503, -0.09611671527818544, -0.10377821817787157, 0.3603981733710195, 0.11736637216138963, 0.22897127971777487, -0.009403155691365505, 0.31305182569970685, 0.07020280339121301, -0.00902281487489947, 0.09264062927751285, 0.27507273314727676, 0.1907341755512688, 0.21244680713991532, -0.29969058740082094, -0.030517825748473924, 0.05918917467352003] |
711.0657 | The most massive stars in the Arches cluster | We study a sample composed of 28 of the brightest stars in the Arches
cluster. We analyze K-band spectra obtained with the integral field
spectrograph SINFONI on the VLT. Atmosphere models computed with the code
CMFGEN are used to derive the effective temperatures, luminosities, stellar
abundances, mass loss rates and wind terminal velocities. We find that the
stars in our sample are either H-rich WN7-9 stars (WN7-9h) or O supergiants,
two being classified as OIf+. All stars are 2-4 Myr old. There is marginal
evidence for a younger age among the most massive stars. The WN7-9h stars reach
luminosities as large as 2 x 1e6 Lsun, consistent with initial masses of ~ 120
Msun. They are still quite H-rich, but show both N enhancement and C depletion.
They are thus identified as core H-burning objects showing products of the CNO
equilibrium at their surface. Their progenitors are most likely supergiants of
spectral types earlier than O4-6 and initial masses > 60 Msun. Their winds
follow a well defined modified wind momentum - luminosity relation (WLR): this
is a strong indication that they are radiatively driven. Stellar abundances
tend to favor a slightly super solar metallicity, at least for the lightest
metals. We note however that the evolutionary models seem to under-predict the
degree of N enrichment.
| astro-ph | we study a sample composed of 28 of the brightest stars in the arches cluster we analyze kband spectra obtained with the integral field spectrograph sinfoni on the vlt atmosphere models computed with the code cmfgen are used to derive the effective temperatures luminosities stellar abundances mass loss rates and wind terminal velocities we find that the stars in our sample are either hrich wn79 stars wn79h or o supergiants two being classified as oif all stars are 24 myr old there is marginal evidence for a younger age among the most massive stars the wn79h stars reach luminosities as large as 2 x 1e6 lsun consistent with initial masses of 120 msun they are still quite hrich but show both n enhancement and c depletion they are thus identified as core hburning objects showing products of the cno equilibrium at their surface their progenitors are most likely supergiants of spectral types earlier than o46 and initial masses 60 msun their winds follow a well defined modified wind momentum luminosity relation wlr this is a strong indication that they are radiatively driven stellar abundances tend to favor a slightly super solar metallicity at least for the lightest metals we note however that the evolutionary models seem to underpredict the degree of n enrichment | [['we', 'study', 'a', 'sample', 'composed', 'of', '28', 'of', 'the', 'brightest', 'stars', 'in', 'the', 'arches', 'cluster', 'we', 'analyze', 'kband', 'spectra', 'obtained', 'with', 'the', 'integral', 'field', 'spectrograph', 'sinfoni', 'on', 'the', 'vlt', 'atmosphere', 'models', 'computed', 'with', 'the', 'code', 'cmfgen', 'are', 'used', 'to', 'derive', 'the', 'effective', 'temperatures', 'luminosities', 'stellar', 'abundances', 'mass', 'loss', 'rates', 'and', 'wind', 'terminal', 'velocities', 'we', 'find', 'that', 'the', 'stars', 'in', 'our', 'sample', 'are', 'either', 'hrich', 'wn79', 'stars', 'wn79h', 'or', 'o', 'supergiants', 'two', 'being', 'classified', 'as', 'oif', 'all', 'stars', 'are', 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'super', 'solar', 'metallicity', 'at', 'least', 'for', 'the', 'lightest', 'metals', 'we', 'note', 'however', 'that', 'the', 'evolutionary', 'models', 'seem', 'to', 'underpredict', 'the', 'degree', 'of', 'n', 'enrichment']] | [-0.05547887531949993, 0.20038914649363307, -0.02877919677141789, 0.16611670589756433, -0.08220819235333546, -0.09834322318218437, 0.06602203318081196, 0.460087525182717, -0.11932237693704488, -0.3843109660221361, 0.04842047842210644, -0.3072642793716704, 0.04046425754447154, 0.1849251677595538, -0.06581774241869201, -0.07079901108220307, 0.13164377908588726, -0.044451844568697566, -0.06022924961995607, -0.30569713360020867, 0.30102398923611473, 0.021390676936487805, 0.11273091199109331, -0.06807508366623831, 0.008794987682359055, -0.1989427980993349, -0.045324272183994915, -0.04672844080205883, -0.13630847741627786, 0.023593915506405095, 0.24416683704120695, 0.1372915046770673, 0.201369332855841, -0.33143895150511804, -0.1743161501744994, 0.06675347230304474, 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711.0658 | Resonant particle production in branonium | We study the mechanism of particle production in the world-volume of a probe
anti D6-brane (or D6 with SUSY breaking) moving in the background created by a
fixed stack of $D6$-branes. We show that this may occur in a regime of
parametric resonance when the probe's motion is non-relativistic and it moves
at large distances from the source branes in low eccentricity orbits. This
leads to an exponential growth of the particle number in the probe's
world-volume and constitutes an effective mechanism for producing very massive
particles. We also analyze the evolution of this system in an expanding
universe and how this affects the development of the parametric resonance. We
discuss the effects of transverse space compactification on the probe's motion,
showing that it leads to the creation of angular momentum in a similar way to
the Affleck-Dine mechanism for baryogenesis. Finally, we describe possible
final states of the system and their potential relevance to cosmology.
| hep-th astro-ph hep-ph | we study the mechanism of particle production in the worldvolume of a probe anti d6brane or d6 with susy breaking moving in the background created by a fixed stack of d6branes we show that this may occur in a regime of parametric resonance when the probes motion is nonrelativistic and it moves at large distances from the source branes in low eccentricity orbits this leads to an exponential growth of the particle number in the probes worldvolume and constitutes an effective mechanism for producing very massive particles we also analyze the evolution of this system in an expanding universe and how this affects the development of the parametric resonance we discuss the effects of transverse space compactification on the probes motion showing that it leads to the creation of angular momentum in a similar way to the affleckdine mechanism for baryogenesis finally we describe possible final states of the system and their potential relevance to cosmology | [['we', 'study', 'the', 'mechanism', 'of', 'particle', 'production', 'in', 'the', 'worldvolume', 'of', 'a', 'probe', 'anti', 'd6brane', 'or', 'd6', 'with', 'susy', 'breaking', 'moving', 'in', 'the', 'background', 'created', 'by', 'a', 'fixed', 'stack', 'of', 'd6branes', 'we', 'show', 'that', 'this', 'may', 'occur', 'in', 'a', 'regime', 'of', 'parametric', 'resonance', 'when', 'the', 'probes', 'motion', 'is', 'nonrelativistic', 'and', 'it', 'moves', 'at', 'large', 'distances', 'from', 'the', 'source', 'branes', 'in', 'low', 'eccentricity', 'orbits', 'this', 'leads', 'to', 'an', 'exponential', 'growth', 'of', 'the', 'particle', 'number', 'in', 'the', 'probes', 'worldvolume', 'and', 'constitutes', 'an', 'effective', 'mechanism', 'for', 'producing', 'very', 'massive', 'particles', 'we', 'also', 'analyze', 'the', 'evolution', 'of', 'this', 'system', 'in', 'an', 'expanding', 'universe', 'and', 'how', 'this', 'affects', 'the', 'development', 'of', 'the', 'parametric', 'resonance', 'we', 'discuss', 'the', 'effects', 'of', 'transverse', 'space', 'compactification', 'on', 'the', 'probes', 'motion', 'showing', 'that', 'it', 'leads', 'to', 'the', 'creation', 'of', 'angular', 'momentum', 'in', 'a', 'similar', 'way', 'to', 'the', 'affleckdine', 'mechanism', 'for', 'baryogenesis', 'finally', 'we', 'describe', 'possible', 'final', 'states', 'of', 'the', 'system', 'and', 'their', 'potential', 'relevance', 'to', 'cosmology']] | [-0.1507958046694955, 0.18863125504783687, -0.1024445061936067, 0.0945028095447924, -0.05768376417780438, -0.08602657651480956, 0.014888460899946483, 0.3228504402318205, -0.23496006789784402, -0.2873627166547335, 0.050024944743386306, -0.2511748909496535, -0.08845038080546193, 0.15527651610617071, -0.03422928172557686, -0.009526297760506472, 0.026879710402005375, 0.018753831188988466, -0.008964730997178823, -0.21951607377745974, 0.34236809056108963, 0.08976870738208675, 0.25005630161971426, 0.062377710277453445, 0.10545589756936981, 0.0005494767519382712, -0.0017191446143745754, -0.018345757369855, -0.13079859419378456, 0.09102914743058275, 0.1650330803166024, 0.09986213077223884, 0.17791970005820099, -0.4200459096986705, -0.17956029586658145, 0.11628226926311469, 0.20502071047965914, 0.19847820173377748, -0.08251454685411702, -0.2675437686535028, 0.044480760604178965, -0.1727936321859045, -0.19053038821006432, -0.05443484995451469, 0.03558312234683679, -0.03929444279287381, -0.259558891501421, 0.0669897671356851, 0.049262787361677066, 0.0017743957130453335, -0.0628841697695092, -0.019757942001048762, -0.0495547625528744, 0.0690209192221235, 0.11168270993183772, 0.02903133729705587, 0.17058809199788344, -0.19798410000751177, -0.11381735814771113, 0.3918227472526129, -0.08793198774779179, -0.1931764897860539, 0.20351394366186398, -0.17988724994341818, -0.12435396835028839, 0.10812873983881079, 0.18923665759034636, 0.1444786763869417, -0.12663470323614326, 0.1135470074579457, 0.028869925186229058, 0.11967709629262129, 0.07894617769208988, 0.06428369247348598, 0.29675939018861985, 0.19713625767811513, 0.059085777548786536, 0.14689544725637788, -0.10399278465217485, -0.08959635691635179, -0.3631220685455423, -0.1465745479441606, -0.11153434373539849, 0.07023448126318936, -0.09504112918997028, -0.15854575004106244, 0.39616716922057843, 0.15036178010483034, 0.24180283912051564, -0.022045608896475572, 0.25971053726523396, 0.07722463897871187, 0.050684746604066536, 0.043287611359912076, 0.2882196654876073, 0.09272334202586745, 0.10822491789570986, -0.267540638455942, -0.03332156344101979, 0.04386680505763835] |
711.0659 | Confinement, Screening and the Center on S^3 x S^1 | We compute the one-loop effective potential for the Polyakov loop on $S^3
times S^1$ for an asymptotically free gauge theory of arbitrary group $G$ and a
generic matter content. We apply this result to study the phase structures of
$G_2$, SO(N) and $Sp(2N)$ gauge theories which turn out to be in qualitative
agreement with the results of lattice calculations. On $S^3 \times S^1$, at
zero temperature, the Polyakov loop is zero for kinematical reasons. For small
but non-zero temperature, the Polyakov loop is still zero if the gauge theory
has an unbroken center, while it acquires a small vacuum expectation value for
gauge theories whose center is trivial or explicitly broken by the presence of
dynamical matter fields. At high temperatures, the saddle point structure of
the effective potential is different from the low temperature case suggesting
that the theory is in the deconfined phase. At finite $N$, the Polyakov loop is
non-zero in the high temperature phase only in theories with no unbroken center
symmetry, consistent with screening of the external charge introduced by the
Polyakov loop and Gauss law on a compact space.
| hep-th hep-lat | we compute the oneloop effective potential for the polyakov loop on s3 times s1 for an asymptotically free gauge theory of arbitrary group g and a generic matter content we apply this result to study the phase structures of g_2 son and sp2n gauge theories which turn out to be in qualitative agreement with the results of lattice calculations on s3 times s1 at zero temperature the polyakov loop is zero for kinematical reasons for small but nonzero temperature the polyakov loop is still zero if the gauge theory has an unbroken center while it acquires a small vacuum expectation value for gauge theories whose center is trivial or explicitly broken by the presence of dynamical matter fields at high temperatures the saddle point structure of the effective potential is different from the low temperature case suggesting that the theory is in the deconfined phase at finite n the polyakov loop is nonzero in the high temperature phase only in theories with no unbroken center symmetry consistent with screening of the external charge introduced by the polyakov loop and gauss law on a compact space | [['we', 'compute', 'the', 'oneloop', 'effective', 'potential', 'for', 'the', 'polyakov', 'loop', 'on', 's3', 'times', 's1', 'for', 'an', 'asymptotically', 'free', 'gauge', 'theory', 'of', 'arbitrary', 'group', 'g', 'and', 'a', 'generic', 'matter', 'content', 'we', 'apply', 'this', 'result', 'to', 'study', 'the', 'phase', 'structures', 'of', 'g_2', 'son', 'and', 'sp2n', 'gauge', 'theories', 'which', 'turn', 'out', 'to', 'be', 'in', 'qualitative', 'agreement', 'with', 'the', 'results', 'of', 'lattice', 'calculations', 'on', 's3', 'times', 's1', 'at', 'zero', 'temperature', 'the', 'polyakov', 'loop', 'is', 'zero', 'for', 'kinematical', 'reasons', 'for', 'small', 'but', 'nonzero', 'temperature', 'the', 'polyakov', 'loop', 'is', 'still', 'zero', 'if', 'the', 'gauge', 'theory', 'has', 'an', 'unbroken', 'center', 'while', 'it', 'acquires', 'a', 'small', 'vacuum', 'expectation', 'value', 'for', 'gauge', 'theories', 'whose', 'center', 'is', 'trivial', 'or', 'explicitly', 'broken', 'by', 'the', 'presence', 'of', 'dynamical', 'matter', 'fields', 'at', 'high', 'temperatures', 'the', 'saddle', 'point', 'structure', 'of', 'the', 'effective', 'potential', 'is', 'different', 'from', 'the', 'low', 'temperature', 'case', 'suggesting', 'that', 'the', 'theory', 'is', 'in', 'the', 'deconfined', 'phase', 'at', 'finite', 'n', 'the', 'polyakov', 'loop', 'is', 'nonzero', 'in', 'the', 'high', 'temperature', 'phase', 'only', 'in', 'theories', 'with', 'no', 'unbroken', 'center', 'symmetry', 'consistent', 'with', 'screening', 'of', 'the', 'external', 'charge', 'introduced', 'by', 'the', 'polyakov', 'loop', 'and', 'gauss', 'law', 'on', 'a', 'compact', 'space']] | [-0.1673658810014761, 0.25369119777964, -0.09025115435691299, 0.06939800143103443, -0.03778938782099332, -0.14843229090203405, 0.0353302443588807, 0.3727534362291162, -0.1521477082851217, -0.25277052189701715, 0.07949232660183633, -0.2735917955095804, -0.09311711466745348, 0.09065846033123749, -0.01173455508778224, -0.011246015468763339, -0.049841172170095344, 0.1380022248740912, -0.12032127712249152, -0.23756785798389968, 0.3201441150171229, 0.03067155161092209, 0.28388109671304357, 0.1124554387495123, 0.10927425910076882, -0.03020907021693986, 0.04166712912453993, 0.025972204967370457, -0.08256677209066914, 0.02895649661517677, 0.19705348595272046, -0.029022271737355637, 0.15156593592963308, -0.3809722624467434, -0.23708594562737523, 0.12007192278633247, 0.13495558787426734, 0.1088357628203576, -0.03521966107277753, -0.27916963738137607, 0.10453869616109375, -0.16925540236328301, -0.20371067769120674, -0.08296516403253819, 0.027900270576513297, -0.1298960169793006, -0.23246844020149846, 0.08826911410889463, -0.03396166254454796, 0.09074465428644986, -0.0501931111391231, -0.09818039882575741, -0.08019738736235209, 0.09962501839130512, 0.09903953819711869, 0.11678737952543826, 0.14681036280329665, -0.17714360180512273, -0.07729371311174504, 0.4018227958447627, -0.09731399318694162, -0.1518242576587442, 0.14392147019027254, -0.17696466954626344, -0.15623563125075118, 0.15515790422119805, 0.07293014908712861, 0.11385138958320494, -0.09041827708463863, 0.20737112331679217, -0.017406794277800095, 0.13449954022606206, 0.05014469724249195, -0.006508131537663536, 0.28269535534687945, 0.0648358555019808, 0.08741300112341305, 0.10075344110625116, -0.0028151766862720253, -0.15805450553779263, -0.38950342914542635, -0.10983191903230634, -0.14450117984937655, 0.07029965963982347, -0.1696591275364217, -0.18196764402091503, 0.36676008559864115, 0.12384362939392796, 0.1993835845911825, 0.049069048744324294, 0.2705469947874647, 0.1460347130353487, 0.08914640467563593, 0.08170290033056124, 0.20498293877982005, 0.1865704647573718, 0.0668840312109505, -0.2883453153765987, -0.0910585081607506, 0.13321421994148075] |
711.066 | On the Distribution of Penalized Maximum Likelihood Estimators: The
LASSO, SCAD, and Thresholding | We study the distributions of the LASSO, SCAD, and thresholding estimators,
in finite samples and in the large-sample limit. The asymptotic distributions
are derived for both the case where the estimators are tuned to perform
consistent model selection and for the case where the estimators are tuned to
perform conservative model selection. Our findings complement those of Knight
and Fu (2000) and Fan and Li (2001). We show that the distributions are
typically highly nonnormal regardless of how the estimator is tuned, and that
this property persists in large samples. The uniform convergence rate of these
estimators is also obtained, and is shown to be slower than 1/root(n) in case
the estimator is tuned to perform consistent model selection. An impossibility
result regarding estimation of the estimators' distribution function is also
provided.
| math.ST stat.ME stat.ML stat.TH | we study the distributions of the lasso scad and thresholding estimators in finite samples and in the largesample limit the asymptotic distributions are derived for both the case where the estimators are tuned to perform consistent model selection and for the case where the estimators are tuned to perform conservative model selection our findings complement those of knight and fu 2000 and fan and li 2001 we show that the distributions are typically highly nonnormal regardless of how the estimator is tuned and that this property persists in large samples the uniform convergence rate of these estimators is also obtained and is shown to be slower than 1rootn in case the estimator is tuned to perform consistent model selection an impossibility result regarding estimation of the estimators distribution function is also provided | [['we', 'study', 'the', 'distributions', 'of', 'the', 'lasso', 'scad', 'and', 'thresholding', 'estimators', 'in', 'finite', 'samples', 'and', 'in', 'the', 'largesample', 'limit', 'the', 'asymptotic', 'distributions', 'are', 'derived', 'for', 'both', 'the', 'case', 'where', 'the', 'estimators', 'are', 'tuned', 'to', 'perform', 'consistent', 'model', 'selection', 'and', 'for', 'the', 'case', 'where', 'the', 'estimators', 'are', 'tuned', 'to', 'perform', 'conservative', 'model', 'selection', 'our', 'findings', 'complement', 'those', 'of', 'knight', 'and', 'fu', '2000', 'and', 'fan', 'and', 'li', '2001', 'we', 'show', 'that', 'the', 'distributions', 'are', 'typically', 'highly', 'nonnormal', 'regardless', 'of', 'how', 'the', 'estimator', 'is', 'tuned', 'and', 'that', 'this', 'property', 'persists', 'in', 'large', 'samples', 'the', 'uniform', 'convergence', 'rate', 'of', 'these', 'estimators', 'is', 'also', 'obtained', 'and', 'is', 'shown', 'to', 'be', 'slower', 'than', '1rootn', 'in', 'case', 'the', 'estimator', 'is', 'tuned', 'to', 'perform', 'consistent', 'model', 'selection', 'an', 'impossibility', 'result', 'regarding', 'estimation', 'of', 'the', 'estimators', 'distribution', 'function', 'is', 'also', 'provided']] | [-0.02711339448383149, 0.05635032500773544, -0.10453490034911696, 0.11685566720997076, -0.03162926708468954, -0.1522500138438328, 0.062410399897152004, 0.42485449437535444, -0.23942622684567938, -0.29821200152851984, 0.13302820264397344, -0.2885876894779219, -0.12360816973595674, 0.20829794711063665, -0.11076865342751373, 0.07194118624026993, 0.04913196892598431, -0.028731103687909723, -0.07007084417206641, -0.2974013404934916, 0.25837002159274036, 0.08528941418648563, 0.32907940885265363, -0.02945760128848994, 0.05272414033187425, 0.0023047613754925383, -0.03925291067415863, 0.03612717322095205, -0.15721289818195133, 0.07016902061300138, 0.2150777823910231, 0.09632704998828641, 0.2857264504867485, -0.29797923490973827, -0.1844094942256325, 0.1191242893958706, 0.1566455663601292, 0.0762228177618662, -0.00024777788754182917, -0.2447606136130155, 0.12238494514572995, -0.1488406608947144, -0.09368387075098417, -0.10094469337802352, -0.0458530462880171, 0.05528148196731829, -0.38247916525414655, 0.10990873944567062, 0.09418175946778924, 0.03571439216994034, -0.06824574296056997, -0.15239352854110927, -0.02172007352888641, 0.0761945964768529, 0.09645266196324369, -0.009298457957818421, 0.11727005279558989, -0.12166154006929741, -0.07643500373979589, 0.32397672471426825, -0.06936537374030063, -0.2187916349534315, 0.19129202595744407, -0.1850809454989001, -0.10368870959425246, 0.07887186398658588, 0.15523450581342665, 0.14401391510787698, -0.13502345352170578, 0.0691120054622586, -0.05355181019284002, 0.11169078773001337, -0.0036831560423810973, 0.0019088266133010841, 0.1063338483449157, 0.13917403332960174, 0.09426800403317423, 0.13893395343009837, -0.1056521411857191, -0.07269852456658055, -0.3138444364596983, -0.07986641225213086, -0.21600146084767943, -0.026288733732324977, -0.13069209639953436, -0.17461648723532674, 0.35753963940656025, 0.1840982417671991, 0.23232821559974257, 0.09444553189633684, 0.24128476520360426, 0.15573988697679983, 0.014482864854103735, 0.10702871565728356, 0.26356491211531613, 0.15879142484343292, 0.009122459345873985, -0.19587106147126956, 0.13551673296668376, 0.014711037772273972] |
711.0661 | Recent lattice results on finite temerature and density QCD, part II | We discuss recent progress in studies of QCD thermodynamics with almost
physical light quark masses and a physical value of the strange quark mass. We
summarize results on the transition temperature in QCD and analyze the relation
between deconfinement and chiral symmetry restoration.
| hep-lat hep-ph | we discuss recent progress in studies of qcd thermodynamics with almost physical light quark masses and a physical value of the strange quark mass we summarize results on the transition temperature in qcd and analyze the relation between deconfinement and chiral symmetry restoration | [['we', 'discuss', 'recent', 'progress', 'in', 'studies', 'of', 'qcd', 'thermodynamics', 'with', 'almost', 'physical', 'light', 'quark', 'masses', 'and', 'a', 'physical', 'value', 'of', 'the', 'strange', 'quark', 'mass', 'we', 'summarize', 'results', 'on', 'the', 'transition', 'temperature', 'in', 'qcd', 'and', 'analyze', 'the', 'relation', 'between', 'deconfinement', 'and', 'chiral', 'symmetry', 'restoration']] | [-0.08718008468967191, 0.2808306308701461, -0.1265874430970397, 0.05460248891870643, -0.060885267765369525, -0.019247113412982502, 0.1339444650207148, 0.39254345277021097, -0.09769049438994465, -0.251739040277032, 0.05922524405231829, -0.3080419383206686, -0.05825856371327888, 0.06010939721234663, 0.022394097193555777, 0.13330735868319524, -0.04067384671463176, 0.04978685932190612, -0.21317546767031037, -0.20196414086967707, 0.3643277385380379, -0.08495020320595698, 0.25078873275670893, 0.2704085206158113, 0.017722324571074095, -0.05558645505414799, -0.0425073757854312, -0.07911621616492698, -0.17922421880499567, 0.0012666943244809329, 0.1635349960537454, 0.05032039563669715, 0.08838504873389422, -0.3500663657066261, -0.21395448475079828, 0.08117369856403837, 0.06615149506995845, 0.1435437462790761, -0.12925428207584677, -0.27470302352205267, 0.05660813868175759, -0.18116591559441456, -0.2012475485112085, -0.15851839532166026, -0.008839279434881931, -0.05759353264299936, -0.22946634245386652, 0.11586644730075847, -0.03457288225289694, 0.054053818270953936, -0.022475795343864794, -0.1993224799719661, -0.05847057178183351, 0.07554232454750427, 0.14798241728093736, 0.08099504019848483, 0.1609533185079737, -0.2571359105234922, -0.15233999795042152, 0.4765298426324545, -0.036139671235930086, -0.06681261703826834, 0.17392125728994953, -0.21321051754057407, -0.20696989947193584, 0.00931287260162969, 0.21606093322381723, 0.06523985251091248, -0.17152057514460975, 0.06610426016092344, -0.05109132596746434, 0.17720423712189373, 0.06923053002114905, 0.08060562301990251, 0.3406967207529517, 0.27183441232976524, -0.07896257424727082, 0.0629244550120432, 0.0003331406096126451, -0.18311338915034783, -0.37081072197923826, -0.09213821981968574, -0.13336291943871698, 0.06589502975517927, -0.1464850188785931, -0.06957091702971348, 0.394148658874423, 0.23056241746472064, 0.2664262441441763, -0.0022489530315925907, 0.3184843618790944, 0.07744532674117836, 0.014965600334107876, 0.07760245138562696, 0.32228955264788034, 0.274553726622185, 0.2262144078024078, -0.3514319437361041, -0.08844044537900753, 0.14332800193928008] |
711.0662 | Superconductors as ideal spin sources for spintronics | Spin-polarized transport is investigated in normal metal-superconductor (NS)
junctions as a function of interface transmissivity as well as temperature when
the density of states of a superconductor is Zeeman-split in response to an
exchange field (h_exc). Similarly to the "absolute spin-valve effect" predicted
by D. Huertas-Hernando et al. [Phys. Rev. Lett. 88, 047003 (2002)] in
superconducting proximity structures, we show that NS junctions can be used to
generate highly spin-polarized currents, in alternative to half-metallic
ferromagnets. In particular, the spin-polarized current obtained is largely
tunable in magnitude and sign by acting on bias voltage and h_exc. While for
tunnel contacts the current polarization can be as high as 100%, for
transparent junctions it is dominated by the minority spin species. The effect
can be enhanced by electron "cooling" provided by the superconducting gap.
| cond-mat.mes-hall cond-mat.supr-con | spinpolarized transport is investigated in normal metalsuperconductor ns junctions as a function of interface transmissivity as well as temperature when the density of states of a superconductor is zeemansplit in response to an exchange field h_exc similarly to the absolute spinvalve effect predicted by d huertashernando et al phys rev lett 88 047003 2002 in superconducting proximity structures we show that ns junctions can be used to generate highly spinpolarized currents in alternative to halfmetallic ferromagnets in particular the spinpolarized current obtained is largely tunable in magnitude and sign by acting on bias voltage and h_exc while for tunnel contacts the current polarization can be as high as 100 for transparent junctions it is dominated by the minority spin species the effect can be enhanced by electron cooling provided by the superconducting gap | [['spinpolarized', 'transport', 'is', 'investigated', 'in', 'normal', 'metalsuperconductor', 'ns', 'junctions', 'as', 'a', 'function', 'of', 'interface', 'transmissivity', 'as', 'well', 'as', 'temperature', 'when', 'the', 'density', 'of', 'states', 'of', 'a', 'superconductor', 'is', 'zeemansplit', 'in', 'response', 'to', 'an', 'exchange', 'field', 'h_exc', 'similarly', 'to', 'the', 'absolute', 'spinvalve', 'effect', 'predicted', 'by', 'd', 'huertashernando', 'et', 'al', 'phys', 'rev', 'lett', '88', '047003', '2002', 'in', 'superconducting', 'proximity', 'structures', 'we', 'show', 'that', 'ns', 'junctions', 'can', 'be', 'used', 'to', 'generate', 'highly', 'spinpolarized', 'currents', 'in', 'alternative', 'to', 'halfmetallic', 'ferromagnets', 'in', 'particular', 'the', 'spinpolarized', 'current', 'obtained', 'is', 'largely', 'tunable', 'in', 'magnitude', 'and', 'sign', 'by', 'acting', 'on', 'bias', 'voltage', 'and', 'h_exc', 'while', 'for', 'tunnel', 'contacts', 'the', 'current', 'polarization', 'can', 'be', 'as', 'high', 'as', '100', 'for', 'transparent', 'junctions', 'it', 'is', 'dominated', 'by', 'the', 'minority', 'spin', 'species', 'the', 'effect', 'can', 'be', 'enhanced', 'by', 'electron', 'cooling', 'provided', 'by', 'the', 'superconducting', 'gap']] | [-0.15778272832528903, 0.19750468641924762, 0.0035417620289640932, 0.006232178730603594, -0.04724979937219849, -0.1521401942707598, 0.08758763697249099, 0.4020028007646593, -0.22061954271227407, -0.3649929259187327, -0.04026003216500752, -0.2852841762109445, -0.08111404832452536, 0.23995044603227422, -0.020024709174266228, -0.015232275573250192, -0.05478339654823335, -0.0874585927822269, -0.06903605657235648, -0.20811057201801583, 0.2371276283188938, 0.046116914637745, 0.3399091965626352, 0.10442919394431206, 0.01659848497320826, -0.005373750637786893, 0.14316828893855787, 0.07536719732273084, -0.10590640325306315, -0.028457542133177274, 0.2787265008458724, -0.11952253402067492, 0.1569572130504709, -0.49799401396169113, -0.20527423511330897, 0.007989870592092092, 0.13604580139598021, 0.14462327123440516, -0.03305235670324272, -0.3234971796950469, 0.06874470786334803, -0.19699522640842657, -0.09162839883222029, -0.08680534661980346, 0.06266217525923051, 0.021489599883520547, -0.27808531399171516, 0.13792106377211613, 0.0396679823868908, 0.03187381502312536, 0.013792918656522837, -0.10960900990578991, -0.09089583288340901, -0.0023865363171073394, -0.01933316817292227, 0.09567104406439914, 0.18285652277700137, -0.1275088378689431, -0.12978999255081783, 0.2675911335274577, -0.1177182511247408, -0.11997541199223354, 0.15289162658513167, -0.15256054824433074, 0.013260759663983034, 0.1008403786891834, 0.09062573501970082, 0.12188070200813504, -0.19182724476525506, 0.0696233227983332, -0.013906872036974305, 0.12310624981943805, 0.08060344372732708, 0.038150450958010666, 0.2607190035140285, 0.19445511739557753, 0.053871205209109645, 0.10567966817537895, -0.13484454586958655, -0.013977213066951103, -0.2146075516563052, -0.1880642996671108, -0.24690009161579207, 0.126716147771535, 0.02572091437244895, -0.1545513182412833, 0.40041443368849844, 0.1647794704458927, 0.1988666211290715, -0.09846988431392954, 0.2702253233247365, 0.16221675805013197, 0.07064530648864233, 0.07373181127298337, 0.25676476184207087, 0.20234594397031916, 0.0921531515249696, -0.2851664209021972, 0.1253878836806577, -0.04315395277674095] |
711.0663 | Averaging out magnetic forces with fast rf-sweeps in an optical trap for
metastable chromium atoms | We introduce a novel type of time-averaged trap, in which the internal state
of the atoms is rapidly modulated to modify magnetic trapping potentials. In
our experiment, fast radiofrequency (rf) linear sweeps flip the spin of atoms
at a fast rate, which averages out magnetic forces. We use this procedure to
optimize the accumulation of metastable chomium atoms into an optical dipole
trap from a magneto-optical trap. The potential experienced by the metastable
atoms is identical to the bare optical dipole potential, so that this procedure
allows for trapping all magnetic sublevels, hence increasing by up to 80
percent the final number of accumulated atoms.
| quant-ph | we introduce a novel type of timeaveraged trap in which the internal state of the atoms is rapidly modulated to modify magnetic trapping potentials in our experiment fast radiofrequency rf linear sweeps flip the spin of atoms at a fast rate which averages out magnetic forces we use this procedure to optimize the accumulation of metastable chomium atoms into an optical dipole trap from a magnetooptical trap the potential experienced by the metastable atoms is identical to the bare optical dipole potential so that this procedure allows for trapping all magnetic sublevels hence increasing by up to 80 percent the final number of accumulated atoms | [['we', 'introduce', 'a', 'novel', 'type', 'of', 'timeaveraged', 'trap', 'in', 'which', 'the', 'internal', 'state', 'of', 'the', 'atoms', 'is', 'rapidly', 'modulated', 'to', 'modify', 'magnetic', 'trapping', 'potentials', 'in', 'our', 'experiment', 'fast', 'radiofrequency', 'rf', 'linear', 'sweeps', 'flip', 'the', 'spin', 'of', 'atoms', 'at', 'a', 'fast', 'rate', 'which', 'averages', 'out', 'magnetic', 'forces', 'we', 'use', 'this', 'procedure', 'to', 'optimize', 'the', 'accumulation', 'of', 'metastable', 'chomium', 'atoms', 'into', 'an', 'optical', 'dipole', 'trap', 'from', 'a', 'magnetooptical', 'trap', 'the', 'potential', 'experienced', 'by', 'the', 'metastable', 'atoms', 'is', 'identical', 'to', 'the', 'bare', 'optical', 'dipole', 'potential', 'so', 'that', 'this', 'procedure', 'allows', 'for', 'trapping', 'all', 'magnetic', 'sublevels', 'hence', 'increasing', 'by', 'up', 'to', '80', 'percent', 'the', 'final', 'number', 'of', 'accumulated', 'atoms']] | [-0.09548417991027236, 0.2605509407463754, 0.009685035915866207, -0.009368335971465478, 0.011632304947572546, -0.14851728481992793, 0.12000552357550567, 0.4103179693651887, -0.2554040906073239, -0.2960839535002239, -0.04082664922820046, -0.2532927889642451, -0.04236883252787475, 0.16143008484505117, 0.026828950450110894, 0.024788105627521873, 0.04087692255584093, 0.007880865417134304, -0.04556606606414649, -0.23123277299992667, 0.23571145761973009, 0.08705658963523231, 0.2745636908982236, 0.04732958435152586, 0.10880258275966088, 0.008414831669562353, 0.09962461764315286, -0.035930882539385214, -0.08721639567242025, 0.10975776574923657, 0.15653790982805033, 0.024063631551913343, 0.27681049975441196, -0.5151508936239855, -0.16016946634212778, 0.12495395436865063, 0.17034432903612748, 0.23796044785726386, -0.07981162176180917, -0.2801917495403009, -0.028705418571077574, -0.16206336323207673, -0.17291404492481469, -0.12472289984221928, 0.056135438105019815, 0.08211742737330496, -0.3037276583446118, 0.0398074611215494, 0.055756116402335465, 0.07510735816322267, -0.12238066781327898, -0.054054529121808276, 0.0171510318647891, 0.04558607319799753, -0.00455078735607318, 0.06381796159817335, 0.2295997246938686, -0.07500185139136963, -0.05826328872129894, 0.3277718147728592, -0.1043204450711178, -0.10556198001051179, 0.15868356521689117, -0.17584680944072226, -0.025774164772323836, 0.2125133704752303, 0.180788210243918, 0.09933356035393305, -0.1553123504944289, 0.025543123788128678, 0.03164521733728739, 0.16082754997142518, 0.11524292360095736, 0.027918779228527386, 0.2633784634213393, 0.12641198723576963, 0.09006845065428373, 0.196279333156641, -0.15359677236007813, -0.06318789907695296, -0.23264757748872328, -0.12924446446301702, -0.21187153184683455, 0.06246876173939269, -0.027781625730522837, -0.15414491756270693, 0.41004377322343105, 0.1290693929947268, 0.18319668516946527, -0.07025975001698288, 0.3350720272327845, 0.10748460351225311, 0.11428676445323688, 0.00600769289303571, 0.2984093962004408, 0.16354579240746367, 0.1132226958244036, -0.33103553379232137, -0.022391712664662358, 0.028156383559689857] |
711.0664 | Optimality of minimum-error discrimination by the no-signalling
condition | In this work we relate the well-known no-go theorem that two non-orthogonal
(mixed) quantum states cannot be perfectly discriminated, to the general
principle in physics, the no-signalling condition. In fact, we derive the
minimum error in discrimination between two quantum states, using the
no-signalling condition.
| quant-ph | in this work we relate the wellknown nogo theorem that two nonorthogonal mixed quantum states cannot be perfectly discriminated to the general principle in physics the nosignalling condition in fact we derive the minimum error in discrimination between two quantum states using the nosignalling condition | [['in', 'this', 'work', 'we', 'relate', 'the', 'wellknown', 'nogo', 'theorem', 'that', 'two', 'nonorthogonal', 'mixed', 'quantum', 'states', 'can', 'not', 'be', 'perfectly', 'discriminated', 'to', 'the', 'general', 'principle', 'in', 'physics', 'the', 'nosignalling', 'condition', 'in', 'fact', 'we', 'derive', 'the', 'minimum', 'error', 'in', 'discrimination', 'between', 'two', 'quantum', 'states', 'using', 'the', 'nosignalling', 'condition']] | [-0.12135508820495527, 0.18597212340682745, -0.15470797479476617, 0.15324783000244718, -0.027176382667992428, -0.25355784258926695, 0.05882105675687933, 0.27872249173790054, -0.3028445830821748, -0.29787282167893386, 0.03458143267578081, -0.1908310507626637, -0.1415830879755642, 0.15216875425033757, -0.15468676760792732, 0.07156195434863152, 0.08674751406373538, -0.0047947257433248605, -0.07360115336031532, -0.22958948791189038, 0.33372044279847457, -0.016011471723449296, 0.3526631322405908, 0.11134848763923282, 0.02373475228112353, 0.06683152686278133, 0.08454042382578811, 0.011405842021897273, -0.14431910473507267, 0.08636296085719748, 0.304535437430984, 0.18060580790852723, 0.23763200494906175, -0.4475145785178503, -0.1998121686603712, 0.17441603474561934, 0.05984439020571501, 0.2029898030197491, -0.0022496070874773936, -0.2989760014107046, 0.07674526568988095, -0.15434174895104344, -0.11944953698421949, -0.020276317150210558, -0.1234454175700312, -0.11822433534847654, -0.2566995965823045, 0.14987938256893793, 0.11680921701633412, 0.024287286255022755, -0.030556645163375397, -0.03590143546613905, 0.04466336172924418, 0.10981483377374547, -0.03052974010453276, -0.0652499686896234, 0.04160721334831222, -0.07099447180719479, -0.22959061521712854, 0.30758132461620413, -0.0602967301586076, -0.28931790371627913, 0.17089733467234866, -0.14974153124848785, -0.16224634533990984, -0.01172256417086591, 0.06567817132758058, 0.0903549546416363, -0.17760161533141913, 0.058082906023153795, -0.10737820795696715, 0.12773903237362189, 0.12340207636842261, 0.13852129381215808, 0.1810735342619212, 0.00032853223788349527, 0.09395657910752798, 0.16788317208714865, -0.040395770348487015, -0.18051671062636634, -0.397492622275857, -0.17293412514719303, -0.26942178497657826, 0.09686591041447726, -0.04544853666068419, -0.10842839332864336, 0.3403344273253385, 0.1441469712830756, 0.10685092571150998, 0.03431677575344625, 0.24488649023291859, 0.12349187260817575, 0.015222202581555946, 0.08511796982392021, 0.34666078035598213, 0.20241690313686495, -0.003431784576209991, -0.21704760926735142, 0.05838355592087559, 0.07572149837632543] |
711.0665 | A class of self-similar stochastic processes with stationary increments
to model anomalous diffusion in physics | In this paper we present a general mathematical construction that allows us
to define a parametric class of $H$-sssi stochastic processes (self-similar
with stationary increments), which have marginal probability density function
that evolves in time according to a partial integro-differential equation of
fractional type. This construction is based on the theory of finite measures on
functional spaces. Since the variance evolves in time as a power function,
these $H$-sssi processes naturally provide models for slow and fast anomalous
diffusion. Such a class includes, as particular cases, fractional Brownian
motion, grey Brownian motion and Brownian motion.
| math.PR math-ph math.MP | in this paper we present a general mathematical construction that allows us to define a parametric class of hsssi stochastic processes selfsimilar with stationary increments which have marginal probability density function that evolves in time according to a partial integrodifferential equation of fractional type this construction is based on the theory of finite measures on functional spaces since the variance evolves in time as a power function these hsssi processes naturally provide models for slow and fast anomalous diffusion such a class includes as particular cases fractional brownian motion grey brownian motion and brownian motion | [['in', 'this', 'paper', 'we', 'present', 'a', 'general', 'mathematical', 'construction', 'that', 'allows', 'us', 'to', 'define', 'a', 'parametric', 'class', 'of', 'hsssi', 'stochastic', 'processes', 'selfsimilar', 'with', 'stationary', 'increments', 'which', 'have', 'marginal', 'probability', 'density', 'function', 'that', 'evolves', 'in', 'time', 'according', 'to', 'a', 'partial', 'integrodifferential', 'equation', 'of', 'fractional', 'type', 'this', 'construction', 'is', 'based', 'on', 'the', 'theory', 'of', 'finite', 'measures', 'on', 'functional', 'spaces', 'since', 'the', 'variance', 'evolves', 'in', 'time', 'as', 'a', 'power', 'function', 'these', 'hsssi', 'processes', 'naturally', 'provide', 'models', 'for', 'slow', 'and', 'fast', 'anomalous', 'diffusion', 'such', 'a', 'class', 'includes', 'as', 'particular', 'cases', 'fractional', 'brownian', 'motion', 'grey', 'brownian', 'motion', 'and', 'brownian', 'motion']] | [-0.05914192405578337, 0.12644281909850083, -0.12312930194955123, 0.07250210884100708, -0.11104024880026517, -0.09502772836406764, 0.022663974130869305, 0.34788880005331807, -0.3086567812207106, -0.23323732988026583, 0.08597296493397535, -0.22804237568619246, -0.18002345120338234, 0.17876322254734603, -0.10248702536091993, 0.0831508273945043, 0.004256709851324559, 0.0019725950217291126, -0.019606280667511255, -0.1666160022104649, 0.30370997207876493, -0.013714217031864744, 0.2405789169139768, -0.06534619591640015, 0.18813761174678803, 0.005408927239477635, -0.06976326262749928, 0.03313359024964723, -0.1793639648272227, 0.09002518505593271, 0.2041121123277806, 0.04407347802464899, 0.3229685269296169, -0.4095220402863465, -0.24956662136705984, 0.11953639985111199, 0.12653209437389465, 0.08090680416452846, -0.03285384492605532, -0.281371930123944, 0.0052104491348329346, -0.16497746964818552, -0.17392825492118535, -0.07868990192778016, 0.10167493101601538, 0.09532403192041736, -0.30423157788617045, 0.156731426323715, 0.10437771533860972, -0.02028972310210137, -0.05888355437139245, -0.07144778600134151, 0.01097788500942682, 0.06415487436675711, 0.037630088115110996, -0.0014404115977844126, 0.1372208691447189, -0.08719064160985382, -0.16812852920082055, 0.3397475150260633, -0.1223160489315265, -0.3042240424767921, 0.18986361417184142, -0.18255410324782134, -0.17645185602534758, 0.14914452278692472, 0.22935408279299735, 0.14740460785105824, -0.2000109717838074, 0.11962497077857781, -0.02369311488797202, 0.11158352280525785, 0.03454892960205478, 0.029777186509148266, 0.14347257482770243, 0.17115167321294153, 0.12164943208060178, 0.13969378089042087, -0.0641986888833344, -0.20256593717249893, -0.3457384704073009, -0.19130140185834055, -0.13923092388400907, 0.11864379314999832, -0.11292761834215764, -0.25657680132671407, 0.36560960265954856, 0.12931241180355613, 0.18119725899672823, 0.13657543804423, 0.20760238263020783, 0.2389088825739332, -0.03858960580668951, 0.05119414804013152, 0.09317115962407306, 0.13849573662308487, 0.11610708654318985, -0.16745922084603654, 0.07668660200249992, 0.11790947865351642] |
711.0666 | Discriminative Phoneme Sequences Extraction for Non-Native Speaker's
Origin Classification | In this paper we present an automated method for the classification of the
origin of non-native speakers. The origin of non-native speakers could be
identified by a human listener based on the detection of typical pronunciations
for each nationality. Thus we suppose the existence of several phoneme
sequences that might allow the classification of the origin of non-native
speakers. Our new method is based on the extraction of discriminative sequences
of phonemes from a non-native English speech database. These sequences are used
to construct a probabilistic classifier for the speakers' origin. The existence
of discriminative phone sequences in non-native speech is a significant result
of this work. The system that we have developed achieved a significant correct
classification rate of 96.3% and a significant error reduction compared to some
other tested techniques.
| cs.CL | in this paper we present an automated method for the classification of the origin of nonnative speakers the origin of nonnative speakers could be identified by a human listener based on the detection of typical pronunciations for each nationality thus we suppose the existence of several phoneme sequences that might allow the classification of the origin of nonnative speakers our new method is based on the extraction of discriminative sequences of phonemes from a nonnative english speech database these sequences are used to construct a probabilistic classifier for the speakers origin the existence of discriminative phone sequences in nonnative speech is a significant result of this work the system that we have developed achieved a significant correct classification rate of 963 and a significant error reduction compared to some other tested techniques | [['in', 'this', 'paper', 'we', 'present', 'an', 'automated', 'method', 'for', 'the', 'classification', 'of', 'the', 'origin', 'of', 'nonnative', 'speakers', 'the', 'origin', 'of', 'nonnative', 'speakers', 'could', 'be', 'identified', 'by', 'a', 'human', 'listener', 'based', 'on', 'the', 'detection', 'of', 'typical', 'pronunciations', 'for', 'each', 'nationality', 'thus', 'we', 'suppose', 'the', 'existence', 'of', 'several', 'phoneme', 'sequences', 'that', 'might', 'allow', 'the', 'classification', 'of', 'the', 'origin', 'of', 'nonnative', 'speakers', 'our', 'new', 'method', 'is', 'based', 'on', 'the', 'extraction', 'of', 'discriminative', 'sequences', 'of', 'phonemes', 'from', 'a', 'nonnative', 'english', 'speech', 'database', 'these', 'sequences', 'are', 'used', 'to', 'construct', 'a', 'probabilistic', 'classifier', 'for', 'the', 'speakers', 'origin', 'the', 'existence', 'of', 'discriminative', 'phone', 'sequences', 'in', 'nonnative', 'speech', 'is', 'a', 'significant', 'result', 'of', 'this', 'work', 'the', 'system', 'that', 'we', 'have', 'developed', 'achieved', 'a', 'significant', 'correct', 'classification', 'rate', 'of', '963', 'and', 'a', 'significant', 'error', 'reduction', 'compared', 'to', 'some', 'other', 'tested', 'techniques']] | [-0.07715260740334282, 0.008602397937162701, -0.08502049310746687, 0.09804924706236995, -0.07821392469023439, -0.14308796927445766, 0.07099205694270716, 0.389298868591361, -0.24072234831383507, -0.28135033567333734, 0.0559991950003402, -0.284221678224364, -0.18063042784871702, 0.2298530558997079, -0.14393031842315174, 0.011749755069049019, 0.13233407264906968, 0.09622684863014994, -0.0251789972341309, -0.28266565846349817, 0.2922250602295566, 0.0305511553729461, 0.29972548120316456, 0.014819036125007904, 0.1096032284743463, -0.06969345349881967, -0.05007935152389109, -0.08553564314956241, -0.04586230187068753, 0.20652693988416682, 0.3093376780267466, 0.19894330453296954, 0.3206186218709318, -0.3592233494220471, -0.17822053536744506, 0.12381176804333474, 0.13552736706509622, 0.1638475009804648, -0.07329341687022173, -0.39376060083282716, 0.1520878761181269, -0.16593929811797076, 0.008579416637957998, -0.06893114233389497, 0.004918119524408019, 0.011110194764720896, -0.20527581311762333, 0.0802578518597522, 0.15603929247431966, 0.157274283687443, -0.08937656742901626, -0.1391865024757642, 0.026320947791012288, 0.23002501776808817, 0.09547083940935519, 0.047134608337232334, 0.11468863546862408, -0.13776548196575744, -0.1627392309905686, 0.36500394770480465, -0.08356896842914549, -0.2184325999749655, 0.22907396204501504, -0.04856230617169234, -0.16020419759760526, 0.1243104970251972, 0.23196602989496154, 0.10543117407624694, -0.20620000345463102, -0.05292658320545205, -0.05348529397848655, 0.2611788767848559, 0.09533394274529366, -0.027820378090396072, 0.2179090229822605, 0.22540130110979645, -0.04382743429441965, 0.13433538421690394, -0.12633464567250374, 0.025999668993542648, -0.25090066565705155, -0.12843699543736875, -0.1653008214092221, -0.010287283235370662, -0.07865501124626573, -0.16972054179517948, 0.44291563327847555, 0.21041252860573656, 0.147720433131326, 0.10012271633428155, 0.253785837667458, 0.012241328210097201, 0.08345953808483583, 0.010990727620523874, 0.1717574863214395, -0.011786802641863964, 0.0709202865660755, -0.1926214636389914, 0.14299282356814452, 0.07610142975516448] |
711.0667 | Comment on "Turnaround in Cyclic Cosmology" | We comment on a recent paper by L. Baum and P. H. Frampton [Phys. Rev. Lett.
98, 071301 (2007)] where it was argued that the entropy problem can be resolved
in a peculiar cyclic universe model through a deflation mechanism (i.e., the
universe is fragmented into many disconnected causal patches at the
turnaround). We point out that in this cyclic model the Hubble length will
become infinity at the turnaround, thus the deflation scenario is not valid.
| hep-th | we comment on a recent paper by l baum and p h frampton phys rev lett 98 071301 2007 where it was argued that the entropy problem can be resolved in a peculiar cyclic universe model through a deflation mechanism ie the universe is fragmented into many disconnected causal patches at the turnaround we point out that in this cyclic model the hubble length will become infinity at the turnaround thus the deflation scenario is not valid | [['we', 'comment', 'on', 'a', 'recent', 'paper', 'by', 'l', 'baum', 'and', 'p', 'h', 'frampton', 'phys', 'rev', 'lett', '98', '071301', '2007', 'where', 'it', 'was', 'argued', 'that', 'the', 'entropy', 'problem', 'can', 'be', 'resolved', 'in', 'a', 'peculiar', 'cyclic', 'universe', 'model', 'through', 'a', 'deflation', 'mechanism', 'ie', 'the', 'universe', 'is', 'fragmented', 'into', 'many', 'disconnected', 'causal', 'patches', 'at', 'the', 'turnaround', 'we', 'point', 'out', 'that', 'in', 'this', 'cyclic', 'model', 'the', 'hubble', 'length', 'will', 'become', 'infinity', 'at', 'the', 'turnaround', 'thus', 'the', 'deflation', 'scenario', 'is', 'not', 'valid']] | [-0.1323037286975274, 0.14965888615207454, -0.1371785637518195, 0.00878453307546136, -0.09278817572263315, -0.14562316811766082, 0.07156437171139068, 0.3210089460848586, -0.20549987089562868, -0.24308256823937163, 0.055921590353950466, -0.24644356588587948, -0.1504515821089674, 0.1569348715382052, -0.10470885851904504, -0.03189111481371679, 0.04744538622540667, 0.012553887760364696, -0.028298822972972534, -0.33154598851443123, 0.23663356799730345, 0.1391009148700457, 0.2735369630819677, 0.06531942441544838, 0.060558001294051984, -0.029481700005769534, -0.0568469641362562, 0.0480520293288129, -0.18787204817731676, -0.04155049980526153, 0.21690526390203127, 0.14431326997490893, 0.28796555293650417, -0.3931862037677906, -0.23327688268373573, 0.17504627897257083, 0.1654766967985779, 0.1413067728464835, 0.04193005203974041, -0.30649995648204104, 0.09211970639942017, -0.18955728256964663, -0.11187430052086711, -0.04513679615736596, 0.12423547691248946, -0.12434760872335908, -0.23446461465822435, 0.13806631448862486, 0.05370006008122705, -0.0034237388325364967, 0.00723429672775398, -0.04430990218258414, -0.007936037458038251, -0.025616991499095763, 0.029391087600838785, 0.08371371868997812, 0.088775038155482, -0.007406290589929803, -0.06390438647940755, 0.3420469824249219, -0.020701435207707907, -0.11000026982449192, 0.16550646250221976, -0.12377448146550082, -0.16607467195411263, 0.1121291560243423, 0.11130490686474859, 0.14793164248725302, -0.13048221795868717, 0.1682942995891943, -0.07738183148352332, 0.12121259629930137, 0.13651642029320724, -0.04267910776362489, 0.2674456426971837, 0.12225482743202806, -0.004896234709457004, 0.07868056674334711, -0.07812165074650884, -0.10505472767277081, -0.32865705688508523, -0.14465586667096145, -0.20210958337778911, 0.07868648648563019, -0.056861356678717515, -0.11196610829057663, 0.3530438937933037, 0.1378682373814579, 0.258127252681573, 0.005137570107380222, 0.24339059105535088, 0.024412490672578935, 0.04814773528395515, 0.1673011883210979, 0.23970260448435224, 0.08445440855116192, 0.10702365460977155, -0.2144441559641181, 0.02498733455247834, 0.1096817368555716] |
711.0668 | Differential Equations Driven by Gaussian Signals II | Large classes of multi-dimensional Gaussian processes can be enhanced with
stochastic Levy area(s). In a previous paper, we gave sufficient and
essentially necessary conditions, only involving variational properties of the
covariance. Following T. Lyons, the resulting lift to a "Gaussian rough path"
gives a robust theory of (stochastic) differential equations driven by Gaussian
signals with sample path regularity worse than Brownian motion.
The purpose of this sequel paper is to establish convergence of
Karhunen-Loeve approximations in rough path metrics. Particular care is
necessary since martingale arguments are not enough to deal with third iterated
integrals. An abstract support criterion for approximately continuous Wiener
functionals then gives a description of the support of Gaussian rough paths as
the closure of the (canonically lifted) Cameron-Martin space.
| math.PR | large classes of multidimensional gaussian processes can be enhanced with stochastic levy areas in a previous paper we gave sufficient and essentially necessary conditions only involving variational properties of the covariance following t lyons the resulting lift to a gaussian rough path gives a robust theory of stochastic differential equations driven by gaussian signals with sample path regularity worse than brownian motion the purpose of this sequel paper is to establish convergence of karhunenloeve approximations in rough path metrics particular care is necessary since martingale arguments are not enough to deal with third iterated integrals an abstract support criterion for approximately continuous wiener functionals then gives a description of the support of gaussian rough paths as the closure of the canonically lifted cameronmartin space | [['large', 'classes', 'of', 'multidimensional', 'gaussian', 'processes', 'can', 'be', 'enhanced', 'with', 'stochastic', 'levy', 'areas', 'in', 'a', 'previous', 'paper', 'we', 'gave', 'sufficient', 'and', 'essentially', 'necessary', 'conditions', 'only', 'involving', 'variational', 'properties', 'of', 'the', 'covariance', 'following', 't', 'lyons', 'the', 'resulting', 'lift', 'to', 'a', 'gaussian', 'rough', 'path', 'gives', 'a', 'robust', 'theory', 'of', 'stochastic', 'differential', 'equations', 'driven', 'by', 'gaussian', 'signals', 'with', 'sample', 'path', 'regularity', 'worse', 'than', 'brownian', 'motion', 'the', 'purpose', 'of', 'this', 'sequel', 'paper', 'is', 'to', 'establish', 'convergence', 'of', 'karhunenloeve', 'approximations', 'in', 'rough', 'path', 'metrics', 'particular', 'care', 'is', 'necessary', 'since', 'martingale', 'arguments', 'are', 'not', 'enough', 'to', 'deal', 'with', 'third', 'iterated', 'integrals', 'an', 'abstract', 'support', 'criterion', 'for', 'approximately', 'continuous', 'wiener', 'functionals', 'then', 'gives', 'a', 'description', 'of', 'the', 'support', 'of', 'gaussian', 'rough', 'paths', 'as', 'the', 'closure', 'of', 'the', 'canonically', 'lifted', 'cameronmartin', 'space']] | [-0.08695611378953477, 0.11133133911918718, -0.1266736539283527, 0.10204552384112181, -0.14024912159431785, -0.11218820910172296, 0.023834291046612985, 0.3650339612166487, -0.32348082150377694, -0.22563926172592946, 0.10089254110578387, -0.22007491559000505, -0.15889954609015294, 0.1916482974136729, -0.18047632444499723, 0.09274998313612154, 0.08787501392315232, 0.021180833197919833, -0.0666382675389609, -0.26714368368078384, 0.31524271376421836, 0.030273776050777204, 0.20809218296480755, -0.027560310385700677, 0.1317201596796827, 0.036295764568832614, -0.10296053384738643, 0.016726399655219153, -0.1850660819590332, 0.1394571616734949, 0.2630673783921426, 0.06143168109326413, 0.324184276839538, -0.41945909234785966, -0.2011290327270305, 0.14241070153178542, 0.11223117720604228, 0.04523365898808885, 0.026384134115951675, -0.28347075364041713, 0.06680811922847023, -0.10894813092665807, -0.17960541975128674, -0.105340934607328, 0.008699199179142353, 0.056227338293425536, -0.3400403433554475, 0.08481981011385459, 0.14617037325496635, 0.05100275340373628, -0.052671218836856555, -0.07818719325587153, -0.007300697448250327, 0.02967641817409575, 0.020184391240153702, 0.04364193000853242, 0.08578833867420232, -0.07067761386532502, -0.14249210507654014, 0.3189408646646752, -0.07344473443980302, -0.2789368027776119, 0.1756217901279489, -0.1422964378181214, -0.11684085111389117, 0.17964590269595296, 0.1420678171505701, 0.12437485648514403, -0.24149024362991295, 0.13381751376953382, -0.018396423663944006, 0.08521904212032114, 0.08553861856325379, 0.024451570217347434, 0.09009794562423908, 0.1272201009635483, 0.1769307897381124, 0.14417199484324233, -0.031117681199834952, -0.1637739441019573, -0.366073278448781, -0.1644863629368164, -0.1546406071978591, 0.10110552392108084, -0.12470320075918871, -0.2394029723495365, 0.30414196690394274, 0.12767705410125577, 0.17161697505282297, 0.1256877060100857, 0.24219706833302493, 0.1906976908367435, -0.03445562976412475, 0.05442337220114085, 0.13369178463847586, 0.23044320283224806, 0.08720221786737262, -0.10074130705400039, 0.07957241967350485, 0.13453246903560695] |
711.0669 | Robustness of Binary Black Hole Mergers in the Presence of Spurious
Radiation | We present an investigation into how sensitive the last orbits and merger of
binary black hole systems are to the presence of spurious radiation in the
initial data. Our numerical experiments consist of a binary black hole system
starting the last couple of orbits before merger with additional spurious
radiation centered at the origin and fixed initial angular momentum. As the
energy in the added spurious radiation increases, the binary is invariably
hardened for the cases we tested, i.e. the merger of the two black holes is
hastened. The change in merger time becomes significant when the additional
energy provided by the spurious radiation increases the Arnowitt-Deser-Misner
(ADM) mass of the spacetime by about 1%. While the final masses of the black
holes increase due to partial absorption of the radiation, the final spins
remain constant to within our numerical accuracy. We conjecture that the
spurious radiation is primarily increasing the eccentricity of the orbit and
secondarily increasing the mass of the black holes while propagating out to
infinity.
| gr-qc | we present an investigation into how sensitive the last orbits and merger of binary black hole systems are to the presence of spurious radiation in the initial data our numerical experiments consist of a binary black hole system starting the last couple of orbits before merger with additional spurious radiation centered at the origin and fixed initial angular momentum as the energy in the added spurious radiation increases the binary is invariably hardened for the cases we tested ie the merger of the two black holes is hastened the change in merger time becomes significant when the additional energy provided by the spurious radiation increases the arnowittdesermisner adm mass of the spacetime by about 1 while the final masses of the black holes increase due to partial absorption of the radiation the final spins remain constant to within our numerical accuracy we conjecture that the spurious radiation is primarily increasing the eccentricity of the orbit and secondarily increasing the mass of the black holes while propagating out to infinity | [['we', 'present', 'an', 'investigation', 'into', 'how', 'sensitive', 'the', 'last', 'orbits', 'and', 'merger', 'of', 'binary', 'black', 'hole', 'systems', 'are', 'to', 'the', 'presence', 'of', 'spurious', 'radiation', 'in', 'the', 'initial', 'data', 'our', 'numerical', 'experiments', 'consist', 'of', 'a', 'binary', 'black', 'hole', 'system', 'starting', 'the', 'last', 'couple', 'of', 'orbits', 'before', 'merger', 'with', 'additional', 'spurious', 'radiation', 'centered', 'at', 'the', 'origin', 'and', 'fixed', 'initial', 'angular', 'momentum', 'as', 'the', 'energy', 'in', 'the', 'added', 'spurious', 'radiation', 'increases', 'the', 'binary', 'is', 'invariably', 'hardened', 'for', 'the', 'cases', 'we', 'tested', 'ie', 'the', 'merger', 'of', 'the', 'two', 'black', 'holes', 'is', 'hastened', 'the', 'change', 'in', 'merger', 'time', 'becomes', 'significant', 'when', 'the', 'additional', 'energy', 'provided', 'by', 'the', 'spurious', 'radiation', 'increases', 'the', 'arnowittdesermisner', 'adm', 'mass', 'of', 'the', 'spacetime', 'by', 'about', '1', 'while', 'the', 'final', 'masses', 'of', 'the', 'black', 'holes', 'increase', 'due', 'to', 'partial', 'absorption', 'of', 'the', 'radiation', 'the', 'final', 'spins', 'remain', 'constant', 'to', 'within', 'our', 'numerical', 'accuracy', 'we', 'conjecture', 'that', 'the', 'spurious', 'radiation', 'is', 'primarily', 'increasing', 'the', 'eccentricity', 'of', 'the', 'orbit', 'and', 'secondarily', 'increasing', 'the', 'mass', 'of', 'the', 'black', 'holes', 'while', 'propagating', 'out', 'to', 'infinity']] | [-0.15846272993325836, 0.14299949352051194, -0.04515027000497167, 0.09349591650286436, -0.04386260053115351, -0.05736284100963078, 0.03358011607448543, 0.3113709803720242, -0.19229671574258328, -0.34196250983816984, 0.0964936526614853, -0.34078332937058037, -0.0242230357414872, 0.18264616191519437, -0.025043974961870566, 0.02872056300757376, 0.09512707133110634, 0.016829469290798937, -0.10248902902839231, -0.27002439635513714, 0.38083171424276496, 0.14625087578384172, 0.14986021581420003, 0.01756445581462653, 0.10994939381957947, 0.03220585924256372, -0.031149806286698792, -0.003588199213804755, -0.09725993242792093, 0.01905788400089203, 0.18160015814414127, 0.11222648483111396, 0.2502141750373563, -0.4079556729060394, -0.20491701039363708, 0.08243031026354644, 0.15977476671139693, 0.17066153577258866, -0.10206930949173582, -0.24439550530318357, 0.0871948888098281, -0.21558819675233254, -0.15917111755233015, 0.021257249982862252, 0.06390324067159077, 0.005403513727384515, -0.20080566016637538, 0.1469976344578431, 0.10101480397103718, -0.06273584464460215, -0.10981914968389643, -0.08624738004243211, -0.12044873095900041, 0.10256502802635972, 0.1625085373714941, 0.046108972983842596, 0.18543958473542826, -0.09243869962798949, -0.06657483030838021, 0.34611144552789846, -0.031831281172861096, -0.13904211421072835, 0.1986167937663202, -0.22730108849792438, -0.09066808542970997, 0.21313143869277817, 0.17722248677274532, 0.1374106574032081, -0.10556206976646659, 0.041558324997575086, 0.04201068692308845, 0.2016757009165174, 0.13606124219605864, 0.0309612465107582, 0.3669041041946094, 0.11890148964556231, 0.01381247215311886, 0.14005012574540893, -0.10372004492935785, -0.05744703126225356, -0.2782075197632926, -0.11500168783099737, -0.17144551504535613, 0.07380936285976827, -0.15275120073796825, -0.15586737525021138, 0.34591334787081685, 0.14374469741131868, 0.20009516072652397, -0.0005036020257438605, 0.3088279306046593, 0.11411200404048694, 0.03924800199456513, 0.08999717116256702, 0.34534814516798806, 0.1142143055317185, 0.09775256378901295, -0.28380185842359734, -0.0046227802494926565, -0.010895423332130063] |
711.067 | A_4 model for the quark mass matrices | We propose a model for the quark masses and mixings based on an A_4 family
symmetry. Three scalar SU(2) doublets form a triplet of A_4. The three
left-handed-quark SU(2) doublets are also united in a triplet of A_4. The
right-handed quarks are singlets of A_4. The A_4-symmetric scalar potential
leads to a vacuum in which two of the three scalar SU(2) doublets have
expectation values with equal moduli. Our model makes an excellent fit of the
observed |V_ub/V_cb|. The symmetry CP is respected in the charged gauge
interactions of the quarks.
| hep-ph | we propose a model for the quark masses and mixings based on an a_4 family symmetry three scalar su2 doublets form a triplet of a_4 the three lefthandedquark su2 doublets are also united in a triplet of a_4 the righthanded quarks are singlets of a_4 the a_4symmetric scalar potential leads to a vacuum in which two of the three scalar su2 doublets have expectation values with equal moduli our model makes an excellent fit of the observed v_ubv_cb the symmetry cp is respected in the charged gauge interactions of the quarks | [['we', 'propose', 'a', 'model', 'for', 'the', 'quark', 'masses', 'and', 'mixings', 'based', 'on', 'an', 'a_4', 'family', 'symmetry', 'three', 'scalar', 'su2', 'doublets', 'form', 'a', 'triplet', 'of', 'a_4', 'the', 'three', 'lefthandedquark', 'su2', 'doublets', 'are', 'also', 'united', 'in', 'a', 'triplet', 'of', 'a_4', 'the', 'righthanded', 'quarks', 'are', 'singlets', 'of', 'a_4', 'the', 'a_4symmetric', 'scalar', 'potential', 'leads', 'to', 'a', 'vacuum', 'in', 'which', 'two', 'of', 'the', 'three', 'scalar', 'su2', 'doublets', 'have', 'expectation', 'values', 'with', 'equal', 'moduli', 'our', 'model', 'makes', 'an', 'excellent', 'fit', 'of', 'the', 'observed', 'v_ubv_cb', 'the', 'symmetry', 'cp', 'is', 'respected', 'in', 'the', 'charged', 'gauge', 'interactions', 'of', 'the', 'quarks']] | [-0.14303613366921328, 0.3014775319260985, -0.02507342804650155, 0.15800894346321, -0.08949228843881024, -0.2087863876380854, -0.0274917098111473, 0.37028401338805755, -0.11749388204189018, -0.27124158307496044, 0.025601500734531633, -0.29237843199840025, -0.02030872684166146, -0.0073713091150340105, 0.06643582472784651, 0.01058423678898382, -0.0526889947320645, 0.028133666344607868, -0.10459457834044264, -0.27797208190378214, 0.30940101442910317, -0.1344896365681456, 0.2598862312734127, 0.04385249430520667, 0.10657173245886548, -0.061513650275042485, 0.06260158551029033, -0.17958235089770622, -0.028884882984372477, 0.10529777960230907, 0.08672577735592818, 0.008267142468442519, 0.0983797607322534, -0.35099220901934636, -0.11569029985564865, 0.16500524194497201, 0.15380068288391663, 0.13043096194742249, -0.09500920670753758, -0.3247723785953389, 0.030299151409417392, -0.21737451198924745, -0.13088552922450214, -0.11009069361413519, -0.08391729311293197, -0.156422855777459, -0.3861334317363799, 0.10061102553704081, -0.07392702694568369, 0.04923044030890904, -0.034576526475656365, -0.2334317472245958, -0.14407048501436495, 0.003546425865756141, 0.22060045960566235, -0.023500806368085454, 0.06345708815432671, -0.1910058642634087, -0.16324362609820026, 0.4716479416438637, -0.13011124113367664, -0.20798795656559782, 0.06751639265567064, -0.08476153561948901, -0.1687405535951257, 0.07506699961506658, 0.1360019067198866, 0.10180522492155433, -0.17399771994807653, 0.1885443146851483, -0.15661431836585205, 0.14017831021919847, 0.032736466814660366, 0.019600131310936478, 0.28181229941546915, 0.11904995145483149, 0.00858355018361989, 0.04889012202620506, -0.03639364920608285, -0.14643130126512713, -0.42414832007553843, -0.1420888030151319, -0.0919509837610854, 0.060708177902011405, -0.13497898356921118, -0.12208156049665478, 0.5210079207266164, 0.10394923265299036, 0.23793718416450751, 0.013220603473018854, 0.22649256359371875, 0.02479111137929269, 0.12808979182607597, -0.01339706672459013, 0.2794641558701793, 0.1813064240747028, 0.026776883326884774, -0.2891649846091039, -0.11393004525452852, 0.11475380836054683] |
711.0671 | Josephson current through a single Anderson impurity coupled to BCS
leads | We investigate the Josephson current J(\phi) through a quantum dot embedded
between two superconductors showing a phase difference \phi. The system is
modeled as a single Anderson impurity coupled to BCS leads, and the functional
and the numerical renormalization group frameworks are employed to treat the
local Coulomb interaction U. We reestablish the picture of a quantum phase
transition occurring if the ratio between the Kondo temperature T_K and the
superconducting energy gap \Delta or, at appropriate T_K/\Delta, the phase
difference \phi or the impurity energy is varied. We present accurate zero- as
well as finite-temperature T data for the current itself, thereby settling a
dispute raised about its magnitude. For small to intermediate U and at T=0 the
truncated functional renormalization group is demonstrated to produce reliable
results without the need to implement demanding numerics. It thus provides a
tool to extract characteristics from experimental current-voltage measurements.
| cond-mat.str-el cond-mat.supr-con | we investigate the josephson current jphi through a quantum dot embedded between two superconductors showing a phase difference phi the system is modeled as a single anderson impurity coupled to bcs leads and the functional and the numerical renormalization group frameworks are employed to treat the local coulomb interaction u we reestablish the picture of a quantum phase transition occurring if the ratio between the kondo temperature t_k and the superconducting energy gap delta or at appropriate t_kdelta the phase difference phi or the impurity energy is varied we present accurate zero as well as finitetemperature t data for the current itself thereby settling a dispute raised about its magnitude for small to intermediate u and at t0 the truncated functional renormalization group is demonstrated to produce reliable results without the need to implement demanding numerics it thus provides a tool to extract characteristics from experimental currentvoltage measurements | [['we', 'investigate', 'the', 'josephson', 'current', 'jphi', 'through', 'a', 'quantum', 'dot', 'embedded', 'between', 'two', 'superconductors', 'showing', 'a', 'phase', 'difference', 'phi', 'the', 'system', 'is', 'modeled', 'as', 'a', 'single', 'anderson', 'impurity', 'coupled', 'to', 'bcs', 'leads', 'and', 'the', 'functional', 'and', 'the', 'numerical', 'renormalization', 'group', 'frameworks', 'are', 'employed', 'to', 'treat', 'the', 'local', 'coulomb', 'interaction', 'u', 'we', 'reestablish', 'the', 'picture', 'of', 'a', 'quantum', 'phase', 'transition', 'occurring', 'if', 'the', 'ratio', 'between', 'the', 'kondo', 'temperature', 't_k', 'and', 'the', 'superconducting', 'energy', 'gap', 'delta', 'or', 'at', 'appropriate', 't_kdelta', 'the', 'phase', 'difference', 'phi', 'or', 'the', 'impurity', 'energy', 'is', 'varied', 'we', 'present', 'accurate', 'zero', 'as', 'well', 'as', 'finitetemperature', 't', 'data', 'for', 'the', 'current', 'itself', 'thereby', 'settling', 'a', 'dispute', 'raised', 'about', 'its', 'magnitude', 'for', 'small', 'to', 'intermediate', 'u', 'and', 'at', 't0', 'the', 'truncated', 'functional', 'renormalization', 'group', 'is', 'demonstrated', 'to', 'produce', 'reliable', 'results', 'without', 'the', 'need', 'to', 'implement', 'demanding', 'numerics', 'it', 'thus', 'provides', 'a', 'tool', 'to', 'extract', 'characteristics', 'from', 'experimental', 'currentvoltage', 'measurements']] | [-0.16623264716975894, 0.13987160475713806, -0.09589645831619163, 0.09288190929706812, -0.04272514090218858, -0.19231267687172401, 0.11310496782755002, 0.3557568248062445, -0.2731062213361666, -0.30556880949518167, 0.02766035805217217, -0.31462857803971683, -0.0799672318955984, 0.16417088615708053, 0.03445092264745334, 0.04439470705511741, 0.00946073213629928, 0.037079640182767167, -0.132484605948038, -0.18012188391514575, 0.2962773873225307, 0.004457779944484198, 0.26226624983797053, 0.1121237791486311, 0.04983384273647381, 0.004329358458808447, 0.043705704609385214, 0.022771512922780537, -0.15303929945661662, 0.029830535194156942, 0.266695183522864, -0.03018458276622098, 0.24971871404134593, -0.428409409973569, -0.1953762375019692, 0.06158575057398175, 0.12392486300086603, 0.1187724564979608, -0.046259133536934956, -0.29129209036536113, 0.057698770633873506, -0.16351387258839314, -0.14313095302409115, -0.09285718709154911, 0.007365668714801605, -0.03280013201229677, -0.2763890200632788, 0.11349305780478627, 0.0024264276954282476, 0.039299546690607395, -0.0011970557915864865, -0.0873085682388911, -0.014677861140650773, 0.12557283603284206, 0.010072290244499675, 0.08273239167268716, 0.15177521635337757, -0.10876381984043464, -0.025758075678872096, 0.3596326798968319, -0.07450731549446622, -0.12902458581595203, 0.19327510327236047, -0.11706821922829526, -0.04131705975600493, 0.09504701739894478, 0.07024271971218891, 0.06720177779002492, -0.11862766767247908, 0.10738806013250723, 0.023239562929784123, 0.18142809678888502, 0.0014793930285786454, 0.030618018841975042, 0.20836653753586515, 0.18112480363531694, 0.053483533629725966, 0.12310774844120936, -0.08343027550900178, -0.1099707534508402, -0.2978998254213759, -0.13594662925026715, -0.18541655006009858, 0.06653947026053494, -0.05470436388733671, -0.18548747393730525, 0.37747825092161735, 0.15575600128520178, 0.21941844942410024, -0.008667216038432074, 0.27674367042522674, 0.16162490855109551, 0.05014951591206104, 0.04734258485857297, 0.19752713455818594, 0.16843109276158283, 0.11853926655572108, -0.32149732754270016, 0.02609905763686559, 0.06529739261600913] |
711.0672 | On D. Haegele's approach to the Bessis-Moussa-Villani conjecture | The reformulation of the Bessis-Moussa-Villani conjecture given by Lieb and
Seiringer asserts that the coefficient of t^r in the polynomial
Trace[(A+tB)^p], with A and B positive semidefinite matrices, is nonnegative
for all p and r. We propose a natural extension of a method of attack on this
problem due to Haegele, and investigate for what values of p and r the method
is successful, obtaining a complete determination when either p or r is odd.
| math.OA math.RA | the reformulation of the bessismoussavillani conjecture given by lieb and seiringer asserts that the coefficient of tr in the polynomial traceatbp with a and b positive semidefinite matrices is nonnegative for all p and r we propose a natural extension of a method of attack on this problem due to haegele and investigate for what values of p and r the method is successful obtaining a complete determination when either p or r is odd | [['the', 'reformulation', 'of', 'the', 'bessismoussavillani', 'conjecture', 'given', 'by', 'lieb', 'and', 'seiringer', 'asserts', 'that', 'the', 'coefficient', 'of', 'tr', 'in', 'the', 'polynomial', 'traceatbp', 'with', 'a', 'and', 'b', 'positive', 'semidefinite', 'matrices', 'is', 'nonnegative', 'for', 'all', 'p', 'and', 'r', 'we', 'propose', 'a', 'natural', 'extension', 'of', 'a', 'method', 'of', 'attack', 'on', 'this', 'problem', 'due', 'to', 'haegele', 'and', 'investigate', 'for', 'what', 'values', 'of', 'p', 'and', 'r', 'the', 'method', 'is', 'successful', 'obtaining', 'a', 'complete', 'determination', 'when', 'either', 'p', 'or', 'r', 'is', 'odd']] | [-0.14239487099167827, 0.06118894044839305, -0.0692379896031463, 0.017943091770276837, -0.036125201419353076, -0.21787654530665237, 0.03367647102217458, 0.2793455187435428, -0.2688560918075581, -0.2768037463729716, 0.11287397032520695, -0.2455480882151639, -0.1615665405510274, 0.15169310210310943, -0.06014455510112011, 0.03770813101456877, 0.025508386924964925, 0.07472255985469442, -0.08477597844735911, -0.2724789514665632, 0.31663343346078104, -0.005517471454119029, 0.1798064154253839, 0.12152167942298397, 0.09668439218442734, 0.06633999482537173, -0.0381710170225993, 0.026178757602680628, -0.1489414813652617, 0.12483552750997398, 0.23088636963743053, 0.1646209691191883, 0.3026003533374671, -0.3243815209333823, -0.13093223292316783, 0.16520306654274464, 0.07795534167145315, 0.05293976022759835, -0.00742126887900219, -0.23562629400969368, 0.18861964978564735, -0.12967282034016583, -0.1148236646852775, -0.047098391255593466, 0.14116787642546713, -0.05506920894888574, -0.3827954158952383, 0.05636611621673793, 0.12931680292758632, 0.08350754558580788, -0.038699325898100864, -0.15882086663264527, 0.03912788181731554, 0.009681172836779247, 0.017577163192558372, 0.06365770549188074, 0.018109031538287662, -0.06459876952042216, -0.09411692042669205, 0.40405867295977593, -0.0697011576569958, -0.21628954824162264, 0.11247274257906087, -0.14582115509355925, -0.11050077466523811, 0.08032752550526025, 0.11467770552772978, 0.17465571724899012, -0.032342886498990496, 0.19073227769615486, -0.1381814127838979, 0.10347980217472331, 0.09345724539550608, -0.04336586407240646, 0.15069424751380536, 0.06651217641934037, 0.11442504074960334, 0.12625186021554552, -0.0155797247449574, 0.014995358329368373, -0.282021952231657, -0.1940659577129026, -0.24803823914398018, 0.10342230490561932, -0.0810298282094539, -0.15066872441292778, 0.39268566637414776, 0.07058358650450429, 0.2119418477563009, 0.09585196628197007, 0.2533569951503448, 0.11449888219725188, 0.010650872984065432, 0.07080273057273526, 0.12347505108950889, 0.1719874303105402, 0.04904671368661196, -0.21759098967256613, 0.0721226461193435, 0.12893304663187224] |
711.0673 | More on the bending of light ! | Recently, Rindler and Ishak have argued that the bending of light is, in
principle, changed by the presence of a cosmological constant since one must
consider not only the null geodesic equation, but also the process of
measurement. I agree with the fact that both must be considered. Here, on the
basis of the mathematically exact solution to the classical bending problem,
and independent of the cosmological constant, I clarify the approximate
argument found in the vast majority of texts (new and old) for the measured
value of the bending of light for a single source and show that the result is
in part due to the almost perfect cancelation of two terms, one of which is
seldom considered. When one considers two sources, this cancelation is of no
consequence, and, for example, if the sources are opposite with the same
associated apsidal distance, the approximate argument gives the rigorously
correct answer (up to numerical evaluation), an answer which is unaffected by
the presence of a cosmological constant.
| gr-qc astro-ph | recently rindler and ishak have argued that the bending of light is in principle changed by the presence of a cosmological constant since one must consider not only the null geodesic equation but also the process of measurement i agree with the fact that both must be considered here on the basis of the mathematically exact solution to the classical bending problem and independent of the cosmological constant i clarify the approximate argument found in the vast majority of texts new and old for the measured value of the bending of light for a single source and show that the result is in part due to the almost perfect cancelation of two terms one of which is seldom considered when one considers two sources this cancelation is of no consequence and for example if the sources are opposite with the same associated apsidal distance the approximate argument gives the rigorously correct answer up to numerical evaluation an answer which is unaffected by the presence of a cosmological constant | [['recently', 'rindler', 'and', 'ishak', 'have', 'argued', 'that', 'the', 'bending', 'of', 'light', 'is', 'in', 'principle', 'changed', 'by', 'the', 'presence', 'of', 'a', 'cosmological', 'constant', 'since', 'one', 'must', 'consider', 'not', 'only', 'the', 'null', 'geodesic', 'equation', 'but', 'also', 'the', 'process', 'of', 'measurement', 'i', 'agree', 'with', 'the', 'fact', 'that', 'both', 'must', 'be', 'considered', 'here', 'on', 'the', 'basis', 'of', 'the', 'mathematically', 'exact', 'solution', 'to', 'the', 'classical', 'bending', 'problem', 'and', 'independent', 'of', 'the', 'cosmological', 'constant', 'i', 'clarify', 'the', 'approximate', 'argument', 'found', 'in', 'the', 'vast', 'majority', 'of', 'texts', 'new', 'and', 'old', 'for', 'the', 'measured', 'value', 'of', 'the', 'bending', 'of', 'light', 'for', 'a', 'single', 'source', 'and', 'show', 'that', 'the', 'result', 'is', 'in', 'part', 'due', 'to', 'the', 'almost', 'perfect', 'cancelation', 'of', 'two', 'terms', 'one', 'of', 'which', 'is', 'seldom', 'considered', 'when', 'one', 'considers', 'two', 'sources', 'this', 'cancelation', 'is', 'of', 'no', 'consequence', 'and', 'for', 'example', 'if', 'the', 'sources', 'are', 'opposite', 'with', 'the', 'same', 'associated', 'apsidal', 'distance', 'the', 'approximate', 'argument', 'gives', 'the', 'rigorously', 'correct', 'answer', 'up', 'to', 'numerical', 'evaluation', 'an', 'answer', 'which', 'is', 'unaffected', 'by', 'the', 'presence', 'of', 'a', 'cosmological', 'constant']] | [-0.13034935145073437, 0.09886076460238005, -0.06313457417993396, 0.0627379474591678, -0.08009986712464265, -0.1484204246246788, 0.03233458291062908, 0.3290221537879136, -0.2598270839745445, -0.3035523524685275, 0.09889770503061646, -0.2669881030818769, -0.11565203398848618, 0.19151143446963811, -0.05229896639329603, 0.004866714240051806, 0.05675088293806073, 0.06012855494572293, -0.031447998093513195, -0.24732237007646335, 0.3355849046908718, 0.057086791844561786, 0.24827192439365067, 0.07496900246146002, 0.1247241373999887, -0.011949627732974477, -0.05948519239401711, 0.03801635296189315, -0.10055387521212349, 0.08487926101397966, 0.19982370866429328, 0.10005824881985366, 0.2576178791045788, -0.38124033108830363, -0.20018831512425095, 0.0983371968419912, 0.14526859329669692, 0.13529950130170965, -0.02998769095713561, -0.23677850128539527, 0.10149641435488038, -0.11922069840476893, -0.1549899223000033, -0.006211890317943124, 0.04418357854176845, -0.011078035874691392, -0.22054430545540527, 0.0924578131482468, 0.08525511713066537, 0.0008718801296449133, -0.08328084785760093, -0.08167763344854825, 0.00328523864958524, 0.11069895659377271, 0.1394340433660957, 0.043463805763860275, 0.057465522261779936, -0.10104103788450759, -0.09744749424724086, 0.40430283810876844, -0.06624732441629194, -0.21767921848887845, 0.1456197051115201, -0.14247322210299207, -0.11066371515681524, 0.12139523088505182, 0.0830926388152875, 0.11093658051409182, -0.16180660619881695, 0.0876351640600617, -0.057650062100340925, 0.1556019070946301, 0.09877737740697783, 0.014648870328355337, 0.20863237561258888, 0.066754277690918, 0.06700708396827049, 0.10473463490156323, -0.052399688754078286, -0.10579716962196731, -0.3498944148110847, -0.1578328352555954, -0.2063547617089214, 0.07479088123996223, -0.09527240757415711, -0.18365017938846168, 0.3543762295351674, 0.13637649687700018, 0.1862260561098256, 0.03194596390711099, 0.28622313474659766, 0.12282532621784845, 0.03908677979433421, 0.07160608266158738, 0.3376287882648675, 0.11723728583560192, 0.06828726733025785, -0.21244379691779613, 0.09363163293372574, 0.04116667861706533] |
711.0674 | Colimits of representable algebra-valued functors | If C and D are varieties of algebras in the sense of general algebra, then by
a representable functor C --> D we understand a functor which, when composed
with the forgetful functor D --> Set, gives a representable functor in the
classical sense; Freyd showed that these functors are determined by D-coalgebra
objects of C. Let Rep(C,D) denote the category of all such functors, a full
subcategory of Cat(C,D), opposite to the category of D-coalgebras in C.
It is proved that Rep(C,D) has small colimits, and in certain situations,
explicit constructions for the representing coalgebras are obtained.
In particular, Rep(C,D) always has an initial object. This is shown to be
"trivial" unless C and D either both have_no_ zeroary operations, or both have
_more_than_one_ derived zeroary operation. In those two cases, the functors in
question may have surprisingly opulent structures.
It is also shown that every set-valued representable functor on C admits a
universal morphism to a D-valued representable functor.
Several examples are worked out in detail, and areas for further
investigation noted.
| math.CT | if c and d are varieties of algebras in the sense of general algebra then by a representable functor c d we understand a functor which when composed with the forgetful functor d set gives a representable functor in the classical sense freyd showed that these functors are determined by dcoalgebra objects of c let repcd denote the category of all such functors a full subcategory of catcd opposite to the category of dcoalgebras in c it is proved that repcd has small colimits and in certain situations explicit constructions for the representing coalgebras are obtained in particular repcd always has an initial object this is shown to be trivial unless c and d either both have_no_ zeroary operations or both have _more_than_one_ derived zeroary operation in those two cases the functors in question may have surprisingly opulent structures it is also shown that every setvalued representable functor on c admits a universal morphism to a dvalued representable functor several examples are worked out in detail and areas for further investigation noted | [['if', 'c', 'and', 'd', 'are', 'varieties', 'of', 'algebras', 'in', 'the', 'sense', 'of', 'general', 'algebra', 'then', 'by', 'a', 'representable', 'functor', 'c', 'd', 'we', 'understand', 'a', 'functor', 'which', 'when', 'composed', 'with', 'the', 'forgetful', 'functor', 'd', 'set', 'gives', 'a', 'representable', 'functor', 'in', 'the', 'classical', 'sense', 'freyd', 'showed', 'that', 'these', 'functors', 'are', 'determined', 'by', 'dcoalgebra', 'objects', 'of', 'c', 'let', 'repcd', 'denote', 'the', 'category', 'of', 'all', 'such', 'functors', 'a', 'full', 'subcategory', 'of', 'catcd', 'opposite', 'to', 'the', 'category', 'of', 'dcoalgebras', 'in', 'c', 'it', 'is', 'proved', 'that', 'repcd', 'has', 'small', 'colimits', 'and', 'in', 'certain', 'situations', 'explicit', 'constructions', 'for', 'the', 'representing', 'coalgebras', 'are', 'obtained', 'in', 'particular', 'repcd', 'always', 'has', 'an', 'initial', 'object', 'this', 'is', 'shown', 'to', 'be', 'trivial', 'unless', 'c', 'and', 'd', 'either', 'both', 'have_no_', 'zeroary', 'operations', 'or', 'both', 'have', '_more_than_one_', 'derived', 'zeroary', 'operation', 'in', 'those', 'two', 'cases', 'the', 'functors', 'in', 'question', 'may', 'have', 'surprisingly', 'opulent', 'structures', 'it', 'is', 'also', 'shown', 'that', 'every', 'setvalued', 'representable', 'functor', 'on', 'c', 'admits', 'a', 'universal', 'morphism', 'to', 'a', 'dvalued', 'representable', 'functor', 'several', 'examples', 'are', 'worked', 'out', 'in', 'detail', 'and', 'areas', 'for', 'further', 'investigation', 'noted']] | [-0.1493131400429553, 0.06727687567381951, -0.06507882411434122, 0.06854223891192615, -0.054488662283913025, -0.20181802821504632, -0.018181902301077527, 0.39553649196537527, -0.4023873554343903, -0.20140087859500655, 0.07434242851989593, -0.21320374447372514, -0.13931085622057365, 0.1881336015805307, -0.17885292954913273, -0.07333521834267985, 0.08676275284534957, 0.1023996005590051, -0.05097924964963856, -0.2636057793776073, 0.3867355860179154, -0.0553304625138436, 0.20805471256466174, 0.038905629396961044, 0.09000551843697704, -0.06372546384440417, -0.023442952799974236, 0.04053754375037187, -0.11966780481909553, 0.06081897584812307, 0.3575717287575372, 0.1168674064584349, 0.2226772873347239, -0.3520434190107086, -0.09760159967330898, 0.1830279516409685, 0.1272131866880511, 0.028479552466462072, 0.015307609316972426, -0.29380472269045504, 0.133810142681951, -0.19769022140436146, -0.05990999479630462, -0.11132006819939196, 0.16910332442465714, -0.008001765818335116, -0.27852753285182325, -0.0970210929249666, 0.12409510226954319, 0.10858064700945894, -0.05784182487305526, -0.10936158885483675, -0.1390665804061516, 0.07675105813843136, -0.042703248025202076, 0.07897803927601384, 0.10868039531540978, -0.10589449612349953, -0.10288363604425885, 0.38956471354269034, -0.041791178479154666, -0.21807963518967438, 0.16311258133557602, -0.15840697795061803, -0.14628114315919669, 0.12016245524012824, -0.023819299634807264, 0.1581590346815973, -0.05453875144170214, 0.2220270097491377, -0.16312667638029357, 0.05969871380423173, 0.1329841140498657, 0.027971642133396504, 0.13625330097189672, 0.07705411834858085, 0.011945413555467228, 0.14144480171281185, 0.046512512366639495, -0.03175511545212031, -0.33499527390955425, -0.1405973659882254, -0.07671774997696758, 0.11627785879380365, -0.041043543108815625, -0.1536987254508947, 0.324280544902516, 0.1013330554283684, 0.18168889419402837, 0.12809111292136083, 0.21389290007830755, 0.05182080327473913, 0.0681442673582152, 0.045694079832173884, 0.17217214434214573, 0.2259223788675693, 0.009695133960964839, -0.05359471819885984, 0.047002178256218205, 0.16873417787322] |
711.0675 | Phenomenological analysis of nucleon strangeness and meson-nucleon sigma
terms | We calculate the nucleon strangeness $y_N$ in the chiral quark model and the
meson cloud model. With the internal relation between the sigma term of
$\pi$$N$ ($\sigma_{\pi N}$) and $y_N$, we present the results of $\sigma_{\pi
N}$ in these two models. Our calculations show that $y_N$ from the chiral quark
model is significant larger than that from the meson cloud model, whereas the
difference of $\sigma_{\pi N}$ between the two models is relatively small. We
also present the results of $\sigma_{K N}$ and $\sigma_{\eta N}$, which could
be determined by $\sigma_{\pi N}$ and $y_N$ from their definition in the
current algebra, and find that these two physical parameters are quite
sensitive to $y_N$. The results indicate the necessity to restrict the
parameters of the two models from more precision measurements.
| hep-ph | we calculate the nucleon strangeness y_n in the chiral quark model and the meson cloud model with the internal relation between the sigma term of pin sigma_pi n and y_n we present the results of sigma_pi n in these two models our calculations show that y_n from the chiral quark model is significant larger than that from the meson cloud model whereas the difference of sigma_pi n between the two models is relatively small we also present the results of sigma_k n and sigma_eta n which could be determined by sigma_pi n and y_n from their definition in the current algebra and find that these two physical parameters are quite sensitive to y_n the results indicate the necessity to restrict the parameters of the two models from more precision measurements | [['we', 'calculate', 'the', 'nucleon', 'strangeness', 'y_n', 'in', 'the', 'chiral', 'quark', 'model', 'and', 'the', 'meson', 'cloud', 'model', 'with', 'the', 'internal', 'relation', 'between', 'the', 'sigma', 'term', 'of', 'pin', 'sigma_pi', 'n', 'and', 'y_n', 'we', 'present', 'the', 'results', 'of', 'sigma_pi', 'n', 'in', 'these', 'two', 'models', 'our', 'calculations', 'show', 'that', 'y_n', 'from', 'the', 'chiral', 'quark', 'model', 'is', 'significant', 'larger', 'than', 'that', 'from', 'the', 'meson', 'cloud', 'model', 'whereas', 'the', 'difference', 'of', 'sigma_pi', 'n', 'between', 'the', 'two', 'models', 'is', 'relatively', 'small', 'we', 'also', 'present', 'the', 'results', 'of', 'sigma_k', 'n', 'and', 'sigma_eta', 'n', 'which', 'could', 'be', 'determined', 'by', 'sigma_pi', 'n', 'and', 'y_n', 'from', 'their', 'definition', 'in', 'the', 'current', 'algebra', 'and', 'find', 'that', 'these', 'two', 'physical', 'parameters', 'are', 'quite', 'sensitive', 'to', 'y_n', 'the', 'results', 'indicate', 'the', 'necessity', 'to', 'restrict', 'the', 'parameters', 'of', 'the', 'two', 'models', 'from', 'more', 'precision', 'measurements']] | [-0.10710120561013285, 0.21574275325983763, -0.0733666170675021, 0.06607036303478078, 0.001969205931975291, -0.11490058068615885, 0.06945302081473459, 0.3334705041291622, -0.2292645072707763, -0.2996832098238743, 0.0030564736583843254, -0.34669781684015805, -0.09351171617252896, 0.13348084164317697, 0.04837555488428244, 0.02691044075271258, 0.03872158127532412, 0.06637366887253637, -0.0724786003639635, -0.21121251258211068, 0.33147691396566537, -0.03857823650782498, 0.19100911795663145, 0.09289348264439748, 0.02566102036731676, -0.06911184367311832, -0.04423767450767068, -0.05167518452239724, -0.13656510307644987, 0.11828143389608997, 0.1923480974127205, 0.08650726322801067, 0.14631669292083152, -0.41086508997071247, -0.13278302604046005, 0.13577586118346796, 0.14472297750091037, 0.0800718795391731, 0.01990544896051198, -0.24553846414559163, 0.12858188503350204, -0.20086283089521412, -0.1198733772473553, -0.0910444720218388, 0.04425073316893899, 0.020895029925920357, -0.3115653367139972, 0.06815964626305056, 0.030979354307055472, 0.01006792609063828, -0.04076163740112231, -0.2530305650568782, -0.053253514597264046, 0.09805923918835245, 0.09668349392282274, 0.08813018918825456, 0.08629700680478261, -0.15131361694075168, -0.05339773012898289, 0.38914519923810775, -0.07523353909234104, -0.22253186222447907, 0.10463054644373747, -0.18782413819661506, -0.15662065865113758, 0.06618512819091288, 0.13714868963624421, 0.10620883838631785, -0.13527164660537472, 0.10631564468494617, -0.08622338994621084, 0.2216392958088993, 0.021595724632676977, 0.03394659781613602, 0.16530055553437425, 0.1463983262029405, -0.012692524893925741, 0.0675235211249226, -0.07130545806139707, -0.10409425398191581, -0.37883468648562063, -0.06904475810364462, -0.1560583939560904, 0.08684512183356743, -0.18015272828264503, -0.08513320800131903, 0.3392470281141309, 0.19090619911797918, 0.27970535875513003, 0.0618806926220154, 0.2709654135056413, 0.08170218533531834, 0.0744559708606595, 0.06737560995388776, 0.20368475064617367, 0.1700771630168534, 0.06098244889424397, -0.2578473240459481, 0.014854806944584617, 0.047169345524162055] |
711.0676 | Failure of Wiener's property for positive definite periodic functions | We say that Wiener's property holds for the exponent $p>0$ if we have that
whenever a positive definite function $f$ belongs to $L^p(-\epsilon,\epsilon)$
for some $\epsilon>0$, then $f$ necessarily belongs to $L^p(\TT)$, too. This
holds true for $p\in 2\NN$ by a classical result of Wiener. Recently various
concentration results were proved for idempotents and positive definite
functions on measurable sets on the torus. These new results enable us to prove
a sharp version of the failure of Wiener's property for $p\notin 2\NN$. Thus we
obtain strong extensions of results of Wainger and Shapiro, who proved the
negative answer to Wiener's problem for $p\notin 2\NN$.
| math.CA | we say that wieners property holds for the exponent p0 if we have that whenever a positive definite function f belongs to lpepsilonepsilon for some epsilon0 then f necessarily belongs to lptt too this holds true for pin 2nn by a classical result of wiener recently various concentration results were proved for idempotents and positive definite functions on measurable sets on the torus these new results enable us to prove a sharp version of the failure of wieners property for pnotin 2nn thus we obtain strong extensions of results of wainger and shapiro who proved the negative answer to wieners problem for pnotin 2nn | [['we', 'say', 'that', 'wieners', 'property', 'holds', 'for', 'the', 'exponent', 'p0', 'if', 'we', 'have', 'that', 'whenever', 'a', 'positive', 'definite', 'function', 'f', 'belongs', 'to', 'lpepsilonepsilon', 'for', 'some', 'epsilon0', 'then', 'f', 'necessarily', 'belongs', 'to', 'lptt', 'too', 'this', 'holds', 'true', 'for', 'pin', '2nn', 'by', 'a', 'classical', 'result', 'of', 'wiener', 'recently', 'various', 'concentration', 'results', 'were', 'proved', 'for', 'idempotents', 'and', 'positive', 'definite', 'functions', 'on', 'measurable', 'sets', 'on', 'the', 'torus', 'these', 'new', 'results', 'enable', 'us', 'to', 'prove', 'a', 'sharp', 'version', 'of', 'the', 'failure', 'of', 'wieners', 'property', 'for', 'pnotin', '2nn', 'thus', 'we', 'obtain', 'strong', 'extensions', 'of', 'results', 'of', 'wainger', 'and', 'shapiro', 'who', 'proved', 'the', 'negative', 'answer', 'to', 'wieners', 'problem', 'for', 'pnotin', '2nn']] | [-0.11278040578037284, 0.06364994400714352, -0.09717503273226683, 0.11255842760019909, -0.09051707442409078, -0.23349085455145507, 0.05900637369639086, 0.3420447690177311, -0.2693204675593133, -0.17603379388162368, 0.06369335879910809, -0.2802991676234722, -0.15229535288430607, 0.24419003196096825, -0.10039000166127983, 0.06538616475712472, 0.024031494915919396, 0.058471260709886994, -0.043451307572026567, -0.28657425403622094, 0.341397896607958, -0.049302110035657355, 0.17817898819819816, 0.13172298837091448, 0.06946956676440043, 0.031106779288536716, 0.036010580297866926, 0.004022668197172359, -0.22452127281562267, 0.05879774030062904, 0.23835414621608278, 0.11781087914002535, 0.3225465964961648, -0.32794869531090687, -0.152375960360887, 0.20892629844308333, 0.08077805825436796, 0.012220539762954978, -0.06871690263279975, -0.2802938166463259, 0.22181597483305948, -0.11052667654969377, -0.20032178645826948, -0.08847124446002604, 0.11259060632776541, 0.0303161871773236, -0.3806292540891078, 0.06507045388203657, 0.1878365481236172, 0.012957380004046322, -0.08665235689050038, -0.1424375330210998, 0.036798619587218515, 0.09356069915647645, 0.011312385512751771, 0.06368549450106231, 0.006412798303712919, -0.021582531686239307, -0.11204153772904674, 0.28719359431958313, -0.05867639753642013, -0.2150819489678133, 0.15078217299311486, -0.20130781596865577, -0.19881362012628176, 0.07801375174171572, 0.08441071790073393, 0.12056656879852119, -0.04761839247516637, 0.1756971000130876, -0.12830012164178115, 0.13780543783643437, 0.13817591949036, 0.012210554823062374, 0.07472749032279097, -0.009485801478431932, 0.16720605874490627, 0.12350997235173884, 0.023696748476511646, -0.011084120157762493, -0.3116117144112014, -0.20668806477440793, -0.20191323343727702, 0.1417997603042467, -0.08506787776267744, -0.18031721029575298, 0.3120666083572342, 0.1188436316668725, 0.16527303886482292, 0.1610451133634095, 0.14383519193139468, 0.10094426966100498, 0.01291773345285249, 0.06320937410069322, 0.16164299641940427, 0.18948344655958846, 0.055978475310342404, -0.1204670023634234, 0.0975364580596752, 0.16584183332211908] |
711.0677 | Exact Minimum Eigenvalue Distribution of an Entangled Random Pure State | A recent conjecture regarding the average of the minimum eigenvalue of the
reduced density matrix of a random complex state is proved. In fact, the full
distribution of the minimum eigenvalue is derived exactly for both the cases of
a random real and a random complex state. Our results are relevant to the
entanglement properties of eigenvectors of the orthogonal and unitary ensembles
of random matrix theory and quantum chaotic systems. They also provide a rare
exactly solvable case for the distribution of the minimum of a set of N {\em
strongly correlated} random variables for all values of N (and not just for
large N).
| cond-mat.stat-mech math-ph math.MP quant-ph | a recent conjecture regarding the average of the minimum eigenvalue of the reduced density matrix of a random complex state is proved in fact the full distribution of the minimum eigenvalue is derived exactly for both the cases of a random real and a random complex state our results are relevant to the entanglement properties of eigenvectors of the orthogonal and unitary ensembles of random matrix theory and quantum chaotic systems they also provide a rare exactly solvable case for the distribution of the minimum of a set of n em strongly correlated random variables for all values of n and not just for large n | [['a', 'recent', 'conjecture', 'regarding', 'the', 'average', 'of', 'the', 'minimum', 'eigenvalue', 'of', 'the', 'reduced', 'density', 'matrix', 'of', 'a', 'random', 'complex', 'state', 'is', 'proved', 'in', 'fact', 'the', 'full', 'distribution', 'of', 'the', 'minimum', 'eigenvalue', 'is', 'derived', 'exactly', 'for', 'both', 'the', 'cases', 'of', 'a', 'random', 'real', 'and', 'a', 'random', 'complex', 'state', 'our', 'results', 'are', 'relevant', 'to', 'the', 'entanglement', 'properties', 'of', 'eigenvectors', 'of', 'the', 'orthogonal', 'and', 'unitary', 'ensembles', 'of', 'random', 'matrix', 'theory', 'and', 'quantum', 'chaotic', 'systems', 'they', 'also', 'provide', 'a', 'rare', 'exactly', 'solvable', 'case', 'for', 'the', 'distribution', 'of', 'the', 'minimum', 'of', 'a', 'set', 'of', 'n', 'em', 'strongly', 'correlated', 'random', 'variables', 'for', 'all', 'values', 'of', 'n', 'and', 'not', 'just', 'for', 'large', 'n']] | [-0.15216426532451977, 0.18292388288778658, -0.05070593848578491, 0.05057851734948959, 0.01661722933574808, -0.12932059853249844, 0.05183941619975914, 0.30103398968667705, -0.24837130557236103, -0.24948625271823607, 0.1075783242100305, -0.29413855349741663, -0.16811605056369994, 0.16338502661377755, 0.00858053775012212, 0.1309994631832661, 0.08009204748394143, 0.11044369345637399, -0.07773881969876799, -0.28432231377107353, 0.2895995772549145, 0.023159342487386585, 0.24628087909857058, 0.011931759867606298, 0.0925598353463805, 0.05001574615895186, -0.001427710192488893, 0.03215422675702081, -0.059632301594148264, 0.12803877969184574, 0.22736638803737905, 0.13852289019433675, 0.24722261677654284, -0.3795065706912077, -0.20701837099710796, 0.1609691507139085, 0.1099966167481089, 0.10484587493844612, 0.014166046768637761, -0.25320378894575013, 0.12055052605123734, -0.1259919074320076, -0.1695179935228431, -0.034582024022831385, 0.06272025717387222, 0.032782381062202576, -0.3251244209153261, 0.08159196274854762, 0.08064741175621748, 0.03416993042282109, 0.0004305221856448729, -0.15678280442601666, 0.0023605673187324463, 0.13830664729971862, -0.030989689756852557, -0.03327803192045188, 0.07067331014517343, -0.13939342795836054, -0.09030848457521917, 0.3846958572712709, -0.02296464248309966, -0.2094316526122813, 0.14221935877181097, -0.1684154997544609, -0.14006859274967662, 0.11184717674809948, 0.15106472658555745, 0.14924471952759152, -0.10303771129440305, 0.12534538323042105, -0.11234397551084359, 0.12831171856806525, 0.0087974034030131, 0.04699782390182592, 0.15525718628349802, 0.05260694415730266, 0.10210347450052756, 0.1323694992560085, -0.01742579977748529, -0.1505970282695379, -0.30350999952346647, -0.14893173789254055, -0.29093184210645595, 0.09792441395256901, -0.1631561909831911, -0.23278179079434783, 0.43493873336053684, 0.09374820967732032, 0.24194761593211092, 0.09476202786768312, 0.21669177819957147, 0.14613787091860464, -0.018207826616488537, 0.08039595797341668, 0.16074437476729728, 0.21432066208876246, 0.016076532570328914, -0.21299226141868616, 0.0599538867487045, 0.05464759756556167] |
711.0678 | Perturbations and moduli space dynamics of tachyon kinks | The dynamic process of unstable D-branes decaying into stable ones with one
dimension lower can be described by a tachyon field with a Dirac-Born-Infeld
effective action. In this paper we investigate the fluctuation modes of the
tachyon field around a two-parameter family of static solutions representing an
array of brane-antibrane pairs. Besides a pair of zero modes associated with
the parameters of the solution, and instabilities associated with annihilation
of the brane-antibrane pairs, we find states corresponding to excitations of
the tachyon field around the brane and in the bulk. In the limit that the brane
thickness tends to zero, the support of the eigenmodes is limited to the brane,
consistent with the idea that propagating tachyon modes drop out of the
spectrum as the tachyon field approaches its ground state. Low-lying excited
states, including the zero modes, appear to show a 4-fold degeneracy in this
limit. Finally, we also discuss the slow motion of the solution corresponding
to the decay process in the moduli space, finding a trajectory which oscillates
periodically between the unstable D-brane and the brane-antibrane pairs of one
dimension lower.
| hep-th | the dynamic process of unstable dbranes decaying into stable ones with one dimension lower can be described by a tachyon field with a diracborninfeld effective action in this paper we investigate the fluctuation modes of the tachyon field around a twoparameter family of static solutions representing an array of braneantibrane pairs besides a pair of zero modes associated with the parameters of the solution and instabilities associated with annihilation of the braneantibrane pairs we find states corresponding to excitations of the tachyon field around the brane and in the bulk in the limit that the brane thickness tends to zero the support of the eigenmodes is limited to the brane consistent with the idea that propagating tachyon modes drop out of the spectrum as the tachyon field approaches its ground state lowlying excited states including the zero modes appear to show a 4fold degeneracy in this limit finally we also discuss the slow motion of the solution corresponding to the decay process in the moduli space finding a trajectory which oscillates periodically between the unstable dbrane and the braneantibrane pairs of one dimension lower | [['the', 'dynamic', 'process', 'of', 'unstable', 'dbranes', 'decaying', 'into', 'stable', 'ones', 'with', 'one', 'dimension', 'lower', 'can', 'be', 'described', 'by', 'a', 'tachyon', 'field', 'with', 'a', 'diracborninfeld', 'effective', 'action', 'in', 'this', 'paper', 'we', 'investigate', 'the', 'fluctuation', 'modes', 'of', 'the', 'tachyon', 'field', 'around', 'a', 'twoparameter', 'family', 'of', 'static', 'solutions', 'representing', 'an', 'array', 'of', 'braneantibrane', 'pairs', 'besides', 'a', 'pair', 'of', 'zero', 'modes', 'associated', 'with', 'the', 'parameters', 'of', 'the', 'solution', 'and', 'instabilities', 'associated', 'with', 'annihilation', 'of', 'the', 'braneantibrane', 'pairs', 'we', 'find', 'states', 'corresponding', 'to', 'excitations', 'of', 'the', 'tachyon', 'field', 'around', 'the', 'brane', 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711.0679 | Restrictions of continuous functions | Given a continuous real-valued function on [0, 1], and a closed subset E
\subset [0, 1] we denote by f E the restriction of f to E, that is, the
function defined only on E that takes the same values as f at every point of E
>. The restriction f E will typically be "better behaved" than f . It may have
bounded variation when f doesn't, it may have a better modulus of continuity
than f, it may be monotone when f is not, etc. All this clearly depends on f
and on E, and the questions that we discuss here are about the existence, for
every f, or every f in some class, of "substantial" sets E such that f E has
bounded total variation, is monotone, or satisfies a given modulus of
continuity. The notion of "substantial" that we use is that of either Hausdorff
or Minkowski dimensions.
| math.CA | given a continuous realvalued function on 0 1 and a closed subset e subset 0 1 we denote by f e the restriction of f to e that is the function defined only on e that takes the same values as f at every point of e the restriction f e will typically be better behaved than f it may have bounded variation when f doesnt it may have a better modulus of continuity than f it may be monotone when f is not etc all this clearly depends on f and on e and the questions that we discuss here are about the existence for every f or every f in some class of substantial sets e such that f e has bounded total variation is monotone or satisfies a given modulus of continuity the notion of substantial that we use is that of either hausdorff or minkowski dimensions | [['given', 'a', 'continuous', 'realvalued', 'function', 'on', '0', '1', 'and', 'a', 'closed', 'subset', 'e', 'subset', '0', '1', 'we', 'denote', 'by', 'f', 'e', 'the', 'restriction', 'of', 'f', 'to', 'e', 'that', 'is', 'the', 'function', 'defined', 'only', 'on', 'e', 'that', 'takes', 'the', 'same', 'values', 'as', 'f', 'at', 'every', 'point', 'of', 'e', 'the', 'restriction', 'f', 'e', 'will', 'typically', 'be', 'better', 'behaved', 'than', 'f', 'it', 'may', 'have', 'bounded', 'variation', 'when', 'f', 'doesnt', 'it', 'may', 'have', 'a', 'better', 'modulus', 'of', 'continuity', 'than', 'f', 'it', 'may', 'be', 'monotone', 'when', 'f', 'is', 'not', 'etc', 'all', 'this', 'clearly', 'depends', 'on', 'f', 'and', 'on', 'e', 'and', 'the', 'questions', 'that', 'we', 'discuss', 'here', 'are', 'about', 'the', 'existence', 'for', 'every', 'f', 'or', 'every', 'f', 'in', 'some', 'class', 'of', 'substantial', 'sets', 'e', 'such', 'that', 'f', 'e', 'has', 'bounded', 'total', 'variation', 'is', 'monotone', 'or', 'satisfies', 'a', 'given', 'modulus', 'of', 'continuity', 'the', 'notion', 'of', 'substantial', 'that', 'we', 'use', 'is', 'that', 'of', 'either', 'hausdorff', 'or', 'minkowski', 'dimensions']] | [-0.1739272382731239, 0.12036148407651732, -0.07328013967722655, 0.013885058735031635, -0.0726066013953338, -0.13468274146318435, 0.04008274075264732, 0.3555887286411598, -0.29475945107638835, -0.23254772326288123, 0.054100666515684376, -0.3026377952409287, -0.10646613757591694, 0.21522996061326316, -0.08748656326284011, 0.001575976308376994, 0.026466665531819065, 0.12322281510569155, -0.08270653764096399, -0.25554015800667307, 0.32094197085748116, -0.05634492998632292, 0.16697945459435384, 0.06794325466578205, 0.09244514761803051, -0.002903363623966773, 0.03304882996094723, 0.04018468659526358, -0.16035367273871087, 0.07222550358623266, 0.18358497354201972, 0.1676979781811436, 0.34811043334193525, -0.34168297800565295, -0.20413715199256938, 0.282705232432733, 0.09837774606111149, -0.08540912004187703, 0.04207780942320824, -0.20955458196500937, 0.17852635448798537, -0.09499162222569188, -0.10245912371824185, -0.06645437441766262, 0.1717508216202259, 0.04206083505259206, -0.3193687046971172, 0.02554628245532513, 0.14117249748669564, 0.04517973326767484, -0.05754768371892472, -0.15707235474139453, -0.11596090216034402, 0.05292243242302599, -0.009563617169236144, 0.19231922081982097, 0.12259453193478596, -0.07684516071497152, -0.04619346315662066, 0.3610142504175504, -0.11406729937007185, -0.2724043483287096, 0.17181873163208367, -0.21632417059503495, -0.1239395170751959, 0.09743267308765402, 0.10122016017014782, 0.15498282926777998, -0.05344729254429694, 0.22101344243817342, -0.10819863428963193, 0.15332614515073753, 0.11342334613514443, 0.015422988602270683, 0.13565047463402152, 0.06570474335923791, 0.15942627711221577, 0.07886645144860571, -0.0165282397903502, 0.0598780432001998, -0.3908561798805992, -0.12853827729200323, -0.21217621862345065, 0.16634745900994555, -0.05357527362774514, -0.17110879364113013, 0.32833411594076706, 0.07358997391459221, 0.22326292628422378, 0.07222867932946732, 0.2077293904994925, 0.15314568389750396, 0.03424304003516833, 0.09130717294911543, 0.14368691118841526, 0.07347599361557514, -0.0025085658176491657, -0.1245941662415862, 0.10634300821460783, 0.054582503080018795] |
711.068 | The strength of the Inner Model Hypothesis | The Inner Model Hypothesis (IMH) and the Strong Inner Model Hypothesis (SIMH)
were introduced by the first author in ``Internal consistency and the inner
model hypothesis'', Bulletin of Symbolic Logic, December 2006.
In this article we establish some upper and lower bounds for their
consistency strength.
| math.LO | the inner model hypothesis imh and the strong inner model hypothesis simh were introduced by the first author in internal consistency and the inner model hypothesis bulletin of symbolic logic december 2006 in this article we establish some upper and lower bounds for their consistency strength | [['the', 'inner', 'model', 'hypothesis', 'imh', 'and', 'the', 'strong', 'inner', 'model', 'hypothesis', 'simh', 'were', 'introduced', 'by', 'the', 'first', 'author', 'in', 'internal', 'consistency', 'and', 'the', 'inner', 'model', 'hypothesis', 'bulletin', 'of', 'symbolic', 'logic', 'december', '2006', 'in', 'this', 'article', 'we', 'establish', 'some', 'upper', 'and', 'lower', 'bounds', 'for', 'their', 'consistency', 'strength']] | [-0.11885848260588117, 0.06046804031357169, -0.08777353347072171, 0.13440997876589084, -0.0784703641715977, -0.1064283137778855, 0.09930564599732558, 0.2994758697226644, -0.22627233971789892, -0.4061560920543141, 0.12479114402085542, -0.18877627927189072, -0.14144862432860666, 0.14204321191646158, -0.07590949154562421, 0.07272687010053132, 0.04112304747104645, 0.012426805434127648, -0.02700440865010023, -0.2691227254199071, 0.2580023735968603, 0.15610423260885808, 0.2599614693886704, 0.04795406863300337, 0.027821607660088274, -0.014661279830357267, -0.07288653153098291, -0.06895741551286644, -0.18785818004980684, 0.15612177294161583, 0.15697583556175232, 0.1676998978273736, 0.2701499837657644, -0.4463038788901435, -0.1377856600822674, 0.07293199650529358, 0.02923905203739802, -0.009368592417902416, 0.04391734448985921, -0.32310736197978257, 0.0692833332137929, -0.249390985402796, -0.10986298609318004, 0.026577817897001903, 0.05310157736142476, -0.02791526647698548, -0.25610305172287756, 0.09314568320082293, 0.21814468892084227, 0.12198090205007854, -0.1235789620420999, -0.09214053097594943, -0.002258005469209618, 0.0928189980590509, 0.05965903963531471, -0.004199342181285222, 0.052875490269313256, -0.05520215125030114, -0.12182953962021403, 0.20764879066911007, -0.06823106486764219, -0.11473905042641692, 0.19389444241921108, -0.15182137809072932, -0.21792030573512117, 0.03179563991725445, 0.17122987351483768, 0.06975542209628556, -0.14755787253121122, 0.16589173874947138, -0.11371164998660485, 0.14491963552104103, 0.12495307597435183, -0.01932154231601291, 0.19234340668966374, 0.09929915108821458, 0.016267412300739022, 0.17283722590655087, -0.09064033389505413, -0.10382673600688577, -0.3581617013861736, -0.16757322312850093, -0.09674870947168933, -0.07906177085306909, -0.0782720942661399, -0.09051447683272676, 0.33952143025688, 0.14503743155962892, 0.17423775874906117, 0.12441786765638325, 0.2869735424562047, 0.10553421986599763, -0.023303523463093574, 0.1307956307919489, 0.3011119048039998, 0.20556151921757393, 0.0700064513211449, -0.14262962660545275, 0.15278974904989204, 0.15289391391496693] |
711.0681 | Kinetic Theory of Plasmas: Translational Energy | In the present contribution, we derive from kinetic theory a unified fluid
model for multicomponent plasmas by accounting for the electromagnetic field
influence. We deal with a possible thermal nonequilibrium of the translational
energy of the particles, neglecting their internal energy and the reactive
collisions. Given the strong disparity of mass between the electrons and heavy
particles, such as molecules, atoms, and ions, we conduct a dimensional
analysis of the Boltzmann equation. We then generalize the Chapman-Enskog
method, emphasizing the role of a multiscale perturbation parameter on the
collisional operator, the streaming operator, and the collisional invariants of
the Boltzmann equation. The system is examined at successive orders of
approximation, each of which corresponding to a physical time scale. The
multicomponent Navier-Stokes regime is reached for the heavy particles, which
follow a hyperbolic scaling, and is coupled to first order drift-diffusion
equations for the electrons, which follow a parabolic scaling. The transport
coefficients exhibit an anisotropic behavior when the magnetic field is strong
enough. We also give a complete description of the Kolesnikov effect, i.e., the
crossed contributions to the mass and energy transport fluxes coupling the
electrons and heavy particles. Finally, the first and second principles of
thermodynamics are proved to be satisfied by deriving a total energy equation
and an entropy equation. Moreover, the system of equations is shown to be
conservative and the purely convective system hyperbolic, thus leading to a
well-defined structure.
| physics.plasm-ph math.AP physics.class-ph | in the present contribution we derive from kinetic theory a unified fluid model for multicomponent plasmas by accounting for the electromagnetic field influence we deal with a possible thermal nonequilibrium of the translational energy of the particles neglecting their internal energy and the reactive collisions given the strong disparity of mass between the electrons and heavy particles such as molecules atoms and ions we conduct a dimensional analysis of the boltzmann equation we then generalize the chapmanenskog method emphasizing the role of a multiscale perturbation parameter on the collisional operator the streaming operator and the collisional invariants of the boltzmann equation the system is examined at successive orders of approximation each of which corresponding to a physical time scale the multicomponent navierstokes regime is reached for the heavy particles which follow a hyperbolic scaling and is coupled to first order driftdiffusion equations for the electrons which follow a parabolic scaling the transport coefficients exhibit an anisotropic behavior when the magnetic field is strong enough we also give a complete description of the kolesnikov effect ie the crossed contributions to the mass and energy transport fluxes coupling the electrons and heavy particles finally the first and second principles of thermodynamics are proved to be satisfied by deriving a total energy equation and an entropy equation moreover the system of equations is shown to be conservative and the purely convective system hyperbolic thus leading to a welldefined structure | [['in', 'the', 'present', 'contribution', 'we', 'derive', 'from', 'kinetic', 'theory', 'a', 'unified', 'fluid', 'model', 'for', 'multicomponent', 'plasmas', 'by', 'accounting', 'for', 'the', 'electromagnetic', 'field', 'influence', 'we', 'deal', 'with', 'a', 'possible', 'thermal', 'nonequilibrium', 'of', 'the', 'translational', 'energy', 'of', 'the', 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711.0682 | First-passage times in complex scale-invariant media | How long does it take a random walker to reach a given target point? This
quantity, known as a first passage time (FPT), has led to a growing number of
theoretical investigations over the last decade1. The importance of FPTs
originates from the crucial role played by first encounter properties in
various real situations, including transport in disordered media, neuron firing
dynamics, spreading of diseases or target search processes. Most methods to
determine the FPT properties in confining domains have been limited to
effective 1D geometries, or for space dimensions larger than one only to
homogeneous media1. Here we propose a general theory which allows one to
accurately evaluate the mean FPT (MFPT) in complex media. Remarkably, this
analytical approach provides a universal scaling dependence of the MFPT on both
the volume of the confining domain and the source-target distance. This
analysis is applicable to a broad range of stochastic processes characterized
by length scale invariant properties. Our theoretical predictions are confirmed
by numerical simulations for several emblematic models of disordered media,
fractals, anomalous diffusion and scale free networks.
| cond-mat.stat-mech cond-mat.dis-nn | how long does it take a random walker to reach a given target point this quantity known as a first passage time fpt has led to a growing number of theoretical investigations over the last decade1 the importance of fpts originates from the crucial role played by first encounter properties in various real situations including transport in disordered media neuron firing dynamics spreading of diseases or target search processes most methods to determine the fpt properties in confining domains have been limited to effective 1d geometries or for space dimensions larger than one only to homogeneous media1 here we propose a general theory which allows one to accurately evaluate the mean fpt mfpt in complex media remarkably this analytical approach provides a universal scaling dependence of the mfpt on both the volume of the confining domain and the sourcetarget distance this analysis is applicable to a broad range of stochastic processes characterized by length scale invariant properties our theoretical predictions are confirmed by numerical simulations for several emblematic models of disordered media fractals anomalous diffusion and scale free networks | [['how', 'long', 'does', 'it', 'take', 'a', 'random', 'walker', 'to', 'reach', 'a', 'given', 'target', 'point', 'this', 'quantity', 'known', 'as', 'a', 'first', 'passage', 'time', 'fpt', 'has', 'led', 'to', 'a', 'growing', 'number', 'of', 'theoretical', 'investigations', 'over', 'the', 'last', 'decade1', 'the', 'importance', 'of', 'fpts', 'originates', 'from', 'the', 'crucial', 'role', 'played', 'by', 'first', 'encounter', 'properties', 'in', 'various', 'real', 'situations', 'including', 'transport', 'in', 'disordered', 'media', 'neuron', 'firing', 'dynamics', 'spreading', 'of', 'diseases', 'or', 'target', 'search', 'processes', 'most', 'methods', 'to', 'determine', 'the', 'fpt', 'properties', 'in', 'confining', 'domains', 'have', 'been', 'limited', 'to', 'effective', '1d', 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0.10756416085220895, -0.18751692963043218, 0.11044262105791099, 0.04186623834456991] |
711.0683 | Ciao? Adios! | At the "New Horizons in Globular Cluster Astronomy" conference (Padova, June
2002), two members of the VLT globular cluster team presented different views
on the importance of heavy-element sedimentation in Population II stars: "The
lack of evidence for depletion of Fe and Li in the atmospheres of globular
cluster subgiants led some people to suspect that, for unknown reasons,
Population II stars are not affected by this mechanism." (Castellani 2003) and
"There should be some mechanism that prevents sedimentation." (Gratton 2003).
In this review, I will argue that the scepticism behind both these statements
is justified. We recently revisited the results on sedimentation in NGC 6397
stars presented by Gratton et al. (2001) using higher-quality VLT/FLAMES-UVES
data (Korn et al. 2006, 2007). Element-specific abundance trends were
identified which agree with atomic-diffusion predictions, if turbulent mixing
below the convective envelope is accounted for in a parametrized way. Have we
thus detected signatures of Atomic Diffusion in Old Stars (ADiOS)? Or are these
trends mere artefacts of Conspiring Inaccuracies in Abundance Observations
(CIAO)?
| astro-ph | at the new horizons in globular cluster astronomy conference padova june 2002 two members of the vlt globular cluster team presented different views on the importance of heavyelement sedimentation in population ii stars the lack of evidence for depletion of fe and li in the atmospheres of globular cluster subgiants led some people to suspect that for unknown reasons population ii stars are not affected by this mechanism castellani 2003 and there should be some mechanism that prevents sedimentation gratton 2003 in this review i will argue that the scepticism behind both these statements is justified we recently revisited the results on sedimentation in ngc 6397 stars presented by gratton et al 2001 using higherquality vltflamesuves data korn et al 2006 2007 elementspecific abundance trends were identified which agree with atomicdiffusion predictions if turbulent mixing below the convective envelope is accounted for in a parametrized way have we thus detected signatures of atomic diffusion in old stars adios or are these trends mere artefacts of conspiring inaccuracies in abundance observations ciao | [['at', 'the', 'new', 'horizons', 'in', 'globular', 'cluster', 'astronomy', 'conference', 'padova', 'june', '2002', 'two', 'members', 'of', 'the', 'vlt', 'globular', 'cluster', 'team', 'presented', 'different', 'views', 'on', 'the', 'importance', 'of', 'heavyelement', 'sedimentation', 'in', 'population', 'ii', 'stars', 'the', 'lack', 'of', 'evidence', 'for', 'depletion', 'of', 'fe', 'and', 'li', 'in', 'the', 'atmospheres', 'of', 'globular', 'cluster', 'subgiants', 'led', 'some', 'people', 'to', 'suspect', 'that', 'for', 'unknown', 'reasons', 'population', 'ii', 'stars', 'are', 'not', 'affected', 'by', 'this', 'mechanism', 'castellani', '2003', 'and', 'there', 'should', 'be', 'some', 'mechanism', 'that', 'prevents', 'sedimentation', 'gratton', '2003', 'in', 'this', 'review', 'i', 'will', 'argue', 'that', 'the', 'scepticism', 'behind', 'both', 'these', 'statements', 'is', 'justified', 'we', 'recently', 'revisited', 'the', 'results', 'on', 'sedimentation', 'in', 'ngc', '6397', 'stars', 'presented', 'by', 'gratton', 'et', 'al', '2001', 'using', 'higherquality', 'vltflamesuves', 'data', 'korn', 'et', 'al', '2006', '2007', 'elementspecific', 'abundance', 'trends', 'were', 'identified', 'which', 'agree', 'with', 'atomicdiffusion', 'predictions', 'if', 'turbulent', 'mixing', 'below', 'the', 'convective', 'envelope', 'is', 'accounted', 'for', 'in', 'a', 'parametrized', 'way', 'have', 'we', 'thus', 'detected', 'signatures', 'of', 'atomic', 'diffusion', 'in', 'old', 'stars', 'adios', 'or', 'are', 'these', 'trends', 'mere', 'artefacts', 'of', 'conspiring', 'inaccuracies', 'in', 'abundance', 'observations', 'ciao']] | [-0.03113008644705748, 0.13099426353514632, -0.07453615306328763, 0.10381079742493217, -0.11426692392047057, -0.07775356111335842, 0.08231951628044686, 0.39275481883874713, -0.1565991754979169, -0.39342665251563574, 0.03867652158951387, -0.26780943084869413, -0.09016317007926238, 0.1731842144697165, -0.15864158769357292, -0.03241734328981051, 0.13925430089070956, -0.13080188411781016, 0.029848070720703723, -0.33081414278815774, 0.27996498928405344, 0.06983553363174638, 0.16696135404464954, -0.029105607357204837, -0.001561396924422725, -0.09590032484437175, -0.11469551656833467, -0.004111488305908792, -0.18182017297739922, 0.0414151532411137, 0.2508733940488823, 0.1637816528296646, 0.23854429004713892, -0.38929146276786925, -0.21202032801469187, 0.015715582353775116, 0.17455500439357233, 0.0891718032735619, -0.09895256237154279, -0.3052745647262782, 0.03259564779342755, -0.1811100121902521, -0.17097168865284937, 0.030358980409801006, 0.11286904486717984, 0.024452124305945986, -0.20300612188327838, 0.1500154874403961, 0.07197806462577051, 0.13798843913108988, -0.10519387119394892, -0.18272960735484958, -0.04162113947848625, 0.07825959787621875, 0.01675152653205099, 0.0013411685317645178, 0.11443062883473057, -0.06673694570028388, -0.07841883116566083, 0.36732420155449824, -0.060966586833819746, 0.0037032719441306063, 0.22264774610452792, -0.15553272711523972, -0.238809350751313, 0.06973585689488306, 0.11955623747780919, 0.09902621364547967, -0.1979927348164732, 0.0600940951906309, -0.05298443192698281, 0.16874128027154844, 0.11406788095722303, -0.020257848043761708, 0.26355738692971714, 0.09005029627313728, -0.04042049012941253, -0.008030084572023685, -0.17426093469976503, -0.08609986147391335, -0.2152587322463446, -0.11989907831611002, -0.1089109201422509, 0.00851496748484137, -0.052401929303339465, -0.11927324272144367, 0.2651219676303513, 0.1363081141238046, 0.16342193807393093, -0.025497272957855945, 0.21758391397238216, 0.04367997616748599, 0.06427260247771355, 0.14415415443808716, 0.3143114508557654, 0.17363342205473387, 0.1562137865283362, -0.2305924549808397, 0.14562995182350277, 0.04349548862836159] |
711.0684 | The Arecibo Galaxy Environment Survey: II. A HI view of the Abell
cluster 1367 and its outskirts | We present 21 cm HI line observations of 5x1 square degrees centered on the
local Abell cluster 1367 obtained as part of the Arecibo Galaxy Environment
Survey. One hundred sources are detected (79 new HI measurements and 50 new
redshifts), more than half belonging to the cluster core and its infalling
region. Combining the HI data with SDSS optical imaging we show that our HI
selected sample follows scaling relations similar to the ones usually observed
in optically selected samples. Interestingly all galaxies in our sample appear
to have nearly the same baryon fraction independently of their size, surface
brightness and luminosity. The most striking difference between HI and
optically selected samples resides in their large scale distribution: whereas
optical and X-ray observations trace the cluster core very well, in HI there is
almost no evidence of the presence of the cluster. Some implications on the
determination of the cluster luminosity function and HI distribution for
samples selected at different wavelength are also discussed.
| astro-ph | we present 21 cm hi line observations of 5x1 square degrees centered on the local abell cluster 1367 obtained as part of the arecibo galaxy environment survey one hundred sources are detected 79 new hi measurements and 50 new redshifts more than half belonging to the cluster core and its infalling region combining the hi data with sdss optical imaging we show that our hi selected sample follows scaling relations similar to the ones usually observed in optically selected samples interestingly all galaxies in our sample appear to have nearly the same baryon fraction independently of their size surface brightness and luminosity the most striking difference between hi and optically selected samples resides in their large scale distribution whereas optical and xray observations trace the cluster core very well in hi there is almost no evidence of the presence of the cluster some implications on the determination of the cluster luminosity function and hi distribution for samples selected at different wavelength are also discussed | [['we', 'present', '21', 'cm', 'hi', 'line', 'observations', 'of', '5x1', 'square', 'degrees', 'centered', 'on', 'the', 'local', 'abell', 'cluster', '1367', 'obtained', 'as', 'part', 'of', 'the', 'arecibo', 'galaxy', 'environment', 'survey', 'one', 'hundred', 'sources', 'are', 'detected', '79', 'new', 'hi', 'measurements', 'and', '50', 'new', 'redshifts', 'more', 'than', 'half', 'belonging', 'to', 'the', 'cluster', 'core', 'and', 'its', 'infalling', 'region', 'combining', 'the', 'hi', 'data', 'with', 'sdss', 'optical', 'imaging', 'we', 'show', 'that', 'our', 'hi', 'selected', 'sample', 'follows', 'scaling', 'relations', 'similar', 'to', 'the', 'ones', 'usually', 'observed', 'in', 'optically', 'selected', 'samples', 'interestingly', 'all', 'galaxies', 'in', 'our', 'sample', 'appear', 'to', 'have', 'nearly', 'the', 'same', 'baryon', 'fraction', 'independently', 'of', 'their', 'size', 'surface', 'brightness', 'and', 'luminosity', 'the', 'most', 'striking', 'difference', 'between', 'hi', 'and', 'optically', 'selected', 'samples', 'resides', 'in', 'their', 'large', 'scale', 'distribution', 'whereas', 'optical', 'and', 'xray', 'observations', 'trace', 'the', 'cluster', 'core', 'very', 'well', 'in', 'hi', 'there', 'is', 'almost', 'no', 'evidence', 'of', 'the', 'presence', 'of', 'the', 'cluster', 'some', 'implications', 'on', 'the', 'determination', 'of', 'the', 'cluster', 'luminosity', 'function', 'and', 'hi', 'distribution', 'for', 'samples', 'selected', 'at', 'different', 'wavelength', 'are', 'also', 'discussed']] | [-0.05150477575612391, 0.06894728019776777, -0.02413035188404071, 0.07259335550309227, -0.07203957038397742, -0.037978234117362286, 0.06863571257719475, 0.4543324035291401, -0.1492164106166456, -0.3524306663198442, 0.09784449789979745, -0.3481698135629569, -0.008059443974095146, 0.18741703940351018, 0.0590905346380612, -0.010665263114255717, 0.02483001718135755, -0.08771548026650236, -0.042555859947020595, -0.2993499264774117, 0.2864703224111553, 0.06232794874671438, 0.23143491817201012, -0.06766156398935425, 0.07919903172722381, -0.07776565675583963, -0.13327052134157316, -0.005901913267912388, -0.1225904948378451, 0.05074036850809779, 0.2544766645530727, 0.12138982835259833, 0.20481622275021835, -0.3338265196080767, -0.14051068358111946, 0.08857278698180779, 0.20817652539486384, 0.0718609113984446, -0.0722992718316474, -0.29895338689391615, 0.062184253521547536, -0.14465451497789017, -0.1953642560771053, 0.07923952197065441, 0.04681106249052214, 0.0537825230403985, -0.1528272736361875, 0.16884546820482482, -0.01828835642450807, 0.11316398270541757, -0.11005338039405349, -0.16411789920941994, -0.0629874017308239, 0.07881434089447395, -0.031168514125832786, 0.06688186360193735, 0.22602197131505464, -0.13974267931757267, 0.028089075545189766, 0.37972250649217154, -0.04466699234044205, 0.029062009852368204, 0.24715941111420894, -0.24770705478419208, -0.18551273662426576, 0.13420045744874742, 0.14227159355948793, 0.05401404060014501, -0.14932751193324603, -0.0066296957815122765, -0.08622046305922927, 0.2509386635430884, 0.05331253316594151, 0.10915736012274709, 0.26960045212266465, 0.06313809369784416, 0.06274248154055918, 0.13170559790053563, -0.2510188483326446, -0.019035214674659073, -0.2629119153872768, -0.06542401422076381, -0.19431181903999503, 0.044865217636248504, -0.13867167616209794, -0.12208847092676102, 0.33589777586947583, 0.10888588552579011, 0.26032778958182373, 0.08352762095136114, 0.2703682200801445, 0.0625355879189844, 0.14698083168775888, 0.09968455629593624, 0.29002220479848867, 0.18326783902011812, 0.07251571696578162, -0.19639960960974837, 0.033735626234840485, -0.04602985227872368] |
711.0685 | NIBLES: an HI census of local SDSS galaxies | NIBLES is a Key Project proposed for the 100m-class Nancay Radio Telescope
(NRT) in France. Its aim is a census of the HI gas content and dynamics of
4,000 Sloan Digital Sky Survey galaxies in the Local Volume (900<cz<12,000
km/s). The galaxies were selected based on their total stellar mass (absolute
z-band magnitude Mz), and are distributed evenly over the entire range of Mz
covered by local SDSS galaxies (-10 to -24 mag, for H0=70 km/s/Mpc). A pilot
survey is being made of over 600 galaxies. NIBLES will be complementary to the
ALFALFA and EBHIS blind HI surveys, which will detect a different ensemble of
local galaxies, and which our pilot survey results indicate will detect about
40-45% of the NIBLES sample. NIBLES is an open collaboration and anyone
interested in the science and willing to contribute to the project is welcome
to join the score of NIBLErS.
| astro-ph | nibles is a key project proposed for the 100mclass nancay radio telescope nrt in france its aim is a census of the hi gas content and dynamics of 4000 sloan digital sky survey galaxies in the local volume 900cz12000 kms the galaxies were selected based on their total stellar mass absolute zband magnitude mz and are distributed evenly over the entire range of mz covered by local sdss galaxies 10 to 24 mag for h070 kmsmpc a pilot survey is being made of over 600 galaxies nibles will be complementary to the alfalfa and ebhis blind hi surveys which will detect a different ensemble of local galaxies and which our pilot survey results indicate will detect about 4045 of the nibles sample nibles is an open collaboration and anyone interested in the science and willing to contribute to the project is welcome to join the score of niblers | [['nibles', 'is', 'a', 'key', 'project', 'proposed', 'for', 'the', '100mclass', 'nancay', 'radio', 'telescope', 'nrt', 'in', 'france', 'its', 'aim', 'is', 'a', 'census', 'of', 'the', 'hi', 'gas', 'content', 'and', 'dynamics', 'of', '4000', 'sloan', 'digital', 'sky', 'survey', 'galaxies', 'in', 'the', 'local', 'volume', '900cz12000', 'kms', 'the', 'galaxies', 'were', 'selected', 'based', 'on', 'their', 'total', 'stellar', 'mass', 'absolute', 'zband', 'magnitude', 'mz', 'and', 'are', 'distributed', 'evenly', 'over', 'the', 'entire', 'range', 'of', 'mz', 'covered', 'by', 'local', 'sdss', 'galaxies', '10', 'to', '24', 'mag', 'for', 'h070', 'kmsmpc', 'a', 'pilot', 'survey', 'is', 'being', 'made', 'of', 'over', '600', 'galaxies', 'nibles', 'will', 'be', 'complementary', 'to', 'the', 'alfalfa', 'and', 'ebhis', 'blind', 'hi', 'surveys', 'which', 'will', 'detect', 'a', 'different', 'ensemble', 'of', 'local', 'galaxies', 'and', 'which', 'our', 'pilot', 'survey', 'results', 'indicate', 'will', 'detect', 'about', '4045', 'of', 'the', 'nibles', 'sample', 'nibles', 'is', 'an', 'open', 'collaboration', 'and', 'anyone', 'interested', 'in', 'the', 'science', 'and', 'willing', 'to', 'contribute', 'to', 'the', 'project', 'is', 'welcome', 'to', 'join', 'the', 'score', 'of', 'niblers']] | [-0.06559272775727247, 0.048366270801832596, -0.05998461255431822, 0.060625119038579416, -0.15503287729289797, -0.014528987854848512, 0.07801616303752074, 0.4150324991852459, -0.13430329480777597, -0.36716087650145507, 0.10740573875389398, -0.3450822769599553, -0.012030578266098423, 0.20696488524036896, -0.05452264409258431, -0.039511951508352974, 0.03487414905167599, -0.1049699032252344, -0.009912194622706415, -0.39162359604637864, 0.2521208722327073, 0.12574124483702084, 0.22900245905394614, -0.07146691323335592, 0.07585507955647902, -0.09442950635275338, -0.2048680024878801, -0.039937884547624786, -0.15459444901595512, 0.053713837137264714, 0.3287172504416149, 0.20571011743029682, 0.28223813806350034, -0.28486537770342896, -0.10148093761462304, 0.0922143307268723, 0.1913698250201479, 0.024675203113777872, -0.028024649689743657, -0.35794660999413785, 0.11205559511614006, -0.17851652353096548, -0.14891285759222228, 0.07300731659375338, 0.015713729793787934, 0.06934278255115107, -0.18809871488338104, 0.10825729222011028, -0.05381078060923351, 0.15707142481308742, -0.076538991558967, -0.1270052024014553, -0.03661118275987166, 0.1342975670866306, -0.07845657418591953, 0.11684284775967374, 0.1937828018821569, -0.12796676291650833, 0.025756946876451064, 0.40735780826718027, -0.04171406675919166, 0.04020008559746202, 0.16015478862755117, -0.1784543332081133, -0.1434485904691327, 0.11028434592541696, 0.21013701995171788, 0.0681059961207211, -0.2257820683104607, 0.01649520190241876, -0.03895370479019928, 0.2598852976419342, 0.027526827098982822, 0.04774777149497014, 0.2903212312149763, 0.08475568045913759, 0.1294051872343213, 0.06192970999957955, -0.2313669208589191, -0.028923491468756564, -0.23549800034379587, -0.12078133882540795, -0.13634808318844685, 0.09200505173713383, -0.05886795507528101, -0.061626441708843537, 0.3893394475000807, 0.12932745741111124, 0.1642106523261949, 0.09689738487294461, 0.32305185890032184, -0.02373485310090473, 0.1491528581585347, 0.0640840757680255, 0.27277378075652653, 0.12310810858131542, 0.1355076811240805, -0.15630560136762345, 0.0011904506827704608, -0.03480045976660525] |
711.0686 | Phenomenology of $\Lambda$-CDM model: a possibility of accelerating
Universe with positive pressure | Among various phenomenological $\Lambda$ models, a time-dependent model $\dot
\Lambda\sim H^3$ is selected here to investigate the $\Lambda$-CDM cosmology.
Using this model the expressions for the time-dependent equation of state
parameter $\omega$ and other physical parameters are derived. It is shown that
in $H^3$ model accelerated expansion of the Universe takes place at negative
energy density, but with a positive pressure. It has also been possible to
obtain the change of sign of the deceleration parameter $q$ during cosmic
evolution.
| gr-qc astro-ph.CO | among various phenomenological lambda models a timedependent model dot lambdasim h3 is selected here to investigate the lambdacdm cosmology using this model the expressions for the timedependent equation of state parameter omega and other physical parameters are derived it is shown that in h3 model accelerated expansion of the universe takes place at negative energy density but with a positive pressure it has also been possible to obtain the change of sign of the deceleration parameter q during cosmic evolution | [['among', 'various', 'phenomenological', 'lambda', 'models', 'a', 'timedependent', 'model', 'dot', 'lambdasim', 'h3', 'is', 'selected', 'here', 'to', 'investigate', 'the', 'lambdacdm', 'cosmology', 'using', 'this', 'model', 'the', 'expressions', 'for', 'the', 'timedependent', 'equation', 'of', 'state', 'parameter', 'omega', 'and', 'other', 'physical', 'parameters', 'are', 'derived', 'it', 'is', 'shown', 'that', 'in', 'h3', 'model', 'accelerated', 'expansion', 'of', 'the', 'universe', 'takes', 'place', 'at', 'negative', 'energy', 'density', 'but', 'with', 'a', 'positive', 'pressure', 'it', 'has', 'also', 'been', 'possible', 'to', 'obtain', 'the', 'change', 'of', 'sign', 'of', 'the', 'deceleration', 'parameter', 'q', 'during', 'cosmic', 'evolution']] | [-0.11864020181383239, 0.13334259571274742, -0.09525103461346589, 0.08035782750084763, -0.07007435804698617, -0.1430783788440749, -0.013018012593965978, 0.3654855046421289, -0.2560759413172491, -0.3162038493668661, 0.03090118155669188, -0.24715498762670904, -0.037875188328325746, 0.17315553951921175, 0.0674758501991164, 0.016559781803516672, -0.0041931869665859265, 0.07797749829478562, -0.04349034003462293, -0.21610908892471342, 0.30850215434329586, 0.09630371790844947, 0.23037222765851767, 0.025030776078347118, 0.13162124529480934, -0.11526583805389237, -0.01231694468879141, 0.009088649204932154, -0.23491354877414777, 0.01861774928183877, 0.17182472833578685, 0.10305369283014443, 0.24696918203262613, -0.379264991148375, -0.2943892348906957, 0.1376790102920495, 0.13200446658593137, 0.12998649056535214, -0.028257994749583303, -0.2439323627622798, 0.018213505391031504, -0.19466975753312, -0.13635314092971385, -0.06377343856729567, 0.08624524117913097, -0.012349784973775969, -0.2672431561339181, 0.15698801266808005, -0.029394992589368486, -0.04874073883984238, -0.11886291753908154, -0.11794287129305303, -0.041135588860197456, 0.07593363861669786, 0.0860630348106497, 0.0664845264836913, 0.12601290810853244, -0.13248848117364104, -0.02500393217196688, 0.3969485125038773, -0.09499327988596633, -0.17593332362885122, 0.12354532391473186, -0.20179742228938266, -0.1420842967228964, 0.09684679438651074, 0.12081098878406919, 0.07679197483230382, -0.13344727616058663, 0.17467315039757522, 0.015632828869274817, 0.15801096173236145, 0.06341485056909732, -0.03281776412841282, 0.19992002651561053, 0.13211846578633413, 0.008928671936155297, 0.0844139254077163, -0.06647408845310565, -0.10816621025514905, -0.33226493005640806, -0.11914027885068208, -0.15561842957977207, 0.05259324628859759, -0.13718897517519507, -0.1620441639341152, 0.35948528641602023, 0.13543233255622908, 0.21558010628214105, -0.014536737720482052, 0.2748222278431058, 0.16482896874658765, 0.010542563296621666, 0.03774170081014745, 0.26648261927766725, 0.12239366670837626, 0.09882758986204862, -0.2611812368792016, 0.0780743349576369, 0.04172029425681103] |
711.0687 | Finitely generated groups with polynomial index growth | We prove that a finitely generated soluble residually finite group has
polynomial index growth if and only if it is a minimax group. We also show that
if a finitely generated group with PIG is residually finite-soluble then it is
a linear group.
These results apply in particular to boundedly generated groups; they imply
that every infinite BG residually finite group has an infinite linear quotient.
| math.GR | we prove that a finitely generated soluble residually finite group has polynomial index growth if and only if it is a minimax group we also show that if a finitely generated group with pig is residually finitesoluble then it is a linear group these results apply in particular to boundedly generated groups they imply that every infinite bg residually finite group has an infinite linear quotient | [['we', 'prove', 'that', 'a', 'finitely', 'generated', 'soluble', 'residually', 'finite', 'group', 'has', 'polynomial', 'index', 'growth', 'if', 'and', 'only', 'if', 'it', 'is', 'a', 'minimax', 'group', 'we', 'also', 'show', 'that', 'if', 'a', 'finitely', 'generated', 'group', 'with', 'pig', 'is', 'residually', 'finitesoluble', 'then', 'it', 'is', 'a', 'linear', 'group', 'these', 'results', 'apply', 'in', 'particular', 'to', 'boundedly', 'generated', 'groups', 'they', 'imply', 'that', 'every', 'infinite', 'bg', 'residually', 'finite', 'group', 'has', 'an', 'infinite', 'linear', 'quotient']] | [-0.09279217689942855, 0.23864791531030696, -0.1913572470156046, 0.04024984834966465, -0.11485025384105169, -0.177089190382797, -0.0435779400742971, 0.47392423243906634, -0.3844838887453079, -0.09410850897144812, 0.160385278517452, -0.29960922732089573, -0.15098364593890998, 0.25791090213908596, -0.1593393871274132, -0.09576467168875612, 0.09379304992751433, 0.1839643374371987, -0.009228189989852791, -0.3620224678459076, 0.3265084652086863, -0.10687336205289914, 0.23260208875513994, 0.05265022683888674, 0.17033869243012026, -0.020689968227480468, 0.00625473577529192, 0.09579356143680903, -0.1389090915263156, 0.0049392648757650304, 0.35785263404250145, 0.051569328926360375, 0.3173830046175191, -0.3184900745798726, -0.18248700962330286, 0.29008514978564703, 0.1462986180702081, 0.00980751088892038, -0.18328263768568062, -0.21704205925074907, 0.24080871673873983, -0.28855406131165534, -0.11236268516916495, -0.04493630496928325, 0.11906283249935279, -0.036147320079796305, -0.24325241506672823, -0.01710515615861648, 0.10487521299375938, 0.10271361028918853, -0.010518622326736267, -0.001870969353386989, -0.10618870132960952, 0.11251341382471415, -0.01234355727568842, -0.03604739566261952, 0.11003326696898931, 0.01571632420214323, -0.10469112924228494, 0.4081734530054606, -0.0919207228347659, -0.2580249575754771, 0.160174554758347, -0.22690258680914457, -0.2154296161248707, 0.14853372401916065, 0.051598769569626224, 0.12622640473911395, 0.01494825712333505, 0.2666688800135699, -0.25215585607175645, 0.18475132492872384, 0.04976164287386032, -0.1099389684243271, 0.02767569093176952, 0.07785439963739078, 0.13486153954783311, 0.11247066745462898, 0.16650881810257068, 0.09689398914432297, -0.34704284083384734, -0.15561024639039087, -0.17119845083484855, 0.08609317605598615, -0.0877528872410319, -0.2160510048735887, 0.34743072353303434, 0.056651824297240146, 0.044782742227499304, 0.16143239131913736, 0.19758151980260244, 0.08771102786637269, 0.0808249505666586, 0.17385009313002228, 0.04267086512767351, 0.20469636813952372, -0.2282502898803124, -0.1478608529513272, -0.00015727284436042492, 0.21749195360506957] |
711.0688 | Statistical correlations in an ideal gas of particles obeying fractional
exclusion statistics | After a brief discussion of the concepts of fractional exchange and
fractional exclusion statistics, we report partly analytical and partly
numerical results on thermodynamic properties of assemblies of particles
obeying fractional exclusion statistics. The effect of dimensionality is one
focal point, the ratio mu/kB T of chemical potential to thermal energy being
obtained numerically as a function of a scaled particle density. Pair
correlation functions are also presented as a function of the statistical
parameter, with `Friedel' oscillations developing close to the fermion limit,
for sufficiently large density.
| cond-mat.str-el cond-mat.mes-hall | after a brief discussion of the concepts of fractional exchange and fractional exclusion statistics we report partly analytical and partly numerical results on thermodynamic properties of assemblies of particles obeying fractional exclusion statistics the effect of dimensionality is one focal point the ratio mukb t of chemical potential to thermal energy being obtained numerically as a function of a scaled particle density pair correlation functions are also presented as a function of the statistical parameter with friedel oscillations developing close to the fermion limit for sufficiently large density | [['after', 'a', 'brief', 'discussion', 'of', 'the', 'concepts', 'of', 'fractional', 'exchange', 'and', 'fractional', 'exclusion', 'statistics', 'we', 'report', 'partly', 'analytical', 'and', 'partly', 'numerical', 'results', 'on', 'thermodynamic', 'properties', 'of', 'assemblies', 'of', 'particles', 'obeying', 'fractional', 'exclusion', 'statistics', 'the', 'effect', 'of', 'dimensionality', 'is', 'one', 'focal', 'point', 'the', 'ratio', 'mukb', 't', 'of', 'chemical', 'potential', 'to', 'thermal', 'energy', 'being', 'obtained', 'numerically', 'as', 'a', 'function', 'of', 'a', 'scaled', 'particle', 'density', 'pair', 'correlation', 'functions', 'are', 'also', 'presented', 'as', 'a', 'function', 'of', 'the', 'statistical', 'parameter', 'with', 'friedel', 'oscillations', 'developing', 'close', 'to', 'the', 'fermion', 'limit', 'for', 'sufficiently', 'large', 'density']] | [-0.13073494997066024, 0.18586609727935866, -0.11342270541618663, 0.08948506307073827, -0.03466658179108477, -0.10806380466304043, 0.09667720072056082, 0.28426998292773287, -0.23770517159507357, -0.31547370042905887, 0.0678040424562906, -0.31268021887676284, -0.10561413956615566, 0.16679647020778662, 0.02434204450533302, 0.07279632047919388, 0.02950698996375484, 0.005790764561176978, -0.07466179537798533, -0.20185848279983143, 0.29134882757419045, 0.09330341104545038, 0.250159864991226, 0.10124333934667944, 0.09441001801116561, 0.011698880007977343, -0.041255960654366805, 0.04225053304584104, -0.16532501885657522, 0.06215618014208634, 0.1915640390176453, 0.007766251669222997, 0.24759308359882032, -0.3899915747302161, -0.18431870385327123, 0.09925341891886835, 0.12517761912683703, 0.07944774557571774, -0.06807847459276672, -0.27132289691574196, 0.02061551788144491, -0.1513106231418946, -0.19148705793883314, -0.06417545704806055, 0.052275787012397566, 0.08295877335000444, -0.25771010491536633, 0.16254091762047293, 0.035087501355023545, 0.05012283598030494, -0.037562391651921316, -0.1783036359755153, -0.02986837188522755, 0.04513679625762796, 0.0432807724137092, -0.027859072317369282, 0.17657867617460646, -0.15243534445868467, -0.09157819563287459, 0.3500124560351568, -0.07426491067003967, -0.22714199827433648, 0.17666982125559694, -0.17768589380218394, -0.10170494448076087, 0.1281173211755231, 0.13995363092875446, 0.06611402340190993, -0.18143440704708072, 0.0713226057321828, 0.0050772637028289455, 0.12635869918614678, 0.04674823032374578, 0.04427739607424221, 0.25415256419430743, 0.1871747714784843, 0.056055629610041666, 0.15591039943815718, -0.10426480234441855, -0.1419011870483783, -0.3403617652260106, -0.1328580095644363, -0.25755607286886184, 0.05287550701442259, -0.10882821854234366, -0.19928965573622423, 0.3598456258504567, 0.11226154056864536, 0.208487383259291, 0.06251260593787512, 0.24564637504359285, 0.18171299451866865, 0.01794888456457887, -0.0176541829185391, 0.19235800638456235, 0.1986045216644098, 0.1196536837590181, -0.23018373181747104, -0.0004492084157060493, 0.07001905243272301] |
711.0689 | Efficient feedback controllers for continuous-time quantum error
correction | We present an efficient approach to continuous-time quantum error correction
that extends the low-dimensional quantum filtering methodology developed by van
Handel and Mabuchi [quant-ph/0511221 (2005)] to include error recovery
operations in the form of real-time quantum feedback. We expect this paradigm
to be useful for systems in which error recovery operations cannot be applied
instantaneously. While we could not find an exact low-dimensional filter that
combined both continuous syndrome measurement and a feedback Hamiltonian
appropriate for error recovery, we developed an approximate reduced-dimensional
model to do so. Simulations of the five-qubit code subjected to the symmetric
depolarizing channel suggests that error correction based on our approximate
filter performs essentially identically to correction based on an exact quantum
dynamical model.
| quant-ph | we present an efficient approach to continuoustime quantum error correction that extends the lowdimensional quantum filtering methodology developed by van handel and mabuchi quantph0511221 2005 to include error recovery operations in the form of realtime quantum feedback we expect this paradigm to be useful for systems in which error recovery operations cannot be applied instantaneously while we could not find an exact lowdimensional filter that combined both continuous syndrome measurement and a feedback hamiltonian appropriate for error recovery we developed an approximate reduceddimensional model to do so simulations of the fivequbit code subjected to the symmetric depolarizing channel suggests that error correction based on our approximate filter performs essentially identically to correction based on an exact quantum dynamical model | [['we', 'present', 'an', 'efficient', 'approach', 'to', 'continuoustime', 'quantum', 'error', 'correction', 'that', 'extends', 'the', 'lowdimensional', 'quantum', 'filtering', 'methodology', 'developed', 'by', 'van', 'handel', 'and', 'mabuchi', 'quantph0511221', '2005', 'to', 'include', 'error', 'recovery', 'operations', 'in', 'the', 'form', 'of', 'realtime', 'quantum', 'feedback', 'we', 'expect', 'this', 'paradigm', 'to', 'be', 'useful', 'for', 'systems', 'in', 'which', 'error', 'recovery', 'operations', 'can', 'not', 'be', 'applied', 'instantaneously', 'while', 'we', 'could', 'not', 'find', 'an', 'exact', 'lowdimensional', 'filter', 'that', 'combined', 'both', 'continuous', 'syndrome', 'measurement', 'and', 'a', 'feedback', 'hamiltonian', 'appropriate', 'for', 'error', 'recovery', 'we', 'developed', 'an', 'approximate', 'reduceddimensional', 'model', 'to', 'do', 'so', 'simulations', 'of', 'the', 'fivequbit', 'code', 'subjected', 'to', 'the', 'symmetric', 'depolarizing', 'channel', 'suggests', 'that', 'error', 'correction', 'based', 'on', 'our', 'approximate', 'filter', 'performs', 'essentially', 'identically', 'to', 'correction', 'based', 'on', 'an', 'exact', 'quantum', 'dynamical', 'model']] | [-0.10639808037388726, 0.03952788826354051, -0.12047272308987855, 0.07899006760479617, -0.03543186533272642, -0.231625565320856, 0.06905764996997636, 0.4036650825135347, -0.2762225903570652, -0.27000033046205, 0.11661172004518326, -0.1960241905640529, -0.19387646659840868, 0.23519129419264956, -0.1298048006871543, 0.13177865484588536, 0.08102446573907744, 0.01515642014535598, -0.10889138919379593, -0.27967831146112887, 0.22555805030944093, 0.13106778708576156, 0.2716333815796661, -0.02668213672904658, 0.09692506096521471, 0.06075213535712296, -0.015200324610908743, -0.007981975091339535, -0.13849891665945085, 0.07722898233024512, 0.2533032592824277, 0.10504721355538409, 0.27222854277009473, -0.4335024162359974, -0.21834083041567512, 0.08029964752495289, 0.14332828106468215, 0.21862440201465605, -0.06731647338929485, -0.31589032473246087, 0.07220920518103267, -0.20695944598429844, -0.03825532311980589, -0.13892950011151178, -0.045762942102150754, -0.043627691268425646, -0.33296521705723986, 0.10425266702542034, 0.10074944874617084, 0.0027358010880836918, -0.031059268458957682, -0.08800361539088503, 0.04728210295018341, 0.15244298216695076, -0.08645275633531709, 0.03802453241303187, 0.15915186607040183, -0.045817904234981215, -0.14688068825141096, 0.3167995874683897, -0.06959157923584756, -0.24478240913766272, 0.13620549246929037, -0.03395472871170951, -0.12251991215122848, 0.141888467751506, 0.20523035358794095, 0.060998815107413666, -0.1778666388963451, 0.06567481523594905, 0.02378136634106646, 0.228850525485923, -0.03381291653240929, 0.02657011438145482, 0.12569693061170958, 0.07802562916087878, 0.10177311943178731, 0.12220295532919592, -0.07128867060493897, -0.1413374999988073, -0.293356376363575, -0.12825761066882738, -0.20986526228581406, 0.07057380276373118, -0.047205834207076094, -0.20582305242409224, 0.33780572111640095, 0.2168215721524751, 0.12653275560626775, 0.07448605442822699, 0.3238391872170624, 0.1207646669540163, 0.05286507364832053, 0.1293361049239375, 0.23228531462304733, 0.13712734242846422, 0.019511364599955932, -0.23997019185535923, 0.044357137766298876, 0.09245882865370196] |
711.069 | Nonparametric Regression, Confidence Regions and Regularization | In this paper we offer a unified approach to the problem of nonparametric
regression on the unit interval. It is based on a universal, honest and
non-asymptotic confidence region which is defined by a set of linear
inequalities involving the values of the functions at the design points.
Interest will typically centre on certain simplest functions in that region
where simplicity can be defined in terms of shape (number of local extremes,
intervals of convexity/concavity) or smoothness (bounds on derivatives) or a
combination of both. Once some form of regularization has been decided upon the
confidence region can be used to provide honest non-asymptotic confidence
bounds which are less informative but conceptually much simpler.
| math.ST stat.ME stat.TH | in this paper we offer a unified approach to the problem of nonparametric regression on the unit interval it is based on a universal honest and nonasymptotic confidence region which is defined by a set of linear inequalities involving the values of the functions at the design points interest will typically centre on certain simplest functions in that region where simplicity can be defined in terms of shape number of local extremes intervals of convexityconcavity or smoothness bounds on derivatives or a combination of both once some form of regularization has been decided upon the confidence region can be used to provide honest nonasymptotic confidence bounds which are less informative but conceptually much simpler | [['in', 'this', 'paper', 'we', 'offer', 'a', 'unified', 'approach', 'to', 'the', 'problem', 'of', 'nonparametric', 'regression', 'on', 'the', 'unit', 'interval', 'it', 'is', 'based', 'on', 'a', 'universal', 'honest', 'and', 'nonasymptotic', 'confidence', 'region', 'which', 'is', 'defined', 'by', 'a', 'set', 'of', 'linear', 'inequalities', 'involving', 'the', 'values', 'of', 'the', 'functions', 'at', 'the', 'design', 'points', 'interest', 'will', 'typically', 'centre', 'on', 'certain', 'simplest', 'functions', 'in', 'that', 'region', 'where', 'simplicity', 'can', 'be', 'defined', 'in', 'terms', 'of', 'shape', 'number', 'of', 'local', 'extremes', 'intervals', 'of', 'convexityconcavity', 'or', 'smoothness', 'bounds', 'on', 'derivatives', 'or', 'a', 'combination', 'of', 'both', 'once', 'some', 'form', 'of', 'regularization', 'has', 'been', 'decided', 'upon', 'the', 'confidence', 'region', 'can', 'be', 'used', 'to', 'provide', 'honest', 'nonasymptotic', 'confidence', 'bounds', 'which', 'are', 'less', 'informative', 'but', 'conceptually', 'much', 'simpler']] | [-0.08215097349653788, 0.05508637364561621, -0.10539414227139532, 0.10031847182044498, -0.10709559921126224, -0.14659011254511906, 0.1039328962950477, 0.3648538558106673, -0.2282359467884689, -0.27776199653581307, 0.1650418353179192, -0.22666979876036444, -0.1091049354658217, 0.2241475591558571, -0.11006829454721842, 0.06434377064132397, -0.003109334038750252, 0.07247216243673679, -0.08314806256614822, -0.29496285659179355, 0.2968666471608326, 0.05452220965781363, 0.24989164996843197, 0.053520405685463755, 0.09121499896016821, 0.0008638832930540829, 0.015785192874701398, 0.020597505219803566, -0.1356184073530976, 0.17015059676180644, 0.27936734239113303, 0.14566011685804514, 0.35693953740165424, -0.3901692122024925, -0.1898797900710059, 0.12312464070457377, 0.16862835023927977, 0.03473299121067516, 0.011507797702379002, -0.2687114176111655, 0.05753080950837517, -0.14577001109392496, -0.06307993001680363, -0.07964353641217346, -0.029954660557243124, 0.005738774255293896, -0.3263897108355243, 0.07907239283157284, 0.04366585787481694, 0.05936143123401787, -0.012163348007832834, -0.13211152057179756, 0.008792945394178102, 0.06863225260831154, 0.0313046287475644, 0.018311667288735248, 0.11934640905932165, -0.08657152116453896, -0.07287673382170237, 0.3224613117707664, -0.023377274144685975, -0.2878385714232041, 0.17227793704481437, -0.17567126042405634, -0.15125566881288888, 0.10020908564655927, 0.21103560110541844, 0.14702720632940008, -0.15325333317741752, 0.11109617438214309, -0.0628835426382067, 0.14193451763620893, 0.08561885179829244, 0.06497178433601859, 0.2009267566006696, 0.12726684431790522, 0.12833899955608344, 0.12811180375508247, -0.05653297772892473, -0.09763664251454827, -0.36174552217779454, -0.09227644625168882, -0.2004094590645349, -0.01964858543585267, -0.13226450265274411, -0.18656083923282527, 0.4040825688913301, 0.11196025520595804, 0.23572763451783543, 0.11695895315017224, 0.2553415903168028, 0.16279694252443733, 0.057041411623031946, 0.06780151254088994, 0.22172957379907052, 0.06882103057292274, -0.008573498127557207, -0.0787855764981686, 0.1526371221213291, 0.09200826164727148] |
711.0691 | Dependence of nucleon properties on pseudoscalar meson masses | We discuss the sensitivity of nucleon properties (mass, magnetic moments and
electromagnetic form factors) on the variation of the pseudoscalar meson masses
in the context of the perturbative chiral quark model. The obtained results are
compared to data and other theoretical predictions.
| hep-ph | we discuss the sensitivity of nucleon properties mass magnetic moments and electromagnetic form factors on the variation of the pseudoscalar meson masses in the context of the perturbative chiral quark model the obtained results are compared to data and other theoretical predictions | [['we', 'discuss', 'the', 'sensitivity', 'of', 'nucleon', 'properties', 'mass', 'magnetic', 'moments', 'and', 'electromagnetic', 'form', 'factors', 'on', 'the', 'variation', 'of', 'the', 'pseudoscalar', 'meson', 'masses', 'in', 'the', 'context', 'of', 'the', 'perturbative', 'chiral', 'quark', 'model', 'the', 'obtained', 'results', 'are', 'compared', 'to', 'data', 'and', 'other', 'theoretical', 'predictions']] | [-0.07809481383966548, 0.20078304648355005, -0.03924941125192812, 0.1325613375797513, -0.08038402808874491, 0.010591049722972371, 0.05330242999341516, 0.3615023357172807, -0.1490506851779563, -0.2830217115226246, -0.019141133966123953, -0.3358900603572173, -0.02625806289281519, 0.14532358713248478, 0.08177399418006341, 0.10282488209417179, 0.04189044676466091, 0.1045057938456358, -0.10898382582568697, -0.1916088367191454, 0.35231323196508346, -0.0072061676265937945, 0.2254285334299008, 0.15817821948301225, -0.007265253194851712, -0.03167662903156486, -0.04366264700712193, -0.048945482376785504, -0.12848711024881118, 0.09879902818994153, 0.1319991788048009, 0.04997475597719174, 0.105580096177402, -0.4190693303410496, -0.147563466647019, 0.04199584950471208, 0.08942182377047304, 0.10810725523957185, -0.05988477788300121, -0.33612247627405895, 0.06385294547570604, -0.18200539666715831, -0.18431542558772934, -0.17939715584119162, -0.0700020854405704, 0.009341426991990634, -0.34450343765673186, 0.1172589913254515, -0.039998688735067844, 0.006661959125527314, -0.11229417124940526, -0.26288004580973867, -0.03462268877774477, 0.07052698369980567, 0.19912767183822802, 0.06232902684825517, 0.1903831739022973, -0.2428781888849612, -0.14337715018718017, 0.4246897328467596, -0.07867480246793657, -0.18491217853789704, 0.10104847814710367, -0.20167124923318624, -0.13782678026750328, 0.07013695677077132, 0.2290883547892528, 0.06428285430939425, -0.1854070568279851, 0.07801755443159934, -0.0446129647371847, 0.15153633128751867, 0.05259706843866124, 0.11605414391184847, 0.2210380053812904, 0.17846580554864236, -0.10949931498838678, 0.03944748560925724, -0.0955470613858086, -0.1030148748042328, -0.3302436109987043, -0.08101022737987694, -0.1263316959541823, 0.012561794370412827, -0.15463616406452188, -0.07973713363476452, 0.4450621309723439, 0.15617774285021283, 0.22533368035441353, 0.04201256676710078, 0.3289641828409263, 0.09982816797370712, 0.07412913028106448, 0.04129776195068622, 0.347898142290346, 0.27070879182290464, 0.11302515091041901, -0.29982232284687815, -0.024983065967847193, 0.06185677459108688] |
711.0692 | On the defence notion | 'Trojan horses', 'logic bombs', 'armoured viruses' and 'cryptovirology' are
terms recalling war gears. In fact, concepts of attack and defence drive the
world of computer virology, which looks like a war universe in an information
society. This war has several shapes, from invasions of a network by worms, to
military and industrial espionage ...
| cs.CR | trojan horses logic bombs armoured viruses and cryptovirology are terms recalling war gears in fact concepts of attack and defence drive the world of computer virology which looks like a war universe in an information society this war has several shapes from invasions of a network by worms to military and industrial espionage | [['trojan', 'horses', 'logic', 'bombs', 'armoured', 'viruses', 'and', 'cryptovirology', 'are', 'terms', 'recalling', 'war', 'gears', 'in', 'fact', 'concepts', 'of', 'attack', 'and', 'defence', 'drive', 'the', 'world', 'of', 'computer', 'virology', 'which', 'looks', 'like', 'a', 'war', 'universe', 'in', 'an', 'information', 'society', 'this', 'war', 'has', 'several', 'shapes', 'from', 'invasions', 'of', 'a', 'network', 'by', 'worms', 'to', 'military', 'and', 'industrial', 'espionage']] | [-0.12163060183092109, 0.11368075153984807, -0.10821731318280382, 0.1006065555386913, -0.07786187527806691, -0.19068684008956518, 0.005436372846575841, 0.2796881615693839, -0.21386346662030467, -0.3088538546976194, 0.16513815572713766, -0.3297773357129322, -0.2745078429931177, 0.16300628636304712, -0.24535563904440627, -0.025783738701270438, 0.01916661868223323, 0.0028094119691061525, 0.14030594925202852, -0.261143640755623, 0.23034125524309446, 0.0027145377101095497, 0.2502839391664514, 0.024470628696089645, 0.0597335723281469, -0.0396539862267673, -0.020417485102782695, -0.01805089299461611, -0.05496406252935247, 0.08625825568330737, 0.36190545567056553, 0.3293813899827172, 0.3824079090131904, -0.4929975282471135, -0.1629630285705097, 0.12581079031498926, 0.11731614058239842, 0.12112584021952846, -0.029128350392159708, -0.40689053263444946, 0.0055161525785290405, -0.2767329831379202, -0.10699600112220307, -0.03902429966958908, 0.10371804944643716, 0.027319171263853897, -0.131111736532371, -0.029756845194705814, 0.054372450688256406, 0.17734798205629834, -0.004303576345643345, -0.07476540538921671, -0.02464691700659833, 0.17004088089221492, 0.054363010662063116, -0.08287775090001612, 0.3206055183402913, -0.19325437074755583, -0.22109079359204703, 0.4215057099343471, 0.04143807742270237, -0.016545599559322, 0.1415362877173806, -0.04147805901296999, -0.11139767580085767, 0.061446094621886625, 0.20685272032992458, 0.04983038720147649, -0.16320491730804415, -0.021092575600256545, 0.007080441129938612, 0.11911041290446553, 0.17714727108524936, -0.053056328785869314, 0.21565067847171482, 0.20711097848724644, 0.01699474978453989, 0.09059451669806017, -0.05267111814739007, -0.2073779315951298, -0.17354027225354793, -0.13684145569414743, -0.09238953197831815, -0.00600406357948229, -0.026831654813371266, -0.1807513284092804, 0.3697167981661997, 0.1493051537435572, 0.07119534992314172, 0.0003110842344368685, 0.30718218464896363, -0.12663689153796098, 0.09308870537382252, 0.06350314676023598, 0.19112743287927136, -0.01793700193476705, 0.2505970258828042, -0.1258811077129377, 0.1631256239225139, 0.0008794817379412223] |
711.0693 | CP and charge asymmetries at CDF | We present CDF results on the branching fractions and time-integrated direct
CP asymmetries for B0 and B0s decay modes into pairs of charmless charged
hadrons (pions or kaons). We report also the first observation of B0s->DsK mode
and the measurement of its branching fraction.
| hep-ex | we present cdf results on the branching fractions and timeintegrated direct cp asymmetries for b0 and b0s decay modes into pairs of charmless charged hadrons pions or kaons we report also the first observation of b0sdsk mode and the measurement of its branching fraction | [['we', 'present', 'cdf', 'results', 'on', 'the', 'branching', 'fractions', 'and', 'timeintegrated', 'direct', 'cp', 'asymmetries', 'for', 'b0', 'and', 'b0s', 'decay', 'modes', 'into', 'pairs', 'of', 'charmless', 'charged', 'hadrons', 'pions', 'or', 'kaons', 'we', 'report', 'also', 'the', 'first', 'observation', 'of', 'b0sdsk', 'mode', 'and', 'the', 'measurement', 'of', 'its', 'branching', 'fraction']] | [-0.10688958064447222, 0.29703972459402544, -0.09093284488893873, 0.037323058431231695, -0.06159883516104242, -0.06576972211126325, 0.17040978850212035, 0.2821954760787099, -0.15392150738558105, -0.17642216436391653, -0.04982296138633649, -0.4019219209656639, 0.07247260117058664, 0.10165979093222251, 0.17472120993878953, 0.12015905109813524, 0.1687469822462908, -0.0620714514516294, -0.027703388669896266, -0.13330078016706678, 0.23231323041444168, -0.05848384785011064, 0.21354536702152516, 0.13272127007719042, -0.018012102086876713, 0.0469253437517774, -0.1548295070438884, -0.04381865672333989, -0.17066963046226044, -0.006278166081756353, 0.12323104555523673, 0.1592272689043501, 0.025552589229719584, -0.3343300781277723, 0.0745916778958121, 0.2557972083734565, 0.22124891305818808, 0.07777142689325088, -0.10698821460882332, -0.4357577007003995, 0.08504529899462711, -0.1581107948170325, -0.010782416043586509, -0.10650008152304001, 0.06426197779906351, -0.07297242370022591, -0.3679218546942223, 0.19795590267059132, -0.058233549125319306, 0.026846750152059073, -0.017470630419137347, -0.3056126230851162, 0.011159801536218025, 0.010001330230341748, 0.16291883969029716, -0.022358778160238683, 0.224250087622813, -0.11419953852025576, -0.25737346843058284, 0.3815376430879845, -0.08187652091755597, -0.18602404399060232, 0.13264541470900523, -0.30765207647887427, -0.18136592408598856, 0.18926877456955438, 0.31039345472357993, 0.09885465134974829, -0.18006288561276917, 0.01768516429272199, -0.0586777713669594, 0.17819186347688354, 0.048831769146111814, 0.1477070099046064, 0.200071974137668, 0.1895394552672325, -0.03551143927629604, 0.09803569761408103, -0.11181980832263308, 0.0011428322556406953, -0.41970331911376657, -0.24280223976631193, -0.021838755088961184, 0.08804631688047287, 0.018800704159603325, -0.05054193285705392, 0.39128143535277177, -0.05432757050838581, 0.3055783100730772, 0.09257882361321948, 0.3538088047833637, 0.06810920742654436, -0.028939705894350312, 0.01735842940505854, 0.37180846795266453, 0.26175395975452526, 0.2224233665823027, -0.33361718197201573, 0.06391240858884398, 0.017591587700989356] |
711.0694 | Performance Bounds for Lambda Policy Iteration and Application to the
Game of Tetris | We consider the discrete-time infinite-horizon optimal control problem
formalized by Markov Decision Processes. We revisit the work of Bertsekas and
Ioffe, that introduced $\lambda$ Policy Iteration, a family of algorithms
parameterized by $\lambda$ that generalizes the standard algorithms Value
Iteration and Policy Iteration, and has some deep connections with the Temporal
Differences algorithm TD($\lambda$) described by Sutton and Barto. We deepen
the original theory developped by the authors by providing convergence rate
bounds which generalize standard bounds for Value Iteration described for
instance by Puterman. Then, the main contribution of this paper is to develop
the theory of this algorithm when it is used in an approximate form and show
that this is sound. Doing so, we extend and unify the separate analyses
developped by Munos for Approximate Value Iteration and Approximate Policy
Iteration. Eventually, we revisit the use of this algorithm in the training of
a Tetris playing controller as originally done by Bertsekas and Ioffe. We
provide an original performance bound that can be applied to such an
undiscounted control problem. Our empirical results are different from those of
Bertsekas and Ioffe (which were originally qualified as "paradoxical" and
"intriguing"), and much more conform to what one would expect from a learning
experiment. We discuss the possible reason for such a difference.
| cs.AI cs.RO | we consider the discretetime infinitehorizon optimal control problem formalized by markov decision processes we revisit the work of bertsekas and ioffe that introduced lambda policy iteration a family of algorithms parameterized by lambda that generalizes the standard algorithms value iteration and policy iteration and has some deep connections with the temporal differences algorithm tdlambda described by sutton and barto we deepen the original theory developped by the authors by providing convergence rate bounds which generalize standard bounds for value iteration described for instance by puterman then the main contribution of this paper is to develop the theory of this algorithm when it is used in an approximate form and show that this is sound doing so we extend and unify the separate analyses developped by munos for approximate value iteration and approximate policy iteration eventually we revisit the use of this algorithm in the training of a tetris playing controller as originally done by bertsekas and ioffe we provide an original performance bound that can be applied to such an undiscounted control problem our empirical results are different from those of bertsekas and ioffe which were originally qualified as paradoxical and intriguing and much more conform to what one would expect from a learning experiment we discuss the possible reason for such a difference | [['we', 'consider', 'the', 'discretetime', 'infinitehorizon', 'optimal', 'control', 'problem', 'formalized', 'by', 'markov', 'decision', 'processes', 'we', 'revisit', 'the', 'work', 'of', 'bertsekas', 'and', 'ioffe', 'that', 'introduced', 'lambda', 'policy', 'iteration', 'a', 'family', 'of', 'algorithms', 'parameterized', 'by', 'lambda', 'that', 'generalizes', 'the', 'standard', 'algorithms', 'value', 'iteration', 'and', 'policy', 'iteration', 'and', 'has', 'some', 'deep', 'connections', 'with', 'the', 'temporal', 'differences', 'algorithm', 'tdlambda', 'described', 'by', 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711.0695 | LHC/ILC interplay for challenging SUSY scenarios | Combined analyses at the Large Hadron Collider and at the International
Linear Collider are important to unravel a difficult region of supersymmetry
that is characterized by scalar SUSY particles with masses around 2 TeV.
Precision measurements of masses, cross sections and forward-backward
asymmetries allow to determine the fundamental supersymmetric parameters even
if only a small part of the spectrum is accessible. Mass constraints for the
heavy particles can be derived.
| hep-ph | combined analyses at the large hadron collider and at the international linear collider are important to unravel a difficult region of supersymmetry that is characterized by scalar susy particles with masses around 2 tev precision measurements of masses cross sections and forwardbackward asymmetries allow to determine the fundamental supersymmetric parameters even if only a small part of the spectrum is accessible mass constraints for the heavy particles can be derived | [['combined', 'analyses', 'at', 'the', 'large', 'hadron', 'collider', 'and', 'at', 'the', 'international', 'linear', 'collider', 'are', 'important', 'to', 'unravel', 'a', 'difficult', 'region', 'of', 'supersymmetry', 'that', 'is', 'characterized', 'by', 'scalar', 'susy', 'particles', 'with', 'masses', 'around', '2', 'tev', 'precision', 'measurements', 'of', 'masses', 'cross', 'sections', 'and', 'forwardbackward', 'asymmetries', 'allow', 'to', 'determine', 'the', 'fundamental', 'supersymmetric', 'parameters', 'even', 'if', 'only', 'a', 'small', 'part', 'of', 'the', 'spectrum', 'is', 'accessible', 'mass', 'constraints', 'for', 'the', 'heavy', 'particles', 'can', 'be', 'derived']] | [-0.08226570043646331, 0.24581924603719796, -0.04832856117614678, 0.15769567629655024, -0.06966647332800287, -0.18271069712936877, -0.03600010336709342, 0.2996110740516867, -0.21303731072694063, -0.3342243147747857, 0.09322085334320686, -0.3064363874095891, 0.05016917735338211, 0.1744631009841604, 0.0736580518835191, 0.08919102235564164, 0.10933160078379192, 0.0067180141640294875, -0.04398010333201715, -0.2117954893436815, 0.28819498123068893, 0.11677122805267573, 0.13485092921847744, 0.11430552938420857, 0.10567892414650747, 0.014390749876786556, -0.034199962439015505, 0.00041448654873030527, -0.12455329958601007, 0.1042868454807571, 0.2788291750209672, 0.06257366330246442, 0.11543748400041036, -0.33804278850023234, -0.09529882743289428, 0.16870893547311425, 0.15802930500025728, 0.09493856891391, -0.05498138171221529, -0.2742589541577867, 0.12041126137067165, -0.16195456996959234, -0.17392121270698097, -0.06740692711568304, 0.008761126601270267, -0.0750898820414607, -0.3338505460215466, 0.08617291278538428, -0.09848444142511913, 0.018839449781392303, 0.0124533169703292, -0.15909074486698954, -0.10641003088759525, 0.026286450560603823, 0.11536851601808198, -0.04298876305775983, 0.2053031032322906, -0.16852433640243752, -0.13433283595534573, 0.41744951009750364, -0.05342997341150684, -0.15176379310765437, 0.18594563255818294, -0.23867075078056327, -0.17983188715630344, 0.17558668890103166, 0.28378904387354853, 0.10463644409153078, -0.19267325141866293, 0.18077610220061616, -0.029559360407958073, 0.22640798887504, 0.06425431662438703, 0.05716818943619728, 0.31753307172496403, 0.20342369064954774, 0.055831702705472705, -0.001039406525835927, -0.09622736609806971, -0.04225921199790069, -0.40132898915825144, -0.09060642956090825, -0.10054391120959605, 0.015078575704579374, -0.046566740363154425, -0.028314740949177315, 0.34890515929686705, 0.08642936278400677, 0.2870726994904024, 0.03463353307119438, 0.28815356205284065, 0.10453754886153287, 0.1321524783810933, 0.048027138100587764, 0.3542336617197309, 0.1589074014054079, 0.1306272772140801, -0.22203884595073758, 0.006645374073247824, 0.04927593351208738] |
711.0696 | 't Hooft vertices, partial quenching, and rooted staggered QCD | We discuss the properties of 't Hooft vertices in partially quenched and
rooted versions of QCD in the continuum. These theories have a physical
subspace, equivalent to ordinary QCD, that is contained within a larger space
that includes many unphysical correlation functions. We find that the 't Hooft
vertices in the physical subspace have the expected form, despite the presence
of unphysical 't Hooft vertices appearing in correlation functions that have an
excess of valence quarks (or ghost quarks). We resolve an apparent paradox that
arises when one uses rooted staggered fermions to study one-flavor QCD, by
showing how, in partially quenched theories, it is possible to have spontaneous
symmetry breaking of a non-anomalous symmetry in finite volume. Using these
results, we demonstrate that arguments recently given by Creutz--claiming to
disprove the validity of rooted staggered QCD--are incorrect. In particular,
the unphysical 't Hooft vertices do not present an obstacle to the recovery of
taste symmetry in the continuum limit.
| hep-lat hep-ph | we discuss the properties of t hooft vertices in partially quenched and rooted versions of qcd in the continuum these theories have a physical subspace equivalent to ordinary qcd that is contained within a larger space that includes many unphysical correlation functions we find that the t hooft vertices in the physical subspace have the expected form despite the presence of unphysical t hooft vertices appearing in correlation functions that have an excess of valence quarks or ghost quarks we resolve an apparent paradox that arises when one uses rooted staggered fermions to study oneflavor qcd by showing how in partially quenched theories it is possible to have spontaneous symmetry breaking of a nonanomalous symmetry in finite volume using these results we demonstrate that arguments recently given by creutzclaiming to disprove the validity of rooted staggered qcdare incorrect in particular the unphysical t hooft vertices do not present an obstacle to the recovery of taste symmetry in the continuum limit | [['we', 'discuss', 'the', 'properties', 'of', 't', 'hooft', 'vertices', 'in', 'partially', 'quenched', 'and', 'rooted', 'versions', 'of', 'qcd', 'in', 'the', 'continuum', 'these', 'theories', 'have', 'a', 'physical', 'subspace', 'equivalent', 'to', 'ordinary', 'qcd', 'that', 'is', 'contained', 'within', 'a', 'larger', 'space', 'that', 'includes', 'many', 'unphysical', 'correlation', 'functions', 'we', 'find', 'that', 'the', 't', 'hooft', 'vertices', 'in', 'the', 'physical', 'subspace', 'have', 'the', 'expected', 'form', 'despite', 'the', 'presence', 'of', 'unphysical', 't', 'hooft', 'vertices', 'appearing', 'in', 'correlation', 'functions', 'that', 'have', 'an', 'excess', 'of', 'valence', 'quarks', 'or', 'ghost', 'quarks', 'we', 'resolve', 'an', 'apparent', 'paradox', 'that', 'arises', 'when', 'one', 'uses', 'rooted', 'staggered', 'fermions', 'to', 'study', 'oneflavor', 'qcd', 'by', 'showing', 'how', 'in', 'partially', 'quenched', 'theories', 'it', 'is', 'possible', 'to', 'have', 'spontaneous', 'symmetry', 'breaking', 'of', 'a', 'nonanomalous', 'symmetry', 'in', 'finite', 'volume', 'using', 'these', 'results', 'we', 'demonstrate', 'that', 'arguments', 'recently', 'given', 'by', 'creutzclaiming', 'to', 'disprove', 'the', 'validity', 'of', 'rooted', 'staggered', 'qcdare', 'incorrect', 'in', 'particular', 'the', 'unphysical', 't', 'hooft', 'vertices', 'do', 'not', 'present', 'an', 'obstacle', 'to', 'the', 'recovery', 'of', 'taste', 'symmetry', 'in', 'the', 'continuum', 'limit']] | [-0.13251884202428657, 0.22912165366473852, -0.07546118718919734, 0.10011388224850208, -0.0808276350527436, -0.08817761735931699, 0.07512264879555972, 0.3831549043106976, -0.185297828656916, -0.2462931752257945, 0.04543882619318423, -0.292414471554228, -0.12108980397888329, 0.008722056654617897, -0.04689328569795088, 0.033001643192919, 0.01996318909156879, 0.020998589222944234, -0.07646485734207827, -0.2540640496789578, 0.34576859188419357, -0.03222708959321055, 0.20304852666899184, 0.14053034584061538, 0.08503718200269379, 0.003947874380841474, -0.0006058515201299156, 0.03203006661360747, -0.06947598825464883, 0.019260106269340917, 0.2213252006994584, 0.05928667071805913, 0.1868807540777658, -0.42059277400633766, -0.21874732552836737, 0.125165771914033, 0.172533474972728, 0.12137417416265116, -0.012197280797777297, -0.24781729386459234, 0.09631862588038173, -0.15262197137256212, -0.17690840808533226, -0.11228776176731232, 0.01423020824448123, -0.08173605121371537, -0.23899391675780562, 0.0818210656642678, 0.06099850169082373, 0.05814567548399673, 0.021871790829589118, -0.1421776028420729, -0.05889414254387346, 0.08271876090192207, 0.10420828673080836, 0.07470209444902508, 0.05778823228467468, -0.1819956412485836, -0.1871927080792375, 0.4009160405213508, -0.06879178149024426, -0.1807931100631345, 0.19971155199293, -0.18504813816280494, -0.19402941956503106, 0.11797994081759118, 0.09265507526011972, 0.119520611946082, -0.15073285397936817, 0.17031586264176118, -0.11183850462931574, 0.155716845199843, 0.10153944285061871, 0.05362169172827013, 0.2101812400984802, 0.08235895355774349, 0.04315391190083332, 0.1431942050315033, 0.0013113476076646697, -0.11794460309953783, -0.3769565354561127, -0.07592154265922212, -0.20220251561509434, 0.07352987551390079, -0.12373307453020095, -0.20143656419366127, 0.31906988494292704, 0.21861045344885957, 0.22091743430782912, 0.03364626631800887, 0.2116758989411866, 0.11043078401067023, 0.11723659360852046, 0.0922255688553228, 0.23121197076066385, 0.1554506487725892, 0.07697141593722981, -0.27832173341899946, -0.022117113535398546, 0.16058481081618775] |
711.0697 | Non-metric gravity: A status report | We review the status of a certain (infinite) class of four-dimensional
generally covariant theories propagating two degrees of freedom that are
formulated without any direct mention of the metric. General relativity itself
(in its Plebanski formulation) belongs to the class, so these theories are
examples of modified gravity. We summarize the current understanding of the
nature of the modification, of the renormalizability properties of these
theories, of their coupling to matter fields, and describe some of their
physical properties.
| gr-qc astro-ph hep-th | we review the status of a certain infinite class of fourdimensional generally covariant theories propagating two degrees of freedom that are formulated without any direct mention of the metric general relativity itself in its plebanski formulation belongs to the class so these theories are examples of modified gravity we summarize the current understanding of the nature of the modification of the renormalizability properties of these theories of their coupling to matter fields and describe some of their physical properties | [['we', 'review', 'the', 'status', 'of', 'a', 'certain', 'infinite', 'class', 'of', 'fourdimensional', 'generally', 'covariant', 'theories', 'propagating', 'two', 'degrees', 'of', 'freedom', 'that', 'are', 'formulated', 'without', 'any', 'direct', 'mention', 'of', 'the', 'metric', 'general', 'relativity', 'itself', 'in', 'its', 'plebanski', 'formulation', 'belongs', 'to', 'the', 'class', 'so', 'these', 'theories', 'are', 'examples', 'of', 'modified', 'gravity', 'we', 'summarize', 'the', 'current', 'understanding', 'of', 'the', 'nature', 'of', 'the', 'modification', 'of', 'the', 'renormalizability', 'properties', 'of', 'these', 'theories', 'of', 'their', 'coupling', 'to', 'matter', 'fields', 'and', 'describe', 'some', 'of', 'their', 'physical', 'properties']] | [-0.1843533499661503, 0.15269774975125455, -0.07874072992089617, 0.07678811254474936, -0.15124341977547995, -0.10390659889701424, -0.025777824243672098, 0.30145563752850213, -0.23804310742246954, -0.31073798668346825, 0.07043842365817886, -0.23708488519268134, -0.18757165626540215, 0.12614408031671862, -0.05501446592373938, 0.004340343435937421, -0.009008818624328964, 0.07652697218228367, -0.13668020211655316, -0.26786114304632985, 0.3686535112925251, 0.012540197167899223, 0.22973816714815418, 0.05459103385234087, 0.09428508868558874, -0.017683200544052865, -0.05200761327920835, 0.053382694002099426, -0.13819099651825323, 0.1381469472588476, 0.18784991702465695, 0.17165035649521065, 0.23017687970607342, -0.43815517994940656, -0.26499830654386103, 0.06981045318932473, 0.04781962303839671, 0.1466279888195516, -0.024430321234785304, -0.2787697023087287, 0.050132412015448644, -0.1791796477959503, -0.2097766207814028, -0.09173839628885064, -0.025252819314740504, -0.00803233164397976, -0.1466871233704158, 0.054341413195634, 0.08619281795329732, 0.020247805654365993, -0.07092283542497861, -0.099618006253002, -0.017823339793595332, 0.10276643004079786, 0.10470161377599675, -0.00851652810727305, 0.11155930455756385, -0.2280522069386855, -0.14547767190710653, 0.4370287074412726, -0.034251453519999225, -0.2574551037948909, 0.221779347594851, -0.14504017144709802, -0.18229708001842793, 0.05341258113968033, 0.1520944761607466, 0.19698651246372847, -0.15545905863606854, 0.16571973370243737, -0.03314784018299247, 0.07895763534345204, 0.03664202280519412, 0.1589392506778299, 0.2739470202617253, 0.07189624732996844, -0.013797171885454202, 0.09428440874937592, 0.02487326830719845, -0.1480593010193751, -0.42896401094673553, -0.1623549559477811, -0.1034723442914318, 0.08439592562934171, -0.104618757617066, -0.17167822261564905, 0.4332926925625416, 0.17766498653896012, 0.09979803299036206, 0.05384104631699716, 0.2145014631007857, 0.08193662833375266, 0.04523790458547352, 0.019073588207741327, 0.30166082267680416, 0.201557890311638, 0.0432191651234922, -0.22523613856468774, -0.021797531820786527, 0.09992349915843032] |
711.0698 | Constraining Nonstandard Neutrino-Electron Interactions | We present a detailed analysis on nonstandard neutrino interactions (NSI)
with electrons including all muon and electron (anti)-neutrino data from
existing accelerators and reactors, in conjunction with the ``neutrino
counting'' data (e- e+ -> nu nu gamma) from the four LEP collaborations. First
we perform a one-parameter-at-a-time analysis, showing how most constraints
improve with respect to previous results reported in the literature. We also
present more robust results where the NSI parameters are allowed to vary freely
in the analysis. We show the importance of combining LEP data with the other
experiments in removing degeneracies in the global analysis constraining
flavor-conserving NSI parameters which, at 90 % and 95 % C.L., must lie within
unique allowed regions. Despite such improved constraints, there is still
substantial room for improvement, posing a big challenge for upcoming
experiments.
| hep-ph | we present a detailed analysis on nonstandard neutrino interactions nsi with electrons including all muon and electron antineutrino data from existing accelerators and reactors in conjunction with the neutrino counting data e e nu nu gamma from the four lep collaborations first we perform a oneparameteratatime analysis showing how most constraints improve with respect to previous results reported in the literature we also present more robust results where the nsi parameters are allowed to vary freely in the analysis we show the importance of combining lep data with the other experiments in removing degeneracies in the global analysis constraining flavorconserving nsi parameters which at 90 and 95 cl must lie within unique allowed regions despite such improved constraints there is still substantial room for improvement posing a big challenge for upcoming experiments | [['we', 'present', 'a', 'detailed', 'analysis', 'on', 'nonstandard', 'neutrino', 'interactions', 'nsi', 'with', 'electrons', 'including', 'all', 'muon', 'and', 'electron', 'antineutrino', 'data', 'from', 'existing', 'accelerators', 'and', 'reactors', 'in', 'conjunction', 'with', 'the', 'neutrino', 'counting', 'data', 'e', 'e', 'nu', 'nu', 'gamma', 'from', 'the', 'four', 'lep', 'collaborations', 'first', 'we', 'perform', 'a', 'oneparameteratatime', 'analysis', 'showing', 'how', 'most', 'constraints', 'improve', 'with', 'respect', 'to', 'previous', 'results', 'reported', 'in', 'the', 'literature', 'we', 'also', 'present', 'more', 'robust', 'results', 'where', 'the', 'nsi', 'parameters', 'are', 'allowed', 'to', 'vary', 'freely', 'in', 'the', 'analysis', 'we', 'show', 'the', 'importance', 'of', 'combining', 'lep', 'data', 'with', 'the', 'other', 'experiments', 'in', 'removing', 'degeneracies', 'in', 'the', 'global', 'analysis', 'constraining', 'flavorconserving', 'nsi', 'parameters', 'which', 'at', '90', 'and', '95', 'cl', 'must', 'lie', 'within', 'unique', 'allowed', 'regions', 'despite', 'such', 'improved', 'constraints', 'there', 'is', 'still', 'substantial', 'room', 'for', 'improvement', 'posing', 'a', 'big', 'challenge', 'for', 'upcoming', 'experiments']] | [-0.0764471514724579, 0.1423292917889038, -0.005119652194521951, 0.10424589316044287, -0.08544871961086534, -0.14044980990224099, 0.11125755708536687, 0.34210508965837366, -0.20217273509190312, -0.34639892377224146, 0.07489806688204052, -0.3554484362763758, -0.03516935850031503, 0.265125387440656, 0.02796724855451923, 0.06012388019918514, 0.1394440739820818, -0.01587212377206515, -0.10756551651977259, -0.23907407908256073, 0.2491004003339824, 0.11525500538751825, 0.2461353216643751, 0.08860184845180456, 0.04570438436548872, -0.022787265140094035, -0.10406128660142991, -0.024083664022272324, -0.1617759433326148, 0.09183822803862236, 0.2621842532699487, 0.13594655977661602, 0.14427581979743853, -0.44020791876463944, -0.17842922079597265, 0.156840683074796, 0.128405874968286, 0.05533328248838403, -0.07715730988991515, -0.30938992306646956, 0.0679542630802456, -0.17690639312642106, -0.06941330165225472, -0.07493195243407297, -0.033089420338737144, -0.021808012936065217, -0.30088068031570836, 0.06854258399285226, -0.02492558592503876, 0.045680051043857146, -0.04328944204012572, -0.21121899607655314, 0.0012494457000511066, 0.08865174312741701, 0.10338008513084065, 0.018125347918404252, 0.11583403190455706, -0.1342247514203475, -0.12428308157819032, 0.3771675740126947, -0.09660448797601666, -0.17215246742747667, 0.18915018525671298, -0.21381089751757965, -0.21552671805265863, 0.10720475763793437, 0.14831272905376092, 0.026620670196863302, -0.15971235751764465, 0.14285893886810425, -0.025108990554061527, 0.17652282075074907, 0.041255033011583765, 0.015024059523209815, 0.19933175145584436, 0.22716909923896422, 0.09243779248053222, 0.00721062230033345, -0.1381244625996635, -0.00018982678111500412, -0.3226269731042153, -0.05250720076844139, -0.07072402086226227, 0.02529903689230737, -0.06533340615620713, -0.05380391731204195, 0.38395138829235587, 0.19504725688513908, 0.23806785502051578, -0.011541515767382358, 0.30682871288100955, 0.033593749257785674, 0.05132926391608274, 0.04233636564347637, 0.30321427208606067, 0.05597324705974178, 0.08111705692513412, -0.19175557477954236, 0.03473974815534271, -0.03600433791760099] |
711.0699 | Lattice gauge theory with staggered fermions: how, where, and why (not) | Many results from lattice QCD of broad importance to particle and nuclear
physics are obtained with 2+1 flavors of staggered sea quarks. In the continuum
limit, staggered fermions yield four species, called tastes. To reduce the
number of tastes to one (per flavor), the simulation employs the fourth root of
the four-taste staggered fermion determinant. This talk surveys evidence in
favor of this procedure, refutes recent criticisms, and reviews recent
algorithmic and technical improvements. Physics results are covered in other
plenary talks.
| hep-lat hep-ph nucl-th | many results from lattice qcd of broad importance to particle and nuclear physics are obtained with 21 flavors of staggered sea quarks in the continuum limit staggered fermions yield four species called tastes to reduce the number of tastes to one per flavor the simulation employs the fourth root of the fourtaste staggered fermion determinant this talk surveys evidence in favor of this procedure refutes recent criticisms and reviews recent algorithmic and technical improvements physics results are covered in other plenary talks | [['many', 'results', 'from', 'lattice', 'qcd', 'of', 'broad', 'importance', 'to', 'particle', 'and', 'nuclear', 'physics', 'are', 'obtained', 'with', '21', 'flavors', 'of', 'staggered', 'sea', 'quarks', 'in', 'the', 'continuum', 'limit', 'staggered', 'fermions', 'yield', 'four', 'species', 'called', 'tastes', 'to', 'reduce', 'the', 'number', 'of', 'tastes', 'to', 'one', 'per', 'flavor', 'the', 'simulation', 'employs', 'the', 'fourth', 'root', 'of', 'the', 'fourtaste', 'staggered', 'fermion', 'determinant', 'this', 'talk', 'surveys', 'evidence', 'in', 'favor', 'of', 'this', 'procedure', 'refutes', 'recent', 'criticisms', 'and', 'reviews', 'recent', 'algorithmic', 'and', 'technical', 'improvements', 'physics', 'results', 'are', 'covered', 'in', 'other', 'plenary', 'talks']] | [-0.09077911523032796, 0.23590411733330033, -0.07547854660308839, 0.0558427433098126, -0.08840094694154865, -0.11469887682225233, 0.08401174293428568, 0.3259337579164608, -0.13709086286088015, -0.34110392114998384, 0.05431729890434876, -0.36183738867165866, -0.0737963758788451, 0.10985920859506515, -0.04600502459194373, 0.02736164467340266, 0.11434171820220387, -0.017176154426034585, -0.0714367751698987, -0.35796544465155883, 0.274146281062039, 0.024833871212638456, 0.27380876233916224, 0.16483600054764086, 0.028197319246828556, -0.00013527748416419382, -0.14584578597849165, -0.029462322644475434, -0.07845773357024163, 0.11555837853639214, 0.23564245389705454, 0.08691257613216653, 0.1860545182451146, -0.4027069679311948, -0.18957974157945748, 0.04007760685995037, 0.12884532565388968, 0.13579658982286483, -0.0421691775770375, -0.27147346963807023, 0.0302597483171633, -0.22534693416529966, -0.19131218304535674, -0.06295718853994284, -0.06319816903797565, 0.00704174394213399, -0.22129387663746322, 0.06623641219863921, 0.006318328361728309, 0.11984711593407908, 0.04272377608849862, -0.31374484098251954, 0.020508682194315356, 0.08626461893688013, 0.1431843959050897, 0.06345549247078137, 0.09745607263535078, -0.1826428493619954, -0.2298182353814259, 0.42984786399720626, -0.060630513783429325, -0.14218024447284364, 0.19174273225283364, -0.16302702498886687, -0.21221666236948453, 0.11840117586213221, 0.1672266755529024, 0.03915738084433991, -0.13063028016714034, 0.07959662823733747, -0.08284150955646678, 0.1764782434904281, 0.06216776247975635, 0.02565978042045493, 0.25591747777789464, 0.1685430501461213, 0.004405280447961694, 0.03531661261243884, -0.00895104448908917, -0.18293764020235817, -0.29348532356505774, -0.08379305906616795, -0.17257222766056657, 0.04148605164646366, -0.05775700026011399, -0.12954381253156397, 0.424467279403298, 0.21056571679928535, 0.10930561017888932, -0.020533622104536603, 0.24281102120243933, 0.017148722928983194, 0.04660633842771252, 0.031320094878290905, 0.20021130595741402, 0.14021688047796488, 0.182242224280389, -0.21407862055621305, -0.08269839039946228, 0.14628286329730425] |
711.07 | Three phases in the evolution of the standard genetic code: how
translation could get started | A primordial genetic code is proposed, having only four codons assigned, GGC
meaning glycine, GAC meaning aspartate/glutamate, GCC meaning alanine-like and
GUC meaning valine-like. Pathways of ambiguity reduction enlarged the codon
repertoire with CUC meaning leucine, AUC meaning isoleucine, ACC meaning
threonine-like and GAG meaning glutamate. Introduction of UNN anticodons, in a
next episode of code evolution in which nonsense elimination was the leading
theme, introduced a family box structure superposed on the original mirror
structure. Finally, growth rate was the leading theme during the remaining
repertoire expansion, explaining the ordered phylogenetic pattern of
aminoacyl-tRNA synthetases. The special role of natural aptamers in the process
is high-lighted, and the error robustness characteristics of the code are shown
to have evolved by way of a stepwise, restricted enlargement of the tRNA
repertoire, instead of by an exhaustive selection process testing myriads of
codes.
| q-bio.PE | a primordial genetic code is proposed having only four codons assigned ggc meaning glycine gac meaning aspartateglutamate gcc meaning alaninelike and guc meaning valinelike pathways of ambiguity reduction enlarged the codon repertoire with cuc meaning leucine auc meaning isoleucine acc meaning threoninelike and gag meaning glutamate introduction of unn anticodons in a next episode of code evolution in which nonsense elimination was the leading theme introduced a family box structure superposed on the original mirror structure finally growth rate was the leading theme during the remaining repertoire expansion explaining the ordered phylogenetic pattern of aminoacyltrna synthetases the special role of natural aptamers in the process is highlighted and the error robustness characteristics of the code are shown to have evolved by way of a stepwise restricted enlargement of the trna repertoire instead of by an exhaustive selection process testing myriads of codes | [['a', 'primordial', 'genetic', 'code', 'is', 'proposed', 'having', 'only', 'four', 'codons', 'assigned', 'ggc', 'meaning', 'glycine', 'gac', 'meaning', 'aspartateglutamate', 'gcc', 'meaning', 'alaninelike', 'and', 'guc', 'meaning', 'valinelike', 'pathways', 'of', 'ambiguity', 'reduction', 'enlarged', 'the', 'codon', 'repertoire', 'with', 'cuc', 'meaning', 'leucine', 'auc', 'meaning', 'isoleucine', 'acc', 'meaning', 'threoninelike', 'and', 'gag', 'meaning', 'glutamate', 'introduction', 'of', 'unn', 'anticodons', 'in', 'a', 'next', 'episode', 'of', 'code', 'evolution', 'in', 'which', 'nonsense', 'elimination', 'was', 'the', 'leading', 'theme', 'introduced', 'a', 'family', 'box', 'structure', 'superposed', 'on', 'the', 'original', 'mirror', 'structure', 'finally', 'growth', 'rate', 'was', 'the', 'leading', 'theme', 'during', 'the', 'remaining', 'repertoire', 'expansion', 'explaining', 'the', 'ordered', 'phylogenetic', 'pattern', 'of', 'aminoacyltrna', 'synthetases', 'the', 'special', 'role', 'of', 'natural', 'aptamers', 'in', 'the', 'process', 'is', 'highlighted', 'and', 'the', 'error', 'robustness', 'characteristics', 'of', 'the', 'code', 'are', 'shown', 'to', 'have', 'evolved', 'by', 'way', 'of', 'a', 'stepwise', 'restricted', 'enlargement', 'of', 'the', 'trna', 'repertoire', 'instead', 'of', 'by', 'an', 'exhaustive', 'selection', 'process', 'testing', 'myriads', 'of', 'codes']] | [-0.10380966339284133, 0.1100567671408525, -0.06660069152033024, 0.08181105454101921, -0.08026161638724134, -0.11783873366810599, 0.07902746066369497, 0.34033531551147356, -0.27809357663521367, -0.28913904787687056, 0.06102442993853839, -0.21839141307983304, -0.19145223819888638, 0.1215479024787889, -0.10115518949987082, 0.021679465176306503, 0.08010891087210473, 0.063722762136455, -0.0023719865189742867, -0.2850430441517247, 0.2664786931807107, 0.14302468320259648, 0.2764833627581379, -0.03516927472295335, 0.10660581451324053, -0.054921741651738215, -0.07425772023971879, -0.04798836846679558, -0.10233982143937236, 0.12815993055565297, 0.2517677933881807, 0.21668699082925263, 0.28481280272418674, -0.34816513313864267, -0.1928129567608346, 0.07396111200923902, 0.1498430063633629, 0.11931991141653164, -0.048534900968873966, -0.2423802983783947, 0.0763468247138127, -0.18041586123400938, -0.07053860129081528, -0.026349999486421145, 0.04782999934370283, -0.029626138883907974, -0.21644719146331431, 0.07904431063437113, 0.11031643560931195, 0.1413047821864309, -0.04395374375243372, -0.1431418232013043, -0.08302578739957871, 0.11710204766896709, 0.05945824185024308, 0.04988057688252497, 0.16127506549211804, -0.07915347282108545, -0.10907989158974893, 0.36101701402701913, -0.0027914247314112573, -0.16744972532445115, 0.14250387343670237, -0.07861775016398544, -0.14581727061291516, 0.15873739246132845, 0.10626303511637732, 0.08058832406939898, -0.17499054285585472, 0.0734106854822004, 0.025601828028957774, 0.1952343794490027, 0.14409686086944093, 0.0210876211449232, 0.21341830248524687, 0.1708855962148786, -0.03343430052198687, 0.14335104956352798, -0.028929881743039853, -0.1373633133709757, -0.24123547469218173, -0.16768646128067788, -0.08778602038476153, 0.019881041710312568, -0.08652575242124501, -0.18970631526330195, 0.40766885667617847, 0.09148600866871948, 0.1656641832308123, 0.03934356038047368, 0.17863603968710307, -0.0025139454086005254, 0.12038124831186023, 0.023720449054219425, 0.11189789366466503, 0.13185819310482835, 0.03702019319196578, -0.24320280271493933, 0.20466410088604384, 0.09620508143039298] |
711.0701 | Arithmetic and Differential Swan Conductors of rank one representations
with finite local monodromy | We consider a complete discrete valuation field of characteristic p, with
possibly non perfect residue field. Let V be a rank one continuous
representation with finite local monodromy of its absolute Galois group. We
will prove that the Arithmetic Swan conductor of V (defined after Kato in
[Kat89] which fits in the more general theory of [AS02] and [AS06]) coincides
with the Differential Swan conductor of the associated differential module
$D^{\dag}(V)$ defined by Kedlaya in [Ked]. This construction is a
generalization to the non perfect residue case of the Fontaine's formalism as
presented in [Tsu98a]. Our method of proof will allow us to give a new
interpretation of the Refined Swan Conductor.
| math.NT | we consider a complete discrete valuation field of characteristic p with possibly non perfect residue field let v be a rank one continuous representation with finite local monodromy of its absolute galois group we will prove that the arithmetic swan conductor of v defined after kato in kat89 which fits in the more general theory of as02 and as06 coincides with the differential swan conductor of the associated differential module ddagv defined by kedlaya in ked this construction is a generalization to the non perfect residue case of the fontaines formalism as presented in tsu98a our method of proof will allow us to give a new interpretation of the refined swan conductor | [['we', 'consider', 'a', 'complete', 'discrete', 'valuation', 'field', 'of', 'characteristic', 'p', 'with', 'possibly', 'non', 'perfect', 'residue', 'field', 'let', 'v', 'be', 'a', 'rank', 'one', 'continuous', 'representation', 'with', 'finite', 'local', 'monodromy', 'of', 'its', 'absolute', 'galois', 'group', 'we', 'will', 'prove', 'that', 'the', 'arithmetic', 'swan', 'conductor', 'of', 'v', 'defined', 'after', 'kato', 'in', 'kat89', 'which', 'fits', 'in', 'the', 'more', 'general', 'theory', 'of', 'as02', 'and', 'as06', 'coincides', 'with', 'the', 'differential', 'swan', 'conductor', 'of', 'the', 'associated', 'differential', 'module', 'ddagv', 'defined', 'by', 'kedlaya', 'in', 'ked', 'this', 'construction', 'is', 'a', 'generalization', 'to', 'the', 'non', 'perfect', 'residue', 'case', 'of', 'the', 'fontaines', 'formalism', 'as', 'presented', 'in', 'tsu98a', 'our', 'method', 'of', 'proof', 'will', 'allow', 'us', 'to', 'give', 'a', 'new', 'interpretation', 'of', 'the', 'refined', 'swan', 'conductor']] | [-0.17472308226447622, 0.02927271429466728, -0.16023693778160436, 0.042506894323034825, -0.09844472003822154, -0.15552608003387244, -0.00042201217947197015, 0.2794489862710655, -0.30687422956400945, -0.23049853724714753, 0.044074518044661976, -0.22437585688361497, -0.10639147873245458, 0.2226718027736539, -0.15601419666172744, -0.02626711299053228, -0.007252814287372003, 0.14605462155740045, -0.07344776128470967, -0.2802783961333857, 0.3430085162301417, -0.001976970099043275, 0.18221874740714572, 0.0215290240403787, 0.07231263294990097, 0.08901870990972792, -0.045351550635820796, 0.029270246431283724, -0.14525446719001756, 0.15743607046761524, 0.2961683054324065, 0.036708074315042, 0.22876141815681325, -0.40202959226531404, -0.17866026906695903, 0.159640442179603, 0.04883971149493531, 0.05666772771744214, -0.015972845764013626, -0.25424827592856486, 0.15828423362843275, -0.20459517556303572, -0.20834451131348578, -0.05291772884464709, 0.044925566304640445, 0.032945165045071986, -0.2724552750772422, 0.011414259493733956, 0.08600844912857653, 0.16611512729130515, -0.09206420598251344, -0.11440029627508615, -0.02157116936145472, 0.025982487772669746, -0.04002370677287821, 0.048034888278762594, 0.06550164836693868, -0.10865111492147722, -0.0960266791680114, 0.34915549859891987, -0.14530942687616796, -0.15996197950765143, 0.09967486980745446, -0.18437573599637808, -0.1021181708201766, 0.15699709568468628, 0.08083247771121074, 0.15558058391221816, -0.04604773545228641, 0.16573244324073666, -0.12409015564915994, 0.09643482367255699, 0.07318670944110534, -0.019221778007585417, 0.1516763564225321, 0.058046348593154246, 0.08828945264707659, 0.12309246427906137, -0.016289987620379705, -0.05193071507970654, -0.3801366500904627, -0.21288834214344468, -0.12641231348807705, 0.14188973345384698, -0.058436716066659254, -0.20790216955573898, 0.42296596021156446, 0.09344259846224406, 0.16767669499255541, 0.09283119917055156, 0.22802500801039077, 0.15390308754448997, 0.03462635310558237, 0.018352756753267946, 0.1079407997916792, 0.24160990274128305, 0.02764077759217297, -0.15866703508861327, -0.00874409790011558, 0.15216751887123578] |
711.0702 | Open Clusters in the log Age vs. M_V plane | In the log Age vs. integrated absolute magnitude (M_V) plane, the open
clusters of the Milky Way form a well-defined band parallel to theoretical
sequences decribing the passive evolution of Simple Stellar Populations and
display a pretty sharp upper threshold in mass (M ~ 2X 10^4 M_{sun}) over a 4
dex range of ages.
| astro-ph | in the log age vs integrated absolute magnitude m_v plane the open clusters of the milky way form a welldefined band parallel to theoretical sequences decribing the passive evolution of simple stellar populations and display a pretty sharp upper threshold in mass m 2x 104 m_sun over a 4 dex range of ages | [['in', 'the', 'log', 'age', 'vs', 'integrated', 'absolute', 'magnitude', 'm_v', 'plane', 'the', 'open', 'clusters', 'of', 'the', 'milky', 'way', 'form', 'a', 'welldefined', 'band', 'parallel', 'to', 'theoretical', 'sequences', 'decribing', 'the', 'passive', 'evolution', 'of', 'simple', 'stellar', 'populations', 'and', 'display', 'a', 'pretty', 'sharp', 'upper', 'threshold', 'in', 'mass', 'm', '2x', '104', 'm_sun', 'over', 'a', '4', 'dex', 'range', 'of', 'ages']] | [-0.11593267942321892, 0.11814244221544491, -0.06300290051039378, 0.13018177281010826, -0.04615155524433643, -0.05104012212733615, 0.13324078717181143, 0.4410241167676055, -0.14644230320667498, -0.44226215266675317, -0.03430568632880612, -0.26303280127357764, 0.030509662832010467, 0.25839092348754966, -0.07119024392104277, -0.02079244160075795, 0.04687475185525024, -0.02709657661968245, -0.10596537689309356, -0.28170862092794674, 0.2138173357530866, -0.0543273711875784, 0.15996434304309692, -0.07017680833924492, 0.044654299871598475, -0.1110071358534525, 0.01749429479241371, -0.07126973152933817, -0.23255691902255113, 0.04106759561669468, 0.2543476070892417, 0.07764483274856829, 0.22504065185785294, -0.28558753754170435, -0.09880611334514436, 0.08933331733042339, 0.2619177895018233, -0.026305873192987352, -0.09498074364338843, -0.19629955276811742, 0.07686374222262288, -0.17697281824460007, -0.19395632197957416, 0.13928514747124798, 0.11365067434303884, -0.031158645092597546, -0.22440164905691626, 0.19380990213732113, 0.010095289262573956, 0.1521487750221738, -0.0771454816842276, -0.17927875541554728, -0.047578551103624536, 0.08252502433990813, -0.08719815277793216, 0.11679444346524212, 0.18775379257100933, -0.12480242462512457, 0.013470335336366915, 0.3445552273319577, -0.11966989139305814, -0.00889528724189215, 0.1645755339941045, -0.1597852861895314, -0.0629432507491899, 0.11202769404944946, 0.15888875002428046, 0.09178973366242815, -0.19372178972171583, 0.07948809895414051, -0.020053804307332578, 0.26528458955109047, 0.07918901926011972, 0.06411699266260806, 0.24461681044326639, 0.14606235185110905, 0.08138140752243828, -0.008170751011315381, -0.11790268708301603, -0.07017519709847446, -0.20312426263853064, -0.12694928173046066, -0.0552580581630914, 0.13675844826832204, -0.23766587063080394, -0.1847142236799283, 0.33896845088445776, 0.10211888946733384, 0.29331441476659953, 0.12699819220787897, 0.2937885531452748, 0.09447459588354488, 0.09980583997698114, 0.14740439581702341, 0.22728083770335564, 0.2193130406942043, 0.04906724810486062, -0.19719164066438405, 0.026067282064413687, -0.019686424683006305] |
711.0703 | Automated supervised classification of variable stars I. Methodology | The fast classification of new variable stars is an important step in making
them available for further research. Selection of science targets from large
databases is much more efficient if they have been classified first. Defining
the classes in terms of physical parameters is also important to get an
unbiased statistical view on the variability mechanisms and the borders of
instability strips. Our goal is twofold: provide an overview of the stellar
variability classes that are presently known, in terms of some relevant stellar
parameters; use the class descriptions obtained as the basis for an automated
`supervised classification' of large databases. Such automated classification
will compare and assign new objects to a set of pre-defined variability
training classes. For every variability class, a literature search was
performed to find as many well-known member stars as possible, or a
considerable subset if too many were present. Next, we searched on-line and
private databases for their light curves in the visible band and performed
period analysis and harmonic fitting. The derived light curve parameters are
used to describe the classes and define the training classifiers. We compared
the performance of different classifiers in terms of percentage of correct
identification, of confusion among classes and of computation time. We describe
how well the classes can be separated using the proposed set of parameters and
how future improvements can be made, based on new large databases such as the
light curves to be assembled by the CoRoT and Kepler space missions.
| astro-ph | the fast classification of new variable stars is an important step in making them available for further research selection of science targets from large databases is much more efficient if they have been classified first defining the classes in terms of physical parameters is also important to get an unbiased statistical view on the variability mechanisms and the borders of instability strips our goal is twofold provide an overview of the stellar variability classes that are presently known in terms of some relevant stellar parameters use the class descriptions obtained as the basis for an automated supervised classification of large databases such automated classification will compare and assign new objects to a set of predefined variability training classes for every variability class a literature search was performed to find as many wellknown member stars as possible or a considerable subset if too many were present next we searched online and private databases for their light curves in the visible band and performed period analysis and harmonic fitting the derived light curve parameters are used to describe the classes and define the training classifiers we compared the performance of different classifiers in terms of percentage of correct identification of confusion among classes and of computation time we describe how well the classes can be separated using the proposed set of parameters and how future improvements can be made based on new large databases such as the light curves to be assembled by the corot and kepler space missions | [['the', 'fast', 'classification', 'of', 'new', 'variable', 'stars', 'is', 'an', 'important', 'step', 'in', 'making', 'them', 'available', 'for', 'further', 'research', 'selection', 'of', 'science', 'targets', 'from', 'large', 'databases', 'is', 'much', 'more', 'efficient', 'if', 'they', 'have', 'been', 'classified', 'first', 'defining', 'the', 'classes', 'in', 'terms', 'of', 'physical', 'parameters', 'is', 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711.0704 | Klein Paradox for Optical Scattering from Excited Targets | The well known Klein paradox for the relativistic Dirac wave equation
consists in the computation of possible ``negative probabilities'' induced by
certain potentials in some regimes of energy. The paradox may be resolved
employing the notion of electron-positron pair production in which the number
of electrons present in a process can increase. The Klein paradox also exists
in Maxwell's equations viewed as the wave equation for photons. In a medium
containing ``inverted energy populations'' of excited atoms, e.g. in a LASER
medium, one may again compute possible ``negative probabilities''. The
resolution of the electromagnetic Klein paradox is that when the atoms decay,
the final state may contain more photons then were contained the initial state.
The optical theorem total cross section for scattering photons from excited
state atoms may then be computed as negative within a frequency band with
matter induced amplification.
| quant-ph | the well known klein paradox for the relativistic dirac wave equation consists in the computation of possible negative probabilities induced by certain potentials in some regimes of energy the paradox may be resolved employing the notion of electronpositron pair production in which the number of electrons present in a process can increase the klein paradox also exists in maxwells equations viewed as the wave equation for photons in a medium containing inverted energy populations of excited atoms eg in a laser medium one may again compute possible negative probabilities the resolution of the electromagnetic klein paradox is that when the atoms decay the final state may contain more photons then were contained the initial state the optical theorem total cross section for scattering photons from excited state atoms may then be computed as negative within a frequency band with matter induced amplification | [['the', 'well', 'known', 'klein', 'paradox', 'for', 'the', 'relativistic', 'dirac', 'wave', 'equation', 'consists', 'in', 'the', 'computation', 'of', 'possible', 'negative', 'probabilities', 'induced', 'by', 'certain', 'potentials', 'in', 'some', 'regimes', 'of', 'energy', 'the', 'paradox', 'may', 'be', 'resolved', 'employing', 'the', 'notion', 'of', 'electronpositron', 'pair', 'production', 'in', 'which', 'the', 'number', 'of', 'electrons', 'present', 'in', 'a', 'process', 'can', 'increase', 'the', 'klein', 'paradox', 'also', 'exists', 'in', 'maxwells', 'equations', 'viewed', 'as', 'the', 'wave', 'equation', 'for', 'photons', 'in', 'a', 'medium', 'containing', 'inverted', 'energy', 'populations', 'of', 'excited', 'atoms', 'eg', 'in', 'a', 'laser', 'medium', 'one', 'may', 'again', 'compute', 'possible', 'negative', 'probabilities', 'the', 'resolution', 'of', 'the', 'electromagnetic', 'klein', 'paradox', 'is', 'that', 'when', 'the', 'atoms', 'decay', 'the', 'final', 'state', 'may', 'contain', 'more', 'photons', 'then', 'were', 'contained', 'the', 'initial', 'state', 'the', 'optical', 'theorem', 'total', 'cross', 'section', 'for', 'scattering', 'photons', 'from', 'excited', 'state', 'atoms', 'may', 'then', 'be', 'computed', 'as', 'negative', 'within', 'a', 'frequency', 'band', 'with', 'matter', 'induced', 'amplification']] | [-0.12245454103439968, 0.2286394923863093, -0.05302061501916655, 0.11210380899882066, -0.04225589632397701, -0.13378868056592388, 0.053595256530942104, 0.33442023409609223, -0.2617430253951272, -0.31228654989710364, -0.00969987685306811, -0.3284660575806465, -0.04418041520345379, 0.17881354585521145, 0.02365032431499829, 0.01804878532871492, 0.0781588709329478, 0.04722960965878422, -0.019823930609125223, -0.17049682377198133, 0.341568576272013, 0.054991347836592874, 0.22221211600773247, 0.08201247593387961, 0.10600081093455206, 0.02699379809528694, 0.029446481020783375, -0.002034371128489434, -0.07107862120279657, 0.034838537652780055, 0.24851502219057628, 0.0750551138214216, 0.23420528254248726, -0.4572644348479283, -0.22999156433695428, 0.10579142562182568, 0.17445173020452887, 0.16721835731886145, -0.06701398388989693, -0.29844850071207424, -0.020649291978309482, -0.15384720429994533, -0.18708162009388105, 0.0036178080620847537, 0.020017854233180553, 0.0005187233254103594, -0.22109892578060988, 0.13062006658296474, 0.022991550783790702, -0.054026451950538644, -0.08162636947195033, -0.07392723173309694, -0.0774890997506101, 0.03215509216554469, 0.006362207138600995, -0.008618345352965342, 0.12084090239106035, -0.14249303046954978, -0.14139302954254804, 0.38386247621875413, -0.07855869221999506, -0.18465494017221662, 0.10777646148393691, -0.16922846949055895, -0.030618552015241707, 0.1860323823089908, 0.14269004263718363, 0.11347840477804273, -0.11095690581110113, 0.05261896774631886, -0.06106350875216123, 0.1445439392340068, 0.17726034425284293, 0.08900020256618851, 0.22273931894320206, 0.09981350479221207, 0.012788639830189272, 0.1267718962167429, -0.08728670717781069, -0.06891530161497222, -0.3306401872771307, -0.17491023601065586, -0.1807122234530537, 0.12687881197349962, -0.03202314847089517, -0.14828150478703245, 0.3573716989206806, 0.08463210128510082, 0.17571029598286875, -0.06955849212630402, 0.29109838722572123, 0.17924488483252607, 0.029635633305895706, 0.053739184369398674, 0.2813584116251867, 0.15340789353383155, 0.09490685600420119, -0.22127583144317892, 0.040369447668306004, 0.04454306919540895] |
711.0705 | Feedback Capacity of the Compound Channel | In this work we find the capacity of a compound finite-state channel with
time-invariant deterministic feedback. The model we consider involves the use
of fixed length block codes. Our achievability result includes a proof of the
existence of a universal decoder for the family of finite-state channels with
feedback. As a consequence of our capacity result, we show that feedback does
not increase the capacity of the compound Gilbert-Elliot channel. Additionally,
we show that for a stationary and uniformly ergodic Markovian channel, if the
compound channel capacity is zero without feedback then it is zero with
feedback. Finally, we use our result on the finite-state channel to show that
the feedback capacity of the memoryless compound channel is given by
$\inf_{\theta} \max_{Q_X} I(X;Y|\theta)$.
| cs.IT math.IT | in this work we find the capacity of a compound finitestate channel with timeinvariant deterministic feedback the model we consider involves the use of fixed length block codes our achievability result includes a proof of the existence of a universal decoder for the family of finitestate channels with feedback as a consequence of our capacity result we show that feedback does not increase the capacity of the compound gilbertelliot channel additionally we show that for a stationary and uniformly ergodic markovian channel if the compound channel capacity is zero without feedback then it is zero with feedback finally we use our result on the finitestate channel to show that the feedback capacity of the memoryless compound channel is given by inf_theta max_q_x ixytheta | [['in', 'this', 'work', 'we', 'find', 'the', 'capacity', 'of', 'a', 'compound', 'finitestate', 'channel', 'with', 'timeinvariant', 'deterministic', 'feedback', 'the', 'model', 'we', 'consider', 'involves', 'the', 'use', 'of', 'fixed', 'length', 'block', 'codes', 'our', 'achievability', 'result', 'includes', 'a', 'proof', 'of', 'the', 'existence', 'of', 'a', 'universal', 'decoder', 'for', 'the', 'family', 'of', 'finitestate', 'channels', 'with', 'feedback', 'as', 'a', 'consequence', 'of', 'our', 'capacity', 'result', 'we', 'show', 'that', 'feedback', 'does', 'not', 'increase', 'the', 'capacity', 'of', 'the', 'compound', 'gilbertelliot', 'channel', 'additionally', 'we', 'show', 'that', 'for', 'a', 'stationary', 'and', 'uniformly', 'ergodic', 'markovian', 'channel', 'if', 'the', 'compound', 'channel', 'capacity', 'is', 'zero', 'without', 'feedback', 'then', 'it', 'is', 'zero', 'with', 'feedback', 'finally', 'we', 'use', 'our', 'result', 'on', 'the', 'finitestate', 'channel', 'to', 'show', 'that', 'the', 'feedback', 'capacity', 'of', 'the', 'memoryless', 'compound', 'channel', 'is', 'given', 'by', 'inf_theta', 'max_q_x', 'ixytheta']] | [-0.19373667029819142, 0.11364397551321113, -0.05808409829623997, -0.0031558969038693856, -0.06681128053072219, -0.23572556872774536, 0.1802284138587614, 0.36834798446701217, -0.30939829093016064, -0.17777205308278402, 0.11763986553899788, -0.23693754201910147, -0.16775861984933726, 0.18207828371717671, -0.08662942879406425, 0.05765007430066665, 0.05060040203776831, 0.127803303708788, -0.01115589136024937, -0.257338081979348, 0.37039887967209023, 0.10219259904697538, 0.27127887182869015, 0.039222066139336674, 0.12339044269174337, 0.02061270393896848, 0.0023133405882011476, -0.04823144895102208, -0.16150621105619697, 0.00532417867022256, 0.255137350053216, 0.12680925918975844, 0.22626132684138914, -0.33360883606753, -0.3013047377501304, 0.08795228808497389, 0.13263491813559086, 0.1513924160351356, -0.09702256350816849, -0.22139318295909713, 0.14972276404538812, -0.23264480192835132, -0.03431809275158836, 0.023886241391301154, -0.08504241597838699, 0.029038894718026616, -0.3630724229112578, 0.04883022976573557, 0.1817017535213381, 0.01150898317185541, -0.07127448457467836, -0.10771474134526215, 0.019631176905628916, 0.16816948264604434, -0.00957155697979033, -0.007873054256197064, 0.09811026486180102, -0.09282662435240734, -0.13625709652745474, 0.2725654578549438, -0.0864750036994034, -0.23568506546628973, 0.16120316410573043, -0.14130166704223182, -0.09022702543685833, 0.15513410414181028, 0.1844654765969608, 0.08344233255678167, -0.16656460845066856, 0.07232980655147306, -0.13555281929826984, 0.2161118675915835, -0.011133206573625406, 0.10480486783587063, 0.10024551904837911, 0.16287338634720072, 0.09959599457603568, 0.25921446484668803, -0.04749666005567026, -0.1612921627665249, -0.32163565472328626, -0.1642031460670599, -0.1850875817151973, 0.07643590292633841, -0.0654783668092326, -0.1385094444034621, 0.2950996529000501, 0.1310201911178107, 0.16928866809078802, 0.18629228345428903, 0.3152076252542126, 0.09963645264118288, 0.03635662433613713, 0.17337225017836316, 0.1725302155537065, 0.1736562751767148, 0.06910588924074546, -0.23532694105233531, 0.12425213077416022, 0.022370783037816484] |
711.0706 | Recent MOST space photometry | The Microvariability and Oscillations of STars (MOST) photometric satellite
has already undertaken more than 64 primary campaigns which include some
clusters and has obtained observations of >850 secondary stars of which ~180
are variable. More than half of the variables pulsate, with the majority being
of B-type. Since 2006 January, MOST has operated with only a single CCD for
both guiding and science. The resulting increase in read-out cadence has
improved precision for the brightest stars. The 2007 light curve for Procyon
confirms the lack of predicted p-modes with photometric amplitudes exceeding 8
ppm as we found in 2004 and 2005. p-modes have been detected in other
solar-type stars as well as pre-main sequence objects, roAp and delta Scuti
variables. g-modes have been detected in a range of slowly pulsating B stars,
Be stars and beta Cephei variables. Differential rotation has been defined for
several spotted solar-type stars and limits set to the albedo of certain
transiting planets and the presence of other perturbing planets. The mission is
expected to continue as long as the experiment operates.
| astro-ph | the microvariability and oscillations of stars most photometric satellite has already undertaken more than 64 primary campaigns which include some clusters and has obtained observations of 850 secondary stars of which 180 are variable more than half of the variables pulsate with the majority being of btype since 2006 january most has operated with only a single ccd for both guiding and science the resulting increase in readout cadence has improved precision for the brightest stars the 2007 light curve for procyon confirms the lack of predicted pmodes with photometric amplitudes exceeding 8 ppm as we found in 2004 and 2005 pmodes have been detected in other solartype stars as well as premain sequence objects roap and delta scuti variables gmodes have been detected in a range of slowly pulsating b stars be stars and beta cephei variables differential rotation has been defined for several spotted solartype stars and limits set to the albedo of certain transiting planets and the presence of other perturbing planets the mission is expected to continue as long as the experiment operates | [['the', 'microvariability', 'and', 'oscillations', 'of', 'stars', 'most', 'photometric', 'satellite', 'has', 'already', 'undertaken', 'more', 'than', '64', 'primary', 'campaigns', 'which', 'include', 'some', 'clusters', 'and', 'has', 'obtained', 'observations', 'of', '850', 'secondary', 'stars', 'of', 'which', '180', 'are', 'variable', 'more', 'than', 'half', 'of', 'the', 'variables', 'pulsate', 'with', 'the', 'majority', 'being', 'of', 'btype', 'since', '2006', 'january', 'most', 'has', 'operated', 'with', 'only', 'a', 'single', 'ccd', 'for', 'both', 'guiding', 'and', 'science', 'the', 'resulting', 'increase', 'in', 'readout', 'cadence', 'has', 'improved', 'precision', 'for', 'the', 'brightest', 'stars', 'the', '2007', 'light', 'curve', 'for', 'procyon', 'confirms', 'the', 'lack', 'of', 'predicted', 'pmodes', 'with', 'photometric', 'amplitudes', 'exceeding', '8', 'ppm', 'as', 'we', 'found', 'in', '2004', 'and', '2005', 'pmodes', 'have', 'been', 'detected', 'in', 'other', 'solartype', 'stars', 'as', 'well', 'as', 'premain', 'sequence', 'objects', 'roap', 'and', 'delta', 'scuti', 'variables', 'gmodes', 'have', 'been', 'detected', 'in', 'a', 'range', 'of', 'slowly', 'pulsating', 'b', 'stars', 'be', 'stars', 'and', 'beta', 'cephei', 'variables', 'differential', 'rotation', 'has', 'been', 'defined', 'for', 'several', 'spotted', 'solartype', 'stars', 'and', 'limits', 'set', 'to', 'the', 'albedo', 'of', 'certain', 'transiting', 'planets', 'and', 'the', 'presence', 'of', 'other', 'perturbing', 'planets', 'the', 'mission', 'is', 'expected', 'to', 'continue', 'as', 'long', 'as', 'the', 'experiment', 'operates']] | [-0.08074697165613162, 0.19348056454179904, -0.049779686461187016, 0.04344487465039359, -0.14893235142426933, -0.10714780298287922, 0.08965872629679802, 0.371788004985458, -0.10784314628782561, -0.41143741897480973, 0.10450414184475644, -0.3255524821710999, -0.03910368648857552, 0.2646301170195437, -0.11666106349541305, 0.05581318091477483, 0.15593531106514488, -0.008582397571917475, 0.008792071205979518, -0.30722354782882044, 0.194760916854247, 0.02822217621740564, 0.07429711856368908, -0.13902452823805944, 0.021635493254394265, -0.09622824685595467, -0.08827605845550034, -0.06518716696849734, -0.11063605226192552, -0.015046903525155543, 0.2621831398741421, 0.13681201875191887, 0.21424998780238932, -0.32177990544712337, -0.2648392981523385, 0.08041133764094678, 0.19756194729473717, -0.009089307750359514, -0.00610922356968151, -0.2854294388641809, 0.10257438706276191, -0.16289423122978375, -0.15357462616932005, -0.008684732730232052, 0.13807232884195564, 0.06152577401996501, -0.2382077341813773, 0.061433707333648696, 0.04841328632036529, 0.20095042198025595, -0.10748866848887002, -0.18183636786626642, -0.07015082762658197, 0.11528143492174772, 0.06814230429034912, 0.10453065705622447, 0.07892697715163652, -0.08885866018291036, -0.05544715719876316, 0.3953281087777183, -0.10735645914456207, -0.003399169289554327, 0.2124779480289126, -0.23760843125966477, -0.18024088018499004, 0.11479019032696545, 0.13986239070862028, 0.18958524187321718, -0.17753532979937303, -0.00328307031353904, 0.02310588260018135, 0.20656788187419817, 0.14319193991700893, 0.09190936371589363, 0.3117230229163911, 0.16227161373395874, 0.03204006525177488, 0.06428524129366302, -0.2898421626101316, -0.039213601414950845, -0.18279718742002127, -0.0963221318377866, -0.10575982659665795, 0.022459851188511498, -0.07168518305600931, -0.12142136674847896, 0.3807832827149643, 0.06969421172098883, 0.13914715289006716, -0.008564823439955122, 0.2540317991785284, 0.11688019353036419, 0.12870785662684706, 0.10800572540242709, 0.37513928730280854, 0.21550453505426181, 0.13140327150875566, -0.1897069032482887, 0.08390311644765111, -0.03459120794504586] |
711.0707 | On T-Duality and Integrability for Strings on AdS Backgrounds | We discuss an interplay between T-duality and integrability for certain
classical non-linear sigma models. In particular, we consider strings on the
AdS_5 x S^5 background and perform T-duality along the four isometry directions
of AdS_5 in the Poincare patch. The T-dual of the AdS_5 sigma model is again a
sigma model on an AdS_5 space. This classical T-duality relation was used in
the recently uncovered connection between light-like Wilson loops and MHV gluon
scattering amplitudes in the strong coupling limit of the AdS/CFT duality. We
show that the explicit coordinate dependence along the T-duality directions of
the associated Lax connection (flat current) can be eliminated by means of a
field dependent gauge transformation. As a result, the gauge equivalent Lax
connection can easily be T-dualized, i.e. written in terms of the dual set of
isometric coordinates. The T-dual Lax connection can be used for the derivation
of infinitely many conserved charges in the T-dual model. Our construction
implies that local (Noether) charges of the original model are mapped to
non-local charges of the T-dual model and vice versa.
| hep-th | we discuss an interplay between tduality and integrability for certain classical nonlinear sigma models in particular we consider strings on the ads_5 x s5 background and perform tduality along the four isometry directions of ads_5 in the poincare patch the tdual of the ads_5 sigma model is again a sigma model on an ads_5 space this classical tduality relation was used in the recently uncovered connection between lightlike wilson loops and mhv gluon scattering amplitudes in the strong coupling limit of the adscft duality we show that the explicit coordinate dependence along the tduality directions of the associated lax connection flat current can be eliminated by means of a field dependent gauge transformation as a result the gauge equivalent lax connection can easily be tdualized ie written in terms of the dual set of isometric coordinates the tdual lax connection can be used for the derivation of infinitely many conserved charges in the tdual model our construction implies that local noether charges of the original model are mapped to nonlocal charges of the tdual model and vice versa | [['we', 'discuss', 'an', 'interplay', 'between', 'tduality', 'and', 'integrability', 'for', 'certain', 'classical', 'nonlinear', 'sigma', 'models', 'in', 'particular', 'we', 'consider', 'strings', 'on', 'the', 'ads_5', 'x', 's5', 'background', 'and', 'perform', 'tduality', 'along', 'the', 'four', 'isometry', 'directions', 'of', 'ads_5', 'in', 'the', 'poincare', 'patch', 'the', 'tdual', 'of', 'the', 'ads_5', 'sigma', 'model', 'is', 'again', 'a', 'sigma', 'model', 'on', 'an', 'ads_5', 'space', 'this', 'classical', 'tduality', 'relation', 'was', 'used', 'in', 'the', 'recently', 'uncovered', 'connection', 'between', 'lightlike', 'wilson', 'loops', 'and', 'mhv', 'gluon', 'scattering', 'amplitudes', 'in', 'the', 'strong', 'coupling', 'limit', 'of', 'the', 'adscft', 'duality', 'we', 'show', 'that', 'the', 'explicit', 'coordinate', 'dependence', 'along', 'the', 'tduality', 'directions', 'of', 'the', 'associated', 'lax', 'connection', 'flat', 'current', 'can', 'be', 'eliminated', 'by', 'means', 'of', 'a', 'field', 'dependent', 'gauge', 'transformation', 'as', 'a', 'result', 'the', 'gauge', 'equivalent', 'lax', 'connection', 'can', 'easily', 'be', 'tdualized', 'ie', 'written', 'in', 'terms', 'of', 'the', 'dual', 'set', 'of', 'isometric', 'coordinates', 'the', 'tdual', 'lax', 'connection', 'can', 'be', 'used', 'for', 'the', 'derivation', 'of', 'infinitely', 'many', 'conserved', 'charges', 'in', 'the', 'tdual', 'model', 'our', 'construction', 'implies', 'that', 'local', 'noether', 'charges', 'of', 'the', 'original', 'model', 'are', 'mapped', 'to', 'nonlocal', 'charges', 'of', 'the', 'tdual', 'model', 'and', 'vice', 'versa']] | [-0.1641450562938496, 0.1376591743759123, -0.06337060999344993, 0.1332153893936572, -0.1245967584159853, -0.1579862716947839, -0.019309393164905812, 0.36471038154755414, -0.23263637265295126, -0.1941334840971087, 0.05022427795083377, -0.2739571065385564, -0.16533887885861476, 0.1006885331393523, -0.07545226032281911, -0.012872825486564569, 0.0001792501817781771, 0.06291816172940824, -0.15961118308785424, -0.24244418889388777, 0.304346257946624, 0.0013672893165788623, 0.3189307080419588, 0.017466726885543446, 0.1559278306321063, 0.03482375685146845, -0.04008546101682809, 0.011726006789471735, -0.07602927226514694, 0.10457665346343112, 0.20195359598644214, 0.07805755194485857, 0.05477734970117218, -0.47099210579324974, -0.1633219374276716, 0.08735446103853749, 0.21052438280416988, 0.10635019658824031, 0.017985708621759595, -0.313920233576569, 0.0013494262945304594, -0.1635943476824885, -0.16444052397495848, -0.08543179178900828, 0.047824758040232146, -0.044923232067794944, -0.19830129832929272, 0.08011132945820248, 0.07494368184399738, 0.024590857688002708, -0.06566015370922644, -0.0194833500394493, -0.11862686372576596, 0.06590637973911297, 0.13800991215648944, 0.117402693123316, 0.11086251549527384, -0.14739049334220294, -0.13843710282739, 0.32725845073124793, -0.06982354782446512, -0.3081886843069237, 0.12304373570519049, -0.11169081512744423, -0.174384753034042, 0.07056951664042041, 0.07960002491344813, 0.14315191621164886, -0.17899295208933816, 0.23433886382734048, -0.07162915395959961, 0.09169206447543556, 0.14607609323686344, 0.028161522164859735, 0.27367467322815836, 0.05614441235286832, 0.04899633950730419, 0.1656768546535194, -0.021884876842613154, -0.11174422951174502, -0.469530461047347, -0.14919836301336278, -0.07653784729655455, 0.12834223001028588, -0.182770675010626, -0.13630000124371539, 0.3748082406655362, 0.1190844170174959, 0.19180215688048224, 0.04610831463144401, 0.1608813089224395, 0.13099606256885257, 0.05575111918798857, 0.04196495288365594, 0.23255616402661616, 0.2054269249574543, 0.05790375291730874, -0.2556499918782822, -0.1280177743389962, 0.22200057288406813] |
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