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1,801.10069 | A note on models for anomalous phase-change processes | We review some fractional free boundary problems that were recently
considered for modeling anomalous phase-transitions. All problems are of Stefan
type and involve fractional derivatives in time according to Caputo's
definition. We survey the assumptions from which they are obtained and observe
that the problems are nonequivalent though all of them reduce to a classical
Stefan problem when the order of the fractional derivatives is replaced by one.
We further show that a simple heuristic approach built upon a fractional
version of the energy balance and the classical Fourier's law leads to a
natural generalization of the classical Stefan problem in which time
derivatives are replaced by fractional ones.
| math.AP | we review some fractional free boundary problems that were recently considered for modeling anomalous phasetransitions all problems are of stefan type and involve fractional derivatives in time according to caputos definition we survey the assumptions from which they are obtained and observe that the problems are nonequivalent though all of them reduce to a classical stefan problem when the order of the fractional derivatives is replaced by one we further show that a simple heuristic approach built upon a fractional version of the energy balance and the classical fouriers law leads to a natural generalization of the classical stefan problem in which time derivatives are replaced by fractional ones | [['we', 'review', 'some', 'fractional', 'free', 'boundary', 'problems', 'that', 'were', 'recently', 'considered', 'for', 'modeling', 'anomalous', 'phasetransitions', 'all', 'problems', 'are', 'of', 'stefan', 'type', 'and', 'involve', 'fractional', 'derivatives', 'in', 'time', 'according', 'to', 'caputos', 'definition', 'we', 'survey', 'the', 'assumptions', 'from', 'which', 'they', 'are', 'obtained', 'and', 'observe', 'that', 'the', 'problems', 'are', 'nonequivalent', 'though', 'all', 'of', 'them', 'reduce', 'to', 'a', 'classical', 'stefan', 'problem', 'when', 'the', 'order', 'of', 'the', 'fractional', 'derivatives', 'is', 'replaced', 'by', 'one', 'we', 'further', 'show', 'that', 'a', 'simple', 'heuristic', 'approach', 'built', 'upon', 'a', 'fractional', 'version', 'of', 'the', 'energy', 'balance', 'and', 'the', 'classical', 'fouriers', 'law', 'leads', 'to', 'a', 'natural', 'generalization', 'of', 'the', 'classical', 'stefan', 'problem', 'in', 'which', 'time', 'derivatives', 'are', 'replaced', 'by', 'fractional', 'ones']] | [-0.07683193584511039, 0.09996734360455099, -0.07796477823766, 0.08208634246486761, -0.13501003277787102, -0.1465171227624657, 0.026895727006368202, 0.31208870515500736, -0.31503531994691136, -0.3222773540081508, 0.15821902838497157, -0.28425246993626613, -0.14647272575236514, 0.21140006816424772, -0.1102228539145697, 0.07460564291083313, 0.01072537002726159, 0.009327458550965567, -0.07888599843910357, -0.25853975084738445, 0.32897673547267914, -0.027047226598503393, 0.21194667585296642, 0.01943645523775608, 0.10811971866423178, -0.05387847439317597, -0.06061136179150791, 0.0700865853550484, -0.15843725702056496, 0.1091296686385032, 0.21218293425926102, 0.025910976631225113, 0.3029975685453333, -0.457182411360768, -0.26063351523677963, 0.09934601419255001, 0.06746125602325716, 0.07316936839397552, -0.0019358779397716215, -0.25929787733651904, 0.08229483862689466, -0.12135062035207354, -0.12396560141116107, -0.055560104224249854, 0.008775467907480143, 0.04653381677600769, -0.24037957105170424, 0.15274998614855043, 0.1036148697325806, -0.018267391009631123, -0.11152363940218993, -0.1455489004569111, 0.0349387194141062, 0.050361205212005045, 0.04920035479120363, -0.029105382155490304, 0.04409854413531379, -0.12519731686702595, -0.15550338312846804, 0.4036745255761737, -0.03005184754494304, -0.23581589172261025, 0.15332171221801993, -0.11362477477400675, -0.13084291882061083, 0.09917070911535053, 0.09179285821427993, 0.14697985147018414, -0.1671544482763013, 0.10001659531994304, -0.03222276150236129, 0.11271584102320015, 0.10008454308289727, 0.0011222088632575416, 0.12043817568604552, 0.08884538486044546, 0.1093414948501308, 0.16483614913298997, 0.0009786514733563425, -0.17273071112213742, -0.32600954998660525, -0.19355986694220043, -0.16752446500088916, 0.04825567216783284, -0.06148160908570398, -0.1617069997805504, 0.3493698006207465, 0.14791765966753842, 0.14605494590535964, 0.08096519818555119, 0.23152674919148103, 0.21629856039829756, 0.04604424276910381, 0.045321812289297034, 0.16633818115010524, 0.1148219892024618, 0.14519158369699203, -0.19161486075528888, 0.04420204583444385, 0.14447880664481483] |
1,801.1007 | An Analysis of the Convergence of Stochastic Lagrangian/Eulerian Spray
Simulations | This work derives how the convergence of stochastic Lagrangian/Eulerian
simulations depends on the number of computational parcels, particularly for
the case of spray modeling. A new, simple, formula is derived that can be used
for managing the numerical error in two or three dimensional computational
studies. For example, keeping the number of parcels per cell constant as the
mesh is refined yields an order one-half convergence rate in transient spray
simulations. First order convergence would require a doubling of the number of
parcels per cell when the cell size is halved. Second order convergence would
require increasing the number of parcels per cell by a factor of eight. The
results show that controlling statistical error requires dramatically larger
numbers of parcels than have typically been used, which explains why
convergence has been so elusive.
| physics.flu-dyn physics.comp-ph | this work derives how the convergence of stochastic lagrangianeulerian simulations depends on the number of computational parcels particularly for the case of spray modeling a new simple formula is derived that can be used for managing the numerical error in two or three dimensional computational studies for example keeping the number of parcels per cell constant as the mesh is refined yields an order onehalf convergence rate in transient spray simulations first order convergence would require a doubling of the number of parcels per cell when the cell size is halved second order convergence would require increasing the number of parcels per cell by a factor of eight the results show that controlling statistical error requires dramatically larger numbers of parcels than have typically been used which explains why convergence has been so elusive | [['this', 'work', 'derives', 'how', 'the', 'convergence', 'of', 'stochastic', 'lagrangianeulerian', 'simulations', 'depends', 'on', 'the', 'number', 'of', 'computational', 'parcels', 'particularly', 'for', 'the', 'case', 'of', 'spray', 'modeling', 'a', 'new', 'simple', 'formula', 'is', 'derived', 'that', 'can', 'be', 'used', 'for', 'managing', 'the', 'numerical', 'error', 'in', 'two', 'or', 'three', 'dimensional', 'computational', 'studies', 'for', 'example', 'keeping', 'the', 'number', 'of', 'parcels', 'per', 'cell', 'constant', 'as', 'the', 'mesh', 'is', 'refined', 'yields', 'an', 'order', 'onehalf', 'convergence', 'rate', 'in', 'transient', 'spray', 'simulations', 'first', 'order', 'convergence', 'would', 'require', 'a', 'doubling', 'of', 'the', 'number', 'of', 'parcels', 'per', 'cell', 'when', 'the', 'cell', 'size', 'is', 'halved', 'second', 'order', 'convergence', 'would', 'require', 'increasing', 'the', 'number', 'of', 'parcels', 'per', 'cell', 'by', 'a', 'factor', 'of', 'eight', 'the', 'results', 'show', 'that', 'controlling', 'statistical', 'error', 'requires', 'dramatically', 'larger', 'numbers', 'of', 'parcels', 'than', 'have', 'typically', 'been', 'used', 'which', 'explains', 'why', 'convergence', 'has', 'been', 'so', 'elusive']] | [-0.12886314469375718, 0.12106791439689019, -0.03047030481662768, 0.02619578820868715, -0.04216823719247286, -0.08817709251237449, 0.05860025668516755, 0.3162925984335146, -0.23944343944469385, -0.3370527930213694, 0.12715618577334029, -0.23957678604672955, -0.10350675634438616, 0.23898855536140556, -0.09527863022078996, 0.06410324401152667, 0.060307639432070195, 0.06396821915491749, -0.04244544844963213, -0.301282077235406, 0.2410738937984179, 0.09022280342230546, 0.2709355987538931, 0.024881306114787265, 0.0992915696262924, -0.0645702598623431, -0.03119307527415899, 0.06351690130905985, -0.12278482556369576, 0.11846226669496981, 0.19527967179840458, 0.12613188393358418, 0.35621563459176625, -0.46520408954638154, -0.2366914562185976, 0.10003473994377722, 0.23470984495904318, 0.12013308767406548, -0.04359000961647244, -0.14488379838667922, 0.10420152497019118, -0.16390318882568225, -0.13529235181926902, -0.08605556894760968, -0.0005140297997520486, 0.07277001171901043, -0.2695308834759157, 0.08851824820027757, 0.029552349966686608, 0.07223055752188857, -0.0035828084114994576, -0.1451831791383117, -0.015489694773594834, 0.1742317065722118, 0.06507612204217393, 0.009136022360467198, 0.13255375903447283, -0.10589394688072185, -0.08572113467119773, 0.41431679974880015, -0.013547984321637308, -0.24594026863741786, 0.17726620416323752, -0.16212829735838988, -0.1348023920306074, 0.222806731023506, 0.1666723044186052, 0.11160071604579354, -0.09723996191249497, 0.020359433575797437, -0.044992106785969946, 0.20674755802697767, 0.08581580865933601, -0.005080750106083257, 0.12761632307891302, 0.2269262052679768, 0.0936402831341265, 0.12317827722116777, -0.11702378014269382, -0.12479364271484204, -0.27922855086847026, -0.18510780884682743, -0.19731483945567438, 0.05222611487912598, -0.12696992774466193, -0.13053819997263932, 0.3444711427802025, 0.12308139430920233, 0.16109755036157014, 0.0818599939056144, 0.3116249331036833, 0.10779507672188303, 0.07183068408196402, 0.05956640880930224, 0.20476306783063197, 0.10984341490409101, 0.09913935842784817, -0.2073766765423178, 0.1315428648324711, 0.12123015201294364] |
1,801.10071 | The Helicoidal Method | This is an expository paper on the helicoidal method, a tool designed for
proving multiple vector-valued inequalities for operators in harmonic analysis,
which is based on stopping times and localizations. As it turns out, the local
estimate can be used for proving sparse domination for the scalar operator and
its multiple vector-valued extensions, and hence also weighted estimates.
| math.CA | this is an expository paper on the helicoidal method a tool designed for proving multiple vectorvalued inequalities for operators in harmonic analysis which is based on stopping times and localizations as it turns out the local estimate can be used for proving sparse domination for the scalar operator and its multiple vectorvalued extensions and hence also weighted estimates | [['this', 'is', 'an', 'expository', 'paper', 'on', 'the', 'helicoidal', 'method', 'a', 'tool', 'designed', 'for', 'proving', 'multiple', 'vectorvalued', 'inequalities', 'for', 'operators', 'in', 'harmonic', 'analysis', 'which', 'is', 'based', 'on', 'stopping', 'times', 'and', 'localizations', 'as', 'it', 'turns', 'out', 'the', 'local', 'estimate', 'can', 'be', 'used', 'for', 'proving', 'sparse', 'domination', 'for', 'the', 'scalar', 'operator', 'and', 'its', 'multiple', 'vectorvalued', 'extensions', 'and', 'hence', 'also', 'weighted', 'estimates']] | [-0.0607498265875118, 0.060137573736248104, -0.12137254783562546, 0.1421477953554131, -0.100991338656027, -0.13184621568833446, -0.014959596191805884, 0.3461451792832592, -0.28939594382998246, -0.22684688124291855, 0.19243452236144643, -0.24394733642613323, -0.17653576833505086, 0.2675741806080372, -0.06784840722985823, 0.07058825240980288, 0.041927497689451636, 0.05920097100195186, -0.04120460884838269, -0.2668746780475666, 0.3266007797471408, 0.05693840952429535, 0.2188316393796162, 0.09366925896530778, 0.09321862614938412, 0.06258505552300606, -0.08159186772937918, -0.018329328696789413, -0.10272969143336703, 0.17141110891604733, 0.2772427327481323, 0.1007787383097256, 0.32597436293445786, -0.40209664545696355, -0.1656890246728114, 0.18990173441325797, 0.16318935662475897, 0.02690664821521154, -0.0036584609268425867, -0.3128958460071991, 0.09716367956796854, -0.10897422096981056, -0.12962144834856534, -0.14684228467803193, -0.005673385070685041, 0.03238617025861709, -0.3826607410828101, 0.04060379529104905, 0.10018344506107528, 0.03553116753705424, -0.09887276116381238, -0.08807853785953645, 0.0405972123081828, 0.06688787397960651, 0.027289879018569302, 0.024974789205488974, 0.08476561947789943, -0.05125241955854641, -0.09565381942003773, 0.33282826352736045, -0.07545550326527707, -0.2508310982997626, 0.12041754243445807, -0.04388299415787232, -0.1595424539249005, 0.04899586587823156, 0.17693640779832315, 0.18468265990116473, -0.17262709314196273, 0.08848577173093558, -0.07470455963228798, 0.11626197201007142, 0.08425139655070059, 0.03603714505403206, 0.15458323381006203, 0.09945734803051014, 0.19217864767716522, 0.15033143561068474, -0.03851325825210018, -0.0671392269111399, -0.3320445412757871, -0.17960342170734858, -0.1722585172392428, 0.03606350938508544, -0.12048460803208431, -0.17032788157591533, 0.4153664956062004, 0.1085006923430824, 0.15552255827612405, 0.11408179123476468, 0.2595080707928744, 0.17187331682512666, 0.0566495613692778, 0.0548113476934618, 0.1640987230689618, 0.19280389248662436, 0.08190390510998409, -0.12834002811397457, 0.044924733036294066, 0.17682964756185637] |
1,801.10072 | Conway river and Arnold sail | We establish a simple relation between two geometric constructions in number
theory: the Conway river of a real indefinite binary quadratic form and the
Arnold sail of the corresponding pair of lines.
| math.NT | we establish a simple relation between two geometric constructions in number theory the conway river of a real indefinite binary quadratic form and the arnold sail of the corresponding pair of lines | [['we', 'establish', 'a', 'simple', 'relation', 'between', 'two', 'geometric', 'constructions', 'in', 'number', 'theory', 'the', 'conway', 'river', 'of', 'a', 'real', 'indefinite', 'binary', 'quadratic', 'form', 'and', 'the', 'arnold', 'sail', 'of', 'the', 'corresponding', 'pair', 'of', 'lines']] | [-0.208863511288655, 0.10431874556161347, -0.052851049113087356, 0.08279010863043368, -0.1064937239207211, -0.1349818067974411, 0.05255621111791697, 0.2805761629133485, -0.30992252472788095, -0.30171137188881403, 0.013563171316491207, -0.2648562123067677, -0.26789117499720305, 0.22576019022380933, -0.0754374535754323, 0.016273797547910362, 0.017045074557245243, 0.05257911287480965, -0.10644044939544983, -0.25527285094722174, 0.3134741336252773, -0.05229839285311755, 0.184784478165966, 0.038748776340071345, 0.11078165168873966, 0.00013986304111313075, -0.030500569409923628, -0.009966901256120764, -0.1307098429533653, 0.1735339456354268, 0.22192193125374615, 0.13102329755201936, 0.23721584619488567, -0.4148381390841678, -0.10160968088894151, 0.11483098994358443, 0.07340008724713698, 0.03344837738404749, -0.047167908487608656, -0.23174341909543728, 0.037768597936519654, -0.17154066660441458, -0.1548878150060773, 0.02189403329975903, 0.05202005436876789, 0.04925434914184734, -0.23236973665188998, 0.019908667425625026, 0.10933326842496172, 0.16521507156721782, -0.05416407765005715, -0.05287037428934127, -0.042522524134255946, 0.08384289492096286, 0.009119034453760833, -0.028984055956243537, 0.039398116306983866, -0.07125866587739438, -0.11760167457396165, 0.339912649767939, -0.060835714859422296, -0.2084163276012987, 0.16830065331305377, -0.11595318798208609, -0.11977284855674952, 0.09238269863999449, 0.15976705425418913, 0.09935170289827511, -0.08730208178167231, 0.11523390287584334, -0.14889875054359436, 0.0629407043743413, 0.18957611024961807, -0.039045819830789696, 0.21438091120216995, 0.04955891257850453, 0.047533920558635145, 0.1658498974811664, -0.06788506067823619, -0.1729633070062846, -0.33847512654028833, -0.23439040515222587, -0.12929155759047717, 0.053673471196816536, -0.17467547183287024, -0.22151878767181188, 0.3805656259864918, -0.004931010422296822, 0.2369840635219589, 0.0787385741059552, 0.22687795932870358, 0.10184153447153221, 0.003962253220379353, 0.042251206788932905, 0.19650666182860732, 0.2148266428266652, 0.0326229834172409, -0.2175883609452285, -0.00661808617587667, 0.1861788003880065] |
1,801.10073 | Spectrum of SYK model | This is the first part of a series of papers on the spectrum of the SYK
model, which is a simple model of the black hole in physics literature. In this
paper, we will give a rigorous proof of the almost sure convergence of the
global density of the eigenvalues. We also discuss the largest eigenvalue of
the SYK model.
| math-ph hep-th math.MP math.PR | this is the first part of a series of papers on the spectrum of the syk model which is a simple model of the black hole in physics literature in this paper we will give a rigorous proof of the almost sure convergence of the global density of the eigenvalues we also discuss the largest eigenvalue of the syk model | [['this', 'is', 'the', 'first', 'part', 'of', 'a', 'series', 'of', 'papers', 'on', 'the', 'spectrum', 'of', 'the', 'syk', 'model', 'which', 'is', 'a', 'simple', 'model', 'of', 'the', 'black', 'hole', 'in', 'physics', 'literature', 'in', 'this', 'paper', 'we', 'will', 'give', 'a', 'rigorous', 'proof', 'of', 'the', 'almost', 'sure', 'convergence', 'of', 'the', 'global', 'density', 'of', 'the', 'eigenvalues', 'we', 'also', 'discuss', 'the', 'largest', 'eigenvalue', 'of', 'the', 'syk', 'model']] | [-0.11747773404543599, 0.029658093024045228, -0.1220959968244036, 0.07433344158343971, -0.032465010260542236, -0.04595747238490731, 0.02947954992026401, 0.27119410295660296, -0.2086310742267718, -0.24024270779142778, 0.13029786080975705, -0.3117568229790777, -0.189086774798731, 0.14338707314260926, -0.05021664517310758, 0.04281055606673666, 0.05161789826427897, 0.08884495363260309, -0.06755121720489114, -0.2628704902715981, 0.3377458926445494, 0.10221394036586086, 0.22326254849710192, 0.07350024832412601, 0.06663853637874126, -0.028320728172548115, -0.017222562005432943, -0.028825436408321064, -0.17149696162280936, 0.16889743440163632, 0.1807198133940498, 0.10688126280438155, 0.291198107910653, -0.3792279088171199, -0.16578898176085205, 0.11947924330209693, 0.15577084737985084, 0.14513702282953697, -0.0328188344622807, -0.2259723615522186, 0.0692731796996668, -0.21222150026199718, -0.16806318406015636, -0.02489278829501321, 0.0032201718694219988, -0.013163047951335709, -0.2537066382666429, 0.12793212793718947, 0.12429842615189651, 0.01759644973402222, -0.05551404124125838, -0.094697757724983, 0.02884694398380816, 0.11785541787588348, 0.09605373478067729, -0.060763854541194935, 0.06454600275028496, -0.11206833702356865, -0.10481975546572357, 0.35734540802271414, -0.07342925438036521, -0.13915207097306848, 0.1447045308848222, -0.2048085656327506, -0.18276943035113316, 0.04971895747197171, 0.17462640923137465, 0.1418069218440602, -0.155304914386943, 0.16913530761376022, -0.1339799565204885, 0.15170848427029948, -0.008489521654943625, 0.026152200585541626, 0.2106358160575231, 0.20068491304991767, 0.08660326287305603, 0.16615688072051854, -0.017887678467862617, -0.07788205551138769, -0.3868144415318966, -0.18195358188822866, -0.2500037061205755, 0.07534100447470943, -0.10942508535614857, -0.24459783611819147, 0.5174229878466576, 0.16978370606278378, 0.21644079287846882, 0.08585650607128628, 0.2727457656525075, 0.1395328396737265, -0.016403434805882473, 0.05246132200894257, 0.26692702729875845, 0.1432696089303742, 0.12288666324845204, -0.1825250160259505, -0.001719539240002632, 0.138658939259282] |
1,801.10074 | Multiplicities of cohomological automorphic forms on $\mathrm{GL}_2$ and
mod $p$ representations of $\mathrm{GL}_2(\mathbb{Q}_p)$ | We prove a new upper bound for the dimension of the space of cohomological
automorphic forms of fixed level and growing parallel weight on $\mathrm{GL}_2$
over a number field which is not totally real, improving the one obtained by
Marshall. The main tool of the proof is the mod $p$ representation theory of
$\mathrm{GL}_2(\mathbb{Q}_p)$ as started by Barthel-Livne and Breuil, and
developed by Paskunas.
| math.NT math.RT | we prove a new upper bound for the dimension of the space of cohomological automorphic forms of fixed level and growing parallel weight on mathrmgl_2 over a number field which is not totally real improving the one obtained by marshall the main tool of the proof is the mod p representation theory of mathrmgl_2mathbbq_p as started by barthellivne and breuil and developed by paskunas | [['we', 'prove', 'a', 'new', 'upper', 'bound', 'for', 'the', 'dimension', 'of', 'the', 'space', 'of', 'cohomological', 'automorphic', 'forms', 'of', 'fixed', 'level', 'and', 'growing', 'parallel', 'weight', 'on', 'mathrmgl_2', 'over', 'a', 'number', 'field', 'which', 'is', 'not', 'totally', 'real', 'improving', 'the', 'one', 'obtained', 'by', 'marshall', 'the', 'main', 'tool', 'of', 'the', 'proof', 'is', 'the', 'mod', 'p', 'representation', 'theory', 'of', 'mathrmgl_2mathbbq_p', 'as', 'started', 'by', 'barthellivne', 'and', 'breuil', 'and', 'developed', 'by', 'paskunas']] | [-0.1565878187927107, 0.1257205558127709, -0.12714598900712434, 0.025079234323966953, -0.06922931389306627, -0.11334035854550108, 0.037078720715177794, 0.22241010940735348, -0.25271203824215466, -0.2902748690149377, 0.11227176421957594, -0.20259698171682272, -0.15990898326512368, 0.256211397489385, -0.07730817865757715, 0.035728249018864025, 0.016242735745710512, 0.11469782927324848, -0.017288338836459888, -0.31864305168745066, 0.3901052669592438, 0.01985245888742308, 0.23678841979967225, 0.06736905535771734, 0.10298113443238276, 0.09744802973277512, -0.05245138111982554, -0.05633526770739875, -0.12474094887101461, 0.1909104266041328, 0.2590606538431039, 0.1050359341357502, 0.26015315677911516, -0.3662830513148081, -0.1538958575332626, 0.13041308270176016, 0.126655577489781, 0.022973590210774945, -0.01223168751069655, -0.3022192506385701, 0.1477849965929867, -0.146320244326951, -0.15547835737437246, -0.07473035975699387, 0.07135630247648805, -0.017652749069153317, -0.24497712733933613, -0.024345000651443287, 0.12910381983596061, 0.14816047862820728, -0.08913450372878402, -0.1754205437702319, -0.012262876455982527, 0.09084714602287268, 0.016201541825596775, 0.08939238403607826, 0.04553162332417236, -0.11634360143678292, -0.12527717818461714, 0.28439962428565774, -0.07196663642331722, -0.16438842943263432, 0.15132128969130534, -0.1374287583037383, -0.14401340579229688, 0.11712988142278932, 0.11764847313142604, 0.12495423095034701, -0.03600971312040374, 0.20869981401160154, -0.10444562025516042, 0.10440137336355826, 0.11384130855430923, -0.06241869352876194, 0.12193039328687721, 0.1058847408386923, 0.09543444708521877, 0.11839899886399508, -0.020141369740789134, -0.034634370977679886, -0.30579786823086796, -0.21793075269254455, -0.19949660971686836, 0.0875271074217467, -0.08867152995408682, -0.14378582545748306, 0.39293163685896804, 0.059001500629598184, 0.1863090627575441, 0.12291515399221449, 0.2528938515082238, 0.12016765662239835, 0.06131043914143765, 0.08528460207439605, 0.13936402209635293, 0.19761530583029582, 0.028088837597770467, -0.12129889443398469, 0.005504740271366216, 0.18265546601088273] |
1,801.10075 | Probing magnetism in 2D van der Waals crystalline insulators via
electron tunneling | Magnetic insulators are a key resource for next-generation spintronic and
topological devices. The family of layered metal halides promises ultrathin
insulating multiferroics, spin liquids, and ferromagnets, but new
characterization methods are required to unlock their potential. Here, we
report tunneling through the layered magnetic insulator CrI3 as a function of
temperature and applied magnetic field. We electrically detect the magnetic
ground state and inter-layer coupling and observe a field-induced metamagnetic
transition. The metamagnetic transition results in magnetoresistances of 95%,
300%, and 550% for bilayer, trilayer, and tetralayer CrI3 barriers,
respectively. We further measure inelastic tunneling spectra for our junctions,
unveiling a rich spectrum of collective magnetic excitations (magnons) in CrI3.
Our results establish vertical tunneling as a versatile probe of magnetism in
atomically thin insulators.
| cond-mat.mes-hall cond-mat.mtrl-sci cond-mat.str-el | magnetic insulators are a key resource for nextgeneration spintronic and topological devices the family of layered metal halides promises ultrathin insulating multiferroics spin liquids and ferromagnets but new characterization methods are required to unlock their potential here we report tunneling through the layered magnetic insulator cri3 as a function of temperature and applied magnetic field we electrically detect the magnetic ground state and interlayer coupling and observe a fieldinduced metamagnetic transition the metamagnetic transition results in magnetoresistances of 95 300 and 550 for bilayer trilayer and tetralayer cri3 barriers respectively we further measure inelastic tunneling spectra for our junctions unveiling a rich spectrum of collective magnetic excitations magnons in cri3 our results establish vertical tunneling as a versatile probe of magnetism in atomically thin insulators | [['magnetic', 'insulators', 'are', 'a', 'key', 'resource', 'for', 'nextgeneration', 'spintronic', 'and', 'topological', 'devices', 'the', 'family', 'of', 'layered', 'metal', 'halides', 'promises', 'ultrathin', 'insulating', 'multiferroics', 'spin', 'liquids', 'and', 'ferromagnets', 'but', 'new', 'characterization', 'methods', 'are', 'required', 'to', 'unlock', 'their', 'potential', 'here', 'we', 'report', 'tunneling', 'through', 'the', 'layered', 'magnetic', 'insulator', 'cri3', 'as', 'a', 'function', 'of', 'temperature', 'and', 'applied', 'magnetic', 'field', 'we', 'electrically', 'detect', 'the', 'magnetic', 'ground', 'state', 'and', 'interlayer', 'coupling', 'and', 'observe', 'a', 'fieldinduced', 'metamagnetic', 'transition', 'the', 'metamagnetic', 'transition', 'results', 'in', 'magnetoresistances', 'of', '95', '300', 'and', '550', 'for', 'bilayer', 'trilayer', 'and', 'tetralayer', 'cri3', 'barriers', 'respectively', 'we', 'further', 'measure', 'inelastic', 'tunneling', 'spectra', 'for', 'our', 'junctions', 'unveiling', 'a', 'rich', 'spectrum', 'of', 'collective', 'magnetic', 'excitations', 'magnons', 'in', 'cri3', 'our', 'results', 'establish', 'vertical', 'tunneling', 'as', 'a', 'versatile', 'probe', 'of', 'magnetism', 'in', 'atomically', 'thin', 'insulators']] | [-0.23930198554345405, 0.22488312556967138, 0.006047750882804394, 0.015493849210441113, -0.056083113345783205, -0.20445815245434643, 0.1276167653594166, 0.44422912642359735, -0.24418908854201435, -0.31881009810417893, -0.05726111800596118, -0.3430874393284321, -0.163380729585886, 0.22416874362155795, 0.09982013573870063, 0.023971281815320253, -0.07551903431117535, -0.14388707835227252, -0.07550328207015991, -0.1438055340796709, 0.23558426831103862, -0.05207515938952565, 0.35731598518416285, 0.14217681013792755, 0.013420725610107183, -0.04789981811493635, 0.2348540739864111, 0.013461676044389605, -0.21613210564106702, 0.037208882654085756, 0.29565271513164043, -0.2033384340647608, 0.16886700316518546, -0.489761733353138, -0.19415220408886671, -0.04792952394112945, 0.15337936791777612, 0.177217078730464, -0.15664471889287232, -0.3399862300902605, 0.04990622098371387, -0.15009709861874582, -0.07945239940157625, -0.2034404721930623, -0.039415893050841984, -0.013978005789220333, -0.23499584877351298, 0.0663879903079942, 0.05481712313648313, 0.1408409472554922, -0.13172811990382616, -0.11563609697297215, -0.08960048757120967, 0.03735858235321939, 0.021641262874007226, 0.07238458628579975, 0.19687660379335284, -0.13739885057602078, -0.18087996424734593, 0.31378019515564665, -0.06454245124617591, -0.0012114302888512612, 0.16165072419308127, -0.21339925171807408, -0.07033061798661948, 0.13096758875250816, 0.11860082307690754, 0.14394808742403983, -0.1490978841483593, 0.07471803667070344, 0.03517208408936858, 0.14312225005216897, 0.001912469133734703, 0.16619076568353922, 0.3438056743219495, 0.2616308701634407, 0.03180600371432956, 0.15777854102104902, -0.1680004459619522, 0.02148542023450136, -0.14863238468393683, -0.26119447278231384, -0.24395906467735767, 0.11111209780350327, -0.06404788686812389, -0.2539495612308383, 0.41115867693722247, 0.192442424274981, 0.11724443317390978, -0.09597428175806999, 0.24917136277630925, 0.048201803371310234, 0.0594423253973946, -0.018722977158613503, 0.26323069040477276, 0.24725220900587738, 0.19896260272909422, -0.2388417426943779, 0.07030278406105936, -0.046065251633524894] |
1,801.10076 | Large Starspot Groups on HAT-P-11 in Activity Cycle 1 | HAT-P-11 is a planet-hosting K4V star in the Kepler field, with an activity
cycle that bear similarities to the Sun's. The chromospheric activity of
HAT-P-11 indicates that a new activity cycle is beginning. We report
ground-based observations with holographic diffuser photometry to measure the
starspots of HAT-P-11 in its second observed magnetic activity cycle (Cycle 1).
We find the area coverage of starspots within the transit chord for UTC
2017-10-30 is 14% --- which makes this transit the most spotted HAT-P-11
transit observed to date. We suggest that we are likely observing occultations
of large spot groups appearing at the beginning of Cycle 1.
| astro-ph.SR astro-ph.EP | hatp11 is a planethosting k4v star in the kepler field with an activity cycle that bear similarities to the suns the chromospheric activity of hatp11 indicates that a new activity cycle is beginning we report groundbased observations with holographic diffuser photometry to measure the starspots of hatp11 in its second observed magnetic activity cycle cycle 1 we find the area coverage of starspots within the transit chord for utc 20171030 is 14 which makes this transit the most spotted hatp11 transit observed to date we suggest that we are likely observing occultations of large spot groups appearing at the beginning of cycle 1 | [['hatp11', 'is', 'a', 'planethosting', 'k4v', 'star', 'in', 'the', 'kepler', 'field', 'with', 'an', 'activity', 'cycle', 'that', 'bear', 'similarities', 'to', 'the', 'suns', 'the', 'chromospheric', 'activity', 'of', 'hatp11', 'indicates', 'that', 'a', 'new', 'activity', 'cycle', 'is', 'beginning', 'we', 'report', 'groundbased', 'observations', 'with', 'holographic', 'diffuser', 'photometry', 'to', 'measure', 'the', 'starspots', 'of', 'hatp11', 'in', 'its', 'second', 'observed', 'magnetic', 'activity', 'cycle', 'cycle', '1', 'we', 'find', 'the', 'area', 'coverage', 'of', 'starspots', 'within', 'the', 'transit', 'chord', 'for', 'utc', '20171030', 'is', '14', 'which', 'makes', 'this', 'transit', 'the', 'most', 'spotted', 'hatp11', 'transit', 'observed', 'to', 'date', 'we', 'suggest', 'that', 'we', 'are', 'likely', 'observing', 'occultations', 'of', 'large', 'spot', 'groups', 'appearing', 'at', 'the', 'beginning', 'of', 'cycle', '1']] | [-0.16680273090434425, 0.18373896046122193, -0.07176356327573896, 0.07231505379290777, -0.12990518593156308, -0.07142258479314692, 0.10707970323296738, 0.3928631382957831, -0.1785115379185014, -0.3875364163963526, 0.12186243277563549, -0.32449867103394925, -0.15835952054362232, 0.20090670683695114, -0.18342072466689655, -0.05003173743755849, 0.14785488920432388, 0.03474798566643514, 0.031029189868337092, -0.26130851254086285, 0.2065904817324789, 0.066932682787963, 0.08982053854931876, -0.033610471763976794, 0.007581655607175301, -0.09181317095827385, -0.07728344741660882, -0.023657201656069625, -0.14253228889912647, 0.06098034862410642, 0.2213549330994925, 0.17412264633229843, 0.16705017418294743, -0.36337896745980663, -0.2440807164153632, 0.052922094427962224, 0.0998925171819899, 0.0035983024783633358, -0.0226075529262387, -0.22165410967278934, 0.06160391351224069, -0.12390655753951446, -0.14478422933504642, 0.04378197609227808, 0.16210107695808926, 0.012405772803022581, -0.21793033504475126, 0.042068081328134034, 0.010459323861070123, 0.2351322415531339, -0.11522270613418453, -0.0647939869166151, -0.06799811413329021, 0.14566537174944053, 0.03951160380772004, 0.09836338356584676, 0.11855320965268594, -0.08899120213783474, -0.080958396429196, 0.35190623819681943, -0.14102697130018735, 0.08473802282356237, 0.18036936304769388, -0.2906353034218317, -0.2041024705623368, 0.17657108373675204, 0.13027313001928667, 0.13242506363209994, -0.14001397616869093, -0.07715778580556314, -0.011591898279684577, 0.22086542070039786, 0.049486989915535295, 0.021285752023971986, 0.3562644330017707, 0.18382608312679746, 0.09130723176834483, 0.09293495464611196, -0.33757561669849295, -0.04490982807770956, -0.22044602903941482, -0.09016045949001815, -0.11642299953838993, 0.047488927001170085, -0.08159117465017035, -0.14703817040358177, 0.45794029844303924, 0.15408199469960643, 0.1635897950333196, 0.04282550714275453, 0.27062657804173584, 0.09205756259867556, 0.10967581581516082, 0.1211660241881641, 0.3387119434043473, 0.14808859446031206, 0.1488408537937657, -0.25246074520691764, 0.07486642946434371, 0.020989497635038754] |
1,801.10077 | Observation of density-dependent gauge fields in a Bose-Einstein
condensate based on micromotion control in a shaken two-dimensional lattice | We demonstrate a density-dependent gauge field, induced by atomic
interactions, for quantum gases. The gauge field results from the synchronous
coupling between the interactions and micromotion of the atoms in a modulated
two-dimensional optical lattice. As a first step, we show that a coherent
shaking of the lattice in two directions can couple the momentum and
interactions of atoms and break the four-fold symmetry of the lattice. We then
create a full interaction-induced gauge field by modulating the interaction
strength in synchrony with the lattice shaking. When a condensate is loaded
into this shaken lattice, the gauge field acts to preferentially prepare the
system in different quasimomentum ground states depending on the modulation
phase. We envision that these interaction-induced fields, created by fine
control of micromotion, will provide a stepping stone to model new quantum
phenomena within and beyond condensed matter physics.
| cond-mat.quant-gas physics.atom-ph | we demonstrate a densitydependent gauge field induced by atomic interactions for quantum gases the gauge field results from the synchronous coupling between the interactions and micromotion of the atoms in a modulated twodimensional optical lattice as a first step we show that a coherent shaking of the lattice in two directions can couple the momentum and interactions of atoms and break the fourfold symmetry of the lattice we then create a full interactioninduced gauge field by modulating the interaction strength in synchrony with the lattice shaking when a condensate is loaded into this shaken lattice the gauge field acts to preferentially prepare the system in different quasimomentum ground states depending on the modulation phase we envision that these interactioninduced fields created by fine control of micromotion will provide a stepping stone to model new quantum phenomena within and beyond condensed matter physics | [['we', 'demonstrate', 'a', 'densitydependent', 'gauge', 'field', 'induced', 'by', 'atomic', 'interactions', 'for', 'quantum', 'gases', 'the', 'gauge', 'field', 'results', 'from', 'the', 'synchronous', 'coupling', 'between', 'the', 'interactions', 'and', 'micromotion', 'of', 'the', 'atoms', 'in', 'a', 'modulated', 'twodimensional', 'optical', 'lattice', 'as', 'a', 'first', 'step', 'we', 'show', 'that', 'a', 'coherent', 'shaking', 'of', 'the', 'lattice', 'in', 'two', 'directions', 'can', 'couple', 'the', 'momentum', 'and', 'interactions', 'of', 'atoms', 'and', 'break', 'the', 'fourfold', 'symmetry', 'of', 'the', 'lattice', 'we', 'then', 'create', 'a', 'full', 'interactioninduced', 'gauge', 'field', 'by', 'modulating', 'the', 'interaction', 'strength', 'in', 'synchrony', 'with', 'the', 'lattice', 'shaking', 'when', 'a', 'condensate', 'is', 'loaded', 'into', 'this', 'shaken', 'lattice', 'the', 'gauge', 'field', 'acts', 'to', 'preferentially', 'prepare', 'the', 'system', 'in', 'different', 'quasimomentum', 'ground', 'states', 'depending', 'on', 'the', 'modulation', 'phase', 'we', 'envision', 'that', 'these', 'interactioninduced', 'fields', 'created', 'by', 'fine', 'control', 'of', 'micromotion', 'will', 'provide', 'a', 'stepping', 'stone', 'to', 'model', 'new', 'quantum', 'phenomena', 'within', 'and', 'beyond', 'condensed', 'matter', 'physics']] | [-0.18220493751643618, 0.3118518312219006, -0.06470809337432155, 0.025444681395474875, -0.024569041581011156, -0.13581001776611615, 0.07746007797491908, 0.409910067351876, -0.28360013784447186, -0.2529700490724768, 0.01171449944704876, -0.22703799933627983, -0.12536846166050297, 0.13269552662083223, 0.05358659606722092, -0.003203286386003167, 0.012407729903918127, -0.015100624703951376, -0.04857419817183744, -0.23984368859042585, 0.3001491986924264, 0.0038909059047410395, 0.2752541431855463, 0.07892969298228936, 0.09482180141076497, 0.04093833953473376, 0.07620311363823187, -0.003090985880141527, -0.11635568765253172, 0.09229325156447372, 0.17335179174674714, -0.044193702326877644, 0.22163261787992128, -0.4888947469274133, -0.21604521048884892, 0.06244929939587141, 0.1543670795289357, 0.23620851240842275, -0.08705679268959883, -0.3514107287251456, -0.06044543747016242, -0.16568723989939185, -0.14300796584370482, -0.11017495258645692, -0.008857272421075424, 0.03090601394438303, -0.2701801597862176, 0.04110109660131726, 0.04387254681533308, 0.10587088003570974, -0.07728457968996864, -0.021287264924621026, -0.040351634231087764, 0.08608211732808087, 0.00036890639531636006, 0.06879104921286007, 0.14762384300267745, -0.17495787473933272, -0.1400536704254271, 0.45540464733740393, -0.11803302068663367, -0.16480007169204175, 0.1722286269101511, -0.14661090572128518, -0.07253889566038171, 0.11209672249519122, 0.1841655633966504, 0.01648224497699297, -0.09943902786892042, 0.07963684017763434, -0.026415298207544943, 0.18611019010275182, 0.04265368475519698, 0.04678369807341779, 0.2685262790166209, 0.14854763522186698, 0.07932251469071457, 0.14758983624502228, -0.0809013179383123, -0.13432523206164929, -0.3003561365332874, -0.13778939391289588, -0.20771339277303974, 0.04846996546093322, -0.026942063045104256, -0.1281615977905589, 0.42819973851986964, 0.17019627585967767, 0.18451452298535848, -0.070302982163668, 0.24184961293325563, 0.08401188399547606, 0.09650343472242985, -0.01883499222417349, 0.27109685861571153, 0.14983407955806913, 0.05919091010951555, -0.2869711158031427, -0.08346258559998807, 0.07434285764129911] |
1,801.10078 | A Topological SQUIPT based on helical edge states in proximity to
superconductors | We propose a device based on a topological Josephson junction where the
helical edge states of a two-dimensional topological insulator are in close
proximity to two superconducting leads. The presence of a magnetic flux through
the junction leads to a Doppler shift in the spectrum of Andreev bound states,
and affects the quantum interference between proximized edge states. We inspect
the emergent features, accessing the density of states through a tunnel-coupled
metallic probe, thus realizing a Topological Superconducting Quantum
Interference Proximity Transistor (TSQUIPT). We calculate the expected
performances of this new device, concluding that it can be used as a sensitive,
absolute magnetometer due to the voltage drop across the junction decaying to a
constant value as a function of the magnetic flux. Contrary to conventional
SQUID and SQUIPT designs, no ring structure is needed. The findings pave the
way for novel and sensitive devices based on hybrid devices that exploit
helical edge states.
| cond-mat.mes-hall cond-mat.supr-con | we propose a device based on a topological josephson junction where the helical edge states of a twodimensional topological insulator are in close proximity to two superconducting leads the presence of a magnetic flux through the junction leads to a doppler shift in the spectrum of andreev bound states and affects the quantum interference between proximized edge states we inspect the emergent features accessing the density of states through a tunnelcoupled metallic probe thus realizing a topological superconducting quantum interference proximity transistor tsquipt we calculate the expected performances of this new device concluding that it can be used as a sensitive absolute magnetometer due to the voltage drop across the junction decaying to a constant value as a function of the magnetic flux contrary to conventional squid and squipt designs no ring structure is needed the findings pave the way for novel and sensitive devices based on hybrid devices that exploit helical edge states | [['we', 'propose', 'a', 'device', 'based', 'on', 'a', 'topological', 'josephson', 'junction', 'where', 'the', 'helical', 'edge', 'states', 'of', 'a', 'twodimensional', 'topological', 'insulator', 'are', 'in', 'close', 'proximity', 'to', 'two', 'superconducting', 'leads', 'the', 'presence', 'of', 'a', 'magnetic', 'flux', 'through', 'the', 'junction', 'leads', 'to', 'a', 'doppler', 'shift', 'in', 'the', 'spectrum', 'of', 'andreev', 'bound', 'states', 'and', 'affects', 'the', 'quantum', 'interference', 'between', 'proximized', 'edge', 'states', 'we', 'inspect', 'the', 'emergent', 'features', 'accessing', 'the', 'density', 'of', 'states', 'through', 'a', 'tunnelcoupled', 'metallic', 'probe', 'thus', 'realizing', 'a', 'topological', 'superconducting', 'quantum', 'interference', 'proximity', 'transistor', 'tsquipt', 'we', 'calculate', 'the', 'expected', 'performances', 'of', 'this', 'new', 'device', 'concluding', 'that', 'it', 'can', 'be', 'used', 'as', 'a', 'sensitive', 'absolute', 'magnetometer', 'due', 'to', 'the', 'voltage', 'drop', 'across', 'the', 'junction', 'decaying', 'to', 'a', 'constant', 'value', 'as', 'a', 'function', 'of', 'the', 'magnetic', 'flux', 'contrary', 'to', 'conventional', 'squid', 'and', 'squipt', 'designs', 'no', 'ring', 'structure', 'is', 'needed', 'the', 'findings', 'pave', 'the', 'way', 'for', 'novel', 'and', 'sensitive', 'devices', 'based', 'on', 'hybrid', 'devices', 'that', 'exploit', 'helical', 'edge', 'states']] | [-0.24038038999329206, 0.1788338477555145, -0.07886701430273212, 0.02584607998275174, -0.07209220072224103, -0.20503165148612526, 0.1262949628381095, 0.3466719024041607, -0.22062822051188039, -0.3117501184928651, -0.016182783246953405, -0.2921060634095197, -0.15647466338294394, 0.19951395732898483, -0.014713964526985888, 0.049237141423576034, -0.007672302863177131, -0.012716092147980055, -0.0868995098817144, -0.12048318707749393, 0.314957265769515, 0.018393399437365968, 0.3815835130589655, 0.08730084971628255, 0.02075551962479949, -0.04087131548052033, 0.10797034691276601, 0.04088426872880922, -0.1129565465914008, 0.06669404403591114, 0.23344634866853262, -0.06463017474306029, 0.194214359718661, -0.505128071479061, -0.17357431730678535, 0.0394696169167611, 0.13950443406911944, 0.12555252038112846, -0.046886575021750594, -0.33150080881185, 0.08375646006255076, -0.1650201733059743, -0.09192723393256873, -0.04927227395762434, -0.029242884081611836, -0.03267734658750675, -0.2475334179570162, 0.025521267954187066, 0.008823295673233719, 0.004435449491674993, 0.002047635543919503, -0.045813796903673265, -0.026362287308229437, 0.09303550350535326, -0.05882851682219874, 0.031465026589560935, 0.19588636215837077, -0.14398022785514983, -0.1618247956427094, 0.30719856243714494, -0.06508431776336948, -0.13159435194935284, 0.1506297499385778, -0.1239981026604796, -0.02539987475733011, 0.11076987532935306, 0.13157136822301968, 0.06878542877867623, -0.10955912933427707, 0.04538113203126438, -0.006264890837057013, 0.1569541853219514, 0.03893148474504843, 0.15174823071354135, 0.30500471139071034, 0.1947813750323809, 0.1327956225207529, 0.19839166008541664, -0.1715283402199157, -0.039073114391428486, -0.27582789475731306, -0.20378314979028966, -0.23551433137161473, 0.08275686601919481, -0.007125435975776663, -0.22849771556949694, 0.4578023680236215, 0.18861848254401992, 0.21346504433028649, -0.07175498281539344, 0.3299646786249736, 0.1381422307789691, 0.09944900199375267, 0.050300393089213795, 0.2341938254855622, 0.19880908854409224, 0.0892668899173051, -0.3010678907606775, 0.07294167015774577, -0.031125375704255467] |
1,801.10079 | High Abundances of Presolar Grains and $^{15}$N-rich Organic Matter in
CO3.0 Chondrite Dominion Range 08006 | NanoSIMS C-, N-, and O-isotopic mapping of matrix in CO3.0 chondrite Dominion
Range (DOM) 08006 revealed it to have in its matrix the highest abundance of
presolar O-rich grains (257 +76 / -96 ppm, 2$\sigma$) of any meteorite. It also
has a matrix abundance of presolar SiC of 35 (+25 / -17, 2$\sigma$) ppm,
similar to that seen across primitive chondrite classes. This provides
additional support to bulk isotopic and petrologic evidence that DOM 08006 is
the most primitive known CO meteorite. Transmission electron microscopy of five
presolar silicate grains revealed one to have a composite mineralogy similar to
larger amoeboid olivine aggregates and consistent with equilibrium
condensation, two non-stoichiometric amorphous grains and two olivine grains,
though one is identified as such solely based on its composition. We also found
insoluble organic matter (IOM) to be present primarily as sub-micron inclusions
with ranges of C- and N-isotopic anomalies similar to those seen in primitive
CR chondrites and interplanetary dust particles. In contrast to other primitive
extraterrestrial materials, H isotopic imaging showed normal and homogeneous
D/H. Most likely, DOM 08006 and other CO chondrites accreted a similar
complement of primitive and isotopically anomalous organic matter to that found
in other chondrite classes and IDPs, but the very limited amount of thermal
metamorphism experienced by DOM 08006 has caused loss of D-rich organic
moieties, while not substantially affecting either the molecular carriers of C
and N anomalies or most inorganic phases in the meteorite. One C-rich grain
that was highly depleted in $^{13}$C and $^{15}$N was identified; we propose it
originated in the Sun's parental molecular cloud.
| astro-ph.EP | nanosims c n and oisotopic mapping of matrix in co30 chondrite dominion range dom 08006 revealed it to have in its matrix the highest abundance of presolar orich grains 257 76 96 ppm 2sigma of any meteorite it also has a matrix abundance of presolar sic of 35 25 17 2sigma ppm similar to that seen across primitive chondrite classes this provides additional support to bulk isotopic and petrologic evidence that dom 08006 is the most primitive known co meteorite transmission electron microscopy of five presolar silicate grains revealed one to have a composite mineralogy similar to larger amoeboid olivine aggregates and consistent with equilibrium condensation two nonstoichiometric amorphous grains and two olivine grains though one is identified as such solely based on its composition we also found insoluble organic matter iom to be present primarily as submicron inclusions with ranges of c and nisotopic anomalies similar to those seen in primitive cr chondrites and interplanetary dust particles in contrast to other primitive extraterrestrial materials h isotopic imaging showed normal and homogeneous dh most likely dom 08006 and other co chondrites accreted a similar complement of primitive and isotopically anomalous organic matter to that found in other chondrite classes and idps but the very limited amount of thermal metamorphism experienced by dom 08006 has caused loss of drich organic moieties while not substantially affecting either the molecular carriers of c and n anomalies or most inorganic phases in the meteorite one crich grain that was highly depleted in 13c and 15n was identified we propose it originated in the suns parental molecular cloud | [['nanosims', 'c', 'n', 'and', 'oisotopic', 'mapping', 'of', 'matrix', 'in', 'co30', 'chondrite', 'dominion', 'range', 'dom', '08006', 'revealed', 'it', 'to', 'have', 'in', 'its', 'matrix', 'the', 'highest', 'abundance', 'of', 'presolar', 'orich', 'grains', '257', '76', '96', 'ppm', '2sigma', 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1,801.1008 | A Machine Learning Approach to Quantitative Prosopography | Prosopography is an investigation of the common characteristics of a group of
people in history, by a collective study of their lives. It involves a study of
biographies to solve historical problems. If such biographies are unavailable,
surviving documents and secondary biographical data are used. Quantitative
prosopography involves analysis of information from a wide variety of sources
about "ordinary people". In this paper, we present a machine learning framework
for automatically designing a people gazetteer which forms the basis of
quantitative prosopographical research. The gazetteer is learnt from the noisy
text of newspapers using a Named Entity Recognizer (NER). It is capable of
identifying influential people from it by making use of a custom designed
Influential Person Index (IPI). Our corpus comprises of 14020 articles from a
local newspaper, "The Sun", published from New York in 1896. Some influential
people identified by our algorithm include Captain Donald Hankey (an English
soldier), Dame Nellie Melba (an Australian operatic soprano), Hugh Allan (a
Canadian shipping magnate) and Sir Hugh John McDonald (the first Prime Minister
of Canada).
| cs.DL cs.CL | prosopography is an investigation of the common characteristics of a group of people in history by a collective study of their lives it involves a study of biographies to solve historical problems if such biographies are unavailable surviving documents and secondary biographical data are used quantitative prosopography involves analysis of information from a wide variety of sources about ordinary people in this paper we present a machine learning framework for automatically designing a people gazetteer which forms the basis of quantitative prosopographical research the gazetteer is learnt from the noisy text of newspapers using a named entity recognizer ner it is capable of identifying influential people from it by making use of a custom designed influential person index ipi our corpus comprises of 14020 articles from a local newspaper the sun published from new york in 1896 some influential people identified by our algorithm include captain donald hankey an english soldier dame nellie melba an australian operatic soprano hugh allan a canadian shipping magnate and sir hugh john mcdonald the first prime minister of canada | [['prosopography', 'is', 'an', 'investigation', 'of', 'the', 'common', 'characteristics', 'of', 'a', 'group', 'of', 'people', 'in', 'history', 'by', 'a', 'collective', 'study', 'of', 'their', 'lives', 'it', 'involves', 'a', 'study', 'of', 'biographies', 'to', 'solve', 'historical', 'problems', 'if', 'such', 'biographies', 'are', 'unavailable', 'surviving', 'documents', 'and', 'secondary', 'biographical', 'data', 'are', 'used', 'quantitative', 'prosopography', 'involves', 'analysis', 'of', 'information', 'from', 'a', 'wide', 'variety', 'of', 'sources', 'about', 'ordinary', 'people', 'in', 'this', 'paper', 'we', 'present', 'a', 'machine', 'learning', 'framework', 'for', 'automatically', 'designing', 'a', 'people', 'gazetteer', 'which', 'forms', 'the', 'basis', 'of', 'quantitative', 'prosopographical', 'research', 'the', 'gazetteer', 'is', 'learnt', 'from', 'the', 'noisy', 'text', 'of', 'newspapers', 'using', 'a', 'named', 'entity', 'recognizer', 'ner', 'it', 'is', 'capable', 'of', 'identifying', 'influential', 'people', 'from', 'it', 'by', 'making', 'use', 'of', 'a', 'custom', 'designed', 'influential', 'person', 'index', 'ipi', 'our', 'corpus', 'comprises', 'of', '14020', 'articles', 'from', 'a', 'local', 'newspaper', 'the', 'sun', 'published', 'from', 'new', 'york', 'in', '1896', 'some', 'influential', 'people', 'identified', 'by', 'our', 'algorithm', 'include', 'captain', 'donald', 'hankey', 'an', 'english', 'soldier', 'dame', 'nellie', 'melba', 'an', 'australian', 'operatic', 'soprano', 'hugh', 'allan', 'a', 'canadian', 'shipping', 'magnate', 'and', 'sir', 'hugh', 'john', 'mcdonald', 'the', 'first', 'prime', 'minister', 'of', 'canada']] | [-0.06361803612478915, 0.04096875855512848, -0.12082514909659885, 0.09463967229294751, -0.17584928280547174, -0.13827525706653146, 0.08497562185522257, 0.3156188584412255, -0.20659270204228938, -0.3438192702521234, 0.09704136475438484, -0.35949410082629096, -0.1770940472939487, 0.22138791142263003, -0.13331657038318248, -0.017832290280621346, 0.10192463900508171, 0.083350791265918, 0.033518035274781505, -0.290258199455955, 0.2888033934097362, 0.05898174932281647, 0.2831161631679041, -0.02832799775012047, 0.1191612328933111, 0.013362967777038378, -0.13174964000261527, -0.036558317290563906, -0.07864180881634751, 0.1790638795558545, 0.36187451977431556, 0.2663802162512652, 0.37635477719905636, -0.3598583508889086, -0.14711326190419274, 0.04603961285357997, 0.0848072936073684, 0.08551887524129613, -0.03486292115715746, -0.391981120995582, 0.043855454266407475, -0.220424643365016, -0.06648876694080656, -0.035090422301867305, 0.04626008005779699, 0.01162230526785967, -0.19996407156611776, 0.03734355930999451, 0.019032715445042713, 0.17406863787420887, -0.02286976180728194, -0.15390869412576702, 0.0490349984545944, 0.2117893238133095, 0.05120917483365174, 0.019333661232176707, 0.11448829045199607, -0.1458710622987517, -0.12050140546304146, 0.3832389469914271, -0.024996592353246885, -0.0814218734344192, 0.12923606336061683, -0.037842200032969904, -0.16354662217144694, 0.08371733240342352, 0.2014065390320484, 0.11911054610787235, -0.22406094847522542, 0.015858277168053273, -0.10545264995662418, 0.1822274802734844, 0.10963013386298742, -0.08492494273390731, 0.20226910896048214, 0.1969558002410688, -0.016950501012960282, 0.10354175817320597, -0.07898432244174733, -0.03718066592797218, -0.20638037437143233, -0.15885397455291328, -0.1621321757849631, 0.05460944177084134, -0.04611177326795871, -0.13377674264914616, 0.39510160565552627, 0.1545164080807862, 0.11705253058465848, -0.0003271965873455243, 0.259772282031767, -0.05524042349711016, 0.07782690761319483, 0.08838871278739452, 0.12758455746590172, 0.030995712416472476, 0.203397215143557, -0.10880733303968194, 0.0894609276927214, 0.06059153355140041] |
1,801.10081 | Kondo effect with tunable spin orbit interaction in LaTiO3/CeTiO3/SrTiO3
heterostructure | We have fabricated epitaxial films of CeTiO3 (CTO) on (001)oriented
SrTiO3(STO) substrates, which exhibit highly insulating and diamagnetic
properties. X-ray photoelectron spectroscopy (XPS) was to establish the 3+
valence state of the Ve and Ti ions. Furthermore, we also fabricated delta
(CTO) doped LatiO3 (LTO)-STO thin films which exhibit variety of interesting
properties including Kondo effect and spin orbit interaction (SOI) at low
temperatures. SOI shows a non-monotonic behaviour as the thickness of the CTO
layer is increased and is reflected in the value of the characteristic SOI
field (B_SO) obtained from weak antilocalization fitting. The maximum value of
B_SO is 1.00 T for delta layer thickness of 6 u.c. This non-monotonic behaviour
of SOI is attributed to the strong screening of the confining potential at the
interface. The thicker CTO film in addition to the increased dielectric
constant of the STO substrate at low temperature leads to strong screening as a
result of which the electrons confined at the interface are spread deeper into
the STO bulk where it starts to populate the Ti d_xz_yz subbands; consequently
the Fermi level crosses over from the d_xy to the d_xz_yz subbands. At the
crossover region of d_xy - d_xz_yz where there is orbital mixing, SOI goes
through a maximum.
| cond-mat.str-el | we have fabricated epitaxial films of cetio3 cto on 001oriented srtio3sto substrates which exhibit highly insulating and diamagnetic properties xray photoelectron spectroscopy xps was to establish the 3 valence state of the ve and ti ions furthermore we also fabricated delta cto doped latio3 ltosto thin films which exhibit variety of interesting properties including kondo effect and spin orbit interaction soi at low temperatures soi shows a nonmonotonic behaviour as the thickness of the cto layer is increased and is reflected in the value of the characteristic soi field b_so obtained from weak antilocalization fitting the maximum value of b_so is 100 t for delta layer thickness of 6 uc this nonmonotonic behaviour of soi is attributed to the strong screening of the confining potential at the interface the thicker cto film in addition to the increased dielectric constant of the sto substrate at low temperature leads to strong screening as a result of which the electrons confined at the interface are spread deeper into the sto bulk where it starts to populate the ti d_xz_yz subbands consequently the fermi level crosses over from the d_xy to the d_xz_yz subbands at the crossover region of d_xy d_xz_yz where there is orbital mixing soi goes through a maximum | [['we', 'have', 'fabricated', 'epitaxial', 'films', 'of', 'cetio3', 'cto', 'on', '001oriented', 'srtio3sto', 'substrates', 'which', 'exhibit', 'highly', 'insulating', 'and', 'diamagnetic', 'properties', 'xray', 'photoelectron', 'spectroscopy', 'xps', 'was', 'to', 'establish', 'the', '3', 'valence', 'state', 'of', 'the', 've', 'and', 'ti', 'ions', 'furthermore', 'we', 'also', 'fabricated', 'delta', 'cto', 'doped', 'latio3', 'ltosto', 'thin', 'films', 'which', 'exhibit', 'variety', 'of', 'interesting', 'properties', 'including', 'kondo', 'effect', 'and', 'spin', 'orbit', 'interaction', 'soi', 'at', 'low', 'temperatures', 'soi', 'shows', 'a', 'nonmonotonic', 'behaviour', 'as', 'the', 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1,801.10082 | Modelling structure and predicting dynamics of discussion threads in
online boards | Internet boards are platforms for online discussions about a variety of
topics. On these boards, individuals may start a new thread on a specific
matter, or leave comments in an existing discussion. The resulting collective
process leads to the formation of `discussion trees', where nodes represent a
post and comments, and an edge represents a `reply-to' relation. The structure
of discussion trees has been analysed in previous works, but only from a static
perspective. In this paper, we focus on their structural and dynamical
properties by modelling their formation as a self-exciting Hawkes process. We
first study a Reddit dataset to show that the structure of the trees resemble
those produced by a Galton-Watson process with a special root offspring
distribution. The dynamical aspect of the model is then used to predict future
commenting activity and the final size of a discussion tree. We compare the
efficiency of our approach with previous works and show its superiority for the
prediction of the dynamics of discussions.
| cs.SI math.PR | internet boards are platforms for online discussions about a variety of topics on these boards individuals may start a new thread on a specific matter or leave comments in an existing discussion the resulting collective process leads to the formation of discussion trees where nodes represent a post and comments and an edge represents a replyto relation the structure of discussion trees has been analysed in previous works but only from a static perspective in this paper we focus on their structural and dynamical properties by modelling their formation as a selfexciting hawkes process we first study a reddit dataset to show that the structure of the trees resemble those produced by a galtonwatson process with a special root offspring distribution the dynamical aspect of the model is then used to predict future commenting activity and the final size of a discussion tree we compare the efficiency of our approach with previous works and show its superiority for the prediction of the dynamics of discussions | [['internet', 'boards', 'are', 'platforms', 'for', 'online', 'discussions', 'about', 'a', 'variety', 'of', 'topics', 'on', 'these', 'boards', 'individuals', 'may', 'start', 'a', 'new', 'thread', 'on', 'a', 'specific', 'matter', 'or', 'leave', 'comments', 'in', 'an', 'existing', 'discussion', 'the', 'resulting', 'collective', 'process', 'leads', 'to', 'the', 'formation', 'of', 'discussion', 'trees', 'where', 'nodes', 'represent', 'a', 'post', 'and', 'comments', 'and', 'an', 'edge', 'represents', 'a', 'replyto', 'relation', 'the', 'structure', 'of', 'discussion', 'trees', 'has', 'been', 'analysed', 'in', 'previous', 'works', 'but', 'only', 'from', 'a', 'static', 'perspective', 'in', 'this', 'paper', 'we', 'focus', 'on', 'their', 'structural', 'and', 'dynamical', 'properties', 'by', 'modelling', 'their', 'formation', 'as', 'a', 'selfexciting', 'hawkes', 'process', 'we', 'first', 'study', 'a', 'reddit', 'dataset', 'to', 'show', 'that', 'the', 'structure', 'of', 'the', 'trees', 'resemble', 'those', 'produced', 'by', 'a', 'galtonwatson', 'process', 'with', 'a', 'special', 'root', 'offspring', 'distribution', 'the', 'dynamical', 'aspect', 'of', 'the', 'model', 'is', 'then', 'used', 'to', 'predict', 'future', 'commenting', 'activity', 'and', 'the', 'final', 'size', 'of', 'a', 'discussion', 'tree', 'we', 'compare', 'the', 'efficiency', 'of', 'our', 'approach', 'with', 'previous', 'works', 'and', 'show', 'its', 'superiority', 'for', 'the', 'prediction', 'of', 'the', 'dynamics', 'of', 'discussions']] | [-0.11343209933569064, 0.087917160386363, -0.10149142537521562, 0.06485678076941019, -0.1288817085797058, -0.09554877718655029, 0.09130923875192998, 0.3884552167955695, -0.23073104206790648, -0.2973473649613968, 0.12498427224672036, -0.31436875190091795, -0.17251977777227806, 0.17928364714423037, -0.05571256616442442, 0.005116026805608715, 0.10264535501553881, 0.09763311389436173, -0.0353845469518735, -0.27185937440556635, 0.3409533793470118, 0.0983053977635303, 0.28661787755384177, 0.049449278229120666, 0.053901116968496, 0.009296133175134523, -0.10314290582702108, 0.01084233430305087, -0.13662241666338004, 0.10901445670411126, 0.20324338918052068, 0.16620000168005367, 0.3053079297561653, -0.41723350915921537, -0.21776579993652043, 0.06189947310982772, 0.12466815140711643, 0.12142450728442339, -0.06549314739645413, -0.29990705323161376, 0.07433303345453346, -0.18361701400632538, -0.09635045799489202, -0.025525707919037015, 0.028084555765750203, 0.04601607320790475, -0.21049883219245935, 0.026241200186721072, 0.09156700624039442, 0.050694419650315514, -0.014233421184344036, -0.1220832422450923, -0.02086967215788119, 0.1450613513887042, 0.0411037409072245, -0.005368693429329319, 0.16299750428453724, -0.1696318573412122, -0.19050162834421983, 0.372615728095719, -0.02312373647838263, -0.150508979643502, 0.20075997198213505, -0.10619797566110586, -0.17185903883470996, 0.055720272734505694, 0.24188582550325408, 0.10551119437327654, -0.1674963648284774, 0.023403007434553286, -0.059246002589977094, 0.15354775628302156, 0.040315036420574095, -0.013785925079080299, 0.22815078850438045, 0.24973851741467626, -0.0017346457873539227, 0.14829024282658881, -0.023161770129951124, -0.12796318937070306, -0.24570545269085503, -0.13312453415994419, -0.12128200923751403, 0.03278238379478841, -0.08497415299244472, -0.1843845105400627, 0.4162804174872978, 0.17108376733981792, 0.25865003531060476, 0.07160602784829169, 0.24594429450992653, 0.046630017303225656, 0.03657764883104303, 0.05226402530707873, 0.15943678229388486, 0.0871127476864608, 0.11497654686483168, -0.15803360881812006, 0.09628785442186111, 0.026695504981212363] |
1,801.10083 | Performance of Media-based Modulation in Multi-user Networks | High spectral efficiency and low power consumption are the most challenging
requirements of 5G networks since the number of devices are increased
drastically. Media-based modulation (MBM) is a promising scheme in order to
achieve these requirements. In this paper, the spectral efficiency of MBM
scheme in single- and multi-user networks is studied. To find the spectral
efficiency, information theoretical methods are used and tight lower- and
upper-bounds are derived for the achievable rate. The performance of the system
is studied for both correlated and uncorrelated constellation diagrams. It is
shown that the entries of the constellation diagram for the sum rate region of
multi-user case are always correlated. The characteristic of covariance matrix
is derived and its impact on performance assessed.
| cs.IT math.IT | high spectral efficiency and low power consumption are the most challenging requirements of 5g networks since the number of devices are increased drastically mediabased modulation mbm is a promising scheme in order to achieve these requirements in this paper the spectral efficiency of mbm scheme in single and multiuser networks is studied to find the spectral efficiency information theoretical methods are used and tight lower and upperbounds are derived for the achievable rate the performance of the system is studied for both correlated and uncorrelated constellation diagrams it is shown that the entries of the constellation diagram for the sum rate region of multiuser case are always correlated the characteristic of covariance matrix is derived and its impact on performance assessed | [['high', 'spectral', 'efficiency', 'and', 'low', 'power', 'consumption', 'are', 'the', 'most', 'challenging', 'requirements', 'of', '5g', 'networks', 'since', 'the', 'number', 'of', 'devices', 'are', 'increased', 'drastically', 'mediabased', 'modulation', 'mbm', 'is', 'a', 'promising', 'scheme', 'in', 'order', 'to', 'achieve', 'these', 'requirements', 'in', 'this', 'paper', 'the', 'spectral', 'efficiency', 'of', 'mbm', 'scheme', 'in', 'single', 'and', 'multiuser', 'networks', 'is', 'studied', 'to', 'find', 'the', 'spectral', 'efficiency', 'information', 'theoretical', 'methods', 'are', 'used', 'and', 'tight', 'lower', 'and', 'upperbounds', 'are', 'derived', 'for', 'the', 'achievable', 'rate', 'the', 'performance', 'of', 'the', 'system', 'is', 'studied', 'for', 'both', 'correlated', 'and', 'uncorrelated', 'constellation', 'diagrams', 'it', 'is', 'shown', 'that', 'the', 'entries', 'of', 'the', 'constellation', 'diagram', 'for', 'the', 'sum', 'rate', 'region', 'of', 'multiuser', 'case', 'are', 'always', 'correlated', 'the', 'characteristic', 'of', 'covariance', 'matrix', 'is', 'derived', 'and', 'its', 'impact', 'on', 'performance', 'assessed']] | [-0.20220268157422389, 0.03141985381068277, -0.002284230260286203, 0.0656939478613213, -0.008535871338022272, -0.14781821840866047, 0.073598674503309, 0.41209064176198373, -0.24221196125380787, -0.3179763035833343, 0.1199307517381385, -0.2399701929881145, -0.16663565806859781, 0.23022490004770274, -0.11264762772109614, 0.07767763471063457, 0.04806813535719248, 0.042284956915796666, -0.06764848886465669, -0.30431801433220873, 0.2725793111430527, 0.13853058193556286, 0.38238121062124625, 0.055640026353576705, 0.06175429099200925, -0.0625900620929435, -0.05093648306224957, -0.018116067602368426, -0.08818592838126414, 0.13202971527314444, 0.27134928827689697, 0.16530717413272122, 0.21607466448437085, -0.3396873831487268, -0.24319640338644077, 0.09779804070241564, 0.1754479729031667, 0.014836029426679631, -0.037016011466664715, -0.21412686997262592, 0.14942467528633957, -0.2100413532943026, -0.06428916830642145, -0.03320203453864256, -0.0072656514099991515, 0.07742735538785615, -0.3091078421239518, 0.07608677630797644, 0.018378484655510296, 0.016504918975555453, -0.01259182337616197, -0.16791804144370623, -0.004333812774212892, 0.15647781538692387, 0.008785730549172798, -0.016442830911991457, 0.09768751805478876, -0.15011612686457512, -0.07992666452345708, 0.39239260637103235, -0.0259178180472679, -0.19819434763755928, 0.16230812082490462, -0.14229975265165992, -0.09730395153241832, 0.1825164167964754, 0.20069443977876636, 0.09842816550931162, -0.15381560924901697, 0.05323360080485355, 0.035918132532849784, 0.1679269643269541, 0.036550387297564546, 0.16117951521757712, 0.1452911776521297, 0.20165971048178213, 0.09081361942524321, 0.1343054124115666, -0.13462318447110636, -0.11921992358436023, -0.19864369911903684, -0.10531924044028355, -0.23443943067369136, -0.03445374664719686, -0.1237411045323584, -0.06661958623103112, 0.3628380740013177, 0.12960038471135718, 0.14010144261453755, 0.08076616014115327, 0.34195763032791043, 0.17147014591042414, 0.028522795393354883, 0.07792482339230573, 0.25582629303863536, 0.12947112542754116, 0.10420172597273938, -0.2335534908978099, 0.06160567412229855, 0.012149973183654803] |
1,801.10084 | Creative Exploration Using Topic Based Bisociative Networks | Bisociative knowledge discovery is an approach that combines elements from
two or more "incompatible" domains to generate creative solutions and insight.
Inspired by Koestler's notion of bisociation, in this paper we propose a
computational framework for the discovery of new connections between domains to
promote creative discovery and inspiration in design. Specifically, we propose
using topic models on a large collection of unstructured text ideas from
multiple domains to discover creative sources of inspiration. We use these
topics to generate a Bisociative Information Network--- a graph that captures
conceptual similarity between ideas--- that helps designers find creative links
within that network. Using a dataset of thousands of ideas from OpenIDEO, an
online collaborative community, our results show usefulness of representing
conceptual bridges through collections of words (topics) in finding
cross-domain inspiration. We show that the discovered links between domains,
whether presented on their own or via ideas they inspired, are perceived to be
more novel and can also be used as creative stimuli for new idea generation.
| cs.SI cs.IR | bisociative knowledge discovery is an approach that combines elements from two or more incompatible domains to generate creative solutions and insight inspired by koestlers notion of bisociation in this paper we propose a computational framework for the discovery of new connections between domains to promote creative discovery and inspiration in design specifically we propose using topic models on a large collection of unstructured text ideas from multiple domains to discover creative sources of inspiration we use these topics to generate a bisociative information network a graph that captures conceptual similarity between ideas that helps designers find creative links within that network using a dataset of thousands of ideas from openideo an online collaborative community our results show usefulness of representing conceptual bridges through collections of words topics in finding crossdomain inspiration we show that the discovered links between domains whether presented on their own or via ideas they inspired are perceived to be more novel and can also be used as creative stimuli for new idea generation | [['bisociative', 'knowledge', 'discovery', 'is', 'an', 'approach', 'that', 'combines', 'elements', 'from', 'two', 'or', 'more', 'incompatible', 'domains', 'to', 'generate', 'creative', 'solutions', 'and', 'insight', 'inspired', 'by', 'koestlers', 'notion', 'of', 'bisociation', 'in', 'this', 'paper', 'we', 'propose', 'a', 'computational', 'framework', 'for', 'the', 'discovery', 'of', 'new', 'connections', 'between', 'domains', 'to', 'promote', 'creative', 'discovery', 'and', 'inspiration', 'in', 'design', 'specifically', 'we', 'propose', 'using', 'topic', 'models', 'on', 'a', 'large', 'collection', 'of', 'unstructured', 'text', 'ideas', 'from', 'multiple', 'domains', 'to', 'discover', 'creative', 'sources', 'of', 'inspiration', 'we', 'use', 'these', 'topics', 'to', 'generate', 'a', 'bisociative', 'information', 'network', 'a', 'graph', 'that', 'captures', 'conceptual', 'similarity', 'between', 'ideas', 'that', 'helps', 'designers', 'find', 'creative', 'links', 'within', 'that', 'network', 'using', 'a', 'dataset', 'of', 'thousands', 'of', 'ideas', 'from', 'openideo', 'an', 'online', 'collaborative', 'community', 'our', 'results', 'show', 'usefulness', 'of', 'representing', 'conceptual', 'bridges', 'through', 'collections', 'of', 'words', 'topics', 'in', 'finding', 'crossdomain', 'inspiration', 'we', 'show', 'that', 'the', 'discovered', 'links', 'between', 'domains', 'whether', 'presented', 'on', 'their', 'own', 'or', 'via', 'ideas', 'they', 'inspired', 'are', 'perceived', 'to', 'be', 'more', 'novel', 'and', 'can', 'also', 'be', 'used', 'as', 'creative', 'stimuli', 'for', 'new', 'idea', 'generation']] | [-0.034815241569756634, 0.06963987003909108, -0.10655078912774722, 0.07009387253151264, -0.19699526535646047, -0.11807009555042985, 0.08752956248339794, 0.4096344843000909, -0.3140920366873436, -0.33788857604721906, 0.053824367499651596, -0.2837886860893096, -0.265941862999979, 0.22579782420839759, -0.12438416540950399, -0.035676768161701386, 0.08448638584763732, 0.003994557866754792, -0.02967124074096734, -0.22872147977407475, 0.36970379955514715, 0.0031047996168059333, 0.31104157984624675, 0.04359635964813348, 0.11006688165915325, -0.0230502541891366, -0.10519129004225963, -0.008882526631674005, -0.08430964927111621, 0.23621476972101968, 0.33540577764355994, 0.2585876640967197, 0.3562383576868286, -0.45329034907878435, -0.21734488336944285, 0.05571057941954307, 0.1470160994902943, 0.1216989791561148, -0.10216156627790986, -0.34652224091674994, 0.09144717336734354, -0.1679114196708219, -0.06392380023730149, -0.1253588161837988, -0.023848655668121797, 0.007296863088907421, -0.23713240233382188, -0.027492988870635823, 0.08226587730862292, 0.05967459687388238, -0.016119756656095247, -0.10313041064669781, 0.07211974449168293, 0.18888539999700438, 0.039564605128238506, 0.005192315581047701, 0.10252754651204062, -0.16219811273787607, -0.2141577444121207, 0.36014807122518067, -0.022713947499366362, -0.20461167881472242, 0.24842445823122505, -0.013570464742197483, -0.16440735173262197, 0.06148478342795077, 0.25947338605894604, 0.09043948851054373, -0.19648468791346216, -0.016003327267416927, -0.04916844384767759, 0.18206125234949322, 0.07373780188190947, 0.0074825066998371005, 0.2399149289107479, 0.2148219816599409, 0.03640182842328041, 0.13509795614115802, -0.01913981135348203, -0.10798127899222353, -0.21822910193378325, -0.15019849112061898, -0.1815273304970038, 0.00868115448795351, -0.050542059288102195, -0.1270577624626314, 0.38905939861649164, 0.22070023917052664, 0.1886287299071059, 0.07025294795770336, 0.24287181084308726, -0.034690951827890525, 0.08266404771711677, 0.08140066043289815, 0.13871054665076282, 0.04424260509125658, 0.14471665805458656, -0.09430619339274679, 0.06497142577607093, 0.051116286759713185] |
1,801.10085 | Cosmological bouncing solutions in extended teleparallel gravity
theories | In the context of extended Teleparallel gravity theories with a 3+1
dimensions Gauss-Bonnet analog term, we address the possibility of these
theories reproducing several well-known cosmological bouncing scenarios in a
four-dimensional Friedmann-Lema\^itre-Robertson-Walker geometry. We shall study
which types of gravitational Lagrangians are capable of reconstructing bouncing
solutions provided by analytical expressions for symmetric, oscillatory,
superbounce, the matter bounce and singular bounce. Some of the Lagrangians
discovered are both analytical at the origin having Minkowski and Schwarzschild
as vacuum solutions. All these results open the possibility up for such
theories to be competitive candidates of extended theories of gravity in
cosmological scales.
| gr-qc hep-th | in the context of extended teleparallel gravity theories with a 31 dimensions gaussbonnet analog term we address the possibility of these theories reproducing several wellknown cosmological bouncing scenarios in a fourdimensional friedmannlemaitrerobertsonwalker geometry we shall study which types of gravitational lagrangians are capable of reconstructing bouncing solutions provided by analytical expressions for symmetric oscillatory superbounce the matter bounce and singular bounce some of the lagrangians discovered are both analytical at the origin having minkowski and schwarzschild as vacuum solutions all these results open the possibility up for such theories to be competitive candidates of extended theories of gravity in cosmological scales | [['in', 'the', 'context', 'of', 'extended', 'teleparallel', 'gravity', 'theories', 'with', 'a', '31', 'dimensions', 'gaussbonnet', 'analog', 'term', 'we', 'address', 'the', 'possibility', 'of', 'these', 'theories', 'reproducing', 'several', 'wellknown', 'cosmological', 'bouncing', 'scenarios', 'in', 'a', 'fourdimensional', 'friedmannlemaitrerobertsonwalker', 'geometry', 'we', 'shall', 'study', 'which', 'types', 'of', 'gravitational', 'lagrangians', 'are', 'capable', 'of', 'reconstructing', 'bouncing', 'solutions', 'provided', 'by', 'analytical', 'expressions', 'for', 'symmetric', 'oscillatory', 'superbounce', 'the', 'matter', 'bounce', 'and', 'singular', 'bounce', 'some', 'of', 'the', 'lagrangians', 'discovered', 'are', 'both', 'analytical', 'at', 'the', 'origin', 'having', 'minkowski', 'and', 'schwarzschild', 'as', 'vacuum', 'solutions', 'all', 'these', 'results', 'open', 'the', 'possibility', 'up', 'for', 'such', 'theories', 'to', 'be', 'competitive', 'candidates', 'of', 'extended', 'theories', 'of', 'gravity', 'in', 'cosmological', 'scales']] | [-0.18348157616092428, 0.1065106132750095, -0.0930964129257689, 0.1475362396328756, -0.09361809700045108, -0.1945961332548004, -0.09648846556423324, 0.2678406856894161, -0.1700971711168785, -0.2826691993355456, 0.08582533288880777, -0.2634864289424207, -0.15693302801118628, 0.16456342444266422, -0.020095152609824838, 0.055862541006195664, -0.029275651726097165, 0.012684347181774603, -0.10137910867515619, -0.2797996267159977, 0.3811934020296477, 0.04568251543263398, 0.16672294032713858, 0.006112143176026864, 0.0959803798365047, -0.11455563997785274, -0.01586529363804303, 0.05728993311266203, -0.20020352790851403, 0.05885624402377865, 0.2296568782548282, 0.11992333645904714, 0.18490589119143563, -0.43248471466474014, -0.30367679431075506, 0.11939779276231138, 0.1419218175002549, 0.1883308614758627, -0.07687040415620154, -0.3413301686396693, 0.05041023126185531, -0.18015918097606315, -0.19738709855142353, -0.08789157648893571, 0.02204861360403829, -0.06360461028283554, -0.1798000413518731, 0.10826882013663797, -0.015145459253857336, -0.050601247052597526, -0.12959149055122998, -0.06320605818228335, 0.039210273473901616, 0.030366772642857073, 0.12259335414792347, -0.025397690453354528, 0.09342215826249645, -0.17607158297064282, -0.14248646630693484, 0.4088334120040077, -0.12729525614050355, -0.22693584073740658, 0.16682193258611283, -0.15851724724110106, -0.1427051983036027, 0.0871711055388545, 0.10454073721672048, 0.1696152706114151, -0.14928986569221067, 0.1918365163440438, 0.014093945323867669, 0.059063385044787045, 0.18931684503101254, 0.058408576077643305, 0.3584778460277484, 0.09589308831958321, -0.016568526330560742, 0.10143032788856896, 0.0008736220839673118, -0.16164370029611458, -0.4270344348751138, -0.12322440510154656, -0.07755490128379684, 0.07253322280058176, -0.20891979996934487, -0.1732526703156752, 0.3688952891054646, 0.13702269733911104, 0.09944692598010349, 0.07570730174757946, 0.23553338577731117, 0.02577708084320668, 0.026523035268603574, 0.06962862813679299, 0.291058880960774, 0.12984959460509074, 0.10280634488191197, -0.20341287394247876, -0.10416611970983225, 0.09529006454429709] |
1,801.10086 | How adaptive immunity constrains the composition and fate of large
bacterial populations | Features of the CRISPR-Cas system, in which bacteria integrate small segments
of phage genome (spacers) into their DNA to neutralize future attacks, suggest
that its effect is not limited to individual bacteria but may control the fate
and structure of whole populations. Emphasizing the population-level impact of
the CRISPR-Cas system, recent experiments show that some bacteria regulate
CRISPR-associated genes via the quorum sensing (QS) pathway. Here we present a
model that shows that from the highly stochastic dynamics of individual spacers
under QS control emerges a rank-abundance distribution of spacers that is
time-invariant, a surprising prediction that we test with dynamic
spacer-tracking data from literature. This distribution depends on the state of
the competing phage-bacteria population, which due to QS-based regulation may
coexist in multiple stable states that vary significantly in their
phage-to-bacterium ratio, a widely used ecological measure to characterize
microbial systems.
| q-bio.PE | features of the crisprcas system in which bacteria integrate small segments of phage genome spacers into their dna to neutralize future attacks suggest that its effect is not limited to individual bacteria but may control the fate and structure of whole populations emphasizing the populationlevel impact of the crisprcas system recent experiments show that some bacteria regulate crisprassociated genes via the quorum sensing qs pathway here we present a model that shows that from the highly stochastic dynamics of individual spacers under qs control emerges a rankabundance distribution of spacers that is timeinvariant a surprising prediction that we test with dynamic spacertracking data from literature this distribution depends on the state of the competing phagebacteria population which due to qsbased regulation may coexist in multiple stable states that vary significantly in their phagetobacterium ratio a widely used ecological measure to characterize microbial systems | [['features', 'of', 'the', 'crisprcas', 'system', 'in', 'which', 'bacteria', 'integrate', 'small', 'segments', 'of', 'phage', 'genome', 'spacers', 'into', 'their', 'dna', 'to', 'neutralize', 'future', 'attacks', 'suggest', 'that', 'its', 'effect', 'is', 'not', 'limited', 'to', 'individual', 'bacteria', 'but', 'may', 'control', 'the', 'fate', 'and', 'structure', 'of', 'whole', 'populations', 'emphasizing', 'the', 'populationlevel', 'impact', 'of', 'the', 'crisprcas', 'system', 'recent', 'experiments', 'show', 'that', 'some', 'bacteria', 'regulate', 'crisprassociated', 'genes', 'via', 'the', 'quorum', 'sensing', 'qs', 'pathway', 'here', 'we', 'present', 'a', 'model', 'that', 'shows', 'that', 'from', 'the', 'highly', 'stochastic', 'dynamics', 'of', 'individual', 'spacers', 'under', 'qs', 'control', 'emerges', 'a', 'rankabundance', 'distribution', 'of', 'spacers', 'that', 'is', 'timeinvariant', 'a', 'surprising', 'prediction', 'that', 'we', 'test', 'with', 'dynamic', 'spacertracking', 'data', 'from', 'literature', 'this', 'distribution', 'depends', 'on', 'the', 'state', 'of', 'the', 'competing', 'phagebacteria', 'population', 'which', 'due', 'to', 'qsbased', 'regulation', 'may', 'coexist', 'in', 'multiple', 'stable', 'states', 'that', 'vary', 'significantly', 'in', 'their', 'phagetobacterium', 'ratio', 'a', 'widely', 'used', 'ecological', 'measure', 'to', 'characterize', 'microbial', 'systems']] | [-0.1387847984259549, 0.14169410778808275, -0.07836559279156582, 0.04623129418469034, -0.036762296544787076, -0.15793420594252114, 0.09294939994101047, 0.35757517545550527, -0.30309313542342614, -0.25146312656745845, 0.05766233903039912, -0.255692961236595, -0.23076908989875977, 0.17177133574649425, -0.09924546475854835, -0.01753630682734573, 0.06375773338201855, -0.00969148632804198, 0.0654142094526573, -0.21179337174398824, 0.26491161356846404, 0.06656175672209688, 0.31562699928014937, 0.0025351732682403444, 0.1036852363039673, -0.050508721112938866, 0.023178839896406445, 0.01359844927542976, -0.10935706012943618, 0.11324451498346337, 0.2745094460967396, 0.18038963223142282, 0.29184462250975357, -0.46173900714410204, -0.2636501415898757, 0.10651217539395605, 0.19059178436852692, 0.1402915909703422, -0.061824627171569904, -0.24677758241637743, 0.07594132847568419, -0.17353148881146419, -0.08934382434402194, -0.06990759781495269, 0.021827182445330048, 0.07608880574615406, -0.2390858800902996, 0.08979105573255636, 0.02774458816441308, 0.05097344187088311, -0.11633519643302341, -0.1099507398620647, -0.0768107723744054, 0.19136207420711537, 0.052678573105783603, -0.040912606241181496, 0.2529939663064267, -0.10758169118448027, -0.09928055203054101, 0.33348949890184615, -0.02160635644769562, -0.1930365365480871, 0.22837408461741038, -0.15831256632560065, -0.13509242715580122, 0.11894716151457813, 0.20731947311890378, 0.10921662307311115, -0.18691991446913953, -0.011415024122106843, -0.016237042440168027, 0.2217433270599161, 0.033627751108724624, 0.04488872087094933, 0.2096171948293756, 0.19684194139471012, 0.05039296957797238, 0.10969945176704121, -0.08139384613937832, -0.14447834346875815, -0.1656870461572128, -0.1073599939633693, -0.10929980630587255, 0.03811533292433263, -0.05611215857778526, -0.17991562286458376, 0.39093795857126157, 0.16167857852498335, 0.21256980296124572, 0.03844662803291742, 0.2404395133556266, -0.005871919476028, 0.09946046285414403, -0.0059260667833898745, 0.20641874553007905, 0.0713239701132157, 0.06662888517935893, -0.29110265563441706, 0.19060897396162285, -0.06906026140953014] |
1,801.10087 | The Benefits of Population Diversity in Evolutionary Algorithms: A
Survey of Rigorous Runtime Analyses | Population diversity is crucial in evolutionary algorithms to enable global
exploration and to avoid poor performance due to premature convergence. This
book chapter reviews runtime analyses that have shown benefits of population
diversity, either through explicit diversity mechanisms or through naturally
emerging diversity. These works show that the benefits of diversity are
manifold: diversity is important for global exploration and the ability to find
several global optima. Diversity enhances crossover and enables crossover to be
more effective than mutation. Diversity can be crucial in dynamic optimization,
when the problem landscape changes over time. And, finally, it facilitates
search for the whole Pareto front in evolutionary multiobjective optimization.
The presented analyses rigorously quantify the performance of evolutionary
algorithms in the light of population diversity, laying the foundation for a
rigorous understanding of how search dynamics are affected by the presence or
absence of population diversity and the introduction of diversity mechanisms.
| cs.NE | population diversity is crucial in evolutionary algorithms to enable global exploration and to avoid poor performance due to premature convergence this book chapter reviews runtime analyses that have shown benefits of population diversity either through explicit diversity mechanisms or through naturally emerging diversity these works show that the benefits of diversity are manifold diversity is important for global exploration and the ability to find several global optima diversity enhances crossover and enables crossover to be more effective than mutation diversity can be crucial in dynamic optimization when the problem landscape changes over time and finally it facilitates search for the whole pareto front in evolutionary multiobjective optimization the presented analyses rigorously quantify the performance of evolutionary algorithms in the light of population diversity laying the foundation for a rigorous understanding of how search dynamics are affected by the presence or absence of population diversity and the introduction of diversity mechanisms | [['population', 'diversity', 'is', 'crucial', 'in', 'evolutionary', 'algorithms', 'to', 'enable', 'global', 'exploration', 'and', 'to', 'avoid', 'poor', 'performance', 'due', 'to', 'premature', 'convergence', 'this', 'book', 'chapter', 'reviews', 'runtime', 'analyses', 'that', 'have', 'shown', 'benefits', 'of', 'population', 'diversity', 'either', 'through', 'explicit', 'diversity', 'mechanisms', 'or', 'through', 'naturally', 'emerging', 'diversity', 'these', 'works', 'show', 'that', 'the', 'benefits', 'of', 'diversity', 'are', 'manifold', 'diversity', 'is', 'important', 'for', 'global', 'exploration', 'and', 'the', 'ability', 'to', 'find', 'several', 'global', 'optima', 'diversity', 'enhances', 'crossover', 'and', 'enables', 'crossover', 'to', 'be', 'more', 'effective', 'than', 'mutation', 'diversity', 'can', 'be', 'crucial', 'in', 'dynamic', 'optimization', 'when', 'the', 'problem', 'landscape', 'changes', 'over', 'time', 'and', 'finally', 'it', 'facilitates', 'search', 'for', 'the', 'whole', 'pareto', 'front', 'in', 'evolutionary', 'multiobjective', 'optimization', 'the', 'presented', 'analyses', 'rigorously', 'quantify', 'the', 'performance', 'of', 'evolutionary', 'algorithms', 'in', 'the', 'light', 'of', 'population', 'diversity', 'laying', 'the', 'foundation', 'for', 'a', 'rigorous', 'understanding', 'of', 'how', 'search', 'dynamics', 'are', 'affected', 'by', 'the', 'presence', 'or', 'absence', 'of', 'population', 'diversity', 'and', 'the', 'introduction', 'of', 'diversity', 'mechanisms']] | [-0.08241939989694705, 0.045891073445479075, -0.10478892591316252, 0.13108902964508162, -0.10848046169926723, -0.11202538638375699, 0.10375402533914894, 0.38069072326955694, -0.29953007385134695, -0.37246179170906546, 0.09586961102671922, -0.19453650443038592, -0.22062021665585538, 0.1446878982335329, -0.08967754243096958, -0.0008689868139723937, 0.08005994750186801, -0.05399519539127747, -0.03576563904372354, -0.2795770470239222, 0.2824877053654442, 0.11150777554139495, 0.33527712831894557, 0.035455272598192096, 0.038192275356365525, -0.012711613181357582, -0.05669764791304866, 0.015690370202064513, -0.11580446075230914, 0.1155062900193055, 0.3171957903044919, 0.25924821151420474, 0.35810284927487374, -0.39142414910097917, -0.25047200013572973, 0.13662817490908008, 0.2457658286578953, 0.10842262089873354, -0.0826351734767862, -0.24162322060515484, 0.06626234041837355, -0.12235677199593435, -0.12356852067944904, -0.1082660262628148, -0.007142399437725544, 0.04801801793277263, -0.24312074517908816, 0.04628259903964742, 0.04185719467078646, 0.06776729499921202, -0.032110172086589346, -0.12460599324821184, -0.03413023367834588, 0.17637066747624583, 0.07426793007645756, -0.007541498914361, 0.12609109518428643, -0.13055343611631542, -0.13542042742172877, 0.3719453106572231, -0.027358840068433588, -0.16713400131712358, 0.25550231263662376, -0.10192379933781921, -0.10706676284316927, 0.20503483435759942, 0.22780252368655055, 0.07431865266524255, -0.18275220574083506, 0.03783082774956711, 0.06854980068281293, 0.1557019661211719, 0.023796667618056138, 0.08548914649523795, 0.21605367880314588, 0.26902518765845645, 0.10571624755393713, 0.10201344928238541, -0.034619006956539425, -0.20290059848998984, -0.18897431877131263, -0.12891166349872946, -0.11020652804213266, 0.012491159373894334, -0.1123698261064904, -0.10487533308934265, 0.39783925128479797, 0.19245592303263645, 0.1333335689889888, 0.06821511366404592, 0.2939422126238545, 0.02435217366864284, 0.04161007451941259, 0.040258899877468744, 0.22373261994216592, 0.05670829576284935, 0.10702472036937252, -0.269886330991673, 0.16624471693920592, 0.01144283775240183] |
1,801.10088 | An SPDE Model for Systemic Risk with Endogenous Contagion | We propose a dynamic mean field model for `systemic risk' in large financial
systems, which we derive from a system of interacting diffusions on the
positive half-line with an absorbing boundary at the origin. These diffusions
represent the distances-to-default of financial institutions and absorption at
zero corresponds to default. As a way of modelling correlated exposures and
herd behaviour, we consider a common source of noise and a form of
mean-reversion in the drift. Moreover, we introduce an endogenous contagion
mechanism whereby the default of one institution can cause a drop in the
distances-to-default of the other institutions. In this way, we aim to capture
key `system-wide' effects on risk. The resulting mean field limit is
characterized uniquely by a nonlinear SPDE on the half-line with a Dirichlet
boundary condition. The density of this SPDE gives the conditional law of a
non-standard `conditional' McKean--Vlasov diffusion, for which we provide a
novel upper Dirichlet heat kernel type estimate that is essential to the
proofs. Depending on the realizations of the common noise and the rate of mean
reversion, the SPDE can exhibit rapid accelerations in the loss of mass at the
boundary. In other words, the contagion mechanism can give rise to periods of
significant systemic default clustering.
| math.PR q-fin.MF | we propose a dynamic mean field model for systemic risk in large financial systems which we derive from a system of interacting diffusions on the positive halfline with an absorbing boundary at the origin these diffusions represent the distancestodefault of financial institutions and absorption at zero corresponds to default as a way of modelling correlated exposures and herd behaviour we consider a common source of noise and a form of meanreversion in the drift moreover we introduce an endogenous contagion mechanism whereby the default of one institution can cause a drop in the distancestodefault of the other institutions in this way we aim to capture key systemwide effects on risk the resulting mean field limit is characterized uniquely by a nonlinear spde on the halfline with a dirichlet boundary condition the density of this spde gives the conditional law of a nonstandard conditional mckeanvlasov diffusion for which we provide a novel upper dirichlet heat kernel type estimate that is essential to the proofs depending on the realizations of the common noise and the rate of mean reversion the spde can exhibit rapid accelerations in the loss of mass at the boundary in other words the contagion mechanism can give rise to periods of significant systemic default clustering | [['we', 'propose', 'a', 'dynamic', 'mean', 'field', 'model', 'for', 'systemic', 'risk', 'in', 'large', 'financial', 'systems', 'which', 'we', 'derive', 'from', 'a', 'system', 'of', 'interacting', 'diffusions', 'on', 'the', 'positive', 'halfline', 'with', 'an', 'absorbing', 'boundary', 'at', 'the', 'origin', 'these', 'diffusions', 'represent', 'the', 'distancestodefault', 'of', 'financial', 'institutions', 'and', 'absorption', 'at', 'zero', 'corresponds', 'to', 'default', 'as', 'a', 'way', 'of', 'modelling', 'correlated', 'exposures', 'and', 'herd', 'behaviour', 'we', 'consider', 'a', 'common', 'source', 'of', 'noise', 'and', 'a', 'form', 'of', 'meanreversion', 'in', 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1,801.10089 | Structural and electronic phase transitions in FePS$_3$ under the
application of pressure | Two-dimensional materials have proven to be a prolific breeding ground of new
and unstudied forms of magnetism and unusual metallic states, particularly when
tuned between their insulating and metallic phases. In this paper we present
work on a new metal to insulator transition system FePS$_3$ . This compound is
a two-dimensional van-der-Waals antiferromagnetic Mott insulator. Here we
report the discovery of an insulator-metal transition in FePS$_3$, as evidenced
by x-ray diffraction and electrical transport measurements, using high pressure
as a tuning parameter. Two structural phase transitions are observed in the
x-ray diffraction data as a function of pressure and resistivity measurements
show evidence of onset of a metallic state at high pressures. We propose models
for the two new structures that can successfully explain the x-ray diffraction
patterns.
| cond-mat.str-el | twodimensional materials have proven to be a prolific breeding ground of new and unstudied forms of magnetism and unusual metallic states particularly when tuned between their insulating and metallic phases in this paper we present work on a new metal to insulator transition system feps_3 this compound is a twodimensional vanderwaals antiferromagnetic mott insulator here we report the discovery of an insulatormetal transition in feps_3 as evidenced by xray diffraction and electrical transport measurements using high pressure as a tuning parameter two structural phase transitions are observed in the xray diffraction data as a function of pressure and resistivity measurements show evidence of onset of a metallic state at high pressures we propose models for the two new structures that can successfully explain the xray diffraction patterns | [['twodimensional', 'materials', 'have', 'proven', 'to', 'be', 'a', 'prolific', 'breeding', 'ground', 'of', 'new', 'and', 'unstudied', 'forms', 'of', 'magnetism', 'and', 'unusual', 'metallic', 'states', 'particularly', 'when', 'tuned', 'between', 'their', 'insulating', 'and', 'metallic', 'phases', 'in', 'this', 'paper', 'we', 'present', 'work', 'on', 'a', 'new', 'metal', 'to', 'insulator', 'transition', 'system', 'feps_3', 'this', 'compound', 'is', 'a', 'twodimensional', 'vanderwaals', 'antiferromagnetic', 'mott', 'insulator', 'here', 'we', 'report', 'the', 'discovery', 'of', 'an', 'insulatormetal', 'transition', 'in', 'feps_3', 'as', 'evidenced', 'by', 'xray', 'diffraction', 'and', 'electrical', 'transport', 'measurements', 'using', 'high', 'pressure', 'as', 'a', 'tuning', 'parameter', 'two', 'structural', 'phase', 'transitions', 'are', 'observed', 'in', 'the', 'xray', 'diffraction', 'data', 'as', 'a', 'function', 'of', 'pressure', 'and', 'resistivity', 'measurements', 'show', 'evidence', 'of', 'onset', 'of', 'a', 'metallic', 'state', 'at', 'high', 'pressures', 'we', 'propose', 'models', 'for', 'the', 'two', 'new', 'structures', 'that', 'can', 'successfully', 'explain', 'the', 'xray', 'diffraction', 'patterns']] | [-0.13555610973387958, 0.22867868178070058, -0.08115156325139106, 0.01975564324390143, -0.048889374563470485, -0.1480999189093709, 0.14930327220167966, 0.4249579904563725, -0.2694591235257685, -0.31842109863460066, 0.06164602019358426, -0.3385148086436093, -0.18433024734957143, 0.16799348843842746, 0.036545044366270305, 0.050613294576702175, -0.03814730071648955, -0.08480576337687672, -0.13589249637164175, -0.16143362410366535, 0.30746524081379173, 0.009947843759320677, 0.30046893456950785, 0.09288442461937665, 0.05547047883737832, -0.051349501399323344, 0.14889795273542406, 0.03605569065362215, -0.1558212220131536, 0.025847278060857206, 0.2993427833089663, -0.07266339315846562, 0.19314215986430644, -0.42786501498520374, -0.25335667496174574, -0.013463847119361163, 0.1258222541473806, 0.10580989687517285, -0.140327492745826, -0.28715016770362856, 0.029971138876862823, -0.1494608972147107, -0.1039234987818636, -0.15203723272681235, -0.03522154548764229, -0.018270378183573483, -0.2350813530087471, 0.10134149076417089, 0.04468614480271935, 0.12978637233562768, -0.14892792754992842, -0.09076282093953342, -0.034098933193832635, 0.06517046811734326, 0.019186832068488, 0.040973917324095964, 0.11667141518369317, -0.14404400581028312, -0.13201832102239133, 0.35102749279141426, -0.029707882689312102, -0.0006243510618805885, 0.21484526159986853, -0.22101056700397748, -0.12427957036718726, 0.17071465149149298, 0.14438877818733453, 0.10554343727603555, -0.15474735097459053, 0.0012566499128006399, -0.015794227443635463, 0.20099718391150237, 0.015998064689338207, 0.059057840812951325, 0.26977054284140467, 0.24291614148952068, -0.0002759751956909895, 0.20232503688242287, -0.15067801289074123, 0.01937177374958992, -0.19212516952306033, -0.2072858168594539, -0.21549824608117343, 0.04278608578816056, -0.02917488253803458, -0.22387973399460315, 0.3664953577034175, 0.1367390859266743, 0.19979634010791777, -0.08583120421506464, 0.2616363811595365, 0.0932109089740552, 0.01974761076644063, -0.0026022398034110665, 0.26309093957394364, 0.15779236937314273, 0.1456697438582778, -0.23366195424273611, 0.12273669212311507, 0.001085215799510479] |
1,801.1009 | Asymptotic Analysis for Low-Resolution Massive MIMO Systems with MMSE
Receiver | The uplink achievable rate of massive multiple- input-multiple-output (MIMO)
systems, where the low-resolution analog-to-digital converters (ADCs) are
assumed to equip at the base station (BS), is investigated in this paper. We
assume that only imperfect channel station information is known at the BS. Then
a new MMSE receiver is designed by taking not only the Gaussian noise, but also
the channel estimation error and quantizer noise into account. By using the
Stieltjes transform of random matrix, we further derive a tight asymptotic
equivalent for the uplink achievable rate with proposed MMSE receiver. We
present a detailed analysis for the number of BS antennas through the
expression of the achievable rates and validate the results using numerical
simulations. It is also shown that we can compensate the performance loss due
to the low-resolution quantization by increasing the number of antennas at the
BS.
| cs.IT math.IT | the uplink achievable rate of massive multiple inputmultipleoutput mimo systems where the lowresolution analogtodigital converters adcs are assumed to equip at the base station bs is investigated in this paper we assume that only imperfect channel station information is known at the bs then a new mmse receiver is designed by taking not only the gaussian noise but also the channel estimation error and quantizer noise into account by using the stieltjes transform of random matrix we further derive a tight asymptotic equivalent for the uplink achievable rate with proposed mmse receiver we present a detailed analysis for the number of bs antennas through the expression of the achievable rates and validate the results using numerical simulations it is also shown that we can compensate the performance loss due to the lowresolution quantization by increasing the number of antennas at the bs | [['the', 'uplink', 'achievable', 'rate', 'of', 'massive', 'multiple', 'inputmultipleoutput', 'mimo', 'systems', 'where', 'the', 'lowresolution', 'analogtodigital', 'converters', 'adcs', 'are', 'assumed', 'to', 'equip', 'at', 'the', 'base', 'station', 'bs', 'is', 'investigated', 'in', 'this', 'paper', 'we', 'assume', 'that', 'only', 'imperfect', 'channel', 'station', 'information', 'is', 'known', 'at', 'the', 'bs', 'then', 'a', 'new', 'mmse', 'receiver', 'is', 'designed', 'by', 'taking', 'not', 'only', 'the', 'gaussian', 'noise', 'but', 'also', 'the', 'channel', 'estimation', 'error', 'and', 'quantizer', 'noise', 'into', 'account', 'by', 'using', 'the', 'stieltjes', 'transform', 'of', 'random', 'matrix', 'we', 'further', 'derive', 'a', 'tight', 'asymptotic', 'equivalent', 'for', 'the', 'uplink', 'achievable', 'rate', 'with', 'proposed', 'mmse', 'receiver', 'we', 'present', 'a', 'detailed', 'analysis', 'for', 'the', 'number', 'of', 'bs', 'antennas', 'through', 'the', 'expression', 'of', 'the', 'achievable', 'rates', 'and', 'validate', 'the', 'results', 'using', 'numerical', 'simulations', 'it', 'is', 'also', 'shown', 'that', 'we', 'can', 'compensate', 'the', 'performance', 'loss', 'due', 'to', 'the', 'lowresolution', 'quantization', 'by', 'increasing', 'the', 'number', 'of', 'antennas', 'at', 'the', 'bs']] | [-0.21798473104738783, 0.04088174544129494, -0.027996624250242366, 0.03620118550883593, -0.05627439844468278, -0.2366443624858685, 0.1463631404958441, 0.3759201219212924, -0.2309626387481756, -0.25277488595138947, 0.1276321254417974, -0.23365373689192512, -0.19752867793059967, 0.13562002050333677, -0.12482188629475258, 0.06062307957467352, 0.08498494902044429, 0.08283497570148597, -0.05452018605003543, -0.2554275805802672, 0.28093536501974925, 0.17253534180435834, 0.3339325276051536, -0.04531398001093919, 0.14357219224941012, -0.0012947008416637883, -0.044519946798153805, -0.05674721443272652, -0.11927430538499005, 0.025994938208741394, 0.29794019783998954, 0.16730649770627207, 0.260935801114385, -0.4169272348905603, -0.22926706677725447, 0.07058427112378471, 0.1899091205823876, 0.06340723839449755, -0.056815425277496064, -0.27347718034078305, 0.15877997097790453, -0.21344731012953722, -5.465871093015299e-05, 0.02220197899617149, -0.10008149931920653, 0.07640893568436727, -0.40400139140361485, 0.018145487491447638, -0.007915015173877807, 0.02540216779217441, -0.0353959899887786, -0.17844006511983826, 0.018833085494974616, 0.1493665160857313, 0.036423069025317195, -0.03548192728644382, 0.0706595046666999, -0.06875238188951943, -0.007797190645405798, 0.3131132901494279, -0.02520854653400891, -0.2820841510588607, 0.1211729596694271, -0.18301082860533122, -0.06356566158785479, 0.2103662070098287, 0.2316616229805435, 0.04583183598394195, -0.1956712437978556, 0.04960478274878247, -0.0025910298894853035, 0.2086122599017562, 0.07341092424995616, 0.12863887347287584, 0.15179594110281386, 0.1783318149176895, 0.09171845909275762, 0.1503201282553454, -0.19925149106123347, -0.06518847077213069, -0.2577025014217712, -0.12488131254667033, -0.2801282913952485, 0.009728655936662934, -0.09243251971140048, -0.010352874320646062, 0.31192618154042157, 0.13727299425526396, 0.1002739045227356, 0.15669269058424054, 0.44315485281090367, 0.16737294135819988, 0.039866954666159464, 0.1109210414983702, 0.22682367606998374, 0.1791743359558205, 0.09437990015214111, -0.2458586234183229, 0.014706032637982293, -0.0026906332651694827] |
1,801.10091 | An Efficient Generalized Shift-Rule for the Prefer-Max De Bruijn
Sequence | One of the fundamental ways to construct De Bruijn sequences is by using a
shift-rule. A shift-rule receives a word as an argument and computes the symbol
that appears after it in the sequence. An optimal shift-rule for an $(n,k)$-De
Bruijn sequence runs in time $O(n)$. We propose an extended notion we name a
generalized-shift-rule, which receives a word, $w$, and an integer, $c$, and
outputs the $c$ symbols that comes after $w$. An optimal generalized-shift-rule
for an $(n,k)$-De Bruijn sequence runs in time $O(n+c)$. We show that, unlike
in the case of a shift-rule, a time optimal generalized-shift-rule allows to
construct the entire sequence efficiently. We provide a time optimal
generalized-shift-rule for the well-known prefer-max and prefer-min De Bruijn
sequences.
| cs.DM | one of the fundamental ways to construct de bruijn sequences is by using a shiftrule a shiftrule receives a word as an argument and computes the symbol that appears after it in the sequence an optimal shiftrule for an nkde bruijn sequence runs in time on we propose an extended notion we name a generalizedshiftrule which receives a word w and an integer c and outputs the c symbols that comes after w an optimal generalizedshiftrule for an nkde bruijn sequence runs in time onc we show that unlike in the case of a shiftrule a time optimal generalizedshiftrule allows to construct the entire sequence efficiently we provide a time optimal generalizedshiftrule for the wellknown prefermax and prefermin de bruijn sequences | [['one', 'of', 'the', 'fundamental', 'ways', 'to', 'construct', 'de', 'bruijn', 'sequences', 'is', 'by', 'using', 'a', 'shiftrule', 'a', 'shiftrule', 'receives', 'a', 'word', 'as', 'an', 'argument', 'and', 'computes', 'the', 'symbol', 'that', 'appears', 'after', 'it', 'in', 'the', 'sequence', 'an', 'optimal', 'shiftrule', 'for', 'an', 'nkde', 'bruijn', 'sequence', 'runs', 'in', 'time', 'on', 'we', 'propose', 'an', 'extended', 'notion', 'we', 'name', 'a', 'generalizedshiftrule', 'which', 'receives', 'a', 'word', 'w', 'and', 'an', 'integer', 'c', 'and', 'outputs', 'the', 'c', 'symbols', 'that', 'comes', 'after', 'w', 'an', 'optimal', 'generalizedshiftrule', 'for', 'an', 'nkde', 'bruijn', 'sequence', 'runs', 'in', 'time', 'onc', 'we', 'show', 'that', 'unlike', 'in', 'the', 'case', 'of', 'a', 'shiftrule', 'a', 'time', 'optimal', 'generalizedshiftrule', 'allows', 'to', 'construct', 'the', 'entire', 'sequence', 'efficiently', 'we', 'provide', 'a', 'time', 'optimal', 'generalizedshiftrule', 'for', 'the', 'wellknown', 'prefermax', 'and', 'prefermin', 'de', 'bruijn', 'sequences']] | [-0.14300682683775234, 0.09449004146289693, -0.11866657753767035, 0.07775848790296842, -0.059952580022736124, -0.11275470338098831, 0.07006483730639063, 0.35508619510900163, -0.3138960212847944, -0.2631951885424175, 0.08409269090536665, -0.24213665057088632, -0.15728670263947067, 0.18898829773573553, -0.1315862792938695, -0.0003742752083719282, 0.07269663191637245, 0.11542876061447699, -0.02481731820666089, -0.2533257598357307, 0.2922835625092483, 0.059033702048709835, 0.19397429125067794, -0.09788044195196008, 0.1540153849262239, 0.06837816752682803, -0.032018366687086616, -0.07735602945973308, -0.14393660379863507, 0.07361622996849276, 0.2754487680740875, 0.2051231292652566, 0.30207811524870537, -0.3580405831305405, -0.1230481399175853, 0.11735465980955731, 0.1529149532286545, 0.15789918314519544, -0.055088181002262857, -0.2177454480039098, 0.1346776930978364, -0.14040746343503627, -0.04156025383479388, 0.0005510348644871186, 0.08812838164552794, -0.028588076816650772, -0.3226793303126785, -0.02200508815773084, 0.08903374803899708, -0.03157065526219243, -0.029597719042597465, -0.09852018468555505, 0.018175938985531485, 0.1557776251012633, -0.03167997405793265, 0.11654818409233023, 0.019695847004186362, -0.05155451142750049, -0.19414159922339655, 0.32118006693041423, -0.13094090095373911, -0.15956326428863962, 0.11574848520301156, -0.03787015666159154, -0.16739161973976988, 0.1053273409320894, 0.09131467306070913, 0.15581115546944094, -0.07822388124068157, 0.122017080577927, -0.061344033486004604, 0.25436809975496033, 0.14520393697134518, -0.013212139891870952, 0.1597622679230773, 0.11274459478208575, 0.10136787658872998, 0.16325710655458398, -0.05253098653116405, -0.06089249481170801, -0.26391691804796424, -0.2064753520308394, -0.18555197163911188, 0.03157548416974181, -0.13247180454999255, -0.20493901264261832, 0.37131183493440434, 0.10342065885000057, 0.20965157307179297, 0.15492574250724134, 0.2191533721959755, 0.11394737402699351, 0.03959284507929963, 0.10167364999691372, 0.0710769147785791, 0.03783422604921448, 0.10340806750691164, -0.17640086277230185, 0.04134304671532522, 0.1498962804769813] |
1,801.10092 | Surface Deposition of the Enceladus Plume and the Zenith Angle of
Emissions | Since the discovery of an ice particle plume erupting from the south polar
terrain on Saturn's moon Enceladus, the geophysical mechanisms driving its
activity have been the focus of substantial scientific research. The pattern
and deposition rate of plume material on Enceladus' surface is of interest
because it provides valuable information about the dynamics of the ice particle
ejection as well as the surface erosion. Surface deposition maps derived from
numerical plume simulations by Kempf et al. (2010) have been used by various
researchers to interpret data obtained by various Cassini instruments. Here, an
updated and detailed set of deposition maps is provided based on a deep-source
plume model (Schmidt et al., 2008), for the eight ice-particle jets identified
in Spitale and Porco (2007), the updated set of jets proposed in Porco et al.
(2014), and a contrasting curtain-style plume proposed in Spitale et al.
(2015). Methods for computing the surface deposition are detailed, and the
structure of surface deposition patterns is shown to be consistent across
changes in the production rate and size distribution of the plume. Maps are
also provided of the surface deposition structure originating in each of the
four Tiger Stripes. Finally, the differing approaches used in Porco et al.
(2014) and Spitale et al. (2015) have given rise to a jets vs. curtains
controversy regarding the emission structure of the Enceladus plume. Here we
simulate each, leading to new insight that, over time, most emissions must be
directed relatively orthogonal to the surface because jets "tilted"
significantly away from orthogonal lead to surface deposition patterns
inconsistent with surface images.
Data for maps are available in HDF5 format for a variety of particle sizes at
http://impact.colorado.edu/southworth_data.
| astro-ph.EP | since the discovery of an ice particle plume erupting from the south polar terrain on saturns moon enceladus the geophysical mechanisms driving its activity have been the focus of substantial scientific research the pattern and deposition rate of plume material on enceladus surface is of interest because it provides valuable information about the dynamics of the ice particle ejection as well as the surface erosion surface deposition maps derived from numerical plume simulations by kempf et al 2010 have been used by various researchers to interpret data obtained by various cassini instruments here an updated and detailed set of deposition maps is provided based on a deepsource plume model schmidt et al 2008 for the eight iceparticle jets identified in spitale and porco 2007 the updated set of jets proposed in porco et al 2014 and a contrasting curtainstyle plume proposed in spitale et al 2015 methods for computing the surface deposition are detailed and the structure of surface deposition patterns is shown to be consistent across changes in the production rate and size distribution of the plume maps are also provided of the surface deposition structure originating in each of the four tiger stripes finally the differing approaches used in porco et al 2014 and spitale et al 2015 have given rise to a jets vs curtains controversy regarding the emission structure of the enceladus plume here we simulate each leading to new insight that over time most emissions must be directed relatively orthogonal to the surface because jets tilted significantly away from orthogonal lead to surface deposition patterns inconsistent with surface images data for maps are available in hdf5 format for a variety of particle sizes at httpimpactcoloradoedusouthworth_data | [['since', 'the', 'discovery', 'of', 'an', 'ice', 'particle', 'plume', 'erupting', 'from', 'the', 'south', 'polar', 'terrain', 'on', 'saturns', 'moon', 'enceladus', 'the', 'geophysical', 'mechanisms', 'driving', 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1,801.10093 | Dynamic Chemical Model for H2/O2 Combustion Developed Through a
Community Workflow | Elementary-reaction models for H2/O2 combustion were evaluated and optimized
through a collaborative workflow, establishing accuracy and characterizing
uncertainties. Quantitative findings were the optimized model, the importance
of $\text{H}_2 + \text{O}_2(1\Delta) = \text{H} + \text{HO}_2$ in high-pressure
flames, and the inconsistency of certain low-temperature shock-tube data. The
workflow described here is proposed to be even more important because the
approach and publicly available cyberinfrastructure allows future community
development of evolving improvements. The workflow steps applied here were to
develop an initial reaction set using Burke et al. [2012], Burke et al. [2013],
Sellevag et al. [2009], and Konnov [2015]; test it for thermodynamic and
kinetics consistency and plausibility against other sets in the literature;
assign estimated uncertainties where not stated in the sources; select key data
targets ("Quantities of Interest" or QOIs) from shock-tube and flame
experimental data; perform conventional sensitivity analyses of QOIs with
respect to Arrhenius pre-exponential factors; develop surrogate models for the
model-predicted QOI values; evaluate model-vs.-data consistency using
Bound-to-Bound Data Collaboration; and optimize model parameters within their
estimated uncertainty bounds (feasible set). Necessary data and software for
such analyses were developed and are publicly available through the PrIMe
cyberinfrastructure. This community workflow proved to be a means to reveal
inconsistencies, improvements, and uncertainty bounds. Even more significantly,
it is a means of revealing which parameters and experimental findings are
inconsistent with the larger body of work from the community and, thus, of
designing new experiments and parameter calculations.
| physics.chem-ph | elementaryreaction models for h2o2 combustion were evaluated and optimized through a collaborative workflow establishing accuracy and characterizing uncertainties quantitative findings were the optimized model the importance of texth_2 texto_21delta texth textho_2 in highpressure flames and the inconsistency of certain lowtemperature shocktube data the workflow described here is proposed to be even more important because the approach and publicly available cyberinfrastructure allows future community development of evolving improvements the workflow steps applied here were to develop an initial reaction set using burke et al 2012 burke et al 2013 sellevag et al 2009 and konnov 2015 test it for thermodynamic and kinetics consistency and plausibility against other sets in the literature assign estimated uncertainties where not stated in the sources select key data targets quantities of interest or qois from shocktube and flame experimental data perform conventional sensitivity analyses of qois with respect to arrhenius preexponential factors develop surrogate models for the modelpredicted qoi values evaluate modelvsdata consistency using boundtobound data collaboration and optimize model parameters within their estimated uncertainty bounds feasible set necessary data and software for such analyses were developed and are publicly available through the prime cyberinfrastructure this community workflow proved to be a means to reveal inconsistencies improvements and uncertainty bounds even more significantly it is a means of revealing which parameters and experimental findings are inconsistent with the larger body of work from the community and thus of designing new experiments and parameter calculations | [['elementaryreaction', 'models', 'for', 'h2o2', 'combustion', 'were', 'evaluated', 'and', 'optimized', 'through', 'a', 'collaborative', 'workflow', 'establishing', 'accuracy', 'and', 'characterizing', 'uncertainties', 'quantitative', 'findings', 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1,801.10094 | Anomaly detection in wide area network mesh using two machine learning
anomaly detection algorithms | Anomaly detection is the practice of identifying items or events that do not
conform to an expected behavior or do not correlate with other items in a
dataset. It has previously been applied to areas such as intrusion detection,
system health monitoring, and fraud detection in credit card transactions. In
this paper, we describe a new method for detecting anomalous behavior over
network performance data, gathered by perfSONAR, using two machine learning
algorithms: Boosted Decision Trees (BDT) and Simple Feedforward Neural Network.
The effectiveness of each algorithm was evaluated and compared. Both have shown
sufficient performance and sensitivity.
| cs.NI cs.LG | anomaly detection is the practice of identifying items or events that do not conform to an expected behavior or do not correlate with other items in a dataset it has previously been applied to areas such as intrusion detection system health monitoring and fraud detection in credit card transactions in this paper we describe a new method for detecting anomalous behavior over network performance data gathered by perfsonar using two machine learning algorithms boosted decision trees bdt and simple feedforward neural network the effectiveness of each algorithm was evaluated and compared both have shown sufficient performance and sensitivity | [['anomaly', 'detection', 'is', 'the', 'practice', 'of', 'identifying', 'items', 'or', 'events', 'that', 'do', 'not', 'conform', 'to', 'an', 'expected', 'behavior', 'or', 'do', 'not', 'correlate', 'with', 'other', 'items', 'in', 'a', 'dataset', 'it', 'has', 'previously', 'been', 'applied', 'to', 'areas', 'such', 'as', 'intrusion', 'detection', 'system', 'health', 'monitoring', 'and', 'fraud', 'detection', 'in', 'credit', 'card', 'transactions', 'in', 'this', 'paper', 'we', 'describe', 'a', 'new', 'method', 'for', 'detecting', 'anomalous', 'behavior', 'over', 'network', 'performance', 'data', 'gathered', 'by', 'perfsonar', 'using', 'two', 'machine', 'learning', 'algorithms', 'boosted', 'decision', 'trees', 'bdt', 'and', 'simple', 'feedforward', 'neural', 'network', 'the', 'effectiveness', 'of', 'each', 'algorithm', 'was', 'evaluated', 'and', 'compared', 'both', 'have', 'shown', 'sufficient', 'performance', 'and', 'sensitivity']] | [-0.06224381283391267, -0.0019305130482120824, -0.050960182864579, 0.07479433145028413, -0.1293025254511956, -0.21478726434492573, 0.06866225862837176, 0.4496386590768996, -0.21304156265903226, -0.3460619821184382, 0.1416315696737489, -0.33677708007126433, -0.20843543460323793, 0.19879463502954806, -0.1350345755975271, 0.10651303324656389, 0.1102528246215631, 0.11461212852556911, 0.002228641778725132, -0.3256804792392884, 0.24301042208044799, 0.06493951580919248, 0.3566385826537597, 0.05504623219399646, 0.08860326512145435, -0.016129987758401895, -0.04642891660380686, 0.058688253027473374, -0.023664207570149788, 0.06812745520662632, 0.3554081220501439, 0.22140466376476603, 0.310125892785061, -0.3929464585080589, -0.2078413460739725, 0.1678724886595089, 0.15027149745980853, 0.060084014871762584, -0.035176070272615274, -0.3429132487970529, 0.09832935131961461, -0.2296727060234731, -0.00810544499551359, -0.13930210612291835, -0.00970480496486284, -0.005930340384401996, -0.25098395831498904, 0.011960624837191756, 0.020350742199429377, 0.09393205951668859, -0.03222979154418578, -0.1052449273087142, 0.038045602821812186, 0.1546175415320418, 0.05350649132892566, 0.0067632581664191695, 0.1852880391657122, -0.1725167888624728, -0.24852776763115808, 0.33314585461300444, -0.05419622193397858, -0.17581786820424972, 0.21284961941191138, -0.035823801085928975, -0.18845828767558656, 0.12843303909506074, 0.25759372505906625, 0.0929901868767422, -0.22880929357074586, -0.0355963570032192, -0.02273756678494596, 0.17316411319428804, 0.06599412060861197, -0.041429839171373196, 0.16459989498282984, 0.25347294768837003, 0.043576064478778806, 0.09918853984341582, -0.1445480385007932, -0.031011845935712157, -0.1724642510189838, -0.13173287430989375, -0.17337489592573924, -0.024489744957332433, -0.04840409151247232, -0.17129141763518757, 0.37681093201348465, 0.23132151987442037, 0.17152658794987372, 0.08459585193621437, 0.31992518220855326, 0.03821884226546018, 0.1257003212501247, 0.10130987487512536, 0.21211394565131939, 0.0044652092841828295, 0.1429544880532554, -0.1545679086924905, 0.19733743273086615, 0.007133519171362685] |
1,801.10095 | TransRev: Modeling Reviews as Translations from Users to Items | The text of a review expresses the sentiment a customer has towards a
particular product. This is exploited in sentiment analysis where machine
learning models are used to predict the review score from the text of the
review. Furthermore, the products costumers have purchased in the past are
indicative of the products they will purchase in the future. This is what
recommender systems exploit by learning models from purchase information to
predict the items a customer might be interested in. We propose TransRev, an
approach to the product recommendation problem that integrates ideas from
recommender systems, sentiment analysis, and multi-relational learning into a
joint learning objective. TransRev learns vector representations for users,
items, and reviews. The embedding of a review is learned such that (a) it
performs well as input feature of a regression model for sentiment prediction;
and (b) it always translates the reviewer embedding to the embedding of the
reviewed items. This allows TransRev to approximate a review embedding at test
time as the difference of the embedding of each item and the user embedding.
The approximated review embedding is then used with the regression model to
predict the review score for each item. TransRev outperforms state of the art
recommender systems on a large number of benchmark data sets. Moreover, it is
able to retrieve, for each user and item, the review text from the training set
whose embedding is most similar to the approximated review embedding.
| cs.IR cs.CL | the text of a review expresses the sentiment a customer has towards a particular product this is exploited in sentiment analysis where machine learning models are used to predict the review score from the text of the review furthermore the products costumers have purchased in the past are indicative of the products they will purchase in the future this is what recommender systems exploit by learning models from purchase information to predict the items a customer might be interested in we propose transrev an approach to the product recommendation problem that integrates ideas from recommender systems sentiment analysis and multirelational learning into a joint learning objective transrev learns vector representations for users items and reviews the embedding of a review is learned such that a it performs well as input feature of a regression model for sentiment prediction and b it always translates the reviewer embedding to the embedding of the reviewed items this allows transrev to approximate a review embedding at test time as the difference of the embedding of each item and the user embedding the approximated review embedding is then used with the regression model to predict the review score for each item transrev outperforms state of the art recommender systems on a large number of benchmark data sets moreover it is able to retrieve for each user and item the review text from the training set whose embedding is most similar to the approximated review embedding | [['the', 'text', 'of', 'a', 'review', 'expresses', 'the', 'sentiment', 'a', 'customer', 'has', 'towards', 'a', 'particular', 'product', 'this', 'is', 'exploited', 'in', 'sentiment', 'analysis', 'where', 'machine', 'learning', 'models', 'are', 'used', 'to', 'predict', 'the', 'review', 'score', 'from', 'the', 'text', 'of', 'the', 'review', 'furthermore', 'the', 'products', 'costumers', 'have', 'purchased', 'in', 'the', 'past', 'are', 'indicative', 'of', 'the', 'products', 'they', 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1,801.10096 | Direct dark matter search by annual modulation with 2.7 years of XMASS-I
data | An annual modulation signal due to the Earth orbiting around the Sun would be
one of the strongest indications of the direct detection of dark matter. In
2016, we reported a search for dark matter by looking for this annual
modulation with our single-phase liquid xenon XMASS-I detector. That analysis
resulted in a slightly negative modulation amplitude at low energy. In this
work, we included more than one year of additional data, which more than
doubles the exposure to 800 live days with the same 832 kg target mass. When we
assume weakly interacting massive particle (WIMP) dark matter elastically
scattering on the xenon target, the exclusion upper limit for the WIMP-nucleon
cross section was improved by a factor of 2 to 1.9$\times$10$^{-41}$cm$^2$ at 8
GeV/c$^2$ at 90\% confidence level with our newly implemented data selection
through a likelihood method. For the model-independent case, without assuming
any specific dark matter model, we obtained more consistency with the null
hypothesis than before with a $p$-value of 0.11 in the 1$-$20 keV energy
region. This search probed this region with an exposure that was larger than
that of DAMA/LIBRA. We also did not find any significant amplitude in the data
for periodicity with periods between 50 and 600 days in the energy region
between 1 to 6 keV.
| astro-ph.CO hep-ex nucl-ex | an annual modulation signal due to the earth orbiting around the sun would be one of the strongest indications of the direct detection of dark matter in 2016 we reported a search for dark matter by looking for this annual modulation with our singlephase liquid xenon xmassi detector that analysis resulted in a slightly negative modulation amplitude at low energy in this work we included more than one year of additional data which more than doubles the exposure to 800 live days with the same 832 kg target mass when we assume weakly interacting massive particle wimp dark matter elastically scattering on the xenon target the exclusion upper limit for the wimpnucleon cross section was improved by a factor of 2 to 19times1041cm2 at 8 gevc2 at 90 confidence level with our newly implemented data selection through a likelihood method for the modelindependent case without assuming any specific dark matter model we obtained more consistency with the null hypothesis than before with a pvalue of 011 in the 120 kev energy region this search probed this region with an exposure that was larger than that of damalibra we also did not find any significant amplitude in the data for periodicity with periods between 50 and 600 days in the energy region between 1 to 6 kev | [['an', 'annual', 'modulation', 'signal', 'due', 'to', 'the', 'earth', 'orbiting', 'around', 'the', 'sun', 'would', 'be', 'one', 'of', 'the', 'strongest', 'indications', 'of', 'the', 'direct', 'detection', 'of', 'dark', 'matter', 'in', '2016', 'we', 'reported', 'a', 'search', 'for', 'dark', 'matter', 'by', 'looking', 'for', 'this', 'annual', 'modulation', 'with', 'our', 'singlephase', 'liquid', 'xenon', 'xmassi', 'detector', 'that', 'analysis', 'resulted', 'in', 'a', 'slightly', 'negative', 'modulation', 'amplitude', 'at', 'low', 'energy', 'in', 'this', 'work', 'we', 'included', 'more', 'than', 'one', 'year', 'of', 'additional', 'data', 'which', 'more', 'than', 'doubles', 'the', 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'also', 'did', 'not', 'find', 'any', 'significant', 'amplitude', 'in', 'the', 'data', 'for', 'periodicity', 'with', 'periods', 'between', '50', 'and', '600', 'days', 'in', 'the', 'energy', 'region', 'between', '1', 'to', '6', 'kev']] | [-0.07734569129263333, 0.1756034575653165, -0.07654730099947787, 0.09533966662535487, -0.056592535293596084, -0.11233871148595977, 0.09225437736279483, 0.3434914231560258, -0.14880146631743585, -0.4261819698089777, 0.05538816808419692, -0.31091945352923495, -0.004566941503435373, 0.19869056400398963, 0.020368053990573252, -0.012610415876761816, 0.05238419555040986, 0.07119545824176003, -0.07235955649318151, -0.2722868947821214, 0.22241161487736674, 0.13240840298037024, 0.2191264623927689, 0.041573247701189545, 0.08533824498137069, 0.03256709718708555, -0.0291061956435442, -0.0799565231400477, -0.12878301037095763, 0.06428789767804881, 0.23799388944117222, 0.08356714963447302, 0.17839427351908282, -0.3864928726453421, -0.19827061319658748, 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1,801.10097 | Graph limits of random unlabelled $k$-trees | We study random unlabelled $k$-dimensional trees by combining the colouring
approach by Gainer-Dewar and Gessel (2014) with the cycle pointing method by
Bodirsky, Fusy, Kang and Vigerske (2011). Our main applications are
Gromov-Hausdorff-Prokhorov and Benjamini-Schramm limits, that describe their
asymptotic geometric shape on a global and local scale as the number of hedra
tends to infinity.
| math.CO math.PR | we study random unlabelled kdimensional trees by combining the colouring approach by gainerdewar and gessel 2014 with the cycle pointing method by bodirsky fusy kang and vigerske 2011 our main applications are gromovhausdorffprokhorov and benjaminischramm limits that describe their asymptotic geometric shape on a global and local scale as the number of hedra tends to infinity | [['we', 'study', 'random', 'unlabelled', 'kdimensional', 'trees', 'by', 'combining', 'the', 'colouring', 'approach', 'by', 'gainerdewar', 'and', 'gessel', '2014', 'with', 'the', 'cycle', 'pointing', 'method', 'by', 'bodirsky', 'fusy', 'kang', 'and', 'vigerske', '2011', 'our', 'main', 'applications', 'are', 'gromovhausdorffprokhorov', 'and', 'benjaminischramm', 'limits', 'that', 'describe', 'their', 'asymptotic', 'geometric', 'shape', 'on', 'a', 'global', 'and', 'local', 'scale', 'as', 'the', 'number', 'of', 'hedra', 'tends', 'to', 'infinity']] | [-0.07410968249698854, 0.09735055270007337, -0.07548820882824794, 0.03552058812687701, -0.0660436161319321, -0.07649912299887049, 0.09468188481229656, 0.356096620653879, -0.2516178928385928, -0.33603072799039335, 0.14412378715702667, -0.26228506970307175, -0.19946197978712898, 0.16079514638854647, -0.15875319085734071, 0.07746700685963316, 0.06940643658931807, -0.018726384724086186, 0.05421590051319415, -0.315751823693303, 0.2909251138708501, 0.07743197519613325, 0.2581539837081196, 0.005642650967446279, 0.09507219511510383, 0.06752407267680918, -0.0837038900035451, 0.05173085651026582, -0.19426839630504442, 0.11596125023404383, 0.18828245501894997, 0.13676800693930038, 0.23956355136239305, -0.36318903142270054, -0.14940307672434258, 0.1273328119906474, 0.12632930947397397, 0.07945923918401296, 0.02804879151297874, -0.3194692894324379, 0.13134386907068063, -0.11981492250595453, -0.15064689048724073, -0.08576639058103538, 0.06597209496660826, 0.11858641573684817, -0.2160950224354582, 0.02436678726577534, 0.16284676873177853, 0.05936818223727761, 0.014991589681298103, -0.15569251729175448, -0.05092685546216397, 0.12251865066025618, 0.03565424823044044, 0.07100542986607354, 0.06599090084046969, -0.050462843217658544, -0.17717348912924105, 0.3030522926886267, -0.02839828873018049, -0.1309178382518508, 0.2069690520435853, -0.11437623795859937, -0.1624427096443778, 0.08955472059337036, 0.15871492608116483, 0.1248390285412447, -0.08101015103506451, 0.1683248496957053, -0.09505979303832886, 0.0429876203086438, 0.15170630568831736, -0.04868453898344119, 0.13378894043194553, 0.1050693523490204, 0.10876305473370934, 0.16333438934020275, -0.05861291659771869, -0.059474154863119966, -0.2742599734579617, -0.09611404457438148, -0.2191001921716445, 0.06361661345328924, -0.18810841249508503, -0.14778223645188054, 0.36830948721968904, 0.13747738913263916, 0.2588352964101535, 0.1629795832779118, 0.24222998510835306, 0.06386132819033316, -0.027956402480584692, 0.11099874709715259, 0.1400432362713201, 0.2118833618335215, 0.06450157727659592, -0.18482530580938988, 0.04161485041192961, 0.2021313165226635] |
1,801.10098 | Diversified vortex phase diagram for a rotating trapped two-band Fermi
gas in the BCS-BEC crossover | We report the equilibrium vortex phase diagram of a rotating two-band Fermi
gas confined to a cylindrically symmetric parabolic trapping potential, using
the recently developed finite-temperature effective field theory [Phys. Rev. A
$\bf{94}$, 023620 (2016)]. A non-monotonic resonant dependence of the free
energy as a function of the temperature and the rotation frequency is revealed
for a two-band superfluid. We particularly focus on novel features that appear
as a result of interband interactions and can be experimentally resolved. The
resonant dependence of the free energy is directly manifested in vortex phase
diagrams, where areas of stability for both integer and fractional vortex
states are found. The study embraces the BCS-BEC crossover regime and the
entire temperature range below the critical temperature $T_{c}$. Significantly
different behavior of vortex matter as a function of the interband coupling is
revealed in the BCS and BEC regimes.
| cond-mat.quant-gas | we report the equilibrium vortex phase diagram of a rotating twoband fermi gas confined to a cylindrically symmetric parabolic trapping potential using the recently developed finitetemperature effective field theory phys rev a bf94 023620 2016 a nonmonotonic resonant dependence of the free energy as a function of the temperature and the rotation frequency is revealed for a twoband superfluid we particularly focus on novel features that appear as a result of interband interactions and can be experimentally resolved the resonant dependence of the free energy is directly manifested in vortex phase diagrams where areas of stability for both integer and fractional vortex states are found the study embraces the bcsbec crossover regime and the entire temperature range below the critical temperature t_c significantly different behavior of vortex matter as a function of the interband coupling is revealed in the bcs and bec regimes | [['we', 'report', 'the', 'equilibrium', 'vortex', 'phase', 'diagram', 'of', 'a', 'rotating', 'twoband', 'fermi', 'gas', 'confined', 'to', 'a', 'cylindrically', 'symmetric', 'parabolic', 'trapping', 'potential', 'using', 'the', 'recently', 'developed', 'finitetemperature', 'effective', 'field', 'theory', 'phys', 'rev', 'a', 'bf94', '023620', '2016', 'a', 'nonmonotonic', 'resonant', 'dependence', 'of', 'the', 'free', 'energy', 'as', 'a', 'function', 'of', 'the', 'temperature', 'and', 'the', 'rotation', 'frequency', 'is', 'revealed', 'for', 'a', 'twoband', 'superfluid', 'we', 'particularly', 'focus', 'on', 'novel', 'features', 'that', 'appear', 'as', 'a', 'result', 'of', 'interband', 'interactions', 'and', 'can', 'be', 'experimentally', 'resolved', 'the', 'resonant', 'dependence', 'of', 'the', 'free', 'energy', 'is', 'directly', 'manifested', 'in', 'vortex', 'phase', 'diagrams', 'where', 'areas', 'of', 'stability', 'for', 'both', 'integer', 'and', 'fractional', 'vortex', 'states', 'are', 'found', 'the', 'study', 'embraces', 'the', 'bcsbec', 'crossover', 'regime', 'and', 'the', 'entire', 'temperature', 'range', 'below', 'the', 'critical', 'temperature', 't_c', 'significantly', 'different', 'behavior', 'of', 'vortex', 'matter', 'as', 'a', 'function', 'of', 'the', 'interband', 'coupling', 'is', 'revealed', 'in', 'the', 'bcs', 'and', 'bec', 'regimes']] | [-0.18256752094021067, 0.2189672288673741, -0.09248751190929003, 0.047579948665815164, -0.05443487967318901, -0.1419743482036503, 0.08601468999730097, 0.3208868365565484, -0.22207265611659813, -0.25969275335253744, 0.00068818549690703, -0.2623194860248872, -0.12724363926303137, 0.18460012063053535, 0.03665853483713121, 0.03826393592790082, -0.0690219168375422, -0.006901234251583789, -0.10678411601274111, -0.16730439414797754, 0.3220597440604824, 0.008416697177775465, 0.32216849679557175, 0.13614784412076242, 0.039096141966724104, 0.0007543818881878486, 0.08765263483416733, 0.051080628825755384, -0.1962569977657587, -0.022952724865660513, 0.2551282888157879, -0.06756734739178205, 0.21593021325298123, -0.3683919472085846, -0.2555587460137122, 0.060179200134129376, 0.16656623636958534, 0.14757601383151941, -0.05129721276608615, -0.29820131933824584, -0.047683483826556614, -0.18146797529766923, -0.16731331989957163, -0.09289126703515649, 0.05290822659120928, 0.03186700706633941, -0.2598878446269546, 0.1460546977299842, 0.04211843441487974, 0.08743888839844849, -0.08870612623469605, -0.08193536748510453, -0.06121440649918326, 0.02489556097002192, 0.005763827790538748, 0.06003675898830113, 0.16497617797157565, -0.14528443635859806, -0.05981582289209941, 0.35946956824778314, -0.10147178725345984, -0.08430402149557026, 0.1694808804521246, -0.17614633661948823, -0.03084388677148031, 0.1725662397416113, 0.12171813994776327, 0.12370540884199675, -0.12122019948161018, 0.09273958102094948, -0.06045080585913225, 0.16445148035060042, 0.05651645438250649, 0.06210610283200036, 0.2791244953063193, 0.20259692379065067, -0.0048809933404509835, 0.1662520972117977, -0.1506448881961145, -0.13278827184186012, -0.27492744734810365, -0.1152192439828589, -0.2026087284109301, -0.011762756378865325, -0.019438143076608773, -0.19440977488826777, 0.41548600938119046, 0.10484496256909691, 0.2151798667918184, -0.02388030533203399, 0.23606525149222438, 0.1624423838293805, 0.024492895713408146, 0.062269550561538566, 0.28052177945790174, 0.165220378608267, 0.14150434507584603, -0.3221329257406711, -0.02220729698624032, 0.03789246656404404] |
1,801.10099 | The Dynamics of Beauty & Charm Hadrons and top quarks in the Era of the
LHCb & Belle II and ATLAS/CMS, Motto: Non-perturbative QCD \& Many-body Final
States | Our community has to apply {\em non}-perturbative QCD on different levels of
flavor dynamics in strange, charm \& beauty hadrons and even for top quarks. We
need {\em consistent} parameterization of the CKM matrix and describe weak
decays of beauty hadrons with {\em many-body} final states. It is crucial to
use the {\em Wilsonian} OPE as much as possible and discuss "duality" in the
worlds of quarks and hadrons. The pole mass of heavy quarks is {\em not}
well-defined on the {\em non}-perturbative level -- i.e., it is {\em not} Borel
summable in total QCD. We need a novel team to combine the strengths of our
tools from MEP and HEP.
| hep-ph | our community has to apply em nonperturbative qcd on different levels of flavor dynamics in strange charm beauty hadrons and even for top quarks we need em consistent parameterization of the ckm matrix and describe weak decays of beauty hadrons with em manybody final states it is crucial to use the em wilsonian ope as much as possible and discuss duality in the worlds of quarks and hadrons the pole mass of heavy quarks is em not welldefined on the em nonperturbative level ie it is em not borel summable in total qcd we need a novel team to combine the strengths of our tools from mep and hep | [['our', 'community', 'has', 'to', 'apply', 'em', 'nonperturbative', 'qcd', 'on', 'different', 'levels', 'of', 'flavor', 'dynamics', 'in', 'strange', 'charm', 'beauty', 'hadrons', 'and', 'even', 'for', 'top', 'quarks', 'we', 'need', 'em', 'consistent', 'parameterization', 'of', 'the', 'ckm', 'matrix', 'and', 'describe', 'weak', 'decays', 'of', 'beauty', 'hadrons', 'with', 'em', 'manybody', 'final', 'states', 'it', 'is', 'crucial', 'to', 'use', 'the', 'em', 'wilsonian', 'ope', 'as', 'much', 'as', 'possible', 'and', 'discuss', 'duality', 'in', 'the', 'worlds', 'of', 'quarks', 'and', 'hadrons', 'the', 'pole', 'mass', 'of', 'heavy', 'quarks', 'is', 'em', 'not', 'welldefined', 'on', 'the', 'em', 'nonperturbative', 'level', 'ie', 'it', 'is', 'em', 'not', 'borel', 'summable', 'in', 'total', 'qcd', 'we', 'need', 'a', 'novel', 'team', 'to', 'combine', 'the', 'strengths', 'of', 'our', 'tools', 'from', 'mep', 'and', 'hep']] | [-0.027591509624905544, 0.24296417287251817, -0.14312616691266725, 0.17898607255630367, -0.10737795416060664, -0.09930782826241413, 0.08290727164515149, 0.35198951184476185, -0.20951420660002515, -0.22859297167731946, -0.02585957746700717, -0.3074337446276064, -0.03317379632776757, 0.06746131574324922, 0.007156594127732748, 0.12232917528001404, 0.10621613704112418, 0.032217670941229806, -0.02765546589416939, -0.20318776543824635, 0.34356096395026514, 0.021137227996363552, 0.21752052803293143, 0.17135705237507548, 0.07059395421774836, 0.04473437091395464, -0.07238027302189431, -0.04074010849127187, -0.06637322701462502, 0.07645688057234169, 0.230008766366972, 0.1417101042263996, 0.1683130543508114, -0.3813187750141828, -0.1067628019559838, 0.09844796618429619, 0.13786616371923185, 0.11454901737887241, -0.007003066589235576, -0.30461860413090625, 0.11384569825348231, -0.20428139779186988, -0.11672072843947542, -0.18038708454109045, -0.013169235977079344, -0.06029005228208566, -0.2906829501302494, 0.03756717151594818, -0.04908266346559886, 0.007532209679142598, 0.03667740813892232, -0.21200669319326176, -0.023655579891055822, 0.09815681686864124, 0.12763478612920287, 0.10792428116797931, 0.11551642973283562, -0.20757296127096297, -0.18091254160149928, 0.4506407397363437, -0.041629618811292936, -0.17143831508011992, 0.206586510453527, -0.1662497135528594, -0.1632612402926823, 0.09334812021959539, 0.19237165335446185, 0.09484211226429688, -0.18115226478837088, 0.14645338363234175, -0.06253451914654685, 0.16948360678474975, 0.048977004643956865, 0.07363048569008776, 0.21089727486218882, 0.1657475997873266, 0.05076679242603959, 0.03837513704912378, -0.008260876525603577, -0.09387954663102933, -0.37140111232159334, -0.12273565043242426, -0.17415548294757005, 0.06591872266443541, -0.06954036488498394, -0.1875205881586042, 0.4123220118019012, 0.12323877354656611, 0.18583044154706216, -0.002457784480786959, 0.2874541972430611, 0.051982056837605845, 0.05887171129243226, 0.10194760299108307, 0.30668922839686275, 0.16889283276769682, 0.138489509868615, -0.25534987019229716, 0.0038569041809767756, 0.12816988789356834] |
1,801.101 | SegDenseNet: Iris Segmentation for Pre and Post Cataract Surgery | Cataract is caused due to various factors such as age, trauma, genetics,
smoking and substance consumption, and radiation. It is one of the major common
ophthalmic diseases worldwide which can potentially affect iris-based biometric
systems. India, which hosts the largest biometrics project in the world, has
about 8 million people undergoing cataract surgery annually. While existing
research shows that cataract does not have a major impact on iris recognition,
our observations suggest that the iris segmentation approaches are not well
equipped to handle cataract or post cataract surgery cases. Therefore, failure
in iris segmentation affects the overall recognition performance. This paper
presents an efficient iris segmentation algorithm with variations due to
cataract and post cataract surgery. The proposed algorithm, termed as
SegDenseNet, is a deep learning algorithm based on DenseNets. The experiments
on the IIITD Cataract database show that improving the segmentation enhances
the identification by up to 25% across different sensors and matchers.
| cs.CV | cataract is caused due to various factors such as age trauma genetics smoking and substance consumption and radiation it is one of the major common ophthalmic diseases worldwide which can potentially affect irisbased biometric systems india which hosts the largest biometrics project in the world has about 8 million people undergoing cataract surgery annually while existing research shows that cataract does not have a major impact on iris recognition our observations suggest that the iris segmentation approaches are not well equipped to handle cataract or post cataract surgery cases therefore failure in iris segmentation affects the overall recognition performance this paper presents an efficient iris segmentation algorithm with variations due to cataract and post cataract surgery the proposed algorithm termed as segdensenet is a deep learning algorithm based on densenets the experiments on the iiitd cataract database show that improving the segmentation enhances the identification by up to 25 across different sensors and matchers | [['cataract', 'is', 'caused', 'due', 'to', 'various', 'factors', 'such', 'as', 'age', 'trauma', 'genetics', 'smoking', 'and', 'substance', 'consumption', 'and', 'radiation', 'it', 'is', 'one', 'of', 'the', 'major', 'common', 'ophthalmic', 'diseases', 'worldwide', 'which', 'can', 'potentially', 'affect', 'irisbased', 'biometric', 'systems', 'india', 'which', 'hosts', 'the', 'largest', 'biometrics', 'project', 'in', 'the', 'world', 'has', 'about', '8', 'million', 'people', 'undergoing', 'cataract', 'surgery', 'annually', 'while', 'existing', 'research', 'shows', 'that', 'cataract', 'does', 'not', 'have', 'a', 'major', 'impact', 'on', 'iris', 'recognition', 'our', 'observations', 'suggest', 'that', 'the', 'iris', 'segmentation', 'approaches', 'are', 'not', 'well', 'equipped', 'to', 'handle', 'cataract', 'or', 'post', 'cataract', 'surgery', 'cases', 'therefore', 'failure', 'in', 'iris', 'segmentation', 'affects', 'the', 'overall', 'recognition', 'performance', 'this', 'paper', 'presents', 'an', 'efficient', 'iris', 'segmentation', 'algorithm', 'with', 'variations', 'due', 'to', 'cataract', 'and', 'post', 'cataract', 'surgery', 'the', 'proposed', 'algorithm', 'termed', 'as', 'segdensenet', 'is', 'a', 'deep', 'learning', 'algorithm', 'based', 'on', 'densenets', 'the', 'experiments', 'on', 'the', 'iiitd', 'cataract', 'database', 'show', 'that', 'improving', 'the', 'segmentation', 'enhances', 'the', 'identification', 'by', 'up', 'to', '25', 'across', 'different', 'sensors', 'and', 'matchers']] | [-0.05820562879364986, 0.03178217738193206, -0.061140775783171286, 0.0424455073600831, -0.09869491329759751, -0.18345459353938504, -0.03292795197692038, 0.4139003756541857, -0.19122176994814685, -0.36954076832626015, 0.16467211047941083, -0.3127836162273429, -0.24314356552311342, 0.25208099200359646, -0.22893166882414862, 0.022146844022963227, 0.15318123848287782, 0.06156173817458024, 0.030705168088101538, -0.2895061485484659, 0.22964566579015044, 0.08455777369990276, 0.3463962616729795, 0.10064885609685198, 0.09436147103367962, -0.03474858036803964, -0.06492308267498677, -0.03442134479692677, -0.06485268286819758, 0.08292315709465918, 0.32972280895582545, 0.2174579137660514, 0.3200864324615778, -0.3926076191649037, -0.24334304295725337, 0.08746580167452951, 0.19213190475343972, 0.049131999475464816, -0.044897075628365486, -0.3605503839146542, 0.07478105377729087, -0.16224157516109317, -0.014781553558637634, -0.03937352521997558, -0.005270856110942795, -0.039218201642430166, -0.21162541984813288, 0.07376043938443456, 0.014596920785965938, 0.14322810802657746, -0.07163080689190936, -0.09578432775666251, 0.028037448642671256, 0.2283620715285284, 0.07741005966090597, 0.08638566199653341, 0.2321276236628029, -0.18951719432401373, -0.14934420853579036, 0.37447467774128246, 0.012779692359464733, -0.09587333402841498, 0.23441904258614063, -0.06095307147571523, -0.15671292945166657, 0.16313483838243165, 0.1973130445449466, 0.06932655664614255, -0.14644052163011542, -0.08529776083703741, 0.02409156286127032, 0.211372796096839, 0.09168387985348665, -0.07059677447872864, 0.20616274821038946, 0.2380750029850261, -0.002172759566364173, 0.10854727688772407, -0.16700993892185292, -0.042716705865275706, -0.14487196966442034, -0.14306863741091402, -0.09156954973341751, -0.0063081508528021486, -0.07394872834457171, -0.1701628773007542, 0.3696691526872057, 0.1966237026285135, 0.13598307918781707, -0.006474502346559587, 0.3729733368450788, -0.05193178874431301, 0.19609782580090196, 0.05197551183243233, 0.1844158901872824, -0.032423190158289414, 0.13381472193041669, -0.21904945512008117, 0.16082170612552496, 0.0018850649357773364] |
1,801.10101 | Relating CP-violating decays to the neutron EDM | We use the present upper bound on the neutron electric dipole moment to give
an estimate for the upper limit of the CP-violating couplings of the
$\eta(\eta')$ meson to the neutron. Using this result, we derive constraints on
the CP-violating two-pion decays of the $\eta(\eta')$. Our results are relevant
for the running and planned GlueX and LHCb measurements of rare meson decays.
| hep-ph | we use the present upper bound on the neutron electric dipole moment to give an estimate for the upper limit of the cpviolating couplings of the etaeta meson to the neutron using this result we derive constraints on the cpviolating twopion decays of the etaeta our results are relevant for the running and planned gluex and lhcb measurements of rare meson decays | [['we', 'use', 'the', 'present', 'upper', 'bound', 'on', 'the', 'neutron', 'electric', 'dipole', 'moment', 'to', 'give', 'an', 'estimate', 'for', 'the', 'upper', 'limit', 'of', 'the', 'cpviolating', 'couplings', 'of', 'the', 'etaeta', 'meson', 'to', 'the', 'neutron', 'using', 'this', 'result', 'we', 'derive', 'constraints', 'on', 'the', 'cpviolating', 'twopion', 'decays', 'of', 'the', 'etaeta', 'our', 'results', 'are', 'relevant', 'for', 'the', 'running', 'and', 'planned', 'gluex', 'and', 'lhcb', 'measurements', 'of', 'rare', 'meson', 'decays']] | [-0.10229681546409283, 0.2555539365878963, -0.07033511676314858, 0.12312460401388366, -0.09195284046713383, -0.07323865634539435, 0.1278662346049978, 0.22403296675052373, -0.14753852695632244, -0.24681344637346844, 0.006720562059912951, -0.35463000149015456, -0.003728630874613901, 0.20918227002520354, 0.11237653193905228, 0.08782874734982127, 0.08839947325102385, 0.05726432067251975, -0.09362529735118451, -0.21492174257629462, 0.28245413105093664, 0.006855090118704304, 0.1543050091713667, 0.20453691584689002, -0.020772742445490534, 0.006650480043683802, -0.025840525275036212, -0.13801579408332584, -0.20783258609909325, 0.08897807989870349, 0.19317316180921248, 0.13440396797452722, 0.025020151429118648, -0.3862129253966193, 0.0012829323794933097, 0.144602352024747, 0.14600422413599107, 0.10148405405362287, -0.039134301312808546, -0.42056320595645136, 0.06748980914633121, -0.1839365842001092, -0.09376473181069858, -0.14788542705918511, 0.0027370218472975876, -0.03576199770454438, -0.42674502249686946, 0.03528321127317125, -0.05386261876311994, 0.013934958747760844, -0.050817157337141615, -0.2766516680093182, 0.08383690549676577, 0.07031653250657743, 0.1582851559224148, 0.057473127399721456, 0.16380009894830086, -0.14012488165697565, -0.12938699328280504, 0.3480654188221501, -0.11927661450482124, -0.15933756981769787, 0.07124814626220013, -0.23773844858571405, -0.18205049206622906, 0.08520421794345302, 0.25061376151748965, 0.1037183157769182, -0.19153620448384073, 0.10564033342187383, -0.06257689388979587, 0.14444650156844047, 0.05997323346204094, 0.11432733673662428, 0.18403084726343233, 0.2398005440275395, 0.06869800613757464, 0.0966479143375651, -0.17100202700033063, -0.009613853766612949, -0.43093610204936517, -0.08343622188793585, -0.10071381908510962, 0.06356698519460136, -0.09467762678574335, -0.09535272894126753, 0.34177864375974865, 0.1211122959371536, 0.2210334688425064, 0.04616502372007216, 0.3616024649912311, 0.14890116911321397, 0.005269637511622521, 0.05823350319218251, 0.4068264322385432, 0.23534917894510493, 0.1503819966718795, -0.3528137044800866, 0.05596149968163621, 0.06758508551865816] |
1,801.10102 | Analysis of multilayer electro-active tubes under different constraints | Dielectric elastomers are an emerging class of highly deformable
electro-active materials employed for electromechanical transduction
technology. For practical applications, the design of such transducers requires
a model accounting for insulation of the active membrane, non-perfectly
compliant behaviour of the electrodes or interaction of the transducer with a
soft actuated body. To this end, a three-layer model, in which the active
membrane is embedded between two soft passive layers, can be formulated. In
this paper, the theory of nonlinear electro-elasticity for heterogeneous soft
dielectrics is used to investigate the electromechanical response of multilayer
electro-active tubes---formed either by the active membrane only (single-layer
tube) or by the coated active membrane (multilayer tube). Numerical results
showing the influence of the mechanical and the geometrical properties of the
soft coating layers on the electromechanical response of the active membrane
are presented for different constraint conditions.
| cond-mat.soft | dielectric elastomers are an emerging class of highly deformable electroactive materials employed for electromechanical transduction technology for practical applications the design of such transducers requires a model accounting for insulation of the active membrane nonperfectly compliant behaviour of the electrodes or interaction of the transducer with a soft actuated body to this end a threelayer model in which the active membrane is embedded between two soft passive layers can be formulated in this paper the theory of nonlinear electroelasticity for heterogeneous soft dielectrics is used to investigate the electromechanical response of multilayer electroactive tubesformed either by the active membrane only singlelayer tube or by the coated active membrane multilayer tube numerical results showing the influence of the mechanical and the geometrical properties of the soft coating layers on the electromechanical response of the active membrane are presented for different constraint conditions | [['dielectric', 'elastomers', 'are', 'an', 'emerging', 'class', 'of', 'highly', 'deformable', 'electroactive', 'materials', 'employed', 'for', 'electromechanical', 'transduction', 'technology', 'for', 'practical', 'applications', 'the', 'design', 'of', 'such', 'transducers', 'requires', 'a', 'model', 'accounting', 'for', 'insulation', 'of', 'the', 'active', 'membrane', 'nonperfectly', 'compliant', 'behaviour', 'of', 'the', 'electrodes', 'or', 'interaction', 'of', 'the', 'transducer', 'with', 'a', 'soft', 'actuated', 'body', 'to', 'this', 'end', 'a', 'threelayer', 'model', 'in', 'which', 'the', 'active', 'membrane', 'is', 'embedded', 'between', 'two', 'soft', 'passive', 'layers', 'can', 'be', 'formulated', 'in', 'this', 'paper', 'the', 'theory', 'of', 'nonlinear', 'electroelasticity', 'for', 'heterogeneous', 'soft', 'dielectrics', 'is', 'used', 'to', 'investigate', 'the', 'electromechanical', 'response', 'of', 'multilayer', 'electroactive', 'tubesformed', 'either', 'by', 'the', 'active', 'membrane', 'only', 'singlelayer', 'tube', 'or', 'by', 'the', 'coated', 'active', 'membrane', 'multilayer', 'tube', 'numerical', 'results', 'showing', 'the', 'influence', 'of', 'the', 'mechanical', 'and', 'the', 'geometrical', 'properties', 'of', 'the', 'soft', 'coating', 'layers', 'on', 'the', 'electromechanical', 'response', 'of', 'the', 'active', 'membrane', 'are', 'presented', 'for', 'different', 'constraint', 'conditions']] | [-0.13738896356829042, 0.163579042301717, 0.007531130453571677, -0.06226363191214789, -0.055820442363619806, -0.18728385822780963, -0.006142858257849834, 0.4177038224547037, -0.2780275103702609, -0.2980731957525547, 0.07430851560950812, -0.24803273401755307, -0.23322309015451798, 0.18821963400446942, -0.05583507022487798, 0.10973210523703268, -0.024655533911261174, -0.04173979573783332, 0.0251374332334048, -0.09874229961340981, 0.23579605035483836, 0.027606418768742255, 0.3367933080864272, 0.04300015033222735, 0.12047535789731358, 0.014490745778727745, 0.06982039757671633, 0.06333573248536725, -0.0926051450327837, 0.17617782417229527, 0.2659029656426615, -0.054240977687628145, 0.24349925633952288, -0.5442015604515161, -0.27995778798524823, 0.004128112730437092, 0.08206798315347572, 0.0611623971415351, -0.06908769627251396, -0.21291646991989444, 0.08194836439797655, -0.15746395650120185, -0.11796460322636579, -0.019311836388494288, -0.013225208483968994, 0.03763431720103004, -0.244891467803557, 0.038916790373955984, 0.07225875029606478, 0.02639911803749523, -0.12403480275700401, -0.08571099012125549, -0.009803207671003683, 0.1339990473119542, 0.026475631141303375, -0.04783006242276835, 0.28652831452117034, -0.19461415617261082, -0.06569026485750717, 0.34466926950429166, -0.005597804919151323, -0.21393032381311058, 0.2250338791919473, -0.04126094542776367, -0.04465922096943749, 0.12915536928838783, 0.21667995829733888, 0.10789994055604828, -0.2064089562652433, 0.038639799954086944, 0.002915914408887537, 0.2101652598673744, 0.0666622439648823, 0.00037845364505691186, 0.2362429263868502, 0.2868968343861135, -0.011159965149792178, 0.23684860356900442, -0.0713246433579895, -0.027208842905903502, -0.28890573140233755, -0.1657102858448135, -0.15523828612141577, 0.020004777796566488, -0.09929831586767769, -0.25692939451962177, 0.37949380520731213, 0.06618908824166284, 0.11607426946450557, -0.008513517670300124, 0.29369880257041325, 0.02680849826096424, 0.08525292231102607, -0.020792141744667397, 0.37363832107345973, 0.14386886946657407, 0.12197799868549088, -0.23849819852704449, 0.059499361711953365, 0.023400340215968235] |
1,801.10103 | Frames Induced by the Action of Continuous Powers of an Operator | We investigate systems of the form $\{A^tg:g\in\mathcal{G},t\in[0,L]\}$ where
$A \in B(\mathcal{H})$ is a normal operator in a separable Hilbert space
$\mathcal{H}$, $\mathcal{G}\subset \mathcal{H}$ is a countable set, and $L$ is
a positive real number. Although the main goal of this work is to study the
frame properties of $\{A^tg:g\in\mathcal{G},t\in[0,L]\}$, as intermediate
steps, we explore the completeness and Bessel properties of such systems from a
theoretical perspective, which are of interest by themselves. Beside the
theoretical appeal of investigating such systems, their connections to
dynamical and mobile sampling make them fundamental for understanding and
solving several major problems in engineering and science.
| math.FA | we investigate systems of the form atgginmathcalgtin0l where a in bmathcalh is a normal operator in a separable hilbert space mathcalh mathcalgsubset mathcalh is a countable set and l is a positive real number although the main goal of this work is to study the frame properties of atgginmathcalgtin0l as intermediate steps we explore the completeness and bessel properties of such systems from a theoretical perspective which are of interest by themselves beside the theoretical appeal of investigating such systems their connections to dynamical and mobile sampling make them fundamental for understanding and solving several major problems in engineering and science | [['we', 'investigate', 'systems', 'of', 'the', 'form', 'atgginmathcalgtin0l', 'where', 'a', 'in', 'bmathcalh', 'is', 'a', 'normal', 'operator', 'in', 'a', 'separable', 'hilbert', 'space', 'mathcalh', 'mathcalgsubset', 'mathcalh', 'is', 'a', 'countable', 'set', 'and', 'l', 'is', 'a', 'positive', 'real', 'number', 'although', 'the', 'main', 'goal', 'of', 'this', 'work', 'is', 'to', 'study', 'the', 'frame', 'properties', 'of', 'atgginmathcalgtin0l', 'as', 'intermediate', 'steps', 'we', 'explore', 'the', 'completeness', 'and', 'bessel', 'properties', 'of', 'such', 'systems', 'from', 'a', 'theoretical', 'perspective', 'which', 'are', 'of', 'interest', 'by', 'themselves', 'beside', 'the', 'theoretical', 'appeal', 'of', 'investigating', 'such', 'systems', 'their', 'connections', 'to', 'dynamical', 'and', 'mobile', 'sampling', 'make', 'them', 'fundamental', 'for', 'understanding', 'and', 'solving', 'several', 'major', 'problems', 'in', 'engineering', 'and', 'science']] | [-0.13694124351189071, 0.0929339239563869, -0.07273175368947928, 0.06078438854144354, -0.0882705507600414, -0.084626617419714, 0.03618507640322252, 0.3681920001150242, -0.30963736996339747, -0.2610497932729064, 0.12914526048092628, -0.27230837388553336, -0.17596793193631444, 0.21328608544925892, -0.0636768033264718, 0.06194321306574405, 0.05892350085374272, 0.04918450966705473, -0.08006477847277206, -0.20234840849832614, 0.360493179491474, -0.010577603851502039, 0.22993175882123867, 0.01475449735576427, 0.0768020964104074, 0.009328007579267937, -0.047715552132196574, 0.01506057347863561, -0.11156058474919017, 0.1593915743430202, 0.2890416539787334, 0.17346710444675112, 0.37659623439670825, -0.37392187354211903, -0.19836652408857658, 0.14695353625931454, 0.11992172913374, 0.06122342426192053, -0.048092264710564395, -0.26751505515101004, 0.06445233112353148, -0.13341693560193693, -0.12442458008014483, -0.08399089530338438, 0.05848488586536628, 0.03575761231821867, -0.23498972621271197, -0.011417592628573885, 0.11178807359591497, 0.07080724967491565, -0.04867975765896239, -0.10431295099231053, 0.0013389339342675343, 0.13255399490744635, 0.0037041595015598803, 0.02345640159197798, 0.07800360070393011, -0.13182627987734288, -0.10888994310279282, 0.437777398496258, 0.0050720356479619765, -0.1873726508276043, 0.22288333492980775, -0.14048290528756166, -0.14620172205780232, 0.0435055543630555, 0.19896874954087698, 0.11939753918927543, -0.14097576139599313, 0.13692298060347213, -0.04841878011404556, 0.09391779226324597, 0.015781900023433323, 0.08616515091378052, 0.20358685081900688, 0.19151847048933446, 0.06776598272655084, 0.1330337973064458, 0.01289403886381033, -0.10236792956307834, -0.3210310961823074, -0.20829434643442535, -0.1935670241162333, 0.06466927653064533, -0.032008671177264865, -0.1530935999234112, 0.3984094802028861, 0.13362935748977625, 0.22749155239981353, 0.028624640101785486, 0.2711661716314907, 0.10195285672745406, 0.017689145642940943, 0.03892882760823229, 0.18275049938915336, 0.1666924823194324, 0.04945798484342439, -0.1755585207066936, 0.029002962405888403, 0.06426932422767337] |
1,801.10104 | Neutrino masses in a conformal multi-Higgs-doublet model | We construct a conformal version of a general multi-Higgs-doublet model with
additional right-handed neutrino gauge-singlets. Assuming a minimal extension
of the scalar sector by a real singlet field, we show that the resulting model
achieves the same attractive properties as the non-conformal theory, combining
the seesaw mechanism and higher-order mass production to generate naturally
light neutrino masses. Starting with dimensionless couplings only, all masses
and energy scales in the theory (including the heavy Majorana masses and the
electroweak scale) are obtained from dimensional transmutation via the
Coleman-Weinberg mechanism. A characteristic feature of the conformal model is
the appearance of the scalon in the scalar spectrum.The mass of this particle,
which can be expressed in terms of the masses of the other particles in the
theory, is produced at the one-loop level. We establish a connection between
the large seesaw scale and a suppression of the scalon interactions. The
positivity condition for the squared scalon mass requires sufficiently large
masses of the additional Higgs bosons balancing the contributions of the heavy
neutrinos.
| hep-ph | we construct a conformal version of a general multihiggsdoublet model with additional righthanded neutrino gaugesinglets assuming a minimal extension of the scalar sector by a real singlet field we show that the resulting model achieves the same attractive properties as the nonconformal theory combining the seesaw mechanism and higherorder mass production to generate naturally light neutrino masses starting with dimensionless couplings only all masses and energy scales in the theory including the heavy majorana masses and the electroweak scale are obtained from dimensional transmutation via the colemanweinberg mechanism a characteristic feature of the conformal model is the appearance of the scalon in the scalar spectrumthe mass of this particle which can be expressed in terms of the masses of the other particles in the theory is produced at the oneloop level we establish a connection between the large seesaw scale and a suppression of the scalon interactions the positivity condition for the squared scalon mass requires sufficiently large masses of the additional higgs bosons balancing the contributions of the heavy neutrinos | [['we', 'construct', 'a', 'conformal', 'version', 'of', 'a', 'general', 'multihiggsdoublet', 'model', 'with', 'additional', 'righthanded', 'neutrino', 'gaugesinglets', 'assuming', 'a', 'minimal', 'extension', 'of', 'the', 'scalar', 'sector', 'by', 'a', 'real', 'singlet', 'field', 'we', 'show', 'that', 'the', 'resulting', 'model', 'achieves', 'the', 'same', 'attractive', 'properties', 'as', 'the', 'nonconformal', 'theory', 'combining', 'the', 'seesaw', 'mechanism', 'and', 'higherorder', 'mass', 'production', 'to', 'generate', 'naturally', 'light', 'neutrino', 'masses', 'starting', 'with', 'dimensionless', 'couplings', 'only', 'all', 'masses', 'and', 'energy', 'scales', 'in', 'the', 'theory', 'including', 'the', 'heavy', 'majorana', 'masses', 'and', 'the', 'electroweak', 'scale', 'are', 'obtained', 'from', 'dimensional', 'transmutation', 'via', 'the', 'colemanweinberg', 'mechanism', 'a', 'characteristic', 'feature', 'of', 'the', 'conformal', 'model', 'is', 'the', 'appearance', 'of', 'the', 'scalon', 'in', 'the', 'scalar', 'spectrumthe', 'mass', 'of', 'this', 'particle', 'which', 'can', 'be', 'expressed', 'in', 'terms', 'of', 'the', 'masses', 'of', 'the', 'other', 'particles', 'in', 'the', 'theory', 'is', 'produced', 'at', 'the', 'oneloop', 'level', 'we', 'establish', 'a', 'connection', 'between', 'the', 'large', 'seesaw', 'scale', 'and', 'a', 'suppression', 'of', 'the', 'scalon', 'interactions', 'the', 'positivity', 'condition', 'for', 'the', 'squared', 'scalon', 'mass', 'requires', 'sufficiently', 'large', 'masses', 'of', 'the', 'additional', 'higgs', 'bosons', 'balancing', 'the', 'contributions', 'of', 'the', 'heavy', 'neutrinos']] | [-0.12240931812240824, 0.2615679802525549, -0.035723969259504364, 0.16841865605497677, -0.0483781348189546, -0.14116697536770537, -0.010804954683408141, 0.25819873107646246, -0.2325271621662361, -0.3109441390315517, 0.02757639749988652, -0.26419485337509396, -0.06951874877463711, 0.12412895312802887, 0.05342458461803433, 0.015796634145298895, 0.017589811066830018, 0.04621155655055105, -0.08036528943700182, -0.21833070701775167, 0.3506958592541472, 0.05016960394269193, 0.20696551804784794, 0.11323796812314213, 0.1270565039026197, -0.022793811494048837, 0.0014517170650073005, -0.06796816444264082, -0.06880749937587544, 0.09941483628309784, 0.12579414581850018, 0.056080283724504784, 0.162451424442602, -0.3624717825969235, -0.18581055476036118, 0.14946535867992897, 0.13273400710677805, 0.12011443748348528, -0.10088213767627613, -0.27506948851746077, 0.0785595838263718, -0.19364444061307706, -0.15905845095811968, -0.045077682415578975, -0.08142677125621761, -0.07348863755343264, -0.3626080103578013, 0.11306055106375126, -0.017122224173086495, 0.00948746973643221, -0.037986170727901204, -0.10832700995954396, -0.08390542617263763, 0.04393985931494693, 0.15516372673739054, -0.01726782726234898, 0.1365483434767359, -0.19515015897825286, -0.10240183775694442, 0.4245302121679854, -0.12226980694771161, -0.18369676282613032, 0.16056752070098332, -0.13233969761712247, -0.11536852708249762, 0.10289072011575669, 0.1753993809702452, 0.10545315667295867, -0.16524317087632828, 0.18465403407370964, -0.06849769982972254, 0.14969498263699227, 0.05459384195375861, 0.06125198863072277, 0.28181484179865374, 0.17739151674322784, 0.019755482428560133, 0.051280687565504086, -0.0656824906394757, -0.09855953949007984, -0.4107858483292903, -0.13584690567171365, -0.1262499021906787, 0.053155142843195, -0.1461164830112966, -0.13152124798633377, 0.4333052318216416, 0.13554013226530515, 0.23600243625084036, 0.0823398062105601, 0.275695997894856, 0.11860418480300829, 0.1476261982590788, 0.03811287666719995, 0.28659170840414816, 0.15687236193246182, 0.0852411513871034, -0.26107896951147036, -0.05485121509310795, 0.12768923514931088] |
1,801.10105 | Finite element convergence for the time-dependent Joule heating problem
with mixed boundary conditions | We prove strong convergence for a large class of finite element methods for
the time-dependent Joule heating problem in three spatial dimensions with mixed
boundary conditions on Lipschitz domains. We consider conforming subspaces for
the spatial discretization and the backward Euler scheme for the temporal
discretization. Furthermore, we prove uniqueness and higher regularity of the
solution on creased domains and additional regularity in the interior of the
domain. Due to a variational formulation with a cut-off functional the
convergence analysis does not require a discrete maximum principle, permitting
approximation spaces suitable for adaptive mesh refinement, responding to the
the difference in regularity within the domain.
| math.NA | we prove strong convergence for a large class of finite element methods for the timedependent joule heating problem in three spatial dimensions with mixed boundary conditions on lipschitz domains we consider conforming subspaces for the spatial discretization and the backward euler scheme for the temporal discretization furthermore we prove uniqueness and higher regularity of the solution on creased domains and additional regularity in the interior of the domain due to a variational formulation with a cutoff functional the convergence analysis does not require a discrete maximum principle permitting approximation spaces suitable for adaptive mesh refinement responding to the the difference in regularity within the domain | [['we', 'prove', 'strong', 'convergence', 'for', 'a', 'large', 'class', 'of', 'finite', 'element', 'methods', 'for', 'the', 'timedependent', 'joule', 'heating', 'problem', 'in', 'three', 'spatial', 'dimensions', 'with', 'mixed', 'boundary', 'conditions', 'on', 'lipschitz', 'domains', 'we', 'consider', 'conforming', 'subspaces', 'for', 'the', 'spatial', 'discretization', 'and', 'the', 'backward', 'euler', 'scheme', 'for', 'the', 'temporal', 'discretization', 'furthermore', 'we', 'prove', 'uniqueness', 'and', 'higher', 'regularity', 'of', 'the', 'solution', 'on', 'creased', 'domains', 'and', 'additional', 'regularity', 'in', 'the', 'interior', 'of', 'the', 'domain', 'due', 'to', 'a', 'variational', 'formulation', 'with', 'a', 'cutoff', 'functional', 'the', 'convergence', 'analysis', 'does', 'not', 'require', 'a', 'discrete', 'maximum', 'principle', 'permitting', 'approximation', 'spaces', 'suitable', 'for', 'adaptive', 'mesh', 'refinement', 'responding', 'to', 'the', 'the', 'difference', 'in', 'regularity', 'within', 'the', 'domain']] | [-0.10255675183697825, 0.022799510523466217, -0.09026789691831384, 0.09446565582017813, -0.09299670516158498, -0.09750623779282683, 0.027942823973439987, 0.38164841082124484, -0.3253837479012353, -0.23762248444060485, 0.1683965570548372, -0.20141129895734292, -0.04855736935777324, 0.13962335320455688, -0.11397173388062844, 0.10721162610044259, 0.08843869502168326, -0.014913179822975681, -0.11831520037902962, -0.19443894614066395, 0.3729589141195729, -0.054243510305171924, 0.29488357754335515, 0.0787735637233016, 0.15412290322461297, -0.010977563417206208, -0.03246361884244141, 0.04968167889331068, -0.15618765749081615, 0.13320639141547005, 0.2146179991641215, 0.04835763495814587, 0.36373087742498944, -0.4420295942929529, -0.27349384988525083, 0.09585055994490782, 0.12904508661456585, 0.09742362803912588, -0.04242957125284842, -0.2550702601759916, 0.10831607198120938, -0.07487212074920535, -0.17188403031212232, -0.09493505041159335, -0.032964404747777044, 0.05924199060315177, -0.365678156872413, 0.09243652008119084, 0.0894445781729051, 0.09499147917543138, -0.14095475382969846, -0.06332872910868553, 0.006876674878765784, 0.06382031410799495, 0.019502532223816073, -0.008325841998504032, 0.010935704436685357, -0.08339248522229138, -0.06430315839215403, 0.3506102803074533, -0.06830138228390188, -0.3356507258401031, 0.20807561382119144, -0.1571609237275663, -0.12544529921419564, 0.1281505496019409, 0.18292511588051205, 0.18042175132515176, -0.08271339403554087, 0.12910672114729616, -0.007149787492207473, 0.15951598611261164, 0.11335906226941872, 0.03575516024693137, 0.05388547683223372, 0.16962858144016493, 0.2212071159144952, 0.11415108275333685, -0.07305992877532151, -0.11828837101292308, -0.37552605551623164, -0.14902251605609698, -0.16156371254917412, 0.017609560555207453, -0.18165759131980372, -0.22057686693788994, 0.35632041952849247, 0.12984872171475131, 0.09626814663587581, 0.10050047899463348, 0.2647776690444776, 0.1309153960529892, 0.03412811662114802, 0.10114046179112934, 0.1648512910164538, 0.14491622943564186, 0.15243573106293168, -0.2577076885294879, 0.048106778240097424, 0.1996720669702405] |
1,801.10106 | On-chip excitation of single germanium-vacancies in nanodiamonds
embedded in plasmonic waveguides | Monolithic integration of quantum emitters in nanoscale plasmonic circuitry
requires low-loss plasmonic configurations capable of confining light well
below the diffraction limit. We demonstrate on-chip remote excitation of
nanodiamond-embedded single quantum emitters by plasmonic modes of dielectric
ridges atop colloidal silver crystals. The nanodiamonds are produced to
incorporate single germanium-vacancy (GeV) centers, providing bright,
spectrally narrow and stable single-photon sources suitable for highly
integrated circuits. Using electron-beam lithography with hydrogen
silsesquioxane (HSQ) resist, dielectric-loaded surface plasmon polariton
waveguides (DLSPPWs) are fabricated on single crystalline silver plates so as
to contain those of spin-casted nanodiamonds that are found to feature
appropriate single GeV centers. The low-loss plasmonic configuration enabled
the 532 nm pump laser light to propagate on-chip in the DLSPPW and reach to an
embedded nanodiamond where a single GeV center is incorporated. The remote GeV
emitter is thereby excited and coupled to spatially confined DLSPPW modes with
an outstanding figure-of-merit of 180 due to a ~6-fold Purcell enhancement,
~56% coupling efficiency and ~33 {\mu}m transmission length, revealing the
potential of our approach for on-chip realization of nanoscale functional
quantum devices.
| cond-mat.mes-hall physics.optics quant-ph | monolithic integration of quantum emitters in nanoscale plasmonic circuitry requires lowloss plasmonic configurations capable of confining light well below the diffraction limit we demonstrate onchip remote excitation of nanodiamondembedded single quantum emitters by plasmonic modes of dielectric ridges atop colloidal silver crystals the nanodiamonds are produced to incorporate single germaniumvacancy gev centers providing bright spectrally narrow and stable singlephoton sources suitable for highly integrated circuits using electronbeam lithography with hydrogen silsesquioxane hsq resist dielectricloaded surface plasmon polariton waveguides dlsppws are fabricated on single crystalline silver plates so as to contain those of spincasted nanodiamonds that are found to feature appropriate single gev centers the lowloss plasmonic configuration enabled the 532 nm pump laser light to propagate onchip in the dlsppw and reach to an embedded nanodiamond where a single gev center is incorporated the remote gev emitter is thereby excited and coupled to spatially confined dlsppw modes with an outstanding figureofmerit of 180 due to a 6fold purcell enhancement 56 coupling efficiency and 33 mum transmission length revealing the potential of our approach for onchip realization of nanoscale functional quantum devices | [['monolithic', 'integration', 'of', 'quantum', 'emitters', 'in', 'nanoscale', 'plasmonic', 'circuitry', 'requires', 'lowloss', 'plasmonic', 'configurations', 'capable', 'of', 'confining', 'light', 'well', 'below', 'the', 'diffraction', 'limit', 'we', 'demonstrate', 'onchip', 'remote', 'excitation', 'of', 'nanodiamondembedded', 'single', 'quantum', 'emitters', 'by', 'plasmonic', 'modes', 'of', 'dielectric', 'ridges', 'atop', 'colloidal', 'silver', 'crystals', 'the', 'nanodiamonds', 'are', 'produced', 'to', 'incorporate', 'single', 'germaniumvacancy', 'gev', 'centers', 'providing', 'bright', 'spectrally', 'narrow', 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'purcell', 'enhancement', '56', 'coupling', 'efficiency', 'and', '33', 'mum', 'transmission', 'length', 'revealing', 'the', 'potential', 'of', 'our', 'approach', 'for', 'onchip', 'realization', 'of', 'nanoscale', 'functional', 'quantum', 'devices']] | [-0.11353857551217496, 0.21659183563738046, 0.012489958570661366, -0.06861808616326544, -0.004880937548889518, -0.2559586373865396, 0.03693120382653352, 0.5558889002159404, -0.19787764784199702, -0.3294663476580806, -0.038760343008523795, -0.32108701819127333, -0.03521779631706756, 0.2409039499451453, 0.007567720207894304, 0.11331742007920113, 0.02065806399234805, -0.1422280737786819, 0.06777921451812391, -0.12315373720052293, 0.17898270699544158, 0.0751648150909921, 0.37106190075546336, 0.09600658232720788, 0.10470671041959027, -0.0008497381915843021, 0.11975636559554152, -0.10319163055060296, -0.07757944324823368, 0.15822123546756844, 0.28661498608192504, -0.08077318737720394, 0.2166545533655763, -0.4749121085838831, 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1,801.10107 | Invariant universality for projective planes | We continue the work of [1, 2, 3] by analyzing the equivalence relation of
bi-embeddability on various classes of countable planes, most notably the class
of countable non-Desarguesian projective planes. We use constructions of the
second author to show that these equivalence relations are invariantly
universal, in the sense of [3], and thus in particular complete analytic. We
also introduce a new kind of Borel reducibility relation for standard Borel
G-spaces, which requires the preservation of stabilizers, and explain its
connection with the notion of full embeddings commonly considered in category
theory.
| math.LO | we continue the work of 1 2 3 by analyzing the equivalence relation of biembeddability on various classes of countable planes most notably the class of countable nondesarguesian projective planes we use constructions of the second author to show that these equivalence relations are invariantly universal in the sense of 3 and thus in particular complete analytic we also introduce a new kind of borel reducibility relation for standard borel gspaces which requires the preservation of stabilizers and explain its connection with the notion of full embeddings commonly considered in category theory | [['we', 'continue', 'the', 'work', 'of', '1', '2', '3', 'by', 'analyzing', 'the', 'equivalence', 'relation', 'of', 'biembeddability', 'on', 'various', 'classes', 'of', 'countable', 'planes', 'most', 'notably', 'the', 'class', 'of', 'countable', 'nondesarguesian', 'projective', 'planes', 'we', 'use', 'constructions', 'of', 'the', 'second', 'author', 'to', 'show', 'that', 'these', 'equivalence', 'relations', 'are', 'invariantly', 'universal', 'in', 'the', 'sense', 'of', '3', 'and', 'thus', 'in', 'particular', 'complete', 'analytic', 'we', 'also', 'introduce', 'a', 'new', 'kind', 'of', 'borel', 'reducibility', 'relation', 'for', 'standard', 'borel', 'gspaces', 'which', 'requires', 'the', 'preservation', 'of', 'stabilizers', 'and', 'explain', 'its', 'connection', 'with', 'the', 'notion', 'of', 'full', 'embeddings', 'commonly', 'considered', 'in', 'category', 'theory']] | [-0.13322659340464388, 0.08984094500825134, -0.04879035505101732, 0.1293147379461595, -0.10253670805579294, -0.08283621509073545, 0.048071342217989026, 0.3496041504929409, -0.301595582435687, -0.2510138514917344, 0.08507613787483222, -0.24626632503476803, -0.1398349153679864, 0.20171622948280699, -0.11661723838187754, 0.03249130098075788, 0.024192988009536235, 0.07262272581093661, -0.12809502224326538, -0.26246504526858666, 0.4569600047189337, -0.05278269772964489, 0.27517134333080007, 0.03312215905980733, 0.10525206225397794, 0.021059593102267092, -0.07335682070824197, 0.03184641655230814, -0.18508678493154826, 0.1695629997867281, 0.2706774137205566, 0.15301239560358226, 0.21081189651411716, -0.35042715938913677, -0.13604064553004244, 0.15416810354825272, 0.09807189933844315, 0.030745811625029488, -0.0027604080273506597, -0.26874130389541795, 0.12470210115197519, -0.19469076099314564, -0.11848163112501978, -0.08891253844510925, 0.05805308537800675, 0.021859999837191856, -0.1717419877152323, 0.010152618332105467, 0.177468613397492, 0.12621996315757986, -0.03924447819767722, -0.019212259217570332, -0.029426496216531275, 0.11657755622012622, -0.007792554203542354, 0.003130297454924363, 0.03162306464661885, -0.06975530578410657, -0.1636692743796511, 0.3889913496399379, -0.049402663441192686, -0.21311608665501294, 0.19400163450399818, -0.17838232817998884, -0.22835766662256388, 0.05916048608133164, 0.09498616561809879, 0.12158753736066105, -0.06775919365210702, 0.171217299900372, -0.0935871047473958, 0.09848296230294458, 0.1013078681729815, 0.054293257280495826, 0.12691050293126507, 0.10336359220040638, 0.05088304386109761, 0.13957545917946845, 0.024477306847035397, -0.06198422526738242, -0.37794851652427536, -0.19171676405138618, -0.08141445971863426, 0.06252817831093284, -0.10236080865971693, -0.16937524501396262, 0.3846098957380847, 0.13306451077653986, 0.17364765718356584, 0.15282255316117738, 0.21705097037509247, 0.042627178522272276, 0.042008585109294436, 0.022197075542467443, 0.2076015089608162, 0.1906755801275089, -0.041553703010203724, -0.11196677116506339, 0.004980858810165007, 0.17970831228075954] |
1,801.10108 | Error estimates for spectral convergence of the graph Laplacian on
random geometric graphs towards the Laplace--Beltrami operator | We study the convergence of the graph Laplacian of a random geometric graph
generated by an i.i.d. sample from a $m$-dimensional submanifold $M$ in $R^d$
as the sample size $n$ increases and the neighborhood size $h$ tends to zero.
We show that eigenvalues and eigenvectors of the graph Laplacian converge with
a rate of $O\Big(\big(\frac{\log n}{n}\big)^\frac{1}{2m}\Big)$ to the
eigenvalues and eigenfunctions of the weighted Laplace-Beltrami operator of
$M$.
No information on the submanifold $M$ is needed in the construction of the
graph or the "out-of-sample extension" of the eigenvectors. Of independent
interest is a generalization of the rate of convergence of empirical measures
on submanifolds in $R^d$ in infinity transportation distance.
| stat.ML math.AP math.DG math.PR | we study the convergence of the graph laplacian of a random geometric graph generated by an iid sample from a mdimensional submanifold m in rd as the sample size n increases and the neighborhood size h tends to zero we show that eigenvalues and eigenvectors of the graph laplacian converge with a rate of obigbigfraclog nnbigfrac12mbig to the eigenvalues and eigenfunctions of the weighted laplacebeltrami operator of m no information on the submanifold m is needed in the construction of the graph or the outofsample extension of the eigenvectors of independent interest is a generalization of the rate of convergence of empirical measures on submanifolds in rd in infinity transportation distance | [['we', 'study', 'the', 'convergence', 'of', 'the', 'graph', 'laplacian', 'of', 'a', 'random', 'geometric', 'graph', 'generated', 'by', 'an', 'iid', 'sample', 'from', 'a', 'mdimensional', 'submanifold', 'm', 'in', 'rd', 'as', 'the', 'sample', 'size', 'n', 'increases', 'and', 'the', 'neighborhood', 'size', 'h', 'tends', 'to', 'zero', 'we', 'show', 'that', 'eigenvalues', 'and', 'eigenvectors', 'of', 'the', 'graph', 'laplacian', 'converge', 'with', 'a', 'rate', 'of', 'obigbigfraclog', 'nnbigfrac12mbig', 'to', 'the', 'eigenvalues', 'and', 'eigenfunctions', 'of', 'the', 'weighted', 'laplacebeltrami', 'operator', 'of', 'm', 'no', 'information', 'on', 'the', 'submanifold', 'm', 'is', 'needed', 'in', 'the', 'construction', 'of', 'the', 'graph', 'or', 'the', 'outofsample', 'extension', 'of', 'the', 'eigenvectors', 'of', 'independent', 'interest', 'is', 'a', 'generalization', 'of', 'the', 'rate', 'of', 'convergence', 'of', 'empirical', 'measures', 'on', 'submanifolds', 'in', 'rd', 'in', 'infinity', 'transportation', 'distance']] | [-0.14287510451031935, 0.06895131182575431, -0.05491250172394131, 0.02279934706807205, -0.041653913971241734, -0.05436628429783047, 0.04188230691836515, 0.3324909736017842, -0.25173384022958784, -0.23627653617172614, 0.12419788845934383, -0.35979895044220694, -0.12982719786862476, 0.10970816578408447, -0.11682588177083761, 0.0821676847242981, 0.12213492835444663, 0.14353603271579524, -0.05217217457418783, -0.22871626401426903, 0.3401922635016365, 0.039895558608012326, 0.2200060054540224, 0.013282993647116109, 0.07487912140327395, -0.003628423785654093, -0.02885910596083337, 0.015724931243879702, -0.16248692028522715, 0.13769959434525136, 0.21164322186500653, 0.1429595242519708, 0.3055551155137086, -0.35978652007913603, -0.14428111936212432, 0.22086017836021996, 0.16927775480024038, -0.02096311913786131, 0.012581761091212751, -0.29057055897583517, 0.11329373032059692, -0.05981872170958497, -0.1639627953008706, -0.0032374238496039646, 0.05547741058799481, 0.04048443252195117, -0.31861840555051324, 0.03929574451400736, 0.13050281450391635, 0.05976809151195643, -0.017151535471576617, -0.16060616445958342, -0.05997172136013524, 0.09986695013470401, 0.037802773002330044, 0.04171598395610382, 0.10998033898788581, -0.044630834832787514, -0.09475742076703031, 0.3266528037402335, -0.09575047918569742, -0.2687825539892693, 0.10715413537867573, -0.18229838147110075, -0.08547937655271406, 0.10256856498778413, 0.220093432574644, 0.12796866710921492, -0.08909597316299728, 0.1875791625368597, -0.06272503032152532, 0.09850605380712846, 0.06645000711032147, 0.029788984223952465, 0.08535216256566004, 0.15996435770782036, 0.20796651521338783, 0.1399035595630834, -0.061667432038779925, -0.07429711566810761, -0.3436308525024204, -0.17795229081834513, -0.3275132233943414, 0.1395144963449021, -0.2460083267925181, -0.2197007445464714, 0.40847252147408936, 0.09088299531968089, 0.2613159640213697, 0.12242420085005189, 0.21047673098435368, 0.08871458389971473, 0.024416217298477615, 0.14054092268433865, 0.12099302061534392, 0.2123009020637789, 0.04840702619061831, -0.20673930117488762, 0.01669455971568823, 0.1348043210257631] |
1,801.10109 | Trajectory-based Radical Analysis Network for Online Handwritten Chinese
Character Recognition | Recently, great progress has been made for online handwritten Chinese
character recognition due to the emergence of deep learning techniques.
However, previous research mostly treated each Chinese character as one class
without explicitly considering its inherent structure, namely the radical
components with complicated geometry. In this study, we propose a novel
trajectory-based radical analysis network (TRAN) to firstly identify radicals
and analyze two-dimensional structures among radicals simultaneously, then
recognize Chinese characters by generating captions of them based on the
analysis of their internal radicals. The proposed TRAN employs recurrent neural
networks (RNNs) as both an encoder and a decoder. The RNN encoder makes full
use of online information by directly transforming handwriting trajectory into
high-level features. The RNN decoder aims at generating the caption by
detecting radicals and spatial structures through an attention model. The
manner of treating a Chinese character as a two-dimensional composition of
radicals can reduce the size of vocabulary and enable TRAN to possess the
capability of recognizing unseen Chinese character classes, only if the
corresponding radicals have been seen. Evaluated on CASIA-OLHWDB database, the
proposed approach significantly outperforms the state-of-the-art
whole-character modeling approach with a relative character error rate (CER)
reduction of 10%. Meanwhile, for the case of recognition of 500 unseen Chinese
characters, TRAN can achieve a character accuracy of about 60% while the
traditional whole-character method has no capability to handle them.
| cs.CV | recently great progress has been made for online handwritten chinese character recognition due to the emergence of deep learning techniques however previous research mostly treated each chinese character as one class without explicitly considering its inherent structure namely the radical components with complicated geometry in this study we propose a novel trajectorybased radical analysis network tran to firstly identify radicals and analyze twodimensional structures among radicals simultaneously then recognize chinese characters by generating captions of them based on the analysis of their internal radicals the proposed tran employs recurrent neural networks rnns as both an encoder and a decoder the rnn encoder makes full use of online information by directly transforming handwriting trajectory into highlevel features the rnn decoder aims at generating the caption by detecting radicals and spatial structures through an attention model the manner of treating a chinese character as a twodimensional composition of radicals can reduce the size of vocabulary and enable tran to possess the capability of recognizing unseen chinese character classes only if the corresponding radicals have been seen evaluated on casiaolhwdb database the proposed approach significantly outperforms the stateoftheart wholecharacter modeling approach with a relative character error rate cer reduction of 10 meanwhile for the case of recognition of 500 unseen chinese characters tran can achieve a character accuracy of about 60 while the traditional wholecharacter method has no capability to handle them | [['recently', 'great', 'progress', 'has', 'been', 'made', 'for', 'online', 'handwritten', 'chinese', 'character', 'recognition', 'due', 'to', 'the', 'emergence', 'of', 'deep', 'learning', 'techniques', 'however', 'previous', 'research', 'mostly', 'treated', 'each', 'chinese', 'character', 'as', 'one', 'class', 'without', 'explicitly', 'considering', 'its', 'inherent', 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1,801.1011 | Surprise in Elections | Elections involving a very large voter population often lead to outcomes that
surprise many. This is particularly important for the elections in which
results affect the economy of a sizable population. A better prediction of the
true outcome helps reduce the surprise and keeps the voters prepared. This
paper starts from the basic observation that individuals in the underlying
population build estimates of the distribution of preferences of the whole
population based on their local neighborhoods. The outcome of the election
leads to a surprise if these local estimates contradict the outcome of the
election for some fixed voting rule. To get a quantitative understanding, we
propose a simple mathematical model of the setting where the individuals in the
population and their connections (through geographical proximity, social
networks etc.) are described by a random graph with connection probabilities
that are biased based on the preferences of the individuals. Each individual
also has some estimate of the bias in their connections.
We show that the election outcome leads to a surprise if the discrepancy
between the estimated bias and the true bias in the local connections exceeds a
certain threshold, and confirm the phenomenon that surprising outcomes are
associated only with {\em closely contested elections}. We compare standard
voting rules based on their performance on surprise and show that they have
different behavior for different parts of the population. It also hints at an
impossibility that a single voting rule will be less surprising for {\em all}
parts of a population. Finally, we experiment with the UK-EU referendum
(a.k.a.\ Brexit) dataset that attest some of our theoretical predictions.
| cs.GT | elections involving a very large voter population often lead to outcomes that surprise many this is particularly important for the elections in which results affect the economy of a sizable population a better prediction of the true outcome helps reduce the surprise and keeps the voters prepared this paper starts from the basic observation that individuals in the underlying population build estimates of the distribution of preferences of the whole population based on their local neighborhoods the outcome of the election leads to a surprise if these local estimates contradict the outcome of the election for some fixed voting rule to get a quantitative understanding we propose a simple mathematical model of the setting where the individuals in the population and their connections through geographical proximity social networks etc are described by a random graph with connection probabilities that are biased based on the preferences of the individuals each individual also has some estimate of the bias in their connections we show that the election outcome leads to a surprise if the discrepancy between the estimated bias and the true bias in the local connections exceeds a certain threshold and confirm the phenomenon that surprising outcomes are associated only with em closely contested elections we compare standard voting rules based on their performance on surprise and show that they have different behavior for different parts of the population it also hints at an impossibility that a single voting rule will be less surprising for em all parts of a population finally we experiment with the ukeu referendum aka brexit dataset that attest some of our theoretical predictions | [['elections', 'involving', 'a', 'very', 'large', 'voter', 'population', 'often', 'lead', 'to', 'outcomes', 'that', 'surprise', 'many', 'this', 'is', 'particularly', 'important', 'for', 'the', 'elections', 'in', 'which', 'results', 'affect', 'the', 'economy', 'of', 'a', 'sizable', 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1,801.10111 | Video-based Sign Language Recognition without Temporal Segmentation | Millions of hearing impaired people around the world routinely use some variants of sign languages to communicate, thus the automatic translation of a sign language is meaningful and important. Currently, there are two sub-problems in Sign Language Recognition (SLR), i.e., isolated SLR that recognizes word by word and continuous SLR that translates entire sentences. Existing continuous SLR methods typically utilize isolated SLRs as building blocks, with an extra layer of preprocessing (temporal segmentation) and another layer of post-processing (sentence synthesis). Unfortunately, temporal segmentation itself is non-trivial and inevitably propagates errors into subsequent steps. Worse still, isolated SLR methods typically require strenuous labeling of each word separately in a sentence, severely limiting the amount of attainable training data. To address these challenges, we propose a novel continuous sign recognition framework, the Hierarchical Attention Network with Latent Space (LS-HAN), which eliminates the preprocessing of temporal segmentation. The proposed LS-HAN consists of three components: a two-stream Convolutional Neural Network (CNN) for video feature representation generation, a Latent Space (LS) for semantic gap bridging, and a Hierarchical Attention Network (HAN) for latent space based recognition. Experiments are carried out on two large scale datasets. Experimental results demonstrate the effectiveness of the proposed framework. | cs.CV | millions of hearing impaired people around the world routinely use some variants of sign languages to communicate thus the automatic translation of a sign language is meaningful and important currently there are two subproblems in sign language recognition slr ie isolated slr that recognizes word by word and continuous slr that translates entire sentences existing continuous slr methods typically utilize isolated slrs as building blocks with an extra layer of preprocessing temporal segmentation and another layer of postprocessing sentence synthesis unfortunately temporal segmentation itself is nontrivial and inevitably propagates errors into subsequent steps worse still isolated slr methods typically require strenuous labeling of each word separately in a sentence severely limiting the amount of attainable training data to address these challenges we propose a novel continuous sign recognition framework the hierarchical attention network with latent space lshan which eliminates the preprocessing of temporal segmentation the proposed lshan consists of three components a twostream convolutional neural network cnn for video feature representation generation a latent space ls for semantic gap bridging and a hierarchical attention network han for latent space based recognition experiments are carried out on two large scale datasets experimental results demonstrate the effectiveness of the proposed framework | [['millions', 'of', 'hearing', 'impaired', 'people', 'around', 'the', 'world', 'routinely', 'use', 'some', 'variants', 'of', 'sign', 'languages', 'to', 'communicate', 'thus', 'the', 'automatic', 'translation', 'of', 'a', 'sign', 'language', 'is', 'meaningful', 'and', 'important', 'currently', 'there', 'are', 'two', 'subproblems', 'in', 'sign', 'language', 'recognition', 'slr', 'ie', 'isolated', 'slr', 'that', 'recognizes', 'word', 'by', 'word', 'and', 'continuous', 'slr', 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1,801.10112 | Riemannian Walk for Incremental Learning: Understanding Forgetting and
Intransigence | Incremental learning (IL) has received a lot of attention recently, however,
the literature lacks a precise problem definition, proper evaluation settings,
and metrics tailored specifically for the IL problem. One of the main
objectives of this work is to fill these gaps so as to provide a common ground
for better understanding of IL. The main challenge for an IL algorithm is to
update the classifier whilst preserving existing knowledge. We observe that, in
addition to forgetting, a known issue while preserving knowledge, IL also
suffers from a problem we call intransigence, inability of a model to update
its knowledge. We introduce two metrics to quantify forgetting and
intransigence that allow us to understand, analyse, and gain better insights
into the behaviour of IL algorithms. We present RWalk, a generalization of
EWC++ (our efficient version of EWC [Kirkpatrick2016EWC]) and Path Integral
[Zenke2017Continual] with a theoretically grounded KL-divergence based
perspective. We provide a thorough analysis of various IL algorithms on MNIST
and CIFAR-100 datasets. In these experiments, RWalk obtains superior results in
terms of accuracy, and also provides a better trade-off between forgetting and
intransigence.
| cs.CV | incremental learning il has received a lot of attention recently however the literature lacks a precise problem definition proper evaluation settings and metrics tailored specifically for the il problem one of the main objectives of this work is to fill these gaps so as to provide a common ground for better understanding of il the main challenge for an il algorithm is to update the classifier whilst preserving existing knowledge we observe that in addition to forgetting a known issue while preserving knowledge il also suffers from a problem we call intransigence inability of a model to update its knowledge we introduce two metrics to quantify forgetting and intransigence that allow us to understand analyse and gain better insights into the behaviour of il algorithms we present rwalk a generalization of ewc our efficient version of ewc kirkpatrick2016ewc and path integral zenke2017continual with a theoretically grounded kldivergence based perspective we provide a thorough analysis of various il algorithms on mnist and cifar100 datasets in these experiments rwalk obtains superior results in terms of accuracy and also provides a better tradeoff between forgetting and intransigence | [['incremental', 'learning', 'il', 'has', 'received', 'a', 'lot', 'of', 'attention', 'recently', 'however', 'the', 'literature', 'lacks', 'a', 'precise', 'problem', 'definition', 'proper', 'evaluation', 'settings', 'and', 'metrics', 'tailored', 'specifically', 'for', 'the', 'il', 'problem', 'one', 'of', 'the', 'main', 'objectives', 'of', 'this', 'work', 'is', 'to', 'fill', 'these', 'gaps', 'so', 'as', 'to', 'provide', 'a', 'common', 'ground', 'for', 'better', 'understanding', 'of', 'il', 'the', 'main', 'challenge', 'for', 'an', 'il', 'algorithm', 'is', 'to', 'update', 'the', 'classifier', 'whilst', 'preserving', 'existing', 'knowledge', 'we', 'observe', 'that', 'in', 'addition', 'to', 'forgetting', 'a', 'known', 'issue', 'while', 'preserving', 'knowledge', 'il', 'also', 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1,801.10113 | Quantum coherence, many-body correlations, and non-thermal effects for
autonomous thermal machines | One of the principal objectives of quantum thermodynamics is to explore
quantum effects and their potential beneficial role in thermodynamic tasks like
work extraction or refrigeration. So far, even though several papers have
already shown that quantum effect could indeed bring quantum advantages, a
global and deeper understanding is still lacking. Here, we extend previous
models of autonomous machines to include quantum batteries made of arbitrary
systems of discrete spectrum. We establish their actual efficiency, which
allows us to derive an efficiency upper bound, called maximal achievable
efficiency, shown to be always achievable, in contrast with previous upper
bounds based only on the Second Law. Such maximal achievable efficiency can be
expressed simply in term of the it apparent temperature of the quantum battery.
This important result appears to be a powerful tool to understand how quantum
features like coherence but also many-body correlations and non-thermal
population distribution can be harnessed to increase the efficiency of thermal
machines.
| quant-ph | one of the principal objectives of quantum thermodynamics is to explore quantum effects and their potential beneficial role in thermodynamic tasks like work extraction or refrigeration so far even though several papers have already shown that quantum effect could indeed bring quantum advantages a global and deeper understanding is still lacking here we extend previous models of autonomous machines to include quantum batteries made of arbitrary systems of discrete spectrum we establish their actual efficiency which allows us to derive an efficiency upper bound called maximal achievable efficiency shown to be always achievable in contrast with previous upper bounds based only on the second law such maximal achievable efficiency can be expressed simply in term of the it apparent temperature of the quantum battery this important result appears to be a powerful tool to understand how quantum features like coherence but also manybody correlations and nonthermal population distribution can be harnessed to increase the efficiency of thermal machines | [['one', 'of', 'the', 'principal', 'objectives', 'of', 'quantum', 'thermodynamics', 'is', 'to', 'explore', 'quantum', 'effects', 'and', 'their', 'potential', 'beneficial', 'role', 'in', 'thermodynamic', 'tasks', 'like', 'work', 'extraction', 'or', 'refrigeration', 'so', 'far', 'even', 'though', 'several', 'papers', 'have', 'already', 'shown', 'that', 'quantum', 'effect', 'could', 'indeed', 'bring', 'quantum', 'advantages', 'a', 'global', 'and', 'deeper', 'understanding', 'is', 'still', 'lacking', 'here', 'we', 'extend', 'previous', 'models', 'of', 'autonomous', 'machines', 'to', 'include', 'quantum', 'batteries', 'made', 'of', 'arbitrary', 'systems', 'of', 'discrete', 'spectrum', 'we', 'establish', 'their', 'actual', 'efficiency', 'which', 'allows', 'us', 'to', 'derive', 'an', 'efficiency', 'upper', 'bound', 'called', 'maximal', 'achievable', 'efficiency', 'shown', 'to', 'be', 'always', 'achievable', 'in', 'contrast', 'with', 'previous', 'upper', 'bounds', 'based', 'only', 'on', 'the', 'second', 'law', 'such', 'maximal', 'achievable', 'efficiency', 'can', 'be', 'expressed', 'simply', 'in', 'term', 'of', 'the', 'it', 'apparent', 'temperature', 'of', 'the', 'quantum', 'battery', 'this', 'important', 'result', 'appears', 'to', 'be', 'a', 'powerful', 'tool', 'to', 'understand', 'how', 'quantum', 'features', 'like', 'coherence', 'but', 'also', 'manybody', 'correlations', 'and', 'nonthermal', 'population', 'distribution', 'can', 'be', 'harnessed', 'to', 'increase', 'the', 'efficiency', 'of', 'thermal', 'machines']] | [-0.09719046609641253, 0.13052970517651086, -0.10399706530255041, 0.09153178193727272, -0.08826979827076857, -0.1821454113196063, 0.08255509047951738, 0.34806594682291525, -0.2721491724361748, -0.3351528066817577, 0.0917469960662442, -0.2449227705778579, -0.12702442584647738, 0.2443223151354756, -0.08160238304540893, 0.08388504439882369, 0.0394919763070154, 0.055933074890105405, -0.022860390534978126, -0.2687970646097077, 0.2510116460550388, 0.12842551029738203, 0.31156174181606855, 0.13081928008365667, 0.04989020771912853, -0.06063820112826703, 0.0047876706458863955, 0.027051516964772267, -0.12446914098684748, 0.13463462024663364, 0.2978976818483923, 0.12258316795952298, 0.26181545696233083, -0.4495456036227413, -0.26359535825583946, 0.151075911666915, 0.1841514034467879, 0.10713407812312929, -0.018769895275494768, -0.2275404428976258, 0.06174010761035017, -0.2014209441781704, -0.14138798097360739, -0.12856187200723762, -0.016539076967990098, -0.009390601764515609, -0.2121359155737335, 0.06551763941250194, 0.13448542078273207, 0.026982162066343348, -0.014667963948398475, -0.09840963116575834, 0.02971671945769104, 0.16254352255064192, -0.004309174931855707, -0.01752832739781942, 0.15828560020102636, -0.1373813874368214, -0.1553337732359437, 0.37222428738929425, -0.04387126931378359, -0.1837133100798613, 0.2006671432836005, -0.13849428031133795, -0.1228946924410006, 0.07036917716783436, 0.16445616249855655, 0.10212879766411881, -0.16182420123663224, 0.059075219205601284, 0.032883553901286444, 0.17355279238817953, 0.0254380825459014, 0.14730557669735148, 0.22690668370857647, 0.15410443244773092, 0.08271116487935327, 0.16532157000472558, -0.038962047349269606, -0.14583047717821465, -0.22380019235129975, -0.18330040189055902, -0.19560204230468498, 0.10309710809843073, -0.045583251749236824, -0.12187644748549166, 0.3294992950167271, 0.20290072875309595, 0.14912740709377995, 0.02502275328667646, 0.31177663290283725, 0.14472156148433354, 0.07853137589755314, 0.07555963120222846, 0.28644956491557483, 0.1425580108933198, 0.08782551826944551, -0.2333713990971048, 0.0889238122632562, 0.018358223060664685] |
1,801.10114 | Solutions to aggregation-diffusion equations with nonlinear mobility
constructed via a deterministic particle approximation | We investigate the existence of weak type solutions for a class of
aggregation-diffusion PDEs with nonlinear mobility obtained as large particle
limit of a suitable nonlocal version of the follow-the-leader scheme, which is
interpreted as the discrete Lagrangian approximation of the target continuity
equation. We restrict the analysis to nonnegative initial data in $L^{\infty}
\cap BV$ away from vacuum and supported in a closed interval with zero-velocity
boundary conditions. The main novelties of this work concern the presence of a
nonlinear mobility term and the non strict monotonicity of the diffusion
function. As a consequence, our result applies also to strongly degenerate
diffusion equations. The conclusions are complemented with some numerical
simulations.
| math.AP | we investigate the existence of weak type solutions for a class of aggregationdiffusion pdes with nonlinear mobility obtained as large particle limit of a suitable nonlocal version of the followtheleader scheme which is interpreted as the discrete lagrangian approximation of the target continuity equation we restrict the analysis to nonnegative initial data in linfty cap bv away from vacuum and supported in a closed interval with zerovelocity boundary conditions the main novelties of this work concern the presence of a nonlinear mobility term and the non strict monotonicity of the diffusion function as a consequence our result applies also to strongly degenerate diffusion equations the conclusions are complemented with some numerical simulations | [['we', 'investigate', 'the', 'existence', 'of', 'weak', 'type', 'solutions', 'for', 'a', 'class', 'of', 'aggregationdiffusion', 'pdes', 'with', 'nonlinear', 'mobility', 'obtained', 'as', 'large', 'particle', 'limit', 'of', 'a', 'suitable', 'nonlocal', 'version', 'of', 'the', 'followtheleader', 'scheme', 'which', 'is', 'interpreted', 'as', 'the', 'discrete', 'lagrangian', 'approximation', 'of', 'the', 'target', 'continuity', 'equation', 'we', 'restrict', 'the', 'analysis', 'to', 'nonnegative', 'initial', 'data', 'in', 'linfty', 'cap', 'bv', 'away', 'from', 'vacuum', 'and', 'supported', 'in', 'a', 'closed', 'interval', 'with', 'zerovelocity', 'boundary', 'conditions', 'the', 'main', 'novelties', 'of', 'this', 'work', 'concern', 'the', 'presence', 'of', 'a', 'nonlinear', 'mobility', 'term', 'and', 'the', 'non', 'strict', 'monotonicity', 'of', 'the', 'diffusion', 'function', 'as', 'a', 'consequence', 'our', 'result', 'applies', 'also', 'to', 'strongly', 'degenerate', 'diffusion', 'equations', 'the', 'conclusions', 'are', 'complemented', 'with', 'some', 'numerical', 'simulations']] | [-0.13695403309455806, 0.04027978650369083, -0.06957091321653154, 0.06815998331876472, -0.07455654925226034, -0.1156988042015915, 0.020647268779742132, 0.2937375411690612, -0.295872340074441, -0.23025562642474792, 0.14600699890953756, -0.25835889153781216, -0.11451805806635613, 0.17777546433353564, -0.06340382192865945, 0.07167155039912489, 0.08944663031018406, 0.015648095577489585, -0.07353005576961939, -0.1894844606202761, 0.3713142388067873, -0.026536905291452837, 0.22652318138196798, 0.06668734397473079, 0.10778287517626138, -0.002465040219249204, -0.02085304626130632, 0.05661342194902578, -0.1661800975312612, 0.09824908810177087, 0.19425469729633602, 0.03661712148459628, 0.29118007369938176, -0.4057899365767038, -0.2377553223632276, 0.0838589641831017, 0.11093798368321066, 0.10182091171632887, -0.06648064094978119, -0.30490774929889347, 0.08772226837131061, -0.12328050028632528, -0.22697859115266641, -0.04732714211734544, -0.013043833372648805, 0.08226735306068024, -0.30583887161420925, 0.129265479566519, 0.09661289558113952, 0.024734176229685545, -0.1237408055603737, -0.0891067589441913, -0.04785763408498107, 0.06926426682912279, 0.08231810130278713, 0.01471548578410875, 0.07912470187043905, -0.11125413308244399, -0.058589926305493076, 0.37573727312597577, -0.1403307316151248, -0.26557818475911127, 0.19164602520842372, -0.12475536762836523, -0.1322255542639011, 0.12017711687700025, 0.15416630578693002, 0.1571592764729368, -0.14290820257000242, 0.13219357625452435, -0.06552989298714758, 0.12156254576569024, 0.05126564847887494, 0.045504905239795335, 0.10316024838747191, 0.14976955232227088, 0.1202318123250734, 0.12944927421631292, -0.03249255572674364, -0.13738185340896183, -0.40548089858410613, -0.1341907300271227, -0.16914315736045996, 0.09768157526299806, -0.0937576747588277, -0.21455057002335057, 0.34573273939281535, 0.10933245337218978, 0.17588864918798208, 0.08015099110551611, 0.23493452605492035, 0.1721724842479619, 0.0037369378343490617, 0.05820804771272898, 0.20465940732356103, 0.168971019986202, 0.1333759518913991, -0.21988421493317997, 0.024313237263413612, 0.11572675976120601] |
1,801.10115 | Quantum-limited Parametric Amplification with Josephson Circuits in the
Regime of Pump Depletion | Linear parametric amplification is a key operation in information processing.
Our interest here is quantum-limited parametric amplification, $i.e.$,
amplification of quantum signals while adding the minimum amount of noise
allowed by quantum mechanics, which is essential for any viable implementation
of quantum information processing. We describe parametric amplifiers based on
the dispersive nonlinearity of Josephson junctions driven with appropriate
tones playing the role of pumps. We discuss two defining characteristics in the
architecture of these amplifiers: the number of modes occupied by the signal,
idler and pump waves and the number of independent ports through which these
waves enter into the circuit. The scattering properties of these amplifiers is
also reviewed. The main focus of this work are the computations of the dynamic
range and phase-space distributions of the fluctuations of the modes of the
amplifiers.
| quant-ph cond-mat.mes-hall | linear parametric amplification is a key operation in information processing our interest here is quantumlimited parametric amplification ie amplification of quantum signals while adding the minimum amount of noise allowed by quantum mechanics which is essential for any viable implementation of quantum information processing we describe parametric amplifiers based on the dispersive nonlinearity of josephson junctions driven with appropriate tones playing the role of pumps we discuss two defining characteristics in the architecture of these amplifiers the number of modes occupied by the signal idler and pump waves and the number of independent ports through which these waves enter into the circuit the scattering properties of these amplifiers is also reviewed the main focus of this work are the computations of the dynamic range and phasespace distributions of the fluctuations of the modes of the amplifiers | [['linear', 'parametric', 'amplification', 'is', 'a', 'key', 'operation', 'in', 'information', 'processing', 'our', 'interest', 'here', 'is', 'quantumlimited', 'parametric', 'amplification', 'ie', 'amplification', 'of', 'quantum', 'signals', 'while', 'adding', 'the', 'minimum', 'amount', 'of', 'noise', 'allowed', 'by', 'quantum', 'mechanics', 'which', 'is', 'essential', 'for', 'any', 'viable', 'implementation', 'of', 'quantum', 'information', 'processing', 'we', 'describe', 'parametric', 'amplifiers', 'based', 'on', 'the', 'dispersive', 'nonlinearity', 'of', 'josephson', 'junctions', 'driven', 'with', 'appropriate', 'tones', 'playing', 'the', 'role', 'of', 'pumps', 'we', 'discuss', 'two', 'defining', 'characteristics', 'in', 'the', 'architecture', 'of', 'these', 'amplifiers', 'the', 'number', 'of', 'modes', 'occupied', 'by', 'the', 'signal', 'idler', 'and', 'pump', 'waves', 'and', 'the', 'number', 'of', 'independent', 'ports', 'through', 'which', 'these', 'waves', 'enter', 'into', 'the', 'circuit', 'the', 'scattering', 'properties', 'of', 'these', 'amplifiers', 'is', 'also', 'reviewed', 'the', 'main', 'focus', 'of', 'this', 'work', 'are', 'the', 'computations', 'of', 'the', 'dynamic', 'range', 'and', 'phasespace', 'distributions', 'of', 'the', 'fluctuations', 'of', 'the', 'modes', 'of', 'the', 'amplifiers']] | [-0.20191985900815138, 0.18949005843879765, -0.034427654929459095, -0.01893386802968213, -0.057396540226524365, -0.14031846130006564, 0.03747347243274014, 0.3317030071578783, -0.2570169093224275, -0.27589302417575656, 0.0869633680464604, -0.26962269552271156, -0.1352682732155218, 0.25305012305376723, -0.018097745986511548, 0.10567878192181096, 0.0063109289245296485, -0.00011823212673120638, 0.01730198632353944, -0.17233119291760138, 0.30870606876252327, 0.05513181882270146, 0.3299900878474171, -0.01998149578781415, 0.13121562669916517, 0.004670348915490596, -0.030341807273490465, -0.08224328938762054, -0.1073396651635823, 0.11672189353746087, 0.2840043080470744, 0.09973459837564246, 0.2890616123742588, -0.4726563690449385, -0.2209127417719334, 0.08894313907213099, 0.13166266074061722, 0.14121426842586302, -0.041705631278626455, -0.2643240477465203, 0.014821749180555344, -0.1210679750862148, -0.042565121575642156, -0.04953756829662084, -0.015254658030565171, 0.07577020739614347, -0.24096923222874894, 0.03286415984428673, 0.12502505235213046, 0.041951347532791686, 0.048549103420501685, -0.062030568314880574, -0.029440597054096598, 0.097221749887788, -0.03180581095517375, -0.0753802001965917, 0.16531478525618748, -0.17449657325221993, -0.11278491891810999, 0.3232475145611234, -0.04384434429641046, -0.18764698057202622, 0.11556295433718547, -0.12311262739154592, -0.07125831326394451, 0.1278891722117003, 0.16844483019838877, 0.04997875941005665, -0.1299967620306073, 0.03927702964189367, 0.05348317365518168, 0.19409288035154426, 0.11226013398503282, 0.16861644696430578, 0.23302463287323275, 0.18413558777640848, 0.025325659323511097, 0.1725429246263743, -0.09673947740092818, -0.08157526615404469, -0.3665358292239355, -0.11907369404798374, -0.1855475452286876, 0.025639344554613617, -0.07355997931549876, -0.14821383925428724, 0.4427587973392185, 0.18447686256738105, 0.133592680830214, -0.02247144459055134, 0.3694321006632355, 0.17572709862810476, 0.06852959789787694, 0.03237762635313522, 0.29143265484804837, 0.20602178198340185, 0.07336201137513854, -0.2566508945413208, 0.02966353902935653, -0.02184947206200484] |
1,801.10116 | Inhomogeneities and caustics in the sedimentation of noninertial
particles in incompressible flows | In an incompressible flow, fluid density remains invariant along fluid
element trajectories. This implies that the spatial distribution of
non-interacting noninertial particles in such flows cannot develop density
inhomogeneities beyond those that are already introduced in the initial
condition. However, in certain practical situations, density is measured or
accumulated on (hyper-) surfaces of dimensionality lower than the full
dimensionality of the flow in which the particles move. An example is the
observation of particle distributions sedimented on the floor of the ocean. In
such cases, even if the initial distribution of noninertial particles is
uniform within a finite support in an incompressible flow, advection in the
flow will give rise to inhomogeneities in the observed density. In this paper
we analytically derive, in the framework of an initially homogeneous particle
sheet sedimenting towards a bottom surface, the relationship between the
geometry of the flow and the emerging distribution. From a physical point of
view, we identify the two processes that generate inhomogeneities to be the
stretching within the sheet, and the projection of the deformed sheet onto the
target surface. We point out that an extreme form of inhomogeneity, caustics,
can develop for sheets. We exemplify our geometrical results with simulations
of particle advection in a simple kinematic flow, study the dependence on
various parameters involved, and illustrate that the basic mechanisms work
similarly if the initial (homogeneous) distribution occupies a more general
region of finite extension rather than a sheet.
| physics.flu-dyn nlin.CD physics.ao-ph | in an incompressible flow fluid density remains invariant along fluid element trajectories this implies that the spatial distribution of noninteracting noninertial particles in such flows cannot develop density inhomogeneities beyond those that are already introduced in the initial condition however in certain practical situations density is measured or accumulated on hyper surfaces of dimensionality lower than the full dimensionality of the flow in which the particles move an example is the observation of particle distributions sedimented on the floor of the ocean in such cases even if the initial distribution of noninertial particles is uniform within a finite support in an incompressible flow advection in the flow will give rise to inhomogeneities in the observed density in this paper we analytically derive in the framework of an initially homogeneous particle sheet sedimenting towards a bottom surface the relationship between the geometry of the flow and the emerging distribution from a physical point of view we identify the two processes that generate inhomogeneities to be the stretching within the sheet and the projection of the deformed sheet onto the target surface we point out that an extreme form of inhomogeneity caustics can develop for sheets we exemplify our geometrical results with simulations of particle advection in a simple kinematic flow study the dependence on various parameters involved and illustrate that the basic mechanisms work similarly if the initial homogeneous distribution occupies a more general region of finite extension rather than a sheet | [['in', 'an', 'incompressible', 'flow', 'fluid', 'density', 'remains', 'invariant', 'along', 'fluid', 'element', 'trajectories', 'this', 'implies', 'that', 'the', 'spatial', 'distribution', 'of', 'noninteracting', 'noninertial', 'particles', 'in', 'such', 'flows', 'can', 'not', 'develop', 'density', 'inhomogeneities', 'beyond', 'those', 'that', 'are', 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1,801.10117 | PrivPy: Enabling Scalable and General Privacy-Preserving Machine
Learning | We introduce PrivPy, a practical privacy-preserving collaborative computation
framework, especially optimized for machine learning tasks. PrivPy provides an
easy-to-use and highly compatible Python programming front-end which supports
high-level array operations and different secure computation engines to allow
for security assumptions and performance trade-offs. With PrivPy, programmers
can write modern machine learning algorithms conveniently and efficiently in
Python. We also design and implement a new efficient computation engine, with
which people can use competing cloud providers to efficiently perform general
arithmetics over real numbers. We demonstrate the usability and scalability of
PrivPy using common machine learning models (e.g. logistic regression and
convolutional neural networks) and real-world datasets (including a
5000-by-1-million matrix).
| cs.CR | we introduce privpy a practical privacypreserving collaborative computation framework especially optimized for machine learning tasks privpy provides an easytouse and highly compatible python programming frontend which supports highlevel array operations and different secure computation engines to allow for security assumptions and performance tradeoffs with privpy programmers can write modern machine learning algorithms conveniently and efficiently in python we also design and implement a new efficient computation engine with which people can use competing cloud providers to efficiently perform general arithmetics over real numbers we demonstrate the usability and scalability of privpy using common machine learning models eg logistic regression and convolutional neural networks and realworld datasets including a 5000by1million matrix | [['we', 'introduce', 'privpy', 'a', 'practical', 'privacypreserving', 'collaborative', 'computation', 'framework', 'especially', 'optimized', 'for', 'machine', 'learning', 'tasks', 'privpy', 'provides', 'an', 'easytouse', 'and', 'highly', 'compatible', 'python', 'programming', 'frontend', 'which', 'supports', 'highlevel', 'array', 'operations', 'and', 'different', 'secure', 'computation', 'engines', 'to', 'allow', 'for', 'security', 'assumptions', 'and', 'performance', 'tradeoffs', 'with', 'privpy', 'programmers', 'can', 'write', 'modern', 'machine', 'learning', 'algorithms', 'conveniently', 'and', 'efficiently', 'in', 'python', 'we', 'also', 'design', 'and', 'implement', 'a', 'new', 'efficient', 'computation', 'engine', 'with', 'which', 'people', 'can', 'use', 'competing', 'cloud', 'providers', 'to', 'efficiently', 'perform', 'general', 'arithmetics', 'over', 'real', 'numbers', 'we', 'demonstrate', 'the', 'usability', 'and', 'scalability', 'of', 'privpy', 'using', 'common', 'machine', 'learning', 'models', 'eg', 'logistic', 'regression', 'and', 'convolutional', 'neural', 'networks', 'and', 'realworld', 'datasets', 'including', 'a', '5000by1million', 'matrix']] | [-0.09643873363015575, -0.07138141644827556, -0.06077939541497772, 0.09114824234584876, -0.17560346514935, -0.3009382752966512, 0.0654875175566028, 0.48115731603487333, -0.30780764908418745, -0.3650050746840895, 0.09428718653528892, -0.2081588893240198, -0.1775963754487147, 0.27380337835280993, -0.11873439933870783, 0.15167776319206855, 0.147355141755249, -0.04462281386624304, -0.07636545119602062, -0.29439223155169963, 0.23360174983620233, 0.05850334378352406, 0.34989977810839445, 0.036266143305586016, 0.1014491779067011, 0.006504608211406601, -0.00822582888553654, -0.055014355398646186, -0.03443594848942182, 0.23086829660161304, 0.41366709632855236, 0.29865469107694853, 0.351535367719624, -0.44201137285269454, -0.1428754887876844, 0.06674728430636706, 0.15204362457854687, 0.0656719334529544, -0.04104944773941138, -0.30227682143108014, 0.06503898279160397, -0.25294760908555547, 0.021793867003999292, -0.2635858816600943, -0.04516719463238612, 0.016822254524455158, -0.3198413678590174, -0.05864791312375653, -0.012386946985925283, 0.10647968728300355, 0.06414387904859464, -0.09733593384756647, 0.0831010374411462, 0.12600564069558925, -0.04022171384219183, 0.004220967420265762, 0.20514946715017662, -0.14225907363168416, -0.21373293060732476, 0.3648933283642891, -0.01777054493981969, -0.18986529019370743, 0.23604647452951572, 0.08327186258868613, -0.2077509401656619, 0.03374033324728045, 0.31168728584953403, 0.0796319366872755, -0.18060656294008767, 0.06885792535874959, 0.03168451046964171, 0.2025649186069949, 0.023242729726683245, -0.01234404265254719, 0.18327986262097887, 0.2518605859608415, 0.004482740561964862, 0.1541797360789817, -0.03632974040421119, -0.11576890779676241, -0.16138736250727018, -0.17231421199106023, -0.1385654338695314, -0.03290746461839304, -0.1461304180193778, -0.1593453577941779, 0.3485300640891725, 0.25116145168217496, 0.07637830161908214, 0.1507511527615027, 0.42026924799888504, 0.00018462286663985033, 0.1432106276341808, 0.22347910848335115, 0.07604454358860235, 0.016066370660080275, 0.1900836102218034, -0.12515300966013188, 0.0751901154765227, -0.016746996181275814] |
1,801.10118 | Greedy Morse matchings and discrete smoothness | Discrete Morse theory emerged as an essential tool for computational geometry
and topology. Its core structures are discrete gradient fields, defined as
acyclic matchings on a complex $C$, from which topological and geometrical
informations of $C$ can be efficiently computed, in particular its homology or
Morse-Smale decomposition.
Given a function $f$ sampled on $C$, it is possible to derive a discrete
gradient that mimics the dynamics of $f$. Many such constructions are based on
some variant of a greedy pairing of adjacent cells, given an appropriate
weighting. However, proving that the dynamics of $f$ is correctly captured by
this process is usually intricate.
This work introduces the notion of discrete smoothness of the pair $(f,C)$,
as a minimal sampling condition to ensure that the discrete gradient is
geometrically faithful to $f$. More precisely, a discrete gradient construction
from a function $f$ on a polyhedron complex $C$ of any dimension is studied,
leading to theoretical guarantees prior to the discrete smoothness assumption.
Those results are then extended and completed for the smooth case. As an
application, a purely combinatorial proof that all CAT(0) cube complexes are
collapsible is given.
| math.GT cs.CG cs.DM math.CO | discrete morse theory emerged as an essential tool for computational geometry and topology its core structures are discrete gradient fields defined as acyclic matchings on a complex c from which topological and geometrical informations of c can be efficiently computed in particular its homology or morsesmale decomposition given a function f sampled on c it is possible to derive a discrete gradient that mimics the dynamics of f many such constructions are based on some variant of a greedy pairing of adjacent cells given an appropriate weighting however proving that the dynamics of f is correctly captured by this process is usually intricate this work introduces the notion of discrete smoothness of the pair fc as a minimal sampling condition to ensure that the discrete gradient is geometrically faithful to f more precisely a discrete gradient construction from a function f on a polyhedron complex c of any dimension is studied leading to theoretical guarantees prior to the discrete smoothness assumption those results are then extended and completed for the smooth case as an application a purely combinatorial proof that all cat0 cube complexes are collapsible is given | [['discrete', 'morse', 'theory', 'emerged', 'as', 'an', 'essential', 'tool', 'for', 'computational', 'geometry', 'and', 'topology', 'its', 'core', 'structures', 'are', 'discrete', 'gradient', 'fields', 'defined', 'as', 'acyclic', 'matchings', 'on', 'a', 'complex', 'c', 'from', 'which', 'topological', 'and', 'geometrical', 'informations', 'of', 'c', 'can', 'be', 'efficiently', 'computed', 'in', 'particular', 'its', 'homology', 'or', 'morsesmale', 'decomposition', 'given', 'a', 'function', 'f', 'sampled', 'on', 'c', 'it', 'is', 'possible', 'to', 'derive', 'a', 'discrete', 'gradient', 'that', 'mimics', 'the', 'dynamics', 'of', 'f', 'many', 'such', 'constructions', 'are', 'based', 'on', 'some', 'variant', 'of', 'a', 'greedy', 'pairing', 'of', 'adjacent', 'cells', 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1,801.10119 | An Incremental Path-Following Splitting Method for Linearly Constrained
Nonconvex Nonsmooth Programs | The stationary point of Problem 2 is NOT the stationary point of Problem 1.
We are sorry and we are working on fixing this error.
| cs.LG math.OC | the stationary point of problem 2 is not the stationary point of problem 1 we are sorry and we are working on fixing this error | [['the', 'stationary', 'point', 'of', 'problem', '2', 'is', 'not', 'the', 'stationary', 'point', 'of', 'problem', '1', 'we', 'are', 'sorry', 'and', 'we', 'are', 'working', 'on', 'fixing', 'this', 'error']] | [-0.16144673496484757, 0.08283730573952199, -0.061313417889177796, 0.06130331248044968, -0.03339455083012581, -0.12156027570366859, 0.08840738549828529, 0.41601127803325655, -0.2678365095704794, -0.251368744969368, 0.2021238338202238, -0.32429092190228404, -0.11681001335382461, 0.1554219540581107, -0.12508259266614913, 0.10450545452535152, 0.007433880642056465, 0.05825189433991909, -0.09099495407193899, -0.2567497502267361, 0.40449142262339594, -0.008938366547226906, 0.2009843745827675, 0.03554510906338692, 0.09804853465408087, -0.03201612524688244, -0.015488439192995428, 0.015907872393727304, -0.09820042250677943, 0.05156941163353622, 0.19120388641953467, 0.15748030615970493, 0.32381765097379683, -0.34961852435022595, -0.14432989370077848, 0.1492747588828206, 0.11774629894644022, 0.15369249373674393, -0.006230875165201723, -0.23161541471257807, 0.1932130443304777, -0.07020240843296051, -0.12073206249624491, 0.023948428567382506, -0.02531040392816067, 0.03476413145661354, -0.2718855575285852, 0.07888079080730677, 0.09326638103142613, 0.0731337682902813, -0.08968052875250578, -0.12135708719491958, 0.05419613093137741, 0.1961230978369713, 0.05438480152748525, 0.06498378884047269, 0.10883244972676039, -0.09922454087994993, -0.07254108354449272, 0.37546682052314284, 0.026466839648783207, -0.3017238721251488, 0.1505870907008648, -0.1111445965245366, -0.15506886657327412, 0.12602857306599616, 0.14475865948945285, 0.16753964819014072, -0.11769579622894526, 0.14410991819342597, -0.0705298537760973, 0.11453009844990447, 0.06260470114648342, -0.04798592507839203, 0.1655170976370573, 0.1747807789593935, 0.11883544225245714, 0.11309906370937824, -0.12573445874266326, -0.1063461422920227, -0.3879704922437668, -0.13853560745716095, -0.2044466409087181, 0.0895883484656224, -0.06223088880942669, -0.15808435662649573, 0.372841619849205, 0.17942282065749168, 0.14999016493558884, 0.05564443100825883, 0.2210046488046646, 0.21379499558359386, -0.08958920016884804, 0.14780498264357447, 0.22473058938980103, 0.005908984765410423, 0.035317501407116654, -0.14202898444607853, -0.003678184561431408, 0.07827993586659432] |
1,801.1012 | Development of a new UHV/XHV pressure standard (cold atom vacuum
standard) | The National Institute of Standards and Technology has recently begun a
program to develop a primary pressure standard that is based on ultra-cold
atoms, covering a pressure range of 1 x 10-6 to 1 x 10-10 Pa and possibly
lower. These pressures correspond to the entire ultra-high vacuum range and
extend into the extreme-high vacuum. This cold-atom vacuum standard (CAVS) is
both a primary standard and absolute sensor of vacuum. The CAVS is based on the
loss of cold, sensor atoms (such as the alkali-metal lithium) from a magnetic
trap due to collisions with the background gas (primarily H2) in the vacuum.
The pressure is determined from a thermally-averaged collision cross section,
which is a fundamental atomic property, and the measured loss rate. The CAVS is
primary because it will use collision cross sections determined from ab initio
calculations for the Li + H2 system. Primary traceability is transferred to
other systems of interest using sensitivity coefficients.
| physics.app-ph physics.atom-ph | the national institute of standards and technology has recently begun a program to develop a primary pressure standard that is based on ultracold atoms covering a pressure range of 1 x 106 to 1 x 1010 pa and possibly lower these pressures correspond to the entire ultrahigh vacuum range and extend into the extremehigh vacuum this coldatom vacuum standard cavs is both a primary standard and absolute sensor of vacuum the cavs is based on the loss of cold sensor atoms such as the alkalimetal lithium from a magnetic trap due to collisions with the background gas primarily h2 in the vacuum the pressure is determined from a thermallyaveraged collision cross section which is a fundamental atomic property and the measured loss rate the cavs is primary because it will use collision cross sections determined from ab initio calculations for the li h2 system primary traceability is transferred to other systems of interest using sensitivity coefficients | [['the', 'national', 'institute', 'of', 'standards', 'and', 'technology', 'has', 'recently', 'begun', 'a', 'program', 'to', 'develop', 'a', 'primary', 'pressure', 'standard', 'that', 'is', 'based', 'on', 'ultracold', 'atoms', 'covering', 'a', 'pressure', 'range', 'of', '1', 'x', '106', 'to', '1', 'x', '1010', 'pa', 'and', 'possibly', 'lower', 'these', 'pressures', 'correspond', 'to', 'the', 'entire', 'ultrahigh', 'vacuum', 'range', 'and', 'extend', 'into', 'the', 'extremehigh', 'vacuum', 'this', 'coldatom', 'vacuum', 'standard', 'cavs', 'is', 'both', 'a', 'primary', 'standard', 'and', 'absolute', 'sensor', 'of', 'vacuum', 'the', 'cavs', 'is', 'based', 'on', 'the', 'loss', 'of', 'cold', 'sensor', 'atoms', 'such', 'as', 'the', 'alkalimetal', 'lithium', 'from', 'a', 'magnetic', 'trap', 'due', 'to', 'collisions', 'with', 'the', 'background', 'gas', 'primarily', 'h2', 'in', 'the', 'vacuum', 'the', 'pressure', 'is', 'determined', 'from', 'a', 'thermallyaveraged', 'collision', 'cross', 'section', 'which', 'is', 'a', 'fundamental', 'atomic', 'property', 'and', 'the', 'measured', 'loss', 'rate', 'the', 'cavs', 'is', 'primary', 'because', 'it', 'will', 'use', 'collision', 'cross', 'sections', 'determined', 'from', 'ab', 'initio', 'calculations', 'for', 'the', 'li', 'h2', 'system', 'primary', 'traceability', 'is', 'transferred', 'to', 'other', 'systems', 'of', 'interest', 'using', 'sensitivity', 'coefficients']] | [-0.09489227284774965, 0.1638592273657841, -0.042036974140172524, -0.0004711693588403925, 0.006154433730989695, -0.08298515500500799, 0.0362170102206179, 0.3615145397162245, -0.23722850076493718, -0.3018469813490106, 0.06089686805968203, -0.2852536134181484, 0.010086375727288184, 0.19688888606014512, -0.028363013892404493, 0.08121309543569241, 0.052564811826713624, 0.03631405241997732, -0.039221865815230676, -0.21558925391084724, 0.30670357241986257, 0.11082271437250799, 0.28123077350638565, 0.11283335843453965, 0.11662031055368002, -0.021470145116590202, 0.020684271332837883, -0.03355890661478043, -0.1314260738138053, 0.15564559957842464, 0.2454639449069697, 0.0869828924086065, 0.23174102821898077, -0.4033129398741068, -0.2048756465736416, 0.09927778135414325, 0.07472863217154818, 0.09224761639376201, -0.05092500153358184, -0.2639772672266249, 0.0588146195055977, -0.19192458132522242, -0.10552011606313529, -0.019935891346915837, 0.02111886123856229, 0.031021186556186405, -0.283599668400242, 0.04070774995751919, -0.03700862284148893, 0.06923057192203311, -0.10543639359755382, -0.14625329006343118, -0.02763125643494629, 0.057210596095049575, 0.0012687866230525317, 0.08925768620289502, 0.2301752324907049, -0.10118173296082644, -0.04339636592870398, 0.43454455821023835, -0.08717973516322672, -0.0993674044508577, 0.2179848605196082, -0.1642890369098994, -0.062354529564899785, 0.17860845561109243, 0.17606028335604576, 0.09009610581842642, -0.17378768406568035, 0.098219423360687, 0.015236439555883408, 0.19180492435717175, 0.11387800395248397, 0.02298180390329611, 0.21979394999122429, 0.16098475957950276, 0.05647840857986481, 0.0555120897385472, -0.12417010067992153, -0.0558392739764625, -0.2811320061254646, -0.16944149881601334, -0.14638172083444173, 0.061099708410761046, -0.009729102585415896, -0.10810162297059452, 0.2931073044276526, 0.11202907179512324, 0.20089638117820985, -0.06098968403774404, 0.3419875793759861, 0.10682823477808627, 0.07810618309304118, 0.026564937670745196, 0.28831755952428906, 0.17307389137004653, 0.12468783672177984, -0.22485658203987705, 0.03753301847666021, 0.025121538073665673] |
1,801.10121 | Image Captioning at Will: A Versatile Scheme for Effectively Injecting
Sentiments into Image Descriptions | Automatic image captioning has recently approached human-level performance
due to the latest advances in computer vision and natural language
understanding. However, most of the current models can only generate plain
factual descriptions about the content of a given image. However, for human
beings, image caption writing is quite flexible and diverse, where additional
language dimensions, such as emotion, humor and language styles, are often
incorporated to produce diverse, emotional, or appealing captions. In
particular, we are interested in generating sentiment-conveying image
descriptions, which has received little attention. The main challenge is how to
effectively inject sentiments into the generated captions without altering the
semantic matching between the visual content and the generated descriptions. In
this work, we propose two different models, which employ different schemes for
injecting sentiments into image captions. Compared with the few existing
approaches, the proposed models are much simpler and yet more effective. The
experimental results show that our model outperform the state-of-the-art models
in generating sentimental (i.e., sentiment-bearing) image captions. In
addition, we can also easily manipulate the model by assigning different
sentiments to the testing image to generate captions with the corresponding
sentiments.
| cs.CV | automatic image captioning has recently approached humanlevel performance due to the latest advances in computer vision and natural language understanding however most of the current models can only generate plain factual descriptions about the content of a given image however for human beings image caption writing is quite flexible and diverse where additional language dimensions such as emotion humor and language styles are often incorporated to produce diverse emotional or appealing captions in particular we are interested in generating sentimentconveying image descriptions which has received little attention the main challenge is how to effectively inject sentiments into the generated captions without altering the semantic matching between the visual content and the generated descriptions in this work we propose two different models which employ different schemes for injecting sentiments into image captions compared with the few existing approaches the proposed models are much simpler and yet more effective the experimental results show that our model outperform the stateoftheart models in generating sentimental ie sentimentbearing image captions in addition we can also easily manipulate the model by assigning different sentiments to the testing image to generate captions with the corresponding sentiments | [['automatic', 'image', 'captioning', 'has', 'recently', 'approached', 'humanlevel', 'performance', 'due', 'to', 'the', 'latest', 'advances', 'in', 'computer', 'vision', 'and', 'natural', 'language', 'understanding', 'however', 'most', 'of', 'the', 'current', 'models', 'can', 'only', 'generate', 'plain', 'factual', 'descriptions', 'about', 'the', 'content', 'of', 'a', 'given', 'image', 'however', 'for', 'human', 'beings', 'image', 'caption', 'writing', 'is', 'quite', 'flexible', 'and', 'diverse', 'where', 'additional', 'language', 'dimensions', 'such', 'as', 'emotion', 'humor', 'and', 'language', 'styles', 'are', 'often', 'incorporated', 'to', 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1,801.10122 | On chiral extrapolations of charmed meson masses and coupled-channel
reaction dynamics | We perform an analysis of QCD lattice data on charmed meson masses. The
quark-mass dependence of the data set is used to gain information on the size
of counter terms of the chiral Lagrangian formulated with open-charm states
with J^P= 0^- and J^P =1^- quantum numbers. Of particular interest are those
counter terms that are active in the exotic flavour sextet channel. A chiral
expansion scheme where physical masses enter the extrapolation formulae is
developed and applied to the lattice data set. Good convergence properties are
demonstrated and an accurate reproduction of the lattice data based on
ensembles of PACS-CS, MILC, ETMC and HSC with pion and kaon masses smaller than
600 MeV is achieved. It is argued that a unique set of low-energy parameters is
obtainable only if additional information from HSC on some scattering
observables is included in our global fits. The elastic and inelastic s-wave pi
D and eta D scattering as considered by HSC is reproduced faithfully. Based on
such low-energy parameters we predict 15 phase shifts and in-elasticities at
physical quark masses but also for an additional HSC ensemble at smaller pion
mass. In addition we find a clear signal for a member of the exotic flavour
sextet states in the eta D channel, below the bar K D_s threshold. For the
isospin violating strong decay width of the D_{s0}(2317) we obtain the range
(104-116) keV.
| hep-lat hep-ph nucl-th | we perform an analysis of qcd lattice data on charmed meson masses the quarkmass dependence of the data set is used to gain information on the size of counter terms of the chiral lagrangian formulated with opencharm states with jp 0 and jp 1 quantum numbers of particular interest are those counter terms that are active in the exotic flavour sextet channel a chiral expansion scheme where physical masses enter the extrapolation formulae is developed and applied to the lattice data set good convergence properties are demonstrated and an accurate reproduction of the lattice data based on ensembles of pacscs milc etmc and hsc with pion and kaon masses smaller than 600 mev is achieved it is argued that a unique set of lowenergy parameters is obtainable only if additional information from hsc on some scattering observables is included in our global fits the elastic and inelastic swave pi d and eta d scattering as considered by hsc is reproduced faithfully based on such lowenergy parameters we predict 15 phase shifts and inelasticities at physical quark masses but also for an additional hsc ensemble at smaller pion mass in addition we find a clear signal for a member of the exotic flavour sextet states in the eta d channel below the bar k d_s threshold for the isospin violating strong decay width of the d_s02317 we obtain the range 104116 kev | [['we', 'perform', 'an', 'analysis', 'of', 'qcd', 'lattice', 'data', 'on', 'charmed', 'meson', 'masses', 'the', 'quarkmass', 'dependence', 'of', 'the', 'data', 'set', 'is', 'used', 'to', 'gain', 'information', 'on', 'the', 'size', 'of', 'counter', 'terms', 'of', 'the', 'chiral', 'lagrangian', 'formulated', 'with', 'opencharm', 'states', 'with', 'jp', '0', 'and', 'jp', '1', 'quantum', 'numbers', 'of', 'particular', 'interest', 'are', 'those', 'counter', 'terms', 'that', 'are', 'active', 'in', 'the', 'exotic', 'flavour', 'sextet', 'channel', 'a', 'chiral', 'expansion', 'scheme', 'where', 'physical', 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1,801.10123 | Links: A High-Dimensional Online Clustering Method | We present a novel algorithm, called Links, designed to perform online
clustering on unit vectors in a high-dimensional Euclidean space. The algorithm
is appropriate when it is necessary to cluster data efficiently as it streams
in, and is to be contrasted with traditional batch clustering algorithms that
have access to all data at once. For example, Links has been successfully
applied to embedding vectors generated from face images or voice recordings for
the purpose of recognizing people, thereby providing real-time identification
during video or audio capture.
| stat.ML cs.LG | we present a novel algorithm called links designed to perform online clustering on unit vectors in a highdimensional euclidean space the algorithm is appropriate when it is necessary to cluster data efficiently as it streams in and is to be contrasted with traditional batch clustering algorithms that have access to all data at once for example links has been successfully applied to embedding vectors generated from face images or voice recordings for the purpose of recognizing people thereby providing realtime identification during video or audio capture | [['we', 'present', 'a', 'novel', 'algorithm', 'called', 'links', 'designed', 'to', 'perform', 'online', 'clustering', 'on', 'unit', 'vectors', 'in', 'a', 'highdimensional', 'euclidean', 'space', 'the', 'algorithm', 'is', 'appropriate', 'when', 'it', 'is', 'necessary', 'to', 'cluster', 'data', 'efficiently', 'as', 'it', 'streams', 'in', 'and', 'is', 'to', 'be', 'contrasted', 'with', 'traditional', 'batch', 'clustering', 'algorithms', 'that', 'have', 'access', 'to', 'all', 'data', 'at', 'once', 'for', 'example', 'links', 'has', 'been', 'successfully', 'applied', 'to', 'embedding', 'vectors', 'generated', 'from', 'face', 'images', 'or', 'voice', 'recordings', 'for', 'the', 'purpose', 'of', 'recognizing', 'people', 'thereby', 'providing', 'realtime', 'identification', 'during', 'video', 'or', 'audio', 'capture']] | [-0.06460792140028071, 0.02501222803284479, -0.09638875670904337, 0.08481298121055154, -0.13520702876172266, -0.1981962378865086, 0.01933881695122393, 0.4798303473480912, -0.27763754531178014, -0.31942987327767147, 0.14481057768395214, -0.28716599390582115, -0.15824662544764578, 0.20362650430328105, -0.10326149689336848, 0.09281021020873341, 0.10844048683336655, 0.1032060736893178, 0.015182120121777231, -0.30057785545237536, 0.2779273857514179, 0.05339027071631579, 0.3229626517764531, -0.050525184693681294, 0.13808040277826664, 0.05127718632764638, -0.060674533442875676, 0.013990430318043827, -0.040547830055804174, 0.11760669367301256, 0.35840825693205347, 0.2398112989166145, 0.28549146616484883, -0.42424234286557105, -0.20916843731606075, 0.12662020805129393, 0.17721981646189855, 0.11894768449412875, -0.0662086628185217, -0.32644452410208624, 0.16211658542391, -0.12140482182202991, -0.004063503150719889, -0.13374520429994824, 0.011141699231175577, -0.029785027919705352, -0.31465816494553933, 0.01947517318347859, 0.006754438934284587, 0.04870924800309504, -0.05351337036767671, -0.03382453364644979, 0.06364345345321264, 0.19780249223634222, 0.026958378727634458, 0.08186189714429337, 0.11375743463678761, -0.10903743704845913, -0.12824976918027672, 0.4112138064621493, 0.0023588158601765023, -0.23099343047672233, 0.20418915371302254, -0.030184937594999926, -0.15488388113742477, 0.1487960073837014, 0.25688350992277265, 0.05897553290543688, -0.1804610041579635, 0.013321491631782116, -0.04124560378231974, 0.15902482969469803, 0.06700442605760208, -0.005110799131893315, 0.16704827268759526, 0.19254220369932523, 0.0709946280985605, 0.15266731979330828, -0.12149793619755656, -0.02435358466992025, -0.15774356526171052, -0.12397104925692601, -0.21700167753002714, -0.039708442049951095, -0.08010678252643164, -0.1369607539544272, 0.366476186415787, 0.17967676790701875, 0.22390680142873248, 0.06097769020341857, 0.38107660586057707, 0.023399066806738374, 0.15521780193545098, 0.09614075078672274, 0.11738052538888485, 0.01537381476441095, 0.13660636006551252, -0.10648163297852545, 0.09066255813800232, 0.07257301816283616] |
1,801.10124 | The role of Coulomb branches in 2D gauge theory | I give a simple construction of certain Coulomb branches $C_{3,4}(G;E)$ of gauge theory in 3 and 4 dimensions defined by Nakajima et al. for a compact Lie group $G$ and a polarisable quaternionic representation $E$. The manifolds $C(G; 0)$ are abelian group schemes (over the bases of regular adjoint $G_c$-orbits, respectively conjugacy classes), and $C(G;E)$ is glued together from two copies of $C(G;0)$ shifted by a rational Lagrangian section $\varepsilon_V$, the Euler class of the index bundle of a polarisation $V$ of $E$. Extending the interpretation of $C_3(G;0)$ as "classifying space" for topological 2D gauge theories, I characterise functions on $C_3(G;E)$ as operators on the equivariant quantum cohomologies of $M\times V$, for all compact symplectic $G$-manifolds $M$. The non-commutative version has an analogous description in terms of the $\Gamma$-function of $V$, appearing to play the role of Fourier transformed J-function of the gauged linear Sigma-model $V/G$. | math.AG hep-th math.AT | i give a simple construction of certain coulomb branches c_34ge of gauge theory in 3 and 4 dimensions defined by nakajima et al for a compact lie group g and a polarisable quaternionic representation e the manifolds cg 0 are abelian group schemes over the bases of regular adjoint g_corbits respectively conjugacy classes and cge is glued together from two copies of cg0 shifted by a rational lagrangian section varepsilon_v the euler class of the index bundle of a polarisation v of e extending the interpretation of c_3g0 as classifying space for topological 2d gauge theories i characterise functions on c_3ge as operators on the equivariant quantum cohomologies of mtimes v for all compact symplectic gmanifolds m the noncommutative version has an analogous description in terms of the gammafunction of v appearing to play the role of fourier transformed jfunction of the gauged linear sigmamodel vg | [['i', 'give', 'a', 'simple', 'construction', 'of', 'certain', 'coulomb', 'branches', 'c_34ge', 'of', 'gauge', 'theory', 'in', '3', 'and', '4', 'dimensions', 'defined', 'by', 'nakajima', 'et', 'al', 'for', 'a', 'compact', 'lie', 'group', 'g', 'and', 'a', 'polarisable', 'quaternionic', 'representation', 'e', 'the', 'manifolds', 'cg', '0', 'are', 'abelian', 'group', 'schemes', 'over', 'the', 'bases', 'of', 'regular', 'adjoint', 'g_corbits', 'respectively', 'conjugacy', 'classes', 'and', 'cge', 'is', 'glued', 'together', 'from', 'two', 'copies', 'of', 'cg0', 'shifted', 'by', 'a', 'rational', 'lagrangian', 'section', 'varepsilon_v', 'the', 'euler', 'class', 'of', 'the', 'index', 'bundle', 'of', 'a', 'polarisation', 'v', 'of', 'e', 'extending', 'the', 'interpretation', 'of', 'c_3g0', 'as', 'classifying', 'space', 'for', 'topological', '2d', 'gauge', 'theories', 'i', 'characterise', 'functions', 'on', 'c_3ge', 'as', 'operators', 'on', 'the', 'equivariant', 'quantum', 'cohomologies', 'of', 'mtimes', 'v', 'for', 'all', 'compact', 'symplectic', 'gmanifolds', 'm', 'the', 'noncommutative', 'version', 'has', 'an', 'analogous', 'description', 'in', 'terms', 'of', 'the', 'gammafunction', 'of', 'v', 'appearing', 'to', 'play', 'the', 'role', 'of', 'fourier', 'transformed', 'jfunction', 'of', 'the', 'gauged', 'linear', 'sigmamodel', 'vg']] | [-0.18582504701714778, 0.10476624718897946, -0.05931050003777053, 0.030871563093201753, -0.08297219884198767, -0.15503955663822538, -0.028029075756847384, 0.3160523350304323, -0.2581575342771062, -0.2331452647237279, 0.04533018777807448, -0.2486041999927306, -0.14498592468625898, 0.17422267086539708, -0.10508288500553116, -0.015572034648177049, 0.01152279659616926, 0.07683587837997322, -0.12485585509178539, -0.26839041703604394, 0.38954396238418443, -0.0596296083807932, 0.20596409287775952, -0.017529523447618312, 0.1330955712956951, 0.03682338444727427, -0.047451240271461984, -0.0030927630605800276, -0.12113185462389961, 0.1375511229593069, 0.2863610716642323, 0.03919376315613416, 0.16367352416438335, -0.359961877002361, -0.17073515895238073, 0.1559738103376292, 0.12163075265401961, -0.016758565308777153, 0.0048388184794614505, -0.3038518297492612, 0.06781972502853642, -0.17409354627317358, -0.15608890860090494, -0.06381210531537415, 0.11847692156369065, -0.0015554799143462738, -0.22772851210675393, 0.00114947552000113, 0.0950112951893016, 0.10249333008826572, -0.05252635079693604, -0.14098227061397323, -0.10243149993095732, 0.06150740577594925, -0.04908482921359308, 0.08301108731914655, 0.08214955099904579, -0.11666574219492733, -0.1607978271571457, 0.3896997543051839, -0.07626755777886798, -0.23388729938008684, 0.10729734386244776, -0.12325616517427859, -0.16513585897512628, 0.1265232568451514, 0.09919698092531651, 0.16363595097642789, -0.016855337280542292, 0.2638662532818213, -0.10637130260307355, 0.03610996284905214, 0.11267693701748413, 0.024510720512311217, 0.14406780201730365, 0.07094763356299348, 0.06702284580294757, 0.08595376291992605, 0.02179627104147159, -0.03735024590542249, -0.4037080674584136, -0.21446004090025683, -0.11577985213048994, 0.16646051053671954, -0.12318410029511401, -0.17783207086027197, 0.4116241549538425, 0.01474574078138627, 0.19195803454482652, 0.08493331896516013, 0.16275446234495505, 0.09850217060001025, 0.046057198857162016, 0.03463234755388917, 0.12439660694291617, 0.2643612071422609, -0.01755281007297152, -0.1622203334799393, -0.11514380725318606, 0.26213873945942795] |
1,801.10125 | Asymptotic zero distribution of random orthogonal polynomials | We consider random polynomials of the form $H_n(z)=\sum_{j=0}^n\xi_jq_j(z)$
where the $\{\xi_j\}$ are i.i.d non-degenerate complex random variables, and
the $\{q_j(z)\}$ are orthonormal polynomials with respect to a compactly
supported measure $\tau$ satisfying the Bernstein-Markov property on a regular
compact set $K \subset \mathbb{C}$. We show that if
$\mathbb{P}(|\xi_0|>e^{|z|})=o(|z|^{-1})$, then the normalized counting measure
of the zeros of $H_n$ converges weakly in probability to the equilibrium
measure of $K.$ This is the best possible result, in the sense that the roots
of $G_n(z)=\sum_{j=0}^n\xi_jz^j$ fail to converge in probability to the
appropriate equilibrium measure when the above condition on the $\xi_j$ is not
satisfied. In addition, we give a multivariable version of this result.
We also consider random polynomials of the form
$\sum_{k=0}^n\xi_kf_{n,k}z^k$, where the coefficients $f_{n,k}$ are complex
constants satisfying certain conditions, and the random variables $\{\xi_k\}$
satisfy $\mathbb{E} \log(1 + |\xi_0|) < \infty$. In this case, we establish
almost sure convergence of the normalized counting measure of the zeros to an
appropriate limiting measure. Again, this is the best possible result in the
same sense as above.
| math.PR math.CV | we consider random polynomials of the form h_nzsum_j0nxi_jq_jz where the xi_j are iid nondegenerate complex random variables and the q_jz are orthonormal polynomials with respect to a compactly supported measure tau satisfying the bernsteinmarkov property on a regular compact set k subset mathbbc we show that if mathbbpxi_0ezoz1 then the normalized counting measure of the zeros of h_n converges weakly in probability to the equilibrium measure of k this is the best possible result in the sense that the roots of g_nzsum_j0nxi_jzj fail to converge in probability to the appropriate equilibrium measure when the above condition on the xi_j is not satisfied in addition we give a multivariable version of this result we also consider random polynomials of the form sum_k0nxi_kf_nkzk where the coefficients f_nk are complex constants satisfying certain conditions and the random variables xi_k satisfy mathbbe log1 xi_0 infty in this case we establish almost sure convergence of the normalized counting measure of the zeros to an appropriate limiting measure again this is the best possible result in the same sense as above | [['we', 'consider', 'random', 'polynomials', 'of', 'the', 'form', 'h_nzsum_j0nxi_jq_jz', 'where', 'the', 'xi_j', 'are', 'iid', 'nondegenerate', 'complex', 'random', 'variables', 'and', 'the', 'q_jz', 'are', 'orthonormal', 'polynomials', 'with', 'respect', 'to', 'a', 'compactly', 'supported', 'measure', 'tau', 'satisfying', 'the', 'bernsteinmarkov', 'property', 'on', 'a', 'regular', 'compact', 'set', 'k', 'subset', 'mathbbc', 'we', 'show', 'that', 'if', 'mathbbpxi_0ezoz1', 'then', 'the', 'normalized', 'counting', 'measure', 'of', 'the', 'zeros', 'of', 'h_n', 'converges', 'weakly', 'in', 'probability', 'to', 'the', 'equilibrium', 'measure', 'of', 'k', 'this', 'is', 'the', 'best', 'possible', 'result', 'in', 'the', 'sense', 'that', 'the', 'roots', 'of', 'g_nzsum_j0nxi_jzj', 'fail', 'to', 'converge', 'in', 'probability', 'to', 'the', 'appropriate', 'equilibrium', 'measure', 'when', 'the', 'above', 'condition', 'on', 'the', 'xi_j', 'is', 'not', 'satisfied', 'in', 'addition', 'we', 'give', 'a', 'multivariable', 'version', 'of', 'this', 'result', 'we', 'also', 'consider', 'random', 'polynomials', 'of', 'the', 'form', 'sum_k0nxi_kf_nkzk', 'where', 'the', 'coefficients', 'f_nk', 'are', 'complex', 'constants', 'satisfying', 'certain', 'conditions', 'and', 'the', 'random', 'variables', 'xi_k', 'satisfy', 'mathbbe', 'log1', 'xi_0', 'infty', 'in', 'this', 'case', 'we', 'establish', 'almost', 'sure', 'convergence', 'of', 'the', 'normalized', 'counting', 'measure', 'of', 'the', 'zeros', 'to', 'an', 'appropriate', 'limiting', 'measure', 'again', 'this', 'is', 'the', 'best', 'possible', 'result', 'in', 'the', 'same', 'sense', 'as', 'above']] | [-0.15485357413725817, 0.12052089987701038, -0.06971462724648197, 0.06365563445929985, -0.043379068428047875, -0.11938048062353011, 0.06105414355338058, 0.3485434293144328, -0.28687875037465027, -0.15734479686909575, 0.09444946836378863, -0.29088102441061947, -0.13402079825001934, 0.1385915578342974, -0.08639672406784751, 0.0700084322159562, 0.023892531275530073, 0.1379891625715091, -0.05536503507824177, -0.2867854171679081, 0.3426078290459426, -0.0143605244345963, 0.22861619120573295, 0.008879764095934875, 0.09626621089546997, -0.005726340508965008, 0.0028210807975162476, -0.035605840220609135, -0.1855034382771598, 0.05721408367595252, 0.22241155724862918, 0.12376056076301371, 0.2690990086754455, -0.33481073490453556, -0.0888374844483812, 0.2338696327580906, 0.12744948387091212, -0.032010663684238404, 0.04363550583845662, -0.25359326662249204, 0.1513019855818985, -0.07710645947167102, -0.20723028703428367, -0.07669839918175164, 0.02265763906762004, 0.10925377670620733, -0.3666563802371349, 0.05265735552409965, 0.12589970722191912, 0.03331941341269104, -0.03663195161943269, -0.12576423011281912, 0.01778584101839977, 0.0895019166310222, 0.037662801935392266, 0.06929981780293233, 0.0715603674241506, -0.0657614133978153, -0.04449602670844316, 0.36183666452929814, -0.09600520117810982, -0.28637007574331674, 0.118688390091719, -0.2268277590491754, -0.17524670585716035, 0.08428340288125635, 0.10632146488436882, 0.14467845349024763, -0.10936919331237303, 0.1516340855830897, -0.13598441329291638, 0.11086859753464952, 0.12585465432528187, 0.04637028757099281, 0.1134299875017913, 0.03845025894012959, 0.14168435676461633, 0.14295389473931316, -0.0006331829052856739, -0.09969049175338382, -0.3465298048549277, -0.16774461084894618, -0.22786355653558585, 0.12981354988270835, -0.14319656102298348, -0.2034879041287829, 0.33462817298303194, 0.1346685964080012, 0.24803778916898678, 0.14991773456225502, 0.21168807755388758, 0.18562333367170888, -0.017584755985230644, 0.0790252586334699, 0.13435886458438986, 0.17782202705960062, 0.024179823984227636, -0.13730636006769012, 0.07367751922403627, 0.09839060813845957] |
1,801.10126 | On Special Limit of Non-Supersymmetric Effective Actions of type II
String theory | In this paper we first address four point functions of string amplitudes in
both type IIA and IIB string theories. Making use of non-BPS scattering
amplitudes, we explore not only several Bianchi identities that hold in both
transverse and world volume directions of brane, but also reveal various new
couplings. These couplings can just be found by taking into account the mixed
pull-back and Taylor couplings where their all order alpha-prime higher
derivative corrections have been derived as well.
For the first time, we also explore the complete form of a six point non-BPS
amplitude, involving three open string tachyons, a scalar field and a
Ramond-Ramond closed string in both IIA, IIB. In a special limit of the
amplitude and using the proper expansion we obtain an infinite number of bulk
singularities that are being constructed in the effective field theory. Finally
using new couplings we construct all the other massless and tachyon
singularities in type IIA, IIB string theories. All higher derivative
corrections to these new couplings to all orders in $\alpha'$ and new
restricted Bianchi identities have also been gained.
| hep-th gr-qc | in this paper we first address four point functions of string amplitudes in both type iia and iib string theories making use of nonbps scattering amplitudes we explore not only several bianchi identities that hold in both transverse and world volume directions of brane but also reveal various new couplings these couplings can just be found by taking into account the mixed pullback and taylor couplings where their all order alphaprime higher derivative corrections have been derived as well for the first time we also explore the complete form of a six point nonbps amplitude involving three open string tachyons a scalar field and a ramondramond closed string in both iia iib in a special limit of the amplitude and using the proper expansion we obtain an infinite number of bulk singularities that are being constructed in the effective field theory finally using new couplings we construct all the other massless and tachyon singularities in type iia iib string theories all higher derivative corrections to these new couplings to all orders in alpha and new restricted bianchi identities have also been gained | [['in', 'this', 'paper', 'we', 'first', 'address', 'four', 'point', 'functions', 'of', 'string', 'amplitudes', 'in', 'both', 'type', 'iia', 'and', 'iib', 'string', 'theories', 'making', 'use', 'of', 'nonbps', 'scattering', 'amplitudes', 'we', 'explore', 'not', 'only', 'several', 'bianchi', 'identities', 'that', 'hold', 'in', 'both', 'transverse', 'and', 'world', 'volume', 'directions', 'of', 'brane', 'but', 'also', 'reveal', 'various', 'new', 'couplings', 'these', 'couplings', 'can', 'just', 'be', 'found', 'by', 'taking', 'into', 'account', 'the', 'mixed', 'pullback', 'and', 'taylor', 'couplings', 'where', 'their', 'all', 'order', 'alphaprime', 'higher', 'derivative', 'corrections', 'have', 'been', 'derived', 'as', 'well', 'for', 'the', 'first', 'time', 'we', 'also', 'explore', 'the', 'complete', 'form', 'of', 'a', 'six', 'point', 'nonbps', 'amplitude', 'involving', 'three', 'open', 'string', 'tachyons', 'a', 'scalar', 'field', 'and', 'a', 'ramondramond', 'closed', 'string', 'in', 'both', 'iia', 'iib', 'in', 'a', 'special', 'limit', 'of', 'the', 'amplitude', 'and', 'using', 'the', 'proper', 'expansion', 'we', 'obtain', 'an', 'infinite', 'number', 'of', 'bulk', 'singularities', 'that', 'are', 'being', 'constructed', 'in', 'the', 'effective', 'field', 'theory', 'finally', 'using', 'new', 'couplings', 'we', 'construct', 'all', 'the', 'other', 'massless', 'and', 'tachyon', 'singularities', 'in', 'type', 'iia', 'iib', 'string', 'theories', 'all', 'higher', 'derivative', 'corrections', 'to', 'these', 'new', 'couplings', 'to', 'all', 'orders', 'in', 'alpha', 'and', 'new', 'restricted', 'bianchi', 'identities', 'have', 'also', 'been', 'gained']] | [-0.1653568292162023, 0.14610894772316557, -0.048451226929990716, 0.1502053128103828, -0.1256508871805496, -0.1620510247648581, 0.015620208342795025, 0.3154086798153163, -0.18316677863105804, -0.2427467387220771, 0.10044802548837142, -0.2639002508783181, -0.15711791635168573, 0.15689408593391488, -0.016832691564219543, -0.0047754940524400505, -0.02690862971716202, 0.05831150527772299, -0.10006152700817028, -0.32297701641205145, 0.35510028584266673, -0.06215898308053531, 0.26100561453111387, 0.048499684959936604, 0.08022934062518998, -0.02856935641810216, -0.033402613671189484, 0.05099252666663993, -0.12408016277917701, 0.10268522509639817, 0.2054687103967868, 0.06731596776120528, 0.1253136974697994, -0.47688505143582166, -0.22071019216225699, 0.11451665180540838, 0.22190003983732723, 0.17152797231440442, -0.005775248949098718, -0.25735970521038704, 0.06813156069640153, -0.19991803395428828, -0.15549341009950246, -0.12752839931859994, 0.031558552343695125, -0.016619439152386655, -0.22235052474098957, 0.05233645602001471, -0.02932311992025371, 0.021786077146336517, -0.06738120738729057, -0.11618216692759134, -0.03748740867013112, 0.1111997029754323, 0.12532056013511106, 0.032583144231146756, 0.04866672667372808, -0.18377160161073514, -0.15538330036432962, 0.3560569000937004, -0.09412945326447109, -0.2117840282895326, 0.11780925135027136, -0.15732862837459113, -0.19796128203365748, 0.11247644195330164, 0.09889782856187813, 0.16181697488179084, -0.19550049518347606, 0.2049662811546663, 0.04552331519221048, 0.09436358242957076, 0.15290790003888144, 0.09005651474229295, 0.23286643465322054, 0.05969335248816635, -0.00961556215258827, 0.11429328183262291, -0.05349465054050497, -0.1132624996314337, -0.4174672928280555, -0.12553803286013696, -0.058278275021751015, 0.11135767949983327, -0.17118540398495408, -0.20433710670037256, 0.35054518029498, 0.10774755484813435, 0.16473323583428923, 0.05700151790138129, 0.1775580063938153, 0.10015195988279839, 0.0831021863064002, 0.06570114095818129, 0.26864507878301563, 0.1363970273043858, 0.09558427416218016, -0.19480856338414815, -0.11215512506832666, 0.1479337624949659] |
1,801.10127 | One-dimensional reduction of viscous jets. II. Applications | In a companion paper [Pitrou, Phys. Rev. E 97, 043115 (2018)], a formalism
allowing to describe viscous fibers as one-dimensional objects was developed.
We apply it to the special case of a viscous fluid torus. This allows to
highlight the differences with the basic viscous string model and with its
viscous rod model extension. In particular, an elliptic deformation of the
torus section appears because of surface tension effects, and this cannot be
described by viscous string nor viscous rod models. Furthermore, we study the
Rayleigh-Plateau instability for periodic deformations around the perfect
torus, and we show that the instability is not sufficient to lead to the torus
breakup in several droplets before it collapses to a single spherical drop.
Conversely, a rotating torus is dynamically attracted toward a stationary
solution, around which the instability can develop freely and split the torus
in multiple droplets.
| physics.flu-dyn | in a companion paper pitrou phys rev e 97 043115 2018 a formalism allowing to describe viscous fibers as onedimensional objects was developed we apply it to the special case of a viscous fluid torus this allows to highlight the differences with the basic viscous string model and with its viscous rod model extension in particular an elliptic deformation of the torus section appears because of surface tension effects and this cannot be described by viscous string nor viscous rod models furthermore we study the rayleighplateau instability for periodic deformations around the perfect torus and we show that the instability is not sufficient to lead to the torus breakup in several droplets before it collapses to a single spherical drop conversely a rotating torus is dynamically attracted toward a stationary solution around which the instability can develop freely and split the torus in multiple droplets | [['in', 'a', 'companion', 'paper', 'pitrou', 'phys', 'rev', 'e', '97', '043115', '2018', 'a', 'formalism', 'allowing', 'to', 'describe', 'viscous', 'fibers', 'as', 'onedimensional', 'objects', 'was', 'developed', 'we', 'apply', 'it', 'to', 'the', 'special', 'case', 'of', 'a', 'viscous', 'fluid', 'torus', 'this', 'allows', 'to', 'highlight', 'the', 'differences', 'with', 'the', 'basic', 'viscous', 'string', 'model', 'and', 'with', 'its', 'viscous', 'rod', 'model', 'extension', 'in', 'particular', 'an', 'elliptic', 'deformation', 'of', 'the', 'torus', 'section', 'appears', 'because', 'of', 'surface', 'tension', 'effects', 'and', 'this', 'can', 'not', 'be', 'described', 'by', 'viscous', 'string', 'nor', 'viscous', 'rod', 'models', 'furthermore', 'we', 'study', 'the', 'rayleighplateau', 'instability', 'for', 'periodic', 'deformations', 'around', 'the', 'perfect', 'torus', 'and', 'we', 'show', 'that', 'the', 'instability', 'is', 'not', 'sufficient', 'to', 'lead', 'to', 'the', 'torus', 'breakup', 'in', 'several', 'droplets', 'before', 'it', 'collapses', 'to', 'a', 'single', 'spherical', 'drop', 'conversely', 'a', 'rotating', 'torus', 'is', 'dynamically', 'attracted', 'toward', 'a', 'stationary', 'solution', 'around', 'which', 'the', 'instability', 'can', 'develop', 'freely', 'and', 'split', 'the', 'torus', 'in', 'multiple', 'droplets']] | [-0.14210082629438617, 0.12958741163893137, -0.1194772936660668, 0.017468116279608162, -0.10389966555582038, -0.1441521200287188, -0.022453462143814, 0.3260961863244402, -0.24867875084024052, -0.24829013246785978, 0.08660918815575283, -0.2293485678187451, -0.12747673159946912, 0.15767782505376843, -0.11146145145256264, 0.03647099736523975, 0.03646658798358564, -0.02004516864805643, -0.038257562673393766, -0.21226933798271005, 0.2933009820637004, 0.07099136270839593, 0.2233200940961853, 0.05416636376416889, 0.06440606980327646, -0.015059092216964425, 0.014681239088130151, 0.04773081269372126, -0.22008808532208887, 0.031249634362757205, 0.20632537069104728, -0.010416131222556376, 0.21069925918789773, -0.4625586632703399, -0.2582553066168751, 0.09029807767284842, 0.14627050836409988, 0.15378070457272455, 0.007337708104851431, -0.2246502254118115, 0.06471729506096192, -0.2387267934102244, -0.19580367610123459, -0.0433991995283828, 0.1022136427911705, -0.003799414963878948, -0.22018275025204337, 0.0876660950674579, 0.13672972899733177, 0.0006668372272417463, -0.07642071948924647, 0.013497535399450311, -0.05948393856143129, 0.03598027911743727, 0.07461217788112318, 0.0710914648892679, 0.17086628578795954, -0.11357561097769388, -0.046678247977176617, 0.41796402085957857, -0.07027269100192292, -0.24469529153329544, 0.22050612376167855, -0.14256404642144155, -0.06288298921466902, 0.18187081992128415, 0.17927059315161073, 0.13711523341721502, -0.10732301375346964, 0.052953674636253334, -0.08800877875242992, 0.15741841519986086, 0.11063824664512328, -0.09204127534517441, 0.26601227285533113, 0.17315305787588245, -0.00906675881866751, 0.18388556184423765, -0.10518425560520223, -0.11554700396955013, -0.32695795299589697, -0.14768138482089352, -0.10120723502357201, 0.07491508805020392, -0.03386500194981887, -0.18841916082491134, 0.34401743826938086, 0.07518591591124904, 0.22751992373438232, 0.007339488438045574, 0.2345873764009568, 0.06718810283265815, 0.040140616270745624, 0.12933218354551956, 0.2708947220126745, 0.14905291036381546, 0.09360094602733593, -0.21937301454359087, -0.028852619509943278, 0.1005751438760038] |
1,801.10128 | Information Measures for Microphone Arrays | We propose a novel information-theoretic approach for evaluating microphone
arrays that relies on the array physics and geometry rather than the underlying
beamforming algorithm. The analogy between Multiple-Input-Multiple-Output
(MIMO) wireless communication channel and the acoustic channel of microphone
arrays is exploited to define information measures of microphone arrays, which
provide upper bounds of the information rate of the microphone array system.
| cs.IT eess.AS math.IT | we propose a novel informationtheoretic approach for evaluating microphone arrays that relies on the array physics and geometry rather than the underlying beamforming algorithm the analogy between multipleinputmultipleoutput mimo wireless communication channel and the acoustic channel of microphone arrays is exploited to define information measures of microphone arrays which provide upper bounds of the information rate of the microphone array system | [['we', 'propose', 'a', 'novel', 'informationtheoretic', 'approach', 'for', 'evaluating', 'microphone', 'arrays', 'that', 'relies', 'on', 'the', 'array', 'physics', 'and', 'geometry', 'rather', 'than', 'the', 'underlying', 'beamforming', 'algorithm', 'the', 'analogy', 'between', 'multipleinputmultipleoutput', 'mimo', 'wireless', 'communication', 'channel', 'and', 'the', 'acoustic', 'channel', 'of', 'microphone', 'arrays', 'is', 'exploited', 'to', 'define', 'information', 'measures', 'of', 'microphone', 'arrays', 'which', 'provide', 'upper', 'bounds', 'of', 'the', 'information', 'rate', 'of', 'the', 'microphone', 'array', 'system']] | [-0.2973879576340073, 0.030557130753505427, -0.02990231008772723, 0.008283691574269753, -0.11574467168510204, -0.26253547576698855, 0.07213383291649525, 0.3692578319002126, -0.22785990801258166, -0.29507848684538585, 0.14934573546204655, -0.2639981858798715, -0.23787453468339365, 0.22318693412254093, -0.06420262457925033, 0.06482780038581429, 0.061377519253091734, 0.03681315705380555, -0.042642285677100544, -0.12748098519981885, 0.26153061761841423, 0.1278447919204587, 0.41994833738588894, -0.0018110018467805424, 0.16917347176702785, 0.05001293254451307, -0.05698289993967189, -0.10050166188930085, -0.11204980575294925, 0.18461724921877756, 0.3362334444813552, 0.2127365886813915, 0.18284374696859082, -0.4593122566393653, -0.2184186583293266, 0.07616131268365339, 0.1427530919613897, 0.09798603623029088, -0.029409794172188114, -0.38124089636152886, 0.06989939964269518, -0.18388111135143725, 0.004547647811228134, 0.07196657245856572, -0.09445362957957827, 0.03681400134304508, -0.30848354168358394, 0.016425454958540496, 0.05885768745888452, 0.05296642801554523, 0.00994554553257271, -0.11656982692714292, 0.15702310256415702, 0.13685502480623907, -0.05090589213307153, -0.033028299229402765, 0.14366829573924914, -0.0815267060562724, -0.11709330024838936, 0.3204616779560742, -0.03487741996149617, -0.3015517024781372, 0.15032057195604154, -0.11116974461884772, 0.005773959162293888, 0.11179659518672795, 0.3383487897207502, 0.04668898141530693, -0.2333304834414701, 0.035648359686182046, -0.029997564371308832, 0.24217658369519487, 0.11198332661488017, 0.20016296779675807, 0.21324769120480194, 0.25378463612716706, 0.16857843201790676, 0.20181887086908348, -0.20150666437340808, -0.03779021693301982, -0.19597526712220956, -0.12038340011886398, -0.3049623749274226, 0.002285133047243122, -0.14591483311435652, -0.13535800911906007, 0.3230387304649978, 0.1943682690807542, 0.06465100642049411, 0.12222481248938463, 0.4102230329242092, 0.03644267956298761, 0.05932843460716673, 0.06645788694350202, 0.2051934613235539, 0.19496042609642275, 0.12047151751724668, -0.16464955224197542, 0.021682294574184496, 0.03271903378553078] |
1,801.10129 | Motivic Hodge modules | We construct a quasi-categorically enhanced Grothendieck six-functor
formalism on schemes of finite type over the complex numbers. In addition to
satisfying many of the same properties as M. Saito's derived categories of
mixed Hodge modules, this new six-functor formalism receives canonical motivic
realization functors compatible with Grothendieck's six functors on
constructible objects.
| math.AG | we construct a quasicategorically enhanced grothendieck sixfunctor formalism on schemes of finite type over the complex numbers in addition to satisfying many of the same properties as m saitos derived categories of mixed hodge modules this new sixfunctor formalism receives canonical motivic realization functors compatible with grothendiecks six functors on constructible objects | [['we', 'construct', 'a', 'quasicategorically', 'enhanced', 'grothendieck', 'sixfunctor', 'formalism', 'on', 'schemes', 'of', 'finite', 'type', 'over', 'the', 'complex', 'numbers', 'in', 'addition', 'to', 'satisfying', 'many', 'of', 'the', 'same', 'properties', 'as', 'm', 'saitos', 'derived', 'categories', 'of', 'mixed', 'hodge', 'modules', 'this', 'new', 'sixfunctor', 'formalism', 'receives', 'canonical', 'motivic', 'realization', 'functors', 'compatible', 'with', 'grothendiecks', 'six', 'functors', 'on', 'constructible', 'objects']] | [-0.18812672639911882, 0.017127403324203833, -0.11895587076718102, 0.12901513653626778, -0.10072857432295473, -0.14267758096625305, -0.02382173409153308, 0.31439778649685335, -0.38031903513688214, -0.2129601648419487, 0.009776519932213942, -0.11880637370810217, -0.1419424747059844, 0.23339370228065065, -0.24162730945236222, -0.08618584491920714, 0.04403085626984889, 0.08486345366631844, -0.1117072071908612, -0.29524072970510745, 0.4755764374015283, -0.04841882492206535, 0.2566236777573216, -0.03539781468179153, 0.14023328998259135, 0.025429736594764555, -0.06812067939044565, -0.02218110952526331, -0.12052360460238189, 0.1737279301860883, 0.3483884969384086, 0.05451418332071328, 0.14072289287435766, -0.3970225271673835, -0.08568067620603406, 0.16658602520937518, 0.0674490342296812, 0.03896224549116225, 0.011954271410382827, -0.27521831346485687, 0.1235099724652507, -0.24135706600333964, -0.12796994777662413, -0.08888501440155872, 0.06087705595608877, 0.023057924612064143, -0.21863120746779807, -0.07690902783687474, -0.01915105291623242, 0.13663629524181692, -0.1325720152342502, -0.14102074946752008, -0.1020597788334197, 0.046393587434550326, -0.07606463542930325, -0.03056782018393278, 0.1343161151934491, -0.11268829698294248, -0.1677231299785935, 0.3659915083221027, -0.11298774538219583, -0.16587536044570864, 0.15712450786341667, -0.10142925604037484, -0.227461372530658, 0.1402156625788811, -0.007152880560986849, 0.22940474125195523, 0.004888683557510376, 0.18929611095132268, -0.16366602879549777, 0.05315846965021016, 0.17141936116908885, 0.12409661764431061, 0.1347318507768974, 0.09109781982795316, -0.02679508152935768, 0.11661361752800187, 0.029481107188502744, -0.11397769583427177, -0.3914275324466277, -0.1988366569324969, -0.06312477364138301, 0.15079249513848703, -0.09997317347941655, -0.20501444324356866, 0.3928628775424191, 0.08183727192939544, 0.1583829471955494, 0.18318785683308936, 0.26965030982178084, 0.0227144605513396, 0.1255717748296162, -0.07340148271878763, 0.08876180140377611, 0.32134741628352476, 0.032136933162941465, -0.07043382065484718, -0.051219824143229245, 0.24146648841358873] |
1,801.1013 | Spherical CNNs | Convolutional Neural Networks (CNNs) have become the method of choice for
learning problems involving 2D planar images. However, a number of problems of
recent interest have created a demand for models that can analyze spherical
images. Examples include omnidirectional vision for drones, robots, and
autonomous cars, molecular regression problems, and global weather and climate
modelling. A naive application of convolutional networks to a planar projection
of the spherical signal is destined to fail, because the space-varying
distortions introduced by such a projection will make translational weight
sharing ineffective.
In this paper we introduce the building blocks for constructing spherical
CNNs. We propose a definition for the spherical cross-correlation that is both
expressive and rotation-equivariant. The spherical correlation satisfies a
generalized Fourier theorem, which allows us to compute it efficiently using a
generalized (non-commutative) Fast Fourier Transform (FFT) algorithm. We
demonstrate the computational efficiency, numerical accuracy, and effectiveness
of spherical CNNs applied to 3D model recognition and atomization energy
regression.
| cs.LG stat.ML | convolutional neural networks cnns have become the method of choice for learning problems involving 2d planar images however a number of problems of recent interest have created a demand for models that can analyze spherical images examples include omnidirectional vision for drones robots and autonomous cars molecular regression problems and global weather and climate modelling a naive application of convolutional networks to a planar projection of the spherical signal is destined to fail because the spacevarying distortions introduced by such a projection will make translational weight sharing ineffective in this paper we introduce the building blocks for constructing spherical cnns we propose a definition for the spherical crosscorrelation that is both expressive and rotationequivariant the spherical correlation satisfies a generalized fourier theorem which allows us to compute it efficiently using a generalized noncommutative fast fourier transform fft algorithm we demonstrate the computational efficiency numerical accuracy and effectiveness of spherical cnns applied to 3d model recognition and atomization energy regression | [['convolutional', 'neural', 'networks', 'cnns', 'have', 'become', 'the', 'method', 'of', 'choice', 'for', 'learning', 'problems', 'involving', '2d', 'planar', 'images', 'however', 'a', 'number', 'of', 'problems', 'of', 'recent', 'interest', 'have', 'created', 'a', 'demand', 'for', 'models', 'that', 'can', 'analyze', 'spherical', 'images', 'examples', 'include', 'omnidirectional', 'vision', 'for', 'drones', 'robots', 'and', 'autonomous', 'cars', 'molecular', 'regression', 'problems', 'and', 'global', 'weather', 'and', 'climate', 'modelling', 'a', 'naive', 'application', 'of', 'convolutional', 'networks', 'to', 'a', 'planar', 'projection', 'of', 'the', 'spherical', 'signal', 'is', 'destined', 'to', 'fail', 'because', 'the', 'spacevarying', 'distortions', 'introduced', 'by', 'such', 'a', 'projection', 'will', 'make', 'translational', 'weight', 'sharing', 'ineffective', 'in', 'this', 'paper', 'we', 'introduce', 'the', 'building', 'blocks', 'for', 'constructing', 'spherical', 'cnns', 'we', 'propose', 'a', 'definition', 'for', 'the', 'spherical', 'crosscorrelation', 'that', 'is', 'both', 'expressive', 'and', 'rotationequivariant', 'the', 'spherical', 'correlation', 'satisfies', 'a', 'generalized', 'fourier', 'theorem', 'which', 'allows', 'us', 'to', 'compute', 'it', 'efficiently', 'using', 'a', 'generalized', 'noncommutative', 'fast', 'fourier', 'transform', 'fft', 'algorithm', 'we', 'demonstrate', 'the', 'computational', 'efficiency', 'numerical', 'accuracy', 'and', 'effectiveness', 'of', 'spherical', 'cnns', 'applied', 'to', '3d', 'model', 'recognition', 'and', 'atomization', 'energy', 'regression']] | [-0.06801953436162486, 0.02131806639661579, -0.08092253709083083, 0.08619705037984107, -0.10599862288906232, -0.1667154500870116, -0.04096587858259467, 0.43365313440016556, -0.2736722145042142, -0.2820644162612844, 0.09895186844236457, -0.22561212263735225, -0.22890258043324985, 0.21054296580043697, -0.122760229845789, 0.14489878880434065, 0.11027270659537834, -0.014697893446533935, -0.08873473147132416, -0.23524789887175854, 0.26412404677684204, 0.04882814904964828, 0.3238641072398509, 0.0037589414343940763, 0.13877201830871613, 0.010890692927136595, -0.03863327236371642, 0.004637059694120906, -0.0704775841511477, 0.19590487679519322, 0.3027371483083286, 0.16164436266880552, 0.3130490403833254, -0.46027636133228084, -0.25394314499030113, 0.1431818208247189, 0.15071844618837787, 0.08905266852296725, -0.057578224349040655, -0.27680123255312816, 0.0631293096263313, -0.19185560263997917, -0.09123734824517567, -0.1660609682319018, -0.005857998992861161, 0.019881677974173624, -0.3022546055755994, 0.04790159923744933, 0.07938492277771844, 0.06145160269788789, -0.03427140140040549, -0.07344823882991225, 0.02718963001784429, 0.12179654305244345, -0.022332509461960186, 0.011328898280208825, 0.13768926050818567, -0.1483995628487553, -0.10445429594658678, 0.3965671360756288, 0.013484420581375185, -0.2578269616530845, 0.18718381852362562, -0.038448212747374234, -0.1547468326716397, 0.11925340502423311, 0.26076901345089104, 0.09865296926970284, -0.10754800859967587, 0.060666060187186135, -0.051773979643040556, 0.14657129114786596, 0.10844342841813634, -0.040614413091643424, 0.1743552432111435, 0.1843675393552619, 0.06784179157126437, 0.15057156967737204, -0.1716988448232477, -0.05248317698825081, -0.1826700548328014, -0.12435408601677923, -0.2197611842146319, -0.002049377849969849, -0.11497894080253991, -0.18911245872366167, 0.4033835135296327, 0.17675703910981896, 0.15079599720537193, 0.13049786757024695, 0.3573170968715055, 0.0698981600426981, 0.119813664731388, 0.07581794995568553, 0.17283085995110678, 0.10663210310820935, 0.12797056296078851, -0.15366674498684188, 0.002275546311449154, 0.122950886077476] |
1,801.10131 | Long scale Ollivier-Ricci curvature of graphs | We study the long scale Ollivier-Ricci curvature of graphs as a function of
the chosen idleness. As in the previous work on the short scale, we show that
this idleness function is concave and piecewise linear with at most $3$ linear
parts. We provide bounds on the length of the first and last linear pieces. We
also study the long scale curvature inside the Cartesian product of two regular
graphs.
| math.CO | we study the long scale ollivierricci curvature of graphs as a function of the chosen idleness as in the previous work on the short scale we show that this idleness function is concave and piecewise linear with at most 3 linear parts we provide bounds on the length of the first and last linear pieces we also study the long scale curvature inside the cartesian product of two regular graphs | [['we', 'study', 'the', 'long', 'scale', 'ollivierricci', 'curvature', 'of', 'graphs', 'as', 'a', 'function', 'of', 'the', 'chosen', 'idleness', 'as', 'in', 'the', 'previous', 'work', 'on', 'the', 'short', 'scale', 'we', 'show', 'that', 'this', 'idleness', 'function', 'is', 'concave', 'and', 'piecewise', 'linear', 'with', 'at', 'most', '3', 'linear', 'parts', 'we', 'provide', 'bounds', 'on', 'the', 'length', 'of', 'the', 'first', 'and', 'last', 'linear', 'pieces', 'we', 'also', 'study', 'the', 'long', 'scale', 'curvature', 'inside', 'the', 'cartesian', 'product', 'of', 'two', 'regular', 'graphs']] | [-0.1478424363636545, 0.1071586101981146, -0.05833172329169299, 0.05550776839788471, -0.06434733431254114, -0.06167420101285513, -0.03345049245815192, 0.39781122846262795, -0.3123634448158555, -0.25779075186167444, 0.1580145821291288, -0.25403291106756243, -0.15636835446847336, 0.17962295873356718, -0.024868542980402707, 0.06027829731714779, 0.013629470732329146, 0.07397335562563967, -0.08534108581620135, -0.2693341191591961, 0.3587416329554149, 0.03687462149454015, 0.190030706005304, 0.11698786241135427, 0.1025958312808403, 0.017652974889746733, -0.035418412195784704, 0.06255240561274279, -0.193352471016468, 0.09623151161358692, 0.18677232190966606, 0.09817388661737952, 0.29645625995472075, -0.4379284827038646, -0.17041935162352664, 0.11322219853422472, 0.08164464484101959, 0.07054933442601136, 0.017248684603587857, -0.19895687835024936, 0.09057022060899596, -0.11209767086963568, -0.08741887633555702, 0.007716107448296887, 0.04179465299738305, 0.05711340065380292, -0.2163034460108195, 0.0522473266144516, 0.0967487430732165, 0.03635599092979516, -0.03806368689651468, -0.12404695503147585, 0.021912065061873622, 0.1399054576310196, 0.0702360035286152, 0.026025513566232155, 0.0650026085054768, -0.08265424322536481, -0.09725664909596422, 0.32918600897703854, -0.1504290376656822, -0.2189792053241815, 0.1435101996308991, -0.1640459097123572, -0.14921474167079266, 0.058274288854694795, 0.224232791736722, 0.18256044696484294, -0.07834851321365152, 0.10900884509652055, -0.0838896860767688, 0.18039961133285293, 0.10693066734820604, 0.036695553229323455, 0.13866579081597072, 0.18209900676405855, 0.1310064507781395, 0.1808799528516829, -0.05341072990559041, -0.07836937172604459, -0.3574174279347062, -0.13894097907468678, -0.2193141912309719, 0.054798573867550916, -0.15070267351568742, -0.20089961952762678, 0.4327489879780582, 0.0628460693838341, 0.2633728958666325, 0.18227230033704211, 0.30021551522825446, 0.08591049110982567, 0.09714036956429481, 0.11283634234485881, 0.19886834374628962, 0.081810679847175, 0.05093799766618758, -0.1674711092574788, 0.03510184241458773, 0.09000937679250326] |
1,801.10132 | Entropy Conservative Schemes and the Receding Flow Problem | This work delves into the family of entropy conservative (EC) schemes
introduced by Tadmor. The discussion is centered around the Euler equations of
fluid mechanics and the receding flow problem extensively studied by Liou. This
work is motivated by Liou's recent findings that an abnormal spike in
temperature observed with finite-volume schemes is linked to a spurious entropy
rise, and that it can be prevented in principle by conserving entropy. While a
semi-discrete analysis suggests EC schemes are a good fit, a fully discrete
analysis based on Tadmor's framework shows the non-negligible impact of
time-integration on the solution behavior. An EC time-integration scheme is
developed to show that enforcing conservation of entropy at the fully discrete
level does not necessarily guarantee a well-behaved solution.
| math.NA | this work delves into the family of entropy conservative ec schemes introduced by tadmor the discussion is centered around the euler equations of fluid mechanics and the receding flow problem extensively studied by liou this work is motivated by lious recent findings that an abnormal spike in temperature observed with finitevolume schemes is linked to a spurious entropy rise and that it can be prevented in principle by conserving entropy while a semidiscrete analysis suggests ec schemes are a good fit a fully discrete analysis based on tadmors framework shows the nonnegligible impact of timeintegration on the solution behavior an ec timeintegration scheme is developed to show that enforcing conservation of entropy at the fully discrete level does not necessarily guarantee a wellbehaved solution | [['this', 'work', 'delves', 'into', 'the', 'family', 'of', 'entropy', 'conservative', 'ec', 'schemes', 'introduced', 'by', 'tadmor', 'the', 'discussion', 'is', 'centered', 'around', 'the', 'euler', 'equations', 'of', 'fluid', 'mechanics', 'and', 'the', 'receding', 'flow', 'problem', 'extensively', 'studied', 'by', 'liou', 'this', 'work', 'is', 'motivated', 'by', 'lious', 'recent', 'findings', 'that', 'an', 'abnormal', 'spike', 'in', 'temperature', 'observed', 'with', 'finitevolume', 'schemes', 'is', 'linked', 'to', 'a', 'spurious', 'entropy', 'rise', 'and', 'that', 'it', 'can', 'be', 'prevented', 'in', 'principle', 'by', 'conserving', 'entropy', 'while', 'a', 'semidiscrete', 'analysis', 'suggests', 'ec', 'schemes', 'are', 'a', 'good', 'fit', 'a', 'fully', 'discrete', 'analysis', 'based', 'on', 'tadmors', 'framework', 'shows', 'the', 'nonnegligible', 'impact', 'of', 'timeintegration', 'on', 'the', 'solution', 'behavior', 'an', 'ec', 'timeintegration', 'scheme', 'is', 'developed', 'to', 'show', 'that', 'enforcing', 'conservation', 'of', 'entropy', 'at', 'the', 'fully', 'discrete', 'level', 'does', 'not', 'necessarily', 'guarantee', 'a', 'wellbehaved', 'solution']] | [-0.11460801284019759, 0.06745447812732652, -0.14520580424988244, 0.04926850040038651, -0.04367481065211726, -0.16376482701066453, 0.04024156902107547, 0.31108307809431535, -0.24999295274314823, -0.2579357422369181, 0.08902961933855578, -0.25160098464999225, -0.12130838060812628, 0.18254178146675198, -0.11900776621626048, 0.08139882722991656, 0.058526858091965075, -0.012071274961421236, -0.053083462944086335, -0.203783598068155, 0.29352961505045655, 0.08065580268253068, 0.336631209696414, 0.09839912887555777, 0.12850225234946205, -0.04996172826427997, -0.07040304988699003, 0.08410100519731564, -0.13857347872312187, 0.07894311856276157, 0.22486987944547332, 0.0862776477645594, 0.2883785051660093, -0.41166673664797526, -0.28611237992967675, 0.0913051138097634, 0.1333080844335319, 0.10428124272119497, -0.053582482453107406, -0.267135255817385, 0.10186920880249865, -0.19416064442303338, -0.12643315601086275, -0.09707063931941254, -0.010647784506321931, -0.005700316745787859, -0.24550068878080147, 0.11171444573393854, 0.12425839811464252, 0.04075934529565962, -0.07967127610349142, -0.05383007026842383, -0.025210328503191225, 0.023460522164270036, 0.07381175438392541, 0.016733423914792794, 0.07180798437530328, -0.045688311468244945, -0.10822184301805912, 0.3745784152725704, -0.05950373044756592, -0.229277260548084, 0.1483287828493497, -0.07498030976743483, -0.1325561214795672, 0.16887424377816135, 0.14881107003855534, 0.1489447351338983, -0.18671489673805972, 0.0821915881958271, -0.030364498299485468, 0.17829421180926386, 0.007346672983076729, -0.020071268390833598, 0.16424142328075697, 0.14189797585646882, 0.07016138692737603, 0.09685897448273818, -0.015773485595986368, -0.1681632979879858, -0.31055911568558364, -0.13713567339830468, -0.16409977583680302, 0.024815744949532405, -0.03209235283930702, -0.14868627159596712, 0.3573063147001359, 0.08751174435210338, 0.17515619551346898, 0.05169833378797611, 0.30300153334831176, 0.16563231662129524, 0.038576874618616995, 0.11537061960695953, 0.24350007309303542, 0.1270035425369002, 0.09585038248304521, -0.24981059112250195, 0.08367308509463567, 0.1420714596255881] |
1,801.10133 | Rigidity properties of full groups of pseudogroups over the Cantor set | We show that the (topological) full group of a minimal pseudogroup over the
Cantor set satisfies various rigidity phenomena of topological dynamical and
combinatorial nature.
Our main result applies to its possible homomorphisms into other groups of
homeomorphisms, and implies that arbitrary homomorphisms between the full
groups of a vast class of pseudogroups must extend to continuous morphisms
between pseudogroups (in particular giving rise to equivariant maps at the
level of spaces). As applications, we obtain explicit obstructions to the
existence of embeddings between full groups in terms of invariants of the
underlying pseudogroups (the geometry of their orbital graphs, the complexity
function, dynamical homology), and provide a complete descriptions of all
homomorphisms within various families of groups including the Higman-Thompson
groups (more generally full groups of one sided shifts of finite type), full
groups of minimal $\mathbb{Z}$-actions on the Cantor set, and a class of groups
of interval exchanges.
We next consider a combinatorial rigidity property of groups, which
formalises the inability of a group to act on any set with Schreier graphs
growing uniformly subexponentially, or more generally not faster than a given
function $f(n)$. For the exponential function this is a well-known consequence
of property $(T)$. We use full groups to provide a source of examples of groups
which satisfy this property but satisfy a strong negation of property $(T)$.
A key tool used in the proofs is the study of the dynamics of the conjugation
action of groups on their space of subgroups, endowed with the Chabauty
topology. In particular we classify the confined and the uniformly recurrent
subgroups of full groups.
| math.GR math.DS | we show that the topological full group of a minimal pseudogroup over the cantor set satisfies various rigidity phenomena of topological dynamical and combinatorial nature our main result applies to its possible homomorphisms into other groups of homeomorphisms and implies that arbitrary homomorphisms between the full groups of a vast class of pseudogroups must extend to continuous morphisms between pseudogroups in particular giving rise to equivariant maps at the level of spaces as applications we obtain explicit obstructions to the existence of embeddings between full groups in terms of invariants of the underlying pseudogroups the geometry of their orbital graphs the complexity function dynamical homology and provide a complete descriptions of all homomorphisms within various families of groups including the higmanthompson groups more generally full groups of one sided shifts of finite type full groups of minimal mathbbzactions on the cantor set and a class of groups of interval exchanges we next consider a combinatorial rigidity property of groups which formalises the inability of a group to act on any set with schreier graphs growing uniformly subexponentially or more generally not faster than a given function fn for the exponential function this is a wellknown consequence of property t we use full groups to provide a source of examples of groups which satisfy this property but satisfy a strong negation of property t a key tool used in the proofs is the study of the dynamics of the conjugation action of groups on their space of subgroups endowed with the chabauty topology in particular we classify the confined and the uniformly recurrent subgroups of full groups | [['we', 'show', 'that', 'the', 'topological', 'full', 'group', 'of', 'a', 'minimal', 'pseudogroup', 'over', 'the', 'cantor', 'set', 'satisfies', 'various', 'rigidity', 'phenomena', 'of', 'topological', 'dynamical', 'and', 'combinatorial', 'nature', 'our', 'main', 'result', 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1,801.10134 | Measurement of differential polarizabilities at a mid-infrared
wavelength in $^{171}\mathrm{Yb}^+$ | An atom exposed to an electric field will experience Stark shifts of its
internal energy levels, proportional to their polarizabilities. In optical
frequency metrology, the Stark shift due to background black-body radiation
(BBR) modifies the frequency of the optical clock transition, and often
represents a large contribution to a clock's uncertainty budget. For clocks
based on singly-ionized ytterbium, the ion's complex structure makes this shift
difficult to calculate theoretically. We present a measurement of the
differential polarizabilities of two ultra-narrow optical clock transitions
present in $^{171}\mathrm{Yb}^+$, performed by exposing the ion to an
oscillating electric field at a wavelength in the region of room temperature
BBR spectra. By measuring the frequency shift to the transitions caused by a
laser at $\lambda=7.17 \mu m$, we obtain values for scalar and tensor
differential polarizabilities with uncertainties at the percent level for both
the electric quadrupole and octupole transitions at 436nm and 467nm
respectively. These values agree with previously reported experimental
measurements and, in the case of the electric quadrupole transition, allow a
5-fold improvement in the determination of the room-temperature BBR shift.
However, we note significant concerns over the validity of the uncertainty
charactarization presented and draw the reader's attention to the Note on
applicability section for a discussion.
| physics.atom-ph | an atom exposed to an electric field will experience stark shifts of its internal energy levels proportional to their polarizabilities in optical frequency metrology the stark shift due to background blackbody radiation bbr modifies the frequency of the optical clock transition and often represents a large contribution to a clocks uncertainty budget for clocks based on singlyionized ytterbium the ions complex structure makes this shift difficult to calculate theoretically we present a measurement of the differential polarizabilities of two ultranarrow optical clock transitions present in 171mathrmyb performed by exposing the ion to an oscillating electric field at a wavelength in the region of room temperature bbr spectra by measuring the frequency shift to the transitions caused by a laser at lambda717 mu m we obtain values for scalar and tensor differential polarizabilities with uncertainties at the percent level for both the electric quadrupole and octupole transitions at 436nm and 467nm respectively these values agree with previously reported experimental measurements and in the case of the electric quadrupole transition allow a 5fold improvement in the determination of the roomtemperature bbr shift however we note significant concerns over the validity of the uncertainty charactarization presented and draw the readers attention to the note on applicability section for a discussion | [['an', 'atom', 'exposed', 'to', 'an', 'electric', 'field', 'will', 'experience', 'stark', 'shifts', 'of', 'its', 'internal', 'energy', 'levels', 'proportional', 'to', 'their', 'polarizabilities', 'in', 'optical', 'frequency', 'metrology', 'the', 'stark', 'shift', 'due', 'to', 'background', 'blackbody', 'radiation', 'bbr', 'modifies', 'the', 'frequency', 'of', 'the', 'optical', 'clock', 'transition', 'and', 'often', 'represents', 'a', 'large', 'contribution', 'to', 'a', 'clocks', 'uncertainty', 'budget', 'for', 'clocks', 'based', 'on', 'singlyionized', 'ytterbium', 'the', 'ions', 'complex', 'structure', 'makes', 'this', 'shift', 'difficult', 'to', 'calculate', 'theoretically', 'we', 'present', 'a', 'measurement', 'of', 'the', 'differential', 'polarizabilities', 'of', 'two', 'ultranarrow', 'optical', 'clock', 'transitions', 'present', 'in', '171mathrmyb', 'performed', 'by', 'exposing', 'the', 'ion', 'to', 'an', 'oscillating', 'electric', 'field', 'at', 'a', 'wavelength', 'in', 'the', 'region', 'of', 'room', 'temperature', 'bbr', 'spectra', 'by', 'measuring', 'the', 'frequency', 'shift', 'to', 'the', 'transitions', 'caused', 'by', 'a', 'laser', 'at', 'lambda717', 'mu', 'm', 'we', 'obtain', 'values', 'for', 'scalar', 'and', 'tensor', 'differential', 'polarizabilities', 'with', 'uncertainties', 'at', 'the', 'percent', 'level', 'for', 'both', 'the', 'electric', 'quadrupole', 'and', 'octupole', 'transitions', 'at', '436nm', 'and', '467nm', 'respectively', 'these', 'values', 'agree', 'with', 'previously', 'reported', 'experimental', 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1,801.10135 | Novel circuit design for high-impedance and non-local electrical
measurements of two-dimensional materials | Two-dimensional materials offer a novel platform for the development of
future quantum technologies. However, the electrical characterisation of
topological insulating states, non-local resistance and bandgap tuning in
atomically-thin materials, can be strongly affected by spurious signals arising
from the measuring electronics. Common-mode voltages, dielectric leakage in the
coaxial cables and the limited input impedance of alternate-current amplifiers
can mask the true nature of such high-impedance states. Here, we present an
optical isolator circuit which grants access to such states by electrically
decoupling the current-injection from the voltage-sensing circuitry. We
benchmark our apparatus against two state-of-the-art measurements: the
non-local resistance of a graphene Hall bar and the transfer characteristic of
a WS2 field-effect transistor. Our system allows the quick characterisation of
novel insulating states in two-dimensional materials with potential
applications in future quantum technologies.
| physics.ins-det cond-mat.mes-hall physics.app-ph | twodimensional materials offer a novel platform for the development of future quantum technologies however the electrical characterisation of topological insulating states nonlocal resistance and bandgap tuning in atomicallythin materials can be strongly affected by spurious signals arising from the measuring electronics commonmode voltages dielectric leakage in the coaxial cables and the limited input impedance of alternatecurrent amplifiers can mask the true nature of such highimpedance states here we present an optical isolator circuit which grants access to such states by electrically decoupling the currentinjection from the voltagesensing circuitry we benchmark our apparatus against two stateoftheart measurements the nonlocal resistance of a graphene hall bar and the transfer characteristic of a ws2 fieldeffect transistor our system allows the quick characterisation of novel insulating states in twodimensional materials with potential applications in future quantum technologies | [['twodimensional', 'materials', 'offer', 'a', 'novel', 'platform', 'for', 'the', 'development', 'of', 'future', 'quantum', 'technologies', 'however', 'the', 'electrical', 'characterisation', 'of', 'topological', 'insulating', 'states', 'nonlocal', 'resistance', 'and', 'bandgap', 'tuning', 'in', 'atomicallythin', 'materials', 'can', 'be', 'strongly', 'affected', 'by', 'spurious', 'signals', 'arising', 'from', 'the', 'measuring', 'electronics', 'commonmode', 'voltages', 'dielectric', 'leakage', 'in', 'the', 'coaxial', 'cables', 'and', 'the', 'limited', 'input', 'impedance', 'of', 'alternatecurrent', 'amplifiers', 'can', 'mask', 'the', 'true', 'nature', 'of', 'such', 'highimpedance', 'states', 'here', 'we', 'present', 'an', 'optical', 'isolator', 'circuit', 'which', 'grants', 'access', 'to', 'such', 'states', 'by', 'electrically', 'decoupling', 'the', 'currentinjection', 'from', 'the', 'voltagesensing', 'circuitry', 'we', 'benchmark', 'our', 'apparatus', 'against', 'two', 'stateoftheart', 'measurements', 'the', 'nonlocal', 'resistance', 'of', 'a', 'graphene', 'hall', 'bar', 'and', 'the', 'transfer', 'characteristic', 'of', 'a', 'ws2', 'fieldeffect', 'transistor', 'our', 'system', 'allows', 'the', 'quick', 'characterisation', 'of', 'novel', 'insulating', 'states', 'in', 'twodimensional', 'materials', 'with', 'potential', 'applications', 'in', 'future', 'quantum', 'technologies']] | [-0.18912048527427935, 0.14968966145011978, -0.021490488409327754, -0.07588107974396464, -0.037861612321496124, -0.2397317826527505, 0.07309901129760075, 0.3853313880368271, -0.26878759126314, -0.2954462076402234, 0.02689891146375524, -0.308374262949961, -0.1834754254242391, 0.27200484334469865, -0.052037464593402076, 0.12627906102743994, 0.007539669734262328, -0.12733973598441833, -0.04932351460865208, -0.1371123805386192, 0.23715116658766988, 0.028679937897392243, 0.3642829821715203, 0.09720768093998822, 0.06466863514101914, -0.01791853093069388, 0.07320853208817314, 0.012032980696504353, -0.09932522380054494, 0.09824518646639666, 0.30671263716489305, -0.044005810816324396, 0.2193617528815552, -0.5114725168993455, -0.22631936774141234, 0.013169994009018854, 0.09120376301193539, 0.16892476245060647, -0.10695821007727895, -0.3330685602543691, 0.05142021632330307, -0.16450043625859473, -0.09014522966409799, -0.10350242057168245, -0.028308804061633486, -0.010432300499981654, -0.22334010745794156, 0.021601942706433702, 0.030539821449468155, 0.05306921687460583, -0.05182872142488108, -0.10489136492744629, -0.014299116209806974, 0.11111019702827316, -0.08882542481141179, -0.025215987791485005, 0.24988870444984837, -0.18911777019593154, -0.1825453897419151, 0.3162430802587676, -0.03550318826722223, -0.1336033248141735, 0.18207743963873627, -0.13005642932733052, 0.010987243299614211, 0.11210821270729408, 0.1563183677570276, 0.05988533174590641, -0.1792814528057707, 0.057814903255598266, 0.048540685617343614, 0.17334001678760155, 0.04915609279068059, 0.15475413116505582, 0.28748839959179634, 0.22652911426293315, 0.07414446734176337, 0.17706743161903182, -0.09203621820646217, 0.044663583945113286, -0.2643294585882046, -0.2151931248043614, -0.21171089180723857, 0.12716636884040447, -0.033332255999188876, -0.2278097593829832, 0.4456876614095487, 0.1743456169621635, 0.10092595691316342, -0.06823245862157631, 0.3516716619683358, 0.07258134248101274, 0.12194744099414985, -0.014852495602876808, 0.2597461684628297, 0.17340424158148296, 0.14123284391603852, -0.25817429174789946, 0.06832927487477775, -0.04779471368137889] |
1,801.10136 | The Third Trick | We prove a result, similar to the ones known as Ishihara's First and Second
Trick, for sequences of functions.
| math.LO | we prove a result similar to the ones known as ishiharas first and second trick for sequences of functions | [['we', 'prove', 'a', 'result', 'similar', 'to', 'the', 'ones', 'known', 'as', 'ishiharas', 'first', 'and', 'second', 'trick', 'for', 'sequences', 'of', 'functions']] | [-0.06259421321252982, 0.021476750469042197, -0.10154154120634, 0.18672257682515514, -0.026134931275414094, -0.08313930624475081, 0.06741801933902833, 0.333205401017848, -0.3058734093275335, -0.2968926999924911, 0.12654619154313373, -0.25637173114551437, -0.23813523310754034, 0.2557976229323281, -0.09534492090137468, 0.059489183541801244, 0.01712505053728819, 0.07767889907376634, -0.0926535093329019, -0.23662291787978676, 0.35030200394491356, -0.039832853712141514, 0.17102394428932005, 0.027395392664604716, 0.09652630446685685, 0.03207442705105576, -0.029672935941360064, -0.060874138234390154, -0.1171494188408057, 0.09366769012477663, 0.18184007647343808, 0.10776039115929355, 0.26817496131277746, -0.343555209123426, -0.1742535694502294, 0.13458151921966216, 0.13196180543551841, 0.17832250660285354, -0.025703436966675024, -0.2515876123474704, 0.13753180738745463, -0.1421762713127666, -0.18066028717698324, -0.12135162577033043, -0.025627635574589174, 0.07703337083674139, -0.30508139496669173, 0.053305758577254087, 0.1740757559115688, -0.022684347867551777, -0.08833445362850195, -0.13526330673549739, 0.018090808945190575, 0.17285070731304586, 0.09236907369146745, 0.07228199674540924, -0.007476420219366749, -0.09337598514846629, -0.15921554693745243, 0.3715812052186165, -0.10337418685149816, -0.14498289860785007, 0.1917137054519521, -0.15153713069028324, -0.2067150767478678, 0.029652064666152, 0.11145778310795625, 0.2366506556669871, -0.12601168624435863, -0.04291221448026287, -0.07359032550205787, 0.13174303300264809, 0.11253472495203216, 0.029924793168902397, 0.03679446901919113, 0.06590345964974, 0.12429727991628978, 0.2562198005616665, 0.013618900500457838, -0.043335774525379143, -0.31103954774638015, -0.20387020582954088, -0.2407460210637914, 0.007846973836421967, -0.047862512576102745, -0.19302004851892385, 0.3662787361277474, 0.0763522047135565, 0.2372003902370731, 0.21133523646535146, 0.27688556847472984, 0.09647104407324353, 0.11783896405379185, 0.03361255960125062, 0.17156478804018763, 0.14896692811614937, 0.08969755957110061, -0.035620677402928576, 0.03108398388657305, 0.17370753611127535] |
1,801.10137 | Inclusive $h_c$ production and energy spectrum from $e^+ e^-$
annihilation at Super $B$ factory | We calculate the next-to-leading order (NLO) radiative correction to the
color-octet $h_c$ inclusive production in $e^+e^-$ annihilation at Super $B$
factory, within the nonrelativistic QCD factorization framework. The analytic
expression for the NLO short-distance coefficient (SDC) accompanying the
color-octet production operator $\mathcal{O}_8^{h_c}(^1S_0)$ is obtained after
summing both virtual and real corrections. The size of NLO correction for the
color-octet production channel is found to be positive and substantial. The NLO
prediction to the $h_c$ energy spectrum is plagued with unphysical endpoint
singularity. With the aid of the soft-collinear effective theory, those large
endpoint logarithms are resummed to the next-to-leading logarithmic (NLL)
accuracy. Consequently, further supplemented with the non-perturbative shape
function, we obtain the well-behaved predictions for the $h_c$ energy spectrum
in the entire kinematic range, which awaits the examination by the forthcoming
Belle II experiment.
| hep-ph hep-ex | we calculate the nexttoleading order nlo radiative correction to the coloroctet h_c inclusive production in ee annihilation at super b factory within the nonrelativistic qcd factorization framework the analytic expression for the nlo shortdistance coefficient sdc accompanying the coloroctet production operator mathcalo_8h_c1s_0 is obtained after summing both virtual and real corrections the size of nlo correction for the coloroctet production channel is found to be positive and substantial the nlo prediction to the h_c energy spectrum is plagued with unphysical endpoint singularity with the aid of the softcollinear effective theory those large endpoint logarithms are resummed to the nexttoleading logarithmic nll accuracy consequently further supplemented with the nonperturbative shape function we obtain the wellbehaved predictions for the h_c energy spectrum in the entire kinematic range which awaits the examination by the forthcoming belle ii experiment | [['we', 'calculate', 'the', 'nexttoleading', 'order', 'nlo', 'radiative', 'correction', 'to', 'the', 'coloroctet', 'h_c', 'inclusive', 'production', 'in', 'ee', 'annihilation', 'at', 'super', 'b', 'factory', 'within', 'the', 'nonrelativistic', 'qcd', 'factorization', 'framework', 'the', 'analytic', 'expression', 'for', 'the', 'nlo', 'shortdistance', 'coefficient', 'sdc', 'accompanying', 'the', 'coloroctet', 'production', 'operator', 'mathcalo_8h_c1s_0', 'is', 'obtained', 'after', 'summing', 'both', 'virtual', 'and', 'real', 'corrections', 'the', 'size', 'of', 'nlo', 'correction', 'for', 'the', 'coloroctet', 'production', 'channel', 'is', 'found', 'to', 'be', 'positive', 'and', 'substantial', 'the', 'nlo', 'prediction', 'to', 'the', 'h_c', 'energy', 'spectrum', 'is', 'plagued', 'with', 'unphysical', 'endpoint', 'singularity', 'with', 'the', 'aid', 'of', 'the', 'softcollinear', 'effective', 'theory', 'those', 'large', 'endpoint', 'logarithms', 'are', 'resummed', 'to', 'the', 'nexttoleading', 'logarithmic', 'nll', 'accuracy', 'consequently', 'further', 'supplemented', 'with', 'the', 'nonperturbative', 'shape', 'function', 'we', 'obtain', 'the', 'wellbehaved', 'predictions', 'for', 'the', 'h_c', 'energy', 'spectrum', 'in', 'the', 'entire', 'kinematic', 'range', 'which', 'awaits', 'the', 'examination', 'by', 'the', 'forthcoming', 'belle', 'ii', 'experiment']] | [-0.07276378145420563, 0.12412145420728224, -0.12212624918294153, 0.14789927335466438, -0.0500885530326293, -0.10110563771893034, -0.006135487000921866, 0.31336207965861507, -0.17527430159137097, -0.21615945927298336, -0.0058321128720973635, -0.3682388049904813, 0.017172886117764595, 0.10769568926501852, 0.08613987697797494, 0.16762048843118654, 0.1020079132120834, 0.016661577871931132, -0.07986313009933471, -0.22905908153329824, 0.3206274996584615, 0.09716345354525456, 0.18710054703918633, 0.2086468701070147, -0.015789521351711192, 0.05048142583543824, -0.08588478326799223, -0.06699224744589805, -0.12258765657446277, 0.06868562269121853, 0.2823139447857862, 0.011330392121323455, 0.1344978625959119, -0.31199912579709305, -0.09488137738445579, 0.08488189486731122, 0.16843985004086437, 0.10744653192067297, -0.008547143183592985, -0.2982710602870489, 0.1447012891937325, -0.28315040622073323, -0.1516357733722109, -0.11498992060964454, -0.037340916738386694, -0.10311901795941947, -0.37406709330910537, 0.10215671218948182, -0.0865100006357447, -0.011516349506564438, 0.003598741966355314, -0.196110162348834, -0.039690594440812604, 0.0794239638428857, 0.08899301861120916, 0.1293459508816517, 0.1659038855603882, -0.23957524483036527, -0.16002563048682328, 0.36621401478439125, -0.08060504689746634, -0.10606812306248875, 0.068089106551514, -0.23541593975596017, -0.12129153612889905, 0.20985831922865403, 0.19238212285737105, 0.06635877752238746, -0.1896942446682491, 0.1831925499935829, 0.09853539607181812, 0.1306809325191651, 0.058299680620974015, 0.05653211253403283, 0.12266643476019155, 0.12643122113546107, -0.06746285399352547, 0.06627968814025925, -0.052281806238496036, -0.12121681559399994, -0.49372027799097906, -0.09990038761674468, -0.07395043745706442, 0.08179066043500025, -0.1534887436260869, -0.15998185237212828, 0.33218156731228776, 0.1327286799927633, 0.2551466100466952, 0.0800185328038451, 0.3574503517862576, 0.1917284019916916, 0.12478383453675795, 0.09180336080512393, 0.31955897994339466, 0.13754334902293536, 0.12686694354260228, -0.2992495400295723, 0.008999211244535312, 0.1277137414705175] |
1,801.10138 | Helically symmetric extended magnetohydrodynamics: Hamiltonian
formulation and equilibrium variational principles | Hamiltonian extended magnetohydrodynamics (XMHD) is restricted to respect
helical symmetry by reducing the Poisson bracket for 3D dynamics to a helically
symmetric one, as an extension of the previous study for translationally
symmetric XMHD (D.A. Kaltsas et al, Phys. Plasmas 24, 092504 (2017)). Four
families of Casimir invariants are obtained directly from the symmetric Poisson
bracket and they are used to construct Energy-Casimir variational principles
for deriving generalized XMHD equilibrium equations with arbitrary macroscopic
flows. The system is then cast into the form of Grad-Shafranov-Bernoulli
equilibrium equations. The axisymmetric and the translationally symmetric
formulations can be retrieved as geometric reductions of the helical symmetric
one. As special cases, the derivation of the corresponding equilibrium
equations for incompressible plasmas is discussed and the helically symmetric
equilibrium equations for the Hall MHD system are obtained upon neglecting
electron inertia. An example of an incompressible double-Beltrami equilibrium
is presented in connection with a magnetic configuration having non-planar
helical magnetic axis.
| physics.plasm-ph | hamiltonian extended magnetohydrodynamics xmhd is restricted to respect helical symmetry by reducing the poisson bracket for 3d dynamics to a helically symmetric one as an extension of the previous study for translationally symmetric xmhd da kaltsas et al phys plasmas 24 092504 2017 four families of casimir invariants are obtained directly from the symmetric poisson bracket and they are used to construct energycasimir variational principles for deriving generalized xmhd equilibrium equations with arbitrary macroscopic flows the system is then cast into the form of gradshafranovbernoulli equilibrium equations the axisymmetric and the translationally symmetric formulations can be retrieved as geometric reductions of the helical symmetric one as special cases the derivation of the corresponding equilibrium equations for incompressible plasmas is discussed and the helically symmetric equilibrium equations for the hall mhd system are obtained upon neglecting electron inertia an example of an incompressible doublebeltrami equilibrium is presented in connection with a magnetic configuration having nonplanar helical magnetic axis | [['hamiltonian', 'extended', 'magnetohydrodynamics', 'xmhd', 'is', 'restricted', 'to', 'respect', 'helical', 'symmetry', 'by', 'reducing', 'the', 'poisson', 'bracket', 'for', '3d', 'dynamics', 'to', 'a', 'helically', 'symmetric', 'one', 'as', 'an', 'extension', 'of', 'the', 'previous', 'study', 'for', 'translationally', 'symmetric', 'xmhd', 'da', 'kaltsas', 'et', 'al', 'phys', 'plasmas', '24', '092504', '2017', 'four', 'families', 'of', 'casimir', 'invariants', 'are', 'obtained', 'directly', 'from', 'the', 'symmetric', 'poisson', 'bracket', 'and', 'they', 'are', 'used', 'to', 'construct', 'energycasimir', 'variational', 'principles', 'for', 'deriving', 'generalized', 'xmhd', 'equilibrium', 'equations', 'with', 'arbitrary', 'macroscopic', 'flows', 'the', 'system', 'is', 'then', 'cast', 'into', 'the', 'form', 'of', 'gradshafranovbernoulli', 'equilibrium', 'equations', 'the', 'axisymmetric', 'and', 'the', 'translationally', 'symmetric', 'formulations', 'can', 'be', 'retrieved', 'as', 'geometric', 'reductions', 'of', 'the', 'helical', 'symmetric', 'one', 'as', 'special', 'cases', 'the', 'derivation', 'of', 'the', 'corresponding', 'equilibrium', 'equations', 'for', 'incompressible', 'plasmas', 'is', 'discussed', 'and', 'the', 'helically', 'symmetric', 'equilibrium', 'equations', 'for', 'the', 'hall', 'mhd', 'system', 'are', 'obtained', 'upon', 'neglecting', 'electron', 'inertia', 'an', 'example', 'of', 'an', 'incompressible', 'doublebeltrami', 'equilibrium', 'is', 'presented', 'in', 'connection', 'with', 'a', 'magnetic', 'configuration', 'having', 'nonplanar', 'helical', 'magnetic', 'axis']] | [-0.15980880238212547, 0.15093581341144663, -0.06265475755170374, 0.04142436690707147, -0.061084841685702225, -0.13575762999924385, -0.10746845957602362, 0.28657931703227485, -0.2591347216156783, -0.28236971999247945, 0.07181878438198262, -0.2323274873877428, -0.10851161389055287, 0.17071175262598054, -0.0005664356478471792, 0.06548771558725577, 0.020478663108819586, -0.023017392466570457, -0.11974235729680263, -0.17976978771817906, 0.3272145573327971, 0.0375806651366935, 0.25648543728491313, -0.05946853559225338, 0.09778459402793027, -0.013669956641803895, 0.016584695242768663, 0.06707907022913574, -0.15836810798069775, 0.03454897940981311, 0.21005771497518502, -0.007283076184330049, 0.1544073705694505, -0.46561963843520393, -0.18727022099199814, 0.023023529147559948, 0.09983554145006777, 0.14442587955310554, -0.009925732032287044, -0.30064921637440656, 0.057786773551594124, -0.1938354830051978, -0.23419384471769747, -0.09802702726953506, 0.039180553305059575, 0.034015289109424, -0.29023473728266724, 0.09734193130106024, 0.12111748293096611, 0.05849963028661229, -0.14267262759884553, -0.11143712613991667, -0.10533896876066658, 0.04892758569111685, 0.004084190368114112, 0.02516094546057526, 0.1251424549868657, -0.0923133057197435, -0.14427522424148856, 0.42300964680246333, -0.021665065057950652, -0.2948568882904463, 0.15708913208989353, -0.08729619590577657, -0.12215572071878554, 0.16044487937598478, 0.12445084737347704, 0.13527534156130602, -0.14971720982439718, 0.10876869153746936, -0.13098400299038207, 0.04883194847377138, 0.09008653374546051, -0.06701238770884546, 0.21688776534820253, 0.064438161328314, 0.057692990162827126, 0.16572025859261283, -0.041437152257588296, -0.20230265245538556, -0.3070263025205727, -0.15818022408555926, -0.15510353834259433, 0.11045421529924135, -0.06184435605539036, -0.20780597839583098, 0.3490187433055396, 0.08299225418867737, 0.0872529295315458, 0.0049242448748101466, 0.2555855218617415, 0.1673049432852817, -0.027279427057349835, 0.13098790749375308, 0.24250902319871276, 0.24733733799604868, 0.0991916650023263, -0.22847544656788277, -0.015251210998432324, 0.159133039101922] |
1,801.10139 | Analysis of the Continued Logarithm Algorithm | The Continued Logarithm Algorithm - CL for short- introduced by Gosper in
1978 computes the gcd of two integers; it seems very efficient, as it only
performs shifts and subtractions. Shallit has studied its worst-case complexity
in 2016 and showed it to be linear. We here perform the average-case analysis
of the algorithm: we study its main parameters (number of iterations, total
number of shifts) and obtain precise asymptotics for their mean values. Our
'dynamical' analysis involves the dynamical system underlying the algorithm,
that produces continued fraction expansions whose quotients are powers of 2.
Even though this CL system has already been studied by Chan (around 2005), the
presence of powers of 2 in the quotients ingrains into the central parameters a
dyadic flavour that cannot be grasped solely by studying the CL system. We thus
introduce a dyadic component and deal with a two-component system. With this
new mixed system at hand, we then provide a complete average-case analysis of
the CL algorithm, with explicit constants.
| cs.DM cs.DS math.DS math.NT | the continued logarithm algorithm cl for short introduced by gosper in 1978 computes the gcd of two integers it seems very efficient as it only performs shifts and subtractions shallit has studied its worstcase complexity in 2016 and showed it to be linear we here perform the averagecase analysis of the algorithm we study its main parameters number of iterations total number of shifts and obtain precise asymptotics for their mean values our dynamical analysis involves the dynamical system underlying the algorithm that produces continued fraction expansions whose quotients are powers of 2 even though this cl system has already been studied by chan around 2005 the presence of powers of 2 in the quotients ingrains into the central parameters a dyadic flavour that cannot be grasped solely by studying the cl system we thus introduce a dyadic component and deal with a twocomponent system with this new mixed system at hand we then provide a complete averagecase analysis of the cl algorithm with explicit constants | [['the', 'continued', 'logarithm', 'algorithm', 'cl', 'for', 'short', 'introduced', 'by', 'gosper', 'in', '1978', 'computes', 'the', 'gcd', 'of', 'two', 'integers', 'it', 'seems', 'very', 'efficient', 'as', 'it', 'only', 'performs', 'shifts', 'and', 'subtractions', 'shallit', 'has', 'studied', 'its', 'worstcase', 'complexity', 'in', '2016', 'and', 'showed', 'it', 'to', 'be', 'linear', 'we', 'here', 'perform', 'the', 'averagecase', 'analysis', 'of', 'the', 'algorithm', 'we', 'study', 'its', 'main', 'parameters', 'number', 'of', 'iterations', 'total', 'number', 'of', 'shifts', 'and', 'obtain', 'precise', 'asymptotics', 'for', 'their', 'mean', 'values', 'our', 'dynamical', 'analysis', 'involves', 'the', 'dynamical', 'system', 'underlying', 'the', 'algorithm', 'that', 'produces', 'continued', 'fraction', 'expansions', 'whose', 'quotients', 'are', 'powers', 'of', '2', 'even', 'though', 'this', 'cl', 'system', 'has', 'already', 'been', 'studied', 'by', 'chan', 'around', '2005', 'the', 'presence', 'of', 'powers', 'of', '2', 'in', 'the', 'quotients', 'ingrains', 'into', 'the', 'central', 'parameters', 'a', 'dyadic', 'flavour', 'that', 'can', 'not', 'be', 'grasped', 'solely', 'by', 'studying', 'the', 'cl', 'system', 'we', 'thus', 'introduce', 'a', 'dyadic', 'component', 'and', 'deal', 'with', 'a', 'twocomponent', 'system', 'with', 'this', 'new', 'mixed', 'system', 'at', 'hand', 'we', 'then', 'provide', 'a', 'complete', 'averagecase', 'analysis', 'of', 'the', 'cl', 'algorithm', 'with', 'explicit', 'constants']] | [-0.15397962538458138, 0.08483785857216466, -0.09835958702164332, 0.06776445048878037, -0.0399126242734043, -0.12881070328876376, 0.08426381695625675, 0.3413331818217075, -0.23498382224387163, -0.31408600781831036, 0.12971363813091766, -0.2456368587838194, -0.14724821150471198, 0.2065492816990331, -0.04224636863793684, 0.03510576107194549, 0.05900599322203232, 0.03888065226292602, -0.050921791991925834, -0.30216738502691354, 0.26197706336851223, 0.06907130551737654, 0.17948767183774925, 0.021972063179155923, 0.08143115905113518, 0.021826188945413445, -0.05099274107838521, 0.023331340952181673, -0.11458888622212955, 0.10944841030693378, 0.21864914851868386, 0.14526370578600306, 0.26556606157065693, -0.3688003221661391, -0.15789216055523558, 0.1356147425501686, 0.14849422332067716, 0.07144635567562206, -0.015528028466211385, -0.2448306785172682, 0.10596334720601984, -0.16503036500120266, -0.12673115885552827, -0.09935049672824252, 0.05739281711404223, 0.02204696558477604, -0.2695264362138191, 0.06895391988225776, 0.08232937166600555, 0.06708749478433214, -0.025224259644971197, -0.15610774735995872, 0.019906458056374757, 0.0974886056108692, 0.0275322037906083, 0.010472449391283634, 0.0677526682777981, -0.07402527965857726, -0.10567197847987962, 0.36048192497208176, -0.06477546422315919, -0.1729650477070855, 0.15026249628267194, -0.151056126497843, -0.17478309167375092, 0.15617194757179684, 0.1493178378420332, 0.11868052809069309, -0.1197571204806936, 0.14360084618492253, -0.08117792856492416, 0.19663125805273451, 0.09503319854455361, 0.014673328731231481, 0.13915534641212188, 0.13802258909047205, 0.05743063078261912, 0.1478175057262373, -0.025414479026817774, -0.06734165232151702, -0.2633581698131579, -0.13343472051131258, -0.17301863605852227, 0.039914095110252235, -0.09911243448066188, -0.14828408341462085, 0.37429805832679375, 0.10528603120123496, 0.21755527077714004, 0.0923877881996962, 0.2867878213291988, 0.1632537824958731, 0.03090763374102717, 0.08328113474333322, 0.21538847906610378, 0.1367054738886991, 0.07272567928429266, -0.20566984057827595, 0.07525401439024024, 0.13965744406113917] |
1,801.1014 | EMME: a formal tool for ECMAScript Memory Model Evaluation | Nearly all web-based interfaces are written in JavaScript. Given its
prevalence, the support for high performance JavaScript code is crucial. The
ECMA Technical Committee 39 (TC39) has recently extended the ECMAScript
language (i.e., JavaScript) to support shared memory accesses between different
threads. The extension is given in terms of a natural language memory model
specification. In this paper we describe a formal approach for validating both
the memory model and its implementations in various JavaScript engines. We
first introduce a formal version of the memory model and report results on
checking the model for consistency and other properties. We then introduce our
tool, EMME, built on top of the Alloy analyzer, which leverages the model to
generate all possible valid executions of a given JavaScript program. Finally,
we report results using EMME together with small test programs to analyze
industrial JavaScript engines. We show that EMME can find bugs as well as
missed opportunities for optimization.
| cs.LO cs.PL | nearly all webbased interfaces are written in javascript given its prevalence the support for high performance javascript code is crucial the ecma technical committee 39 tc39 has recently extended the ecmascript language ie javascript to support shared memory accesses between different threads the extension is given in terms of a natural language memory model specification in this paper we describe a formal approach for validating both the memory model and its implementations in various javascript engines we first introduce a formal version of the memory model and report results on checking the model for consistency and other properties we then introduce our tool emme built on top of the alloy analyzer which leverages the model to generate all possible valid executions of a given javascript program finally we report results using emme together with small test programs to analyze industrial javascript engines we show that emme can find bugs as well as missed opportunities for optimization | [['nearly', 'all', 'webbased', 'interfaces', 'are', 'written', 'in', 'javascript', 'given', 'its', 'prevalence', 'the', 'support', 'for', 'high', 'performance', 'javascript', 'code', 'is', 'crucial', 'the', 'ecma', 'technical', 'committee', '39', 'tc39', 'has', 'recently', 'extended', 'the', 'ecmascript', 'language', 'ie', 'javascript', 'to', 'support', 'shared', 'memory', 'accesses', 'between', 'different', 'threads', 'the', 'extension', 'is', 'given', 'in', 'terms', 'of', 'a', 'natural', 'language', 'memory', 'model', 'specification', 'in', 'this', 'paper', 'we', 'describe', 'a', 'formal', 'approach', 'for', 'validating', 'both', 'the', 'memory', 'model', 'and', 'its', 'implementations', 'in', 'various', 'javascript', 'engines', 'we', 'first', 'introduce', 'a', 'formal', 'version', 'of', 'the', 'memory', 'model', 'and', 'report', 'results', 'on', 'checking', 'the', 'model', 'for', 'consistency', 'and', 'other', 'properties', 'we', 'then', 'introduce', 'our', 'tool', 'emme', 'built', 'on', 'top', 'of', 'the', 'alloy', 'analyzer', 'which', 'leverages', 'the', 'model', 'to', 'generate', 'all', 'possible', 'valid', 'executions', 'of', 'a', 'given', 'javascript', 'program', 'finally', 'we', 'report', 'results', 'using', 'emme', 'together', 'with', 'small', 'test', 'programs', 'to', 'analyze', 'industrial', 'javascript', 'engines', 'we', 'show', 'that', 'emme', 'can', 'find', 'bugs', 'as', 'well', 'as', 'missed', 'opportunities', 'for', 'optimization']] | [-0.11103093783770289, 0.0019655950600281358, -0.05152380716829718, 0.0825912077713141, -0.11442529292196615, -0.18168945288188854, 0.0645526361889085, 0.3908358731926207, -0.2501422041761024, -0.34825178327087264, 0.09831265008149596, -0.2574789737828995, -0.12064111816950819, 0.23365791866936805, -0.07620118724638839, 0.08301523802786848, 0.08126913832936, 0.012926606552118991, -0.02754514406067803, -0.2513138920117121, 0.2656344224112229, 0.05288396726737355, 0.263047445030254, 0.061054544484049275, 0.08122532940530158, 0.0044479060936235375, -0.05017808124017841, 0.008660777266342918, -0.05393854797049161, 0.10456195844688101, 0.2831618652494576, 0.23589786489844902, 0.2898093199768624, -0.4321681881238791, -0.14035955106525064, 0.007430935577888574, 0.08398797003213655, 0.09628992776806744, -0.04716853183307141, -0.27600024056971656, 0.1410521202261088, -0.27271030243341027, -0.05851839437125275, -0.1499907502559824, 0.0015526765219673708, 0.02048608525799793, -0.2260754089821402, -0.06013073553875476, 0.09310354640882752, 0.0962814025084984, -0.033920084765821985, -0.08753171430253605, -0.010070127440320159, 0.11911220785665821, 0.01500482869549207, 0.02319733687531348, 0.14516664436691767, -0.1084119588459461, -0.19231005630746192, 0.3817728615982772, -0.07507187330244146, -0.17338779888530836, 0.21958758297690809, -0.029926712745679665, -0.18999444582959177, 0.016003375824589234, 0.2297575284497111, 0.09186759888944397, -0.1755889367808092, 0.11334998388479875, -0.04029334446584636, 0.22917903637870324, 0.035250307467475823, 0.03247627225899525, 0.2050927655269428, 0.2288891092523352, -0.03375053036558841, 0.21369175206871352, -0.039622380271215334, -0.08011428213998821, -0.30551780714175675, -0.213322269796037, -0.11986914642499881, -0.044155183098545034, -0.07795572804270823, -0.2026309970548594, 0.4005230521759042, 0.24164696341658665, 0.09854358144697141, 0.1335437783083951, 0.3215072841849178, 0.03070979439215009, 0.12495056408466529, 0.1589305025446773, 0.11493003940475839, 0.01847353964354601, 0.15873236940038246, -0.13983039614478393, 0.13122928816244586, 0.02665817945463849] |
1,801.10141 | Random Access Communication for Wireless Control Systems with Energy
Harvesting Sensors | In this paper, we study wireless networked control systems in which the
sensing devices are powered by energy harvesting. We consider a scenario with
multiple plants, where the sensors communicate their measurements to their
respective controllers over a shared wireless channel. Due to the shared nature
of the medium, sensors transmitting simultaneously can lead to packet
collisions. In order to deal with this, we propose the use of random access
communication policies and, to this end, we translate the control performance
requirements to successful packet reception probabilities. The optimal
scheduling decision is to transmit with a certain probability, which is
adaptive to plant, channel and battery conditions. Moreover, we provide a
stochastic dual method to compute the optimal scheduling solution, which is
decoupled across sensors, with only some of the dual variables needed to be
shared between nodes. Furthermore, we also consider asynchronicity in the
values of the variables across sensor nodes and provide theoretical guarantees
on the stability of the control systems under the proposed random access
mechanism. Finally, we provide extensive numerical results that corroborate our
claims.
| math.OC cs.IT math.IT | in this paper we study wireless networked control systems in which the sensing devices are powered by energy harvesting we consider a scenario with multiple plants where the sensors communicate their measurements to their respective controllers over a shared wireless channel due to the shared nature of the medium sensors transmitting simultaneously can lead to packet collisions in order to deal with this we propose the use of random access communication policies and to this end we translate the control performance requirements to successful packet reception probabilities the optimal scheduling decision is to transmit with a certain probability which is adaptive to plant channel and battery conditions moreover we provide a stochastic dual method to compute the optimal scheduling solution which is decoupled across sensors with only some of the dual variables needed to be shared between nodes furthermore we also consider asynchronicity in the values of the variables across sensor nodes and provide theoretical guarantees on the stability of the control systems under the proposed random access mechanism finally we provide extensive numerical results that corroborate our claims | [['in', 'this', 'paper', 'we', 'study', 'wireless', 'networked', 'control', 'systems', 'in', 'which', 'the', 'sensing', 'devices', 'are', 'powered', 'by', 'energy', 'harvesting', 'we', 'consider', 'a', 'scenario', 'with', 'multiple', 'plants', 'where', 'the', 'sensors', 'communicate', 'their', 'measurements', 'to', 'their', 'respective', 'controllers', 'over', 'a', 'shared', 'wireless', 'channel', 'due', 'to', 'the', 'shared', 'nature', 'of', 'the', 'medium', 'sensors', 'transmitting', 'simultaneously', 'can', 'lead', 'to', 'packet', 'collisions', 'in', 'order', 'to', 'deal', 'with', 'this', 'we', 'propose', 'the', 'use', 'of', 'random', 'access', 'communication', 'policies', 'and', 'to', 'this', 'end', 'we', 'translate', 'the', 'control', 'performance', 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1,801.10142 | Diagrammatic Reasoning beyond Clifford+T Quantum Mechanics | The ZX-Calculus is a graphical language for quantum mechanics. An
axiomatisation has recently been proven to be complete for an approximatively
universal fragment of quantum mechanics, the so-called Clifford+T fragment. We
focus here on the expressive power of this axiomatisation beyond Clifford+T
Quantum mechanics. We consider the full pure qubit quantum mechanics, and
mainly prove two results: (i) First, the axiomatisation for Clifford+T quantum
mechanics is also complete for all equations involving some kind of linear
diagrams. The linearity of the diagrams reflects the phase group structure, an
essential feature of the ZX-calculus. In particular all the axioms of the
ZX-calculus are involving linear diagrams. (ii) We also show that the
axiomatisation for Clifford+T is not complete in general but can be completed
by adding a single (non linear) axiom, providing a simpler axiomatisation of
the ZX-calculus for pure quantum mechanics than the one recently introduced by
Ng&Wang.
| quant-ph | the zxcalculus is a graphical language for quantum mechanics an axiomatisation has recently been proven to be complete for an approximatively universal fragment of quantum mechanics the socalled cliffordt fragment we focus here on the expressive power of this axiomatisation beyond cliffordt quantum mechanics we consider the full pure qubit quantum mechanics and mainly prove two results i first the axiomatisation for cliffordt quantum mechanics is also complete for all equations involving some kind of linear diagrams the linearity of the diagrams reflects the phase group structure an essential feature of the zxcalculus in particular all the axioms of the zxcalculus are involving linear diagrams ii we also show that the axiomatisation for cliffordt is not complete in general but can be completed by adding a single non linear axiom providing a simpler axiomatisation of the zxcalculus for pure quantum mechanics than the one recently introduced by ngwang | [['the', 'zxcalculus', 'is', 'a', 'graphical', 'language', 'for', 'quantum', 'mechanics', 'an', 'axiomatisation', 'has', 'recently', 'been', 'proven', 'to', 'be', 'complete', 'for', 'an', 'approximatively', 'universal', 'fragment', 'of', 'quantum', 'mechanics', 'the', 'socalled', 'cliffordt', 'fragment', 'we', 'focus', 'here', 'on', 'the', 'expressive', 'power', 'of', 'this', 'axiomatisation', 'beyond', 'cliffordt', 'quantum', 'mechanics', 'we', 'consider', 'the', 'full', 'pure', 'qubit', 'quantum', 'mechanics', 'and', 'mainly', 'prove', 'two', 'results', 'i', 'first', 'the', 'axiomatisation', 'for', 'cliffordt', 'quantum', 'mechanics', 'is', 'also', 'complete', 'for', 'all', 'equations', 'involving', 'some', 'kind', 'of', 'linear', 'diagrams', 'the', 'linearity', 'of', 'the', 'diagrams', 'reflects', 'the', 'phase', 'group', 'structure', 'an', 'essential', 'feature', 'of', 'the', 'zxcalculus', 'in', 'particular', 'all', 'the', 'axioms', 'of', 'the', 'zxcalculus', 'are', 'involving', 'linear', 'diagrams', 'ii', 'we', 'also', 'show', 'that', 'the', 'axiomatisation', 'for', 'cliffordt', 'is', 'not', 'complete', 'in', 'general', 'but', 'can', 'be', 'completed', 'by', 'adding', 'a', 'single', 'non', 'linear', 'axiom', 'providing', 'a', 'simpler', 'axiomatisation', 'of', 'the', 'zxcalculus', 'for', 'pure', 'quantum', 'mechanics', 'than', 'the', 'one', 'recently', 'introduced', 'by', 'ngwang']] | [-0.071752856655021, 0.11896840673758487, -0.11015884613706953, 0.10138470751904965, -0.08614547378351899, -0.18481226033866913, 0.020412037313795414, 0.31064576323644644, -0.26354645307296193, -0.25384748291832454, 0.03170121487287082, -0.23682630264840157, -0.13308448231063125, 0.19658268899435088, -0.09900637724924655, 0.08192497220042409, 0.04635816556876715, 0.0775216198740147, -0.10748323888619285, -0.2427465026678682, 0.3071260692577074, -0.007161520826582778, 0.23243722067132186, 0.0312522227787191, 0.11734944512294669, 0.06542986740047733, 0.0023392954473795535, 0.07398728012633161, -0.12281633307390132, 0.10391662141536268, 0.29255120790734584, 0.19939678328327176, 0.25360939331308363, -0.44606078338815647, -0.16842833214334915, 0.07754982447213664, 0.06633508509202372, 0.191308172932845, -0.0010110932983597423, -0.28630834875539657, 0.059816888151025135, -0.19834246612660789, -0.08996375157580185, -0.11102505961471067, 0.051454680186195846, -0.09882828401921152, -0.18813317199039659, 0.011707642017055911, 0.20514677323679736, 0.12297682513539888, 0.012613565792475327, -0.08809804980291472, 0.023302033705142687, 0.08557435499542222, -0.16191559883434845, -0.04085018580817446, 0.07801481871707301, -0.13552493287003314, -0.21010887016840027, 0.41231196439590584, 0.0015607411100261458, -0.216426714766948, 0.09693208642360963, -0.10711157708476317, -0.21311637256326166, 0.09443079874705092, 0.024247286119815088, 0.10523075431420588, -0.1633509252046957, 0.17384360536741295, -0.07425871734716455, 0.1895088424754082, 0.06108515120117741, 0.07703369110703887, 0.18710397488633995, 0.1129484390348931, 0.018156041643823034, 0.1784756778320456, 0.04883277443867988, -0.2038486428039313, -0.38946950135967967, -0.24217222981490702, -0.12376468389003607, 0.08385697135325208, -0.04697329873449983, -0.19028554960679847, 0.3706033138794267, 0.08248170485979794, 0.06857159949437601, 0.09732846129166127, 0.27744587989314934, 0.17800449137179955, 0.06220794444251172, 0.026250508373134397, 0.24174337977718494, 0.21649044548433755, 0.04187889307813377, -0.1609956506532015, 0.04764658355369505, 0.11029073386690674] |
1,801.10143 | Non-Relativistic Limits of Colored Gravity in Three Dimensions | The three-dimensional non-relativistic isometry algebras, namely Galilei and
Newton-Hooke algebras, are known to admit double central extensions, which
allows for non-degenerate bilinear forms hence for action principles through
Chern-Simons formulation. In three-dimensional colored gravity, the same
central extension helps the theory evade the multi-graviton no-go theorems by
enlarging the color-decorated isometry algebra. We investigate the
non-relativistic limits of three-dimensional colored gravity in terms of
generalized \.In\"on\"u-Wigner contractions.
| hep-th | the threedimensional nonrelativistic isometry algebras namely galilei and newtonhooke algebras are known to admit double central extensions which allows for nondegenerate bilinear forms hence for action principles through chernsimons formulation in threedimensional colored gravity the same central extension helps the theory evade the multigraviton nogo theorems by enlarging the colordecorated isometry algebra we investigate the nonrelativistic limits of threedimensional colored gravity in terms of generalized inonuwigner contractions | [['the', 'threedimensional', 'nonrelativistic', 'isometry', 'algebras', 'namely', 'galilei', 'and', 'newtonhooke', 'algebras', 'are', 'known', 'to', 'admit', 'double', 'central', 'extensions', 'which', 'allows', 'for', 'nondegenerate', 'bilinear', 'forms', 'hence', 'for', 'action', 'principles', 'through', 'chernsimons', 'formulation', 'in', 'threedimensional', 'colored', 'gravity', 'the', 'same', 'central', 'extension', 'helps', 'the', 'theory', 'evade', 'the', 'multigraviton', 'nogo', 'theorems', 'by', 'enlarging', 'the', 'colordecorated', 'isometry', 'algebra', 'we', 'investigate', 'the', 'nonrelativistic', 'limits', 'of', 'threedimensional', 'colored', 'gravity', 'in', 'terms', 'of', 'generalized', 'inonuwigner', 'contractions']] | [-0.15664787838150832, 0.1440554615392378, -0.05205903950175553, 0.11793981670317324, -0.1439217500755507, -0.19663220549453841, -0.06634145482464439, 0.2414747153560518, -0.27603862728133344, -0.2226025607775558, 0.09910914478611878, -0.22872319782640482, -0.1728807997283046, 0.12138920381778118, -0.14525919487685757, 0.0091721904746285, -0.0016245493792336094, 0.10603141755034978, -0.17877616720612755, -0.19526966131348727, 0.3905202881644734, 0.024733847555718527, 0.24237118384829073, -0.004869811363856901, 0.11383547032230788, 0.08079710039733486, -0.03512248072321668, -0.01140251805102735, -0.1329939506108393, 0.07077822220294779, 0.23181699090778377, 0.032533217165054695, 0.131425609388812, -0.437745298879842, -0.19641225027259102, 0.13413150924801207, 0.16109036415053363, 0.08902827779247398, -0.04744568279464588, -0.3430846148226975, 0.03504512610026833, -0.2301421029366214, -0.20801317685453052, -0.11172645448735266, -0.00010718649189749902, -0.11534886445963022, -0.21078677673005697, 0.08629638619128276, 0.11107537874285657, 0.006484128464239113, -0.10455484835829613, -0.028779467807687593, -0.06926614165334313, 0.03746853131716224, -0.01110447333617644, -0.016503667331893335, 0.14263583070626765, -0.1499283344548365, -0.22157832325407953, 0.42257553598645964, -0.059581866092754135, -0.2639443298914667, 0.16398930116415475, -0.16824849554563337, -0.2349646397174872, 0.06030956467712355, 0.048680494722882, 0.12532489323480564, -0.1297380974459829, 0.2950154870147041, -0.09476985229941254, -0.037566000932587704, 0.15202639372596008, 0.06584392313732568, 0.22104030548573725, 0.04023078080464267, 0.03151303443662597, 0.14664569372932115, 0.05915316269083908, -0.16229149848081623, -0.39044345460945007, -0.17925479115255064, -0.04738328799915811, 0.10011307375900673, -0.18497355657635842, -0.12982643325107568, 0.3394693079841972, 0.11949384157461199, 0.04132292333595229, 0.11776260326256636, 0.20220076253242564, 0.10330102656205947, 0.1764857956688061, 0.04589439706989762, 0.25066383365651057, 0.33700838669866434, -0.014937719979295225, -0.1660995396757216, -0.1635374456474727, 0.31155523769804416] |
1,801.10144 | Multilayer flows in molecular networks identify biological modules in
the human proteome | A variety of complex systems exhibit different types of relationships
simultaneously that can be modeled by multiplex networks. A typical problem is
to determine the community structure of such systems that, in general, depend
on one or more parameters to be tuned. In this study we propose one measure,
grounded on information theory, to find the optimal value of the relax rate
characterizing Multiplex Infomap, the generalization of the Infomap algorithm
to the realm of multilayer networks. We evaluate our methodology on synthetic
networks, to show that the most representative community structure can be
reliably identified when the most appropriate relax rate is used. Capitalizing
on these results, we use this measure to identify the most reliable meso-scale
functional organization in the human protein-protein interaction multiplex
network and compare the observed clusters against a collection of independently
annotated gene sets from the Molecular Signatures Database (MSigDB). Our
analysis reveals that modules obtained with the optimal value of the relax rate
are biologically significant and, remarkably, with higher functional content
than the ones obtained from the aggregate representation of the human proteome.
Our framework allows us to characterize the meso-scale structure of those
multilayer systems whose layers are not explicitly interconnected each other --
as in the case of edge-colored models -- the ones describing most biological
networks, from proteomes to connectomes.
| q-bio.MN physics.bio-ph physics.soc-ph | a variety of complex systems exhibit different types of relationships simultaneously that can be modeled by multiplex networks a typical problem is to determine the community structure of such systems that in general depend on one or more parameters to be tuned in this study we propose one measure grounded on information theory to find the optimal value of the relax rate characterizing multiplex infomap the generalization of the infomap algorithm to the realm of multilayer networks we evaluate our methodology on synthetic networks to show that the most representative community structure can be reliably identified when the most appropriate relax rate is used capitalizing on these results we use this measure to identify the most reliable mesoscale functional organization in the human proteinprotein interaction multiplex network and compare the observed clusters against a collection of independently annotated gene sets from the molecular signatures database msigdb our analysis reveals that modules obtained with the optimal value of the relax rate are biologically significant and remarkably with higher functional content than the ones obtained from the aggregate representation of the human proteome our framework allows us to characterize the mesoscale structure of those multilayer systems whose layers are not explicitly interconnected each other as in the case of edgecolored models the ones describing most biological networks from proteomes to connectomes | [['a', 'variety', 'of', 'complex', 'systems', 'exhibit', 'different', 'types', 'of', 'relationships', 'simultaneously', 'that', 'can', 'be', 'modeled', 'by', 'multiplex', 'networks', 'a', 'typical', 'problem', 'is', 'to', 'determine', 'the', 'community', 'structure', 'of', 'such', 'systems', 'that', 'in', 'general', 'depend', 'on', 'one', 'or', 'more', 'parameters', 'to', 'be', 'tuned', 'in', 'this', 'study', 'we', 'propose', 'one', 'measure', 'grounded', 'on', 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1,801.10145 | First Limit on the Direct Detection of Lightly Ionizing Particles for
Electric Charge as Low as $e$/1000 with the \textsc{Majorana Demonstrator} | The \textsc{Majorana Demonstrator} is an ultra low-background experiment
searching for neutrinoless double-beta decay in $^{76}$Ge. The heavily shielded
array of germanium detectors, placed nearly a mile underground at the Sanford
Underground Research Facility in Lead, South Dakota, also allows searches for
new exotic physics. Free, relativistic, lightly-ionizing particles with
electrical charges less than $e$ are forbidden by the standard model but
predicted by some of its extensions. If such particles exist, they might be
detected in the \textsc{Majorana Demonstrator} by searching for multiple-
detector events with individual-detector energy depositions down to 1 keV. This
search is background free and no candidate events have been found in 285 days
of data taking. New direct-detection limits are set for the flux of lightly
ionizing particles for charges as low as $e$/1000.
| hep-ex astro-ph.CO physics.ins-det | the textscmajorana demonstrator is an ultra lowbackground experiment searching for neutrinoless doublebeta decay in 76ge the heavily shielded array of germanium detectors placed nearly a mile underground at the sanford underground research facility in lead south dakota also allows searches for new exotic physics free relativistic lightlyionizing particles with electrical charges less than e are forbidden by the standard model but predicted by some of its extensions if such particles exist they might be detected in the textscmajorana demonstrator by searching for multiple detector events with individualdetector energy depositions down to 1 kev this search is background free and no candidate events have been found in 285 days of data taking new directdetection limits are set for the flux of lightly ionizing particles for charges as low as e1000 | [['the', 'textscmajorana', 'demonstrator', 'is', 'an', 'ultra', 'lowbackground', 'experiment', 'searching', 'for', 'neutrinoless', 'doublebeta', 'decay', 'in', '76ge', 'the', 'heavily', 'shielded', 'array', 'of', 'germanium', 'detectors', 'placed', 'nearly', 'a', 'mile', 'underground', 'at', 'the', 'sanford', 'underground', 'research', 'facility', 'in', 'lead', 'south', 'dakota', 'also', 'allows', 'searches', 'for', 'new', 'exotic', 'physics', 'free', 'relativistic', 'lightlyionizing', 'particles', 'with', 'electrical', 'charges', 'less', 'than', 'e', 'are', 'forbidden', 'by', 'the', 'standard', 'model', 'but', 'predicted', 'by', 'some', 'of', 'its', 'extensions', 'if', 'such', 'particles', 'exist', 'they', 'might', 'be', 'detected', 'in', 'the', 'textscmajorana', 'demonstrator', 'by', 'searching', 'for', 'multiple', 'detector', 'events', 'with', 'individualdetector', 'energy', 'depositions', 'down', 'to', '1', 'kev', 'this', 'search', 'is', 'background', 'free', 'and', 'no', 'candidate', 'events', 'have', 'been', 'found', 'in', '285', 'days', 'of', 'data', 'taking', 'new', 'directdetection', 'limits', 'are', 'set', 'for', 'the', 'flux', 'of', 'lightly', 'ionizing', 'particles', 'for', 'charges', 'as', 'low', 'as', 'e1000']] | [-0.03886716558398413, 0.28732007290044936, -0.021206131556056558, 0.10083445431091749, -0.025662901421402772, -0.18480623523808187, 0.023411669568823918, 0.34077892603818327, -0.14238785801913648, -0.39288598266504116, 0.09112913567491526, -0.3844688801735405, 0.023870651870744213, 0.22994041405729063, 0.04153843389617072, 0.028351975996176608, 0.057434099862196795, 0.03151879235612421, -0.02147791248335991, -0.21479660524646677, 0.1727191824170332, 0.20108032653973038, 0.251901573813816, 0.05935462229397325, 0.06721130385348159, -0.040713436311639345, -0.024440279124685313, -0.08063988241233996, -0.08805115266688286, 0.014313857063710217, 0.33208131658593343, 0.11448584092616489, 0.1660979346682628, -0.459138277385916, -0.16481298694594038, 0.17993263265169743, 0.13310856653362632, -0.0015657833659104884, -0.16156914270675135, -0.3734544477876394, 0.09640366217077133, -0.18384975993577096, -0.12402834573997155, 0.019332101234116605, -0.010022340921707274, -0.008595641665456314, -0.22458322671434236, -0.008535649041905777, -0.03624833536718691, 0.01064538141889941, -0.05425604630496338, -0.19924043336262307, 0.09041298660338812, 0.027620947317382884, 0.059924849481802316, 0.022682970870167962, 0.20254496193402224, -0.16631978344253545, -0.10627120921743058, 0.37259228040819015, -0.03268769610313318, -0.08161829107086219, 0.17514493591373875, -0.17887116854988216, -0.11961744858750276, 0.22505206307618036, 0.1547883828687999, 0.10941296935059308, -0.23297189040819094, 0.11838056962167481, -0.01132890964938616, 0.1574919913333678, 0.09091994507859151, 0.060610765035981166, 0.3313887982023141, 0.2648416015925625, 0.10556591426148006, 0.05864664623125767, -0.20740193470625118, 0.008681852965512209, -0.3460949501286017, -0.15065022736477354, -0.1042976827611999, 0.039314881740008585, 0.02080008341011033, -0.12364005778698132, 0.3448539581667218, 0.09200937368921817, 0.0940685388373418, -0.04181133099417719, 0.24303217409622102, 0.017739746173670967, 0.11613239482828668, 0.01490242067458374, 0.3244996238548386, 0.07968223739289752, 0.09375397369102945, -0.14331327889822348, 0.030140031221514894, 0.006212404866274151] |
1,801.10146 | The history of star formation from the cosmic infrared background
anisotropies | We present a linear clustering model of cosmic infrared background (CIB)
anisotropies at large scales that is used to measure the cosmic star formation
rate density up to redshift 6, the effective bias of the CIB and the mass of
dark-matter halos hosting dusty star-forming galaxies. This is achieved using
the Planck CIB auto- and cross-power spectra (between different frequencies)
and CIBxCMB lensing cross-spectra measurements, as well as external constraints
(e.g. on the CIB mean brightness). We recovered an obscured star formation
history which agrees well with the values derived from infrared deep surveys
and we confirm that the obscured star formation dominates the unobscured one up
to at least z=4. The obscured and unobscured star formation rate densities are
compatible at $1\sigma$ at z=5. We also determined the evolution of the
effective bias of the galaxies emitting the CIB and found a rapid increase from
$\sim$0.8 at z$=$0 to $\sim$8 at z$=$4. At 2$<$z$<$4, this effective bias is
similar to that of galaxies at the knee of the mass functions and submillimeter
galaxies. This effective bias is the weighted average of the true bias with the
corresponding emissivity of the galaxies. The halo mass corresponding to this
bias is thus not exactly the mass contributing the most to the star formation
density. Correcting for this, we obtained a value of
log(M$_h$/M$_{\odot}$)=12.77$_{-0.125}^{+0.128}$ for the mass of the typical
dark matter halo contributing to the CIB at z=2. Finally, we also computed
using a Fisher matrix analysis how the uncertainties on the cosmological
parameters affect the recovered CIB model parameters and find that the effect
is negligible.
| astro-ph.CO astro-ph.GA | we present a linear clustering model of cosmic infrared background cib anisotropies at large scales that is used to measure the cosmic star formation rate density up to redshift 6 the effective bias of the cib and the mass of darkmatter halos hosting dusty starforming galaxies this is achieved using the planck cib auto and crosspower spectra between different frequencies and cibxcmb lensing crossspectra measurements as well as external constraints eg on the cib mean brightness we recovered an obscured star formation history which agrees well with the values derived from infrared deep surveys and we confirm that the obscured star formation dominates the unobscured one up to at least z4 the obscured and unobscured star formation rate densities are compatible at 1sigma at z5 we also determined the evolution of the effective bias of the galaxies emitting the cib and found a rapid increase from sim08 at z0 to sim8 at z4 at 2z4 this effective bias is similar to that of galaxies at the knee of the mass functions and submillimeter galaxies this effective bias is the weighted average of the true bias with the corresponding emissivity of the galaxies the halo mass corresponding to this bias is thus not exactly the mass contributing the most to the star formation density correcting for this we obtained a value of logm_hm_odot1277_01250128 for the mass of the typical dark matter halo contributing to the cib at z2 finally we also computed using a fisher matrix analysis how the uncertainties on the cosmological parameters affect the recovered cib model parameters and find that the effect is negligible | [['we', 'present', 'a', 'linear', 'clustering', 'model', 'of', 'cosmic', 'infrared', 'background', 'cib', 'anisotropies', 'at', 'large', 'scales', 'that', 'is', 'used', 'to', 'measure', 'the', 'cosmic', 'star', 'formation', 'rate', 'density', 'up', 'to', 'redshift', '6', 'the', 'effective', 'bias', 'of', 'the', 'cib', 'and', 'the', 'mass', 'of', 'darkmatter', 'halos', 'hosting', 'dusty', 'starforming', 'galaxies', 'this', 'is', 'achieved', 'using', 'the', 'planck', 'cib', 'auto', 'and', 'crosspower', 'spectra', 'between', 'different', 'frequencies', 'and', 'cibxcmb', 'lensing', 'crossspectra', 'measurements', 'as', 'well', 'as', 'external', 'constraints', 'eg', 'on', 'the', 'cib', 'mean', 'brightness', 'we', 'recovered', 'an', 'obscured', 'star', 'formation', 'history', 'which', 'agrees', 'well', 'with', 'the', 'values', 'derived', 'from', 'infrared', 'deep', 'surveys', 'and', 'we', 'confirm', 'that', 'the', 'obscured', 'star', 'formation', 'dominates', 'the', 'unobscured', 'one', 'up', 'to', 'at', 'least', 'z4', 'the', 'obscured', 'and', 'unobscured', 'star', 'formation', 'rate', 'densities', 'are', 'compatible', 'at', '1sigma', 'at', 'z5', 'we', 'also', 'determined', 'the', 'evolution', 'of', 'the', 'effective', 'bias', 'of', 'the', 'galaxies', 'emitting', 'the', 'cib', 'and', 'found', 'a', 'rapid', 'increase', 'from', 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'parameters', 'and', 'find', 'that', 'the', 'effect', 'is', 'negligible']] | [-0.033336251085116106, 0.10280469884161324, -0.0785198912172663, 0.15064552397686357, -0.0598202811088413, -0.010479905975940213, 0.023521820466901936, 0.39633684145431314, -0.163854794698912, -0.34782244865147566, 0.03564417723629793, -0.3254548678047616, -0.018596960048219473, 0.16549152019080904, 0.01459922112046501, -0.021707544249610775, -0.034131065207034364, -0.06373366705233682, -0.05938566575539219, -0.3183614803781507, 0.32602688809151226, 0.16258586399955233, 0.20915352800952722, 0.004395269462045028, 0.1323598035775252, -0.08772526790959422, -0.11115992042499728, -0.003931544184910528, -0.18672821779656454, 0.03448487574739071, 0.24034845254231407, 0.0966742682750478, 0.1872020888540922, -0.2977718596327274, -0.18678992621558296, 0.11647435281051774, 0.17729841800560694, 0.09573884269841736, -0.0645543215386252, -0.23795264236854785, 0.08663779576697077, -0.16447235209952024, -0.137979292194359, 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1,801.10147 | Weak adiabatic limit in quantum field theories with massless particles | We construct the Wightman and Green functions in a large class of models of
perturbative QFT in the four-dimensional Minkowski space in the Epstein-Glaser
framework. To this end we prove the existence of the weak adiabatic limit,
generalizing the results due to Blanchard and Seneor. Our proof is valid under
the assumption that the time-ordered products satisfy certain normalization
condition. We show that this normalization condition may be imposed in all
models with interaction vertices of canonical dimension 4 as well as in all
models with interaction vertices of canonical dimension 3 provided each of them
contains at least one massive field. Moreover, we prove that it is compatible
with all the standard normalization conditions which are usually imposed on the
time-ordered products. The result applies, for example, to quantum
electrodynamics and non-abelian Yang-Mills theories.
| math-ph math.MP | we construct the wightman and green functions in a large class of models of perturbative qft in the fourdimensional minkowski space in the epsteinglaser framework to this end we prove the existence of the weak adiabatic limit generalizing the results due to blanchard and seneor our proof is valid under the assumption that the timeordered products satisfy certain normalization condition we show that this normalization condition may be imposed in all models with interaction vertices of canonical dimension 4 as well as in all models with interaction vertices of canonical dimension 3 provided each of them contains at least one massive field moreover we prove that it is compatible with all the standard normalization conditions which are usually imposed on the timeordered products the result applies for example to quantum electrodynamics and nonabelian yangmills theories | [['we', 'construct', 'the', 'wightman', 'and', 'green', 'functions', 'in', 'a', 'large', 'class', 'of', 'models', 'of', 'perturbative', 'qft', 'in', 'the', 'fourdimensional', 'minkowski', 'space', 'in', 'the', 'epsteinglaser', 'framework', 'to', 'this', 'end', 'we', 'prove', 'the', 'existence', 'of', 'the', 'weak', 'adiabatic', 'limit', 'generalizing', 'the', 'results', 'due', 'to', 'blanchard', 'and', 'seneor', 'our', 'proof', 'is', 'valid', 'under', 'the', 'assumption', 'that', 'the', 'timeordered', 'products', 'satisfy', 'certain', 'normalization', 'condition', 'we', 'show', 'that', 'this', 'normalization', 'condition', 'may', 'be', 'imposed', 'in', 'all', 'models', 'with', 'interaction', 'vertices', 'of', 'canonical', 'dimension', '4', 'as', 'well', 'as', 'in', 'all', 'models', 'with', 'interaction', 'vertices', 'of', 'canonical', 'dimension', '3', 'provided', 'each', 'of', 'them', 'contains', 'at', 'least', 'one', 'massive', 'field', 'moreover', 'we', 'prove', 'that', 'it', 'is', 'compatible', 'with', 'all', 'the', 'standard', 'normalization', 'conditions', 'which', 'are', 'usually', 'imposed', 'on', 'the', 'timeordered', 'products', 'the', 'result', 'applies', 'for', 'example', 'to', 'quantum', 'electrodynamics', 'and', 'nonabelian', 'yangmills', 'theories']] | [-0.1207830930934913, 0.12765862588178187, -0.08230656071621646, 0.08702480332203098, -0.04731659637764096, -0.12206022281185794, -0.02047335424759328, 0.32476436776289747, -0.21367205841355583, -0.2602213966215391, 0.08896633468780306, -0.24240338235898917, -0.152510513912942, 0.16979174968723987, -0.05733706195727547, 0.03502385222019433, 0.05830375352829222, 0.07323476126584322, -0.07705358764914268, -0.2848337873114523, 0.3870479121262124, -0.01141029943229019, 0.26935766146556517, 0.05984805478608416, 0.10557778190765808, 0.04190374839070962, -0.012177360565540618, 0.030595444924495212, -0.1054138376354392, 0.08137269971767135, 0.2030893539387979, 0.12193636846061406, 0.21313060898987105, -0.4220736257509509, -0.18087244852543322, 0.14391064856882527, 0.09131569402473075, 0.11534533831690535, 0.01156443050183328, -0.2542183826913807, 0.0944010533994922, -0.15054700755055495, -0.16052510899338704, -0.08695858998446544, -0.023052685476193175, -0.016769556898568103, -0.30411334092374337, 0.06455407622652545, 0.07335521245059043, 0.012639016448172615, -0.07323475331311295, -0.08294100581265207, -0.02479053921858544, 0.094887563192508, 0.062207619954984805, 0.039705083541287135, 0.08129599054149393, -0.1507108161387072, -0.09713089934536326, 0.367261840155654, -0.08028498464333478, -0.22343192306006632, 0.19994492664822003, -0.15652199064854033, -0.1898770351154007, 0.0558256377985548, 0.07433499770113892, 0.12694094370730888, -0.1276238938348729, 0.16861628817347463, -0.05938181296727662, 0.1065525019364588, 0.11086049537980623, 0.0557666098705055, 0.13764862208835668, 0.08694789588534788, 0.0671868974329042, 0.14225729267241488, 0.010218148588666818, -0.10481252862529745, -0.4131114714459252, -0.1592750328509554, -0.15073798613973768, 0.1105354605694371, -0.12772629991898735, -0.18185949794697895, 0.34610571851606353, 0.16391082338853252, 0.1867153408186538, 0.10969474715086867, 0.2626800943876672, 0.14526823701931219, 0.11226520112128373, 0.1039497976316445, 0.22960824748230124, 0.15752406090970583, 0.035430652447350656, -0.13500266872457603, -0.03257831376316999, 0.13527357250229635] |
1,801.10148 | Controlled spatial separation of spins and coherent dynamics in
spin-orbit-coupled nanostructures | The spatial separation of electron spins followed by the control of their
individual spin dynamics has recently emerged as an essential ingredient in
many proposals for spin-based technologies because it would enable both of the
two spin species to be simultaneously utilized, distinct from most of the
current spintronic studies and technologies wherein only one spin species could
be handled at a time. Here we demonstrate that the spatial spin splitting of a
coherent beam of electrons can be achieved and controlled using the interplay
between an external magnetic field and Rashba spin-orbit interaction in
semiconductor nanostructures. The technique of transverse magnetic focusing is
used to detect this spin separation. More notably, our ability to engineer the
spin-orbit interactions enables us to simultaneously manipulate and probe the
coherent spin dynamics of both spin species and hence their correlation, which
could open a route towards spintronics and spin-based quantum information
processing.
| cond-mat.mes-hall | the spatial separation of electron spins followed by the control of their individual spin dynamics has recently emerged as an essential ingredient in many proposals for spinbased technologies because it would enable both of the two spin species to be simultaneously utilized distinct from most of the current spintronic studies and technologies wherein only one spin species could be handled at a time here we demonstrate that the spatial spin splitting of a coherent beam of electrons can be achieved and controlled using the interplay between an external magnetic field and rashba spinorbit interaction in semiconductor nanostructures the technique of transverse magnetic focusing is used to detect this spin separation more notably our ability to engineer the spinorbit interactions enables us to simultaneously manipulate and probe the coherent spin dynamics of both spin species and hence their correlation which could open a route towards spintronics and spinbased quantum information processing | [['the', 'spatial', 'separation', 'of', 'electron', 'spins', 'followed', 'by', 'the', 'control', 'of', 'their', 'individual', 'spin', 'dynamics', 'has', 'recently', 'emerged', 'as', 'an', 'essential', 'ingredient', 'in', 'many', 'proposals', 'for', 'spinbased', 'technologies', 'because', 'it', 'would', 'enable', 'both', 'of', 'the', 'two', 'spin', 'species', 'to', 'be', 'simultaneously', 'utilized', 'distinct', 'from', 'most', 'of', 'the', 'current', 'spintronic', 'studies', 'and', 'technologies', 'wherein', 'only', 'one', 'spin', 'species', 'could', 'be', 'handled', 'at', 'a', 'time', 'here', 'we', 'demonstrate', 'that', 'the', 'spatial', 'spin', 'splitting', 'of', 'a', 'coherent', 'beam', 'of', 'electrons', 'can', 'be', 'achieved', 'and', 'controlled', 'using', 'the', 'interplay', 'between', 'an', 'external', 'magnetic', 'field', 'and', 'rashba', 'spinorbit', 'interaction', 'in', 'semiconductor', 'nanostructures', 'the', 'technique', 'of', 'transverse', 'magnetic', 'focusing', 'is', 'used', 'to', 'detect', 'this', 'spin', 'separation', 'more', 'notably', 'our', 'ability', 'to', 'engineer', 'the', 'spinorbit', 'interactions', 'enables', 'us', 'to', 'simultaneously', 'manipulate', 'and', 'probe', 'the', 'coherent', 'spin', 'dynamics', 'of', 'both', 'spin', 'species', 'and', 'hence', 'their', 'correlation', 'which', 'could', 'open', 'a', 'route', 'towards', 'spintronics', 'and', 'spinbased', 'quantum', 'information', 'processing']] | [-0.15637948380880212, 0.20289495336687347, -0.05507561241082537, 0.03971739063815524, -0.05872824825656911, -0.18606095892998079, 0.0019590821474169693, 0.4097851313153903, -0.30392028474326555, -0.3479758132621646, 0.019099291865713894, -0.23791293325833976, -0.09145386533190807, 0.24867132276296616, 0.051884158021263525, 0.02164047092354546, -0.02771909986467411, -0.0360949916663958, -0.03642449745209888, -0.17569096675220255, 0.255186925449622, 0.031565723173165076, 0.30328899511756996, 0.1067839392957588, 0.11923756041564047, 0.045434669569755594, 0.03653901420242619, -0.006700844060008725, -0.05743528060484095, 0.15976473262533544, 0.280417431256501, 0.01957689017057419, 0.2458130825124681, -0.5012497489030162, -0.22240151039712752, 0.04775160343386233, 0.193067646176011, 0.21030138788744807, -0.07983174864406464, -0.29968115576232474, 0.015821110781592627, -0.17071220558136702, -0.13165174513744812, -0.13578050435210268, 0.0001486491117005547, -0.009092619304234783, -0.25609713469011086, 0.02112043901036183, 0.08428418746373306, 0.014423582423478364, -0.02133109205402434, -0.06626209828381736, -0.049953177998152874, 0.16428949875601878, 0.013118768661903838, 0.06320369238887603, 0.1737893782540535, -0.14587882977444677, -0.19141251546757607, 0.340370676095287, -0.03291777128508935, -0.17019481321175894, 0.22703987277733784, -0.1433647048807082, -0.09282496058382093, 0.09288917482985805, 0.1716288903487536, 0.1087259936456879, -0.18151779981019597, 0.024200825806862364, 0.06774298903532326, 0.1730764205342469, 0.02857148815567295, 0.14602304732737442, 0.3348083328207334, 0.18769762739539148, 0.08986108765588142, 0.09847003899980336, -0.15005340721458196, -0.08401804831189413, -0.15520928402431308, -0.19224122470865648, -0.2239340282169481, 0.08650921165943146, -0.038089339838091596, -0.09153073307437201, 0.42893528098550937, 0.20591416971874424, 0.13770867767821376, -0.09433711097808554, 0.2979354409563045, 0.05948736035420249, 0.10833504087912539, -0.011204195472722252, 0.2470225750375539, 0.1970925007155165, 0.1029879670465986, -0.30085374688419203, 0.07988975499135753, -0.0425457554931442] |
1,801.10149 | Theory of Disordered $\nu = 5/2$ Quantum Thermal Hall State: Emergent
Symmetry and Phase Diagram | Fractional quantum Hall (FQH) system at Landau level filling fraction
$\nu=5/2$ has long been suggested to be non-Abelian, either Pfaffian (Pf) or
antiPfaffian (APf) states by numerical studies, both with quantized Hall
conductance $\sigma_{xy}=5e^2/2h$. Thermal Hall conductances of the Pf and APf
states are quantized at $\kappa_{xy}=7/2$ and $\kappa_{xy}=3/2$ respectively in
a proper unit. However, a recent experiment shows the thermal Hall conductance
of $\nu=5/2$ FQH state is $\kappa_{xy}=5/2$. It has been speculated that the
system contains random Pf and APf domains driven by disorders, and the neutral
chiral Majorana modes on the domain walls may undergo a percolation transition
to a $\kappa_{xy}=5/2$ phase. In this work, we do perturbative and
non-perturbative analyses on the domain walls between Pf and APf. We show the
domain wall theory possesses an emergent SO(4) symmetry at energy scales below
a threshold $\Lambda_1$, which is lowered to an emergent U(1)$\times$U(1)
symmetry at energy scales between $\Lambda_1$ and a higher value $\Lambda_2$,
and is finally lowered to the composite fermion parity symmetry
$\mathbb{Z}_2^F$ above $\Lambda_2$. Based on the emergent symmetries, we
propose a phase diagram of the disordered $\nu=5/2$ FQH system, and show that a
$\kappa_{xy}=5/2$ phase arises at disorder energy scales $\Lambda>\Lambda_1$.
Furthermore, we show the gapped double-semion sector of $N_D$ compact domain
walls contributes non-local topological degeneracy $2^{N_D-1}$, causing a
low-temperature peak in the heat capacity. We implement a non-perturbative
method to bootstrap generic topological 1+1D domain walls (2-surface defects)
applicable to any 2+1D non-Abelian topological order. We identify potentially
relevant spin TQFTs for various $\nu = 5/2$ FQH states in terms of fermionic
version of U(1)$_{\pm 8}$ Chern-Simons theory $\times \mathbb{Z}_8$-class
TQFTs.
| cond-mat.mes-hall cond-mat.str-el hep-th | fractional quantum hall fqh system at landau level filling fraction nu52 has long been suggested to be nonabelian either pfaffian pf or antipfaffian apf states by numerical studies both with quantized hall conductance sigma_xy5e22h thermal hall conductances of the pf and apf states are quantized at kappa_xy72 and kappa_xy32 respectively in a proper unit however a recent experiment shows the thermal hall conductance of nu52 fqh state is kappa_xy52 it has been speculated that the system contains random pf and apf domains driven by disorders and the neutral chiral majorana modes on the domain walls may undergo a percolation transition to a kappa_xy52 phase in this work we do perturbative and nonperturbative analyses on the domain walls between pf and apf we show the domain wall theory possesses an emergent so4 symmetry at energy scales below a threshold lambda_1 which is lowered to an emergent u1timesu1 symmetry at energy scales between lambda_1 and a higher value lambda_2 and is finally lowered to the composite fermion parity symmetry mathbbz_2f above lambda_2 based on the emergent symmetries we propose a phase diagram of the disordered nu52 fqh system and show that a kappa_xy52 phase arises at disorder energy scales lambdalambda_1 furthermore we show the gapped doublesemion sector of n_d compact domain walls contributes nonlocal topological degeneracy 2n_d1 causing a lowtemperature peak in the heat capacity we implement a nonperturbative method to bootstrap generic topological 11d domain walls 2surface defects applicable to any 21d nonabelian topological order we identify potentially relevant spin tqfts for various nu 52 fqh states in terms of fermionic version of u1_pm 8 chernsimons theory times mathbbz_8class tqfts | [['fractional', 'quantum', 'hall', 'fqh', 'system', 'at', 'landau', 'level', 'filling', 'fraction', 'nu52', 'has', 'long', 'been', 'suggested', 'to', 'be', 'nonabelian', 'either', 'pfaffian', 'pf', 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1,801.1015 | Odd surface waves in two-dimensional incompressible fluids | We consider free surface dynamics of a two-dimensional incompressible fluid
with odd viscosity. The odd viscosity is a peculiar part of the viscosity
tensor which does not result in dissipation and is allowed when parity symmetry
is broken. For the case of incompressible fluids, the odd viscosity manifests
itself through the free surface (no stress) boundary conditions. We first find
the free surface wave solutions of hydrodynamics in the linear approximation
and study the dispersion of such waves. As expected, the surface waves are
chiral and even exist in the absence of gravity and vanishing shear viscosity.
In this limit, we derive effective nonlinear Hamiltonian equations for the
surface dynamics, generalizing the linear solutions to the weakly nonlinear
case. Within the small surface angle approximation, the equation of motion
leads to a new class of non-linear chiral dynamics governed by what we dub the
{\it chiral} Burgers equation. The chiral Burgers equation is identical to the
complex Burgers equation with imaginary viscosity and an additional analyticity
requirement that enforces chirality. We present several exact solutions of the
chiral Burgers equation. For generic multiple pole initial conditions, the
system evolves to the formation of singularities in a finite time similar to
the case of an ideal fluid without odd viscosity. We also obtain a periodic
solution to the chiral Burgers corresponding to the non-linear generalization
of small amplitude linear waves.
| physics.flu-dyn cond-mat.mes-hall | we consider free surface dynamics of a twodimensional incompressible fluid with odd viscosity the odd viscosity is a peculiar part of the viscosity tensor which does not result in dissipation and is allowed when parity symmetry is broken for the case of incompressible fluids the odd viscosity manifests itself through the free surface no stress boundary conditions we first find the free surface wave solutions of hydrodynamics in the linear approximation and study the dispersion of such waves as expected the surface waves are chiral and even exist in the absence of gravity and vanishing shear viscosity in this limit we derive effective nonlinear hamiltonian equations for the surface dynamics generalizing the linear solutions to the weakly nonlinear case within the small surface angle approximation the equation of motion leads to a new class of nonlinear chiral dynamics governed by what we dub the it chiral burgers equation the chiral burgers equation is identical to the complex burgers equation with imaginary viscosity and an additional analyticity requirement that enforces chirality we present several exact solutions of the chiral burgers equation for generic multiple pole initial conditions the system evolves to the formation of singularities in a finite time similar to the case of an ideal fluid without odd viscosity we also obtain a periodic solution to the chiral burgers corresponding to the nonlinear generalization of small amplitude linear waves | [['we', 'consider', 'free', 'surface', 'dynamics', 'of', 'a', 'twodimensional', 'incompressible', 'fluid', 'with', 'odd', 'viscosity', 'the', 'odd', 'viscosity', 'is', 'a', 'peculiar', 'part', 'of', 'the', 'viscosity', 'tensor', 'which', 'does', 'not', 'result', 'in', 'dissipation', 'and', 'is', 'allowed', 'when', 'parity', 'symmetry', 'is', 'broken', 'for', 'the', 'case', 'of', 'incompressible', 'fluids', 'the', 'odd', 'viscosity', 'manifests', 'itself', 'through', 'the', 'free', 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1,801.10151 | NuSTAR view of the central region of M 31 | Our neighbouring large spiral galaxy, the Andromeda galaxy (M 31 or NGC 224),
is an ideal target to study the X-ray source population of a nearby galaxy.
NuSTAR observed the central region of M 31 in 2015 and allows studying the
population of X-ray point sources at energies higher than 10 keV. Based on the
source catalogue of the large XMM-Newton survey of M 31, we identified
counterparts to the XMM-Newton sources in the NuSTAR data. The NuSTAR data only
contain sources of a brightness comparable (or even brighter) than the selected
sources that have been detected in XMM-Newton data. We investigate hardness
ratios, spectra and long-term light curves of individual sources obtained from
NuSTAR data. Based on our spectral studies we suggest four sources as possible
X-ray binary candidates. The long-term light curves of seven sources that have
been observed more than once show low (but significant) variability.
| astro-ph.HE astro-ph.GA | our neighbouring large spiral galaxy the andromeda galaxy m 31 or ngc 224 is an ideal target to study the xray source population of a nearby galaxy nustar observed the central region of m 31 in 2015 and allows studying the population of xray point sources at energies higher than 10 kev based on the source catalogue of the large xmmnewton survey of m 31 we identified counterparts to the xmmnewton sources in the nustar data the nustar data only contain sources of a brightness comparable or even brighter than the selected sources that have been detected in xmmnewton data we investigate hardness ratios spectra and longterm light curves of individual sources obtained from nustar data based on our spectral studies we suggest four sources as possible xray binary candidates the longterm light curves of seven sources that have been observed more than once show low but significant variability | [['our', 'neighbouring', 'large', 'spiral', 'galaxy', 'the', 'andromeda', 'galaxy', 'm', '31', 'or', 'ngc', '224', 'is', 'an', 'ideal', 'target', 'to', 'study', 'the', 'xray', 'source', 'population', 'of', 'a', 'nearby', 'galaxy', 'nustar', 'observed', 'the', 'central', 'region', 'of', 'm', '31', 'in', '2015', 'and', 'allows', 'studying', 'the', 'population', 'of', 'xray', 'point', 'sources', 'at', 'energies', 'higher', 'than', '10', 'kev', 'based', 'on', 'the', 'source', 'catalogue', 'of', 'the', 'large', 'xmmnewton', 'survey', 'of', 'm', '31', 'we', 'identified', 'counterparts', 'to', 'the', 'xmmnewton', 'sources', 'in', 'the', 'nustar', 'data', 'the', 'nustar', 'data', 'only', 'contain', 'sources', 'of', 'a', 'brightness', 'comparable', 'or', 'even', 'brighter', 'than', 'the', 'selected', 'sources', 'that', 'have', 'been', 'detected', 'in', 'xmmnewton', 'data', 'we', 'investigate', 'hardness', 'ratios', 'spectra', 'and', 'longterm', 'light', 'curves', 'of', 'individual', 'sources', 'obtained', 'from', 'nustar', 'data', 'based', 'on', 'our', 'spectral', 'studies', 'we', 'suggest', 'four', 'sources', 'as', 'possible', 'xray', 'binary', 'candidates', 'the', 'longterm', 'light', 'curves', 'of', 'seven', 'sources', 'that', 'have', 'been', 'observed', 'more', 'than', 'once', 'show', 'low', 'but', 'significant', 'variability']] | [-0.0673637512466564, 0.033391221908593845, -0.08981490022996629, 0.12498089594019564, -0.09738298953860848, -0.07201744790420236, 0.0808345706783385, 0.46098860863271174, -0.1004219902304295, -0.4061094966135769, 0.08427630198397518, -0.4045329380597046, 0.016058669197404344, 0.26407624358130033, -0.01940984006571871, -0.028611489877904822, 0.08740669372647801, -0.0875441986026755, -0.03467204105054285, -0.30214304446974055, 0.26284021521049655, 0.10520908839050555, 0.20915490147601437, -0.08446250299629349, 0.09110281824356183, -0.04295699630751456, -0.1257440284075803, -0.03160571360385558, -0.06494179177740604, 0.05182910777453408, 0.25947623224866473, 0.11798510627763271, 0.18808176813509642, -0.3427465185648043, -0.24112015998228484, 0.09473314465042329, 0.16770934018043915, -0.016940771552090277, -0.03221708652143439, -0.29061412419764415, 0.07264695487464871, -0.17973040825852987, -0.17513921385593462, 0.05645992635005472, 0.05264391903859257, 0.04538129786210722, -0.13042424558099333, 0.10990850100818797, -0.010220062367355563, 0.10994508506842708, -0.19285371855109143, -0.12492517152513634, -0.03308030001306594, 0.0733068118328166, 0.020272682251364943, 0.05777840880089558, 0.13009376557943905, -0.11557037338001916, -0.09546290620561414, 0.36623591234619984, -0.03919249524558885, 0.0804031033181404, 0.19213735506301058, -0.23925716896235144, -0.23707628450606444, 0.18371610156644835, 0.16362617763959422, 0.14664018289779857, -0.1894193771826541, -0.013259450700907536, -0.04856252519026299, 0.2993139342833451, 0.05178477947643939, 0.09462977281250856, 0.28991790542429025, 0.0882724768711854, 0.030280338522146812, 0.14771900012395375, -0.32554535533070267, 0.02324746027487274, -0.22462271804602554, -0.029628350293176287, -0.15694655287048262, 0.11800018708602894, -0.12072249838669047, -0.08619983928417162, 0.35919043494563474, 0.08523797005689984, 0.2013158871051574, -0.007305693722036261, 0.28537181993608907, 0.04785568384069249, 0.08724643251914906, 0.13257911511940645, 0.3320226568053633, 0.10021739862796744, 0.07602445399638691, -0.17365788812936603, 0.01655215243090119, -0.07655315724964841] |
1,801.10152 | Cost- and Energy-Aware Multi-Flow Mobile Data Offloading Using Markov
Decision Process | With the rapid increase in demand for mobile data, mobile network operators
are trying to expand wireless network capacity by deploying wireless local area
network (LAN) hotspots on which they can offload their mobile traffic. However,
these network-centric methods usually do not fulfill the interests of mobile
users (MUs). Taking into consideration many issues, MUs should be able to
decide whether to offload their traffic to a complementary wireless LAN. Our
previous work studied single-flow wireless LAN offloading from a MU's
perspective by considering delay-tolerance of traffic, monetary cost and energy
consumption. In this paper, we study the multi-flow mobile data offloading
problem from a MU's perspective in which a MU has multiple applications to
download data simultaneously from remote servers, and different applications'
data have different deadlines. We formulate the wireless LAN offloading problem
as a finite-horizon discrete-time Markov decision process (MDP) and establish
an optimal policy by a dynamic programming based algorithm. Since the time
complexity of the dynamic programming based offloading algorithm is still high,
we propose a low time complexity heuristic offloading algorithm with
performance sacrifice. Extensive simulations are conducted to validate our
proposed offloading algorithms.
| cs.NI | with the rapid increase in demand for mobile data mobile network operators are trying to expand wireless network capacity by deploying wireless local area network lan hotspots on which they can offload their mobile traffic however these networkcentric methods usually do not fulfill the interests of mobile users mus taking into consideration many issues mus should be able to decide whether to offload their traffic to a complementary wireless lan our previous work studied singleflow wireless lan offloading from a mus perspective by considering delaytolerance of traffic monetary cost and energy consumption in this paper we study the multiflow mobile data offloading problem from a mus perspective in which a mu has multiple applications to download data simultaneously from remote servers and different applications data have different deadlines we formulate the wireless lan offloading problem as a finitehorizon discretetime markov decision process mdp and establish an optimal policy by a dynamic programming based algorithm since the time complexity of the dynamic programming based offloading algorithm is still high we propose a low time complexity heuristic offloading algorithm with performance sacrifice extensive simulations are conducted to validate our proposed offloading algorithms | [['with', 'the', 'rapid', 'increase', 'in', 'demand', 'for', 'mobile', 'data', 'mobile', 'network', 'operators', 'are', 'trying', 'to', 'expand', 'wireless', 'network', 'capacity', 'by', 'deploying', 'wireless', 'local', 'area', 'network', 'lan', 'hotspots', 'on', 'which', 'they', 'can', 'offload', 'their', 'mobile', 'traffic', 'however', 'these', 'networkcentric', 'methods', 'usually', 'do', 'not', 'fulfill', 'the', 'interests', 'of', 'mobile', 'users', 'mus', 'taking', 'into', 'consideration', 'many', 'issues', 'mus', 'should', 'be', 'able', 'to', 'decide', 'whether', 'to', 'offload', 'their', 'traffic', 'to', 'a', 'complementary', 'wireless', 'lan', 'our', 'previous', 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1,801.10153 | Detection of short term response of the low ionosphere on gamma ray
bursts | In this paper, we study the possibility of detection of short term
terrestrial lower ionospheric response to gamma ray bursts (GRBs) using a
statistical analysis of perturbations of six very low or low frequency (VLF/LF)
radio signals emitted by transmitters located worldwide and recorded by VLF/LF
receiver located in Belgrade (Serbia). We consider a sample of 54 short lasting
GRBs (shorter than 1 min) detected by the SWIFT satellite during the period
2009-2012. We find that a statistically significant perturbations can be
present in the low ionosphere, and reactions on GRBs may be observed
immediately after the beginning of the GRB event or with a time delay of 60 s -
90 s.
| physics.space-ph | in this paper we study the possibility of detection of short term terrestrial lower ionospheric response to gamma ray bursts grbs using a statistical analysis of perturbations of six very low or low frequency vlflf radio signals emitted by transmitters located worldwide and recorded by vlflf receiver located in belgrade serbia we consider a sample of 54 short lasting grbs shorter than 1 min detected by the swift satellite during the period 20092012 we find that a statistically significant perturbations can be present in the low ionosphere and reactions on grbs may be observed immediately after the beginning of the grb event or with a time delay of 60 s 90 s | [['in', 'this', 'paper', 'we', 'study', 'the', 'possibility', 'of', 'detection', 'of', 'short', 'term', 'terrestrial', 'lower', 'ionospheric', 'response', 'to', 'gamma', 'ray', 'bursts', 'grbs', 'using', 'a', 'statistical', 'analysis', 'of', 'perturbations', 'of', 'six', 'very', 'low', 'or', 'low', 'frequency', 'vlflf', 'radio', 'signals', 'emitted', 'by', 'transmitters', 'located', 'worldwide', 'and', 'recorded', 'by', 'vlflf', 'receiver', 'located', 'in', 'belgrade', 'serbia', 'we', 'consider', 'a', 'sample', 'of', '54', 'short', 'lasting', 'grbs', 'shorter', 'than', '1', 'min', 'detected', 'by', 'the', 'swift', 'satellite', 'during', 'the', 'period', '20092012', 'we', 'find', 'that', 'a', 'statistically', 'significant', 'perturbations', 'can', 'be', 'present', 'in', 'the', 'low', 'ionosphere', 'and', 'reactions', 'on', 'grbs', 'may', 'be', 'observed', 'immediately', 'after', 'the', 'beginning', 'of', 'the', 'grb', 'event', 'or', 'with', 'a', 'time', 'delay', 'of', '60', 's', '90', 's']] | [-0.17501396336176964, 0.21815433468769438, -0.035841829725541174, 0.11836240891066804, -0.052364169797426384, -0.11999361098527775, 0.0943274785313406, 0.38859477303256945, -0.17418830362813814, -0.34435529163705986, 0.09758589396889354, -0.32748419026445064, -0.06112516741164394, 0.2330345589476305, -0.02837588093825616, -0.04291958690321605, 0.10036515183518142, -0.020322204941684113, -0.05630598205347529, -0.22607234800774936, 0.1764831369988055, 0.17391908684554178, 0.19234031677764765, -0.036356050720704455, 0.09350692354408759, -0.021762833165537034, -0.08229463194610227, -0.07448554527322163, -0.08158803283556283, 0.0013618051972506301, 0.29678833030499974, 0.14610352849038982, 0.2258129629605849, -0.45718010113309254, -0.23556520880499324, 0.12046448243199848, 0.09109659716029585, 0.0015800968880544783, -0.029354725445695555, -0.32043581206900335, 0.08637308759041064, -0.20597624629070715, -0.10099904373055324, 0.13621267936624853, 0.08458350364318383, 0.05685893616464455, -0.1657728319998049, 0.11823950639310558, 0.0062772290506732786, 0.10297296439031405, -0.060682878319182364, -0.02092997813763629, 0.030611339174876257, 0.06674375920972254, 0.06887609571796409, 0.05867217660540648, 0.10464403510143581, -0.05249779606362738, -0.07651500052972031, 0.376797743291328, -0.11525053454287056, 0.030874427324826165, 0.17299846573106542, -0.24380289849276388, -0.15350216889055446, 0.21947030750535695, 0.21148616728273087, 0.09359833710394534, -0.19159843683987024, -0.024191473355261093, 0.0551616668484972, 0.22128693394396187, 0.12166364556261604, 0.0493515338540809, 0.24339711894364363, 0.14231636207218148, 0.0441131104453234, 0.10532685864330103, -0.24785056565347727, 0.06629754685127409, -0.2905712933378319, -0.04826676161402637, -0.15539545530918986, 0.115008392958511, -0.05067190337467764, -0.07634656824354481, 0.43618789373743183, 0.08145597815850383, 0.1754290243781205, 0.06047429928626765, 0.2740188472338819, 0.08705719098049615, 0.029314804102536333, 0.12891893373203597, 0.2917162292370839, 0.04170920695469249, 0.13345517900389886, -0.15517799576628022, 0.10641929288976826, -0.02497104649332219] |
1,801.10154 | Formation of interstellar methanol ice prior to the heavy CO freeze-out
stage | The formation of methanol (CH3OH) on icy grain mantles during the star
formation cycle is mainly associated with the CO freeze-out stage. Yet there
are reasons to believe that CH3OH also can form at an earlier period of
interstellar ice evolution in CO-poor and H2O-rich ices. This work focuses on
CH3OH formation in a H2O-rich interstellar ice environment following the
OH-mediated H-abstraction in the reaction, CH4 + OH. Experimental conditions
are systematically varied to constrain the CH3OH formation yield at
astronomically relevant temperatures. CH4, O2, and hydrogen atoms are
co-deposited in an ultrahigh vacuum chamber at 10-20 K. OH radicals are
generated by the H + O2 surface reaction. Temperature programmed desorption -
quadrupole mass spectrometry (TPD-QMS) is used to characterize CH3OH formation,
and is complemented with reflection absorption infrared spectroscopy (RAIRS)
for CH3OH characterization and quantitation. CH3OH formation is shown to be
possible by the sequential surface reaction chain, CH4 + OH -> CH3 + H2O and
CH3 + OH -> CH3OH at 10-20 K. This reaction is enhanced by tunneling, as noted
in a recent theoretical investigation (Lamberts et al. 2017). The CH3OH
formation yield via the CH4 + OH route versus the CO + H route is approximately
20 times smaller for the laboratory settings studied. The astronomical
relevance of the new formation channel investigated here is discussed.
| astro-ph.GA astro-ph.SR | the formation of methanol ch3oh on icy grain mantles during the star formation cycle is mainly associated with the co freezeout stage yet there are reasons to believe that ch3oh also can form at an earlier period of interstellar ice evolution in copoor and h2orich ices this work focuses on ch3oh formation in a h2orich interstellar ice environment following the ohmediated habstraction in the reaction ch4 oh experimental conditions are systematically varied to constrain the ch3oh formation yield at astronomically relevant temperatures ch4 o2 and hydrogen atoms are codeposited in an ultrahigh vacuum chamber at 1020 k oh radicals are generated by the h o2 surface reaction temperature programmed desorption quadrupole mass spectrometry tpdqms is used to characterize ch3oh formation and is complemented with reflection absorption infrared spectroscopy rairs for ch3oh characterization and quantitation ch3oh formation is shown to be possible by the sequential surface reaction chain ch4 oh ch3 h2o and ch3 oh ch3oh at 1020 k this reaction is enhanced by tunneling as noted in a recent theoretical investigation lamberts et al 2017 the ch3oh formation yield via the ch4 oh route versus the co h route is approximately 20 times smaller for the laboratory settings studied the astronomical relevance of the new formation channel investigated here is discussed | [['the', 'formation', 'of', 'methanol', 'ch3oh', 'on', 'icy', 'grain', 'mantles', 'during', 'the', 'star', 'formation', 'cycle', 'is', 'mainly', 'associated', 'with', 'the', 'co', 'freezeout', 'stage', 'yet', 'there', 'are', 'reasons', 'to', 'believe', 'that', 'ch3oh', 'also', 'can', 'form', 'at', 'an', 'earlier', 'period', 'of', 'interstellar', 'ice', 'evolution', 'in', 'copoor', 'and', 'h2orich', 'ices', 'this', 'work', 'focuses', 'on', 'ch3oh', 'formation', 'in', 'a', 'h2orich', 'interstellar', 'ice', 'environment', 'following', 'the', 'ohmediated', 'habstraction', 'in', 'the', 'reaction', 'ch4', 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1,801.10155 | Instanton liquid properties from lattice QCD | We examined the instanton contribution to the QCD configurations generated
from lattice QCD for $N_F=0$, $N_F=2+1$ and $N_F=2+1+1$ dynamical quark flavors
from two different and complementary approaches. First via the use of Gradient
flow, we computed instanton liquid properties using an algorithm to localize
instantons in the gauge field configurations and studied their evolution with
flow time. Then, the analysis of the running at low momenta of gluon Green's
functions serves as an independent confirmation of the instanton density which
can also be derived without the use of the Gradient flow.
| hep-lat hep-ph | we examined the instanton contribution to the qcd configurations generated from lattice qcd for n_f0 n_f21 and n_f211 dynamical quark flavors from two different and complementary approaches first via the use of gradient flow we computed instanton liquid properties using an algorithm to localize instantons in the gauge field configurations and studied their evolution with flow time then the analysis of the running at low momenta of gluon greens functions serves as an independent confirmation of the instanton density which can also be derived without the use of the gradient flow | [['we', 'examined', 'the', 'instanton', 'contribution', 'to', 'the', 'qcd', 'configurations', 'generated', 'from', 'lattice', 'qcd', 'for', 'n_f0', 'n_f21', 'and', 'n_f211', 'dynamical', 'quark', 'flavors', 'from', 'two', 'different', 'and', 'complementary', 'approaches', 'first', 'via', 'the', 'use', 'of', 'gradient', 'flow', 'we', 'computed', 'instanton', 'liquid', 'properties', 'using', 'an', 'algorithm', 'to', 'localize', 'instantons', 'in', 'the', 'gauge', 'field', 'configurations', 'and', 'studied', 'their', 'evolution', 'with', 'flow', 'time', 'then', 'the', 'analysis', 'of', 'the', 'running', 'at', 'low', 'momenta', 'of', 'gluon', 'greens', 'functions', 'serves', 'as', 'an', 'independent', 'confirmation', 'of', 'the', 'instanton', 'density', 'which', 'can', 'also', 'be', 'derived', 'without', 'the', 'use', 'of', 'the', 'gradient', 'flow']] | [-0.09933108895003878, 0.20405404015148704, -0.1718615295344984, 0.07207966777035496, -0.018946794232681065, -0.04046541814318766, 0.0305676198830562, 0.3776243425250708, -0.19963545674601427, -0.24337817608777965, 0.08115071767895063, -0.2622661792294501, -0.0927642437803385, 0.11465024658489031, 0.06310346593650487, 0.09117153870801513, 0.01941510819789063, 0.007877463341823645, -0.12113177752797748, -0.2470645676494914, 0.3477573398255057, -0.001861881101401625, 0.2551411166582461, 0.10777543106942776, 0.11015427910344122, 0.022895641517467223, -0.05723799566564324, 0.028385086875449824, -0.13483143545134546, 0.060222434100009256, 0.17046545062068297, 0.046113493348837055, 0.12120395972761888, -0.431020853769771, -0.2071796666042736, 0.06004849596174209, 0.16337280038355306, 0.14396168439326665, -0.026059933879238727, -0.2851440686793936, 0.09512791532900307, -0.19330023063326274, -0.1536258035454551, -0.13205760751165205, -0.061337860499426806, 0.009169438070615057, -0.2808328062132165, 0.03537283001619821, -0.08795605306827034, 0.03919407988356038, -0.0413902371489842, -0.18246355347826584, -0.06581284832414035, 0.1665758941742172, 0.13690438543210973, 0.10134071991318366, 0.15405179178956283, -0.2157802299409593, -0.1575224132809256, 0.40824069687584924, -0.10388487011864576, -0.20471321492568478, 0.16746373118187946, -0.10006619684889421, -0.12576877983327914, 0.12316757748108152, 0.174429997754447, 0.16702182666183665, -0.1458122567324848, 0.08071841135880767, -0.016797538638207037, 0.16692654531868686, 0.0784294108379182, -0.0002502033405087806, 0.22733929312204595, 0.11738097095595938, 0.018459580091575344, 0.14601412332478583, -0.04775596438692166, -0.1487249138990192, -0.34603138210681766, -0.08654761655194747, -0.18762078369548033, 0.08478456080742794, -0.14105360067636927, -0.16688736041004842, 0.39025250525510574, 0.13637267670256423, 0.20333779238645439, 0.033626486210838205, 0.305585644832188, 0.1141049873146515, 0.05609860339529485, 0.07494012599012681, 0.2126011077601176, 0.17263447176051008, 0.11385414915179813, -0.31621654674021915, -0.10309689730190887, 0.17255317623686087] |
1,801.10156 | Scalable backpropagation for Gaussian Processes using celerite | This research note presents a derivation and implementation of efficient and
scalable gradient computations using the celerite algorithm for Gaussian
Process (GP) modeling. The algorithms are derived in a "reverse accumulation"
or "backpropagation" framework and they can be easily integrated into existing
automatic differentiation frameworks to provide a scalable method for
evaluating the gradients of the GP likelihood with respect to all input
parameters. The algorithm derived in this note uses less memory and is more
efficient than versions using automatic differentiation and the computational
cost scales linearly with the number of data points.
| astro-ph.IM | this research note presents a derivation and implementation of efficient and scalable gradient computations using the celerite algorithm for gaussian process gp modeling the algorithms are derived in a reverse accumulation or backpropagation framework and they can be easily integrated into existing automatic differentiation frameworks to provide a scalable method for evaluating the gradients of the gp likelihood with respect to all input parameters the algorithm derived in this note uses less memory and is more efficient than versions using automatic differentiation and the computational cost scales linearly with the number of data points | [['this', 'research', 'note', 'presents', 'a', 'derivation', 'and', 'implementation', 'of', 'efficient', 'and', 'scalable', 'gradient', 'computations', 'using', 'the', 'celerite', 'algorithm', 'for', 'gaussian', 'process', 'gp', 'modeling', 'the', 'algorithms', 'are', 'derived', 'in', 'a', 'reverse', 'accumulation', 'or', 'backpropagation', 'framework', 'and', 'they', 'can', 'be', 'easily', 'integrated', 'into', 'existing', 'automatic', 'differentiation', 'frameworks', 'to', 'provide', 'a', 'scalable', 'method', 'for', 'evaluating', 'the', 'gradients', 'of', 'the', 'gp', 'likelihood', 'with', 'respect', 'to', 'all', 'input', 'parameters', 'the', 'algorithm', 'derived', 'in', 'this', 'note', 'uses', 'less', 'memory', 'and', 'is', 'more', 'efficient', 'than', 'versions', 'using', 'automatic', 'differentiation', 'and', 'the', 'computational', 'cost', 'scales', 'linearly', 'with', 'the', 'number', 'of', 'data', 'points']] | [-0.06115578879947744, 0.0074310805748707505, -0.10267373237518533, 0.07020982303503687, -0.09539811595052641, -0.15017269466633118, 0.0481035936841621, 0.449760181588992, -0.2817362478824072, -0.3220589384668186, 0.13699428706369812, -0.20311055524695304, -0.15476607847883697, 0.25318178137193526, -0.059105304630613455, 0.06711125102955648, 0.09919895170136325, -0.030833864526670446, -0.08088857526277562, -0.24988678301013606, 0.2394408285580275, 0.0654342943221651, 0.29235100997511737, -0.022833734823350785, 0.10576897633377143, -0.019955653902543807, -0.0850200143802951, 0.007677417215941253, -0.06249175849621014, 0.2368050155164774, 0.2561935165907026, 0.20454380030353222, 0.3114213271326916, -0.4348375448376261, -0.19051314098259775, 0.10653071886339095, 0.1759733807875134, 0.14080569273241425, -0.058267632537672885, -0.22953358156386242, 0.10420662049524566, -0.1526835882906071, -0.07215858658935914, -0.13082607683565428, -0.015421826647774826, 0.006532973219310084, -0.3303609808646543, 0.05574397345183678, 0.04564707414046811, 0.05643069107205637, -0.007615468154350917, -0.15162611459331807, 0.030435756717618275, 0.07016492686584912, -0.011229302919790855, 0.053369811779859486, 0.13619865397972766, -0.09113581358425078, -0.13662902618287712, 0.3501680912550098, -0.04276867995807846, -0.25957570870291763, 0.18032797855094715, -0.010068213046398215, -0.12967029543873923, 0.13941412352986873, 0.21190100405565512, 0.12926232436251256, -0.17864436731343308, 0.0560589193946041, 0.06852481211785988, 0.16389916342512895, 0.021030742910400194, -0.00020157411614412903, 0.1288953579121059, 0.22316438388279689, 0.0871198796366732, 0.13641201283016632, -0.058950771878082904, -0.11014637563337562, -0.2748708011963034, -0.18742407032699193, -0.1603493797354981, -0.04571516970322738, -0.10473689240054854, -0.17749825085923876, 0.36542042308757383, 0.19786345046914874, 0.1746392964475578, 0.14789318985315741, 0.3852240586633323, 0.1384578878410481, 0.10044906659912999, 0.15330423886877714, 0.13512223104004978, 0.09111892366881973, 0.1063113352584262, -0.1710439144573625, 0.11078201960371707, 0.07069779540567349] |
1,801.10157 | Precise test of Higgs properties via triple Higgs production in VBF at
future colliders | For certain classes of Beyond the Standard Model theories, including
composite Higgs models, the coupling of the Higgs to gauge bosons can be
different from the Standard Model one. In this case, the multi-boson production
via vector boson fusion (VBF) can be hugely enhanced in comparison to the SM
production one due to the lack of cancellation in longitudinal vector boson
scattering. Among these processes, triple Higgs boson production in VBF plays a
special role - its enhancement is especially spectacular due to the absence of
background from transversely polarised vector bosons in the final state. While
the rates from $pp\to jjhhh$ production in vector boson fusion are too low at
the LHC and even at future 33 TeV $pp$ colliders, we have found that the 100
TeV $pp$ future circular collider (FCC) has the unique opportunity to probe the
$hVV$ coupling far beyond the LHC sensitivity. We have evaluated the $pp\to
jjhhh$ rates as a function of deviation from the $hVV$ coupling and have found
that the background is much smaller than the signal for observable signal
rates. We also found that the 100 TeV $pp$ FCC can probe the $hVV$ coupling up
to the permille level, which is far beyond the LHC reach. These results
highlight a special role of the $hhh$ VBF production and stress once more the
importance of the 100 TeV $pp$ FCC.
| hep-ph | for certain classes of beyond the standard model theories including composite higgs models the coupling of the higgs to gauge bosons can be different from the standard model one in this case the multiboson production via vector boson fusion vbf can be hugely enhanced in comparison to the sm production one due to the lack of cancellation in longitudinal vector boson scattering among these processes triple higgs boson production in vbf plays a special role its enhancement is especially spectacular due to the absence of background from transversely polarised vector bosons in the final state while the rates from ppto jjhhh production in vector boson fusion are too low at the lhc and even at future 33 tev pp colliders we have found that the 100 tev pp future circular collider fcc has the unique opportunity to probe the hvv coupling far beyond the lhc sensitivity we have evaluated the ppto jjhhh rates as a function of deviation from the hvv coupling and have found that the background is much smaller than the signal for observable signal rates we also found that the 100 tev pp fcc can probe the hvv coupling up to the permille level which is far beyond the lhc reach these results highlight a special role of the hhh vbf production and stress once more the importance of the 100 tev pp fcc | [['for', 'certain', 'classes', 'of', 'beyond', 'the', 'standard', 'model', 'theories', 'including', 'composite', 'higgs', 'models', 'the', 'coupling', 'of', 'the', 'higgs', 'to', 'gauge', 'bosons', 'can', 'be', 'different', 'from', 'the', 'standard', 'model', 'one', 'in', 'this', 'case', 'the', 'multiboson', 'production', 'via', 'vector', 'boson', 'fusion', 'vbf', 'can', 'be', 'hugely', 'enhanced', 'in', 'comparison', 'to', 'the', 'sm', 'production', 'one', 'due', 'to', 'the', 'lack', 'of', 'cancellation', 'in', 'longitudinal', 'vector', 'boson', 'scattering', 'among', 'these', 'processes', 'triple', 'higgs', 'boson', 'production', 'in', 'vbf', 'plays', 'a', 'special', 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1,801.10158 | Learning to Classify from Impure Samples with High-Dimensional Data | A persistent challenge in practical classification tasks is that labeled
training sets are not always available. In particle physics, this challenge is
surmounted by the use of simulations. These simulations accurately reproduce
most features of data, but cannot be trusted to capture all of the complex
correlations exploitable by modern machine learning methods. Recent work in
weakly supervised learning has shown that simple, low-dimensional classifiers
can be trained using only the impure mixtures present in data. Here, we
demonstrate that complex, high-dimensional classifiers can also be trained on
impure mixtures using weak supervision techniques, with performance comparable
to what could be achieved with pure samples. Using weak supervision will
therefore allow us to avoid relying exclusively on simulations for
high-dimensional classification. This work opens the door to a new regime
whereby complex models are trained directly on data, providing direct access to
probe the underlying physics.
| hep-ph hep-ex stat.ML | a persistent challenge in practical classification tasks is that labeled training sets are not always available in particle physics this challenge is surmounted by the use of simulations these simulations accurately reproduce most features of data but cannot be trusted to capture all of the complex correlations exploitable by modern machine learning methods recent work in weakly supervised learning has shown that simple lowdimensional classifiers can be trained using only the impure mixtures present in data here we demonstrate that complex highdimensional classifiers can also be trained on impure mixtures using weak supervision techniques with performance comparable to what could be achieved with pure samples using weak supervision will therefore allow us to avoid relying exclusively on simulations for highdimensional classification this work opens the door to a new regime whereby complex models are trained directly on data providing direct access to probe the underlying physics | [['a', 'persistent', 'challenge', 'in', 'practical', 'classification', 'tasks', 'is', 'that', 'labeled', 'training', 'sets', 'are', 'not', 'always', 'available', 'in', 'particle', 'physics', 'this', 'challenge', 'is', 'surmounted', 'by', 'the', 'use', 'of', 'simulations', 'these', 'simulations', 'accurately', 'reproduce', 'most', 'features', 'of', 'data', 'but', 'can', 'not', 'be', 'trusted', 'to', 'capture', 'all', 'of', 'the', 'complex', 'correlations', 'exploitable', 'by', 'modern', 'machine', 'learning', 'methods', 'recent', 'work', 'in', 'weakly', 'supervised', 'learning', 'has', 'shown', 'that', 'simple', 'lowdimensional', 'classifiers', 'can', 'be', 'trained', 'using', 'only', 'the', 'impure', 'mixtures', 'present', 'in', 'data', 'here', 'we', 'demonstrate', 'that', 'complex', 'highdimensional', 'classifiers', 'can', 'also', 'be', 'trained', 'on', 'impure', 'mixtures', 'using', 'weak', 'supervision', 'techniques', 'with', 'performance', 'comparable', 'to', 'what', 'could', 'be', 'achieved', 'with', 'pure', 'samples', 'using', 'weak', 'supervision', 'will', 'therefore', 'allow', 'us', 'to', 'avoid', 'relying', 'exclusively', 'on', 'simulations', 'for', 'highdimensional', 'classification', 'this', 'work', 'opens', 'the', 'door', 'to', 'a', 'new', 'regime', 'whereby', 'complex', 'models', 'are', 'trained', 'directly', 'on', 'data', 'providing', 'direct', 'access', 'to', 'probe', 'the', 'underlying', 'physics']] | [-0.012053244953918062, 0.07319068437803308, -0.0871138232791809, 0.08487320444578318, -0.1472570294305226, -0.21527281749461377, 0.02648270686891969, 0.42862223239447667, -0.2868568070183768, -0.3347644184519645, 0.08786641457910035, -0.24692521663303454, -0.13588824671231642, 0.25474206923719395, -0.09492824712869566, 0.08065518136627237, 0.16008556346475547, 0.012647444298364171, -0.06399712380699712, -0.30900251563499065, 0.31795909970073777, 0.053186004062747066, 0.3242693943997883, 0.010295999372618742, 0.07094498200569346, -0.041853711511116144, -0.01120763112074968, 0.02895196126203756, -0.05739011993978393, 0.17100686323037054, 0.35869316497871984, 0.1601151772505496, 0.29258874453426825, -0.4340264071412638, -0.25460288162995764, 0.13489855790263688, 0.16257075399760676, 0.16660706810083012, -0.03765587375869937, -0.3205800030101724, 0.08081030695410889, -0.14250236882378353, -0.027688629038277127, -0.23928092809102566, -0.08350899743017595, -0.016405038751794825, -0.28310412465639057, 0.05237996278051128, 0.05123526041655719, 0.057686626686252095, -0.001045675290951214, -0.06263868790119886, 0.0204891444747748, 0.1415721458029699, -0.0075197316623818716, 0.026198478225542575, 0.13586449729861552, -0.16259672730641606, -0.15047987463700324, 0.36406162468602465, -0.05460254509527819, -0.23418246692388642, 0.27894893149230754, -0.08356454777119517, -0.17255640363789537, 0.11450176235592487, 0.2291031744470503, 0.10036969839335502, -0.20146895764272052, 0.04842741939624879, -0.057678295365933864, 0.2121399240061438, 0.01431478506752423, -0.015818786981585276, 0.2173249467353647, 0.24512225639100382, -0.020477882046315843, 0.09618260358225833, -0.10601169128148329, -0.05332571835428172, -0.19950641579862657, -0.07193645312241753, -0.24582679878974167, 0.03171273101407078, -0.031185219472006507, -0.1216866476720652, 0.32374948288510447, 0.23258586698148373, 0.20335958336106166, 0.04964052418050464, 0.3270248003703143, 0.023960723560683583, 0.1265091350251416, 0.07347781029941679, 0.24880589159968988, 0.038565820212900434, 0.07933348185085014, -0.13622559538209292, 0.12189241717680402, -0.003795409448394159] |
1,801.10159 | Solar Neutrinos as a Signal and Background in Direct-Detection
Experiments Searching for Sub-GeV Dark Matter With Electron Recoils | Direct-detection experiments sensitive to low-energy electron recoils from
sub-GeV dark matter (DM) interactions will also be sensitive to solar neutrinos
via coherent neutrino-nucleus scattering (CNS), since the recoiling nucleus can
produce a small ionization signal. Solar neutrinos constitute both an
interesting signal in their own right and a potential background to a DM search
that cannot be controlled or reduced by improved shielding, material
purification and handling, or improved detector design. We explore these two
possibilities in detail for semiconductor (Si and Ge) and Xe targets,
considering several possibilities for the unmeasured ionization efficiency at
low energies. For DM-electron-scattering searches, neutrinos start being an
important background for exposures larger than ~1-10 kg-years in Si and Ge, and
for exposures larger than ~0.1-1 kg-year in Xe. For the absorption of bosonic
DM (dark photons and axion-like particles) by electrons, neutrinos are most
relevant for masses below ~1 keV and again slightly more important in Xe.
Treating the neutrinos as a signal, we find that the CNS of B-8 neutrinos can
be observed with ~2 sigma significance with exposures of ~2, 7, and 20 kg-years
in Xe, Ge, and Si, respectively, assuming there are no other backgrounds. We
give an example for how this would constrain non-standard neutrino
interactions. Neutrino components at lower energy can only be detected if the
ionization efficiency is sufficiently large. In this case, observing pep
neutrinos via CNS requires exposures ~10-100 kg-years in Si or Ge (~1000
kg-years in Xe), and observing CNO neutrinos would require an order of
magnitude more exposure. Only Si could potentially detect Be-7 neutrinos. These
measurements would allow for a direct measurement of the electron-neutrino
survival probability over a wide energy range.
| hep-ph astro-ph.CO | directdetection experiments sensitive to lowenergy electron recoils from subgev dark matter dm interactions will also be sensitive to solar neutrinos via coherent neutrinonucleus scattering cns since the recoiling nucleus can produce a small ionization signal solar neutrinos constitute both an interesting signal in their own right and a potential background to a dm search that cannot be controlled or reduced by improved shielding material purification and handling or improved detector design we explore these two possibilities in detail for semiconductor si and ge and xe targets considering several possibilities for the unmeasured ionization efficiency at low energies for dmelectronscattering searches neutrinos start being an important background for exposures larger than 110 kgyears in si and ge and for exposures larger than 011 kgyear in xe for the absorption of bosonic dm dark photons and axionlike particles by electrons neutrinos are most relevant for masses below 1 kev and again slightly more important in xe treating the neutrinos as a signal we find that the cns of b8 neutrinos can be observed with 2 sigma significance with exposures of 2 7 and 20 kgyears in xe ge and si respectively assuming there are no other backgrounds we give an example for how this would constrain nonstandard neutrino interactions neutrino components at lower energy can only be detected if the ionization efficiency is sufficiently large in this case observing pep neutrinos via cns requires exposures 10100 kgyears in si or ge 1000 kgyears in xe and observing cno neutrinos would require an order of magnitude more exposure only si could potentially detect be7 neutrinos these measurements would allow for a direct measurement of the electronneutrino survival probability over a wide energy range | [['directdetection', 'experiments', 'sensitive', 'to', 'lowenergy', 'electron', 'recoils', 'from', 'subgev', 'dark', 'matter', 'dm', 'interactions', 'will', 'also', 'be', 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1,801.1016 | Cosmologically Viable Low-energy Supersymmetry Breaking | A recent cosmological bound on the gravitino mass, $m_{3/2}<4.7$ eV, together
with LHC results on the Higgs mass and direct searches, excludes minimal gauge
mediation with high reheating temperatures. We discuss a minimal,
vector-mediated model which incorporates the seesaw mechanism for neutrino
masses, allows for thermal leptogenesis, ameliorates the $\mu$ problem, and
achieves the observed Higgs mass and a gravitino as light as $1$-$2$ eV.
| hep-ph | a recent cosmological bound on the gravitino mass m_3247 ev together with lhc results on the higgs mass and direct searches excludes minimal gauge mediation with high reheating temperatures we discuss a minimal vectormediated model which incorporates the seesaw mechanism for neutrino masses allows for thermal leptogenesis ameliorates the mu problem and achieves the observed higgs mass and a gravitino as light as 12 ev | [['a', 'recent', 'cosmological', 'bound', 'on', 'the', 'gravitino', 'mass', 'm_3247', 'ev', 'together', 'with', 'lhc', 'results', 'on', 'the', 'higgs', 'mass', 'and', 'direct', 'searches', 'excludes', 'minimal', 'gauge', 'mediation', 'with', 'high', 'reheating', 'temperatures', 'we', 'discuss', 'a', 'minimal', 'vectormediated', 'model', 'which', 'incorporates', 'the', 'seesaw', 'mechanism', 'for', 'neutrino', 'masses', 'allows', 'for', 'thermal', 'leptogenesis', 'ameliorates', 'the', 'mu', 'problem', 'and', 'achieves', 'the', 'observed', 'higgs', 'mass', 'and', 'a', 'gravitino', 'as', 'light', 'as', '12', 'ev']] | [-0.09038912900723517, 0.2979711319821945, 0.01285639707930386, 0.19905409115017392, -0.13816113826760557, -0.20933755444275448, 0.07991916296305135, 0.3110866359929787, -0.14349906323332107, -0.3717568154588662, 0.04206832948693773, -0.2539483079638103, 0.04695725989586208, 0.17571124086316559, 0.005587892941548489, 0.05510833897278644, 0.07414434781094315, -0.014862270615594753, -0.04643962874979479, -0.2494475184357725, 0.2711250728898449, 0.09822623131913133, 0.1722472490509972, 0.18128042276657652, 0.12945482056966284, -0.03951380019861972, 0.0017377818876411766, -0.15440834089531563, -0.16472597166648484, 0.04162830635505088, 0.1324863580521196, 0.07183489425369771, 0.0985508255980676, -0.29021789570106193, -0.2388727155775996, 0.19344217506295536, 0.13058980330242775, 0.09928469363330805, -0.13766923686489463, -0.2718408433138393, 0.08969007837004028, -0.21088551614957396, -0.0735981940788406, -0.029826590325683355, -0.11184427307307487, -0.2078181538527133, -0.38354836792859714, 0.15237596641964046, -0.11734231552691199, -0.07239853277860675, -0.06995803894915298, -0.20924799486238044, -0.09914619923802093, -0.09930102081125369, 0.21093809600824898, -0.04288454291963717, 0.18508497660877765, -0.1758474612433929, -0.16395327790814918, 0.44571509055094793, -0.14859605358287808, -0.06774762446730165, 0.16098463053640444, -0.08041517229867168, -0.15519760340976063, 0.10188471872243099, 0.16266282147262245, 0.08566601695201825, -0.14771623725391692, 0.24430711858167342, -0.06012719988939352, 0.18509860509584541, 0.06621288583846763, 0.04965968636679463, 0.3494472207967192, 0.27828936258447357, 0.11016447949805297, -0.016797531101474306, -0.08866676443722099, -0.023895371195976622, -0.3957711875264067, -0.10337851768872497, -0.0667098775447812, 0.07616219806959634, -0.14369652499294716, -0.07139420852763578, 0.3938684012100566, 0.14795993638108484, 0.28275854889216134, 0.12863593971815135, 0.3092178793158382, 0.08931189866598288, 0.07603065835428424, 0.00446148646005895, 0.30992371740285307, 0.15521256509236991, 0.14461187752112892, -0.28232818003743887, -0.08404046304167423, 0.08496639352233615] |
1,801.10161 | Searching for Dark Photon Dark Matter with Gravitational Wave Detectors | If dark matter stems from the background of a very light gauge boson, this
gauge boson could exert forces on test masses in gravitational wave detectors,
resulting in displacements with a characteristic frequency set by the gauge
boson mass. We outline a novel search strategy to hunt for such dark matter,
and show that both ground-based and future space-based gravitational wave
detectors have the capability to make a 5$\sigma$ discovery in unexplored
parameter regimes.
| hep-ph astro-ph.HE gr-qc | if dark matter stems from the background of a very light gauge boson this gauge boson could exert forces on test masses in gravitational wave detectors resulting in displacements with a characteristic frequency set by the gauge boson mass we outline a novel search strategy to hunt for such dark matter and show that both groundbased and future spacebased gravitational wave detectors have the capability to make a 5sigma discovery in unexplored parameter regimes | [['if', 'dark', 'matter', 'stems', 'from', 'the', 'background', 'of', 'a', 'very', 'light', 'gauge', 'boson', 'this', 'gauge', 'boson', 'could', 'exert', 'forces', 'on', 'test', 'masses', 'in', 'gravitational', 'wave', 'detectors', 'resulting', 'in', 'displacements', 'with', 'a', 'characteristic', 'frequency', 'set', 'by', 'the', 'gauge', 'boson', 'mass', 'we', 'outline', 'a', 'novel', 'search', 'strategy', 'to', 'hunt', 'for', 'such', 'dark', 'matter', 'and', 'show', 'that', 'both', 'groundbased', 'and', 'future', 'spacebased', 'gravitational', 'wave', 'detectors', 'have', 'the', 'capability', 'to', 'make', 'a', '5sigma', 'discovery', 'in', 'unexplored', 'parameter', 'regimes']] | [-0.13778508182086452, 0.24278020526509028, -0.10945236487817522, 0.11697237313618078, -0.16123765744772312, -0.12159819568733911, 0.028450809110811836, 0.3548342119147246, -0.19260330624072938, -0.327095800513603, 0.017154308956280048, -0.2565564925505503, -0.08861739540510383, 0.1960364838250334, 0.04577911027858185, 0.049460756491769, 0.07161899296585722, -0.018518397496459452, -0.03172931269855817, -0.20288679955804065, 0.3007660078740603, 0.054779057139279067, 0.1977005883849956, 0.030089372051628056, 0.12469215280175008, 0.02098346857442143, -0.061943978027163726, -0.06568857418322885, -0.12145788299646999, 0.006457622420999246, 0.23140339846596927, 0.12631439578694267, 0.23022291867842748, -0.36509610989407915, -0.23170309853614182, 0.17243878477932634, 0.12596015571427807, 0.12958885152899735, -0.15705766131931514, -0.40165114261814067, 0.02240953010717734, -0.2012417644665048, -0.14181966455244283, -0.06623604883616035, 0.00914604337004995, -0.019547396616355794, -0.26437413144378447, 0.055365956224803184, -0.08856064624883034, -0.05262623250333441, -0.048597259264489684, -0.09507947329532455, -0.02383109200682894, -0.03644638512333905, 0.11852750832819052, 0.07878539314166315, 0.19298372503898636, -0.26155494637724414, -0.1266634414637952, 0.41496804050748815, -0.1589468306157033, -0.17916088105129027, 0.2213450225221144, -0.18328368070384338, -0.14071470907436232, 0.1593620674904889, 0.23352010163000306, 0.060884009952329704, -0.18069347190966428, 0.11752295310174846, 0.02161318477836274, 0.18731894505814323, 0.08456168793192184, 0.11883639275549433, 0.406002876877382, 0.20573226104779924, 0.09492241960283168, 0.02684552691612594, -0.18011311577268047, 0.017294685003926624, -0.3478755625468251, -0.13695461834101258, -0.12940107717716004, 0.043310851086406164, -0.033956408212386144, -0.1033279261224576, 0.3568143181981066, 0.2016294355271384, 0.1455810021583897, 0.0505707518424134, 0.29078949931883125, 0.033212064314087714, 0.07560798281652702, -0.012315736416525938, 0.41882151616988955, 0.100370542753513, 0.07862859057904398, -0.1880487921817631, -0.07040834560285548, 0.03801720293012221] |
1,801.10162 | Diffuse interstellar bands {\lambda}5780 and {\lambda}5797 in the
Antennae Galaxy as seen by MUSE | ABRIDGED: Diffuse interstellar bands (DIBs) are faint spectral absorption
features of unknown origin. Research on DIBs beyond the Local Group (LG) will
surely blossom in the era of the ELTs. A possibility that needs to be explored
is the use of integral field spectrographs. We do so by using MUSE data for the
Antennae Galaxy, the closest major galaxy merger. High S-to-N spectra were
created by co-adding the signal of many spatial elements. The emission of the
underlying stellar population was modeled using STARLIGHT. To our knowledge, we
have derived the first maps for the DIBs at l5780 and l5797 in galaxies outside
the LG. The l5780 DIB was detected in an area of ~0.6 arcmin2, corresponding to
a linear scale of ~25 kpc2. This region was sampled using >200 independent
lines of sight. The DIB l5797 was detected in >100 independent lines of sight.
Both DIBs are associated with a region with high emission in the HI 21 cm line,
implying a connection between atomic gas and DIBs, as the correlations for the
Milky Way also suggest. Conversely, there is mild spatial association between
the two DIBs and the molecular gas, in agreement with results for our Galaxy
that indicate a lack of correlation between DIBs and molecular gas. The overall
structure for the DIB strength distribution and extinction are comparable.
Within the system, the l5780 DIB clearly correlates with the extinction. Both
DIBs follow the relationship between equivalent width and reddening when data
for several galaxies are considered. Unidentified Infrared emission Bands
(UIBs, likely caused by PAHs) and the l5780 and l5797 DIBs show similar but not
identical spatial distributions. We attribute the differences to extinction
effects without necessarily implying a radically different nature of the
respective carriers. The results illustrate the enormous potential of integral
field spectrographs for extragalactic DIB research.
| astro-ph.GA | abridged diffuse interstellar bands dibs are faint spectral absorption features of unknown origin research on dibs beyond the local group lg will surely blossom in the era of the elts a possibility that needs to be explored is the use of integral field spectrographs we do so by using muse data for the antennae galaxy the closest major galaxy merger high ston spectra were created by coadding the signal of many spatial elements the emission of the underlying stellar population was modeled using starlight to our knowledge we have derived the first maps for the dibs at l5780 and l5797 in galaxies outside the lg the l5780 dib was detected in an area of 06 arcmin2 corresponding to a linear scale of 25 kpc2 this region was sampled using 200 independent lines of sight the dib l5797 was detected in 100 independent lines of sight both dibs are associated with a region with high emission in the hi 21 cm line implying a connection between atomic gas and dibs as the correlations for the milky way also suggest conversely there is mild spatial association between the two dibs and the molecular gas in agreement with results for our galaxy that indicate a lack of correlation between dibs and molecular gas the overall structure for the dib strength distribution and extinction are comparable within the system the l5780 dib clearly correlates with the extinction both dibs follow the relationship between equivalent width and reddening when data for several galaxies are considered unidentified infrared emission bands uibs likely caused by pahs and the l5780 and l5797 dibs show similar but not identical spatial distributions we attribute the differences to extinction effects without necessarily implying a radically different nature of the respective carriers the results illustrate the enormous potential of integral field spectrographs for extragalactic dib research | [['abridged', 'diffuse', 'interstellar', 'bands', 'dibs', 'are', 'faint', 'spectral', 'absorption', 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1,801.10163 | 2004 EW95: A phyllosilicate bearing carbonaceous asteroid in the Kuiper
Belt | Models of the Solar System's dynamical evolution predict the dispersal of
primitive planetesimals from their formative regions amongst the gas-giant
planets due to the early phases of planetary migration. Consequently,
carbonaceous objects were scattered both into the outer asteroid belt and out
to the Kuiper Belt. These models predict that the Kuiper Belt should contain a
small fraction of objects with carbonaceous surfaces, though to date, all
reported visible reflectance spectra of small Kuiper Belt Objects (KBOs) are
linear and featureless. We report the unusual reflectance spectrum of a small
KBO, (120216) 2004 EW95, exhibiting a large drop in its near-UV reflectance and
a broad shallow optical absorption feature centered at ~700 nm which is
detected at greater than 4-sigma significance. These features, confirmed
through multiple epochs of spectral photometry and spectroscopy, have
respectively been associated with ferric oxides and phyllosilicates. The
spectrum bears striking resemblance to those of some C-type asteroids,
suggesting that 2004 EW95 may share a common origin with those objects. 2004
EW95 orbits the Sun in a stable mean motion resonance with Neptune, at
relatively high eccentricity and inclination, suggesting it may have been
emplaced there by some past dynamical instability. These results appear
consistent with the aforementioned model predictions and are the first to show
a reliably confirmed detection of silicate material on a small KBO.
| astro-ph.EP | models of the solar systems dynamical evolution predict the dispersal of primitive planetesimals from their formative regions amongst the gasgiant planets due to the early phases of planetary migration consequently carbonaceous objects were scattered both into the outer asteroid belt and out to the kuiper belt these models predict that the kuiper belt should contain a small fraction of objects with carbonaceous surfaces though to date all reported visible reflectance spectra of small kuiper belt objects kbos are linear and featureless we report the unusual reflectance spectrum of a small kbo 120216 2004 ew95 exhibiting a large drop in its nearuv reflectance and a broad shallow optical absorption feature centered at 700 nm which is detected at greater than 4sigma significance these features confirmed through multiple epochs of spectral photometry and spectroscopy have respectively been associated with ferric oxides and phyllosilicates the spectrum bears striking resemblance to those of some ctype asteroids suggesting that 2004 ew95 may share a common origin with those objects 2004 ew95 orbits the sun in a stable mean motion resonance with neptune at relatively high eccentricity and inclination suggesting it may have been emplaced there by some past dynamical instability these results appear consistent with the aforementioned model predictions and are the first to show a reliably confirmed detection of silicate material on a small kbo | [['models', 'of', 'the', 'solar', 'systems', 'dynamical', 'evolution', 'predict', 'the', 'dispersal', 'of', 'primitive', 'planetesimals', 'from', 'their', 'formative', 'regions', 'amongst', 'the', 'gasgiant', 'planets', 'due', 'to', 'the', 'early', 'phases', 'of', 'planetary', 'migration', 'consequently', 'carbonaceous', 'objects', 'were', 'scattered', 'both', 'into', 'the', 'outer', 'asteroid', 'belt', 'and', 'out', 'to', 'the', 'kuiper', 'belt', 'these', 'models', 'predict', 'that', 'the', 'kuiper', 'belt', 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1,801.10164 | Process-independent effective coupling. From QCD Green's functions to
phenomenology | This article reports on a very recent proposal for a new type of
process-independent QCD effective charge [Phys.Rev.D96(2017)054026] defined, as
an anologue of the Gell-Mann-Low effective charge in QCD, on the ground of
nothing but the knowledge of the gauge-field two-point Green's function, albeit
modified within a particular computational framework; namely, the combination
of pinch technique and background field method which makes possible a
systematic rearranging of classes of diagrams in order to redefine the Green's
function and have them obey linear QED-like Slavnov-Taylor identities. We have
here calculated that effective charge, shown how strikingly well it compares to
a process-dependent effective charge based on the Bjorken sum rule; and,
finally, employed it in an exploratory calculation of the proton
electromagnetic form factor in the hard scattering regime.
| nucl-th | this article reports on a very recent proposal for a new type of processindependent qcd effective charge physrevd962017054026 defined as an anologue of the gellmannlow effective charge in qcd on the ground of nothing but the knowledge of the gaugefield twopoint greens function albeit modified within a particular computational framework namely the combination of pinch technique and background field method which makes possible a systematic rearranging of classes of diagrams in order to redefine the greens function and have them obey linear qedlike slavnovtaylor identities we have here calculated that effective charge shown how strikingly well it compares to a processdependent effective charge based on the bjorken sum rule and finally employed it in an exploratory calculation of the proton electromagnetic form factor in the hard scattering regime | [['this', 'article', 'reports', 'on', 'a', 'very', 'recent', 'proposal', 'for', 'a', 'new', 'type', 'of', 'processindependent', 'qcd', 'effective', 'charge', 'physrevd962017054026', 'defined', 'as', 'an', 'anologue', 'of', 'the', 'gellmannlow', 'effective', 'charge', 'in', 'qcd', 'on', 'the', 'ground', 'of', 'nothing', 'but', 'the', 'knowledge', 'of', 'the', 'gaugefield', 'twopoint', 'greens', 'function', 'albeit', 'modified', 'within', 'a', 'particular', 'computational', 'framework', 'namely', 'the', 'combination', 'of', 'pinch', 'technique', 'and', 'background', 'field', 'method', 'which', 'makes', 'possible', 'a', 'systematic', 'rearranging', 'of', 'classes', 'of', 'diagrams', 'in', 'order', 'to', 'redefine', 'the', 'greens', 'function', 'and', 'have', 'them', 'obey', 'linear', 'qedlike', 'slavnovtaylor', 'identities', 'we', 'have', 'here', 'calculated', 'that', 'effective', 'charge', 'shown', 'how', 'strikingly', 'well', 'it', 'compares', 'to', 'a', 'processdependent', 'effective', 'charge', 'based', 'on', 'the', 'bjorken', 'sum', 'rule', 'and', 'finally', 'employed', 'it', 'in', 'an', 'exploratory', 'calculation', 'of', 'the', 'proton', 'electromagnetic', 'form', 'factor', 'in', 'the', 'hard', 'scattering', 'regime']] | [-0.08842270790427435, 0.12394905269043409, -0.1384408705598039, 0.10366131261356973, -0.08422762616574468, -0.07001527565270885, 0.07108229428293213, 0.3483478851867692, -0.20361606047178307, -0.26489981467879953, 0.013582196049687882, -0.25916477756959105, -0.16378105035613452, 0.1415666902718681, 0.02983704913732788, 0.0612037317746038, -0.027077938721973508, 0.04566199701493754, -0.11417077262821193, -0.20518203591927886, 0.34579426957856096, 0.049103081357316114, 0.31067306077152135, 0.1262640353691365, 0.10820361352082164, 0.06444123970152485, -0.07388388752484129, 0.04786063925850959, -0.11502264839619451, 0.08997460944108694, 0.2278557742931067, 0.05525649438375637, 0.1931323923229698, -0.4122062084738106, -0.15476693782127565, 0.02879233360992715, 0.16031898037781792, 0.1265502376047643, -0.030939612788007786, -0.21832286742412382, 0.03567535276820381, -0.22227716672101192, -0.16565393978020265, -0.14713113673127418, 0.006336759638211262, -0.014489433295758707, -0.2860880856816139, 0.07672152739103204, 0.005645051998611066, -0.0029437045034553322, -0.025270300917327404, -0.15385320473606476, 0.034922039008788056, 0.0881738312697659, 0.08569013576451985, 0.10847422455082692, 0.13750522473220905, -0.18091747528200763, -0.10697352093097473, 0.3663309287448, -0.0500913677170747, -0.21538198113788865, 0.1388954348392814, -0.12046772475162196, -0.14801155582314268, 0.12113164360856726, 0.11673109733595675, 0.15291654580597958, -0.208845103211287, 0.10343844811145644, -0.039106550729937024, 0.145007318482616, 0.06906311929647234, 0.05850435886532068, 0.199486526139524, 0.14230053365370998, 0.006908713237545084, 0.11404303205846292, -0.03276450906178936, -0.10146339800502617, -0.3542740893446737, -0.11050574207264516, -0.19977535629674556, 0.07067450685130935, -0.09046005995413806, -0.20315348028851163, 0.39686392647369456, 0.1513616498042312, 0.15819668545575244, 0.038362901278084054, 0.2982741679020581, 0.14215555312093495, 0.11593112467773377, 0.03379223031815999, 0.24032599727312723, 0.14836022251152567, 0.1236298839591207, -0.2576507239912947, -0.009319998136359371, 0.1221365023308271] |
1,801.10165 | Probability Density Functions for CP-Violating Rephasing Invariants | The implications of the anarchy principle on CP violation in the lepton
sector are investigated. A systematic method is introduced to compute the
probability density functions for the CP-violating rephasing invariants of the
PMNS matrix from the Haar measure relevant to the anarchy principle. Contrary
to the CKM matrix which is hierarchical, it is shown that the Haar measure, and
hence the anarchy principle, are very likely to lead to the observed PMNS
matrix. Predictions on the CP-violating Dirac rephasing invariant $|j_D|$ and
Majorana rephasing invariant $|j_1|$ are also obtained. They correspond to
$\langle|j_D|\rangle_\text{Haar}=\pi/105\approx0.030$ and
$\langle|j_1|\rangle_\text{Haar}=1/(6\pi)\approx0.053$ respectively, in
agreement with the experimental hint from T2K of
$|j_D^\text{exp}|\approx0.032\pm0.005$ (or $\approx0.033\pm0.003$) for the
normal (or inverted) hierarchy.
| hep-ph | the implications of the anarchy principle on cp violation in the lepton sector are investigated a systematic method is introduced to compute the probability density functions for the cpviolating rephasing invariants of the pmns matrix from the haar measure relevant to the anarchy principle contrary to the ckm matrix which is hierarchical it is shown that the haar measure and hence the anarchy principle are very likely to lead to the observed pmns matrix predictions on the cpviolating dirac rephasing invariant j_d and majorana rephasing invariant j_1 are also obtained they correspond to langlej_drangle_texthaarpi105approx0030 and langlej_1rangle_texthaar16piapprox0053 respectively in agreement with the experimental hint from t2k of j_dtextexpapprox0032pm0005 or approx0033pm0003 for the normal or inverted hierarchy | [['the', 'implications', 'of', 'the', 'anarchy', 'principle', 'on', 'cp', 'violation', 'in', 'the', 'lepton', 'sector', 'are', 'investigated', 'a', 'systematic', 'method', 'is', 'introduced', 'to', 'compute', 'the', 'probability', 'density', 'functions', 'for', 'the', 'cpviolating', 'rephasing', 'invariants', 'of', 'the', 'pmns', 'matrix', 'from', 'the', 'haar', 'measure', 'relevant', 'to', 'the', 'anarchy', 'principle', 'contrary', 'to', 'the', 'ckm', 'matrix', 'which', 'is', 'hierarchical', 'it', 'is', 'shown', 'that', 'the', 'haar', 'measure', 'and', 'hence', 'the', 'anarchy', 'principle', 'are', 'very', 'likely', 'to', 'lead', 'to', 'the', 'observed', 'pmns', 'matrix', 'predictions', 'on', 'the', 'cpviolating', 'dirac', 'rephasing', 'invariant', 'j_d', 'and', 'majorana', 'rephasing', 'invariant', 'j_1', 'are', 'also', 'obtained', 'they', 'correspond', 'to', 'langlej_drangle_texthaarpi105approx0030', 'and', 'langlej_1rangle_texthaar16piapprox0053', 'respectively', 'in', 'agreement', 'with', 'the', 'experimental', 'hint', 'from', 't2k', 'of', 'j_dtextexpapprox0032pm0005', 'or', 'approx0033pm0003', 'for', 'the', 'normal', 'or', 'inverted', 'hierarchy']] | [-0.1130761518971659, 0.2195449157005495, -0.06038831794416314, 0.15335013981602313, -0.04837671650556831, -0.15961675551879378, 0.09301401083231778, 0.3268529479098213, -0.267984593362623, -0.26944494986621376, 0.07802964126699613, -0.29285865695308055, -0.11721638530945859, 0.1225815530623066, -0.007384634837361371, 0.1037776924854329, 0.04130502511235373, 0.014231751513507989, -0.1501174127999777, -0.19740150270664747, 0.29984809218503133, 0.014658494441358893, 0.30063364216806115, 0.07249727658507926, 0.033200338046561494, -0.07301225713118575, -0.04300510421026129, -0.08088128612720752, -0.09996623990393656, 0.08093411021714879, 0.21622404543397664, 0.10917558651081882, 0.041834585872050876, -0.33352241212049044, -0.06756467967050837, 0.1699825736551403, 0.06750028118541515, 0.057133882494248986, -0.024628411552675807, -0.37774105885208725, 0.07664108126180934, -0.18992645843877448, -0.13563089511097148, -0.10759432294389217, -0.03765582907861015, -0.09010814883754598, -0.3772931953489378, 0.08749900812986894, -0.025096493764772073, -0.026551416416459524, 0.05461606896180358, -0.18592863171655047, -0.02357993004340175, 0.06405917813514804, 0.1501214731807678, -0.008728439109987236, 0.10680077809851977, -0.06220130417244257, -0.10549334790725429, 0.4453766991144155, -0.06933449474708722, -0.2109961745807448, 0.10275291102762157, -0.19353713401433853, -0.14967356561389458, 0.09708678203441941, 0.11914924090845627, 0.03298689061691901, -0.1319640945425039, 0.09926200138985994, -0.10931671229254052, 0.14959401735482183, 0.08232150855683931, 0.06361606446463722, 0.2148682441528853, 0.1256476094660995, 0.13680415539289112, 0.004691874432201321, -0.05758754878413973, -0.11837674955300449, -0.34253258672584824, -0.1251693528359504, -0.1767669744571453, 0.06946619266123923, -0.09450744454885796, -0.1359799139425557, 0.41725417954830435, 0.13418800221873564, 0.18240144752754686, 0.0605035736257009, 0.22964124531099186, 0.12034936918382037, 0.055040607692438875, 0.014431731330717469, 0.29025207794699315, 0.21072733656897605, 0.0885072174809269, -0.27799542452972215, 0.12072466981916076, 0.10918979600348787] |
1,801.10166 | Ubiquitous Instabilities of Dust Moving in Magnetized Gas | Squire & Hopkins (2017) showed that coupled dust-gas mixtures are generically
subject to 'resonant drag instabilities' (RDIs), which drive violently-growing
fluctuations in both. But the role of magnetic fields and charged dust has not
yet been studied. We therefore explore the RDI in gas which obeys ideal MHD and
is coupled to dust via both Lorentz forces and drag, with an external
acceleration (e.g., gravity, radiation) driving dust drift through gas. We show
this is always unstable, at all wavelengths and non-zero values of dust-to-gas
ratio, drift velocity, dust charge, 'stopping time' or drag coefficient (for
any drag law), or field strength; moreover growth rates depend only weakly
(sub-linearly) on these parameters. Dust charge and magnetic fields do not
suppress instabilities, but give rise to a large number of new instability
'families,' each with distinct behavior. The 'MHD-wave' (magnetosonic or
Alfven) RDIs exhibit maximal growth along 'resonant' angles where the modes
have a phase velocity matching the corresponding MHD wave, and growth rates
increase without limit with wavenumber. The 'gyro' RDIs are driven by
resonances between drift and Larmor frequencies, giving growth rates sharply
peaked at specific wavelengths. Other instabilities include 'acoustic' and
'pressure-free' modes (previously studied), and a family akin to cosmic ray
instabilities which appear when Lorentz forces are strong and dust streams
super-Alfvenically along field lines. We discuss astrophysical applications in
the warm ISM, CGM/IGM, HII regions, SNe ejecta/remnants, Solar corona,
cool-star winds, GMCs, and AGN.
| astro-ph.GA astro-ph.CO astro-ph.SR physics.flu-dyn physics.plasm-ph | squire hopkins 2017 showed that coupled dustgas mixtures are generically subject to resonant drag instabilities rdis which drive violentlygrowing fluctuations in both but the role of magnetic fields and charged dust has not yet been studied we therefore explore the rdi in gas which obeys ideal mhd and is coupled to dust via both lorentz forces and drag with an external acceleration eg gravity radiation driving dust drift through gas we show this is always unstable at all wavelengths and nonzero values of dusttogas ratio drift velocity dust charge stopping time or drag coefficient for any drag law or field strength moreover growth rates depend only weakly sublinearly on these parameters dust charge and magnetic fields do not suppress instabilities but give rise to a large number of new instability families each with distinct behavior the mhdwave magnetosonic or alfven rdis exhibit maximal growth along resonant angles where the modes have a phase velocity matching the corresponding mhd wave and growth rates increase without limit with wavenumber the gyro rdis are driven by resonances between drift and larmor frequencies giving growth rates sharply peaked at specific wavelengths other instabilities include acoustic and pressurefree modes previously studied and a family akin to cosmic ray instabilities which appear when lorentz forces are strong and dust streams superalfvenically along field lines we discuss astrophysical applications in the warm ism cgmigm hii regions sne ejectaremnants solar corona coolstar winds gmcs and agn | [['squire', 'hopkins', '2017', 'showed', 'that', 'coupled', 'dustgas', 'mixtures', 'are', 'generically', 'subject', 'to', 'resonant', 'drag', 'instabilities', 'rdis', 'which', 'drive', 'violentlygrowing', 'fluctuations', 'in', 'both', 'but', 'the', 'role', 'of', 'magnetic', 'fields', 'and', 'charged', 'dust', 'has', 'not', 'yet', 'been', 'studied', 'we', 'therefore', 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1,801.10167 | Interacting Qubit-Photon Bound States with Superconducting Circuits | Qubits strongly coupled to a photonic crystal give rise to many exotic
physical scenarios, beginning with single and multi-excitation qubit-photon
dressed bound states comprising induced spatially localized photonic modes,
centered around the qubits, and the qubits themselves. The localization of
these states changes with qubit detuning from the band-edge, offering an avenue
of in situ control of bound state interaction. Here, we present experimental
results from a device with two qubits coupled to a superconducting microwave
photonic crystal and realize tunable on-site and inter-bound state
interactions. We observe a fourth-order two photon virtual process between
bound states indicating strong coupling between the photonic crystal and
qubits. Due to their localization-dependent interaction, these states offer the
ability to create one-dimensional chains of bound states with tunable and
potentially long-range interactions that preserve the qubits' spatial
organization, a key criterion for realization of certain quantum many-body
models. The widely tunable, strong and robust interactions demonstrated with
this system are promising benchmarks towards realizing larger, more complex
systems of bound states.
| quant-ph | qubits strongly coupled to a photonic crystal give rise to many exotic physical scenarios beginning with single and multiexcitation qubitphoton dressed bound states comprising induced spatially localized photonic modes centered around the qubits and the qubits themselves the localization of these states changes with qubit detuning from the bandedge offering an avenue of in situ control of bound state interaction here we present experimental results from a device with two qubits coupled to a superconducting microwave photonic crystal and realize tunable onsite and interbound state interactions we observe a fourthorder two photon virtual process between bound states indicating strong coupling between the photonic crystal and qubits due to their localizationdependent interaction these states offer the ability to create onedimensional chains of bound states with tunable and potentially longrange interactions that preserve the qubits spatial organization a key criterion for realization of certain quantum manybody models the widely tunable strong and robust interactions demonstrated with this system are promising benchmarks towards realizing larger more complex systems of bound states | [['qubits', 'strongly', 'coupled', 'to', 'a', 'photonic', 'crystal', 'give', 'rise', 'to', 'many', 'exotic', 'physical', 'scenarios', 'beginning', 'with', 'single', 'and', 'multiexcitation', 'qubitphoton', 'dressed', 'bound', 'states', 'comprising', 'induced', 'spatially', 'localized', 'photonic', 'modes', 'centered', 'around', 'the', 'qubits', 'and', 'the', 'qubits', 'themselves', 'the', 'localization', 'of', 'these', 'states', 'changes', 'with', 'qubit', 'detuning', 'from', 'the', 'bandedge', 'offering', 'an', 'avenue', 'of', 'in', 'situ', 'control', 'of', 'bound', 'state', 'interaction', 'here', 'we', 'present', 'experimental', 'results', 'from', 'a', 'device', 'with', 'two', 'qubits', 'coupled', 'to', 'a', 'superconducting', 'microwave', 'photonic', 'crystal', 'and', 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1,801.10168 | Towards Space from Hilbert Space: Finding Lattice Structure in
Finite-Dimensional Quantum Systems | Field theories place one or more degrees of freedom at every point in space.
Hilbert spaces describing quantum field theories, or their finite-dimensional
discretizations on lattices, therefore have large amounts of structure: they
are isomorphic to the tensor product of a smaller Hilbert space for each
lattice site or point in space. Local field theories respecting this structure
have interactions which preferentially couple nearby points. The emergence of
classicality through decoherence relies on this framework of tensor-product
decomposition and local interactions. We explore the emergence of such lattice
structure from Hilbert-space considerations alone. We point out that the vast
majority of finite-dimensional Hilbert spaces cannot be isomorphic to the
tensor product of Hilbert-space subfactors that describes a lattice theory. A
generic Hilbert space can only be split into a direct sum corresponding to a
basis of state vectors spanning the Hilbert space; we consider setups in which
the direct sum is naturally decomposed into two pieces. We define a notion of
direct-sum locality which characterizes states and decompositions compatible
with Hamiltonian time evolution. We illustrate these notions for a toy model
that is the finite-dimensional discretization of the quantum-mechanical
double-well potential. We discuss their relevance in cosmology and field
theory, especially for theories which describe a landscape of vacua with
different spacetime geometries.
| quant-ph gr-qc hep-th | field theories place one or more degrees of freedom at every point in space hilbert spaces describing quantum field theories or their finitedimensional discretizations on lattices therefore have large amounts of structure they are isomorphic to the tensor product of a smaller hilbert space for each lattice site or point in space local field theories respecting this structure have interactions which preferentially couple nearby points the emergence of classicality through decoherence relies on this framework of tensorproduct decomposition and local interactions we explore the emergence of such lattice structure from hilbertspace considerations alone we point out that the vast majority of finitedimensional hilbert spaces cannot be isomorphic to the tensor product of hilbertspace subfactors that describes a lattice theory a generic hilbert space can only be split into a direct sum corresponding to a basis of state vectors spanning the hilbert space we consider setups in which the direct sum is naturally decomposed into two pieces we define a notion of directsum locality which characterizes states and decompositions compatible with hamiltonian time evolution we illustrate these notions for a toy model that is the finitedimensional discretization of the quantummechanical doublewell potential we discuss their relevance in cosmology and field theory especially for theories which describe a landscape of vacua with different spacetime geometries | [['field', 'theories', 'place', 'one', 'or', 'more', 'degrees', 'of', 'freedom', 'at', 'every', 'point', 'in', 'space', 'hilbert', 'spaces', 'describing', 'quantum', 'field', 'theories', 'or', 'their', 'finitedimensional', 'discretizations', 'on', 'lattices', 'therefore', 'have', 'large', 'amounts', 'of', 'structure', 'they', 'are', 'isomorphic', 'to', 'the', 'tensor', 'product', 'of', 'a', 'smaller', 'hilbert', 'space', 'for', 'each', 'lattice', 'site', 'or', 'point', 'in', 'space', 'local', 'field', 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