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709.3835 | Correlated entanglement distillation and the structure of the set of
undistillable states | We consider entanglement distillation under the assumption that the input
states are allowed to be correlated among each other. We hence replace the
usually considered independent and identically-distributed hypothesis by the
weaker assumption of merely having identical reductions. We find that whether a
state is then distillable or not is only a property of these reductions, and
not of the correlations that are present in the input state. This is shown by
establishing an appealing relation between the set of copy-correlated
undistillable states and the standard set of undistillable states: The former
turns out to be the convex hull of the latter. As an example of the usefulness
of our approach to the study of entanglement distillation, we prove a new
activation result, which generalizes earlier findings: it is shown that for
every entangled state and every positive integer k, there exists a
copy-correlated k-undistillable state such that their tensor product is
single-copy distillable. Finally, the relation of our results to the conjecture
about the existence of bound entangled states with a non-positive partial
transpose is discussed.
| quant-ph | we consider entanglement distillation under the assumption that the input states are allowed to be correlated among each other we hence replace the usually considered independent and identicallydistributed hypothesis by the weaker assumption of merely having identical reductions we find that whether a state is then distillable or not is only a property of these reductions and not of the correlations that are present in the input state this is shown by establishing an appealing relation between the set of copycorrelated undistillable states and the standard set of undistillable states the former turns out to be the convex hull of the latter as an example of the usefulness of our approach to the study of entanglement distillation we prove a new activation result which generalizes earlier findings it is shown that for every entangled state and every positive integer k there exists a copycorrelated kundistillable state such that their tensor product is singlecopy distillable finally the relation of our results to the conjecture about the existence of bound entangled states with a nonpositive partial transpose is discussed | [['we', 'consider', 'entanglement', 'distillation', 'under', 'the', 'assumption', 'that', 'the', 'input', 'states', 'are', 'allowed', 'to', 'be', 'correlated', 'among', 'each', 'other', 'we', 'hence', 'replace', 'the', 'usually', 'considered', 'independent', 'and', 'identicallydistributed', 'hypothesis', 'by', 'the', 'weaker', 'assumption', 'of', 'merely', 'having', 'identical', 'reductions', 'we', 'find', 'that', 'whether', 'a', 'state', 'is', 'then', 'distillable', 'or', 'not', 'is', 'only', 'a', 'property', 'of', 'these', 'reductions', 'and', 'not', 'of', 'the', 'correlations', 'that', 'are', 'present', 'in', 'the', 'input', 'state', 'this', 'is', 'shown', 'by', 'establishing', 'an', 'appealing', 'relation', 'between', 'the', 'set', 'of', 'copycorrelated', 'undistillable', 'states', 'and', 'the', 'standard', 'set', 'of', 'undistillable', 'states', 'the', 'former', 'turns', 'out', 'to', 'be', 'the', 'convex', 'hull', 'of', 'the', 'latter', 'as', 'an', 'example', 'of', 'the', 'usefulness', 'of', 'our', 'approach', 'to', 'the', 'study', 'of', 'entanglement', 'distillation', 'we', 'prove', 'a', 'new', 'activation', 'result', 'which', 'generalizes', 'earlier', 'findings', 'it', 'is', 'shown', 'that', 'for', 'every', 'entangled', 'state', 'and', 'every', 'positive', 'integer', 'k', 'there', 'exists', 'a', 'copycorrelated', 'kundistillable', 'state', 'such', 'that', 'their', 'tensor', 'product', 'is', 'singlecopy', 'distillable', 'finally', 'the', 'relation', 'of', 'our', 'results', 'to', 'the', 'conjecture', 'about', 'the', 'existence', 'of', 'bound', 'entangled', 'states', 'with', 'a', 'nonpositive', 'partial', 'transpose', 'is', 'discussed']] | [-0.13282024159347747, 0.15740010384941908, -0.10627442518591709, 0.05232176514698364, -0.008602373799758738, -0.17535849216651042, 0.06602731211935224, 0.33646772768691013, -0.27326157198544465, -0.24928077424330444, 0.10687699554763713, -0.2781451283940703, -0.1362934822080143, 0.16199193842074802, -0.03752450636807487, 0.040917841163624465, 0.0740998787156456, 0.0804875938532253, -0.0610225004232328, -0.27981802585786314, 0.3707588771465181, -0.0006727557254676847, 0.2739169108333473, 0.0876392626545483, 0.0958189139324615, -0.01653556405545223, 0.015460540881733698, 0.01983543682372433, -0.08825842330695415, 0.10302599405216846, 0.25329004450173964, 0.1802901361119146, 0.26892381494372397, -0.37126179012013655, -0.18489442497689876, 0.1640463512305213, 0.08393920271258651, 0.11653726244139238, -0.013478483227295694, -0.2882865885829275, 0.09335364967761241, -0.15195331069635462, -0.10947920187319904, -0.08672783892045076, 0.038914252714864137, -0.044853712971009124, -0.2829719331896939, 0.06961099098265257, 0.13416326401993398, -0.009797886199981573, -0.05386168442147345, -0.11063495476264507, -0.051573133462740256, 0.115260456949633, 0.01959338660509829, 0.020225005483270848, 0.06918175161706455, -0.10434564829391867, -0.1303101381154506, 0.3223028248657697, -0.03424404961914734, -0.234425599943718, 0.18016345863466032, -0.11558580775638165, -0.12970015601436982, 0.0712878896544377, 0.059329269887429884, 0.12581531073491292, -0.1042014909801127, 0.0435948804162721, -0.14234799969320497, 0.19279630367654835, 0.06307138185734036, 0.08748453779777662, 0.1507812864200651, 0.08144119071731365, 0.12549229807637888, 0.205995750924286, -0.00993292319759641, -0.10297717761259055, -0.3482235332940245, -0.19382430139518259, -0.22884108637320413, 0.08852303507968638, -0.047688484712920004, -0.1340915643534457, 0.36324568675167257, 0.1247977210200745, 0.1868380559103205, 0.06965841958366184, 0.24394792472159532, 0.1217641183785658, 0.05103262671638794, 0.10053694215014405, 0.24325550768535112, 0.1462273606093836, -0.007573029197666837, -0.20372612423654218, 0.11366355641552343, 0.03460230376442958] |
709.3836 | Flares from spiral waves by lensing and time-delay amplification? | Episodically accreting black holes are thought to produce flares when a chunk
of particles is accelerated to high velocity near the black hole horizon. This
also seems to be the case of Sagittarius A* in the Galactic Center, where the
broad-band radiation is produced, likely via the synchrotron self-Compton
mechanism. It has been proposed that strong-field gravitational lensing
magnifies the flares. The effect of lensing is generally weak and requires a
fine-tuned geometrical arrangement, which occurs with only a low probability.
However, there are several aspects that make Sagittarius A* a promising target
to reveal strong gravity effects. Unlike type II (obscured) active galaxies,
chances are that a flare is detected at high inclination, which would be
favourable for lensing. Time delays can then significantly influence the
observed flare duration and the form of light-curve profiles. Here we discuss
an idea that the impact of lensing amplification should be considerably
enhanced when the shape of the flaring clump is appropriately elongated in the
form of a spiral wave or a narrow filament, rather than a simple (circular)
spot which we employed previously within the phenomenological `orbiting spot
model'. By parameterizing the emission region in terms of the spiral shape and
contrast, we are able to extend the spot model to more complicated sources. In
the case of spirals, we notice a possibility that more photons reach a distant
observer at the same moment because of interplay between lensing and
light-travel time. The effect is not symmetrical with respect to leading versus
trailing spirals, so in principle the source geometry can be constrained. In
spite of this, the spot model seems to provide entirely adequate framework to
study the currently available data.
| astro-ph | episodically accreting black holes are thought to produce flares when a chunk of particles is accelerated to high velocity near the black hole horizon this also seems to be the case of sagittarius a in the galactic center where the broadband radiation is produced likely via the synchrotron selfcompton mechanism it has been proposed that strongfield gravitational lensing magnifies the flares the effect of lensing is generally weak and requires a finetuned geometrical arrangement which occurs with only a low probability however there are several aspects that make sagittarius a a promising target to reveal strong gravity effects unlike type ii obscured active galaxies chances are that a flare is detected at high inclination which would be favourable for lensing time delays can then significantly influence the observed flare duration and the form of lightcurve profiles here we discuss an idea that the impact of lensing amplification should be considerably enhanced when the shape of the flaring clump is appropriately elongated in the form of a spiral wave or a narrow filament rather than a simple circular spot which we employed previously within the phenomenological orbiting spot model by parameterizing the emission region in terms of the spiral shape and contrast we are able to extend the spot model to more complicated sources in the case of spirals we notice a possibility that more photons reach a distant observer at the same moment because of interplay between lensing and lighttravel time the effect is not symmetrical with respect to leading versus trailing spirals so in principle the source geometry can be constrained in spite of this the spot model seems to provide entirely adequate framework to study the currently available data | [['episodically', 'accreting', 'black', 'holes', 'are', 'thought', 'to', 'produce', 'flares', 'when', 'a', 'chunk', 'of', 'particles', 'is', 'accelerated', 'to', 'high', 'velocity', 'near', 'the', 'black', 'hole', 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709.3837 | The Atiyah--Hitchin bracket for the cubic Nonlinear Schrodinger
equation. IV. the scattering potentials | This is the last in a series of four papers on Poisson formalism for the
cubic nonlinear Schrodinger equation with repulsive nonlinearity. In this paper
we consider scattering potentials.
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709.3838 | Transverse stability of relativistic two-component jets | Context: Astrophysical jets from various sources seem to be stratified, with
a fast inner jet and a slower outer jet. As it is likely that the launching
mechanism for each component is different, their interface will develop
differential rotation, while the outer jet radius represents a second interface
where disruptions may occur. Aims: We explore the stability of stratified,
rotating, relativistic two-component jets, in turn embedded in static
interstellar medium. Methods: In a grid-adaptive relativistic hydrodynamic
simulation with the AMRVAC code, the non-linear azimuthal stability of
two-component relativistic jets is investigated. We simulate until multiple
inner jet rotations have been completed. Results: We find evidence for the
development of an extended shear flow layer between the two jet components,
resulting from the growth of a body mode in the inner jet, Kelvin-Helmholtz
surface modes at their original interface, and their nonlinear interaction.
Both wave modes are excited by acoustic waves which are reflected between the
symmetry axis and the interface of the two jet components. Their interaction
induces the growth of near stationary, counterrotating vortices at the outer
edge of the shear flow layer. The presence of a heavy external jet allows to
slow down their further development, and maintain a collimated flow. At the
outer jet boundary, small-scale Rayleigh-Taylor instabilities develop, without
disrupting the jet configuration. Conclusion: We demonstrate that the
cross-section of two-component relativistic jets, with a heavy, cold outer jet,
is non-linearly stable.
| astro-ph | context astrophysical jets from various sources seem to be stratified with a fast inner jet and a slower outer jet as it is likely that the launching mechanism for each component is different their interface will develop differential rotation while the outer jet radius represents a second interface where disruptions may occur aims we explore the stability of stratified rotating relativistic twocomponent jets in turn embedded in static interstellar medium methods in a gridadaptive relativistic hydrodynamic simulation with the amrvac code the nonlinear azimuthal stability of twocomponent relativistic jets is investigated we simulate until multiple inner jet rotations have been completed results we find evidence for the development of an extended shear flow layer between the two jet components resulting from the growth of a body mode in the inner jet kelvinhelmholtz surface modes at their original interface and their nonlinear interaction both wave modes are excited by acoustic waves which are reflected between the symmetry axis and the interface of the two jet components their interaction induces the growth of near stationary counterrotating vortices at the outer edge of the shear flow layer the presence of a heavy external jet allows to slow down their further development and maintain a collimated flow at the outer jet boundary smallscale rayleightaylor instabilities develop without disrupting the jet configuration conclusion we demonstrate that the crosssection of twocomponent relativistic jets with a heavy cold outer jet is nonlinearly stable | [['context', 'astrophysical', 'jets', 'from', 'various', 'sources', 'seem', 'to', 'be', 'stratified', 'with', 'a', 'fast', 'inner', 'jet', 'and', 'a', 'slower', 'outer', 'jet', 'as', 'it', 'is', 'likely', 'that', 'the', 'launching', 'mechanism', 'for', 'each', 'component', 'is', 'different', 'their', 'interface', 'will', 'develop', 'differential', 'rotation', 'while', 'the', 'outer', 'jet', 'radius', 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709.3839 | Estimating the final spin of a binary black hole coalescence | We present a straightforward approach for estimating the final black hole
spin of a binary black hole coalescence with arbitrary initial masses and
spins. Making some simple assumptions, we estimate the final angular momentum
to be the sum of the individual spins plus the orbital angular momentum of a
test particle orbiting at the last stable orbit around a Kerr black hole with a
spin parameter of the final black hole. The formula we obtain is able to
reproduce with reasonable accuracy the results from available numerical
simulations, but, more importantly, it can be used to investigate what
configurations might give rise to interesting dynamics. In particular, we
discuss scenarios which might give rise to a ``flip'' in the direction of the
total angular momentum of the system. By studying the dependence of the final
spin upon the mass ratio and initial spins we find that our simple approach
suggests that it is not possible to spin-up a black hole to extremal values
through merger scenarios irrespective of the mass ratio of the objects
involved.
| astro-ph gr-qc | we present a straightforward approach for estimating the final black hole spin of a binary black hole coalescence with arbitrary initial masses and spins making some simple assumptions we estimate the final angular momentum to be the sum of the individual spins plus the orbital angular momentum of a test particle orbiting at the last stable orbit around a kerr black hole with a spin parameter of the final black hole the formula we obtain is able to reproduce with reasonable accuracy the results from available numerical simulations but more importantly it can be used to investigate what configurations might give rise to interesting dynamics in particular we discuss scenarios which might give rise to a flip in the direction of the total angular momentum of the system by studying the dependence of the final spin upon the mass ratio and initial spins we find that our simple approach suggests that it is not possible to spinup a black hole to extremal values through merger scenarios irrespective of the mass ratio of the objects involved | [['we', 'present', 'a', 'straightforward', 'approach', 'for', 'estimating', 'the', 'final', 'black', 'hole', 'spin', 'of', 'a', 'binary', 'black', 'hole', 'coalescence', 'with', 'arbitrary', 'initial', 'masses', 'and', 'spins', 'making', 'some', 'simple', 'assumptions', 'we', 'estimate', 'the', 'final', 'angular', 'momentum', 'to', 'be', 'the', 'sum', 'of', 'the', 'individual', 'spins', 'plus', 'the', 'orbital', 'angular', 'momentum', 'of', 'a', 'test', 'particle', 'orbiting', 'at', 'the', 'last', 'stable', 'orbit', 'around', 'a', 'kerr', 'black', 'hole', 'with', 'a', 'spin', 'parameter', 'of', 'the', 'final', 'black', 'hole', 'the', 'formula', 'we', 'obtain', 'is', 'able', 'to', 'reproduce', 'with', 'reasonable', 'accuracy', 'the', 'results', 'from', 'available', 'numerical', 'simulations', 'but', 'more', 'importantly', 'it', 'can', 'be', 'used', 'to', 'investigate', 'what', 'configurations', 'might', 'give', 'rise', 'to', 'interesting', 'dynamics', 'in', 'particular', 'we', 'discuss', 'scenarios', 'which', 'might', 'give', 'rise', 'to', 'a', 'flip', 'in', 'the', 'direction', 'of', 'the', 'total', 'angular', 'momentum', 'of', 'the', 'system', 'by', 'studying', 'the', 'dependence', 'of', 'the', 'final', 'spin', 'upon', 'the', 'mass', 'ratio', 'and', 'initial', 'spins', 'we', 'find', 'that', 'our', 'simple', 'approach', 'suggests', 'that', 'it', 'is', 'not', 'possible', 'to', 'spinup', 'a', 'black', 'hole', 'to', 'extremal', 'values', 'through', 'merger', 'scenarios', 'irrespective', 'of', 'the', 'mass', 'ratio', 'of', 'the', 'objects', 'involved']] | [-0.1307935861557988, 0.12558897387635495, -0.09356282151304185, 0.11487006462711309, -0.0743982932450516, -0.12445879458050643, 0.046664080493418233, 0.3407109970599413, -0.1804407266500805, -0.3447531741751092, 0.0660272167050945, -0.2524724388282214, -0.04563248472442086, 0.21220998134264457, -0.021770992683512826, 0.01124242796038743, 0.08987557540714208, 0.043544437059068256, -0.1432786954410507, -0.23706254082066672, 0.3416803825564317, 0.09216187254126583, 0.17620168978082282, 0.02425914578405874, 0.13252923753378645, 0.039972844516326274, 0.028036670219153167, 0.004768610293311732, -0.18439005740294565, 0.06602205139185702, 0.19428923869771617, 0.09718680881229895, 0.1846402768551239, -0.37040438513537605, -0.1506282293876367, 0.07788233302799719, 0.14589595423745258, 0.19398848282638936, -0.07016284302317737, -0.22735479146840848, 0.06682680955555823, -0.24326750484428236, -0.1830364388407075, -0.07366561439420495, 0.07288468420006601, -0.007687814868986607, -0.2684075616952032, 0.12568344965577125, 0.08193933987324792, -0.09310215028801135, -0.09661772316853914, -0.09239716205679413, -0.08484797625802458, 0.10059127356125308, 0.12733293767752393, 0.04239672088995576, 0.17594174109665411, -0.07891649343605553, -0.11494503470137715, 0.3545133317261934, -0.021432784756512516, -0.20418641982334002, 0.19600264786875674, -0.24106286139626587, -0.09370667530223727, 0.12248701196163893, 0.1914505910021918, 0.17157584490520614, -0.1386155064563666, 0.01706372213882527, -0.02417118787499411, 0.18924368424341081, 0.0780177298241428, 0.058771785558866606, 0.3665230727834361, 0.14167209704406558, 0.04119098989292979, 0.1464442569057324, -0.11195529246436699, -0.09650456245489684, -0.25007963040577513, -0.13297623750354562, -0.1728418986685574, 0.11874608238102935, -0.13710887825632068, -0.12839540927005666, 0.3794687076019389, 0.15624604137082185, 0.2607638745568693, 0.008224775735288858, 0.28288850143551825, 0.10206656136483486, 0.038328114367489306, 0.07842232765629888, 0.3019201528861387, 0.13714567824266852, 0.0879476649926177, -0.26555794085908146, 0.03276775512046048, 0.03412318316953523] |
709.384 | Entanglement Entropy in the Two-Dimensional Random Transverse Field
Ising Model | The scaling behavior of the entanglement entropy in the two-dimensional
random transverse field Ising model is studied numerically through the strong
disordered renormalization group method. We find that the leading term of the
entanglement entropy always scales linearly with the block size. However,
besides this \emph{area law} contribution, we find a subleading logarithmic
correction at the quantum critical point. This correction is discussed from the
point of view of an underlying percolation transition, both at finite and at
zero temperature.
| cond-mat.dis-nn cond-mat.stat-mech quant-ph | the scaling behavior of the entanglement entropy in the twodimensional random transverse field ising model is studied numerically through the strong disordered renormalization group method we find that the leading term of the entanglement entropy always scales linearly with the block size however besides this empharea law contribution we find a subleading logarithmic correction at the quantum critical point this correction is discussed from the point of view of an underlying percolation transition both at finite and at zero temperature | [['the', 'scaling', 'behavior', 'of', 'the', 'entanglement', 'entropy', 'in', 'the', 'twodimensional', 'random', 'transverse', 'field', 'ising', 'model', 'is', 'studied', 'numerically', 'through', 'the', 'strong', 'disordered', 'renormalization', 'group', 'method', 'we', 'find', 'that', 'the', 'leading', 'term', 'of', 'the', 'entanglement', 'entropy', 'always', 'scales', 'linearly', 'with', 'the', 'block', 'size', 'however', 'besides', 'this', 'empharea', 'law', 'contribution', 'we', 'find', 'a', 'subleading', 'logarithmic', 'correction', 'at', 'the', 'quantum', 'critical', 'point', 'this', 'correction', 'is', 'discussed', 'from', 'the', 'point', 'of', 'view', 'of', 'an', 'underlying', 'percolation', 'transition', 'both', 'at', 'finite', 'and', 'at', 'zero', 'temperature']] | [-0.13730518595548347, 0.20308386554988828, -0.11755668637924828, 0.056420858553610745, 0.02933924378885422, -0.16543462176341564, 0.04263049932087597, 0.30937278147321196, -0.28830579220084473, -0.2025764120509848, 0.0552185868829838, -0.34951791091589257, -0.13851631260477007, 0.12633403958461714, 0.03823110504308715, 0.07976615738589317, -0.053407637125928886, 0.08463097118074074, -0.09611292963090819, -0.2219793731899699, 0.33129189567116557, 0.06876155279023806, 0.35311046928400175, 0.12576174726127648, 0.08364133974537254, 0.0019357671670150011, 0.011321724788285793, 0.06768986433162354, -0.16549111251124488, -0.0038326666894135998, 0.20658796838106355, -0.036790518253110346, 0.24385075515601784, -0.34369884259067474, -0.20864815567620099, 0.07399909626401495, 0.13509623832069337, 0.16815991089097224, -0.045306405301380435, -0.2088315553875873, 0.06084878065157682, -0.18790413585084026, -0.18147227627923712, -0.04641099761938676, 0.012361629687075038, -0.04830182775476714, -0.23136914937058464, 0.12691609278554097, 0.07054832142894156, 0.08294423923362046, 0.018114044531830586, -0.04395557239186019, -0.019915579952066765, 0.12924870495917276, 0.07915784302604152, 0.05290131384390406, 0.14377904386492446, -0.15390894525044133, -0.09974541124684037, 0.3459637099294923, -0.05841506082797423, -0.14789008155930788, 0.13958777609514073, -0.1804400781635195, -0.13530564414686524, 0.14848476312472486, 0.13011768073483837, 0.0900641409633863, -0.1195151639985852, 0.13416282785401562, 0.009657712560147047, 0.16449526532742312, -0.008198974339757114, 0.03885851150262169, 0.194291625614278, 0.1145440063206479, 0.07264677769271657, 0.21869755228981375, -0.1002277246210724, -0.18943598833866418, -0.3670447675744072, -0.12100496523780749, -0.2464563923655078, 0.08199578049825504, -0.20086946893115964, -0.21196806544903665, 0.3773469197389204, 0.16653552489588036, 0.19803563336608931, 0.101906977314502, 0.2488353857130278, 0.1756062466876756, 0.07780130067840219, 0.11307684042840264, 0.2378637701156549, 0.12542664837965276, 0.10256035554339178, -0.3090415682963794, 0.019519766030134632, 0.12834080253669528] |
709.3841 | Inverse-Compton emission from halos around stars | Inverse Compton scattering by relativistic electrons produces a major
component of the diffuse emission from the Galaxy. The photon fields involved
are the cosmic microwave background and the interstellar radiation field from
stars and dust. Calculations of the inverse Compton distribution have usually
assumed a smooth ISRF, but in fact a large part of the Galactic luminosity
comes from the most luminous stars which are rare. Therefore we expect the
ISRF, and hence the inverse Compton emission, to be clumpy. We also show that
some of the most luminous stars may be visible to GLAST. In this paper we give
an update on our previous work including examples of the intensity distribution
around stars, and the predicted spectrum of Cygnus OB2.
| astro-ph | inverse compton scattering by relativistic electrons produces a major component of the diffuse emission from the galaxy the photon fields involved are the cosmic microwave background and the interstellar radiation field from stars and dust calculations of the inverse compton distribution have usually assumed a smooth isrf but in fact a large part of the galactic luminosity comes from the most luminous stars which are rare therefore we expect the isrf and hence the inverse compton emission to be clumpy we also show that some of the most luminous stars may be visible to glast in this paper we give an update on our previous work including examples of the intensity distribution around stars and the predicted spectrum of cygnus ob2 | [['inverse', 'compton', 'scattering', 'by', 'relativistic', 'electrons', 'produces', 'a', 'major', 'component', 'of', 'the', 'diffuse', 'emission', 'from', 'the', 'galaxy', 'the', 'photon', 'fields', 'involved', 'are', 'the', 'cosmic', 'microwave', 'background', 'and', 'the', 'interstellar', 'radiation', 'field', 'from', 'stars', 'and', 'dust', 'calculations', 'of', 'the', 'inverse', 'compton', 'distribution', 'have', 'usually', 'assumed', 'a', 'smooth', 'isrf', 'but', 'in', 'fact', 'a', 'large', 'part', 'of', 'the', 'galactic', 'luminosity', 'comes', 'from', 'the', 'most', 'luminous', 'stars', 'which', 'are', 'rare', 'therefore', 'we', 'expect', 'the', 'isrf', 'and', 'hence', 'the', 'inverse', 'compton', 'emission', 'to', 'be', 'clumpy', 'we', 'also', 'show', 'that', 'some', 'of', 'the', 'most', 'luminous', 'stars', 'may', 'be', 'visible', 'to', 'glast', 'in', 'this', 'paper', 'we', 'give', 'an', 'update', 'on', 'our', 'previous', 'work', 'including', 'examples', 'of', 'the', 'intensity', 'distribution', 'around', 'stars', 'and', 'the', 'predicted', 'spectrum', 'of', 'cygnus', 'ob2']] | [-0.015284424222436203, 0.15959229164341684, -0.06615158537602868, 0.1336318063694014, -0.1261637788881694, -0.004574617928986953, -0.0131174709238035, 0.4342432141242441, -0.1966227313084143, -0.29668059744987607, 0.015288190548654552, -0.3299451023802038, -0.03421636103182908, 0.228435406226062, -0.012095077910021809, -0.048120008694962406, 0.020094068816185674, -0.0630861185298663, 0.021337890579011136, -0.2323991992262631, 0.3660514885482709, 0.12130104179671111, 0.16099231088657148, 0.021095234088692044, 0.051211666024755687, -0.07245102843793094, -0.09906786665597483, -0.04602894693139694, -0.05058049962093163, 0.0779491885553676, 0.2414217937953216, 0.13147749006363355, 0.16757760712230377, -0.3903023985114472, -0.25671813720529363, 0.10877435406562218, 0.20787085182118145, 0.047488979216903635, -0.07109395959626207, -0.2640691319449751, 0.011272895988846614, -0.16433551157093493, -0.15274927625817455, 0.06482738652651406, 0.007891606615975592, 0.016807267904158468, -0.2306342053204036, 0.0741320977712431, 0.048136476010722996, 0.04367168891297274, -0.11029514875686304, -0.09100490106531411, 0.001437152903296115, 0.020089076420153715, 0.10608711343620372, 0.06792430269670449, 0.211174587697976, -0.16947846724228424, -0.04567567519997516, 0.4406705625924813, -0.058870450835020766, -0.014616485177115961, 0.18538624804066725, -0.23712352757950214, -0.15943309864460314, 0.1940175379618756, 0.16454230178886456, 0.15209824754664106, -0.16501320503682884, 0.07063065443672856, -0.03545764072659649, 0.178709449537083, 0.030446463949547326, 0.057807011585725925, 0.2841747561854518, 0.07794572661576932, 0.016505426969687063, 0.1354742512618738, -0.23506757286993002, -0.024395074980133328, -0.3037355871532451, -0.0926905090089364, -0.16465115055349494, 0.14022282188881405, -0.1332688782443985, -0.15195602749874584, 0.34027608023371453, 0.13541976837460568, 0.20162965134863764, 0.011217989759665937, 0.34456921652467415, 0.12950948446946728, 0.08635073099747177, 0.15021040412589662, 0.3412674939587485, 0.16511575056601716, 0.09218716054138812, -0.22327095807014294, 0.06500497910055555, -0.04740450681718297] |
709.3842 | A nonlinear Ramsey interferometer operating beyond the Heisenberg limit | We show that a dynamically evolving two-mode Bose-Einstein condensate (TBEC)
with an adiabatic, time-varying Raman coupling maps exactly onto a nonlinear
Ramsey interferometer that includes a nonlinear medium. Assuming a realistic
quantum state for the TBEC, namely the SU(2) coherent spin state, we find that
the measurement uncertainty of the ``path-difference'' phase shift scales as
the standard quantum limit (1/N^{1/2}) where N is the number of atoms, while
that for the interatomic scattering strength scales as 1/N^{7/5}, overcoming
the Heisenberg limit of 1/N.
| cond-mat.other quant-ph | we show that a dynamically evolving twomode boseeinstein condensate tbec with an adiabatic timevarying raman coupling maps exactly onto a nonlinear ramsey interferometer that includes a nonlinear medium assuming a realistic quantum state for the tbec namely the su2 coherent spin state we find that the measurement uncertainty of the pathdifference phase shift scales as the standard quantum limit 1n12 where n is the number of atoms while that for the interatomic scattering strength scales as 1n75 overcoming the heisenberg limit of 1n | [['we', 'show', 'that', 'a', 'dynamically', 'evolving', 'twomode', 'boseeinstein', 'condensate', 'tbec', 'with', 'an', 'adiabatic', 'timevarying', 'raman', 'coupling', 'maps', 'exactly', 'onto', 'a', 'nonlinear', 'ramsey', 'interferometer', 'that', 'includes', 'a', 'nonlinear', 'medium', 'assuming', 'a', 'realistic', 'quantum', 'state', 'for', 'the', 'tbec', 'namely', 'the', 'su2', 'coherent', 'spin', 'state', 'we', 'find', 'that', 'the', 'measurement', 'uncertainty', 'of', 'the', 'pathdifference', 'phase', 'shift', 'scales', 'as', 'the', 'standard', 'quantum', 'limit', '1n12', 'where', 'n', 'is', 'the', 'number', 'of', 'atoms', 'while', 'that', 'for', 'the', 'interatomic', 'scattering', 'strength', 'scales', 'as', '1n75', 'overcoming', 'the', 'heisenberg', 'limit', 'of', '1n']] | [-0.1651880365183077, 0.278603618131367, -0.06026843609004395, 0.03644435353599852, 0.009225232350617283, -0.14260144194406343, 0.031486616736823105, 0.3371211045944109, -0.25924244861504653, -0.20112557675144294, 0.010862603968168358, -0.2786880914667031, -0.08086691848740618, 0.17339620792318317, 0.07238422066722883, 0.055850679937909105, 0.03109548078486469, 0.035830425814066716, -0.04930366548743644, -0.18005842718483153, 0.33441908207790155, -0.00017270388893737663, 0.26328550235981624, 0.0009133326366725491, 0.13752196080096793, 0.04685570218418611, 0.1136577654510691, -0.00226861442916277, -0.11116635345281727, 0.025943616212050363, 0.23312292279811894, -0.0017483474845748123, 0.22366689334101067, -0.41744887272304876, -0.24830018247409566, 0.1115337699458639, 0.15277582327530026, 0.217759676374177, -0.006269333902576075, -0.3243371754793859, -0.05178817844290922, -0.17648117980215608, -0.13096759461502477, -0.07973133074687566, 0.043159105837708565, -0.004057758945613963, -0.30360218115639304, 0.09128529588669175, 0.07513926889770096, 0.010372243151522992, -0.024085163519286166, -0.054274925916660124, -0.0035104297481976993, 0.06557299280766307, -0.05534981455506257, 0.03688689401918432, 0.14487294355129096, -0.16144723824946572, -0.0982306113228111, 0.39317931034942954, -0.14983689815669163, -0.12475601783612879, 0.1030599207322045, -0.1212309508857022, -0.08320806240208628, 0.07623037744438411, 0.09934824172452819, 0.07204461271204508, -0.09398734277659436, 0.10640257210243584, -0.05866035377243307, 0.2499580389888185, 0.07961537111436993, 0.11327563886099108, 0.18122962557869712, 0.16085496440348102, 0.09159938332897316, 0.1614054528252426, -0.10654791932916496, -0.17580744722948932, -0.3056738641192546, -0.11009833853544168, -0.22889793406399647, 0.11208153152611197, -0.13543088759704516, -0.1656079676979017, 0.3389231353634741, 0.13070188831855975, 0.19668201135653185, 0.04194505879227441, 0.2982579840846905, 0.144676975982559, 0.01368703664757493, 0.03750098485317899, 0.2805112053799193, 0.18994238845458844, 0.02987592633552395, -0.32363919123848217, -0.0349218058112367, 0.036813988106143544] |
709.3843 | Dense Molecular Gas In A Young Cluster Around MWC 1080 -- Rule Of The
Massive Star | We present CS $J = 2 \to 1$, $^{13}$CO $J = 1 \to 0$, and C$^{18}$O $J = 1
\to 0$, observations with the 10-element Berkeley Illinois Maryland Association
(BIMA) Array toward the young cluster around the Be star MWC 1080. These
observations reveal a biconical outflow cavity with size $\sim$ 0.3 and 0.05 pc
for the semimajor and semiminor axis and $\sim$ 45$\arcdeg$ position angle.
These transitions trace the dense gas, which is likely the swept-up gas of the
outflow cavity, rather than the remaining natal gas or the outflow gas. The gas
is clumpy; thirty-two clumps are identified. The identified clumps are
approximately gravitationally bound and consistent with a standard isothermal
sphere density, which suggests that they are likely collapsing protostellar
cores. The gas kinematics suggests that there exists velocity gradients
implying effects from the inclination of the cavity and MWC 1080. The
kinematics of dense gas has also been affected by either outflows or stellar
winds from MWC 1080, and lower-mass clumps are possibly under stronger effects
from MWC 1080 than higher-mass clumps. In addition, low-mass cluster members
tend to be formed in the denser and more turbulent cores, compared to isolated
low-mass star-forming cores. This results from contributions of nearby forming
massive stars, such as outflows or stellar winds. Therefore, we conclude that
in clusters like the MWC 1080 system, effects from massive stars dominate the
star-forming environment in both the kinematics and dynamics of the natal cloud
and the formation of low-mass cluster members. This study provides insights
into the effects of MWC 1080 on its natal cloud, and suggests a different
low-mass star forming environment in clusters compared to isolated star
formation.
| astro-ph | we present cs j 2 to 1 13co j 1 to 0 and c18o j 1 to 0 observations with the 10element berkeley illinois maryland association bima array toward the young cluster around the be star mwc 1080 these observations reveal a biconical outflow cavity with size sim 03 and 005 pc for the semimajor and semiminor axis and sim 45arcdeg position angle these transitions trace the dense gas which is likely the sweptup gas of the outflow cavity rather than the remaining natal gas or the outflow gas the gas is clumpy thirtytwo clumps are identified the identified clumps are approximately gravitationally bound and consistent with a standard isothermal sphere density which suggests that they are likely collapsing protostellar cores the gas kinematics suggests that there exists velocity gradients implying effects from the inclination of the cavity and mwc 1080 the kinematics of dense gas has also been affected by either outflows or stellar winds from mwc 1080 and lowermass clumps are possibly under stronger effects from mwc 1080 than highermass clumps in addition lowmass cluster members tend to be formed in the denser and more turbulent cores compared to isolated lowmass starforming cores this results from contributions of nearby forming massive stars such as outflows or stellar winds therefore we conclude that in clusters like the mwc 1080 system effects from massive stars dominate the starforming environment in both the kinematics and dynamics of the natal cloud and the formation of lowmass cluster members this study provides insights into the effects of mwc 1080 on its natal cloud and suggests a different lowmass star forming environment in clusters compared to isolated star formation | [['we', 'present', 'cs', 'j', '2', 'to', '1', '13co', 'j', '1', 'to', '0', 'and', 'c18o', 'j', '1', 'to', '0', 'observations', 'with', 'the', '10element', 'berkeley', 'illinois', 'maryland', 'association', 'bima', 'array', 'toward', 'the', 'young', 'cluster', 'around', 'the', 'be', 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709.3844 | An embedding theorem for automorphism groups of Cartan geometries | We prove a theorem relating the automorphism group of a Cartan geometry to
the group on which the geometry is modeled: a component of the adjoint
representation of the first embeds in the adjoint representation of the second.
Consequences of the theorem include general bounds on the rank and nilpotence
degree of an automorphism group; a result asserting local homogeneity and
completeness of parabolic geometries admitting a maximal-rank group of
automorphisms; and a local freeness theorem for actions additionally preserving
a continuous volume form.
| math.DG math.DS | we prove a theorem relating the automorphism group of a cartan geometry to the group on which the geometry is modeled a component of the adjoint representation of the first embeds in the adjoint representation of the second consequences of the theorem include general bounds on the rank and nilpotence degree of an automorphism group a result asserting local homogeneity and completeness of parabolic geometries admitting a maximalrank group of automorphisms and a local freeness theorem for actions additionally preserving a continuous volume form | [['we', 'prove', 'a', 'theorem', 'relating', 'the', 'automorphism', 'group', 'of', 'a', 'cartan', 'geometry', 'to', 'the', 'group', 'on', 'which', 'the', 'geometry', 'is', 'modeled', 'a', 'component', 'of', 'the', 'adjoint', 'representation', 'of', 'the', 'first', 'embeds', 'in', 'the', 'adjoint', 'representation', 'of', 'the', 'second', 'consequences', 'of', 'the', 'theorem', 'include', 'general', 'bounds', 'on', 'the', 'rank', 'and', 'nilpotence', 'degree', 'of', 'an', 'automorphism', 'group', 'a', 'result', 'asserting', 'local', 'homogeneity', 'and', 'completeness', 'of', 'parabolic', 'geometries', 'admitting', 'a', 'maximalrank', 'group', 'of', 'automorphisms', 'and', 'a', 'local', 'freeness', 'theorem', 'for', 'actions', 'additionally', 'preserving', 'a', 'continuous', 'volume', 'form']] | [-0.16615713156109754, 0.028712221658462937, -0.1490954499902381, 0.0442913059724517, -0.11723737249572184, -0.07173566389939792, 0.021550535717064383, 0.2957156261850503, -0.31954876914443003, -0.22162169934294762, 0.1453787961439784, -0.2248256791693469, -0.1273277381593029, 0.16471833105952965, -0.14495389801006586, -0.05563370534218848, 0.007323207818747808, 0.15814656147406259, -0.14205502927125918, -0.23828913056335987, 0.38975840620696545, -0.039559520537122375, 0.23940276099546326, 0.06518583804080706, 0.17584529672915647, 0.056212758784004974, -0.05040903135003256, 0.004512130497633258, -0.0838214705498623, 0.16271563281216436, 0.2226045349989796, 0.057400614962846576, 0.23547638316328326, -0.3459122721105814, -0.16690969996021263, 0.17635166767563315, 0.04037505823985806, 0.03772528218299461, -0.06161273377282279, -0.32380475307859125, 0.10575768956360185, -0.18453381195476617, -0.22151471279738916, -0.04939016210292244, 0.02198766937085782, -0.02843865796568848, -0.24523130630508863, 0.04714946352344539, 0.1732227465115665, 0.1459438172501645, -0.07973777986730315, -0.025391790246690756, -0.075150278175161, 0.12054906033223406, -0.006521200364832545, -0.011614539258603361, 0.10770864770304234, -0.11066205171629831, -0.1166457298123056, 0.4019353268889799, -0.04635993960047407, -0.2293362979876942, 0.12142543938188326, -0.1366802689597188, -0.2105662397419413, 0.0879691464970598, 0.15415868011214548, 0.15825892050807375, -0.02713900032852377, 0.20712210042637752, -0.14778048837823526, 0.13133890323695682, 0.08416401164694912, -0.009047501999746254, 0.08416696876243111, 0.10380431575634118, 0.13463352229778788, 0.12154505105752919, 0.05208715482149273, -0.019289268474538056, -0.38605016257081715, -0.22774554860024226, -0.1079944055804628, 0.11886139628699138, -0.1682381959560319, -0.17944347924259046, 0.4429294510073738, 0.033031532679507064, 0.13895897662621878, 0.13824487086856693, 0.2299613747080522, 0.07179404713956285, 0.06841189358826905, 0.0749377589710916, 0.13955493253611384, 0.30795100742640596, -0.07952650393902634, -0.15673405554324354, -0.0075028277046623685, 0.26315788104797583] |
709.3845 | Multi-boson correlations using wave-packets II | We investigate the analytically solvable pion-laser model, and its
generalization to arbitrary multiplicity distributions. Although this kind of
extension of the model is possible, the pion laser model in its original form
is unique: it is the only model in its class that has an analytic solution.
| nucl-th | we investigate the analytically solvable pionlaser model and its generalization to arbitrary multiplicity distributions although this kind of extension of the model is possible the pion laser model in its original form is unique it is the only model in its class that has an analytic solution | [['we', 'investigate', 'the', 'analytically', 'solvable', 'pionlaser', 'model', 'and', 'its', 'generalization', 'to', 'arbitrary', 'multiplicity', 'distributions', 'although', 'this', 'kind', 'of', 'extension', 'of', 'the', 'model', 'is', 'possible', 'the', 'pion', 'laser', 'model', 'in', 'its', 'original', 'form', 'is', 'unique', 'it', 'is', 'the', 'only', 'model', 'in', 'its', 'class', 'that', 'has', 'an', 'analytic', 'solution']] | [-0.08772459820560786, 0.03887045346282716, -0.12429211770548769, 0.10174434140587793, -0.06946114515480788, -0.1368333204831604, -0.001849861775079499, 0.38563914224505424, -0.2866507042604296, -0.24421159722639815, 0.07393093184319972, -0.2735823226925593, -0.16440149881553068, 0.15563494268723804, -0.01968466508222501, 0.04542288803318313, 0.029002036793035983, 0.11231010474021667, -0.02525825119886102, -0.20855911819102324, 0.298022390930387, 0.06255652306034513, 0.23309365959088926, 0.060506301132314234, 0.1277417524252087, -0.022439978034842923, 0.03206481332080844, -0.019443064280178234, -0.13148745128700798, 0.08941206388661395, 0.15313547420943074, 0.13706401488541262, 0.22744445665739477, -0.31662422380126687, -0.2082099801779765, 0.16924321720295626, 0.11972792954791499, 0.1402529672841015, -0.011291010649469883, -0.215875128891481, 0.11661394475706165, -0.24371831208143546, -0.21823330865363064, -0.07754399443207227, 0.0393543462673931, -0.01525039951134797, -0.25287204130512214, 0.035317311083655, 0.10405475747488115, -0.026393165074889268, -0.11122540207124194, -0.054350282166801066, -0.0009982340118807294, 0.07770746964556367, 0.0636596799218039, 0.05904307378375012, 0.03588571505742553, -0.16683270915350673, -0.07688661556913638, 0.41198201250770816, -0.04364296605648554, -0.2709777912367945, 0.1705995958460414, -0.15997001506469172, -0.10092629538848996, 0.11288550131670806, 0.1380797865719575, 0.1395060992597238, -0.17549170863450222, 0.18413745792982492, -0.15650035886336927, 0.14719673148963763, 0.022810423260797626, -0.006617090452219481, 0.17073980070974515, 0.2066368323576171, 0.030619947239756584, 0.19407256401103476, -0.03620510487614766, -0.13470688376337817, -0.31868964713066816, -0.15666898210411487, -0.19500450891159152, 0.04435107871161207, -0.0716814202374814, -0.17141647705727298, 0.46026421469413553, 0.16945212879521854, 0.16337254706203289, 0.04123959242892654, 0.3017197469978229, 0.18486366212448996, 0.04614280872224101, 0.03514583643687808, 0.2148027040226304, 0.1458543510955718, 0.05190392545140956, -0.20681598513518742, 0.08878251661182097, 0.07333820058113855] |
709.3846 | Effect of external stress on the thermal melting of DNA | We discuss the effects of external stress on the thermal denaturation of
homogeneous DNA. Pulling double-stranded DNA at each end exerts a profound
effect on the thermal denaturation, or melting, of a long segment of this
molecule. We discuss the effects on this transition of a stretching force
applied to opposite ends of one of the DNA strands, including full
consideration of the consequences of excluded volume, the analysis of which is
greatly simplified in this case. We also discuss the interplay of thermal
denaturation and force-generated separation when the tension is generated by a
force at the end of the duplexed strands and an equal and opposite force is
applied to the other end of the second strand.
| cond-mat.soft | we discuss the effects of external stress on the thermal denaturation of homogeneous dna pulling doublestranded dna at each end exerts a profound effect on the thermal denaturation or melting of a long segment of this molecule we discuss the effects on this transition of a stretching force applied to opposite ends of one of the dna strands including full consideration of the consequences of excluded volume the analysis of which is greatly simplified in this case we also discuss the interplay of thermal denaturation and forcegenerated separation when the tension is generated by a force at the end of the duplexed strands and an equal and opposite force is applied to the other end of the second strand | [['we', 'discuss', 'the', 'effects', 'of', 'external', 'stress', 'on', 'the', 'thermal', 'denaturation', 'of', 'homogeneous', 'dna', 'pulling', 'doublestranded', 'dna', 'at', 'each', 'end', 'exerts', 'a', 'profound', 'effect', 'on', 'the', 'thermal', 'denaturation', 'or', 'melting', 'of', 'a', 'long', 'segment', 'of', 'this', 'molecule', 'we', 'discuss', 'the', 'effects', 'on', 'this', 'transition', 'of', 'a', 'stretching', 'force', 'applied', 'to', 'opposite', 'ends', 'of', 'one', 'of', 'the', 'dna', 'strands', 'including', 'full', 'consideration', 'of', 'the', 'consequences', 'of', 'excluded', 'volume', 'the', 'analysis', 'of', 'which', 'is', 'greatly', 'simplified', 'in', 'this', 'case', 'we', 'also', 'discuss', 'the', 'interplay', 'of', 'thermal', 'denaturation', 'and', 'forcegenerated', 'separation', 'when', 'the', 'tension', 'is', 'generated', 'by', 'a', 'force', 'at', 'the', 'end', 'of', 'the', 'duplexed', 'strands', 'and', 'an', 'equal', 'and', 'opposite', 'force', 'is', 'applied', 'to', 'the', 'other', 'end', 'of', 'the', 'second', 'strand']] | [-0.17339696582422545, 0.19512695083071543, -0.09008119014383814, 0.02054941958365015, -0.039913525836447535, -0.1194626198828978, 0.07835475977912734, 0.3376357328201944, -0.2919214746393895, -0.21288371270806608, 0.05613692860430801, -0.251348375095897, -0.11376303357222134, 0.15336398713851063, -0.002582451490926067, -0.04243737832501025, 0.03800795710314128, 0.08107192614964226, 0.002194922192464188, -0.19272922791473535, 0.3028683875612441, 0.07291439166134697, 0.29332847411002394, 0.1428509820686748, 0.09544244466223202, -0.013348474477317136, 0.0038319445704504593, 0.0520712054251709, -0.19804351765788714, 0.10722471239297825, 0.13239196573494602, -0.01752580233091899, 0.2563320260763295, -0.5029781827450557, -0.21193908042100779, 0.09899347240459944, 0.11981061489668564, 0.1722987965489264, -0.013762769359237932, -0.22350138843146358, 0.03639621566981077, -0.1357675331676284, -0.10613897853625655, 0.02473586373488908, 0.03311512363537893, 0.041352136774872573, -0.1887556974365676, 0.090730964723862, 0.07916372057476664, 0.09321873477399666, -0.06487856178654958, -0.09883011382278371, -0.026746808971530932, 0.1583556874343924, 0.11279615903888845, 0.02414760270582165, 0.25351261373183104, -0.1503875247317256, -0.07718955978782753, 0.3980548238792157, -0.055825895452240516, -0.15260436951569517, 0.18422283000565307, -0.13424900572715423, -0.1378575370654906, 0.13823176483165914, 0.12009261741492329, 0.07816283979800419, -0.110437977765672, 0.025116309506317474, 0.05166510831943508, 0.15405872931617107, 0.13969896166285467, -0.07759242880521185, 0.2505189250341727, 0.20236127641075685, 0.015398168072136025, 0.25967016262475845, -0.1150066000823784, -0.09603452464660346, -0.3064330275943976, -0.19308649640830267, -0.1435801157988292, 0.050303744334703845, -0.05924100988760089, -0.19671225667757503, 0.3935144367268688, 0.11359101994026263, 0.19444943278617524, 0.021953555330105314, 0.3085648339967859, 0.033336825621456415, 0.07152561355634766, -0.04336405867884346, 0.2412030413525842, 0.11665224545473485, 0.06475474067146779, -0.3017375288135076, 0.07238681690956829, 0.019931551720157772] |
709.3847 | External Control of a Metal-Insulator Transition in GaMnAs Wires | Quantum transport in disordered ferromagnetic (III,Mn)V semiconductors is
studied theoretically. Mesoscopic wires exhibit an Anderson disorder-induced
metal-insulator transition that can be controlled by a weak external magnetic
field. This metal-insulator transition should also occur in other materials
with large anisotropic magneto resistance effects. The transition can be useful
for studies of zero-temperature quantum critical phase transitions and
fundamental material properties.
| cond-mat.mes-hall cond-mat.mtrl-sci | quantum transport in disordered ferromagnetic iiimnv semiconductors is studied theoretically mesoscopic wires exhibit an anderson disorderinduced metalinsulator transition that can be controlled by a weak external magnetic field this metalinsulator transition should also occur in other materials with large anisotropic magneto resistance effects the transition can be useful for studies of zerotemperature quantum critical phase transitions and fundamental material properties | [['quantum', 'transport', 'in', 'disordered', 'ferromagnetic', 'iiimnv', 'semiconductors', 'is', 'studied', 'theoretically', 'mesoscopic', 'wires', 'exhibit', 'an', 'anderson', 'disorderinduced', 'metalinsulator', 'transition', 'that', 'can', 'be', 'controlled', 'by', 'a', 'weak', 'external', 'magnetic', 'field', 'this', 'metalinsulator', 'transition', 'should', 'also', 'occur', 'in', 'other', 'materials', 'with', 'large', 'anisotropic', 'magneto', 'resistance', 'effects', 'the', 'transition', 'can', 'be', 'useful', 'for', 'studies', 'of', 'zerotemperature', 'quantum', 'critical', 'phase', 'transitions', 'and', 'fundamental', 'material', 'properties']] | [-0.2057784143059204, 0.35070586523725067, -0.022285118217890462, 0.04168672352097928, -0.047109470174958305, -0.24076826526628187, 0.053921365598216656, 0.4167091241106391, -0.2638786628221472, -0.24043574539634088, -0.014303477539215237, -0.30866955577706295, -0.2091092200173686, 0.18302576402202247, 0.05761928313101331, 0.07145659752034893, -0.06528469114564359, -0.11152958621581395, -0.11384223436859126, -0.1531346230302006, 0.27045860681682826, -0.013799528346862645, 0.33436463996767996, 0.12461641177845498, -0.07232284750013301, -0.03805746700769911, 0.27601371124619617, 0.11889067685891254, -0.20625516566275717, -0.06723385396568725, 0.3336871139705181, -0.21393491216003896, 0.18968564867973328, -0.4729964038046698, -0.293430543364957, 0.039728073903825135, 0.1440640136754761, 0.19377886556709806, -0.09642550642602146, -0.35125577873550357, 0.03779212023752431, -0.0989271081945238, -0.09656746572970103, -0.1394807304876546, -0.01537093886290677, -0.0033885994460433723, -0.23529848768375813, 0.1347272908271407, 0.0868720134710505, 0.1428259873238858, -0.027842454623896628, -0.028291651932522654, -0.00038366027486821014, 0.11988550900326421, -0.030784104525810107, 0.027821333690856893, 0.231430236560603, -0.13821010849205778, -0.165337393853891, 0.38443961637094615, -0.04461688456746439, -0.04208013503812254, 0.17631181166507304, -0.20385180314672954, -0.06296216133050621, 0.18727758027768385, 0.1332534442966183, 0.07369085028767586, -0.1668261795071885, 0.07905785211575372, 0.022162001766264438, 0.12958653120246405, -0.050710563090008993, 0.10506696139927954, 0.2951104885277649, 0.2019009933496515, -0.011640180321410298, 0.18723131012811792, -0.06965352253367503, -0.08758446319649617, -0.19242557695445914, -0.19767666081897914, -0.2795453678506116, 0.12195354267023503, -0.10118855802938924, -0.25733778541131563, 0.34483138939831404, 0.22041283862199634, 0.13695770070577662, -0.14815105620461205, 0.1889604169332112, 0.19049703714748223, 0.028890554474977157, -0.014036095895183584, 0.3071426162496209, 0.19725036152716105, 0.149373026099056, -0.29416337225896616, 0.11575209196501722, 0.019784156539632627] |
709.3848 | KdV6: An Integrable System | $K^2 S^2 T [5]$ recently derived a new 6$^{th}$-order wave equation $KdV6$:
$(\partial^2_x + 8u_x \partial_x + 4u_{xx})(u_t + u_{xxx} + 6u_x^2) = 0$,
found a linear problem and an auto-B${\ddot{\rm{a}}}$ckclund transformation for
it, and conjectured its integrability in the usual sense. We prove this
conjecture by constructing an infinite commuting hierarchy $KdV_n6$ with a
common infinite set of conserved densities. A general construction is presented
applicable to any bi-Hamiltonian system (such as all standard Lax equations,
continuous and discrete) providing a nonholonomic perturbation of it. This
perturbation is conjectured to preserve integrability. That conjecture is
verified in a few representative cases: the classical long-wave equations, the
Toda lattice (both continuous and discrete), and the Euler top.
| nlin.SI | k2 s2 t 5 recently derived a new 6thorder wave equation kdv6 partial2_x 8u_x partial_x 4u_xxu_t u_xxx 6u_x2 0 found a linear problem and an autobddotrmackclund transformation for it and conjectured its integrability in the usual sense we prove this conjecture by constructing an infinite commuting hierarchy kdv_n6 with a common infinite set of conserved densities a general construction is presented applicable to any bihamiltonian system such as all standard lax equations continuous and discrete providing a nonholonomic perturbation of it this perturbation is conjectured to preserve integrability that conjecture is verified in a few representative cases the classical longwave equations the toda lattice both continuous and discrete and the euler top | [['k2', 's2', 't', '5', 'recently', 'derived', 'a', 'new', '6thorder', 'wave', 'equation', 'kdv6', 'partial2_x', '8u_x', 'partial_x', '4u_xxu_t', 'u_xxx', '6u_x2', '0', 'found', 'a', 'linear', 'problem', 'and', 'an', 'autobddotrmackclund', 'transformation', 'for', 'it', 'and', 'conjectured', 'its', 'integrability', 'in', 'the', 'usual', 'sense', 'we', 'prove', 'this', 'conjecture', 'by', 'constructing', 'an', 'infinite', 'commuting', 'hierarchy', 'kdv_n6', 'with', 'a', 'common', 'infinite', 'set', 'of', 'conserved', 'densities', 'a', 'general', 'construction', 'is', 'presented', 'applicable', 'to', 'any', 'bihamiltonian', 'system', 'such', 'as', 'all', 'standard', 'lax', 'equations', 'continuous', 'and', 'discrete', 'providing', 'a', 'nonholonomic', 'perturbation', 'of', 'it', 'this', 'perturbation', 'is', 'conjectured', 'to', 'preserve', 'integrability', 'that', 'conjecture', 'is', 'verified', 'in', 'a', 'few', 'representative', 'cases', 'the', 'classical', 'longwave', 'equations', 'the', 'toda', 'lattice', 'both', 'continuous', 'and', 'discrete', 'and', 'the', 'euler', 'top']] | [-0.16576332796504287, 0.0957791359301452, -0.05493531611130059, 0.10388834514354886, -0.09228752767144938, -0.18160533917650024, -0.0506182467808651, 0.25508389491849, -0.31471714087996944, -0.2068890063179152, 0.11510593969283503, -0.25455205728491404, -0.16094526966215572, 0.1496401027053873, -0.04225817841921593, 0.11287778509708957, 0.04924998943102067, 0.043654855817260446, -0.11684768301191105, -0.2746904920786619, 0.28537839011367516, -0.06737942226605367, 0.21626599378683647, 0.025373365177346445, 0.1875265316828807, 0.01653247141000754, 0.01373109499549615, -0.02285485063715488, -0.1501482554462387, 0.05403287261702712, 0.24904083148967998, 0.07715519091384224, 0.2226219802537811, -0.3654365895977505, -0.2148049168795169, 0.0978046142774695, 0.13914480029004755, 0.1030807350305231, -0.020632690626031187, -0.3088293213345041, 0.08556617779013152, -0.17100520038141687, -0.2297066813595941, -0.07934815295053664, 0.08250116799070248, 0.022032207145712503, -0.2840877425830776, 0.08264769938845534, 0.11831710018896471, 0.04355319558912627, -0.082801911415245, -0.07272421460050359, -0.09770649642178736, 0.029870986472815275, 0.004286918987163177, 0.06628129215667321, -0.0075300962046206555, -0.04705945957151773, -0.0947645376664891, 0.40170798328853097, -0.06893069461362314, -0.27925679098953987, 0.15718467331439187, -0.09278451819320983, -0.19331019132606964, 0.1175175980777941, 0.05112881370097677, 0.1511423870068148, -0.1525166501491287, 0.16879413875470495, -0.116974639982528, 0.11989048299179456, 0.13158523232162556, -0.02844244647971311, 0.1202704697916998, 0.10232429086692005, 0.09492381955779845, 0.10234340841046352, 0.040135446267864, -0.12208213497423262, -0.35232007870816184, -0.15796704076161983, -0.16198522839412338, 0.13948534957443856, -0.09604413447851015, -0.1871286855366464, 0.342369980244053, 0.08985352632317639, 0.12704733650039046, 0.12559170022641666, 0.19598682499795317, 0.20992784980680712, 0.025561688742034624, 0.09116466175851838, 0.1607201835967461, 0.20800513746521532, 0.09571123151021584, -0.1736351562485482, -0.07123196690787222, 0.1816612664897378] |
709.3849 | Eliashberg theory of superconductivity and inelastic rare-earth impurity
scattering in filled skutterudite La$_{1-x}$Pr$_{x}$Os$_{4}$Sb$_{12}$ | We study the influence of inelastic rare-earth impurity scattering on
electron-phonon mediated superconductivity and mass renormalization in
(La$_{1-x}$Pr$_{x}$)Os$_{4}$Sb$_{12}$ compounds. Solving the strong coupling
Eliashberg equations we find that the dominant quadrupolar component of the
inelastic scattering on Pr impurities yields an enhancement of the
superconducting transition temperature T$_c$ in LaOs$_{4}$Sb$_{12}$ and
increases monotonically as a function of Pr concentration. The calculated
results are in good agreement with the experimentally observed T$_c (x)$
dependence. Our analysis suggests that phonons and quadrupolar excitations
cause the attractive electron interaction which results in the formation of
Cooper pairs and singlet superconductivity in PrOs$_{4}$Sb$_{12}$.
| cond-mat.supr-con cond-mat.str-el | we study the influence of inelastic rareearth impurity scattering on electronphonon mediated superconductivity and mass renormalization in la_1xpr_xos_4sb_12 compounds solving the strong coupling eliashberg equations we find that the dominant quadrupolar component of the inelastic scattering on pr impurities yields an enhancement of the superconducting transition temperature t_c in laos_4sb_12 and increases monotonically as a function of pr concentration the calculated results are in good agreement with the experimentally observed t_c x dependence our analysis suggests that phonons and quadrupolar excitations cause the attractive electron interaction which results in the formation of cooper pairs and singlet superconductivity in pros_4sb_12 | [['we', 'study', 'the', 'influence', 'of', 'inelastic', 'rareearth', 'impurity', 'scattering', 'on', 'electronphonon', 'mediated', 'superconductivity', 'and', 'mass', 'renormalization', 'in', 'la_1xpr_xos_4sb_12', 'compounds', 'solving', 'the', 'strong', 'coupling', 'eliashberg', 'equations', 'we', 'find', 'that', 'the', 'dominant', 'quadrupolar', 'component', 'of', 'the', 'inelastic', 'scattering', 'on', 'pr', 'impurities', 'yields', 'an', 'enhancement', 'of', 'the', 'superconducting', 'transition', 'temperature', 't_c', 'in', 'laos_4sb_12', 'and', 'increases', 'monotonically', 'as', 'a', 'function', 'of', 'pr', 'concentration', 'the', 'calculated', 'results', 'are', 'in', 'good', 'agreement', 'with', 'the', 'experimentally', 'observed', 't_c', 'x', 'dependence', 'our', 'analysis', 'suggests', 'that', 'phonons', 'and', 'quadrupolar', 'excitations', 'cause', 'the', 'attractive', 'electron', 'interaction', 'which', 'results', 'in', 'the', 'formation', 'of', 'cooper', 'pairs', 'and', 'singlet', 'superconductivity', 'in', 'pros_4sb_12']] | [-0.19350569098427586, 0.23572179796402842, -0.01570299322887951, 0.09187002230093491, -0.0076702039650812445, -0.12792762733368698, 0.08968435953922417, 0.34157131352861014, -0.22099755811314953, -0.2441818250618799, -0.12400159808184609, -0.42803289007623585, -0.09920254438089168, 0.14874741739631459, 0.1267218260018497, -0.017951182811996157, -0.0439687901086231, -0.011406714001632467, -0.13584646772194123, -0.23185587318718662, 0.3102414951070535, 0.03711685504080081, 0.3336410920268723, 0.20317100454596992, -0.0043486174414580575, 0.06573522032466622, 0.1379852803728106, 0.009524796210343436, -0.15990598606761208, 0.012173460178761458, 0.29772629705792275, -0.10790291658545635, 0.15961163309497797, -0.3971357618943237, -0.21477818058575598, -0.003728657207755866, 0.18272425785033528, 0.12185965303440902, -0.12143290734954407, -0.2577875392589889, -0.004568261331973636, -0.1393278789022291, -0.10864174068425497, -0.09987838541594696, -0.017030788661569964, -0.005334739081504546, -0.3089618287999563, 0.1620970213861794, 0.07154133421730022, 0.08550511281557228, -0.14540270550594647, -0.13602816381928873, -0.07006248254899164, -0.02161794354930064, 0.12657305538150654, 0.06860090129086938, 0.16874248291394311, -0.12385253291767166, -0.051192657337809096, 0.3252249285721277, -0.11954500208779865, -0.030015331997098972, 0.15360235230883165, -0.17609604259439726, -0.0764619029683598, 0.18817499222005812, 0.12376709882828064, 0.0860726012734278, -0.11825026342721313, 0.07614456829662454, -0.04165434493322154, 0.2068720812106277, 0.017372301898478548, 0.08350504759860365, 0.20162203736907366, 0.21501099692695602, -0.028493890762139037, 0.08296496639199251, -0.11582521340638703, -0.0546310440760714, -0.24322611863287735, -0.14673979518630978, -0.20433257692683565, 0.038790153262290954, -0.094359762105991, -0.16395394897506554, 0.33361960787383116, 0.17496870780941004, 0.217779077561002, -0.07655574144838302, 0.18597601922419, 0.12963550290263884, 0.0916676471028857, 0.03653656947901662, 0.30598297926991685, 0.21852077352006596, 0.08238205691913561, -0.43253072668627207, 0.0826749861078831, 0.018426933392350162] |
709.385 | Effect of Salt Concentration on the Electrophoretic Speed of a
Polyelectrolyte through a Nanopore | In a previous paper [S. Ghosal, Phys. Rev. E 74, 041901 (2006)] a
hydrodynamic model for determining the electrophoretic speed of a
polyelectrolyte through an axially symmetric slowly varying nanopore was
presented in the limit of a vanishingly small Debye length. Here the case of a
finite Debye layer thickness is considered while restricting the pore geometry
to that of a cylinder of length much larger than the diameter. Further, the
possibility of a uniform surface charge on the walls of the nanopore is taken
into account. It is thereby shown that the calculated transit times are
consistent with recent measurements in silicon nanopores.
| physics.chem-ph cond-mat.soft physics.bio-ph | in a previous paper s ghosal phys rev e 74 041901 2006 a hydrodynamic model for determining the electrophoretic speed of a polyelectrolyte through an axially symmetric slowly varying nanopore was presented in the limit of a vanishingly small debye length here the case of a finite debye layer thickness is considered while restricting the pore geometry to that of a cylinder of length much larger than the diameter further the possibility of a uniform surface charge on the walls of the nanopore is taken into account it is thereby shown that the calculated transit times are consistent with recent measurements in silicon nanopores | [['in', 'a', 'previous', 'paper', 's', 'ghosal', 'phys', 'rev', 'e', '74', '041901', '2006', 'a', 'hydrodynamic', 'model', 'for', 'determining', 'the', 'electrophoretic', 'speed', 'of', 'a', 'polyelectrolyte', 'through', 'an', 'axially', 'symmetric', 'slowly', 'varying', 'nanopore', 'was', 'presented', 'in', 'the', 'limit', 'of', 'a', 'vanishingly', 'small', 'debye', 'length', 'here', 'the', 'case', 'of', 'a', 'finite', 'debye', 'layer', 'thickness', 'is', 'considered', 'while', 'restricting', 'the', 'pore', 'geometry', 'to', 'that', 'of', 'a', 'cylinder', 'of', 'length', 'much', 'larger', 'than', 'the', 'diameter', 'further', 'the', 'possibility', 'of', 'a', 'uniform', 'surface', 'charge', 'on', 'the', 'walls', 'of', 'the', 'nanopore', 'is', 'taken', 'into', 'account', 'it', 'is', 'thereby', 'shown', 'that', 'the', 'calculated', 'transit', 'times', 'are', 'consistent', 'with', 'recent', 'measurements', 'in', 'silicon', 'nanopores']] | [-0.12588979301915404, 0.18750600832940004, -0.03257461619174596, -0.04887361401913561, -0.010438941482418371, -0.13742454065624804, 0.04359592515093645, 0.3488517543029727, -0.19880781601775366, -0.2525042431017619, 0.024038117391382823, -0.2714441222572717, -0.07035339956207978, 0.19211897051676166, -0.05749498682946545, 0.04245559610222982, 0.04825244295024127, -0.0027575393849350875, -0.0465471662029407, -0.21092121319357052, 0.18187931106308275, 0.09954035476085196, 0.27736502341039987, 0.12274271174270696, 0.07058130372519089, 0.0041776337859772365, 0.00167090263109184, 0.10605921855793127, -0.22392104265239945, 0.07600790499573917, 0.15164270148232797, -0.036561262106649506, 0.23938618843145307, -0.46917198209580285, -0.26816229683627346, 0.033560930511651973, 0.13592270153429975, 0.1337479385569945, -0.00635120529993392, -0.2774162402950697, 0.11312345246947145, -0.1741070286054345, -0.1440365212173789, 0.02815261560049161, 0.16357901243908893, -0.0015125592624614902, -0.2585642754780671, 0.10298143763058973, 0.08790772788913793, 0.036485221001853065, -0.06266524375854873, -0.13181900535484106, -0.03595619020278303, 0.05387693407122516, 0.06872457043760574, 0.06436203255146308, 0.1859027299491996, -0.08126397699443172, -0.01478424999700154, 0.3605039563138508, -0.06306993636120116, -0.206217106332261, 0.15299546685594234, -0.16392602432446862, -0.005039177875676491, 0.18913782821986283, 0.14044955487191244, 0.16116738474918801, -0.15487830129280253, 0.11414143906056302, -0.0806711901188941, 0.20704676327860724, 0.1335719911227889, -0.027749328191383083, 0.2088916053525308, 0.22924966258403745, 0.020745982678191176, 0.15842724363636046, -0.13453730591120722, -0.08708847975539206, -0.27490320921088884, -0.17145852192115146, -0.20298292061078896, 0.07424580169507095, -0.10615091771339473, -0.16384740401759013, 0.36845925186299583, 0.09800309889488718, 0.22079702971268048, 0.04013740053418481, 0.2488137239689749, 0.051707689613058654, 0.07902663570005918, 0.04963296007147981, 0.24930947618694632, 0.1805581899757669, 0.10915268547335658, -0.23665395565783082, 0.047424478425861345, 0.039188271650628555] |
709.3851 | Asymptotic Safety | Asymptotic safety is a set of conditions, based on the existence of a
nontrivial fixed point for the renormalization group flow, which would make a
quantum field theory consistent up to arbitrarily high energies. After
introducing the basic ideas of this approach, I review the present evidence in
favor of an asymptotically safe quantum field theory of gravity.
| hep-th | asymptotic safety is a set of conditions based on the existence of a nontrivial fixed point for the renormalization group flow which would make a quantum field theory consistent up to arbitrarily high energies after introducing the basic ideas of this approach i review the present evidence in favor of an asymptotically safe quantum field theory of gravity | [['asymptotic', 'safety', 'is', 'a', 'set', 'of', 'conditions', 'based', 'on', 'the', 'existence', 'of', 'a', 'nontrivial', 'fixed', 'point', 'for', 'the', 'renormalization', 'group', 'flow', 'which', 'would', 'make', 'a', 'quantum', 'field', 'theory', 'consistent', 'up', 'to', 'arbitrarily', 'high', 'energies', 'after', 'introducing', 'the', 'basic', 'ideas', 'of', 'this', 'approach', 'i', 'review', 'the', 'present', 'evidence', 'in', 'favor', 'of', 'an', 'asymptotically', 'safe', 'quantum', 'field', 'theory', 'of', 'gravity']] | [-0.1678122009214913, 0.15541134558137354, -0.18292735414258365, 0.04196243931475128, -0.05043464353115394, -0.14773331096813339, 0.09377669221882162, 0.2952593998855044, -0.1924829553282852, -0.26822196419254457, 0.1067570717824655, -0.22495612675516768, -0.13097245747159267, 0.16128140498466534, -0.06938223684595994, 0.04859767417455542, 0.028063671290071618, 0.08441795008899323, -0.08079671188546665, -0.2111979943041786, 0.3448408409824659, 0.058371734705047106, 0.2827066160449437, 0.07716769317229247, 0.11735094507256973, 0.005687766371230627, -0.006173222193269637, 0.06334709136843167, -0.15381571925084653, 0.13286179578702512, 0.23632991505016027, 0.09672756159902904, 0.32157833559502813, -0.4453556356823136, -0.21600534025065857, 0.0392379297489493, 0.09744638647755673, 0.1610207933654551, -0.09040170271503578, -0.26762002382170536, 0.12145682188264768, -0.1783423482055037, -0.2188028973157935, -0.09161654204644006, -0.011171589754040128, -0.050911223612211905, -0.24941611425461377, 0.01268515918917697, 0.041081219654658746, 0.09382345774692707, -0.028525894973427057, -0.05482250112430032, 0.04240414532752515, 0.09405040885482369, 0.08346495949582936, 0.045647719618061494, 0.10911756337234943, -0.1707291126207063, -0.11956497895980961, 0.3583625616056138, -0.07191973195636067, -0.12912828592455078, 0.17544441448789538, -0.08672594763177993, -0.15979041756484016, 0.11467454807254775, 0.13578321591244433, 0.14848133202256827, -0.13944572358038917, 0.13885019938782628, -0.03450214451756971, 0.14124245924226828, 0.019891792025160174, 0.040344607727280976, 0.25803938085727135, 0.1276302158768321, 0.11397897339715012, 0.07838306693231752, -0.012984170743007341, -0.14495519315823913, -0.436128681300786, -0.15342283075482682, -0.12973187486480536, 0.10604447127994278, -0.12518176591377064, -0.21059823334859362, 0.3761115456802835, 0.18715286678795157, 0.15589070216559903, 0.06553608657800239, 0.23834576626340376, 0.11603890873059221, 0.012065718062864295, 0.09297813407289957, 0.24691732212146422, 0.15737009103056684, 0.03291409205372349, -0.21154837531101858, -0.00404418487872543, 0.09726188149592228] |
709.3852 | Coherent Communication with Linear Optics | We show how to implement several continuous-variable coherent protocols with
linear optics. Noise can accumulate when implementing each coherent protocol
with realistic optical devices. Our analysis bounds the level of noise
accumulation. We highlight the connection between a coherent channel and a
nonlocal quantum nondemolition interaction and give two new protocols that
implement a coherent channel. One protocol is superior to a previous method for
a nonlocal quantum nondemolition interaction because it requires fewer
communication resources. We then show how continuous-variable coherent
superdense coding implements two nonlocal quantum nondemolition interactions
with a quantum channel and bipartite entanglement. We finally show how to
implement continuous-variable coherent teleportation experimentally and provide
a way to verify the correctness of its operation.
| quant-ph | we show how to implement several continuousvariable coherent protocols with linear optics noise can accumulate when implementing each coherent protocol with realistic optical devices our analysis bounds the level of noise accumulation we highlight the connection between a coherent channel and a nonlocal quantum nondemolition interaction and give two new protocols that implement a coherent channel one protocol is superior to a previous method for a nonlocal quantum nondemolition interaction because it requires fewer communication resources we then show how continuousvariable coherent superdense coding implements two nonlocal quantum nondemolition interactions with a quantum channel and bipartite entanglement we finally show how to implement continuousvariable coherent teleportation experimentally and provide a way to verify the correctness of its operation | [['we', 'show', 'how', 'to', 'implement', 'several', 'continuousvariable', 'coherent', 'protocols', 'with', 'linear', 'optics', 'noise', 'can', 'accumulate', 'when', 'implementing', 'each', 'coherent', 'protocol', 'with', 'realistic', 'optical', 'devices', 'our', 'analysis', 'bounds', 'the', 'level', 'of', 'noise', 'accumulation', 'we', 'highlight', 'the', 'connection', 'between', 'a', 'coherent', 'channel', 'and', 'a', 'nonlocal', 'quantum', 'nondemolition', 'interaction', 'and', 'give', 'two', 'new', 'protocols', 'that', 'implement', 'a', 'coherent', 'channel', 'one', 'protocol', 'is', 'superior', 'to', 'a', 'previous', 'method', 'for', 'a', 'nonlocal', 'quantum', 'nondemolition', 'interaction', 'because', 'it', 'requires', 'fewer', 'communication', 'resources', 'we', 'then', 'show', 'how', 'continuousvariable', 'coherent', 'superdense', 'coding', 'implements', 'two', 'nonlocal', 'quantum', 'nondemolition', 'interactions', 'with', 'a', 'quantum', 'channel', 'and', 'bipartite', 'entanglement', 'we', 'finally', 'show', 'how', 'to', 'implement', 'continuousvariable', 'coherent', 'teleportation', 'experimentally', 'and', 'provide', 'a', 'way', 'to', 'verify', 'the', 'correctness', 'of', 'its', 'operation']] | [-0.19435841583062785, 0.14669514476258497, -0.14374743369102114, 0.060558713213895776, -0.028837338317840723, -0.31648957828785906, 0.08913150332647107, 0.423585157841444, -0.28624567360285735, -0.2537025074712277, 0.03317099287948114, -0.20772210101328664, -0.17612456433254026, 0.2620142216210143, -0.06854852299813687, 0.12208812322686584, 0.10308606084436178, -0.01702138189777882, -0.04400769734688072, -0.2652231611595568, 0.28546759608138544, 0.01013942439724707, 0.3338510213928865, 0.04518590406988258, 0.11753478575639932, 0.052957215823896106, 0.00357334163351679, -0.0810302808265186, -0.09074631875798439, 0.12314393165347687, 0.2859917451495352, 0.12038695570712878, 0.2917259679002277, -0.46031653361742275, -0.22300025348164837, 0.1027761825993736, 0.0990919533153104, 0.25497192390641926, -0.05430107274570234, -0.3216726247643484, 0.03213312510022168, -0.2501758301977889, -0.05152300394609298, -0.1392704292232076, -0.043260903318680946, -0.011952232924621489, -0.2725667622930891, 0.04869459328336357, 0.04547684306626098, 0.0026508254567319052, 0.08345917710712301, 0.03315479960489892, 0.043069658191259005, 0.1292018795623227, -0.17010927687288593, -0.04581858352753058, 0.16279362103017836, -0.12411167744203802, -0.23256934976000024, 0.32634367556232263, -0.03209313238680884, -0.2062472881338859, 0.1789867420729163, -0.06542525914797591, -0.08888819617795427, 0.014772861469852723, 0.14086647092668592, 0.05626727095252629, -0.13634469086894768, 0.00855843532806799, -0.02295432954837205, 0.23562240400114806, 0.019653955884909226, 0.22144792520172768, 0.13366380714322046, 0.12191214715327942, 0.1132265287688223, 0.20431868814058224, -0.09231647289500146, -0.15215096249387172, -0.3320161851509711, -0.17682703154287854, -0.19860499488363453, 0.08236387514181719, -0.04133236698236048, -0.09889346884733255, 0.3748492861513869, 0.2106600409192112, 0.11373230840189982, 0.021029195069509038, 0.40584305331300374, 0.06102427122502793, 0.01312647768990847, 0.09544521846050807, 0.24333906742365305, 0.2162604224157788, 0.049504773442680804, -0.27112952110917954, 0.03006369852701644, -0.03153724305137352] |
709.3853 | Thermodynamics of Quasi-Particles | We present in this work a generalization of the solution of Gorenstein and
Yang for a consistent thermodynamics for systems with a temperature dependent
Hamiltonian. We show that there is a large class of solutions, work out three
particular ones, and discuss their physical relevance. We apply the particular
solutions for an ideal gas of quasi-gluons, and compare the calculation to
lattice and perturbative QCD results.
| nucl-th hep-ph | we present in this work a generalization of the solution of gorenstein and yang for a consistent thermodynamics for systems with a temperature dependent hamiltonian we show that there is a large class of solutions work out three particular ones and discuss their physical relevance we apply the particular solutions for an ideal gas of quasigluons and compare the calculation to lattice and perturbative qcd results | [['we', 'present', 'in', 'this', 'work', 'a', 'generalization', 'of', 'the', 'solution', 'of', 'gorenstein', 'and', 'yang', 'for', 'a', 'consistent', 'thermodynamics', 'for', 'systems', 'with', 'a', 'temperature', 'dependent', 'hamiltonian', 'we', 'show', 'that', 'there', 'is', 'a', 'large', 'class', 'of', 'solutions', 'work', 'out', 'three', 'particular', 'ones', 'and', 'discuss', 'their', 'physical', 'relevance', 'we', 'apply', 'the', 'particular', 'solutions', 'for', 'an', 'ideal', 'gas', 'of', 'quasigluons', 'and', 'compare', 'the', 'calculation', 'to', 'lattice', 'and', 'perturbative', 'qcd', 'results']] | [-0.10507798652873714, 0.05446930139552216, -0.07362118436757362, 0.05087959517329706, -0.029047542590309273, -0.10129549021296429, 0.050394892674927236, 0.3413778602173834, -0.18849265613508495, -0.209981995401904, 0.11336072871750785, -0.308395677330819, -0.1536479578494574, 0.18264639569502888, -0.035474144529099715, 0.06292971107882983, 0.05562605579016787, 0.004352106599870956, -0.11304373343150612, -0.2438852863216942, 0.37709978639119957, 0.026398057604885915, 0.23744310713796454, 0.11510357870296999, 0.10628067129856032, -0.021543334305258184, -0.024156123653731564, 0.07943240038091035, -0.19791930860711462, 0.10285874313646645, 0.2220593935697142, 0.0599320060926292, 0.20761493673886766, -0.3801524059169672, -0.18848813003437084, 0.0897413353774358, 0.12806512073924145, 0.17068500317294488, -0.09171925365191066, -0.19970357844210934, 0.08126600546000357, -0.2223124689366104, -0.1810297295310055, -0.1578380684227203, 0.023691684219308874, 0.008698675915542426, -0.27321619307622313, 0.05870555248817034, 0.062834684652361, 0.05054761758748844, -0.10964909328542875, -0.09002864503329902, 0.025025804879877604, 0.0677112491482121, 0.03388287077276883, 0.022173198384486816, 0.0623779655222527, -0.1652011849571753, -0.13639044781413043, 0.4299382439278292, -0.07417091250659502, -0.20287658594845032, 0.22504476103296672, -0.13381070551942242, -0.1883992550640621, 0.04876374962005877, 0.13097031964483022, 0.1642071618204654, -0.1438756350667752, 0.10836691773764676, -0.0826968132892172, 0.13215111897355228, 0.025461455383761364, 0.036049666694563, 0.20005216568031095, 0.16163121712760944, 0.025602065781695826, 0.16771356932550782, -0.013222955929284746, -0.12175388960167766, -0.3352554448118264, -0.19545075791238836, -0.16322757542189775, 0.0633653608489443, -0.0794648041871066, -0.1495542544289492, 0.39318415799149964, 0.21055041056013468, 0.20575652835947095, 0.09322349676001591, 0.23300032757899977, 0.10464568659098762, 0.00031568348816962856, 0.08128585712278658, 0.2408171296013858, 0.14041142908955048, 0.10356953227892518, -0.22076941161084865, -0.04062438557968673, 0.08257317112645868] |
709.3854 | Arecibo HI Absorption Measurements of Pulsars and the Electron Density
at Intermediate Longitudes in the First Galactic Quadrant | We have used the Arecibo telescope to measure the HI absorption spectra of
eight pulsars. We show how kinematic distance measurements depend upon the
values of the galactic constants R_o and Theta_o, and we select our preferred
current values from the literature. We then derive kinematic distances for the
low-latitude pulsars in our sample and electron densities along their lines of
sight. We combine these measurements with all others in the inner galactic
plane visible from Arecibo to study the electron density in this region. The
electron density in the interarm range 48 degrees < l < 70 degrees is [0.017
(-0.007,+0.012) (68% c.l.)] cm^(-3). This is 0.75 (-0.22,+0.49) (68% c.l.) of
the value calculated by the Cordes & Lazio (2002) galactic electron density
model. The model agrees more closely with electron density measurements toward
Arecibo pulsars lying closer to the galactic center, at 30 degrees<l<48
degrees. Our analysis leads to the best current estimate of the distance of the
relativistic binary pulsar B1913+16: d=(9.0 +/- 3) kpc.
We use the high-latitude pulsars to search for small-scale structure in the
interstellar hydrogen observed in absorption over multiple epochs. PSR B0301+19
exhibited significant changes in its absorption spectrum over 22 yr, indicating
HI structure on a ~500 AU scale.
| astro-ph | we have used the arecibo telescope to measure the hi absorption spectra of eight pulsars we show how kinematic distance measurements depend upon the values of the galactic constants r_o and theta_o and we select our preferred current values from the literature we then derive kinematic distances for the lowlatitude pulsars in our sample and electron densities along their lines of sight we combine these measurements with all others in the inner galactic plane visible from arecibo to study the electron density in this region the electron density in the interarm range 48 degrees l 70 degrees is 0017 00070012 68 cl cm3 this is 075 022049 68 cl of the value calculated by the cordes lazio 2002 galactic electron density model the model agrees more closely with electron density measurements toward arecibo pulsars lying closer to the galactic center at 30 degreesl48 degrees our analysis leads to the best current estimate of the distance of the relativistic binary pulsar b191316 d90 3 kpc we use the highlatitude pulsars to search for smallscale structure in the interstellar hydrogen observed in absorption over multiple epochs psr b030119 exhibited significant changes in its absorption spectrum over 22 yr indicating hi structure on a 500 au scale | [['we', 'have', 'used', 'the', 'arecibo', 'telescope', 'to', 'measure', 'the', 'hi', 'absorption', 'spectra', 'of', 'eight', 'pulsars', 'we', 'show', 'how', 'kinematic', 'distance', 'measurements', 'depend', 'upon', 'the', 'values', 'of', 'the', 'galactic', 'constants', 'r_o', 'and', 'theta_o', 'and', 'we', 'select', 'our', 'preferred', 'current', 'values', 'from', 'the', 'literature', 'we', 'then', 'derive', 'kinematic', 'distances', 'for', 'the', 'lowlatitude', 'pulsars', 'in', 'our', 'sample', 'and', 'electron', 'densities', 'along', 'their', 'lines', 'of', 'sight', 'we', 'combine', 'these', 'measurements', 'with', 'all', 'others', 'in', 'the', 'inner', 'galactic', 'plane', 'visible', 'from', 'arecibo', 'to', 'study', 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'significant', 'changes', 'in', 'its', 'absorption', 'spectrum', 'over', '22', 'yr', 'indicating', 'hi', 'structure', 'on', 'a', '500', 'au', 'scale']] | [-0.09390603455191013, 0.10671445496380329, -0.01699653474432125, 0.05923011681996286, -0.07815299041685649, -0.03911328945425339, 0.08334847345424351, 0.40451766942511314, -0.18210131477564573, -0.3518796602403745, 0.022437341847107745, -0.3363848545355722, 0.0010595052220742217, 0.20701848496450112, 0.03724123944863095, -0.038325794406264324, 0.020490923449397087, -0.06703073274577037, -0.07685768866329454, -0.20711848584636755, 0.2122265080944635, 0.11877680618781597, 0.17828342860448174, -0.012388272895477712, 0.09627816678461386, -0.056862592122051865, -0.06010876596905291, -0.036981195041444155, -0.17524083222961054, 0.07616456419087626, 0.25205306068994104, 0.10645764238899574, 0.16137488076579756, -0.3496332944229289, -0.1834553298621904, 0.03212902851868421, 0.15307719624885066, 0.03428813026519492, 0.004061823459560401, 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709.3855 | Non-birational twisted derived equivalences in abelian GLSMs | In this paper we discuss some examples of abelian gauged linear sigma models
realizing twisted derived equivalences between non-birational spaces, and
realizing geometries in novel fashions. Examples of gauged linear sigma models
with non-birational Kahler phases are a relatively new phenomenon. Most of our
examples involve gauged linear sigma models for complete intersections of
quadric hypersurfaces, though we also discuss some more general cases and their
interpretation. We also propose a more general understanding of the
relationship between Kahler phases of gauged linear sigma models, namely that
they are related by (and realize) Kuznetsov's `homological projective duality.'
Along the way, we shall see how `noncommutative spaces' (in Kontsevich's sense)
are realized physically in gauged linear sigma models, providing examples of
new types of conformal field theories. Throughout, the physical realization of
stacks plays a key role in interpreting physical structures appearing in GLSMs,
and we find that stacks are implicitly much more common in GLSMs than
previously realized.
| hep-th | in this paper we discuss some examples of abelian gauged linear sigma models realizing twisted derived equivalences between nonbirational spaces and realizing geometries in novel fashions examples of gauged linear sigma models with nonbirational kahler phases are a relatively new phenomenon most of our examples involve gauged linear sigma models for complete intersections of quadric hypersurfaces though we also discuss some more general cases and their interpretation we also propose a more general understanding of the relationship between kahler phases of gauged linear sigma models namely that they are related by and realize kuznetsovs homological projective duality along the way we shall see how noncommutative spaces in kontsevichs sense are realized physically in gauged linear sigma models providing examples of new types of conformal field theories throughout the physical realization of stacks plays a key role in interpreting physical structures appearing in glsms and we find that stacks are implicitly much more common in glsms than previously realized | [['in', 'this', 'paper', 'we', 'discuss', 'some', 'examples', 'of', 'abelian', 'gauged', 'linear', 'sigma', 'models', 'realizing', 'twisted', 'derived', 'equivalences', 'between', 'nonbirational', 'spaces', 'and', 'realizing', 'geometries', 'in', 'novel', 'fashions', 'examples', 'of', 'gauged', 'linear', 'sigma', 'models', 'with', 'nonbirational', 'kahler', 'phases', 'are', 'a', 'relatively', 'new', 'phenomenon', 'most', 'of', 'our', 'examples', 'involve', 'gauged', 'linear', 'sigma', 'models', 'for', 'complete', 'intersections', 'of', 'quadric', 'hypersurfaces', 'though', 'we', 'also', 'discuss', 'some', 'more', 'general', 'cases', 'and', 'their', 'interpretation', 'we', 'also', 'propose', 'a', 'more', 'general', 'understanding', 'of', 'the', 'relationship', 'between', 'kahler', 'phases', 'of', 'gauged', 'linear', 'sigma', 'models', 'namely', 'that', 'they', 'are', 'related', 'by', 'and', 'realize', 'kuznetsovs', 'homological', 'projective', 'duality', 'along', 'the', 'way', 'we', 'shall', 'see', 'how', 'noncommutative', 'spaces', 'in', 'kontsevichs', 'sense', 'are', 'realized', 'physically', 'in', 'gauged', 'linear', 'sigma', 'models', 'providing', 'examples', 'of', 'new', 'types', 'of', 'conformal', 'field', 'theories', 'throughout', 'the', 'physical', 'realization', 'of', 'stacks', 'plays', 'a', 'key', 'role', 'in', 'interpreting', 'physical', 'structures', 'appearing', 'in', 'glsms', 'and', 'we', 'find', 'that', 'stacks', 'are', 'implicitly', 'much', 'more', 'common', 'in', 'glsms', 'than', 'previously', 'realized']] | [-0.15115827851990662, 0.10421077270337817, -0.02882707728179101, 0.14570310250546523, -0.10640213090949986, -0.2210905940560742, -0.037809937740705575, 0.37694325971953524, -0.23239396289771988, -0.2460744563973497, 0.0860803583894762, -0.2244730889473016, -0.250757621629591, 0.21518925908670017, -0.14473441756577998, -0.010492688792763584, -0.040635118741377055, -0.024077826377027964, -0.15861997665775515, -0.29124222414515016, 0.38096606838399, -0.04527871753733835, 0.2253438399049536, 0.0008162993884680769, 0.0910146324851114, -0.05120484848341704, -0.01964977932018169, 0.009884557677248234, -0.15431433381216933, 0.1678092018789553, 0.31801013589788857, 0.06928463223761631, 0.13011391749797105, -0.4502231991331128, -0.2571661573292428, 0.16335317554082013, 0.13504053571974695, 0.11466107990768078, -0.040861075565633745, -0.2601993051003901, 0.061073113038334285, -0.14249536741961125, -0.15794545636936738, -0.140197347183535, 0.025557069577235445, -0.039032272036670694, -0.18679259116230887, 0.051542678602921034, 0.08813726647662683, 0.11955713482921401, -0.05170557661869127, -0.10199293984642512, -0.09709821461517175, 0.043741308857062004, 0.03258484120766597, -0.006498470084588456, 0.07260507809092538, -0.17825869612596174, -0.1604531058773422, 0.37264130926467004, -0.03813518332275105, -0.2598982695257107, 0.172155777444839, -0.09829295367681086, -0.20074859736163075, 0.032547819003745725, 0.13443895617110915, 0.14840719858597068, -0.07041796268246879, 0.15447435553312372, -0.10479279811482263, 0.09342335578631845, 0.07446581691715724, 0.06347853168211523, 0.24054541068499366, 0.15083547421624954, 0.038789036512062475, 0.13627015387851604, 0.026365937729943778, -0.10663321052745715, -0.42891491793944864, -0.1514282943474577, -0.00977162216624976, 0.09932998111736784, -0.11656639873473079, -0.11836084367448016, 0.398421989075981, 0.10406691793901654, 0.21523813197471767, 0.0860001976053596, 0.19045972554131022, 0.04722970195742371, 0.050083532014307625, 0.027918074103190176, 0.2023611063674782, 0.20631891497428517, 0.012900721107143909, -0.10335177401245772, -0.0678149306317025, 0.1301330808267186] |
709.3856 | On the Lifetime of Quasi-Stationary States in Non-Relativistic QED | We consider resonances in the Pauli-Fierz model of non-relativistic QED. We
use and slightly modify the analysis developed by Bach, Froehlich, and Sigal to
obtain an upper and lower bound on the lifetime of quasi-stationary states.
| math-ph math.MP | we consider resonances in the paulifierz model of nonrelativistic qed we use and slightly modify the analysis developed by bach froehlich and sigal to obtain an upper and lower bound on the lifetime of quasistationary states | [['we', 'consider', 'resonances', 'in', 'the', 'paulifierz', 'model', 'of', 'nonrelativistic', 'qed', 'we', 'use', 'and', 'slightly', 'modify', 'the', 'analysis', 'developed', 'by', 'bach', 'froehlich', 'and', 'sigal', 'to', 'obtain', 'an', 'upper', 'and', 'lower', 'bound', 'on', 'the', 'lifetime', 'of', 'quasistationary', 'states']] | [-0.0902571188699868, 0.1482600879555523, -0.07399627782352683, 0.10550977382808924, -3.800396290090349e-05, -0.13898795610293746, 0.06990748047569974, 0.2627698647427476, -0.11077870542390479, -0.3211579947383143, 0.02993713948914471, -0.26287052154334056, -0.08291957661923435, 0.15835007609307972, -0.017774127734204132, 0.046356282766080566, 0.033906568514390126, 0.050841669681378536, -0.018962394730705354, -0.2004779138822212, 0.3384407859864748, 0.07415330327219433, 0.25422135347293484, 0.1367412801935441, 0.01926468964666128, 0.04742372919443167, 0.026477987515843578, -0.07484579724000974, -0.23064378959437212, 0.12957212193578016, 0.11037374737982948, 0.07425306265294138, 0.20363319253859422, -0.4548984653730359, -0.16450088173668417, 0.023881782467166584, 0.1727132933398631, 0.1523876684756639, -0.0008985813247919497, -0.3448324042061965, 0.023143363249902096, -0.22431623770131004, -0.16081597165773726, -0.08639613844247328, 0.016369645225091115, -0.07129567954689264, -0.24911728368089017, 0.09227474675410324, 0.09365834364952105, -0.024319703620373428, -0.1464765298490723, -0.15441183660489818, 0.014852989568478532, 0.04250861101576851, 0.025655644486606535, -0.0278274985935746, 0.07628490359315442, -0.13437771310822832, -0.13202661076664096, 0.3187403534797745, -0.1987002193927765, -0.193808120313204, 0.18288807881375155, -0.11923246376682073, -0.1224552284563995, 0.06938830095653732, 0.2161706429388788, 0.1475031472121676, -0.10898689216830665, 0.16168441964449207, -0.055367169358457126, 0.13411796059355968, 0.07317608147342172, 0.039171502045873136, 0.079686843319602, 0.12418463870805378, 0.06873149680905044, 0.16912630614307192, -0.06746757720571218, -0.08435589163046744, -0.26012697003574836, -0.13386130292363102, -0.1593706381196777, 0.07831739088740303, -0.015171652373990381, -0.15557097033080128, 0.37082326463941073, 0.15680566305915514, 0.200622491667875, 0.07030529929842386, 0.25072011082536644, 0.20890584691531128, 0.005016100056107259, 0.13715865874352554, 0.3265573633576019, 0.21292646110911542, 0.04637445477096157, -0.24432050093956706, -0.046349065792229444, 0.1234708070082383] |
709.3857 | Confining solutions of $(n+1)$-dimensional Yang-Mills equations for flat
and curved space-time with $n \le 3$ | We obtain exact static solutions of the $(n+1)$-dimensional SU(3) Yang-Mills
equations for both flat and curved space-time cases with $n \le 3$. We find
that the solutions obtained are confining functions for $n = 1, 2, 3$. We apply
the $(3+1)$ curved space-time solution to the anti-de Sitter and Schwarzschild
metrics.
| hep-th | we obtain exact static solutions of the n1dimensional su3 yangmills equations for both flat and curved spacetime cases with n le 3 we find that the solutions obtained are confining functions for n 1 2 3 we apply the 31 curved spacetime solution to the antide sitter and schwarzschild metrics | [['we', 'obtain', 'exact', 'static', 'solutions', 'of', 'the', 'n1dimensional', 'su3', 'yangmills', 'equations', 'for', 'both', 'flat', 'and', 'curved', 'spacetime', 'cases', 'with', 'n', 'le', '3', 'we', 'find', 'that', 'the', 'solutions', 'obtained', 'are', 'confining', 'functions', 'for', 'n', '1', '2', '3', 'we', 'apply', 'the', '31', 'curved', 'spacetime', 'solution', 'to', 'the', 'antide', 'sitter', 'and', 'schwarzschild', 'metrics']] | [-0.14152730584144593, 0.12203880006447435, -0.04493573161307722, 0.12871973419561983, -0.03746605347841978, -0.20515847589820624, -0.08704957131296397, 0.3565333754569292, -0.06977001662366092, -0.25539334943285213, 0.11676109435968102, -0.329453800059855, -0.1430189135670662, 0.08314909664914012, -0.017833350207656622, 0.0580600799061358, -0.03241857664659619, 0.037957767806947235, -0.16426851488184183, -0.29334026254713536, 0.37830027252435683, -0.0617065254598856, 0.24651489928364753, -0.007767478749155998, 0.15085169692523778, -0.0036048095067963003, 0.007433029701933265, 0.07128997308926045, -0.23886727192046237, 0.051570043377578256, 0.23543716214597224, 0.10409560984000564, 0.10205930790863932, -0.4071351318061352, -0.21568541560322047, 0.07966064377687872, 0.21657322080805896, 0.15773424662649632, -0.03923762928694487, -0.3148680682945997, 0.11984021171927452, -0.11564398521557451, -0.23815035726875067, -0.07253577327355742, 0.0721059186104685, -0.0763373513147235, -0.24023108430206774, 0.10582964591681958, 0.04309649949893355, -0.04267529521137476, -0.1838881188351661, -0.10220320039428771, -0.028442596402019262, 0.10056748873554171, 0.08077476620208472, 0.06393210149370133, 0.0661349375359714, -0.09989626496448181, -0.10526545234024524, 0.3517865665629506, -0.09384208109229802, -0.3453412435948849, 0.1320245810970664, -0.2134458013623953, -0.08386840847320855, 0.09759536345954985, 0.1373173910845071, 0.25731268025934695, -0.054864539047703144, 0.2819495102646761, 0.002254808433353901, 0.1496043499931693, 0.18443762148730458, -0.014743233527988196, 0.1442538528330624, 0.04267055436968804, 0.0658522766979877, 0.12472311858087778, -0.011430388567969203, -0.11965741762891412, -0.4132560656964779, -0.17243469821522012, -0.06445769552141428, 0.1691641465574503, -0.29989498177485074, -0.207234565038234, 0.27922803334891794, 0.0450652308575809, 0.09312365340068936, 0.1215288150496781, 0.15917571313679219, 0.05867799375206232, -0.07221452826634049, 0.19920512672513724, 0.2699757429584861, 0.10422610716428608, 0.1382679033279419, -0.16661832869052887, -0.24919831674546003, 0.16191862486302852] |
709.3858 | Noise limits in the assembly of diffraction data | We obtain an information theoretic criterion for the feasibility of
assembling diffraction signals from noisy tomographs when the positions of the
tomographs within the signal are unknown. For shot-noise limited data, the
minimum number of detected photons per tomograph for successful assembly is
much smaller than previously believed necessary, growing only logarithmically
with the number of resolution elements of the diffracting object. We also
demonstrate assembly up to the information theoretic limit with a
constraint-based algorithm.
| physics.comp-ph | we obtain an information theoretic criterion for the feasibility of assembling diffraction signals from noisy tomographs when the positions of the tomographs within the signal are unknown for shotnoise limited data the minimum number of detected photons per tomograph for successful assembly is much smaller than previously believed necessary growing only logarithmically with the number of resolution elements of the diffracting object we also demonstrate assembly up to the information theoretic limit with a constraintbased algorithm | [['we', 'obtain', 'an', 'information', 'theoretic', 'criterion', 'for', 'the', 'feasibility', 'of', 'assembling', 'diffraction', 'signals', 'from', 'noisy', 'tomographs', 'when', 'the', 'positions', 'of', 'the', 'tomographs', 'within', 'the', 'signal', 'are', 'unknown', 'for', 'shotnoise', 'limited', 'data', 'the', 'minimum', 'number', 'of', 'detected', 'photons', 'per', 'tomograph', 'for', 'successful', 'assembly', 'is', 'much', 'smaller', 'than', 'previously', 'believed', 'necessary', 'growing', 'only', 'logarithmically', 'with', 'the', 'number', 'of', 'resolution', 'elements', 'of', 'the', 'diffracting', 'object', 'we', 'also', 'demonstrate', 'assembly', 'up', 'to', 'the', 'information', 'theoretic', 'limit', 'with', 'a', 'constraintbased', 'algorithm']] | [-0.083362448776729, 0.12257977458667531, -0.042705801793521174, 0.07250688288446613, -0.07436070125550032, -0.1232353200535535, 0.05643322998596551, 0.3633865422418335, -0.2643712529312133, -0.39989144971447166, 0.11248053227992434, -0.29053913323992964, -0.08495687450417072, 0.22019901207501166, -0.05644210904383248, 0.06802463688348469, 0.0674104220601485, 0.09473222717152614, -0.03829408305893211, -0.24465629351815502, 0.2429061383162135, 0.10491835273263093, 0.2703804375946914, -0.0039669825131759835, 0.13585415056216957, 0.04915313488852821, -0.05483529960589582, -0.007609751406370809, -0.12254010100456837, 0.11523824303386439, 0.24498028124952198, 0.17626040687441433, 0.24974436449701898, -0.4113547380670513, -0.19152113776745913, 0.1152714776291855, 0.17162504745034599, 0.12561739701777697, -0.06256719681091215, -0.26647495512703534, 0.12606738675018087, -0.08784790942445397, -0.07298515320412423, -0.015472364636432184, -0.002531236233679872, 0.005635588080622256, -0.26334232519576817, 0.06238096676985917, 0.009317835048453784, 0.07008900484499081, -0.028426655173748976, -0.09157116839809246, 0.02021684835811979, 0.14478445173383653, -0.027674679083774162, 0.008907692877600263, 0.14452070476928433, -0.15036205096954577, -0.08195979650573511, 0.3534355178524397, 0.004157653043780317, -0.15124537269462293, 0.1511578926032311, -0.1694441118008016, -0.13525565266364106, 0.24965248777727156, 0.11544053416352988, 0.13273319917559429, -0.15690965287323802, 0.010720875751423208, -0.03259337214311879, 0.23960075652422874, 0.0756428418405305, 0.11189932671473607, 0.19661563949806518, 0.204690332227313, 0.09814161020576169, 0.15578012608334815, -0.1462923690468367, -0.032767124804913214, -0.27545777495297924, -0.11120742833928059, -0.21860011915161617, 0.024504290954945118, -0.10009654618088941, -0.12532844150585956, 0.32816232450453464, 0.1691761063166747, 0.17892922239231043, 0.08407720481658257, 0.36719663769594935, 0.07434153034792919, 0.09577392737724279, 0.017784465735435094, 0.23563561931644617, 0.15506221095443165, 0.06739097045685508, -0.19644006669190467, 0.07764228508734193, 0.006837232700107913] |
709.3859 | Remarks on the waterbag model of dispersionless Toda Hierarchy | We construct the free energy associated with the waterbag model of dToda.
Also, the relations of conserved densities are investigated
| nlin.SI | we construct the free energy associated with the waterbag model of dtoda also the relations of conserved densities are investigated | [['we', 'construct', 'the', 'free', 'energy', 'associated', 'with', 'the', 'waterbag', 'model', 'of', 'dtoda', 'also', 'the', 'relations', 'of', 'conserved', 'densities', 'are', 'investigated']] | [-0.15258324090391398, 0.20596469365991651, -0.038099144399166104, 0.1466975338757038, 0.028896075440570712, -0.08483816720545292, -0.05859743824694306, 0.35146385356783866, -0.2401312982663512, -0.28964524720795454, 0.04332741864491254, -0.2821838902309537, -0.07963673789054156, 0.13982409703312443, 0.04077536980621517, 0.021142150834202768, 0.0037015301641076803, 0.10665335189551114, -0.13772525852546097, -0.13186845807358621, 0.3807315220590681, 0.054801494162529704, 0.2860373532399535, 0.02014205469749868, 0.16212939023971557, -0.04791600579628721, -0.064816237334162, 0.031223940290510656, -0.2752902813255787, 0.15321405006106942, 0.15803508078679443, 0.06822604713961482, 0.13854447696357966, -0.4034982241690159, -0.21429382725618779, 0.1056264185346663, 0.06862550058867782, 0.06263004175852985, -0.03045313316397369, -0.1998584708198905, 0.05017405040562153, -0.2403402565047145, -0.21382552497088908, -0.06433096872642637, -0.018175370711833238, 0.14649098319932818, -0.19553957739844918, 0.19722859327303013, -0.014916063100099564, 0.0013149583246558905, -0.18910721011925488, -0.09779331388417631, -0.16844114940613508, 0.08490125776734203, 0.058499911980470644, -0.06786798087414354, 0.05650625575799495, -0.14631686345674097, -0.0713191674090922, 0.35096586495637894, -0.01433162335306406, -0.256517231836915, 0.1783789087436162, -0.10602282164618373, -0.13068740877788515, 0.1098035294096917, 0.08742603464052082, 0.1134281329344958, -0.19656789423897864, 0.11591826099902391, -0.06702002435922623, 0.0944087415933609, 0.042940948414616285, 0.019529399881139397, 0.17704400150105357, 0.09657885134220123, 0.0006946847308427096, 0.16265491684898734, -0.09143697277468163, -0.16863026674836873, -0.3663651017472148, -0.13990410934202374, -0.14778038202784954, 0.03280696086585522, -0.04362879069522023, -0.15869338542688638, 0.3864331290125847, 0.16506527005694807, 0.17743461395148188, 0.0960101946722716, 0.19565927926450968, 0.24432932602940127, 0.07583872416289524, 0.09566228636540472, 0.15633180825971066, 0.1847551448037848, 0.03707402283325791, -0.23541559875011445, -0.0326389498077333, 0.08065186440944672] |
709.386 | Estimating copula measure using ranks and subsampling: a simulation
study | We describe here a new method to estimate copula measure. From N observations
of two variables X and Y, we draw a huge number m of subsamples (size n<N), and
we compute the joint ranks in these subsamples. Then, for each bivariate rank
(p,q) (0<p,q<n+1), we count the number of subsamples such that there exist an
observation of the subsample with bivariate rank (p,q). This counting gives an
estimate of the density of the copula. The simulation study shows that this
method seems to gives a better than the usual kernel method. The main advantage
of this new method is then we do not need to choose and justify the kernel. In
exchange, we have to choose a subsample size: this is in fact a problem very
similar to the bandwidth choice. We have then reduced the overall difficulty.
| stat.ME | we describe here a new method to estimate copula measure from n observations of two variables x and y we draw a huge number m of subsamples size nn and we compute the joint ranks in these subsamples then for each bivariate rank pq 0pqn1 we count the number of subsamples such that there exist an observation of the subsample with bivariate rank pq this counting gives an estimate of the density of the copula the simulation study shows that this method seems to gives a better than the usual kernel method the main advantage of this new method is then we do not need to choose and justify the kernel in exchange we have to choose a subsample size this is in fact a problem very similar to the bandwidth choice we have then reduced the overall difficulty | [['we', 'describe', 'here', 'a', 'new', 'method', 'to', 'estimate', 'copula', 'measure', 'from', 'n', 'observations', 'of', 'two', 'variables', 'x', 'and', 'y', 'we', 'draw', 'a', 'huge', 'number', 'm', 'of', 'subsamples', 'size', 'nn', 'and', 'we', 'compute', 'the', 'joint', 'ranks', 'in', 'these', 'subsamples', 'then', 'for', 'each', 'bivariate', 'rank', 'pq', '0pqn1', 'we', 'count', 'the', 'number', 'of', 'subsamples', 'such', 'that', 'there', 'exist', 'an', 'observation', 'of', 'the', 'subsample', 'with', 'bivariate', 'rank', 'pq', 'this', 'counting', 'gives', 'an', 'estimate', 'of', 'the', 'density', 'of', 'the', 'copula', 'the', 'simulation', 'study', 'shows', 'that', 'this', 'method', 'seems', 'to', 'gives', 'a', 'better', 'than', 'the', 'usual', 'kernel', 'method', 'the', 'main', 'advantage', 'of', 'this', 'new', 'method', 'is', 'then', 'we', 'do', 'not', 'need', 'to', 'choose', 'and', 'justify', 'the', 'kernel', 'in', 'exchange', 'we', 'have', 'to', 'choose', 'a', 'subsample', 'size', 'this', 'is', 'in', 'fact', 'a', 'problem', 'very', 'similar', 'to', 'the', 'bandwidth', 'choice', 'we', 'have', 'then', 'reduced', 'the', 'overall', 'difficulty']] | [-0.07411933641718782, 0.04134332201215, -0.12261764795613894, 0.08528586820382085, -0.0883290013163418, -0.10915760175945859, 0.08339383842194102, 0.41959047862800997, -0.23677317776710496, -0.3081578167249867, 0.048578785473406584, -0.2678007090707188, -0.11046559685770341, 0.15455703388653236, -0.0873638877267207, 0.0025456471442906322, 0.027910806360128132, 0.030720667204941095, -0.07298405476224919, -0.2965268057609058, 0.3294420556892452, 0.003423721475553685, 0.2612194106677898, -0.009585190510404283, 0.09940416119702539, -0.0034168716148891744, -0.06378899555167426, 0.013326987235273735, -0.15050489003519085, 0.12766581535275243, 0.24151701415362564, 0.16163877511744562, 0.3019524559216655, -0.3452250026031465, -0.14498951120734, 0.18968882253461017, 0.13455526914069618, 0.08887803974136224, -0.015449479816184528, -0.19903145734207245, 0.11901687205755625, -0.18852086938863646, -0.1239484308955624, -0.09108606721881939, 0.020869953719818073, 0.021569172197959615, -0.3128785558004418, 0.037951796352728336, 0.05699013749582936, 0.008369099584988493, -0.01827645093958447, -0.13932236038364362, 0.03418180926878383, 0.09653064998312165, 0.07161866966634989, 0.027637002603285877, 0.052732893478368285, -0.07760539518642252, -0.051296145287409854, 0.31506427085243055, -0.02458643218710347, -0.20777041061470905, 0.1850749458096908, -0.16189455812074838, -0.18437870753848035, 0.10203298866964769, 0.18657532866801257, 0.10493766412896482, -0.11807015028687706, 0.058794904566467805, -0.09777667328244602, 0.21529601792386477, 0.030613706485989194, -0.014318701345473528, 0.1363160650016389, 0.13763654495899877, 0.09818430979857626, 0.13645268354794363, -0.1331691043333326, -0.014528204229714322, -0.30896862517313467, -0.17700916051230245, -0.2233926721315399, 0.06506805129164064, -0.14835840395444658, -0.16778404867627483, 0.39888801848080574, 0.1999770270532294, 0.25715875296273094, 0.09263208831754932, 0.2701741444365378, 0.1286633320800636, 0.05274615261072725, 0.07977672805334779, 0.16946428533697475, 0.11198364028140255, 0.0292524260846709, -0.1729572753171416, 0.058110472623029374, 0.07197629021433438] |
709.3861 | Amplification of High Harmonics Using Weak Perturbative High Frequency
Radiation | The mechanism underlying the substantial amplification of the high-order
harmonics q \pm 2K (K integer) upon the addition of a weak seed XUV field of
harmonic frequency q\omega to a strong IR field of frequency \omega is analyzed
in the framework of the quantum-mechanical Floquet formalism and the
semiclassical re-collision model. According to the Floquet analysis, the
high-frequency field induces transitions between several Floquet states and
leads to the appearance of new dipole cross terms. The semiclassical
re-collision model suggests that the origin of the enhancement lies in the
time-dependent modulation of the ground electronic state induced by the XUV
field.
| physics.atom-ph | the mechanism underlying the substantial amplification of the highorder harmonics q pm 2k k integer upon the addition of a weak seed xuv field of harmonic frequency qomega to a strong ir field of frequency omega is analyzed in the framework of the quantummechanical floquet formalism and the semiclassical recollision model according to the floquet analysis the highfrequency field induces transitions between several floquet states and leads to the appearance of new dipole cross terms the semiclassical recollision model suggests that the origin of the enhancement lies in the timedependent modulation of the ground electronic state induced by the xuv field | [['the', 'mechanism', 'underlying', 'the', 'substantial', 'amplification', 'of', 'the', 'highorder', 'harmonics', 'q', 'pm', '2k', 'k', 'integer', 'upon', 'the', 'addition', 'of', 'a', 'weak', 'seed', 'xuv', 'field', 'of', 'harmonic', 'frequency', 'qomega', 'to', 'a', 'strong', 'ir', 'field', 'of', 'frequency', 'omega', 'is', 'analyzed', 'in', 'the', 'framework', 'of', 'the', 'quantummechanical', 'floquet', 'formalism', 'and', 'the', 'semiclassical', 'recollision', 'model', 'according', 'to', 'the', 'floquet', 'analysis', 'the', 'highfrequency', 'field', 'induces', 'transitions', 'between', 'several', 'floquet', 'states', 'and', 'leads', 'to', 'the', 'appearance', 'of', 'new', 'dipole', 'cross', 'terms', 'the', 'semiclassical', 'recollision', 'model', 'suggests', 'that', 'the', 'origin', 'of', 'the', 'enhancement', 'lies', 'in', 'the', 'timedependent', 'modulation', 'of', 'the', 'ground', 'electronic', 'state', 'induced', 'by', 'the', 'xuv', 'field']] | [-0.20470348235662325, 0.18778425941732482, -0.07769600206864485, 0.048436773324265416, -0.02990105517651185, -0.06834144828297051, 0.07446361015583065, 0.34920352439184, -0.24773579912426152, -0.2600607917653305, -0.03841165992740247, -0.2439902239101063, -0.12476266945924351, 0.1704729355878593, 0.037951322345035426, 0.03263916342984885, -0.012693713013414699, 0.036481785311335974, -0.017241900830557294, -0.10543728818757331, 0.3186260512246206, 0.051579435411287414, 0.29808544031906836, 0.05517449737803107, 0.04492013170764238, 0.027893727940350475, 0.04330675171614431, -0.06637782603797635, -0.09446747240757092, 0.12221922062620945, 0.20930504939048597, 0.03250652901026637, 0.26059085698706086, -0.42758572094677255, -0.2150835931891262, 0.04293903273110748, 0.12146669575059325, 0.1307753621425369, -0.01867988707479274, -0.2910640758847228, 0.0201821843770766, -0.13165910981853704, -0.15345133733612917, -0.0851083913412277, 0.024785696252221517, 0.003300806502857716, -0.2860608736680138, 0.08440293221835896, 0.12199439400447404, 0.052229670896759665, -0.10018533796284089, -0.06826412763520337, -0.0419430128381689, 0.0675302024626422, 0.04909782914334152, 0.08122324504391613, 0.126703781306301, -0.12939723746823423, -0.1299350962174208, 0.3543451899100132, -0.13171499826493535, -0.09486356639017415, 0.12093978292207316, -0.22294533239345593, -0.03813547722183832, 0.20355973788767612, 0.10904782559114075, 0.12160623137202889, -0.09737944389730323, 0.13625151624364662, 0.014045615837273031, 0.18343439624451174, 0.0842607362209681, 0.08154990526358827, 0.2223132779489797, 0.09047624325877664, 0.031360855916201476, 0.12656381236167974, -0.13692680754615824, -0.10902415340452797, -0.31888436035502077, -0.0878332608819511, -0.20514704418912677, 0.06985936361932113, -0.10559442626873704, -0.17616287993248736, 0.48286555264384884, 0.14715422934271616, 0.17227802458818597, -0.06343902652105778, 0.28312244878547027, 0.2267023115096116, 0.011689679443578023, -0.00944644302742943, 0.28739945277903634, 0.21410071952867848, 0.08175910114873164, -0.3467710975161062, -0.027956405617665537, 0.0578030785684022] |
709.3862 | Current-Induced Torques in Magnetic Metals: Beyond Spin Transfer | Current-induced torques on ferromagnetic nanoparticles and on domain walls in
ferromagnetic nanowires are normally understood in terms of transfer of
conserved spin angular momentum between spin-polarized currents and the
magnetic condensate. In a series of recent articles we have discussed a
microscopic picture of current-induced torques in which they are viewed as
following from exchange fields produced by the misaligned spins of current
carrying quasiparticles. This picture has the advantage that it can be applied
to systems in which spin is not approximately conserved. More importantly, this
point of view makes it clear that current-induced torques can also act on the
order parameter of an antiferromagnetic metal, even though this quantity is not
related to total spin. In this informal and intentionally provocative review we
explain this picture and discuss its application to antiferromagnets.
| cond-mat.mes-hall | currentinduced torques on ferromagnetic nanoparticles and on domain walls in ferromagnetic nanowires are normally understood in terms of transfer of conserved spin angular momentum between spinpolarized currents and the magnetic condensate in a series of recent articles we have discussed a microscopic picture of currentinduced torques in which they are viewed as following from exchange fields produced by the misaligned spins of current carrying quasiparticles this picture has the advantage that it can be applied to systems in which spin is not approximately conserved more importantly this point of view makes it clear that currentinduced torques can also act on the order parameter of an antiferromagnetic metal even though this quantity is not related to total spin in this informal and intentionally provocative review we explain this picture and discuss its application to antiferromagnets | [['currentinduced', 'torques', 'on', 'ferromagnetic', 'nanoparticles', 'and', 'on', 'domain', 'walls', 'in', 'ferromagnetic', 'nanowires', 'are', 'normally', 'understood', 'in', 'terms', 'of', 'transfer', 'of', 'conserved', 'spin', 'angular', 'momentum', 'between', 'spinpolarized', 'currents', 'and', 'the', 'magnetic', 'condensate', 'in', 'a', 'series', 'of', 'recent', 'articles', 'we', 'have', 'discussed', 'a', 'microscopic', 'picture', 'of', 'currentinduced', 'torques', 'in', 'which', 'they', 'are', 'viewed', 'as', 'following', 'from', 'exchange', 'fields', 'produced', 'by', 'the', 'misaligned', 'spins', 'of', 'current', 'carrying', 'quasiparticles', 'this', 'picture', 'has', 'the', 'advantage', 'that', 'it', 'can', 'be', 'applied', 'to', 'systems', 'in', 'which', 'spin', 'is', 'not', 'approximately', 'conserved', 'more', 'importantly', 'this', 'point', 'of', 'view', 'makes', 'it', 'clear', 'that', 'currentinduced', 'torques', 'can', 'also', 'act', 'on', 'the', 'order', 'parameter', 'of', 'an', 'antiferromagnetic', 'metal', 'even', 'though', 'this', 'quantity', 'is', 'not', 'related', 'to', 'total', 'spin', 'in', 'this', 'informal', 'and', 'intentionally', 'provocative', 'review', 'we', 'explain', 'this', 'picture', 'and', 'discuss', 'its', 'application', 'to', 'antiferromagnets']] | [-0.18155806479278827, 0.1906819369813554, -0.04106482488812128, 0.06421036243442196, -0.10358045233496979, -0.07414988600718442, 0.029946810713579963, 0.42519656179556203, -0.25231623466612263, -0.2866029914107118, 0.02374890872186967, -0.28069344714784356, -0.1281530326232314, 0.20836049702961984, -0.02826440280803771, -0.06608870075086007, -0.01115099761509962, -0.01850001140386422, -0.06035472478616788, -0.21047756440047896, 0.28893121128626875, 0.00017390276110772765, 0.2598967000324307, 0.09468857406503034, 0.06493284152004061, -0.00015961888260138568, 0.06692814065921884, 0.04199227605730907, -0.11614828644054959, 0.0741186162123262, 0.26426566204528756, -0.039809409968568875, 0.18084412951147488, -0.5069806284702091, -0.17296737285831304, 0.04186218391770302, 0.18114425265577747, 0.19411012211487866, -0.0405302391681384, -0.26691307096894995, 0.04129070516175298, -0.20588925671624714, -0.10720510968378981, -0.15930742019120214, 0.03680459993766315, -0.01195079879835248, -0.22128967603724173, 0.11789035434124873, 0.1623126674168083, 0.081484326731358, -0.06138520498165805, -0.1016997883040736, -0.07886887926594424, 0.07738857225640051, 0.11738977687600166, 0.0974433981716188, 0.1791370104053127, -0.13158568579168406, -0.16050054073166936, 0.34086962598862486, -0.02455066263401158, -0.22929845437400542, 0.1776929571147341, -0.19841301487411248, -0.06522177999714084, 0.09569229038585145, 0.14659262668235, 0.1296404143673743, -0.19651037065395668, 0.041430706462350246, -0.01566047510027941, 0.13739617672551652, 0.03456741157196351, 0.06128682927298012, 0.33954157842733246, 0.16046112300628282, 0.05167536387643985, 0.1223043134851284, -0.05848369821940841, -0.12007965490486083, -0.237038211584258, -0.16256639788469382, -0.26143053245605596, 0.12463131741166233, -0.0024770077716719024, -0.1316550541043615, 0.370819351788777, 0.2097619864968027, 0.17004425436564125, -0.07271052917826977, 0.28393041472117514, 0.09418548339779781, 0.10754780930361829, 0.03142295697523253, 0.25672277239318103, 0.1562048330722349, 0.15472899433294895, -0.24296683299445562, 0.0699224713850947, -0.012017122579307588] |
709.3863 | Exact and Perturbed Friedmann-Lemaitre Cosmologies | In this thesis we first apply the 1+3 covariant description of general
relativity to analyze n-fluid Friedmann-Lemaitre (FL) cosmologies; that is,
homogeneous and isotropic cosmologies whose matter-energy content consists of n
non-interacting fluids. We are motivated to study FL models of this type as
observations suggest the physical universe is closely described by a FL model
with a matter content consisting of radiation, dust and a cosmological
constant. Secondly, we use the 1+3 covariant description to analyse scalar,
vector and tensor perturbations of FL cosmologies containing a perfect fluid
and a cosmological constant. In particular, we provide a thorough discussion of
the behaviour of perturbations in the physically interesting cases of a dust or
radiation background.
| gr-qc | in this thesis we first apply the 13 covariant description of general relativity to analyze nfluid friedmannlemaitre fl cosmologies that is homogeneous and isotropic cosmologies whose matterenergy content consists of n noninteracting fluids we are motivated to study fl models of this type as observations suggest the physical universe is closely described by a fl model with a matter content consisting of radiation dust and a cosmological constant secondly we use the 13 covariant description to analyse scalar vector and tensor perturbations of fl cosmologies containing a perfect fluid and a cosmological constant in particular we provide a thorough discussion of the behaviour of perturbations in the physically interesting cases of a dust or radiation background | [['in', 'this', 'thesis', 'we', 'first', 'apply', 'the', '13', 'covariant', 'description', 'of', 'general', 'relativity', 'to', 'analyze', 'nfluid', 'friedmannlemaitre', 'fl', 'cosmologies', 'that', 'is', 'homogeneous', 'and', 'isotropic', 'cosmologies', 'whose', 'matterenergy', 'content', 'consists', 'of', 'n', 'noninteracting', 'fluids', 'we', 'are', 'motivated', 'to', 'study', 'fl', 'models', 'of', 'this', 'type', 'as', 'observations', 'suggest', 'the', 'physical', 'universe', 'is', 'closely', 'described', 'by', 'a', 'fl', 'model', 'with', 'a', 'matter', 'content', 'consisting', 'of', 'radiation', 'dust', 'and', 'a', 'cosmological', 'constant', 'secondly', 'we', 'use', 'the', '13', 'covariant', 'description', 'to', 'analyse', 'scalar', 'vector', 'and', 'tensor', 'perturbations', 'of', 'fl', 'cosmologies', 'containing', 'a', 'perfect', 'fluid', 'and', 'a', 'cosmological', 'constant', 'in', 'particular', 'we', 'provide', 'a', 'thorough', 'discussion', 'of', 'the', 'behaviour', 'of', 'perturbations', 'in', 'the', 'physically', 'interesting', 'cases', 'of', 'a', 'dust', 'or', 'radiation', 'background']] | [-0.1558553274558938, 0.12941476692971976, -0.10531466637381211, 0.06972698376554509, -0.1062043239099338, -0.13661799449068696, -0.05425403533078244, 0.2961421711410841, -0.1836008272457706, -0.2835831684951225, 0.05212170872533613, -0.26866625418643586, -0.10998075315121399, 0.10333344820562912, -0.009077999173947002, -0.016271706006449203, -0.03920378237152877, 0.003939480899640804, -0.08373618952565542, -0.24276030799070292, 0.3781514744962687, 0.08076230994547191, 0.21635140147384094, -0.04403330731894011, 0.10762871560519156, -0.03893035255048586, -0.10463065697771051, 0.060808457489965016, -0.20025188334763264, 0.07507455708337543, 0.2204152181442465, 0.09950334517609166, 0.18969543234080724, -0.41004386686760447, -0.26762213849907984, 0.09941952311150405, 0.08907551946442412, 0.15929996975819055, -0.04099509759360681, -0.2431706596530326, 0.0475822079820437, -0.19615661300840262, -0.17438517982626092, -0.0537075818941483, 0.02517916149581256, -0.040109743874358096, -0.2310645108880556, 0.14292214390538308, 0.03710696595194547, -0.0038459239203644836, -0.12346167369421733, -0.059572448368872634, 0.029120162546472705, -0.0025022672266577896, 0.07668496267363915, -0.0011541762288011935, 0.12820576814853626, -0.16049512218602974, -0.05199678383625882, 0.4602731972608877, -0.1651138167747337, -0.1951077548382075, 0.15710517704162907, -0.14321309162465776, -0.1374881452232923, 0.06782377565320095, 0.1532502634126855, 0.11321076815542967, -0.16654060257031866, 0.14862594235411328, -0.04926360042401306, 0.1617201679021768, 0.07294240288193458, 0.01881281872553265, 0.2990713111408379, 0.1389554776393039, -0.03534707281353843, 0.12344275237587483, 0.01871057960164288, -0.11003896204511757, -0.3971375117483346, -0.16962699504650158, -0.13083471313280903, 0.11245354792994001, -0.11103153919507547, -0.1951245779131094, 0.3930238623172045, 0.09501714213224857, 0.1866620320912815, 0.04926812424041007, 0.2689799612954907, 0.010338310151279945, -0.0506056834295716, 0.09553448489016812, 0.2481248089071849, 0.15543482766446212, 0.12308236298799191, -0.16801340725353878, -0.053529989079612754, 0.013532527706221395] |
709.3864 | A lower bound on the subriemannian distance for H\"older distributions | Whereas subriemannian geometry usually deals with smooth horizontal
distributions, partially hyperbolic dynamical systems provide many examples of
subriemannian geometries defined by non-smooth (namely, H\"older continuous)
distributions. These distributions are of great significance for the behavior
of the parent dynamical system. The study of H\"older subriemannian geometries
could therefore offer new insights into both dynamics and subriemannian
geometry. In this paper we make a small step in that direction: we prove a
H\"older-type lower bound on the subriemannian distance for H\"older continuous
nowhere integrable codimension one distributions. This bound generalizes the
well-known square root bound valid in the smooth case.
| math.MG math.DG | whereas subriemannian geometry usually deals with smooth horizontal distributions partially hyperbolic dynamical systems provide many examples of subriemannian geometries defined by nonsmooth namely holder continuous distributions these distributions are of great significance for the behavior of the parent dynamical system the study of holder subriemannian geometries could therefore offer new insights into both dynamics and subriemannian geometry in this paper we make a small step in that direction we prove a holdertype lower bound on the subriemannian distance for holder continuous nowhere integrable codimension one distributions this bound generalizes the wellknown square root bound valid in the smooth case | [['whereas', 'subriemannian', 'geometry', 'usually', 'deals', 'with', 'smooth', 'horizontal', 'distributions', 'partially', 'hyperbolic', 'dynamical', 'systems', 'provide', 'many', 'examples', 'of', 'subriemannian', 'geometries', 'defined', 'by', 'nonsmooth', 'namely', 'holder', 'continuous', 'distributions', 'these', 'distributions', 'are', 'of', 'great', 'significance', 'for', 'the', 'behavior', 'of', 'the', 'parent', 'dynamical', 'system', 'the', 'study', 'of', 'holder', 'subriemannian', 'geometries', 'could', 'therefore', 'offer', 'new', 'insights', 'into', 'both', 'dynamics', 'and', 'subriemannian', 'geometry', 'in', 'this', 'paper', 'we', 'make', 'a', 'small', 'step', 'in', 'that', 'direction', 'we', 'prove', 'a', 'holdertype', 'lower', 'bound', 'on', 'the', 'subriemannian', 'distance', 'for', 'holder', 'continuous', 'nowhere', 'integrable', 'codimension', 'one', 'distributions', 'this', 'bound', 'generalizes', 'the', 'wellknown', 'square', 'root', 'bound', 'valid', 'in', 'the', 'smooth', 'case']] | [-0.14799976759035177, 0.07097081602974371, -0.09368873880517603, 0.13051736967713393, -0.10074165125725547, -0.1790733530369559, -0.046236122538561394, 0.36440547834141085, -0.31390186914271023, -0.20243647673421286, 0.09651360802371244, -0.2644230830247956, -0.14547203528939398, 0.2421952181241729, -0.13696077710600815, 0.08575779158913653, 0.04110912929025638, 0.027795839217794834, -0.1275434185435638, -0.21941424171073418, 0.3911660479551012, -0.037445011990840986, 0.2621381170671396, 0.05575694572509765, 0.10263006150195694, -0.003254024474176042, 0.022190864381352156, 0.017968410583720965, -0.21261129438245935, 0.13416224986907432, 0.2463035395538265, 0.03348613496766322, 0.2652101188855754, -0.3783947346412172, -0.23569840384703694, 0.1507213077122214, 0.1478595041900384, 0.026029155020792547, -0.05577326094557653, -0.2875182082796601, 0.02312704613620434, -0.06841884001459211, -0.23303189221299206, -0.06289652564722781, 0.0040899147491224785, 0.06149488763244013, -0.18723461892446408, 0.11591257145063895, 0.15117111893998686, 0.09918015803012883, -0.10004926295574716, -0.11654863378498703, -0.039264513391324064, 0.09661523683579883, 0.018563675270839172, 0.037979402687551095, 0.09444802787832239, -0.04347569930527096, -0.09201970131070626, 0.34069429055759404, -0.027203536233770653, -0.3090282160544185, 0.17442317848855798, -0.21251834874897443, -0.18417335347733413, 0.10950774661820344, 0.23716205232447446, 0.15677512311988107, -0.16478867914452397, 0.13703200808959082, -0.04403117035675531, 0.07330465093819481, 0.0684473248847732, 0.025846617649111784, 0.1228315324118041, 0.14662547786767133, 0.19108689737193418, 0.16333721978872112, -0.03162042724881133, -0.15441931522630079, -0.34361092302586055, -0.15966149439713023, -0.1660477052809614, 0.134942859580571, -0.17499413594325436, -0.19377462342945914, 0.3616638762236695, 0.059436437777347036, 0.20265017055689988, 0.13527839877078254, 0.22582350334510057, 0.05139462064041502, -0.014588221503101816, 0.11451493992912348, 0.2092268545641517, 0.13909749548430694, 0.035465244152065784, -0.10651219207699401, 0.04891100820186877, 0.12611954982834633] |
709.3865 | Symmetry-Induced Tunnelling in One-Dimensional Disordered Potentials | A new mechanism of tunnelling at macroscopic distances is proposed for a wave
packet localized in one-dimensional disordered potential with mirror symmetry,
V(-x)=V(x). Unlike quantum tunnelling through a regular potential barrier,
which occurs only at the energies lower then the barrier height, the proposed
mechanism of tunnelling exists even for weak white-noise-like scattering
potentials. It also exists in classical circuits of resonant contours with
random resonant frequencies. The latter property may be used as a new method of
secure communication, which does not require coding and decoding of the
transmitting signal.
| cond-mat.dis-nn | a new mechanism of tunnelling at macroscopic distances is proposed for a wave packet localized in onedimensional disordered potential with mirror symmetry vxvx unlike quantum tunnelling through a regular potential barrier which occurs only at the energies lower then the barrier height the proposed mechanism of tunnelling exists even for weak whitenoiselike scattering potentials it also exists in classical circuits of resonant contours with random resonant frequencies the latter property may be used as a new method of secure communication which does not require coding and decoding of the transmitting signal | [['a', 'new', 'mechanism', 'of', 'tunnelling', 'at', 'macroscopic', 'distances', 'is', 'proposed', 'for', 'a', 'wave', 'packet', 'localized', 'in', 'onedimensional', 'disordered', 'potential', 'with', 'mirror', 'symmetry', 'vxvx', 'unlike', 'quantum', 'tunnelling', 'through', 'a', 'regular', 'potential', 'barrier', 'which', 'occurs', 'only', 'at', 'the', 'energies', 'lower', 'then', 'the', 'barrier', 'height', 'the', 'proposed', 'mechanism', 'of', 'tunnelling', 'exists', 'even', 'for', 'weak', 'whitenoiselike', 'scattering', 'potentials', 'it', 'also', 'exists', 'in', 'classical', 'circuits', 'of', 'resonant', 'contours', 'with', 'random', 'resonant', 'frequencies', 'the', 'latter', 'property', 'may', 'be', 'used', 'as', 'a', 'new', 'method', 'of', 'secure', 'communication', 'which', 'does', 'not', 'require', 'coding', 'and', 'decoding', 'of', 'the', 'transmitting', 'signal']] | [-0.19077511947188114, 0.16392336997927892, -0.07363028444039325, 0.07922493820208021, -0.040863532345328066, -0.26314843214220474, 0.09987534229488422, 0.3667398349278503, -0.2918148400210258, -0.23477645236998795, 0.022710872034076603, -0.2465555084714045, -0.1667333509773016, 0.21058816419293483, 0.0045958599593076445, 0.06922994474362996, 0.013215252612200048, 0.05778956395677394, -0.0322734587541264, -0.19096681859551204, 0.28668086735738646, 0.07118935011611838, 0.30194545783516435, 0.1041268666067885, 0.0813936914019804, 0.06649148967117072, 0.10394904240965844, -0.03149330951984868, -0.09037286215720491, 0.053976609061161675, 0.2463529049884528, 0.0495112106980135, 0.23540000015248855, -0.4505035207192931, -0.25404699300933214, 0.10211053246425258, 0.18040084772122403, 0.1867126260133874, -0.11998667677657472, -0.2603104017674923, 0.05561149587026901, -0.11758549902329428, -0.13995002173663426, -0.012974725203174683, 0.010653178476625018, 0.021743503099100458, -0.28356048624652125, 0.09915974089300209, 0.06096101296134293, 0.006177911234812604, -0.026583807004822626, -0.02740861035676466, -0.04023085204470489, 0.05952409973575009, -0.013840807490568194, 0.019033012663324675, 0.12381420952086854, -0.09446391748626613, -0.13612160393192121, 0.34949328393623647, -0.037177148999439344, -0.17043223985884753, 0.1812157715825985, -0.12437125841776529, -0.06165278347002135, 0.21304367061497437, 0.1330863920143909, 0.10219639369493558, -0.1502664078615554, 0.08823813280129494, 0.0015592802317567272, 0.16330324918413275, 0.1490951788249529, 0.08915193325115575, 0.21233877569643989, 0.15292189091237054, 0.0884882544995182, 0.08568674013626555, -0.13135650349366995, -0.10233431880672773, -0.30348141050587096, -0.12764620629087503, -0.24496400794014334, 0.038932583970664486, -0.07245026479924693, -0.21333491251700454, 0.35735287997457715, 0.1264540574442233, 0.16138190027429825, 0.056429399702594515, 0.3080434067666324, 0.15169902682795913, 0.11872812727880147, 0.05089552047558957, 0.2501511643226776, 0.1181681241426203, 0.07857644837090952, -0.19955561666801158, 0.05478324491220216, 0.01960372563658489] |
709.3866 | Search for a Solution of the Pioneer Anomaly | In 1972 and 1973 the Pioneer 10 and 11 missions were launched. They were the
first to explore the outer solar system and achieved stunning breakthroughs in
deep-space exploration. But beginning in about 1980 an unmodeled force of \sim
8 \times 10^{-8} cm/s^2, directed approximately towards the Sun, appeared in
the tracking data. It later was unambiguously verified as being in the data and
not an artifact. The cause remains unknown (although radiant heat remains a
likely origin). With time more and more effort has gone into understanding this
anomaly (and also possibly related effects). We review the situation and
describe ongoing programs to resolve the issue.
| gr-qc | in 1972 and 1973 the pioneer 10 and 11 missions were launched they were the first to explore the outer solar system and achieved stunning breakthroughs in deepspace exploration but beginning in about 1980 an unmodeled force of sim 8 times 108 cms2 directed approximately towards the sun appeared in the tracking data it later was unambiguously verified as being in the data and not an artifact the cause remains unknown although radiant heat remains a likely origin with time more and more effort has gone into understanding this anomaly and also possibly related effects we review the situation and describe ongoing programs to resolve the issue | [['in', '1972', 'and', '1973', 'the', 'pioneer', '10', 'and', '11', 'missions', 'were', 'launched', 'they', 'were', 'the', 'first', 'to', 'explore', 'the', 'outer', 'solar', 'system', 'and', 'achieved', 'stunning', 'breakthroughs', 'in', 'deepspace', 'exploration', 'but', 'beginning', 'in', 'about', '1980', 'an', 'unmodeled', 'force', 'of', 'sim', '8', 'times', '108', 'cms2', 'directed', 'approximately', 'towards', 'the', 'sun', 'appeared', 'in', 'the', 'tracking', 'data', 'it', 'later', 'was', 'unambiguously', 'verified', 'as', 'being', 'in', 'the', 'data', 'and', 'not', 'an', 'artifact', 'the', 'cause', 'remains', 'unknown', 'although', 'radiant', 'heat', 'remains', 'a', 'likely', 'origin', 'with', 'time', 'more', 'and', 'more', 'effort', 'has', 'gone', 'into', 'understanding', 'this', 'anomaly', 'and', 'also', 'possibly', 'related', 'effects', 'we', 'review', 'the', 'situation', 'and', 'describe', 'ongoing', 'programs', 'to', 'resolve', 'the', 'issue']] | [-0.10621269553666934, 0.13691696032221323, -0.05672284557658713, 0.07236994586549873, -0.07738391449239766, -0.09051732113584876, 0.04251289994360131, 0.36563459538558724, -0.22483432038347714, -0.41177584941142076, 0.18076074795218655, -0.28381765659498137, -0.12332064657533001, 0.2073221052518097, -0.11884342531709854, 0.016313783006272585, 0.059097369245001086, -0.000470313689645345, -0.0407216585095467, -0.2563142183184554, 0.19871392543645244, 0.13772099553041647, 0.1771838925952945, 0.04669604778603137, 0.06175145800834713, -0.04790984784529292, -0.10788668648211425, -0.02031444698228353, -0.10051866153376961, 0.055449815736822436, 0.26562544991149106, 0.14112313796992404, 0.2789621637420398, -0.45986268327301627, -0.22212928607537646, 0.09279520517034526, 0.14001349005064814, 0.07676240684416702, -0.034566855542503175, -0.2956119526284268, 0.038032917949919386, -0.1487757824753002, -0.16610491881582223, 0.004440483898272582, 0.1059041327022225, -0.10092802889749547, -0.15595395254650127, 0.07062414301331939, 0.09050816342791665, 0.08856126422793648, -0.07421628488271245, -0.1140727902377442, 0.028175178863038528, 0.1546822037530419, 0.09488546523095813, 0.11943337591974257, 0.11513840164075319, -0.10897364930214935, -0.11410793329580365, 0.38105355736703794, -0.015502680969972895, -0.06007370028958142, 0.21191670175720112, -0.18103890922616853, -0.13759729034641635, 0.15012349738852582, 0.14852484280817976, 0.08715674810755615, -0.19325481103210945, 0.024911287780872884, 0.007602729355898973, 0.17232164103977346, 0.0904752594706054, -0.017423486788583065, 0.2524188648143383, 0.15864877899560345, 0.0385893851684006, 0.08369442477831007, -0.11938633301478123, -0.06783578009127039, -0.20365211513398268, -0.13850570650919228, -0.11276657466567774, 0.06176296042109226, 0.010187440000068632, -0.049269605280013284, 0.3417238193133271, 0.184358256364189, 0.19147760754398932, -0.04044913686920723, 0.26632777561442317, 0.06273534162749023, 0.08432655323244562, 0.12502164889788517, 0.31618716341452063, 0.10585960596538732, 0.18184592272413386, -0.17264320099047412, 0.08768801264291864, -0.008476823315929586] |
709.3867 | Rapid-purification protocols for optical homodyning | We present a number of rapid-purification feedback protocols for optical
homodyne detection of a single optical qubit. We derive first a protocol that
speeds up the rate of increase of the average purity of the system, and find
that like the equivalent protocol for a non-disspative measurement, this
generates a deterministic evolution for the purity in the limit of strong
feedback. We also consider two analogues of the Wiseman-Ralph
rapid-purification protocol in this setting, and show that like that protocol
they speed up the average time taken to reach a fixed level of purity. We also
examine how the performance of these algorithms changes with detection
efficiency, being an important practical consideration.
| quant-ph | we present a number of rapidpurification feedback protocols for optical homodyne detection of a single optical qubit we derive first a protocol that speeds up the rate of increase of the average purity of the system and find that like the equivalent protocol for a nondisspative measurement this generates a deterministic evolution for the purity in the limit of strong feedback we also consider two analogues of the wisemanralph rapidpurification protocol in this setting and show that like that protocol they speed up the average time taken to reach a fixed level of purity we also examine how the performance of these algorithms changes with detection efficiency being an important practical consideration | [['we', 'present', 'a', 'number', 'of', 'rapidpurification', 'feedback', 'protocols', 'for', 'optical', 'homodyne', 'detection', 'of', 'a', 'single', 'optical', 'qubit', 'we', 'derive', 'first', 'a', 'protocol', 'that', 'speeds', 'up', 'the', 'rate', 'of', 'increase', 'of', 'the', 'average', 'purity', 'of', 'the', 'system', 'and', 'find', 'that', 'like', 'the', 'equivalent', 'protocol', 'for', 'a', 'nondisspative', 'measurement', 'this', 'generates', 'a', 'deterministic', 'evolution', 'for', 'the', 'purity', 'in', 'the', 'limit', 'of', 'strong', 'feedback', 'we', 'also', 'consider', 'two', 'analogues', 'of', 'the', 'wisemanralph', 'rapidpurification', 'protocol', 'in', 'this', 'setting', 'and', 'show', 'that', 'like', 'that', 'protocol', 'they', 'speed', 'up', 'the', 'average', 'time', 'taken', 'to', 'reach', 'a', 'fixed', 'level', 'of', 'purity', 'we', 'also', 'examine', 'how', 'the', 'performance', 'of', 'these', 'algorithms', 'changes', 'with', 'detection', 'efficiency', 'being', 'an', 'important', 'practical', 'consideration']] | [-0.16209199748878778, 0.09273312180127366, -0.0683284044551017, 0.01690455528420841, 0.05099713901133352, -0.159819735180553, 0.12780427430999708, 0.39252098243650013, -0.23756306045185271, -0.3015168742360631, 0.096950664669527, -0.22073922921071742, -0.10256002910502322, 0.25039501545472526, -0.05414074972515238, 0.05362414931123321, 0.0858717222303689, 0.06629375930716125, -0.07574087962915131, -0.2704970262911137, 0.28633929461425356, 0.08051246793747686, 0.29738068242498616, 0.03519974742923771, 0.13748503958823177, 0.00883351202408137, -0.0017301512190963033, 0.016698365477291314, -0.10687202018783176, 0.09054100522222176, 0.18558596347265685, 0.15705059059299864, 0.28007826110062833, -0.36570577135494164, -0.17770741581874858, 0.12031790791582819, 0.12531252957981182, 0.14523340918140504, -0.07405186931551266, -0.24384274358886318, 0.07712671335006284, -0.20136570003773044, -0.10598919535924152, -0.0519515703692361, 0.0006068093903564118, 0.037744757668373465, -0.24863942697023353, 0.06333876462802207, 0.0786063934357518, 0.004334267228841782, -0.03101352723483164, -0.02654711901826935, 0.028339202289243002, 0.15430418722046255, -0.054568646086572865, -0.020252034842898767, 0.1433216685697705, -0.16682080457591125, -0.14667689535129178, 0.35984740755311, -0.09186577633325313, -0.1459332256921911, 0.16061683178686345, -0.11708307540388191, -0.14547958615160472, 0.1080349824466818, 0.2006338642373144, 0.10846918395527445, -0.10809004131960473, -0.00891347152814437, -0.0353776070096337, 0.21364488234210693, 0.0540369600602971, 0.11875736129444998, 0.1355634755350079, 0.16225486379200676, 0.1018989339118471, 0.17500463077748143, -0.0964215041205354, -0.058801836405486405, -0.3115883026909721, -0.2080343623565896, -0.12440176402126346, 0.07442216718200224, -0.0813682436277599, -0.11808311012321832, 0.38623317038673943, 0.21405919744456942, 0.18108587268622475, 0.0827817943970765, 0.3371656332406224, 0.1262018949187755, 0.02851142919714655, 0.0727541297841985, 0.2912057471600034, 0.09410628536820982, 0.09500002028705838, -0.2641002490176811, 0.062372854416812396, 0.002499563292272993] |
709.3868 | Observations of the Crab Nebula and Pulsar with VERITAS | Observations of the Crab Nebula have proven to be the best tool to calibrate
and to characterize the performance of a Cherenkov telescope. Scientifically,
it is interesting to measure the energy spectrum of the Crab Nebula close to
the inverse-Compton peak where a deviation is expected from the power law seen
at energies above 300 GeV. Additionally, it is important to search for pulsed
emission from the Crab Pulsar at energies beyond the 10 GeV upper limit of the
EGRET pulsar detection. Since current models predict a cut-off in pulsed
emission between 10 and 100 GeV, measurements at energies close to this range
may help to discriminate between them. We observed the Crab extensively in the
2006-2007 season during the VERITAS 2- and 3-telescope commissioning phases.
Using this data set we reconstructed a preliminary energy spectrum of the
signal from the Crab Nebula. We also measured the optical pulsed signal to
validate our GPS time-stamping and barycentering techniques and obtained an
upper limit for the pulsed emission at gamma-ray energies.
| astro-ph | observations of the crab nebula have proven to be the best tool to calibrate and to characterize the performance of a cherenkov telescope scientifically it is interesting to measure the energy spectrum of the crab nebula close to the inversecompton peak where a deviation is expected from the power law seen at energies above 300 gev additionally it is important to search for pulsed emission from the crab pulsar at energies beyond the 10 gev upper limit of the egret pulsar detection since current models predict a cutoff in pulsed emission between 10 and 100 gev measurements at energies close to this range may help to discriminate between them we observed the crab extensively in the 20062007 season during the veritas 2 and 3telescope commissioning phases using this data set we reconstructed a preliminary energy spectrum of the signal from the crab nebula we also measured the optical pulsed signal to validate our gps timestamping and barycentering techniques and obtained an upper limit for the pulsed emission at gammaray energies | [['observations', 'of', 'the', 'crab', 'nebula', 'have', 'proven', 'to', 'be', 'the', 'best', 'tool', 'to', 'calibrate', 'and', 'to', 'characterize', 'the', 'performance', 'of', 'a', 'cherenkov', 'telescope', 'scientifically', 'it', 'is', 'interesting', 'to', 'measure', 'the', 'energy', 'spectrum', 'of', 'the', 'crab', 'nebula', 'close', 'to', 'the', 'inversecompton', 'peak', 'where', 'a', 'deviation', 'is', 'expected', 'from', 'the', 'power', 'law', 'seen', 'at', 'energies', 'above', '300', 'gev', 'additionally', 'it', 'is', 'important', 'to', 'search', 'for', 'pulsed', 'emission', 'from', 'the', 'crab', 'pulsar', 'at', 'energies', 'beyond', 'the', '10', 'gev', 'upper', 'limit', 'of', 'the', 'egret', 'pulsar', 'detection', 'since', 'current', 'models', 'predict', 'a', 'cutoff', 'in', 'pulsed', 'emission', 'between', '10', 'and', '100', 'gev', 'measurements', 'at', 'energies', 'close', 'to', 'this', 'range', 'may', 'help', 'to', 'discriminate', 'between', 'them', 'we', 'observed', 'the', 'crab', 'extensively', 'in', 'the', '20062007', 'season', 'during', 'the', 'veritas', '2', 'and', '3telescope', 'commissioning', 'phases', 'using', 'this', 'data', 'set', 'we', 'reconstructed', 'a', 'preliminary', 'energy', 'spectrum', 'of', 'the', 'signal', 'from', 'the', 'crab', 'nebula', 'we', 'also', 'measured', 'the', 'optical', 'pulsed', 'signal', 'to', 'validate', 'our', 'gps', 'timestamping', 'and', 'barycentering', 'techniques', 'and', 'obtained', 'an', 'upper', 'limit', 'for', 'the', 'pulsed', 'emission', 'at', 'gammaray', 'energies']] | [-0.014003449466806896, 0.12595133047825421, -0.06580929901070628, 0.14978496283196333, -0.07376393150901918, -0.09020392558146158, 0.064527163276526, 0.4275689035786327, -0.23127939490072386, -0.41479727100118025, 0.06485604284022599, -0.31260034609200243, 0.022650710422788146, 0.28813334784646844, 0.00842159973270089, 0.021727751852316263, 0.10706990767689147, -0.02020293633459059, -0.013168364427102036, -0.153831079041347, 0.18614269539813053, 0.1864610271302421, 0.22960939993475668, 0.0922094952293049, 0.10665652923872859, -0.08498830707831936, 0.029090802179726625, -0.12200388629760968, -0.1092519696289398, 0.061441742247466506, 0.25686219629388424, 0.10086061558603535, 0.1281233040489168, -0.3520329070205872, -0.19220025019689888, 0.14495854380061113, 0.10723460137777956, -0.015527071002126842, 0.0042689229201900184, -0.31899043708246133, 0.07476530241443825, -0.19850964157583093, -0.18580160527242093, 0.06300017619009554, -0.001906648548264828, 0.013849203557481427, -0.23134882495733056, 0.041228374605275106, -0.02925117153153595, 0.061206774481988274, -0.10516308628838267, -0.10589574755254869, 0.013208690225477358, 0.05412704489309583, 0.06801654904159117, 0.05558890551356213, 0.1457692545689863, -0.11496353312739938, -0.11701497084257254, 0.3524282706774683, -0.059463699585234626, 0.012803702732305643, 0.18621082459548874, -0.24838214187847366, -0.20085624132040866, 0.22834613526890263, 0.16853886822888836, 0.037726686560190986, -0.17666575746864258, 0.01679980585499, 0.0071611002214341125, 0.23176281050552983, 0.09418577640785797, 0.02291702451570147, 0.24700333907809, 0.16407598134890727, 0.03401511283894483, 0.1563694856209493, -0.27986754665923436, 0.007210922245619565, -0.27933267326942873, -0.04972942434141093, -0.1888940257499733, 0.10667135794343945, -0.06350295320757701, -0.04453244806438155, 0.43066278810353853, 0.16059434725269234, 0.1768796052687289, 0.02943866708492943, 0.34566899056728245, 0.14020854279410283, 0.04707109437051323, 0.09780453438126653, 0.3963760340444402, 0.13002804797948697, 0.16778088970517618, -0.1690687510941299, 0.02889406204653474, -0.051096693054668206] |
709.3869 | Results from the Blazar Monitoring Campaign at the Whipple 10m Gamma-ray
Telescope | In September 2005, the observing program of the Whipple 10 m gamma-ray
telescope was redefined to be dedicated almost exclusively to AGN monitoring.
Since then the five Northern Hemisphere blazars that had already been detected
at Whipple are monitored routinely each night that they are visible. Thanks to
the efforts of a large number of multiwavelength collaborators, the first year
of this program has been very successful. We report here on the analysis of
Markarian 421 observations taken from November, 2005 to May, 2006 in the
gamma-ray, X-ray, optical and radio bands.
| astro-ph | in september 2005 the observing program of the whipple 10 m gammaray telescope was redefined to be dedicated almost exclusively to agn monitoring since then the five northern hemisphere blazars that had already been detected at whipple are monitored routinely each night that they are visible thanks to the efforts of a large number of multiwavelength collaborators the first year of this program has been very successful we report here on the analysis of markarian 421 observations taken from november 2005 to may 2006 in the gammaray xray optical and radio bands | [['in', 'september', '2005', 'the', 'observing', 'program', 'of', 'the', 'whipple', '10', 'm', 'gammaray', 'telescope', 'was', 'redefined', 'to', 'be', 'dedicated', 'almost', 'exclusively', 'to', 'agn', 'monitoring', 'since', 'then', 'the', 'five', 'northern', 'hemisphere', 'blazars', 'that', 'had', 'already', 'been', 'detected', 'at', 'whipple', 'are', 'monitored', 'routinely', 'each', 'night', 'that', 'they', 'are', 'visible', 'thanks', 'to', 'the', 'efforts', 'of', 'a', 'large', 'number', 'of', 'multiwavelength', 'collaborators', 'the', 'first', 'year', 'of', 'this', 'program', 'has', 'been', 'very', 'successful', 'we', 'report', 'here', 'on', 'the', 'analysis', 'of', 'markarian', '421', 'observations', 'taken', 'from', 'november', '2005', 'to', 'may', '2006', 'in', 'the', 'gammaray', 'xray', 'optical', 'and', 'radio', 'bands']] | [-0.051205342983492934, 0.12583066589887376, -0.09522373607361932, 0.07079832902071877, -0.14601823361590505, -0.09178475219169227, 0.04415047214285511, 0.46692787774879, -0.13045109245728742, -0.44217439986886864, 0.18428312683903167, -0.3201469029552992, -0.05280482989695409, 0.23678872300787707, -0.0545887278403034, -0.0027047928331581793, 0.12036212108543386, -0.12007252439228899, 0.013567489540234776, -0.34968596191459295, 0.158741494574908, 0.18585200212976855, 0.20179804442349172, -0.012774293432417124, 0.0920350318217812, -0.03744072141125798, -0.14337550655371792, -0.05615674930057772, -0.04960934010808199, 0.023992166712718165, 0.30698691824775026, 0.1305219191362994, 0.24799527918778197, -0.381106790878972, -0.17512097793793224, 0.10382279934887977, 0.0871504813213782, -0.03352620270427154, 0.03421722348835117, -0.3433490092157508, 0.016575753957073648, -0.18040819961638394, -0.14078020053389279, 0.09018820231532394, 0.09495872774910506, 0.010794751052542226, -0.1340958140436155, -0.015186695295952908, -0.04689964257767829, 0.1309207399102414, -0.11346627680746757, -0.08064486662371327, -0.05465813608885662, 0.14089591509622076, 0.07525402384445719, 0.09194101283134407, 0.061190264800603945, -0.048680254797268986, -0.12682374270693603, 0.3226998718202357, -0.033341262843864766, 0.11175367240186619, 0.20954823440937934, -0.2530119540777219, -0.30016003498989763, 0.19021149697389617, 0.19458331946162102, 0.1111003179508059, -0.2057142693893579, 0.07771075804371123, -0.08430673403326301, 0.20249142385917998, 0.08701738788057929, 0.01798356433763452, 0.2646737179172266, 0.1074178896593841, 0.014567393404634102, 0.09662968598422594, -0.29922377677259804, 0.015334222217738305, -0.24010063430456363, -0.07014588560686326, -0.19304954929722715, 0.09667591428581584, 0.05786782329533193, -0.02714905330060941, 0.44206307310631254, 0.04204997542420524, 0.126481188673769, -0.023656240877007014, 0.26007153812552924, 0.03981579479801914, 0.10060237146630559, 0.11368953551003791, 0.4316976465608763, 0.06432627681944882, 0.21754876731226788, -0.11794408008142415, 0.04548360504407395, 0.011449916939929371] |
709.387 | Two-mode variational Monte Carlo study of Quasiparticle excitations in
cuprates | Recent measurements of quasiparticles in hole-doped cuprates reveal highly
unusual features: 1) the doping-independent Fermi velocity, 2) two energy
scales in the quasiparticle spectral function, and 3) a suppression of the low
energy spectral weight near the zone center. The underlying mechanism is under
hot debate. We addressed these important issues by a novel two-mode variational
Monte Carlo (VMC) study of the t-J model. We obtained results in agreement with
the experiments but without invoking extrinsic effects. Besides, we resolved a
long standing issue of the sum rule for quasiparticle spectral weights in VMC
studies. The electron doped case was also discussed.
| cond-mat.supr-con cond-mat.str-el | recent measurements of quasiparticles in holedoped cuprates reveal highly unusual features 1 the dopingindependent fermi velocity 2 two energy scales in the quasiparticle spectral function and 3 a suppression of the low energy spectral weight near the zone center the underlying mechanism is under hot debate we addressed these important issues by a novel twomode variational monte carlo vmc study of the tj model we obtained results in agreement with the experiments but without invoking extrinsic effects besides we resolved a long standing issue of the sum rule for quasiparticle spectral weights in vmc studies the electron doped case was also discussed | [['recent', 'measurements', 'of', 'quasiparticles', 'in', 'holedoped', 'cuprates', 'reveal', 'highly', 'unusual', 'features', '1', 'the', 'dopingindependent', 'fermi', 'velocity', '2', 'two', 'energy', 'scales', 'in', 'the', 'quasiparticle', 'spectral', 'function', 'and', '3', 'a', 'suppression', 'of', 'the', 'low', 'energy', 'spectral', 'weight', 'near', 'the', 'zone', 'center', 'the', 'underlying', 'mechanism', 'is', 'under', 'hot', 'debate', 'we', 'addressed', 'these', 'important', 'issues', 'by', 'a', 'novel', 'twomode', 'variational', 'monte', 'carlo', 'vmc', 'study', 'of', 'the', 'tj', 'model', 'we', 'obtained', 'results', 'in', 'agreement', 'with', 'the', 'experiments', 'but', 'without', 'invoking', 'extrinsic', 'effects', 'besides', 'we', 'resolved', 'a', 'long', 'standing', 'issue', 'of', 'the', 'sum', 'rule', 'for', 'quasiparticle', 'spectral', 'weights', 'in', 'vmc', 'studies', 'the', 'electron', 'doped', 'case', 'was', 'also', 'discussed']] | [-0.13853019945022157, 0.16203118538867464, -0.07361445673650094, 0.14208185532719225, -0.03430755979920208, -0.1366192712813762, 0.10573423431054049, 0.395882395360911, -0.24810470960230804, -0.2899679451925205, 0.016042154250374318, -0.31513556859949055, -0.10482385473362371, 0.15869314068821075, 0.004232888055198333, 0.061225069157194854, 0.07280674739740789, -0.06920271580719262, -0.12735088254489443, -0.20695843204178827, 0.3121389691060519, 0.11931463822325253, 0.3005068601090826, 0.11437022839570143, 0.052710137571671555, 0.03779406523258955, -0.005858672180158251, 0.005322343578525618, -0.18073376603241936, 0.07100098466331724, 0.2722869381381601, -0.04009578307615776, 0.26185896277756376, -0.41248973147651435, -0.2753786947121661, 0.02385918521231004, 0.16358416259069652, 0.11064592583159752, -0.07338234195120487, -0.23278885795141332, 0.02685437670351901, -0.15771151260089347, -0.17395556758742267, -0.057592228265004416, -0.06890595687197193, -0.0039255523565681835, -0.20448545216098793, 0.1462103377433617, 0.03448398484318864, 0.06687478532138116, -0.11784500139993707, -0.16988913630884067, -0.0029236424095727795, 0.027676059974028784, 0.052856631636363914, 0.03070034535245641, 0.10151548116175714, -0.14443018981346897, -0.10908818768574764, 0.3407721340510191, -0.07746322046709704, -0.11557397880025354, 0.1377478626547564, -0.1723269488361171, -0.13457578438900264, 0.16023527314046435, 0.057633143205962634, 0.11108214954169941, -0.1514401929407362, 0.062310830906533415, -0.052256114831121234, 0.14716340290546856, -0.001230670808010972, 0.10290510678490083, 0.22204458739097213, 0.19235319732151943, -0.008610877468634178, 0.1105666904112178, -0.18210286206985807, -0.106605645470029, -0.24169567280321144, -0.10185439328151737, -0.22786782103974154, 0.05202209503234675, -0.06044801100435114, -0.1251789989114246, 0.4112115975871098, 0.1400828284585812, 0.22135169415588618, -0.047578273980202625, 0.25876166172069953, 0.11948655949855297, 0.052457834078072044, 0.09567982617163044, 0.24203428790183262, 0.1268939509047378, 0.09468154463227656, -0.297539354829282, 0.020601853984236883, 0.02817164499235029] |
709.3871 | Signatures of the Baryon Acoustic Oscillations on 21cm Emission
Background | The baryon acoustic oscillations (BAO) prior to recombination should be
imprinted onto the 21cm emission background from the epoch of reionization
through the underlying density perturbations. Using an analytical approach for
both matter power spectrum (CDM+baryons) and reionization process, we
demonstrate the BAO induced signatures on the power spectrum of 21cm emission
fluctuations. Future low-frequency radio telescopes such as LOFAR and MWA
should be able to detect these weak BAO wiggles with an integration time of
$\sim1$ year. A combination of the BAO measurements at different redshifts
$z\approx1000$ (CMB), $z\approx10$ (epoch of reionization) and $z\approx0$
(clustering of galaxies) may allow one to set more robust constraints on the
determinations of cosmological parameters including dark energy and its
equation of state.
| astro-ph | the baryon acoustic oscillations bao prior to recombination should be imprinted onto the 21cm emission background from the epoch of reionization through the underlying density perturbations using an analytical approach for both matter power spectrum cdmbaryons and reionization process we demonstrate the bao induced signatures on the power spectrum of 21cm emission fluctuations future lowfrequency radio telescopes such as lofar and mwa should be able to detect these weak bao wiggles with an integration time of sim1 year a combination of the bao measurements at different redshifts zapprox1000 cmb zapprox10 epoch of reionization and zapprox0 clustering of galaxies may allow one to set more robust constraints on the determinations of cosmological parameters including dark energy and its equation of state | [['the', 'baryon', 'acoustic', 'oscillations', 'bao', 'prior', 'to', 'recombination', 'should', 'be', 'imprinted', 'onto', 'the', '21cm', 'emission', 'background', 'from', 'the', 'epoch', 'of', 'reionization', 'through', 'the', 'underlying', 'density', 'perturbations', 'using', 'an', 'analytical', 'approach', 'for', 'both', 'matter', 'power', 'spectrum', 'cdmbaryons', 'and', 'reionization', 'process', 'we', 'demonstrate', 'the', 'bao', 'induced', 'signatures', 'on', 'the', 'power', 'spectrum', 'of', '21cm', 'emission', 'fluctuations', 'future', 'lowfrequency', 'radio', 'telescopes', 'such', 'as', 'lofar', 'and', 'mwa', 'should', 'be', 'able', 'to', 'detect', 'these', 'weak', 'bao', 'wiggles', 'with', 'an', 'integration', 'time', 'of', 'sim1', 'year', 'a', 'combination', 'of', 'the', 'bao', 'measurements', 'at', 'different', 'redshifts', 'zapprox1000', 'cmb', 'zapprox10', 'epoch', 'of', 'reionization', 'and', 'zapprox0', 'clustering', 'of', 'galaxies', 'may', 'allow', 'one', 'to', 'set', 'more', 'robust', 'constraints', 'on', 'the', 'determinations', 'of', 'cosmological', 'parameters', 'including', 'dark', 'energy', 'and', 'its', 'equation', 'of', 'state']] | [-0.07267425654376779, 0.11601428653357136, -0.06550430277158983, 0.08560881092848793, -0.15172204902755612, -0.06710702652784706, -0.018560601605744173, 0.3750238384143645, -0.23243124276681357, -0.287948658607681, 0.07334074072007622, -0.3249560771118693, -0.020486540716736258, 0.21797476665062063, 0.10452088497641708, -0.001988819519061783, 0.035171541038063206, -0.09975973466027747, -0.014669325131289036, -0.26350851792219965, 0.28480286104213287, 0.21764390807238823, 0.24596851276225967, -0.020457514413014178, 0.06638578543470812, -0.11595141095649295, -0.1487327761275052, -0.021248642737711116, -0.15895126984508987, 0.011390715825739278, 0.2505709502650102, 0.21049090495510145, 0.17872939416708253, -0.41074434836872487, -0.2640878741136369, 0.15977574833238326, 0.191852952604096, 0.17030340392424279, -0.03311961158748595, -0.3536075898015699, 0.012619593436536262, -0.1572561607531765, -0.09859289668359551, -0.009898976953074085, -0.041657530604822544, 0.008888645465446621, -0.2349409245936779, 0.1782555035119798, -0.04787504339606321, -0.016907509134597137, -0.07615372679732396, -0.0747110492103741, -0.04872387318731043, 0.04528051199579314, -0.0075587812547489785, 0.009739035517446884, 0.20802474322830553, -0.13899529434177055, -0.05031172789930671, 0.4078697615749195, -0.15867751364658797, 0.00028829470652492106, 0.12172784015317173, -0.21649474662752086, -0.1891650652998135, 0.10907311749081088, 0.18516384371548517, 0.0014067897612244642, -0.1115241905502161, 0.03848806645588151, 0.10681240367722705, 0.2608508961999147, 0.0897365943176531, 0.06942503692723122, 0.37310466433272643, 0.10788322536337401, 0.12463728869099076, -0.003694398744430925, -0.2098723952149769, 0.09244621049284059, -0.2875526538333942, -0.010173591636434323, -0.18949427936586136, 0.12290869944165421, -0.15123981377060972, -0.14160220826263814, 0.44603671042733833, 0.1553324327907846, 0.23179851781905575, 0.07410255891169194, 0.3878268570709629, 0.07793533239827174, 0.03600932194796555, 0.007127314939030579, 0.28239467151525643, 0.1547759066202811, 0.11386994693522193, -0.24465343610289655, 0.024679718926517654, -0.033542496522012] |
709.3872 | The Sydney University Stellar Interferometer: A Major Upgrade to
Spectral Coverage and Performance | A new beam-combination and detection system has been installed in the Sydney
University Stellar Interferometer working at the red end of the visual spectrum
(wavelength range 500-950 nm) to complement the existing blue-sensitive system
(wavelength range 430-520 nm) and to provide an increase in sensitivity.
Dichroic beam-splitters have been introduced to allow simultaneous observations
with both spectral system, albeit with some restriction on the spectral range
of the longer wavelength system (wavelength range 550-760 nm). The blue system
has been upgraded to allow remote selection of wavelength and spectral
bandpass, and to enable simultaneous operation with the red system with the
latter providing fringe-envelope tracking. The new system and upgrades are
described and examples of commissioning tests presented. As an illustration of
the improvement in performance the measurement of the angular diameter of the
southern F supergiant delta CMa is described and compared with previous
determinations.
| astro-ph | a new beamcombination and detection system has been installed in the sydney university stellar interferometer working at the red end of the visual spectrum wavelength range 500950 nm to complement the existing bluesensitive system wavelength range 430520 nm and to provide an increase in sensitivity dichroic beamsplitters have been introduced to allow simultaneous observations with both spectral system albeit with some restriction on the spectral range of the longer wavelength system wavelength range 550760 nm the blue system has been upgraded to allow remote selection of wavelength and spectral bandpass and to enable simultaneous operation with the red system with the latter providing fringeenvelope tracking the new system and upgrades are described and examples of commissioning tests presented as an illustration of the improvement in performance the measurement of the angular diameter of the southern f supergiant delta cma is described and compared with previous determinations | [['a', 'new', 'beamcombination', 'and', 'detection', 'system', 'has', 'been', 'installed', 'in', 'the', 'sydney', 'university', 'stellar', 'interferometer', 'working', 'at', 'the', 'red', 'end', 'of', 'the', 'visual', 'spectrum', 'wavelength', 'range', '500950', 'nm', 'to', 'complement', 'the', 'existing', 'bluesensitive', 'system', 'wavelength', 'range', '430520', 'nm', 'and', 'to', 'provide', 'an', 'increase', 'in', 'sensitivity', 'dichroic', 'beamsplitters', 'have', 'been', 'introduced', 'to', 'allow', 'simultaneous', 'observations', 'with', 'both', 'spectral', 'system', 'albeit', 'with', 'some', 'restriction', 'on', 'the', 'spectral', 'range', 'of', 'the', 'longer', 'wavelength', 'system', 'wavelength', 'range', '550760', 'nm', 'the', 'blue', 'system', 'has', 'been', 'upgraded', 'to', 'allow', 'remote', 'selection', 'of', 'wavelength', 'and', 'spectral', 'bandpass', 'and', 'to', 'enable', 'simultaneous', 'operation', 'with', 'the', 'red', 'system', 'with', 'the', 'latter', 'providing', 'fringeenvelope', 'tracking', 'the', 'new', 'system', 'and', 'upgrades', 'are', 'described', 'and', 'examples', 'of', 'commissioning', 'tests', 'presented', 'as', 'an', 'illustration', 'of', 'the', 'improvement', 'in', 'performance', 'the', 'measurement', 'of', 'the', 'angular', 'diameter', 'of', 'the', 'southern', 'f', 'supergiant', 'delta', 'cma', 'is', 'described', 'and', 'compared', 'with', 'previous', 'determinations']] | [-0.09960860011666278, 0.07104863151174176, -0.06564535455069911, -0.07611155196037275, -0.07509627079092701, -0.15831518534269237, -0.002128020092897432, 0.4482827163006271, -0.15432552035412633, -0.3864330661246999, 0.12454308490809972, -0.25695711262622506, -0.010424304779776385, 0.23850053963316997, -0.07791434149716941, 0.07389509012188081, 0.0974391920501891, -0.04563159828421063, -0.02367627575770545, -0.19156301923466743, 0.21744313088088282, 0.1374450615069396, 0.23654403913976021, 0.014703487803582365, 0.07615612965064045, -0.005590497696457405, -0.054180896762286275, -0.04789469053667091, -0.1155794815014405, 0.04696878505227956, 0.2686433528195804, 0.1103671684602528, 0.22899508024082177, -0.3334803516176385, -0.20342635142315232, 0.07444636043387426, 0.1530352870205706, 0.018641266794744094, 0.006632766251872018, -0.3131931688780831, 0.05681167454639135, -0.1898250493295179, -0.1703380240704602, 0.005513360955351538, 0.019331494808643008, 0.03628486594919798, -0.2440283598598014, -0.021745226329559803, 0.004334849299558415, 0.1258603542465979, -0.04074335088100756, -0.16360498743187504, -0.015914390903149903, 0.1329648647732823, -0.030556097405333018, 0.03881900529475542, 0.10787323519954799, -0.08366378127108656, -0.06802490071564073, 0.3432024905169514, -0.09147820088882852, -0.04897132149281006, 0.2188407617332545, -0.1709468460110554, -0.06477017096952128, 0.16211676372634903, 0.1510751170998203, 0.09411187032991888, -0.1431742782088023, 0.037579523593463615, 0.03222831643947308, 0.25926523697956033, 0.11574990830292374, 0.1497374673351042, 0.21919471930555054, 0.21128496053484333, 0.06248835909252488, 0.1299956259309498, -0.20685440423721316, -0.03000651379312638, -0.25206930411923806, -0.1021305660907389, -0.1290513715529683, -0.002931644831797187, -0.07233928958813637, -0.11445918108310393, 0.4057767263115187, 0.14634787544942604, 0.1513933769078199, 0.03846200368745075, 0.30848453024198946, 0.11883627233000367, 0.11621097156541868, -0.015413775348143888, 0.30856037644680073, 0.14789979851191443, 0.19741471512505496, -0.22250389616975796, -0.016405073361812343, -0.013417577174242953] |
709.3873 | The Emergent Flux and Effective Temperature of Delta Canis Majoris | New angular diameter determinations for the bright southern F8 supergiant
Delta CMa enable the bolometric emergent flux and effective temperature of the
star to be determined with improved accuracy. The spectral flux distribution
and bolometric flux have been determined from published photometry and
spectrophotometry and combined with the angular diameter to derive the
bolometric emergent flux F = (6.50 plus/minus 0.24) x 10^7 W/m^2 and the
effective temperature Teff = 5818 plus/minus 53 K. The new value for the
effective temperature is compared with previous interferometric and infrared
flux method determinations. The accuracy of the effective temperature is now
limited by the uncertainty in the bolometric flux rather than by the
uncertainty in the angular diameter.
| astro-ph | new angular diameter determinations for the bright southern f8 supergiant delta cma enable the bolometric emergent flux and effective temperature of the star to be determined with improved accuracy the spectral flux distribution and bolometric flux have been determined from published photometry and spectrophotometry and combined with the angular diameter to derive the bolometric emergent flux f 650 plusminus 024 x 107 wm2 and the effective temperature teff 5818 plusminus 53 k the new value for the effective temperature is compared with previous interferometric and infrared flux method determinations the accuracy of the effective temperature is now limited by the uncertainty in the bolometric flux rather than by the uncertainty in the angular diameter | [['new', 'angular', 'diameter', 'determinations', 'for', 'the', 'bright', 'southern', 'f8', 'supergiant', 'delta', 'cma', 'enable', 'the', 'bolometric', 'emergent', 'flux', 'and', 'effective', 'temperature', 'of', 'the', 'star', 'to', 'be', 'determined', 'with', 'improved', 'accuracy', 'the', 'spectral', 'flux', 'distribution', 'and', 'bolometric', 'flux', 'have', 'been', 'determined', 'from', 'published', 'photometry', 'and', 'spectrophotometry', 'and', 'combined', 'with', 'the', 'angular', 'diameter', 'to', 'derive', 'the', 'bolometric', 'emergent', 'flux', 'f', '650', 'plusminus', '024', 'x', '107', 'wm2', 'and', 'the', 'effective', 'temperature', 'teff', '5818', 'plusminus', '53', 'k', 'the', 'new', 'value', 'for', 'the', 'effective', 'temperature', 'is', 'compared', 'with', 'previous', 'interferometric', 'and', 'infrared', 'flux', 'method', 'determinations', 'the', 'accuracy', 'of', 'the', 'effective', 'temperature', 'is', 'now', 'limited', 'by', 'the', 'uncertainty', 'in', 'the', 'bolometric', 'flux', 'rather', 'than', 'by', 'the', 'uncertainty', 'in', 'the', 'angular', 'diameter']] | [-0.03607030877876177, 0.15083756496754, -0.04246769208673453, 0.052565638707101084, -0.0830056885943601, -0.0848457809831751, 0.08397601172327995, 0.4098042808595653, -0.11797509969440861, -0.45398435685293453, 0.06500396078346264, -0.3156823395146874, 0.06162766559997149, 0.21698328196642952, -0.08233758205090437, 0.0438823774130198, 0.018788195590962443, -0.012412795314990115, -0.09790118155478124, -0.19315485153020473, 0.2287643190019911, 0.113002040096673, 0.22177102951855773, 0.055164738464283575, 0.07786286808550358, -0.1124786039612158, -0.08077684767838371, 0.017746804171781008, -0.19962687477400004, 0.07140088807219606, 0.17607645438820646, 0.038084488991635704, 0.1259545013461703, -0.2657337905185526, -0.21994818117992396, 0.051740407296293006, 0.1275314382489836, -0.033257992497008095, 0.0315274808968401, -0.23733004658858767, 0.002727410964373695, -0.16274252797991626, -0.19774291719097578, 0.015926539277036984, 0.11400183751002739, 0.00529035891553289, -0.2694547225623147, 0.12416345262471096, -0.06121270595477861, 0.12782515016825577, -0.08172211727830009, -0.24354789123396603, -0.07421303413841024, 0.06702907540296253, 0.00937167789966783, 0.1705416768192918, 0.1398749583361981, -0.07978499653798185, 0.01887657769481864, 0.31749890555153815, -0.14144770171160895, -0.013547693609501022, 0.11546558433359391, -0.1587520606188806, -0.06817371745005642, 0.2251048330666922, 0.09518673676096737, 0.12925425925896616, -0.19090472365190325, 0.015988262689860307, 0.06772569943578881, 0.23683373646385836, 0.05315564136560026, 0.10161912462494352, 0.2901021381737991, 0.14515239337107919, 0.035246443863255546, 0.0504526703673611, -0.26792930649887575, 0.0016221820719932254, -0.21905244196859075, -0.08204613642546495, -0.15673246928245613, 0.13008258619811386, -0.20167244508328414, -0.0847987279933142, 0.3522049934325511, 0.17013977269495004, 0.20419835562325603, 0.08638704094316876, 0.32814033155476574, 0.13234972383565546, 0.1002029687895852, 0.13022403780926475, 0.3678719502171142, 0.21238977063790357, 0.13938529660369745, -0.31574413737306667, 0.006014144683273085, 0.046057520221853464] |
709.3874 | Open-closed moduli spaces and related algebraic structures | We set up a Batalin-Vilkovisky Quantum Master Equation for open-closed string
theory and show that the corresponding moduli spaces give rise to a solution, a
generating function for their fundamental chains. The equation encodes the
topological structure of the compactification of the moduli space of bordered
Riemann surfaces. The moduli spaces of bordered J-holomorphic curves are
expected to satisfy the same equation, and from this viewpoint, our paper
treats the case of the target space equal to a point. We also introduce the
notion of a symmetric Open-Closed Topological Conformal Field Theory and study
the L_\infty and A_\infty algebraic structures associated to it.
| math.QA math.AG | we set up a batalinvilkovisky quantum master equation for openclosed string theory and show that the corresponding moduli spaces give rise to a solution a generating function for their fundamental chains the equation encodes the topological structure of the compactification of the moduli space of bordered riemann surfaces the moduli spaces of bordered jholomorphic curves are expected to satisfy the same equation and from this viewpoint our paper treats the case of the target space equal to a point we also introduce the notion of a symmetric openclosed topological conformal field theory and study the l_infty and a_infty algebraic structures associated to it | [['we', 'set', 'up', 'a', 'batalinvilkovisky', 'quantum', 'master', 'equation', 'for', 'openclosed', 'string', 'theory', 'and', 'show', 'that', 'the', 'corresponding', 'moduli', 'spaces', 'give', 'rise', 'to', 'a', 'solution', 'a', 'generating', 'function', 'for', 'their', 'fundamental', 'chains', 'the', 'equation', 'encodes', 'the', 'topological', 'structure', 'of', 'the', 'compactification', 'of', 'the', 'moduli', 'space', 'of', 'bordered', 'riemann', 'surfaces', 'the', 'moduli', 'spaces', 'of', 'bordered', 'jholomorphic', 'curves', 'are', 'expected', 'to', 'satisfy', 'the', 'same', 'equation', 'and', 'from', 'this', 'viewpoint', 'our', 'paper', 'treats', 'the', 'case', 'of', 'the', 'target', 'space', 'equal', 'to', 'a', 'point', 'we', 'also', 'introduce', 'the', 'notion', 'of', 'a', 'symmetric', 'openclosed', 'topological', 'conformal', 'field', 'theory', 'and', 'study', 'the', 'l_infty', 'and', 'a_infty', 'algebraic', 'structures', 'associated', 'to', 'it']] | [-0.17045835274479632, 0.10784289950066364, -0.13361921881605843, 0.1447775098212624, -0.12020324643936406, -0.08656530660459573, 0.01560730389115916, 0.29248465483700764, -0.3564863631736885, -0.2193671275649075, 0.06456460315028875, -0.24282701593796605, -0.22058958994723105, 0.17193244120956047, -0.10967996908189023, 0.02591923107076617, 0.012890407911363935, 0.057795741283380005, -0.16405654930762803, -0.2778858457493044, 0.44652634418741305, -0.03906092345737174, 0.26558488401249775, 0.03847122823964189, 0.13808459692037872, -0.008447008178053984, 0.00034725831062035656, -0.011739384632182388, -0.19590454443971891, 0.20122197087745644, 0.26306667606554274, 0.042542070457802235, 0.14683356499796715, -0.41907204351234206, -0.20315992123745744, 0.12075238381015155, 0.08714331398962193, 0.09078721436038975, 0.017964821066978633, -0.28550886952101245, 0.09459324273307926, -0.1181976546723287, -0.18052042291716683, -0.07780826520355581, 0.017687209806115666, -0.016363936288788624, -0.18283377904998754, -0.027072493507113146, 0.06457621714516172, 0.05309838289847073, -0.1332806020125168, -0.03954609449686103, -0.07398741145943771, 0.08626133260922958, 0.02358500044159953, 0.11770163859168375, 0.07811751826078568, -0.13465654177961925, -0.08524857232690726, 0.37900159523361227, -0.057827534588071904, -0.24245985485251667, 0.10669666053998528, -0.1146269836779503, -0.13879332030689326, 0.12274547923781268, 0.09948948119287786, 0.16785650108081912, -0.05174930891964711, 0.21616404647125131, -0.05719186376454761, 0.08566996526087237, 0.09624625893888399, 0.038416985101383, 0.18588553734340715, 0.09565353751164472, 0.0895538094082793, 0.18180240533490963, -0.019638609738446302, -0.14900289648958454, -0.4288543813943284, -0.22840527807660763, -0.10565574433048736, 0.15005435342493567, -0.12821060784773683, -0.25349239945339347, 0.39548731127808107, 0.07615026026425625, 0.19305493024367731, 0.12253121078439347, 0.18627097869961007, 0.08722066787736675, 0.016567816132751916, 0.040615987855470874, 0.1278130611025014, 0.22775110857362307, 0.044383132969282424, -0.17585042018886402, -0.0555712210412309, 0.23163909408110148] |
709.3875 | Error correction optimisation in the presence of X/Z asymmetry | By taking into account the physical nature of quantum errors it is possible
to improve the efficiency of quantum error correction. Here we consider an
optimisation to conventional quantum error correction which involves exploiting
asymmetries in the rates of X and Z errors by reducing the rate of X
correction. As an example, we apply this optimisation to the [[7,1,3]] code and
make a comparison with conventional quantum error correction. After two levels
of concatenated error correction we demonstrate a circuit depth reduction of at
least 43% and reduction in failure rate of at least 67%. This improvement
requires no additional resources and the required error asymmetry is likely to
be present in most physical quantum computer architectures.
| quant-ph | by taking into account the physical nature of quantum errors it is possible to improve the efficiency of quantum error correction here we consider an optimisation to conventional quantum error correction which involves exploiting asymmetries in the rates of x and z errors by reducing the rate of x correction as an example we apply this optimisation to the 713 code and make a comparison with conventional quantum error correction after two levels of concatenated error correction we demonstrate a circuit depth reduction of at least 43 and reduction in failure rate of at least 67 this improvement requires no additional resources and the required error asymmetry is likely to be present in most physical quantum computer architectures | [['by', 'taking', 'into', 'account', 'the', 'physical', 'nature', 'of', 'quantum', 'errors', 'it', 'is', 'possible', 'to', 'improve', 'the', 'efficiency', 'of', 'quantum', 'error', 'correction', 'here', 'we', 'consider', 'an', 'optimisation', 'to', 'conventional', 'quantum', 'error', 'correction', 'which', 'involves', 'exploiting', 'asymmetries', 'in', 'the', 'rates', 'of', 'x', 'and', 'z', 'errors', 'by', 'reducing', 'the', 'rate', 'of', 'x', 'correction', 'as', 'an', 'example', 'we', 'apply', 'this', 'optimisation', 'to', 'the', '713', 'code', 'and', 'make', 'a', 'comparison', 'with', 'conventional', 'quantum', 'error', 'correction', 'after', 'two', 'levels', 'of', 'concatenated', 'error', 'correction', 'we', 'demonstrate', 'a', 'circuit', 'depth', 'reduction', 'of', 'at', 'least', '43', 'and', 'reduction', 'in', 'failure', 'rate', 'of', 'at', 'least', '67', 'this', 'improvement', 'requires', 'no', 'additional', 'resources', 'and', 'the', 'required', 'error', 'asymmetry', 'is', 'likely', 'to', 'be', 'present', 'in', 'most', 'physical', 'quantum', 'computer', 'architectures']] | [-0.11850504755531832, 0.04347815365610463, -0.04389309218169143, 0.0740217272097529, 0.016781803220510483, -0.16925426800656368, 0.115307082832491, 0.3447035373488473, -0.25712119966007424, -0.34929273779882847, 0.11718466231536309, -0.24279461123870086, -0.10370142386152835, 0.22046121188155296, -0.11255355084204446, 0.09578761059131821, 0.0661588777053975, -0.0114882235431065, -0.12676009593651852, -0.3049526096862283, 0.24678007733881852, 0.11721993921525871, 0.250059692966515, 0.04753812694314362, 0.1192686409507957, -0.011517772511717216, -0.03066723724290476, -0.023222904715497615, -0.09447841445710194, 0.10612527445211249, 0.23326778471848722, 0.0969411371442513, 0.28468509160487326, -0.4045783115385132, -0.20546954863909947, 0.08202977345909103, 0.12352476391045503, 0.18336281628975393, -0.02578988049368737, -0.23186431942168245, 0.10066990100707607, -0.18307044211048948, -0.03974519381536392, -0.047364903882272165, 0.017692250440339164, -0.0489636910092717, -0.2843774804397549, 0.10528254331241488, 0.055727377470772145, 0.06776034849364374, 0.0393874156545311, -0.14605785073254698, 0.05450437027740024, 0.15789635131388144, -0.0023504680780283473, 0.06882269663925646, 0.1296311473844857, -0.13078165967490965, -0.1568695032353497, 0.3810224705375731, -0.04736502258841074, -0.19426994283794094, 0.11957388068154706, -0.0863328329366395, -0.09790625706536032, 0.18446844977808138, 0.18483370331794782, 0.025436014852533908, -0.13242480293374068, 0.050874796035005, 0.10800925961111561, 0.24090556512286854, 0.02622892498038709, 0.09536661456587676, 0.14123632980636874, 0.15879014015821266, 0.058898535572876366, 0.14946124367948654, -0.14930640215890767, -0.0921804914512411, -0.34963917367996933, -0.19924444220644438, -0.14774472223815777, 0.08361606468186099, -0.07561659321171169, -0.11007348307550459, 0.34706127731192665, 0.1793267966121814, 0.187218261787952, 0.04143512773552468, 0.33326428089985405, 0.1328773505470747, 0.0951472744108888, 0.09972112106703916, 0.25170320876226837, 0.11457551703630489, 0.012920670929538497, -0.2565904536513391, 0.0670813053996318, 0.042484208879305714] |
709.3876 | Features of the Acoustic Mechanism of Core-Collapse Supernova Explosions
: Revisited using the Kinetic Approach | The discrete kinetic model is used to study the propagation of sound waves in
system of hard-disk-like rotating stars (or vortex gases). The anomalous
(negative) attenuation or amplification which is possibly due to the binary
collision of a dilute-enough rotating disk (or vortex-gas) system (each with
opposite-sign rotating direction or angular momenta but the total (net) angular
momenta or vorticity is zero) or microreversibility might arise from the
implicit balance of the angular momentum during encounter and give clues to the
understanding of possible acceleration of cosmic rays passing through this kind
of channel and direct or inverse vortex-gas cascades in two-dimensional
turbulence of astrophysical problems.
| astro-ph | the discrete kinetic model is used to study the propagation of sound waves in system of harddisklike rotating stars or vortex gases the anomalous negative attenuation or amplification which is possibly due to the binary collision of a diluteenough rotating disk or vortexgas system each with oppositesign rotating direction or angular momenta but the total net angular momenta or vorticity is zero or microreversibility might arise from the implicit balance of the angular momentum during encounter and give clues to the understanding of possible acceleration of cosmic rays passing through this kind of channel and direct or inverse vortexgas cascades in twodimensional turbulence of astrophysical problems | [['the', 'discrete', 'kinetic', 'model', 'is', 'used', 'to', 'study', 'the', 'propagation', 'of', 'sound', 'waves', 'in', 'system', 'of', 'harddisklike', 'rotating', 'stars', 'or', 'vortex', 'gases', 'the', 'anomalous', 'negative', 'attenuation', 'or', 'amplification', 'which', 'is', 'possibly', 'due', 'to', 'the', 'binary', 'collision', 'of', 'a', 'diluteenough', 'rotating', 'disk', 'or', 'vortexgas', 'system', 'each', 'with', 'oppositesign', 'rotating', 'direction', 'or', 'angular', 'momenta', 'but', 'the', 'total', 'net', 'angular', 'momenta', 'or', 'vorticity', 'is', 'zero', 'or', 'microreversibility', 'might', 'arise', 'from', 'the', 'implicit', 'balance', 'of', 'the', 'angular', 'momentum', 'during', 'encounter', 'and', 'give', 'clues', 'to', 'the', 'understanding', 'of', 'possible', 'acceleration', 'of', 'cosmic', 'rays', 'passing', 'through', 'this', 'kind', 'of', 'channel', 'and', 'direct', 'or', 'inverse', 'vortexgas', 'cascades', 'in', 'twodimensional', 'turbulence', 'of', 'astrophysical', 'problems']] | [-0.1918974614885743, 0.20027908655510357, -0.06570405305291598, 0.09655824145346951, -0.1243926134864943, -0.09432053093601447, -0.014921737216914503, 0.3208334794214282, -0.30150045271819603, -0.3144623213626731, 0.03739632279141985, -0.2701448846581535, -0.008731058481386684, 0.17375268920575485, 0.025666063078320943, 0.035352528775827244, 0.06352112603781279, 0.022438789785015754, -0.038268009237071965, -0.15179203757389376, 0.3486092857940373, 0.12348387252467756, 0.20826737271944204, 0.008952595660677897, 0.14088391224280572, -0.023654747848363165, -0.060702719300304755, -0.012849596293213276, -0.10807843511401398, 0.034674593135535434, 0.1675090325790314, 0.059101331871576034, 0.19267435919027776, -0.44291426689149094, -0.2394948466367518, 0.10858983849175274, 0.1905721666945073, 0.12903575331774148, -0.05768590060044797, -0.24751034855076937, 0.002570508830383635, -0.16921126297585523, -0.15864675436974862, -0.0023129493683182564, 0.01756555815392438, 0.06316515991168742, -0.2526542440128441, 0.14970704542065505, 0.1455898937330438, 0.05331856091624314, -0.07678824150263189, -0.074204208255441, -0.06640419203680582, 0.054053884937624946, 0.14407239852432843, 0.050283912020789176, 0.15289634557512516, -0.16987025332771458, -0.09782009043891986, 0.42188444756007254, -0.02622553267037102, -0.21064804644377616, 0.23210637752792815, -0.19751553586544246, -0.016119431292351622, 0.1997628083291392, 0.2392830636459761, 0.09579314047676654, -0.11707111875204226, 0.00647420684086123, -0.0029002675213492834, 0.12949743775803094, 0.128025551362393, 0.027509178599127784, 0.3307137750984671, 0.10736616975583065, 0.029723254306680665, 0.11060530527566488, -0.15798477646379838, -0.07937562928698473, -0.28113016367737703, -0.165393167327588, -0.14880532807169053, 0.10158028381052785, -0.054346047913266096, -0.16483428057892105, 0.31974734503847474, 0.10449768356137121, 0.1921050939236011, -0.031852687997833036, 0.3388966393406288, 0.11443660924963367, 0.043755412889787786, 0.1129132254058137, 0.2764399902841363, 0.16223010022300655, 0.1585056143320309, -0.2598973303661646, 0.049238349337918826, 0.051855567027814686] |
709.3877 | The Cosmic MeV Gamma-ray Background and Hard X-ray Spectra of Active
Galactic Nuclei: Implications for the Origin of Hot AGN Coronae | The origin of the extragalactic gamma-ray background radiation at 1-10 MeV is
still unknown. Although the cosmic X-ray background (CXB) up to a few hundreds
keV can be accounted for by the sum of Active Galactic Nuclei (AGNs), current
models of AGN spectra cannot explain the background spectrum beyond ~1 MeV,
because of the thermal exponential cutoff of electron energy distribution
assumed in the models. Here we construct a new spectral model by calculating
the Comptonization process including nonthermal electrons, which are expected
to exist in an AGN hot corona if it is heated by magnetic reconnections. We
show that the MeV background spectrum can nicely be explained by our model,
when coronal electrons have a nonthermal power-law component whose total energy
is a few percent of the thermal component and whose spectral index is d(ln
N_e)/d(ln E_e) ~ -4. Although the MeV gamma-ray flux from such a component in
nearby AGN spectra is below the detection limit of past observations, it could
be detected by planned future MeV detectors. We point out that the amount of
the nonthermal component and its electron index are similar to those found for
electrons accelerated by magnetic reconnections in solar flares and the Earth
magnetosphere, giving a support to the reconnection hypothesis for the origin
of hot AGN coronae.
| astro-ph | the origin of the extragalactic gammaray background radiation at 110 mev is still unknown although the cosmic xray background cxb up to a few hundreds kev can be accounted for by the sum of active galactic nuclei agns current models of agn spectra cannot explain the background spectrum beyond 1 mev because of the thermal exponential cutoff of electron energy distribution assumed in the models here we construct a new spectral model by calculating the comptonization process including nonthermal electrons which are expected to exist in an agn hot corona if it is heated by magnetic reconnections we show that the mev background spectrum can nicely be explained by our model when coronal electrons have a nonthermal powerlaw component whose total energy is a few percent of the thermal component and whose spectral index is dln n_edln e_e 4 although the mev gammaray flux from such a component in nearby agn spectra is below the detection limit of past observations it could be detected by planned future mev detectors we point out that the amount of the nonthermal component and its electron index are similar to those found for electrons accelerated by magnetic reconnections in solar flares and the earth magnetosphere giving a support to the reconnection hypothesis for the origin of hot agn coronae | [['the', 'origin', 'of', 'the', 'extragalactic', 'gammaray', 'background', 'radiation', 'at', '110', 'mev', 'is', 'still', 'unknown', 'although', 'the', 'cosmic', 'xray', 'background', 'cxb', 'up', 'to', 'a', 'few', 'hundreds', 'kev', 'can', 'be', 'accounted', 'for', 'by', 'the', 'sum', 'of', 'active', 'galactic', 'nuclei', 'agns', 'current', 'models', 'of', 'agn', 'spectra', 'can', 'not', 'explain', 'the', 'background', 'spectrum', 'beyond', '1', 'mev', 'because', 'of', 'the', 'thermal', 'exponential', 'cutoff', 'of', 'electron', 'energy', 'distribution', 'assumed', 'in', 'the', 'models', 'here', 'we', 'construct', 'a', 'new', 'spectral', 'model', 'by', 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709.3878 | The Keck Aperture Masking Experiment: Multi-Wavelength Observations of 6
Mira Variables | The angular diameters of six oxygen rich Mira-type long-period variables have
been measured at various near-infrared (NIR) wavelengths using the aperture
masking technique in an extensive observing program from 1997 Jan to 2004 Sep.
These data sets span many pulsation cycles of the observed objects and
represent the largest study of multi-wavelength, multi-epoch interferometric
angular diameter measurements on Mira stars to date. The calibrated visibility
data of o Cet, R Leo, R Cas, W Hya, chi Cyg and R Hya are fitted using a
uniform disk brightness distribution model to facilitate comparison between
epochs, wavelengths and with existing data and theoretical models. The
variation of angular diameter as a function of wavelength and time are studied,
and cyclic diameter variations are detected for all objects in our sample.
These variations are believed to stem from time-dependent changes of density
and temperature (and hence varying molecular opacities) in different layers of
these stars. The similarities and differences in behaviour between these
objects are analyzed and discussed in the context of existing theoretical
models. Furthermore, we present time-dependent 3.08 micron angular diameter
measurements, probing for the first time these zones of probable dust
formation, which show unforeseen sizes and are consistently out of phase with
other NIR layers shown in this study. The S-type Mira chi Cyg exhibits
significantly different behaviour compared to the M-type Miras in this study.
| astro-ph | the angular diameters of six oxygen rich miratype longperiod variables have been measured at various nearinfrared nir wavelengths using the aperture masking technique in an extensive observing program from 1997 jan to 2004 sep these data sets span many pulsation cycles of the observed objects and represent the largest study of multiwavelength multiepoch interferometric angular diameter measurements on mira stars to date the calibrated visibility data of o cet r leo r cas w hya chi cyg and r hya are fitted using a uniform disk brightness distribution model to facilitate comparison between epochs wavelengths and with existing data and theoretical models the variation of angular diameter as a function of wavelength and time are studied and cyclic diameter variations are detected for all objects in our sample these variations are believed to stem from timedependent changes of density and temperature and hence varying molecular opacities in different layers of these stars the similarities and differences in behaviour between these objects are analyzed and discussed in the context of existing theoretical models furthermore we present timedependent 308 micron angular diameter measurements probing for the first time these zones of probable dust formation which show unforeseen sizes and are consistently out of phase with other nir layers shown in this study the stype mira chi cyg exhibits significantly different behaviour compared to the mtype miras in this study | [['the', 'angular', 'diameters', 'of', 'six', 'oxygen', 'rich', 'miratype', 'longperiod', 'variables', 'have', 'been', 'measured', 'at', 'various', 'nearinfrared', 'nir', 'wavelengths', 'using', 'the', 'aperture', 'masking', 'technique', 'in', 'an', 'extensive', 'observing', 'program', 'from', '1997', 'jan', 'to', '2004', 'sep', 'these', 'data', 'sets', 'span', 'many', 'pulsation', 'cycles', 'of', 'the', 'observed', 'objects', 'and', 'represent', 'the', 'largest', 'study', 'of', 'multiwavelength', 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709.3879 | S-integral preperiodic points for dynamical systems over number fields | Given a rational map $\phi: {\mathbb P}^1\to {\mathbb P}^1$ defined over a
number field $K$, we prove a finiteness result for $\phi$-preperiodic points
which are $S$-integral with respect to a non-preperiodic point $P$, provided
$P$ satisfies a certain local condition at each place. This verifies a special
case of a conjecture of S. Ih.
| math.NT math.DS | given a rational map phi mathbb p1to mathbb p1 defined over a number field k we prove a finiteness result for phipreperiodic points which are sintegral with respect to a nonpreperiodic point p provided p satisfies a certain local condition at each place this verifies a special case of a conjecture of s ih | [['given', 'a', 'rational', 'map', 'phi', 'mathbb', 'p1to', 'mathbb', 'p1', 'defined', 'over', 'a', 'number', 'field', 'k', 'we', 'prove', 'a', 'finiteness', 'result', 'for', 'phipreperiodic', 'points', 'which', 'are', 'sintegral', 'with', 'respect', 'to', 'a', 'nonpreperiodic', 'point', 'p', 'provided', 'p', 'satisfies', 'a', 'certain', 'local', 'condition', 'at', 'each', 'place', 'this', 'verifies', 'a', 'special', 'case', 'of', 'a', 'conjecture', 'of', 's', 'ih']] | [-0.27712223640168615, 0.042311551576515415, -0.10025542391956134, -0.0023022788633891155, -0.021373997249130933, -0.20890448025410185, 0.06476578376484367, 0.25418249044549773, -0.30335683628635585, -0.1753626513560654, 0.044315841040169855, -0.27388151959990553, -0.07647121782010456, 0.1880557644532396, -0.0877152937025113, 0.020199505981268746, 0.011876506001670967, 0.16229613410431962, -0.09951454222659176, -0.3258235567987387, 0.29458035686808937, -0.10841174465867709, 0.1683510607284195, 0.05832709191050732, 0.11968496076340945, 0.025933064977234264, 0.0495424341621264, 0.01609682019378217, -0.23042492879519486, 0.04658409429468074, 0.24613444918309743, 0.08119700488388398, 0.2831262735263357, -0.30905547393661625, -0.15966245940148407, 0.26745991926323975, 0.08225429435655966, -0.0450560637103956, -0.019589538413609536, -0.24373169422132085, 0.18068781377361068, -0.06498101170895235, -0.22531921894482845, 0.011543847005462871, 0.08981080313063806, 0.03829492965959153, -0.40096445100487405, -0.05174657949334327, 0.1340073835948166, 0.17645910413900637, -0.05370837014238789, -0.121011157607976, -0.08650564410249298, 0.005573810517506779, -0.020388341438517255, 0.18665924649861343, 0.07800692824189956, -0.04404780018705664, -0.024484141483762354, 0.3917294325271867, -0.044671008706022544, -0.20810382914694273, 0.0697332658225073, -0.18323306749873566, -0.19845837952990858, 0.15086055582362878, 0.05110043219624544, 0.1636446759847151, 0.022037141587374347, 0.23630977170717604, -0.19353708617810933, 0.09200140482247456, 0.14549593071295125, -0.04075755431966962, 0.15855905838873027, 0.053352631022275054, 0.14022775831355555, 0.13643558166991426, -0.013471698915621019, -0.005719327859861671, -0.4498182968148645, -0.17340885930395913, -0.15221316557166711, 0.1627852589876022, -0.0988973617852437, -0.1495006180385936, 0.30945338062801453, 0.0328449246842625, 0.26951955941523303, 0.14152208244524686, 0.16523897626771117, 0.12279931758091135, -0.011646608839619835, 0.06647020484373536, 0.04380781029544349, 0.16516605406156126, -0.0036152246658567267, -0.11324400232472229, -0.002136333353536309, 0.1681355785244619] |
709.388 | A New Perspective on Multi-user Power Control Games in Interference
Channels | This paper considers the problem of how to allocate power among competing
users sharing a frequency-selective interference channel. We model the
interaction between selfish users as a non-cooperative game. As opposed to the
existing iterative water-filling algorithm that studies the myopic users, this
paper studies how a foresighted user, who knows the channel state information
and response strategies of its competing users, should optimize its
transmission strategy. To characterize this multi-user interaction, the
Stackelberg equilibrium is introduced, and the existence of this equilibrium
for the investigated non-cooperative game is shown. We analyze this interaction
in more detail using a simple two-user example, where the foresighted user
determines its transmission strategy by solving as a bi-level program which
allows him to account for the myopic user's response. It is analytically shown
that a foresighted user can improve its performance, if it has the necessary
information about its competitors. Since the optimal solution of Stackelberg
equilibrium is computationally prohibitive, we propose a practical
low-complexity approach based on Lagrangian duality theory. Numerical
simulations verify the performance improvements. Possible ways to acquire the
required information and to extend the formulation to more than two users are
also discussed.
| cs.GT | this paper considers the problem of how to allocate power among competing users sharing a frequencyselective interference channel we model the interaction between selfish users as a noncooperative game as opposed to the existing iterative waterfilling algorithm that studies the myopic users this paper studies how a foresighted user who knows the channel state information and response strategies of its competing users should optimize its transmission strategy to characterize this multiuser interaction the stackelberg equilibrium is introduced and the existence of this equilibrium for the investigated noncooperative game is shown we analyze this interaction in more detail using a simple twouser example where the foresighted user determines its transmission strategy by solving as a bilevel program which allows him to account for the myopic users response it is analytically shown that a foresighted user can improve its performance if it has the necessary information about its competitors since the optimal solution of stackelberg equilibrium is computationally prohibitive we propose a practical lowcomplexity approach based on lagrangian duality theory numerical simulations verify the performance improvements possible ways to acquire the required information and to extend the formulation to more than two users are also discussed | [['this', 'paper', 'considers', 'the', 'problem', 'of', 'how', 'to', 'allocate', 'power', 'among', 'competing', 'users', 'sharing', 'a', 'frequencyselective', 'interference', 'channel', 'we', 'model', 'the', 'interaction', 'between', 'selfish', 'users', 'as', 'a', 'noncooperative', 'game', 'as', 'opposed', 'to', 'the', 'existing', 'iterative', 'waterfilling', 'algorithm', 'that', 'studies', 'the', 'myopic', 'users', 'this', 'paper', 'studies', 'how', 'a', 'foresighted', 'user', 'who', 'knows', 'the', 'channel', 'state', 'information', 'and', 'response', 'strategies', 'of', 'its', 'competing', 'users', 'should', 'optimize', 'its', 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709.3881 | Logarithmic vector fields and hyperbolicity | In this article we prove that the complement of a very generic curve of
degree at least equal to 14 in the complex projective plane is hyperbolic in
the sense of Kobayashi. Thus, using a new method, we improve the former known
bound obtained by El Goul. We also improve the case of a very generic curve
with two components.
| math.AG math.CV | in this article we prove that the complement of a very generic curve of degree at least equal to 14 in the complex projective plane is hyperbolic in the sense of kobayashi thus using a new method we improve the former known bound obtained by el goul we also improve the case of a very generic curve with two components | [['in', 'this', 'article', 'we', 'prove', 'that', 'the', 'complement', 'of', 'a', 'very', 'generic', 'curve', 'of', 'degree', 'at', 'least', 'equal', 'to', '14', 'in', 'the', 'complex', 'projective', 'plane', 'is', 'hyperbolic', 'in', 'the', 'sense', 'of', 'kobayashi', 'thus', 'using', 'a', 'new', 'method', 'we', 'improve', 'the', 'former', 'known', 'bound', 'obtained', 'by', 'el', 'goul', 'we', 'also', 'improve', 'the', 'case', 'of', 'a', 'very', 'generic', 'curve', 'with', 'two', 'components']] | [-0.14014261133842548, 0.04468135982436144, -0.11382809536673634, 0.04404579643633658, -0.0670726353428879, -0.14394262536444655, 0.05223415776203245, 0.30355330048349954, -0.24099162656624437, -0.2624929500270193, 0.095490838868654, -0.2387437197395553, -0.20149952013803235, 0.26555151871200333, -0.11404539112759343, 0.0013288451295535443, 0.05173117843835409, 0.048927140437950524, -0.09121792150613994, -0.3056541175534159, 0.35339449369743214, 0.002316247545561548, 0.23269979523147566, 0.06729276936059281, 0.10816274553347947, 0.018690944025766546, -0.005893702918695191, 0.046837289296722005, -0.1428455679754626, 0.16912258114129053, 0.25337882199072104, 0.10136081358433653, 0.16561365157160593, -0.33154916029297193, -0.18515064163228212, 0.15520345767115448, 0.15918197091353142, 0.06184739204344608, -0.0067760992866262035, -0.21276217738119096, 0.12573237207291996, -0.12893093360210098, -0.22601033032919138, -0.007458526278072495, -0.008973798359412763, 0.02131464097143735, -0.20955575099688464, 0.018755469932437922, 0.1184762900979337, 0.08671163314543033, -0.0031001785833199144, -0.1041996092614481, -0.005335851517206026, 0.07137025069540083, 0.004848884209453807, 0.08635840021957786, 0.0035980515639787002, -0.0966881784034293, -0.07733479238675624, 0.3424707442774611, -0.1334849381030111, -0.21776795955532688, 0.2019267051906909, -0.18193629249077986, -0.16185071999680692, 0.13138146986553478, 0.15919559355825186, 0.17703405893960242, -0.11093644860942485, 0.0891044031970708, -0.07103506094476177, 0.1322507666565983, 0.09256860478070833, -0.01221564537608775, 0.12849852794749758, 0.1434378864527759, 0.11742234448159915, 0.15582817773161045, -0.0708885995544872, -0.03729193192369983, -0.30461719038627916, -0.19789523570265588, -0.17477818122488778, 0.04037641670744298, -0.10120348829649768, -0.11485353301642305, 0.41239623220290167, 0.07823266480433738, 0.25580697535079416, 0.08069366259279392, 0.27064495375853476, 0.075721923914004, -0.007806575288838249, 0.10662828789139955, 0.27384781768008815, 0.11959215746482171, 0.04605294497273231, -0.1566867482438052, 0.03135014931529255, 0.08100945972127177] |
709.3882 | Hyperbolicit\'e des vari\'et\'es complexes | These notes were written for the Cours Peccot given at the Coll\`ege de
France in 2007.
| math.AG math.CV | these notes were written for the cours peccot given at the college de france in 2007 | [['these', 'notes', 'were', 'written', 'for', 'the', 'cours', 'peccot', 'given', 'at', 'the', 'college', 'de', 'france', 'in', '2007']] | [-0.013608715807398161, 0.07345604511598745, -0.13224138484025996, 0.07272821801404158, -0.08239277526736259, -0.07695871175577243, -0.08231404436131319, 0.23377800310651461, -0.08375463883082072, -0.42430815398693084, 0.18923754669570675, -0.34646858473618825, -0.09351666520039241, 0.19842924525340397, -0.17493360961476961, -0.061206301053365074, 0.026880483453472454, -0.05105100131283204, 0.041118796169757846, -0.4363371020803849, 0.22464212154348692, 0.18939986551801363, 0.31331917028874157, -0.01663103069489201, 0.20630548000335694, 0.06026780686030785, -0.10439652502536774, -0.09379409924149514, -0.19915907544394335, 0.03963916984697183, 0.5108403492718935, 0.12839285805821418, 0.29088425592829786, -0.44113646149635316, 0.021877610497176646, -0.06311855682482322, -0.0701680335526665, 0.06769542706509431, 0.06831964999437332, -0.41551926682392754, 0.026411620682726303, -0.12792282303174338, -0.09583859543005625, 0.08167615992327532, 0.01541559969385465, 0.021886830031871796, -0.14372325216730436, 0.04971666603038708, -0.05123931132256985, 0.23692007859547934, -0.030529421319564185, -0.3049206882715225, -0.03226908408105374, 0.1733123641461134, -0.10024499793847402, 0.025299941189587116, 0.003492368757724762, 0.00905614842971166, -0.11350154243409634, 0.2800803005695343, -0.09562940746545792, -0.0017224440972010294, 0.16512448508292438, -0.15924848873789113, -0.2672378855757415, 0.037088825926184656, 0.249233188914756, 0.07749850402275721, -0.11753225401043892, 0.17517520462473232, -0.008183295369963161, 0.035071667780478794, 0.33704972664515176, -0.18084268197417258, 0.24417862072587013, -0.04794081101814906, -0.1941414350333313, -0.01583046466112137, -0.024913751147687437, -0.04288235865533352, -0.33067219288398825, -0.20842964748541515, -0.13227768056094646, 0.020199906826019288, 0.08349683194731673, -0.1206371749440829, 0.34070978487531345, 0.03684685714542866, 0.0005526435871918996, -0.015597379207611084, 0.039384728545943895, 0.11580501397450765, -0.07679071240127086, 0.15047691992173592, 0.18976263239358862, -0.036280409231161076, 0.3530133786300818, -0.06015953967968623, -0.03199991310636203, 0.11845814865082502] |
709.3883 | Non-linear rheology of layered systems - a phase model approach | We study non-linear rheology of a simple theoretical model developed to mimic
layered systems such as lamellar structures under shear. In the present work we
study a 2-dimensional version of the model which exhibits a Kosterlitz-Thouless
transition in equilibrium at a critical temperature Tc. While the system
behaves as Newtonain fluid at high temperatures T > Tc, it exhibits shear
thinning at low temperatures T < Tc. The non-linear rheology in the present
model is understood as due to motions of edge dislocations and resembles the
non-linear transport phenomena in superconductors by vortex motions.
| cond-mat.stat-mech cond-mat.soft | we study nonlinear rheology of a simple theoretical model developed to mimic layered systems such as lamellar structures under shear in the present work we study a 2dimensional version of the model which exhibits a kosterlitzthouless transition in equilibrium at a critical temperature tc while the system behaves as newtonain fluid at high temperatures t tc it exhibits shear thinning at low temperatures t tc the nonlinear rheology in the present model is understood as due to motions of edge dislocations and resembles the nonlinear transport phenomena in superconductors by vortex motions | [['we', 'study', 'nonlinear', 'rheology', 'of', 'a', 'simple', 'theoretical', 'model', 'developed', 'to', 'mimic', 'layered', 'systems', 'such', 'as', 'lamellar', 'structures', 'under', 'shear', 'in', 'the', 'present', 'work', 'we', 'study', 'a', '2dimensional', 'version', 'of', 'the', 'model', 'which', 'exhibits', 'a', 'kosterlitzthouless', 'transition', 'in', 'equilibrium', 'at', 'a', 'critical', 'temperature', 'tc', 'while', 'the', 'system', 'behaves', 'as', 'newtonain', 'fluid', 'at', 'high', 'temperatures', 't', 'tc', 'it', 'exhibits', 'shear', 'thinning', 'at', 'low', 'temperatures', 't', 'tc', 'the', 'nonlinear', 'rheology', 'in', 'the', 'present', 'model', 'is', 'understood', 'as', 'due', 'to', 'motions', 'of', 'edge', 'dislocations', 'and', 'resembles', 'the', 'nonlinear', 'transport', 'phenomena', 'in', 'superconductors', 'by', 'vortex', 'motions']] | [-0.16279968826869584, 0.20422497738922096, -0.11008103578047745, -0.014101445488884801, -0.024954481063025963, -0.17416847770547736, 0.05564806133043021, 0.3407551536700972, -0.28498288658153365, -0.24665524994349614, 0.035456239726677864, -0.2849061996878489, -0.17468558714482124, 0.1411841950428662, -0.00630584264771365, 0.061942569395203304, -0.05144868346447449, 0.005141426010674838, -0.07161968553681737, -0.1455955640261021, 0.238465668461488, 0.06437170617889774, 0.3275598327467299, 0.022230642110630666, 0.0856508077122271, -0.06300330442204342, 0.1054349992191419, 0.10620552486152915, -0.22422826480444358, -0.049212446881701115, 0.2669254391271945, -0.10088265810222567, 0.19435570926567458, -0.38990248468421074, -0.2988662393257508, -0.0015091255848781893, 0.10544528245278027, 0.12816055815631483, -0.025533927589371477, -0.20141088286333758, 0.04361668945816548, -0.12306790001710634, -0.15405003888451535, -0.10756617409946478, -0.0012107025072707431, -0.01599989250952722, -0.22762876298562015, 0.19581594271585345, 0.09542085724356382, 0.12997705191778747, -0.08140717411373297, -0.06176998154842295, -0.055997245454067444, 0.01002515275436251, 0.03341763001314931, 0.030103350392259334, 0.17085339911990677, -0.18942147547014707, -0.0707109409597014, 0.44443650648969674, -0.0907018620991553, -0.07358575310639065, 0.25072618962629983, -0.14727170177755636, -0.11046141478152055, 0.17701117868494728, 0.19785308751717978, 0.08961401879787445, -0.13349956915835323, 0.05041841135338789, -0.047186434354997524, 0.12832220702978742, 0.04060890873306957, -0.004146213238329991, 0.26171854323626537, 0.2855546787563387, 0.02801948631911174, 0.20101901195416955, -0.07728328166337198, -0.078124708900957, -0.2609449291131054, -0.153021982870996, -0.15986947313143426, 0.03088992167993084, -0.05906793660893606, -0.22771214076277355, 0.3389019281299704, 0.14393437196217154, 0.2311218006523078, 0.026849028055869934, 0.2336283768577825, 0.11150214851089835, 0.05829793384865574, 0.10050422288781113, 0.2358633283647182, 0.1875211624251476, 0.20806035632014516, -0.26226823408986727, 0.07379922122977998, 0.0797866176125472] |
709.3884 | Flexible least squares for temporal data mining and statistical
arbitrage | A number of recent emerging applications call for studying data streams,
potentially infinite flows of information updated in real-time. When multiple
co-evolving data streams are observed, an important task is to determine how
these streams depend on each other, accounting for dynamic dependence patterns
without imposing any restrictive probabilistic law governing this dependence.
In this paper we argue that flexible least squares (FLS), a penalized version
of ordinary least squares that accommodates for time-varying regression
coefficients, can be deployed successfully in this context. Our motivating
application is statistical arbitrage, an investment strategy that exploits
patterns detected in financial data streams. We demonstrate that FLS is
algebraically equivalent to the well-known Kalman filter equations, and take
advantage of this equivalence to gain a better understanding of FLS and suggest
a more efficient algorithm. Promising experimental results obtained from a
FLS-based algorithmic trading system for the S&P 500 Futures Index are
reported.
| q-fin.ST stat.AP stat.ME | a number of recent emerging applications call for studying data streams potentially infinite flows of information updated in realtime when multiple coevolving data streams are observed an important task is to determine how these streams depend on each other accounting for dynamic dependence patterns without imposing any restrictive probabilistic law governing this dependence in this paper we argue that flexible least squares fls a penalized version of ordinary least squares that accommodates for timevarying regression coefficients can be deployed successfully in this context our motivating application is statistical arbitrage an investment strategy that exploits patterns detected in financial data streams we demonstrate that fls is algebraically equivalent to the wellknown kalman filter equations and take advantage of this equivalence to gain a better understanding of fls and suggest a more efficient algorithm promising experimental results obtained from a flsbased algorithmic trading system for the sp 500 futures index are reported | [['a', 'number', 'of', 'recent', 'emerging', 'applications', 'call', 'for', 'studying', 'data', 'streams', 'potentially', 'infinite', 'flows', 'of', 'information', 'updated', 'in', 'realtime', 'when', 'multiple', 'coevolving', 'data', 'streams', 'are', 'observed', 'an', 'important', 'task', 'is', 'to', 'determine', 'how', 'these', 'streams', 'depend', 'on', 'each', 'other', 'accounting', 'for', 'dynamic', 'dependence', 'patterns', 'without', 'imposing', 'any', 'restrictive', 'probabilistic', 'law', 'governing', 'this', 'dependence', 'in', 'this', 'paper', 'we', 'argue', 'that', 'flexible', 'least', 'squares', 'fls', 'a', 'penalized', 'version', 'of', 'ordinary', 'least', 'squares', 'that', 'accommodates', 'for', 'timevarying', 'regression', 'coefficients', 'can', 'be', 'deployed', 'successfully', 'in', 'this', 'context', 'our', 'motivating', 'application', 'is', 'statistical', 'arbitrage', 'an', 'investment', 'strategy', 'that', 'exploits', 'patterns', 'detected', 'in', 'financial', 'data', 'streams', 'we', 'demonstrate', 'that', 'fls', 'is', 'algebraically', 'equivalent', 'to', 'the', 'wellknown', 'kalman', 'filter', 'equations', 'and', 'take', 'advantage', 'of', 'this', 'equivalence', 'to', 'gain', 'a', 'better', 'understanding', 'of', 'fls', 'and', 'suggest', 'a', 'more', 'efficient', 'algorithm', 'promising', 'experimental', 'results', 'obtained', 'from', 'a', 'flsbased', 'algorithmic', 'trading', 'system', 'for', 'the', 'sp', '500', 'futures', 'index', 'are', 'reported']] | [-0.1143175581151357, 0.04707633696934802, -0.1303246823708283, 0.12236485942524714, -0.14385644930271094, -0.17618702429240482, 0.029994846478685888, 0.396458896908334, -0.2945117661760707, -0.31034791346126855, 0.1397593987968144, -0.2690649690253398, -0.1686520155850523, 0.21085324054333887, -0.10335980522627598, 0.039309595305247594, 0.081321466961038, -0.006906259140849813, -0.021399928519389773, -0.2772081865938443, 0.2501734964887068, 0.040524780722928776, 0.298149973860373, -0.01431762657031392, 0.14542281190667852, 0.05075494693623443, -0.06566746957325095, 0.03572369556899039, -0.09518200506697622, 0.14748846160422935, 0.3243171503179825, 0.15833269409685327, 0.31141024999611155, -0.43471234108652645, -0.23163522497419542, 0.10690713666329447, 0.15768374957694303, 0.06151853991991171, -0.05577858576784301, -0.24733908456006407, 0.08864101842663019, -0.18785848575269165, -0.10392621126269684, -0.0985732442111827, 0.010769538990778212, 0.011025988368705015, -0.3244530639576807, 0.0528300269311544, 0.04372118886610205, 0.07079257115396677, -0.05574586626686056, -0.12528316308697374, 0.024598969682588574, 0.0921900704553454, 0.047801452563863076, -0.05374963251301931, 0.11485689689073987, -0.09389494498566593, -0.17081364930526122, 0.3472667893319822, -0.05040807559798728, -0.1799775817143987, 0.15358231171040526, -0.08368458443527553, -0.18979493340152323, 0.13005384864073072, 0.2104592107067622, 0.0640417307988063, -0.19521739164997445, 0.027211854358566236, -0.08709874450879158, 0.20531906911340736, 0.04387186166764731, 0.023935018204177587, 0.18405236732199062, 0.19597853515328426, 0.0969994818758932, 0.13479952239892415, -0.06326043036228808, -0.1186452094932718, -0.2579800339799293, -0.11844929688041342, -0.12885769412168396, -0.01155034027018603, -0.15181082399267448, -0.1240757652245862, 0.34549702210789357, 0.20288374477172358, 0.1763742466507192, 0.07085448473023138, 0.3195070393833538, 0.09892148291926531, 0.05137070176822927, 0.10545641979344826, 0.17406202038482843, 0.044305827826474034, 0.09262573576201029, -0.15601188574930117, 0.10275244441324058, 0.015719635524605743] |
709.3885 | The study of leading twist light cone wave functions of 2S state
charmonium mesons | In this paper leading twist light cone wave functions of 2S state charmonium
mesons are studied and models of these functions are built.
| hep-ph | in this paper leading twist light cone wave functions of 2s state charmonium mesons are studied and models of these functions are built | [['in', 'this', 'paper', 'leading', 'twist', 'light', 'cone', 'wave', 'functions', 'of', '2s', 'state', 'charmonium', 'mesons', 'are', 'studied', 'and', 'models', 'of', 'these', 'functions', 'are', 'built']] | [-0.12183636347965701, 0.25859344062273915, -0.08164075049369232, 0.14840056955227224, 0.00512555816575237, -0.12282213410767524, -0.018652229078883385, 0.43330112788016384, -0.18474711931270102, -0.1476007304761721, 0.01800005819709243, -0.3264637992757818, -0.08909945692057195, 0.09688099643782429, 0.08503169598090767, 0.19187723189268424, 0.06103000832397653, -0.03742943803334366, -0.1201867220275428, -0.20838529227868371, 0.4635973851317945, -0.10355032753685246, 0.16613697616950326, 0.13429381876536037, -0.013955044641118982, -0.015420760109048822, -0.0021752927695279536, -0.07622228238893591, -0.06735053945980642, 0.14236096065977347, 0.25464875138388143, 0.11831258941927682, 0.17946961315591697, -0.44903858135575836, -0.1859999445732683, 0.07120255923465542, 0.14250265725928804, 0.08034524191980777, 0.006736083482594594, -0.287038775768293, 0.05816736655390781, -0.19267784277706043, -0.1874491245607319, -0.13484261881398119, -0.03065950103590022, 0.0641922936167406, -0.23150965024757644, 0.06617039142419463, -0.036889772973549756, 0.009337902271553226, -0.09367234887474257, -0.2638566760022355, -0.07019024251190864, 0.012163604569175968, 0.1098280830875687, 0.18358598034019055, 0.09040583184231883, -0.1767827116013707, -0.201423948549706, 0.36197900569633296, 0.00508501874687879, -0.2061361168389735, 0.0979466060905353, -0.21055064645960278, -0.08099828008562326, 0.1228737348548906, 0.26542835828402767, 0.1660173750335715, -0.1422043946855094, 0.049558977391469576, -0.05702200701963865, 0.12181342231190723, 0.12138835174719924, 0.1848034003911459, 0.1534813880596472, 0.09784713492769262, -0.09822015840884137, 0.12188247542666353, -0.014106417499968538, -0.09534857389719589, -0.3464026813921721, -0.1167269708669704, -0.09810339950996896, 0.049437567350611535, 0.01596721012775442, -0.16947314932780422, 0.4899061250945796, -0.026130010900290115, 0.20089623566878878, 0.024771035122482674, 0.25181352282347885, 0.17097506222679562, 0.02380998701909962, 0.10404249458857205, 0.3013076974159997, 0.2001550413020279, 0.11337278945290524, -0.1645720970371495, 0.006696729272927927, 0.0893211881832584] |
709.3886 | Loops for ILC | This contribution summarizes the on-going activities connected to the
evaluation of higher order radiative corrections in the context of a future
international linear collider (ILC).
| hep-ph | this contribution summarizes the ongoing activities connected to the evaluation of higher order radiative corrections in the context of a future international linear collider ilc | [['this', 'contribution', 'summarizes', 'the', 'ongoing', 'activities', 'connected', 'to', 'the', 'evaluation', 'of', 'higher', 'order', 'radiative', 'corrections', 'in', 'the', 'context', 'of', 'a', 'future', 'international', 'linear', 'collider', 'ilc']] | [-0.1448341093212366, 0.08743552193045616, -0.005385446101427078, 0.07920881835278124, -0.14513034038245679, -0.025572316739708185, -0.013608269914984704, 0.3052558277547359, -0.2244949934259057, -0.2547406801022589, 0.11726525203790515, -0.37069489553570745, -0.0741276852786541, 0.1852512862160802, 0.06831226509064436, 0.07545770972967147, 0.07108570113778115, -0.02131154265254736, -0.07978975716978312, -0.2947534517943859, 0.24483051046729087, 0.2592442087084055, 0.22397314563393592, 0.12579318203032017, 0.029415806718170644, -0.03567105127498507, -0.1835732251405716, -0.03593487069010735, -0.06344663087162189, 0.19687707006931304, 0.3987739911675453, 0.09203780747950077, 0.2916561880707741, -0.3938965927064419, -0.11825086713652126, 0.12048744075000287, 0.04746032856404781, 0.0814280503988266, -0.04582794018089771, -0.2589244905114174, 0.02246178448898718, -0.3285973535478115, -0.12368435692042112, 0.019906983375549317, 0.012858804948627948, -0.04509071741253137, -0.2416383969783783, -0.015143822021782398, 0.02927052468061447, 0.051758862584829333, -0.015229869037866592, -0.15648929376155138, -0.016668178141117096, 0.08954578941687942, 0.05815497100353241, 0.08707656303420663, 0.17118979102000595, -0.20492244004271926, -0.24874035142362116, 0.4071499281935394, -0.12194959650281817, -0.08098302021622658, 0.15767882749438286, -0.29084244385361674, -0.18146140302531422, 0.08350158032029867, 0.3907082100212574, 0.06345938190817833, -0.17593762159347534, 0.1338024316355586, 0.08102398671209812, 0.14430273577570915, -0.042252034991979597, 0.03617416363209486, 0.2770743051357567, 0.30251100126653907, 0.04775764413177967, 0.13181000128388404, -0.019414801374077795, -0.0419182563200593, -0.49842451110482217, -0.10515809468925, -0.0001301664113998413, -0.008930813074111938, 0.03981359235942364, -0.045163162611424924, 0.41777449768036606, 0.2020165228843689, 0.16408918991684915, -0.003803742416203022, 0.3709560871124268, 0.04566134806489572, 0.11199320224695838, 8.973947900813073e-05, 0.3130108824186027, 0.08308280162513255, 0.16462179401889443, -0.3003160002082586, 0.05368979759514332, 0.08986407304182649] |
709.3887 | Reduce Problems From Braid Groups To Braid Monoids | This paper proposes for every $n$, linear time reductions of the word and
conjugacy problems on the braid groups $B_n$ to the corresponding problems on
the braid monoids $B_n^+$ and moreover only using positive words
representations.
| math.GR math.GT | this paper proposes for every n linear time reductions of the word and conjugacy problems on the braid groups b_n to the corresponding problems on the braid monoids b_n and moreover only using positive words representations | [['this', 'paper', 'proposes', 'for', 'every', 'n', 'linear', 'time', 'reductions', 'of', 'the', 'word', 'and', 'conjugacy', 'problems', 'on', 'the', 'braid', 'groups', 'b_n', 'to', 'the', 'corresponding', 'problems', 'on', 'the', 'braid', 'monoids', 'b_n', 'and', 'moreover', 'only', 'using', 'positive', 'words', 'representations']] | [-0.11266226812990175, 0.11763119256162706, -0.024729029482437506, 0.05752717075908246, -0.12196054701538135, -0.139436252525128, 0.08007182013049412, 0.34078835592501694, -0.4247817700314853, -0.22637545631732792, 0.09870448574009869, -0.3311499037469427, -0.1333771901942479, 0.2108648889714257, -0.13430917115571597, 0.02201033683700694, 0.11153148159953868, 0.1495740182387332, -0.15783004908977696, -0.3266491965752923, 0.3796120273052818, -0.07180206581122345, 0.25400453464438516, -0.05118375695827934, 0.1613266210640884, -0.04118638642184022, -0.05607129731732938, -0.04390547063667327, -0.13178416464426038, 0.14363328320905566, 0.36085424631083796, 0.07192083898149172, 0.24430112674599513, -0.3965165943203222, -0.08222671013532414, 0.22974420967511833, 0.20653959839708275, 0.018422092104123697, -0.027926962803273152, -0.2969565108263244, 0.10458550359018975, -0.1408119493474563, 0.0318101879933642, 0.011782854795455933, 0.12108026036164826, 0.006019326082120339, -0.2229852593283997, 0.00028101781693597633, 0.1470642227989932, 0.08241747516310877, -0.044431777050097786, -0.14892390598025587, 0.07498129369277093, 0.16797296283766627, 0.016255076677124534, -0.03633004046989501, 0.06643689289113455, -0.0804715740119314, -0.2126444261521101, 0.45597856409019893, 0.00713409760242535, -0.2861918931076717, 0.13914366516595086, -0.14482977743157083, -0.21539261856297445, 0.07448879400423418, 0.1495777696578039, 0.10488414702316125, 0.00023841878606213463, 0.17582672051988388, -0.2126997270517879, 0.17085346142024113, 0.14667698063163292, -0.07660451452506499, 0.06540324275071423, 0.06646628708889087, 0.0913640484213829, 0.14222172973677516, 0.06423585071590626, 0.10752969249410348, -0.31762090699178064, -0.19704780101569164, -0.09695378167735827, 0.054025017145451985, -0.1495395360066646, -0.20024318295246404, 0.42764630768862033, 0.08295413170061591, 0.08499989658594131, 0.2635067869495187, 0.155801498124169, 0.060003746663116746, 0.07070705087648498, 0.09500179882161319, -0.06114629449115859, 0.19701708925680983, 0.004193167279784878, -0.24299327981296098, 0.007893564839226505, 0.29127044127219254] |
709.3888 | Fluctuation Theorems | Fluctuation theorems, which have been developed over the past 15 years, have
resulted in fundamental breakthroughs in our understanding of how
irreversibility emerges from reversible dynamics, and have provided new
statistical mechanical relationships for free energy changes. They describe the
statistical fluctuations in time-averaged properties of many-particle systems
such as fluids driven to nonequilibrium states, and provide some of the very
few analytical expressions that describe nonequilibrium states. Quantitative
predictions on fluctuations in small systems that are monitored over short
periods can also be made, and therefore the fluctuation theorems allow
thermodynamic concepts to be extended to apply to finite systems. For this
reason, fluctuation theorems are anticipated to play an important role in the
design of nanotechnological devices and in understanding biological processes.
These theorems, their physical significance and results for experimental and
model systems are discussed.
| cond-mat.stat-mech | fluctuation theorems which have been developed over the past 15 years have resulted in fundamental breakthroughs in our understanding of how irreversibility emerges from reversible dynamics and have provided new statistical mechanical relationships for free energy changes they describe the statistical fluctuations in timeaveraged properties of manyparticle systems such as fluids driven to nonequilibrium states and provide some of the very few analytical expressions that describe nonequilibrium states quantitative predictions on fluctuations in small systems that are monitored over short periods can also be made and therefore the fluctuation theorems allow thermodynamic concepts to be extended to apply to finite systems for this reason fluctuation theorems are anticipated to play an important role in the design of nanotechnological devices and in understanding biological processes these theorems their physical significance and results for experimental and model systems are discussed | [['fluctuation', 'theorems', 'which', 'have', 'been', 'developed', 'over', 'the', 'past', '15', 'years', 'have', 'resulted', 'in', 'fundamental', 'breakthroughs', 'in', 'our', 'understanding', 'of', 'how', 'irreversibility', 'emerges', 'from', 'reversible', 'dynamics', 'and', 'have', 'provided', 'new', 'statistical', 'mechanical', 'relationships', 'for', 'free', 'energy', 'changes', 'they', 'describe', 'the', 'statistical', 'fluctuations', 'in', 'timeaveraged', 'properties', 'of', 'manyparticle', 'systems', 'such', 'as', 'fluids', 'driven', 'to', 'nonequilibrium', 'states', 'and', 'provide', 'some', 'of', 'the', 'very', 'few', 'analytical', 'expressions', 'that', 'describe', 'nonequilibrium', 'states', 'quantitative', 'predictions', 'on', 'fluctuations', 'in', 'small', 'systems', 'that', 'are', 'monitored', 'over', 'short', 'periods', 'can', 'also', 'be', 'made', 'and', 'therefore', 'the', 'fluctuation', 'theorems', 'allow', 'thermodynamic', 'concepts', 'to', 'be', 'extended', 'to', 'apply', 'to', 'finite', 'systems', 'for', 'this', 'reason', 'fluctuation', 'theorems', 'are', 'anticipated', 'to', 'play', 'an', 'important', 'role', 'in', 'the', 'design', 'of', 'nanotechnological', 'devices', 'and', 'in', 'understanding', 'biological', 'processes', 'these', 'theorems', 'their', 'physical', 'significance', 'and', 'results', 'for', 'experimental', 'and', 'model', 'systems', 'are', 'discussed']] | [-0.0957401847075401, 0.1609728576462974, -0.14291629599461306, 0.1185022383899617, 0.0013161964032906985, -0.11855346623106279, 0.023665158778253564, 0.34752950423221657, -0.2537321909668221, -0.30246454801585904, 0.09997858985941317, -0.26667160328340117, -0.15369116195369567, 0.2834628124272559, -0.05808262582665876, 0.07676144134577202, 0.04740408348911644, -0.009872156640546787, -0.03692914604165497, -0.2085708039070385, 0.2537322691709235, 0.05174188000028548, 0.2785801676277449, 0.10101591803443928, 0.05450426420007927, -0.017460323137946536, -0.03220736370691894, 0.0274117322422672, -0.16072134703679933, 0.11465831163582481, 0.3335032440128102, 0.0886409175194179, 0.2603831674626934, -0.49714637148207513, -0.276994645042156, 0.0944991815376325, 0.13496050184239985, 0.11959661745408928, -0.04232695676214264, -0.2530437260123807, 0.06462273763600683, -0.15879092953316326, -0.1514396621503798, -0.1757977636981472, 0.060085100614452276, 0.06783712390756262, -0.1624781330642493, 0.09383793500318711, 0.0957428718380549, 0.1033331936063326, -0.07063953271205284, -0.11581866528865868, 0.013355904513551597, 0.18692420388949846, 0.05075263042269491, -0.04139651575436195, 0.1685060192797117, -0.12158841636888953, -0.1581382650318488, 0.35347040986770467, -0.010658096527154355, -0.1693643336319297, 0.23582876434016542, -0.12330425224280443, -0.1898235600657653, 0.10241253099714716, 0.19376223895739278, 0.059583493960562395, -0.2041943632774865, 0.03746955416020195, 0.031190580654673387, 0.13798559997298254, 0.03101869434138517, 0.13468048824132353, 0.2560219689562539, 0.1560318876510027, -0.012097853844971869, 0.10781089664585349, -0.027834349681380325, -0.18209950177444387, -0.2738810509234073, -0.12974828498124186, -0.12883617798797786, 0.08440659756192674, -0.045252142918837744, -0.13614081296111472, 0.37085146290601056, 0.21164718009126576, 0.14778948838458114, 0.01108002792318365, 0.21223588357004675, 0.12319436975066429, 0.04227770755803077, 0.022736831399463656, 0.2886389083124822, 0.19521010285445853, 0.14989093312676455, -0.1624259105225539, 0.07636770167374525, 0.008753830642925332] |
709.3889 | A Neutrino Factory for both Large and Small theta_13 | An analysis of the neutrino oscillation physics capability of a low energy
Neutrino Factory is presented, including a first simulation of the detector
efficiency and event energy threshold. The sensitivity of the physics reach to
the presence of backgrounds is also studied. We consider a representative
baseline of 1480 km, we use muons with 4.12 GeV energy and we exploit a very
conservative estimate of the energy resolution of the detector. Our analysis
suggests an impressive physics reach for this setup, which can eliminate
degenerate solutions, for both large and small values of the mixing angle
theta_13, and can determine leptonic CP violation and the neutrino mass
hierarchy with extraordinary sensitivity.
| hep-ph | an analysis of the neutrino oscillation physics capability of a low energy neutrino factory is presented including a first simulation of the detector efficiency and event energy threshold the sensitivity of the physics reach to the presence of backgrounds is also studied we consider a representative baseline of 1480 km we use muons with 412 gev energy and we exploit a very conservative estimate of the energy resolution of the detector our analysis suggests an impressive physics reach for this setup which can eliminate degenerate solutions for both large and small values of the mixing angle theta_13 and can determine leptonic cp violation and the neutrino mass hierarchy with extraordinary sensitivity | [['an', 'analysis', 'of', 'the', 'neutrino', 'oscillation', 'physics', 'capability', 'of', 'a', 'low', 'energy', 'neutrino', 'factory', 'is', 'presented', 'including', 'a', 'first', 'simulation', 'of', 'the', 'detector', 'efficiency', 'and', 'event', 'energy', 'threshold', 'the', 'sensitivity', 'of', 'the', 'physics', 'reach', 'to', 'the', 'presence', 'of', 'backgrounds', 'is', 'also', 'studied', 'we', 'consider', 'a', 'representative', 'baseline', 'of', '1480', 'km', 'we', 'use', 'muons', 'with', '412', 'gev', 'energy', 'and', 'we', 'exploit', 'a', 'very', 'conservative', 'estimate', 'of', 'the', 'energy', 'resolution', 'of', 'the', 'detector', 'our', 'analysis', 'suggests', 'an', 'impressive', 'physics', 'reach', 'for', 'this', 'setup', 'which', 'can', 'eliminate', 'degenerate', 'solutions', 'for', 'both', 'large', 'and', 'small', 'values', 'of', 'the', 'mixing', 'angle', 'theta_13', 'and', 'can', 'determine', 'leptonic', 'cp', 'violation', 'and', 'the', 'neutrino', 'mass', 'hierarchy', 'with', 'extraordinary', 'sensitivity']] | [-0.09343353135360254, 0.17107436284113484, -0.026327535405184503, 0.13538832690352826, -0.05304901470715465, -0.10941028668805286, 0.06236917877502672, 0.29442517476173136, -0.21496540594946695, -0.38957505097595957, 0.09098160275686029, -0.28442104373479615, -0.012179730508816303, 0.20467043848842517, 0.01868006837059249, 0.04873627093990296, 0.12385113575487389, -0.003229091338276326, -0.11642256833881408, -0.16203772584878345, 0.24744717015775744, 0.16892296051489072, 0.25748386009185165, 0.10519407937924068, 0.15479925125501715, -0.051016755548918304, -0.034328320579653654, -0.039522300197466, -0.1269765289789821, 0.05129082143088585, 0.22522068027457273, 0.12134038864190246, 0.15565165384831997, -0.33107599481806027, -0.1597899055393698, 0.16400841956639345, 0.11340802863684928, 0.07868745586984824, -0.08225171484665626, -0.28435264480812056, 0.06828054707908483, -0.2237326554295414, -0.16779212472724506, -0.06269440140894002, -0.05035014547877484, 0.0014197513637309138, -0.2995152927548121, 0.08938626828157713, -0.024371476562878303, 0.01615798296742477, -0.009318383163059349, -0.1554763133864145, 0.027993210501180175, 0.07719337293324438, 0.0873878804855636, -0.03293371378435745, 0.09768480193163562, -0.17203571931626815, -0.10244709700094284, 0.3854535525782151, -0.06526635969603048, -0.14854206949438867, 0.17804592081790302, -0.1914954030726877, -0.10241701529856335, 0.165468517548262, 0.2214266113508996, 0.0701942392834672, -0.1567674872616457, 0.08245045150108929, -0.04651299436148759, 0.19713704395401585, 0.05623008070412923, 0.04627482239828185, 0.230174134183373, 0.2844338435931383, 0.10940262004900891, 0.02821597483781007, -0.20643545067155952, -0.018582979418538714, -0.36831993868087864, -0.11933777133120341, -0.10391242333125693, 0.0876778099918738, -0.057481114824301446, -0.08438045297422118, 0.4549625828476237, 0.15131506476937248, 0.1892381470298042, 0.021833468565239093, 0.2830563917282029, 0.0976247654374068, 0.042176397638982746, 0.024929029083609378, 0.3557785554791104, 0.13104968017957233, 0.1448393166065216, -0.2659181769400298, 0.00013418165497011965, -0.004671561194013234] |
709.389 | Mass transport and variants of the logarithmic Sobolev inequality | We develop the optimal transportation approach to modified log-Sobolev
inequalities and to isoperimetric inequalities. Various sufficient conditions
for such inequalities are given. Some of them are new even in the classical
log-Sobolev case. The idea behind many of these conditions is that measures
with a non-convex potential may enjoy such functional inequalities provided
they have a strong integrability property that balances the lack of convexity.
In addition, several known criteria are recovered in a simple unified way by
transportation methods and generalized to the Riemannian setting.
| math.PR math.FA | we develop the optimal transportation approach to modified logsobolev inequalities and to isoperimetric inequalities various sufficient conditions for such inequalities are given some of them are new even in the classical logsobolev case the idea behind many of these conditions is that measures with a nonconvex potential may enjoy such functional inequalities provided they have a strong integrability property that balances the lack of convexity in addition several known criteria are recovered in a simple unified way by transportation methods and generalized to the riemannian setting | [['we', 'develop', 'the', 'optimal', 'transportation', 'approach', 'to', 'modified', 'logsobolev', 'inequalities', 'and', 'to', 'isoperimetric', 'inequalities', 'various', 'sufficient', 'conditions', 'for', 'such', 'inequalities', 'are', 'given', 'some', 'of', 'them', 'are', 'new', 'even', 'in', 'the', 'classical', 'logsobolev', 'case', 'the', 'idea', 'behind', 'many', 'of', 'these', 'conditions', 'is', 'that', 'measures', 'with', 'a', 'nonconvex', 'potential', 'may', 'enjoy', 'such', 'functional', 'inequalities', 'provided', 'they', 'have', 'a', 'strong', 'integrability', 'property', 'that', 'balances', 'the', 'lack', 'of', 'convexity', 'in', 'addition', 'several', 'known', 'criteria', 'are', 'recovered', 'in', 'a', 'simple', 'unified', 'way', 'by', 'transportation', 'methods', 'and', 'generalized', 'to', 'the', 'riemannian', 'setting']] | [-0.09481230354326409, 0.04107954723457264, -0.11354685803810351, 0.1797928763712556, -0.1047178550547552, -0.21169841165524408, 0.015631336854164336, 0.3790555357889727, -0.3161203805357218, -0.294962651783947, 0.16351195717457856, -0.2662051424362458, -0.1970029513373278, 0.23422606838433896, -0.1499513125610213, 0.13238942420629915, 0.02466579853708661, 0.000895877368748188, -0.10254362859454569, -0.27383694482349985, 0.32673377175490526, -0.03327100473959649, 0.25197114925398384, 0.12081331727744708, 0.06605288633795152, -0.022068874461056535, 0.017916391855430636, 0.05401223482087601, -0.18676442201983665, 0.18815762272407843, 0.2569634620111089, 0.19842165800049727, 0.34456555064507693, -0.4386006029929186, -0.21441317428726442, 0.15239713398799257, 0.08179988904563754, 0.05006245414856388, -0.08683535973758025, -0.2763809187115755, 0.07091923742446789, -0.09357440388263312, -0.18644762086292166, -0.14679111979988424, -0.0652783781799033, 0.09311977306077647, -0.3095560290330891, 0.09610745188953398, 0.11647712993218975, 0.017971979427086407, -0.10418296093662638, -0.08001259874097656, 0.030600643520470882, 0.08410184194745365, 0.06554898020518987, -0.028560413497088606, 0.1007034749301627, -0.08725166132099667, -0.11251273163361475, 0.34824791723905607, -0.004975225982191258, -0.2842227470043094, 0.22547772172080396, -0.10440207198045628, -0.19158089849123255, 0.020184498442726774, 0.13525995813705416, 0.11512204467557198, -0.21926730675731115, 0.08545827528672986, -0.07114637079432087, 0.026053404392198075, 0.07188130670963505, 0.10365834107167672, 0.09136770060285926, 0.050043772743625, 0.19527263385663352, 0.144583644681112, 0.0019207352167942974, -0.12750581621062443, -0.35366758782156676, -0.16666973935071985, -0.17233863324576684, 0.04635486473480976, -0.15935448185117038, -0.1377713713188504, 0.29401029111698357, 0.08211557323256573, 0.1305763594113117, 0.09155692154714881, 0.20701094212140456, 0.11947768467659846, 0.07929748123024183, 0.0705787930312718, 0.23966621094400897, 0.18118396172094223, 0.09721296583843786, -0.1095053859239141, 0.07960713662337078, 0.11396501115848158] |
709.3891 | A Description of Rotating Multicharged Black Holes in terms of Branes
and Antibranes | We describe rotating multicharge black holes as stacks of intersecting branes
and antibranes together with massless gases on them. Assuming the energies of
the gases to be equal, we find that their angular momentum parameters,
corresponding to black hole rotations, are also equal. The entropy S of this
model is given by S = X S_{sg} where S_{sg} is the supergravity entropy. One
can obtain X = 1 under an assumption which violates conservation of energy. We
show that X = 1 can also be obtained if one assumes that there is only one
single gas, which is some sort of superposition of the gases mentioned above,
and that the brane tensions are reduced by a factor of four. In this
interpretation, energy is conserved and the unusual assumption that energies,
not temperatures, of the gases are equal becomes superfluous.
| hep-th | we describe rotating multicharge black holes as stacks of intersecting branes and antibranes together with massless gases on them assuming the energies of the gases to be equal we find that their angular momentum parameters corresponding to black hole rotations are also equal the entropy s of this model is given by s x s_sg where s_sg is the supergravity entropy one can obtain x 1 under an assumption which violates conservation of energy we show that x 1 can also be obtained if one assumes that there is only one single gas which is some sort of superposition of the gases mentioned above and that the brane tensions are reduced by a factor of four in this interpretation energy is conserved and the unusual assumption that energies not temperatures of the gases are equal becomes superfluous | [['we', 'describe', 'rotating', 'multicharge', 'black', 'holes', 'as', 'stacks', 'of', 'intersecting', 'branes', 'and', 'antibranes', 'together', 'with', 'massless', 'gases', 'on', 'them', 'assuming', 'the', 'energies', 'of', 'the', 'gases', 'to', 'be', 'equal', 'we', 'find', 'that', 'their', 'angular', 'momentum', 'parameters', 'corresponding', 'to', 'black', 'hole', 'rotations', 'are', 'also', 'equal', 'the', 'entropy', 's', 'of', 'this', 'model', 'is', 'given', 'by', 's', 'x', 's_sg', 'where', 's_sg', 'is', 'the', 'supergravity', 'entropy', 'one', 'can', 'obtain', 'x', '1', 'under', 'an', 'assumption', 'which', 'violates', 'conservation', 'of', 'energy', 'we', 'show', 'that', 'x', '1', 'can', 'also', 'be', 'obtained', 'if', 'one', 'assumes', 'that', 'there', 'is', 'only', 'one', 'single', 'gas', 'which', 'is', 'some', 'sort', 'of', 'superposition', 'of', 'the', 'gases', 'mentioned', 'above', 'and', 'that', 'the', 'brane', 'tensions', 'are', 'reduced', 'by', 'a', 'factor', 'of', 'four', 'in', 'this', 'interpretation', 'energy', 'is', 'conserved', 'and', 'the', 'unusual', 'assumption', 'that', 'energies', 'not', 'temperatures', 'of', 'the', 'gases', 'are', 'equal', 'becomes', 'superfluous']] | [-0.14367850460500145, 0.20764561801193782, -0.04903335220145959, 0.09516264173046997, -0.004421156706909338, -0.18974148539688301, 0.017004106179983526, 0.32647706892824285, -0.21023311622578789, -0.2792413754250716, 0.07177876566226284, -0.31389638787066493, -0.038888336148940855, 0.16435238143463654, -0.051721338437939135, -0.020527254521018928, 0.012132021802029123, 0.06260565550420089, -0.09518289842849804, -0.2695169726938561, 0.37781332151067476, 0.026495453066847943, 0.2401685868424398, 0.04801067987379307, 0.11555598676204681, -0.04699832435214409, 0.06179235541020279, 0.04649670234087993, -0.13138611819212437, 0.07935186435502989, 0.20395363463019883, 0.08511930483703813, 0.15736058795203764, -0.4164133735415008, -0.2162524158048823, 0.1292045672286164, 0.13631571961428832, 0.11816817070012567, -0.007959681082758362, -0.19794315512947463, 0.08645942817545599, -0.16007731379251236, -0.16119574685063626, -0.08113574597432657, 0.06475712516241604, 0.012049998951799892, -0.23195191071610208, 0.10951707976723642, 0.09740229002501885, -0.024492642883625296, -0.07558424554213329, -0.10381588080415019, -0.09970581036543956, 0.05390557564657043, 0.1254894514999318, 0.041564943500001124, 0.15789133484164874, -0.09217603940654684, -0.08144708935309339, 0.36871130654105433, -0.03795478378457052, -0.22476763536256772, 0.18112184822352395, -0.18378925321071787, -0.10831048548290576, 0.14720659319190654, 0.06411003294159416, 0.13913048535102496, -0.13716528222171798, 0.11701535206434696, -0.09133939018335055, 0.17990947811760835, 0.12382871157627691, 0.04329856453739383, 0.2907660009891347, 0.09666298253944626, 0.046269364097517814, 0.11535874276628924, -0.06364980749807458, -0.04574691018400093, -0.3610188156918243, -0.1674452726505007, -0.19147059712041584, 0.1279617950976697, -0.08520439440628116, -0.11035564443165505, 0.31215700325383633, 0.12072328986531054, 0.21844533058228316, -0.001952422737074947, 0.25341366315748287, 0.12723822151396977, 0.05198588093087353, 0.11184887244814525, 0.2600529832465798, 0.09285588973305292, 0.036542294850503955, -0.19024802737489896, -0.02535230020337083, 0.08090183349947135] |
709.3892 | AC conductivity of polymer composites: an efficient confirmatory tool
for qualifying crude multi-walled carbon nanotube-samples | The present communication highlights that ac conductivity measurement of the
multi-walled carbon nanotubes (MWNTs)-polymer composites is a very promising
characterizing tool for qualifying any crude MWNT-sample synthesized by
electric arc. It distinguishes graphite structures from that of the MWNTs and
reflects the relative amount of nearly one-dimensional structures and disorders
present within the samples. This new protocol would help in evolving more
direct and quantitative criteria for qualification of MWNTs synthesized through
diverse techniques and will definitely add up to the conceptual understanding
in visualizing the exact roles of different controlling parameters affecting
the growth of MWNTs.
| cond-mat.mtrl-sci | the present communication highlights that ac conductivity measurement of the multiwalled carbon nanotubes mwntspolymer composites is a very promising characterizing tool for qualifying any crude mwntsample synthesized by electric arc it distinguishes graphite structures from that of the mwnts and reflects the relative amount of nearly onedimensional structures and disorders present within the samples this new protocol would help in evolving more direct and quantitative criteria for qualification of mwnts synthesized through diverse techniques and will definitely add up to the conceptual understanding in visualizing the exact roles of different controlling parameters affecting the growth of mwnts | [['the', 'present', 'communication', 'highlights', 'that', 'ac', 'conductivity', 'measurement', 'of', 'the', 'multiwalled', 'carbon', 'nanotubes', 'mwntspolymer', 'composites', 'is', 'a', 'very', 'promising', 'characterizing', 'tool', 'for', 'qualifying', 'any', 'crude', 'mwntsample', 'synthesized', 'by', 'electric', 'arc', 'it', 'distinguishes', 'graphite', 'structures', 'from', 'that', 'of', 'the', 'mwnts', 'and', 'reflects', 'the', 'relative', 'amount', 'of', 'nearly', 'onedimensional', 'structures', 'and', 'disorders', 'present', 'within', 'the', 'samples', 'this', 'new', 'protocol', 'would', 'help', 'in', 'evolving', 'more', 'direct', 'and', 'quantitative', 'criteria', 'for', 'qualification', 'of', 'mwnts', 'synthesized', 'through', 'diverse', 'techniques', 'and', 'will', 'definitely', 'add', 'up', 'to', 'the', 'conceptual', 'understanding', 'in', 'visualizing', 'the', 'exact', 'roles', 'of', 'different', 'controlling', 'parameters', 'affecting', 'the', 'growth', 'of', 'mwnts']] | [-0.1162928907041389, 0.14641134132091937, -0.06423246337002829, 0.01588624397378513, -0.030617470141059082, -0.1568990183945157, 0.10942572548642363, 0.3937934311302869, -0.2507330294110273, -0.327355316536207, 0.04427865507130168, -0.2576961044026049, -0.13421448866689675, 0.2378351700786305, -0.031050525108156236, 0.023001067252143435, 0.07180578272397581, -0.08666722696691163, -0.06030952984859285, -0.18154283270828034, 0.2721329146751056, 0.07163806734116454, 0.33994600035642325, 0.09420287582141004, 0.04874599576976738, -0.0068161809571871635, -0.02100144603142613, 0.043326147782959436, -0.13025896326274194, 0.16535034799262097, 0.24651485000197826, 0.049589219998176164, 0.24540046802476834, -0.4522532312885711, -0.21636206929228807, 0.042346702525882345, 0.12123125205490444, 0.11033717297801846, -0.09651606262149902, -0.24805549620405623, 0.11139177535047853, -0.09265062251177274, -0.12850898211135675, -0.09490529419854284, 0.017664719105232506, 0.013127983124362991, -0.21723365543263132, 0.07089503051339355, 0.03574455684628399, 0.08584479376379596, -0.09276515211370823, -0.14910207665280292, -0.04869521050468872, 0.1683226091382829, 0.016817304729729105, -0.0359075004786351, 0.18523003676612126, -0.1459411315791505, -0.07135098971622555, 0.4175975468695948, -0.035852365558476824, -0.10889061424608563, 0.20293397177991115, -0.10795079655455131, -0.12725625057263593, 0.13522894418259201, 0.1332254063668906, 0.08991170215273374, -0.20696597624521115, -0.008760820361050336, 0.005744669821701551, 0.16600397363470523, 0.08081653822752598, 0.054218676875615004, 0.23789469643839095, 0.23352889312725317, 0.025375167795113826, 0.1686771205675445, -0.05562014954507743, -0.01155525901796002, -0.23161139815653625, -0.22747390040220986, -0.14882761340000128, 0.07104938751772831, -0.10311922340096269, -0.17716137896242895, 0.40487601751167523, 0.1463410082812372, 0.14163531297327656, -0.012614045858285145, 0.2825296521676998, 0.01571631987432116, 0.10954403014892657, -0.016522715824018968, 0.24903381678251255, 0.15358726776842224, 0.11311413484233382, -0.20836070901346637, 0.16119937793792863, -0.02362113297475796] |
709.3893 | Linearization of skew-periodic loops and $\mathbb S^1$-cocycles | We discuss linearization of skew-periodic loops. We generalize the situation
to linearization of non-commutative loops and $\mathbb S^1$-cocycles.
| math.KT math.OA | we discuss linearization of skewperiodic loops we generalize the situation to linearization of noncommutative loops and mathbb s1cocycles | [['we', 'discuss', 'linearization', 'of', 'skewperiodic', 'loops', 'we', 'generalize', 'the', 'situation', 'to', 'linearization', 'of', 'noncommutative', 'loops', 'and', 'mathbb', 's1cocycles']] | [-0.25726174004375935, 0.08288884640205652, -0.014137294259853661, 0.10977127123624086, -0.16769641858991235, -0.11334024218376726, 0.021870383992791176, 0.37693393626250327, -0.273682723287493, -0.13118861301336437, 0.14599712059134617, -0.2563086766167544, -0.20238721324130893, 0.14888041792437434, -0.19090160727500916, 0.01604221574962139, -0.01774796494282782, 0.020931857055984437, -0.16564356203889474, -0.25583932804875076, 0.42946804594248533, -0.02374200808117166, 0.11382460707682185, 0.06673739045800176, 0.1037772634299472, 0.025797637674259022, -0.036280366708524525, -0.011913605267181993, -0.18248980771750212, 0.09377623710315675, 0.19134353543631732, 0.08701124635990709, 0.14868942578323185, -0.48404190316796303, -0.19257774634752423, 0.14561522495932877, 0.19977607135660946, 0.08269319264218211, 0.0548612127895467, -0.24540673289448023, 0.10874812339898199, -0.12937696208246052, -0.22938587749376893, -0.1184567321324721, -0.05015122937038541, -0.0026951818726956844, -0.22561359964311123, 0.010956508805975318, 0.15054024406708777, 0.08577266370411962, -0.06295753613812849, -0.03859344247030094, 0.01814810954965651, 0.07662400376284495, 0.047224992187693715, -0.00961675206781365, 0.1687686198274605, -0.02013024315237999, -0.18393631651997566, 0.3076113290153444, -0.014982246444560587, -0.20954273780807853, 0.10930364206433296, -0.20916262734681368, -0.18072083638980985, 0.019062534207478166, 0.14614761131815612, 0.18272085627540946, -0.011247568822000176, 0.17448077466906398, -0.0571679153945297, 0.03614719910547137, 0.13676497910637408, -0.041308274725452065, 0.0696216884534806, 0.01948665629606694, 0.06319668181822635, 0.24358762294286862, -0.04009574349038303, -0.20218139787903056, -0.43517567310482264, -0.14264615497086197, 0.0032936778152361512, 0.13207458332180977, -0.06484954277311772, -0.2084728549234569, 0.3971380558796227, 0.22788434434914961, 0.24074776616180316, 0.08685353281907737, 0.26871457626111805, 0.1638736822642386, 0.045724809751845896, 0.05825235752854496, 0.14971592463552952, 0.2535432701697573, 0.07597197964787483, -0.197412108653225, -0.1458844667649828, 0.24510993342846632] |
709.3894 | Electrically injected cavity polaritons | We have realised a semiconductor quantum structure that produces
electroluminescence while operating in the light-matter strong coupling regime.
The mid-infrared light emitting device is composed of a quantum cascade
structure embedded in a planar microcavity, based on the GaAs/AlGaAs material
system. At zero bias, the structure is characterised using reflectivity
measurements which show, up to room temperature, a wide polariton anticrossing
between an intersubband transition and the resonant cavity photon mode. Under
electrical injection the spectral features of the emitted light change
drastically, as electrons are resonantly injected in a reduced part of the
polariton branches. Our experiment demonstrates that electrons can be
selectively injected into polariton states up to room temperature.
| cond-mat.other quant-ph | we have realised a semiconductor quantum structure that produces electroluminescence while operating in the lightmatter strong coupling regime the midinfrared light emitting device is composed of a quantum cascade structure embedded in a planar microcavity based on the gaasalgaas material system at zero bias the structure is characterised using reflectivity measurements which show up to room temperature a wide polariton anticrossing between an intersubband transition and the resonant cavity photon mode under electrical injection the spectral features of the emitted light change drastically as electrons are resonantly injected in a reduced part of the polariton branches our experiment demonstrates that electrons can be selectively injected into polariton states up to room temperature | [['we', 'have', 'realised', 'a', 'semiconductor', 'quantum', 'structure', 'that', 'produces', 'electroluminescence', 'while', 'operating', 'in', 'the', 'lightmatter', 'strong', 'coupling', 'regime', 'the', 'midinfrared', 'light', 'emitting', 'device', 'is', 'composed', 'of', 'a', 'quantum', 'cascade', 'structure', 'embedded', 'in', 'a', 'planar', 'microcavity', 'based', 'on', 'the', 'gaasalgaas', 'material', 'system', 'at', 'zero', 'bias', 'the', 'structure', 'is', 'characterised', 'using', 'reflectivity', 'measurements', 'which', 'show', 'up', 'to', 'room', 'temperature', 'a', 'wide', 'polariton', 'anticrossing', 'between', 'an', 'intersubband', 'transition', 'and', 'the', 'resonant', 'cavity', 'photon', 'mode', 'under', 'electrical', 'injection', 'the', 'spectral', 'features', 'of', 'the', 'emitted', 'light', 'change', 'drastically', 'as', 'electrons', 'are', 'resonantly', 'injected', 'in', 'a', 'reduced', 'part', 'of', 'the', 'polariton', 'branches', 'our', 'experiment', 'demonstrates', 'that', 'electrons', 'can', 'be', 'selectively', 'injected', 'into', 'polariton', 'states', 'up', 'to', 'room', 'temperature']] | [-0.14733820200698183, 0.2608746079049524, -0.08458106927407373, -0.03865783978757723, 0.002022387455716463, -0.18945214261683369, 0.06101909559739787, 0.4331178661668673, -0.25747909363625304, -0.3054344949279247, -0.05101753001612711, -0.31700473800966783, -0.06261897990978989, 0.2639293743289142, 0.045840285261095105, 0.018607661152990267, 0.02767427921727566, -0.07678972491703462, 0.014367903452174298, -0.13911975306941063, 0.26156328871729784, 0.04323385585822897, 0.3517436719890351, 0.11255645918000871, 0.12300573472332742, -0.040317010419260314, 0.1710671613109298, -0.03516524028964341, -0.051243407461177934, 0.047319945473386076, 0.26864207473408896, -0.07800295683305844, 0.2136893732531462, -0.4336686201817689, -0.23546845293770144, 0.005750104121813949, 0.1819330731980569, 0.12523333453178306, -0.11140418824860328, -0.30038878922849627, 0.008519819616464832, -0.11088757583222884, -0.09405034218798392, -0.00990729675062799, -0.07261625341405827, -0.04521653612911385, -0.22058221465340466, 0.012074909545065435, 0.05763966656273364, 0.037224662354024725, -0.0290217938184339, -0.023385660293570254, -0.07237761230083249, 0.06289951407234184, -0.06132973579639968, -0.009299102419130836, 0.2668719682094109, -0.12896823944382568, -0.10202327399747446, 0.3330185859532711, -0.13927981201517728, -0.07279205979180656, 0.15538778327546815, -0.2144282826255741, 0.01598941192579722, 0.21907313619989768, 0.17497239123830305, 0.08962190516259787, -0.111308049877802, 0.073541591450651, -3.905813874942916e-05, 0.23719789471942931, 0.09257946923857421, 0.1580717419357305, 0.2983891176325934, 0.2187393378829126, 0.022367018343564787, 0.19845815547471699, -0.11398669033951592, -0.03443674586430591, -0.24060984667656676, -0.12676327020329023, -0.21608364603759714, 0.10880641876636739, -0.036923957776447684, -0.16896553530490824, 0.4666743602761666, 0.10281293137813918, 0.17399284698850742, -0.05186661134835698, 0.31117598499986343, 0.18938063623396115, 0.08619746281848555, 0.05473675231249737, 0.33486793112076285, 0.17093410131721093, 0.09918504904115773, -0.3215782068935888, 0.006081394414650276, -0.05872137178084813] |
709.3895 | Energy Extraction from Black Holes | In this lecture I give an introduction to the rotational energy extraction of
black holes by the electromagnetic Blandford-Znajek process and the generation
of relativistic jets. After some basic material on the electrodynamics of black
hole magnetospheres, we derive the most important results of Blandford and
Znajek by making use of Kerr-Schild coordinates, which are regular on the
horizon. In a final part we briefly describe results of recent numerical
simulations of accretion flows on rotating black holes, the resulting
large-scale outflows, and the formation of collimated relativistic jets with
high Lorentz factors.
| astro-ph gr-qc hep-ph | in this lecture i give an introduction to the rotational energy extraction of black holes by the electromagnetic blandfordznajek process and the generation of relativistic jets after some basic material on the electrodynamics of black hole magnetospheres we derive the most important results of blandford and znajek by making use of kerrschild coordinates which are regular on the horizon in a final part we briefly describe results of recent numerical simulations of accretion flows on rotating black holes the resulting largescale outflows and the formation of collimated relativistic jets with high lorentz factors | [['in', 'this', 'lecture', 'i', 'give', 'an', 'introduction', 'to', 'the', 'rotational', 'energy', 'extraction', 'of', 'black', 'holes', 'by', 'the', 'electromagnetic', 'blandfordznajek', 'process', 'and', 'the', 'generation', 'of', 'relativistic', 'jets', 'after', 'some', 'basic', 'material', 'on', 'the', 'electrodynamics', 'of', 'black', 'hole', 'magnetospheres', 'we', 'derive', 'the', 'most', 'important', 'results', 'of', 'blandford', 'and', 'znajek', 'by', 'making', 'use', 'of', 'kerrschild', 'coordinates', 'which', 'are', 'regular', 'on', 'the', 'horizon', 'in', 'a', 'final', 'part', 'we', 'briefly', 'describe', 'results', 'of', 'recent', 'numerical', 'simulations', 'of', 'accretion', 'flows', 'on', 'rotating', 'black', 'holes', 'the', 'resulting', 'largescale', 'outflows', 'and', 'the', 'formation', 'of', 'collimated', 'relativistic', 'jets', 'with', 'high', 'lorentz', 'factors']] | [-0.1278435989052698, 0.11310567684322646, -0.03651316605648527, 0.1314677894385558, -0.10686626723436739, -0.07203628056211978, -0.03720019909963813, 0.33423191975922356, -0.161908218951305, -0.29345697476979227, 0.09845183354862515, -0.2674346752984259, -0.05403504084535344, 0.22491179933641306, -0.033450320963898016, 0.017497785851329325, 0.04747067435684624, -0.044713382729359215, -0.09070548651519642, -0.19885212482423872, 0.40539041470976606, 0.16462211972803517, 0.19192796154949132, -0.0016794028661904796, 0.11876009473757397, -0.01787092697666457, -0.05390209577456918, 0.007226508571415819, -0.16916356210707015, 0.09601918527836441, 0.1686577529456186, 0.13719327792134736, 0.22240866219057823, -0.4774114054537589, -0.2048534013040524, -0.043992527023268245, 0.13899105286816515, 0.1443796371186768, -0.1350685187592922, -0.254901772364974, 0.05020378462429489, -0.24652155398601486, -0.13614501624858827, -0.05355240583860425, 0.05898738621924353, 0.03835750137886373, -0.191078907931574, 0.09902818423886132, 0.11175694349672526, -0.05434304472654858, -0.10565765132477897, -0.030333438968305947, -0.03207449632025854, 0.04021288657195426, 0.16686880153382286, 0.03481116380182005, 0.21369622505998478, -0.16231451837736513, -0.16535263529588137, 0.4085928249343108, 0.0005407334375445561, -0.1403299379012277, 0.19362494210282, -0.2553513842154174, -0.13612521474464967, 0.13525290737524429, 0.2221069233992728, 0.20212947728953534, -0.13054108293476685, 0.019772992387378927, -0.033778327286884346, 0.08728713967827378, 0.05750467946442465, 0.03196948381911923, 0.3517483694138386, 0.13053102731474384, -0.07357876133974842, 0.14790728228086586, -0.0914913627183846, -0.060216691480168415, -0.3579192130515973, -0.14026536122565308, -0.13045545348707305, 0.13167435867381433, -0.1323870804157078, -0.14866045420308427, 0.3619066689223532, 0.10411999109877093, 0.16498693620400523, -0.05059914836554878, 0.2830638854007233, 0.07732865753613653, -0.0043639691718052875, 0.1877605478574712, 0.35283799348956085, 0.16196466233801618, 0.16002254090422102, -0.23746075200778183, -0.027388194639746462, 0.13171593508537938] |
709.3896 | Variations and estimators for the selfsimilarity order through Malliavin
calculus | Using multiple stochastic integrals and the Malliavin calculus, we analyze
the asymptotic behavior of quadratic variations for a specific non-Gaussian
self-similar process, the Rosenblatt process. We apply our results to the
design of strongly consistent statistical estimators for the self-similarity
parameter $H$. Although, in the case of the Rosenblatt process, our estimator
has non-Gaussian asymptotics for all $H>1/2$, we show the remarkable fact that
the process's data at time 1 can be used to construct a distinct, compensated
estimator with Gaussian asymptotics for $H\in(1/2,2/3)$.
| math.PR math.ST stat.TH | using multiple stochastic integrals and the malliavin calculus we analyze the asymptotic behavior of quadratic variations for a specific nongaussian selfsimilar process the rosenblatt process we apply our results to the design of strongly consistent statistical estimators for the selfsimilarity parameter h although in the case of the rosenblatt process our estimator has nongaussian asymptotics for all h12 we show the remarkable fact that the processs data at time 1 can be used to construct a distinct compensated estimator with gaussian asymptotics for hin1223 | [['using', 'multiple', 'stochastic', 'integrals', 'and', 'the', 'malliavin', 'calculus', 'we', 'analyze', 'the', 'asymptotic', 'behavior', 'of', 'quadratic', 'variations', 'for', 'a', 'specific', 'nongaussian', 'selfsimilar', 'process', 'the', 'rosenblatt', 'process', 'we', 'apply', 'our', 'results', 'to', 'the', 'design', 'of', 'strongly', 'consistent', 'statistical', 'estimators', 'for', 'the', 'selfsimilarity', 'parameter', 'h', 'although', 'in', 'the', 'case', 'of', 'the', 'rosenblatt', 'process', 'our', 'estimator', 'has', 'nongaussian', 'asymptotics', 'for', 'all', 'h12', 'we', 'show', 'the', 'remarkable', 'fact', 'that', 'the', 'processs', 'data', 'at', 'time', '1', 'can', 'be', 'used', 'to', 'construct', 'a', 'distinct', 'compensated', 'estimator', 'with', 'gaussian', 'asymptotics', 'for', 'hin1223']] | [-0.05766306604337262, 0.06244084688397237, -0.16500659216846147, 0.12753936777370248, -0.056896893582475114, -0.11317909562803176, 0.031444205442465935, 0.3624871148312666, -0.2953343561973916, -0.22568148404292493, 0.12793150935911135, -0.26147333295813885, -0.17383068847660738, 0.19657374723219728, -0.10104863031441907, 0.10924388838550413, 0.0434260475954198, -0.01300463028790721, -0.03712197645365384, -0.2501212929611106, 0.31830802853836354, 0.04207849044756717, 0.2657809210828988, -0.05851964158825127, 0.12946516292377275, 0.0026225340019642228, -0.06024922766015831, -0.016502427494052393, -0.18955152008041853, 0.0862175631785698, 0.22896329786751912, 0.07156527818865087, 0.2955651815801141, -0.34162853352994804, -0.20139229109129272, 0.1408701300205865, 0.15622694046392263, 0.06276273791375289, -0.002175125338316682, -0.2898050192547177, 0.08287861748705114, -0.13424537509275847, -0.16580474969134273, -0.11867642872798514, -0.006895872349121484, 0.043471835315205064, -0.35812724735139007, 0.1307218766417803, 0.10817413306402335, 0.009034220005823186, -0.027451347077198058, -0.1214767121765987, -0.007222706174298403, 0.07704653809722288, 0.07608147906819751, -0.0503140346831586, 0.1106898774707084, -0.07588983312563365, -0.12913034797971507, 0.26771830840328015, -0.13329574187056173, -0.22674653142780424, 0.13612736294786615, -0.21358281224741635, -0.2000875160636672, 0.11941013730927763, 0.1634217473532421, 0.12256784757307496, -0.16724355131140853, 0.1183065475681404, 0.0072083894825394615, 0.08779486837650997, 0.04918588317246232, 0.003155511618782598, 0.09594312213720327, 0.12083046225527952, 0.0772676969126585, 0.16146995590758476, -0.11173619654770177, -0.13659579663099833, -0.3532818167320318, -0.1398397751029087, -0.22232114860412092, 0.03887414655238614, -0.2147393228585414, -0.20359210750783782, 0.3723565740398614, 0.19835887819332917, 0.18828290148150087, 0.13846101446907563, 0.216719706037856, 0.2087004635713052, -0.01012672601738967, 0.0770589312544115, 0.1669456344322268, 0.12955882553998604, 0.11208876298673182, -0.18963461969025344, 0.13286791314898305, 0.024700533946504795] |
709.3897 | Microscopic Dynamics of Shape Coexistence Phenomena around 68Se and 72Kr | The adiabatic self-consistent collective coordinate (ASCC) method is applied
to the pairing-plus-quadrupole (P + Q) model Hamiltonian including the
quadrupole pairing, and the oblate-prolate shape coexistence phenomena in
proton-rich nuclei, 68Se and 72Kr, are investigated. It is shown that the
collective path connecting the oblate and prolate local minima runs along a
triaxial valley in the beta-gamma plane. Quantum collective Hamiltonian is
constructed and low-lying energy spectra and E2 transition probabilities are
calculated for the first time using the ASCC method. Basic properties of the
shape coexistence/mixing are well reproduced. We also clarify the effects of
the time-odd pair field on the collective mass (inertial function) for the
large-amplitude vibration and on the rotational moments of inertia about three
principal axes.
| nucl-th | the adiabatic selfconsistent collective coordinate ascc method is applied to the pairingplusquadrupole p q model hamiltonian including the quadrupole pairing and the oblateprolate shape coexistence phenomena in protonrich nuclei 68se and 72kr are investigated it is shown that the collective path connecting the oblate and prolate local minima runs along a triaxial valley in the betagamma plane quantum collective hamiltonian is constructed and lowlying energy spectra and e2 transition probabilities are calculated for the first time using the ascc method basic properties of the shape coexistencemixing are well reproduced we also clarify the effects of the timeodd pair field on the collective mass inertial function for the largeamplitude vibration and on the rotational moments of inertia about three principal axes | [['the', 'adiabatic', 'selfconsistent', 'collective', 'coordinate', 'ascc', 'method', 'is', 'applied', 'to', 'the', 'pairingplusquadrupole', 'p', 'q', 'model', 'hamiltonian', 'including', 'the', 'quadrupole', 'pairing', 'and', 'the', 'oblateprolate', 'shape', 'coexistence', 'phenomena', 'in', 'protonrich', 'nuclei', '68se', 'and', '72kr', 'are', 'investigated', 'it', 'is', 'shown', 'that', 'the', 'collective', 'path', 'connecting', 'the', 'oblate', 'and', 'prolate', 'local', 'minima', 'runs', 'along', 'a', 'triaxial', 'valley', 'in', 'the', 'betagamma', 'plane', 'quantum', 'collective', 'hamiltonian', 'is', 'constructed', 'and', 'lowlying', 'energy', 'spectra', 'and', 'e2', 'transition', 'probabilities', 'are', 'calculated', 'for', 'the', 'first', 'time', 'using', 'the', 'ascc', 'method', 'basic', 'properties', 'of', 'the', 'shape', 'coexistencemixing', 'are', 'well', 'reproduced', 'we', 'also', 'clarify', 'the', 'effects', 'of', 'the', 'timeodd', 'pair', 'field', 'on', 'the', 'collective', 'mass', 'inertial', 'function', 'for', 'the', 'largeamplitude', 'vibration', 'and', 'on', 'the', 'rotational', 'moments', 'of', 'inertia', 'about', 'three', 'principal', 'axes']] | [-0.1527626955949624, 0.18940875365321214, -0.09203022033228384, 0.1101803517783992, -0.011118742196898287, -0.08288156427054977, -0.024378973080699022, 0.38031389413711925, -0.219702830259727, -0.2638790496935447, -0.0508462646859698, -0.25876221398712007, -0.11579340885121686, 0.15067217285201576, 0.05264402957788358, 0.03155839579024663, 0.011492104545080413, 0.04284322444970409, -0.07794331358551669, -0.11945354736041433, 0.27053294964910796, 0.03999334078883597, 0.26670795427344274, -0.016337713098619134, 0.050055931648239495, 0.05183258896577172, 0.05405552371715506, -0.01851448738404239, -0.13852993234983538, 0.04804810539353639, 0.18716832177209047, 0.035019321627138805, 0.16071416063447638, -0.40751745947636664, -0.15297889107605442, 0.0735555521658777, 0.1808116155404908, 0.14494251538878114, -0.007465466193389147, -0.29719499293714763, 0.008805332060122358, -0.17522099285658138, -0.20685592195174346, -0.14546144844498485, 0.06738785466004629, 0.10370331833061451, -0.21504532233375356, 0.12163298914456391, 0.06040989514185639, 0.10239021724943692, -0.14305745989743932, -0.17539511625654997, -0.0853633064951282, 0.07650413541899373, 0.09505596901387131, 0.008172318145322302, 0.19564339980327836, -0.05395087346211464, -0.06935628807210985, 0.42775980142566067, 0.027537434652913362, -0.1526710864874379, 0.0968481545879816, -0.136645402002614, -0.12970283887116238, 0.15704303766057517, 0.1359212378777253, 0.13823967918676014, -0.09731983793123315, 0.07540334885028036, 0.013504653773270547, 0.1300792431361818, 0.04046705712486679, -0.00231410106595528, 0.20774529472867773, 0.09695404420296351, -0.002387335787837704, 0.05880481131607666, -0.151498459574456, -0.15916482114698738, -0.2928403037134558, -0.08226164298442502, -0.20264374233956914, 0.005893550300970674, -0.0660344150045906, -0.12617746869873372, 0.4463871837884653, 0.03189776153303683, 0.18459764210274443, -0.0342050649303322, 0.2681307263012665, 0.11724594016559423, 0.026073894242290407, 0.06055368927773088, 0.31879335271660236, 0.20240912003791892, 0.03853162063169293, -0.3563618411470088, 0.0067977052841645975, 0.08413070689712185] |
709.3898 | Neutrinos from WIMP Annihilations Obtained Using a Full Three-Flavor
Monte Carlo Approach | Weakly Interacting Massive Particles (WIMPs) are one of the main candidates
for the dark matter in the Universe. If these particles make up the dark
matter, then they can be captured by the Sun or the Earth, sink to the
respective cores, annihilate, and produce neutrinos. Thus, these neutrinos can
be a striking dark matter signature at neutrino telescopes looking towards the
Sun and/or the Earth. Here, we improve previous analyses on computing the
neutrino yields from WIMP annihilations in several respects. We include
neutrino oscillations in a full three-flavor framework as well as all effects
from neutrino interactions on the way through the Sun (absorption, energy loss,
and regeneration from tau decays). In addition, we study the effects of
non-zero values of the mixing angle $\theta_{13}$ as well as the normal and
inverted neutrino mass hierarchies. Our study is performed in an event-based
setting which makes these results very useful both for theoretical analyses and
for building a neutrino telescope Monte Carlo code. All our results for the
neutrino yields, as well as our Monte Carlo code, are publicly available. We
find that the yield of muon-type neutrinos from WIMP annihilations in the Sun
is enhanced or suppressed, depending on the dominant WIMP annihilation channel.
This effect is due to an effective flavor mixing caused by neutrino
oscillations. For WIMP annihilations inside the Earth, the distance from source
to detector is too small to allow for any significant amount of oscillations at
the neutrino energies relevant for neutrino telescopes.
| hep-ph astro-ph | weakly interacting massive particles wimps are one of the main candidates for the dark matter in the universe if these particles make up the dark matter then they can be captured by the sun or the earth sink to the respective cores annihilate and produce neutrinos thus these neutrinos can be a striking dark matter signature at neutrino telescopes looking towards the sun andor the earth here we improve previous analyses on computing the neutrino yields from wimp annihilations in several respects we include neutrino oscillations in a full threeflavor framework as well as all effects from neutrino interactions on the way through the sun absorption energy loss and regeneration from tau decays in addition we study the effects of nonzero values of the mixing angle theta_13 as well as the normal and inverted neutrino mass hierarchies our study is performed in an eventbased setting which makes these results very useful both for theoretical analyses and for building a neutrino telescope monte carlo code all our results for the neutrino yields as well as our monte carlo code are publicly available we find that the yield of muontype neutrinos from wimp annihilations in the sun is enhanced or suppressed depending on the dominant wimp annihilation channel this effect is due to an effective flavor mixing caused by neutrino oscillations for wimp annihilations inside the earth the distance from source to detector is too small to allow for any significant amount of oscillations at the neutrino energies relevant for neutrino telescopes | [['weakly', 'interacting', 'massive', 'particles', 'wimps', 'are', 'one', 'of', 'the', 'main', 'candidates', 'for', 'the', 'dark', 'matter', 'in', 'the', 'universe', 'if', 'these', 'particles', 'make', 'up', 'the', 'dark', 'matter', 'then', 'they', 'can', 'be', 'captured', 'by', 'the', 'sun', 'or', 'the', 'earth', 'sink', 'to', 'the', 'respective', 'cores', 'annihilate', 'and', 'produce', 'neutrinos', 'thus', 'these', 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-0.23664823661092668, 0.02938533556833863, 0.0375313858166337] |
709.3899 | On Third-Order Timelike Splitting Functions and Top-Mediated Higgs Decay
into Hadrons | We employ relations between spacelike and timelike deep-inelastic processes
in perturbative QCD to calculate the next-to-next-to-leading order (NNLO)
contributions to the timelike quark-quark and gluon-gluon splitting functions
for the evolution of flavour-singlet fragmentation distributions. We briefly
address the end-point behaviour and the numerical size of these third-order
corrections, and write down the second moments of all four timelike splitting
functions. In the same manner we re-derive the NNLO result for the Higgs-boson
decay rate into hadrons in the limit of a heavy top quark and five massless
flavours, and confirm the recent N^3LO computation of this quantity.
| hep-ph | we employ relations between spacelike and timelike deepinelastic processes in perturbative qcd to calculate the nexttonexttoleading order nnlo contributions to the timelike quarkquark and gluongluon splitting functions for the evolution of flavoursinglet fragmentation distributions we briefly address the endpoint behaviour and the numerical size of these thirdorder corrections and write down the second moments of all four timelike splitting functions in the same manner we rederive the nnlo result for the higgsboson decay rate into hadrons in the limit of a heavy top quark and five massless flavours and confirm the recent n3lo computation of this quantity | [['we', 'employ', 'relations', 'between', 'spacelike', 'and', 'timelike', 'deepinelastic', 'processes', 'in', 'perturbative', 'qcd', 'to', 'calculate', 'the', 'nexttonexttoleading', 'order', 'nnlo', 'contributions', 'to', 'the', 'timelike', 'quarkquark', 'and', 'gluongluon', 'splitting', 'functions', 'for', 'the', 'evolution', 'of', 'flavoursinglet', 'fragmentation', 'distributions', 'we', 'briefly', 'address', 'the', 'endpoint', 'behaviour', 'and', 'the', 'numerical', 'size', 'of', 'these', 'thirdorder', 'corrections', 'and', 'write', 'down', 'the', 'second', 'moments', 'of', 'all', 'four', 'timelike', 'splitting', 'functions', 'in', 'the', 'same', 'manner', 'we', 'rederive', 'the', 'nnlo', 'result', 'for', 'the', 'higgsboson', 'decay', 'rate', 'into', 'hadrons', 'in', 'the', 'limit', 'of', 'a', 'heavy', 'top', 'quark', 'and', 'five', 'massless', 'flavours', 'and', 'confirm', 'the', 'recent', 'n3lo', 'computation', 'of', 'this', 'quantity']] | [-0.11297612155898061, 0.18903525898559498, -0.11470660613849759, 0.17122307884838125, -0.031065726187080145, -0.02834916312113097, 0.04757116175227866, 0.325988956769093, -0.16214652021521145, -0.1798902182004501, -0.019560548866926163, -0.35276159801587614, 0.004896036397243284, 0.08758736564057697, 0.12056849912299832, 0.1431992509085493, 0.043999689431937855, -0.012057710616590129, -0.10998778617892836, -0.2616738965566817, 0.3989846356784368, -0.0242229392848064, 0.21544670707248537, 0.21228520801655718, 0.04932479543092939, 0.07261123793612513, -0.10352451724543947, -0.125862241453808, -0.13391671723868584, 0.07805602012451776, 0.21482650134124381, 0.028364271151151546, 0.13805523745177947, -0.37744622222464724, -0.08463313700103191, 0.06000312730266722, 0.1936391727643606, 0.15843372021024069, 0.008686321181231346, -0.24558952258006891, 0.06150760567511825, -0.2529359717766956, -0.19765842638756195, -0.15735944128144033, -0.037123918533325195, -0.04439639471490512, -0.3126858285215405, 0.08833475135141965, -0.015033898419057279, -0.008023522410196127, -0.0032907184489436216, -0.18042465007009426, -0.034139016251915046, 0.127696991317243, 0.1734630319760325, 0.07028534484681548, 0.114231715502083, -0.21314569075469447, -0.19666656791280532, 0.39649705805806157, -0.0722594177662443, -0.19667660987686328, 0.08934806693422119, -0.2723900534250994, -0.16504785869769828, 0.11416992377825849, 0.24667441029792903, 0.16385502720608125, -0.2276668397844145, 0.136660775631791, 0.0552569133968851, 0.11431100073548936, 0.14349509031540647, 0.044993066236727206, 0.15897386388123497, 0.11325961879944217, -0.07393826784316412, 0.09117523633596517, -0.04234728893293932, -0.1443705830780655, -0.45926716593430217, -0.1179077588885869, -0.04350694528296014, 0.05082773340904375, -0.15083167972625233, -0.15767080948409654, 0.36691094397029544, 0.12024950917051702, 0.2563418619257888, 0.08801376364990762, 0.3435434341507474, 0.1205368833328338, 0.08081787920643374, 0.11535350102019142, 0.29567098666520153, 0.19494499746210797, 0.11893947044454668, -0.28317505180931435, -0.025832895841209468, 0.15314752838968002] |
709.39 | Nonlinear tunneling in two-dimensional lattices | We present thorough analysis of the nonlinear tunneling of Bose-Einstein
condensates in static and accelerating two-dimensional lattices within the
framework of the mean-field approximation. We deal with nonseparable lattices
considering different initial atomic distributions in the highly symmetric
states. For analytical description of the condensate before instabilities are
developed, we derive several few-mode models, analyzing both essentially
nonlinear and quasi-linear regimes of tunneling. By direct numerical
simulations, we show that two-mode models provide accurate description of the
tunneling when either initially two states are populated or tunneling occurs
between two stable states. Otherwise a two-mode model may give only useful
qualitative hints for understanding tunneling but does not reproduce many
features of the phenomenon. This reflects crucial role of the instabilities
developed due to two-body interactions resulting in non-negligible population
of the higher bands. This effect becomes even more pronounced in the case of
accelerating lattices. In the latter case we show that the direction of the
acceleration is a relevant physical parameter which affects the tunneling by
changing the atomic rates at different symmetric states and by changing the
numbers of bands involved in the atomic transfer.
| cond-mat.other nlin.PS | we present thorough analysis of the nonlinear tunneling of boseeinstein condensates in static and accelerating twodimensional lattices within the framework of the meanfield approximation we deal with nonseparable lattices considering different initial atomic distributions in the highly symmetric states for analytical description of the condensate before instabilities are developed we derive several fewmode models analyzing both essentially nonlinear and quasilinear regimes of tunneling by direct numerical simulations we show that twomode models provide accurate description of the tunneling when either initially two states are populated or tunneling occurs between two stable states otherwise a twomode model may give only useful qualitative hints for understanding tunneling but does not reproduce many features of the phenomenon this reflects crucial role of the instabilities developed due to twobody interactions resulting in nonnegligible population of the higher bands this effect becomes even more pronounced in the case of accelerating lattices in the latter case we show that the direction of the acceleration is a relevant physical parameter which affects the tunneling by changing the atomic rates at different symmetric states and by changing the numbers of bands involved in the atomic transfer | [['we', 'present', 'thorough', 'analysis', 'of', 'the', 'nonlinear', 'tunneling', 'of', 'boseeinstein', 'condensates', 'in', 'static', 'and', 'accelerating', 'twodimensional', 'lattices', 'within', 'the', 'framework', 'of', 'the', 'meanfield', 'approximation', 'we', 'deal', 'with', 'nonseparable', 'lattices', 'considering', 'different', 'initial', 'atomic', 'distributions', 'in', 'the', 'highly', 'symmetric', 'states', 'for', 'analytical', 'description', 'of', 'the', 'condensate', 'before', 'instabilities', 'are', 'developed', 'we', 'derive', 'several', 'fewmode', 'models', 'analyzing', 'both', 'essentially', 'nonlinear', 'and', 'quasilinear', 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709.3901 | Influence of Mn doping on the microstructure and optical property of ZnO | Undoped and Mn doped ZnO samples with different percentage of Mn content (1
mol%, 2 mol% and 3mol%) were synthesized by a simple solvo-thermal method. We
have studied the structural, chemical and optical properties of the samples by
using x-ray diffraction (XRD), scanning electron microscopy (SEM), energy
dispersive x-ray (EDX) analysis, Fourier transform infrared (FTIR) spectroscopy
and UV-VIS spectroscopy. The XRD spectra show that all the samples are
hexagonal wurtzite structures. The lattice parameters calculated for the Mn
doped ZnO from the XRD pattern were found to be slightly larger than those of
the undoped ZnO, which indicates substitution of Mn in ZnO lattice. SEM
photograph shows the grain size of undoped ZnO is bigger than the Mn doped ZnO
indicating hindrance of grain growth upon Mn doping. As the Mn doping increases
the optical band gap decreases for the range of Mn doping reported here.
| cond-mat.mtrl-sci | undoped and mn doped zno samples with different percentage of mn content 1 mol 2 mol and 3mol were synthesized by a simple solvothermal method we have studied the structural chemical and optical properties of the samples by using xray diffraction xrd scanning electron microscopy sem energy dispersive xray edx analysis fourier transform infrared ftir spectroscopy and uvvis spectroscopy the xrd spectra show that all the samples are hexagonal wurtzite structures the lattice parameters calculated for the mn doped zno from the xrd pattern were found to be slightly larger than those of the undoped zno which indicates substitution of mn in zno lattice sem photograph shows the grain size of undoped zno is bigger than the mn doped zno indicating hindrance of grain growth upon mn doping as the mn doping increases the optical band gap decreases for the range of mn doping reported here | [['undoped', 'and', 'mn', 'doped', 'zno', 'samples', 'with', 'different', 'percentage', 'of', 'mn', 'content', '1', 'mol', '2', 'mol', 'and', '3mol', 'were', 'synthesized', 'by', 'a', 'simple', 'solvothermal', 'method', 'we', 'have', 'studied', 'the', 'structural', 'chemical', 'and', 'optical', 'properties', 'of', 'the', 'samples', 'by', 'using', 'xray', 'diffraction', 'xrd', 'scanning', 'electron', 'microscopy', 'sem', 'energy', 'dispersive', 'xray', 'edx', 'analysis', 'fourier', 'transform', 'infrared', 'ftir', 'spectroscopy', 'and', 'uvvis', 'spectroscopy', 'the', 'xrd', 'spectra', 'show', 'that', 'all', 'the', 'samples', 'are', 'hexagonal', 'wurtzite', 'structures', 'the', 'lattice', 'parameters', 'calculated', 'for', 'the', 'mn', 'doped', 'zno', 'from', 'the', 'xrd', 'pattern', 'were', 'found', 'to', 'be', 'slightly', 'larger', 'than', 'those', 'of', 'the', 'undoped', 'zno', 'which', 'indicates', 'substitution', 'of', 'mn', 'in', 'zno', 'lattice', 'sem', 'photograph', 'shows', 'the', 'grain', 'size', 'of', 'undoped', 'zno', 'is', 'bigger', 'than', 'the', 'mn', 'doped', 'zno', 'indicating', 'hindrance', 'of', 'grain', 'growth', 'upon', 'mn', 'doping', 'as', 'the', 'mn', 'doping', 'increases', 'the', 'optical', 'band', 'gap', 'decreases', 'for', 'the', 'range', 'of', 'mn', 'doping', 'reported', 'here']] | [-0.0210794644333936, 0.1780952014904148, 0.0038484913040080977, -0.014596438326808656, 0.0583732710348378, -0.161155046548309, 0.1282832565263781, 0.5302898437266463, -0.2528940774114995, -0.3251101002225588, -0.030581051543965166, -0.4660078557722014, -0.06998655018236102, 0.16021124863322697, 0.05231894648730241, 0.04385730093425332, -0.04694907461806875, -0.14133283187924275, -0.1498522743887814, -0.2911436805051976, 0.22987664630154855, 0.08636849979902136, 0.35479877048718006, 0.05503952391124491, -0.05266948698152756, 0.0669451646715531, 0.10146954830671692, 0.03284202719685333, -0.16663618311953354, 0.07289675189952911, 0.2686135953388594, -0.10921970988174194, 0.1409379324450254, -0.4372819268112553, -0.27255303630412653, -0.09918856692082922, 0.15468739089877184, 0.07173138722247477, -0.15350863077388754, -0.2110890579490184, 0.1341622741957163, -0.012328997755358959, -0.060713475123690124, -0.036095051206086345, -0.05651682841366735, 0.031552433144253, -0.224800906259695, 0.10399448129765947, 0.031112546454472787, 0.16181015885788305, -0.22111790808046172, -0.21455690591628182, -0.1583510975642451, 0.013043939324441077, 0.01578555676026334, 0.025595322321971942, 0.24309783559934847, 0.0211232107791022, -0.05947538501872071, 0.3588970726677056, 0.014301444187655981, 0.03640542139524016, 0.11536670393984894, -0.26325408058433697, -0.06410475320789656, 0.25384093724383877, 0.009794675362906579, 0.16171216193971963, -0.14781762454779176, 0.09861367863988311, -0.031229698144156357, 0.3339995807919908, 0.17456964270115413, 0.09931524705768018, 0.13350912379943927, 0.20193326337230874, -0.017005283846359315, 0.12791159355868426, -0.18135084055348075, 0.12577918534456142, -0.05538470689849607, -0.2324652523251957, -0.24563916771560265, 0.11235076679189786, -0.1498217675909661, -0.18204413899059954, 0.3307180679563818, 0.036566217937346164, 0.1379025336194398, -0.09730684919652112, 0.20510400545157106, 0.06328896822985904, 0.07978737925275646, -0.06022067183692908, 0.19828504875687689, 0.17887884919884903, 0.18126728847173268, -0.33980930390093345, 0.1138935901385186, -0.003084263575648696] |
709.3902 | Optical Stern Gerlach Effect beyond the rotating wave approximation | We show that the inclusion of counter rotating terms, usually dropped, in the
interaction Hamiltonian of the electric dipole of a two level atom with an
electromagnetic field leads to significant modification of the splitting of an
atomic beam known as Optical Stern Gerlach Effect which now acquires a fine
structure.
| physics.atom-ph physics.optics | we show that the inclusion of counter rotating terms usually dropped in the interaction hamiltonian of the electric dipole of a two level atom with an electromagnetic field leads to significant modification of the splitting of an atomic beam known as optical stern gerlach effect which now acquires a fine structure | [['we', 'show', 'that', 'the', 'inclusion', 'of', 'counter', 'rotating', 'terms', 'usually', 'dropped', 'in', 'the', 'interaction', 'hamiltonian', 'of', 'the', 'electric', 'dipole', 'of', 'a', 'two', 'level', 'atom', 'with', 'an', 'electromagnetic', 'field', 'leads', 'to', 'significant', 'modification', 'of', 'the', 'splitting', 'of', 'an', 'atomic', 'beam', 'known', 'as', 'optical', 'stern', 'gerlach', 'effect', 'which', 'now', 'acquires', 'a', 'fine', 'structure']] | [-0.16992218872787906, 0.1639831492765213, -0.03728505607475253, 0.031706967153677754, -0.0643987885000659, -0.08321917069820213, 0.012581657300995407, 0.3586818960805734, -0.2584364695437983, -0.3412254798207797, -0.018161293669311584, -0.2448765681873934, -0.09194217005050649, 0.15342862195536203, 0.0078098124587068374, -0.022543785472710926, 0.03175595925673477, 0.06910459531982448, -0.048200884245007354, -0.15164808220202652, 0.32248264430638623, 0.12380677996678095, 0.249374537820033, 0.08864357614634084, 0.12138528829696131, 0.025430192075231495, 0.05009432100490028, 0.05852908192786808, -0.020490106090922684, 0.10237677851874455, 0.13841944978704823, 0.02209340552251567, 0.23680435915879322, -0.45273926094466566, -0.14984633252663793, 0.03287361175342299, 0.12499156922978513, 0.17994351601730302, -0.0925279248639366, -0.26444623798278033, -0.027685388740079076, -0.1965243990222613, -0.15706516992227704, -0.06376780158675768, 0.010648876942201135, 0.03282442944599133, -0.27563003017498616, -0.00413078580088183, 0.09868295074385755, 0.06327614123366919, -0.07341605450446699, -0.0995429113927279, -0.025080213560631462, 0.08155892275310322, 0.04851981550089869, 0.08246055306403387, 0.1368684993107237, -0.15798098359293505, -0.09533728704806052, 0.4235109102492239, -0.1411068488651996, -0.16999891573818876, 0.11684368021201853, -0.1528611745612294, -0.062313172692323435, 0.17098185765173504, 0.10375022088341854, 0.07415635787023633, -0.12006867424169482, 0.06357433256127086, -0.047651455372425856, 0.21093575054706604, 0.12391813068340223, 0.052947103895027846, 0.196684013759973, 0.1352158742135062, 0.05848775179508854, 0.1596209053863205, -0.11786075647664714, -0.07145639839490839, -0.3005778969941186, -0.13212402998389877, -0.1544477627338732, 0.09762979832970921, -0.041294871311002485, -0.23370520765071406, 0.3842472832686469, 0.09878685621216017, 0.18766916356524269, -0.09454575155213402, 0.3191545969057901, 0.13616514114398218, 0.10060508731825679, -0.003957999294952434, 0.32880628314417076, 0.1515108072655458, 0.06566863563642197, -0.30343129756111725, 0.0005689194498985421, 0.0385535516977018] |
709.3903 | Noncentral convergence of multiple integrals | Fix $\nu>0$, denote by $G(\nu/2)$ a Gamma random variable with parameter
$\nu/2$ and let $n\geq2$ be a fixed even integer. Consider a sequence
$\{F_k\}_{k\geq1}$ of square integrable random variables belonging to the $n$th
Wiener chaos of a given Gaussian process and with variance converging to
$2\nu$. As $k\to\infty$, we prove that $F_k$ converges in distribution to
$2G(\nu/2)-\nu$ if and only if $E(F_k^4)-12E(F_k^3)\to12\nu^2-48\nu$.
| math.PR | fix nu0 denote by gnu2 a gamma random variable with parameter nu2 and let ngeq2 be a fixed even integer consider a sequence f_k_kgeq1 of square integrable random variables belonging to the nth wiener chaos of a given gaussian process and with variance converging to 2nu as ktoinfty we prove that f_k converges in distribution to 2gnu2nu if and only if ef_k412ef_k3to12nu248nu | [['fix', 'nu0', 'denote', 'by', 'gnu2', 'a', 'gamma', 'random', 'variable', 'with', 'parameter', 'nu2', 'and', 'let', 'ngeq2', 'be', 'a', 'fixed', 'even', 'integer', 'consider', 'a', 'sequence', 'f_k_kgeq1', 'of', 'square', 'integrable', 'random', 'variables', 'belonging', 'to', 'the', 'nth', 'wiener', 'chaos', 'of', 'a', 'given', 'gaussian', 'process', 'and', 'with', 'variance', 'converging', 'to', '2nu', 'as', 'ktoinfty', 'we', 'prove', 'that', 'f_k', 'converges', 'in', 'distribution', 'to', '2gnu2nu', 'if', 'and', 'only', 'if', 'ef_k412ef_k3to12nu248nu']] | [-0.15407737585362688, 0.2298227904669555, -0.08937508283696811, -0.0021623806044866294, -0.048073487633293305, -0.24176222436001588, 0.06691204033117613, 0.31751913900069634, -0.3348805454784426, -0.16804221155250382, 0.12101874736354462, -0.2873719063555372, -0.12542565425673244, 0.10872153908913505, -0.052227973448241066, 0.04384331751398036, 0.018201547562433727, 0.1035895298941639, -0.027341792897867232, -0.23596133226689336, 0.29131515073622094, -0.06465704170665865, 0.1267596053256621, -0.0896218755274433, 0.12146084061984358, 0.011134519305979383, 0.018343897889657266, -0.02765150059913767, -0.17514619729464076, -0.01178724374140388, 0.2336828403961684, 0.034039947826511645, 0.3479523391880352, -0.29121851103765695, -0.16648285929113626, 0.26663996189318856, 0.20499056128078494, -0.06667268932957587, 0.05623513273694071, -0.263995465886747, 0.17516636166416494, -0.09586856989310412, -0.20096239482116854, -0.037427789933080303, 0.07354496492088997, 0.10097233870805337, -0.4416239006637499, 0.08103117406175568, 0.0748090136009429, 0.022113505991753834, 0.0038929348329788654, -0.18876840204706993, -0.03415368405845145, 0.07467560078306444, 0.014637919180476557, 0.14499576319940388, 0.057276781913342664, -0.057070826437195826, -0.14041604554071893, 0.3689094818165076, -0.13612150033165155, -0.3036303541398254, 0.0314185653235121, -0.24599667658611876, -0.1597506955330228, 0.12200437625870109, 0.1408628530093822, 0.07499631764046077, -0.03531025688902571, 0.17339841671115397, -0.06390934065787186, 0.18312308778344044, 0.10378548663896348, 0.006415807088066278, 0.13074584558991523, 0.07163475320578136, 0.14397933079403472, 0.17327512275419552, -0.07111384105419033, -0.055235494891631196, -0.3319328927820356, -0.1544023804559276, -0.29888025777221755, 0.2057484798253803, -0.17530488132038516, -0.2342133679073946, 0.3044638828663477, 0.10908194510908477, 0.21762744170324555, 0.15753409250816008, 0.18081103172153234, 0.199275318418774, -0.07062424535477727, 0.12369798884951863, 0.01336876659429279, 0.1888563477249559, -0.032983877262550185, -0.14005590912661162, 0.03491865279923739, 0.10640330691340155] |
709.3904 | An Eshelby model for the highly viscous flow | The shear flow and the dielectric alpha-process in molecular glass formers is
modeled in terms of local structural rearrangements which reverse a strong
local shear. Using Eshelby's solution of the corresponding elasticity theory
problem (J. D. Eshelby, Proc. Roy. Soc. A241, 376 (1957)), one can calculate
the recoverable compliance and estimate the lifetime of the symmetric
double-well potential characterizing such a structural rearrangement. A full
modeling of the shear relaxation spectra requires an additional parametrization
of the barrier density of these structural rearrangements. The dielectric
relaxation spectrum can be described as a folding of these relaxations with the
Debye process.
| cond-mat.dis-nn | the shear flow and the dielectric alphaprocess in molecular glass formers is modeled in terms of local structural rearrangements which reverse a strong local shear using eshelbys solution of the corresponding elasticity theory problem j d eshelby proc roy soc a241 376 1957 one can calculate the recoverable compliance and estimate the lifetime of the symmetric doublewell potential characterizing such a structural rearrangement a full modeling of the shear relaxation spectra requires an additional parametrization of the barrier density of these structural rearrangements the dielectric relaxation spectrum can be described as a folding of these relaxations with the debye process | [['the', 'shear', 'flow', 'and', 'the', 'dielectric', 'alphaprocess', 'in', 'molecular', 'glass', 'formers', 'is', 'modeled', 'in', 'terms', 'of', 'local', 'structural', 'rearrangements', 'which', 'reverse', 'a', 'strong', 'local', 'shear', 'using', 'eshelbys', 'solution', 'of', 'the', 'corresponding', 'elasticity', 'theory', 'problem', 'j', 'd', 'eshelby', 'proc', 'roy', 'soc', 'a241', '376', '1957', 'one', 'can', 'calculate', 'the', 'recoverable', 'compliance', 'and', 'estimate', 'the', 'lifetime', 'of', 'the', 'symmetric', 'doublewell', 'potential', 'characterizing', 'such', 'a', 'structural', 'rearrangement', 'a', 'full', 'modeling', 'of', 'the', 'shear', 'relaxation', 'spectra', 'requires', 'an', 'additional', 'parametrization', 'of', 'the', 'barrier', 'density', 'of', 'these', 'structural', 'rearrangements', 'the', 'dielectric', 'relaxation', 'spectrum', 'can', 'be', 'described', 'as', 'a', 'folding', 'of', 'these', 'relaxations', 'with', 'the', 'debye', 'process']] | [-0.13596403262004106, 0.14217157367951438, -0.09023455756180214, 0.020385226102595393, -0.021200429163685048, -0.09620804366928459, 0.006841616369924988, 0.3152192875630025, -0.37402098165881453, -0.26127646517742315, 0.06317980567491943, -0.23686462843959982, -0.15579659154349373, 0.08507321225573318, 0.028946398615112737, 0.06570282512617232, -0.03579811467389303, -0.03991100972405437, -0.08591753431605269, -0.18076134229671548, 0.19702667354446168, 0.07032613023513495, 0.26377397626926513, 0.09224898541684855, 0.023723343027416955, 0.05783920657980924, 0.010932698189704255, 0.09157446181316944, -0.19895488656163593, 0.12797431558996175, 0.22041218271808266, 0.024838128578708027, 0.24676325627499157, -0.42940160193753363, -0.25344006559397614, 0.04012980957449687, 0.060963991850689805, 0.1200857363615392, 0.02519045610714591, -0.2266592186395869, 0.0225013683037362, -0.157073020916244, -0.12285314094877303, -0.09353079558162, 0.06486740585115522, 0.0747967671715852, -0.2699626608271942, 0.20793134662689586, 0.1018103307131866, 0.08747785109932525, -0.13872477332732142, -0.11789558909250179, -0.054292722960294346, 0.05707376326359056, 0.04550882058913086, 0.030976162334396082, 0.2097414878498048, -0.10757489025068347, -0.07299329692526071, 0.41151259777446586, -0.0442292306718012, -0.13103407943113285, 0.20281418468897242, -0.10316470685424377, -0.07656694058507606, 0.1832678746149847, 0.15184772344814104, 0.08948642043914232, -0.1892402654965267, 0.10064716451700526, -0.0034026032574757032, 0.16218862169295212, 0.12183492488669928, -0.0184722723759184, 0.18516936503595324, 0.17020109515035092, 0.04104210577453628, 0.15397933433467353, -0.08011422499148833, -0.0781184669838033, -0.3078077800684806, -0.13790985718463558, -0.23485554283428373, 0.09700014187973181, -0.134037798178568, -0.19930429952313203, 0.3748483222608238, 0.013452406050731438, 0.1673219078608478, 0.037181812772442674, 0.19586926084740858, 0.12131743957970592, 0.05911849521222816, 0.040728595051350014, 0.26381616863525575, 0.20858725463040173, 0.103622719513798, -0.3097236558061206, 0.09137523172169247, 0.08107364748021344] |
709.3905 | On Voevodsky's algebraic K-theory spectrum BGL | Under a certain normalization assumption we prove that the $\Pro^1$-spectrum
$\mathrm{BGL}$ of Voevodsky which represents algebraic $K$-theory is unique
over $\Spec(\mathbb{Z})$. Following an idea of Voevodsky, we equip the
$\Pro^1$-spectrum $\mathrm{BGL}$ with the structure of a commutative
$\Pro^1$-ring spectrum in the motivic stable homotopy category. Furthermore, we
prove that under a certain normalization assumption this ring structure is
unique over $\Spec(\mathbb{Z})$. For an arbitrary Noetherian scheme $S$ of
finite Krull dimension we pull this structure back to obtain a distinguished
monoidal structure on $\mathrm{BGL}$. This monoidal structure is relevant for
our proof of the motivic Conner-Floyd theorem. It has also been used by Gepner
and Snaith to obtain a motivic version of Snaith's theorem.
| math.AG math.AT | under a certain normalization assumption we prove that the pro1spectrum mathrmbgl of voevodsky which represents algebraic ktheory is unique over specmathbbz following an idea of voevodsky we equip the pro1spectrum mathrmbgl with the structure of a commutative pro1ring spectrum in the motivic stable homotopy category furthermore we prove that under a certain normalization assumption this ring structure is unique over specmathbbz for an arbitrary noetherian scheme s of finite krull dimension we pull this structure back to obtain a distinguished monoidal structure on mathrmbgl this monoidal structure is relevant for our proof of the motivic connerfloyd theorem it has also been used by gepner and snaith to obtain a motivic version of snaiths theorem | [['under', 'a', 'certain', 'normalization', 'assumption', 'we', 'prove', 'that', 'the', 'pro1spectrum', 'mathrmbgl', 'of', 'voevodsky', 'which', 'represents', 'algebraic', 'ktheory', 'is', 'unique', 'over', 'specmathbbz', 'following', 'an', 'idea', 'of', 'voevodsky', 'we', 'equip', 'the', 'pro1spectrum', 'mathrmbgl', 'with', 'the', 'structure', 'of', 'a', 'commutative', 'pro1ring', 'spectrum', 'in', 'the', 'motivic', 'stable', 'homotopy', 'category', 'furthermore', 'we', 'prove', 'that', 'under', 'a', 'certain', 'normalization', 'assumption', 'this', 'ring', 'structure', 'is', 'unique', 'over', 'specmathbbz', 'for', 'an', 'arbitrary', 'noetherian', 'scheme', 's', 'of', 'finite', 'krull', 'dimension', 'we', 'pull', 'this', 'structure', 'back', 'to', 'obtain', 'a', 'distinguished', 'monoidal', 'structure', 'on', 'mathrmbgl', 'this', 'monoidal', 'structure', 'is', 'relevant', 'for', 'our', 'proof', 'of', 'the', 'motivic', 'connerfloyd', 'theorem', 'it', 'has', 'also', 'been', 'used', 'by', 'gepner', 'and', 'snaith', 'to', 'obtain', 'a', 'motivic', 'version', 'of', 'snaiths', 'theorem']] | [-0.18233101528037238, -0.02324977438023255, -0.1959743315337209, 0.09824530154399506, -0.09614470847336962, -0.14938311765037543, -0.011408661336948475, 0.34642189574167803, -0.3943708633567702, -0.15232493694838103, 0.06999314330761565, -0.13393012194963475, -0.12027194197835014, 0.1789573399173851, -0.19998004486331264, -0.06219122540373523, 0.021030672263723234, 0.08679944053208372, -0.04747229103452048, -0.2793313148274162, 0.4226156655061352, 0.015101062939376445, 0.25771931681073684, 0.06575307683696181, 0.106057162631538, 0.029617339238390192, 0.00281022150522551, -0.02016894509260719, -0.15860773698462965, 0.14253083966160612, 0.2984423003461514, 0.07279907436286276, 0.23372646696290825, -0.3432660859019437, -0.10881991786798378, 0.14662126273856507, 0.0883995910670172, 0.052911050746695616, -0.023662923030798567, -0.2981181053763574, 0.21005460184050706, -0.24062910405835053, -0.13919357692839596, -0.10431705869163747, 0.05806968584321104, -0.02305703180598783, -0.2579363106193046, -0.06653761037500566, 0.11327181967092795, 0.12541342856412804, -0.10832537753876668, -0.039336613995056634, -0.04325805629418978, 0.055234025285982, -0.012959574263224059, 0.025225580728671572, 0.0980007785550992, -0.05385002929104811, -0.10696731852619229, 0.3323851553932973, -0.07622042295799868, -0.17736426605801056, 0.09775661925579682, -0.11802734219393618, -0.19956227792175235, 0.13014121708535664, -0.017604750776160007, 0.17290928041948392, -0.011558710708889086, 0.22047562048055214, -0.1907755722509915, 0.1320681324667037, 0.14476464786105328, 0.026896660837034386, 0.11592842284002686, 0.10815659409539925, 0.08686136844099147, 0.13547777968064487, 0.007300324886953374, -0.05322233776285036, -0.3145746604480722, -0.20649245308779246, -0.0928678040682162, 0.21512503140849304, -0.08132020303093816, -0.19309192686131946, 0.4097766069484482, 0.11390441462296892, 0.15608418032292043, 0.15458616019574808, 0.2452608480176947, 0.04229123219281335, 0.07116204726841166, 0.02865841388198975, 0.12626932384991632, 0.2544528803314074, 0.02431657946005732, -0.08600216660531121, 0.00878524604916304, 0.22544298420853173] |
709.3906 | Fast stable direct fitting and smoothness selection for Generalized
Additive Models | Existing computationally efficient methods for penalized likelihood GAM
fitting employ iterative smoothness selection on working linear models (or
working mixed models). Such schemes fail to converge for a non-negligible
proportion of models, with failure being particularly frequent in the presence
of concurvity. If smoothness selection is performed by optimizing `whole model'
criteria these problems disappear, but until now attempts to do this have
employed finite difference based optimization schemes which are computationally
inefficient, and can suffer from false convergence. This paper develops the
first computationally efficient method for direct GAM smoothness selection. It
is highly stable, but by careful structuring achieves a computational
efficiency that leads, in simulations, to lower mean computation times than the
schemes based on working-model smoothness selection. The method also offers a
reliable way of fitting generalized additive mixed models.
| stat.ME stat.CO | existing computationally efficient methods for penalized likelihood gam fitting employ iterative smoothness selection on working linear models or working mixed models such schemes fail to converge for a nonnegligible proportion of models with failure being particularly frequent in the presence of concurvity if smoothness selection is performed by optimizing whole model criteria these problems disappear but until now attempts to do this have employed finite difference based optimization schemes which are computationally inefficient and can suffer from false convergence this paper develops the first computationally efficient method for direct gam smoothness selection it is highly stable but by careful structuring achieves a computational efficiency that leads in simulations to lower mean computation times than the schemes based on workingmodel smoothness selection the method also offers a reliable way of fitting generalized additive mixed models | [['existing', 'computationally', 'efficient', 'methods', 'for', 'penalized', 'likelihood', 'gam', 'fitting', 'employ', 'iterative', 'smoothness', 'selection', 'on', 'working', 'linear', 'models', 'or', 'working', 'mixed', 'models', 'such', 'schemes', 'fail', 'to', 'converge', 'for', 'a', 'nonnegligible', 'proportion', 'of', 'models', 'with', 'failure', 'being', 'particularly', 'frequent', 'in', 'the', 'presence', 'of', 'concurvity', 'if', 'smoothness', 'selection', 'is', 'performed', 'by', 'optimizing', 'whole', 'model', 'criteria', 'these', 'problems', 'disappear', 'but', 'until', 'now', 'attempts', 'to', 'do', 'this', 'have', 'employed', 'finite', 'difference', 'based', 'optimization', 'schemes', 'which', 'are', 'computationally', 'inefficient', 'and', 'can', 'suffer', 'from', 'false', 'convergence', 'this', 'paper', 'develops', 'the', 'first', 'computationally', 'efficient', 'method', 'for', 'direct', 'gam', 'smoothness', 'selection', 'it', 'is', 'highly', 'stable', 'but', 'by', 'careful', 'structuring', 'achieves', 'a', 'computational', 'efficiency', 'that', 'leads', 'in', 'simulations', 'to', 'lower', 'mean', 'computation', 'times', 'than', 'the', 'schemes', 'based', 'on', 'workingmodel', 'smoothness', 'selection', 'the', 'method', 'also', 'offers', 'a', 'reliable', 'way', 'of', 'fitting', 'generalized', 'additive', 'mixed', 'models']] | [-0.05197658495638858, 0.032729142416042814, -0.12049518143370126, 0.10978154005539237, -0.1284074587500513, -0.22658074279421603, 0.08454920184114158, 0.4334067414147836, -0.2538612712470984, -0.29351327444116276, 0.14219448394247924, -0.17133632352378106, -0.12861657103128504, 0.2068538977738089, -0.11127652907298673, 0.09356305890039286, 0.09523947045707962, -0.047981456050889174, -0.10254220694663342, -0.31138382933215436, 0.24442663646804055, 0.10293423988641183, 0.3326015902796026, -0.03267802369064708, 0.08919944791264381, -0.006514180758544667, -0.06443876241180325, 0.03571013712754586, -0.12226032888523178, 0.15146286155901512, 0.26671886330994754, 0.14096805973641688, 0.37847193669189105, -0.4001801798656357, -0.2544415954369911, 0.15532470914133062, 0.17157078690996225, 0.10737081638724318, -0.04981231181988154, -0.17462547474001025, 0.11287194782000204, -0.16209209232086627, -0.060234069429112205, -0.15485705817969353, -0.050912538155292474, 0.009812661093857252, -0.3391571641074155, 0.13939265740632298, 0.032913423681858345, 0.030742103692539262, -0.014750502283938906, -0.16012584851264502, 0.02155450388972619, 0.054163919150596485, 0.050505195993923044, -0.016688764519516775, 0.08948213438447, -0.10434064216326189, -0.1069755722966158, 0.3759295304207075, -0.03643374758735952, -0.2582087879788808, 0.23352735638124586, -0.010437511084036845, -0.14465482132403518, 0.20091391596449257, 0.20144412344124055, 0.17151779105717485, -0.11722249139072091, 0.04990571975014808, 0.03203076621249431, 0.16071303801656928, 0.04503809995455385, 0.014851231572472236, 0.14571497777201745, 0.19622030112165675, 0.12534042486257738, 0.09230522500971954, -0.07938166568055749, -0.09701867302823247, -0.2687651467947007, -0.05956994669660079, -0.15872516109128343, -0.017675644866275517, -0.08250913958677715, -0.19923542399015842, 0.3283905536783012, 0.17669435516070348, 0.1442557421846273, 0.09918495740655062, 0.36804345442038594, 0.14142491922107045, 0.06161317132321556, 0.10164847305383194, 0.22408944794513058, 0.08888152888385141, 0.040728820329549664, -0.18931106424177857, 0.15219408585901625, 0.06704316283293972] |
709.3907 | Continuous Frequency Controllable Nano-electromechanical Systems Based
on Multiwalled Carbon Nanotubes | We demonstrate a class of model nano-electromechanical systems (NEMS) based
on multiwalled carbon nanotubes (MWNTs) which has longer inner cores coaxially
oscillating inside their respective shorter outer shell holders and can operate
at continuously controllable frequencies up to the gigahertz range when fuelled
by AC electric fields. Its additional attributes include much larger
oscillation amplitudes and forces and much lower rates of thermal dissipation
(Q-factor = 10^5) and air damping (Q-factor = 10^4~10^5) than those of
nano-beam based NEMS. A crucial feature of the conceived model NEMS is that
after having tuned the electric field frequency to any prescribed value within
a permitted range, the NEMS will respond quickly (in sub-nanoseconds) at the
same oscillation frequency. These merits, when contrasted with the nano-beam
resonators developed so far, make it a better potential candidate for the
ongoing miniaturization progress from micro- to nano-electromechanical systems.
| cond-mat.mtrl-sci cond-mat.stat-mech | we demonstrate a class of model nanoelectromechanical systems nems based on multiwalled carbon nanotubes mwnts which has longer inner cores coaxially oscillating inside their respective shorter outer shell holders and can operate at continuously controllable frequencies up to the gigahertz range when fuelled by ac electric fields its additional attributes include much larger oscillation amplitudes and forces and much lower rates of thermal dissipation qfactor 105 and air damping qfactor 104105 than those of nanobeam based nems a crucial feature of the conceived model nems is that after having tuned the electric field frequency to any prescribed value within a permitted range the nems will respond quickly in subnanoseconds at the same oscillation frequency these merits when contrasted with the nanobeam resonators developed so far make it a better potential candidate for the ongoing miniaturization progress from micro to nanoelectromechanical systems | [['we', 'demonstrate', 'a', 'class', 'of', 'model', 'nanoelectromechanical', 'systems', 'nems', 'based', 'on', 'multiwalled', 'carbon', 'nanotubes', 'mwnts', 'which', 'has', 'longer', 'inner', 'cores', 'coaxially', 'oscillating', 'inside', 'their', 'respective', 'shorter', 'outer', 'shell', 'holders', 'and', 'can', 'operate', 'at', 'continuously', 'controllable', 'frequencies', 'up', 'to', 'the', 'gigahertz', 'range', 'when', 'fuelled', 'by', 'ac', 'electric', 'fields', 'its', 'additional', 'attributes', 'include', 'much', 'larger', 'oscillation', 'amplitudes', 'and', 'forces', 'and', 'much', 'lower', 'rates', 'of', 'thermal', 'dissipation', 'qfactor', '105', 'and', 'air', 'damping', 'qfactor', '104105', 'than', 'those', 'of', 'nanobeam', 'based', 'nems', 'a', 'crucial', 'feature', 'of', 'the', 'conceived', 'model', 'nems', 'is', 'that', 'after', 'having', 'tuned', 'the', 'electric', 'field', 'frequency', 'to', 'any', 'prescribed', 'value', 'within', 'a', 'permitted', 'range', 'the', 'nems', 'will', 'respond', 'quickly', 'in', 'subnanoseconds', 'at', 'the', 'same', 'oscillation', 'frequency', 'these', 'merits', 'when', 'contrasted', 'with', 'the', 'nanobeam', 'resonators', 'developed', 'so', 'far', 'make', 'it', 'a', 'better', 'potential', 'candidate', 'for', 'the', 'ongoing', 'miniaturization', 'progress', 'from', 'micro', 'to', 'nanoelectromechanical', 'systems']] | [-0.14902487098312017, 0.20986698047713714, 0.01338120780436071, -0.040066318423817505, -0.08910383642419961, -0.17985221211210634, 0.06882334149158592, 0.4238888992009856, -0.2168449263174272, -0.30708095373863237, 0.07627572761212825, -0.24255473484410672, -0.06606054626378818, 0.2855191873518605, -0.014206908578845732, 0.07028082409148692, 0.041417020399466896, -0.01293623791875463, -0.0025559223788717746, -0.15763140697666306, 0.18837953778809424, 0.10406846643990263, 0.3177624694847812, 0.03420043625730149, 0.08279558426885476, -0.08496247668889292, 0.08354068609740559, -0.0058551308300993435, -0.12732294211949508, 0.10184664072482087, 0.25749413043108654, -0.01719673209764222, 0.32257597611437666, -0.48490482718016664, -0.2180250302842217, 0.05668111666145318, 0.1468371815041553, 0.10116201762938938, -0.017640997782012724, -0.27235685020903166, 0.07836806922424452, -0.1975045541502826, -0.14768012791396457, -0.051274290929238, 0.06890044388722906, 0.03078162356970026, -0.2217953755592115, 0.04025584430902773, 0.037154575316928964, 0.057128713591724424, -0.09341379369820423, -0.1316557446996688, -0.0297226960290263, 0.06357930911620682, 0.00129970309142096, -0.009298753566339824, 0.2934521517174728, -0.09754858226333712, -0.06228978741098301, 0.3761734305831425, -0.06927363671156403, -0.12973157121760256, 0.2106224945928003, -0.16651553025218188, -0.02677498077841621, 0.14586281016013247, 0.16829721706899556, 0.07580830729137181, -0.15725412922155885, 0.00018933925493653362, 0.08179853402130993, 0.20945733097210156, 0.14610047193396017, 0.11615972424366475, 0.2922869526008342, 0.22071775314497186, 0.059807352001732546, 0.12676608301360648, -0.06196815446795275, -0.009003658415683617, -0.2071686831785115, -0.0851899804097455, -0.144400616611539, 0.09519488639107423, -0.0758466316458888, -0.14996729567250672, 0.3812549583059042, 0.14982227323220132, 0.13965136277429918, 0.013467672819284893, 0.32360478095604595, 0.1034311386393317, 0.1800561028133074, 0.03239811465956588, 0.3305490023146073, 0.1425511409835692, 0.13335192853135738, -0.24399455226231234, -0.011995731252707963, -0.047642633049742235] |
709.3908 | Spin dynamics with non-abelian Berry gauge fields as a semiclassical
constrained hamiltonian system | The dynamics of observables which are matrices depending on \hbar and taking
values in classical phase space is defined retaining the terms up to the first
order in \hbar of the Moyal bracket. Within this semiclassical approach a first
order lagrangian involving gauge fields is studied as a constrained hamiltonian
system. This provides a systematic study of spin dynamics in the presence of
non-abelian Berry gauge fields. We applied the method to various types of
dynamical spin systems and clarified some persisting discussions. In particular
employing the Berry gauge field which generates the Thomas precession, we
calculated the force exerted on an electron in the external electric and
magnetic fields. Moreover, a simple semiclassical formulation of the spin Hall
effect is accomplished.
| cond-mat.mes-hall hep-th quant-ph | the dynamics of observables which are matrices depending on hbar and taking values in classical phase space is defined retaining the terms up to the first order in hbar of the moyal bracket within this semiclassical approach a first order lagrangian involving gauge fields is studied as a constrained hamiltonian system this provides a systematic study of spin dynamics in the presence of nonabelian berry gauge fields we applied the method to various types of dynamical spin systems and clarified some persisting discussions in particular employing the berry gauge field which generates the thomas precession we calculated the force exerted on an electron in the external electric and magnetic fields moreover a simple semiclassical formulation of the spin hall effect is accomplished | [['the', 'dynamics', 'of', 'observables', 'which', 'are', 'matrices', 'depending', 'on', 'hbar', 'and', 'taking', 'values', 'in', 'classical', 'phase', 'space', 'is', 'defined', 'retaining', 'the', 'terms', 'up', 'to', 'the', 'first', 'order', 'in', 'hbar', 'of', 'the', 'moyal', 'bracket', 'within', 'this', 'semiclassical', 'approach', 'a', 'first', 'order', 'lagrangian', 'involving', 'gauge', 'fields', 'is', 'studied', 'as', 'a', 'constrained', 'hamiltonian', 'system', 'this', 'provides', 'a', 'systematic', 'study', 'of', 'spin', 'dynamics', 'in', 'the', 'presence', 'of', 'nonabelian', 'berry', 'gauge', 'fields', 'we', 'applied', 'the', 'method', 'to', 'various', 'types', 'of', 'dynamical', 'spin', 'systems', 'and', 'clarified', 'some', 'persisting', 'discussions', 'in', 'particular', 'employing', 'the', 'berry', 'gauge', 'field', 'which', 'generates', 'the', 'thomas', 'precession', 'we', 'calculated', 'the', 'force', 'exerted', 'on', 'an', 'electron', 'in', 'the', 'external', 'electric', 'and', 'magnetic', 'fields', 'moreover', 'a', 'simple', 'semiclassical', 'formulation', 'of', 'the', 'spin', 'hall', 'effect', 'is', 'accomplished']] | [-0.22629962099303844, 0.20398166659395459, -0.08370489122529255, 0.04710836101754676, -0.07273269058434201, -0.06378663002730912, -0.0011636046845404828, 0.3232703981921077, -0.24534813858202245, -0.2937857047463844, 0.009199463437906787, -0.21116749565956777, -0.1506248536237256, 0.188827703493174, -0.013588060670700229, 0.014778376724041396, -0.03506624291757824, 0.05736869574547364, -0.12384168365703072, -0.23308241302834548, 0.32374963017760733, 0.02415735676854116, 0.23227258069349116, 0.05497034682823559, 0.1316687326847774, 0.045153755963718914, 0.019729165406134286, 0.042241856871606004, -0.12228190694595917, 0.06484520933819843, 0.16878417350846098, -0.027830838137993315, 0.19956682272041676, -0.4367779550585346, -0.2017069850193306, 0.0448645722716436, 0.10576405701967964, 0.16432352460821573, -0.02018618090727107, -0.3273977225676912, -0.0006621994200299997, -0.17367794360492195, -0.13261920589949844, -0.13921591532645655, 0.006271710795861837, -0.048482480621133306, -0.2573774216379818, 0.08499274156667048, 0.06688727172006677, 0.0845326175607863, -0.07835776184029022, -0.08271549077853407, -0.011839014666009938, 0.08639746004730829, 0.08588224650383545, 0.08738342798925693, 0.15516896300842284, -0.13199270571597288, -0.1521188569203645, 0.42017110150124204, -0.0690077248260333, -0.2351350625213541, 0.10436054565714764, -0.1770351687980602, -0.1184657322830658, 0.10166441052045185, 0.1391752798789654, 0.1420267172020356, -0.1542679661442144, 0.1536688459908292, 0.0009317887550006148, 0.09234135364159392, 0.053454031158223385, 0.041518560900795656, 0.22665048919648664, 0.12366000043617592, 0.032563170051721275, 0.1153146846746629, -0.08531888131220199, -0.17137313223840883, -0.3278083084914528, -0.14817994187937164, -0.20001655442594382, 0.09832027230266725, -0.06573713870232899, -0.1473925303186855, 0.43528170878311895, 0.16880179278420848, 0.15051659446621893, -0.035571336814919946, 0.28260324853396074, 0.17967783093746353, 0.0693677106574483, 0.04171925184668088, 0.24051120975479431, 0.22954211277184916, 0.08013421270355094, -0.2767860172888966, -0.04800292335786536, 0.09931019242455968] |
709.3909 | Bell's inequality: Physics meets Probability | We remind the viewpoint that violation of Bell's inequality might be
interpreted not only as an evidence of the alternative -- either nonlocality or
``death of reality'' (under the assumption the quantum mechanics is
incomplete). Violation of Bell's type inequalities is a well known sufficient
condition of incompatibility of random variables -- impossibility to realize
them on a single probability space. Thus, in fact, we should take into account
an additional interpretation of violation of Bell's inequality -- a few pairs
of random variables (two dimensional vector variables) involved in the EPR-Bohm
experiment are incompatible. They could not be realized on a single Kolmogorov
probability space. Thus one can choose between: a) completeness of quantum
mechanics; b) nonlocality; c) `` death of reality''; d) non-Kolmogorovness. In
any event, violation of Bell's inequality has a variety of possible
interpretations. Hence, it could not be used to derive the unique conclusion on
the relation between quantum and classical models.
| quant-ph | we remind the viewpoint that violation of bells inequality might be interpreted not only as an evidence of the alternative either nonlocality or death of reality under the assumption the quantum mechanics is incomplete violation of bells type inequalities is a well known sufficient condition of incompatibility of random variables impossibility to realize them on a single probability space thus in fact we should take into account an additional interpretation of violation of bells inequality a few pairs of random variables two dimensional vector variables involved in the eprbohm experiment are incompatible they could not be realized on a single kolmogorov probability space thus one can choose between a completeness of quantum mechanics b nonlocality c death of reality d nonkolmogorovness in any event violation of bells inequality has a variety of possible interpretations hence it could not be used to derive the unique conclusion on the relation between quantum and classical models | [['we', 'remind', 'the', 'viewpoint', 'that', 'violation', 'of', 'bells', 'inequality', 'might', 'be', 'interpreted', 'not', 'only', 'as', 'an', 'evidence', 'of', 'the', 'alternative', 'either', 'nonlocality', 'or', 'death', 'of', 'reality', 'under', 'the', 'assumption', 'the', 'quantum', 'mechanics', 'is', 'incomplete', 'violation', 'of', 'bells', 'type', 'inequalities', 'is', 'a', 'well', 'known', 'sufficient', 'condition', 'of', 'incompatibility', 'of', 'random', 'variables', 'impossibility', 'to', 'realize', 'them', 'on', 'a', 'single', 'probability', 'space', 'thus', 'in', 'fact', 'we', 'should', 'take', 'into', 'account', 'an', 'additional', 'interpretation', 'of', 'violation', 'of', 'bells', 'inequality', 'a', 'few', 'pairs', 'of', 'random', 'variables', 'two', 'dimensional', 'vector', 'variables', 'involved', 'in', 'the', 'eprbohm', 'experiment', 'are', 'incompatible', 'they', 'could', 'not', 'be', 'realized', 'on', 'a', 'single', 'kolmogorov', 'probability', 'space', 'thus', 'one', 'can', 'choose', 'between', 'a', 'completeness', 'of', 'quantum', 'mechanics', 'b', 'nonlocality', 'c', 'death', 'of', 'reality', 'd', 'nonkolmogorovness', 'in', 'any', 'event', 'violation', 'of', 'bells', 'inequality', 'has', 'a', 'variety', 'of', 'possible', 'interpretations', 'hence', 'it', 'could', 'not', 'be', 'used', 'to', 'derive', 'the', 'unique', 'conclusion', 'on', 'the', 'relation', 'between', 'quantum', 'and', 'classical', 'models']] | [-0.1319467072794366, 0.13455826230214002, -0.11967254394141871, 0.1435708500234885, -0.10598127053916649, -0.23327415929255046, 0.08740870695975092, 0.29203495078908853, -0.2676433481304949, -0.29191374078733856, 0.07063679746009738, -0.23088794038935376, -0.10513314913526128, 0.17822237506971444, -0.11996824674770917, 0.03980996173629963, 0.04324192915711357, 0.05955951456954471, -0.05279718543474374, -0.24729217074543627, 0.28204605094647167, -0.013524871217573876, 0.2693867705476294, 0.042491055285068094, 0.07398664868844587, 0.028653953029634128, 0.008601863051344659, 0.04892945718940871, -0.0760750692854487, 0.09260794661141737, 0.19684882392282496, 0.2519970309488427, 0.2855520072618341, -0.42768398916434036, -0.20290713987367995, 0.18396671028165573, 0.10222818109273814, 0.11515175651822063, 0.007842348922756226, -0.3494606877318005, -0.013511780217241228, -0.13506475301288995, -0.1584741633653251, -0.07794564172284665, 0.026466485799603725, -0.06914058663681441, -0.27328379805583286, 0.13350024397539742, 0.10009979469522079, 0.04625569889093658, 0.0035130570580257604, -0.05466467782161107, 0.03017544905423777, 0.06673051126063893, 0.02288321848864381, -0.0015594248745127832, 0.09256151410617129, -0.0896510287054173, -0.20202139824677526, 0.38234735343580933, 0.007176562066317773, -0.25269557598345227, 0.1991939413014288, -0.1610510354447696, -0.15898055033880024, 0.04508662132814137, 0.10329126977830444, 0.047440429790298534, -0.15991408850204844, 0.05728853669807352, -0.09691302768286512, 0.17562891439507333, 0.08716203338843984, 0.13338983432371534, 0.2309346092937916, 0.06733174524361304, 0.046475673503747664, 0.08270869977251791, -0.029621715968044086, -0.125816625531145, -0.43624039077096516, -0.23536101487933908, -0.227924088749645, 0.15810699770529527, -0.10338055513168798, -0.11493000179358752, 0.27272721966028557, 0.09964539624029296, 0.15104826453318393, -0.013409271081483442, 0.20320508889610472, 0.1048380179011896, 0.07392167238468378, -0.014677030058711573, 0.28119535539664475, 0.16877817802338135, 0.08042037391767295, -0.14944588923461588, 0.1470925132561402, 0.0403036884689594] |
709.391 | Flavors in an expanding plasma | We consider the effect of an expanding plasma on probe matter by determining
time-dependent D7 embeddings in the holographic dual of an expanding viscous
plasma. We calculate the chiral condensate and meson spectra including
contributions of viscosity. The chiral condensate essentially confirms the
expectation from the static black hole. For the meson spectra we propose a
scheme that is in agreement with the adiabatic approximation. New contributions
arise for the vector mesons at the order of the viscosity terms.
| hep-th | we consider the effect of an expanding plasma on probe matter by determining timedependent d7 embeddings in the holographic dual of an expanding viscous plasma we calculate the chiral condensate and meson spectra including contributions of viscosity the chiral condensate essentially confirms the expectation from the static black hole for the meson spectra we propose a scheme that is in agreement with the adiabatic approximation new contributions arise for the vector mesons at the order of the viscosity terms | [['we', 'consider', 'the', 'effect', 'of', 'an', 'expanding', 'plasma', 'on', 'probe', 'matter', 'by', 'determining', 'timedependent', 'd7', 'embeddings', 'in', 'the', 'holographic', 'dual', 'of', 'an', 'expanding', 'viscous', 'plasma', 'we', 'calculate', 'the', 'chiral', 'condensate', 'and', 'meson', 'spectra', 'including', 'contributions', 'of', 'viscosity', 'the', 'chiral', 'condensate', 'essentially', 'confirms', 'the', 'expectation', 'from', 'the', 'static', 'black', 'hole', 'for', 'the', 'meson', 'spectra', 'we', 'propose', 'a', 'scheme', 'that', 'is', 'in', 'agreement', 'with', 'the', 'adiabatic', 'approximation', 'new', 'contributions', 'arise', 'for', 'the', 'vector', 'mesons', 'at', 'the', 'order', 'of', 'the', 'viscosity', 'terms']] | [-0.1236272639052683, 0.194419006207336, -0.1002636428780948, 0.07294062769800849, -0.015304813185070135, -0.05561255336491556, -0.011239128258032135, 0.2968857497259786, -0.19312255052831967, -0.21276698346379436, -0.004259924778620465, -0.32341285082924215, -0.03796769086200791, 0.10264552012085915, 0.041596792897657504, 0.06311552393945712, -0.023518533588512698, 0.031549897870119616, -0.07155064392917423, -0.18220636316227337, 0.4025680609548441, 0.00046777977502044244, 0.2500893754672401, 0.11873240378697085, 0.07543026937077506, 0.008831990252048531, -0.02917179770626222, 0.031225285858293123, -0.17790194751580224, 0.06218219523412423, 0.17183894499004643, 0.031136455353278712, 0.15521653522914158, -0.41961573783449735, -0.22971642077487858, 0.059331485655312016, 0.16741845983705378, 0.16829655291637866, -0.06140942746166234, -0.2530233441628044, 0.03918928253653023, -0.2099140468230353, -0.16429513706413063, -0.12461273429644164, 0.0065547642828542975, -0.05903723670900622, -0.3135882311801226, 0.12253211232939665, 0.00033522366039172004, -0.018146803408059516, -0.13195578638417058, -0.10496991026934378, 0.0048923934426724535, 0.05136269255234754, 0.11456665273054349, 0.08038716265103556, 0.15502472578465373, -0.21074004718868794, -0.09930342888530297, 0.42460040781128255, -0.14889020469965106, -0.16033373186011105, 0.12272069645644743, -0.15962724850359786, -0.07885831611561059, 0.13335301098413765, 0.1723902999435233, 0.13818171568276785, -0.12160782574947122, 0.11289269679824268, -0.05977209564887836, 0.12997413790619733, 0.07131927493440954, 0.0642463040553421, 0.2831760429175971, 0.13398231857285328, -0.02094140015778285, 0.1711551325419281, -0.06309229536059377, -0.08944417364140854, -0.3511209152226301, -0.1288837378821041, -0.15289565932618665, 0.04353872736432601, -0.1451682518470275, -0.1704877488126483, 0.41096054155045575, 0.09943235598363076, 0.20895057705620043, -0.014501196827409388, 0.3076602034978097, 0.1283260854314777, -0.0002668229037825065, 0.11966385677032455, 0.33819359662364934, 0.18727303174017823, 0.15345617494239366, -0.34584509186694234, -0.05117879093542129, 0.14480716344322772] |
709.3911 | Classical Exchange Algebra of the Superstring on S^5 with the AdS-time | A classical exchange algebra of the superstring on S^5 with the AdS-time is
shown on the light-like plane. To this end we use the geometrical method of
which consistency is guaranteed by the classical Yang-Baxter equation. The
Dirac method does not work, there being constraints which contain first-class
and second-class and one can disentangle with each other keeping the isometry
hardly.
| hep-th | a classical exchange algebra of the superstring on s5 with the adstime is shown on the lightlike plane to this end we use the geometrical method of which consistency is guaranteed by the classical yangbaxter equation the dirac method does not work there being constraints which contain firstclass and secondclass and one can disentangle with each other keeping the isometry hardly | [['a', 'classical', 'exchange', 'algebra', 'of', 'the', 'superstring', 'on', 's5', 'with', 'the', 'adstime', 'is', 'shown', 'on', 'the', 'lightlike', 'plane', 'to', 'this', 'end', 'we', 'use', 'the', 'geometrical', 'method', 'of', 'which', 'consistency', 'is', 'guaranteed', 'by', 'the', 'classical', 'yangbaxter', 'equation', 'the', 'dirac', 'method', 'does', 'not', 'work', 'there', 'being', 'constraints', 'which', 'contain', 'firstclass', 'and', 'secondclass', 'and', 'one', 'can', 'disentangle', 'with', 'each', 'other', 'keeping', 'the', 'isometry', 'hardly']] | [-0.12963994427700526, 0.08323969396296889, -0.08262428324669599, 0.05202524039001825, -0.18848743674655755, -0.17564510500524194, 0.0015015284220377604, 0.3340547644533217, -0.2780029200250283, -0.27268133762603003, 0.10393724445796883, -0.2847630106844008, -0.1273422834579833, 0.14611933037328223, -0.07299263250218549, 0.01983137202138702, 0.056936893790649874, 0.11926246220245958, -0.11971354116297638, -0.2712876346738388, 0.34831544011831284, 0.0035312032559886575, 0.2767220698607465, 0.015555147353249291, 0.13814264761167577, 0.03942292280262336, 0.013821229842142202, 0.0035092438493544856, -0.07288591434868673, 0.13222401315967242, 0.17883577399576703, 0.13231827445949118, 0.16614210652326922, -0.42409158293157817, -0.1620101940197249, 0.1137679649827381, 0.1791485134512186, 0.11277565441948051, 0.012063787345929692, -0.29238597104946773, 0.05920205311849713, -0.14079619850963354, -0.11043764505690584, -0.06137144435197115, -0.04015094445397457, -0.048828234616667035, -0.1919162782918041, 0.037843063729815184, 0.060715706025560694, -0.021706286367649832, -0.054809507397779574, -0.05865891107047597, -0.09731787107884884, 0.07471438502737632, 0.07356565950904041, 0.08863086137765398, 0.08649652178864926, -0.09606863478741919, -0.11259359281199674, 0.4306924493362506, -0.006467352962742249, -0.2893345442910989, 0.18506274721973265, -0.15004165805876254, -0.2015842523581038, 0.07564583173952996, 0.045113450443993015, 0.09407098678251108, -0.18898683791048826, 0.18805424049302624, -0.027870176216432205, 0.16111518028386249, 0.068356788251549, 0.03559542195871472, 0.2189720698321859, 0.08630434790005287, 0.0802516887895763, 0.10904667120679126, -0.015433697549936672, -0.10564079047568763, -0.37361956673363844, -0.13418132700026036, -0.1358895689190831, 0.09229509486297806, -0.09301343583453368, -0.1835499029485315, 0.3752681215914587, 0.1585446336287229, 0.14720574462165434, 0.03593629845806087, 0.29276759512722494, 0.15873734390673538, 0.12469176264906613, 0.08131828191690146, 0.2562036619832118, 0.1312759850989096, 0.06638247024578353, -0.22318429874721915, 0.015249656482289235, 0.13429683254798874] |
709.3912 | Scattering of Long Folded Strings and Mixed Correlators in the
Two-Matrix Model | We study the interactions of Maldacena's long folded strings in
two-dimensional string theory. We find the amplitude for a state containing two
long folded strings to come and go back to infinity. We calculate this
amplitude both in the worldsheet theory and in the dual matrix model, the
Matrix Quantum Mechanics. The matrix model description allows to evaluate the
amplitudes involving any number of long strings, which are given by the mixed
trace correlators in an effective two-matrix model.
| hep-th | we study the interactions of maldacenas long folded strings in twodimensional string theory we find the amplitude for a state containing two long folded strings to come and go back to infinity we calculate this amplitude both in the worldsheet theory and in the dual matrix model the matrix quantum mechanics the matrix model description allows to evaluate the amplitudes involving any number of long strings which are given by the mixed trace correlators in an effective twomatrix model | [['we', 'study', 'the', 'interactions', 'of', 'maldacenas', 'long', 'folded', 'strings', 'in', 'twodimensional', 'string', 'theory', 'we', 'find', 'the', 'amplitude', 'for', 'a', 'state', 'containing', 'two', 'long', 'folded', 'strings', 'to', 'come', 'and', 'go', 'back', 'to', 'infinity', 'we', 'calculate', 'this', 'amplitude', 'both', 'in', 'the', 'worldsheet', 'theory', 'and', 'in', 'the', 'dual', 'matrix', 'model', 'the', 'matrix', 'quantum', 'mechanics', 'the', 'matrix', 'model', 'description', 'allows', 'to', 'evaluate', 'the', 'amplitudes', 'involving', 'any', 'number', 'of', 'long', 'strings', 'which', 'are', 'given', 'by', 'the', 'mixed', 'trace', 'correlators', 'in', 'an', 'effective', 'twomatrix', 'model']] | [-0.14434153128038102, 0.18269673042471632, -0.09230350663287187, 0.13936797773931175, -0.013360543674612535, -0.12905741085687392, 0.004399061208897376, 0.31215048586077326, -0.2872520306595613, -0.2366009107496165, 0.0671699085343582, -0.28217988060746796, -0.17352993481002654, 0.09400938407965947, -0.0018977815450369557, 0.05988824679928867, 0.03566377820989376, 0.09707856825641298, -0.10979324680623374, -0.2140018618960358, 0.25937345991783506, 0.01786713917957784, 0.2869475921498069, 0.03550197342057017, 0.06760776069831645, 0.07596076052352975, -0.03493941370751473, -0.008192581448798315, -0.11394088435918093, 0.097406583457973, 0.21541518920773192, 0.09832109101823991, 0.1366443946438877, -0.5412676763496821, -0.2159000345847652, 0.10713705312625706, 0.1407814181197576, 0.21458855553536052, 0.06223344628380824, -0.24605202045338817, 0.059213243035858946, -0.17194669958663797, -0.15819013168846693, -0.06074079688155104, 0.03644738610409483, -0.05556962655892572, -0.21590136365870696, 0.03422180249590038, 0.001859675046598798, -0.034307610043147696, -0.03928802723044388, -0.08595471744295917, 0.04900219100763243, 0.14922974398949101, 0.08743263799490855, 0.056097409696777976, 0.04763802625474673, -0.17001415998297317, -0.1093088713227005, 0.32240678555968727, -0.11608942338159378, -0.23373111464743374, 0.1276778151175078, -0.12312265562742383, -0.1308668110272081, 0.09810452723191886, 0.14509617082208773, 0.11570292819715754, -0.1506053722946893, 0.17157039667414856, -0.025746494944242738, 0.16385851321812672, 0.0951357508561562, 0.039879583211356325, 0.26573011748304093, 0.11453192066872799, -0.04920227669438795, 0.18381727824011182, -0.06204421474610137, -0.1808111863800242, -0.3452145635044273, -0.11464366789529973, -0.1551987514595348, 0.10126518816510334, -0.11239249835084074, -0.25267195649138546, 0.39153584286193305, 0.12106015460117708, 0.23698341491620376, 0.09305405072260742, 0.20946991879823088, 0.09777891227999065, 0.05482010048212884, 0.04346788901234446, 0.20436803960754193, 0.19015043209173535, 0.05015755058089389, -0.23678184144900333, -0.062064523826341464, 0.157331944384341] |
709.3913 | Forward-Backward rapidity correlations at all rapidities | We discuss forward-bacward rapidity correlations in the general situation of
asymmetrical collisions, asymmetric rapidity windows, higher rapidities and
higher energy. We give predictions for RHIC and LHC.
| hep-ph | we discuss forwardbacward rapidity correlations in the general situation of asymmetrical collisions asymmetric rapidity windows higher rapidities and higher energy we give predictions for rhic and lhc | [['we', 'discuss', 'forwardbacward', 'rapidity', 'correlations', 'in', 'the', 'general', 'situation', 'of', 'asymmetrical', 'collisions', 'asymmetric', 'rapidity', 'windows', 'higher', 'rapidities', 'and', 'higher', 'energy', 'we', 'give', 'predictions', 'for', 'rhic', 'and', 'lhc']] | [-0.09689760172309783, 0.2656771076413301, -0.2390175111269435, 0.31069814843627125, 0.017303782801788587, -0.1858940657514792, -0.11736430514317292, 0.4542560333815905, -0.14684041532186362, -0.23325527767435864, -0.12000009949910097, -0.32494779418294245, 0.1594091502842135, 0.11391572654247284, 0.025299853788545497, 0.07319235841098887, 0.14311453356192663, -0.07714654147051848, -0.10895299173604983, -0.19187075338469675, 0.3057230311499622, 0.13001571753277227, 0.2199919749624454, 0.29677434251285517, 0.03638010436239151, 0.13263479239629725, -0.016667615765562423, 0.01416352498703278, -0.19817938182789546, 0.07497136258238103, 0.36531168623612476, -0.013505389251244755, 0.12862879496354324, -0.38776005113210815, -0.0501409696880728, 0.14112134653931627, 0.13727583963638887, 0.12814613854369292, -0.09005043687872015, -0.23507246661644715, 0.0804705059585663, -0.33251638294985664, -0.19493677395467573, -0.03339868296797459, 0.045381978584023625, 0.021209033206105232, -0.2847942515061452, 0.20044374263558823, -0.019667476415634155, 0.09920488290775281, 0.00662879878655076, -0.2197137983972565, -0.10095534602609965, -0.0661113689152094, 0.08968113319805035, 0.001986010197120217, 0.14576782411537492, -0.17494902946950439, -0.19772472805701768, 0.2884636405998698, 0.05218937634848631, -0.13068983546243265, 0.1804656841290685, -0.30862980178342414, -0.11003858467134145, 0.08731646907444184, 0.330694844874625, 0.08144714622400127, -0.13800440621204102, 0.013280660482660796, 0.032984158740593836, 0.08599812709368192, 0.18603487624428594, 0.1773952746768303, 0.12897195405541703, 0.1740602029559131, 0.05418802204971703, 0.12310084371039501, -0.11944059139260879, -0.16359855925950867, -0.4741933408838052, -0.09264429601339194, 0.03393369490424028, -0.030191562353418425, -0.1399513744343914, 0.025925370792929944, 0.40041065219646466, 0.16515759464639884, 0.3586398787223376, 0.008348479078939328, 0.30342125935623276, 0.13648485204276556, 0.028979571625733606, 0.13149003122145167, 0.2596687634403889, 0.10943976037490827, 0.3539061161259619, -0.17192665559168047, 0.022313017702589814, 0.03784476424782322] |
709.3914 | A Quiver Presentation for Solomon's Descent Algebra | The descent algebra $\Sigma(W)$ is a subalgebra of the group algebra $\Q W$
of a finite Coxeter group $W$, which supports a homomorphism with nilpotent
kernel and commutative image in the character ring of $W$. Thus $\Sigma(W)$ is
a basic algebra, and as such it has a presentation as a quiver with relations.
Here we construct $\Sigma(W)$ as a quotient of a subalgebra of the path algebra
of the Hasse diagram of the Boolean lattice of all subsets of $S$, the set of
simple reflections in $W$. From this construction we obtain some general
information about the quiver of $\Sigma(W)$ and an algorithm for the
construction of a quiver presentation for the descent algebra $\Sigma(W)$ of
any given finite Coxeter group $W$.
| math.RT math.CO | the descent algebra sigmaw is a subalgebra of the group algebra q w of a finite coxeter group w which supports a homomorphism with nilpotent kernel and commutative image in the character ring of w thus sigmaw is a basic algebra and as such it has a presentation as a quiver with relations here we construct sigmaw as a quotient of a subalgebra of the path algebra of the hasse diagram of the boolean lattice of all subsets of s the set of simple reflections in w from this construction we obtain some general information about the quiver of sigmaw and an algorithm for the construction of a quiver presentation for the descent algebra sigmaw of any given finite coxeter group w | [['the', 'descent', 'algebra', 'sigmaw', 'is', 'a', 'subalgebra', 'of', 'the', 'group', 'algebra', 'q', 'w', 'of', 'a', 'finite', 'coxeter', 'group', 'w', 'which', 'supports', 'a', 'homomorphism', 'with', 'nilpotent', 'kernel', 'and', 'commutative', 'image', 'in', 'the', 'character', 'ring', 'of', 'w', 'thus', 'sigmaw', 'is', 'a', 'basic', 'algebra', 'and', 'as', 'such', 'it', 'has', 'a', 'presentation', 'as', 'a', 'quiver', 'with', 'relations', 'here', 'we', 'construct', 'sigmaw', 'as', 'a', 'quotient', 'of', 'a', 'subalgebra', 'of', 'the', 'path', 'algebra', 'of', 'the', 'hasse', 'diagram', 'of', 'the', 'boolean', 'lattice', 'of', 'all', 'subsets', 'of', 's', 'the', 'set', 'of', 'simple', 'reflections', 'in', 'w', 'from', 'this', 'construction', 'we', 'obtain', 'some', 'general', 'information', 'about', 'the', 'quiver', 'of', 'sigmaw', 'and', 'an', 'algorithm', 'for', 'the', 'construction', 'of', 'a', 'quiver', 'presentation', 'for', 'the', 'descent', 'algebra', 'sigmaw', 'of', 'any', 'given', 'finite', 'coxeter', 'group', 'w']] | [-0.15698009407239372, 0.07829131326959259, -0.11431764118129113, 0.013182291475727727, -0.13489665631891884, -0.1551535762808301, 0.02641791202028694, 0.3389247432656464, -0.39220453204861916, -0.20374745023665858, 0.10598173061362849, -0.2332189604792683, -0.09730101016075274, 0.16588686132177588, -0.13617948834311033, -0.05092102601421905, 0.08329356083127319, 0.15592975148045626, -0.13194038720465587, -0.2420509017729124, 0.3703650634766358, -0.01502141135469934, 0.20121856896038792, -0.019836665440320235, 0.15677820376624338, 0.06527432997436186, -0.030900664700073053, -0.0077806575391746935, -0.12486397937611966, 0.106987984217398, 0.2908062297682904, 0.1136199013162099, 0.18666878517442306, -0.2945900651259867, -0.06371329448779388, 0.18184677667182977, 0.16738255354041448, 0.06768678607715897, -0.05015462911764129, -0.24132258067915185, 0.10912836101440498, -0.27723605600834567, -0.11720690554099493, -0.0005505631590017774, 0.13824354493837865, -0.01581661700897041, -0.26935226696573933, -0.033271966868492424, 0.08791324013813598, 0.1577324218681601, -0.019204194298716355, -0.120574017643731, -0.11580352678887362, 0.058527949899740396, -0.09645692559462957, 0.10797810452879544, 0.10252622662677018, -0.1082442471066673, -0.172895161839599, 0.4113824044690147, -0.008093549906215096, -0.2195955194212252, 0.09512993988016101, -0.18347439179425967, -0.16905792654095003, 0.1109646558456245, 0.06210530705017145, 0.11283600173096676, -0.02433826507939423, 0.23250846690584173, -0.18846743772203317, 0.03973237457532497, 0.037484879872654794, 0.01157399037037976, 0.10166817684220121, 0.14023213993880104, 0.032451465611630426, 0.11390925043445753, 0.048679746069075144, 0.051002733418947, -0.42638075162397054, -0.24580142913113318, -0.12373793848931454, 0.13266916330293066, -0.16424081691688205, -0.19992108084261417, 0.4107156199876402, 0.07852559631354496, 0.21469640297830472, 0.09883479848141462, 0.16964733509010957, 0.08402544587908302, 0.12075980227119977, 0.03191894363825683, 0.05491714434985445, 0.2720232472266452, -0.05453734507509431, -0.17438189556906153, -0.05023960684059707, 0.25223102846534035] |
709.3915 | Guessing Facets: Polytope Structure and Improved LP Decoding | In this paper we investigate the structure of the fundamental polytope used
in the Linear Programming decoding introduced by Feldman, Karger and
Wainwright. We begin by showing that for expander codes, every fractional
pseudocodeword always has at least a constant fraction of non-integral bits. We
then prove that for expander codes, the active set of any fractional
pseudocodeword is smaller by a constant fraction than the active set of any
codeword. We further exploit these geometrical properties to devise an improved
decoding algorithm with the same complexity order as LP decoding that provably
performs better, for any blocklength. It proceeds by guessing facets of the
polytope, and then resolving the linear program on these facets. While the LP
decoder succeeds only if the ML codeword has the highest likelihood over all
pseudocodewords, we prove that the proposed algorithm, when applied to suitable
expander codes, succeeds unless there exist a certain number of
pseudocodewords, all adjacent to the ML codeword on the LP decoding polytope,
and with higher likelihood than the ML codeword. We then describe an extended
algorithm, still with polynomial complexity, that succeeds as long as there are
at most polynomially many pseudocodewords above the ML codeword.
| cs.IT math.IT | in this paper we investigate the structure of the fundamental polytope used in the linear programming decoding introduced by feldman karger and wainwright we begin by showing that for expander codes every fractional pseudocodeword always has at least a constant fraction of nonintegral bits we then prove that for expander codes the active set of any fractional pseudocodeword is smaller by a constant fraction than the active set of any codeword we further exploit these geometrical properties to devise an improved decoding algorithm with the same complexity order as lp decoding that provably performs better for any blocklength it proceeds by guessing facets of the polytope and then resolving the linear program on these facets while the lp decoder succeeds only if the ml codeword has the highest likelihood over all pseudocodewords we prove that the proposed algorithm when applied to suitable expander codes succeeds unless there exist a certain number of pseudocodewords all adjacent to the ml codeword on the lp decoding polytope and with higher likelihood than the ml codeword we then describe an extended algorithm still with polynomial complexity that succeeds as long as there are at most polynomially many pseudocodewords above the ml codeword | [['in', 'this', 'paper', 'we', 'investigate', 'the', 'structure', 'of', 'the', 'fundamental', 'polytope', 'used', 'in', 'the', 'linear', 'programming', 'decoding', 'introduced', 'by', 'feldman', 'karger', 'and', 'wainwright', 'we', 'begin', 'by', 'showing', 'that', 'for', 'expander', 'codes', 'every', 'fractional', 'pseudocodeword', 'always', 'has', 'at', 'least', 'a', 'constant', 'fraction', 'of', 'nonintegral', 'bits', 'we', 'then', 'prove', 'that', 'for', 'expander', 'codes', 'the', 'active', 'set', 'of', 'any', 'fractional', 'pseudocodeword', 'is', 'smaller', 'by', 'a', 'constant', 'fraction', 'than', 'the', 'active', 'set', 'of', 'any', 'codeword', 'we', 'further', 'exploit', 'these', 'geometrical', 'properties', 'to', 'devise', 'an', 'improved', 'decoding', 'algorithm', 'with', 'the', 'same', 'complexity', 'order', 'as', 'lp', 'decoding', 'that', 'provably', 'performs', 'better', 'for', 'any', 'blocklength', 'it', 'proceeds', 'by', 'guessing', 'facets', 'of', 'the', 'polytope', 'and', 'then', 'resolving', 'the', 'linear', 'program', 'on', 'these', 'facets', 'while', 'the', 'lp', 'decoder', 'succeeds', 'only', 'if', 'the', 'ml', 'codeword', 'has', 'the', 'highest', 'likelihood', 'over', 'all', 'pseudocodewords', 'we', 'prove', 'that', 'the', 'proposed', 'algorithm', 'when', 'applied', 'to', 'suitable', 'expander', 'codes', 'succeeds', 'unless', 'there', 'exist', 'a', 'certain', 'number', 'of', 'pseudocodewords', 'all', 'adjacent', 'to', 'the', 'ml', 'codeword', 'on', 'the', 'lp', 'decoding', 'polytope', 'and', 'with', 'higher', 'likelihood', 'than', 'the', 'ml', 'codeword', 'we', 'then', 'describe', 'an', 'extended', 'algorithm', 'still', 'with', 'polynomial', 'complexity', 'that', 'succeeds', 'as', 'long', 'as', 'there', 'are', 'at', 'most', 'polynomially', 'many', 'pseudocodewords', 'above', 'the', 'ml', 'codeword']] | [-0.13152669042800413, 0.06036580323298683, -0.062393156336526374, 0.08827413832022094, -0.04985264813847313, -0.25522567818853814, 0.07700702215773006, 0.37702015675416195, -0.343695410619598, -0.27994999079965055, 0.12252043392873754, -0.2426399409658078, -0.1718931483960889, 0.16549435050480746, -0.1159781813715594, 0.11098862095145659, 0.04454773755960467, 0.06611657501027844, -0.11111402491723761, -0.3800612460113968, 0.2725474176354556, 0.10799038333517283, 0.19811028038913553, -0.01821935929139286, 0.12472929936984196, 0.037590227800073345, 0.04871083066723488, 0.018047326305561294, -0.15325425416567026, 0.09654788201530182, 0.30284236756746064, 0.22617560759835847, 0.29577907871083364, -0.37406057456782854, -0.17435948979144802, 0.13031185518084754, 0.15686493007833083, 0.12040820625972831, -0.03374844059087054, 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709.3916 | Hawking Radiation, Effective Actions and Covariant Boundary Conditions | From appropriate expressions for effective actions, the Hawking radiation
from charged black holes is derived, using only covariant boundary conditions
at the event horizon. The connection of our approach with the Unruh vacuum and
the recent analysis \cite{Robwilczek,Isowilczek,shailesh} of Hawking radiation
using anomalies is established.
| hep-th gr-qc | from appropriate expressions for effective actions the hawking radiation from charged black holes is derived using only covariant boundary conditions at the event horizon the connection of our approach with the unruh vacuum and the recent analysis citerobwilczekisowilczekshailesh of hawking radiation using anomalies is established | [['from', 'appropriate', 'expressions', 'for', 'effective', 'actions', 'the', 'hawking', 'radiation', 'from', 'charged', 'black', 'holes', 'is', 'derived', 'using', 'only', 'covariant', 'boundary', 'conditions', 'at', 'the', 'event', 'horizon', 'the', 'connection', 'of', 'our', 'approach', 'with', 'the', 'unruh', 'vacuum', 'and', 'the', 'recent', 'analysis', 'citerobwilczekisowilczekshailesh', 'of', 'hawking', 'radiation', 'using', 'anomalies', 'is', 'established']] | [-0.08962744968117807, 0.1411338708448139, -0.1498431631639092, 0.13524722660870545, -0.07433198188664392, -0.1308915237472816, 0.006120061882856217, 0.30197130122476, -0.1182852815836668, -0.2968125940639187, 0.10671910951549018, -0.34750198996202514, -0.10079051152041013, 0.1940953236242587, -0.05412806517613882, 0.0624369790523567, 0.02671724052528258, 0.0873166429810226, -0.09415417892689054, -0.17548244154419412, 0.41751248643479566, 0.16840158906680616, 0.29993775944140827, 0.07002849749882113, 0.1738180510847914, 0.03306825879156928, -0.05335967989892445, 0.05805416451767087, -0.1384260093645108, 0.0550308337921954, 0.18605843127112498, 0.15337854526693595, 0.13173704710789025, -0.41056626400148327, -0.27717753836292436, 0.04259282399222932, 0.06852225612171671, 0.19729208671792134, -0.09468864321454683, -0.34158039842308924, 0.05743677210359072, -0.20349023685875264, -0.08941594830883498, 0.01808223278600384, 0.028707364362410524, -0.12175398132636804, -0.24220363025299527, 0.11079997238266515, 0.012165103361687878, -0.02003671421500092, -0.16800984991079365, -0.037362847424281594, -0.01900872840567238, 0.12330350971950049, 0.16634077315261078, -0.02038057704075155, 0.2419115862470459, -0.06747175457845019, -0.10583585030822591, 0.32925247453915124, -0.09584917077286677, -0.15633935218846257, 0.17959553262070668, -0.2237013894641264, -0.03418885350269689, 0.1719011158936403, 0.0561885253356939, 0.2421947393608703, -0.20813019254075532, 0.14327399000731847, 0.02987504081895829, 0.048286183081059295, 0.13747532199009915, 0.05238565497777679, 0.3563245548866689, 0.05645798000676388, -0.019672729731114072, 0.17154814618300984, -0.003917702214411375, -0.05846886755898595, -0.42002630250697787, -0.12188852627084336, -0.17801182049284267, 0.08376407085928474, -0.15180808318407138, -0.13185197913976895, 0.2728207072412426, 0.16236327827738767, 0.12437547205693343, 0.046639207073233345, 0.31518342839568836, 0.1448688690407752, 0.012059509013356133, 0.09487573063763027, 0.31560195626860316, 0.1386385040400042, 0.1686567821703978, -0.303969360623424, -0.038184086175698954, 0.11162637895904481] |
709.3917 | Groebner bases for spaces of quadrics of codimension 3 | Let $R=\oplus_{i\geq 0} R_i$ be an Artinian standard graded $K$-algebra
defined by quadrics. Assume that $\dim R_2\leq 3$ and that $K$ is algebraically
closed of characteristic $\neq 2$. We show that $R$ is defined by a Gr\"obner
basis of quadrics with, essentially, one exception. The exception is given by
$K[x,y,z]/I$ where $I$ is a complete intersection of 3 quadrics not containing
the square of a linear form.
| math.AC | let roplus_igeq 0 r_i be an artinian standard graded kalgebra defined by quadrics assume that dim r_2leq 3 and that k is algebraically closed of characteristic neq 2 we show that r is defined by a grobner basis of quadrics with essentially one exception the exception is given by kxyzi where i is a complete intersection of 3 quadrics not containing the square of a linear form | [['let', 'roplus_igeq', '0', 'r_i', 'be', 'an', 'artinian', 'standard', 'graded', 'kalgebra', 'defined', 'by', 'quadrics', 'assume', 'that', 'dim', 'r_2leq', '3', 'and', 'that', 'k', 'is', 'algebraically', 'closed', 'of', 'characteristic', 'neq', '2', 'we', 'show', 'that', 'r', 'is', 'defined', 'by', 'a', 'grobner', 'basis', 'of', 'quadrics', 'with', 'essentially', 'one', 'exception', 'the', 'exception', 'is', 'given', 'by', 'kxyzi', 'where', 'i', 'is', 'a', 'complete', 'intersection', 'of', '3', 'quadrics', 'not', 'containing', 'the', 'square', 'of', 'a', 'linear', 'form']] | [-0.21266766953340266, 0.0805388608953308, -0.005178870458621532, -0.004670102229283657, -0.0446259612654103, -0.262703515625617, -0.11317920475266874, 0.32193351857131347, -0.3347257135028485, -0.15123206938733347, 0.0877539815774071, -0.2923372519799159, -0.11471309596890933, 0.15781032359518576, -0.07971164237824269, -0.09097852194099687, 0.009629718009819044, 0.1325314574787626, -0.0749600378658215, -0.34305924727232195, 0.39868915418628603, -0.09234607128018979, 0.11831916968003497, -0.017910605554789072, 0.11720871085708495, 0.035550240936572663, 0.03566074400441721, 0.0791253752722696, -0.15901293948797957, 0.061344764864770696, 0.3315113816643134, 0.16592998104169965, 0.23403249372495338, -0.35287468442402314, -0.08052045792283025, 0.20542115878197365, 0.1946451613912359, -0.05477444324060343, 0.013131078958394937, -0.16904118176171323, 0.18905446883582044, -0.16424735489636078, -0.1791489558017929, -0.030561172825400718, 0.15403151293867268, 0.0026304300408810377, -0.32688899318600306, 0.0021357071673264727, 0.15230504614373785, 0.26091839202854317, -0.010188542109972332, -0.13489297524210997, -0.08571733476128429, -0.02231776754342718, -0.10836334525083657, 0.10566164042393211, 0.08255738091247622, -0.05493778290838236, -0.14494900978752412, 0.3896345203684177, -0.09028087684419006, -0.2441806849819841, 0.0580790722524398, -0.2063315967025119, -0.041525686621753266, 0.1671957850921899, -0.014886640085023828, 0.15360170949134044, -0.040774247114313766, 0.2343477204840383, -0.16611661233764607, 0.12071525811916217, 0.07136428434750997, -0.06833236798047437, 0.15494453646533657, 0.08129441225901246, 0.039836626125179464, 0.07802443443324591, 0.00881776656024158, 0.026637198039679788, -0.4134211400523782, -0.19391295131572406, -0.184138884593267, 0.22308985615768506, -0.1045413487370297, -0.13019599491963163, 0.3687099274357024, 0.04006403298990335, 0.21021705004386604, 0.0883720194833586, 0.24126519361743703, 0.03427630869555287, 0.06181462510721758, 0.13678517713560723, 0.11318165576085448, 0.17335411162275705, -0.1100734236642893, -0.0667342347005615, 0.0008229313680203632, 0.15691345099912724] |
709.3918 | Nonthermal dark matter in mirage mediation | In mirage-mediation models there exists a modulus field whose mass is O(1000)
TeV and its late-decay may significantly change the standard thermal relic
scenario of the dark matter. We study nonthermal production of the dark matter
directly from the modulus decay, and find that for some parameter regions
non-thermally produced neutralinos can become the dark matter.
| hep-ph | in miragemediation models there exists a modulus field whose mass is o1000 tev and its latedecay may significantly change the standard thermal relic scenario of the dark matter we study nonthermal production of the dark matter directly from the modulus decay and find that for some parameter regions nonthermally produced neutralinos can become the dark matter | [['in', 'miragemediation', 'models', 'there', 'exists', 'a', 'modulus', 'field', 'whose', 'mass', 'is', 'o1000', 'tev', 'and', 'its', 'latedecay', 'may', 'significantly', 'change', 'the', 'standard', 'thermal', 'relic', 'scenario', 'of', 'the', 'dark', 'matter', 'we', 'study', 'nonthermal', 'production', 'of', 'the', 'dark', 'matter', 'directly', 'from', 'the', 'modulus', 'decay', 'and', 'find', 'that', 'for', 'some', 'parameter', 'regions', 'nonthermally', 'produced', 'neutralinos', 'can', 'become', 'the', 'dark', 'matter']] | [-0.13212433527223766, 0.28606643885035404, -0.1609810255129229, 0.16514324812768874, -0.08301909339021553, -0.09995334018868479, -0.026997455063445325, 0.3083260123025287, -0.27605184235356073, -0.3617007636549798, 0.0332852831300856, -0.26302447549321434, 0.028942098282277583, 0.1659472288733179, 0.059891505996611985, -0.02481074058979919, 0.022644631090489302, 0.03935975666919893, 0.0051669030831280075, -0.22143812956796452, 0.28899713050235404, 0.036453267390077766, 0.17064679737880148, 0.09034466186792335, 0.020357488434423098, -0.08770295511084523, -0.024685873915653, -0.05760967640883543, -0.1740793680990464, 0.036493612944402475, 0.13545407128225304, 0.11081766757098112, 0.125717674293132, -0.3961890402503989, -0.2505022783001715, 0.33370474205267703, 0.18105482724918562, 0.0504061386835846, -0.14346709032966332, -0.29722325595265087, 0.07797832553359595, -0.23350703341209075, -0.10735369575294582, 0.00459833973172036, -0.025687725137157197, -0.09138178288386288, -0.25615330704233863, 0.18658340759575368, -0.09518233041003854, -0.1320148824248463, -0.07952344500332732, -0.1500776600007984, -0.08674157870594751, -0.07575342724607749, 0.16667989478023215, -0.006215324350209398, 0.3132543438283557, -0.2826447597450831, -0.0670271407474171, 0.4265445783056996, -0.13841087570921942, -0.08916863551024687, 0.19395212615755472, -0.12985800988972188, -0.1591653049584817, 0.17329711548306725, 0.13682325787164948, 0.05339619724757292, -0.12082749982787803, 0.14765322714493695, -0.027979803305457938, 0.2257759347473356, 0.047669054330749944, 0.05773451386273585, 0.3890546164729378, 0.17037543454630807, 0.02446320198306983, 0.061088010922751644, -0.10527879683808847, -0.03890432690439576, -0.36185559755699204, -0.15913888581774452, -0.10746320412409577, -0.008154238186861304, -0.12009240081480874, -0.13007463433949107, 0.35308647050776265, 0.0779853098327294, 0.20583134960721838, 0.009911857223646207, 0.3008426595034755, 0.07720436179502443, 0.030964405948973515, 0.09223097720268097, 0.3930059099003715, 0.14739781613038344, 0.11802721490914171, -0.20622245879759166, 0.017176615904000672, -0.050711189320480285] |
709.3919 | Dynamics of the topological structures in inhomogeneous media | We present a general review of the dynamics of topological solitons in 1 and
2 dimensions and then discuss some recent work on the scattering of various
solitonic objects (such as kinks and breathers etc) on potential obstructions.
| hep-th | we present a general review of the dynamics of topological solitons in 1 and 2 dimensions and then discuss some recent work on the scattering of various solitonic objects such as kinks and breathers etc on potential obstructions | [['we', 'present', 'a', 'general', 'review', 'of', 'the', 'dynamics', 'of', 'topological', 'solitons', 'in', '1', 'and', '2', 'dimensions', 'and', 'then', 'discuss', 'some', 'recent', 'work', 'on', 'the', 'scattering', 'of', 'various', 'solitonic', 'objects', 'such', 'as', 'kinks', 'and', 'breathers', 'etc', 'on', 'potential', 'obstructions']] | [-0.1500836907346782, 0.11814704956486821, -0.05065879595809077, 0.11752603107475136, -0.04750987245260101, -0.08820534903114956, 0.006190262741017106, 0.3605400008198462, -0.201693865409317, -0.2589071935876028, 0.1654687340487726, -0.3091414148036979, -0.258637081047422, 0.1630511511374559, -0.03242609219772643, 0.0603501015391789, -0.0033378395202912784, 0.039079390760315094, -0.038632137884729, -0.23162738755835513, 0.4253759648356783, -0.060803968569655954, 0.19964385716440647, 0.14215291600282254, 0.07036770544456024, 0.012734550222950546, -0.014536051974190693, 0.00602357761052094, -0.2276408207406731, 0.11948078130616953, 0.1750185559748819, 0.06627169317614875, 0.16945313511869722, -0.5044602487040194, -0.261721454977401, 0.060733420921391564, 0.20908751572163678, 0.17939103737865625, -0.10060776650636016, -0.34756719025685207, 0.07726088198097913, -0.13346715200398312, -0.1380509907918933, -0.12933789145838664, 0.09250303686253335, 0.11671843595410648, -0.10664339108227164, 0.03632427006959915, 0.09763753097994547, 0.06639753124603119, -0.10910728657127995, -0.08591550279494473, -0.01118363304321017, 0.0606984673803182, 0.07507462953952582, -0.020171684433559055, 0.06589259600609933, -0.18752120523468443, -0.18489066511392593, 0.4002688812386048, -0.06847228386782502, -0.18223140697534146, 0.25291075716162786, -0.07893904883071388, -0.14256803907061877, 0.04513788278410701, 0.2118318055903441, 0.16006169919120639, -0.039142038746687924, 0.07798341198021692, -0.010262466722020977, 0.09943352900690546, 0.12595897329677092, 0.10567097421766161, 0.2227248441624014, 0.16657842651597762, 0.04312503331732985, 0.13186711572894924, -0.08015386111985304, -0.050418437532100235, -0.3379707791793503, -0.16266745279886222, -0.13407192192971706, 0.048803398238593025, -0.068283755196286, -0.150776409960695, 0.462808671480927, 0.13063581474125385, 0.2416936395885913, 0.029525915577419494, 0.23699070518150142, 0.056944905801700724, -0.02559152333752105, 0.029154410401947405, 0.19254763928428906, 0.10594632069727308, 0.11722292010917475, -0.16746703847801606, -0.11966942489380017, 0.04552286596184498] |
709.392 | Blind Minimax Estimation | We consider the linear regression problem of estimating an unknown,
deterministic parameter vector based on measurements corrupted by colored
Gaussian noise. We present and analyze blind minimax estimators (BMEs), which
consist of a bounded parameter set minimax estimator, whose parameter set is
itself estimated from measurements. Thus, one does not require any prior
assumption or knowledge, and the proposed estimator can be applied to any
linear regression problem. We demonstrate analytically that the BMEs strictly
dominate the least-squares estimator, i.e., they achieve lower mean-squared
error for any value of the parameter vector. Both Stein's estimator and its
positive-part correction can be derived within the blind minimax framework.
Furthermore, our approach can be readily extended to a wider class of
estimation problems than Stein's estimator, which is defined only for white
noise and non-transformed measurements. We show through simulations that the
BMEs generally outperform previous extensions of Stein's technique.
| math.ST stat.ME stat.TH | we consider the linear regression problem of estimating an unknown deterministic parameter vector based on measurements corrupted by colored gaussian noise we present and analyze blind minimax estimators bmes which consist of a bounded parameter set minimax estimator whose parameter set is itself estimated from measurements thus one does not require any prior assumption or knowledge and the proposed estimator can be applied to any linear regression problem we demonstrate analytically that the bmes strictly dominate the leastsquares estimator ie they achieve lower meansquared error for any value of the parameter vector both steins estimator and its positivepart correction can be derived within the blind minimax framework furthermore our approach can be readily extended to a wider class of estimation problems than steins estimator which is defined only for white noise and nontransformed measurements we show through simulations that the bmes generally outperform previous extensions of steins technique | [['we', 'consider', 'the', 'linear', 'regression', 'problem', 'of', 'estimating', 'an', 'unknown', 'deterministic', 'parameter', 'vector', 'based', 'on', 'measurements', 'corrupted', 'by', 'colored', 'gaussian', 'noise', 'we', 'present', 'and', 'analyze', 'blind', 'minimax', 'estimators', 'bmes', 'which', 'consist', 'of', 'a', 'bounded', 'parameter', 'set', 'minimax', 'estimator', 'whose', 'parameter', 'set', 'is', 'itself', 'estimated', 'from', 'measurements', 'thus', 'one', 'does', 'not', 'require', 'any', 'prior', 'assumption', 'or', 'knowledge', 'and', 'the', 'proposed', 'estimator', 'can', 'be', 'applied', 'to', 'any', 'linear', 'regression', 'problem', 'we', 'demonstrate', 'analytically', 'that', 'the', 'bmes', 'strictly', 'dominate', 'the', 'leastsquares', 'estimator', 'ie', 'they', 'achieve', 'lower', 'meansquared', 'error', 'for', 'any', 'value', 'of', 'the', 'parameter', 'vector', 'both', 'steins', 'estimator', 'and', 'its', 'positivepart', 'correction', 'can', 'be', 'derived', 'within', 'the', 'blind', 'minimax', 'framework', 'furthermore', 'our', 'approach', 'can', 'be', 'readily', 'extended', 'to', 'a', 'wider', 'class', 'of', 'estimation', 'problems', 'than', 'steins', 'estimator', 'which', 'is', 'defined', 'only', 'for', 'white', 'noise', 'and', 'nontransformed', 'measurements', 'we', 'show', 'through', 'simulations', 'that', 'the', 'bmes', 'generally', 'outperform', 'previous', 'extensions', 'of', 'steins', 'technique']] | [-0.030660332617711047, 0.03812758041457447, -0.11552004540199731, 0.08626453761964858, -0.09914787533078469, -0.2150194265714967, 0.07081838904604391, 0.37319696157359755, -0.29134464064188503, -0.2758229727267611, 0.17269975219878564, -0.2291389413353778, -0.17706914251467504, 0.21273803957468723, -0.14077037212131607, 0.1064644502820352, 0.06599019744851607, 0.02645383600967613, -0.09920563014322373, -0.29957855862983485, 0.2813755677011954, 0.03387305391382198, 0.2569904615421507, -0.04049825324632582, 0.14131987878267152, 0.04390633974198987, -0.03926336515986291, 0.03300047063800905, -0.14778702253157822, 0.09112292631579956, 0.26419801832981354, 0.14831499921690142, 0.3314832216255417, -0.31718307903169524, -0.2371391544029826, 0.20539600940636632, 0.1475124580747619, 0.09203653970296133, 0.0037713059007196503, -0.3004663577493356, 0.09039022270938521, -0.14652666217488314, -0.05663775346957806, -0.09082087079620585, -0.10960060023769204, -0.008989477351143145, -0.40955801493469246, 0.1256014645958104, 0.09137833140613068, 0.012291951192904035, -0.05284625398023624, -0.18297774917097623, 0.044402441071650506, 0.04451788791699246, 0.006458211059876691, 0.017437125090509653, 0.15902049641194596, -0.06741784185806264, -0.1079939199472163, 0.26419035427400617, -0.11397181034967585, -0.29217314864366256, 0.09913137195897954, -0.133084594192883, -0.09810800428762018, 0.12037356896642722, 0.19540013806248197, 0.13692034325454713, -0.17840817373651427, 0.09210729765148237, -0.06212482084741905, 0.17876458020570377, 0.013651789737814645, 0.019117001152667058, 0.11529333593932037, 0.11520180483443701, 0.1482728240143533, 0.10602121189676961, -0.14052376769274016, -0.06688687333450684, -0.29793057137099255, -0.07681582352624838, -0.2570599426521736, -0.024285318993477842, -0.15276979601254598, -0.19956825412556428, 0.3230669078651537, 0.2015204249222313, 0.16397152593372022, 0.1392991173027248, 0.32184692075298654, 0.14899522854592556, 0.04347056439336466, 0.13135698450995342, 0.25052113213962846, 0.13879823560674429, -0.03643092033643352, -0.16736512115624333, 0.14839817350413523, 0.04357694443439998] |
709.3921 | Geographic Gossip: Efficient Averaging for Sensor Networks | Gossip algorithms for distributed computation are attractive due to their
simplicity, distributed nature, and robustness in noisy and uncertain
environments. However, using standard gossip algorithms can lead to a
significant waste in energy by repeatedly recirculating redundant information.
For realistic sensor network model topologies like grids and random geometric
graphs, the inefficiency of gossip schemes is related to the slow mixing times
of random walks on the communication graph. We propose and analyze an
alternative gossiping scheme that exploits geographic information. By utilizing
geographic routing combined with a simple resampling method, we demonstrate
substantial gains over previously proposed gossip protocols. For regular graphs
such as the ring or grid, our algorithm improves standard gossip by factors of
$n$ and $\sqrt{n}$ respectively. For the more challenging case of random
geometric graphs, our algorithm computes the true average to accuracy
$\epsilon$ using $O(\frac{n^{1.5}}{\sqrt{\log n}} \log \epsilon^{-1})$ radio
transmissions, which yields a $\sqrt{\frac{n}{\log n}}$ factor improvement over
standard gossip algorithms. We illustrate these theoretical results with
experimental comparisons between our algorithm and standard methods as applied
to various classes of random fields.
| cs.IT cs.NI math.IT math.PR | gossip algorithms for distributed computation are attractive due to their simplicity distributed nature and robustness in noisy and uncertain environments however using standard gossip algorithms can lead to a significant waste in energy by repeatedly recirculating redundant information for realistic sensor network model topologies like grids and random geometric graphs the inefficiency of gossip schemes is related to the slow mixing times of random walks on the communication graph we propose and analyze an alternative gossiping scheme that exploits geographic information by utilizing geographic routing combined with a simple resampling method we demonstrate substantial gains over previously proposed gossip protocols for regular graphs such as the ring or grid our algorithm improves standard gossip by factors of n and sqrtn respectively for the more challenging case of random geometric graphs our algorithm computes the true average to accuracy epsilon using ofracn15sqrtlog n log epsilon1 radio transmissions which yields a sqrtfracnlog n factor improvement over standard gossip algorithms we illustrate these theoretical results with experimental comparisons between our algorithm and standard methods as applied to various classes of random fields | [['gossip', 'algorithms', 'for', 'distributed', 'computation', 'are', 'attractive', 'due', 'to', 'their', 'simplicity', 'distributed', 'nature', 'and', 'robustness', 'in', 'noisy', 'and', 'uncertain', 'environments', 'however', 'using', 'standard', 'gossip', 'algorithms', 'can', 'lead', 'to', 'a', 'significant', 'waste', 'in', 'energy', 'by', 'repeatedly', 'recirculating', 'redundant', 'information', 'for', 'realistic', 'sensor', 'network', 'model', 'topologies', 'like', 'grids', 'and', 'random', 'geometric', 'graphs', 'the', 'inefficiency', 'of', 'gossip', 'schemes', 'is', 'related', 'to', 'the', 'slow', 'mixing', 'times', 'of', 'random', 'walks', 'on', 'the', 'communication', 'graph', 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709.3922 | Ambipolar blends of CuPc and C60: charge carrier mobility, electronic
structure and its implications for solar cell applications | Ambipolar transport has been realised in blends of the molecular hole
conductor Cu-phthalocyanine (CuPc) and the electron conducting fullerene C60.
Charge carrier mobilities and the occupied electronic levels have been analyzed
as a function of the mixing ratio using field-effect transistor measurements
and photoelectron spectroscopy. These results are discussed in the context of
photovoltaic cells based on these materials.
| cond-mat.soft | ambipolar transport has been realised in blends of the molecular hole conductor cuphthalocyanine cupc and the electron conducting fullerene c60 charge carrier mobilities and the occupied electronic levels have been analyzed as a function of the mixing ratio using fieldeffect transistor measurements and photoelectron spectroscopy these results are discussed in the context of photovoltaic cells based on these materials | [['ambipolar', 'transport', 'has', 'been', 'realised', 'in', 'blends', 'of', 'the', 'molecular', 'hole', 'conductor', 'cuphthalocyanine', 'cupc', 'and', 'the', 'electron', 'conducting', 'fullerene', 'c60', 'charge', 'carrier', 'mobilities', 'and', 'the', 'occupied', 'electronic', 'levels', 'have', 'been', 'analyzed', 'as', 'a', 'function', 'of', 'the', 'mixing', 'ratio', 'using', 'fieldeffect', 'transistor', 'measurements', 'and', 'photoelectron', 'spectroscopy', 'these', 'results', 'are', 'discussed', 'in', 'the', 'context', 'of', 'photovoltaic', 'cells', 'based', 'on', 'these', 'materials']] | [-0.13645919099257425, 0.13627744001207936, 0.010442574701175607, -0.03286922849506011, 0.07998412450903962, -0.17771521752603867, 0.08419023160541687, 0.45746911599718293, -0.1953154937203588, -0.2869728003018375, -0.025329812771062655, -0.3325592897157988, -0.11867524226645715, 0.2052610109977681, -0.009760804811556792, 0.06730327806596098, -0.018623305886084664, -0.12776135174750253, -0.04319959838778294, -0.17292226748219852, 0.21575338285063103, 0.09095982699815569, 0.3276487736930621, 0.15917156836628144, 0.0908184827160861, -0.05404731670619342, 0.0657804495502456, 0.0563517174330251, -0.16950030237083033, 0.10919734599984027, 0.27704606261024056, -0.11648636338590034, 0.20589182995548794, -0.5360246526783911, -0.264404977784203, -0.09187348451914973, 0.15781239933205832, 0.09932856117214622, -0.14049596436811482, -0.24098283791079603, 0.06537333010406844, -0.19459736607727948, -0.04385402137092475, -0.056915627595775856, 0.003946869361117996, 0.08675434675613611, -0.17302593389718696, 0.089019318287871, -0.06027517615464227, 0.06254160020436192, -0.132209413540389, -0.22930493231477408, -0.10415042231887064, 0.08970626793271894, 0.04660176120875082, -0.0507434945039708, 0.30389748571504804, -0.08643005671910942, -0.14143503354541187, 0.32883304842458716, -0.01775197893108145, -0.15026473986177608, 0.17713536658115556, -0.23776383755792832, -0.03951314277144085, 0.16856903245608354, 0.07855327573508539, 0.17343883515046588, -0.19017719514748274, 0.09466541369931356, -0.05960668822557762, 0.13633548548437077, 0.12034090631641448, 0.15804058785453953, 0.2738930445870963, 0.2356539662638358, -0.03668169962675792, 0.07130668541528927, -0.18821327113305572, 0.001291236892374682, -0.10747367406970468, -0.2427448720574893, -0.23679583589345665, 0.13403072646530023, -0.010025238408757261, -0.18376074137230372, 0.4137734603779069, 0.08516976115261686, 0.10991891491194737, -0.13792082073231196, 0.2706087025460498, 0.1636011224232036, 0.0936649681133186, -0.04308005560446402, 0.24212864143693627, 0.21695967580207848, 0.13446066864958867, -0.289997893096558, 0.12411561837130837, -0.008014845404902408] |
709.3923 | On the star formation rate and turbulent dissipation in galactic models | We suggest a model for star formation function and a model for dissipation of
the turbulent energy of interstellar medium. Star formation function takes into
account the effect of turbulization of the ISM. It is shown that application of
mentioned relations to the hierarchical scenario of formation of galaxies
allows to explain the observed delay of star formation in the Galaxy that
corresponds to the range of stellar ages from 8--9 to 10--12 Gyr.
| astro-ph | we suggest a model for star formation function and a model for dissipation of the turbulent energy of interstellar medium star formation function takes into account the effect of turbulization of the ism it is shown that application of mentioned relations to the hierarchical scenario of formation of galaxies allows to explain the observed delay of star formation in the galaxy that corresponds to the range of stellar ages from 89 to 1012 gyr | [['we', 'suggest', 'a', 'model', 'for', 'star', 'formation', 'function', 'and', 'a', 'model', 'for', 'dissipation', 'of', 'the', 'turbulent', 'energy', 'of', 'interstellar', 'medium', 'star', 'formation', 'function', 'takes', 'into', 'account', 'the', 'effect', 'of', 'turbulization', 'of', 'the', 'ism', 'it', 'is', 'shown', 'that', 'application', 'of', 'mentioned', 'relations', 'to', 'the', 'hierarchical', 'scenario', 'of', 'formation', 'of', 'galaxies', 'allows', 'to', 'explain', 'the', 'observed', 'delay', 'of', 'star', 'formation', 'in', 'the', 'galaxy', 'that', 'corresponds', 'to', 'the', 'range', 'of', 'stellar', 'ages', 'from', '89', 'to', '1012', 'gyr']] | [-0.07934438768063194, 0.09302639134379255, -0.09225763888350008, 0.12097918025274584, -0.08184476166560843, 0.026986440593326413, 0.030789553892572184, 0.37693028781260995, -0.19594058177962498, -0.37341444116287137, -0.02493850834120216, -0.2030936225250165, -0.059283130223283895, 0.17848986794391797, -0.002329508585200922, -0.04022143311748231, 0.035712939385022666, -0.042394897831301834, -0.0021166171047937226, -0.27679853690033024, 0.3282588908096423, 0.06247661099139903, 0.17715377244796301, 0.06203030183835811, 0.10826767778033516, -0.09645762981381267, -0.038646498745357666, -0.06931056001387234, -0.20630712592537748, 0.013348942912007505, 0.18864087236894145, 0.15112450258252588, 0.24069266464259173, -0.40886190352407664, -0.27721859342292754, 0.05621343126168122, 0.19725248475584226, 0.05902975685013508, -0.07464889710064272, -0.22489973552827094, 0.09592378333547606, -0.23320525184877822, -0.1390472870018031, 0.1004975576809532, 0.05614285578800214, 0.016252071672194713, -0.3028695685663135, 0.1736972689993579, 0.0605486970571046, -0.006672756205237395, -0.1771251279616892, -0.02721649535925354, -0.07799850675478778, 0.09122296126332839, 0.0211142068540023, 0.0611988684804355, 0.1838464659254847, -0.1558425775099848, 0.00411829402720606, 0.4674353272830312, -0.05740593690299303, -0.009249790631410843, 0.21079172715041283, -0.21099794249528567, -0.14534646504860674, 0.11644600219300923, 0.18298665884680845, 0.06598713556052865, -0.1501308967157997, -0.021156401726624904, 0.005132782792143927, 0.17041196530634486, 0.013336104202411464, 0.03511225048006619, 0.29289655183832086, 0.19454790973985517, 0.04638810290929836, 0.1289255051854746, -0.14920883650916653, -0.11367156587515932, -0.22497794233463905, -0.1329478878477538, -0.11161704888768695, 0.09239102546062723, -0.13973176779482682, -0.10564198893789088, 0.37511773379142016, 0.14116776024771704, 0.2460318672772799, 0.05008935016765561, 0.25955028709250727, 0.10706553613213268, 0.11654294673919778, 0.07296229352485514, 0.27085946739424727, 0.22801247247922662, 0.06341156564854286, -0.2718209969666409, 0.11592374846490251, 0.021096960477833007] |
709.3924 | The Hubble Constant | I review the current state of determinations of the Hubble constant, which
gives the length scale of the Universe by relating the expansion velocity of
objects to their distance. There are two broad categories of measurements. The
first uses individual astrophysical objects which have some property that
allows their intrinsic luminosity or size to be determined, or allows the
determination of their distance by geometric means. The second category
comprises the use of all-sky cosmic microwave background, or correlations
between large samples of galaxies, to determine information about the geometry
of the Universe and hence the Hubble constant, typically in a combination with
other cosmological parameters. Many, but not all, object-based measurements
give $H_0$ values of around 72-74km/s/Mpc , with typical errors of 2-3km/s/Mpc.
This is in mild discrepancy with CMB-based measurements, in particular those
from the Planck satellite, which give values of 67-68km/s/Mpc and typical
errors of 1-2km/s/Mpc. The size of the remaining systematics indicate that
accuracy rather than precision is the remaining problem in a good determination
of the Hubble constant. Whether a discrepancy exists, and whether new physics
is needed to resolve it, depends on details of the systematics of the
object-based methods, and also on the assumptions about other cosmological
parameters and which datasets are combined in the case of the all-sky methods.
| astro-ph | i review the current state of determinations of the hubble constant which gives the length scale of the universe by relating the expansion velocity of objects to their distance there are two broad categories of measurements the first uses individual astrophysical objects which have some property that allows their intrinsic luminosity or size to be determined or allows the determination of their distance by geometric means the second category comprises the use of allsky cosmic microwave background or correlations between large samples of galaxies to determine information about the geometry of the universe and hence the hubble constant typically in a combination with other cosmological parameters many but not all objectbased measurements give h_0 values of around 7274kmsmpc with typical errors of 23kmsmpc this is in mild discrepancy with cmbbased measurements in particular those from the planck satellite which give values of 6768kmsmpc and typical errors of 12kmsmpc the size of the remaining systematics indicate that accuracy rather than precision is the remaining problem in a good determination of the hubble constant whether a discrepancy exists and whether new physics is needed to resolve it depends on details of the systematics of the objectbased methods and also on the assumptions about other cosmological parameters and which datasets are combined in the case of the allsky methods | [['i', 'review', 'the', 'current', 'state', 'of', 'determinations', 'of', 'the', 'hubble', 'constant', 'which', 'gives', 'the', 'length', 'scale', 'of', 'the', 'universe', 'by', 'relating', 'the', 'expansion', 'velocity', 'of', 'objects', 'to', 'their', 'distance', 'there', 'are', 'two', 'broad', 'categories', 'of', 'measurements', 'the', 'first', 'uses', 'individual', 'astrophysical', 'objects', 'which', 'have', 'some', 'property', 'that', 'allows', 'their', 'intrinsic', 'luminosity', 'or', 'size', 'to', 'be', 'determined', 'or', 'allows', 'the', 'determination', 'of', 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709.3925 | Homotopy nilpotent groups | We study the connection between the Goodwillie tower of the identity and the
lower central series of the loop group on connected spaces. We define the
simplicial theory of homotopy n-nilpotent groups. This notion interpolates
between infinite loop spaces and loop spaces. We prove that the set-valued
algebraic theory obtained by applying $\pi_0$ is the theory of ordinary
n-nilpotent groups and that the Goodwillie tower of a connected space is
determined by a certain homotopy left Kan extension. We prove that n-excisive
functors of the form $\Omega F$ have values in homotopy n-nilpotent groups.
| math.AT | we study the connection between the goodwillie tower of the identity and the lower central series of the loop group on connected spaces we define the simplicial theory of homotopy nnilpotent groups this notion interpolates between infinite loop spaces and loop spaces we prove that the setvalued algebraic theory obtained by applying pi_0 is the theory of ordinary nnilpotent groups and that the goodwillie tower of a connected space is determined by a certain homotopy left kan extension we prove that nexcisive functors of the form omega f have values in homotopy nnilpotent groups | [['we', 'study', 'the', 'connection', 'between', 'the', 'goodwillie', 'tower', 'of', 'the', 'identity', 'and', 'the', 'lower', 'central', 'series', 'of', 'the', 'loop', 'group', 'on', 'connected', 'spaces', 'we', 'define', 'the', 'simplicial', 'theory', 'of', 'homotopy', 'nnilpotent', 'groups', 'this', 'notion', 'interpolates', 'between', 'infinite', 'loop', 'spaces', 'and', 'loop', 'spaces', 'we', 'prove', 'that', 'the', 'setvalued', 'algebraic', 'theory', 'obtained', 'by', 'applying', 'pi_0', 'is', 'the', 'theory', 'of', 'ordinary', 'nnilpotent', 'groups', 'and', 'that', 'the', 'goodwillie', 'tower', 'of', 'a', 'connected', 'space', 'is', 'determined', 'by', 'a', 'certain', 'homotopy', 'left', 'kan', 'extension', 'we', 'prove', 'that', 'nexcisive', 'functors', 'of', 'the', 'form', 'omega', 'f', 'have', 'values', 'in', 'homotopy', 'nnilpotent', 'groups']] | [-0.20964181716950175, 0.12702275866127394, -0.12845404315343562, 0.14069943544776872, -0.07909808284107675, -0.08508627836968988, 0.03629991092268338, 0.34337500892975864, -0.3563407757814894, -0.20651327226152447, 0.0708385051037383, -0.21388859094734838, -0.16608087632785293, 0.15427917043772585, -0.1564752735331298, -0.10029548786669112, 0.004078738814953001, 0.12948685770041923, -0.06753141050316155, -0.22779690422751803, 0.46778077392918155, -0.07531562572384769, 0.212273701817623, 0.013099240119311404, 0.13708375276442855, -0.009150606431463298, -0.04932845999149883, 0.01935499410629223, -0.16603888468586214, 0.19745067344170975, 0.28733697530635177, 0.04576898705055739, 0.23906755826852105, -0.3475009232581137, -0.10618818477985073, 0.17606323592840356, 0.1063786283075968, -0.06614367674758777, 0.005266411518529454, -0.31997144479859385, 0.12413601528238902, -0.20970455085502027, -0.12265383103426467, -0.06611727313832083, 0.01291366055251119, 0.007316152721227325, -0.20441142973945814, -0.04277177048014834, 0.06117062684782642, 0.105226104345886, -0.08866915010668813, -0.04914459279376736, -0.07431182533036917, 0.14788076868577998, -0.002919002153732358, 0.04578340462498129, 0.10342509636378035, -0.06067292254784719, -0.13039549796326838, 0.31543538246819, -0.09696527366387717, -0.1741287363058407, 0.12309234330747673, -0.18718240751904694, -0.21056590690971055, 0.10744252872276813, -0.009218861126004065, 0.15116751790443, -0.009426699485629797, 0.262156981764921, -0.144757025721582, 0.07280844033874095, 0.15138293980085787, -0.014267779564722739, 0.09106372236620952, 0.07335788019972438, 0.096398417483718, 0.17077954710916954, 0.0643394731921441, -0.09083739751169675, -0.36078580845385155, -0.19229179096378465, -0.06161535256839496, 0.08913277319454133, -0.1407572002878643, -0.19728475086579217, 0.34238537254574847, 0.06634737884110593, 0.14222845214324945, 0.1945844033554672, 0.21220384612233636, 0.0797482882428201, 0.05385754168766769, 0.01020960040152707, 0.13147417290453264, 0.2992922896370688, -0.016806377925256147, -0.1331395584039707, -0.06062450803855949, 0.3299799886472682] |
709.3926 | Radiation of photons in process of charge particle volume reflection in
bent single crystal | New type of radiation in crystals is predicted and investigated in computer
simulation. It is shown that process of volume reflection of electrons and
positrons in bent crystals is accomplished with high-power radiation of
photons. Volume reflection radiation has intensity comparable with known
channeling radiation, but it is less sensitive to entrance angle and sign of
charge of a particle. Simulated spectra of radiation power are presented for 10
GeV and 200GeV particles.
| physics.acc-ph | new type of radiation in crystals is predicted and investigated in computer simulation it is shown that process of volume reflection of electrons and positrons in bent crystals is accomplished with highpower radiation of photons volume reflection radiation has intensity comparable with known channeling radiation but it is less sensitive to entrance angle and sign of charge of a particle simulated spectra of radiation power are presented for 10 gev and 200gev particles | [['new', 'type', 'of', 'radiation', 'in', 'crystals', 'is', 'predicted', 'and', 'investigated', 'in', 'computer', 'simulation', 'it', 'is', 'shown', 'that', 'process', 'of', 'volume', 'reflection', 'of', 'electrons', 'and', 'positrons', 'in', 'bent', 'crystals', 'is', 'accomplished', 'with', 'highpower', 'radiation', 'of', 'photons', 'volume', 'reflection', 'radiation', 'has', 'intensity', 'comparable', 'with', 'known', 'channeling', 'radiation', 'but', 'it', 'is', 'less', 'sensitive', 'to', 'entrance', 'angle', 'and', 'sign', 'of', 'charge', 'of', 'a', 'particle', 'simulated', 'spectra', 'of', 'radiation', 'power', 'are', 'presented', 'for', '10', 'gev', 'and', '200gev', 'particles']] | [-0.07256838329908222, 0.24968868603113376, -0.046888631296484434, 0.06994744077455337, -0.033056507907705764, -0.15238984609788206, -0.034900169803646124, 0.43964880694673486, -0.21266685259107448, -0.34722843814692267, 0.0020040997817525512, -0.3349422988009779, 0.006267548130493458, 0.27770327929844313, 0.0019049926737502013, 0.03841486921508427, 0.023671369655185365, -0.023863886470255787, 0.022659426481679897, -0.152142411684745, 0.26677801751544417, 0.17458877005703646, 0.27120986141978876, 0.10976651294335518, 0.11743558652392805, 0.010783770223696754, -0.04440229740121389, 0.01599094720735942, -0.08995861188264975, 0.001366333796783057, 0.21005543951608546, 0.03920912571659643, 0.13622799390059423, -0.4191506155575179, -0.2269285945285571, 0.09284782948208437, 0.1288148039642543, 0.05170358366600863, -0.16698855791585393, -0.2084106646911943, 0.06561923500354568, -0.1661777173851502, -0.14911759956038162, 0.03298424268524124, 0.017412789899549665, 0.021310166238921964, -0.24747574125250724, 0.0781235164222754, -0.003995506048253546, 0.026193938256330686, -0.02737003404404713, -0.08821522984143397, -0.04866002344092584, -0.0027069707260760543, 0.08656353401363036, 0.03340091630306146, 0.22713608651945036, -0.146965238361377, -0.10039112147913404, 0.4382784016915176, 0.03037892355366725, -0.1354405501193992, 0.1641838103469002, -0.25785960638512895, -0.01948542992444071, 0.3028489555398079, 0.14624263432948556, 0.11304515734161824, -0.12966502437444583, 0.0337860895008206, -0.007296291294775597, 0.20143792193944324, 0.13772061044248204, 0.018192663756900863, 0.2124731075345564, 0.16075504086401365, -0.01623174267476552, 0.15420046363070555, -0.12662315865251403, -0.022797068325828198, -0.26450152704109475, -0.16185403258016665, -0.20542191619640343, 0.0650743587637856, -0.023869561509082527, -0.10774205120604115, 0.3471373575037881, 0.08240965553495573, 0.08450438094338121, -0.029047740266135293, 0.31219104573462314, 0.12180236013835832, 0.06263134793190235, 0.04511416267144353, 0.3094312724472368, 0.169312821050519, 0.1420989396331245, -0.19760235774088397, 0.0004789151142874401, -0.050777871219109594] |
709.3927 | Exact relationship between the entanglement entropies of XY and quantum
Ising chains | We consider two prototypical quantum models, the spin-1/2 XY chain and the
quantum Ising chain and study their entanglement entropy, S(l,L), of blocks of
l spins in homogeneous or inhomogeneous systems of length L. By using two
different approaches, free-fermion techniques and perturbational expansion, an
exact relationship between the entropies is revealed. Using this relation we
translate known results between the two models and obtain, among others, the
additive constant of the entropy of the critical homogeneous quantum Ising
chain and the effective central charge of the random XY chain.
| cond-mat.stat-mech quant-ph | we consider two prototypical quantum models the spin12 xy chain and the quantum ising chain and study their entanglement entropy sll of blocks of l spins in homogeneous or inhomogeneous systems of length l by using two different approaches freefermion techniques and perturbational expansion an exact relationship between the entropies is revealed using this relation we translate known results between the two models and obtain among others the additive constant of the entropy of the critical homogeneous quantum ising chain and the effective central charge of the random xy chain | [['we', 'consider', 'two', 'prototypical', 'quantum', 'models', 'the', 'spin12', 'xy', 'chain', 'and', 'the', 'quantum', 'ising', 'chain', 'and', 'study', 'their', 'entanglement', 'entropy', 'sll', 'of', 'blocks', 'of', 'l', 'spins', 'in', 'homogeneous', 'or', 'inhomogeneous', 'systems', 'of', 'length', 'l', 'by', 'using', 'two', 'different', 'approaches', 'freefermion', 'techniques', 'and', 'perturbational', 'expansion', 'an', 'exact', 'relationship', 'between', 'the', 'entropies', 'is', 'revealed', 'using', 'this', 'relation', 'we', 'translate', 'known', 'results', 'between', 'the', 'two', 'models', 'and', 'obtain', 'among', 'others', 'the', 'additive', 'constant', 'of', 'the', 'entropy', 'of', 'the', 'critical', 'homogeneous', 'quantum', 'ising', 'chain', 'and', 'the', 'effective', 'central', 'charge', 'of', 'the', 'random', 'xy', 'chain']] | [-0.18021056494779056, 0.19594357631366519, -0.013756688270303939, 0.0850196425182124, 0.02387552858951191, -0.22339211020411717, 0.03095359183369308, 0.3532041709456179, -0.26876653513560694, -0.2294627057776476, 0.05409927442540518, -0.32430950610174075, -0.09944908986540718, 0.15206060322363757, 0.08647391364599268, 0.0770274910196248, -0.007144612265336844, 0.05868888016945372, -0.12174302145528297, -0.24048055747730865, 0.32081960560220374, -0.014240361477196631, 0.2989565038950079, 0.016497010277170272, 0.09946478732551138, 0.07193970289598736, 0.020511674208359587, 0.02561301979650226, -0.23021393077861932, 0.14313793811015785, 0.20132262657449854, 0.021970920947690806, 0.18392285417454937, -0.412302195880976, -0.19868752292564346, 0.12397411790702285, 0.13194091410065692, 0.15103302190287246, 0.048188502222506535, -0.25786607317212557, 0.021161299529841117, -0.20832545354755388, -0.09854208850301802, -0.043420684327267936, 0.010360522697576218, 0.04487768304792957, -0.22077415486176807, 0.12291216444476352, 0.15401529034392702, 0.09486341824134191, -0.011213766348858675, -0.09601477686729697, -0.006281308519343535, 0.1661154173185221, 0.03157137846703538, 0.009676209434918646, 0.08456533100042078, -0.10681881658060269, -0.18678837282997038, 0.3142371971677575, -0.06347955407367813, -0.1991113994632744, 0.2231126482391523, -0.10154764518891979, -0.1295901754198389, 0.009790747053921222, 0.08642210551641054, 0.09843160899407748, -0.15598339692999919, 0.14577842288223716, -0.006680105905979871, 0.14776132382038568, -0.02608212378496925, 0.024234168966197307, 0.23718468829368552, 0.07716102707587803, 0.03668299757409841, 0.26782620252472245, -0.05846404442563653, -0.22003254014998674, -0.2515013426490542, -0.1869307295561561, -0.24127211407758295, 0.08938522803590684, -0.16331854880085706, -0.18682998686304522, 0.37390505063037077, 0.13692811480598013, 0.20949653973802923, 0.04213797617121599, 0.21386794129179584, 0.11320391206277741, -0.016967164321492114, 0.07673779390234914, 0.15291977300075815, 0.21384003236760488, 0.02722989525645971, -0.2781135603099958, -0.0007961542242103153, 0.13377206777222456] |
709.3928 | On tameness and growth conditions | We study discrete subsets of C^d, relating "tameness" with growth conditions.
| math.CV | we study discrete subsets of cd relating tameness with growth conditions | [['we', 'study', 'discrete', 'subsets', 'of', 'cd', 'relating', 'tameness', 'with', 'growth', 'conditions']] | [-0.13552648438648743, 0.04526902506635948, -0.10588478195396336, 0.01598846031860872, -0.08896033023484051, -0.10343182036145167, 0.0025109634681774132, 0.3682574741119011, -0.28790020739490335, -0.1748411191458052, 0.15421197076582097, -0.20751022682948547, -0.1372802569107576, 0.13204895256256516, -0.16864684511992065, -0.006466138261285695, 0.022607865658673374, -0.022060631213455716, -0.11131699484857646, -0.31196682019667193, 0.4331792657348243, -0.08213913457637484, 0.27989073300903494, -0.013701967217705467, 0.015589610588821497, 0.0010232082144780593, -0.04109435630115596, 0.022033690051598984, -0.37738897888497874, 0.14012454416264186, 0.13634504851969806, 0.17523232000795277, 0.27759484201669693, -0.4615660458803177, -0.17323350770906967, 0.2568483464419842, 0.02655868384648453, 0.0032919807867570357, -0.1025819769975814, -0.22995924136855386, 0.17320091683756222, -0.021723451008173553, -0.16967849636619742, -0.046011324379254474, 0.016988682475957004, 0.1420470066421496, -0.34220490604639053, 0.1082707287913019, 0.07608649303967302, 0.21464076562022621, -0.2135869302702221, -0.03242161649871956, -0.05503828315572305, 0.09401551295410503, 0.09200248139148409, -0.07422819447872991, 0.07789488124068487, -0.007070889865810221, -0.09412325050851161, 0.3335301232608882, -0.010783002119172703, -0.1788163815032352, 0.2709293988617984, -0.22978030568496746, -0.22899288218468428, 0.023060137405991554, 0.13803146745670924, 0.06189303777434609, -0.10318917814980853, 0.16101750409738583, -0.12061122296886011, 0.09395263377915729, 0.21391130941496653, 0.1200481972403147, 0.09307034279812466, 0.16401975940574298, 0.12864528427069838, 0.22492395900189877, 0.048659195731901986, -0.010119739919900894, -0.37995371324094857, -0.14769552267071875, -0.07244903458790346, 0.12118759886784987, -0.14021220887926492, -0.16639957306059924, 0.39360549639571796, -0.0004085631702433933, 0.20810094247148794, 0.09687064224007455, 0.08147879994728348, 0.08692547797479412, 0.0067608471197838135, 0.030393870039419693, -0.03304027020931244, 0.2731053632768718, -0.09186752673915842, -0.23752299933270973, 0.03748192828656598, 0.13660092042251068] |
709.3929 | On Meromorphic Functions which are Brody Curves | We discuss meromorphic functions on the complex plane which are Brody curves
regarded as holomorphic maps to P_1, i.e., which have bounded spherical
derivative.
| math.CV | we discuss meromorphic functions on the complex plane which are brody curves regarded as holomorphic maps to p_1 ie which have bounded spherical derivative | [['we', 'discuss', 'meromorphic', 'functions', 'on', 'the', 'complex', 'plane', 'which', 'are', 'brody', 'curves', 'regarded', 'as', 'holomorphic', 'maps', 'to', 'p_1', 'ie', 'which', 'have', 'bounded', 'spherical', 'derivative']] | [-0.18832413076112667, 0.035789214074611664, -0.07845698601158801, 0.1415542347046236, -0.14488092749767625, -0.11052391538396478, -0.06868300610221922, 0.3840484047929446, -0.2954153019624452, -0.15253827441483736, 0.11116246027328695, -0.264162100191849, -0.20438900458005568, 0.27097917860373855, -0.08740017902406787, 0.08789822728916381, -0.0770805735179844, 0.02879844849424747, -0.10800838299716513, -0.21844205697319316, 0.425264541991055, -0.128555863785247, 0.11305669990057747, 0.02230431934973846, 0.12426507034494232, 0.009575237093182901, 0.01477386757809048, -0.06927678823315848, -0.19146984412024418, 0.11643457063473761, 0.2907727595108251, 0.08712734217988327, 0.15224279610750577, -0.38327059149742126, -0.26608079493356246, 0.2600167191897829, 0.15600230228543902, -0.11530750862827215, 0.058072670998323396, -0.2651191339828074, 0.04568118299357593, -0.054828049459805094, -0.2405669130384922, -0.15376483992440626, 0.03775651976078128, 0.13536078641967228, -0.18678816423440972, 0.03983448011179765, 0.09153156541287899, 0.13214591793560734, -0.034444343589711934, -0.1684263835195452, -0.17639577681741989, 0.03255052179641401, 0.0025495579078172645, 0.17029044907152033, 0.10835528618190438, -0.0028341334545984864, -0.08102841842143486, 0.35093504186564434, -0.06489866149301331, -0.3448453430707256, 0.10582081787288189, -0.2283499150071293, -0.1325670385849662, 0.0937535014857076, 0.20452700714425495, 0.17840162959570685, -0.023471229321633775, 0.13852258395248404, -0.09275230357889086, 0.07316348499928911, 0.2026675720117055, -0.020370639394968748, 0.20118926318051913, -0.027607302802304428, 0.07790927029175994, 0.15316739927220624, -0.037470024884290375, -0.134708334953757, -0.3732242900878191, -0.13523845498760542, -0.12907102772442158, 0.10154497898959865, -0.10431882195795576, -0.2726648172053198, 0.4001858571233849, -0.06556282083814342, 0.2568284342996776, 0.13677140741492622, 0.2081116488746678, 0.20210654000887493, 0.07160183624364436, 0.013400154033054909, 0.16938566998578608, 0.1623039178084582, 0.0009657711683151623, -0.05027214988755683, -0.006310867805344363, 0.17098248876269886] |
709.393 | On supersymmetric $D6$-$\bar D 6$ systems with magnetic fields | We study systems of $D6$ and $\bar D 6$ branes with non zero world-volume
magnetic fields in the weak coupling limit. We find two configurations for
which the conditions for absence of tachyons in the spectra coincide exactly
with those found in the low energy effective theory approach, for the systems
to preserve 1/8 of the supersymmetries of the Type $IIA$ string theory vacuum.
These conditions give rise to a four-parameter family of solutions in each
case. We present further evidence of the stability of these systems by
computing the lowest order interaction amplitude, verifying the no force
condition as well as the supersymmetric character of the spectrum.
| hep-th | we study systems of d6 and bar d 6 branes with non zero worldvolume magnetic fields in the weak coupling limit we find two configurations for which the conditions for absence of tachyons in the spectra coincide exactly with those found in the low energy effective theory approach for the systems to preserve 18 of the supersymmetries of the type iia string theory vacuum these conditions give rise to a fourparameter family of solutions in each case we present further evidence of the stability of these systems by computing the lowest order interaction amplitude verifying the no force condition as well as the supersymmetric character of the spectrum | [['we', 'study', 'systems', 'of', 'd6', 'and', 'bar', 'd', '6', 'branes', 'with', 'non', 'zero', 'worldvolume', 'magnetic', 'fields', 'in', 'the', 'weak', 'coupling', 'limit', 'we', 'find', 'two', 'configurations', 'for', 'which', 'the', 'conditions', 'for', 'absence', 'of', 'tachyons', 'in', 'the', 'spectra', 'coincide', 'exactly', 'with', 'those', 'found', 'in', 'the', 'low', 'energy', 'effective', 'theory', 'approach', 'for', 'the', 'systems', 'to', 'preserve', '18', 'of', 'the', 'supersymmetries', 'of', 'the', 'type', 'iia', 'string', 'theory', 'vacuum', 'these', 'conditions', 'give', 'rise', 'to', 'a', 'fourparameter', 'family', 'of', 'solutions', 'in', 'each', 'case', 'we', 'present', 'further', 'evidence', 'of', 'the', 'stability', 'of', 'these', 'systems', 'by', 'computing', 'the', 'lowest', 'order', 'interaction', 'amplitude', 'verifying', 'the', 'no', 'force', 'condition', 'as', 'well', 'as', 'the', 'supersymmetric', 'character', 'of', 'the', 'spectrum']] | [-0.1896134981178437, 0.12461320235161111, -0.03994242793716559, 0.09957444667816162, -0.0001095692450353117, -0.14033681737621212, 0.010625100268818508, 0.29191334009239517, -0.18527110536686248, -0.3173207426702397, 0.09327530949505874, -0.2703939180527986, -0.1376976101504018, 0.14267097446308644, 0.005618265002138085, 0.025112164607788954, 0.006517658130852161, 0.0740650035613389, -0.0767774649688767, -0.23902538012717506, 0.3514084256021306, -0.004180335758266867, 0.270813204231672, 0.04835166803699125, 0.058837466347203764, -0.020054194448877953, 0.047111635363695246, 0.017858150691069937, -0.1457407985796669, 0.09465771410571135, 0.19200787580781184, 0.0498843062625922, 0.14789021840422517, -0.4359596627247002, -0.18126708133624764, 0.11359219406990127, 0.15025783245262034, 0.16207706536213798, -0.008565333473530633, -0.24548011829998964, 0.09485859155258233, -0.15858076120450817, -0.2134889883670473, -0.08036842718569527, 0.02518677099659625, -0.0035648943718384813, -0.26094106901264574, 0.08709614038229187, 0.06028212347559424, 0.0782168708888262, -0.12606307472257564, -0.09169693262514624, -0.05799822473717439, 0.09570767385109018, 0.10162788083242183, 0.0015177554515604344, 0.07612398031374647, -0.18401214303190094, -0.125939907764809, 0.3618527161301312, -0.100836250281039, -0.19595675685236025, 0.1965481826207704, -0.1509236852871254, -0.15013730703611616, 0.1345155987483277, 0.10263667013754861, 0.14248214582740157, -0.1222631999084519, 0.1465608914513723, 0.011943701076907691, 0.12788704860334596, 0.0902548301792531, 0.10057374481348907, 0.2292201673017526, 0.08259962403422429, 0.07600006151564971, 0.1428349425809251, -0.04409025523259684, -0.08907145992162879, -0.3850972507562902, -0.13078081573756342, -0.09098683713279941, 0.07570934257280358, -0.10027397136164601, -0.1921972808798913, 0.370872317261442, 0.11345394185088852, 0.1856171959079802, 0.04830363429371371, 0.20447987838889714, 0.11912416785964053, 0.05853715767066374, 0.053141818950987525, 0.2816359828467722, 0.16239092156023685, 0.10538373516303384, -0.24452736394272911, -0.08314905125923731, 0.09721972059924155] |
709.3931 | Kernel methods for in silico chemogenomics | Predicting interactions between small molecules and proteins is a crucial
ingredient of the drug discovery process. In particular, accurate predictive
models are increasingly used to preselect potential lead compounds from large
molecule databases, or to screen for side-effects. While classical in silico
approaches focus on predicting interactions with a given specific target, new
chemogenomics approaches adopt cross-target views. Building on recent
developments in the use of kernel methods in bio- and chemoinformatics, we
present a systematic framework to screen the chemical space of small molecules
for interaction with the biological space of proteins. We show that this
framework allows information sharing across the targets, resulting in a
dramatic improvement of ligand prediction accuracy for three important classes
of drug targets: enzymes, GPCR and ion channels.
| q-bio.QM | predicting interactions between small molecules and proteins is a crucial ingredient of the drug discovery process in particular accurate predictive models are increasingly used to preselect potential lead compounds from large molecule databases or to screen for sideeffects while classical in silico approaches focus on predicting interactions with a given specific target new chemogenomics approaches adopt crosstarget views building on recent developments in the use of kernel methods in bio and chemoinformatics we present a systematic framework to screen the chemical space of small molecules for interaction with the biological space of proteins we show that this framework allows information sharing across the targets resulting in a dramatic improvement of ligand prediction accuracy for three important classes of drug targets enzymes gpcr and ion channels | [['predicting', 'interactions', 'between', 'small', 'molecules', 'and', 'proteins', 'is', 'a', 'crucial', 'ingredient', 'of', 'the', 'drug', 'discovery', 'process', 'in', 'particular', 'accurate', 'predictive', 'models', 'are', 'increasingly', 'used', 'to', 'preselect', 'potential', 'lead', 'compounds', 'from', 'large', 'molecule', 'databases', 'or', 'to', 'screen', 'for', 'sideeffects', 'while', 'classical', 'in', 'silico', 'approaches', 'focus', 'on', 'predicting', 'interactions', 'with', 'a', 'given', 'specific', 'target', 'new', 'chemogenomics', 'approaches', 'adopt', 'crosstarget', 'views', 'building', 'on', 'recent', 'developments', 'in', 'the', 'use', 'of', 'kernel', 'methods', 'in', 'bio', 'and', 'chemoinformatics', 'we', 'present', 'a', 'systematic', 'framework', 'to', 'screen', 'the', 'chemical', 'space', 'of', 'small', 'molecules', 'for', 'interaction', 'with', 'the', 'biological', 'space', 'of', 'proteins', 'we', 'show', 'that', 'this', 'framework', 'allows', 'information', 'sharing', 'across', 'the', 'targets', 'resulting', 'in', 'a', 'dramatic', 'improvement', 'of', 'ligand', 'prediction', 'accuracy', 'for', 'three', 'important', 'classes', 'of', 'drug', 'targets', 'enzymes', 'gpcr', 'and', 'ion', 'channels']] | [-0.06661098000533398, 0.06110322170500313, -0.01858385756420302, 0.06646765140127289, -0.039487584272489676, -0.1738246268097071, 0.09558114898297185, 0.39264232406933464, -0.21567792080402856, -0.3226515029767348, 0.008244601250724725, -0.28661871787300053, -0.18345993754431425, 0.1845767227688714, -0.056820959059311255, 0.052784564559377974, 0.10156023167374154, 0.005633534442993903, -0.0077802072065101275, -0.21423298659013404, 0.2888398502292412, 0.07054502844449974, 0.2930398067504528, 0.09889300455219083, 0.1012617105152458, 0.015187225079223994, -0.039983109999147635, -0.025498032360056024, -0.11782093717644579, 0.22215869563120988, 0.3303939619705312, 0.11366548299068405, 0.29699221642447576, -0.4677234785931726, -0.2807386662180145, 0.10208572700409399, 0.13572669155415026, 0.17324585216908506, -0.09216389037840511, -0.26029654807080665, 0.02557188071096466, -0.13547074726046693, -0.0714676939589422, -0.13715689275563964, 0.04022527200680587, 0.05342876686923011, -0.2775545558829289, 0.08112564232320554, 0.0008416145273874845, 0.08640940286850016, -0.09670988160547905, -0.16160590699573438, 0.02771642791377681, 0.19094074640851166, 0.061044714396449574, 0.04290808488956593, 0.2009752757261477, -0.16068415745394304, -0.11071363250319395, 0.4034055324004693, -0.049281687391245915, -0.1954417168951383, 0.233237421943716, -0.06935200557270418, -0.1868947856222099, 0.11606582474233883, 0.2240361534547241, 0.1432745804439389, -0.18502182638528006, 0.020343238415080123, 0.04482114154304708, 0.16696618404207145, 0.02566276176366955, 0.035078877774668074, 0.21293091849093476, 0.2476221073208557, 0.012313602281914603, 0.10976893667916997, -0.09946359662083729, -0.09514009089194118, -0.19940239363331197, -0.18484523884598597, -0.11814476136163238, -0.028534726252884515, -0.07598537470614482, -0.16627679780996854, 0.366182790686106, 0.15455845909180485, 0.17883061005493567, -0.0044597840866528364, 0.2648308782241187, -0.04672330713524828, 0.11770526976362171, -0.005574821190807157, 0.1789688182123486, 0.053381364003965454, 0.08293518690099459, -0.1840383552198839, 0.13584045464203, 0.0029140424843306745] |
709.3932 | Coexisting stochastic and coherence resonance in a mean-field dynamo
model for Earth's magnetic field reversals | Using a spherical symmetric mean field alpha^2-dynamo model for Earth's
magnetic field reversals, we show the coexistence of the noise-induced
phenomena coherence resonance and stochastic resonance. Stochastic resonance
has been recently invoked to explain the 100 kyr periodicity in the
distribution of the residence time between reversals. The comparison of the
resulting residence time distribution with the paleomagnetic one allows for
some estimate of the effective diffusion time of the Earth's core which may be
100 kyr or slightly below rather than 200 kyr as it would result from the
molecular resistivity.
| astro-ph nlin.CD physics.geo-ph | using a spherical symmetric mean field alpha2dynamo model for earths magnetic field reversals we show the coexistence of the noiseinduced phenomena coherence resonance and stochastic resonance stochastic resonance has been recently invoked to explain the 100 kyr periodicity in the distribution of the residence time between reversals the comparison of the resulting residence time distribution with the paleomagnetic one allows for some estimate of the effective diffusion time of the earths core which may be 100 kyr or slightly below rather than 200 kyr as it would result from the molecular resistivity | [['using', 'a', 'spherical', 'symmetric', 'mean', 'field', 'alpha2dynamo', 'model', 'for', 'earths', 'magnetic', 'field', 'reversals', 'we', 'show', 'the', 'coexistence', 'of', 'the', 'noiseinduced', 'phenomena', 'coherence', 'resonance', 'and', 'stochastic', 'resonance', 'stochastic', 'resonance', 'has', 'been', 'recently', 'invoked', 'to', 'explain', 'the', '100', 'kyr', 'periodicity', 'in', 'the', 'distribution', 'of', 'the', 'residence', 'time', 'between', 'reversals', 'the', 'comparison', 'of', 'the', 'resulting', 'residence', 'time', 'distribution', 'with', 'the', 'paleomagnetic', 'one', 'allows', 'for', 'some', 'estimate', 'of', 'the', 'effective', 'diffusion', 'time', 'of', 'the', 'earths', 'core', 'which', 'may', 'be', '100', 'kyr', 'or', 'slightly', 'below', 'rather', 'than', '200', 'kyr', 'as', 'it', 'would', 'result', 'from', 'the', 'molecular', 'resistivity']] | [-0.12877033952036468, 0.20853965905616464, -0.09084530020355368, 0.11347168532918896, -0.06241746999971245, -0.06644613060432122, 0.019541491815091475, 0.34506568537377147, -0.26951032195685676, -0.3557312140777788, 0.08803712225736766, -0.22233738236236208, -0.06913401154135658, 0.19831816568330396, 0.02040329481836955, -0.012339458568021655, 0.02598169534062238, 0.09231273092218148, -0.03794448631410689, -0.16562063698454396, 0.2090011235103821, 0.07704537561284783, 0.22685775706423042, 0.05096606639816183, 0.06718734672050113, -0.06317740250264962, 0.06850581202382708, -0.01890753495061527, -0.11605402800436738, 0.033814756979194026, 0.16436287174355643, 0.06318990893044468, 0.2408688879855301, -0.48388779558160383, -0.24519424198154846, 0.11206982074477508, 0.17445741166580853, 0.09478019123122541, -0.0207548778473764, -0.28374692064750456, 0.05476979336210364, -0.1461179087282685, -0.16360634003522928, 0.004654030095401179, 0.06592922916625747, 0.01674140123245509, -0.25656859141410043, 0.1726954356155424, 0.07792438084320367, 0.15294111103993718, -0.10665701044300753, -0.11924741036035931, 0.025034655882653013, 0.06940162035322789, 0.10227084874919534, 0.04605175396326282, 0.19538718869950136, -0.05944650488622163, -0.10062997128166583, 0.3622992685591073, -0.12031536566111913, -0.0740536745313717, 0.18342386500444263, -0.23276365097895588, -0.05686828259722856, 0.20065647813127094, 0.1417191190260422, 0.1152259583544472, -0.14472260691589958, 0.010799299196071883, -0.02116221034615908, 0.15359748299005846, 0.08298183293284281, -0.0017628469048877773, 0.23220613686198308, 0.17993161124531584, 0.08042206724538752, 0.09253314958250089, -0.2267364386631095, -0.16915477719664088, -0.22065501409056393, -0.10579882158249941, -0.1466985011179729, 0.10050876434568477, -0.10728923657022635, -0.13102305766559488, 0.4227001610940889, 0.16676678285179863, 0.1923200194723904, 0.04050585706642343, 0.24557277133040453, 0.1369168680128338, 0.09604460610400724, 0.08861740371819747, 0.25949551366205054, 0.2101620482382081, 0.15423026302343476, -0.25339606279537646, 0.15201518396624242, -0.021278634404196688] |
709.3933 | Understanding the shape of the halo-mass and galaxy-mass
cross-correlation functions | We use the Millennium Simulation to measure the cross-correlation between
halo centres and mass (or equivalently the average density profiles of dark
haloes) in a LCDM cosmology. We present results for radii in the range 10 kpc/h
< r < 30 Mpc/h for halo masses in the range 4e10 Msol/h < M200 < 4e14 Msol/h.
Both at z=0 and at z=0.76 these cross-correlations are surprisingly well fit by
approximating the inner region by a density profile of NFW or Einasto form, the
outer region by a biased version of the linear mass autocorrelation function,
and by adopting the maximum of the two where they are comparable. We use a
simulation of the formation of galaxies within the Millennium Simulation to
explore how these results are reflected in cross-correlations between galaxies
and mass. These are directly observable through galaxy-galaxy lensing. Here
also we find that simple models can represent the simulation results remarkably
well, typically to < 10%. Such models can be used to extend our results to
other redshifts, to cosmologies with other parameters, and to other assumptions
about how galaxies populate dark haloes. The characteristic features predicted
in the galaxy-galaxy lensing signal should provide a strong test of the LCDM
cosmology as well as a route to understanding how galaxies form within it.
| astro-ph | we use the millennium simulation to measure the crosscorrelation between halo centres and mass or equivalently the average density profiles of dark haloes in a lcdm cosmology we present results for radii in the range 10 kpch r 30 mpch for halo masses in the range 4e10 msolh m200 4e14 msolh both at z0 and at z076 these crosscorrelations are surprisingly well fit by approximating the inner region by a density profile of nfw or einasto form the outer region by a biased version of the linear mass autocorrelation function and by adopting the maximum of the two where they are comparable we use a simulation of the formation of galaxies within the millennium simulation to explore how these results are reflected in crosscorrelations between galaxies and mass these are directly observable through galaxygalaxy lensing here also we find that simple models can represent the simulation results remarkably well typically to 10 such models can be used to extend our results to other redshifts to cosmologies with other parameters and to other assumptions about how galaxies populate dark haloes the characteristic features predicted in the galaxygalaxy lensing signal should provide a strong test of the lcdm cosmology as well as a route to understanding how galaxies form within it | [['we', 'use', 'the', 'millennium', 'simulation', 'to', 'measure', 'the', 'crosscorrelation', 'between', 'halo', 'centres', 'and', 'mass', 'or', 'equivalently', 'the', 'average', 'density', 'profiles', 'of', 'dark', 'haloes', 'in', 'a', 'lcdm', 'cosmology', 'we', 'present', 'results', 'for', 'radii', 'in', 'the', 'range', '10', 'kpch', 'r', '30', 'mpch', 'for', 'halo', 'masses', 'in', 'the', 'range', '4e10', 'msolh', 'm200', '4e14', 'msolh', 'both', 'at', 'z0', 'and', 'at', 'z076', 'these', 'crosscorrelations', 'are', 'surprisingly', 'well', 'fit', 'by', 'approximating', 'the', 'inner', 'region', 'by', 'a', 'density', 'profile', 'of', 'nfw', 'or', 'einasto', 'form', 'the', 'outer', 'region', 'by', 'a', 'biased', 'version', 'of', 'the', 'linear', 'mass', 'autocorrelation', 'function', 'and', 'by', 'adopting', 'the', 'maximum', 'of', 'the', 'two', 'where', 'they', 'are', 'comparable', 'we', 'use', 'a', 'simulation', 'of', 'the', 'formation', 'of', 'galaxies', 'within', 'the', 'millennium', 'simulation', 'to', 'explore', 'how', 'these', 'results', 'are', 'reflected', 'in', 'crosscorrelations', 'between', 'galaxies', 'and', 'mass', 'these', 'are', 'directly', 'observable', 'through', 'galaxygalaxy', 'lensing', 'here', 'also', 'we', 'find', 'that', 'simple', 'models', 'can', 'represent', 'the', 'simulation', 'results', 'remarkably', 'well', 'typically', 'to', '10', 'such', 'models', 'can', 'be', 'used', 'to', 'extend', 'our', 'results', 'to', 'other', 'redshifts', 'to', 'cosmologies', 'with', 'other', 'parameters', 'and', 'to', 'other', 'assumptions', 'about', 'how', 'galaxies', 'populate', 'dark', 'haloes', 'the', 'characteristic', 'features', 'predicted', 'in', 'the', 'galaxygalaxy', 'lensing', 'signal', 'should', 'provide', 'a', 'strong', 'test', 'of', 'the', 'lcdm', 'cosmology', 'as', 'well', 'as', 'a', 'route', 'to', 'understanding', 'how', 'galaxies', 'form', 'within', 'it']] | [-0.044548214720695783, 0.08478630483640652, -0.11359420543955416, 0.1504424439774354, -0.07340507622491836, -0.05474703882388664, -0.01734881596216424, 0.41601403095006373, -0.18064188713020685, -0.39577481208333487, 0.049310105524703184, -0.2972683322361924, -0.05291451554540456, 0.21225650921579825, 0.045040381960648794, 0.008157331418495572, 0.004433167203492151, -0.06088762141362559, -0.08384284253998628, -0.2851461677079013, 0.2994570260681992, 0.0836623577049011, 0.18319770035280458, -0.014091065054888609, 0.04982332554456453, -0.07792271425698007, -0.0452236101815575, 0.018519240438171693, -0.2097795292821506, 0.022011143314144152, 0.24862342436829807, 0.12496807618048844, 0.23196265330698573, -0.35623333823274483, -0.1949611195144756, 0.10542323875450418, 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709.3934 | Electromagnetic Field Simulations of Isolated and Periodic 3D Photomask
Patterns | We present rigorous 3D EMF simulations of isolated features on photomasks
using a newly developed finite-element method. We report on the current status
of the finite-element solver JCMsuite, incorporating higher-order edge
elements, adaptive refinement methods, and fast solution algorithms. We
demonstrate that rigorous and accurate results on light scattering off isolated
features can be achived at relatively low computational cost, compared to the
standard approach of simulations on large-pitch, periodic computational
domains.
| physics.optics physics.comp-ph | we present rigorous 3d emf simulations of isolated features on photomasks using a newly developed finiteelement method we report on the current status of the finiteelement solver jcmsuite incorporating higherorder edge elements adaptive refinement methods and fast solution algorithms we demonstrate that rigorous and accurate results on light scattering off isolated features can be achived at relatively low computational cost compared to the standard approach of simulations on largepitch periodic computational domains | [['we', 'present', 'rigorous', '3d', 'emf', 'simulations', 'of', 'isolated', 'features', 'on', 'photomasks', 'using', 'a', 'newly', 'developed', 'finiteelement', 'method', 'we', 'report', 'on', 'the', 'current', 'status', 'of', 'the', 'finiteelement', 'solver', 'jcmsuite', 'incorporating', 'higherorder', 'edge', 'elements', 'adaptive', 'refinement', 'methods', 'and', 'fast', 'solution', 'algorithms', 'we', 'demonstrate', 'that', 'rigorous', 'and', 'accurate', 'results', 'on', 'light', 'scattering', 'off', 'isolated', 'features', 'can', 'be', 'achived', 'at', 'relatively', 'low', 'computational', 'cost', 'compared', 'to', 'the', 'standard', 'approach', 'of', 'simulations', 'on', 'largepitch', 'periodic', 'computational', 'domains']] | [-0.08076805310722973, -0.016376145842618175, -0.11088466404138932, 0.04123604392765888, -0.07868156919721514, -0.11250307381020061, 0.07562147554542337, 0.443525009815182, -0.23553526843232767, -0.32901274733511465, 0.10112177493449832, -0.2870461201295257, -0.15370403569457786, 0.24798123529180885, -0.03657962300349027, 0.1229067696657564, 0.17781804435487306, -0.06860339967533946, -0.09207889163351085, -0.195947897726936, 0.24199946002003603, 0.06556141167613012, 0.29629177725208655, 0.04809170543615307, 0.0990498080051371, -0.019562194616134676, -0.07638199105858803, 0.07481138943029302, -0.12919964358994288, 0.13116388895016695, 0.19163103666090006, 0.08272543416491576, 0.25233675901378905, -0.5395489642662662, -0.19941273144047175, -0.03901343446091882, 0.15068340203392186, 0.15284971528952676, -0.11049869458989374, -0.2700650268633451, 0.11550941098082279, -0.13957428547686765, -0.12100789239630103, -0.16058211653559867, -0.0750227898891483, 0.02674413387264524, -0.26615039167393534, 0.06376947558351925, -0.014257457626185247, 0.09686709614470601, -0.053750302776669354, -0.14156031967140734, 0.04945766261579203, 0.04802704791072756, -0.04627136199602059, -0.0027889149795685495, 0.13082448346374023, -0.09392521243010249, -0.1482035509011309, 0.3389462090496506, -0.08448362775546099, -0.22267453905993273, 0.24491483615711332, -0.06762366845671619, -0.10429742273076305, 0.17007671788867032, 0.23355854192216483, 0.16929619599665915, -0.07948075285447495, 0.06120256409256919, 0.016550948228021816, 0.19782352490084512, -0.0003950032937739577, -0.02691470514982939, 0.15387408773281744, 0.2573199056621109, 0.010142320487648248, 0.08947008298876297, -0.10028765478304454, -0.07761725876480341, -0.266619351852153, -0.11282476679168342, -0.19127947350165675, -0.02740038147728358, -0.07667577435620063, -0.18193050641566516, 0.38809863915666937, 0.19451204395320798, 0.08165085552526372, 0.08027677482127078, 0.4168295377000634, 0.11052832534935858, 0.04624821143391143, 0.09135076800760414, 0.2022673915472946, 0.0865214494456138, 0.09446719734530364, -0.2677691438900573, 0.02824527596655701, 0.11823567170649767] |
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