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1,803.01867 | Relativistic Quantum Optics: On the relativistic invariance of the
light-matter interaction models | In this note we discuss the invariance under general changes of reference
frame of all the physical predictions of particle detector models in quantum
field theory in general and, in particular, of those used in quantum optics to
model atoms interacting with light. We find explicitly how the light-matter
interaction Hamiltonians change under general coordinate transformations, and
analyze the subtleties of the Hamiltonians commonly used to describe the
light-matter interaction when relativistic motion is taken into account.
| quant-ph gr-qc hep-th | in this note we discuss the invariance under general changes of reference frame of all the physical predictions of particle detector models in quantum field theory in general and in particular of those used in quantum optics to model atoms interacting with light we find explicitly how the lightmatter interaction hamiltonians change under general coordinate transformations and analyze the subtleties of the hamiltonians commonly used to describe the lightmatter interaction when relativistic motion is taken into account | [['in', 'this', 'note', 'we', 'discuss', 'the', 'invariance', 'under', 'general', 'changes', 'of', 'reference', 'frame', 'of', 'all', 'the', 'physical', 'predictions', 'of', 'particle', 'detector', 'models', 'in', 'quantum', 'field', 'theory', 'in', 'general', 'and', 'in', 'particular', 'of', 'those', 'used', 'in', 'quantum', 'optics', 'to', 'model', 'atoms', 'interacting', 'with', 'light', 'we', 'find', 'explicitly', 'how', 'the', 'lightmatter', 'interaction', 'hamiltonians', 'change', 'under', 'general', 'coordinate', 'transformations', 'and', 'analyze', 'the', 'subtleties', 'of', 'the', 'hamiltonians', 'commonly', 'used', 'to', 'describe', 'the', 'lightmatter', 'interaction', 'when', 'relativistic', 'motion', 'is', 'taken', 'into', 'account']] | [-0.08721166886631157, 0.16861779653987327, -0.09171053876286953, 0.0952648033883858, -0.013601286342827144, -0.16688310096112938, -0.04536173784010741, 0.3783012658793044, -0.2590123878235554, -0.29217414707913025, -0.032353072023539285, -0.24218204991238845, -0.15910890665776156, 0.1421545488267, -0.052900092773042716, 0.06252333821801397, 0.051649992414689684, 0.03081259624911593, -0.0969946514694141, -0.21545084178834767, 0.3164617001115308, 0.04623256899815585, 0.2640249261197138, 0.0265812329001507, 0.0938223417388735, 0.08914641286820996, 0.024334274522669903, 0.009352270834293071, -0.126138101367419, 0.09533446870357563, 0.24599458841220875, 0.06743089875883677, 0.19660237078349313, -0.505648200315508, -0.21114446318333413, 0.0666836367303191, 0.1054055711689901, 0.1963520275501462, -0.030973276280640782, -0.3081942919472402, -0.04929634125588776, -0.1521172917677791, -0.16313572733529977, -0.08907300264078688, 0.011066711624152958, 0.023978911684946966, -0.23511657430246086, 0.01860623299325635, 0.055253246956347646, 0.06567793453789571, -0.080776983134255, -0.014124718635318825, 0.049321833199688365, 0.10916654575599491, 0.04898440857968209, -0.005840102295306596, 0.14964515926594568, -0.13442005840880047, -0.08891130023554282, 0.5017145202531443, -0.06957814997279799, -0.23593284975882475, 0.1899897934288367, -0.15552034102041612, -0.15175231353549118, 0.06341976293229631, 0.21510366365531242, 0.09721835712938533, -0.19027403268948737, 0.1321400148270942, 0.01358767059426029, 0.11706694476790243, 0.006292149929523275, 0.11321845279882553, 0.19226297774872222, 0.08832454764247909, -0.02107263064350594, 0.1460292274132371, -0.038379821956593105, -0.1757976202378896, -0.36741741098366776, -0.1483398512634751, -0.12960767349101265, 0.050434900617057625, -0.08128202586796122, -0.10919470487573704, 0.4279283775960083, 0.238861652151621, 0.13944137299602682, -0.02096154785400571, 0.23908245467955802, 0.1350570691918785, 0.06518387094188433, 0.0404748416130806, 0.3183695563998122, 0.12745182020226856, 0.07585434949436745, -0.25190855800355605, -0.00850418603725054, 0.04185028201235192] |
1,803.01868 | Deep and wide gaps by super Earths in low-viscosity discs | Planets can open cavities (gaps) in the protoplanetary gaseous discs in which
they are born by exerting gravitational torques. Viscosity counters these
torques and limits the depletion of the gaps. We present a simple
one-dimensional scheme to calculate the gas density profile inside gaps by
balancing the gravitational and viscous torques. By generalizing the results of
Goodman & Rafikov (2001), our scheme properly accounts for the propagation of
angular momentum by density waves. This method allows us to easily study
low-viscosity discs, which are challenging for full hydrodynamical simulations.
We complement our numerical integration by analytical equations for the gap's
steady-state depth and width as a function of the planet's to star's mass ratio
$\mu$, the gas disc's aspect ratio $h$, and its Shakura & Sunyaev viscosity
parameter $\alpha$. Specifically, we focus on low-mass planets ($\mu<\mu_{\rm
th}\equiv h^3$) and identify a new low-viscosity regime, $\alpha<h(\mu/\mu_{\rm
th})^5$, in which the classical analytical scaling relations are invalid.
Equivalently, this low-viscosity regime applies to every gap that is depleted
by more than a factor of $(\mu_{\rm th}/\mu)^3$ relative to the unperturbed
density. We show that such gaps are significantly deeper and wider than
previously thought, and consequently take a longer time to reach equilibrium.
| astro-ph.EP | planets can open cavities gaps in the protoplanetary gaseous discs in which they are born by exerting gravitational torques viscosity counters these torques and limits the depletion of the gaps we present a simple onedimensional scheme to calculate the gas density profile inside gaps by balancing the gravitational and viscous torques by generalizing the results of goodman rafikov 2001 our scheme properly accounts for the propagation of angular momentum by density waves this method allows us to easily study lowviscosity discs which are challenging for full hydrodynamical simulations we complement our numerical integration by analytical equations for the gaps steadystate depth and width as a function of the planets to stars mass ratio mu the gas discs aspect ratio h and its shakura sunyaev viscosity parameter alpha specifically we focus on lowmass planets mumu_rm thequiv h3 and identify a new lowviscosity regime alphahmumu_rm th5 in which the classical analytical scaling relations are invalid equivalently this lowviscosity regime applies to every gap that is depleted by more than a factor of mu_rm thmu3 relative to the unperturbed density we show that such gaps are significantly deeper and wider than previously thought and consequently take a longer time to reach equilibrium | [['planets', 'can', 'open', 'cavities', 'gaps', 'in', 'the', 'protoplanetary', 'gaseous', 'discs', 'in', 'which', 'they', 'are', 'born', 'by', 'exerting', 'gravitational', 'torques', 'viscosity', 'counters', 'these', 'torques', 'and', 'limits', 'the', 'depletion', 'of', 'the', 'gaps', 'we', 'present', 'a', 'simple', 'onedimensional', 'scheme', 'to', 'calculate', 'the', 'gas', 'density', 'profile', 'inside', 'gaps', 'by', 'balancing', 'the', 'gravitational', 'and', 'viscous', 'torques', 'by', 'generalizing', 'the', 'results', 'of', 'goodman', 'rafikov', '2001', 'our', 'scheme', 'properly', 'accounts', 'for', 'the', 'propagation', 'of', 'angular', 'momentum', 'by', 'density', 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1,803.01869 | The KELT Follow-Up Network and Transit False Positive Catalog:
Pre-vetted False Positives for TESS | The Kilodegree Extremely Little Telescope (KELT) project has been conducting
a photometric survey for transiting planets orbiting bright stars for over ten
years. The KELT images have a pixel scale of ~23"/pixel---very similar to that
of NASA's Transiting Exoplanet Survey Satellite (TESS)---as well as a large
point spread function, and the KELT reduction pipeline uses a weighted
photometric aperture with radius 3'. At this angular scale, multiple stars are
typically blended in the photometric apertures. In order to identify false
positives and confirm transiting exoplanets, we have assembled a follow-up
network (KELT-FUN) to conduct imaging with higher spatial resolution, cadence,
and photometric precision than the KELT telescopes, as well as spectroscopic
observations of the candidate host stars. The KELT-FUN team has followed-up
over 1,600 planet candidates since 2011, resulting in more than 20 planet
discoveries. Excluding ~450 false alarms of non-astrophysical origin (i.e.,
instrumental noise or systematics), we present an all-sky catalog of the 1,128
bright stars (6<V<10) that show transit-like features in the KELT light curves,
but which were subsequently determined to be astrophysical false positives
(FPs) after photometric and/or spectroscopic follow-up observations. The
KELT-FUN team continues to pursue KELT and other planet candidates and will
eventually follow up certain classes of TESS candidates. The KELT FP catalog
will help minimize the duplication of follow-up observations by current and
future transit surveys such as TESS.
| astro-ph.EP | the kilodegree extremely little telescope kelt project has been conducting a photometric survey for transiting planets orbiting bright stars for over ten years the kelt images have a pixel scale of 23pixelvery similar to that of nasas transiting exoplanet survey satellite tessas well as a large point spread function and the kelt reduction pipeline uses a weighted photometric aperture with radius 3 at this angular scale multiple stars are typically blended in the photometric apertures in order to identify false positives and confirm transiting exoplanets we have assembled a followup network keltfun to conduct imaging with higher spatial resolution cadence and photometric precision than the kelt telescopes as well as spectroscopic observations of the candidate host stars the keltfun team has followedup over 1600 planet candidates since 2011 resulting in more than 20 planet discoveries excluding 450 false alarms of nonastrophysical origin ie instrumental noise or systematics we present an allsky catalog of the 1128 bright stars 6v10 that show transitlike features in the kelt light curves but which were subsequently determined to be astrophysical false positives fps after photometric andor spectroscopic followup observations the keltfun team continues to pursue kelt and other planet candidates and will eventually follow up certain classes of tess candidates the kelt fp catalog will help minimize the duplication of followup observations by current and future transit surveys such as tess | [['the', 'kilodegree', 'extremely', 'little', 'telescope', 'kelt', 'project', 'has', 'been', 'conducting', 'a', 'photometric', 'survey', 'for', 'transiting', 'planets', 'orbiting', 'bright', 'stars', 'for', 'over', 'ten', 'years', 'the', 'kelt', 'images', 'have', 'a', 'pixel', 'scale', 'of', '23pixelvery', 'similar', 'to', 'that', 'of', 'nasas', 'transiting', 'exoplanet', 'survey', 'satellite', 'tessas', 'well', 'as', 'a', 'large', 'point', 'spread', 'function', 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1,803.0187 | Texas Spectroscopic Search for Ly$\alpha$ Emission at the End of
Reionization I. Constraining the Ly$\alpha$ Equivalent Width Distribution at
6.0 < $z$ < 7.0 | The distribution of Ly$\alpha$ emission is an presently accessible method for
studying the state of the intergalactic medium (IGM) into the reionization era.
We carried out deep spectroscopic observations in order to search for
Ly$\alpha$ emission from galaxies with photometric redshifts $z$ = 5.5 - 8.3
selected from the Cosmic Assembly Near-infrared Deep Extragalactic Legacy
Survey (CANDELS). Utilizing data from the Keck/DEIMOS spectrograph, we explore
a wavelength coverage of Ly$\alpha$ emission at $z$ ~ 5 - 7 with four nights of
spectroscopic observations for 118 galaxies, detecting five emission lines with
~ 5$\sigma$ significance: three in the GOODS-N and two in the GOODS-S field. We
constrain the equivalent width (EW) distribution of Ly$\alpha$ emission by
comparing the number of detected objects with the expected number constructed
from detailed simulations of mock emission lines that account for the
observational conditions (e.g., exposure time, wavelength coverage, and sky
emission) and galaxy photometric redshift probability distribution functions.
The Ly$\alpha$ EW distribution is well described by an exponential form,
$\text{dN/dEW}\propto \text{exp(-EW/}W_0)$, characterized by the $e$-folding
scale ($W_0$) of ~ 60 - 100$\AA$ at 0.3 < $z$ < 6. By contrast, our measure of
the Ly$\alpha$ EW distribution at 6.0 < $z$ < 7.0 rejects a Ly$\alpha$ EW
distribution with $W_0$ > 36.4$\AA$ (125.3$\AA$) at 1$\sigma$ (2$\sigma$)
significance. This provides additional evidence that the EW distribution of
Ly$\alpha$ declines at $z$ > 6, suggesting an increasing fraction of neutral
hydrogen in the IGM at that epoch.
| astro-ph.GA | the distribution of lyalpha emission is an presently accessible method for studying the state of the intergalactic medium igm into the reionization era we carried out deep spectroscopic observations in order to search for lyalpha emission from galaxies with photometric redshifts z 55 83 selected from the cosmic assembly nearinfrared deep extragalactic legacy survey candels utilizing data from the keckdeimos spectrograph we explore a wavelength coverage of lyalpha emission at z 5 7 with four nights of spectroscopic observations for 118 galaxies detecting five emission lines with 5sigma significance three in the goodsn and two in the goodss field we constrain the equivalent width ew distribution of lyalpha emission by comparing the number of detected objects with the expected number constructed from detailed simulations of mock emission lines that account for the observational conditions eg exposure time wavelength coverage and sky emission and galaxy photometric redshift probability distribution functions the lyalpha ew distribution is well described by an exponential form textdndewpropto textexpeww_0 characterized by the efolding scale w_0 of 60 100aa at 03 z 6 by contrast our measure of the lyalpha ew distribution at 60 z 70 rejects a lyalpha ew distribution with w_0 364aa 1253aa at 1sigma 2sigma significance this provides additional evidence that the ew distribution of lyalpha declines at z 6 suggesting an increasing fraction of neutral hydrogen in the igm at that epoch | [['the', 'distribution', 'of', 'lyalpha', 'emission', 'is', 'an', 'presently', 'accessible', 'method', 'for', 'studying', 'the', 'state', 'of', 'the', 'intergalactic', 'medium', 'igm', 'into', 'the', 'reionization', 'era', 'we', 'carried', 'out', 'deep', 'spectroscopic', 'observations', 'in', 'order', 'to', 'search', 'for', 'lyalpha', 'emission', 'from', 'galaxies', 'with', 'photometric', 'redshifts', 'z', '55', '83', 'selected', 'from', 'the', 'cosmic', 'assembly', 'nearinfrared', 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1,803.01871 | Hydrodynamic fluctuations from a weakly coupled scalar field | Studies of non-equilibrium dynamics of cosmological phase transitions may
involve a scalar field interacting weakly with the energy-momentum tensor of a
thermal plasma. At late times, when the scalar field is approaching
equilibrium, it experiences both damping and thermal fluctuations. We show that
thermal fluctuations induce a shear viscosity and a gravitational wave
production rate, and propose that including this tunable contribution may help
in calibrating the measurement of the gravitational wave production rate in
hydrodynamic simulations. Furthermore it may enrich their physical scope,
permitting in particular for a study of the instability of growing bubbles.
| hep-ph astro-ph.CO | studies of nonequilibrium dynamics of cosmological phase transitions may involve a scalar field interacting weakly with the energymomentum tensor of a thermal plasma at late times when the scalar field is approaching equilibrium it experiences both damping and thermal fluctuations we show that thermal fluctuations induce a shear viscosity and a gravitational wave production rate and propose that including this tunable contribution may help in calibrating the measurement of the gravitational wave production rate in hydrodynamic simulations furthermore it may enrich their physical scope permitting in particular for a study of the instability of growing bubbles | [['studies', 'of', 'nonequilibrium', 'dynamics', 'of', 'cosmological', 'phase', 'transitions', 'may', 'involve', 'a', 'scalar', 'field', 'interacting', 'weakly', 'with', 'the', 'energymomentum', 'tensor', 'of', 'a', 'thermal', 'plasma', 'at', 'late', 'times', 'when', 'the', 'scalar', 'field', 'is', 'approaching', 'equilibrium', 'it', 'experiences', 'both', 'damping', 'and', 'thermal', 'fluctuations', 'we', 'show', 'that', 'thermal', 'fluctuations', 'induce', 'a', 'shear', 'viscosity', 'and', 'a', 'gravitational', 'wave', 'production', 'rate', 'and', 'propose', 'that', 'including', 'this', 'tunable', 'contribution', 'may', 'help', 'in', 'calibrating', 'the', 'measurement', 'of', 'the', 'gravitational', 'wave', 'production', 'rate', 'in', 'hydrodynamic', 'simulations', 'furthermore', 'it', 'may', 'enrich', 'their', 'physical', 'scope', 'permitting', 'in', 'particular', 'for', 'a', 'study', 'of', 'the', 'instability', 'of', 'growing', 'bubbles']] | [-0.19497635768736168, 0.25092421395856945, -0.1171425342472503, 0.034495867279474624, -0.058736194361699745, -0.08039290545760498, -0.014734677000281712, 0.2908045316407879, -0.24610118734805533, -0.24247458156120652, 0.07798981552029242, -0.26871414286627743, -0.11047860444038331, 0.17034386828769735, 0.07062426973910381, 0.008683027893615266, 0.03380437082402447, 0.001466425693555114, -0.04088326130537704, -0.16214306185065652, 0.32966381718991516, 0.10821844926006936, 0.2611688917677384, 0.082574738485467, 0.06063858151416449, -0.03683547681915419, -0.041550840865966165, 0.05415269271664632, -0.15612489089229106, -0.005186746372298027, 0.19771779940735237, 0.06703570664346141, 0.26173264558504644, -0.4535479577219424, -0.27023155213100836, 0.11647940796683542, 0.14492328178554695, 0.16890906544964915, -0.07587142903867061, -0.22382093932537828, -0.0026262668058431395, -0.19281524067628197, -0.14857919716935916, -0.075069192207593, 0.029569182188424747, 0.023879791937361006, -0.29793890775181353, 0.15328706246994747, 0.020034171640872955, -0.01341442352956316, -0.08356216734440143, -0.04381941656659668, -0.048928038280185625, 0.06216500429369868, 0.09601254534209147, 0.04432517501845723, 0.2383792911665902, -0.2213944643129556, -0.07006035261292709, 0.3852433798601851, -0.1406950529793297, -0.15894473484271052, 0.23055775037695034, -0.19619018996794088, -0.09532478256733157, 0.17880943597507817, 0.20705218378376836, 0.08770190483968084, -0.14170064239518373, 0.042674134854678414, 0.05633797651807981, 0.13433186649732912, 0.05690181716636289, 0.05519361752764477, 0.3127442095331692, 0.16423225344139306, -0.016240770317381248, 0.14420033550474423, -0.06971361386968056, -0.1035920327800947, -0.31365041291185963, -0.1697628868811686, -0.14381365185060227, 0.09138182441362612, -0.11106239520889478, -0.18443297844108505, 0.3755188159023722, 0.18947969284757468, 0.12795906462937032, 0.03711560139345238, 0.27231186071488384, 0.10695440273836236, 0.017267297267001897, 0.07704515315708704, 0.3475896619493142, 0.16568122645063946, 0.15378911197573567, -0.27843391030910425, 0.028174546411416184, -0.0009178226464428008] |
1,803.01872 | Proposal for measuring the parity anomaly in a topological
superconductor ring | A topological superconductor ring is uniquely characterized by a switch in
the ground state fermion number parity upon insertion of one superconducting
flux quantum - a direct consequence of the topological `parity anomaly.'
Despite the many other tantalizing signatures and applications of topological
superconductors, this fundamental, defining property remains to be observed
experimentally. Here we propose definitive detection of the fermion parity
switch from the charging energy, temperature, and tunnel barrier dependence of
the flux periodicity of two-terminal conductance of a floating superconductor
ring. We extend the Ambegaokar-Eckern-Sch{\"o}n formalism for superconductors
with a Coulomb charging energy to establish new explicit relationships between
thermodynamic and transport properties of such a ring and the topological
invariant of the superconductor. Crucially, we show that the topological
contribution to the conductance oscillations can be isolated from Aharonov-Bohm
oscillations of non-topological origin by their different dependence on the
charging energy or barrier transparency.
| cond-mat.mes-hall | a topological superconductor ring is uniquely characterized by a switch in the ground state fermion number parity upon insertion of one superconducting flux quantum a direct consequence of the topological parity anomaly despite the many other tantalizing signatures and applications of topological superconductors this fundamental defining property remains to be observed experimentally here we propose definitive detection of the fermion parity switch from the charging energy temperature and tunnel barrier dependence of the flux periodicity of twoterminal conductance of a floating superconductor ring we extend the ambegaokareckernschon formalism for superconductors with a coulomb charging energy to establish new explicit relationships between thermodynamic and transport properties of such a ring and the topological invariant of the superconductor crucially we show that the topological contribution to the conductance oscillations can be isolated from aharonovbohm oscillations of nontopological origin by their different dependence on the charging energy or barrier transparency | [['a', 'topological', 'superconductor', 'ring', 'is', 'uniquely', 'characterized', 'by', 'a', 'switch', 'in', 'the', 'ground', 'state', 'fermion', 'number', 'parity', 'upon', 'insertion', 'of', 'one', 'superconducting', 'flux', 'quantum', 'a', 'direct', 'consequence', 'of', 'the', 'topological', 'parity', 'anomaly', 'despite', 'the', 'many', 'other', 'tantalizing', 'signatures', 'and', 'applications', 'of', 'topological', 'superconductors', 'this', 'fundamental', 'defining', 'property', 'remains', 'to', 'be', 'observed', 'experimentally', 'here', 'we', 'propose', 'definitive', 'detection', 'of', 'the', 'fermion', 'parity', 'switch', 'from', 'the', 'charging', 'energy', 'temperature', 'and', 'tunnel', 'barrier', 'dependence', 'of', 'the', 'flux', 'periodicity', 'of', 'twoterminal', 'conductance', 'of', 'a', 'floating', 'superconductor', 'ring', 'we', 'extend', 'the', 'ambegaokareckernschon', 'formalism', 'for', 'superconductors', 'with', 'a', 'coulomb', 'charging', 'energy', 'to', 'establish', 'new', 'explicit', 'relationships', 'between', 'thermodynamic', 'and', 'transport', 'properties', 'of', 'such', 'a', 'ring', 'and', 'the', 'topological', 'invariant', 'of', 'the', 'superconductor', 'crucially', 'we', 'show', 'that', 'the', 'topological', 'contribution', 'to', 'the', 'conductance', 'oscillations', 'can', 'be', 'isolated', 'from', 'aharonovbohm', 'oscillations', 'of', 'nontopological', 'origin', 'by', 'their', 'different', 'dependence', 'on', 'the', 'charging', 'energy', 'or', 'barrier', 'transparency']] | [-0.25421153053484513, 0.20032883666100956, -0.08456862842795584, 0.07155612166210705, -0.07948451833229284, -0.18532387371852893, 0.12681887817385346, 0.3210952318951386, -0.27738158670602503, -0.32585761158847487, -0.01218319545598181, -0.2848549637037526, -0.11318671298023238, 0.16239769228569353, 0.0025093760056307123, 0.041893072140428436, -0.03604629663370398, 0.02008088318897145, -0.09190040194670207, -0.17958160441330806, 0.3389724221486015, 0.003951004778389775, 0.32090985013780243, 0.14562948012319046, 0.023574382928358454, -0.023154332665219702, 0.10196587174250206, 0.05258898676506111, -0.13676604237705414, 0.05160708945928788, 0.22176125377011138, -0.05446924731376118, 0.1326744708416312, -0.46900952854478845, -0.20090390460210897, 0.08637325804709095, 0.10225193603217703, 0.12091165528550339, -0.09380693480983808, -0.29371842346312543, 0.06581478692186508, -0.1779873995617235, -0.11878899620928275, -0.07920853532597322, 0.017897198299820324, -0.006429654067749677, -0.19245987096611333, 0.06349101718150865, 0.03290300823425, 0.07928013906744467, -0.044990544600196844, -0.06425671837590381, -0.04415207067948012, 0.06395961230044209, 0.03763838670672659, -0.030592085148974442, 0.15197448675413014, -0.13118074648319838, -0.15469778104618723, 0.31636292246632836, -0.04858788266955387, -0.11219512813781597, 0.1640077618308695, -0.13239612651444008, -0.08044610745875405, 0.1313187135795296, 0.052684004779677, 0.08032939030605109, -0.12751940988815155, 0.10069671637365962, -0.04505471002031751, 0.13807143182905557, 0.06704067681649965, 0.12603121123840513, 0.3176255278466713, 0.1821881125429265, 0.09669343280929876, 0.14821866711761586, -0.10889716607797258, -0.06178242279862871, -0.3092222672880811, -0.20675440744889784, -0.22281603054238522, 0.13328032264387754, -0.010866689831723276, -0.21512428105992526, 0.4578387591075928, 0.1533291578882051, 0.2024220475755936, -0.04554533308568303, 0.2751670110318176, 0.14305866697168004, 0.08504846575353169, 0.013158449009029183, 0.2078885735696828, 0.16883345140416656, 0.1059381087674113, -0.33825415417830756, 0.048601965036648674, 0.05099876220876567] |
1,803.01873 | Canonical metrics on holomorphic Courant algebroids | The solution of the Calabi Conjecture by Yau implies that every K\"ahler
Calabi-Yau manifold $X$ admits a metric with holonomy contained in
$\textrm{SU}(n)$, and that these metrics are parametrized by the positive cone
in $H^{1,1}(X,\mathbb{R})$. In this work we give evidence of an extension of
Yau's theorem to non-K\"ahler manifolds, where $X$ is replaced by a compact
complex manifold with vanishing first Chern class endowed with a holomorphic
Courant algebroid $Q$ of Bott-Chern type. The equations that define our notion
of best metric correspond to a mild generalization of the Hull-Strominger
system, whereas the role of $H^{1,1}(X,\mathbb{R})$ is played by an affine
space of 'Aeppli classes' naturally associated to $Q$ via Bott-Chern secondary
characteristic classes.
| math.DG hep-th math.AG math.SG | the solution of the calabi conjecture by yau implies that every kahler calabiyau manifold x admits a metric with holonomy contained in textrmsun and that these metrics are parametrized by the positive cone in h11xmathbbr in this work we give evidence of an extension of yaus theorem to nonkahler manifolds where x is replaced by a compact complex manifold with vanishing first chern class endowed with a holomorphic courant algebroid q of bottchern type the equations that define our notion of best metric correspond to a mild generalization of the hullstrominger system whereas the role of h11xmathbbr is played by an affine space of aeppli classes naturally associated to q via bottchern secondary characteristic classes | [['the', 'solution', 'of', 'the', 'calabi', 'conjecture', 'by', 'yau', 'implies', 'that', 'every', 'kahler', 'calabiyau', 'manifold', 'x', 'admits', 'a', 'metric', 'with', 'holonomy', 'contained', 'in', 'textrmsun', 'and', 'that', 'these', 'metrics', 'are', 'parametrized', 'by', 'the', 'positive', 'cone', 'in', 'h11xmathbbr', 'in', 'this', 'work', 'we', 'give', 'evidence', 'of', 'an', 'extension', 'of', 'yaus', 'theorem', 'to', 'nonkahler', 'manifolds', 'where', 'x', 'is', 'replaced', 'by', 'a', 'compact', 'complex', 'manifold', 'with', 'vanishing', 'first', 'chern', 'class', 'endowed', 'with', 'a', 'holomorphic', 'courant', 'algebroid', 'q', 'of', 'bottchern', 'type', 'the', 'equations', 'that', 'define', 'our', 'notion', 'of', 'best', 'metric', 'correspond', 'to', 'a', 'mild', 'generalization', 'of', 'the', 'hullstrominger', 'system', 'whereas', 'the', 'role', 'of', 'h11xmathbbr', 'is', 'played', 'by', 'an', 'affine', 'space', 'of', 'aeppli', 'classes', 'naturally', 'associated', 'to', 'q', 'via', 'bottchern', 'secondary', 'characteristic', 'classes']] | [-0.2264578756467815, 0.04650944856576532, -0.07114508207693386, 0.0702149579107451, -0.13199999388879197, -0.17193164033488484, -0.040222271564089807, 0.29819084595472206, -0.25968591340719477, -0.2330619321417129, 0.053827856152661537, -0.23998818731776914, -0.21403548466205075, 0.18260239144346038, -0.17292883786119587, -0.04879588627240114, 0.05785284324124325, 0.07294654006571427, -0.11877997507741511, -0.26319735203951333, 0.5474762436729578, 0.0024021042102647604, 0.2000889583376416, 0.07142620424233508, 0.15628553679408996, -0.039060933521556616, 0.018553128662078006, 0.02737117015420696, -0.14429273133122988, 0.14145394499421837, 0.2893214658425565, 0.07193973640045315, 0.19482273889476792, -0.32600767060316765, -0.1768836855720892, 0.20572531273947997, 0.07469339336252265, -0.04114475649609966, -0.01617037856914593, -0.31267203357920315, 0.13428240867429658, -0.12138287898300118, -0.21366066661287555, -0.09552318831776031, 0.04335624468921308, -0.02048202984753931, -0.20282061475639543, 0.012413851312247285, 0.1551403837593011, 0.06821620850805948, -0.09701885117969491, -0.0664878522950682, -0.10107728974125757, 0.020852649911192424, 0.039119539210540163, 0.1230639364159862, 0.06398411413293185, -0.052644780080810416, -0.14454267790394001, 0.337311609811558, -0.11144543066416589, -0.2797220443567392, 0.05464540875778256, -0.11713473246792298, -0.18665654099905832, 0.15024425804190206, 0.0868526912670125, 0.21226262042233557, -0.025114936137310508, 0.18784957173384578, -0.09432039119041803, 0.0497281440868647, 0.1116762122654013, 0.0026349961970066815, 0.14162512846585168, 0.1184439177465576, 0.13570042518212608, 0.1040751239787297, 0.029908491534961126, -0.07578385915819622, -0.3857867853356558, -0.23126253747971515, -0.10920766722656002, 0.22317530370823907, -0.14100914964390604, -0.18109373071868168, 0.36573355405983565, -0.020808217160632473, 0.22866275928416208, 0.12197037082034767, 0.1657928096992372, 0.045968583591993115, 0.03335938177361529, 0.08375968949117682, 0.15372556122836836, 0.23744411316798314, 0.03070927888824882, -0.13071770426151424, -0.042556989815478265, 0.2200348820872278] |
1,803.01874 | Gravity from entanglement for boundary subregions | We explore several aspects of the relation between gravity and entanglement
in the context of AdS/CFT, in the simple setting of 3 bulk dimensions.
Specifically, we consider small perturbations of the AdS metric and the CFT
vacuum state and study what can be learnt about the metric perturbation from
the Ryu-Takayanagi (RT) formula alone. It is well-known that, if the RT formula
holds for all boundary spacelike segments, then the metric perturbation
satisfies the linearized Einstein equations throughout the bulk. We generalize
this result by showing that, if the RT formula holds for all spacelike segments
contained in a certain boundary region, then the metric perturbation satisfies
the linearized Einstein equations in a corresponding bulk region (in fact, it
is completely determined in that region). We also argue that the same is true
for small perturbations of the planar BTZ black hole and the CFT thermal state.
We discuss the relation between our results and the ideas of
subregion-subregion duality, and we point out that our argument also serves as
a holographic proof of the linearized RT formula for boundary segments.
| hep-th gr-qc math-ph math.MP | we explore several aspects of the relation between gravity and entanglement in the context of adscft in the simple setting of 3 bulk dimensions specifically we consider small perturbations of the ads metric and the cft vacuum state and study what can be learnt about the metric perturbation from the ryutakayanagi rt formula alone it is wellknown that if the rt formula holds for all boundary spacelike segments then the metric perturbation satisfies the linearized einstein equations throughout the bulk we generalize this result by showing that if the rt formula holds for all spacelike segments contained in a certain boundary region then the metric perturbation satisfies the linearized einstein equations in a corresponding bulk region in fact it is completely determined in that region we also argue that the same is true for small perturbations of the planar btz black hole and the cft thermal state we discuss the relation between our results and the ideas of subregionsubregion duality and we point out that our argument also serves as a holographic proof of the linearized rt formula for boundary segments | [['we', 'explore', 'several', 'aspects', 'of', 'the', 'relation', 'between', 'gravity', 'and', 'entanglement', 'in', 'the', 'context', 'of', 'adscft', 'in', 'the', 'simple', 'setting', 'of', '3', 'bulk', 'dimensions', 'specifically', 'we', 'consider', 'small', 'perturbations', 'of', 'the', 'ads', 'metric', 'and', 'the', 'cft', 'vacuum', 'state', 'and', 'study', 'what', 'can', 'be', 'learnt', 'about', 'the', 'metric', 'perturbation', 'from', 'the', 'ryutakayanagi', 'rt', 'formula', 'alone', 'it', 'is', 'wellknown', 'that', 'if', 'the', 'rt', 'formula', 'holds', 'for', 'all', 'boundary', 'spacelike', 'segments', 'then', 'the', 'metric', 'perturbation', 'satisfies', 'the', 'linearized', 'einstein', 'equations', 'throughout', 'the', 'bulk', 'we', 'generalize', 'this', 'result', 'by', 'showing', 'that', 'if', 'the', 'rt', 'formula', 'holds', 'for', 'all', 'spacelike', 'segments', 'contained', 'in', 'a', 'certain', 'boundary', 'region', 'then', 'the', 'metric', 'perturbation', 'satisfies', 'the', 'linearized', 'einstein', 'equations', 'in', 'a', 'corresponding', 'bulk', 'region', 'in', 'fact', 'it', 'is', 'completely', 'determined', 'in', 'that', 'region', 'we', 'also', 'argue', 'that', 'the', 'same', 'is', 'true', 'for', 'small', 'perturbations', 'of', 'the', 'planar', 'btz', 'black', 'hole', 'and', 'the', 'cft', 'thermal', 'state', 'we', 'discuss', 'the', 'relation', 'between', 'our', 'results', 'and', 'the', 'ideas', 'of', 'subregionsubregion', 'duality', 'and', 'we', 'point', 'out', 'that', 'our', 'argument', 'also', 'serves', 'as', 'a', 'holographic', 'proof', 'of', 'the', 'linearized', 'rt', 'formula', 'for', 'boundary', 'segments']] | [-0.14006225665701935, 0.09737705547704736, -0.11566098363689296, 0.10728247969884692, -0.06903444028083873, -0.13973972300911394, 0.006791208227530369, 0.28774277498245815, -0.24573379954662772, -0.21266194787493892, 0.09994509203091922, -0.29938986585141053, -0.1749761462075255, 0.16374435305893834, -0.05879855737297857, 0.03605961395190895, 0.036041808952654596, 0.07134842218635655, -0.11314266379433813, -0.22181366439728653, 0.4010258684583132, 0.012727638490456902, 0.27814388303960885, 0.09682080457218567, 0.09404109627296582, 0.008946354819965955, 0.02617888978955166, 0.07157166302397086, -0.19648003213604281, 0.07776587600665404, 0.23398994654979818, 0.14032757415009137, 0.19431629223049263, -0.4084786939028218, -0.22404943772293215, 0.0593993645650206, 0.10675108432062279, 0.13987166090811815, -0.00010803641329483433, -0.2587759632987706, 0.12447065676019646, -0.13845730956659255, -0.1747162934181728, -0.04139366529583519, 0.022174102285084474, -0.09527844417125028, -0.22723194567527807, 0.09888662703017555, 0.10045354190997738, -0.014397077656026868, -0.12192718573917959, -0.015960170033269494, -0.049194256807240086, 0.11933717889793588, 0.08328033141593721, 0.03732342731197318, 0.09719250198114067, -0.1183807266791202, -0.03964378162305185, 0.3315875227897536, -0.08570781354252147, -0.22748245810366297, 0.12087529298890567, -0.2032964150369867, -0.10030056102630985, 0.039525080980341985, 0.07712874241888482, 0.1798918383576758, -0.12723034710844577, 0.1618820493712826, -0.07513196173944711, 0.12411973574948086, 0.12621122308510216, 0.021842337679761098, 0.21802882548905292, 0.053415838738990876, 0.04068526472460263, 0.19391214013040498, -0.03846724961308032, -0.10809217221798241, -0.4044591827718129, -0.19238572484602667, -0.1810744556248476, 0.0696754432669249, -0.18085158495338588, -0.1657987773567644, 0.3362550316558564, 0.14399568236160262, 0.17902189769231566, 0.08909837659242568, 0.24505121432738738, 0.10743467831400157, 0.04546839848304816, 0.13405477959734713, 0.27728121328291105, 0.12666385370378708, 0.10871956459740537, -0.22255172211038804, -0.026640357510109552, 0.15853944274169798] |
1,803.01875 | Superluminous supernovae | Superluminous supernovae are a new class of supernovae that were recognized
about a decade ago. Both observational and theoretical progress has been
significant in the last decade. In this review, we first briefly summarize the
observational properties of superluminous supernovae. We then introduce the
three major suggested luminosity sources to explain the huge luminosities of
superluminous supernovae, i.e., the nuclear decay of 56Ni, the interaction
between supernova ejecta and dense circumstellar media, and the spin down of
magnetars. We compare these models and discuss their strengths and weaknesses.
| astro-ph.HE astro-ph.SR | superluminous supernovae are a new class of supernovae that were recognized about a decade ago both observational and theoretical progress has been significant in the last decade in this review we first briefly summarize the observational properties of superluminous supernovae we then introduce the three major suggested luminosity sources to explain the huge luminosities of superluminous supernovae ie the nuclear decay of 56ni the interaction between supernova ejecta and dense circumstellar media and the spin down of magnetars we compare these models and discuss their strengths and weaknesses | [['superluminous', 'supernovae', 'are', 'a', 'new', 'class', 'of', 'supernovae', 'that', 'were', 'recognized', 'about', 'a', 'decade', 'ago', 'both', 'observational', 'and', 'theoretical', 'progress', 'has', 'been', 'significant', 'in', 'the', 'last', 'decade', 'in', 'this', 'review', 'we', 'first', 'briefly', 'summarize', 'the', 'observational', 'properties', 'of', 'superluminous', 'supernovae', 'we', 'then', 'introduce', 'the', 'three', 'major', 'suggested', 'luminosity', 'sources', 'to', 'explain', 'the', 'huge', 'luminosities', 'of', 'superluminous', 'supernovae', 'ie', 'the', 'nuclear', 'decay', 'of', '56ni', 'the', 'interaction', 'between', 'supernova', 'ejecta', 'and', 'dense', 'circumstellar', 'media', 'and', 'the', 'spin', 'down', 'of', 'magnetars', 'we', 'compare', 'these', 'models', 'and', 'discuss', 'their', 'strengths', 'and', 'weaknesses']] | [-0.02541490454777059, 0.11688993210819634, -0.00401685815516182, 0.18408533848626327, -0.17619086054831065, -0.06374593316154047, 0.02718749074450567, 0.46233375696465373, -0.20426114373417062, -0.2790622132914988, 0.06830881081590302, -0.33459980952003127, -0.04666705284563994, 0.2167132455559278, -0.019740616959924493, -0.019160295397424223, 0.11002468950623139, -0.10150086623616517, -0.13888256212918682, -0.33429319988036615, 0.3406922307542779, 0.04134442341323434, 0.18924277088610159, 0.03223392996005714, 0.0784092553790701, -0.1816177882666869, -0.09905646487393162, -0.07789988896084568, -0.1924264819010866, 0.08871978309682825, 0.21042026023170282, 0.22715958603393202, 0.2436599600107663, -0.4626588281667368, -0.29124124747150665, 0.14380371976982464, 0.19542102365945044, 0.10056586032574573, -0.08981213218066841, -0.26581641352227464, 0.059033802841440775, -0.2991018491712483, -0.12132868979560127, 0.015079524944832718, 0.09559606060660868, 0.10332057893868875, -0.12249715929448773, 0.09008191791045564, 0.021869217003272337, 0.08120118735876697, -0.07779466845650776, -0.12838292040396482, 0.03535174353535033, 0.03849228817588565, 0.1510168020084331, -0.01112032799706371, 0.03538176322366449, -0.18326057471726512, -0.0902070467180403, 0.4035921159348535, -0.0038697456930508038, 0.10121879590918649, 0.22393459438833155, -0.1556408654644408, -0.17056932281279427, 0.08709268145453693, 0.1976694549031725, 0.08417368307709694, -0.20376161657358435, -0.013038970649755687, 0.008506992437601597, 0.0976719193964858, -0.012051615012089976, 0.09726688700613356, 0.3102668911028145, 0.2095284579713321, -0.07910678846052509, 0.06509777477053418, -0.18877528035293586, -0.010286181995814497, -0.3060909408059987, -0.11313825680620292, -0.0989320706602567, 0.1306935629267669, -0.09425030435373959, -0.08786843003194504, 0.3911098735711262, 0.14614883782765406, 0.19132727348584344, -0.02233425406104123, 0.2509336364402605, 0.021684607258066535, 0.09406597178630446, 0.10477928988720206, 0.4076051290824332, 0.21668433137925935, 0.1395146721360189, -0.2209071896663359, 0.11086833164815536, 0.017211500809273937] |
1,803.01876 | Edge states and topological invariants of non-Hermitian systems | The bulk-boundary correspondence is among the central issues of non-Hermitian
topological states. We show that a previously overlooked `non-Hermitian skin
effect' necessitates redefinition of topological invariants in a generalized
Brillouin zone. The resultant phase diagrams dramatically differ from the usual
Bloch theory. Specifically, we obtain the phase diagram of non-Hermitian
Su-Schrieffer-Heeger model, whose topological zero modes are determined by the
non-Bloch winding number instead of the Bloch-Hamiltonian-based topological
number. Our work settles the issue of the breakdown of conventional
bulk-boundary correspondence and introduces the non-Bloch bulk-boundary
correspondence.
| cond-mat.mes-hall cond-mat.other cond-mat.quant-gas cond-mat.str-el physics.optics | the bulkboundary correspondence is among the central issues of nonhermitian topological states we show that a previously overlooked nonhermitian skin effect necessitates redefinition of topological invariants in a generalized brillouin zone the resultant phase diagrams dramatically differ from the usual bloch theory specifically we obtain the phase diagram of nonhermitian suschriefferheeger model whose topological zero modes are determined by the nonbloch winding number instead of the blochhamiltonianbased topological number our work settles the issue of the breakdown of conventional bulkboundary correspondence and introduces the nonbloch bulkboundary correspondence | [['the', 'bulkboundary', 'correspondence', 'is', 'among', 'the', 'central', 'issues', 'of', 'nonhermitian', 'topological', 'states', 'we', 'show', 'that', 'a', 'previously', 'overlooked', 'nonhermitian', 'skin', 'effect', 'necessitates', 'redefinition', 'of', 'topological', 'invariants', 'in', 'a', 'generalized', 'brillouin', 'zone', 'the', 'resultant', 'phase', 'diagrams', 'dramatically', 'differ', 'from', 'the', 'usual', 'bloch', 'theory', 'specifically', 'we', 'obtain', 'the', 'phase', 'diagram', 'of', 'nonhermitian', 'suschriefferheeger', 'model', 'whose', 'topological', 'zero', 'modes', 'are', 'determined', 'by', 'the', 'nonbloch', 'winding', 'number', 'instead', 'of', 'the', 'blochhamiltonianbased', 'topological', 'number', 'our', 'work', 'settles', 'the', 'issue', 'of', 'the', 'breakdown', 'of', 'conventional', 'bulkboundary', 'correspondence', 'and', 'introduces', 'the', 'nonbloch', 'bulkboundary', 'correspondence']] | [-0.2312993069536724, 0.2104932248895598, -0.10250314007794788, 0.06021020992599471, -0.10497739956562602, -0.15255520688803043, 0.1028145088944151, 0.2607452230268093, -0.25439064422903884, -0.2843273804891248, -0.012780351040419191, -0.28092933567322054, -0.25616434028068946, 0.11810764737243136, -0.07612827797095444, 0.07062120964685671, -0.022821360653493727, -0.02022199896922292, -0.15706182842218686, -0.17368675224742916, 0.3565492775063788, -0.06503392854126083, 0.33943773897061513, 0.06144249662323747, -0.02405107115546978, 0.02253650830582131, 0.012373917562843756, 0.0003756277349799178, -0.138956566387669, 0.07588926506388477, 0.25832995092279687, 0.006297099425695663, 0.15582942759055038, -0.42844878892999055, -0.2384434876920179, 0.08128516355442793, 0.16620688498301736, 0.12310218226115847, 0.0008669671234349872, -0.32383084705446, 0.03392897456407894, -0.17876342560576144, -0.1804852617287272, -0.0676067795951006, -0.03092349983405235, -0.11114329173294611, -0.1539504688671725, 0.08584187110496122, 0.09244298968507453, 0.09631870342635138, -0.011440755963206378, -0.04102186130922894, -0.09931710623150561, 0.10447706889664364, 0.04019918549009924, -0.0022270832654781815, 0.08414051155451426, -0.1425456765248592, -0.13605481665175365, 0.36726582139665476, 0.015306495023122446, -0.16548439727786138, 0.14342550702696277, -0.12294663828364465, -0.11561726840472845, 0.1124841513458726, 0.013051052344962955, 0.090122792371657, -0.06068573908360545, 0.15523108555109585, -0.07374129391297005, 0.08154583671996586, 0.07080186868281385, 0.09317380489868134, 0.26442882039064414, 0.08696216270110982, 0.041272238855315155, 0.2136973207275015, -0.06307363620049558, -0.15482674993921158, -0.30898722698695436, -0.15177760565610127, -0.25507897313015515, 0.020375638339278655, -0.097394263485364, -0.20813136652848402, 0.46425056706594175, 0.14722574307301708, 0.20037817408778802, 0.01653602457237105, 0.2393288007872396, 0.1662028996818049, 0.06336585259867757, -0.0033820266564658216, 0.27574029549696416, 0.18936036124576403, 0.06367694640662087, -0.2862780170304008, -0.04654216010199297, 0.19235873924091804] |
1,803.01877 | On Algebraic Proofs of Stability for Homogeneous Vector Fields | We prove that if a homogeneous, continuously differentiable vector field is
asymptotically stable, then it admits a Lyapunov function which is the ratio of
two polynomials (i.e., a rational function). We further show that when the
vector field is polynomial, the Lyapunov inequalities on both the rational
function and its derivative have sum of squares certificates and hence such a
Lyapunov function can always be found by semidefinite programming. This
generalizes the classical fact that an asymptotically stable linear system
admits a quadratic Lyapunov function which satisfies a certain linear matrix
inequality. In addition to homogeneous vector fields, the result can be useful
for showing local asymptotic stability of non-homogeneous systems by proving
asymptotic stability of their lowest order homogeneous component.
This paper also includes some negative results: We show that (i) in absence
of homogeneity, globally asymptotically stable polynomial vector fields may
fail to admit a global rational Lyapunov function, and (ii) in presence of
homogeneity, the degree of the numerator of a rational Lyapunov function may
need to be arbitrarily high (even for vector fields of fixed degree and
dimension). On the other hand, we also give a family of homogeneous polynomial
vector fields that admit a low-degree rational Lyapunov function but
necessitate polynomial Lyapunov functions of arbitrarily high degree. This
shows the potential benefits of working with rational Lyapunov functions,
particularly as the ones whose existence we guarantee have structured
denominators and are not more expensive to search for than polynomial ones.
| math.OC cs.SY math.AG math.DS | we prove that if a homogeneous continuously differentiable vector field is asymptotically stable then it admits a lyapunov function which is the ratio of two polynomials ie a rational function we further show that when the vector field is polynomial the lyapunov inequalities on both the rational function and its derivative have sum of squares certificates and hence such a lyapunov function can always be found by semidefinite programming this generalizes the classical fact that an asymptotically stable linear system admits a quadratic lyapunov function which satisfies a certain linear matrix inequality in addition to homogeneous vector fields the result can be useful for showing local asymptotic stability of nonhomogeneous systems by proving asymptotic stability of their lowest order homogeneous component this paper also includes some negative results we show that i in absence of homogeneity globally asymptotically stable polynomial vector fields may fail to admit a global rational lyapunov function and ii in presence of homogeneity the degree of the numerator of a rational lyapunov function may need to be arbitrarily high even for vector fields of fixed degree and dimension on the other hand we also give a family of homogeneous polynomial vector fields that admit a lowdegree rational lyapunov function but necessitate polynomial lyapunov functions of arbitrarily high degree this shows the potential benefits of working with rational lyapunov functions particularly as the ones whose existence we guarantee have structured denominators and are not more expensive to search for than polynomial ones | [['we', 'prove', 'that', 'if', 'a', 'homogeneous', 'continuously', 'differentiable', 'vector', 'field', 'is', 'asymptotically', 'stable', 'then', 'it', 'admits', 'a', 'lyapunov', 'function', 'which', 'is', 'the', 'ratio', 'of', 'two', 'polynomials', 'ie', 'a', 'rational', 'function', 'we', 'further', 'show', 'that', 'when', 'the', 'vector', 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1,803.01878 | Estimating the Mass of the Milky Way Using the Ensemble of Classical
Satellite Galaxies | High precision proper motion (PM) measurements are available for
approximately 20% of all known dwarf satellite galaxies of the Milky Way (MW).
Here we extend the Bayesian framework of Patel et al. (2017b) to include all MW
satellites with measured 6D phase space information and apply it with the
Illustris-Dark simulation to constrain the MW's mass. Using the properties of
each MW satellite individually, we find that the scatter among mass estimates
is reduced when the magnitude of specific orbital angular momentum (j) is
adopted rather than their combined instantaneous positions and velocities. We
also find that high j satellites (i.e. Leo II) constrain the upper limits for
the MW's mass and low j satellites rather than the highest speed satellites
(i.e. Leo I and LMC), set the lower mass limits. When j of all classical
satellites is used to simultaneously estimate the MW's mass, we conclude the
halo mass is $0.85^{+0.23}_{-0.26}\times 10^{12} \rm \, M_{\odot}$ (including
Sagittarius dSph) and $0.96^{+0.29}_{-0.28} \times 10^{12} \rm \, M_{\odot}$
(excluding Sagittarius dSph), cautioning that low j satellites on decaying
orbits like Sagittarius dSph may bias the distribution. These estimates
markedly reduce the current factor of two spread in the mass range of the MW.
We also find a well-defined relationship between host halo mass and satellite j
distribution, which yields the prediction that upcoming PMs for ultra-faint
dwarfs should reveal j within $ 5\times10^3 - 10^4$ kpc km s$^{-1}$. This is a
promising method to significantly constrain the cosmologically expected mass
range for the MW and eventually M31 as more satellite PMs become available.
| astro-ph.GA | high precision proper motion pm measurements are available for approximately 20 of all known dwarf satellite galaxies of the milky way mw here we extend the bayesian framework of patel et al 2017b to include all mw satellites with measured 6d phase space information and apply it with the illustrisdark simulation to constrain the mws mass using the properties of each mw satellite individually we find that the scatter among mass estimates is reduced when the magnitude of specific orbital angular momentum j is adopted rather than their combined instantaneous positions and velocities we also find that high j satellites ie leo ii constrain the upper limits for the mws mass and low j satellites rather than the highest speed satellites ie leo i and lmc set the lower mass limits when j of all classical satellites is used to simultaneously estimate the mws mass we conclude the halo mass is 085023_026times 1012 rm m_odot including sagittarius dsph and 096029_028 times 1012 rm m_odot excluding sagittarius dsph cautioning that low j satellites on decaying orbits like sagittarius dsph may bias the distribution these estimates markedly reduce the current factor of two spread in the mass range of the mw we also find a welldefined relationship between host halo mass and satellite j distribution which yields the prediction that upcoming pms for ultrafaint dwarfs should reveal j within 5times103 104 kpc km s1 this is a promising method to significantly constrain the cosmologically expected mass range for the mw and eventually m31 as more satellite pms become available | [['high', 'precision', 'proper', 'motion', 'pm', 'measurements', 'are', 'available', 'for', 'approximately', '20', 'of', 'all', 'known', 'dwarf', 'satellite', 'galaxies', 'of', 'the', 'milky', 'way', 'mw', 'here', 'we', 'extend', 'the', 'bayesian', 'framework', 'of', 'patel', 'et', 'al', '2017b', 'to', 'include', 'all', 'mw', 'satellites', 'with', 'measured', '6d', 'phase', 'space', 'information', 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1,803.01879 | Limits on the Reconstruction of a Single Dark Energy Scalar Field
Potential from SNe Ia Data | In this paper we perform a reconstruction of the scalar field potential
responsible for cosmic acceleration using SNe Ia data. After describing the
method, we test it with real SNe Ia data-Union2.1 and JLA SNe datasets. We
demonstrate that with the current data precision level, the full reconstruction
is not possible. We discuss the problems which arise during the reconstruction
process and the ways to overcome them.
| astro-ph.CO | in this paper we perform a reconstruction of the scalar field potential responsible for cosmic acceleration using sne ia data after describing the method we test it with real sne ia dataunion21 and jla sne datasets we demonstrate that with the current data precision level the full reconstruction is not possible we discuss the problems which arise during the reconstruction process and the ways to overcome them | [['in', 'this', 'paper', 'we', 'perform', 'a', 'reconstruction', 'of', 'the', 'scalar', 'field', 'potential', 'responsible', 'for', 'cosmic', 'acceleration', 'using', 'sne', 'ia', 'data', 'after', 'describing', 'the', 'method', 'we', 'test', 'it', 'with', 'real', 'sne', 'ia', 'dataunion21', 'and', 'jla', 'sne', 'datasets', 'we', 'demonstrate', 'that', 'with', 'the', 'current', 'data', 'precision', 'level', 'the', 'full', 'reconstruction', 'is', 'not', 'possible', 'we', 'discuss', 'the', 'problems', 'which', 'arise', 'during', 'the', 'reconstruction', 'process', 'and', 'the', 'ways', 'to', 'overcome', 'them']] | [-0.04369682079237519, 0.028300415329409367, -0.03549297574455991, 0.11447804764537234, -0.1071096913762052, -0.10677363973985793, 0.054318483391508576, 0.39965154391459445, -0.2612596500213399, -0.30172791279795946, 0.07083787363213064, -0.29038140385157685, -0.1176964221804431, 0.2341814087703824, -0.0493808176622472, 0.01633923543109135, 0.1787935443166079, -0.05733552036778719, -0.10399956497183832, -0.3615446460828411, 0.35776982817685965, 0.08416804275475442, 0.3020264714617621, -0.018667910579648433, 0.1226722821346343, -0.06577169356133902, -0.0787732409997702, -0.006162348076362501, -0.16281339842669584, 0.07635190450431158, 0.21301058926407926, 0.2600869284378308, 0.19202921516967542, -0.4096955285887375, -0.2573367902113012, 0.182441465027461, 0.15962753759584192, 0.17687568061470907, -0.07322767095386305, -0.2893101590487993, 0.07846309961468885, -0.1398937412904519, -0.11493055025736491, -0.0535554829667407, -0.07256667643863086, 0.0017919028742295322, -0.27004133567926614, 0.16291013584387573, 0.007005819655729063, 0.014269449604784533, -0.07579843349980586, -0.04947552454629631, 0.04830846097320318, 0.06579857169311833, 0.08715908911924061, 0.01752531828551031, 0.04755678830075671, -0.15836483660281042, -0.08779653660409774, 0.431739911324147, -0.04658109414969769, -0.1027777344693966, 0.16538255747802783, -0.13906985107160202, -0.1300709948903232, 0.057719265153123575, 0.18413142354763817, 0.07301561421869944, -0.176615525375713, 0.049760505618795636, 0.07123172590791275, 0.10958261669359425, 0.01762752476232973, -0.01455721451731568, 0.19906714840820341, 0.1883563053314433, 0.012261281319131906, 0.06897490664392314, -0.21376297113205178, 0.03134180932697332, -0.3449514247194836, -0.13366722903976386, -0.16059609515253792, 0.053833629301207664, -0.12332079965915799, -0.14885014230667643, 0.4145162200103655, 0.20289832898980062, 0.20934340105194485, 0.02202749324461558, 0.34479935704307124, 0.07233933761546557, 0.09672284710474989, 0.07897364021857467, 0.2784355436240069, 0.10213295979227757, 0.14447314187771443, -0.22643759893958992, 0.026097779451502545, -0.004638171588973792] |
1,803.0188 | The Light Gluino Gap | A variety of experimental searches and theoretical efforts have constrained
gluinos that undergo an all-hadronic decay with no missing energy, as can arise
in R-parity violating or stealth supersymmetry. Although the gluino->jj decay
is robustly excluded, there is gap in current experimental coverage for gluinos
with masses between 51-76 GeV that decay into three light-flavor quarks. In
this work, we probe this gap with published multi-jet data from the UA2
experiment. Despite setting the strongest current limit on this region, we find
that UA2 data is unable to close this gap for gluino->jjj decays. In addition
to this three-jet gap, we note an additional gap for all-hadronic gluino -> n
parton decays with $n\geq 4$ for light gluinos (51 GeV < m < 300 GeV) not
covered by the current search program.
| hep-ph | a variety of experimental searches and theoretical efforts have constrained gluinos that undergo an allhadronic decay with no missing energy as can arise in rparity violating or stealth supersymmetry although the gluinojj decay is robustly excluded there is gap in current experimental coverage for gluinos with masses between 5176 gev that decay into three lightflavor quarks in this work we probe this gap with published multijet data from the ua2 experiment despite setting the strongest current limit on this region we find that ua2 data is unable to close this gap for gluinojjj decays in addition to this threejet gap we note an additional gap for allhadronic gluino n parton decays with ngeq 4 for light gluinos 51 gev m 300 gev not covered by the current search program | [['a', 'variety', 'of', 'experimental', 'searches', 'and', 'theoretical', 'efforts', 'have', 'constrained', 'gluinos', 'that', 'undergo', 'an', 'allhadronic', 'decay', 'with', 'no', 'missing', 'energy', 'as', 'can', 'arise', 'in', 'rparity', 'violating', 'or', 'stealth', 'supersymmetry', 'although', 'the', 'gluinojj', 'decay', 'is', 'robustly', 'excluded', 'there', 'is', 'gap', 'in', 'current', 'experimental', 'coverage', 'for', 'gluinos', 'with', 'masses', 'between', '5176', 'gev', 'that', 'decay', 'into', 'three', 'lightflavor', 'quarks', 'in', 'this', 'work', 'we', 'probe', 'this', 'gap', 'with', 'published', 'multijet', 'data', 'from', 'the', 'ua2', 'experiment', 'despite', 'setting', 'the', 'strongest', 'current', 'limit', 'on', 'this', 'region', 'we', 'find', 'that', 'ua2', 'data', 'is', 'unable', 'to', 'close', 'this', 'gap', 'for', 'gluinojjj', 'decays', 'in', 'addition', 'to', 'this', 'threejet', 'gap', 'we', 'note', 'an', 'additional', 'gap', 'for', 'allhadronic', 'gluino', 'n', 'parton', 'decays', 'with', 'ngeq', '4', 'for', 'light', 'gluinos', '51', 'gev', 'm', '300', 'gev', 'not', 'covered', 'by', 'the', 'current', 'search', 'program']] | [-0.08587819239945979, 0.2464504581392563, -0.02607326040513755, 0.18411257691996716, -0.0787181456382643, -0.16277050486157144, 0.0819650113465852, 0.37297950726090456, -0.17761993132106316, -0.3716864456811289, 0.03553936837101722, -0.3294210641930892, 0.04694059342659247, 0.143007289332257, 0.019669528546198602, 0.0826548453875062, 0.14472243952836225, -0.042268095904682564, -0.04324322645772454, -0.22563068856903185, 0.2700005231854161, 0.009708775707894541, 0.15982951062427114, 0.14996200339780666, -0.03631931238103746, -0.005556581052401521, -0.006324946777675096, -0.09596953125978548, -0.16469745038669165, 0.06131447008700939, 0.2641330778628118, 0.08982371370029438, 0.1287982627808109, -0.3312845828587292, -0.11599974544704195, 0.20654819570995103, 0.1946804865930728, 0.06758781762309665, -0.1110568962318412, -0.3247314589611423, 0.14509009176087895, -0.21212156287827125, -0.06382479719216312, -0.04154221982123169, -0.018755002383612038, -0.13037841648457382, -0.2977265176825284, 0.10144096367633132, -0.016262203498970805, 0.025143104535710857, 0.0009274903472190298, -0.2027381205432645, -0.05309793795275641, -0.0017791810100824814, 0.1570874423734609, 0.07871581765082408, 0.12943771425414624, -0.14878832229310426, -0.19950136249081973, 0.3335167659285266, -0.07958715569638596, -0.14951026383567395, 0.20703716912695508, -0.166331059966735, -0.18848819049867235, 0.19215482361541372, 0.19666286010485817, 0.05756984294142838, -0.18781105266135978, 0.1553157233907181, -0.05567394219720223, 0.21863105239375957, 0.0714899996610901, 0.06880676074917831, 0.2595074287960379, 0.2481904140156584, 0.07565940116664145, 0.056422496016511295, -0.10175623428021506, -0.050930840933079445, -0.42162371263655973, -0.07838067822992494, -0.1147548258744591, 0.06478050427878455, -0.0011346490558018674, -0.05821984127075888, 0.3477486939285538, 0.126709078009585, 0.2658740978020676, 0.06335563934224797, 0.28191872517482974, 0.051903133268658745, 0.09338009350119143, 0.10204757480170783, 0.3605312168246179, 0.06834758540036112, 0.17431738464836413, -0.1763012878886446, -0.035503602139358444, -0.026438761319173134] |
1,803.01881 | On graph products of multipliers and the Haagerup property for
$C^*$-dynamical systems | We consider the notion of the graph product of actions of groups
$\left\{G_v\right\}$ on a $C^*$-algebra $\mathcal{A}$ and show that under
suitable commutativity conditions the graph product action $\bigstar_\Gamma
\alpha_v: \bigstar_\Gamma G_v \curvearrowright \mathcal{A}$ has the Haagerup
property if each action $\alpha_v: G_v \curvearrowright \mathcal{A}$ possesses
the Haagerup property. This generalizes the known results on graph products of
groups with the Haagerup property. To accomplish this, we introduce the graph
product of multipliers associated to the actions and show that the graph
product of positive definite multipliers is positive definite. These results
have impacts on left transformation groupoids and give an alternative proof of
a known result for coarse embeddability. We also record a cohomological
characterization of the Haagerup property for group actions.
| math.OA math.DS | we consider the notion of the graph product of actions of groups leftg_vright on a calgebra mathcala and show that under suitable commutativity conditions the graph product action bigstar_gamma alpha_v bigstar_gamma g_v curvearrowright mathcala has the haagerup property if each action alpha_v g_v curvearrowright mathcala possesses the haagerup property this generalizes the known results on graph products of groups with the haagerup property to accomplish this we introduce the graph product of multipliers associated to the actions and show that the graph product of positive definite multipliers is positive definite these results have impacts on left transformation groupoids and give an alternative proof of a known result for coarse embeddability we also record a cohomological characterization of the haagerup property for group actions | [['we', 'consider', 'the', 'notion', 'of', 'the', 'graph', 'product', 'of', 'actions', 'of', 'groups', 'leftg_vright', 'on', 'a', 'calgebra', 'mathcala', 'and', 'show', 'that', 'under', 'suitable', 'commutativity', 'conditions', 'the', 'graph', 'product', 'action', 'bigstar_gamma', 'alpha_v', 'bigstar_gamma', 'g_v', 'curvearrowright', 'mathcala', 'has', 'the', 'haagerup', 'property', 'if', 'each', 'action', 'alpha_v', 'g_v', 'curvearrowright', 'mathcala', 'possesses', 'the', 'haagerup', 'property', 'this', 'generalizes', 'the', 'known', 'results', 'on', 'graph', 'products', 'of', 'groups', 'with', 'the', 'haagerup', 'property', 'to', 'accomplish', 'this', 'we', 'introduce', 'the', 'graph', 'product', 'of', 'multipliers', 'associated', 'to', 'the', 'actions', 'and', 'show', 'that', 'the', 'graph', 'product', 'of', 'positive', 'definite', 'multipliers', 'is', 'positive', 'definite', 'these', 'results', 'have', 'impacts', 'on', 'left', 'transformation', 'groupoids', 'and', 'give', 'an', 'alternative', 'proof', 'of', 'a', 'known', 'result', 'for', 'coarse', 'embeddability', 'we', 'also', 'record', 'a', 'cohomological', 'characterization', 'of', 'the', 'haagerup', 'property', 'for', 'group', 'actions']] | [-0.17616436207899824, 0.10923922915353615, -0.10836236694594845, 0.016243151679130582, -0.12302297246448385, -0.11209164750374233, -0.010623782993934582, 0.4150292148580775, -0.338062197160131, -0.17468202858387183, 0.11356537847605068, -0.24763512757296363, -0.13217695569813562, 0.13615428063785656, -0.1649952780843402, -0.04153360615794857, 0.11065734579072645, 0.18121252965647727, -0.1046419528623422, -0.23169783247309775, 0.4317769491055515, -0.03414343541953713, 0.22731498586169133, 0.09116088781108071, 0.15105316799599677, 0.027872090332675726, -0.01821559960953891, 0.006573926114166777, -0.14187871752910725, 0.07347743566303204, 0.21196340823856494, 0.12041594128349971, 0.2528461979236454, -0.32858431319861364, -0.10358610545517877, 0.20449632651288993, 0.05790101561772947, -0.06334647881061149, -0.07350559718615841, -0.35997962785574295, 0.12121465524930196, -0.23833194932279486, -0.06735292519636762, -0.10855673792151113, 0.05954727353528142, -0.06092789298466717, -0.2982219171167041, -0.023897681303939558, 0.15020596517327553, 0.059047213514956336, -0.0927861555867518, -0.11256303879587601, -0.038207440045274176, 0.1375308135485587, -0.0028777268472670887, 0.009609659761190414, 0.12228051103884355, -0.037621131488898146, -0.15442108660548304, 0.38450797914216917, -0.047628894456041355, -0.2185069752080987, 0.15710818014728525, -0.19273107960664979, -0.25607370054519074, 0.07662234075833112, 0.05643009745981544, 0.13937203682338198, -0.039174787257798015, 0.2015490477734905, -0.17247471455484628, 0.0715571061319982, 0.08313965254928916, 0.06100898052876194, 0.03145380263449624, 0.05691448242481177, 0.18069351980811915, 0.14950309468986234, 0.1166651009596535, 0.06298097841984902, -0.3032508643984329, -0.20048379742074757, -0.13768151953505972, 0.1544535458010311, -0.13893282210495575, -0.22520285175414756, 0.40567403982083, 0.10615137837982426, 0.1252161139079059, 0.14964849986912063, 0.20297152459000548, 0.061710756823110086, 0.09293225373063857, 0.062494953578182806, 0.1276808194971333, 0.2868594622860352, -0.05579603878237928, -0.14687110888383662, 0.036608320666709916, 0.256244526260222] |
1,803.01882 | Implicit representation conjecture for semi-algebraic graphs | The implicit representation conjecture concerns hereditary families of
graphs. Given a graph in such a family, we want to assign some string of bits
to each vertex in such a way that we can recover the information about whether
2 vertices are connected or not using only the 2 strings of bits associated
with those two vertices. We then want to minimise the length of this string.
The conjecture states that if the family is hereditary and small enough (it
only has $2^{O(n\ln(n))}$ graphs of size $n$), then $O(\ln(n))$ bits per vertex
should be sufficient. The trivial bounds on this problem are that: (1) some
families require at least $\ln_2(n)$ bits per vertex ; (2) $(n-1)/2+\ln_2(n)$
bits per vertex are sufficient for all families.
In this paper, we will be talking about a special case of the implicit
representation conjecture, where the family is semi-algebraic (which roughly
means that the vertices are points in some euclidean space, and the edges are
defined geometrically, or according to some polynomials). We will first prove
that the `obvious' way of storing the information, where we store an
approximation of the coordinates of each vertex, doesn't work. Then we will
come up with a way of storing the information that requires $O(n^{1-\epsilon})$
bits per vertex, where $\epsilon$ is some small constant depending only on the
family. This is a slight improvement over the trivial bound, but is still a
long way from proving the conjecture.
| math.CO | the implicit representation conjecture concerns hereditary families of graphs given a graph in such a family we want to assign some string of bits to each vertex in such a way that we can recover the information about whether 2 vertices are connected or not using only the 2 strings of bits associated with those two vertices we then want to minimise the length of this string the conjecture states that if the family is hereditary and small enough it only has 2onlnn graphs of size n then olnn bits per vertex should be sufficient the trivial bounds on this problem are that 1 some families require at least ln_2n bits per vertex 2 n12ln_2n bits per vertex are sufficient for all families in this paper we will be talking about a special case of the implicit representation conjecture where the family is semialgebraic which roughly means that the vertices are points in some euclidean space and the edges are defined geometrically or according to some polynomials we will first prove that the obvious way of storing the information where we store an approximation of the coordinates of each vertex doesnt work then we will come up with a way of storing the information that requires on1epsilon bits per vertex where epsilon is some small constant depending only on the family this is a slight improvement over the trivial bound but is still a long way from proving the conjecture | [['the', 'implicit', 'representation', 'conjecture', 'concerns', 'hereditary', 'families', 'of', 'graphs', 'given', 'a', 'graph', 'in', 'such', 'a', 'family', 'we', 'want', 'to', 'assign', 'some', 'string', 'of', 'bits', 'to', 'each', 'vertex', 'in', 'such', 'a', 'way', 'that', 'we', 'can', 'recover', 'the', 'information', 'about', 'whether', '2', 'vertices', 'are', 'connected', 'or', 'not', 'using', 'only', 'the', '2', 'strings', 'of', 'bits', 'associated', 'with', 'those', 'two', 'vertices', 'we', 'then', 'want', 'to', 'minimise', 'the', 'length', 'of', 'this', 'string', 'the', 'conjecture', 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'an', 'approximation', 'of', 'the', 'coordinates', 'of', 'each', 'vertex', 'doesnt', 'work', 'then', 'we', 'will', 'come', 'up', 'with', 'a', 'way', 'of', 'storing', 'the', 'information', 'that', 'requires', 'on1epsilon', 'bits', 'per', 'vertex', 'where', 'epsilon', 'is', 'some', 'small', 'constant', 'depending', 'only', 'on', 'the', 'family', 'this', 'is', 'a', 'slight', 'improvement', 'over', 'the', 'trivial', 'bound', 'but', 'is', 'still', 'a', 'long', 'way', 'from', 'proving', 'the', 'conjecture']] | [-0.15233267436964265, 0.1394226666445228, -0.04549863539981942, 0.049274330180657064, -0.11477126440874258, -0.17479699508793936, 0.07352155248608974, 0.35991840831196636, -0.30203007086757805, -0.3063400499011834, 0.10408735013948085, -0.32853967799482875, -0.12125151430085726, 0.13270090004617843, -0.12096938319928661, 0.0022318746426971906, 0.07123465800092002, 0.14860406315017036, -0.04567897943819123, -0.3434006274951168, 0.32502561449888656, -0.020750997273667957, 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1,803.01883 | Graphene mechanical pixels for Interferometric MOdulator Displays
(GIMOD) | Graphene, the carbon monolayer and 2D allotrope of graphite, has the
potential to impact technology with a wide range of applications such as
optical modulators for high-speed communications. In contrast to modulation
devices that rely on plasmonic or electronic effects, MEMS-based modulators can
have wider tuning ranges albeit at a lower operating frequency. These
properties make electro-optic mechanical modulators ideal for reflective-type
display technologies as has been demonstrated previously with SiN membranes in
Interferometric MOdulator Displays (IMODs). Despite their low-power consumption
and performance in bright environments, IMODs suffer from low frame rates and
limited color gamut. Double-layer graphene (DLG) membranes grown by chemical
vapor deposition (CVD) can also recreate the interference effect like in IMODs
as proven with drumheads displaying Newton's rings. Here, we report on the
electro-optical response of CVD DLG mechanical pixels by measuring the change
in wavelength-dependent reflectance of a suspended graphene drumhead as a
function of electrical gating. We use a spectrometer to measure the wavelength
spectrum at different voltages, and find a good agreement with a model based on
light interference. Moreover, to verify that gas compression effects do not
play an important role, we use a stroboscopic illumination technique to study
the electro-optic response of these graphene pixels at frequencies up to 400
Hz. Based on these findings, we demonstrate a continuous full-spectrum
reflective-type pixel technology with a Graphene Interferometric MOdulator
Display (GIMOD) prototype of 2500 pixels per inch (ppi) equivalent to more than
12K resolution.
| physics.app-ph | graphene the carbon monolayer and 2d allotrope of graphite has the potential to impact technology with a wide range of applications such as optical modulators for highspeed communications in contrast to modulation devices that rely on plasmonic or electronic effects memsbased modulators can have wider tuning ranges albeit at a lower operating frequency these properties make electrooptic mechanical modulators ideal for reflectivetype display technologies as has been demonstrated previously with sin membranes in interferometric modulator displays imods despite their lowpower consumption and performance in bright environments imods suffer from low frame rates and limited color gamut doublelayer graphene dlg membranes grown by chemical vapor deposition cvd can also recreate the interference effect like in imods as proven with drumheads displaying newtons rings here we report on the electrooptical response of cvd dlg mechanical pixels by measuring the change in wavelengthdependent reflectance of a suspended graphene drumhead as a function of electrical gating we use a spectrometer to measure the wavelength spectrum at different voltages and find a good agreement with a model based on light interference moreover to verify that gas compression effects do not play an important role we use a stroboscopic illumination technique to study the electrooptic response of these graphene pixels at frequencies up to 400 hz based on these findings we demonstrate a continuous fullspectrum reflectivetype pixel technology with a graphene interferometric modulator display gimod prototype of 2500 pixels per inch ppi equivalent to more than 12k resolution | [['graphene', 'the', 'carbon', 'monolayer', 'and', '2d', 'allotrope', 'of', 'graphite', 'has', 'the', 'potential', 'to', 'impact', 'technology', 'with', 'a', 'wide', 'range', 'of', 'applications', 'such', 'as', 'optical', 'modulators', 'for', 'highspeed', 'communications', 'in', 'contrast', 'to', 'modulation', 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1,803.01884 | Cauchy data spaces and Atiyah-Patodi-Singer index on non-compact
manifolds | We study the Cauchy data spaces of the strongly Callias-type operators using
maximal domain on manifolds with non-compact boundary, with the aim of
understanding the Atiyah-Patodi-Singer index and elliptic boundary value
problems.
| math.DG | we study the cauchy data spaces of the strongly calliastype operators using maximal domain on manifolds with noncompact boundary with the aim of understanding the atiyahpatodisinger index and elliptic boundary value problems | [['we', 'study', 'the', 'cauchy', 'data', 'spaces', 'of', 'the', 'strongly', 'calliastype', 'operators', 'using', 'maximal', 'domain', 'on', 'manifolds', 'with', 'noncompact', 'boundary', 'with', 'the', 'aim', 'of', 'understanding', 'the', 'atiyahpatodisinger', 'index', 'and', 'elliptic', 'boundary', 'value', 'problems']] | [-0.16392360831378028, 0.06778894006856717, -0.08161035098601133, 0.07050037081353366, -0.15906054701918038, -0.1123957674135454, -0.06229567143600434, 0.32864503061864525, -0.24728645931463689, -0.24031883632414974, 0.2871844890032662, -0.32915335379948374, -0.10371301345003303, 0.1854099946503993, -0.18025708361528814, 0.1268060514703393, 0.11266413616249338, 0.055162090982776135, -0.1359884051780682, -0.1826604069210589, 0.5962519657477969, -0.08582617563661188, 0.274467668030411, 0.1384430795442313, 0.019422267974732677, 0.024437506828689948, -0.06280101207084954, -0.006079597820644267, -0.21348017781565432, 0.21276121816481464, 0.2634005549698486, -0.008966449022409506, 0.21807380468817428, -0.39120124629698694, -0.22059720431570895, 0.20710524159949273, 0.07521228317636997, -0.08063090074574575, -0.001056018278177362, -0.31802696525119245, 0.038648714078590274, -0.040348575661482755, -0.2459077483508736, -0.01032565386412898, -0.03242310421774164, -0.019264471433416475, -0.2624492476461455, 0.06354085075145122, 0.05588983988855034, 0.09197457673144527, -0.205440103483852, -0.08351661369670182, -0.06589988234918565, 0.06511288590263575, 0.055656696858932264, 0.017174185610201675, 0.05153589406108949, -0.11006764942430891, -0.13842458429280668, 0.32597595057450235, -0.0767876117315609, -0.3035446177236736, 0.12834953819401562, -0.2135202471690718, -0.07424189540324733, 0.04415746654558461, 0.177569147082977, 0.22108803852461278, -0.06497387832496315, 0.16194206679028866, -0.060351880463713314, 0.12056237633805722, 0.05869015824282542, -0.030581331171561033, 0.09755987842800096, 0.14315004875243176, 0.18744855263503268, 0.16674118308583274, 0.02668609248212306, -0.07270816344498598, -0.3744989570695907, -0.149133279803209, -0.13113678933586925, 0.11567414613091387, -0.20381396870607205, -0.22888437705114484, 0.40449068741872907, 0.053771153150592, 0.1852607051259838, 0.08672856888733804, 0.16873519543059956, 0.13582301788846962, 0.016742509382311255, 0.12513923668302596, 0.08971167699201033, 0.22272791393334046, 0.1420162677677581, -0.24138325537205674, -0.07845347272814251, 0.23138709479826503] |
1,803.01885 | Optimal Sensor Collaboration for Parameter Tracking Using Energy
Harvesting Sensors | In this paper, we design an optimal sensor collaboration strategy among
neighboring nodes while tracking a time-varying parameter using wireless sensor
networks in the presence of imperfect communication channels. The sensor
network is assumed to be self-powered, where sensors are equipped with energy
harvesters that replenish energy from the environment. In order to minimize the
mean square estimation error of parameter tracking, we propose an online sensor
collaboration policy subject to real-time energy harvesting constraints. The
proposed energy allocation strategy is computationally light and only relies on
the second-order statistics of the system parameters. For this, we first
consider an offline non-convex optimization problem, which is solved exactly
using semidefinite programming. Based on the offline solution, we design an
online power allocation policy that requires minimal online computation and
satisfies the dynamics of energy flow at each sensor. We prove that the
proposed online policy is asymptotically equivalent to the optimal offline
solution and show its convergence rate and robustness. We empirically show that
the estimation performance of the proposed online scheme is better than that of
the online scheme when channel state information about the dynamical system is
available in the low SNR regime. Numerical results are conducted to demonstrate
the effectiveness of our approach.
| eess.SP | in this paper we design an optimal sensor collaboration strategy among neighboring nodes while tracking a timevarying parameter using wireless sensor networks in the presence of imperfect communication channels the sensor network is assumed to be selfpowered where sensors are equipped with energy harvesters that replenish energy from the environment in order to minimize the mean square estimation error of parameter tracking we propose an online sensor collaboration policy subject to realtime energy harvesting constraints the proposed energy allocation strategy is computationally light and only relies on the secondorder statistics of the system parameters for this we first consider an offline nonconvex optimization problem which is solved exactly using semidefinite programming based on the offline solution we design an online power allocation policy that requires minimal online computation and satisfies the dynamics of energy flow at each sensor we prove that the proposed online policy is asymptotically equivalent to the optimal offline solution and show its convergence rate and robustness we empirically show that the estimation performance of the proposed online scheme is better than that of the online scheme when channel state information about the dynamical system is available in the low snr regime numerical results are conducted to demonstrate the effectiveness of our approach | [['in', 'this', 'paper', 'we', 'design', 'an', 'optimal', 'sensor', 'collaboration', 'strategy', 'among', 'neighboring', 'nodes', 'while', 'tracking', 'a', 'timevarying', 'parameter', 'using', 'wireless', 'sensor', 'networks', 'in', 'the', 'presence', 'of', 'imperfect', 'communication', 'channels', 'the', 'sensor', 'network', 'is', 'assumed', 'to', 'be', 'selfpowered', 'where', 'sensors', 'are', 'equipped', 'with', 'energy', 'harvesters', 'that', 'replenish', 'energy', 'from', 'the', 'environment', 'in', 'order', 'to', 'minimize', 'the', 'mean', 'square', 'estimation', 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1,803.01886 | Near-infrared scintillation of liquid argon: recent results obtained
with the NIR facility at Fermilab | After a short review of previous attempts to observe and measure the
near-infrared scintillation in liquid argon, we present new results obtained
with NIR, a dedicated cryostat at the Fermilab Proton Assembly Building (PAB).
The new results give confidence that the near-infrared light can be used as the
much needed light signal in large liquid argon time projection chambers.11
pages,
| physics.ins-det hep-ex | after a short review of previous attempts to observe and measure the nearinfrared scintillation in liquid argon we present new results obtained with nir a dedicated cryostat at the fermilab proton assembly building pab the new results give confidence that the nearinfrared light can be used as the much needed light signal in large liquid argon time projection chambers11 pages | [['after', 'a', 'short', 'review', 'of', 'previous', 'attempts', 'to', 'observe', 'and', 'measure', 'the', 'nearinfrared', 'scintillation', 'in', 'liquid', 'argon', 'we', 'present', 'new', 'results', 'obtained', 'with', 'nir', 'a', 'dedicated', 'cryostat', 'at', 'the', 'fermilab', 'proton', 'assembly', 'building', 'pab', 'the', 'new', 'results', 'give', 'confidence', 'that', 'the', 'nearinfrared', 'light', 'can', 'be', 'used', 'as', 'the', 'much', 'needed', 'light', 'signal', 'in', 'large', 'liquid', 'argon', 'time', 'projection', 'chambers11', 'pages']] | [0.016056027330489733, 0.20765617732905736, -0.13891269000625964, 0.04103790916565616, -0.059554522604507915, -0.14249126190394637, 0.06974390063876823, 0.40695248809406315, -0.18061979972141778, -0.3140193578645082, 0.09835732562893654, -0.2870837352080744, -0.026270938275571344, 0.21584658098991139, -0.07734684968146227, 0.058223628675786114, 0.09505947388834872, -0.06972517177336297, -0.07768857526056216, -0.2749545012237662, 0.14948272323078018, 0.09261018080415867, 0.24330824596207526, 0.08446171014743337, 0.10860353963986291, -0.011947692095665104, -0.12017185671917968, -0.06728810509587875, -0.1562761527105576, 0.04821921013674493, 0.3178735526862665, 0.1164931744589644, 0.1695839234201585, -0.48742669864983884, -0.15724719607002907, 0.08211650676488624, 0.09091617006776949, 0.09283563041254499, -0.11037425147527355, -0.2786286493163493, 0.018902219216323506, -0.151995241357866, -0.15378277766186807, 0.0015325329298058808, -0.014498366548095718, 0.04476732190726009, -0.19822977816536075, -0.016311032255574807, -0.004672368041287034, 0.07120411462639853, -0.031343583412215874, -0.155493515954053, 0.06264409166366114, 0.06725274552038665, 0.003340788643365189, 0.10056479606714289, 0.1646156195566942, -0.0882922308302437, -0.06995908849699012, 0.3496919645280656, -0.17666919014053578, -0.048916711235197925, 0.19624054768138519, -0.200997052145964, -0.10332811331786847, 0.20515035705293638, 0.18360690055888587, 0.11573704047980955, -0.20721387701164298, -0.0220658735034719, -0.0542806927351502, 0.23648963174072363, 0.05833121768782957, 0.07989288005441175, 0.24178324453532696, 0.24601627990477165, 0.05659012183925863, 0.1200291458418656, -0.2229659691200418, 0.032918702400589396, -0.33825772468758336, -0.1773153300381313, -0.121651150696611, 0.040903289802372456, -0.022064568896894343, -0.0700707722423693, 0.41562375284226266, 0.14076083950635235, 0.16614929090995909, 0.05202886867100152, 0.3278693967830327, 0.016452876107088465, 0.08826173874164805, 0.005296987887882328, 0.2930104308998433, 0.09102092857186, 0.19090282137237363, -0.19926608948952565, 0.03102145362566462, 0.0505702055012018] |
1,803.01887 | Realistic Compactification Models in Einstein-Gauss-Bonnet Gravity | We report the results of a study on the dynamical compactification of
spatially flat cosmological models in Einstein-Gauss-Bonnet gravity. The
analysis was performed in the arbitrary dimension in order to be more general.
We consider both vacuum and $\Lambda$-term cases. Our results suggest that for
vacuum case, realistic compactification into the Kasner (power law) regime
occurs with any number of dimensions ($D$), while the compactification into the
exponential solution occurs only for $D \geqslant 2$. For the $\Lambda$-term
case only compactification into the exponential solution exists, and it only
occurs for $D \geqslant 2$ as well. Our results, combined with the bounds on
Gauss-Bonnet coupling and the $\Lambda$-term ($\alpha, \Lambda$, respectively)
from other considerations, allow for the tightening of the existing constraints
and forbid $\alpha < 0$.
| hep-th astro-ph.CO gr-qc | we report the results of a study on the dynamical compactification of spatially flat cosmological models in einsteingaussbonnet gravity the analysis was performed in the arbitrary dimension in order to be more general we consider both vacuum and lambdaterm cases our results suggest that for vacuum case realistic compactification into the kasner power law regime occurs with any number of dimensions d while the compactification into the exponential solution occurs only for d geqslant 2 for the lambdaterm case only compactification into the exponential solution exists and it only occurs for d geqslant 2 as well our results combined with the bounds on gaussbonnet coupling and the lambdaterm alpha lambda respectively from other considerations allow for the tightening of the existing constraints and forbid alpha 0 | [['we', 'report', 'the', 'results', 'of', 'a', 'study', 'on', 'the', 'dynamical', 'compactification', 'of', 'spatially', 'flat', 'cosmological', 'models', 'in', 'einsteingaussbonnet', 'gravity', 'the', 'analysis', 'was', 'performed', 'in', 'the', 'arbitrary', 'dimension', 'in', 'order', 'to', 'be', 'more', 'general', 'we', 'consider', 'both', 'vacuum', 'and', 'lambdaterm', 'cases', 'our', 'results', 'suggest', 'that', 'for', 'vacuum', 'case', 'realistic', 'compactification', 'into', 'the', 'kasner', 'power', 'law', 'regime', 'occurs', 'with', 'any', 'number', 'of', 'dimensions', 'd', 'while', 'the', 'compactification', 'into', 'the', 'exponential', 'solution', 'occurs', 'only', 'for', 'd', 'geqslant', '2', 'for', 'the', 'lambdaterm', 'case', 'only', 'compactification', 'into', 'the', 'exponential', 'solution', 'exists', 'and', 'it', 'only', 'occurs', 'for', 'd', 'geqslant', '2', 'as', 'well', 'our', 'results', 'combined', 'with', 'the', 'bounds', 'on', 'gaussbonnet', 'coupling', 'and', 'the', 'lambdaterm', 'alpha', 'lambda', 'respectively', 'from', 'other', 'considerations', 'allow', 'for', 'the', 'tightening', 'of', 'the', 'existing', 'constraints', 'and', 'forbid', 'alpha', '0']] | [-0.15430405179670612, 0.11774482675236723, -0.04040054222088425, 0.06987578386721748, -0.06023501276245548, -0.21594546444156015, 0.015269639125714699, 0.28463272079234087, -0.18359009550869584, -0.28283823983252254, 0.11090417905610853, -0.26502776412027224, -0.08217138248229665, 0.2071116498804518, 0.0036188074284129674, -0.0046395643185528496, -0.0023693361038726476, 0.051483684579753095, -0.03456778950538368, -0.2602527249209021, 0.37183008373840637, -0.002230483942502548, 0.21718756243261317, 0.04208079599479716, 0.07634407995889585, -0.03567615292951583, -0.001777511415263963, 0.04512888822799661, -0.20769457732141802, 0.04321259137895328, 0.18728676820599446, 0.10910504007719397, 0.19689322084868474, -0.4002603068652134, -0.24318805975573404, 0.11869750693366522, 0.14417920382102095, 0.1176180721774313, -0.01098415670449391, -0.26155058047290713, 0.09321146243619585, -0.14605761807234513, -0.152758572487131, -0.06572036686102076, 0.05473425005754781, -0.06069908043718897, -0.31879724714431973, 0.07782586784072457, 0.10672515305105619, -0.02129819958160321, -0.10819290133769668, -0.11518699513463718, -0.01327538802029772, 0.06561920811728915, 0.10425323149141309, 0.03070990194470459, 0.058906121982357625, -0.13457588834081968, -0.07872651219146237, 0.38478628349017413, -0.11805169545446656, -0.20465534913634498, 0.1524999559605642, -0.20099344550971948, -0.14003386661513811, 0.09798788975569464, 0.11570384810190826, 0.17143946457110273, -0.014217311989456888, 0.21794406456008023, -0.005463043709159903, 0.20052739022861396, 0.10918552961407436, 0.012469617777877294, 0.1735206622157305, 0.14624515756787287, 0.0735121264504934, 0.1185656293080048, -0.04511864651881513, -0.08028134199631741, -0.3805034207697544, -0.14002148138861809, -0.1345758564430215, 0.10192928371474236, -0.1976039368499418, -0.11742430479202923, 0.3345273804281735, 0.0923265864322376, 0.19187734137466622, 0.10292586809881622, 0.23891318643683687, 0.07918415383513396, 0.03056284407013288, 0.07034202797986504, 0.25419185495388413, 0.0760213142327432, 0.07334195038983746, -0.19481279037242372, -0.016570307591575243, 0.07129939547592094] |
1,803.01888 | Fluid sensitive nanoscale switching with quantum levitation controlled
by $\alpha$-Sn/$\beta$-Sn phase transition | We analyse the Lifshitz pressure between silica and tin separated by a liquid
mixture of bromobenzene and chlorobenzene. We show that the phase transition
from semimetallic $\alpha$-Sn to metallic $\beta$-Sn can switch Lifshitz forces
from repulsive to attractive. This effect is caused by the difference in
dielectric functions of $\alpha$-Sn and $\beta$-Sn, giving both attractive and
repulsive contributions to the total Lifshitz pressure at different frequency
regions controlled by the composition of the intervening liquid mixture. In
this way, one may be able to produce phase transition-controlled quantum
levitation in liquid medium.
| cond-mat.other cond-mat.mes-hall | we analyse the lifshitz pressure between silica and tin separated by a liquid mixture of bromobenzene and chlorobenzene we show that the phase transition from semimetallic alphasn to metallic betasn can switch lifshitz forces from repulsive to attractive this effect is caused by the difference in dielectric functions of alphasn and betasn giving both attractive and repulsive contributions to the total lifshitz pressure at different frequency regions controlled by the composition of the intervening liquid mixture in this way one may be able to produce phase transitioncontrolled quantum levitation in liquid medium | [['we', 'analyse', 'the', 'lifshitz', 'pressure', 'between', 'silica', 'and', 'tin', 'separated', 'by', 'a', 'liquid', 'mixture', 'of', 'bromobenzene', 'and', 'chlorobenzene', 'we', 'show', 'that', 'the', 'phase', 'transition', 'from', 'semimetallic', 'alphasn', 'to', 'metallic', 'betasn', 'can', 'switch', 'lifshitz', 'forces', 'from', 'repulsive', 'to', 'attractive', 'this', 'effect', 'is', 'caused', 'by', 'the', 'difference', 'in', 'dielectric', 'functions', 'of', 'alphasn', 'and', 'betasn', 'giving', 'both', 'attractive', 'and', 'repulsive', 'contributions', 'to', 'the', 'total', 'lifshitz', 'pressure', 'at', 'different', 'frequency', 'regions', 'controlled', 'by', 'the', 'composition', 'of', 'the', 'intervening', 'liquid', 'mixture', 'in', 'this', 'way', 'one', 'may', 'be', 'able', 'to', 'produce', 'phase', 'transitioncontrolled', 'quantum', 'levitation', 'in', 'liquid', 'medium']] | [-0.11097138808626268, 0.2627974211755726, -0.09719358226801786, -0.0054366925795976484, -0.0018861803200302851, -0.1815421373428156, 0.10034856467973441, 0.404630998439259, -0.2692448515031073, -0.2909161703661084, -0.018892682580432543, -0.3332126212409801, -0.14110514621974693, 0.09456154062516159, 0.017851036983645624, -0.0028383330780747604, -0.1278221056964766, -0.0900652804515428, -0.12749827712929498, -0.16624606947104137, 0.32519312790698474, 0.009336964872717443, 0.2676527027868562, 0.10715692583471537, 0.037243520460712415, -0.056517944267640514, 0.10771841489089032, 0.04689214448444545, -0.15069828724218598, 3.7225889455940985e-05, 0.2736177307036188, -0.11719897801263465, 0.18681483757682144, -0.44282319392595026, -0.2298000974373685, 0.07009453572746781, 0.09988360555790779, 0.11163330137108764, -0.09075818569916817, -0.3441576852773627, 0.007571512119223674, -0.15735371481924731, -0.14157591136689815, -0.06868122627751695, -0.0004320944995722837, -0.0021550472835466885, -0.22125518068464267, 0.1109115347887079, 0.05192430538461647, 0.00799814984202385, -0.10830725168084933, -0.10136507620724539, -0.05046205154568371, 0.08129680245183409, 0.04522667527974893, 0.031311678493188486, 0.20376496330524485, -0.11537931933740361, -0.01098204602797826, 0.3863468771489958, -0.10145081578391707, -0.10037553339110067, 0.2557221863289467, -0.1619895620840705, 0.01088016033690009, 0.23124773909027377, 0.15234644568214814, 0.04240422268533924, -0.14102737585263742, 0.013854973367415369, 0.05106146417351232, 0.18852354178412092, 0.10639996683845918, -0.005607773451548483, 0.28636479929296504, 0.1624157035826809, 0.014662257374988661, 0.21022953464934188, -0.07835231142429014, -0.06983504976249404, -0.24446228287286229, -0.18044651057571173, -0.19363294806745318, 0.02937292389364706, -0.1002046630193945, -0.19761134674255218, 0.3194669137398402, 0.11742679542059907, 0.1547029564053648, -0.05452746740645832, 0.2508645500625587, 0.0427759338894652, 0.06373904615951081, 0.022303668551871346, 0.3062417358987861, 0.10985748977659063, 0.09502686920265356, -0.26395074888132514, 0.062145695669783486, 0.04304312429287367] |
1,803.01889 | On the structure of solutions for general hyperbolic systems of balance
laws | The paper describes the qualitative structure of BV entropy solutions of a
strictly hyperbolic system of balance laws with characteristic fields either
piecewise genuinely nonlinear or linearly degenerate. In particular, we provide
an accurate description of the local and global wave-front structure of a BV
solution generated by a fractional step scheme combined with a wave-front
tracking algorithm. This extends the corresponding results by Binahcini and Yu
for strictly hyperbolic systems of conservation laws.
| math.AP | the paper describes the qualitative structure of bv entropy solutions of a strictly hyperbolic system of balance laws with characteristic fields either piecewise genuinely nonlinear or linearly degenerate in particular we provide an accurate description of the local and global wavefront structure of a bv solution generated by a fractional step scheme combined with a wavefront tracking algorithm this extends the corresponding results by binahcini and yu for strictly hyperbolic systems of conservation laws | [['the', 'paper', 'describes', 'the', 'qualitative', 'structure', 'of', 'bv', 'entropy', 'solutions', 'of', 'a', 'strictly', 'hyperbolic', 'system', 'of', 'balance', 'laws', 'with', 'characteristic', 'fields', 'either', 'piecewise', 'genuinely', 'nonlinear', 'or', 'linearly', 'degenerate', 'in', 'particular', 'we', 'provide', 'an', 'accurate', 'description', 'of', 'the', 'local', 'and', 'global', 'wavefront', 'structure', 'of', 'a', 'bv', 'solution', 'generated', 'by', 'a', 'fractional', 'step', 'scheme', 'combined', 'with', 'a', 'wavefront', 'tracking', 'algorithm', 'this', 'extends', 'the', 'corresponding', 'results', 'by', 'binahcini', 'and', 'yu', 'for', 'strictly', 'hyperbolic', 'systems', 'of', 'conservation', 'laws']] | [-0.15252859405662916, 0.07524370650018482, -0.12074488514598956, 0.03185952409674503, -0.04787212221130525, -0.15202386499931142, 0.0016719210168908108, 0.3222584018917525, -0.30478899020778194, -0.2519315253777353, 0.09323034994144708, -0.24679798283295273, -0.16529717754368503, 0.19870821440956007, -0.10797940944767978, 0.11452218581450312, 0.04480756993392763, -0.0035037384109335556, -0.09340624760657754, -0.18923290663921874, 0.36871072440727115, -0.010606359384239537, 0.24966875158811677, -0.0391338934216087, 0.16961086720024068, -0.0003394714384403539, -0.07114386423299573, 0.09048234821099482, -0.14492271095514297, 0.16465099755521506, 0.1812739268149415, 0.07753605671124915, 0.26533187673848174, -0.3897994104517649, -0.22343407257472817, 0.07192975345182501, 0.11866273561632898, 0.0961065087467432, -0.08313121260398973, -0.2695594773538513, 0.0800041348533067, -0.12354737884454327, -0.21977003071814366, -0.08898581882096725, 0.003408208801985195, 0.07279499734381903, -0.28400985431085557, 0.11871688367084485, 0.14640014670463916, 0.08105930165476995, -0.11900525038092308, -0.032662299236805775, -0.05646543383394202, 0.08084204103095993, -0.018601526544518666, 0.03848283145933935, 0.05469475067316312, -0.13397524610149023, -0.1277620875538161, 0.3899189167439121, -0.05964690864991958, -0.2596821536992562, 0.15930298634179652, -0.13612048608595378, -0.08499584187536616, 0.1675248020838895, 0.17269703691621144, 0.15449885337626282, -0.14107853286638092, 0.11966365866509764, -0.027978653655936048, 0.1885163703780264, 0.028558193922859347, 0.03967043873535035, 0.13937853200182523, 0.13663483847072985, 0.1799393249548053, 0.08581404667028723, 0.014004579789088145, -0.11724076379243642, -0.3513379532792797, -0.1664192336497825, -0.12092805751408003, 0.06197469494598981, -0.0755413673456905, -0.18721105655884906, 0.4142432679369474, 0.05239133150252986, 0.15802121806685646, 0.10337343014942559, 0.2879080692280645, 0.17596828693377287, -0.0035301895225293015, 0.08340937868302867, 0.19666689231175266, 0.15941407269007232, 0.1360704729410067, -0.23299517759364352, -0.003908114163332606, 0.14799159535602346] |
1,803.0189 | Convergence in nonlinear laser wakefield accelerators modeling in a
Lorentz-boosted frame | Laser wakefield acceleration modeling using the Lorentz-boosted frame
technique in the particle-in-cell code has demonstrated orders of magnitude
speedups. A convergence study was previously conducted in cases with external
injection in the linear regime and without injection in the nonlinear regime,
and the obtained results have shown a convergence within the percentage level.
In this article, a convergence study is carried out to model electron
self-injection in the 2-1/2D configuration. It is observed that the
Lorentz-boosted frame technique is capable of modeling complex particle
dynamics with a significant speedup. This result is crucial to curtail the
computational time of the modeling of future chains of $10\,\mathrm{GeV}$ laser
wakefield accelerator stages with high accuracy.
| physics.acc-ph physics.plasm-ph | laser wakefield acceleration modeling using the lorentzboosted frame technique in the particleincell code has demonstrated orders of magnitude speedups a convergence study was previously conducted in cases with external injection in the linear regime and without injection in the nonlinear regime and the obtained results have shown a convergence within the percentage level in this article a convergence study is carried out to model electron selfinjection in the 212d configuration it is observed that the lorentzboosted frame technique is capable of modeling complex particle dynamics with a significant speedup this result is crucial to curtail the computational time of the modeling of future chains of 10mathrmgev laser wakefield accelerator stages with high accuracy | [['laser', 'wakefield', 'acceleration', 'modeling', 'using', 'the', 'lorentzboosted', 'frame', 'technique', 'in', 'the', 'particleincell', 'code', 'has', 'demonstrated', 'orders', 'of', 'magnitude', 'speedups', 'a', 'convergence', 'study', 'was', 'previously', 'conducted', 'in', 'cases', 'with', 'external', 'injection', 'in', 'the', 'linear', 'regime', 'and', 'without', 'injection', 'in', 'the', 'nonlinear', 'regime', 'and', 'the', 'obtained', 'results', 'have', 'shown', 'a', 'convergence', 'within', 'the', 'percentage', 'level', 'in', 'this', 'article', 'a', 'convergence', 'study', 'is', 'carried', 'out', 'to', 'model', 'electron', 'selfinjection', 'in', 'the', '212d', 'configuration', 'it', 'is', 'observed', 'that', 'the', 'lorentzboosted', 'frame', 'technique', 'is', 'capable', 'of', 'modeling', 'complex', 'particle', 'dynamics', 'with', 'a', 'significant', 'speedup', 'this', 'result', 'is', 'crucial', 'to', 'curtail', 'the', 'computational', 'time', 'of', 'the', 'modeling', 'of', 'future', 'chains', 'of', '10mathrmgev', 'laser', 'wakefield', 'accelerator', 'stages', 'with', 'high', 'accuracy']] | [-0.10255064688484512, 0.0855105560616934, -0.08451463098885273, 0.033441710619356586, 0.029930771521485603, -0.11795991920102555, -0.013266735406055509, 0.4210657617664552, -0.22869281152783483, -0.3263346827924587, 0.04376093191849823, -0.21978036482893937, -0.05807668815559901, 0.2578997363007065, 0.0037471992068563225, 0.09712411686442457, 0.12412874952697002, -0.045562918046237647, -0.03801880247664411, -0.236764880324093, 0.23426383357864242, 0.19568951399409557, 0.31025328816057324, 0.01569801341398275, 0.1360921946370991, -0.03238370806096239, -0.008039529343043361, 0.0005609713955293357, -0.08471969521594253, 0.05430952658423701, 0.24329010300497683, 0.068447747462857, 0.32962711083258056, -0.4219627923390887, -0.2583084248555908, 0.03379751494844436, 0.15745454052513516, 0.11422618757933378, -0.10574750323268073, -0.24237097440673425, 0.064777537697385, -0.1808324498418081, -0.14411797773025864, -0.06476114588781251, -0.006211681232728937, 0.055509978741709445, -0.27257225381866984, 0.03719193878088583, 0.07515287911099894, 0.0533574460460259, -0.02713151000070948, -0.0325367826095841, 0.03200119634804962, 0.05315492624366606, 0.08279904281942861, 0.09515327348311951, 0.13151355354148928, -0.121531260518676, -0.13266232799369473, 0.4055509301791857, -0.07570291713492626, -0.19262908422597894, 0.19033176984075825, -0.21327340381371007, -0.08816853502822916, 0.18953955644187895, 0.18170004715589252, 0.11324555492280303, -0.1317473120635023, 0.07297096924063422, 0.0033955697331007, 0.18536352206793455, 0.08168530993809638, -0.006972581810980766, 0.15423160704138042, 0.2690563163602607, 0.027434857584208855, 0.1541597710624505, -0.10257298782518184, -0.08937455608450749, -0.273917187022062, -0.11828911150092478, -0.13174024441170398, 0.01494854089787213, -0.0570935133153988, -0.07949687278413146, 0.4427919420917091, 0.18273043212153622, 0.11507044821927273, -0.0057614797931835725, 0.3433013158674176, 0.14532752184885311, 0.04760969191084843, 0.07133694706266527, 0.2812492586546452, 0.11038329698531343, 0.12895835696946126, -0.24833812784437123, 0.0534862868890569, 0.04497538281076059] |
1,803.01891 | PySEAL: A Python wrapper implementation of the SEAL homomorphic
encryption library | Motivation: The ability to perform operations on encrypted data has a growing
number of applications in bioinformatics, with implications for data privacy in
health care and biosecurity. The SEAL library is a popular implementation of
fully homomorphic encryption developed in C++ by Microsoft Research. Despite
the advantages of C++, Python is a flexible and dominant programming language
that enables rapid prototyping of bioinformatics pipelines.
Results: In an effort to make homomorphic encryption accessible to a broader
range of bioinformatics scientists and applications, we present a Python
binding implementation of the popular homomorphic encryption library, SEAL,
using pybind11. The software contains a Docker image to facilitate easy
installation and execution of the SEAL build process.
Availability: All code is publicly available at
https://github.com/Lab41/PySEAL Contact: lab41@iqt.org Supplementary
information: Supplementary information is available on the Lab41 GitHub.
| q-bio.QM cs.CR | motivation the ability to perform operations on encrypted data has a growing number of applications in bioinformatics with implications for data privacy in health care and biosecurity the seal library is a popular implementation of fully homomorphic encryption developed in c by microsoft research despite the advantages of c python is a flexible and dominant programming language that enables rapid prototyping of bioinformatics pipelines results in an effort to make homomorphic encryption accessible to a broader range of bioinformatics scientists and applications we present a python binding implementation of the popular homomorphic encryption library seal using pybind11 the software contains a docker image to facilitate easy installation and execution of the seal build process availability all code is publicly available at httpsgithubcomlab41pyseal contact lab41iqtorg supplementary information supplementary information is available on the lab41 github | [['motivation', 'the', 'ability', 'to', 'perform', 'operations', 'on', 'encrypted', 'data', 'has', 'a', 'growing', 'number', 'of', 'applications', 'in', 'bioinformatics', 'with', 'implications', 'for', 'data', 'privacy', 'in', 'health', 'care', 'and', 'biosecurity', 'the', 'seal', 'library', 'is', 'a', 'popular', 'implementation', 'of', 'fully', 'homomorphic', 'encryption', 'developed', 'in', 'c', 'by', 'microsoft', 'research', 'despite', 'the', 'advantages', 'of', 'c', 'python', 'is', 'a', 'flexible', 'and', 'dominant', 'programming', 'language', 'that', 'enables', 'rapid', 'prototyping', 'of', 'bioinformatics', 'pipelines', 'results', 'in', 'an', 'effort', 'to', 'make', 'homomorphic', 'encryption', 'accessible', 'to', 'a', 'broader', 'range', 'of', 'bioinformatics', 'scientists', 'and', 'applications', 'we', 'present', 'a', 'python', 'binding', 'implementation', 'of', 'the', 'popular', 'homomorphic', 'encryption', 'library', 'seal', 'using', 'pybind11', 'the', 'software', 'contains', 'a', 'docker', 'image', 'to', 'facilitate', 'easy', 'installation', 'and', 'execution', 'of', 'the', 'seal', 'build', 'process', 'availability', 'all', 'code', 'is', 'publicly', 'available', 'at', 'httpsgithubcomlab41pyseal', 'contact', 'lab41iqtorg', 'supplementary', 'information', 'supplementary', 'information', 'is', 'available', 'on', 'the', 'lab41', 'github']] | [-0.11755626817735342, -0.05750144650888755, -0.05956557100423827, 0.03269217883897419, -0.169775752719635, -0.23183408825156782, 0.020637947068406413, 0.42944227321803247, -0.27924431986533677, -0.3179029243353468, 0.17516551345156936, -0.2709039630834013, -0.07076527434848966, 0.2780716454037107, -0.11614262994665366, 0.11858382700727536, 0.14678326474072842, -0.00698366084924111, -0.010388661102535059, -0.29462755315516215, 0.23179250159927717, 0.09747543564567772, 0.33004850422103815, 0.09072855710893726, 0.04321724989702209, 0.03181903026460742, -0.10320741098660689, -0.08973519671708345, -0.12241073406257783, 0.18701192720148427, 0.36833444139382876, 0.29983230473187106, 0.34577788387855085, -0.40429499747339065, -0.12092055351688312, -0.01760653989532819, 0.11588916454750758, 0.11520051699346648, -0.13063822110147716, -0.2736565816287811, 0.08338269865713441, -0.25699462180670635, -0.055730672664223956, -0.1238944490870031, 0.06591717920695933, -0.0128381797649826, -0.23945635600785653, -0.05807307307035304, -0.029786285943387506, 0.16413541227722397, 0.0422649859988059, -0.07455467585330973, -0.0381749119143933, 0.17483925899992195, -0.014543628857623284, 0.07245056381574473, 0.19577560695246435, -0.1286492004648048, -0.12004979437646958, 0.4175407943244164, -0.03219715698908728, -0.11966879650090749, 0.1872122662106099, 0.005513233750557097, -0.2021419341962498, 0.1087171932360014, 0.22593963242565784, 0.0530523280469844, -0.20364646809892012, 0.1395665552556658, 0.0330627625521559, 0.24021710733381602, 0.026341413627736843, 0.0018928909065345158, 0.15748744680044743, 0.2284069772881384, -0.006438267506802311, 0.17391362791486945, -0.03006559510428745, -0.06358237401537525, -0.23858276101259085, -0.2101370164690217, -0.18517050301530757, -0.04720114360903748, -0.031010298083016936, -0.199295279116128, 0.3637824444171901, 0.2174428285914473, 0.048854579883985796, 0.01797157689445437, 0.4290344118283918, -0.09398174510838894, 0.1952789597087898, 0.14211307564535394, 0.07187673607124732, 0.03423574569169432, 0.20289188677874895, -0.09570920580389121, 0.12472317698411643, -0.026864899503282056] |
1,803.01892 | Controllability implies mixing I. Convergence in the total variation
metric | This paper is the first part of a project devoted to studying the
interconnection between controllability properties of a dynamical system and
the large-time asymptotics of trajectories for the associated stochastic
system. It is proved that the approximate controllability to a given point and
the solid controllability from the same point imply the uniqueness of a
stationary measure and exponential mixing in the total variation metric. This
result is then applied to random differential equations on a compact Riemannian
manifold. In the second part, we shall replace the solid controllability by a
stabilisability condition and prove that it is still sufficient for the
uniqueness of a stationary distribution, whereas the convergence to it holds in
the weaker dual-Lipschitz metric.
| math.CA math.OC math.PR | this paper is the first part of a project devoted to studying the interconnection between controllability properties of a dynamical system and the largetime asymptotics of trajectories for the associated stochastic system it is proved that the approximate controllability to a given point and the solid controllability from the same point imply the uniqueness of a stationary measure and exponential mixing in the total variation metric this result is then applied to random differential equations on a compact riemannian manifold in the second part we shall replace the solid controllability by a stabilisability condition and prove that it is still sufficient for the uniqueness of a stationary distribution whereas the convergence to it holds in the weaker duallipschitz metric | [['this', 'paper', 'is', 'the', 'first', 'part', 'of', 'a', 'project', 'devoted', 'to', 'studying', 'the', 'interconnection', 'between', 'controllability', 'properties', 'of', 'a', 'dynamical', 'system', 'and', 'the', 'largetime', 'asymptotics', 'of', 'trajectories', 'for', 'the', 'associated', 'stochastic', 'system', 'it', 'is', 'proved', 'that', 'the', 'approximate', 'controllability', 'to', 'a', 'given', 'point', 'and', 'the', 'solid', 'controllability', 'from', 'the', 'same', 'point', 'imply', 'the', 'uniqueness', 'of', 'a', 'stationary', 'measure', 'and', 'exponential', 'mixing', 'in', 'the', 'total', 'variation', 'metric', 'this', 'result', 'is', 'then', 'applied', 'to', 'random', 'differential', 'equations', 'on', 'a', 'compact', 'riemannian', 'manifold', 'in', 'the', 'second', 'part', 'we', 'shall', 'replace', 'the', 'solid', 'controllability', 'by', 'a', 'stabilisability', 'condition', 'and', 'prove', 'that', 'it', 'is', 'still', 'sufficient', 'for', 'the', 'uniqueness', 'of', 'a', 'stationary', 'distribution', 'whereas', 'the', 'convergence', 'to', 'it', 'holds', 'in', 'the', 'weaker', 'duallipschitz', 'metric']] | [-0.1553123308803444, 0.03374682705044368, -0.12266690463964212, 0.09005125529345882, -0.03361965270744542, -0.08966220533416086, 0.025582603787539883, 0.3020156168031617, -0.29420989257741276, -0.22568896664622223, 0.1512511092153283, -0.2596780573317813, -0.1534773206453715, 0.14496454093368502, -0.07423852566408656, 0.08745878578510956, 0.07444350023643445, 0.07678926374242341, -0.08315602804423641, -0.20355902090510827, 0.37201793236121283, 0.023562740045205012, 0.2610666312245747, 0.04969009291775272, 0.15381729158067728, -0.02457813832857567, 0.02227716221695103, 0.029062394317144812, -0.13788051138125396, 0.10971391969853696, 0.19704775382681766, 0.10842290453778548, 0.2943751211041364, -0.3774132286908768, -0.17221880991453842, 0.15110184333555526, 0.09393957085977506, 0.08184784923885334, -0.049876318106988164, -0.30579053724216204, 0.12140915046004042, -0.09320593970606766, -0.2154237820206494, -0.03996289778753358, 0.04410708533063278, 0.04547066924209565, -0.27758997858509865, 0.053071379937799805, 0.1478855894033509, 0.02698800624821777, -0.11967534820008549, -0.014630458505145447, -0.029029239616277864, 0.12142868813174634, 0.04343857558373109, 0.032688097971081104, 0.053714966681643814, -0.09683616138142297, -0.04859858558718431, 0.35511661227003244, -0.08654199163251856, -0.26719903795964134, 0.17039768976924974, -0.16689547206180455, -0.15254635502331718, 0.11683708554631005, 0.16792847909688383, 0.1440626014047697, -0.19487315203236827, 0.10814269569947116, -0.05865114134089169, 0.13118846717702967, 0.053901528860679115, 0.011149428516500077, 0.12263101329869133, 0.18579068356509304, 0.19843495935122718, 0.16670059739050685, -0.01455522153252278, -0.11879056724088298, -0.3427265113282759, -0.1999722438167891, -0.19927620032597018, 0.1223533478549729, -0.07862848884739787, -0.17693688718886194, 0.388877323260373, 0.13582650149020098, 0.17056031851097941, 0.10662222629160446, 0.2506968771281131, 0.14553083484485288, -0.021960041074326926, 0.09296846909021073, 0.24657895726988377, 0.22113261450776608, 0.13844218435776184, -0.21468446639359542, 0.10247574944712096, 0.10341883238041931] |
1,803.01893 | Controllability implies mixing II. Convergence in the dual-Lipschitz
metric | This paper continues our study of the interconnection between controllability
and mixing properties of random dynamical systems. We begin with an abstract
result showing that the approximate controllability to a point and a local
stabilisation property imply the uniqueness of a stationary measure and
exponential mixing in the dual-Lipschitz metric. This result is then applied to
the 2D Navier-Stokes system driven by a random force acting through the
boundary. A by-product of our analysis is the local exponential stabilisation
of the boundary-driven Navier-Stokes system by a regular boundary control.
| math.AP math.OC math.PR | this paper continues our study of the interconnection between controllability and mixing properties of random dynamical systems we begin with an abstract result showing that the approximate controllability to a point and a local stabilisation property imply the uniqueness of a stationary measure and exponential mixing in the duallipschitz metric this result is then applied to the 2d navierstokes system driven by a random force acting through the boundary a byproduct of our analysis is the local exponential stabilisation of the boundarydriven navierstokes system by a regular boundary control | [['this', 'paper', 'continues', 'our', 'study', 'of', 'the', 'interconnection', 'between', 'controllability', 'and', 'mixing', 'properties', 'of', 'random', 'dynamical', 'systems', 'we', 'begin', 'with', 'an', 'abstract', 'result', 'showing', 'that', 'the', 'approximate', 'controllability', 'to', 'a', 'point', 'and', 'a', 'local', 'stabilisation', 'property', 'imply', 'the', 'uniqueness', 'of', 'a', 'stationary', 'measure', 'and', 'exponential', 'mixing', 'in', 'the', 'duallipschitz', 'metric', 'this', 'result', 'is', 'then', 'applied', 'to', 'the', '2d', 'navierstokes', 'system', 'driven', 'by', 'a', 'random', 'force', 'acting', 'through', 'the', 'boundary', 'a', 'byproduct', 'of', 'our', 'analysis', 'is', 'the', 'local', 'exponential', 'stabilisation', 'of', 'the', 'boundarydriven', 'navierstokes', 'system', 'by', 'a', 'regular', 'boundary', 'control']] | [-0.17340546811857585, 0.10596318173976327, -0.12600297166369437, 0.016979891744055106, -0.027126597031281237, -0.09285787242501346, 0.04762908991733128, 0.28358626039175505, -0.329622369929311, -0.22784239596823294, 0.15108407131694468, -0.2209245321089716, -0.17826397315169987, 0.15672444819022766, -0.052485663987947316, 0.10306089307087359, 0.06063762369952845, -0.0022632198753567896, -0.07039428828545752, -0.1999774148708649, 0.3654672080033532, 0.014669827279749881, 0.25967291905806306, 0.025032656821893172, 0.11073733905979087, -0.019497809977417162, -0.00087605550586968, 0.05614698480479838, -0.14241251797623622, 0.10373686899671729, 0.15654506473645066, 0.050698573209261626, 0.3001815013671189, -0.4132321131614487, -0.22146093309595344, 0.11274152988923734, 0.11776029428969441, 0.11536175001077772, -0.0813546479323858, -0.3129004368746883, 0.0956324634634042, -0.13780760413475251, -0.19985545401492816, -0.051945171194684725, -0.0020971750903330494, 0.05887012630230171, -0.32086209023601553, 0.06942112010307191, 0.16730264578834753, 0.07915242938220166, -0.11927136708720681, 0.027595469144727575, -0.04517973333157683, 0.11007702971149362, 0.030483112743731295, 0.03742193018107183, 0.09930668554525153, -0.1028142639728828, -0.09617870143651334, 0.3391648633510209, -0.08441757755955744, -0.2509944761287044, 0.23511764326059584, -0.10952731510336522, -0.09704292382458958, 0.08440745554424905, 0.15810362636007033, 0.10788368052290229, -0.16508310044372684, 0.11664215732546356, -0.09197697966108413, 0.15695499119334436, 0.03673229010754757, -0.012927989857375956, 0.13475733109111532, 0.19932811825504798, 0.17683252922437165, 0.17538678405899294, 0.0006775220259605499, -0.12253922057662452, -0.33415628721665463, -0.16341259285253001, -0.16245113280235549, 0.12470720360039869, -0.11870848225757318, -0.20986174157914822, 0.3903355697651258, 0.14760577095818989, 0.2029825762179785, 0.09198229327494425, 0.2604060595373759, 0.14331630136284015, -0.02288212334041306, 0.08030576179156557, 0.23050438035070225, 0.1949059820127035, 0.11918015059167414, -0.2522429296736386, 0.04908354806954439, 0.1345759095686875] |
1,803.01894 | Radiative recombination of large polarons in halide perovskites | In halide perovskites, electrons (holes) exist as electronic (hole) polarons,
excitons, free and trapped electrons (holes). Six kinds of collisions could
lead to annihilation of electron and hole, three of them involve polaron(s). In
the annihilation channel of each collision process, there is a certain
probability to form a dying pair which the average distance between electron
and hole is smaller than a critical distance. The annihilation probability per
unit time of a collision process is a product of the formation probability of
the dying pair in the annihilation channel and the annihilation probability per
unit time of dying pair. To annihilate an electronic (hole) polaron, electron
(hole) must break away from the distorted environment, which can be achieved
either by tunneling or by thermal activation. The observed temperature
dependence of monomolecular and bimolecular recombination rates, the peak
frequency and line width of photoluminescence spectrum are reproduced.
| cond-mat.mtrl-sci | in halide perovskites electrons holes exist as electronic hole polarons excitons free and trapped electrons holes six kinds of collisions could lead to annihilation of electron and hole three of them involve polarons in the annihilation channel of each collision process there is a certain probability to form a dying pair which the average distance between electron and hole is smaller than a critical distance the annihilation probability per unit time of a collision process is a product of the formation probability of the dying pair in the annihilation channel and the annihilation probability per unit time of dying pair to annihilate an electronic hole polaron electron hole must break away from the distorted environment which can be achieved either by tunneling or by thermal activation the observed temperature dependence of monomolecular and bimolecular recombination rates the peak frequency and line width of photoluminescence spectrum are reproduced | [['in', 'halide', 'perovskites', 'electrons', 'holes', 'exist', 'as', 'electronic', 'hole', 'polarons', 'excitons', 'free', 'and', 'trapped', 'electrons', 'holes', 'six', 'kinds', 'of', 'collisions', 'could', 'lead', 'to', 'annihilation', 'of', 'electron', 'and', 'hole', 'three', 'of', 'them', 'involve', 'polarons', 'in', 'the', 'annihilation', 'channel', 'of', 'each', 'collision', 'process', 'there', 'is', 'a', 'certain', 'probability', 'to', 'form', 'a', 'dying', 'pair', 'which', 'the', 'average', 'distance', 'between', 'electron', 'and', 'hole', 'is', 'smaller', 'than', 'a', 'critical', 'distance', 'the', 'annihilation', 'probability', 'per', 'unit', 'time', 'of', 'a', 'collision', 'process', 'is', 'a', 'product', 'of', 'the', 'formation', 'probability', 'of', 'the', 'dying', 'pair', 'in', 'the', 'annihilation', 'channel', 'and', 'the', 'annihilation', 'probability', 'per', 'unit', 'time', 'of', 'dying', 'pair', 'to', 'annihilate', 'an', 'electronic', 'hole', 'polaron', 'electron', 'hole', 'must', 'break', 'away', 'from', 'the', 'distorted', 'environment', 'which', 'can', 'be', 'achieved', 'either', 'by', 'tunneling', 'or', 'by', 'thermal', 'activation', 'the', 'observed', 'temperature', 'dependence', 'of', 'monomolecular', 'and', 'bimolecular', 'recombination', 'rates', 'the', 'peak', 'frequency', 'and', 'line', 'width', 'of', 'photoluminescence', 'spectrum', 'are', 'reproduced']] | [-0.13705269210389023, 0.20091090223731767, -0.026870136763773807, 0.11412802734820597, 0.015535360926027302, -0.1593436831766803, 0.11174723239881652, 0.3971375039442867, -0.24155394926660878, -0.2766161379055912, -0.02969448650366671, -0.34151098952584324, 0.021139618552600343, 0.1709224415117824, 0.05758791793768174, -0.006249867509543693, 0.046390495752459585, 0.04124619743349601, -0.053594779378424086, -0.21134701192214275, 0.3120207076727533, 0.098493898629534, 0.24941321402838845, 0.08493800160671476, 0.03884797421645145, 0.0222853404108663, 0.05443344041578421, -0.04038184813103404, -0.1214911342744215, 0.077065682854562, 0.2088248718365216, 0.03589666696252669, 0.2238256868329786, -0.4480026594812975, -0.21455687574636775, 0.08948231496702448, 0.21471767169486758, 0.10490091247357378, -0.09322765919056777, -0.2684854726341939, 0.008361215785551233, -0.21100400455417206, -0.07993265800098857, 0.04243611112287661, 0.05388403469126443, 0.03255035928102071, -0.27342888029279555, 0.1702736771228362, 0.0223387242991756, -0.07573513778522104, -0.09723224637231656, -0.06442564763255468, -0.10291487560765882, 0.07715882532469624, 0.06138418255758719, 0.039516807861664165, 0.2695478637620401, -0.08062128852625207, -0.1380370713225534, 0.3549810694182152, -0.035484853934446746, -0.0976610529255502, 0.18458530012293256, -0.2339825316207154, -0.021666472454612354, 0.2521997239111232, 0.14539626623712937, 0.11835402305725784, -0.17221377131316912, 0.03888690474816934, 0.032549491893424064, 0.15999966011490344, 0.14612578952900407, 0.11505903745526258, 0.3216776148270385, 0.1355069286006243, 0.02426274922251904, 0.08532980750837572, -0.14912060883666745, -0.08173280748297923, -0.24424856612268758, -0.17892930418455683, -0.1961157922569637, 0.11205789479310228, -0.06266065311184958, -0.15297257880266277, 0.34553118669554644, 0.02963068076174985, 0.24851123655379628, -0.05090152028137121, 0.2360669739671993, 0.15671906981943493, 0.04877816167260919, 0.051051512347901756, 0.21189975278566078, 0.10773218347735349, 0.07407658460999833, -0.26435560086024545, 0.05699269778291587, 0.05842833226343908] |
1,803.01895 | Precoding and Spatial Modulation in the Downlink of MU-MIMO Systems | This work focuses on the downlink communication of a multiuser MIMO system
where the base station antennas and the users' receiving antennas are all
active, but at each transmission, only a subset of the receive antennas is
selected by the base station to receive the information symbols, and the
particular chosen subset (pattern) represents part of the information conveyed
to the user. In this paper we present a mathematical model for the system and
develop expressions that are fairly general and adequate for its analysis.
Based on these expressions we propose a procedure to optimize the choice by the
ERB of the sets of antenna patterns to be used in the transmissions to the
different users, aiming at the maximization of the detection signal-to-noise
ratio. Performance results, with and without the optimization procedure, are
presented for different scenarios.
| eess.SP | this work focuses on the downlink communication of a multiuser mimo system where the base station antennas and the users receiving antennas are all active but at each transmission only a subset of the receive antennas is selected by the base station to receive the information symbols and the particular chosen subset pattern represents part of the information conveyed to the user in this paper we present a mathematical model for the system and develop expressions that are fairly general and adequate for its analysis based on these expressions we propose a procedure to optimize the choice by the erb of the sets of antenna patterns to be used in the transmissions to the different users aiming at the maximization of the detection signaltonoise ratio performance results with and without the optimization procedure are presented for different scenarios | [['this', 'work', 'focuses', 'on', 'the', 'downlink', 'communication', 'of', 'a', 'multiuser', 'mimo', 'system', 'where', 'the', 'base', 'station', 'antennas', 'and', 'the', 'users', 'receiving', 'antennas', 'are', 'all', 'active', 'but', 'at', 'each', 'transmission', 'only', 'a', 'subset', 'of', 'the', 'receive', 'antennas', 'is', 'selected', 'by', 'the', 'base', 'station', 'to', 'receive', 'the', 'information', 'symbols', 'and', 'the', 'particular', 'chosen', 'subset', 'pattern', 'represents', 'part', 'of', 'the', 'information', 'conveyed', 'to', 'the', 'user', 'in', 'this', 'paper', 'we', 'present', 'a', 'mathematical', 'model', 'for', 'the', 'system', 'and', 'develop', 'expressions', 'that', 'are', 'fairly', 'general', 'and', 'adequate', 'for', 'its', 'analysis', 'based', 'on', 'these', 'expressions', 'we', 'propose', 'a', 'procedure', 'to', 'optimize', 'the', 'choice', 'by', 'the', 'erb', 'of', 'the', 'sets', 'of', 'antenna', 'patterns', 'to', 'be', 'used', 'in', 'the', 'transmissions', 'to', 'the', 'different', 'users', 'aiming', 'at', 'the', 'maximization', 'of', 'the', 'detection', 'signaltonoise', 'ratio', 'performance', 'results', 'with', 'and', 'without', 'the', 'optimization', 'procedure', 'are', 'presented', 'for', 'different', 'scenarios']] | [-0.20787655464137325, 0.021654061564797725, -0.02118297979451608, 0.0008851295578347492, -0.09416926004316496, -0.19572248172514356, 0.13229505056296004, 0.3648307792154019, -0.20093574053675367, -0.3007083937114078, 0.09865816152971778, -0.2867730150768614, -0.17467349155913983, 0.1338786231826289, -0.08262062483413173, 0.014365886411869196, 0.04437048774401563, 0.08884671930750103, -0.017543622830788187, -0.2547349465109975, 0.32058453433168377, 0.12275352775105748, 0.3293257418841097, -0.002559358443039051, 0.1028156150267392, 0.03894577927860445, -0.05994917378436936, -0.02947101044887002, -0.09384088324362022, 0.12862202181460577, 0.3435591089984645, 0.2401290099757413, 0.2681310998302871, -0.41479802470438293, -0.20952224378561368, 0.0674093740357869, 0.1371105988509953, 0.07605744075946226, -0.02330677200992848, -0.26389286851348437, 0.13315910041210768, -0.18438594587876098, -0.03173601149878316, 0.02217334672889632, -0.05730373259849739, 0.054816013728470905, -0.355042593418688, -0.05282300529812557, -0.01927000902377177, 0.046840826373385346, -0.034226944024735334, -0.12269260512202627, 0.035156235706223095, 0.20514493468689962, 0.057888893472145486, -0.0354146975036913, 0.10513581743841802, -0.07880374754482097, -0.06765100368015144, 0.3909273273109094, 0.0035820138586712055, -0.26286912810705276, 0.16698399042892878, -0.1401962344467208, -0.10012797238237724, 0.14030318736584615, 0.2620828124370588, 0.12224682037165199, -0.18434040741050156, 0.0044626770823674305, -0.022162294578384204, 0.1696702754057512, 0.07461468097618848, 0.08763604297216618, 0.19495712414356894, 0.17397278451286527, 0.09735196054764632, 0.12736046051124003, -0.13428836032424285, -0.05321216042342501, -0.2791830972106992, -0.10805659471214682, -0.20334196644767688, -0.013863739860412814, -0.08348826748988358, -0.0746986833502255, 0.3974953896359311, 0.1425495682540687, 0.1554864262504017, 0.10946386154957008, 0.3813506656096897, 0.11109386183628542, 0.05940833748858152, 0.08589600465273943, 0.19696162412941887, 0.0674760621479726, 0.13935591408854647, -0.20713515119438153, 0.055102207880143236, 0.00015998172128330106] |
1,803.01896 | SACRE: Supporting contextual requirements' adaptation in modern
self-adaptive systems in the presence of uncertainty at runtime | Runtime uncertainty such as unpredictable resource unavailability, changing
environmental conditions and user needs, as well as system intrusions or faults
represents one of the main current challenges of self-adaptive systems.
Moreover, today's systems are increasingly more complex, distributed,
decentralized, etc. and therefore have to reason about and cope with more and
more unpredictable events. Approaches to deal with such changing requirements
in complex today's systems are still missing. This work presents SACRE (Smart
Adaptation through Contextual REquirements), our approach leveraging an
adaptation feedback loop to detect self-adaptive systems' contextual
requirements affected by uncertainty and to integrate machine learning
techniques to determine the best operationalization of context based on sensed
data at runtime. SACRE is a step forward of our former approach ACon which
focus had been on adapting the context in contextual requirements, as well as
their basic implementation. SACRE primarily focuses on architectural decisions,
addressing self-adaptive systems' engineering challenges. Furthering the work
on ACon, in this paper, we perform an evaluation of the entire approach in
different uncertainty scenarios in real-time in the extremely demanding domain
of smart vehicles. The real-time evaluation is conducted in a simulated
environment in which the smart vehicle is implemented through software
components. The evaluation results provide empirical evidence about the
applicability of SACRE in real and complex software system domains.
| cs.SE | runtime uncertainty such as unpredictable resource unavailability changing environmental conditions and user needs as well as system intrusions or faults represents one of the main current challenges of selfadaptive systems moreover todays systems are increasingly more complex distributed decentralized etc and therefore have to reason about and cope with more and more unpredictable events approaches to deal with such changing requirements in complex todays systems are still missing this work presents sacre smart adaptation through contextual requirements our approach leveraging an adaptation feedback loop to detect selfadaptive systems contextual requirements affected by uncertainty and to integrate machine learning techniques to determine the best operationalization of context based on sensed data at runtime sacre is a step forward of our former approach acon which focus had been on adapting the context in contextual requirements as well as their basic implementation sacre primarily focuses on architectural decisions addressing selfadaptive systems engineering challenges furthering the work on acon in this paper we perform an evaluation of the entire approach in different uncertainty scenarios in realtime in the extremely demanding domain of smart vehicles the realtime evaluation is conducted in a simulated environment in which the smart vehicle is implemented through software components the evaluation results provide empirical evidence about the applicability of sacre in real and complex software system domains | [['runtime', 'uncertainty', 'such', 'as', 'unpredictable', 'resource', 'unavailability', 'changing', 'environmental', 'conditions', 'and', 'user', 'needs', 'as', 'well', 'as', 'system', 'intrusions', 'or', 'faults', 'represents', 'one', 'of', 'the', 'main', 'current', 'challenges', 'of', 'selfadaptive', 'systems', 'moreover', 'todays', 'systems', 'are', 'increasingly', 'more', 'complex', 'distributed', 'decentralized', 'etc', 'and', 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1,803.01897 | Adaptive Matching Pursuit based Online Identification and Control Scheme
for Nonlinear Systems | The complexity of adaptive control of nonlinear time-varying systems requires
the use of novel methods that have lower computational complexity as well as
ensuring good performance under time-varying parameter changes. In this study,
we use adaptive matching pursuit algorithm with wavelet bases for an online
identification and control of the nonlinear system with time-varying
parameters. We apply the proposed online identification and control scheme to
two different benchmark examples of nonlinear system identification and
control. Simulation results show that the proposed algorithm, using adaptive
matching pursuit with wavelet bases, can effectively identify and control the
nonlinear system even in presence of time-varying parameters.
| eess.SP | the complexity of adaptive control of nonlinear timevarying systems requires the use of novel methods that have lower computational complexity as well as ensuring good performance under timevarying parameter changes in this study we use adaptive matching pursuit algorithm with wavelet bases for an online identification and control of the nonlinear system with timevarying parameters we apply the proposed online identification and control scheme to two different benchmark examples of nonlinear system identification and control simulation results show that the proposed algorithm using adaptive matching pursuit with wavelet bases can effectively identify and control the nonlinear system even in presence of timevarying parameters | [['the', 'complexity', 'of', 'adaptive', 'control', 'of', 'nonlinear', 'timevarying', 'systems', 'requires', 'the', 'use', 'of', 'novel', 'methods', 'that', 'have', 'lower', 'computational', 'complexity', 'as', 'well', 'as', 'ensuring', 'good', 'performance', 'under', 'timevarying', 'parameter', 'changes', 'in', 'this', 'study', 'we', 'use', 'adaptive', 'matching', 'pursuit', 'algorithm', 'with', 'wavelet', 'bases', 'for', 'an', 'online', 'identification', 'and', 'control', 'of', 'the', 'nonlinear', 'system', 'with', 'timevarying', 'parameters', 'we', 'apply', 'the', 'proposed', 'online', 'identification', 'and', 'control', 'scheme', 'to', 'two', 'different', 'benchmark', 'examples', 'of', 'nonlinear', 'system', 'identification', 'and', 'control', 'simulation', 'results', 'show', 'that', 'the', 'proposed', 'algorithm', 'using', 'adaptive', 'matching', 'pursuit', 'with', 'wavelet', 'bases', 'can', 'effectively', 'identify', 'and', 'control', 'the', 'nonlinear', 'system', 'even', 'in', 'presence', 'of', 'timevarying', 'parameters']] | [-0.1079661217201682, -0.0008228551583687856, -0.07205674799330966, -0.012984548646784885, -0.08193741151972593, -0.18072694754770513, 0.009672216675470321, 0.40879309481208764, -0.2988044456262322, -0.3493707922956391, 0.156865275598321, -0.1801211881650232, -0.24753329949905573, 0.22746621173788403, -0.10257162311955274, 0.16421218711918997, 0.06541046255168695, 0.007703682554668738, -0.05988412326681021, -0.2562978353749201, 0.26750607053902975, 0.09202737042463376, 0.3209105800945782, -0.07251263114011132, 0.1479709202025845, 0.07003114811253273, -0.0483471243257987, 0.023629243838266263, -0.0855775006298819, 0.12357082030487539, 0.2774514537282035, 0.16665988929063372, 0.3425223619577665, -0.3806207521086179, -0.22370403023997268, 0.10318144579707346, 0.14506374100602945, 0.10638849485611308, -0.09427806281132027, -0.2602750913249057, 0.07665527534209987, -0.143867293454128, -0.06828842093281955, -0.16432691293144688, -0.08457076803157196, 0.06191722705770392, -0.37228784274346044, 0.05267847385438322, 0.01668137251467272, 0.0551012724963496, -0.10903395642752498, -0.09058189964559363, 0.030954452057468516, 0.15360701983812655, -0.01701412510095182, -0.04440132661234334, 0.11223084748116802, -0.11049455592580573, -0.20310731546826732, 0.3479379007719385, -0.07100535767125779, -0.24660410406520067, 0.22831865586340427, -0.023999810996420175, -0.13907812323728666, 0.12633216945291723, 0.2864409200033372, 0.10239320536578092, -0.13906577152191002, 0.04918496933928465, -0.03457727119579766, 0.20275919188211844, 0.023653834497610344, 0.0721514861379723, 0.08160128914841532, 0.2286198694277012, 0.15226389739201268, 0.14937095930664213, -0.053241667783032486, -0.0852543067422162, -0.2401189561119502, -0.08823018112373583, -0.13338350994711362, -0.09721199358876759, -0.13163678305962764, -0.17726575464769764, 0.41701272496109737, 0.20677105228425663, 0.141921272618895, 0.06590581401160837, 0.3532605352404627, 0.11434740548528441, 0.006946917379148377, 0.10621678403316481, 0.23119165307109796, 0.09085153975496882, 0.07552199308009981, -0.3073899143384498, 0.0808463227478516, 0.05001170115852819] |
1,803.01898 | Strategic Research Grant Report: Fiber-shaped lithium-ion batteries with
metallic electrodes | We have demonstrated a fiber lithium ion battery (LIB) fabricated by
co-twisting a LiFePO4 composite-coated copper wire (cathode) together with an
aluminum wire (anode). An all-solid LiPF6 composite layer functioning both as
the electrolyte and battery separator is deposited onto the two electrode wires
before twisting. To characterize the electrochemical properties of the battery,
charge-discharge tests with different C-rates are performed. The fiber LIB has
an open-circuit voltage of ~3.4 V, and the typical specific capacity is found
to be ~87 mAhg-1 at 0.5 C charge-discharge rate. Besides, the proposed battery
has a Coulombic efficiency of more than 82% throughout all the charge-discharge
tests. We also find that bending of the fiber battery has insignificant
influence on the battery electrochemical properties.
| physics.app-ph physics.chem-ph | we have demonstrated a fiber lithium ion battery lib fabricated by cotwisting a lifepo4 compositecoated copper wire cathode together with an aluminum wire anode an allsolid lipf6 composite layer functioning both as the electrolyte and battery separator is deposited onto the two electrode wires before twisting to characterize the electrochemical properties of the battery chargedischarge tests with different crates are performed the fiber lib has an opencircuit voltage of 34 v and the typical specific capacity is found to be 87 mahg1 at 05 c chargedischarge rate besides the proposed battery has a coulombic efficiency of more than 82 throughout all the chargedischarge tests we also find that bending of the fiber battery has insignificant influence on the battery electrochemical properties | [['we', 'have', 'demonstrated', 'a', 'fiber', 'lithium', 'ion', 'battery', 'lib', 'fabricated', 'by', 'cotwisting', 'a', 'lifepo4', 'compositecoated', 'copper', 'wire', 'cathode', 'together', 'with', 'an', 'aluminum', 'wire', 'anode', 'an', 'allsolid', 'lipf6', 'composite', 'layer', 'functioning', 'both', 'as', 'the', 'electrolyte', 'and', 'battery', 'separator', 'is', 'deposited', 'onto', 'the', 'two', 'electrode', 'wires', 'before', 'twisting', 'to', 'characterize', 'the', 'electrochemical', 'properties', 'of', 'the', 'battery', 'chargedischarge', 'tests', 'with', 'different', 'crates', 'are', 'performed', 'the', 'fiber', 'lib', 'has', 'an', 'opencircuit', 'voltage', 'of', '34', 'v', 'and', 'the', 'typical', 'specific', 'capacity', 'is', 'found', 'to', 'be', '87', 'mahg1', 'at', '05', 'c', 'chargedischarge', 'rate', 'besides', 'the', 'proposed', 'battery', 'has', 'a', 'coulombic', 'efficiency', 'of', 'more', 'than', '82', 'throughout', 'all', 'the', 'chargedischarge', 'tests', 'we', 'also', 'find', 'that', 'bending', 'of', 'the', 'fiber', 'battery', 'has', 'insignificant', 'influence', 'on', 'the', 'battery', 'electrochemical', 'properties']] | [-0.13539922945964455, 0.1166554387386628, 0.03728296586063871, -0.10784834528590373, 0.03094863611813478, -0.2540993336001176, 0.08758814168013945, 0.4561065600386688, -0.19541450453914327, -0.3073527943342924, 0.05409812965985982, -0.3170339036889437, -0.008320153098036888, 0.2284755658733995, -0.08772064592031871, 0.030128875062527025, 0.06369907972442002, 0.0034847578861429787, -0.046864301956282196, -0.22019311463648156, 0.15502125312996826, 0.15500758131261633, 0.3433627184957829, 0.09228696521692478, 0.07384713798147008, -0.10034146299194388, 0.0939005034341782, 0.01297365068585197, -0.13818947620086514, 0.027591306881533013, 0.2403164860565497, -0.023631444697839624, 0.23564672532702693, -0.5083435145167619, -0.2410291474969948, 0.023164409576688243, 0.057093523039693846, 0.023028030324489576, -0.10658425575343818, -0.17611284234694072, 0.1579980429324533, -0.22253539176861278, -0.07349371818919517, 0.025538964243997046, 0.05032033579690116, 0.083773792228278, -0.19838407487919585, -0.03395774660993, 0.02368665359789083, 0.06298893389385976, -0.09291319968961492, -0.15903913080222717, -0.10530104786705445, 0.06589497297150161, 0.0118266294217285, -0.03353157295931537, 0.2870450712380414, -0.03255588366227428, -0.04277376377242891, 0.32397567426018853, -0.04960024625636704, -0.11158132878280863, 0.15257792745349036, -0.12151232066744265, 0.014087492705737593, 0.16968081772969174, 0.08887278539531653, 0.08999199918745195, -0.2340854546681297, 0.02188407803006165, 0.05544193749542998, 0.17417194030973146, 0.13737010789502943, 0.01126045034073309, 0.19691254401250796, 0.28675986339627696, 0.016028301624049033, 0.1662097499372502, -0.174270921032641, 0.014200913848965858, -0.22186367161290235, -0.2528693343712283, -0.15970842840693922, 0.08704963299844946, -0.10420639320260047, -0.17652719150132992, 0.4042991784111667, 0.043029880298016895, 0.0982468343425949, -0.05005043941088209, 0.2627458449828775, 0.05141651518388549, 0.09388258931043111, 0.03899458938223474, 0.26404409093670783, 0.1883372940346129, 0.15326081537993766, -0.2914661239018711, 0.11531474460855502, -0.011854747697679685] |
1,803.01899 | On the stability of the positive mass theorem for asymptotically
hyperbolic graphs | The positive mass theorem states that the total mass of a complete
asymptotically flat manifold with non-negative scalar curvature is
non-negative; moreover, the total mass equals zero if and only if the manifold
is isometric to the Euclidean space. Huang and Lee [2015] proved the stability
of the Positive Mass Theorem for a class of $n$-dimensional ($n \geq 3$)
asymptotically flat graphs with non-negative scalar curvature, in the sense of
currents. Motivated by their work and using results of Dahl, Gicquaud and
Sakovich [2013], we adapt their ideas to obtain a similar result regarding the
stability of the positive mass theorem, in the sense of currents, for a class
of $n$-dimensional $(n \geq 3)$ asymptotically hyperbolic graphs with scalar
curvature bigger than or equal to $-n(n-1)$.
| math.DG gr-qc | the positive mass theorem states that the total mass of a complete asymptotically flat manifold with nonnegative scalar curvature is nonnegative moreover the total mass equals zero if and only if the manifold is isometric to the euclidean space huang and lee 2015 proved the stability of the positive mass theorem for a class of ndimensional n geq 3 asymptotically flat graphs with nonnegative scalar curvature in the sense of currents motivated by their work and using results of dahl gicquaud and sakovich 2013 we adapt their ideas to obtain a similar result regarding the stability of the positive mass theorem in the sense of currents for a class of ndimensional n geq 3 asymptotically hyperbolic graphs with scalar curvature bigger than or equal to nn1 | [['the', 'positive', 'mass', 'theorem', 'states', 'that', 'the', 'total', 'mass', 'of', 'a', 'complete', 'asymptotically', 'flat', 'manifold', 'with', 'nonnegative', 'scalar', 'curvature', 'is', 'nonnegative', 'moreover', 'the', 'total', 'mass', 'equals', 'zero', 'if', 'and', 'only', 'if', 'the', 'manifold', 'is', 'isometric', 'to', 'the', 'euclidean', 'space', 'huang', 'and', 'lee', '2015', 'proved', 'the', 'stability', 'of', 'the', 'positive', 'mass', 'theorem', 'for', 'a', 'class', 'of', 'ndimensional', 'n', 'geq', '3', 'asymptotically', 'flat', 'graphs', 'with', 'nonnegative', 'scalar', 'curvature', 'in', 'the', 'sense', 'of', 'currents', 'motivated', 'by', 'their', 'work', 'and', 'using', 'results', 'of', 'dahl', 'gicquaud', 'and', 'sakovich', '2013', 'we', 'adapt', 'their', 'ideas', 'to', 'obtain', 'a', 'similar', 'result', 'regarding', 'the', 'stability', 'of', 'the', 'positive', 'mass', 'theorem', 'in', 'the', 'sense', 'of', 'currents', 'for', 'a', 'class', 'of', 'ndimensional', 'n', 'geq', '3', 'asymptotically', 'hyperbolic', 'graphs', 'with', 'scalar', 'curvature', 'bigger', 'than', 'or', 'equal', 'to', 'nn1']] | [-0.13547891082005606, 0.16293189200454405, -0.026531661476289468, 0.05974252439022715, -0.06533043497493343, -0.17607146272406218, -0.016556605914725908, 0.2941372985286372, -0.1728227505024286, -0.2898140311119191, 0.1101086765235763, -0.2950661553528219, -0.14077269866330816, 0.14253773240350365, -0.09915448581829431, 0.03420551980860413, 0.03033096222798266, 0.0992516034711448, -0.07999285943399642, -0.2961542547296082, 0.40208851356828024, -0.003557083196938038, 0.19438862862686315, 0.10167969200050547, 0.13375887660575764, -0.0009474535805306264, -0.029791403354869947, 0.03697543838296995, -0.2040473365593662, 0.10445751866560414, 0.18478525751307312, 0.09414926916360855, 0.24615644628647715, -0.3085496719217017, -0.1673976250495466, 0.22784753495620358, 0.09558642207689229, 0.004300924358032052, -0.01818176268577753, -0.2767868812402917, 0.1518750611086568, -0.08896962270909359, -0.226895807832036, -0.03232863790074748, 0.08774656479409526, -0.058026800660179956, -0.2905030086902635, 0.09437462433596097, 0.151792813966509, -0.013047321448250422, -0.09552387004008606, -0.15099398198626227, -0.121441117820463, 0.0620453857894366, 0.05989658207603035, 0.0666694203474825, 0.06359673231204468, -0.04589277245695629, -0.1065257580457477, 0.2894708841802582, -0.10610255261844796, -0.2726674144311498, 0.08888494524927366, -0.1491190113001577, -0.09719502806131329, 0.11102139681119412, 0.15166938062461596, 0.19104450684232963, -0.052208918368532545, 0.19551174822891693, -0.07999505297029538, 0.11513711554682, 0.14611768991582924, 0.00432641437971994, 0.15852315119275498, 0.04901089374759486, 0.1566050101056813, 0.09252342357972844, 0.011628138407739618, -0.07125318447143646, -0.3035193045165331, -0.18807232231899565, -0.2263475589949401, 0.17702958633982768, -0.15299408700241382, -0.16287157805229996, 0.3482135897465346, 0.0032565242958269894, 0.19993165689742282, 0.1920962406189314, 0.23420044855170308, 0.051962135221517186, 0.0022666914765501305, 0.1736658664109806, 0.1968551238218973, 0.23717802812692723, 0.08189918815587012, -0.14239419626796412, -0.05650873671817992, 0.11400771716846124] |
1,803.019 | Style Memory: Making a Classifier Network Generative | Deep networks have shown great performance in classification tasks. However,
the parameters learned by the classifier networks usually discard stylistic
information of the input, in favour of information strictly relevant to
classification. We introduce a network that has the capacity to do both
classification and reconstruction by adding a "style memory" to the output
layer of the network. We also show how to train such a neural network as a deep
multi-layer autoencoder, jointly minimizing both classification and
reconstruction losses. The generative capacity of our network demonstrates that
the combination of style-memory neurons with the classifier neurons yield good
reconstructions of the inputs when the classification is correct. We further
investigate the nature of the style memory, and how it relates to composing
digits and letters. Finally, we propose that this architecture enables the
bidirectional flow of information used in predictive coding, and that such
bidirectional networks can help mitigate against being fooled by ambiguous or
adversarial input.
| cs.NE | deep networks have shown great performance in classification tasks however the parameters learned by the classifier networks usually discard stylistic information of the input in favour of information strictly relevant to classification we introduce a network that has the capacity to do both classification and reconstruction by adding a style memory to the output layer of the network we also show how to train such a neural network as a deep multilayer autoencoder jointly minimizing both classification and reconstruction losses the generative capacity of our network demonstrates that the combination of stylememory neurons with the classifier neurons yield good reconstructions of the inputs when the classification is correct we further investigate the nature of the style memory and how it relates to composing digits and letters finally we propose that this architecture enables the bidirectional flow of information used in predictive coding and that such bidirectional networks can help mitigate against being fooled by ambiguous or adversarial input | [['deep', 'networks', 'have', 'shown', 'great', 'performance', 'in', 'classification', 'tasks', 'however', 'the', 'parameters', 'learned', 'by', 'the', 'classifier', 'networks', 'usually', 'discard', 'stylistic', 'information', 'of', 'the', 'input', 'in', 'favour', 'of', 'information', 'strictly', 'relevant', 'to', 'classification', 'we', 'introduce', 'a', 'network', 'that', 'has', 'the', 'capacity', 'to', 'do', 'both', 'classification', 'and', 'reconstruction', 'by', 'adding', 'a', 'style', 'memory', 'to', 'the', 'output', 'layer', 'of', 'the', 'network', 'we', 'also', 'show', 'how', 'to', 'train', 'such', 'a', 'neural', 'network', 'as', 'a', 'deep', 'multilayer', 'autoencoder', 'jointly', 'minimizing', 'both', 'classification', 'and', 'reconstruction', 'losses', 'the', 'generative', 'capacity', 'of', 'our', 'network', 'demonstrates', 'that', 'the', 'combination', 'of', 'stylememory', 'neurons', 'with', 'the', 'classifier', 'neurons', 'yield', 'good', 'reconstructions', 'of', 'the', 'inputs', 'when', 'the', 'classification', 'is', 'correct', 'we', 'further', 'investigate', 'the', 'nature', 'of', 'the', 'style', 'memory', 'and', 'how', 'it', 'relates', 'to', 'composing', 'digits', 'and', 'letters', 'finally', 'we', 'propose', 'that', 'this', 'architecture', 'enables', 'the', 'bidirectional', 'flow', 'of', 'information', 'used', 'in', 'predictive', 'coding', 'and', 'that', 'such', 'bidirectional', 'networks', 'can', 'help', 'mitigate', 'against', 'being', 'fooled', 'by', 'ambiguous', 'or', 'adversarial', 'input']] | [-0.06027769800653729, -0.003596765309524764, -0.04431013869133535, 0.07920731627234039, -0.09352837769302783, -0.18750308531745793, 0.07501986524339314, 0.4549594828562372, -0.3069264049623992, -0.314785463865965, 0.0754407753395458, -0.2669383466724235, -0.2660914230246429, 0.14537141467485382, -0.1795675508918205, 0.09910516892886086, 0.1257270139539733, 0.08557453601929554, -0.03873380204176257, -0.30509170715009, 0.32785497862062635, 0.07056570690455935, 0.35512558963119384, 0.0009227158260015641, 0.13430041861631403, -0.025998275881265378, -0.019926862468257856, -0.002003941735753991, -0.03260502639870978, 0.17342205346817044, 0.2960085756572521, 0.19828285979979024, 0.311001603022977, -0.45145461612209015, -0.284223138811482, 0.1049120296415677, 0.13265117586836528, 0.1211076747718012, 0.003835409330975288, -0.3027758705874632, 0.11747629495610477, -0.17845017710926048, 0.05851475351822272, -0.18948707436241066, -0.044883835714482435, 0.021323377950929676, -0.28332550433066905, 0.018525157928886486, 0.13176043574834706, -0.0005028618464044704, -0.04056998726075432, -0.07550829062149356, -0.037832882746188026, 0.19903880333513835, 0.017982023146009416, 0.06727674346236263, 0.1159376462441009, -0.21856044944610067, -0.139326318843397, 0.31321309369270967, -0.07306184070844761, -0.2296622059646116, 0.17558758609162964, -0.014837372149370469, -0.11083720612582887, 0.07657084883350855, 0.25265753571430494, 0.045929134992443645, -0.16795038823885503, -0.048552475834434415, -0.042247028867150566, 0.21283289417995224, 0.06013556893701386, 0.029600526662958655, 0.1822037104721875, 0.2563479381901135, 0.007052409527882649, 0.18901413315343582, -0.15434403084407583, -0.02894947376728034, -0.21453785342253318, -0.09653840032495131, -0.19852017764755447, 0.005613415332950035, -0.10264512635483837, -0.13136732707650603, 0.4346980955273767, 0.2165987904503894, 0.231306637752991, 0.13172293578980454, 0.3418098635449531, 0.030186009931431456, 0.14302076789651327, 0.11784520938660309, 0.19890958392268912, 0.07519434875168002, 0.12443123146621689, -0.174558080348726, 0.1276722414312279, 0.02686453414309746] |
1,803.01901 | On Discrimination Discovery and Removal in Ranked Data using Causal
Graph | Predictive models learned from historical data are widely used to help
companies and organizations make decisions. However, they may digitally
unfairly treat unwanted groups, raising concerns about fairness and
discrimination. In this paper, we study the fairness-aware ranking problem
which aims to discover discrimination in ranked datasets and reconstruct the
fair ranking. Existing methods in fairness-aware ranking are mainly based on
statistical parity that cannot measure the true discriminatory effect since
discrimination is causal. On the other hand, existing methods in causal-based
anti-discrimination learning focus on classification problems and cannot be
directly applied to handle the ranked data. To address these limitations, we
propose to map the rank position to a continuous score variable that represents
the qualification of the candidates. Then, we build a causal graph that
consists of both the discrete profile attributes and the continuous score. The
path-specific effect technique is extended to the mixed-variable causal graph
to identify both direct and indirect discrimination. The relationship between
the path-specific effects for the ranked data and those for the binary decision
is theoretically analyzed. Finally, algorithms for discovering and removing
discrimination from a ranked dataset are developed. Experiments using the real
dataset show the effectiveness of our approaches.
| cs.LG cs.AI cs.CY stat.ML | predictive models learned from historical data are widely used to help companies and organizations make decisions however they may digitally unfairly treat unwanted groups raising concerns about fairness and discrimination in this paper we study the fairnessaware ranking problem which aims to discover discrimination in ranked datasets and reconstruct the fair ranking existing methods in fairnessaware ranking are mainly based on statistical parity that cannot measure the true discriminatory effect since discrimination is causal on the other hand existing methods in causalbased antidiscrimination learning focus on classification problems and cannot be directly applied to handle the ranked data to address these limitations we propose to map the rank position to a continuous score variable that represents the qualification of the candidates then we build a causal graph that consists of both the discrete profile attributes and the continuous score the pathspecific effect technique is extended to the mixedvariable causal graph to identify both direct and indirect discrimination the relationship between the pathspecific effects for the ranked data and those for the binary decision is theoretically analyzed finally algorithms for discovering and removing discrimination from a ranked dataset are developed experiments using the real dataset show the effectiveness of our approaches | [['predictive', 'models', 'learned', 'from', 'historical', 'data', 'are', 'widely', 'used', 'to', 'help', 'companies', 'and', 'organizations', 'make', 'decisions', 'however', 'they', 'may', 'digitally', 'unfairly', 'treat', 'unwanted', 'groups', 'raising', 'concerns', 'about', 'fairness', 'and', 'discrimination', 'in', 'this', 'paper', 'we', 'study', 'the', 'fairnessaware', 'ranking', 'problem', 'which', 'aims', 'to', 'discover', 'discrimination', 'in', 'ranked', 'datasets', 'and', 'reconstruct', 'the', 'fair', 'ranking', 'existing', 'methods', 'in', 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1,803.01902 | Local Electronic Structure Changes in Polycrystalline CdTe with CdCl$_2$
Treatment and Air Exposure | Post-deposition CdCl$_2$ treatment of polycrystalline CdTe is known to
increase photovoltaic efficiency. However, the precise chemical, structural,
and electronic changes that underpin this improvement are still debated. In
this study, spectroscopic photoemission electron microscopy was used to
spatially map the vacuum level and ionization energy of CdTe films, enabling
the identification of electronic structure variations between grains and grain
boundaries. In vacuo preparation and inert transfer of oxide-free CdTe surfaces
isolated the separate effects of CdCl$_2$ treatment and ambient oxygen
exposure. Qualitatively, grain boundaries displayed lower work function and
downward band bending relative to grain interiors, but only after air exposure
of CdCl$_2$-treated CdTe. Analysis of numerous space charge regions at grain
boundaries (GBs) showed an average depletion width of 290 nm and an average
band bending magnitude of 70 meV, corresponding to a GB trap density of
10$^{11}$ cm$^{-2}$ and a net carrier density of 10$^{15}$ cm$^{-3}$. These
results suggest that both CdCl$_2$ treatment and oxygen exposure may be
independently tuned to enhance CdTe photovoltaic performance by engineering the
interface and bulk electronic structure.
| cond-mat.mtrl-sci cond-mat.mes-hall physics.app-ph physics.chem-ph physics.ins-det | postdeposition cdcl_2 treatment of polycrystalline cdte is known to increase photovoltaic efficiency however the precise chemical structural and electronic changes that underpin this improvement are still debated in this study spectroscopic photoemission electron microscopy was used to spatially map the vacuum level and ionization energy of cdte films enabling the identification of electronic structure variations between grains and grain boundaries in vacuo preparation and inert transfer of oxidefree cdte surfaces isolated the separate effects of cdcl_2 treatment and ambient oxygen exposure qualitatively grain boundaries displayed lower work function and downward band bending relative to grain interiors but only after air exposure of cdcl_2treated cdte analysis of numerous space charge regions at grain boundaries gbs showed an average depletion width of 290 nm and an average band bending magnitude of 70 mev corresponding to a gb trap density of 1011 cm2 and a net carrier density of 1015 cm3 these results suggest that both cdcl_2 treatment and oxygen exposure may be independently tuned to enhance cdte photovoltaic performance by engineering the interface and bulk electronic structure | [['postdeposition', 'cdcl_2', 'treatment', 'of', 'polycrystalline', 'cdte', 'is', 'known', 'to', 'increase', 'photovoltaic', 'efficiency', 'however', 'the', 'precise', 'chemical', 'structural', 'and', 'electronic', 'changes', 'that', 'underpin', 'this', 'improvement', 'are', 'still', 'debated', 'in', 'this', 'study', 'spectroscopic', 'photoemission', 'electron', 'microscopy', 'was', 'used', 'to', 'spatially', 'map', 'the', 'vacuum', 'level', 'and', 'ionization', 'energy', 'of', 'cdte', 'films', 'enabling', 'the', 'identification', 'of', 'electronic', 'structure', 'variations', 'between', 'grains', 'and', 'grain', 'boundaries', 'in', 'vacuo', 'preparation', 'and', 'inert', 'transfer', 'of', 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1,803.01903 | The Orion fingers: H$_2$ temperatures and excitation in an explosive
outflow | We measure H$_2$ temperatures and column densities across the Orion BN/KL
explosive outflow from a set of thirteen near-IR H$_2$ rovibrational emission
lines observed with the TripleSpec spectrograph on Apache Point Observatory's
3.5-meter telescope. We find that most of the region is well-characterized by a
single temperature (~2000-2500 K), which may be influenced by the limited range
of upper energy levels (6000-20,000 K) probed by our data set. The H$_2$ column
density maps indicate that warm H$_2$ comprises 10$^{-5}$ - 10$^{-3}$ of the
total H$_2$ column density near the center of the outflow. Combining column
density measurements for co-spatial H$_2$ and CO at T = 2500 K, we measure a
CO/H$_2$ fractional abundance of 2$\times$10$^{-3}$, and discuss possible
reasons why this value is in excess of the canonical 10$^{-4}$ value, including
dust attenuation, incorrect assumptions on co-spatiality of the H$_2$ and CO
emission, and chemical processing in an extreme environment. We model the
radiative transfer of H$_2$ in this region with UV pumping models to look for
signatures of H$_2$ fluorescence from H I Ly$\alpha$ pumping. Dissociative
(J-type) shocks and nebular emission from the foreground Orion H II region are
considered as possible Ly$\alpha$ sources. From our radiative transfer models,
we predict that signatures of Ly$\alpha$ pumping should be detectable in
near-IR line ratios given a sufficiently strong source, but such a source is
not present in the BN/KL outflow. The data are consistent with shocks as the
H$_2$ heating source.
| astro-ph.GA | we measure h_2 temperatures and column densities across the orion bnkl explosive outflow from a set of thirteen nearir h_2 rovibrational emission lines observed with the triplespec spectrograph on apache point observatorys 35meter telescope we find that most of the region is wellcharacterized by a single temperature 20002500 k which may be influenced by the limited range of upper energy levels 600020000 k probed by our data set the h_2 column density maps indicate that warm h_2 comprises 105 103 of the total h_2 column density near the center of the outflow combining column density measurements for cospatial h_2 and co at t 2500 k we measure a coh_2 fractional abundance of 2times103 and discuss possible reasons why this value is in excess of the canonical 104 value including dust attenuation incorrect assumptions on cospatiality of the h_2 and co emission and chemical processing in an extreme environment we model the radiative transfer of h_2 in this region with uv pumping models to look for signatures of h_2 fluorescence from h i lyalpha pumping dissociative jtype shocks and nebular emission from the foreground orion h ii region are considered as possible lyalpha sources from our radiative transfer models we predict that signatures of lyalpha pumping should be detectable in nearir line ratios given a sufficiently strong source but such a source is not present in the bnkl outflow the data are consistent with shocks as the h_2 heating source | [['we', 'measure', 'h_2', 'temperatures', 'and', 'column', 'densities', 'across', 'the', 'orion', 'bnkl', 'explosive', 'outflow', 'from', 'a', 'set', 'of', 'thirteen', 'nearir', 'h_2', 'rovibrational', 'emission', 'lines', 'observed', 'with', 'the', 'triplespec', 'spectrograph', 'on', 'apache', 'point', 'observatorys', '35meter', 'telescope', 'we', 'find', 'that', 'most', 'of', 'the', 'region', 'is', 'wellcharacterized', 'by', 'a', 'single', 'temperature', '20002500', 'k', 'which', 'may', 'be', 'influenced', 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1,803.01904 | Unified thermodynamic uncertainty relations in linear response | Thermodynamic uncertainty relations (TURs) are recently established relations
between the relative uncertainty of time-integrated currents and entropy
production in nonequilibrium systems. For small perturbations away from
equilibrium, linear response (LR) theory provides the natural framework to
study generic nonequilibrium processes. Here we use LR to derive TURs in a
straightforward and unified way. Our approach allows us to generalize TURs to
systems without local time reversal symmetry, including, for example, ballistic
transport, and periodically driven classical and quantum systems. We find that
for broken time reversal, the bounds on the relative uncertainty are controlled
both by dissipation and by a parameter encoding the asymmetry of the Onsager
matrix. We illustrate our results with an example from mesoscopic physics. We
also extend our approach beyond linear response: for Markovian dynamics it
reveals a connection between the TUR and current fluctuation theorems.
| cond-mat.stat-mech | thermodynamic uncertainty relations turs are recently established relations between the relative uncertainty of timeintegrated currents and entropy production in nonequilibrium systems for small perturbations away from equilibrium linear response lr theory provides the natural framework to study generic nonequilibrium processes here we use lr to derive turs in a straightforward and unified way our approach allows us to generalize turs to systems without local time reversal symmetry including for example ballistic transport and periodically driven classical and quantum systems we find that for broken time reversal the bounds on the relative uncertainty are controlled both by dissipation and by a parameter encoding the asymmetry of the onsager matrix we illustrate our results with an example from mesoscopic physics we also extend our approach beyond linear response for markovian dynamics it reveals a connection between the tur and current fluctuation theorems | [['thermodynamic', 'uncertainty', 'relations', 'turs', 'are', 'recently', 'established', 'relations', 'between', 'the', 'relative', 'uncertainty', 'of', 'timeintegrated', 'currents', 'and', 'entropy', 'production', 'in', 'nonequilibrium', 'systems', 'for', 'small', 'perturbations', 'away', 'from', 'equilibrium', 'linear', 'response', 'lr', 'theory', 'provides', 'the', 'natural', 'framework', 'to', 'study', 'generic', 'nonequilibrium', 'processes', 'here', 'we', 'use', 'lr', 'to', 'derive', 'turs', 'in', 'a', 'straightforward', 'and', 'unified', 'way', 'our', 'approach', 'allows', 'us', 'to', 'generalize', 'turs', 'to', 'systems', 'without', 'local', 'time', 'reversal', 'symmetry', 'including', 'for', 'example', 'ballistic', 'transport', 'and', 'periodically', 'driven', 'classical', 'and', 'quantum', 'systems', 'we', 'find', 'that', 'for', 'broken', 'time', 'reversal', 'the', 'bounds', 'on', 'the', 'relative', 'uncertainty', 'are', 'controlled', 'both', 'by', 'dissipation', 'and', 'by', 'a', 'parameter', 'encoding', 'the', 'asymmetry', 'of', 'the', 'onsager', 'matrix', 'we', 'illustrate', 'our', 'results', 'with', 'an', 'example', 'from', 'mesoscopic', 'physics', 'we', 'also', 'extend', 'our', 'approach', 'beyond', 'linear', 'response', 'for', 'markovian', 'dynamics', 'it', 'reveals', 'a', 'connection', 'between', 'the', 'tur', 'and', 'current', 'fluctuation', 'theorems']] | [-0.09490287961338513, 0.12862418122417044, -0.11201729984687907, 0.09760002908296883, -0.04688461251290781, -0.1375352376839146, 0.08831541109081757, 0.3120560043291854, -0.3096092323223794, -0.28308693279645275, 0.050338074361206964, -0.2594438440117561, -0.1637008030632777, 0.2254341985913925, -0.019266519858501852, 0.08027309895759183, -0.01572226399522541, -0.027766127940932556, -0.09968144096700209, -0.15007706455071457, 0.2865616110053712, 0.02466879193088971, 0.3031118759186938, 0.04625908436220405, 0.08728524220225933, 0.03442463356602405, -0.020327900377950365, 0.02512690916857017, -0.15626950470058157, 0.10180862431713779, 0.21443946287732354, 0.05904865014100713, 0.20097347647284292, -0.4594083592029555, -0.2145737332225378, 0.07975174691195466, 0.08590951162290626, 0.16129276585831706, -0.0424231155634126, -0.28291576113551853, 0.025238363268519085, -0.18556411287281663, -0.12194727678350838, -0.1442145108478144, 0.026124131978888597, 0.004833533563318529, -0.28521216915521236, 0.1540246107031375, 0.09872528088464086, 0.06031465564488566, -0.038173725393218255, -0.033751479922128576, -0.008829003569137838, 0.11109589372561979, 0.02096189959930988, -0.037063243956903795, 0.15472957750732477, -0.08893972465136488, -0.1491669558737028, 0.3466859061071383, -0.0767208807320068, -0.19912296705712965, 0.2006692926998117, -0.14708384643974048, -0.14408358201451069, 0.0537615778955764, 0.1606132600123861, 0.08807670785712876, -0.19651765350385436, 0.09619748395717968, -0.014961521793156862, 0.13696457998261655, 0.007318298698269895, 0.04761168204713613, 0.20249200079124421, 0.151291814353317, 0.06063400367607496, 0.1614790886018974, -0.0539677053390603, -0.18488747985767467, -0.33546781378266005, -0.13980861897580327, -0.14067497035222395, 0.05929033751433183, -0.08073942968850523, -0.0890711307827587, 0.3569605507122885, 0.19928244351800198, 0.1774279418135328, 0.10856095992328067, 0.26732594974538576, 0.152099968093015, 0.026138350686856677, 0.06665364538452455, 0.24021811031104465, 0.18534101958336707, 0.10572885449510068, -0.2681811889999413, 0.050782731381644096, 0.054264680668711665] |
1,803.01905 | Convergence of Gradient Descent on Separable Data | We provide a detailed study on the implicit bias of gradient descent when
optimizing loss functions with strictly monotone tails, such as the logistic
loss, over separable datasets. We look at two basic questions: (a) what are the
conditions on the tail of the loss function under which gradient descent
converges in the direction of the $L_2$ maximum-margin separator? (b) how does
the rate of margin convergence depend on the tail of the loss function and the
choice of the step size? We show that for a large family of super-polynomial
tailed losses, gradient descent iterates on linear networks of any depth
converge in the direction of $L_2$ maximum-margin solution, while this does not
hold for losses with heavier tails. Within this family, for simple linear
models we show that the optimal rates with fixed step size is indeed obtained
for the commonly used exponentially tailed losses such as logistic loss.
However, with a fixed step size the optimal convergence rate is extremely slow
as $1/\log(t)$, as also proved in Soudry et al. (2018). For linear models with
exponential loss, we further prove that the convergence rate could be improved
to $\log (t) /\sqrt{t}$ by using aggressive step sizes that compensates for the
rapidly vanishing gradients. Numerical results suggest this method might be
useful for deep networks.
| stat.ML cs.LG | we provide a detailed study on the implicit bias of gradient descent when optimizing loss functions with strictly monotone tails such as the logistic loss over separable datasets we look at two basic questions a what are the conditions on the tail of the loss function under which gradient descent converges in the direction of the l_2 maximummargin separator b how does the rate of margin convergence depend on the tail of the loss function and the choice of the step size we show that for a large family of superpolynomial tailed losses gradient descent iterates on linear networks of any depth converge in the direction of l_2 maximummargin solution while this does not hold for losses with heavier tails within this family for simple linear models we show that the optimal rates with fixed step size is indeed obtained for the commonly used exponentially tailed losses such as logistic loss however with a fixed step size the optimal convergence rate is extremely slow as 1logt as also proved in soudry et al 2018 for linear models with exponential loss we further prove that the convergence rate could be improved to log t sqrtt by using aggressive step sizes that compensates for the rapidly vanishing gradients numerical results suggest this method might be useful for deep networks | [['we', 'provide', 'a', 'detailed', 'study', 'on', 'the', 'implicit', 'bias', 'of', 'gradient', 'descent', 'when', 'optimizing', 'loss', 'functions', 'with', 'strictly', 'monotone', 'tails', 'such', 'as', 'the', 'logistic', 'loss', 'over', 'separable', 'datasets', 'we', 'look', 'at', 'two', 'basic', 'questions', 'a', 'what', 'are', 'the', 'conditions', 'on', 'the', 'tail', 'of', 'the', 'loss', 'function', 'under', 'which', 'gradient', 'descent', 'converges', 'in', 'the', 'direction', 'of', 'the', 'l_2', 'maximummargin', 'separator', 'b', 'how', 'does', 'the', 'rate', 'of', 'margin', 'convergence', 'depend', 'on', 'the', 'tail', 'of', 'the', 'loss', 'function', 'and', 'the', 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1,803.01906 | Abnormality Detection in Mammography using Deep Convolutional Neural
Networks | Breast cancer is the most common cancer in women worldwide. The most common
screening technology is mammography. To reduce the cost and workload of
radiologists, we propose a computer aided detection approach for classifying
and localizing calcifications and masses in mammogram images. To improve on
conventional approaches, we apply deep convolutional neural networks (CNN) for
automatic feature learning and classifier building. In computer-aided
mammography, deep CNN classifiers cannot be trained directly on full mammogram
images because of the loss of image details from resizing at input layers.
Instead, our classifiers are trained on labelled image patches and then adapted
to work on full mammogram images for localizing the abnormalities.
State-of-the-art deep convolutional neural networks are compared on their
performance of classifying the abnormalities. Experimental results indicate
that VGGNet receives the best overall accuracy at 92.53\% in classifications.
For localizing abnormalities, ResNet is selected for computing class activation
maps because it is ready to be deployed without structural change or further
training. Our approach demonstrates that deep convolutional neural network
classifiers have remarkable localization capabilities despite no supervision on
the location of abnormalities is provided.
| cs.CV | breast cancer is the most common cancer in women worldwide the most common screening technology is mammography to reduce the cost and workload of radiologists we propose a computer aided detection approach for classifying and localizing calcifications and masses in mammogram images to improve on conventional approaches we apply deep convolutional neural networks cnn for automatic feature learning and classifier building in computeraided mammography deep cnn classifiers cannot be trained directly on full mammogram images because of the loss of image details from resizing at input layers instead our classifiers are trained on labelled image patches and then adapted to work on full mammogram images for localizing the abnormalities stateoftheart deep convolutional neural networks are compared on their performance of classifying the abnormalities experimental results indicate that vggnet receives the best overall accuracy at 9253 in classifications for localizing abnormalities resnet is selected for computing class activation maps because it is ready to be deployed without structural change or further training our approach demonstrates that deep convolutional neural network classifiers have remarkable localization capabilities despite no supervision on the location of abnormalities is provided | [['breast', 'cancer', 'is', 'the', 'most', 'common', 'cancer', 'in', 'women', 'worldwide', 'the', 'most', 'common', 'screening', 'technology', 'is', 'mammography', 'to', 'reduce', 'the', 'cost', 'and', 'workload', 'of', 'radiologists', 'we', 'propose', 'a', 'computer', 'aided', 'detection', 'approach', 'for', 'classifying', 'and', 'localizing', 'calcifications', 'and', 'masses', 'in', 'mammogram', 'images', 'to', 'improve', 'on', 'conventional', 'approaches', 'we', 'apply', 'deep', 'convolutional', 'neural', 'networks', 'cnn', 'for', 'automatic', 'feature', 'learning', 'and', 'classifier', 'building', 'in', 'computeraided', 'mammography', 'deep', 'cnn', 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1,803.01907 | Colors and Shapes of the Irregular Planetary Satellites | It is widely recognized that the irregular satellites of the giant planets
were captured from initially heliocentric orbits. However, the mechanism of
capture and the source region from which they were captured both remain
unknown. We present an optical color survey of 43 irregular satellites of the
outer planets conducted using the LRIS camera on the 10-meter telescope at the
Keck Observatory in Hawaii. The measured colors are compared to other planetary
bodies in search for similarities and differences that may reflect upon the
origin of the satellites. We find that ultrared matter (with color index B-R
$\ge$ 1.6), while abundant in the Kuiper belt and Centaur populations, is
depleted from the irregular satellites. We also use repeated determinations of
the absolute magnitudes to make a statistical estimate of the average shape of
the irregular satellites. The data provide no evidence that the satellites and
the main-belt asteroids are differently shaped, consistent with collisions as
the major agent shaping both.
| astro-ph.EP | it is widely recognized that the irregular satellites of the giant planets were captured from initially heliocentric orbits however the mechanism of capture and the source region from which they were captured both remain unknown we present an optical color survey of 43 irregular satellites of the outer planets conducted using the lris camera on the 10meter telescope at the keck observatory in hawaii the measured colors are compared to other planetary bodies in search for similarities and differences that may reflect upon the origin of the satellites we find that ultrared matter with color index br ge 16 while abundant in the kuiper belt and centaur populations is depleted from the irregular satellites we also use repeated determinations of the absolute magnitudes to make a statistical estimate of the average shape of the irregular satellites the data provide no evidence that the satellites and the mainbelt asteroids are differently shaped consistent with collisions as the major agent shaping both | [['it', 'is', 'widely', 'recognized', 'that', 'the', 'irregular', 'satellites', 'of', 'the', 'giant', 'planets', 'were', 'captured', 'from', 'initially', 'heliocentric', 'orbits', 'however', 'the', 'mechanism', 'of', 'capture', 'and', 'the', 'source', 'region', 'from', 'which', 'they', 'were', 'captured', 'both', 'remain', 'unknown', 'we', 'present', 'an', 'optical', 'color', 'survey', 'of', '43', 'irregular', 'satellites', 'of', 'the', 'outer', 'planets', 'conducted', 'using', 'the', 'lris', 'camera', 'on', 'the', '10meter', 'telescope', 'at', 'the', 'keck', 'observatory', 'in', 'hawaii', 'the', 'measured', 'colors', 'are', 'compared', 'to', 'other', 'planetary', 'bodies', 'in', 'search', 'for', 'similarities', 'and', 'differences', 'that', 'may', 'reflect', 'upon', 'the', 'origin', 'of', 'the', 'satellites', 'we', 'find', 'that', 'ultrared', 'matter', 'with', 'color', 'index', 'br', 'ge', '16', 'while', 'abundant', 'in', 'the', 'kuiper', 'belt', 'and', 'centaur', 'populations', 'is', 'depleted', 'from', 'the', 'irregular', 'satellites', 'we', 'also', 'use', 'repeated', 'determinations', 'of', 'the', 'absolute', 'magnitudes', 'to', 'make', 'a', 'statistical', 'estimate', 'of', 'the', 'average', 'shape', 'of', 'the', 'irregular', 'satellites', 'the', 'data', 'provide', 'no', 'evidence', 'that', 'the', 'satellites', 'and', 'the', 'mainbelt', 'asteroids', 'are', 'differently', 'shaped', 'consistent', 'with', 'collisions', 'as', 'the', 'major', 'agent', 'shaping', 'both']] | [-0.08322299142018892, 0.12530611764022978, -0.1323996388615342, 0.1026520712664933, -0.05019962254446, -0.054158572250162254, 0.00343608944240259, 0.40725456511136143, -0.16213374414364806, -0.38170434726634994, 0.10128067628102144, -0.3274046252889093, -0.12066180312431243, 0.18215817605232587, -0.12241394513275736, -0.014330222813441651, 0.11771997095784173, -0.04336751251594251, -0.005380444447655464, -0.25434795308392494, 0.26996448915451765, 0.06642123813653597, 0.12506373579381033, -0.09309691689268221, 0.07506712327231072, -0.029261464145383796, -0.07493729715642986, -0.031296167956315915, -0.13547608454337023, 0.08624258533109241, 0.22414238111668966, 0.10050720430972433, 0.1711408404953545, -0.4214571805787273, -0.15429489176312927, 0.08158714843302732, 0.15205932703684083, 0.03888029558074777, -0.06789182732682093, -0.32229978961404415, 0.07138763748225756, -0.15531844614670262, -0.18700969194178468, 0.07181726323324256, 0.091994569147937, 0.05155762265094381, -0.19196564156445675, 0.05902557783829252, 0.044720601305016316, 0.12744585811742581, -0.14122683425957802, -0.18066731610160786, -0.08726547517071595, 0.15505798378144392, 0.026208717714689557, 0.006539524809340946, 0.1703769103718514, -0.11125085639723693, -0.025362921514897607, 0.4097172555673751, -0.049915219149261246, -0.017429126516799443, 0.25133624951704403, -0.22141814816495753, -0.12372213397466111, 0.1399871979643649, 0.18628740971325897, 0.10887842526426539, -0.16472434021497975, 0.04382820544124115, -0.06425529647094663, 0.2015020074439235, 0.09974106183071854, 0.08547450805708649, 0.306498445966281, 0.10259036219722475, 0.06630993617472995, 0.05910434433571936, -0.24701033723104046, -0.07213694911042694, -0.19479745336866472, -0.08597984973312123, -0.17534581748477648, -0.027104476239765064, -0.08904241248346807, -0.10340253575441238, 0.33044744199723936, 0.1377955230862426, 0.21767743606615114, 0.027423618682223604, 0.3098249988135649, 0.025067393251083557, 0.13995703947730362, 0.09939370819629403, 0.3327915468777064, 0.06549866979039506, 0.07458584258711198, -0.2285033828302403, 0.11335158192669041, -0.02850836575671565] |
1,803.01908 | The Gaia-ESO Survey: kinematical and dynamical study of four young open
clusters | Context. The origin and dynamical evolution of star clusters is an important
topic in stellar astrophysics. Several models have been proposed to understand
the formation of bound and unbound clusters and their evolution, and these can
be tested by examining the kinematical and dynamical properties of clusters
over a wide range of ages and masses. Aims. We use the Gaia-ESO Survey products
to study four open clusters (IC 2602, IC 2391, IC 4665, and NGC 2547) that lie
in the age range between 20 and 50 Myr. Methods. We employ the gravity index
$\gamma$ and the equivalent width of the lithium line at 6708 $\AA$, together
with effective temperature $\rm{T_{eff}}$, and the metallicity of the stars in
order to discard observed contaminant stars. Then, we derive the cluster radial
velocity dispersions $\sigma_c$, the total cluster mass $\rm{M}_{tot}$, and the
half mass radius $r_{hm}$. Using the $Gaia$-DR1 TGAS catalogue, we
independently derive the intrinsic velocity dispersion of the clusters from the
astrometric parameters of cluster members. Results. The intrinsic radial
velocity dispersions derived by the spectroscopic data are larger than those
derived from the TGAS data, possibly due to the different masses of the
considered stars. Using $\rm{M}_{tot}$ and $r_{hm}$ we derive the virial
velocity dispersion $\sigma_{vir}$ and we find that three out of four clusters
are supervirial. This result is in agreement with the hypothesis that these
clusters are dispersing, as predicted by the "residual gas expulsion" scenario.
However, recent simulations show that the virial ratio of young star clusters
may be overestimated if it is determined using the global velocity dispersion,
since the clusters are not fully relaxed.
| astro-ph.SR astro-ph.GA | context the origin and dynamical evolution of star clusters is an important topic in stellar astrophysics several models have been proposed to understand the formation of bound and unbound clusters and their evolution and these can be tested by examining the kinematical and dynamical properties of clusters over a wide range of ages and masses aims we use the gaiaeso survey products to study four open clusters ic 2602 ic 2391 ic 4665 and ngc 2547 that lie in the age range between 20 and 50 myr methods we employ the gravity index gamma and the equivalent width of the lithium line at 6708 aa together with effective temperature rmt_eff and the metallicity of the stars in order to discard observed contaminant stars then we derive the cluster radial velocity dispersions sigma_c the total cluster mass rmm_tot and the half mass radius r_hm using the gaiadr1 tgas catalogue we independently derive the intrinsic velocity dispersion of the clusters from the astrometric parameters of cluster members results the intrinsic radial velocity dispersions derived by the spectroscopic data are larger than those derived from the tgas data possibly due to the different masses of the considered stars using rmm_tot and r_hm we derive the virial velocity dispersion sigma_vir and we find that three out of four clusters are supervirial this result is in agreement with the hypothesis that these clusters are dispersing as predicted by the residual gas expulsion scenario however recent simulations show that the virial ratio of young star clusters may be overestimated if it is determined using the global velocity dispersion since the clusters are not fully relaxed | [['context', 'the', 'origin', 'and', 'dynamical', 'evolution', 'of', 'star', 'clusters', 'is', 'an', 'important', 'topic', 'in', 'stellar', 'astrophysics', 'several', 'models', 'have', 'been', 'proposed', 'to', 'understand', 'the', 'formation', 'of', 'bound', 'and', 'unbound', 'clusters', 'and', 'their', 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1,803.01909 | Measurement of Elastoresistivity at Finite Frequency by Amplitude
Demodulation | Elastoresistivity, the relation between resistivity and strain, can elucidate
subtle properties of the electronic structure of a material and is an
increasingly important tool for the study of strongly correlated materials. To
date, elastoresistivity measurements have been predominantly performed with
quasi-static (DC) strain. In this work, we demonstrate a method for using AC
strain in elastoresistivity measurements. A sample experiencing AC strain has a
time-dependent resistivity, which modulates the voltage produced by an AC
current; this effect produces time-dependent variations in resisitivity that
are directly proportional to the elastoresistivity, and which can be measured
more quickly, with less strain on the sample, and with less stringent
requirements for temperature stability than the previous DC technique. Example
measurements between 10 Hz and 3 kHz are performed on a material with a large,
well-characterized and temperature dependent elastoresistivity: the
representative iron-based superconductor BaFe$_{1.975}$Co$_{0.025}$As$_2$.
These measurements yield a frequency independent elastoresistivity and
reproduce results from previous DC elastoresistivity methods to within
experimental accuracy. We emphasize that the dynamic (AC) elastoresistivity is
a distinct material-specific property that has not previously been considered.
| cond-mat.str-el cond-mat.mtrl-sci | elastoresistivity the relation between resistivity and strain can elucidate subtle properties of the electronic structure of a material and is an increasingly important tool for the study of strongly correlated materials to date elastoresistivity measurements have been predominantly performed with quasistatic dc strain in this work we demonstrate a method for using ac strain in elastoresistivity measurements a sample experiencing ac strain has a timedependent resistivity which modulates the voltage produced by an ac current this effect produces timedependent variations in resisitivity that are directly proportional to the elastoresistivity and which can be measured more quickly with less strain on the sample and with less stringent requirements for temperature stability than the previous dc technique example measurements between 10 hz and 3 khz are performed on a material with a large wellcharacterized and temperature dependent elastoresistivity the representative ironbased superconductor bafe_1975co_0025as_2 these measurements yield a frequency independent elastoresistivity and reproduce results from previous dc elastoresistivity methods to within experimental accuracy we emphasize that the dynamic ac elastoresistivity is a distinct materialspecific property that has not previously been considered | [['elastoresistivity', 'the', 'relation', 'between', 'resistivity', 'and', 'strain', 'can', 'elucidate', 'subtle', 'properties', 'of', 'the', 'electronic', 'structure', 'of', 'a', 'material', 'and', 'is', 'an', 'increasingly', 'important', 'tool', 'for', 'the', 'study', 'of', 'strongly', 'correlated', 'materials', 'to', 'date', 'elastoresistivity', 'measurements', 'have', 'been', 'predominantly', 'performed', 'with', 'quasistatic', 'dc', 'strain', 'in', 'this', 'work', 'we', 'demonstrate', 'a', 'method', 'for', 'using', 'ac', 'strain', 'in', 'elastoresistivity', 'measurements', 'a', 'sample', 'experiencing', 'ac', 'strain', 'has', 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1,803.0191 | First Measurement of the Ti$(e,e^\prime){\rm X}$ Cross Section at
Jefferson Lab | To probe CP violation in the leptonic sector using GeV energy neutrino beams
in current and future experiments using argon detectors, precise models of the
complex underlying neutrino and antineutrino interactions are needed. The
E12-14-012 experiment at Jefferson Lab Hall A was designed to perform a
combined analysis of inclusive and exclusive electron scatterings on both argon
($N = 22$) and titanium ($Z = 22$) nuclei using GeV energy electron beams. The
measurement on titanium nucleus provides essential information to understand
the neutrino scattering on argon, large contribution to which comes from
scattering off neutrons. Here we report the first experimental study of
electron-titanium scattering as double differential cross section at beam
energy $E=2.222$ GeV and electron scattering angle $\theta = 15.541$ deg,
measured over a broad range of energy transfer, spanning the kinematical
regions in which quasielastic scattering and delta production are the dominant
reaction mechanisms. The data provide valuable new information needed to
develop accurate theoretical models of the electromagnetic and weak cross
sections of these complex nuclei in the kinematic regime of interest to
neutrino experiments.
| nucl-ex hep-ex nucl-th | to probe cp violation in the leptonic sector using gev energy neutrino beams in current and future experiments using argon detectors precise models of the complex underlying neutrino and antineutrino interactions are needed the e1214012 experiment at jefferson lab hall a was designed to perform a combined analysis of inclusive and exclusive electron scatterings on both argon n 22 and titanium z 22 nuclei using gev energy electron beams the measurement on titanium nucleus provides essential information to understand the neutrino scattering on argon large contribution to which comes from scattering off neutrons here we report the first experimental study of electrontitanium scattering as double differential cross section at beam energy e2222 gev and electron scattering angle theta 15541 deg measured over a broad range of energy transfer spanning the kinematical regions in which quasielastic scattering and delta production are the dominant reaction mechanisms the data provide valuable new information needed to develop accurate theoretical models of the electromagnetic and weak cross sections of these complex nuclei in the kinematic regime of interest to neutrino experiments | [['to', 'probe', 'cp', 'violation', 'in', 'the', 'leptonic', 'sector', 'using', 'gev', 'energy', 'neutrino', 'beams', 'in', 'current', 'and', 'future', 'experiments', 'using', 'argon', 'detectors', 'precise', 'models', 'of', 'the', 'complex', 'underlying', 'neutrino', 'and', 'antineutrino', 'interactions', 'are', 'needed', 'the', 'e1214012', 'experiment', 'at', 'jefferson', 'lab', 'hall', 'a', 'was', 'designed', 'to', 'perform', 'a', 'combined', 'analysis', 'of', 'inclusive', 'and', 'exclusive', 'electron', 'scatterings', 'on', 'both', 'argon', 'n', '22', 'and', 'titanium', 'z', '22', 'nuclei', 'using', 'gev', 'energy', 'electron', 'beams', 'the', 'measurement', 'on', 'titanium', 'nucleus', 'provides', 'essential', 'information', 'to', 'understand', 'the', 'neutrino', 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1,803.01911 | Dagger and Dilation in the Category of Von Neumann algebras | This doctoral thesis is a mathematical study of quantum computing,
concentrating on two related, but independent topics. First up are dilations,
covered in chapter 2. In chapter 3 "diamond, andthen, dagger" we turn to the
second topic: effectus theory. Both chapters, or rather parts, can be read
separately and feature a comprehensive introduction of their own.
| math.OA cs.LO math.FA math.QA | this doctoral thesis is a mathematical study of quantum computing concentrating on two related but independent topics first up are dilations covered in chapter 2 in chapter 3 diamond andthen dagger we turn to the second topic effectus theory both chapters or rather parts can be read separately and feature a comprehensive introduction of their own | [['this', 'doctoral', 'thesis', 'is', 'a', 'mathematical', 'study', 'of', 'quantum', 'computing', 'concentrating', 'on', 'two', 'related', 'but', 'independent', 'topics', 'first', 'up', 'are', 'dilations', 'covered', 'in', 'chapter', '2', 'in', 'chapter', '3', 'diamond', 'andthen', 'dagger', 'we', 'turn', 'to', 'the', 'second', 'topic', 'effectus', 'theory', 'both', 'chapters', 'or', 'rather', 'parts', 'can', 'be', 'read', 'separately', 'and', 'feature', 'a', 'comprehensive', 'introduction', 'of', 'their', 'own']] | [-0.052415488491533324, 0.1226766400671165, -0.08875097667831662, 0.02027057367376983, -0.11101078262020435, -0.15743652017720575, 0.021833323351789398, 0.3504120665602386, -0.26517431331532343, -0.295623810512812, 0.15282653779805905, -0.30216012370822554, -0.15107730222683, 0.13326000651328027, -0.10745310640361692, -0.049096072608205886, 0.021915423592352972, 0.04868637920091195, -0.0691333957781483, -0.3390018822226141, 0.32069672873227056, 0.026562794334105484, 0.2315771274567981, 0.06181212189507538, 0.03347394781719361, -0.017425078790568347, -0.16086842927948705, 0.005555891082622111, -0.11624419433064759, 0.2130164815212733, 0.3308342381580068, 0.11668175682266987, 0.31233008340599816, -0.4364153023343533, -0.11792317802818227, 0.028378033149887676, 0.14775546734121495, 0.08280995571320611, 0.005179315021710603, -0.2612479634782566, 0.0595599144165005, -0.19844628917053342, -0.07915943476005591, -0.04813413554802537, 0.020316285180992315, -0.04567537028508793, -0.13177562653020555, 0.006342377903430523, 0.16336614715068468, 0.11351554285335753, -0.010583994692361947, -0.15682501026562282, 0.06511710016223203, 0.11711733047767277, 0.014642154062000503, 0.05446673392933527, 0.1557866322774706, -0.10739665411529131, -0.14133354083501867, 0.3649394776938217, 0.017598641104996204, -0.1734298358205706, 0.1644126404675522, -0.11011960545355189, -0.1973987696068694, 0.045258316660432944, 0.1929151850220348, 0.14151427705240036, -0.2039915216986888, 0.10944587215843578, 0.013036903010548226, 0.17326934956612863, 0.11605801685280832, 0.04434079014962273, 0.2367604119748908, 0.16490816193566257, -0.00316054789748575, 0.1556617505993927, 0.02039243159898823, -0.15537512739787676, -0.37329589582181405, -0.18023502026751106, -0.16015522872164314, 0.08054888971050136, 0.03393879473800813, -0.12369120646534222, 0.4491209767293185, 0.1072084924858895, 0.13451867642080678, -0.0025219063640439083, 0.24797603148700936, 0.028608643083966205, -0.0048409963918467315, 0.01932626709042649, 0.15705024728751077, 0.15273946393946453, 0.11614050347790388, -0.035770281039731344, -0.0208642575390903, 0.07278253939667982] |
1,803.01912 | On the Unsolvability of Bosonic Quantum Fields | Two general unsolvability arguments for interacting bosonic quantum field
theories are presented, based on Dyson-Schwinger equations on the lattice and
cardinality considerations. The first argument is related to the fact that, on
a lattice of size N, the system of lattice Dyson-Schwinger equations closes on
a basis of "primitive correlators" which is finite, but grows exponentially
with N. By properly defining the continuum limit, one finds for N -> infinity a
countably-infinite basis of the primitive correlators. The second argument is
that any conceivable exact analytic calculation of the primitive correlators
involves, in the continuum limit, a linear system of coupled partial
differential equations on an infinite number of unknown functions, namely the
primitive correlators, evolving with respect to an infinite number of
independent variables.
| math-ph hep-th math.MP | two general unsolvability arguments for interacting bosonic quantum field theories are presented based on dysonschwinger equations on the lattice and cardinality considerations the first argument is related to the fact that on a lattice of size n the system of lattice dysonschwinger equations closes on a basis of primitive correlators which is finite but grows exponentially with n by properly defining the continuum limit one finds for n infinity a countablyinfinite basis of the primitive correlators the second argument is that any conceivable exact analytic calculation of the primitive correlators involves in the continuum limit a linear system of coupled partial differential equations on an infinite number of unknown functions namely the primitive correlators evolving with respect to an infinite number of independent variables | [['two', 'general', 'unsolvability', 'arguments', 'for', 'interacting', 'bosonic', 'quantum', 'field', 'theories', 'are', 'presented', 'based', 'on', 'dysonschwinger', 'equations', 'on', 'the', 'lattice', 'and', 'cardinality', 'considerations', 'the', 'first', 'argument', 'is', 'related', 'to', 'the', 'fact', 'that', 'on', 'a', 'lattice', 'of', 'size', 'n', 'the', 'system', 'of', 'lattice', 'dysonschwinger', 'equations', 'closes', 'on', 'a', 'basis', 'of', 'primitive', 'correlators', 'which', 'is', 'finite', 'but', 'grows', 'exponentially', 'with', 'n', 'by', 'properly', 'defining', 'the', 'continuum', 'limit', 'one', 'finds', 'for', 'n', 'infinity', 'a', 'countablyinfinite', 'basis', 'of', 'the', 'primitive', 'correlators', 'the', 'second', 'argument', 'is', 'that', 'any', 'conceivable', 'exact', 'analytic', 'calculation', 'of', 'the', 'primitive', 'correlators', 'involves', 'in', 'the', 'continuum', 'limit', 'a', 'linear', 'system', 'of', 'coupled', 'partial', 'differential', 'equations', 'on', 'an', 'infinite', 'number', 'of', 'unknown', 'functions', 'namely', 'the', 'primitive', 'correlators', 'evolving', 'with', 'respect', 'to', 'an', 'infinite', 'number', 'of', 'independent', 'variables']] | [-0.1971497004232069, 0.1802910270956589, -0.09894041720056726, 0.03195929168554534, -0.07832969110759516, -0.11273243527619108, 0.03563243265436482, 0.24777962707148324, -0.22392766583230225, -0.20474098823192874, 0.10435569393279541, -0.3118268158887663, -0.10750681054665737, 0.1630036730108963, 0.01863524154008877, 0.093844270968299, 0.03783425243736635, 0.10399180391123669, -0.07830480399030831, -0.28051732246193195, 0.3664245633164331, -0.026837418476427576, 0.2324174087599761, 0.015446497052307091, 0.1318330449270903, 0.04243378496293219, -0.023301829617740886, 0.024993222029391495, -0.10311651335441932, 0.12778719668577035, 0.2125844039368413, 0.08260007743528179, 0.23343373692008637, -0.43971834264154874, -0.17073723023396828, 0.05896522886600466, 0.17462482492274214, 0.12272167909090527, 0.03668577031085959, -0.20416738415294658, 0.062053943383357214, -0.13803839731600978, -0.22369931975094182, -0.05142920190513495, 0.053862817976961755, 0.007955545379269508, -0.26678535965413996, 0.030943457031577463, 0.049265010308684604, 0.0789793154727968, -0.05677216971291214, -0.14529717427907482, -0.014325868188133162, 0.0747216921862996, 0.010452189125991877, 0.028478500703650135, 0.07003338377351963, -0.12125394005523694, -0.12358706379159083, 0.37164530075425584, -0.05890080246383384, -0.2624699375141532, 0.16907693497693888, -0.12195357372007903, -0.16134429195963387, 0.1366018147645293, 0.12324531601494058, 0.14576303667478985, -0.1194703003495834, 0.1863439461331807, -0.10900291633762178, 0.19312489492398116, 0.0468782841626014, 0.04565188231842307, 0.17579010034340523, 0.1049318621798809, 0.0470064299241189, 0.15148271793018905, 0.06780229171084601, -0.16524188979078205, -0.3940672679023156, -0.1253440371074248, -0.22439888607890857, 0.10603155972503667, -0.15765290234095677, -0.24402953739157848, 0.3223727211476334, 0.12000696219488859, 0.168299178720542, 0.10846691477889826, 0.2510460254946543, 0.19873772788372251, 0.05550651851620886, 0.045672427825329286, 0.14751736028870988, 0.19062600125776483, 0.017728538271189937, -0.2608626609991564, -0.006535181726869796, 0.19773614552292612] |
1,803.01913 | Experimental signature of Quantum Darwinism in photonic cluster states | We report on an experimental assessment of the emergence of Quantum Darwinism
(QD) from engineered open-system dynamics. We use a photonic hyperentangled
source of graph states to address the effects that correlations among the
elements of a multi-party environment have on the establishment of objective
reality ensuing the quantum-to-classical transition. Besides embodying one of
the first experimental efforts towards the characterization of QD, our work
illustrates the non-trivial consequences that multipartite entanglement and, in
turn, the possibility of having environment-to-system back-action have on the
features of the QD framework.
| quant-ph | we report on an experimental assessment of the emergence of quantum darwinism qd from engineered opensystem dynamics we use a photonic hyperentangled source of graph states to address the effects that correlations among the elements of a multiparty environment have on the establishment of objective reality ensuing the quantumtoclassical transition besides embodying one of the first experimental efforts towards the characterization of qd our work illustrates the nontrivial consequences that multipartite entanglement and in turn the possibility of having environmenttosystem backaction have on the features of the qd framework | [['we', 'report', 'on', 'an', 'experimental', 'assessment', 'of', 'the', 'emergence', 'of', 'quantum', 'darwinism', 'qd', 'from', 'engineered', 'opensystem', 'dynamics', 'we', 'use', 'a', 'photonic', 'hyperentangled', 'source', 'of', 'graph', 'states', 'to', 'address', 'the', 'effects', 'that', 'correlations', 'among', 'the', 'elements', 'of', 'a', 'multiparty', 'environment', 'have', 'on', 'the', 'establishment', 'of', 'objective', 'reality', 'ensuing', 'the', 'quantumtoclassical', 'transition', 'besides', 'embodying', 'one', 'of', 'the', 'first', 'experimental', 'efforts', 'towards', 'the', 'characterization', 'of', 'qd', 'our', 'work', 'illustrates', 'the', 'nontrivial', 'consequences', 'that', 'multipartite', 'entanglement', 'and', 'in', 'turn', 'the', 'possibility', 'of', 'having', 'environmenttosystem', 'backaction', 'have', 'on', 'the', 'features', 'of', 'the', 'qd', 'framework']] | [-0.15397022152842765, 0.12180664638999791, -0.11261623926994423, 0.015028265163595423, 0.011061376674896043, -0.13789371115396196, 0.07999223318301518, 0.3476211524076676, -0.21190921790123488, -0.2868679883586389, 0.021098387234038517, -0.29171110090820557, -0.17808296121892342, 0.19054683057193675, -0.027354267142583738, 0.07975448666956653, 0.06409561549826118, -0.015747790235314477, -0.03262406014157145, -0.18247138425149284, 0.3713906024362934, 0.04261991903944506, 0.30547854406863784, 0.11836354356400376, 0.07668188662043239, 0.0011079271135621526, 0.020855350514057645, -0.0301690251263005, -0.10987310089106185, 0.14305322840770582, 0.24151918444824352, 0.14176564252924886, 0.3049126113817263, -0.4511485981095708, -0.21284713452744686, 0.09069198221648427, 0.09382680842255274, 0.17702305268789276, -0.06863952831893615, -0.3675147707710105, -0.01981824409907286, -0.1606177178766118, -0.0909585804270392, -0.07294301094298952, -0.007053344463406319, -0.07145538095259264, -0.18009659430545785, 0.04568329545684954, 0.09740715580102935, 0.061425342292556265, -0.009768573232413678, -0.0226573471367108, 0.0033700515442852226, 0.17340426099894757, -0.06163331470975464, -0.0381967183830363, 0.162270367449003, -0.1381723027822844, -0.21511067876466708, 0.3647454261277499, -0.015253779708585713, -0.1318658935220054, 0.1619489167952973, -0.1292568084187387, -0.1430713987197685, 0.048407383681683055, 0.16363054306738162, 0.06282323124305753, -0.1188984352603471, 0.05075942934163731, -0.020213993967332866, 0.17359964002781872, 0.0009557022660803259, 0.18634713702740963, 0.2164999834063013, 0.1699706477144461, 0.05758035927487726, 0.20475528960042957, -0.0482040813815351, -0.15937086495602232, -0.3071862406442674, -0.20924257807789393, -0.2180194622690507, 0.08449972983125305, -0.0725940670031633, -0.15987000642658283, 0.47360376385825403, 0.2062778722997127, 0.14871419788066173, -0.0054845574489805135, 0.27261719233722664, 0.03971804099371971, 0.04536651854476567, -0.011121619388126256, 0.2789832013502215, 0.15772415188486488, 0.0969424954605069, -0.31757327389715007, 0.12111721772261047, -0.008275419546898161] |
1,803.01914 | Costs and Rewards in Priced Timed Automata | We consider Pareto analysis of reachable states of multi-priced timed
automata (MPTA): timed automata equipped with multiple observers that keep
track of costs (to be minimised) and rewards (to be maximised) along a
computation. Each observer has a constant non-negative derivative which may
depend on the location of the MPTA.
We study the Pareto Domination Problem, which asks whether it is possible to
reach a target location via a run in which the accumulated costs and rewards
Pareto dominate a given objective vector. We show that this problem is
undecidable in general, but decidable for MPTA with at most three observers.
For MPTA whose observers are all costs or all rewards, we show that the Pareto
Domination Problem is PSPACE-complete. We also consider an epsilon-approximate
Pareto Domination Problem that is decidable without restricting the number and
types of observers.
We develop connections between MPTA and Diophantine equations. Undecidability
of the Pareto Domination Problem is shown by reduction from Hilbert's 10th
Problem, while decidability for three observers is shown by a translation to a
fragment of arithmetic involving quadratic forms.
| cs.LO | we consider pareto analysis of reachable states of multipriced timed automata mpta timed automata equipped with multiple observers that keep track of costs to be minimised and rewards to be maximised along a computation each observer has a constant nonnegative derivative which may depend on the location of the mpta we study the pareto domination problem which asks whether it is possible to reach a target location via a run in which the accumulated costs and rewards pareto dominate a given objective vector we show that this problem is undecidable in general but decidable for mpta with at most three observers for mpta whose observers are all costs or all rewards we show that the pareto domination problem is pspacecomplete we also consider an epsilonapproximate pareto domination problem that is decidable without restricting the number and types of observers we develop connections between mpta and diophantine equations undecidability of the pareto domination problem is shown by reduction from hilberts 10th problem while decidability for three observers is shown by a translation to a fragment of arithmetic involving quadratic forms | [['we', 'consider', 'pareto', 'analysis', 'of', 'reachable', 'states', 'of', 'multipriced', 'timed', 'automata', 'mpta', 'timed', 'automata', 'equipped', 'with', 'multiple', 'observers', 'that', 'keep', 'track', 'of', 'costs', 'to', 'be', 'minimised', 'and', 'rewards', 'to', 'be', 'maximised', 'along', 'a', 'computation', 'each', 'observer', 'has', 'a', 'constant', 'nonnegative', 'derivative', 'which', 'may', 'depend', 'on', 'the', 'location', 'of', 'the', 'mpta', 'we', 'study', 'the', 'pareto', 'domination', 'problem', 'which', 'asks', 'whether', 'it', 'is', 'possible', 'to', 'reach', 'a', 'target', 'location', 'via', 'a', 'run', 'in', 'which', 'the', 'accumulated', 'costs', 'and', 'rewards', 'pareto', 'dominate', 'a', 'given', 'objective', 'vector', 'we', 'show', 'that', 'this', 'problem', 'is', 'undecidable', 'in', 'general', 'but', 'decidable', 'for', 'mpta', 'with', 'at', 'most', 'three', 'observers', 'for', 'mpta', 'whose', 'observers', 'are', 'all', 'costs', 'or', 'all', 'rewards', 'we', 'show', 'that', 'the', 'pareto', 'domination', 'problem', 'is', 'pspacecomplete', 'we', 'also', 'consider', 'an', 'epsilonapproximate', 'pareto', 'domination', 'problem', 'that', 'is', 'decidable', 'without', 'restricting', 'the', 'number', 'and', 'types', 'of', 'observers', 'we', 'develop', 'connections', 'between', 'mpta', 'and', 'diophantine', 'equations', 'undecidability', 'of', 'the', 'pareto', 'domination', 'problem', 'is', 'shown', 'by', 'reduction', 'from', 'hilberts', '10th', 'problem', 'while', 'decidability', 'for', 'three', 'observers', 'is', 'shown', 'by', 'a', 'translation', 'to', 'a', 'fragment', 'of', 'arithmetic', 'involving', 'quadratic', 'forms']] | [-0.1324637036200278, 0.10508360123084243, -0.07193725655480612, 0.08962173319946232, -0.13476870703155153, -0.19066870021319876, 0.08913949951647226, 0.36569196146944266, -0.33715868295298557, -0.28552866015541417, 0.12006912951676824, -0.2768614973841507, -0.09139355460019635, 0.1549312134058832, -0.12330983296344764, 0.0741553986503931, 0.05913069305857748, 0.08848723446364316, 0.00044374603201279396, -0.31304870615320884, 0.34325906334397793, 0.00905240113648136, 0.20003761605914222, 0.00546680273892184, 0.12976729113339144, 0.0017484958856523538, 0.0038113170224922093, 0.07788924915778837, -0.10429087071336172, 0.07973397023330987, 0.32957475688674726, 0.2578339946607986, 0.33855746263700925, -0.40384651682852357, -0.11379402402913973, 0.2253713386834421, 0.08572298932684523, 0.05863447589839003, 0.017660048725528205, -0.258034153004292, 0.07476077496212792, -0.13485692211510508, -0.0885737893263825, -0.0036155397590417206, 0.055153929340663585, 0.0304702562446774, -0.2753010000405687, -0.007348539858560726, 0.06455583879567181, 0.02001067611985327, -0.10632864538360429, -0.07307675604255912, 0.02135715496025226, 0.06138027556046969, 0.037260938493346565, 0.0012265146367272802, 0.057593704902389076, -0.12715939668744927, -0.20096761695229648, 0.39435896297833056, 0.00429717211178347, -0.2093868611453708, 0.1344299989810025, -0.10357640430611151, -0.13838534998273205, 0.13540924745359845, 0.167564425251206, 0.1470650899108876, -0.12075245038480655, 0.09456975862849504, -0.09752761270704396, 0.17953882931490964, 0.151875450613312, -0.013410632232703749, 0.1729487229996685, 0.13440066973908982, 0.16886618999264652, 0.18301391502020858, 0.02979184555418245, -0.12114300813527223, -0.2983582810596223, -0.13013164218243087, -0.1322545699704585, -0.009873465812775525, -0.06654882387832341, -0.17890935269899907, 0.35112468628840665, 0.14517358297369642, 0.12340057446991533, 0.201387255336812, 0.2644413652341928, 0.14587194061827627, -0.005148134412756713, 0.1586704110056999, 0.19553389789515666, 0.0783170166744568, 0.04565919213535871, -0.2148074252580638, 0.13582143971364255, 0.07358221141516827] |
1,803.01915 | Existence of ground states for aggregation-diffusion equations | We analyze free energy functionals for macroscopic models of multi-agent
systems interacting via pairwise attractive forces and localized repulsion. The
repulsion at the level of the continuous description is modeled by
pressure-related terms in the functional making it energetically favorable to
spread, while the attraction is modeled through nonlocal forces. We give
conditions on general entropies and interaction potentials for which neither
ground states nor local minimizers exist. We show that these results are sharp
for homogeneous functionals with entropies leading to degenerate diffusions
while they are not sharp for fast diffusions. The particular relevant case of
linear diffusion is totally clarified giving a sharp condition on the
interaction potential under which the corresponding free energy functional has
ground states or not.
| math.AP | we analyze free energy functionals for macroscopic models of multiagent systems interacting via pairwise attractive forces and localized repulsion the repulsion at the level of the continuous description is modeled by pressurerelated terms in the functional making it energetically favorable to spread while the attraction is modeled through nonlocal forces we give conditions on general entropies and interaction potentials for which neither ground states nor local minimizers exist we show that these results are sharp for homogeneous functionals with entropies leading to degenerate diffusions while they are not sharp for fast diffusions the particular relevant case of linear diffusion is totally clarified giving a sharp condition on the interaction potential under which the corresponding free energy functional has ground states or not | [['we', 'analyze', 'free', 'energy', 'functionals', 'for', 'macroscopic', 'models', 'of', 'multiagent', 'systems', 'interacting', 'via', 'pairwise', 'attractive', 'forces', 'and', 'localized', 'repulsion', 'the', 'repulsion', 'at', 'the', 'level', 'of', 'the', 'continuous', 'description', 'is', 'modeled', 'by', 'pressurerelated', 'terms', 'in', 'the', 'functional', 'making', 'it', 'energetically', 'favorable', 'to', 'spread', 'while', 'the', 'attraction', 'is', 'modeled', 'through', 'nonlocal', 'forces', 'we', 'give', 'conditions', 'on', 'general', 'entropies', 'and', 'interaction', 'potentials', 'for', 'which', 'neither', 'ground', 'states', 'nor', 'local', 'minimizers', 'exist', 'we', 'show', 'that', 'these', 'results', 'are', 'sharp', 'for', 'homogeneous', 'functionals', 'with', 'entropies', 'leading', 'to', 'degenerate', 'diffusions', 'while', 'they', 'are', 'not', 'sharp', 'for', 'fast', 'diffusions', 'the', 'particular', 'relevant', 'case', 'of', 'linear', 'diffusion', 'is', 'totally', 'clarified', 'giving', 'a', 'sharp', 'condition', 'on', 'the', 'interaction', 'potential', 'under', 'which', 'the', 'corresponding', 'free', 'energy', 'functional', 'has', 'ground', 'states', 'or', 'not']] | [-0.13945155000108003, 0.1668947030337848, -0.06764307777687419, 0.1271952510187326, 0.0021992962956275852, -0.17472267524553003, 0.010860672151883606, 0.38060677084369493, -0.25806774315424263, -0.24202952379757753, 0.047518090248588836, -0.2988388798672889, -0.1174744815187773, 0.1481512820703115, 0.0055164076334445694, 0.029099462080563677, 0.05811807510565172, 0.07518335258527124, -0.04128146974167588, -0.21411788682682348, 0.33670024839458895, 0.016339811981182364, 0.2613309246610056, 0.12957152779754175, 0.07257247123806203, 0.03335803329990413, 0.08319266287793146, 0.03694719084553787, -0.16947327389556688, 0.11560492044539938, 0.23550447605047056, -0.0005455994215167937, 0.27051793417481124, -0.4718440100703327, -0.2334491760626466, 0.14342496160715512, 0.09315981787293538, 0.10397094172677483, -0.029476900268193395, -0.32277064223689805, 0.011395402744099437, -0.12095600683347048, -0.151494924984796, -0.154065116217024, 0.0172415999428476, 0.09057009386444526, -0.28682776477539024, 0.17459644006992706, 0.07909983738524015, 0.030210036627917748, -0.14342705693218064, -0.08305074995837831, -0.05671220818595564, 0.08859956016588467, 0.03365165647310128, -0.04169468186603913, 0.11125043821597441, -0.125015152984711, -0.05167692516869331, 0.3598454269717951, -0.04869944247852278, -0.2528550406540057, 0.2831625543901178, -0.1077280090530174, -0.09117263634727321, 0.1441222477101217, 0.12115311495516999, 0.11248013224084404, -0.18631237450382124, 0.12141903824856139, 0.030412527018791585, 0.10441435630944726, 0.04364806090741128, 0.04276233595332177, 0.17827890817930953, 0.09297585065026202, 0.15574284146738346, 0.11370752488127452, -0.013790737276469341, -0.18100622596723012, -0.33602692270804135, -0.10295893654578411, -0.19923605797354316, 0.03962534541213125, -0.05213098682927876, -0.21254066788576176, 0.3497046508337753, 0.08062456252786224, 0.15556666410726602, 0.04613592034992075, 0.217046237325479, 0.16701628139899036, 0.04708093973487371, 0.06714671758121857, 0.24665690753532604, 0.11098869764971257, 0.02582956410822321, -0.1773037217384716, 0.08259003349011153, 0.07443687317465417] |
1,803.01916 | Overcomplete compact representation of two-particle Green's functions | Two-particle Green's functions and the vertex functions play a critical role
in theoretical frameworks for describing strongly correlated electron systems.
However, numerical calculations at two-particle level often suffer from large
computation time and massive memory consumption. We derive a general expansion
formula for the two-particle Green's functions in terms of an overcomplete
representation based on the recently proposed "intermediate representation"
basis. The expansion formula is obtained by decomposing the spectral
representation of the two-particle Green's function. We demonstrate that the
expansion coefficients decay exponentially, while all high-frequency and
long-tail structures in the Matsubara-frequency domain are retained. This
representation therefore enables efficient treatment of two-particle quantities
and opens a route to the application of modern many-body theories to realistic
strongly correlated electron systems.
| cond-mat.str-el | twoparticle greens functions and the vertex functions play a critical role in theoretical frameworks for describing strongly correlated electron systems however numerical calculations at twoparticle level often suffer from large computation time and massive memory consumption we derive a general expansion formula for the twoparticle greens functions in terms of an overcomplete representation based on the recently proposed intermediate representation basis the expansion formula is obtained by decomposing the spectral representation of the twoparticle greens function we demonstrate that the expansion coefficients decay exponentially while all highfrequency and longtail structures in the matsubarafrequency domain are retained this representation therefore enables efficient treatment of twoparticle quantities and opens a route to the application of modern manybody theories to realistic strongly correlated electron systems | [['twoparticle', 'greens', 'functions', 'and', 'the', 'vertex', 'functions', 'play', 'a', 'critical', 'role', 'in', 'theoretical', 'frameworks', 'for', 'describing', 'strongly', 'correlated', 'electron', 'systems', 'however', 'numerical', 'calculations', 'at', 'twoparticle', 'level', 'often', 'suffer', 'from', 'large', 'computation', 'time', 'and', 'massive', 'memory', 'consumption', 'we', 'derive', 'a', 'general', 'expansion', 'formula', 'for', 'the', 'twoparticle', 'greens', 'functions', 'in', 'terms', 'of', 'an', 'overcomplete', 'representation', 'based', 'on', 'the', 'recently', 'proposed', 'intermediate', 'representation', 'basis', 'the', 'expansion', 'formula', 'is', 'obtained', 'by', 'decomposing', 'the', 'spectral', 'representation', 'of', 'the', 'twoparticle', 'greens', 'function', 'we', 'demonstrate', 'that', 'the', 'expansion', 'coefficients', 'decay', 'exponentially', 'while', 'all', 'highfrequency', 'and', 'longtail', 'structures', 'in', 'the', 'matsubarafrequency', 'domain', 'are', 'retained', 'this', 'representation', 'therefore', 'enables', 'efficient', 'treatment', 'of', 'twoparticle', 'quantities', 'and', 'opens', 'a', 'route', 'to', 'the', 'application', 'of', 'modern', 'manybody', 'theories', 'to', 'realistic', 'strongly', 'correlated', 'electron', 'systems']] | [-0.1235486171208322, 0.1219655277760228, -0.12083449631883594, 0.09974935750446481, -0.03795742470633666, -0.09397209868155663, 0.005118361571192985, 0.34607042532536336, -0.2421928417284927, -0.23282887705708624, 0.03222117024439494, -0.29220680843611235, -0.17505092910952774, 0.19937413994253414, 0.054947252800644254, 0.09122103026335235, 0.08556093112565577, -0.00912344067159002, -0.12350812983569369, -0.18249541931770374, 0.2982465920046155, 0.05356665541127813, 0.2982873936168483, 0.10725893635211177, 0.08486738448392897, 0.10357354699966086, -0.0460032767226889, -0.017928177151126694, -0.08591253149589632, 0.1474443727142376, 0.2898274934316268, 0.06797541926431729, 0.25336791221128746, -0.463902289826484, -0.21324044392543431, 0.04058615976303327, 0.1899450094263512, 0.1326373666162282, -0.03667434494843187, -0.24770133687778698, 0.016004897535732778, -0.21729023279774873, -0.15454013599464517, -0.15173816904578297, 0.023703145741133906, 0.005439405652530278, -0.2971339073093211, 0.13741089089307934, 0.010472335478626802, 0.01154182428420382, -0.06334026005180156, -0.12898137822621272, 0.02682731746024162, 0.11353017311909648, -0.01722222701150191, 0.04542129579669086, 0.1259076981328153, -0.18196123650060875, -0.10017418717683034, 0.35334276591931457, -0.03003148834953909, -0.222137557067832, 0.18878845225630297, -0.17815006233721478, -0.1364993942428197, 0.12341433953585439, 0.15707192852803062, 0.12320293953306362, -0.18846147087570586, 0.11368235349311631, -0.007591599598526955, 0.14264575558042794, 0.0489417179144125, 0.12576280213505045, 0.17296489256579184, 0.10983604727099176, 0.023364973704895525, 0.13584351222141508, -0.013249119568127589, -0.12594888849779354, -0.28267688795420354, -0.11819731516259738, -0.23410251414590347, 0.02801891545918732, -0.11106585633710073, -0.2082147086649889, 0.4256144889065477, 0.1166624201454039, 0.16688679964052605, 0.07274082209914923, 0.29734515172780535, 0.23374204111636662, 0.0717499570646247, 0.07036864696849199, 0.147901231839062, 0.12425634144713767, 0.0606013795792232, -0.2433985086600678, 0.056512658812533145, 0.13724931766523324] |
1,803.01917 | Amenable purely infinite actions on the non-compact Cantor set | We prove that any countable non-amenable group G admits a free minimal
amenable purely infinite action on the non-compact Cantor set. This answers a
question of Kellerhals, Monod and R{\o}rdam.
| math.DS | we prove that any countable nonamenable group g admits a free minimal amenable purely infinite action on the noncompact cantor set this answers a question of kellerhals monod and rordam | [['we', 'prove', 'that', 'any', 'countable', 'nonamenable', 'group', 'g', 'admits', 'a', 'free', 'minimal', 'amenable', 'purely', 'infinite', 'action', 'on', 'the', 'noncompact', 'cantor', 'set', 'this', 'answers', 'a', 'question', 'of', 'kellerhals', 'monod', 'and', 'rordam']] | [-0.20157431742797297, 0.21993615717316667, -0.1101319725314776, 0.0961099883968321, -0.20072756645580134, -0.16986755905672907, 0.1295371850952506, 0.34625892001204195, -0.2541339106236895, -0.11932626099636158, 0.1372785673166315, -0.32190147244061035, -0.10924848006106913, 0.18254512593654607, -0.21967256205777327, -0.028132382749269404, 0.14421803920219342, 0.17518169538428385, -0.0006151949909205238, -0.2676551357532541, 0.38296744838977853, -0.15165126146748661, 0.20329178958199917, 0.10034036996463934, 0.19445142112672328, 0.0018755692522972821, -0.04191759110738834, 0.026595732538650434, -0.24499957487884483, 0.07751983024839622, 0.273890281530718, 0.09769271749537438, 0.2953883772715926, -0.29571436854700245, -0.2059490485621306, 0.27681728502114616, 0.06957579385489225, -0.04345267778262496, -0.07481293494735534, -0.31916272894789777, 0.07864701071133216, -0.23791290130466222, -0.12963477762726447, -0.08378589631368717, 0.10497442539781332, -0.14173668378498405, -0.20490676362533122, -0.016193358413875102, 0.22753482051193713, 0.15600418811663985, -0.0502727751309673, 0.02079508810614546, -0.042992096355495356, 0.07076842670018474, -0.0582759137575825, 0.0727496992641439, 0.05294603551737964, 0.04437333563497911, -0.16856462008630235, 0.43045239460964996, -0.1273000198105971, -0.2551554582702617, 0.17137160642693441, -0.17880313694477082, -0.2512299891677685, 0.11258023837581277, 0.02869096597035726, 0.18185583235075076, -0.005635105663289627, 0.33728558517177587, -0.27163077853620055, 0.1179816340872397, 0.10342433225984375, -0.09969113520346581, 0.01797979351443549, 0.07590515532065183, 0.16085423128679394, 0.14753826367668807, 0.25248026311552774, 0.0883726047972838, -0.3378828562175234, -0.10447480895866951, -0.13268308518454433, 0.2538758662839731, -0.1183367450639101, -0.29692308340842527, 0.3373384925847252, 0.04255174961872399, 0.0689804033221056, 0.19593384478551645, 0.1353079373948276, -0.009919066171763309, -0.018634656009574733, 0.14375936677679418, -0.032292208277309935, 0.19842706851971645, -0.22227399229692915, -0.16439617952952781, -0.06802768462027113, 0.28635178034504255] |
1,803.01918 | Stability of DC Networks with Generic Load Models | DC grids are prone to small-signal instabilities due to the presence of
tightly controlled loads trying to keep the power consumption constant over
range of terminal voltage variations. Th, so-called, constant power load (CPL)
represents a classical example of this destabilizing behavior acting as an
incremental negative resistance. Real-life DC loads represented by controlled
power converters exhibit the CPL behavior over a finite frequency range. There
exist a number of methods for stability certification of DC grids which are
primarily concerned with the source-load interaction and do not explicitly
account for the influence of network. In the present manuscript, we develop a
method for stability assessment of arbitrary DC grids by introducing the
Augmented Power Dissipation and showing that it's positive definiteness is a
sufficient condition for stability. We present an explicit expression for this
quantity through load and network impedances and show how it could be directly
used for stability certification of networks with arbitrary configuration.
| cs.SY | dc grids are prone to smallsignal instabilities due to the presence of tightly controlled loads trying to keep the power consumption constant over range of terminal voltage variations th socalled constant power load cpl represents a classical example of this destabilizing behavior acting as an incremental negative resistance reallife dc loads represented by controlled power converters exhibit the cpl behavior over a finite frequency range there exist a number of methods for stability certification of dc grids which are primarily concerned with the sourceload interaction and do not explicitly account for the influence of network in the present manuscript we develop a method for stability assessment of arbitrary dc grids by introducing the augmented power dissipation and showing that its positive definiteness is a sufficient condition for stability we present an explicit expression for this quantity through load and network impedances and show how it could be directly used for stability certification of networks with arbitrary configuration | [['dc', 'grids', 'are', 'prone', 'to', 'smallsignal', 'instabilities', 'due', 'to', 'the', 'presence', 'of', 'tightly', 'controlled', 'loads', 'trying', 'to', 'keep', 'the', 'power', 'consumption', 'constant', 'over', 'range', 'of', 'terminal', 'voltage', 'variations', 'th', 'socalled', 'constant', 'power', 'load', 'cpl', 'represents', 'a', 'classical', 'example', 'of', 'this', 'destabilizing', 'behavior', 'acting', 'as', 'an', 'incremental', 'negative', 'resistance', 'reallife', 'dc', 'loads', 'represented', 'by', 'controlled', 'power', 'converters', 'exhibit', 'the', 'cpl', 'behavior', 'over', 'a', 'finite', 'frequency', 'range', 'there', 'exist', 'a', 'number', 'of', 'methods', 'for', 'stability', 'certification', 'of', 'dc', 'grids', 'which', 'are', 'primarily', 'concerned', 'with', 'the', 'sourceload', 'interaction', 'and', 'do', 'not', 'explicitly', 'account', 'for', 'the', 'influence', 'of', 'network', 'in', 'the', 'present', 'manuscript', 'we', 'develop', 'a', 'method', 'for', 'stability', 'assessment', 'of', 'arbitrary', 'dc', 'grids', 'by', 'introducing', 'the', 'augmented', 'power', 'dissipation', 'and', 'showing', 'that', 'its', 'positive', 'definiteness', 'is', 'a', 'sufficient', 'condition', 'for', 'stability', 'we', 'present', 'an', 'explicit', 'expression', 'for', 'this', 'quantity', 'through', 'load', 'and', 'network', 'impedances', 'and', 'show', 'how', 'it', 'could', 'be', 'directly', 'used', 'for', 'stability', 'certification', 'of', 'networks', 'with', 'arbitrary', 'configuration']] | [-0.1969107743412352, 0.0904958354361812, -0.025702068218006156, 0.004939307132586598, -0.0674452102707269, -0.18637178451395953, 0.0621758848813046, 0.35737505612465054, -0.27555462003697473, -0.31271981187642384, 0.10765630453347395, -0.20688806577191615, -0.13181127643045515, 0.23157719238616453, -0.08374918651922296, 0.05741524170354331, 0.007395392646102641, -0.0035829785267243353, 0.0010863997218294595, -0.2113900124102843, 0.2921708738297009, 0.08315021987073123, 0.31899737769242326, 0.0773696251383696, 0.09010401114415473, -0.03594431061617051, 0.015508397474873047, 0.09308231132887065, -0.1081867165060267, 0.08501879962158199, 0.25696874520993634, 0.09259776292273249, 0.29135539628660834, -0.4479045066146705, -0.22892541208495507, 0.1506500042682418, 0.10261377955649574, 0.07402729291621093, -0.055637247155969724, -0.18533551254166433, 0.11095724101417148, -0.21393297725500396, -0.11177084963315, -0.1254896797442761, 0.006089475116310403, 0.09522602071564716, -0.31103004331891543, 0.06896077421828149, 0.06264113528558458, 0.09910479976082197, -0.07306992369539773, -0.07598043217932662, -0.029213126369704228, 0.12665889342334152, 0.018766800411797773, -0.04859929105628115, 0.14325956447282806, -0.11252625928654407, -0.07150157602415838, 0.3574822832328769, -0.04908912801870312, -0.2400548092973156, 0.11829431690215969, -0.06562219848050378, -0.0630102203655182, 0.09697093948041303, 0.19823404230201283, 0.08238000182422976, -0.13971606556860466, 0.05110397098663574, 0.041256480217457585, 0.18927244162813833, 0.09154482710605058, -0.010618537691278527, 0.18607179193238083, 0.1493747865076726, 0.11764766996015961, 0.17157387742638372, -0.02620852329224969, -0.0726611607749827, -0.2954977381711778, -0.08592843170612095, -0.14596049592961582, 0.07108178409870537, -0.0810459834961549, -0.20409552544170323, 0.40345855442305595, 0.14106819205074153, 0.17312913502041155, 0.07266140234647676, 0.3678473888609845, 0.16146531445310058, 0.04017904171278366, 0.07931196251705003, 0.21255344424683315, 0.11543995846146479, 0.1663361564009952, -0.2579603663653893, 0.1142939453652033, 0.01881807687608764] |
1,803.01919 | $\alpha'$-corrected black holes in String Theory | We consider the well-known solution of the Heterotic Superstring effective
action to zeroth order in $\alpha'$ that describes the intersection of a
fundamental string with momentum and a solitonic 5-brane and which gives a
3-charge, static, extremal, supersymmetric black hole in 5 dimensions upon
dimensional reduction on $\mathrm{T}^{5}$. We compute explicitly the
first-order in $\alpha'$ corrections to this solution, including
$\mathrm{SU}(2)$ Yang-Mills fields which can be used to cancel some of these
corrections and we study the main properties of this $\alpha'$-corrected
solution: supersymmetry, values of the near-horizon and asymptotic charges,
behavior under $\alpha'$-corrected T-duality, value of the entropy (using Wald
formula directly in 10 dimensions), existence of small black holes etc. The
value obtained for the entropy agrees, within the limits of approximation, with
that obtained by microscopic methods. The $\alpha'$ corrections coming from
Wald's formula prove crucial for this result.
| hep-th | we consider the wellknown solution of the heterotic superstring effective action to zeroth order in alpha that describes the intersection of a fundamental string with momentum and a solitonic 5brane and which gives a 3charge static extremal supersymmetric black hole in 5 dimensions upon dimensional reduction on mathrmt5 we compute explicitly the firstorder in alpha corrections to this solution including mathrmsu2 yangmills fields which can be used to cancel some of these corrections and we study the main properties of this alphacorrected solution supersymmetry values of the nearhorizon and asymptotic charges behavior under alphacorrected tduality value of the entropy using wald formula directly in 10 dimensions existence of small black holes etc the value obtained for the entropy agrees within the limits of approximation with that obtained by microscopic methods the alpha corrections coming from walds formula prove crucial for this result | [['we', 'consider', 'the', 'wellknown', 'solution', 'of', 'the', 'heterotic', 'superstring', 'effective', 'action', 'to', 'zeroth', 'order', 'in', 'alpha', 'that', 'describes', 'the', 'intersection', 'of', 'a', 'fundamental', 'string', 'with', 'momentum', 'and', 'a', 'solitonic', '5brane', 'and', 'which', 'gives', 'a', '3charge', 'static', 'extremal', 'supersymmetric', 'black', 'hole', 'in', '5', 'dimensions', 'upon', 'dimensional', 'reduction', 'on', 'mathrmt5', 'we', 'compute', 'explicitly', 'the', 'firstorder', 'in', 'alpha', 'corrections', 'to', 'this', 'solution', 'including', 'mathrmsu2', 'yangmills', 'fields', 'which', 'can', 'be', 'used', 'to', 'cancel', 'some', 'of', 'these', 'corrections', 'and', 'we', 'study', 'the', 'main', 'properties', 'of', 'this', 'alphacorrected', 'solution', 'supersymmetry', 'values', 'of', 'the', 'nearhorizon', 'and', 'asymptotic', 'charges', 'behavior', 'under', 'alphacorrected', 'tduality', 'value', 'of', 'the', 'entropy', 'using', 'wald', 'formula', 'directly', 'in', '10', 'dimensions', 'existence', 'of', 'small', 'black', 'holes', 'etc', 'the', 'value', 'obtained', 'for', 'the', 'entropy', 'agrees', 'within', 'the', 'limits', 'of', 'approximation', 'with', 'that', 'obtained', 'by', 'microscopic', 'methods', 'the', 'alpha', 'corrections', 'coming', 'from', 'walds', 'formula', 'prove', 'crucial', 'for', 'this', 'result']] | [-0.12166305475187957, 0.10284492710492976, -0.06993621133320721, 0.12233910177989553, -0.030206142693546646, -0.12786919532792893, 0.03509049127803098, 0.2511324025558453, -0.1704506168987417, -0.2780958791560632, 0.08788484526989677, -0.30039900083570403, -0.13473861442601426, 0.15498981466979211, -0.0791948413928799, 0.04945034936827142, -0.025252674557664927, 0.07200500742922016, -0.11903183730583347, -0.24003417563627982, 0.35481634127068606, 0.014118890697466777, 0.2623537465771462, 0.054305806402232606, 0.11416824275284265, 0.012333621040600887, 0.016954096304979308, 0.062264101877015955, -0.19588701199487937, 0.12917644005344772, 0.22854003854961208, 0.07398442772269936, 0.12489119764988753, -0.4007174424193007, -0.17979951141441755, 0.06763762665635094, 0.1508524232785092, 0.16480853895868128, -0.03006399178742068, -0.2504749010046217, 0.10199102687365408, -0.19218520487737942, -0.191367257439287, -0.10422242200414894, 0.036498139292028144, -0.04272466241497652, -0.24648178422019373, 0.0919273772616689, 0.05292635022395072, -0.03821176227763401, -0.10246402987589438, -0.08829660422882026, -0.028420822453810602, 0.10785406683934919, 0.1753989890546386, 0.024134252304607567, 0.12318288459251008, -0.1547226982003062, -0.1470901801235188, 0.35765921550386764, -0.09698204136476687, -0.2135397141918223, 0.1083278630179822, -0.17552054930042396, -0.16678794303988206, 0.12271903461367156, 0.10741274393038124, 0.2017963184407047, -0.1309820492132666, 0.20063415368365006, 0.011195339037911266, 0.14028093629559593, 0.13954512544590583, 0.032561398671068095, 0.24187261508843788, 0.06755289997152508, 0.03919238073037977, 0.16995460534689566, -0.034081844333889534, -0.13055337447976917, -0.3978159679983353, -0.13876236831861818, -0.1251464688172894, 0.15571146666118546, -0.18703632857543184, -0.18515490475837273, 0.34225434041747177, 0.13341331913867463, 0.17572883495413666, 0.06814295327429601, 0.22263265115920317, 0.1537559136437873, 0.05609670877522716, 0.05885705992526619, 0.25908526570593166, 0.13972234427070257, 0.08932799781203693, -0.2560018236659705, -0.08438693870730857, 0.2214123297875734] |
1,803.0192 | Designer Spatial Control of Interactions in Ultracold Gases | Designer optical control of interactions in ultracold atomic gases has wide
application, from creating new quantum phases to modeling the physics of black
holes. We demonstrate spatial control of interactions in a two-component cloud
of $^6$Li fermions, using electromagnetically induced transparency (EIT) to
create a "sandwich" of resonantly and weakly interacting regions. Interaction
designs are imprinted on the trapped cloud by two laser beams and manipulated
with just MHz changes in the frequency of one beam. We employ radio-frequency
spectroscopy to measure the imprinted 1D spatial profiles of the local
mean-field interactions and to demonstrate that the tuning range of the
scattering length is the same for both optical and magnetic control. All of the
data are in excellent agreement with our continuum-dressed state theoretical
model of optical control, which includes both the spatial and momentum
dependence of the interactions.
| cond-mat.quant-gas | designer optical control of interactions in ultracold atomic gases has wide application from creating new quantum phases to modeling the physics of black holes we demonstrate spatial control of interactions in a twocomponent cloud of 6li fermions using electromagnetically induced transparency eit to create a sandwich of resonantly and weakly interacting regions interaction designs are imprinted on the trapped cloud by two laser beams and manipulated with just mhz changes in the frequency of one beam we employ radiofrequency spectroscopy to measure the imprinted 1d spatial profiles of the local meanfield interactions and to demonstrate that the tuning range of the scattering length is the same for both optical and magnetic control all of the data are in excellent agreement with our continuumdressed state theoretical model of optical control which includes both the spatial and momentum dependence of the interactions | [['designer', 'optical', 'control', 'of', 'interactions', 'in', 'ultracold', 'atomic', 'gases', 'has', 'wide', 'application', 'from', 'creating', 'new', 'quantum', 'phases', 'to', 'modeling', 'the', 'physics', 'of', 'black', 'holes', 'we', 'demonstrate', 'spatial', 'control', 'of', 'interactions', 'in', 'a', 'twocomponent', 'cloud', 'of', '6li', 'fermions', 'using', 'electromagnetically', 'induced', 'transparency', 'eit', 'to', 'create', 'a', 'sandwich', 'of', 'resonantly', 'and', 'weakly', 'interacting', 'regions', 'interaction', 'designs', 'are', 'imprinted', 'on', 'the', 'trapped', 'cloud', 'by', 'two', 'laser', 'beams', 'and', 'manipulated', 'with', 'just', 'mhz', 'changes', 'in', 'the', 'frequency', 'of', 'one', 'beam', 'we', 'employ', 'radiofrequency', 'spectroscopy', 'to', 'measure', 'the', 'imprinted', '1d', 'spatial', 'profiles', 'of', 'the', 'local', 'meanfield', 'interactions', 'and', 'to', 'demonstrate', 'that', 'the', 'tuning', 'range', 'of', 'the', 'scattering', 'length', 'is', 'the', 'same', 'for', 'both', 'optical', 'and', 'magnetic', 'control', 'all', 'of', 'the', 'data', 'are', 'in', 'excellent', 'agreement', 'with', 'our', 'continuumdressed', 'state', 'theoretical', 'model', 'of', 'optical', 'control', 'which', 'includes', 'both', 'the', 'spatial', 'and', 'momentum', 'dependence', 'of', 'the', 'interactions']] | [-0.1468356401532245, 0.19716593243262107, -0.04508381503258946, 0.02800771206526903, -0.008734304390901284, -0.151248756400812, 0.02438987239444856, 0.42055237084198344, -0.25759192205724313, -0.3315085591145342, 0.013815426987950965, -0.28786314107986877, -0.05739279786165027, 0.20518958427032066, 0.05775633681374569, 0.056374994591933764, 0.006973019166239839, -0.04926679059260076, -0.030949477280537003, -0.16077360681345243, 0.3155254074271849, 0.05446521401415385, 0.30924647936610866, 0.057233462954382246, 0.0955165362097792, 0.04157671407066125, 0.02958322808200078, -0.025896805780772254, -0.09300307242607861, 0.1305940313991381, 0.20862091857171114, 0.018636765656155272, 0.21342361071180527, -0.4586790150379856, -0.25195141316880637, 0.07201980331095217, 0.17429399398396717, 0.1553411510556923, -0.10652031273524136, -0.31949082508736804, -0.03393836417268935, -0.15136445936807197, -0.14979167584674902, -0.09335848630599429, -0.019868749981116263, 0.08814187576699493, -0.2757606464672646, 0.040055858008161506, 0.011503944056202395, 0.09437179260069786, -0.10266554262824089, -0.02329311061905121, -0.017950249519266135, 0.09808332065669753, -0.06477841995103727, -0.004553829027480519, 0.17208972983665283, -0.16747213551680817, -0.10338477600238574, 0.390191327941289, -0.10138185134680151, -0.1269643149027105, 0.22956096922657152, -0.19139539145057596, -0.027546979329488474, 0.1302575188330475, 0.178733546105917, 0.07380745178021544, -0.14572145437014375, 0.047133341669054744, -0.024030964714374475, 0.21020588438485568, 0.07586935293867433, 0.10614685930947985, 0.25950145519258144, 0.19512946854124394, 0.019461610923996932, 0.15084432994129418, -0.1327594248812458, -0.10174734388953811, -0.222343713942942, -0.09211693927243673, -0.17040370445005032, -0.0012817380634947218, -0.05884284098251981, -0.1484940935649889, 0.42512393923034125, 0.18344901630021765, 0.18913985650128812, -0.06667691959728145, 0.3183891591998355, 0.0893551750123675, 0.06771572258594788, 0.010484031659530864, 0.2924813726990611, 0.15107487293425947, 0.07905302890207913, -0.29119912525069425, -0.007285261617156027, -0.019778884716144356] |
1,803.01921 | Modified scattering for the cubic Schr\"odinger equation small data
solution on product space | In this paper we consider the long time behavior of solutions to the cubic
nonlinear Schr\"odinger equation posed on the spatial domain
$\mathbb{R}\times\mathbb{T}^{d}$, $1\leq d\leq4$. For sufficiently small,
smooth, decaying data we prove global existence and derive modified asymptotic
dynamics. We also consider the asymptotic completeness problem.
| math.AP | in this paper we consider the long time behavior of solutions to the cubic nonlinear schrodinger equation posed on the spatial domain mathbbrtimesmathbbtd 1leq dleq4 for sufficiently small smooth decaying data we prove global existence and derive modified asymptotic dynamics we also consider the asymptotic completeness problem | [['in', 'this', 'paper', 'we', 'consider', 'the', 'long', 'time', 'behavior', 'of', 'solutions', 'to', 'the', 'cubic', 'nonlinear', 'schrodinger', 'equation', 'posed', 'on', 'the', 'spatial', 'domain', 'mathbbrtimesmathbbtd', '1leq', 'dleq4', 'for', 'sufficiently', 'small', 'smooth', 'decaying', 'data', 'we', 'prove', 'global', 'existence', 'and', 'derive', 'modified', 'asymptotic', 'dynamics', 'we', 'also', 'consider', 'the', 'asymptotic', 'completeness', 'problem']] | [-0.17707989273754798, 0.027976713396365874, -0.06599983712658286, 0.12127843100587717, -0.10545951095612152, -0.1363460858878882, -0.019796452290155805, 0.3183702580509302, -0.29293827825408103, -0.218516840275539, 0.14710954461074638, -0.2608414598052268, -0.13288728562791063, 0.11749497874457714, -0.03901967843589575, 0.0971317349429465, 0.06134838606332145, 0.011127676207410253, -0.056623659774904016, -0.26155016446769563, 0.3591522677882534, -0.07895036005293546, 0.2324834585837696, 0.046765781736568264, 0.13735925175664623, 0.033873540470148844, 0.013052011799553166, -0.003045757240413324, -0.26877280283699057, 0.03882823780978746, 0.20725174183430878, 0.08058286841159039, 0.31059800452836184, -0.4675029997268449, -0.21747017767199356, 0.18085129322160198, 0.18913983074320562, 0.11662110421077712, -0.0530063236820633, -0.3025769822137511, 0.10883587433794595, -0.07846689141233978, -0.27058669228268706, -0.08361643200497264, 0.04056668658133434, 0.06617364246377964, -0.2805320086443554, 0.1439997903394017, 0.10689768097970796, 0.009819282603490612, -0.14443045493680984, -0.03928447842759931, 0.03018397791311145, 0.06062697503796738, 0.0713905317293804, -0.04337869410443565, -0.06319397061293863, -0.10344214295543244, -0.02702903403374164, 0.31239674531895184, -0.13417785857682643, -0.26227598313404166, 0.13747486945889567, -0.16271471276717342, -0.13495934068265816, 0.0479472736099168, 0.2514201243630732, 0.19604044723445954, -0.13161234940280733, 0.19404147972185773, -0.05460012597841737, 0.15985935221871603, 0.10724984018294059, 0.0536471856555537, 0.07179050844000734, 0.17626459299303268, 0.11103200940820186, 0.17958599434274694, -0.05358153196562932, -0.09192280734524778, -0.3450589345201202, -0.09797032888087889, -0.15478013879012154, 0.12204483604949454, -0.1332592113021351, -0.17361166822197643, 0.3769597931076651, 0.12387552847275915, 0.17200850270202625, 0.15840405603344349, 0.20996539857562468, 0.18597153340385336, -0.09538102935513725, 0.11008694529047479, 0.16767874578742878, 0.09589674437175626, 0.1579859140632755, -0.256384990162864, -0.01601666591697089, 0.12845595474557384] |
1,803.01922 | Propagation of chaos for topological interactions | We consider a $N$-particle model describing an alignment mechanism due to a
topological interaction among the agents. We show that the kinetic equation,
expected to hold in the mean-field limit $N \to \infty$, as following from the
previous analysis in [A. Blanchet, P. Degond, Topological interactions in a
Boltzmann-type framework, J. Stat. Phys., 163 (2016), pp. 41-60.] can be
rigorously derived. This means that the statistical independence (propagation
of chaos) is indeed recovered in the limit, provided it is assumed at time
zero.
| math-ph math.MP | we consider a nparticle model describing an alignment mechanism due to a topological interaction among the agents we show that the kinetic equation expected to hold in the meanfield limit n to infty as following from the previous analysis in a blanchet p degond topological interactions in a boltzmanntype framework j stat phys 163 2016 pp 4160 can be rigorously derived this means that the statistical independence propagation of chaos is indeed recovered in the limit provided it is assumed at time zero | [['we', 'consider', 'a', 'nparticle', 'model', 'describing', 'an', 'alignment', 'mechanism', 'due', 'to', 'a', 'topological', 'interaction', 'among', 'the', 'agents', 'we', 'show', 'that', 'the', 'kinetic', 'equation', 'expected', 'to', 'hold', 'in', 'the', 'meanfield', 'limit', 'n', 'to', 'infty', 'as', 'following', 'from', 'the', 'previous', 'analysis', 'in', 'a', 'blanchet', 'p', 'degond', 'topological', 'interactions', 'in', 'a', 'boltzmanntype', 'framework', 'j', 'stat', 'phys', '163', '2016', 'pp', '4160', 'can', 'be', 'rigorously', 'derived', 'this', 'means', 'that', 'the', 'statistical', 'independence', 'propagation', 'of', 'chaos', 'is', 'indeed', 'recovered', 'in', 'the', 'limit', 'provided', 'it', 'is', 'assumed', 'at', 'time', 'zero']] | [-0.13786787224312155, 0.12947984193104561, -0.14145743878101033, 0.08219485342395996, -0.001292280892067286, -0.1160687006875334, 0.0501103788783987, 0.2724187883284751, -0.2583752926214632, -0.28602869147771454, -0.004343383816486022, -0.28985946282116043, -0.1435687638824828, 0.10962326651023903, -0.046162084923181905, 0.03956191584675472, 0.018683742184797864, 0.004507732448583266, 0.001408630325627255, -0.2253766775731536, 0.2117983835850315, 0.05974205730886883, 0.27990644279459254, 0.039326795113149536, 0.0646428020239011, 0.053766275817775225, 0.013209338838526284, 0.01837480606802975, -0.18462781136359666, 0.03788026501368507, 0.24063475671889126, 0.03727937768022698, 0.2379048568230257, -0.37795694861617163, -0.21888295998684612, 0.11646121482824884, 0.13865922807704611, 0.11898085382536996, 0.042434215415213035, -0.3091086041159838, 0.09655665079165385, -0.21383842123470392, -0.15104176983775863, -0.04761993677456336, 0.07476373908884194, 0.010243094935788807, -0.3255250341180398, 0.12055947087110436, 0.11006147146269858, 0.04761359736103149, -0.03662912604393415, -0.09032520450965827, -0.044555693006434714, 0.04941059026238789, 0.046310053411758985, 0.08231446372502181, 0.05057326089927411, -0.08988784015436757, -0.11404883763921189, 0.38558967704379776, -0.08283812803474355, -0.20776465580046896, 0.2054575715636195, -0.1307689566231832, -0.15253362638584103, 0.10973782801484487, 0.13446183110228235, 0.10070664973099189, -0.18749499143695975, 0.16290136639881564, -0.061454245439135885, 0.1614799766565662, 0.04383447612579688, -0.02117026551677116, 0.12998596063242798, 0.14141408800629965, 0.013875000969877085, 0.08575529487192048, -0.03439805543902947, -0.13290836138044854, -0.32623296883798775, -0.12118239591497064, -0.22026601464050002, 0.14079020041776036, -0.04104218070664589, -0.08558293401701264, 0.30581600735165987, 0.2108093623060688, 0.19935370390359536, 0.05864023237702358, 0.20410509757607817, 0.17132971988828202, -0.03764549301690366, 0.11038418102123022, 0.2644187785707504, 0.18414011660189064, 0.10781843765044069, -0.20393425228736217, 0.036770883279976, 0.1114839826351458] |
1,803.01923 | A comparison between semi-analytical gas cooling models and cosmological
hydrodynamical simulations | We compare the mass cooling rates and cumulative cooled-down masses predicted
by several semi-analytical (SA) cooling models with cosmological hydrodynamical
simulations performed using the AREPO code (ignoring processes such as feedback
and chemical enrichment). The SA cooling models are the new GALFORM cooling
model introduced in Hou et al. (2017), along with two earlier GALFORM cooling
models and the L-GALAXIES and MORGANA cooling models. We find that the
predictions of the new GALFORM cooling model are generally in best agreement
with the simulations. For halos with $M_{\rm halo}\lesssim 3\times
10^{11}\,{\rm M}_{\odot}$, the SA models predict that the timescale for
radiative cooling is shorter than or comparable to the gravitational infall
timescale. Even though SA models assume that gas falls onto galaxies from a
spherical gas halo, while the simulations show that the cold gas is accreted
through filaments, both methods predict similar mass cooling rates, because in
both cases the gas accretion occurs on similar timescales. For halos with
$M_{\rm halo}\gtrsim 10^{12}\,{\rm M}_{\odot}$, gas in the simulations
typically cools from a roughly spherical hot gas halo, as assumed in the SA
models, but the halo gas gradually contracts during cooling, leading to
compressional heating. SA models ignore this heating, and so overestimate mass
cooling rates by factors of a few. At low redshifts halo major mergers or a
sequence of successive smaller mergers are seen in the simulations to strongly
heat the halo gas and suppress cooling, while mergers at high redshifts do not
suppress cooling, because the gas filaments are difficult to heat up. The new
SA cooling model best captures these effects.
| astro-ph.GA | we compare the mass cooling rates and cumulative cooleddown masses predicted by several semianalytical sa cooling models with cosmological hydrodynamical simulations performed using the arepo code ignoring processes such as feedback and chemical enrichment the sa cooling models are the new galform cooling model introduced in hou et al 2017 along with two earlier galform cooling models and the lgalaxies and morgana cooling models we find that the predictions of the new galform cooling model are generally in best agreement with the simulations for halos with m_rm halolesssim 3times 1011rm m_odot the sa models predict that the timescale for radiative cooling is shorter than or comparable to the gravitational infall timescale even though sa models assume that gas falls onto galaxies from a spherical gas halo while the simulations show that the cold gas is accreted through filaments both methods predict similar mass cooling rates because in both cases the gas accretion occurs on similar timescales for halos with m_rm halogtrsim 1012rm m_odot gas in the simulations typically cools from a roughly spherical hot gas halo as assumed in the sa models but the halo gas gradually contracts during cooling leading to compressional heating sa models ignore this heating and so overestimate mass cooling rates by factors of a few at low redshifts halo major mergers or a sequence of successive smaller mergers are seen in the simulations to strongly heat the halo gas and suppress cooling while mergers at high redshifts do not suppress cooling because the gas filaments are difficult to heat up the new sa cooling model best captures these effects | [['we', 'compare', 'the', 'mass', 'cooling', 'rates', 'and', 'cumulative', 'cooleddown', 'masses', 'predicted', 'by', 'several', 'semianalytical', 'sa', 'cooling', 'models', 'with', 'cosmological', 'hydrodynamical', 'simulations', 'performed', 'using', 'the', 'arepo', 'code', 'ignoring', 'processes', 'such', 'as', 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1,803.01924 | Off-resonant all-optical switching dynamics in a ferromagnetic model
system | We present a theoretical study of the the effects of off-resonant polarized
optical fields on a ferromagnetic model system. We determine the light-induced
dynamics of itinerant carriers in a system that includes magnetism at the
mean-field level and spin-orbit coupling. We investigate an all-optical
switching process for ferromagnets, which is close to the one proposed by
Qaiumzadeh et al. [Phys. Rev. B 88, 064416] for the inverse Faraday effect. By
computing the optically driven coherent dynamics together with incoherent
scattering mechanisms we go beyond a perturbation expansion in powers of the
optical field. We find an important contribution of a dynamic Stark effect
coupling of the Raman type between the magnetic bands, which leads to a
polarization-dependent effect on the magnetization that may support or oppose
switching, but also contributes to demagnetization via an increase in
electronic energy.
| cond-mat.mtrl-sci cond-mat.mes-hall | we present a theoretical study of the the effects of offresonant polarized optical fields on a ferromagnetic model system we determine the lightinduced dynamics of itinerant carriers in a system that includes magnetism at the meanfield level and spinorbit coupling we investigate an alloptical switching process for ferromagnets which is close to the one proposed by qaiumzadeh et al phys rev b 88 064416 for the inverse faraday effect by computing the optically driven coherent dynamics together with incoherent scattering mechanisms we go beyond a perturbation expansion in powers of the optical field we find an important contribution of a dynamic stark effect coupling of the raman type between the magnetic bands which leads to a polarizationdependent effect on the magnetization that may support or oppose switching but also contributes to demagnetization via an increase in electronic energy | [['we', 'present', 'a', 'theoretical', 'study', 'of', 'the', 'the', 'effects', 'of', 'offresonant', 'polarized', 'optical', 'fields', 'on', 'a', 'ferromagnetic', 'model', 'system', 'we', 'determine', 'the', 'lightinduced', 'dynamics', 'of', 'itinerant', 'carriers', 'in', 'a', 'system', 'that', 'includes', 'magnetism', 'at', 'the', 'meanfield', 'level', 'and', 'spinorbit', 'coupling', 'we', 'investigate', 'an', 'alloptical', 'switching', 'process', 'for', 'ferromagnets', 'which', 'is', 'close', 'to', 'the', 'one', 'proposed', 'by', 'qaiumzadeh', 'et', 'al', 'phys', 'rev', 'b', '88', '064416', 'for', 'the', 'inverse', 'faraday', 'effect', 'by', 'computing', 'the', 'optically', 'driven', 'coherent', 'dynamics', 'together', 'with', 'incoherent', 'scattering', 'mechanisms', 'we', 'go', 'beyond', 'a', 'perturbation', 'expansion', 'in', 'powers', 'of', 'the', 'optical', 'field', 'we', 'find', 'an', 'important', 'contribution', 'of', 'a', 'dynamic', 'stark', 'effect', 'coupling', 'of', 'the', 'raman', 'type', 'between', 'the', 'magnetic', 'bands', 'which', 'leads', 'to', 'a', 'polarizationdependent', 'effect', 'on', 'the', 'magnetization', 'that', 'may', 'support', 'or', 'oppose', 'switching', 'but', 'also', 'contributes', 'to', 'demagnetization', 'via', 'an', 'increase', 'in', 'electronic', 'energy']] | [-0.16158366582513897, 0.16450160182017393, -0.045415424358318836, 0.013815997907640314, -0.05994359357282519, -0.08699784503208802, 0.09882708392979112, 0.39438302173306616, -0.2730055701001273, -0.2639919027535464, -0.015118306275861174, -0.2794882835245089, -0.15391664997749852, 0.2024456296040786, 0.01739887994207332, -0.04480655258264639, -0.04827218345256851, -0.058063519081128216, -0.016852811073048916, -0.1781369063862846, 0.290893469546812, 0.06537563536275069, 0.3004765633514206, 0.07965854901532807, 0.07132808761397268, 0.050038169711650184, 0.06687723724719356, -0.00022037619526278884, -0.11162414884261927, 0.08094538114485605, 0.19045947063440347, -0.06838613660896525, 0.2504612805924433, -0.46830405006596054, -0.20767312227604529, 0.04214055893381181, 0.11424994224238189, 0.1967472773634226, -0.05557648214230807, -0.27191855874843895, -0.00199912056867855, -0.1674291194512454, -0.12805910151698352, -0.11110105738985379, 0.0447065649624325, -0.007305240065119613, -0.31508882688906265, 0.08323727810891475, 0.08940517346747905, 0.0875348929206238, -0.08431521187166628, -0.04925387321033187, -0.018989744995076975, 0.041346854292308256, 0.0159408848885505, 0.046629794694608255, 0.1491391968481955, -0.11581243559896179, -0.1639711629695204, 0.34110965694451484, -0.10671761461793829, -0.10260203640962787, 0.17073117174646435, -0.1585734626826118, -0.0627168153946781, 0.14306769817930592, 0.19054249870703857, 0.10666616335305769, -0.13810027022640603, 0.08303180316707927, 0.0033252930973985176, 0.1721746343502994, 0.017613780698465073, 0.07626832224195823, 0.22989210550782874, 0.18389839249122067, 0.013692692959653762, 0.16266571264371604, -0.12905942298547254, -0.07707017383403153, -0.25106834584970356, -0.12998020540073732, -0.17594207803417436, 0.0977809439149603, -0.022531252491235672, -0.1440494685461197, 0.4006247533457902, 0.19618834083752623, 0.1774602101170732, -0.06452947130395949, 0.30284276670392823, 0.15117621298165485, 0.04308024642737377, 0.0662001712116762, 0.33466458418201106, 0.19281726175241226, 0.10514173817971502, -0.3397903973955716, 0.04430356735075988, 0.0038008610940510955] |
1,803.01925 | Improved bounds on Brun's constant | Brun's constant is $B=\sum_{p \in P_{2}} p^{-1} + (p+2)^{-1}$, where the
summation is over all twin primes. We improve the unconditional bounds on
Brun's constant to $1.840503 < B < 2.288513$, which is about a 13\% improvement
on the previous best published result.
| math.NT | bruns constant is bsum_p in p_2 p1 p21 where the summation is over all twin primes we improve the unconditional bounds on bruns constant to 1840503 b 2288513 which is about a 13 improvement on the previous best published result | [['bruns', 'constant', 'is', 'bsum_p', 'in', 'p_2', 'p1', 'p21', 'where', 'the', 'summation', 'is', 'over', 'all', 'twin', 'primes', 'we', 'improve', 'the', 'unconditional', 'bounds', 'on', 'bruns', 'constant', 'to', '1840503', 'b', '2288513', 'which', 'is', 'about', 'a', '13', 'improvement', 'on', 'the', 'previous', 'best', 'published', 'result']] | [-0.18047025797234192, 0.08176700647517636, -0.06172300021894075, 0.058830492296004414, -0.07922289626927718, -0.11143027984763722, 0.1033862218059398, 0.314042558339802, -0.21883424469647375, -0.30940647111148445, 0.10429658901537894, -0.2938996964461497, -0.038684677936740824, 0.22626972206037593, -0.1226826216270392, 0.04039966803346131, 0.026696386369499, 0.08109876364972946, -0.040962403250002374, -0.4191253802462204, 0.24389103627637834, 0.001937374145396658, 0.20521296122790994, 0.06611997296882642, 0.02881804189166507, 0.001489868777728564, -0.0005387283760953594, -0.10554522547770191, -0.22602652556992867, 0.10365623348971477, 0.2106146046992492, 0.07763941799970092, 0.256696130451117, -0.3057284439486024, -0.13360561328512188, 0.12283254237342123, 0.1409760295740656, 0.023347785252750525, 0.04921197263851158, -0.20528745691518527, 0.16492145825366214, -0.14636290430821278, -0.05735125005043842, 0.002525276882020203, 0.07520795744415876, 0.022388649676498527, -0.33302285064112497, 0.08714382345410618, 0.11936156849402028, 0.09613130621712755, -0.08285290246980416, -0.28325047566731637, 0.08752556384314557, 0.07682104379794485, 0.055720707407925986, 0.14359377323322603, -0.00308728200458997, -0.025320714264101273, -0.14800430474349777, 0.31595599631199967, -0.13067874659916284, -0.16612194482916715, 0.10005046337893284, -0.19975596477554455, -0.1381176647453292, 0.11548067090680471, 0.058725703985908546, 0.11941852100898286, -0.0012422003405722411, 0.14918272504331292, -0.1529253780892169, 0.1836388496228972, 0.18923606763820391, -0.014627651160431875, 0.028759183513151633, 0.07989783976478754, 0.11306306198742744, 0.059093594953820515, -0.007087219846309037, -0.07916017855844788, -0.34061544811403427, -0.15572757283980782, -0.196861685911269, 0.0907900034374482, -0.1021129368628199, -0.09291010954090066, 0.3457878257928265, 0.08456681391878708, 0.21950032239830172, 0.06619896483922226, 0.2803116139225863, 0.06557263871906577, 0.04269460238346427, 0.08734132683005284, 0.2285931207038261, 0.11801547856649032, 0.012971079137453155, -0.11021625299661143, 0.08271215121085579, 0.11934714182909276] |
1,803.01926 | A smooth zero-entropy diffeomorphism whose product with itself is
loosely Bernoulli | Let $M$ be a smooth compact connected manifold of dimension $d\geq 2$,
possibly with boundary, that admits a smooth effective $\mathbb{T}^2$-action
$\mathcal{S}=\left\{S_{\alpha,\beta}\right\}_{(\alpha,\beta) \in \mathbb{T}^2}$
preserving a smooth volume $\nu$, and let $\mathcal{B}$ be the $C^{\infty}$
closure of $\left\{h \circ S_{\alpha,\beta} \circ h^{-1} \;:\;h \in
\text{Diff}^{\infty}\left(M,\nu\right), (\alpha,\beta) \in
\mathbb{T}^2\right\}$. We construct a $C^{\infty}$ diffeomorphism $T \in
\mathcal{B}$ with topological entropy $0$ such that $T \times T$ is loosely
Bernoulli. Moreover, we show that the set of such $T \in \mathcal{B}$ contains
a dense $G_{\delta}$ subset of $\mathcal{B}$. The proofs are based on a
two-dimensional version of the approximation-by-conjugation method.
| math.DS | let m be a smooth compact connected manifold of dimension dgeq 2 possibly with boundary that admits a smooth effective mathbbt2action mathcalslefts_alphabetaright_alphabeta in mathbbt2 preserving a smooth volume nu and let mathcalb be the cinfty closure of lefth circ s_alphabeta circ h1 h in textdiffinftyleftmnuright alphabeta in mathbbt2right we construct a cinfty diffeomorphism t in mathcalb with topological entropy 0 such that t times t is loosely bernoulli moreover we show that the set of such t in mathcalb contains a dense g_delta subset of mathcalb the proofs are based on a twodimensional version of the approximationbyconjugation method | [['let', 'm', 'be', 'a', 'smooth', 'compact', 'connected', 'manifold', 'of', 'dimension', 'dgeq', '2', 'possibly', 'with', 'boundary', 'that', 'admits', 'a', 'smooth', 'effective', 'mathbbt2action', 'mathcalslefts_alphabetaright_alphabeta', 'in', 'mathbbt2', 'preserving', 'a', 'smooth', 'volume', 'nu', 'and', 'let', 'mathcalb', 'be', 'the', 'cinfty', 'closure', 'of', 'lefth', 'circ', 's_alphabeta', 'circ', 'h1', 'h', 'in', 'textdiffinftyleftmnuright', 'alphabeta', 'in', 'mathbbt2right', 'we', 'construct', 'a', 'cinfty', 'diffeomorphism', 't', 'in', 'mathcalb', 'with', 'topological', 'entropy', '0', 'such', 'that', 't', 'times', 't', 'is', 'loosely', 'bernoulli', 'moreover', 'we', 'show', 'that', 'the', 'set', 'of', 'such', 't', 'in', 'mathcalb', 'contains', 'a', 'dense', 'g_delta', 'subset', 'of', 'mathcalb', 'the', 'proofs', 'are', 'based', 'on', 'a', 'twodimensional', 'version', 'of', 'the', 'approximationbyconjugation', 'method']] | [-0.23227716239969284, 0.1610060803353182, -0.046861633351270825, -0.02938494305844676, -0.043280238231168465, -0.16061855766407035, 0.007374529479111129, 0.3647959635375028, -0.27697192580300445, -0.12205318636954465, 0.08061957280919392, -0.2849679217138823, -0.08217098873029365, 0.18261238364651403, -0.11080204545857107, 0.005092289100619073, 0.045975085347890854, 0.13626047137361813, -0.11016486924230814, -0.2147286245029697, 0.33630697643186186, -0.16542443660821052, 0.13447245394196758, 0.03461971782033946, 0.13991717448299554, -0.07244769885809102, 0.028738351954900203, 0.07094394271707836, -0.23176113878582058, 0.058793792496138114, 0.26166462311719324, 0.11766435154168768, 0.2507281348287584, -0.3170502631469293, -0.15646829878406085, 0.2328073089407321, 0.11248686260722102, -0.12392763687456225, 0.005763752389689313, -0.3108664433214259, 0.19402643422437635, -0.10519365792935516, -0.14206636535063227, -0.08770353416664566, 0.15487657053435736, 0.013738812918358661, -0.3433230742019542, 0.05213781044554669, 0.1349036004295216, 0.04984255237603917, -0.010312934064286504, -0.1044049055384908, -0.12995677510464682, 0.01393329611597979, -0.060751250739447135, 0.2258840208994522, 0.09351331515217874, -0.03623404422932196, -0.048549519827034565, 0.33753693077039526, -0.13373956092177552, -0.2863758378067708, 0.13041343490662488, -0.21573788817337852, -0.17631805808521173, 0.12774547245452536, 0.12563044252864858, 0.18509277009821318, -0.04270869720865913, 0.28565033476123525, -0.14208587720628552, 0.13221706468314726, 0.08471328908319961, 0.0011196659354336977, 0.10499213598272268, 0.139083685806675, 0.17026178895228325, 0.11602842966478535, -0.010209459826310581, 0.04279101506232264, -0.4152592599907137, -0.15803316770557393, -0.14387617459609867, 0.22580834467984498, -0.13420385396231257, -0.18421693710471562, 0.2779858427895035, 0.007248456074677883, 0.24952928357797258, 0.10974377384186386, 0.18236651064510992, 0.048252871697378456, 0.024525604062178668, 0.15754313833337832, 0.02505516796868215, 0.18052204262324054, -0.03295987169753681, -0.137814872088208, -0.03509368295186853, 0.18982382956396868] |
1,803.01927 | Energy-entropy competition and the effectiveness of stochastic gradient
descent in machine learning | Finding parameters that minimise a loss function is at the core of many
machine learning methods. The Stochastic Gradient Descent algorithm is widely
used and delivers state of the art results for many problems. Nonetheless,
Stochastic Gradient Descent typically cannot find the global minimum, thus its
empirical effectiveness is hitherto mysterious. We derive a correspondence
between parameter inference and free energy minimisation in statistical
physics. The degree of undersampling plays the role of temperature. Analogous
to the energy-entropy competition in statistical physics, wide but shallow
minima can be optimal if the system is undersampled, as is typical in many
applications. Moreover, we show that the stochasticity in the algorithm has a
non-trivial correlation structure which systematically biases it towards wide
minima. We illustrate our argument with two prototypical models: image
classification using deep learning, and a linear neural network where we can
analytically reveal the relationship between entropy and out-of-sample error.
| cs.LG cond-mat.stat-mech stat.ML | finding parameters that minimise a loss function is at the core of many machine learning methods the stochastic gradient descent algorithm is widely used and delivers state of the art results for many problems nonetheless stochastic gradient descent typically cannot find the global minimum thus its empirical effectiveness is hitherto mysterious we derive a correspondence between parameter inference and free energy minimisation in statistical physics the degree of undersampling plays the role of temperature analogous to the energyentropy competition in statistical physics wide but shallow minima can be optimal if the system is undersampled as is typical in many applications moreover we show that the stochasticity in the algorithm has a nontrivial correlation structure which systematically biases it towards wide minima we illustrate our argument with two prototypical models image classification using deep learning and a linear neural network where we can analytically reveal the relationship between entropy and outofsample error | [['finding', 'parameters', 'that', 'minimise', 'a', 'loss', 'function', 'is', 'at', 'the', 'core', 'of', 'many', 'machine', 'learning', 'methods', 'the', 'stochastic', 'gradient', 'descent', 'algorithm', 'is', 'widely', 'used', 'and', 'delivers', 'state', 'of', 'the', 'art', 'results', 'for', 'many', 'problems', 'nonetheless', 'stochastic', 'gradient', 'descent', 'typically', 'can', 'not', 'find', 'the', 'global', 'minimum', 'thus', 'its', 'empirical', 'effectiveness', 'is', 'hitherto', 'mysterious', 'we', 'derive', 'a', 'correspondence', 'between', 'parameter', 'inference', 'and', 'free', 'energy', 'minimisation', 'in', 'statistical', 'physics', 'the', 'degree', 'of', 'undersampling', 'plays', 'the', 'role', 'of', 'temperature', 'analogous', 'to', 'the', 'energyentropy', 'competition', 'in', 'statistical', 'physics', 'wide', 'but', 'shallow', 'minima', 'can', 'be', 'optimal', 'if', 'the', 'system', 'is', 'undersampled', 'as', 'is', 'typical', 'in', 'many', 'applications', 'moreover', 'we', 'show', 'that', 'the', 'stochasticity', 'in', 'the', 'algorithm', 'has', 'a', 'nontrivial', 'correlation', 'structure', 'which', 'systematically', 'biases', 'it', 'towards', 'wide', 'minima', 'we', 'illustrate', 'our', 'argument', 'with', 'two', 'prototypical', 'models', 'image', 'classification', 'using', 'deep', 'learning', 'and', 'a', 'linear', 'neural', 'network', 'where', 'we', 'can', 'analytically', 'reveal', 'the', 'relationship', 'between', 'entropy', 'and', 'outofsample', 'error']] | [-0.0654371490221054, 0.030948918240794324, -0.12787260266486555, 0.13006691605015044, -0.07028958906946507, -0.14715851374019526, 0.030416417333885636, 0.4058756155596041, -0.34230539682903327, -0.35252459117480994, 0.08789662633238263, -0.24761142275574935, -0.2182154274349542, 0.2116734007094668, -0.08658660341343181, 0.07978998850625144, 0.08086666490539517, 0.025516026968896193, -0.1014143850525694, -0.2514024209301504, 0.26814079111576766, 0.052897569306591515, 0.3106720521050432, 0.04512023961012203, 0.12041726209377214, -0.01827409156708439, 0.03608897176577317, 0.03495966463493747, -0.08981533036737681, 0.11789361447537024, 0.28430085422695284, 0.16734699061826655, 0.3566980383184273, -0.3687409789938676, -0.24530536173858164, 0.16103516708091392, 0.15557499985343862, 0.13061453037095672, -0.05577602322936352, -0.21017320466987593, 0.05717699975847561, -0.1310388086997256, -0.041668291620321964, -0.12547509775705343, -0.011499735940321299, 0.047543587572076114, -0.27773122462224964, 0.11129129768998705, 0.04635648366437588, 0.07097825306884356, -0.04852407594061285, -0.13123162994758641, -0.010627018221911337, 0.11789332649349442, 0.04960047393526685, 0.04815493523002308, 0.1263588747916449, -0.16781011824251005, -0.10816892803804397, 0.3280989974308269, -0.0598998493438366, -0.1834515508901524, 0.20263051178220562, -0.07594733095213183, -0.15087270937510766, 0.09993128402244397, 0.19553479177289104, 0.09863198917757568, -0.14045134359567832, 0.08462042193767909, -0.038508524946672354, 0.1725387347733455, -6.682774370634242e-05, -0.001768681825763595, 0.17974239471368492, 0.20460552505315527, 0.10523147896999849, 0.13858629336755257, -0.1298602253943835, -0.1462706979195661, -0.26749629407851516, -0.11813148384680972, -0.18041242787761516, 0.005233424087763476, -0.12535147893351295, -0.15569329278935728, 0.3948523479967231, 0.1826116167174309, 0.1966663002845292, 0.05894363627196167, 0.2951915399416497, 0.12475514732681117, 0.0555376062770129, 0.10417803662283787, 0.2651103388757053, 0.11809021726979776, 0.07445068353492963, -0.2334238111782868, 0.1090556210225546, 0.06033342400061022] |
1,803.01928 | Regularity theory for the Isaacs equation through approximation methods | In this paper, we propose an approximation method to study the regularity of
solutions to the Isaacs equation. This class of problems plays a paramount role
in the regularity theory for fully nonlinear elliptic equations. First, it is a
model-problem of a non-convex operator. In addition, the usual mechanisms to
access regularity of solutions fall short in addressing these equations. We
approximate an Isaacs equation by a Bellman one, and make assumptions on the
latter to recover information for the former. Our techniques produce results in
Sobolev and H\"older spaces; we also examine a few consequences of our main
findings.
| math.AP | in this paper we propose an approximation method to study the regularity of solutions to the isaacs equation this class of problems plays a paramount role in the regularity theory for fully nonlinear elliptic equations first it is a modelproblem of a nonconvex operator in addition the usual mechanisms to access regularity of solutions fall short in addressing these equations we approximate an isaacs equation by a bellman one and make assumptions on the latter to recover information for the former our techniques produce results in sobolev and holder spaces we also examine a few consequences of our main findings | [['in', 'this', 'paper', 'we', 'propose', 'an', 'approximation', 'method', 'to', 'study', 'the', 'regularity', 'of', 'solutions', 'to', 'the', 'isaacs', 'equation', 'this', 'class', 'of', 'problems', 'plays', 'a', 'paramount', 'role', 'in', 'the', 'regularity', 'theory', 'for', 'fully', 'nonlinear', 'elliptic', 'equations', 'first', 'it', 'is', 'a', 'modelproblem', 'of', 'a', 'nonconvex', 'operator', 'in', 'addition', 'the', 'usual', 'mechanisms', 'to', 'access', 'regularity', 'of', 'solutions', 'fall', 'short', 'in', 'addressing', 'these', 'equations', 'we', 'approximate', 'an', 'isaacs', 'equation', 'by', 'a', 'bellman', 'one', 'and', 'make', 'assumptions', 'on', 'the', 'latter', 'to', 'recover', 'information', 'for', 'the', 'former', 'our', 'techniques', 'produce', 'results', 'in', 'sobolev', 'and', 'holder', 'spaces', 'we', 'also', 'examine', 'a', 'few', 'consequences', 'of', 'our', 'main', 'findings']] | [-0.10127887860260378, -0.006815964729710943, -0.11612663772709743, 0.11805698866932418, -0.10350814028972327, -0.09909073636876513, 0.006978873064685048, 0.31560985354537313, -0.325617809337799, -0.24363785428982793, 0.1395350466352991, -0.26707185511336184, -0.16208452740778226, 0.20185827264900913, -0.11239522890272466, 0.08071597188598278, 0.06837011139012045, -0.009929981731781454, -0.09512564950537952, -0.2696767416641568, 0.3822438275309825, -0.02166201032208975, 0.2300738041110412, 0.07363396127134411, 0.11005493592132222, -0.016510636174129418, -0.013549765821245282, -0.02537590659439865, -0.19748307343788746, 0.14759383122013373, 0.2726016463335566, 0.06997357155055259, 0.3745632672099152, -0.4203650521095654, -0.2257703940073649, 0.09914029375038515, 0.1281360426560195, 0.13056427955091227, -0.0674133097360174, -0.2529886345181501, 0.09920004816406001, -0.12237535434013064, -0.2067789964688321, -0.0905727319527568, -0.015479825709880603, 0.04111459381781951, -0.30739631913978643, 0.07517023688162244, 0.12271639958701351, -0.0012012684266224053, -0.15359762293107884, -0.04623082159745573, 0.05690769326280464, 0.07606142508618609, 0.07482107831964815, 0.014727815492972356, 0.01705615854154181, -0.16020575863299796, -0.10197177441847144, 0.36371244595508384, -0.05338645848502038, -0.2816574831370904, 0.15105573564880725, -0.10442616566404174, -0.17783464813096958, 0.0717616289045022, 0.18920636882610392, 0.19339038681878587, -0.16387753544205969, 0.0937159070027804, -0.06842929645526138, 0.1426593870855868, 0.05285727013504565, 0.029664066074547742, 0.06650968601532055, 0.15894263015232152, 0.12250501205768398, 0.12855645129221935, 0.012503811146480718, -0.11944826195813772, -0.3418580876907917, -0.1589636352392986, -0.1159803851629899, 0.08655859372870188, -0.08768635478330485, -0.18397950083769934, 0.39703424675672344, 0.21273221612691579, 0.15776030154371953, 0.07003555058341737, 0.2561810122934556, 0.16497457832259108, 0.008908818983896212, 0.0897273451249783, 0.24257905231530053, 0.16670554419367978, 0.15301059198217712, -0.1851057388967919, 0.055517264354898774, 0.15589370558772123] |
1,803.01929 | Iron and silicate dust growth in the Galactic interstellar medium: clues
from element depletions | The interstellar abundances of refractory elements indicate a substantial
depletion from the gas phase, that increases with gas density. Our recent model
of dust evolution, based on hydrodynamic simulations of the lifecycle of giant
molecular clouds (GMCs) proves that the observed trend for [Si$_{gas}$/H] is
driven by a combination of dust growth by accretion in the cold diffuse
interstellar medium (ISM) and efficient destruction by supernova (SN) shocks
(Zhukovska et al. 2016). With an analytic model of dust evolution, we
demonstrate that even with optimistic assumptions for the dust input from stars
and without destruction of grains by SNe it is impossible to match the observed
[Si$_{gas}$/H]$-n_H$ relation without growth in the ISM. We extend the
framework developed in our previous work for silicates to include the evolution
of iron grains and address a long-standing conundrum: ``Where is the
interstellar iron?'. Much higher depletion of Fe in the warm neutral medium
compared to Si is reproduced by the models, in which a large fraction of
interstellar iron (70%) is locked as inclusions in silicate grains, where it is
protected from sputtering by SN shocks. The slope of the observed
[Fe$_{gas}$/H]$-n_H$ relation is reproduced if the remaining depleted iron
resides in a population of metallic iron nanoparticles with sizes in the range
of 1-10nm. Enhanced collision rates due to the Coulomb focusing are important
for both silicate and iron dust models to match the observed slopes of the
relations between depletion and density and the magnitudes of depletion at high
density.
| astro-ph.GA | the interstellar abundances of refractory elements indicate a substantial depletion from the gas phase that increases with gas density our recent model of dust evolution based on hydrodynamic simulations of the lifecycle of giant molecular clouds gmcs proves that the observed trend for si_gash is driven by a combination of dust growth by accretion in the cold diffuse interstellar medium ism and efficient destruction by supernova sn shocks zhukovska et al 2016 with an analytic model of dust evolution we demonstrate that even with optimistic assumptions for the dust input from stars and without destruction of grains by sne it is impossible to match the observed si_gashn_h relation without growth in the ism we extend the framework developed in our previous work for silicates to include the evolution of iron grains and address a longstanding conundrum where is the interstellar iron much higher depletion of fe in the warm neutral medium compared to si is reproduced by the models in which a large fraction of interstellar iron 70 is locked as inclusions in silicate grains where it is protected from sputtering by sn shocks the slope of the observed fe_gashn_h relation is reproduced if the remaining depleted iron resides in a population of metallic iron nanoparticles with sizes in the range of 110nm enhanced collision rates due to the coulomb focusing are important for both silicate and iron dust models to match the observed slopes of the relations between depletion and density and the magnitudes of depletion at high density | [['the', 'interstellar', 'abundances', 'of', 'refractory', 'elements', 'indicate', 'a', 'substantial', 'depletion', 'from', 'the', 'gas', 'phase', 'that', 'increases', 'with', 'gas', 'density', 'our', 'recent', 'model', 'of', 'dust', 'evolution', 'based', 'on', 'hydrodynamic', 'simulations', 'of', 'the', 'lifecycle', 'of', 'giant', 'molecular', 'clouds', 'gmcs', 'proves', 'that', 'the', 'observed', 'trend', 'for', 'si_gash', 'is', 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1,803.0193 | A Hybrid Heuristic for a Broad Class of Vehicle Routing Problems with
Heterogeneous Fleet | We consider a family of Rich Vehicle Routing Problems (RVRP) which have the
particularity to combine a heterogeneous fleet with other attributes, such as
backhauls, multiple depots, split deliveries, site dependency, open routes,
duration limits, and time windows. To efficiently solve these problems, we
propose a hybrid metaheuristic which combines an iterated local search with
variable neighborhood descent, for solution improvement, and a set partitioning
formulation, to exploit the memory of the past search. Moreover, we investigate
a class of combined neighborhoods which jointly modify the sequences of visits
and perform either heuristic or optimal reassignments of vehicles to routes. To
the best of our knowledge, this is the first unified approach for a large class
of heterogeneous fleet RVRPs, capable of solving more than 12 problem variants.
The efficiency of the algorithm is evaluated on 643 well-known benchmark
instances, and 71.70\% of the best known solutions are either retrieved or
improved. Moreover, the proposed metaheuristic, which can be considered as a
matheuristic, produces high quality solutions with low standard deviation in
comparison with previous methods. Finally, we observe that the use of combined
neighborhoods does not lead to significant quality gains. Contrary to
intuition, the computational effort seems better spent on more intensive route
optimization rather than on more intelligent and frequent fleet re-assignments.
| math.OC | we consider a family of rich vehicle routing problems rvrp which have the particularity to combine a heterogeneous fleet with other attributes such as backhauls multiple depots split deliveries site dependency open routes duration limits and time windows to efficiently solve these problems we propose a hybrid metaheuristic which combines an iterated local search with variable neighborhood descent for solution improvement and a set partitioning formulation to exploit the memory of the past search moreover we investigate a class of combined neighborhoods which jointly modify the sequences of visits and perform either heuristic or optimal reassignments of vehicles to routes to the best of our knowledge this is the first unified approach for a large class of heterogeneous fleet rvrps capable of solving more than 12 problem variants the efficiency of the algorithm is evaluated on 643 wellknown benchmark instances and 7170 of the best known solutions are either retrieved or improved moreover the proposed metaheuristic which can be considered as a matheuristic produces high quality solutions with low standard deviation in comparison with previous methods finally we observe that the use of combined neighborhoods does not lead to significant quality gains contrary to intuition the computational effort seems better spent on more intensive route optimization rather than on more intelligent and frequent fleet reassignments | [['we', 'consider', 'a', 'family', 'of', 'rich', 'vehicle', 'routing', 'problems', 'rvrp', 'which', 'have', 'the', 'particularity', 'to', 'combine', 'a', 'heterogeneous', 'fleet', 'with', 'other', 'attributes', 'such', 'as', 'backhauls', 'multiple', 'depots', 'split', 'deliveries', 'site', 'dependency', 'open', 'routes', 'duration', 'limits', 'and', 'time', 'windows', 'to', 'efficiently', 'solve', 'these', 'problems', 'we', 'propose', 'a', 'hybrid', 'metaheuristic', 'which', 'combines', 'an', 'iterated', 'local', 'search', 'with', 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1,803.01931 | Structure and generation of crossing-critical graphs | We study c-crossing-critical graphs, which are the minimal graphs that require at least c edge-crossings when drawn in the plane. For c=1 there are only two such graphs without degree-2 vertices, K_5 and K_3,3, but for any fixed c>1 there exist infinitely many c-crossing-critical graphs. It has been previously shown that c-crossing-critical graphs have bounded path-width and contain only a bounded number of internally disjoint paths between any two vertices. We expand on these results, providing a more detailed description of the structure of crossing-critical graphs. On the way towards this description, we prove a new structural characterisation of plane graphs of bounded path-width. Then we show that every c-crossing-critical graph can be obtained from a c-crossing-critical graph of bounded size by replicating bounded-size parts that already appear in narrow "bands" or "fans" in the graph. This also gives an algorithm to generate all the c-crossing-critical graphs of at most given order n in polynomial time per each generated graph. | math.CO cs.CG | we study ccrossingcritical graphs which are the minimal graphs that require at least c edgecrossings when drawn in the plane for c1 there are only two such graphs without degree2 vertices k_5 and k_33 but for any fixed c1 there exist infinitely many ccrossingcritical graphs it has been previously shown that ccrossingcritical graphs have bounded pathwidth and contain only a bounded number of internally disjoint paths between any two vertices we expand on these results providing a more detailed description of the structure of crossingcritical graphs on the way towards this description we prove a new structural characterisation of plane graphs of bounded pathwidth then we show that every ccrossingcritical graph can be obtained from a ccrossingcritical graph of bounded size by replicating boundedsize parts that already appear in narrow bands or fans in the graph this also gives an algorithm to generate all the ccrossingcritical graphs of at most given order n in polynomial time per each generated graph | [['we', 'study', 'ccrossingcritical', 'graphs', 'which', 'are', 'the', 'minimal', 'graphs', 'that', 'require', 'at', 'least', 'c', 'edgecrossings', 'when', 'drawn', 'in', 'the', 'plane', 'for', 'c1', 'there', 'are', 'only', 'two', 'such', 'graphs', 'without', 'degree2', 'vertices', 'k_5', 'and', 'k_33', 'but', 'for', 'any', 'fixed', 'c1', 'there', 'exist', 'infinitely', 'many', 'ccrossingcritical', 'graphs', 'it', 'has', 'been', 'previously', 'shown', 'that', 'ccrossingcritical', 'graphs', 'have', 'bounded', 'pathwidth', 'and', 'contain', 'only', 'a', 'bounded', 'number', 'of', 'internally', 'disjoint', 'paths', 'between', 'any', 'two', 'vertices', 'we', 'expand', 'on', 'these', 'results', 'providing', 'a', 'more', 'detailed', 'description', 'of', 'the', 'structure', 'of', 'crossingcritical', 'graphs', 'on', 'the', 'way', 'towards', 'this', 'description', 'we', 'prove', 'a', 'new', 'structural', 'characterisation', 'of', 'plane', 'graphs', 'of', 'bounded', 'pathwidth', 'then', 'we', 'show', 'that', 'every', 'ccrossingcritical', 'graph', 'can', 'be', 'obtained', 'from', 'a', 'ccrossingcritical', 'graph', 'of', 'bounded', 'size', 'by', 'replicating', 'boundedsize', 'parts', 'that', 'already', 'appear', 'in', 'narrow', 'bands', 'or', 'fans', 'in', 'the', 'graph', 'this', 'also', 'gives', 'an', 'algorithm', 'to', 'generate', 'all', 'the', 'ccrossingcritical', 'graphs', 'of', 'at', 'most', 'given', 'order', 'n', 'in', 'polynomial', 'time', 'per', 'each', 'generated', 'graph']] | [-0.1644611322117271, 0.12406646323370296, -0.032109251304063946, 0.02385911947421846, -0.10239217660127906, -0.14488466145121492, 0.031679238856304436, 0.4353275816567475, -0.26089684839025723, -0.314938382661785, 0.09444016831403132, -0.3149030792119447, -0.13225255768193164, 0.1693673101530294, -0.07081672931341246, 0.010253168940107572, 0.12020466849207878, 0.0908218188356841, 0.01887087547511328, -0.2689117737543711, 0.28765174635996116, -0.09550949719850906, 0.12421095248719212, 0.08912229735869914, 0.08231465294447844, 0.005262995048542507, 0.0017680654644209425, 0.11134210903837811, -0.16771847151776456, 0.08836216082272585, 0.2830427051638253, 0.16053768322358336, 0.23833786692266584, -0.40756069927210775, -0.20069602729054167, 0.245307842141483, 0.13697004953719444, 0.08418878496377147, -0.018081722037914007, -0.21127382356353336, 0.14592649361584337, -0.08811746741412207, -0.07907173619896639, -0.02543456778585096, 0.07089168055579194, 0.015619539130057092, -0.2220780637802818, -0.04297178687866108, 0.1482968129479559, 0.06786320296669146, 0.04975416227534879, -0.1605328781879507, -0.07889392743527424, 0.13653206339604368, -0.06736826663473039, 0.07589890036178985, 0.018599373504912364, -0.09697306803135461, -0.1665696036827285, 0.3492061838973314, 0.004092471137846587, -0.18127131657674908, 0.15619915899587794, -0.1722871531173041, -0.23094032636436168, 0.1511618177930359, 0.11465357862180099, 0.15133387166133616, -0.10797701590427096, 0.12923874889020226, -0.12489731652021874, 0.16413083558436484, 0.17222938484046607, 0.019463808852015062, 0.12778290707210543, 0.10046106319823593, 0.15926790975318, 0.1695180797665671, 0.049222403427120295, -0.01829053216788452, -0.30891606346704065, -0.06672998232243117, -0.2128045473153179, 0.03962044033687562, -0.18464622202136524, -0.22243698650327132, 0.39887808428611604, 0.10307680079567945, 0.21679902085979846, 0.1180226243166544, 0.22126816763120588, 0.043643196651828475, 0.08708358662843238, 0.21360349631868303, 0.14092828196298796, 0.11533482080558315, -0.005448005086509511, -0.07854330969676085, 0.07943886367684172, 0.1056085538057232] |
1,803.01932 | Generalized convex hull construction for materials discovery | High-throughput computational materials searches generate large databases of
locally-stable structures. Conventionally, the needle-in-a-haystack search for
the few experimentally-synthesizable compounds is performed using a convex hull
construction, which identifies structures stabilized by manipulation of a
particular thermodynamic constraint (for example pressure or composition)
chosen based on prior experimental evidence or intuition. To address the biased
nature of this procedure we introduce a generalized convex hull framework.
Convex hulls are constructed on data-driven principal coordinates, which
represent the full structural diversity of the database. Their coupling to
experimentally-realizable constraints hints at the conditions that are most
likely to stabilize a given configuration. The probabilistic nature of our
framework also addresses the uncertainty stemming from the use of approximate
models during database construction, and eliminates redundant structures. The
remaining small set of candidates that have a high probability of being
synthesizable provide a much needed starting point for the determination of
viable synthetic pathways.
| cond-mat.mtrl-sci | highthroughput computational materials searches generate large databases of locallystable structures conventionally the needleinahaystack search for the few experimentallysynthesizable compounds is performed using a convex hull construction which identifies structures stabilized by manipulation of a particular thermodynamic constraint for example pressure or composition chosen based on prior experimental evidence or intuition to address the biased nature of this procedure we introduce a generalized convex hull framework convex hulls are constructed on datadriven principal coordinates which represent the full structural diversity of the database their coupling to experimentallyrealizable constraints hints at the conditions that are most likely to stabilize a given configuration the probabilistic nature of our framework also addresses the uncertainty stemming from the use of approximate models during database construction and eliminates redundant structures the remaining small set of candidates that have a high probability of being synthesizable provide a much needed starting point for the determination of viable synthetic pathways | [['highthroughput', 'computational', 'materials', 'searches', 'generate', 'large', 'databases', 'of', 'locallystable', 'structures', 'conventionally', 'the', 'needleinahaystack', 'search', 'for', 'the', 'few', 'experimentallysynthesizable', 'compounds', 'is', 'performed', 'using', 'a', 'convex', 'hull', 'construction', 'which', 'identifies', 'structures', 'stabilized', 'by', 'manipulation', 'of', 'a', 'particular', 'thermodynamic', 'constraint', 'for', 'example', 'pressure', 'or', 'composition', 'chosen', 'based', 'on', 'prior', 'experimental', 'evidence', 'or', 'intuition', 'to', 'address', 'the', 'biased', 'nature', 'of', 'this', 'procedure', 'we', 'introduce', 'a', 'generalized', 'convex', 'hull', 'framework', 'convex', 'hulls', 'are', 'constructed', 'on', 'datadriven', 'principal', 'coordinates', 'which', 'represent', 'the', 'full', 'structural', 'diversity', 'of', 'the', 'database', 'their', 'coupling', 'to', 'experimentallyrealizable', 'constraints', 'hints', 'at', 'the', 'conditions', 'that', 'are', 'most', 'likely', 'to', 'stabilize', 'a', 'given', 'configuration', 'the', 'probabilistic', 'nature', 'of', 'our', 'framework', 'also', 'addresses', 'the', 'uncertainty', 'stemming', 'from', 'the', 'use', 'of', 'approximate', 'models', 'during', 'database', 'construction', 'and', 'eliminates', 'redundant', 'structures', 'the', 'remaining', 'small', 'set', 'of', 'candidates', 'that', 'have', 'a', 'high', 'probability', 'of', 'being', 'synthesizable', 'provide', 'a', 'much', 'needed', 'starting', 'point', 'for', 'the', 'determination', 'of', 'viable', 'synthetic', 'pathways']] | [-0.10677897070586094, 0.0809954738356923, -0.0719062741470817, 0.05975485911855362, -0.10977780634393577, -0.1306274848202581, 0.10058849721040651, 0.34090049297317565, -0.29110604144660945, -0.32179143401675375, 0.10887093217605913, -0.2454009754176958, -0.139129631665079, 0.1807900678769579, -0.04267416352518653, 0.05745214891179321, 0.07882371575484871, -0.017402151360249946, -0.07732669459093337, -0.20733369773663204, 0.29271923011050077, 0.059006735372307065, 0.2722160806504372, 0.00431195995926657, 0.09746559662744403, -0.009171721047328022, -0.048209554156766664, 0.028729311724962205, -0.11799591535285518, 0.17327230388373638, 0.26204736449790594, 0.17500024501253045, 0.2601287171444637, -0.42309028416522, -0.20901479284808777, 0.1135273745624136, 0.08016757299848551, 0.11935628783395326, -0.08403869591272067, -0.26273306602324614, 0.09597670208176773, -0.12228902859688305, -0.11649971799893717, -0.13797684595763884, -0.005243262019783458, 0.0005414886927488416, -0.2781697192398094, 0.026778502675553085, 0.03543868449816618, 0.06045300013935756, -0.09159441663877375, -0.15057743341355717, -0.026335044001422874, 0.09476417659988139, 0.00024039967957534047, 0.029826582300057948, 0.1491871782040986, -0.09382392615103319, -0.13231459085207634, 0.40565492363096584, 0.02220080755400978, -0.19992669532075524, 0.20143418691133544, -0.07482169239137997, -0.17909799934671128, 0.15817674943370957, 0.18816335388027983, 0.14462249298523736, -0.1774727279928219, 0.07725101562752858, -0.029161645668315007, 0.1585774854899481, 0.04849054152419441, 0.04672223280477744, 0.23675975388528517, 0.18626906264310816, 0.05452472516710576, 0.14137359586975617, -0.07530768310976209, -0.10257018051241468, -0.3109795342562033, -0.10183445743992987, -0.19629029844631285, -0.0004963926102141006, -0.08806217486660337, -0.2040688821595887, 0.35934660649989675, 0.16627126983163765, 0.18961921764300174, 0.04555822119598071, 0.2790051048001174, 0.03898362460674721, 0.08974761063320524, 0.04073887583080854, 0.20029006374573285, 0.0766794338053555, 0.026063680492541534, -0.17285773041384644, 0.11568068202910008, 0.04846224608524834] |
1,803.01933 | Lower Bounds for the Exponential Domination Number of $C_m \times C_n$ | A vertex $v$ in a porous exponential dominating set assigns weight
$\left(\tfrac{1}{2}\right)^{dist(v,u)}$ to vertex $u$. A porous exponential
dominating set of a graph $G$ is a subset of $V(G)$ such that every vertex in
$V(G)$ has been assigned a sum weight of at least 1. In this paper the porous
exponential dominating number, denoted by $\gamma_e^*(G)$, for the graph $G =
C_m \times C_n$ is discussed. Anderson et. al. proved that
$\frac{mn}{15.875}\le \gamma_e^*(C_m \times C_n) \le \frac{mn}{13}$ and
conjectured that $\frac{mn}{13}$ is also the asymptotic lower bound. We use a
linear programing approach to sharpen the lower bound to $\frac{mn}{13.7619 +
\epsilon(m,n)}$.
| math.CO | a vertex v in a porous exponential dominating set assigns weight lefttfrac12rightdistvu to vertex u a porous exponential dominating set of a graph g is a subset of vg such that every vertex in vg has been assigned a sum weight of at least 1 in this paper the porous exponential dominating number denoted by gamma_eg for the graph g c_m times c_n is discussed anderson et al proved that fracmn15875le gamma_ec_m times c_n le fracmn13 and conjectured that fracmn13 is also the asymptotic lower bound we use a linear programing approach to sharpen the lower bound to fracmn137619 epsilonmn | [['a', 'vertex', 'v', 'in', 'a', 'porous', 'exponential', 'dominating', 'set', 'assigns', 'weight', 'lefttfrac12rightdistvu', 'to', 'vertex', 'u', 'a', 'porous', 'exponential', 'dominating', 'set', 'of', 'a', 'graph', 'g', 'is', 'a', 'subset', 'of', 'vg', 'such', 'that', 'every', 'vertex', 'in', 'vg', 'has', 'been', 'assigned', 'a', 'sum', 'weight', 'of', 'at', 'least', '1', 'in', 'this', 'paper', 'the', 'porous', 'exponential', 'dominating', 'number', 'denoted', 'by', 'gamma_eg', 'for', 'the', 'graph', 'g', 'c_m', 'times', 'c_n', 'is', 'discussed', 'anderson', 'et', 'al', 'proved', 'that', 'fracmn15875le', 'gamma_ec_m', 'times', 'c_n', 'le', 'fracmn13', 'and', 'conjectured', 'that', 'fracmn13', 'is', 'also', 'the', 'asymptotic', 'lower', 'bound', 'we', 'use', 'a', 'linear', 'programing', 'approach', 'to', 'sharpen', 'the', 'lower', 'bound', 'to', 'fracmn137619', 'epsilonmn']] | [-0.1491311736184583, 0.14482561316132583, -0.05440875836047194, -0.016717652251984003, -0.10510585560233042, -0.16367245993767215, 0.07431917220118746, 0.33139410859314344, -0.2664998548946554, -0.2590585419487569, 0.02872797506435784, -0.33381084225551094, -0.14205671512391618, 0.10384409321892646, -0.0893471249259047, 0.02351633964046355, 0.059672226823906424, 0.09541639010672287, 0.03408685091993101, -0.3091394703926629, 0.24310356495721686, -0.06859264154267568, 0.18569413908276586, 0.07023997759065961, 0.09564795881830236, -0.015175800840620713, 0.031235352463980195, 0.0805996270770187, -0.24512668254261682, 0.07053268202630583, 0.27035028787870563, 0.1287902577865308, 0.33179396754431145, -0.3649093224050512, -0.18525654949768577, 0.2104306136187847, 0.13068778955087226, -0.02609504823402692, 0.006425783328551759, -0.15116137869515886, 0.17066672985612225, -0.17720441023508707, -0.11028421093880009, 0.0706708111289528, 0.2064620032305679, -0.004372801641703293, -0.36000362313002027, 0.02698568874307888, 0.1151682341293562, -0.03458012289227417, 0.06401810716206749, -0.23725441827749214, -0.08219831971631895, 0.0209208550682712, -0.08039464929481588, 0.1423233327786288, 0.005703109731492136, -0.09976888468779463, -0.1246807734151521, 0.3385735014353388, -0.07077790872990003, -0.1178677688322721, 0.11355137582167342, -0.11032240861345843, -0.13230610433314996, 0.12606751082354897, 0.12200492336064257, 0.15241228134161042, -0.12708634497617843, 0.19083460618088383, -0.14691274969648288, 0.09218780828830135, 0.1321818196685404, 0.01265344376831005, 0.05643802118157187, 0.16414825979279735, 0.1825481545203866, 0.15473625622689724, 0.009230736880913698, 0.07687890571880064, -0.3269201948718038, -0.1027683842569209, -0.288967423471472, 0.1265471492223041, -0.1434373935402599, -0.17705184399520837, 0.4098651489062655, 0.05855035391305723, 0.22161216359405267, 0.08918351743129953, 0.1759726651994291, 0.1586403986016634, 0.021756343974141022, 0.1911722757943226, 0.08161892216422305, 0.17833939551435893, -0.05132608627900481, -0.20012190983560618, 0.06770006693231183, 0.21516640547172278] |
1,803.01934 | The morphospace of language networks | Language can be described as a network of interacting objects with different
qualitative properties and complexity. These networks include semantic,
syntactic, or phonological levels and have been found to provide a new picture
of language complexity and its evolution. A general approach considers language
from an information theory perspective that incorporates a speaker, a hearer,
and a noisy channel. The later is often encoded in a matrix connecting the
signals used for communication with meanings to be found in the real world.
Most studies of language evolution deal in a way or another with such
theoretical contraption and explore the outcome of diverse forms of selection
on the communication matrix that somewhat optimizes communication. This
framework naturally introduces networks mediating the communicating agents, but
no systematic analysis of the underlying landscape of possible language graphs
has been developed. Here we present a detailed analysis of network properties
on a generic model of a communication code, which reveals a rather complex and
heterogeneous morphospace of language networks. Additionally, we use curated
data of English words to locate and evaluate real languages within this
language morphospace. Our findings indicate a surprisingly simple structure in
human language unless particles are introduced in the vocabulary, with the
ability of naming any other concept. These results refine and for the first
time complement with empirical data a lasting theoretical tradition around the
framework of \emph{least effort language}.
| physics.soc-ph cs.CL | language can be described as a network of interacting objects with different qualitative properties and complexity these networks include semantic syntactic or phonological levels and have been found to provide a new picture of language complexity and its evolution a general approach considers language from an information theory perspective that incorporates a speaker a hearer and a noisy channel the later is often encoded in a matrix connecting the signals used for communication with meanings to be found in the real world most studies of language evolution deal in a way or another with such theoretical contraption and explore the outcome of diverse forms of selection on the communication matrix that somewhat optimizes communication this framework naturally introduces networks mediating the communicating agents but no systematic analysis of the underlying landscape of possible language graphs has been developed here we present a detailed analysis of network properties on a generic model of a communication code which reveals a rather complex and heterogeneous morphospace of language networks additionally we use curated data of english words to locate and evaluate real languages within this language morphospace our findings indicate a surprisingly simple structure in human language unless particles are introduced in the vocabulary with the ability of naming any other concept these results refine and for the first time complement with empirical data a lasting theoretical tradition around the framework of emphleast effort language | [['language', 'can', 'be', 'described', 'as', 'a', 'network', 'of', 'interacting', 'objects', 'with', 'different', 'qualitative', 'properties', 'and', 'complexity', 'these', 'networks', 'include', 'semantic', 'syntactic', 'or', 'phonological', 'levels', 'and', 'have', 'been', 'found', 'to', 'provide', 'a', 'new', 'picture', 'of', 'language', 'complexity', 'and', 'its', 'evolution', 'a', 'general', 'approach', 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1,803.01935 | Magnetospheric Multi-Scale Observations of High-Energy Electrons and
Protons in the Vicinity of Southern High-Altitude Cusp Boundaries | Recent Magnetosphere Multiscale (MMS) observations found 238 high energy (>
40 keV) electron "leaking" events in the the magnetosheath [Cohen et al.,
2017]. While several sources have been proposed, the dominant mechanism or
origin of these particles is not well understood. We have analyzed MMS
locations during these these events and found that most of these electron
leaking events were observed close to the southern high-altitude cusp and
associated boundaries, so these events may have a high-latitude source. Here we
present a new case study of observations of a MMS encounter of southern
magnetospheric cusp boundaries. In the magnetosheath side of the southern cusp,
MMS observes both parallel streaming energetic ions, as well as a population
with 90 degree pitch angles. Subsequently, MMS detects plasma flows and
magnetic field rotation consistent with magnetic reconnection (operating above
and dawn-ward of the MMS spacecraft), finally entering a depressed magnetic
field region with nearly stagnant flow. The depressed field region is occupied
by high-fluxes of trapped high-energy electrons and protons, which resemble the
Cluster observations of cusp diamagnetic cavities at the northern hemisphere
[Nykyri et al., 2011a]. However, the local magnetic field geometry during the
prevailing IMF orientation is not favorable for magnetic reconnection to
directly create a cavity in this location. We show that the plasma flows that
were observed prior to cavity observation satisfy the onset condition for the
Kelvin-Helmholtz instability for 50 percent of all available k-vector
directions.
| physics.space-ph | recent magnetosphere multiscale mms observations found 238 high energy 40 kev electron leaking events in the the magnetosheath cohen et al 2017 while several sources have been proposed the dominant mechanism or origin of these particles is not well understood we have analyzed mms locations during these these events and found that most of these electron leaking events were observed close to the southern highaltitude cusp and associated boundaries so these events may have a highlatitude source here we present a new case study of observations of a mms encounter of southern magnetospheric cusp boundaries in the magnetosheath side of the southern cusp mms observes both parallel streaming energetic ions as well as a population with 90 degree pitch angles subsequently mms detects plasma flows and magnetic field rotation consistent with magnetic reconnection operating above and dawnward of the mms spacecraft finally entering a depressed magnetic field region with nearly stagnant flow the depressed field region is occupied by highfluxes of trapped highenergy electrons and protons which resemble the cluster observations of cusp diamagnetic cavities at the northern hemisphere nykyri et al 2011a however the local magnetic field geometry during the prevailing imf orientation is not favorable for magnetic reconnection to directly create a cavity in this location we show that the plasma flows that were observed prior to cavity observation satisfy the onset condition for the kelvinhelmholtz instability for 50 percent of all available kvector directions | [['recent', 'magnetosphere', 'multiscale', 'mms', 'observations', 'found', '238', 'high', 'energy', '40', 'kev', 'electron', 'leaking', 'events', 'in', 'the', 'the', 'magnetosheath', 'cohen', 'et', 'al', '2017', 'while', 'several', 'sources', 'have', 'been', 'proposed', 'the', 'dominant', 'mechanism', 'or', 'origin', 'of', 'these', 'particles', 'is', 'not', 'well', 'understood', 'we', 'have', 'analyzed', 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0.06465409646799757, 0.007556697424863362] |
1,803.01936 | Variations of Hodge Structures of Rank Three k-Higgs Bundles and Moduli
Spaces of Holomorphic Triples | There is an isomorphism between the moduli spaces of $\sigma$-stable
holomorphic triples and some of the critical submanifolds of the moduli space
of $k$-Higgs bundles of rank three, whose elements $(E,\varphi^k)$ correspond
to variations of Hodge structure, VHS. There are special embeddings on the
moduli spaces of $k$-Higgs bundles of rank three. The main objective here is to
study the cohomology of the critical submanifolds of such moduli spaces,
extending those embeddings to moduli spaces of holomorphic triples.
| math.AG | there is an isomorphism between the moduli spaces of sigmastable holomorphic triples and some of the critical submanifolds of the moduli space of khiggs bundles of rank three whose elements evarphik correspond to variations of hodge structure vhs there are special embeddings on the moduli spaces of khiggs bundles of rank three the main objective here is to study the cohomology of the critical submanifolds of such moduli spaces extending those embeddings to moduli spaces of holomorphic triples | [['there', 'is', 'an', 'isomorphism', 'between', 'the', 'moduli', 'spaces', 'of', 'sigmastable', 'holomorphic', 'triples', 'and', 'some', 'of', 'the', 'critical', 'submanifolds', 'of', 'the', 'moduli', 'space', 'of', 'khiggs', 'bundles', 'of', 'rank', 'three', 'whose', 'elements', 'evarphik', 'correspond', 'to', 'variations', 'of', 'hodge', 'structure', 'vhs', 'there', 'are', 'special', 'embeddings', 'on', 'the', 'moduli', 'spaces', 'of', 'khiggs', 'bundles', 'of', 'rank', 'three', 'the', 'main', 'objective', 'here', 'is', 'to', 'study', 'the', 'cohomology', 'of', 'the', 'critical', 'submanifolds', 'of', 'such', 'moduli', 'spaces', 'extending', 'those', 'embeddings', 'to', 'moduli', 'spaces', 'of', 'holomorphic', 'triples']] | [-0.23427378121376424, 0.07544666450102541, -0.058601843241553805, 0.12906076218751442, -0.08751716511928803, -0.036195867973101606, -0.028493018595610636, 0.35974968040918376, -0.33949352171900987, -0.2054466875028107, 0.12051693359752755, -0.2687984602072264, -0.18346934780091434, 0.18084889456823275, -0.1736668897429844, 0.02266943117289187, 0.012121007511658328, 0.06674522580805706, -0.14330411995095865, -0.34478591674902515, 0.6194995908768146, -0.07720482389309577, 0.2109313271153573, 0.04270617856172385, 0.09921021949856651, -0.015625154076434382, -0.00952937530184334, -0.06207893332715945, -0.14080382583590298, 0.25039525862855766, 0.3427940845102459, 0.034109662444173516, 0.17441353306186375, -0.31696133362734086, -0.13212202454300284, 0.2975981167832075, 0.08744510638757379, -0.08063862390525929, 0.10027470677189965, -0.25439008443870326, 0.05544246943643341, -0.04297006335835178, -0.11998789247077007, -0.14684124350813882, 0.06888604420841998, 0.05982883815508481, -0.15117409026821738, -0.06884889245371927, 0.052242124622518364, 0.12952423044298958, -0.19272178311699203, -0.13234580235628338, -0.15486085489876084, 0.08356140901685341, 0.06220187142176868, 0.07758011088658173, 0.09659210391729683, -0.10587180419159788, -0.12283882533816935, 0.39082119468744697, -0.016724928935336603, -0.22621640896835885, 0.11354384687426802, -0.11878992650996555, -0.17953945625597587, 0.14963672592685642, 0.10198391727232314, 0.1979237001808058, 0.05192380287161387, 0.1681861341620989, -0.07676920784613142, 0.06938372442329471, 0.11227551611237131, 0.03154900683356183, 0.1408868194497251, 0.15356630882756275, 0.06406312748523695, 0.09368123126204138, -0.021095335135816948, -0.07864966776596939, -0.39741410772231495, -0.23477782941628972, -0.06986858991470624, 0.13288008624252368, -0.20291663311983538, -0.24729604584273773, 0.4092197922759919, 0.02620335714286798, 0.26033186695429605, 0.1114731335818961, 0.17140225308959361, -0.06634608281219935, 0.07515101229118837, 0.01918278704699758, 0.22636510791784673, 0.2619423564983072, -0.0314594717188315, -0.05886758343231949, -0.08631696806640013, 0.23759448326301652] |
1,803.01937 | ROUGE 2.0: Updated and Improved Measures for Evaluation of Summarization
Tasks | Evaluation of summarization tasks is extremely crucial to determining the
quality of machine generated summaries. Over the last decade, ROUGE has become
the standard automatic evaluation measure for evaluating summarization tasks.
While ROUGE has been shown to be effective in capturing n-gram overlap between
system and human composed summaries, there are several limitations with the
existing ROUGE measures in terms of capturing synonymous concepts and coverage
of topics. Thus, often times ROUGE scores do not reflect the true quality of
summaries and prevents multi-faceted evaluation of summaries (i.e. by topics,
by overall content coverage and etc). In this paper, we introduce ROUGE 2.0,
which has several updated measures of ROUGE: ROUGE-N+Synonyms, ROUGE-Topic,
ROUGE-Topic+Synonyms, ROUGE-TopicUniq and ROUGE-TopicUniq+Synonyms; all of
which are improvements over the core ROUGE measures.
| cs.IR cs.AI cs.CL | evaluation of summarization tasks is extremely crucial to determining the quality of machine generated summaries over the last decade rouge has become the standard automatic evaluation measure for evaluating summarization tasks while rouge has been shown to be effective in capturing ngram overlap between system and human composed summaries there are several limitations with the existing rouge measures in terms of capturing synonymous concepts and coverage of topics thus often times rouge scores do not reflect the true quality of summaries and prevents multifaceted evaluation of summaries ie by topics by overall content coverage and etc in this paper we introduce rouge 20 which has several updated measures of rouge rougensynonyms rougetopic rougetopicsynonyms rougetopicuniq and rougetopicuniqsynonyms all of which are improvements over the core rouge measures | [['evaluation', 'of', 'summarization', 'tasks', 'is', 'extremely', 'crucial', 'to', 'determining', 'the', 'quality', 'of', 'machine', 'generated', 'summaries', 'over', 'the', 'last', 'decade', 'rouge', 'has', 'become', 'the', 'standard', 'automatic', 'evaluation', 'measure', 'for', 'evaluating', 'summarization', 'tasks', 'while', 'rouge', 'has', 'been', 'shown', 'to', 'be', 'effective', 'in', 'capturing', 'ngram', 'overlap', 'between', 'system', 'and', 'human', 'composed', 'summaries', 'there', 'are', 'several', 'limitations', 'with', 'the', 'existing', 'rouge', 'measures', 'in', 'terms', 'of', 'capturing', 'synonymous', 'concepts', 'and', 'coverage', 'of', 'topics', 'thus', 'often', 'times', 'rouge', 'scores', 'do', 'not', 'reflect', 'the', 'true', 'quality', 'of', 'summaries', 'and', 'prevents', 'multifaceted', 'evaluation', 'of', 'summaries', 'ie', 'by', 'topics', 'by', 'overall', 'content', 'coverage', 'and', 'etc', 'in', 'this', 'paper', 'we', 'introduce', 'rouge', '20', 'which', 'has', 'several', 'updated', 'measures', 'of', 'rouge', 'rougensynonyms', 'rougetopic', 'rougetopicsynonyms', 'rougetopicuniq', 'and', 'rougetopicuniqsynonyms', 'all', 'of', 'which', 'are', 'improvements', 'over', 'the', 'core', 'rouge', 'measures']] | [-0.06601141811606344, 0.046129583119422446, -0.05240991621947855, 0.12213473189391258, -0.06392275609753349, -0.08717917879535393, 0.03366595833881735, 0.46383602880249336, -0.1783691122050374, -0.3716263824935294, 0.07334608261469629, -0.3462896905685506, -0.10376842194506206, 0.2156161587802724, -0.15142837969089804, 0.06680642558100118, 0.14396769465988166, 0.08552691439736235, -0.11271784836349409, -0.3389794534545638, 0.27389215712997417, 0.06319811795491817, 0.3839707906427216, 0.10013088942620872, 0.09954035753953802, -0.04215986318770827, -0.15131075942719524, 0.040507987626512684, -0.08487514314945972, 0.20889818710698324, 0.35122913194527805, 0.27926246763961315, 0.36887856221888676, -0.30534406782181794, -0.2259402632759499, 0.0922027689670328, 0.1369997025544424, 0.018210076721200397, 0.006579194212147642, -0.3342111585276925, 0.09379347446105205, -0.20026859754796547, 0.06299397668585735, -0.17778189716983803, 0.04224546332574211, 0.040842635195783135, -0.21221333887660876, 0.04561309787239841, 0.07835752338417305, 0.13087879502299157, -0.009174085961085213, -0.15998494195509394, 0.020413124301732512, 0.21780899019665584, 0.1237177250556617, 0.0844366762956435, 0.11482677173854644, -0.18024030577368294, -0.17901956207938646, 0.4052231244065545, -0.06544250981643611, -0.23581624463631595, 0.20609490198568126, -0.060360235568089796, -0.11490555032067894, 0.11715319099709053, 0.17567751167942425, 0.07474117358176668, -0.2012933844484943, -0.01159746000545161, 0.0030218199480417348, 0.19883734264895936, 0.11491277532301812, 0.05537944599555051, 0.22903688757657265, 0.21290607888959656, 0.0008140103910734092, 0.05988259214142045, -0.053955198827484424, -0.09831883273210593, -0.18169622516552034, -0.11736141389797726, -0.1501103729819725, -0.03751543277962622, -0.06705594066978328, -0.21107965652048702, 0.43595534733935326, 0.23019998578339324, 0.12658388762203746, 0.07850542034923046, 0.30626937048124875, 0.027670560674049147, 0.1105891685280564, 0.05777001263927822, 0.16159283428660726, -0.03555835311277962, 0.10647697412709067, -0.10859729430815282, 0.16344833030742556, 0.07240680283443494] |
1,803.01938 | Coherent Plasma-Curvature Radiation in FRB | Curvature radiation is a natural candidate for the emission mechanism of FRB.
However, FRB spectra have structure with $\Delta \nu/\nu \sim
\text{0.03--0.2}$, inconsistent with the very smooth spectrum of curvature
radiation. Although this spectral structure might be attributed to chromatic
scintillation or lensing, in four FRB high spectral resolution data indicate
scintillation decorrelation bandwidths much narrower than the observed $\sim
\text{30--300}$ MHz spectral structure. Some of the observed structure may be
intrinsic to the radiation mechanism. I suggest that the observed spectral
structure reflects the spatial structure of a clumpy radiating charge
distribution, and that the characteristic curvature radiation frequency may be
much higher than the observed frequencies. In this coupled plasma-curvature
radiation process the radiated spectra are the product of the spectra of the
plasma wave and that of incoherent curvature radiation. The argument applies to
all coherent radiation processes, including those that produce pulsar
nanoshots. The implied FRB "clump" charges are large, and produce electrostatic
potentials that suggest electron Lorentz factors $\gtrsim 10^2$. The result
applies generally to coherently radiating sources.
| astro-ph.HE | curvature radiation is a natural candidate for the emission mechanism of frb however frb spectra have structure with delta nunu sim text00302 inconsistent with the very smooth spectrum of curvature radiation although this spectral structure might be attributed to chromatic scintillation or lensing in four frb high spectral resolution data indicate scintillation decorrelation bandwidths much narrower than the observed sim text30300 mhz spectral structure some of the observed structure may be intrinsic to the radiation mechanism i suggest that the observed spectral structure reflects the spatial structure of a clumpy radiating charge distribution and that the characteristic curvature radiation frequency may be much higher than the observed frequencies in this coupled plasmacurvature radiation process the radiated spectra are the product of the spectra of the plasma wave and that of incoherent curvature radiation the argument applies to all coherent radiation processes including those that produce pulsar nanoshots the implied frb clump charges are large and produce electrostatic potentials that suggest electron lorentz factors gtrsim 102 the result applies generally to coherently radiating sources | [['curvature', 'radiation', 'is', 'a', 'natural', 'candidate', 'for', 'the', 'emission', 'mechanism', 'of', 'frb', 'however', 'frb', 'spectra', 'have', 'structure', 'with', 'delta', 'nunu', 'sim', 'text00302', 'inconsistent', 'with', 'the', 'very', 'smooth', 'spectrum', 'of', 'curvature', 'radiation', 'although', 'this', 'spectral', 'structure', 'might', 'be', 'attributed', 'to', 'chromatic', 'scintillation', 'or', 'lensing', 'in', 'four', 'frb', 'high', 'spectral', 'resolution', 'data', 'indicate', 'scintillation', 'decorrelation', 'bandwidths', 'much', 'narrower', 'than', 'the', 'observed', 'sim', 'text30300', 'mhz', 'spectral', 'structure', 'some', 'of', 'the', 'observed', 'structure', 'may', 'be', 'intrinsic', 'to', 'the', 'radiation', 'mechanism', 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1,803.01939 | A facility for radiation hardness studies based on the Bern medical
cyclotron | The development of instrumentation to be operated in high-radiation
environments is one of the main challenges in fundamental research. Besides
space and nuclear applications, particle physics experiments also need
radiation-hard devices. The focus of this paper is a new irradiation facility
based on the medical cyclotron located at the Bern University Hospital
(Insespital), which is used as a controlled 18 MeV proton source. The
adjustable beam current allows for dose rate dependent characterisation over a
large dynamic range, from 0.1 to 1000 Grad per hour. The beam can be tuned so
that the user can obtain the desired irradiation conditions. A complete study
of the device under irradiation is possible thanks to dedicated beam monitoring
systems as well as a power control system for the device under irradiation,
which can be operated on-line. Further characterisations of the irradiated
devices are possible thanks to a laboratory equipped with gamma spectroscopy
detectors, ammeters and transient current technique setups.
| physics.ins-det hep-ex | the development of instrumentation to be operated in highradiation environments is one of the main challenges in fundamental research besides space and nuclear applications particle physics experiments also need radiationhard devices the focus of this paper is a new irradiation facility based on the medical cyclotron located at the bern university hospital insespital which is used as a controlled 18 mev proton source the adjustable beam current allows for dose rate dependent characterisation over a large dynamic range from 01 to 1000 grad per hour the beam can be tuned so that the user can obtain the desired irradiation conditions a complete study of the device under irradiation is possible thanks to dedicated beam monitoring systems as well as a power control system for the device under irradiation which can be operated online further characterisations of the irradiated devices are possible thanks to a laboratory equipped with gamma spectroscopy detectors ammeters and transient current technique setups | [['the', 'development', 'of', 'instrumentation', 'to', 'be', 'operated', 'in', 'highradiation', 'environments', 'is', 'one', 'of', 'the', 'main', 'challenges', 'in', 'fundamental', 'research', 'besides', 'space', 'and', 'nuclear', 'applications', 'particle', 'physics', 'experiments', 'also', 'need', 'radiationhard', 'devices', 'the', 'focus', 'of', 'this', 'paper', 'is', 'a', 'new', 'irradiation', 'facility', 'based', 'on', 'the', 'medical', 'cyclotron', 'located', 'at', 'the', 'bern', 'university', 'hospital', 'insespital', 'which', 'is', 'used', 'as', 'a', 'controlled', '18', 'mev', 'proton', 'source', 'the', 'adjustable', 'beam', 'current', 'allows', 'for', 'dose', 'rate', 'dependent', 'characterisation', 'over', 'a', 'large', 'dynamic', 'range', 'from', '01', 'to', '1000', 'grad', 'per', 'hour', 'the', 'beam', 'can', 'be', 'tuned', 'so', 'that', 'the', 'user', 'can', 'obtain', 'the', 'desired', 'irradiation', 'conditions', 'a', 'complete', 'study', 'of', 'the', 'device', 'under', 'irradiation', 'is', 'possible', 'thanks', 'to', 'dedicated', 'beam', 'monitoring', 'systems', 'as', 'well', 'as', 'a', 'power', 'control', 'system', 'for', 'the', 'device', 'under', 'irradiation', 'which', 'can', 'be', 'operated', 'online', 'further', 'characterisations', 'of', 'the', 'irradiated', 'devices', 'are', 'possible', 'thanks', 'to', 'a', 'laboratory', 'equipped', 'with', 'gamma', 'spectroscopy', 'detectors', 'ammeters', 'and', 'transient', 'current', 'technique', 'setups']] | [-0.07325806208227023, 0.158406208015301, -0.06665916557502388, 0.013207717379857483, -0.06936549022888262, -0.18416643287954768, 0.03988790841147231, 0.3947985410787068, -0.2325128245639143, -0.359864771331346, 0.13100736906491944, -0.2649274734923255, -0.02674299202157886, 0.30205074251801767, -0.07005708007891844, 0.08416556086173499, 0.08118697917489516, 0.013798298028467054, -0.04615519157619905, -0.19735762106206317, 0.2517730772053799, 0.15449605134010388, 0.3061561713406405, 0.08604028309595638, 0.10557935210761263, 0.004950084046112198, 0.02594676074366291, -0.02082983347267523, -0.082773314960773, 0.06704341599569572, 0.3072560798473559, 0.10987708998795648, 0.27086527617769196, -0.4314269075334955, -0.2044612615332975, 0.05227453492479036, 0.08965947767439927, 0.03635018563212512, -0.08063616456430671, -0.2533412342165391, 0.056900649724600766, -0.18865814041830115, -0.14364984257062807, -0.018070219142072193, -0.034165466955693606, 0.0678566726810577, -0.2978060771529744, -0.04266841601986323, -0.026258076083779867, 0.07429836216298016, -0.06246113538112364, -0.10025311881516057, 0.043986752845479975, 0.125486532761035, -0.010628997825249401, 0.06663505622267409, 0.22789533330768638, -0.11593733890081889, -0.09675074745175223, 0.38966392501795594, -0.01925059247235828, -0.11846798549817464, 0.18307773420487397, -0.16787002971637752, -0.10425565316789336, 0.14870474101104714, 0.20926073056629815, 0.13838627103673803, -0.2234093853659541, 0.04311141833986531, 0.02286633602403975, 0.19019362505815632, 0.1002003991229508, 0.032960563922276746, 0.2269526372312919, 0.25121454581279645, 0.09358057778860841, 0.14012639306473557, -0.13657124422780878, 0.021017553087462996, -0.29586231429734594, -0.1288766898940523, -0.1425471816774361, 0.06067975964880996, 0.015943481514491927, -0.07689528169666791, 0.39757252591904013, 0.15188749170825852, 0.09319099349683369, -0.05403518102920989, 0.30513387233436157, 0.08357996463415805, 0.11739801066359143, 0.00897251848470081, 0.2114409842322786, 0.09066880076106709, 0.16790888656169636, -0.20662136128408132, 0.06418611430079228, -0.0547804350589777] |
1,803.0194 | Tactile Regrasp: Grasp Adjustments via Simulated Tactile Transformations | This paper presents a novel regrasp control policy that makes use of tactile
sensing to plan local grasp adjustments. Our approach determines regrasp
actions by virtually searching for local transformations of tactile
measurements that improve the quality of the grasp. First, we construct a
tactile-based grasp quality metric using a deep convolutional neural network
trained on over 2800 grasps. The quality of each grasp, a continuous value
between 0 and 1, is determined experimentally by measuring its resistance to
external perturbations. Second, we simulate the tactile imprints associated
with robot motions relative to the initial grasp by performing rigid-body
transformations of the given tactile measurements. The newly generated tactile
imprints are evaluated with the learned grasp quality network and the regrasp
action is chosen to maximize the grasp quality.
Results show that the grasp quality network can predict the outcome of grasps
with an average accuracy of 85% on known objects and 75% on a cross validation
set of 12 objects. The regrasp control policy improves the success rate of
grasp actions by an average relative increase of 70% on a test set of 8
objects.
| cs.RO cs.SY | this paper presents a novel regrasp control policy that makes use of tactile sensing to plan local grasp adjustments our approach determines regrasp actions by virtually searching for local transformations of tactile measurements that improve the quality of the grasp first we construct a tactilebased grasp quality metric using a deep convolutional neural network trained on over 2800 grasps the quality of each grasp a continuous value between 0 and 1 is determined experimentally by measuring its resistance to external perturbations second we simulate the tactile imprints associated with robot motions relative to the initial grasp by performing rigidbody transformations of the given tactile measurements the newly generated tactile imprints are evaluated with the learned grasp quality network and the regrasp action is chosen to maximize the grasp quality results show that the grasp quality network can predict the outcome of grasps with an average accuracy of 85 on known objects and 75 on a cross validation set of 12 objects the regrasp control policy improves the success rate of grasp actions by an average relative increase of 70 on a test set of 8 objects | [['this', 'paper', 'presents', 'a', 'novel', 'regrasp', 'control', 'policy', 'that', 'makes', 'use', 'of', 'tactile', 'sensing', 'to', 'plan', 'local', 'grasp', 'adjustments', 'our', 'approach', 'determines', 'regrasp', 'actions', 'by', 'virtually', 'searching', 'for', 'local', 'transformations', 'of', 'tactile', 'measurements', 'that', 'improve', 'the', 'quality', 'of', 'the', 'grasp', 'first', 'we', 'construct', 'a', 'tactilebased', 'grasp', 'quality', 'metric', 'using', 'a', 'deep', 'convolutional', 'neural', 'network', 'trained', 'on', 'over', '2800', 'grasps', 'the', 'quality', 'of', 'each', 'grasp', 'a', 'continuous', 'value', 'between', '0', 'and', '1', 'is', 'determined', 'experimentally', 'by', 'measuring', 'its', 'resistance', 'to', 'external', 'perturbations', 'second', 'we', 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1,803.01941 | Density matrix approach for quantum free-electron lasers | The density matrix in the Lindblad form is used to describe the behavior of
the Free-Electron Laser (FEL) operating in a quantum regime. The detrimental
effects of the spontaneous emission on coherent FEL operation are taken into
account. It is shown that the density matrix formalism provides a simple method
to describe the dynamics of electrons and radiation field in the quantum FEL
process. In this work, further insights on the key dynamic parameters (e.g.,
electron populations, bunching factor, radiation power) are presented. We also
derive a simple differential equation that describes the evolution of the
radiated power in the linear regime. It is confirmed that the essential results
of this work agree with those predicted by a discrete Wigner approach at
practical conditions for efficient operation of quantum FELs.
| physics.acc-ph | the density matrix in the lindblad form is used to describe the behavior of the freeelectron laser fel operating in a quantum regime the detrimental effects of the spontaneous emission on coherent fel operation are taken into account it is shown that the density matrix formalism provides a simple method to describe the dynamics of electrons and radiation field in the quantum fel process in this work further insights on the key dynamic parameters eg electron populations bunching factor radiation power are presented we also derive a simple differential equation that describes the evolution of the radiated power in the linear regime it is confirmed that the essential results of this work agree with those predicted by a discrete wigner approach at practical conditions for efficient operation of quantum fels | [['the', 'density', 'matrix', 'in', 'the', 'lindblad', 'form', 'is', 'used', 'to', 'describe', 'the', 'behavior', 'of', 'the', 'freeelectron', 'laser', 'fel', 'operating', 'in', 'a', 'quantum', 'regime', 'the', 'detrimental', 'effects', 'of', 'the', 'spontaneous', 'emission', 'on', 'coherent', 'fel', 'operation', 'are', 'taken', 'into', 'account', 'it', 'is', 'shown', 'that', 'the', 'density', 'matrix', 'formalism', 'provides', 'a', 'simple', 'method', 'to', 'describe', 'the', 'dynamics', 'of', 'electrons', 'and', 'radiation', 'field', 'in', 'the', 'quantum', 'fel', 'process', 'in', 'this', 'work', 'further', 'insights', 'on', 'the', 'key', 'dynamic', 'parameters', 'eg', 'electron', 'populations', 'bunching', 'factor', 'radiation', 'power', 'are', 'presented', 'we', 'also', 'derive', 'a', 'simple', 'differential', 'equation', 'that', 'describes', 'the', 'evolution', 'of', 'the', 'radiated', 'power', 'in', 'the', 'linear', 'regime', 'it', 'is', 'confirmed', 'that', 'the', 'essential', 'results', 'of', 'this', 'work', 'agree', 'with', 'those', 'predicted', 'by', 'a', 'discrete', 'wigner', 'approach', 'at', 'practical', 'conditions', 'for', 'efficient', 'operation', 'of', 'quantum', 'fels']] | [-0.09913708666751447, 0.14662857490161862, -0.12951038354076444, 0.08100912214505605, -0.013230047390187303, -0.13084519750868473, -0.00031260516172131666, 0.3844736689558396, -0.23450281480013824, -0.2507990088242178, 0.034944619798065665, -0.23970155641436577, -0.13625444652011187, 0.2633304943205216, -0.01868912041402207, 0.07229554650302117, 0.035025003830042596, -0.005133426841348409, -0.013149472111119673, -0.1822269113232883, 0.3001943907019897, 0.11926695217396348, 0.3138643249582786, 0.053443537122355056, 0.11404144760722724, 0.015364223525214655, -0.004846241468420396, -0.02742454822963247, -0.12320467274039401, 0.07138534361281647, 0.2582161933613511, 0.07628652849951043, 0.2715223327243271, -0.46176585745639526, -0.2443210458862058, 0.014185651995313282, 0.09898127264649911, 0.12305898513788215, -0.06919352951853608, -0.22925070737703487, 0.012850846257060766, -0.19023602768922082, -0.16459711190814583, -0.06216680030338466, -0.02029208097015866, 0.01650775583425107, -0.27634762181685524, 0.046167313785498175, 0.08719141143642796, -0.016204595354457313, -0.03355285045690835, -0.05523584014019714, 0.028977084122239972, 0.09063283256613291, -0.005851493385629371, -0.010170937433409003, 0.17126817790379462, -0.13140809553532073, -0.09567025810157737, 0.3918480079549436, -0.048041497289131464, -0.13887218623780287, 0.12143102853487317, -0.196680480242671, -0.08703571096456682, 0.1724372945439357, 0.15678907266029946, 0.09260477205702605, -0.16519436329119624, 0.08211347366864524, -0.006153271291763163, 0.15285795992240309, 0.04437529856267457, 0.06606990534525652, 0.1815264699407495, 0.1685259951851689, 0.01471622372762515, 0.14370984563138336, -0.05997915890587207, -0.1026566177749863, -0.30422339817652333, -0.10806188240556086, -0.19388505330739114, 0.07673305078015591, -0.042925099322746976, -0.11893401658229637, 0.43999989099191644, 0.15521686917144017, 0.13059362407433442, 0.0005309051905687039, 0.3313718049178043, 0.210478129144758, 0.03380337056632225, 0.05330048934556544, 0.25434682609943243, 0.16768881337752994, 0.09018931755652794, -0.2982287101626683, 0.025708710508815083, 0.019298117994689026] |
1,803.01942 | Characterizations of canonically compactifiable graphs via intrinsic
metrics and algebraic properties | We consider infinite graphs and the associated energy forms. We show that a
graph is canonically compactifiable (i.e. all functions of finite energy are
bounded) if and only if the underlying set is totally bounded with respect to
any finite measure intrinsic metric. Furthermore, we show that a graph is
canonically compactifiable if and only if the space of functions of finite
energy is an algebra. These results answer questions in a recent work of
Georgakopoulos, Haeseler, Keller, Lenz, Wojciechowski.
| math.MG | we consider infinite graphs and the associated energy forms we show that a graph is canonically compactifiable ie all functions of finite energy are bounded if and only if the underlying set is totally bounded with respect to any finite measure intrinsic metric furthermore we show that a graph is canonically compactifiable if and only if the space of functions of finite energy is an algebra these results answer questions in a recent work of georgakopoulos haeseler keller lenz wojciechowski | [['we', 'consider', 'infinite', 'graphs', 'and', 'the', 'associated', 'energy', 'forms', 'we', 'show', 'that', 'a', 'graph', 'is', 'canonically', 'compactifiable', 'ie', 'all', 'functions', 'of', 'finite', 'energy', 'are', 'bounded', 'if', 'and', 'only', 'if', 'the', 'underlying', 'set', 'is', 'totally', 'bounded', 'with', 'respect', 'to', 'any', 'finite', 'measure', 'intrinsic', 'metric', 'furthermore', 'we', 'show', 'that', 'a', 'graph', 'is', 'canonically', 'compactifiable', 'if', 'and', 'only', 'if', 'the', 'space', 'of', 'functions', 'of', 'finite', 'energy', 'is', 'an', 'algebra', 'these', 'results', 'answer', 'questions', 'in', 'a', 'recent', 'work', 'of', 'georgakopoulos', 'haeseler', 'keller', 'lenz', 'wojciechowski']] | [-0.13863506549969315, 0.15732107370149606, -0.07136685605510137, 0.0645258076430764, -0.12497595422319137, -0.11430168507504276, -0.024800780124496668, 0.38147942079231145, -0.31912414580001497, -0.21767191474573339, 0.09448058348352788, -0.3133026002324186, -0.16352808750234543, 0.16850616332376375, -0.12752896778838477, -0.01897980144713074, 0.08755868783919141, 0.11017865005414933, -0.05972406695364043, -0.2778105949466408, 0.42310716254869474, -0.03760000466136262, 0.19483271022327245, 0.14323968550306745, 0.16610014967154713, -0.011999986591399647, -0.009546105319168418, 0.09675785521358193, -0.15310910922216864, 0.09426240036264062, 0.24350205833325161, 0.12673921441455605, 0.2618844613432884, -0.34502880154177545, -0.17459761794889345, 0.23696472914889455, 0.08223004306200891, 0.035782053691218604, -0.006197872699704021, -0.22227056291885675, 0.18383621287357527, -0.14254887785064058, -0.09841824866598473, -0.06152227642596699, 0.06599304793635383, 0.04291053868255403, -0.23860531256068498, 0.0032608610461466016, 0.12398441050900147, 0.03467623995384202, -0.09883636044396553, -0.053300537535687906, -0.09243748385633807, 0.045942975714569914, -0.03660044886447622, 0.08901145230629481, 0.0368302995339036, -0.05551476522814482, -0.13603149902191944, 0.3379200137453154, -0.05244724705116823, -0.28430521086556837, 0.1210004070890136, -0.18659543140674942, -0.1406231775006745, 0.0693766639335081, 0.08752155395923182, 0.14635814423672855, -0.08263536914018914, 0.22775012659622007, -0.12955789621919395, 0.14853232576861047, 0.07351166438893415, 0.007004068221431225, 0.10792552649509161, 0.07094642063602805, 0.1275606530136429, 0.14350975828419904, 0.049434592975740085, -0.02916101569426246, -0.32559280870482327, -0.1508465609396808, -0.20898401704762365, 0.10619371393695473, -0.10180241953366931, -0.20978110565338284, 0.3722423204628285, 0.07850385600468143, 0.21010203443001957, 0.10581089057668577, 0.23696833176072687, 0.12498875189212413, 0.022937736609310377, 0.1521464707213454, 0.12674419414252042, 0.17306902853306383, -0.035647111432626846, -0.14679257198004053, 0.011336975051381159, 0.10815728637498978] |
1,803.01943 | KIC 8462852: Maria Mitchell Observatory Photographic Photometry 1922 to
1991 | A new study of the long-term photometric behavior of the the unusual star KIC
8462852 (Boyajian's Star) has been carried out using archival photographic
plates from 1922-1991 taken at the Maria Mitchell Observatory (MMO). We find
five episodes of sudden, several day, decreases in magnitude occurring in 1935,
1966, 1978, and two in 1980. Episodes of sudden increase in magnitude appear to
occur in 1967 and 1977. Inspection of archival light curves of KIC 8462852 from
two previous studies based on the Harvard and the Sonneberg plate collections
finds apparent corresponding events to these observed episodes in the MMO light
curve. Also, a general trend of $0.12\pm0.02$ magnitudes per century decrease
is observed in the MMO light curve, significant, but less than the trend of
0.164$\pm$0.013 observed in the Harvard light curve.
| astro-ph.SR | a new study of the longterm photometric behavior of the the unusual star kic 8462852 boyajians star has been carried out using archival photographic plates from 19221991 taken at the maria mitchell observatory mmo we find five episodes of sudden several day decreases in magnitude occurring in 1935 1966 1978 and two in 1980 episodes of sudden increase in magnitude appear to occur in 1967 and 1977 inspection of archival light curves of kic 8462852 from two previous studies based on the harvard and the sonneberg plate collections finds apparent corresponding events to these observed episodes in the mmo light curve also a general trend of 012pm002 magnitudes per century decrease is observed in the mmo light curve significant but less than the trend of 0164pm0013 observed in the harvard light curve | [['a', 'new', 'study', 'of', 'the', 'longterm', 'photometric', 'behavior', 'of', 'the', 'the', 'unusual', 'star', 'kic', '8462852', 'boyajians', 'star', 'has', 'been', 'carried', 'out', 'using', 'archival', 'photographic', 'plates', 'from', '19221991', 'taken', 'at', 'the', 'maria', 'mitchell', 'observatory', 'mmo', 'we', 'find', 'five', 'episodes', 'of', 'sudden', 'several', 'day', 'decreases', 'in', 'magnitude', 'occurring', 'in', '1935', '1966', '1978', 'and', 'two', 'in', '1980', 'episodes', 'of', 'sudden', 'increase', 'in', 'magnitude', 'appear', 'to', 'occur', 'in', '1967', 'and', '1977', 'inspection', 'of', 'archival', 'light', 'curves', 'of', 'kic', '8462852', 'from', 'two', 'previous', 'studies', 'based', 'on', 'the', 'harvard', 'and', 'the', 'sonneberg', 'plate', 'collections', 'finds', 'apparent', 'corresponding', 'events', 'to', 'these', 'observed', 'episodes', 'in', 'the', 'mmo', 'light', 'curve', 'also', 'a', 'general', 'trend', 'of', '012pm002', 'magnitudes', 'per', 'century', 'decrease', 'is', 'observed', 'in', 'the', 'mmo', 'light', 'curve', 'significant', 'but', 'less', 'than', 'the', 'trend', 'of', '0164pm0013', 'observed', 'in', 'the', 'harvard', 'light', 'curve']] | [-0.10928531636325137, 0.10935139503102577, -0.15400753094807498, 0.06601509408278088, -0.08288651037340362, -0.09160602855669378, 0.09212958015313791, 0.40042884552548097, -0.18346283925596132, -0.37436598729948667, 0.10414468512830664, -0.39009097170864426, -0.12389671790969464, 0.271854476760572, -0.16591720792732034, -0.012599720088981612, 0.11495361210013083, -0.05069033225435157, -0.06968619553877632, -0.31689368909614724, 0.2063681150050184, -0.006563058139236514, 0.22720973343812217, -0.04944820235331738, 0.04450143314898014, -0.010805124629924232, -0.10419003480265654, -0.046471020621933444, -0.11557311145588756, 0.0071570954697076665, 0.21151918860679392, 0.11520773698503599, 0.21070454783138437, -0.36038136620132266, -0.1982593462135112, 0.0883686943376769, 0.10454012373419003, 0.0007887294755340734, -0.01054612997839906, -0.243168265692341, -0.0036994929916348107, -0.1593477194118061, -0.16762290910191385, 0.10881960812898338, 0.15566867333295387, -1.575890567529109e-05, -0.14809586050154916, 0.12504934331978845, 0.02551650907212594, 0.20740227937669486, -0.10417274268553411, -0.14410678544099798, -0.0510239300079817, 0.07923271346028692, 0.0868401636618601, 0.1134816806658727, 0.04673394408842274, -0.06625365207419377, -0.06807700153882434, 0.3692898753770562, -0.11116545283934552, 0.11966818644008202, 0.17751860135242112, -0.20979143828586783, -0.134317332438316, 0.15135685047640127, 0.16832285415554463, 0.10680158768826555, -0.16150373962252987, -0.058657999570542844, -0.0047110692171971925, 0.16637172209109766, 0.14307467280634384, 0.0010827967717471107, 0.2637010548379301, 0.144206819673206, -0.0749354396058723, 0.10560799125210173, -0.2145916103157973, -0.07345720752712714, -0.20917708548002464, -0.09868770939218559, -0.08843007046312397, 0.052195531211418005, -0.06373953294018446, -0.1077792740340323, 0.3948693131421541, 0.09245563244136672, 0.19969278075660096, -0.05144703689811015, 0.22262482373982437, 0.08186948015679453, 0.09547887570693973, 0.09309022365744378, 0.36521929000006165, 0.10261378504422515, 0.2020783171512533, -0.19783114014706005, 0.08315925848040398, 0.020758531442590693] |
1,803.01944 | The construction and use of LISA sensitivity curves | The Laser Interferometer Space Antenna (LISA) will open the mHz band of the
gravitational wave spectrum for exploration. Sensitivity curves are a useful
tool for surveying the types of sources that can be detected by the LISA
mission. Here we describe how the sensitivity curve is constructed, and how it
can be used to compute the signal-to-noise ratio for a wide range of binary
systems. We adopt the 2018 LISA Phase-0 reference design parameters. We
consider both sky-averaged sensitivities, and the sensitivity to sources at
particular sky locations. The calculations are included in a publicly available
{\em Python} notebook.
| astro-ph.HE gr-qc | the laser interferometer space antenna lisa will open the mhz band of the gravitational wave spectrum for exploration sensitivity curves are a useful tool for surveying the types of sources that can be detected by the lisa mission here we describe how the sensitivity curve is constructed and how it can be used to compute the signaltonoise ratio for a wide range of binary systems we adopt the 2018 lisa phase0 reference design parameters we consider both skyaveraged sensitivities and the sensitivity to sources at particular sky locations the calculations are included in a publicly available em python notebook | [['the', 'laser', 'interferometer', 'space', 'antenna', 'lisa', 'will', 'open', 'the', 'mhz', 'band', 'of', 'the', 'gravitational', 'wave', 'spectrum', 'for', 'exploration', 'sensitivity', 'curves', 'are', 'a', 'useful', 'tool', 'for', 'surveying', 'the', 'types', 'of', 'sources', 'that', 'can', 'be', 'detected', 'by', 'the', 'lisa', 'mission', 'here', 'we', 'describe', 'how', 'the', 'sensitivity', 'curve', 'is', 'constructed', 'and', 'how', 'it', 'can', 'be', 'used', 'to', 'compute', 'the', 'signaltonoise', 'ratio', 'for', 'a', 'wide', 'range', 'of', 'binary', 'systems', 'we', 'adopt', 'the', '2018', 'lisa', 'phase0', 'reference', 'design', 'parameters', 'we', 'consider', 'both', 'skyaveraged', 'sensitivities', 'and', 'the', 'sensitivity', 'to', 'sources', 'at', 'particular', 'sky', 'locations', 'the', 'calculations', 'are', 'included', 'in', 'a', 'publicly', 'available', 'em', 'python', 'notebook']] | [-0.13675738962348363, 0.0975764182800747, -0.04944191829329639, 0.09108029555816279, -0.10468516619217516, -0.08031110089704996, 0.02555601146410812, 0.4201508430820523, -0.21241425989534368, -0.33236542558579735, 0.1233109181659823, -0.2694976364281217, -0.13356792696779876, 0.28515875977793276, -0.0075419739857692306, 0.037386990302816184, 0.10973359168874043, -0.07250890799920366, -0.04926066547370577, -0.22935844895975532, 0.25428337011617996, 0.16464839829602326, 0.1965355802600206, -0.03376933257801063, 0.08470341962799806, -0.009854028119018884, -0.02669337306246914, -0.019519995691341753, -0.16472036556396316, 0.0696385681600959, 0.3521690805903589, 0.21531124066824864, 0.18690607304487264, -0.3387508673706289, -0.20592198605564507, 0.09546316876969856, 0.0884987972676754, 0.08736179770215066, -0.0030512889537600463, -0.321829785485846, 0.05277634917457372, -0.20953907899445656, -0.16002233076671307, -0.0801229922082087, 0.019121900991056904, 0.06960191649638793, -0.22470597772285192, -0.033050578760190144, -0.06576491107357516, 0.008141347037136175, -0.059180990943327696, -0.11408064306497273, 0.008536821461724813, 0.13779134961371922, -0.05240539067090875, 0.07186799143520983, 0.1486977614565856, -0.0739915029456218, -0.07379800656039004, 0.4011030660358944, -0.09752185124377108, -0.1444478901197212, 0.1418594381339246, -0.15327627122910184, -0.14429393118821235, 0.11605399931696328, 0.23444437898808357, 0.09855598570882446, -0.1659547273878648, 0.07916395866542565, 0.06348140997770407, 0.24941390861329069, 0.10474690912065632, 0.06686546265928432, 0.28819371131483956, 0.1506329216886161, 0.058138428679244084, 0.14013017417576087, -0.21350186370839977, 0.018166754926282048, -0.2964065784419125, -0.09618874366461026, -0.1758967492637704, 0.020852141968189797, -0.048425432416608065, -0.07996549780334751, 0.40781193007856154, 0.20462978276602847, 0.08426934825914978, 0.016810668624156727, 0.3209748580731978, 0.09239212687084959, 0.03890525690994856, 0.025091497620304274, 0.31136160379633154, 0.04779837733238108, 0.10665049256211279, -0.15940380454912426, 0.003942693894108136, -0.03616403651922339] |
1,803.01945 | M3Fusion: A Deep Learning Architecture for Multi-{Scale/Modal/Temporal}
satellite data fusion | Modern Earth Observation systems provide sensing data at different temporal
and spatial resolutions. Among optical sensors, today the Sentinel-2 program
supplies high-resolution temporal (every 5 days) and high spatial resolution
(10m) images that can be useful to monitor land cover dynamics. On the other
hand, Very High Spatial Resolution images (VHSR) are still an essential tool to
figure out land cover mapping characterized by fine spatial patterns.
Understand how to efficiently leverage these complementary sources of
information together to deal with land cover mapping is still challenging. With
the aim to tackle land cover mapping through the fusion of multi-temporal High
Spatial Resolution and Very High Spatial Resolution satellite images, we
propose an End-to-End Deep Learning framework, named M3Fusion, able to leverage
simultaneously the temporal knowledge contained in time series data as well as
the fine spatial information available in VHSR information. Experiments carried
out on the Reunion Island study area asses the quality of our proposal
considering both quantitative and qualitative aspects.
| cs.CV | modern earth observation systems provide sensing data at different temporal and spatial resolutions among optical sensors today the sentinel2 program supplies highresolution temporal every 5 days and high spatial resolution 10m images that can be useful to monitor land cover dynamics on the other hand very high spatial resolution images vhsr are still an essential tool to figure out land cover mapping characterized by fine spatial patterns understand how to efficiently leverage these complementary sources of information together to deal with land cover mapping is still challenging with the aim to tackle land cover mapping through the fusion of multitemporal high spatial resolution and very high spatial resolution satellite images we propose an endtoend deep learning framework named m3fusion able to leverage simultaneously the temporal knowledge contained in time series data as well as the fine spatial information available in vhsr information experiments carried out on the reunion island study area asses the quality of our proposal considering both quantitative and qualitative aspects | [['modern', 'earth', 'observation', 'systems', 'provide', 'sensing', 'data', 'at', 'different', 'temporal', 'and', 'spatial', 'resolutions', 'among', 'optical', 'sensors', 'today', 'the', 'sentinel2', 'program', 'supplies', 'highresolution', 'temporal', 'every', '5', 'days', 'and', 'high', 'spatial', 'resolution', '10m', 'images', 'that', 'can', 'be', 'useful', 'to', 'monitor', 'land', 'cover', 'dynamics', 'on', 'the', 'other', 'hand', 'very', 'high', 'spatial', 'resolution', 'images', 'vhsr', 'are', 'still', 'an', 'essential', 'tool', 'to', 'figure', 'out', 'land', 'cover', 'mapping', 'characterized', 'by', 'fine', 'spatial', 'patterns', 'understand', 'how', 'to', 'efficiently', 'leverage', 'these', 'complementary', 'sources', 'of', 'information', 'together', 'to', 'deal', 'with', 'land', 'cover', 'mapping', 'is', 'still', 'challenging', 'with', 'the', 'aim', 'to', 'tackle', 'land', 'cover', 'mapping', 'through', 'the', 'fusion', 'of', 'multitemporal', 'high', 'spatial', 'resolution', 'and', 'very', 'high', 'spatial', 'resolution', 'satellite', 'images', 'we', 'propose', 'an', 'endtoend', 'deep', 'learning', 'framework', 'named', 'm3fusion', 'able', 'to', 'leverage', 'simultaneously', 'the', 'temporal', 'knowledge', 'contained', 'in', 'time', 'series', 'data', 'as', 'well', 'as', 'the', 'fine', 'spatial', 'information', 'available', 'in', 'vhsr', 'information', 'experiments', 'carried', 'out', 'on', 'the', 'reunion', 'island', 'study', 'area', 'asses', 'the', 'quality', 'of', 'our', 'proposal', 'considering', 'both', 'quantitative', 'and', 'qualitative', 'aspects']] | [-0.043126238159329436, 0.023173343470890683, -0.0864866494781763, 0.12077050592051819, -0.09357075077297602, -0.15878075113474036, 0.001264360301443778, 0.4545209690016539, -0.29286226715869557, -0.390276261507591, 0.15244104024051564, -0.27530671237898924, -0.09107049398503646, 0.17559367569197934, -0.13311092667051672, 0.04711050897898486, 0.10512052743658308, -0.007801355907433367, -0.019337124681318707, -0.2254162163151727, 0.2604635522296986, 0.14150573943154512, 0.3463810470967013, 0.05245848367656121, 0.16994926317384393, 0.005063668951208209, -0.13241766783535297, 0.006522603988371513, -0.10938832947265185, 0.14210864026056327, 0.3643115692955936, 0.16741069508026596, 0.24564809321690304, -0.4465143071553299, -0.259456076603929, 0.04545540490940811, 0.13062935505158635, 0.01558411861827344, -0.003984084128643628, -0.299146784366005, 0.05058623674429125, -0.1002886482387965, -0.0818755050379507, -0.14749566022950558, -0.03386084044303308, -0.0023211927317013897, -0.20627779404655744, 0.013073503153318148, -0.021356045676288942, 0.12639748367745382, -0.033200902223334085, -0.043808999967209446, -0.007936587959619951, 0.23564150923127195, -0.02556640224640522, 0.00670433620976882, 0.09654895050622189, -0.14205754640006266, -0.05494503935879487, 0.36222507069347265, -0.04067926074774867, -0.1469829700726234, 0.2283293619452987, -0.1811567933771495, -0.17305686880179025, 0.14964039507609458, 0.20043461875814692, 0.10429277003708261, -0.1579724057695403, 0.0010745948925039467, -0.021134821186417047, 0.2545745568996709, 0.09197834006188736, 0.0745919726467059, 0.2629288530687192, 0.23284419607026158, 0.08460267280791829, 0.07256535672759465, -0.21969671397797624, -0.04971052569345812, -0.1756639181877728, -0.09204891706956263, -0.18036809986025207, -0.014855468496220348, -0.10405541530682383, -0.06635137073326293, 0.37558601988065576, 0.21019541052813975, 0.22018155591622754, 0.022766754708114872, 0.3521642883848629, -0.019503270486444464, 0.11399662641831386, 0.011115129896221154, 0.1320830400944055, 0.0469146584186496, 0.18567686589480734, -0.18541864274115658, 0.018716419255073516, -0.003168317664667596] |
1,803.01946 | MultiSIMNRA: a computational tool for self-consistent ion beam analysis
using SIMNRA | SIMNRA is widely adopted by the scientific community of ion beam analysis for
interpretation of nuclear scattering analysis. Taking advantage of its
recognized reliability and quality of the simulations, we developed a computer
program that use parallel sessions of SIMNRA to perform self-consistent
analysis for energy spectra of a given sample obtained using different
techniques or experimental setups. In this paper, we present a result using
MultiSIMNRA on self-consistent analysis for a multielemental thin film produced
by magnetron sputtering. The results demonstrate the potentialities of the
self-consistent analysis and its feasibility when using MultiSIMNRA.
| physics.ins-det nucl-ex | simnra is widely adopted by the scientific community of ion beam analysis for interpretation of nuclear scattering analysis taking advantage of its recognized reliability and quality of the simulations we developed a computer program that use parallel sessions of simnra to perform selfconsistent analysis for energy spectra of a given sample obtained using different techniques or experimental setups in this paper we present a result using multisimnra on selfconsistent analysis for a multielemental thin film produced by magnetron sputtering the results demonstrate the potentialities of the selfconsistent analysis and its feasibility when using multisimnra | [['simnra', 'is', 'widely', 'adopted', 'by', 'the', 'scientific', 'community', 'of', 'ion', 'beam', 'analysis', 'for', 'interpretation', 'of', 'nuclear', 'scattering', 'analysis', 'taking', 'advantage', 'of', 'its', 'recognized', 'reliability', 'and', 'quality', 'of', 'the', 'simulations', 'we', 'developed', 'a', 'computer', 'program', 'that', 'use', 'parallel', 'sessions', 'of', 'simnra', 'to', 'perform', 'selfconsistent', 'analysis', 'for', 'energy', 'spectra', 'of', 'a', 'given', 'sample', 'obtained', 'using', 'different', 'techniques', 'or', 'experimental', 'setups', 'in', 'this', 'paper', 'we', 'present', 'a', 'result', 'using', 'multisimnra', 'on', 'selfconsistent', 'analysis', 'for', 'a', 'multielemental', 'thin', 'film', 'produced', 'by', 'magnetron', 'sputtering', 'the', 'results', 'demonstrate', 'the', 'potentialities', 'of', 'the', 'selfconsistent', 'analysis', 'and', 'its', 'feasibility', 'when', 'using', 'multisimnra']] | [-0.05828872637104486, 0.001569024651594784, -0.11464570870663485, 0.020834669324002512, -0.022072725099228, -0.07799060330422514, 0.06461231265616928, 0.3860061884574268, -0.20171328968085026, -0.3427511194072988, 0.098493470049858, -0.2305862660438794, -0.06370523980180935, 0.27329932175242627, 0.02779372702555164, 0.08722846928108281, 0.12280136504736931, -0.08096473996588231, -0.06479519938432571, -0.19426675653085113, 0.28985196718460193, 0.12563104533752345, 0.31718137096512417, 0.04909447383682203, 0.07721526008706701, 0.07137720548780635, -0.06830094836692771, 0.07273067531692189, -0.15571236818734335, 0.12895843931777484, 0.25906386473671655, 0.14327303254875637, 0.2704739222181556, -0.47334190533942805, -0.24042022562302326, 0.01134558279179897, 0.13401791613812195, 0.10706005773618413, -0.13077307690021014, -0.2629485455868037, 0.09003090750142607, -0.18209805016648833, -0.10802322631175428, -0.10172863828483969, -0.0472905647981426, 0.03124332687129145, -0.2630287177801264, 0.02116525609491636, 0.017589163086402394, 0.11974262690131107, -0.0591081080720355, -0.1289765042728623, 0.01194977668194991, 0.08717761861708309, 0.02371147153873766, 0.0006625585349114692, 0.1595890753770895, -0.07790848197992487, -0.12004061783259005, 0.373388047411066, -0.060684174709224506, -0.11746710744362486, 0.17525928779808886, -0.09320907831273001, -0.13362262823173535, 0.11822389486326795, 0.18015097790276227, 0.13464836907350336, -0.18391342104603056, 0.04616052210305655, -0.025028766644106287, 0.17972717427038215, 0.05130877583692579, -0.02807280425812401, 0.16404843620915452, 0.24953605273343704, -0.05843072895304826, 0.1617334368880699, -0.11061758538657475, -0.03529294579715023, -0.2626252641759651, -0.1314780595307441, -0.18823494205919458, 0.006923397512013174, -0.020303488081085758, -0.12331469694111982, 0.41545836009976006, 0.1570203461603302, 0.10074041477080596, 0.010043107297109522, 0.3741146231110653, 0.08560419281053802, 0.028634004515049088, 0.021824615177414988, 0.24385719128464267, 0.1531246457522249, 0.13876716371732586, -0.22684100040857194, 0.06516359577907006, 0.02271129081339535] |
1,803.01947 | Segmentation of Drosophila Heart in Optical Coherence Microscopy Images
Using Convolutional Neural Networks | Convolutional neural networks are powerful tools for image segmentation and
classification. Here, we use this method to identify and mark the heart region
of Drosophila at different developmental stages in the cross-sectional images
acquired by a custom optical coherence microscopy (OCM) system. With our
well-trained convolutional neural network model, the heart regions through
multiple heartbeat cycles can be marked with an intersection over union (IOU)
of ~86%. Various morphological and dynamical cardiac parameters can be
quantified accurately with automatically segmented heart regions. This study
demonstrates an efficient heart segmentation method to analyze OCM images of
the beating heart in Drosophila.
| cs.CV | convolutional neural networks are powerful tools for image segmentation and classification here we use this method to identify and mark the heart region of drosophila at different developmental stages in the crosssectional images acquired by a custom optical coherence microscopy ocm system with our welltrained convolutional neural network model the heart regions through multiple heartbeat cycles can be marked with an intersection over union iou of 86 various morphological and dynamical cardiac parameters can be quantified accurately with automatically segmented heart regions this study demonstrates an efficient heart segmentation method to analyze ocm images of the beating heart in drosophila | [['convolutional', 'neural', 'networks', 'are', 'powerful', 'tools', 'for', 'image', 'segmentation', 'and', 'classification', 'here', 'we', 'use', 'this', 'method', 'to', 'identify', 'and', 'mark', 'the', 'heart', 'region', 'of', 'drosophila', 'at', 'different', 'developmental', 'stages', 'in', 'the', 'crosssectional', 'images', 'acquired', 'by', 'a', 'custom', 'optical', 'coherence', 'microscopy', 'ocm', 'system', 'with', 'our', 'welltrained', 'convolutional', 'neural', 'network', 'model', 'the', 'heart', 'regions', 'through', 'multiple', 'heartbeat', 'cycles', 'can', 'be', 'marked', 'with', 'an', 'intersection', 'over', 'union', 'iou', 'of', '86', 'various', 'morphological', 'and', 'dynamical', 'cardiac', 'parameters', 'can', 'be', 'quantified', 'accurately', 'with', 'automatically', 'segmented', 'heart', 'regions', 'this', 'study', 'demonstrates', 'an', 'efficient', 'heart', 'segmentation', 'method', 'to', 'analyze', 'ocm', 'images', 'of', 'the', 'beating', 'heart', 'in', 'drosophila']] | [-0.04199263581074774, 0.022185142695961987, -0.06033044977579266, 0.046710933099966497, -0.00406445131637156, -0.15256414269213564, -0.02202763232460711, 0.4492301526572555, -0.2913844632729888, -0.26376606309320777, 0.09355825325706973, -0.21223639369010924, -0.24384187259711326, 0.2369944506860338, -0.16771956380573103, 0.04995484101120382, 0.1556284837704152, 0.029173875977285206, 0.012629930144175888, -0.23330381458159535, 0.24576828396879136, 0.02667562414193526, 0.371038522082381, -0.016832060560118406, 0.1426500124344602, -0.0240122666337993, -0.020209154887124894, -0.0042683995247352865, -0.08705408912501297, 0.1649256819905713, 0.35767974773421884, 0.2090438698232174, 0.29552323136944325, -0.4539982439018786, -0.23607945428229868, 0.07624777153425384, 0.1706973210326396, 0.0995484137989115, 0.03166435217950493, -0.35903131142258643, 0.11616954885423184, -0.12694278972689063, -0.008018710049800575, -0.10673563058488071, -0.022208287331741305, -0.019413203278090804, -0.2364383820956573, 0.09979625611566006, -0.019393030397186522, 0.1682104869442992, -0.07648068690672517, -0.025242271003080533, -0.005346469013311435, 0.20967616945970804, -0.05202833338524215, 0.08655609790002927, 0.18359302999917418, -0.18318808746989818, -0.15839923199266195, 0.2771769411768764, -0.004536127924220637, -0.11602332731708884, 0.22892397303134204, -0.12183593579102307, -0.12326767881866545, 0.15006330168340354, 0.20607195944525303, 0.11475334936752915, -0.20410921731963755, -0.08282960584561806, 0.003540645306929946, 0.19165142109850422, 0.11251497262623161, -0.040047204731963576, 0.21968561937566847, 0.27767153607681394, -0.06139809989486821, 0.17611561771249398, -0.24673984879627825, -0.012858606688678265, -0.2103811185719678, -0.0933963696938008, -0.14514606027631088, -0.028457476012408733, -0.12797312359281932, -0.1555137654475402, 0.46957582704722883, 0.14820932666771114, 0.21582574590080184, 0.0557458734838292, 0.3369847084954381, -0.018161098234122618, 0.14514815689995886, 0.027094094334170222, 0.16875061403028668, 0.05258114699041471, 0.06662135130609385, -0.23350577167700975, 0.09682302412111313, 0.10981890108436346] |
1,803.01948 | A hierarchy of topological systems with completely positive entropy | We define a hierarchy of systems with topological completely positive entropy
in the context of continuous countable amenable group actions on compact metric
spaces. For each countable ordinal we construct a dynamical system on the
corresponding level of the aforementioned hierarchy and provide subshifts of
finite type for the first three levels. We give necessary and sufficient
conditions for entropy pairs by means of the asymptotic relation on systems
with the pseudo-orbit tracing property, and thus create a bridge between a
result by Pavlov and a result by Meyerovitch. As a corollary, we answer
negatively an open question by Pavlov regarding necessary conditions for
completely positive entropy.
| math.DS | we define a hierarchy of systems with topological completely positive entropy in the context of continuous countable amenable group actions on compact metric spaces for each countable ordinal we construct a dynamical system on the corresponding level of the aforementioned hierarchy and provide subshifts of finite type for the first three levels we give necessary and sufficient conditions for entropy pairs by means of the asymptotic relation on systems with the pseudoorbit tracing property and thus create a bridge between a result by pavlov and a result by meyerovitch as a corollary we answer negatively an open question by pavlov regarding necessary conditions for completely positive entropy | [['we', 'define', 'a', 'hierarchy', 'of', 'systems', 'with', 'topological', 'completely', 'positive', 'entropy', 'in', 'the', 'context', 'of', 'continuous', 'countable', 'amenable', 'group', 'actions', 'on', 'compact', 'metric', 'spaces', 'for', 'each', 'countable', 'ordinal', 'we', 'construct', 'a', 'dynamical', 'system', 'on', 'the', 'corresponding', 'level', 'of', 'the', 'aforementioned', 'hierarchy', 'and', 'provide', 'subshifts', 'of', 'finite', 'type', 'for', 'the', 'first', 'three', 'levels', 'we', 'give', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'entropy', 'pairs', 'by', 'means', 'of', 'the', 'asymptotic', 'relation', 'on', 'systems', 'with', 'the', 'pseudoorbit', 'tracing', 'property', 'and', 'thus', 'create', 'a', 'bridge', 'between', 'a', 'result', 'by', 'pavlov', 'and', 'a', 'result', 'by', 'meyerovitch', 'as', 'a', 'corollary', 'we', 'answer', 'negatively', 'an', 'open', 'question', 'by', 'pavlov', 'regarding', 'necessary', 'conditions', 'for', 'completely', 'positive', 'entropy']] | [-0.12189993779223943, 0.12668227855016578, -0.07141822381119166, 0.11132255626981642, -0.037888890141011954, -0.1477089136127365, 0.10885962511404096, 0.327553607923823, -0.26966080999123715, -0.2368492537534961, 0.13591603355408238, -0.24719699492208033, -0.1356728766548717, 0.20306018414519833, -0.0876263605308867, 0.05050550988727363, 0.052233023869274094, 0.07636867780874866, -0.06746971092913648, -0.24363160348349364, 0.4558877200584545, -0.019416637078937246, 0.22716991760045568, 0.09239787528308753, 0.14936197913582566, 6.019308614744761e-05, -0.03608583225259366, 0.05572890806246862, -0.17819248287825384, 0.10680382116153732, 0.2391033217911478, 0.16590124143670512, 0.28059852460973733, -0.35039048530509537, -0.1762087572579246, 0.11769439857540147, 0.07697988087833624, 0.04259639375225127, -0.06982765451974506, -0.3157514316317077, 0.10848336728457274, -0.18797063292874563, -0.1300262695126166, -0.11398512446190988, 0.05111761727135315, -0.00659260262569813, -0.25299343729617996, 0.050679542019824005, 0.15479023560362642, 0.09653456630968602, -0.10069972459905754, -0.019384852422305567, -0.014925618743019127, 0.14379384665462736, -0.03264814668745772, -0.012102604883659857, 0.018596315834775706, -0.05001725630712844, -0.14075782619281801, 0.35499363134954576, -0.08781471055666873, -0.2598112985039147, 0.2210404006372615, -0.11688476220800359, -0.16267801077914573, 0.07344788249808355, 0.12857173244843137, 0.11566901866729572, -0.1207041586357578, 0.10610316834569186, -0.07927769079595526, 0.1434526552226412, 0.07104322157591303, 0.04187148450830273, 0.18424297378302734, 0.10626988992460559, 0.15791890366333666, 0.1781781910239745, 0.06711100297544813, -0.03792498949599653, -0.32703923281699976, -0.20025001090263653, -0.10967600292517482, 0.10328013105230911, -0.06739564057467853, -0.1813034551374823, 0.366597508541613, 0.08054961464324287, 0.19653164501362871, 0.12015259509175041, 0.2105949410763961, 0.09912404423486006, -0.011986425355355317, 0.05552116955402547, 0.10169487519224531, 0.17636255679704319, 0.023760358485280075, -0.18500228031651578, 0.04316301769185289, 0.1796945022619286] |
1,803.01949 | Admissible perturbations and false instabilities in PT-symmetric quantum
systems | In ${\cal PT}-$symmetric quantum mechanics one of the most characteristic
mathematical features of the formalism is the explicit Hamiltonian-dependence
of the physical Hilbert space of states ${\cal H}={\cal H}(H)$. Some of the
most important physical consequences are discussed, with emphasis on the
dynamical regime in which the system is close to the quantum phase transition.
Consistent perturbation treatment of such a regime is proposed. An illustrative
application of the innovated perturbation theory to a non-Hermitian but ${\cal
PT}-$symmetric user-friendly family of $J-$parametric "discrete anharmonic"
quantum Hamiltonians $H=H(\vec{\lambda})$ is given. The models are shown to
admit the standard probabilistic interpretation if and only if the parameters
remain compatible with the reality of the spectrum, $\vec{\lambda} \in {\cal
D}^{(physical)}$. In contradiction to the conventional wisdom the systems are
shown stable with respect to the admissible perturbations lying inside the
domain ${\cal D}^{(physical)}$. This observation holds even in the immediate
vicinity of the phase-transition boundaries $\partial {\cal D}^{(physical)}$.
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1,803.0195 | Yang-Mills for probabilists | The rigorous construction of quantum Yang-Mills theories, especially in
dimension four, is one of the central open problems of mathematical physics.
Construction of Euclidean Yang-Mills theories is the first step towards this
goal. This article presents a formulation of some of the core aspects this
problem as problems in probability theory. The presentation begins with an
introduction to the basic setup of Euclidean Yang-Mills theories and lattice
gauge theories. This is followed by a discussion of what is meant by a
continuum limit of lattice gauge theories from the point of view of theoretical
physicists. Some of the main issues are then posed as problems in probability.
The article ends with a brief review of the mathematical literature.
| math.PR math-ph math.MP | the rigorous construction of quantum yangmills theories especially in dimension four is one of the central open problems of mathematical physics construction of euclidean yangmills theories is the first step towards this goal this article presents a formulation of some of the core aspects this problem as problems in probability theory the presentation begins with an introduction to the basic setup of euclidean yangmills theories and lattice gauge theories this is followed by a discussion of what is meant by a continuum limit of lattice gauge theories from the point of view of theoretical physicists some of the main issues are then posed as problems in probability the article ends with a brief review of the mathematical literature | [['the', 'rigorous', 'construction', 'of', 'quantum', 'yangmills', 'theories', 'especially', 'in', 'dimension', 'four', 'is', 'one', 'of', 'the', 'central', 'open', 'problems', 'of', 'mathematical', 'physics', 'construction', 'of', 'euclidean', 'yangmills', 'theories', 'is', 'the', 'first', 'step', 'towards', 'this', 'goal', 'this', 'article', 'presents', 'a', 'formulation', 'of', 'some', 'of', 'the', 'core', 'aspects', 'this', 'problem', 'as', 'problems', 'in', 'probability', 'theory', 'the', 'presentation', 'begins', 'with', 'an', 'introduction', 'to', 'the', 'basic', 'setup', 'of', 'euclidean', 'yangmills', 'theories', 'and', 'lattice', 'gauge', 'theories', 'this', 'is', 'followed', 'by', 'a', 'discussion', 'of', 'what', 'is', 'meant', 'by', 'a', 'continuum', 'limit', 'of', 'lattice', 'gauge', 'theories', 'from', 'the', 'point', 'of', 'view', 'of', 'theoretical', 'physicists', 'some', 'of', 'the', 'main', 'issues', 'are', 'then', 'posed', 'as', 'problems', 'in', 'probability', 'the', 'article', 'ends', 'with', 'a', 'brief', 'review', 'of', 'the', 'mathematical', 'literature']] | [-0.09732859769157308, 0.130276967251552, -0.10255928560711593, 0.05706662765577814, -0.07999916996420124, -0.11939501775807496, 0.02730116808404199, 0.2849919192366681, -0.2220049532193501, -0.2586323995443093, 0.12618570496284767, -0.25857632503829014, -0.20080196620478152, 0.1320455934284097, -0.12717797066883485, 0.05798869065435256, 0.0409082169230175, 0.04400307288535445, -0.10027433263721987, -0.28271740010024, 0.3516291778897709, 0.05826064279220083, 0.24355902641980073, 0.09035525448872882, 0.07812537121886419, -0.009587787083839462, -0.06330439764059197, 0.034000804971398436, -0.145213748192241, 0.18295899879530672, 0.2805130020557445, 0.1439029371101504, 0.3152998697517787, -0.4368637428634753, -0.22818983467325363, 0.024348252392605824, 0.12503201947290987, 0.1570513845720798, -0.01290381608641375, -0.254398536205418, 0.023749466228764504, -0.13185903840398383, -0.19918128961161513, 0.023969680335277976, 0.0031727989661996647, -0.06010092792527403, -0.1647826657488437, 0.0199876932873217, 0.06799626398942102, 0.1117492534646417, -0.020108308228003097, -0.11233817785978317, 0.06699085432909808, 0.09511380524954648, 0.10905596340406623, 0.1002748919240499, 0.08067727811492474, -0.19807057457549845, -0.184954741261347, 0.4511942915200114, 0.013695340611482575, -0.18359836134408458, 0.17401412872585736, -0.097732210464744, -0.1999349603015077, 0.062361326068639755, 0.11549327972984352, 0.13979381797203827, -0.16008464129783717, 0.1820762296186531, -0.05944228842380946, 0.10345014413227761, 0.024892938990240632, 0.025321251957408957, 0.24562178661068113, 0.20630920378459713, 0.06387527087324504, 0.15611104094581205, 0.03558992644400983, -0.1766253551468253, -0.44655993763925667, -0.1541919250211923, -0.13587092668394227, 0.09160562423728723, -0.04237460854482517, -0.17075620734495883, 0.3852498863934208, 0.1536667738346604, 0.15371952168801326, 0.05864872999678729, 0.2511213782038224, 0.09416439685915297, -0.024061163858277723, -0.007497660113277577, 0.18276412187536814, 0.2132374566735037, 0.11400819169278494, -0.1533165858220901, -0.07722096411527087, 0.1803818976494752] |
1,803.01951 | Accessing finite momentum excitations of the one-dimensional
Bose-Hubbard model using superlattice modulation spectroscopy | We investigate the response to superlattice modulation of a bosonic quantum
gas confined to arrays of tubes emulating the one-dimensional Bose-Hubbard
model. We demonstrate, using both time-dependent density matrix renormalization
group and linear response theory, that such a superlattice modulation gives
access to the excitation spectrum of the Bose-Hubbard model at finite momenta.
Deep in the Mott-insulator, the response is characterized by a narrow energy
absorption peak at a frequency approximately corresponding to the onsite
interaction strength between bosons. This spectroscopic technique thus allows
for an accurate measurement of the effective value of the interaction strength.
On the superfluid side, we show that the response depends on the lattice
filling. The system can either respond at infinitely small values of the
modulation frequency or only above a frequency threshold. We discuss our
numerical findings in light of analytical results obtained for the Lieb-Liniger
model. In particular, for this continuum model, bosonization predicts power-law
onsets for both responses.
| cond-mat.quant-gas | we investigate the response to superlattice modulation of a bosonic quantum gas confined to arrays of tubes emulating the onedimensional bosehubbard model we demonstrate using both timedependent density matrix renormalization group and linear response theory that such a superlattice modulation gives access to the excitation spectrum of the bosehubbard model at finite momenta deep in the mottinsulator the response is characterized by a narrow energy absorption peak at a frequency approximately corresponding to the onsite interaction strength between bosons this spectroscopic technique thus allows for an accurate measurement of the effective value of the interaction strength on the superfluid side we show that the response depends on the lattice filling the system can either respond at infinitely small values of the modulation frequency or only above a frequency threshold we discuss our numerical findings in light of analytical results obtained for the liebliniger model in particular for this continuum model bosonization predicts powerlaw onsets for both responses | [['we', 'investigate', 'the', 'response', 'to', 'superlattice', 'modulation', 'of', 'a', 'bosonic', 'quantum', 'gas', 'confined', 'to', 'arrays', 'of', 'tubes', 'emulating', 'the', 'onedimensional', 'bosehubbard', 'model', 'we', 'demonstrate', 'using', 'both', 'timedependent', 'density', 'matrix', 'renormalization', 'group', 'and', 'linear', 'response', 'theory', 'that', 'such', 'a', 'superlattice', 'modulation', 'gives', 'access', 'to', 'the', 'excitation', 'spectrum', 'of', 'the', 'bosehubbard', 'model', 'at', 'finite', 'momenta', 'deep', 'in', 'the', 'mottinsulator', 'the', 'response', 'is', 'characterized', 'by', 'a', 'narrow', 'energy', 'absorption', 'peak', 'at', 'a', 'frequency', 'approximately', 'corresponding', 'to', 'the', 'onsite', 'interaction', 'strength', 'between', 'bosons', 'this', 'spectroscopic', 'technique', 'thus', 'allows', 'for', 'an', 'accurate', 'measurement', 'of', 'the', 'effective', 'value', 'of', 'the', 'interaction', 'strength', 'on', 'the', 'superfluid', 'side', 'we', 'show', 'that', 'the', 'response', 'depends', 'on', 'the', 'lattice', 'filling', 'the', 'system', 'can', 'either', 'respond', 'at', 'infinitely', 'small', 'values', 'of', 'the', 'modulation', 'frequency', 'or', 'only', 'above', 'a', 'frequency', 'threshold', 'we', 'discuss', 'our', 'numerical', 'findings', 'in', 'light', 'of', 'analytical', 'results', 'obtained', 'for', 'the', 'liebliniger', 'model', 'in', 'particular', 'for', 'this', 'continuum', 'model', 'bosonization', 'predicts', 'powerlaw', 'onsets', 'for', 'both', 'responses']] | [-0.1612422755247599, 0.17489574847501557, -0.044335259180990565, 0.04113051283935524, -0.01777566675909433, -0.16560920931481918, 0.07842904073260369, 0.4049045605715483, -0.2321464847536034, -0.2506349655046205, 0.02777530486134895, -0.28528763754391573, -0.1362174155300329, 0.1785004965020759, 0.052596638901574407, 0.030797151152128326, -0.009329138715176067, 0.014796170721922046, -0.08157750602609887, -0.1795247057452798, 0.2726053565319414, 0.05372953921861229, 0.29570902556264, 0.07912907299769532, 0.06440287469559984, 0.05976215787350562, 0.05056475614239076, -0.015442730500036554, -0.12762935941931006, 0.06330676380527105, 0.21192641932870243, -0.03968402285686439, 0.22258431420092037, -0.40921641805559206, -0.24236231216060436, 0.044373766637769096, 0.14528912472817454, 0.15038374745565805, -0.02620976065748199, -0.27822858632904046, 6.49680840266738e-06, -0.2032225146640543, -0.17789469287392629, -0.07047959589873956, 0.008885505852425934, 0.032216418101852703, -0.30537017494007046, 0.10285936917269538, 0.0032582570276679886, 0.06787818172578788, -0.11312070880033324, -0.06218520673451601, -0.004481097248792173, 0.07499971268490953, -0.008539348293487339, 0.0029273316398363823, 0.13521092247728045, -0.16117754093278228, -0.0617779722158459, 0.35367942002311253, -0.12447724126392062, -0.15688628810724825, 0.18704778835723165, -0.17517662314686236, -0.05665005552419313, 0.16079222189857934, 0.16533788276990508, 0.029566450578391933, -0.09986151039235555, 0.0707227744901357, -0.04969061508398076, 0.23027504355758635, 0.030997586415807722, 0.037564996683341303, 0.24382949443711976, 0.17456233078335073, 0.026900494225014736, 0.14715988249636616, -0.12027894992345742, -0.08270685791904048, -0.2942746946244103, -0.07109169032086195, -0.21116279235560517, 0.03413128099555541, -0.07341880827338011, -0.17240801326942387, 0.4578630129990589, 0.17142381926310385, 0.20163867049880183, 0.057384480722248554, 0.271239482305327, 0.17936592480052072, 0.04357837850916063, 0.03468191666694678, 0.25585566735144255, 0.13847139276190407, 0.07666779527363551, -0.3012327638478463, -0.01610938273963465, 0.06465336325679236] |
1,803.01952 | Analyzing the Gamma-ray Sky with Wavelets | We analyze the gamma-ray sky at energies of 0.5 to 50 GeV using the
undecimated wavelet transform on the sphere. Focusing on the inner $60^{\circ}
\times 60^{\circ}$ of the sky, we identify and characterize four separate
residuals beyond the expected Milky Way diffuse emission. We detect the
\textit{Fermi} Bubbles, finding compelling evidence that they are diffuse in
nature and contain very little small-scale structure. We detect the "cocoon"
inside the Southern Bubble, and we also identify its northern counterpart above
2 GeV. The Northern Cocoon lies along the same axis but is $\sim 30 \%$ dimmer
than the southern one. We characterize the Galactic center excess, which we
find extends up to $20^{\circ}$ in $|b|$. At latitudes $|b| \leq 5^{\circ}$ we
find evidence for power in small angular scales that could be the result of
point-source contributions, but for $|b| \geq 5^{\circ}$ the Galactic center
excess is dominantly diffuse in its nature. Our findings show that either the
Galactic center excess and {\it Fermi} Bubbles connect smoothly or that the
Bubbles brighten significantly below $15^\circ$ in latitude. We find that the
Galactic center excess appears off-center by a few degrees towards negative
$\ell$. Additionally, we find and characterize two emissions along the Galactic
disk centered at $\ell \simeq +25^{\circ}$ and $-20^{\circ}$. These emissions
are significantly more elongated along the Galactic disk than the Galactic
center excess.
| astro-ph.HE astro-ph.CO astro-ph.GA astro-ph.IM hep-ph | we analyze the gammaray sky at energies of 05 to 50 gev using the undecimated wavelet transform on the sphere focusing on the inner 60circ times 60circ of the sky we identify and characterize four separate residuals beyond the expected milky way diffuse emission we detect the textitfermi bubbles finding compelling evidence that they are diffuse in nature and contain very little smallscale structure we detect the cocoon inside the southern bubble and we also identify its northern counterpart above 2 gev the northern cocoon lies along the same axis but is sim 30 dimmer than the southern one we characterize the galactic center excess which we find extends up to 20circ in b at latitudes b leq 5circ we find evidence for power in small angular scales that could be the result of pointsource contributions but for b geq 5circ the galactic center excess is dominantly diffuse in its nature our findings show that either the galactic center excess and it fermi bubbles connect smoothly or that the bubbles brighten significantly below 15circ in latitude we find that the galactic center excess appears offcenter by a few degrees towards negative ell additionally we find and characterize two emissions along the galactic disk centered at ell simeq 25circ and 20circ these emissions are significantly more elongated along the galactic disk than the galactic center excess | [['we', 'analyze', 'the', 'gammaray', 'sky', 'at', 'energies', 'of', '05', 'to', '50', 'gev', 'using', 'the', 'undecimated', 'wavelet', 'transform', 'on', 'the', 'sphere', 'focusing', 'on', 'the', 'inner', '60circ', 'times', '60circ', 'of', 'the', 'sky', 'we', 'identify', 'and', 'characterize', 'four', 'separate', 'residuals', 'beyond', 'the', 'expected', 'milky', 'way', 'diffuse', 'emission', 'we', 'detect', 'the', 'textitfermi', 'bubbles', 'finding', 'compelling', 'evidence', 'that', 'they', 'are', 'diffuse', 'in', 'nature', 'and', 'contain', 'very', 'little', 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1,803.01953 | Uniformity thresholds for the asymptotic size of extremal Berge-$F$-free
hypergraphs | Let $F = (U,E)$ be a graph and $\mathcal{H} = (V,\mathcal{E})$ be a
hypergraph. We say that $\mathcal{H}$ contains a Berge-$F$ if there exist
injections $\psi:U\to V$ and $\varphi:E\to \mathcal{E}$ such that for every
$e=\{u,v\}\in E$, $\{\psi(u),\psi(v)\}\subset\varphi(e)$. Let $ex_r(n,F)$
denote the maximum number of hyperedges in an $r$-uniform hypergraph on $n$
vertices which does not contain a Berge-$F$.
For small enough $r$ and non-bipartite $F$, $ex_r(n,F)=\Omega(n^2)$; we show
that for sufficiently large $r$, $ex_r(n,F)=o(n^2)$. Let $thres(F) = \min\{r_0
:ex_r(n,F) = o(n^2) \text{ for all } r \ge r_0 \}$. We show lower and upper
bounds for $thres(F)$, the uniformity threshold of $F$. In particular, we
obtain that $thres(\triangle) = 5$, improving a result of Gy\H{o}ri.
We also study the analogous problem for linear hypergraphs. Let $ex^L_r(n,F)$
denote the maximum number of hyperedges in an $r$-uniform linear hypergraph on
$n$ vertices which does not contain a Berge-$F$, and let the linear unformity
threshold $thres^L(F) = \min\{r_0 :ex^L_r(n,F) = o(n^2) \text{ for all } r \ge
r_0 \}$. We show that $thres^L(F)$ is equal to the chromatic number of $F$.
| math.CO | let f ue be a graph and mathcalh vmathcale be a hypergraph we say that mathcalh contains a bergef if there exist injections psiuto v and varphieto mathcale such that for every euvin e psiupsivsubsetvarphie let ex_rnf denote the maximum number of hyperedges in an runiform hypergraph on n vertices which does not contain a bergef for small enough r and nonbipartite f ex_rnfomegan2 we show that for sufficiently large r ex_rnfon2 let thresf minr_0 ex_rnf on2 text for all r ge r_0 we show lower and upper bounds for thresf the uniformity threshold of f in particular we obtain that threstriangle 5 improving a result of gyhori we also study the analogous problem for linear hypergraphs let exl_rnf denote the maximum number of hyperedges in an runiform linear hypergraph on n vertices which does not contain a bergef and let the linear unformity threshold threslf minr_0 exl_rnf on2 text for all r ge r_0 we show that threslf is equal to the chromatic number of f | [['let', 'f', 'ue', 'be', 'a', 'graph', 'and', 'mathcalh', 'vmathcale', 'be', 'a', 'hypergraph', 'we', 'say', 'that', 'mathcalh', 'contains', 'a', 'bergef', 'if', 'there', 'exist', 'injections', 'psiuto', 'v', 'and', 'varphieto', 'mathcale', 'such', 'that', 'for', 'every', 'euvin', 'e', 'psiupsivsubsetvarphie', 'let', 'ex_rnf', 'denote', 'the', 'maximum', 'number', 'of', 'hyperedges', 'in', 'an', 'runiform', 'hypergraph', 'on', 'n', 'vertices', 'which', 'does', 'not', 'contain', 'a', 'bergef', 'for', 'small', 'enough', 'r', 'and', 'nonbipartite', 'f', 'ex_rnfomegan2', 'we', 'show', 'that', 'for', 'sufficiently', 'large', 'r', 'ex_rnfon2', 'let', 'thresf', 'minr_0', 'ex_rnf', 'on2', 'text', 'for', 'all', 'r', 'ge', 'r_0', 'we', 'show', 'lower', 'and', 'upper', 'bounds', 'for', 'thresf', 'the', 'uniformity', 'threshold', 'of', 'f', 'in', 'particular', 'we', 'obtain', 'that', 'threstriangle', '5', 'improving', 'a', 'result', 'of', 'gyhori', 'we', 'also', 'study', 'the', 'analogous', 'problem', 'for', 'linear', 'hypergraphs', 'let', 'exl_rnf', 'denote', 'the', 'maximum', 'number', 'of', 'hyperedges', 'in', 'an', 'runiform', 'linear', 'hypergraph', 'on', 'n', 'vertices', 'which', 'does', 'not', 'contain', 'a', 'bergef', 'and', 'let', 'the', 'linear', 'unformity', 'threshold', 'threslf', 'minr_0', 'exl_rnf', 'on2', 'text', 'for', 'all', 'r', 'ge', 'r_0', 'we', 'show', 'that', 'threslf', 'is', 'equal', 'to', 'the', 'chromatic', 'number', 'of', 'f']] | [-0.20207028492043416, 0.15306029383384157, -0.015634884856020412, -0.008915588224772364, -0.06773097585265835, -0.20965828601891795, 0.02249605296490093, 0.32075879647706945, -0.2430219903215766, -0.29366926167839363, 0.02954307428949202, -0.34578224949538705, -0.08714376962433258, 0.1507337632526954, -0.1023733536619693, -0.03632419827549408, 0.09752779977396131, 0.145222413012137, 0.031556700031893946, -0.2831877661475058, 0.23876280943475042, -0.08556384678930044, 0.12565997630668183, 0.10531775503108899, 0.05930929921295804, 0.057359883959094686, 0.06595420896696548, 0.10931344592478126, -0.24206072842202653, 0.05629856616181011, 0.30344605799143515, 0.21955308508748808, 0.2971807482900719, -0.3934008538371806, -0.13670942274232706, 0.32426051268043615, 0.17672381337732077, -0.03548628790459285, 0.02163882994558662, -0.16924264501780273, 0.2265286164917052, -0.11416240353447696, -0.07580741426597039, 0.009382219246278207, 0.1906673740843932, 0.009335607776495938, -0.4021758451933662, -0.053948883428432355, 0.13979711906363568, 0.05330633228314885, 0.0748067850805819, -0.20174401316170892, -0.08657841779912512, 0.016579404215638836, -0.11771531797479838, 0.1109889843617566, 0.017611990755346293, -0.08590954229681907, -0.07283033645401399, 0.33878237555424373, -0.10140174736579259, -0.1791812786149482, 0.052422236961623035, -0.19859966476869886, -0.15099470615542182, 0.08038618405504773, 0.1517503803720077, 0.18503068598608177, -0.005506776768403748, 0.22065641974215397, -0.16890246148667454, 0.18116138252119224, 0.11255078703785935, 0.039806542123357457, 0.10208655880143246, 0.06551920307334512, 0.1970409267457823, 0.12714682335034014, -0.013275402669484416, 0.12377943723462521, -0.3705862808320671, -0.10534330626639227, -0.26311727333969126, 0.14339823746141822, -0.19406972190937571, -0.18021995125260826, 0.35455636894330383, 0.11104048442988036, 0.22897779243687788, 0.14936918089631945, 0.16998977904518445, 0.07474706843184928, 0.01256366196088493, 0.2193405561118076, 0.0657262633740902, 0.16935078167666992, -0.09552957726021608, -0.1448470944162303, 0.04448638276817898, 0.13080563749807575] |
1,803.01954 | Characteristic directions of two-dimensional biholomorphisms | We prove that for each characteristic direction $[v]$ of a tangent to the
identity diffeomorphism of order $k+1$ in $\mathbb{C}^2$ there exist either an
analytic curve of fixed points tangent to $[v]$ or $k$ parabolic manifolds
where all the orbits are tangent to $[v]$, and that at least one of these
parabolic manifolds is or contains a parabolic curve.
| math.DS math.CV | we prove that for each characteristic direction v of a tangent to the identity diffeomorphism of order k1 in mathbbc2 there exist either an analytic curve of fixed points tangent to v or k parabolic manifolds where all the orbits are tangent to v and that at least one of these parabolic manifolds is or contains a parabolic curve | [['we', 'prove', 'that', 'for', 'each', 'characteristic', 'direction', 'v', 'of', 'a', 'tangent', 'to', 'the', 'identity', 'diffeomorphism', 'of', 'order', 'k1', 'in', 'mathbbc2', 'there', 'exist', 'either', 'an', 'analytic', 'curve', 'of', 'fixed', 'points', 'tangent', 'to', 'v', 'or', 'k', 'parabolic', 'manifolds', 'where', 'all', 'the', 'orbits', 'are', 'tangent', 'to', 'v', 'and', 'that', 'at', 'least', 'one', 'of', 'these', 'parabolic', 'manifolds', 'is', 'or', 'contains', 'a', 'parabolic', 'curve']] | [-0.26478729286562586, 0.04195081723298506, -0.07412923649111289, -0.017286312464482576, -0.12871349963233253, -0.23106001686873073, -0.014425854498552064, 0.39692524435409043, -0.3216429270046242, -0.13452960958041377, 0.10260871756166788, -0.3394021158248691, -0.09415383176814954, 0.18628751580461356, -0.0942004530895817, 0.006344307640220149, 0.028691440694412942, 0.14795130861615288, -0.09972378213779401, -0.2781398656099277, 0.4070169952208713, -0.15543560762652905, 0.11958983319543176, 0.010626845772109799, 0.15691278413948367, -0.03776962027521962, 0.0882618095631064, 0.024775455342763562, -0.14060986900067754, 0.10165939851806073, 0.28261997291849833, 0.044172464139854255, 0.23960587536221592, -0.35115473316508833, -0.17348714629819584, 0.20662089659816632, 0.12195766277579685, -0.008182597283463357, 0.015149508062276548, -0.21651554287616478, 0.15131551510322902, -0.025072400963281172, -0.24742827594469666, -0.012532516840403364, 0.10111443499118973, 0.0329335300188701, -0.2334075782258632, 0.00596656638465948, 0.14824704503861524, 0.1427696899439887, -0.055843635335943456, -0.11856654701533459, -0.1514506050685452, 0.07943936177703032, 0.04871890107880078, 0.1184436875509919, 0.057209234345325474, -0.05076975482308811, -0.07444645908771683, 0.4211815087977102, -0.10194221277863293, -0.2185090953894591, 0.1528109578747239, -0.21227450050429394, -0.08430475788980217, 0.1886638181355103, 0.1416734533337087, 0.1559761451967692, -0.057844332119418404, 0.15198236287046635, -0.06905788820931467, 0.0709145052232227, 0.13634388113268098, -0.07958618631996846, 0.14017712051774991, 0.018610930891107706, 0.19294316353181662, 0.017296078567535192, -0.06525378023921433, -0.0188125495451613, -0.41019984877715676, -0.20418591381413703, -0.11048371092440024, 0.14343908893228588, -0.11369545704076438, -0.18192450310719216, 0.38714525439792263, 0.030828397279068574, 0.29546548012580914, 0.03536078973152375, 0.23503577306677223, 0.11027845478285167, 0.031193762354679026, 0.15985399511518447, 0.15808920677498742, 0.11843813573783737, -0.05006597004436209, -0.13142971405502946, -0.052998842324240736, 0.15278143692224966] |
1,803.01955 | Multi-spinon and holon excitations probed by resonant inelastic x-ray
scattering on doped one-dimensional antiferromagnets | Resonant inelastic x-ray scattering (RIXS) at the oxygen $K$-edge has
recently accessed multi-spinon excitations in the one-dimensional
antiferromagnet (1D-AFM) \sco, where four-spinon excitations are resolved
separately from the two-spinon continuum. This technique, therefore, provides
new opportunities to study fractionalized quasiparticle excitations in doped
1D-AFMs. To this end, we carried out exact diagonalization studies of the doped
$t$-$J$ model and provided predictions for oxygen $K$-edge RIXS experiments on
doped 1D-AFMs. We show that the RIXS spectra are rich, containing distinct two-
and four-spinon excitations, dispersive (anti)holon excitations, and
combinations thereof. Our results highlight how RIXS complements inelastic
neutron scattering experiments by accessing additional charge and spin
components of fractionalized quasiparticles.
| cond-mat.str-el | resonant inelastic xray scattering rixs at the oxygen kedge has recently accessed multispinon excitations in the onedimensional antiferromagnet 1dafm sco where fourspinon excitations are resolved separately from the twospinon continuum this technique therefore provides new opportunities to study fractionalized quasiparticle excitations in doped 1dafms to this end we carried out exact diagonalization studies of the doped tj model and provided predictions for oxygen kedge rixs experiments on doped 1dafms we show that the rixs spectra are rich containing distinct two and fourspinon excitations dispersive antiholon excitations and combinations thereof our results highlight how rixs complements inelastic neutron scattering experiments by accessing additional charge and spin components of fractionalized quasiparticles | [['resonant', 'inelastic', 'xray', 'scattering', 'rixs', 'at', 'the', 'oxygen', 'kedge', 'has', 'recently', 'accessed', 'multispinon', 'excitations', 'in', 'the', 'onedimensional', 'antiferromagnet', '1dafm', 'sco', 'where', 'fourspinon', 'excitations', 'are', 'resolved', 'separately', 'from', 'the', 'twospinon', 'continuum', 'this', 'technique', 'therefore', 'provides', 'new', 'opportunities', 'to', 'study', 'fractionalized', 'quasiparticle', 'excitations', 'in', 'doped', '1dafms', 'to', 'this', 'end', 'we', 'carried', 'out', 'exact', 'diagonalization', 'studies', 'of', 'the', 'doped', 'tj', 'model', 'and', 'provided', 'predictions', 'for', 'oxygen', 'kedge', 'rixs', 'experiments', 'on', 'doped', '1dafms', 'we', 'show', 'that', 'the', 'rixs', 'spectra', 'are', 'rich', 'containing', 'distinct', 'two', 'and', 'fourspinon', 'excitations', 'dispersive', 'antiholon', 'excitations', 'and', 'combinations', 'thereof', 'our', 'results', 'highlight', 'how', 'rixs', 'complements', 'inelastic', 'neutron', 'scattering', 'experiments', 'by', 'accessing', 'additional', 'charge', 'and', 'spin', 'components', 'of', 'fractionalized', 'quasiparticles']] | [-0.1123862629404889, 0.22525670964551983, -0.05325014308920868, 0.101517951777117, -0.07014872803010117, -0.16497704172331207, 0.12988406732537836, 0.44751829362281087, -0.22121225374768366, -0.2081877252368151, -0.07123810130408702, -0.4914715623939937, -0.08494949050440963, 0.13997694302211902, 0.1426572681641874, 0.022387976520409244, 0.021180577281827352, -0.09481418860267918, -0.057950902809301076, -0.20799382676849282, 0.2610337993499102, 0.04809205503892681, 0.26166384031047235, 0.14722526563718072, -0.026566595124643086, 0.1285986010345437, 0.06330955206012388, -0.04841246889719634, -0.1520023180267533, 0.07820385590828252, 0.3938773957801596, -0.09314350318602936, 0.06652004461963924, -0.4750237299551098, -0.20908354377409197, -0.07059590729559719, 0.24342110522864563, 0.13358972714950312, -0.07245093787128527, -0.3017252010978618, -0.014549360817017139, -0.17487231140104034, -0.11663265974823174, -0.18483769957784493, -0.08894672706055473, -0.023735532934672007, -0.2098812865058206, 0.06637655744627821, 0.03979355801898494, 0.0717346430228988, -0.14316706231549242, -0.14885588997166674, -0.08078767738155669, 0.012690308635597522, 0.049825166181863265, -0.011081876766973368, 0.10861313409382864, -0.091185444102728, -0.16725150364580704, 0.2891948680659176, -0.04043106186502385, -0.06331033178798433, 0.18755147600203823, -0.20409413354409822, -0.17762092206152683, 0.21717742242288054, 0.049008864764989585, 0.13405260830274168, -0.15120768191222594, 0.09627299473559449, -0.11647074988705187, 0.22478329401462172, 0.03804687158872356, 0.1709602812177695, 0.2792506386385352, 0.19813284823914795, -0.053483148165366215, 0.13127973307811497, -0.16939678959293678, 0.009937302213829925, -0.1938377719961177, -0.08685482174645723, -0.2286087134237981, 0.04217029799803881, 0.012255426479244323, -0.14529526943586907, 0.3742378630350291, 0.13231290189795336, 0.17196912872868608, -0.10389648420068454, 0.2558118256274611, 0.12342224722697381, 0.021240368792962917, 0.030983700566345227, 0.21785633532409468, 0.17230933775712368, 0.09888126847184843, -0.3632768798544827, -0.034247631637625536, 0.03207405928834254] |
1,803.01956 | Using electron irradiation to probe iron - based superconductors | High energy electron irradiation is an efficient way to create
vacancy-interstitial Frenkel pairs in crystal lattice, thereby inducing
controlled non-magnetic point - like scattering centers. In combination with
London penetration depth and resistivity measurements, the irradiation was
particularly useful as a phase - sensitive probe of the superconducting order
parameter in iron - based superconductors lending strongest support to sign -
changing $s_{\pm}$ pairing. Here we review the key results on the effect of
electron irradiation in iron-based superconductors.
| cond-mat.supr-con | high energy electron irradiation is an efficient way to create vacancyinterstitial frenkel pairs in crystal lattice thereby inducing controlled nonmagnetic point like scattering centers in combination with london penetration depth and resistivity measurements the irradiation was particularly useful as a phase sensitive probe of the superconducting order parameter in iron based superconductors lending strongest support to sign changing s_pm pairing here we review the key results on the effect of electron irradiation in ironbased superconductors | [['high', 'energy', 'electron', 'irradiation', 'is', 'an', 'efficient', 'way', 'to', 'create', 'vacancyinterstitial', 'frenkel', 'pairs', 'in', 'crystal', 'lattice', 'thereby', 'inducing', 'controlled', 'nonmagnetic', 'point', 'like', 'scattering', 'centers', 'in', 'combination', 'with', 'london', 'penetration', 'depth', 'and', 'resistivity', 'measurements', 'the', 'irradiation', 'was', 'particularly', 'useful', 'as', 'a', 'phase', 'sensitive', 'probe', 'of', 'the', 'superconducting', 'order', 'parameter', 'in', 'iron', 'based', 'superconductors', 'lending', 'strongest', 'support', 'to', 'sign', 'changing', 's_pm', 'pairing', 'here', 'we', 'review', 'the', 'key', 'results', 'on', 'the', 'effect', 'of', 'electron', 'irradiation', 'in', 'ironbased', 'superconductors']] | [-0.13801863403137152, 0.24491601761605125, -0.017029370575522382, 0.07013601739735653, -0.10143065777917704, -0.18268284689014155, 0.1276593724017342, 0.3897234267493089, -0.2196863813449939, -0.2993536144246658, -0.025087805762887, -0.3443769053928554, -0.039811144769191745, 0.1969184040930122, 0.01988336511577169, 0.034630615698794526, -0.07834705508003632, -0.07577416160454353, -0.10741980101913214, -0.21890313101311526, 0.33254456356167794, 0.09543386589735746, 0.4029154977637033, 0.11945062148074309, -0.02674558265445133, 0.07077440455245475, 0.08244331107164422, 0.007143928048511346, -0.1420739993825555, 0.0634039115657409, 0.3011228886495034, -0.09999689814634621, 0.16424118454257647, -0.48402617615958055, -0.22785998815049727, 0.01784680934002002, 0.1419466469436884, 0.13776930917054414, -0.10955384247625867, -0.252745641246438, -0.00718856201817592, -0.1330252912764748, -0.1484532397116224, -0.09710367972031236, -0.008271943346286814, -0.01142976202070713, -0.26289605800062416, 0.05281496990472078, 0.029430997451612106, 0.109474204685539, -0.11490937004176278, -0.09708069749486943, -0.03294124920852482, -0.012714562003190318, 0.052154840792839725, 0.09195812894652287, 0.1931700225236515, -0.12340665579773485, -0.0673456693192323, 0.33427364056309067, -0.031649046684615316, -0.03498683514694373, 0.15181388243101537, -0.14056928520401318, -0.07594402633607387, 0.15624498440573611, 0.10924038650390382, 0.05097617153388759, -0.1462975833689173, 0.019577692041639238, -0.017731958772055804, 0.1867168915166985, 0.05728573935727278, 0.10805914955834547, 0.26660964734852316, 0.23695448073248068, 0.034468289191524185, 0.12345151176365714, -0.16326272589154542, 0.009678245186805726, -0.20812474569305778, -0.17272463733019927, -0.19041689846664667, 0.04583278710022569, -0.03895342818752397, -0.17964773782218496, 0.3638545787831147, 0.20663763033226132, 0.19228342504551013, -0.17096569382896026, 0.24420496594160795, 0.09399701624798278, 0.09931578322624167, 0.008393135516283413, 0.20898777386794487, 0.17170524660497904, 0.1146325678875049, -0.32174838305606196, 0.1368926736402015, 0.010368695706129074] |
1,803.01957 | Widefield imaging of superconductor vortices with electron spins in
diamond | Understanding the mechanisms behind high-$T_{c}$ Type-II superconductors (SC)
is still an open task in condensed matter physics. One way to gain further
insight into the microscopic mechanisms leading to superconductivity is to
study the magnetic properties of the SC in detail, for example by studying the
properties of vortices and their dynamics. In this work we describe a new
method of wide-field imaging magnetometry using nitrogen-vacancy (NV) centers
in diamond to image vortices in an yttrium barium copper oxide (YBCO) thin
film. We demonstrate quantitative determination of the magnetic field strength
of the vortex stray field, the observation of vortex patterns for different
cooling fields and direct observation of vortex pinning in our disordered YBCO
film. This method opens prospects for imaging of the magnetic-stray fields of
vortices at frequencies from DC to several megahertz within a wide range of
temperatures which allows for the study of both high-$T_{C}$ and low-$T_{C}$
SCs. The wide temperature range allowed by NV center magnetometry also makes
our approach applicable for the study of phenomena like island
superconductivity at elevated temperatures (e.g. in metal nano-clusters).
| cond-mat.supr-con cond-mat.mes-hall | understanding the mechanisms behind hight_c typeii superconductors sc is still an open task in condensed matter physics one way to gain further insight into the microscopic mechanisms leading to superconductivity is to study the magnetic properties of the sc in detail for example by studying the properties of vortices and their dynamics in this work we describe a new method of widefield imaging magnetometry using nitrogenvacancy nv centers in diamond to image vortices in an yttrium barium copper oxide ybco thin film we demonstrate quantitative determination of the magnetic field strength of the vortex stray field the observation of vortex patterns for different cooling fields and direct observation of vortex pinning in our disordered ybco film this method opens prospects for imaging of the magneticstray fields of vortices at frequencies from dc to several megahertz within a wide range of temperatures which allows for the study of both hight_c and lowt_c scs the wide temperature range allowed by nv center magnetometry also makes our approach applicable for the study of phenomena like island superconductivity at elevated temperatures eg in metal nanoclusters | [['understanding', 'the', 'mechanisms', 'behind', 'hight_c', 'typeii', 'superconductors', 'sc', 'is', 'still', 'an', 'open', 'task', 'in', 'condensed', 'matter', 'physics', 'one', 'way', 'to', 'gain', 'further', 'insight', 'into', 'the', 'microscopic', 'mechanisms', 'leading', 'to', 'superconductivity', 'is', 'to', 'study', 'the', 'magnetic', 'properties', 'of', 'the', 'sc', 'in', 'detail', 'for', 'example', 'by', 'studying', 'the', 'properties', 'of', 'vortices', 'and', 'their', 'dynamics', 'in', 'this', 'work', 'we', 'describe', 'a', 'new', 'method', 'of', 'widefield', 'imaging', 'magnetometry', 'using', 'nitrogenvacancy', 'nv', 'centers', 'in', 'diamond', 'to', 'image', 'vortices', 'in', 'an', 'yttrium', 'barium', 'copper', 'oxide', 'ybco', 'thin', 'film', 'we', 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1,803.01958 | Loading Classical Data into a Quantum Computer | This document describes a family of quantum circuits which load classical
data into a quantum state. When loading $N$ classical bits, the result quantum
state is of order $\log_2(N)$ qubits. Furthermore the gate depth of the data
loading circuit is of order $\log_2(N)$. Limitations to the efficiency of the
data loading process such as the Holevo bound are discussed. Methods to improve
the efficiency of the data loading procedure such as combining classical
compression techniques with quantum decompression circuitry, are also
discussed. Simulations using the Quipper language were conducted to verify the
circuits behavior.
| quant-ph | this document describes a family of quantum circuits which load classical data into a quantum state when loading n classical bits the result quantum state is of order log_2n qubits furthermore the gate depth of the data loading circuit is of order log_2n limitations to the efficiency of the data loading process such as the holevo bound are discussed methods to improve the efficiency of the data loading procedure such as combining classical compression techniques with quantum decompression circuitry are also discussed simulations using the quipper language were conducted to verify the circuits behavior | [['this', 'document', 'describes', 'a', 'family', 'of', 'quantum', 'circuits', 'which', 'load', 'classical', 'data', 'into', 'a', 'quantum', 'state', 'when', 'loading', 'n', 'classical', 'bits', 'the', 'result', 'quantum', 'state', 'is', 'of', 'order', 'log_2n', 'qubits', 'furthermore', 'the', 'gate', 'depth', 'of', 'the', 'data', 'loading', 'circuit', 'is', 'of', 'order', 'log_2n', 'limitations', 'to', 'the', 'efficiency', 'of', 'the', 'data', 'loading', 'process', 'such', 'as', 'the', 'holevo', 'bound', 'are', 'discussed', 'methods', 'to', 'improve', 'the', 'efficiency', 'of', 'the', 'data', 'loading', 'procedure', 'such', 'as', 'combining', 'classical', 'compression', 'techniques', 'with', 'quantum', 'decompression', 'circuitry', 'are', 'also', 'discussed', 'simulations', 'using', 'the', 'quipper', 'language', 'were', 'conducted', 'to', 'verify', 'the', 'circuits', 'behavior']] | [-0.13520963969541358, 0.12516305528264096, -0.034997630586966554, 0.010986021856200403, -0.01431334355568632, -0.18031337953350962, 0.09964630233639098, 0.3441730898091609, -0.27790365706970716, -0.33316087603886074, 0.11690978082070286, -0.2731605000952457, -0.09816323344823608, 0.25755426513546326, -0.06781050335972551, 0.1771897560659241, 0.07510597179544733, 0.040796472770261, -0.052483658727377334, -0.33296928735588616, 0.239586028567654, 0.08718061362432832, 0.35998904039251045, 0.006500030392186439, 0.07008556714479594, -0.04500746329691499, 0.04445990001624252, -0.03802439261802492, -0.1253470059117659, 0.1084084472559551, 0.2736370776992965, 0.19026820240245063, 0.22011907416039167, -0.47198346403843544, -0.21648844807071888, 0.0524587616314517, 0.09990013096521193, 0.16156508946825968, -0.0239278367730452, -0.2573547977359688, 0.07594934988648017, -0.16282940302737692, -0.06129210123772475, -0.09106452856212854, -0.007621142240439324, 0.022365516940864954, -0.25312861341344034, 0.039277812175915895, 0.11980044265634361, 0.05325521510887019, 0.02239736901259327, -0.09852500630176052, 0.06078993249684572, 0.12487284393833722, -0.04503239657106918, 0.00916892148435433, 0.19089460732078456, -0.1340878469785279, -0.17652339800360037, 0.3628838058193264, 0.006545669679094026, -0.16551093586740342, 0.12731955348058266, -0.04768458050873844, -0.06984950129210235, 0.0698120591213352, 0.15971280909836927, 0.04524290572079097, -0.14137915651480534, 0.07658887145287813, 0.030640384796610538, 0.2135054358736949, 0.06865093822373038, 0.07110228946313579, 0.1015739169447346, 0.17925760814018468, 0.01664217215705108, 0.22684906748807096, -0.08495209591978407, -0.1277061188841199, -0.2918988466659125, -0.205318023478538, -0.23156313338574577, 0.06403939334051485, -0.09454021571412127, -0.12346862885169685, 0.34273012015136317, 0.15535827314647094, 0.17367412476859828, 0.05168700977748735, 0.3565775051395944, 0.1368011971266861, 0.07642861584726562, 0.06562166284036605, 0.1700649314938965, 0.1641982199173381, 0.07603490450716716, -0.2641507277260237, 0.04735158653335368, 0.03899689493799939] |
1,803.01959 | Compact Discrete Breathers on Flat Band Networks | Linear wave equations on flat band networks host compact localized
eigenstates (CLS). Nonlinear wave equations on translationally invariant flat
band networks can host compact discrete breathers - time periodic and spatially
compact localized solutions. Such solutions can appear as one-parameter
families of continued linear compact eigenstates, or as discrete sets on
families of non-compact discrete breathers, or even on purely dispersive
networks with fine-tuned nonlinear dispersion. In all cases, their existence
relies on destructive interference. We use CLS amplitude distribution
properties and orthogonality conditions to derive existence criteria and
stability properties for compact discrete breathers as continued CLS.
| nlin.PS | linear wave equations on flat band networks host compact localized eigenstates cls nonlinear wave equations on translationally invariant flat band networks can host compact discrete breathers time periodic and spatially compact localized solutions such solutions can appear as oneparameter families of continued linear compact eigenstates or as discrete sets on families of noncompact discrete breathers or even on purely dispersive networks with finetuned nonlinear dispersion in all cases their existence relies on destructive interference we use cls amplitude distribution properties and orthogonality conditions to derive existence criteria and stability properties for compact discrete breathers as continued cls | [['linear', 'wave', 'equations', 'on', 'flat', 'band', 'networks', 'host', 'compact', 'localized', 'eigenstates', 'cls', 'nonlinear', 'wave', 'equations', 'on', 'translationally', 'invariant', 'flat', 'band', 'networks', 'can', 'host', 'compact', 'discrete', 'breathers', 'time', 'periodic', 'and', 'spatially', 'compact', 'localized', 'solutions', 'such', 'solutions', 'can', 'appear', 'as', 'oneparameter', 'families', 'of', 'continued', 'linear', 'compact', 'eigenstates', 'or', 'as', 'discrete', 'sets', 'on', 'families', 'of', 'noncompact', 'discrete', 'breathers', 'or', 'even', 'on', 'purely', 'dispersive', 'networks', 'with', 'finetuned', 'nonlinear', 'dispersion', 'in', 'all', 'cases', 'their', 'existence', 'relies', 'on', 'destructive', 'interference', 'we', 'use', 'cls', 'amplitude', 'distribution', 'properties', 'and', 'orthogonality', 'conditions', 'to', 'derive', 'existence', 'criteria', 'and', 'stability', 'properties', 'for', 'compact', 'discrete', 'breathers', 'as', 'continued', 'cls']] | [-0.23073064466727147, 0.13309114973646463, -0.03813534736460478, 0.1331737985421625, -0.12461602497010578, -0.1479880341338282, 0.018572518268369677, 0.42582202153568416, -0.20159983988515265, -0.1629106357487245, 0.1669669051633034, -0.26226720467363435, -0.1459193418052086, 0.17335497896839894, 0.0009793880798844334, 0.1151770728774676, 0.08877623654402715, -0.03694048810980676, -0.09680599984520874, -0.18447587447068126, 0.37361826476900234, -0.05768701272834208, 0.27785086005772514, -0.03140318789279338, 0.06631720462602746, 0.006054640862821918, 0.012232511889995988, -0.05015219760608704, -0.11478670070082256, 0.04995207050719212, 0.23758184210848562, 0.016245053327383147, 0.2006911404968537, -0.454080763378555, -0.2575283056969956, 0.15183123036950213, 0.18045552101792747, 0.09106719699333009, -0.039323406592827556, -0.3943437890140052, 0.04074998326676408, -0.07323653887496474, -0.24415656173908987, -0.136836524301487, 0.02233269922051233, 0.08806589161305084, -0.2193075393893055, 0.16932589316123076, 0.051896732281317415, 0.010636813199320404, -0.11171007368079934, -0.055071390723598374, -0.1413564436598537, 0.0292454609676197, -0.03676528825914276, -0.08581291580783952, 0.06474421504097655, -0.037938361601020716, -0.12148608512619567, 0.36426567941059157, -0.10729208460903351, -0.2854872242422755, 0.27547563178483975, -0.09351077354777143, -0.11898278277223334, 0.17929847743458202, 0.2640283929145674, 0.11949592486945625, -0.1105098503284137, 0.09513188086116456, -0.0660471419810399, 0.18404460429530783, 0.1529881925197299, 0.15489564293553842, 0.2351061549114505, 0.0847211852381678, 0.12283710404131178, 0.09109062170033756, 0.010858464350002175, -0.09237212934963328, -0.2822917302561559, -0.016839216050413466, -0.1757265935644757, 0.10722284581237376, -0.08681951308597152, -0.27974632849014297, 0.41738972263698726, -0.05884957618857782, 0.10332988767126172, 0.10242910230455478, 0.17413137297712497, 0.16116040932931505, 0.01760863731749513, 0.09582345789663263, 0.1906755713520322, 0.17508628708310425, 0.03864275967491042, -0.19111422001931472, -0.09089498570370104, 0.11251872341081347] |
1,803.0196 | Thermodynamics of Restricted Boltzmann Machines and related learning
dynamics | We investigate the thermodynamic properties of a Restricted Boltzmann Machine
(RBM), a simple energy-based generative model used in the context of
unsupervised learning. Assuming the information content of this model to be
mainly reflected by the spectral properties of its weight matrix $W$, we try to
make a realistic analysis by averaging over an appropriate statistical ensemble
of RBMs.
First, a phase diagram is derived. Otherwise similar to that of the
Sherrington- Kirkpatrick (SK) model with ferromagnetic couplings, the RBM's
phase diagram presents a ferromagnetic phase which may or may not be of
compositional type depending on the kurtosis of the distribution of the
components of the singular vectors of $W$.
Subsequently, the learning dynamics of the RBM is studied in the
thermodynamic limit. A "typical" learning trajectory is shown to solve an
effective dynamical equation, based on the aforementioned ensemble average and
explicitly involving order parameters obtained from the thermodynamic analysis.
In particular, this let us show how the evolution of the dominant singular
values of $W$, and thus of the unstable modes, is driven by the input data. At
the beginning of the training, in which the RBM is found to operate in the
linear regime, the unstable modes reflect the dominant covariance modes of the
data. In the non-linear regime, instead, the selected modes interact and
eventually impose a matching of the order parameters to their empirical
counterparts estimated from the data.
Finally, we illustrate our considerations by performing experiments on both
artificial and real data, showing in particular how the RBM operates in the
ferromagnetic compositional phase.
| cond-mat.dis-nn cond-mat.stat-mech cs.LG | we investigate the thermodynamic properties of a restricted boltzmann machine rbm a simple energybased generative model used in the context of unsupervised learning assuming the information content of this model to be mainly reflected by the spectral properties of its weight matrix w we try to make a realistic analysis by averaging over an appropriate statistical ensemble of rbms first a phase diagram is derived otherwise similar to that of the sherrington kirkpatrick sk model with ferromagnetic couplings the rbms phase diagram presents a ferromagnetic phase which may or may not be of compositional type depending on the kurtosis of the distribution of the components of the singular vectors of w subsequently the learning dynamics of the rbm is studied in the thermodynamic limit a typical learning trajectory is shown to solve an effective dynamical equation based on the aforementioned ensemble average and explicitly involving order parameters obtained from the thermodynamic analysis in particular this let us show how the evolution of the dominant singular values of w and thus of the unstable modes is driven by the input data at the beginning of the training in which the rbm is found to operate in the linear regime the unstable modes reflect the dominant covariance modes of the data in the nonlinear regime instead the selected modes interact and eventually impose a matching of the order parameters to their empirical counterparts estimated from the data finally we illustrate our considerations by performing experiments on both artificial and real data showing in particular how the rbm operates in the ferromagnetic compositional phase | [['we', 'investigate', 'the', 'thermodynamic', 'properties', 'of', 'a', 'restricted', 'boltzmann', 'machine', 'rbm', 'a', 'simple', 'energybased', 'generative', 'model', 'used', 'in', 'the', 'context', 'of', 'unsupervised', 'learning', 'assuming', 'the', 'information', 'content', 'of', 'this', 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1,803.01961 | Bouncing Cosmology made simple | We introduce the "wedge diagram," an intuitive way to illustrate how
cosmological models with a classical (non-singular) bounce generically resolve
fundamental problems in cosmology. These include the well-known horizon,
flatness, and inhomogeneity problems; the small tensor-to-scalar ratio observed
in the cosmic microwave background; the low entropy at the beginning of a hot,
expanding phase; and the avoidance of quantum runaway. The same diagrammatic
approach can be used to compare with other cosmological scenarios.
| astro-ph.CO gr-qc | we introduce the wedge diagram an intuitive way to illustrate how cosmological models with a classical nonsingular bounce generically resolve fundamental problems in cosmology these include the wellknown horizon flatness and inhomogeneity problems the small tensortoscalar ratio observed in the cosmic microwave background the low entropy at the beginning of a hot expanding phase and the avoidance of quantum runaway the same diagrammatic approach can be used to compare with other cosmological scenarios | [['we', 'introduce', 'the', 'wedge', 'diagram', 'an', 'intuitive', 'way', 'to', 'illustrate', 'how', 'cosmological', 'models', 'with', 'a', 'classical', 'nonsingular', 'bounce', 'generically', 'resolve', 'fundamental', 'problems', 'in', 'cosmology', 'these', 'include', 'the', 'wellknown', 'horizon', 'flatness', 'and', 'inhomogeneity', 'problems', 'the', 'small', 'tensortoscalar', 'ratio', 'observed', 'in', 'the', 'cosmic', 'microwave', 'background', 'the', 'low', 'entropy', 'at', 'the', 'beginning', 'of', 'a', 'hot', 'expanding', 'phase', 'and', 'the', 'avoidance', 'of', 'quantum', 'runaway', 'the', 'same', 'diagrammatic', 'approach', 'can', 'be', 'used', 'to', 'compare', 'with', 'other', 'cosmological', 'scenarios']] | [-0.11581557596178904, 0.13904006494235482, -0.12575637238508422, 0.12630090476587824, -0.0966028221213093, -0.1516908071169706, -0.045816577565920065, 0.29973536913525567, -0.29129345271072976, -0.28504975456489273, 0.07131048622828182, -0.24171576649907414, -0.09791391226144074, 0.18112249333373182, -0.07489708946277834, 0.037941028555370356, 0.024732481177947293, 0.002478038126679316, -0.07114328350233909, -0.2700034210853891, 0.3309139587648519, 0.1320599131589143, 0.257747420798732, 0.047100018097521505, 0.07437986477392994, -0.08498099937473666, -0.03385028469516602, 0.06591405816797218, -0.1954356574083436, 0.034948180145775415, 0.24294309407594808, 0.14973687825880766, 0.20953049125430517, -0.42613074888972796, -0.2815405929665247, 0.13647067365683105, 0.15563931403209597, 0.15198749986302573, -0.04584599651192149, -0.2733037801689073, 0.04646875531961248, -0.17908196562378068, -0.16596749015726558, -0.02675305264491639, -0.05523209350362216, -0.0545485232994981, -0.18899100530280233, 0.13396870277260672, -0.03368460966197595, -0.03660608922475821, -0.029947511054422348, -0.04432827859083573, 0.03058684601971548, 0.07701208599371044, 0.05068645017757399, 0.004589533044203912, 0.13656758865953922, -0.12753782142910544, -0.13184751131354946, 0.4116505816170614, -0.10200663038516698, -0.11868990332602639, 0.18604020890460848, -0.17129876727416907, -0.12193153921055468, 0.08917080180094361, 0.11707607120887874, 0.09747630049002497, -0.08653514366596937, 0.13615803654211547, 0.06187402840372022, 0.13216520320904784, 0.10431534314706717, 0.007338277957312865, 0.34339006561530777, 0.10359028836533632, 0.05168027649569797, 0.13331316473928906, -0.06491546025372123, -0.12009909736273224, -0.3534813597591033, -0.08717878529010978, -0.11531366905267669, 0.04956546241468559, -0.2189589748155064, -0.2213399993536407, 0.340886134207759, 0.191371395835519, 0.21931990158221085, 0.014884838824836563, 0.3371187729684457, 0.08120745844096072, -0.004790000981102659, 0.058136077725315746, 0.2737222224831173, 0.14203087304246753, 0.13527040406646948, -0.25479281330098436, -0.015143746063623526, 0.04950785522081264] |
1,803.01962 | The relationship between Class I and Class II methanol masers at high
angular resolution | We have used the Australia Telescope Compact Array (ATCA) to make the first
high resolution observations of a large sample of class~I methanol masers in
the 95-GHz ($8_0$--$7_1$A$^+$) transition. The target sources consist of a
statistically complete sample of 6.7-GHz class~II methanol masers with an
associated 95-GHz class~I methanol maser, enabling a detailed study of the
relationship between the two methanol maser classes at arcsecond angular
resolution. These sources have been previously observed at high resolution in
the 36- and 44-GHz transitions, allowing comparison between all three class~I
maser transitions. In total, 172 95-GHz maser components were detected across
the 32 target sources. We find that at high resolution, when considering
matched maser components, a 3:1 flux density ratio is observed between the 95-
and 44-GHz components, consistent with a number of previous lower angular
resolution studies. The 95-GHz maser components appear to be preferentially
located closer to the driving sources and this may indicate that this
transition is more strongly inverted nearby to background continuum sources. We
do not observe an elevated association rate between 95-GHz maser emission and
more evolved sources, as indicated by the presence of 12.2-GHz class~II masers.
We find that in the majority of cases where both class~I and class~II methanol
emission is observed, some component of the class~I emission is associated with
a likely outflow candidate.
| astro-ph.GA | we have used the australia telescope compact array atca to make the first high resolution observations of a large sample of classi methanol masers in the 95ghz 8_07_1a transition the target sources consist of a statistically complete sample of 67ghz classii methanol masers with an associated 95ghz classi methanol maser enabling a detailed study of the relationship between the two methanol maser classes at arcsecond angular resolution these sources have been previously observed at high resolution in the 36 and 44ghz transitions allowing comparison between all three classi maser transitions in total 172 95ghz maser components were detected across the 32 target sources we find that at high resolution when considering matched maser components a 31 flux density ratio is observed between the 95 and 44ghz components consistent with a number of previous lower angular resolution studies the 95ghz maser components appear to be preferentially located closer to the driving sources and this may indicate that this transition is more strongly inverted nearby to background continuum sources we do not observe an elevated association rate between 95ghz maser emission and more evolved sources as indicated by the presence of 122ghz classii masers we find that in the majority of cases where both classi and classii methanol emission is observed some component of the classi emission is associated with a likely outflow candidate | [['we', 'have', 'used', 'the', 'australia', 'telescope', 'compact', 'array', 'atca', 'to', 'make', 'the', 'first', 'high', 'resolution', 'observations', 'of', 'a', 'large', 'sample', 'of', 'classi', 'methanol', 'masers', 'in', 'the', '95ghz', '8_07_1a', 'transition', 'the', 'target', 'sources', 'consist', 'of', 'a', 'statistically', 'complete', 'sample', 'of', '67ghz', 'classii', 'methanol', 'masers', 'with', 'an', 'associated', '95ghz', 'classi', 'methanol', 'maser', 'enabling', 'a', 'detailed', 'study', 'of', 'the', 'relationship', 'between', 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1,803.01963 | An Accurate and Efficient Algorithm for The Time-fractional Molecular
Beam Epitaxy Model with Slope Selection | In this paper, we propose a time-fractional molecular beam epitaxy (MBE)
model with slope selection and its efficient, accurate, full discrete, linear
numerical approximation. The numerical scheme utilizes the fast algorithm for
the Caputo fractional derivative operator in time discretization and Fourier
spectral method in spatial discretization. Refinement tests are conducted to
verify the $2-\alpha$ order of time convergence, with $\alpha \in (0, 1]$ the
fractional order of derivative. Several numerical simulations are presented to
demonstrate the accuracy and efficiency of our newly proposed scheme. By
exploring the fast algorithm calculating the Caputo fractional derivative, our
numerical scheme makes it practice for long time simulation of MBE coarsening,
which is essential for MBE model in practice. With the proposed fractional MBE
model, we observe that the scaling law for the energy decays as $
O(t^{-\frac{\alpha}{3}})$ and the roughness increases as
$O(t^{\frac{\alpha}{3}})$, during the coarsening dynamics with random initial
condition. That is to say, the coarsening rate of MBE model could be
manipulated by the fractional order $\alpha$, and it is linearly proportional
to $\alpha$. This is the first time in literature to report/discover such
scaling correlation. It provides a potential application field for fractional
differential equations. Besides, the numerical approximation strategy proposed
in this paper can be readily applied to study many classes of time-fractional
and high dimensional phase field models.
| math.NA | in this paper we propose a timefractional molecular beam epitaxy mbe model with slope selection and its efficient accurate full discrete linear numerical approximation the numerical scheme utilizes the fast algorithm for the caputo fractional derivative operator in time discretization and fourier spectral method in spatial discretization refinement tests are conducted to verify the 2alpha order of time convergence with alpha in 0 1 the fractional order of derivative several numerical simulations are presented to demonstrate the accuracy and efficiency of our newly proposed scheme by exploring the fast algorithm calculating the caputo fractional derivative our numerical scheme makes it practice for long time simulation of mbe coarsening which is essential for mbe model in practice with the proposed fractional mbe model we observe that the scaling law for the energy decays as otfracalpha3 and the roughness increases as otfracalpha3 during the coarsening dynamics with random initial condition that is to say the coarsening rate of mbe model could be manipulated by the fractional order alpha and it is linearly proportional to alpha this is the first time in literature to reportdiscover such scaling correlation it provides a potential application field for fractional differential equations besides the numerical approximation strategy proposed in this paper can be readily applied to study many classes of timefractional and high dimensional phase field models | [['in', 'this', 'paper', 'we', 'propose', 'a', 'timefractional', 'molecular', 'beam', 'epitaxy', 'mbe', 'model', 'with', 'slope', 'selection', 'and', 'its', 'efficient', 'accurate', 'full', 'discrete', 'linear', 'numerical', 'approximation', 'the', 'numerical', 'scheme', 'utilizes', 'the', 'fast', 'algorithm', 'for', 'the', 'caputo', 'fractional', 'derivative', 'operator', 'in', 'time', 'discretization', 'and', 'fourier', 'spectral', 'method', 'in', 'spatial', 'discretization', 'refinement', 'tests', 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1,803.01964 | Harmonic Analysis on the Ad\`ele Ring of $\Q$ | The ring of finite ad\`eles $\Af$ of the rational numbers $\Q$ is obtained in
this article as a completion of $\Q$ with respect to a certain non--Archimedean
metric. This ultrametric allows to represent any finite ad\`ele as a series
generalizing $m$--adic analysis. The description made provides a new
perspective for the adelic Fourier analysis on $\Af$, which also permits to
introduce new oscillatory integrals. By incorporating the infinite prime, the
mentioned results are extended to the complete ring of ad\`eles $\A$} of $\Q$.
| math.CA | the ring of finite adeles af of the rational numbers q is obtained in this article as a completion of q with respect to a certain nonarchimedean metric this ultrametric allows to represent any finite adele as a series generalizing madic analysis the description made provides a new perspective for the adelic fourier analysis on af which also permits to introduce new oscillatory integrals by incorporating the infinite prime the mentioned results are extended to the complete ring of adeles a of q | [['the', 'ring', 'of', 'finite', 'adeles', 'af', 'of', 'the', 'rational', 'numbers', 'q', 'is', 'obtained', 'in', 'this', 'article', 'as', 'a', 'completion', 'of', 'q', 'with', 'respect', 'to', 'a', 'certain', 'nonarchimedean', 'metric', 'this', 'ultrametric', 'allows', 'to', 'represent', 'any', 'finite', 'adele', 'as', 'a', 'series', 'generalizing', 'madic', 'analysis', 'the', 'description', 'made', 'provides', 'a', 'new', 'perspective', 'for', 'the', 'adelic', 'fourier', 'analysis', 'on', 'af', 'which', 'also', 'permits', 'to', 'introduce', 'new', 'oscillatory', 'integrals', 'by', 'incorporating', 'the', 'infinite', 'prime', 'the', 'mentioned', 'results', 'are', 'extended', 'to', 'the', 'complete', 'ring', 'of', 'adeles', 'a', 'of', 'q']] | [-0.21517467624171221, 0.06970254063651145, -0.16413601618316248, 0.05285915790696583, -0.12522294493504318, -0.10193262143195214, 0.016594513947794955, 0.2811307619628777, -0.29908950346892316, -0.18571345718838386, 0.0712193756557844, -0.21188705760991924, -0.12315844254096947, 0.22061010898954897, -0.09244521579379777, 0.004301999047600541, -0.011179853572947792, 0.12964916708374238, -0.11623779811941266, -0.26338278399836496, 0.356068007883627, 0.013454173994531115, 0.21074172018477358, 0.0029497553470982127, 0.10119432911097286, 0.07593956701625812, -0.06877203059034893, 0.03430796727392239, -0.16121431038411985, 0.17251147572175565, 0.33342227474393615, 0.07422913598031344, 0.2651146922080991, -0.3574799477201269, -0.17810464555016123, 0.15147198955472335, 0.15129482519465037, 0.026821015634102725, -0.0033193482633074186, -0.2790928028905428, 0.13015195010342154, -0.22515010388276305, -0.1685850540237748, -0.1260147447563169, 0.03711340290281069, 0.04630241079076407, -0.31596128869779316, -0.03633675940583056, 0.11795371849404042, 0.15709684997886778, -0.07047225067080616, -0.08913642355992672, 0.04200656212731657, 0.08856074310311801, -0.011202106033507958, 0.07538911933079362, 0.04424375060564244, -0.045103737983448675, -0.12191156390493355, 0.36858660965619316, -0.09326039059003478, -0.17732961350176707, 0.12787422198936882, -0.17786958102832537, -0.10782332417095103, 0.14294421816025918, 0.10931957200034914, 0.1270101555365037, -0.05582008054143334, 0.17752420554408826, -0.11460399878469396, 0.08036985809925988, 0.06809430212029312, 0.024495719260878367, 0.1552375644916691, 0.09774332457637212, 0.06275138248905472, 0.20411073140721453, -0.008654573435771716, -0.07534572449568884, -0.37776872712357185, -0.1762523084797571, -0.13738238621862178, 0.11969261815075774, -0.10752596624240458, -0.22431359799152398, 0.4146037635629077, 0.09983032880104091, 0.20633425812113537, 0.08385090677050806, 0.2516525984427566, 0.08475209021637867, 0.05747134721534977, -0.010837647323328328, 0.08759747469427445, 0.20865077708556082, 0.033546546591917074, -0.1510586039589561, -0.031198142525594098, 0.15809963300195803] |
1,803.01965 | Supercurrent in ferromagnetic Josephson junctions with heavy metal
interlayers | The lengthscale over which supercurrent from conventional BCS, $s$-wave,
superconductors ($S$) can penetrate an adjacent ferromagnetic ($F$) layer
depends on the ability to convert singlet Cooper pairs into triplet Cooper
pairs. Spin aligned triplet Cooper pairs are not dephased by the ferromagnetic
exchange interaction, and can thus penetrate an $F$ layer over much longer
distances than singlet Cooper pairs. These triplet Cooper pairs carry a
dissipationless spin current and are the fundamental building block for the
fledgling field of superspintronics. Singlet-triplet conversion by
inhomogeneous magnetism is well established. Here, we describe an attempt to
use spin orbit coupling as a new mechanism to mediate singlet-triplet
conversion in $S-F-S$ Josephson junctions. We report that the addition of thin
Pt spin-orbit coupling layers in our Josephson junctions significantly
increases supercurrent transmission, however the decay length of the
supercurrent is not found to increase. We attribute the increased supercurrent
transmission to Pt acting as a buffer layer to improve the growth of the Co $F$
layer.
| cond-mat.supr-con | the lengthscale over which supercurrent from conventional bcs swave superconductors s can penetrate an adjacent ferromagnetic f layer depends on the ability to convert singlet cooper pairs into triplet cooper pairs spin aligned triplet cooper pairs are not dephased by the ferromagnetic exchange interaction and can thus penetrate an f layer over much longer distances than singlet cooper pairs these triplet cooper pairs carry a dissipationless spin current and are the fundamental building block for the fledgling field of superspintronics singlettriplet conversion by inhomogeneous magnetism is well established here we describe an attempt to use spin orbit coupling as a new mechanism to mediate singlettriplet conversion in sfs josephson junctions we report that the addition of thin pt spinorbit coupling layers in our josephson junctions significantly increases supercurrent transmission however the decay length of the supercurrent is not found to increase we attribute the increased supercurrent transmission to pt acting as a buffer layer to improve the growth of the co f layer | [['the', 'lengthscale', 'over', 'which', 'supercurrent', 'from', 'conventional', 'bcs', 'swave', 'superconductors', 's', 'can', 'penetrate', 'an', 'adjacent', 'ferromagnetic', 'f', 'layer', 'depends', 'on', 'the', 'ability', 'to', 'convert', 'singlet', 'cooper', 'pairs', 'into', 'triplet', 'cooper', 'pairs', 'spin', 'aligned', 'triplet', 'cooper', 'pairs', 'are', 'not', 'dephased', 'by', 'the', 'ferromagnetic', 'exchange', 'interaction', 'and', 'can', 'thus', 'penetrate', 'an', 'f', 'layer', 'over', 'much', 'longer', 'distances', 'than', 'singlet', 'cooper', 'pairs', 'these', 'triplet', 'cooper', 'pairs', 'carry', 'a', 'dissipationless', 'spin', 'current', 'and', 'are', 'the', 'fundamental', 'building', 'block', 'for', 'the', 'fledgling', 'field', 'of', 'superspintronics', 'singlettriplet', 'conversion', 'by', 'inhomogeneous', 'magnetism', 'is', 'well', 'established', 'here', 'we', 'describe', 'an', 'attempt', 'to', 'use', 'spin', 'orbit', 'coupling', 'as', 'a', 'new', 'mechanism', 'to', 'mediate', 'singlettriplet', 'conversion', 'in', 'sfs', 'josephson', 'junctions', 'we', 'report', 'that', 'the', 'addition', 'of', 'thin', 'pt', 'spinorbit', 'coupling', 'layers', 'in', 'our', 'josephson', 'junctions', 'significantly', 'increases', 'supercurrent', 'transmission', 'however', 'the', 'decay', 'length', 'of', 'the', 'supercurrent', 'is', 'not', 'found', 'to', 'increase', 'we', 'attribute', 'the', 'increased', 'supercurrent', 'transmission', 'to', 'pt', 'acting', 'as', 'a', 'buffer', 'layer', 'to', 'improve', 'the', 'growth', 'of', 'the', 'co', 'f', 'layer']] | [-0.23781883715433472, 0.21266239246216612, 0.039476618305837485, 0.050744391154256406, -0.08146320868795162, -0.18007079603001017, 0.06622513932072455, 0.3869886616055198, -0.2779778631369549, -0.2754964650418885, -0.09519159153138322, -0.30712671343950027, -0.025576760479318048, 0.14659561174576757, 0.07609704526480471, -0.041757992508298036, -0.03758662924843116, -0.038934812524620395, -0.08636511766414998, -0.24006305145168746, 0.3153458113586645, -0.03227144923854481, 0.36778819822579806, 0.10242416495442919, 0.009865890191307429, 0.008024673443287611, 0.1402502655753015, -0.07530580875808718, -0.11516790519229368, 0.03852453624355725, 0.24772895189946414, -0.08332916075237279, 0.16917477052566815, -0.5202316923216446, -0.1897805908998118, 0.06460324958840638, 0.235714138623465, 0.1581927647111351, -0.010232110434487738, -0.2847209849026928, 0.05727029706489433, -0.19877121584737145, -0.038308299369362676, -0.05203086182469341, 0.007845096769426478, -0.03623579033646146, -0.30754137638974993, 0.058541321474483904, 0.12185837343021837, 0.029665916133384554, 0.006559426429175576, -0.0831841583892611, -0.1401980435317612, 0.04284223809803801, 0.043754774505088544, 0.0712071461689279, 0.17596287102105074, -0.12733996015639953, -0.10837939805868599, 0.2345391483316313, -0.10055919860701298, -0.12090793602961909, 0.1457588006656065, -0.09343517616996254, 0.031589772603093695, 0.14081188177770396, 0.10483531680254174, 0.10303952336529798, -0.14839148236852553, 0.029004884497866174, -0.04499240480018435, 0.20792696668685953, 0.06805109995400051, 0.11447818294730912, 0.3044730635650203, 0.19274434195558346, 0.08123843127288166, 0.12211973801899104, -0.14455856614958862, -0.07221213696570492, -0.24731220987935862, -0.20205636979741862, -0.2065732367667312, 0.09008837380050538, 0.014577518502016046, -0.1440339389855019, 0.3862764961603615, 0.17291863770281643, 0.22901672151882524, -0.04789311695128196, 0.25550106575390624, 0.10640642261003247, 0.17385186494707508, 0.014550732215866446, 0.24657956994840025, 0.2038150782284419, 0.08119703430754642, -0.3161576208701633, 0.06726226929782166, 0.016728982566510914] |
1,803.01966 | Secure Minimum Time Planning Under Environmental Uncertainty: an
Extended Treatment | Cyber Physical Systems (CPS) are becoming ubiquitous and affect the physical
world, yet security is seldom at the forefront of their design. This is
especially true of robotic control algorithms which seldom consider the effect
of a cyber attack on mission objectives and success. This work presents a
secure optimal control algorithm in the face of a cyber attack on a robot's
knowledge of the environment. This work focuses on cyber attack, but the
results generalize to incomplete or outdated information of an environment.
This work fuses ideas from robust control, optimal control, and sensor based
planning to provide a generalization of stopping distance in 3D. The planner is
implemented in simulation and its properties are analyzed.
| cs.RO | cyber physical systems cps are becoming ubiquitous and affect the physical world yet security is seldom at the forefront of their design this is especially true of robotic control algorithms which seldom consider the effect of a cyber attack on mission objectives and success this work presents a secure optimal control algorithm in the face of a cyber attack on a robots knowledge of the environment this work focuses on cyber attack but the results generalize to incomplete or outdated information of an environment this work fuses ideas from robust control optimal control and sensor based planning to provide a generalization of stopping distance in 3d the planner is implemented in simulation and its properties are analyzed | [['cyber', 'physical', 'systems', 'cps', 'are', 'becoming', 'ubiquitous', 'and', 'affect', 'the', 'physical', 'world', 'yet', 'security', 'is', 'seldom', 'at', 'the', 'forefront', 'of', 'their', 'design', 'this', 'is', 'especially', 'true', 'of', 'robotic', 'control', 'algorithms', 'which', 'seldom', 'consider', 'the', 'effect', 'of', 'a', 'cyber', 'attack', 'on', 'mission', 'objectives', 'and', 'success', 'this', 'work', 'presents', 'a', 'secure', 'optimal', 'control', 'algorithm', 'in', 'the', 'face', 'of', 'a', 'cyber', 'attack', 'on', 'a', 'robots', 'knowledge', 'of', 'the', 'environment', 'this', 'work', 'focuses', 'on', 'cyber', 'attack', 'but', 'the', 'results', 'generalize', 'to', 'incomplete', 'or', 'outdated', 'information', 'of', 'an', 'environment', 'this', 'work', 'fuses', 'ideas', 'from', 'robust', 'control', 'optimal', 'control', 'and', 'sensor', 'based', 'planning', 'to', 'provide', 'a', 'generalization', 'of', 'stopping', 'distance', 'in', '3d', 'the', 'planner', 'is', 'implemented', 'in', 'simulation', 'and', 'its', 'properties', 'are', 'analyzed']] | [-0.14841577174484283, 0.023012542675381616, -0.09089416644782719, 0.032677554168228984, -0.10023231107669954, -0.18851254414369026, 0.051516104455734804, 0.36963848336639565, -0.23762023030644935, -0.32826214899810463, 0.15990329758785507, -0.24890254890052682, -0.202083477909621, 0.20095209163438496, -0.19787738980868688, 0.11007313403593472, 0.030326812106192622, 0.02273800462891316, -0.002418318969589602, -0.2570874196035453, 0.3092904029668778, 0.074524632607324, 0.3088139976816586, 0.062305053676136285, 0.10563430447593077, 0.026279503908446137, -0.04465881116891232, -0.01687125647520153, -0.09971660651310355, 0.16516646722920686, 0.3390408955418911, 0.22535538039385125, 0.3647780902683735, -0.42053515299295, -0.1946392697381636, 0.06827929052404869, 0.1129702940209108, 0.09357193902306035, -0.04982398437937069, -0.33537202009246647, 0.0669774873337398, -0.1885384284119066, -0.09980629353299458, -0.036744391478988156, -0.011911269766875567, -0.004210893120457474, -0.23852076010507905, -0.04688249368113107, 0.057601676380229935, 0.11858499375767469, -0.06328977772997868, -0.06490350121425258, 0.03101900737020227, 0.1892787619577482, 0.019699268143536508, -0.011384238501907222, 0.22880750397841135, -0.14604264500144964, -0.17083777246089318, 0.3960859161825516, 0.08793795630375607, -0.19511330016176257, 0.18512001059129515, -0.023698863559442326, -0.1539383242215213, 0.0976896861460633, 0.2947621633593216, 0.1384839498374261, -0.20835067817352265, 0.05055391298742312, 0.0026011506939290934, 0.16638506049863422, -0.004074746512998946, 0.06079924912948129, 0.18999877364303058, 0.2583908466861034, 0.13793508143315458, 0.10721293414353879, -0.0363896176394107, -0.14555321830428308, -0.2166691325031794, -0.12364160576755674, -0.1859569044974752, 0.014615740225069288, -0.02127650922162331, -0.13397832712333682, 0.35842197428210676, 0.2629789520437137, 0.15069875927068865, 0.03762444128525149, 0.42538673400433147, 0.0053185212632848155, 0.021081721145484563, 0.10427977153275193, 0.26509429991611433, 0.02080180698311211, 0.15266183444943565, -0.17195856764924544, 0.1903796866038639, -0.017491010708224952] |
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